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last edited 12 years ago by Bill Page |
Edit detail for SandBoxPauliAlgebra revision 3 of 7
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Editor: Bill Page
Time: 2011/05/30 15:26:59 GMT-7 |
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| Note: Clifford algebras | ||
removed:
-
-Co-associativity
-\begin{axiom}
-test(
- ( λ ) / _
- ( I λ ) = _
- ( λ ) / _
- ( λ I ) )
-\end{axiom}
The Pauli Algebra Cl(3) Is Frobenius In Many WaysLinear operators over a 8-dimensional vector space representing Pauli algebra
Ref:
- http://arxiv.org/abs/1103.5113
$S_3$-permuted Frobenius Algebras
Zbigniew Oziewicz (UNAM), Gregory Peter Wene (UTSA)
- http://mat.uab.es/~kock/TQFT.html
Frobenius algebras and 2D topological quantum field theories
Joachim Kock
- http://en.wikipedia.org/wiki/Frobenius_algebra
- http://en.wikipedia.org/wiki/Pauli_matrices
- http://en.wikipedia.org/wiki/Clifford_algebra
We need the Axiom LinearOperator library. \begin{axiom} )library CARTEN ARITY CMONAL CPROP CLOP CALEY \end{axiom}
Use the following macros for convenient notation \begin{axiom} -- summation macro Σ(x,i,n)==reduce(+,[x for i in n]) -- list macro Ξ(f,i,n)==[f for i in n] -- subscript and superscripts macro sb == subscript macro sp == superscript \end{axiom}
𝐋 is the domain of 8-dimensional linear operators over the rational functions ℚ (Expression Integer), i.e. ratio of polynomials with integer coefficients. \begin{axiom} dim:=8 macro ℒ == List macro ℂ == CaleyDickson macro ℚ == Expression Integer 𝐋 := ClosedLinearOperator(OVAR ['1,'i,'j,'k,'ij,'ik,'jk,'ijk], ℚ) 𝐞:ℒ 𝐋 := basisOut() 𝐝:ℒ 𝐋 := basisIn() I:𝐋:=[1] -- identity for composition X:𝐋:=[2,1] -- twist V:𝐋:=ev(1) -- evaluation Λ:𝐋:=co(1) -- co-evaluation equate(eq)==map((x,y)+->(x=y),ravel lhs eq, ravel rhs eq); \end{axiom}
Now generate structure constants for Quaternion Algebra
The basis consists of the real and imaginary units. We use quaternion multiplication to form the "multiplication table" as a matrix. Then the structure constants can be obtained by dividing each matrix entry by the list of basis vectors.
The Pauli Algebra as Cl(3)
Basis: Each B.i is a Clifford number \begin{axiom} q0:=sp('i,[2]) q1:=sp('j,[2]) q2:=sp('k,[2]) QQ:=CliffordAlgebra(3,ℚ,matrix [[-q0,0,0],[0,-q1,0],[0,0,-q2]]) B:ℒ QQ := [monomial(1,[]),monomial(1,[1]),monomial(1,[2]),monomial(1,[3]),monomial(1,[1,2]),monomial(1,[1,3]),monomial(1,[2,3]),monomial(1,[1,2,3])] M:Matrix QQ := matrix Ξ(Ξ(B.iB.j, i,1..dim), j,1..dim) S(y) == map(x +-> coefficient(recip(y)x,[]),M) ѕ :=map(S,B)::ℒ ℒ ℒ ℚ -- structure constants form a tensor operator Y := Σ(Σ(Σ(ѕ(i)(k)(j)*𝐞.i*𝐝.j*𝐝.k, i,1..dim), j,1..dim), k,1..dim) arity Y matrix Ξ(Ξ((𝐞.i*𝐞.j)/Y, i,1..dim), j,1..dim) \end{axiom}
Multiplication of arbitrary Clifford numbers $a$ and $b$ \begin{axiom} a:=Σ(sb('a,[i])*𝐞.i, i,1..dim) b:=Σ(sb('b,[i])*𝐞.i, i,1..dim) (a*b)/Y \end{axiom}
Multiplication is Associative \begin{axiom} test( ( I Y ) / ( Y ) = ( Y I ) / _ ( Y ) ) \end{axiom}
A scalar product is denoted by the (2,0)-tensor $U = \{ u_{ij} \}$ \begin{axiom} U:=Σ(Σ(script('u,[[],[i,j]])*𝐝.i*𝐝.j, i,1..dim), j,1..dim) \end{axiom}
Definition 1
We say that the scalar product is associative if the tensor equation holds:
Y = Y
U U
Using the LinearOperator? domain in Axiom and some carefully chosen symbols we can easily enter expressions that are both readable and interpreted by Axiom as "graphical calculus" diagrams describing complex products and compositions of linear operators.
\begin{axiom}
ω:𝐋 := ( Y I ) / U - ( I Y ) / U;
\end{axiom}
Definition 2
An algebra with a non-degenerate associative scalar product is called a [Frobenius Algebra]?.
The Cartan-Killing Trace \begin{axiom}
Ú:= ( Y Λ ) / ( Y I ) / V Ù:= ( Λ Y ) / ( I Y ) / V
test(Ù=Ú)
\end{axiom} forms a non-degenerate associative scalar product for Y \begin{axiom} Ũ := Ù test ( Y I ) / Ũ = ( I Y ) / Ũ determinant Ξ(Ξ(retract((𝐞.i * 𝐞.j)/Ũ), j,1..dim), i,1..dim) \end{axiom}
General Solution
We may consider the problem where multiplication Y is given, and look for all associative scalar products $U = U(Y)$
This problem can be solved using linear algebra.
\begin{axiom} )expose MCALCFN J := jacobian(ravel ω,concat map(variables,ravel U)::ℒ Symbol); nrows(J),ncols(J) \end{axiom}
The matrix J transforms the coefficients of the tensor $U$
into coefficients of the tensor $\Phi$. We are looking for
the general linear family of tensors $U=U(Y,p_i)$ such that
J transforms $U$ into $\Phi=0$ for any such $U$.
If the null space of the J matrix is not empty we can use
the basis to find all non-trivial solutions for U:
\begin{axiom} Ñ:=nullSpace(J); ℰ:=map((x,y)+->x=y, concat map(variables,ravel U), entries Σ(sb('p,[i]?)*Ñ.i, i,1..#Ñ) ); \end{axiom}
This defines a family of pre-Frobenius algebras: \begin{axiom} zero? eval(ω,ℰ) \end{axiom}
In general the pairing is not symmetric! \begin{axiom} Ų:𝐋 := eval(U,ℰ) matrix Ξ(Ξ((𝐞.i 𝐞.j)/Ų, i,1..dim), j,1..dim) \end{axiom}
Cartan-Killing is a special case \begin{axiom} ck:=solve(equate(Ũ=Ų),Ξ(sb('p,[i]?), i,1..#Ñ)).1 \end{axiom}
The scalar product must be non-degenerate: \begin{axiom} Ů:=determinant Ξ(Ξ(retract((𝐞.i * 𝐞.j)/Ų), j,1..dim), i,1..dim) factor(numer Ů)/factor(denom Ů) \end{axiom}
Definition 3
Co-scalar product (pairing)
Solve the [Snake Relation]? as a system of linear equations. \begin{axiom} mU:=inverse matrix Ξ(Ξ(retract((𝐞.i*𝐞.j)/Ų), i,1..dim), j,1..dim) Ω:=Σ(Σ(mU(i,j)*(𝐞.i*𝐞.j), i,1..dim), j,1..dim); ΩX:=Ω/X; --matrix Ξ(Ξ(Ω/(𝐝.i*𝐝.j), i,1..dim), j,1..dim) \end{axiom}
Check "dimension" and the snake relations. \begin{axiom}
d:𝐋:= Ω / Ų
test ( I ΩX ) / ( Ų I ) = I
test ( ΩX I ) / ( I Ų ) = I
\end{axiom}
Cartan-Killing co-scalar \begin{axiom} eval(Ω,ck) \end{axiom}
Definition 4
Co-algebra
Compute the "three-point" function and use it to define co-multiplication. \begin{axiom}
W:=(Y I) / Ų;
\end{axiom}
Cartan-Killing co-multiplication \begin{axiom} eval(λ,ck) \end{axiom}
\begin{axiom}
--test λ:= _ ( I ΩX ) / _ ( Y I ) ;
test ( ΩX I ) / ( I Y ) = λ
\end{axiom}
Frobenius Condition (fork) \begin{axiom}
H := Y / λ;
test ( λ I ) / ( I Y ) = H
test ( I λ ) / ( Y I ) = H
\end{axiom}
The Cartan-Killing form makes H of the Frobenius condition idempotent \begin{axiom} test( eval(H,ck)=eval(H/H,ck) ) \end{axiom}
Handle \begin{axiom}
Φ := λ / Y;
\end{axiom}
The Cartan-Killing form makes Φ of the identity \begin{axiom} test( eval(Φ,ck)=I ) \end{axiom}
Definition 5
Unit \begin{axiom}
e:=𝐞.1 test e / λ = ΩX
\end{axiom}
Co-unit \begin{axiom}
d:= ( e I ) / Ų test Y / d = Ų
\end{axiom}
Figure 12
\begin{axiom}
φφ:= _ ( Ω Ω ) / ( X I I ) / ( I X I ) / ( I I X ) / ( Y Y );
φφ1:=map((x:ℚ):ℚ+->numer x,φφ) φφ2:=denom(ravel(φφ).1) test(φφ=(1/φφ2)*φφ1) \end{axiom} For Cartan-Killing this is just the co-scalar \begin{axiom} test(eval(φφ,ck)=eval(Ω,ck)) test(eval((e,e)/H,ck)=eval(Ω,ck)) \end{axiom}
Bi-algebra conditions \begin{axiom} ΦΦ:= _ ( λ λ ) / ( I I X ) / ( I X I ) / ( I I X ) / ( Y Y ) ; test((e,e)/ΦΦ=φφ) test(eval(ΦΦ,ck)=eval(H/H,ck)) test(eval(ΦΦ/(d,d),ck)=Ũ) test(eval(H/(d,d),ck)=Ũ) \end{axiom}
Some or all expressions may not have rendered properly, because Axiom returned the following error:
Error: export AXIOM=/usr/local/lib/fricas/target/x86_64-unknown-linux; export ALDORROOT=/usr/local/aldor/linux/1.1.0; export PATH=$ALDORROOT/bin:$PATH; export HOME=/var/zope2/var/LatexWiki; ulimit -t 600; export LD_LIBRARY_PATH=/usr/local/lib/fricas/target/x86_64-unknown-linux/lib; LANG=en_US.UTF-8 $AXIOM/bin/AXIOMsys < /var/zope2/var/LatexWiki/5800776500996097587-25px.axm KilledChecking for foreign routines AXIOM="/usr/local/lib/fricas/target/x86_64-unknown-linux" spad-lib="/usr/local/lib/fricas/target/x86_64-unknown-linux/lib/libspad.so" foreign routines found openServer result -2 FriCAS (AXIOM fork) Computer Algebra System Version: FriCAS 2010-12-08 Timestamp: Tuesday April 5, 2011 at 13:07:45 ----------------------------------------------------------------------------- Issue )copyright to view copyright notices. Issue )summary for a summary of useful system commands. Issue )quit to leave FriCAS and return to shell. -----------------------------------------------------------------------------
(1) -> (1) -> (1) -> (1) -> (1) -> )library CARTEN ARITY CMONAL CPROP CLOP CALEY
CartesianTensor is now explicitly exposed in frame initial CartesianTensor will be automatically loaded when needed from /var/zope2/var/LatexWiki/CARTEN.NRLIB/CARTEN Arity is now explicitly exposed in frame initial Arity will be automatically loaded when needed from /var/zope2/var/LatexWiki/ARITY.NRLIB/ARITY ClosedMonoidal is now explicitly exposed in frame initial ClosedMonoidal will be automatically loaded when needed from /var/zope2/var/LatexWiki/CMONAL.NRLIB/CMONAL ClosedProp is now explicitly exposed in frame initial ClosedProp will be automatically loaded when needed from /var/zope2/var/LatexWiki/CPROP.NRLIB/CPROP ClosedLinearOperator is now explicitly exposed in frame initial ClosedLinearOperator will be automatically loaded when needed from /var/zope2/var/LatexWiki/CLOP.NRLIB/CLOP CaleyDickson is now explicitly exposed in frame initial CaleyDickson will be automatically loaded when needed from /var/zope2/var/LatexWiki/CALEY.NRLIB/CALEY (1) -> -- summation macro Σ(x,i,n)==reduce(+,[x for i in n])
- Type: Void
- list macro Ξ(f,i,n)==[f for i in n]
- Type: Void
- subscript and superscripts macro sb == subscript
Type: Void macro sp == superscript
Type: Void (5) -> dim:=8
$$ 8 \leqno(5) $$
Type: PositiveInteger macro ℒ == List
Type: Void macro ℂ == CaleyDickson
Type: Void macro ℚ == Expression Integer
Type: Void 𝐋 := ClosedLinearOperator(OVAR ['1,'i,'j,'k,'ij,'ik,'jk,'ijk], ℚ)
$$ ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) \leqno(9) $$
Type: Type 𝐞:ℒ 𝐋 := basisOut()
$$ \left[ {| \sb {{ \ 1}}}, \: {| \sb {{ \ i}}}, \: {| \sb {{ \ j}}}, \: {| \sb {{ \ k}}}, \: {| \sb {{ \ ij}}}, \: {| \sb {{ \ ik}}}, \: {| \sb {{ \ jk}}}, \: {| \sb {{ \ ijk}}} \right] \leqno(10) $$
Type: List(ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))) 𝐝:ℒ 𝐋 := basisIn()
$$ \left[ {| \sp {{ \ 1}}}, \: {| \sp {{ \ i}}}, \: {| \sp {{ \ j}}}, \: {| \sp {{ \ k}}}, \: {| \sp {{ \ ij}}}, \: {| \sp {{ \ ik}}}, \: {| \sp {{ \ jk}}}, \: {| \sp {{ \ ijk}}} \right] \leqno(11) $$
Type: List(ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))) I:𝐋:=[1] -- identity for composition
$$ {| \sb {{ \ 1}} \sp {{ \ 1}}}+{| \sb {{ \ i}} \sp {{ \ i}}}+{| \sb {{ \ j}} \sp {{ \ j}}}+{| \sb {{ \ k}} \sp {{ \ k}}}+{| \sb {{ \ ij}} \sp {{ \ ij}}}+{| \sb {{ \ ik}} \sp {{ \ ik}}}+{| \sb {{ \ jk}} \sp {{ \ jk}}}+{| \sb {{ \ ijk}} \sp {{ \ ijk}}} \leqno(12) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) X:𝐋:=[2,1] -- twist
$$ {| \sb {{ \ 1 \ 1}} \sp {{ \ 1 \ 1}}}+{| \sb {{ \ i \ 1}} \sp {{ \ 1 \ i}}}+{| \sb {{ \ j \ 1}} \sp {{ \ 1 \ j}}}+{| \sb {{ \ k \ 1}} \sp {{ \ 1 \ k}}}+{| \sb {{ \ ij \ 1}} \sp {{ \ 1 \ ij}}}+{| \sb {{ \ ik \ 1}} \sp {{ \ 1 \ ik}}}+{| \sb {{ \ jk \ 1}} \sp {{ \ 1 \ jk}}}+{| \sb {{ \ ijk \ 1}} \sp {{ \ 1 \ ijk}}}+{| \sb {{ \ 1 \ i}} \sp {{ \ i \ 1}}}+{| \sb {{ \ i \ i}} \sp {{ \ i \ i}}}+{| \sb {{ \ j \ i}} \sp {{ \ i \ j}}}+{| \sb {{ \ k \ i}} \sp {{ \ i \ k}}}+{| \sb {{ \ ij \ i}} \sp {{ \ i \ ij}}}+{| \sb {{ \ ik \ i}} \sp {{ \ i \ ik}}}+{| \sb {{ \ jk \ i}} \sp {{ \ i \ jk}}}+{| \sb {{ \ ijk \ i}} \sp {{ \ i \ ijk}}}+{| \sb {{ \ 1 \ j}} \sp {{ \ j \ 1}}}+{| \sb {{ \ i \ j}} \sp {{ \ j \ i}}}+{| \sb {{ \ j \ j}} \sp {{ \ j \ j}}}+{| \sb {{ \ k \ j}} \sp {{ \ j \ k}}}+{| \sb {{ \ ij \ j}} \sp {{ \ j \ ij}}}+{| \sb {{ \ ik \ j}} \sp {{ \ j \ ik}}}+{| \sb {{ \ jk \ j}} \sp {{ \ j \ jk}}}+{| \sb {{ \ ijk \ j}} \sp {{ \ j \ ijk}}}+{| \sb {{ \ 1 \ k}} \sp {{ \ k \ 1}}}+{| \sb {{ \ i \ k}} \sp {{ \ k \ i}}}+{| \sb {{ \ j \ k}} \sp {{ \ k \ j}}}+{| \sb {{ \ k \ k}} \sp {{ \ k \ k}}}+{| \sb {{ \ ij \ k}} \sp {{ \ k \ ij}}}+{| \sb {{ \ ik \ k}} \sp {{ \ k \ ik}}}+{| \sb {{ \ jk \ k}} \sp {{ \ k \ jk}}}+{| \sb {{ \ ijk \ k}} \sp {{ \ k \ ijk}}}+{| \sb {{ \ 1 \ ij}} \sp {{ \ ij \ 1}}}+{| \sb {{ \ i \ ij}} \sp {{ \ ij \ i}}}+{| \sb {{ \ j \ ij}} \sp {{ \ ij \ j}}}+{| \sb {{ \ k \ ij}} \sp {{ \ ij \ k}}}+{| \sb {{ \ ij \ ij}} \sp {{ \ ij \ ij}}}+{| \sb {{ \ ik \ ij}} \sp {{ \ ij \ ik}}}+{| \sb {{ \ jk \ ij}} \sp {{ \ ij \ jk}}}+{| \sb {{ \ ijk \ ij}} \sp {{ \ ij \ ijk}}}+{| \sb {{ \ 1 \ ik}} \sp {{ \ ik \ 1}}}+{| \sb {{ \ i \ ik}} \sp {{ \ ik \ i}}}+{| \sb {{ \ j \ ik}} \sp {{ \ ik \ j}}}+{| \sb {{ \ k \ ik}} \sp {{ \ ik \ k}}}+{| \sb {{ \ ij \ ik}} \sp {{ \ ik \ ij}}}+{| \sb {{ \ ik \ ik}} \sp {{ \ ik \ ik}}}+{| \sb {{ \ jk \ ik}} \sp {{ \ ik \ jk}}}+{| \sb {{ \ ijk \ ik}} \sp {{ \ ik \ ijk}}}+{| \sb {{ \ 1 \ jk}} \sp {{ \ jk \ 1}}}+{| \sb {{ \ i \ jk}} \sp {{ \ jk \ i}}}+{| \sb {{ \ j \ jk}} \sp {{ \ jk \ j}}}+{| \sb {{ \ k \ jk}} \sp {{ \ jk \ k}}}+{| \sb {{ \ ij \ jk}} \sp {{ \ jk \ ij}}}+{| \sb {{ \ ik \ jk}} \sp {{ \ jk \ ik}}}+{| \sb {{ \ jk \ jk}} \sp {{ \ jk \ jk}}}+{| \sb {{ \ ijk \ jk}} \sp {{ \ jk \ ijk}}}+{| \sb {{ \ 1 \ ijk}} \sp {{ \ ijk \ 1}}}+{| \sb {{ \ i \ ijk}} \sp {{ \ ijk \ i}}}+{| \sb {{ \ j \ ijk}} \sp {{ \ ijk \ j}}}+{| \sb {{ \ k \ ijk}} \sp {{ \ ijk \ k}}}+{| \sb {{ \ ij \ ijk}} \sp {{ \ ijk \ ij}}}+{| \sb {{ \ ik \ ijk}} \sp {{ \ ijk \ ik}}}+{| \sb {{ \ jk \ ijk}} \sp {{ \ ijk \ jk}}}+{| \sb {{ \ ijk \ ijk}} \sp {{ \ ijk \ ijk}}} \leqno(13) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) V:𝐋:=ev(1) -- evaluation
$$ {| \sp {{ \ 1 \ 1}}}+{| \sp {{ \ i \ i}}}+{| \sp {{ \ j \ j}}}+{| \sp {{ \ k \ k}}}+{| \sp {{ \ ij \ ij}}}+{| \sp {{ \ ik \ ik}}}+{| \sp {{ \ jk \ jk}}}+{| \sp {{ \ ijk \ ijk}}} \leqno(14) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) Λ:𝐋:=co(1) -- co-evaluation
$$ {| \sb {{ \ 1 \ 1}}}+{| \sb {{ \ i \ i}}}+{| \sb {{ \ j \ j}}}+{| \sb {{ \ k \ k}}}+{| \sb {{ \ ij \ ij}}}+{| \sb {{ \ ik \ ik}}}+{| \sb {{ \ jk \ jk}}}+{| \sb {{ \ ijk \ ijk}}} \leqno(15) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) equate(eq)==map((x,y)+->(x=y),ravel lhs eq, ravel rhs eq);
Type: Void (17) -> q0:=sp('i,[2])
$$ i \sp {2} \leqno(17) $$
Type: Symbol q1:=sp('j,[2])
$$ j \sp {2} \leqno(18) $$
Type: Symbol q2:=sp('k,[2])
$$ k \sp {2} \leqno(19) $$
Type: Symbol QQ:=CliffordAlgebra(3,ℚ,matrix [[-q0,0,0],[0,-q1,0],[0,0,-q2]])
$$ CliffordAlgebra(3,Expression(Integer),[[-(*001i(2)),0,0],[0,-(*001j(2)),0],[0,0,-(*001k(2))]]) \leqno(20) $$
Type: Type B:ℒ QQ := [monomial(1,[]),monomial(1,[1]),monomial(1,[2]),monomial(1,[3]),monomial(1,[1,2]),monomial(1,[1,3]),monomial(1,[2,3]),monomial(1,[1,2,3])]
$$ \left[ 1, \: {e \sb {1}}, \: {e \sb {2}}, \: {e \sb {3}}, \: {{e \sb {1}} \ {e \sb {2}}}, \: {{e \sb {1}} \ {e \sb {3}}}, \: {{e \sb {2}} \ {e \sb {3}}}, \: {{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} \right] \leqno(21) $$
Type: List(CliffordAlgebra(3,Expression(Integer),[[-(*001i(2)),0,0],[0,-(*001j(2)),0],[0,0,-(*001k(2))]])) M:Matrix QQ := matrix Ξ(Ξ(B.i*B.j, i,1..dim), j,1..dim)
$$ \left[ \begin{array}{cccccccc} 1 & {e \sb {1}} & {e \sb {2}} & {e \sb {3}} & {{e \sb {1}} \ {e \sb {2}}} & {{e \sb {1}} \ {e \sb {3}}} & {{e \sb {2}} \ {e \sb {3}}} & {{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} \ {e \sb {1}} & -{i \sp {2}} & -{{e \sb {1}} \ {e \sb {2}}} & -{{e \sb {1}} \ {e \sb {3}}} & {{i \sp {2}} \ {e \sb {2}}} & {{i \sp {2}} \ {e \sb {3}}} & {{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} & -{{i \sp {2}} \ {e \sb {2}} \ {e \sb {3}}} \ {e \sb {2}} & {{e \sb {1}} \ {e \sb {2}}} & -{j \sp {2}} & -{{e \sb {2}} \ {e \sb {3}}} & -{{j \sp {2}} \ {e \sb {1}}} & -{{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} & {{j \sp {2}} \ {e \sb {3}}} & {{j \sp {2}} \ {e \sb {1}} \ {e \sb {3}}} \ {e \sb {3}} & {{e \sb {1}} \ {e \sb {3}}} & {{e \sb {2}} \ {e \sb {3}}} & -{k \sp {2}} & {{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} & -{{k \sp {2}} \ {e \sb {1}}} & -{{k \sp {2}} \ {e \sb {2}}} & -{{k \sp {2}} \ {e \sb {1}} \ {e \sb {2}}} \ {{e \sb {1}} \ {e \sb {2}}} & -{{i \sp {2}} \ {e \sb {2}}} & {{j \sp {2}} \ {e \sb {1}}} & {{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} & -{{i \sp {2}} \ {j \sp {2}}} & -{{i \sp {2}} \ {e \sb {2}} \ {e \sb {3}}} & {{j \sp {2}} \ {e \sb {1}} \ {e \sb {3}}} & -{{i \sp {2}} \ {j \sp {2}} \ {e \sb {3}}} \ {{e \sb {1}} \ {e \sb {3}}} & -{{i \sp {2}} \ {e \sb {3}}} & -{{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} & {{k \sp {2}} \ {e \sb {1}}} & {{i \sp {2}} \ {e \sb {2}} \ {e \sb {3}}} & -{{i \sp {2}} \ {k \sp {2}}} & -{{k \sp {2}} \ {e \sb {1}} \ {e \sb {2}}} & {{i \sp {2}} \ {k \sp {2}} \ {e \sb {2}}} \ {{e \sb {2}} \ {e \sb {3}}} & {{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} & -{{j \sp {2}} \ {e \sb {3}}} & {{k \sp {2}} \ {e \sb {2}}} & -{{j \sp {2}} \ {e \sb {1}} \ {e \sb {3}}} & {{k \sp {2}} \ {e \sb {1}} \ {e \sb {2}}} & -{{j \sp {2}} \ {k \sp {2}}} & -{{j \sp {2}} \ {k \sp {2}} \ {e \sb {1}}} \ {{e \sb {1}} \ {e \sb {2}} \ {e \sb {3}}} & -{{i \sp {2}} \ {e \sb {2}} \ {e \sb {3}}} & {{j \sp {2}} \ {e \sb {1}} \ {e \sb {3}}} & -{{k \sp {2}} \ {e \sb {1}} \ {e \sb {2}}} & -{{i \sp {2}} \ {j \sp {2}} \ {e \sb {3}}} & {{i \sp {2}} \ {k \sp {2}} \ {e \sb {2}}} & -{{j \sp {2}} \ {k \sp {2}} \ {e \sb {1}}} & {{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}}} \end{array} \right] \leqno(22) $$
Type: Matrix(CliffordAlgebra(3,Expression(Integer),[[-(*001i(2)),0,0],[0,-(*001j(2)),0],[0,0,-(001k(2))]])) S(y) == map(x +-> coefficient(recip(y)x,[]),M)
Type: Void ѕ :=map(S,B)::ℒ ℒ ℒ ℚ
Compiling function S with type CliffordAlgebra(3,Expression(Integer) ,[[-(*001i(2)),0,0],[0,-(*001j(2)),0],[0,0,-(*001k(2))]]) -> Matrix(Expression(Integer))
$$ \left[ {\left[ {\left[ 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: -{i \sp {2}}, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: -{j \sp {2}}, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: -{k \sp {2}}, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: -{{i \sp {2}} \ {j \sp {2}}}, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: -{{i \sp {2}} \ {k \sp {2}}}, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: -{{j \sp {2}} \ {k \sp {2}}}, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: {{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}}} \right]} \right]}, \: {\left[ {\left[ 0, \: 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: -{j \sp {2}}, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: -{k \sp {2}}, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: {j \sp {2}}, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: {k \sp {2}}, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: -{{j \sp {2}} \ {k \sp {2}}} \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: -{{j \sp {2}} \ {k \sp {2}}}, \: 0 \right]} \right]}, \: {\left[ {\left[ 0, \: 0, \: 1, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: {i \sp {2}}, \: 0, \: 0, \: 0 \right]}, \: {\left[ 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: -{k \sp {2}}, \: 0 \right]}, \: {\left[ 0, \: -{i \sp {2}}, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: {{i \sp {2}} \ {k \sp {2}}} \right]}, \: {\left[ 0, \: 0, \: 0, \: {k \sp {2}}, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: {{i \sp {2}} \ {k \sp {2}}}, \: 0, \: 0 \right]} \right]}, \: {\left[ {\left[ 0, \: 0, \: 0, \: 1, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: {i \sp {2}}, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: {j \sp {2}}, \: 0 \right]}, \: {\left[ 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: -{{i \sp {2}} \ {j \sp {2}}} \right]}, \: {\left[ 0, \: -{i \sp {2}}, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: -{j \sp {2}}, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: -{{i \sp {2}} \ {j \sp {2}}}, \: 0, \: 0, \: 0 \right]} \right]}, \: {\left[ {\left[ 0, \: 0, \: 0, \: 0, \: 1, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: -1, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: -{k \sp {2}} \right]}, \: {\left[ 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: -{k \sp {2}}, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: {k \sp {2}}, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: -{k \sp {2}}, \: 0, \: 0, \: 0, \: 0 \right]} \right]}, \: {\left[ {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 1, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: -1, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: {j \sp {2}} \right]}, \: {\left[ 0, \: 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: {j \sp {2}}, \: 0 \right]}, \: {\left[ 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: -{j \sp {2}}, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: {j \sp {2}}, \: 0, \: 0, \: 0, \: 0, \: 0 \right]} \right]}, \: {\left[ {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 1, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: -{i \sp {2}} \right]}, \: {\left[ 0, \: 0, \: 0, \: -1, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 1, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: -{i \sp {2}}, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: {i \sp {2}}, \: 0, \: 0, \: 0 \right]}, \: {\left[ 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: -{i \sp {2}}, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]} \right]}, \: {\left[ {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 1 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 1, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 0, \: -1, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 0, \: 1, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: 0, \: 1, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 0, \: -1, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 0, \: 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]}, \: {\left[ 1, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0, \: 0 \right]} \right]} \right] \leqno(24) $$
- Type: List(List(List(Expression(Integer))))
- structure constants form a tensor operator Y := Σ(Σ(Σ(ѕ(i)(k)(j)*𝐞.i*𝐝.j*𝐝.k, i,1..dim), j,1..dim), k,1..dim)
$$ {| \sb {{ \ 1}} \sp {{ \ 1 \ 1}}}+{| \sb {{ \ i}} \sp {{ \ 1 \ i}}}+{| \sb {{ \ j}} \sp {{ \ 1 \ j}}}+{| \sb {{ \ k}} \sp {{ \ 1 \ k}}}+{| \sb {{ \ ij}} \sp {{ \ 1 \ ij}}}+{| \sb {{ \ ik}} \sp {{ \ 1 \ ik}}}+{| \sb {{ \ jk}} \sp {{ \ 1 \ jk}}}+{| \sb {{ \ ijk}} \sp {{ \ 1 \ ijk}}}+{| \sb {{ \ i}} \sp {{ \ i \ 1}}} -{{i \sp {2}} \ {| \sb {{ \ 1}} \sp {{ \ i \ i}}}}+{| \sb {{ \ ij}} \sp {{ \ i \ j}}}+{| \sb {{ \ ik}} \sp {{ \ i \ k}}} -{{i \sp {2}} \ {| \sb {{ \ j}} \sp {{ \ i \ ij}}}} -{{i \sp {2}} \ {| \sb {{ \ k}} \sp {{ \ i \ ik}}}}+{| \sb {{ \ ijk}} \sp {{ \ i \ jk}}} -{{i \sp {2}} \ {| \sb {{ \ jk}} \sp {{ \ i \ ijk}}}}+{| \sb {{ \ j}} \sp {{ \ j \ 1}}} -{| \sb {{ \ ij}} \sp {{ \ j \ i}}} -{{j \sp {2}} \ {| \sb {{ \ 1}} \sp {{ \ j \ j}}}}+{| \sb {{ \ jk}} \sp {{ \ j \ k}}}+{{j \sp {2}} \ {| \sb {{ \ i}} \sp {{ \ j \ ij}}}} -{| \sb {{ \ ijk}} \sp {{ \ j \ ik}}} -{{j \sp {2}} \ {| \sb {{ \ k}} \sp {{ \ j \ jk}}}}+{{j \sp {2}} \ {| \sb {{ \ ik}} \sp {{ \ j \ ijk}}}}+{| \sb {{ \ k}} \sp {{ \ k \ 1}}} -{| \sb {{ \ ik}} \sp {{ \ k \ i}}} -{| \sb {{ \ jk}} \sp {{ \ k \ j}}} -{{k \sp {2}} \ {| \sb {{ \ 1}} \sp {{ \ k \ k}}}}+{| \sb {{ \ ijk}} \sp {{ \ k \ ij}}}+{{k \sp {2}} \ {| \sb {{ \ i}} \sp {{ \ k \ ik}}}}+{{k \sp {2}} \ {| \sb {{ \ j}} \sp {{ \ k \ jk}}}} -{{k \sp {2}} \ {| \sb {{ \ ij}} \sp {{ \ k \ ijk}}}}+{| \sb {{ \ ij}} \sp {{ \ ij \ 1}}}+{{i \sp {2}} \ {| \sb {{ \ j}} \sp {{ \ ij \ i}}}} -{{j \sp {2}} \ {| \sb {{ \ i}} \sp {{ \ ij \ j}}}}+{| \sb {{ \ ijk}} \sp {{ \ ij \ k}}} -{{i \sp {2}} \ {j \sp {2}} \ {| \sb {{ \ 1}} \sp {{ \ ij \ ij}}}}+{{i \sp {2}} \ {| \sb {{ \ jk}} \sp {{ \ ij \ ik}}}} -{{j \sp {2}} \ {| \sb {{ \ ik}} \sp {{ \ ij \ jk}}}} -{{i \sp {2}} \ {j \sp {2}} \ {| \sb {{ \ k}} \sp {{ \ ij \ ijk}}}}+{| \sb {{ \ ik}} \sp {{ \ ik \ 1}}}+{{i \sp {2}} \ {| \sb {{ \ k}} \sp {{ \ ik \ i}}}} -{| \sb {{ \ ijk}} \sp {{ \ ik \ j}}} -{{k \sp {2}} \ {| \sb {{ \ i}} \sp {{ \ ik \ k}}}} -{{i \sp {2}} \ {| \sb {{ \ jk}} \sp {{ \ ik \ ij}}}} -{{i \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ 1}} \sp {{ \ ik \ ik}}}}+{{k \sp {2}} \ {| \sb {{ \ ij}} \sp {{ \ ik \ jk}}}}+{{i \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ j}} \sp {{ \ ik \ ijk}}}}+{| \sb {{ \ jk}} \sp {{ \ jk \ 1}}}+{| \sb {{ \ ijk}} \sp {{ \ jk \ i}}}+{{j \sp {2}} \ {| \sb {{ \ k}} \sp {{ \ jk \ j}}}} -{{k \sp {2}} \ {| \sb {{ \ j}} \sp {{ \ jk \ k}}}}+{{j \sp {2}} \ {| \sb {{ \ ik}} \sp {{ \ jk \ ij}}}} -{{k \sp {2}} \ {| \sb {{ \ ij}} \sp {{ \ jk \ ik}}}} -{{j \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ 1}} \sp {{ \ jk \ jk}}}} -{{j \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ i}} \sp {{ \ jk \ ijk}}}}+{| \sb {{ \ ijk}} \sp {{ \ ijk \ 1}}} -{{i \sp {2}} \ {| \sb {{ \ jk}} \sp {{ \ ijk \ i}}}}+{{j \sp {2}} \ {| \sb {{ \ ik}} \sp {{ \ ijk \ j}}}} -{{k \sp {2}} \ {| \sb {{ \ ij}} \sp {{ \ ijk \ k}}}} -{{i \sp {2}} \ {j \sp {2}} \ {| \sb {{ \ k}} \sp {{ \ ijk \ ij}}}}+{{i \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ j}} \sp {{ \ ijk \ ik}}}} -{{j \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ i}} \sp {{ \ ijk \ jk}}}}+{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ 1}} \sp {{ \ ijk \ ijk}}}} \leqno(25) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) arity Y
$$ {+ \sp 2} \over + \leqno(26) $$
Type: ClosedProp(ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))) matrix Ξ(Ξ((𝐞.i*𝐞.j)/Y, i,1..dim), j,1..dim)
$$ \left[ \begin{array}{cccccccc} {| \sb {{ \ 1}}} & {| \sb {{ \ i}}} & {| \sb {{ \ j}}} & {| \sb {{ \ k}}} & {| \sb {{ \ ij}}} & {| \sb {{ \ ik}}} & {| \sb {{ \ jk}}} & {| \sb {{ \ ijk}}} \ {| \sb {{ \ i}}} & -{{i \sp {2}} \ {| \sb {{ \ 1}}}} & -{| \sb {{ \ ij}}} & -{| \sb {{ \ ik}}} & {{i \sp {2}} \ {| \sb {{ \ j}}}} & {{i \sp {2}} \ {| \sb {{ \ k}}}} & {| \sb {{ \ ijk}}} & -{{i \sp {2}} \ {| \sb {{ \ jk}}}} \ {| \sb {{ \ j}}} & {| \sb {{ \ ij}}} & -{{j \sp {2}} \ {| \sb {{ \ 1}}}} & -{| \sb {{ \ jk}}} & -{{j \sp {2}} \ {| \sb {{ \ i}}}} & -{| \sb {{ \ ijk}}} & {{j \sp {2}} \ {| \sb {{ \ k}}}} & {{j \sp {2}} \ {| \sb {{ \ ik}}}} \ {| \sb {{ \ k}}} & {| \sb {{ \ ik}}} & {| \sb {{ \ jk}}} & -{{k \sp {2}} \ {| \sb {{ \ 1}}}} & {| \sb {{ \ ijk}}} & -{{k \sp {2}} \ {| \sb {{ \ i}}}} & -{{k \sp {2}} \ {| \sb {{ \ j}}}} & -{{k \sp {2}} \ {| \sb {{ \ ij}}}} \ {| \sb {{ \ ij}}} & -{{i \sp {2}} \ {| \sb {{ \ j}}}} & {{j \sp {2}} \ {| \sb {{ \ i}}}} & {| \sb {{ \ ijk}}} & -{{i \sp {2}} \ {j \sp {2}} \ {| \sb {{ \ 1}}}} & -{{i \sp {2}} \ {| \sb {{ \ jk}}}} & {{j \sp {2}} \ {| \sb {{ \ ik}}}} & -{{i \sp {2}} \ {j \sp {2}} \ {| \sb {{ \ k}}}} \ {| \sb {{ \ ik}}} & -{{i \sp {2}} \ {| \sb {{ \ k}}}} & -{| \sb {{ \ ijk}}} & {{k \sp {2}} \ {| \sb {{ \ i}}}} & {{i \sp {2}} \ {| \sb {{ \ jk}}}} & -{{i \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ 1}}}} & -{{k \sp {2}} \ {| \sb {{ \ ij}}}} & {{i \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ j}}}} \ {| \sb {{ \ jk}}} & {| \sb {{ \ ijk}}} & -{{j \sp {2}} \ {| \sb {{ \ k}}}} & {{k \sp {2}} \ {| \sb {{ \ j}}}} & -{{j \sp {2}} \ {| \sb {{ \ ik}}}} & {{k \sp {2}} \ {| \sb {{ \ ij}}}} & -{{j \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ 1}}}} & -{{j \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ i}}}} \ {| \sb {{ \ ijk}}} & -{{i \sp {2}} \ {| \sb {{ \ jk}}}} & {{j \sp {2}} \ {| \sb {{ \ ik}}}} & -{{k \sp {2}} \ {| \sb {{ \ ij}}}} & -{{i \sp {2}} \ {j \sp {2}} \ {| \sb {{ \ k}}}} & {{i \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ j}}}} & -{{j \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ i}}}} & {{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {| \sb {{ \ 1}}}} \end{array} \right] \leqno(27) $$
Type: Matrix(ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))) (28) -> a:=Σ(sb('a,[i])*𝐞.i, i,1..dim)
$$ {{a \sb {1}} \ {| \sb {{ \ 1}}}}+{{a \sb {2}} \ {| \sb {{ \ i}}}}+{{a \sb {3}} \ {| \sb {{ \ j}}}}+{{a \sb {4}} \ {| \sb {{ \ k}}}}+{{a \sb {5}} \ {| \sb {{ \ ij}}}}+{{a \sb {6}} \ {| \sb {{ \ ik}}}}+{{a \sb {7}} \ {| \sb {{ \ jk}}}}+{{a \sb {8}} \ {| \sb {{ \ ijk}}}} \leqno(28) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) b:=Σ(sb('b,[i])*𝐞.i, i,1..dim)
$$ {{b \sb {1}} \ {| \sb {{ \ 1}}}}+{{b \sb {2}} \ {| \sb {{ \ i}}}}+{{b \sb {3}} \ {| \sb {{ \ j}}}}+{{b \sb {4}} \ {| \sb {{ \ k}}}}+{{b \sb {5}} \ {| \sb {{ \ ij}}}}+{{b \sb {6}} \ {| \sb {{ \ ik}}}}+{{b \sb {7}} \ {| \sb {{ \ jk}}}}+{{b \sb {8}} \ {| \sb {{ \ ijk}}}} \leqno(29) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) (a*b)/Y
$$ {{\left( {{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {a \sb {8}} \ {b \sb {8}}} -{{j \sp {2}} \ {k \sp {2}} \ {a \sb {7}} \ {b \sb {7}}} -{{i \sp {2}} \ {k \sp {2}} \ {a \sb {6}} \ {b \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {a \sb {5}} \ {b \sb {5}}} -{{k \sp {2}} \ {a \sb {4}} \ {b \sb {4}}} -{{j \sp {2}} \ {a \sb {3}} \ {b \sb {3}}} -{{i \sp {2}} \ {a \sb {2}} \ {b \sb {2}}}+{{a \sb {1}} \ {b \sb {1}}} \right)} \ {| \sb {{ \ 1}}}}+{{\left( -{{j \sp {2}} \ {k \sp {2}} \ {a \sb {7}} \ {b \sb {8}}} -{{j \sp {2}} \ {k \sp {2}} \ {a \sb {8}} \ {b \sb {7}}}+{{k \sp {2}} \ {a \sb {4}} \ {b \sb {6}}}+{{j \sp {2}} \ {a \sb {3}} \ {b \sb {5}}} -{{k \sp {2}} \ {a \sb {6}} \ {b \sb {4}}} -{{j \sp {2}} \ {a \sb {5}} \ {b \sb {3}}}+{{a \sb {1}} \ {b \sb {2}}}+{{a \sb {2}} \ {b \sb {1}}} \right)} \ {| \sb {{ \ i}}}}+{{\left( {{i \sp {2}} \ {k \sp {2}} \ {a \sb {6}} \ {b \sb {8}}}+{{k \sp {2}} \ {a \sb {4}} \ {b \sb {7}}}+{{i \sp {2}} \ {k \sp {2}} \ {a \sb {8}} \ {b \sb {6}}} -{{i \sp {2}} \ {a \sb {2}} \ {b \sb {5}}} -{{k \sp {2}} \ {a \sb {7}} \ {b \sb {4}}}+{{a \sb {1}} \ {b \sb {3}}}+{{i \sp {2}} \ {a \sb {5}} \ {b \sb {2}}}+{{a \sb {3}} \ {b \sb {1}}} \right)} \ {| \sb {{ \ j}}}}+{{\left( -{{i \sp {2}} \ {j \sp {2}} \ {a \sb {5}} \ {b \sb {8}}} -{{j \sp {2}} \ {a \sb {3}} \ {b \sb {7}}} -{{i \sp {2}} \ {a \sb {2}} \ {b \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {a \sb {8}} \ {b \sb {5}}}+{{a \sb {1}} \ {b \sb {4}}}+{{j \sp {2}} \ {a \sb {7}} \ {b \sb {3}}}+{{i \sp {2}} \ {a \sb {6}} \ {b \sb {2}}}+{{a \sb {4}} \ {b \sb {1}}} \right)} \ {| \sb {{ \ k}}}}+{{\left( -{{k \sp {2}} \ {a \sb {4}} \ {b \sb {8}}}+{{k \sp {2}} \ {a \sb {6}} \ {b \sb {7}}} -{{k \sp {2}} \ {a \sb {7}} \ {b \sb {6}}}+{{a \sb {1}} \ {b \sb {5}}} -{{k \sp {2}} \ {a \sb {8}} \ {b \sb {4}}}+{{a \sb {2}} \ {b \sb {3}}} -{{a \sb {3}} \ {b \sb {2}}}+{{a \sb {5}} \ {b \sb {1}}} \right)} \ {| \sb {{ \ ij}}}}+{{\left( {{j \sp {2}} \ {a \sb {3}} \ {b \sb {8}}} -{{j \sp {2}} \ {a \sb {5}} \ {b \sb {7}}}+{{a \sb {1}} \ {b \sb {6}}}+{{j \sp {2}} \ {a \sb {7}} \ {b \sb {5}}}+{{a \sb {2}} \ {b \sb {4}}}+{{j \sp {2}} \ {a \sb {8}} \ {b \sb {3}}} -{{a \sb {4}} \ {b \sb {2}}}+{{a \sb {6}} \ {b \sb {1}}} \right)} \ {| \sb {{ \ ik}}}}+{{\left( -{{i \sp {2}} \ {a \sb {2}} \ {b \sb {8}}}+{{a \sb {1}} \ {b \sb {7}}}+{{i \sp {2}} \ {a \sb {5}} \ {b \sb {6}}} -{{i \sp {2}} \ {a \sb {6}} \ {b \sb {5}}}+{{a \sb {3}} \ {b \sb {4}}} -{{a \sb {4}} \ {b \sb {3}}} -{{i \sp {2}} \ {a \sb {8}} \ {b \sb {2}}}+{{a \sb {7}} \ {b \sb {1}}} \right)} \ {| \sb {{ \ jk}}}}+{{\left( {{a \sb {1}} \ {b \sb {8}}}+{{a \sb {2}} \ {b \sb {7}}} -{{a \sb {3}} \ {b \sb {6}}}+{{a \sb {4}} \ {b \sb {5}}}+{{a \sb {5}} \ {b \sb {4}}} -{{a \sb {6}} \ {b \sb {3}}}+{{a \sb {7}} \ {b \sb {2}}}+{{a \sb {8}} \ {b \sb {1}}} \right)} \ {| \sb {{ \ ijk}}}} \leqno(30) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) (31) -> test( ( I Y ) / ( Y ) = ( Y I ) / _ ( Y ) )
$$ true \leqno(31) $$
Type: Boolean (32) -> U:=Σ(Σ(script('u,[[],[i,j]])*𝐝.i*𝐝.j, i,1..dim), j,1..dim)
$$ {{u \sp {{1, \: 1}}} \ {| \sp {{ \ 1 \ 1}}}}+{{u \sp {{1, \: 2}}} \ {| \sp {{ \ 1 \ i}}}}+{{u \sp {{1, \: 3}}} \ {| \sp {{ \ 1 \ j}}}}+{{u \sp {{1, \: 4}}} \ {| \sp {{ \ 1 \ k}}}}+{{u \sp {{1, \: 5}}} \ {| \sp {{ \ 1 \ ij}}}}+{{u \sp {{1, \: 6}}} \ {| \sp {{ \ 1 \ ik}}}}+{{u \sp {{1, \: 7}}} \ {| \sp {{ \ 1 \ jk}}}}+{{u \sp {{1, \: 8}}} \ {| \sp {{ \ 1 \ ijk}}}}+{{u \sp {{2, \: 1}}} \ {| \sp {{ \ i \ 1}}}}+{{u \sp {{2, \: 2}}} \ {| \sp {{ \ i \ i}}}}+{{u \sp {{2, \: 3}}} \ {| \sp {{ \ i \ j}}}}+{{u \sp {{2, \: 4}}} \ {| \sp {{ \ i \ k}}}}+{{u \sp {{2, \: 5}}} \ {| \sp {{ \ i \ ij}}}}+{{u \sp {{2, \: 6}}} \ {| \sp {{ \ i \ ik}}}}+{{u \sp {{2, \: 7}}} \ {| \sp {{ \ i \ jk}}}}+{{u \sp {{2, \: 8}}} \ {| \sp {{ \ i \ ijk}}}}+{{u \sp {{3, \: 1}}} \ {| \sp {{ \ j \ 1}}}}+{{u \sp {{3, \: 2}}} \ {| \sp {{ \ j \ i}}}}+{{u \sp {{3, \: 3}}} \ {| \sp {{ \ j \ j}}}}+{{u \sp {{3, \: 4}}} \ {| \sp {{ \ j \ k}}}}+{{u \sp {{3, \: 5}}} \ {| \sp {{ \ j \ ij}}}}+{{u \sp {{3, \: 6}}} \ {| \sp {{ \ j \ ik}}}}+{{u \sp {{3, \: 7}}} \ {| \sp {{ \ j \ jk}}}}+{{u \sp {{3, \: 8}}} \ {| \sp {{ \ j \ ijk}}}}+{{u \sp {{4, \: 1}}} \ {| \sp {{ \ k \ 1}}}}+{{u \sp {{4, \: 2}}} \ {| \sp {{ \ k \ i}}}}+{{u \sp {{4, \: 3}}} \ {| \sp {{ \ k \ j}}}}+{{u \sp {{4, \: 4}}} \ {| \sp {{ \ k \ k}}}}+{{u \sp {{4, \: 5}}} \ {| \sp {{ \ k \ ij}}}}+{{u \sp {{4, \: 6}}} \ {| \sp {{ \ k \ ik}}}}+{{u \sp {{4, \: 7}}} \ {| \sp {{ \ k \ jk}}}}+{{u \sp {{4, \: 8}}} \ {| \sp {{ \ k \ ijk}}}}+{{u \sp {{5, \: 1}}} \ {| \sp {{ \ ij \ 1}}}}+{{u \sp {{5, \: 2}}} \ {| \sp {{ \ ij \ i}}}}+{{u \sp {{5, \: 3}}} \ {| \sp {{ \ ij \ j}}}}+{{u \sp {{5, \: 4}}} \ {| \sp {{ \ ij \ k}}}}+{{u \sp {{5, \: 5}}} \ {| \sp {{ \ ij \ ij}}}}+{{u \sp {{5, \: 6}}} \ {| \sp {{ \ ij \ ik}}}}+{{u \sp {{5, \: 7}}} \ {| \sp {{ \ ij \ jk}}}}+{{u \sp {{5, \: 8}}} \ {| \sp {{ \ ij \ ijk}}}}+{{u \sp {{6, \: 1}}} \ {| \sp {{ \ ik \ 1}}}}+{{u \sp {{6, \: 2}}} \ {| \sp {{ \ ik \ i}}}}+{{u \sp {{6, \: 3}}} \ {| \sp {{ \ ik \ j}}}}+{{u \sp {{6, \: 4}}} \ {| \sp {{ \ ik \ k}}}}+{{u \sp {{6, \: 5}}} \ {| \sp {{ \ ik \ ij}}}}+{{u \sp {{6, \: 6}}} \ {| \sp {{ \ ik \ ik}}}}+{{u \sp {{6, \: 7}}} \ {| \sp {{ \ ik \ jk}}}}+{{u \sp {{6, \: 8}}} \ {| \sp {{ \ ik \ ijk}}}}+{{u \sp {{7, \: 1}}} \ {| \sp {{ \ jk \ 1}}}}+{{u \sp {{7, \: 2}}} \ {| \sp {{ \ jk \ i}}}}+{{u \sp {{7, \: 3}}} \ {| \sp {{ \ jk \ j}}}}+{{u \sp {{7, \: 4}}} \ {| \sp {{ \ jk \ k}}}}+{{u \sp {{7, \: 5}}} \ {| \sp {{ \ jk \ ij}}}}+{{u \sp {{7, \: 6}}} \ {| \sp {{ \ jk \ ik}}}}+{{u \sp {{7, \: 7}}} \ {| \sp {{ \ jk \ jk}}}}+{{u \sp {{7, \: 8}}} \ {| \sp {{ \ jk \ ijk}}}}+{{u \sp {{8, \: 1}}} \ {| \sp {{ \ ijk \ 1}}}}+{{u \sp {{8, \: 2}}} \ {| \sp {{ \ ijk \ i}}}}+{{u \sp {{8, \: 3}}} \ {| \sp {{ \ ijk \ j}}}}+{{u \sp {{8, \: 4}}} \ {| \sp {{ \ ijk \ k}}}}+{{u \sp {{8, \: 5}}} \ {| \sp {{ \ ijk \ ij}}}}+{{u \sp {{8, \: 6}}} \ {| \sp {{ \ ijk \ ik}}}}+{{u \sp {{8, \: 7}}} \ {| \sp {{ \ ijk \ jk}}}}+{{u \sp {{8, \: 8}}} \ {| \sp {{ \ ijk \ ijk}}}} \leqno(32) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) (33) -> ω:𝐋 := ( Y I ) / U - ( I Y ) / U;
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) (34) -> Ú:= ( Y Λ ) / ( Y I ) / V
$$ {8 \ {| \sp {{ \ 1 \ 1}}}} -{8 \ {i \sp {2}} \ {| \sp {{ \ i \ i}}}} -{8 \ {j \sp {2}} \ {| \sp {{ \ j \ j}}}} -{8 \ {k \sp {2}} \ {| \sp {{ \ k \ k}}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {| \sp {{ \ ij \ ij}}}} -{8 \ {i \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ ik \ ik}}}} -{8 \ {j \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ jk \ jk}}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ ijk \ ijk}}}} \leqno(34) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) Ù:= ( Λ Y ) / ( I Y ) / V
$$ {8 \ {| \sp {{ \ 1 \ 1}}}} -{8 \ {i \sp {2}} \ {| \sp {{ \ i \ i}}}} -{8 \ {j \sp {2}} \ {| \sp {{ \ j \ j}}}} -{8 \ {k \sp {2}} \ {| \sp {{ \ k \ k}}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {| \sp {{ \ ij \ ij}}}} -{8 \ {i \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ ik \ ik}}}} -{8 \ {j \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ jk \ jk}}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ ijk \ ijk}}}} \leqno(35) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))
test(Ù=Ú)
$$ true \leqno(36) $$
Type: Boolean (37) -> Ũ := Ù
$$ {8 \ {| \sp {{ \ 1 \ 1}}}} -{8 \ {i \sp {2}} \ {| \sp {{ \ i \ i}}}} -{8 \ {j \sp {2}} \ {| \sp {{ \ j \ j}}}} -{8 \ {k \sp {2}} \ {| \sp {{ \ k \ k}}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {| \sp {{ \ ij \ ij}}}} -{8 \ {i \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ ik \ ik}}}} -{8 \ {j \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ jk \ jk}}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {| \sp {{ \ ijk \ ijk}}}} \leqno(37) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) test ( Y I ) / Ũ = ( I Y ) / Ũ
$$ true \leqno(38) $$
Type: Boolean determinant Ξ(Ξ(retract((𝐞.i * 𝐞.j)/Ũ), j,1..dim), i,1..dim)
$$ {16777216} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4} \leqno(39) $$
Type: Expression(Integer) (40) -> )expose MCALCFN
MultiVariableCalculusFunctions is now explicitly exposed in frame initial J := jacobian(ravel ω,concat map(variables,ravel U)::ℒ Symbol);
Type: Matrix(Expression(Integer)) nrows(J),ncols(J)
$$ \left[ {512}, \: {64} \right] \leqno(41) $$
Type: Tuple(PositiveInteger) (42) -> Ñ:=nullSpace(J);
Type: List(Vector(Expression(Integer))) ℰ:=map((x,y)+->x=y, concat map(variables,ravel U), entries Σ(sb('p,[i])*Ñ.i, i,1..#Ñ) );
Type: List(Equation(Expression(Integer))) (44) -> zero? eval(ω,ℰ)
$$ true \leqno(44) $$
Type: Boolean (45) -> Ų:𝐋 := eval(U,ℰ)
$$ {{{p \sb {8}} \over {{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}}}} \ {| \sp {{ \ 1 \ 1}}}} -{{{p \sb {7}} \over {{j \sp {2}} \ {k \sp {2}}}} \ {| \sp {{ \ 1 \ i}}}}+{{{p \sb {6}} \over {{i \sp {2}} \ {k \sp {2}}}} \ {| \sp {{ \ 1 \ j}}}} -{{{p \sb {5}} \over {{i \sp {2}} \ {j \sp {2}}}} \ {| \sp {{ \ 1 \ k}}}} -{{{p \sb {4}} \over {k \sp {2}}} \ {| \sp {{ \ 1 \ ij}}}}+{{{p \sb {3}} \over {j \sp {2}}} \ {| \sp {{ \ 1 \ ik}}}} -{{{p \sb {2}} \over {i \sp {2}}} \ {| \sp {{ \ 1 \ jk}}}}+{{p \sb {1}} \ {| \sp {{ \ 1 \ ijk}}}} -{{{p \sb {7}} \over {{j \sp {2}} \ {k \sp {2}}}} \ {| \sp {{ \ i \ 1}}}} -{{{p \sb {8}} \over {{j \sp {2}} \ {k \sp {2}}}} \ {| \sp {{ \ i \ i}}}} -{{{p \sb {4}} \over {k \sp {2}}} \ {| \sp {{ \ i \ j}}}}+{{{p \sb {3}} \over {j \sp {2}}} \ {| \sp {{ \ i \ k}}}} -{{{p \sb {6}} \over {k \sp {2}}} \ {| \sp {{ \ i \ ij}}}}+{{{p \sb {5}} \over {j \sp {2}}} \ {| \sp {{ \ i \ ik}}}}+{{p \sb {1}} \ {| \sp {{ \ i \ jk}}}}+{{p \sb {2}} \ {| \sp {{ \ i \ ijk}}}}+{{{p \sb {6}} \over {{i \sp {2}} \ {k \sp {2}}}} \ {| \sp {{ \ j \ 1}}}}+{{{p \sb {4}} \over {k \sp {2}}} \ {| \sp {{ \ j \ i}}}} -{{{p \sb {8}} \over {{i \sp {2}} \ {k \sp {2}}}} \ {| \sp {{ \ j \ j}}}} -{{{p \sb {2}} \over {i \sp {2}}} \ {| \sp {{ \ j \ k}}}} -{{{p \sb {7}} \over {k \sp {2}}} \ {| \sp {{ \ j \ ij}}}} -{{p \sb {1}} \ {| \sp {{ \ j \ ik}}}}+{{{p \sb {5}} \over {i \sp {2}}} \ {| \sp {{ \ j \ jk}}}}+{{p \sb {3}} \ {| \sp {{ \ j \ ijk}}}} -{{{p \sb {5}} \over {{i \sp {2}} \ {j \sp {2}}}} \ {| \sp {{ \ k \ 1}}}} -{{{p \sb {3}} \over {j \sp {2}}} \ {| \sp {{ \ k \ i}}}}+{{{p \sb {2}} \over {i \sp {2}}} \ {| \sp {{ \ k \ j}}}} -{{{p \sb {8}} \over {{i \sp {2}} \ {j \sp {2}}}} \ {| \sp {{ \ k \ k}}}}+{{p \sb {1}} \ {| \sp {{ \ k \ ij}}}} -{{{p \sb {7}} \over {j \sp {2}}} \ {| \sp {{ \ k \ ik}}}}+{{{p \sb {6}} \over {i \sp {2}}} \ {| \sp {{ \ k \ jk}}}}+{{p \sb {4}} \ {| \sp {{ \ k \ ijk}}}} -{{{p \sb {4}} \over {k \sp {2}}} \ {| \sp {{ \ ij \ 1}}}}+{{{p \sb {6}} \over {k \sp {2}}} \ {| \sp {{ \ ij \ i}}}}+{{{p \sb {7}} \over {k \sp {2}}} \ {| \sp {{ \ ij \ j}}}}+{{p \sb {1}} \ {| \sp {{ \ ij \ k}}}} -{{{p \sb {8}} \over {k \sp {2}}} \ {| \sp {{ \ ij \ ij}}}} -{{p \sb {2}} \ {| \sp {{ \ ij \ ik}}}} -{{p \sb {3}} \ {| \sp {{ \ ij \ jk}}}}+{{p \sb {5}} \ {| \sp {{ \ ij \ ijk}}}}+{{{p \sb {3}} \over {j \sp {2}}} \ {| \sp {{ \ ik \ 1}}}} -{{{p \sb {5}} \over {j \sp {2}}} \ {| \sp {{ \ ik \ i}}}} -{{p \sb {1}} \ {| \sp {{ \ ik \ j}}}}+{{{p \sb {7}} \over {j \sp {2}}} \ {| \sp {{ \ ik \ k}}}}+{{p \sb {2}} \ {| \sp {{ \ ik \ ij}}}} -{{{p \sb {8}} \over {j \sp {2}}} \ {| \sp {{ \ ik \ ik}}}} -{{p \sb {4}} \ {| \sp {{ \ ik \ jk}}}}+{{p \sb {6}} \ {| \sp {{ \ ik \ ijk}}}} -{{{p \sb {2}} \over {i \sp {2}}} \ {| \sp {{ \ jk \ 1}}}}+{{p \sb {1}} \ {| \sp {{ \ jk \ i}}}} -{{{p \sb {5}} \over {i \sp {2}}} \ {| \sp {{ \ jk \ j}}}} -{{{p \sb {6}} \over {i \sp {2}}} \ {| \sp {{ \ jk \ k}}}}+{{p \sb {3}} \ {| \sp {{ \ jk \ ij}}}}+{{p \sb {4}} \ {| \sp {{ \ jk \ ik}}}} -{{{p \sb {8}} \over {i \sp {2}}} \ {| \sp {{ \ jk \ jk}}}}+{{p \sb {7}} \ {| \sp {{ \ jk \ ijk}}}}+{{p \sb {1}} \ {| \sp {{ \ ijk \ 1}}}}+{{p \sb {2}} \ {| \sp {{ \ ijk \ i}}}}+{{p \sb {3}} \ {| \sp {{ \ ijk \ j}}}}+{{p \sb {4}} \ {| \sp {{ \ ijk \ k}}}}+{{p \sb {5}} \ {| \sp {{ \ ijk \ ij}}}}+{{p \sb {6}} \ {| \sp {{ \ ijk \ ik}}}}+{{p \sb {7}} \ {| \sp {{ \ ijk \ jk}}}}+{{p \sb {8}} \ {| \sp {{ \ ijk \ ijk}}}} \leqno(45) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) matrix Ξ(Ξ((𝐞.i 𝐞.j)/Ų, i,1..dim), j,1..dim)
$$ \left[ \begin{array}{cccccccc} {{p \sb {8}} \over {{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}}}} & -{{p \sb {7}} \over {{j \sp {2}} \ {k \sp {2}}}} & {{p \sb {6}} \over {{i \sp {2}} \ {k \sp {2}}}} & -{{p \sb {5}} \over {{i \sp {2}} \ {j \sp {2}}}} & -{{p \sb {4}} \over {k \sp {2}}} & {{p \sb {3}} \over {j \sp {2}}} & -{{p \sb {2}} \over {i \sp {2}}} & {p \sb {1}} \ -{{p \sb {7}} \over {{j \sp {2}} \ {k \sp {2}}}} & -{{p \sb {8}} \over {{j \sp {2}} \ {k \sp {2}}}} & {{p \sb {4}} \over {k \sp {2}}} & -{{p \sb {3}} \over {j \sp {2}}} & {{p \sb {6}} \over {k \sp {2}}} & -{{p \sb {5}} \over {j \sp {2}}} & {p \sb {1}} & {p \sb {2}} \ {{p \sb {6}} \over {{i \sp {2}} \ {k \sp {2}}}} & -{{p \sb {4}} \over {k \sp {2}}} & -{{p \sb {8}} \over {{i \sp {2}} \ {k \sp {2}}}} & {{p \sb {2}} \over {i \sp {2}}} & {{p \sb {7}} \over {k \sp {2}}} & -{p \sb {1}} & -{{p \sb {5}} \over {i \sp {2}}} & {p \sb {3}} \ -{{p \sb {5}} \over {{i \sp {2}} \ {j \sp {2}}}} & {{p \sb {3}} \over {j \sp {2}}} & -{{p \sb {2}} \over {i \sp {2}}} & -{{p \sb {8}} \over {{i \sp {2}} \ {j \sp {2}}}} & {p \sb {1}} & {{p \sb {7}} \over {j \sp {2}}} & -{{p \sb {6}} \over {i \sp {2}}} & {p \sb {4}} \ -{{p \sb {4}} \over {k \sp {2}}} & -{{p \sb {6}} \over {k \sp {2}}} & -{{p \sb {7}} \over {k \sp {2}}} & {p \sb {1}} & -{{p \sb {8}} \over {k \sp {2}}} & {p \sb {2}} & {p \sb {3}} & {p \sb {5}} \ {{p \sb {3}} \over {j \sp {2}}} & {{p \sb {5}} \over {j \sp {2}}} & -{p \sb {1}} & -{{p \sb {7}} \over {j \sp {2}}} & -{p \sb {2}} & -{{p \sb {8}} \over {j \sp {2}}} & {p \sb {4}} & {p \sb {6}} \ -{{p \sb {2}} \over {i \sp {2}}} & {p \sb {1}} & {{p \sb {5}} \over {i \sp {2}}} & {{p \sb {6}} \over {i \sp {2}}} & -{p \sb {3}} & -{p \sb {4}} & -{{p \sb {8}} \over {i \sp {2}}} & {p \sb {7}} \ {p \sb {1}} & {p \sb {2}} & {p \sb {3}} & {p \sb {4}} & {p \sb {5}} & {p \sb {6}} & {p \sb {7}} & {p \sb {8}} \end{array} \right] \leqno(46) $$
Type: Matrix(ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))) (47) -> ck:=solve(equate(Ũ=Ų),Ξ(sb('p,[i]), i,1..#Ñ)).1
Compiling function equate with type Equation(ClosedLinearOperator( OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))) -> List(Equation(Expression(Integer)))
$$ \left[ {{p \sb {1}}=0}, \: {{p \sb {2}}=0}, \: {{p \sb {3}}=0}, \: {{p \sb {4}}=0}, \: {{p \sb {5}}=0}, \: {{p \sb {6}}=0}, \: {{p \sb {7}}=0}, \: {{p \sb {8}}={8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}}}} \right] \leqno(47) $$
Type: List(Equation(Expression(Integer))) (48) -> Ů:=determinant Ξ(Ξ(retract((𝐞.i * 𝐞.j)/Ų), j,1..dim), i,1..dim)
$$ {{{p \sb {8}} \sp 8}+{{\left( {4 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{4 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{4 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{4 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{4 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{4 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{4 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 6}}+{{\left( {{16} \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{{16} \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{{16} \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {{p \sb {8}} \sp 5}}+{{\left( {6 \ {{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {{12} \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{{12} \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{4 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {{16} \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{{16} \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{6 \ {{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {{12} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}}+{4 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{12} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{{16} \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{6 \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( {4 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{12} \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{12} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {{12} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {{12} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{6 \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {8}} \sp 4}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {7}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}}+{{32} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 3}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3} \ {p \sb {2}}} \right)} \ {p \sb {7}}} -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {6}} \sp 3}}+{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}}+{{\left( -{{32} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 3}}+{{\left( -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {6}}}+{{32} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {{p \sb {8}} \sp 3}}+{{\left( {4 \ {{i \sp {2}} \sp 3} \ {{p \sb {7}} \sp 6}}+{{\left( {{12} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 4}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {{p \sb {7}} \sp 3}}+{{\left( {{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {{24} \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{24} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{8 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{12} \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{24} \ {{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {{24} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{{88} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 3}} -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}}+{{\left( {{32} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 3}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {6}}} -{{32} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{4 \ {{j \sp {2}} \sp 3} \ {{p \sb {6}} \sp 6}}+{{\left( {{12} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{p \sb {4}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{12} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 4}}+{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 3}}+{{\left( {{12} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( {8 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{24} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{8 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{p \sb {4}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{24} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {8 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{88} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{12} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{8 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {6}} \sp 2}}+{{\left( {{32} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {p \sb {6}}}+{4 \ {{k \sp {2}} \sp 3} \ {{p \sb {5}} \sp 6}}+{{\left( -{4 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}}+{{12} \ {i \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 2}}+{{12} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{4 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{8 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{88} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 4}}+{{\left( {{24} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{12} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{8 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {5}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{p \sb {4}} \sp 6}}+{{\left( {{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 4}}+{{\left( {{12} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {{24} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {4}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 6}}+{{\left( {{12} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 4}}+{{\left( {{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {3}} \sp 2}}+{4 \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 6}}+{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 4}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 6}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {7}} \sp 5}}+{{\left( -{{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {{p \sb {7}} \sp 4}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3} \ {p \sb {2}}} \right)} \ {{p \sb {7}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {6}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 3}}+{{\left( {{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {6}}}+{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}} -{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {6}} \sp 4}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}} -{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3} \ {p \sb {2}}} \right)} \ {{p \sb {6}} \sp 2}}+{{384} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{16} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {5}} \sp 4}}+{{\left( -{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3} \ {p \sb {2}}} \right)} \ {{p \sb {5}} \sp 2}}+{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {4}} \sp 4}}+{{\left( {{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3} \ {p \sb {2}}} \right)} \ {{p \sb {4}} \sp 2}}+{{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {p \sb {2}} \ {{p \sb {3}} \sp 4}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3} \ {p \sb {2}}} \right)} \ {{p \sb {3}} \sp 2}}+{{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 5}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3} \ {{p \sb {2}} \sp 3}}+{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 5} \ {p \sb {2}}} \right)} \ {p \sb {7}}} -{{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {6}} \sp 5}}+{{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 4}}+{{\left( -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 3}}+{{\left( -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {3}}} \right)} \ {{p \sb {6}} \sp 3}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 3}}+{{\left( -{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {{p \sb {6}} \sp 2}}+{{\left( -{{16} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {5}} \sp 4}}+{{\left( {{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {3}} \sp 3}}+{{\left( -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {3}}} \right)} \ {{p \sb {5}} \sp 2}} -{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {{p \sb {4}} \sp 4}}+{{\left( -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {3}}} \right)} \ {{p \sb {4}} \sp 2}} -{{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {3}} \sp 5}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3}} \right)} \ {{p \sb {3}} \sp 3}}+{{\left( -{{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 4}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3} \ {{p \sb {2}} \sp 2}} -{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 5}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {6}}}+{{16} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {p \sb {4}} \ {{p \sb {5}} \sp 5}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {4}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3}} \right)} \ {p \sb {4}}} \right)} \ {{p \sb {5}} \sp 3}}+{{\left( {{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 5}}+{{\left( {{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}} \right)} \ {{p \sb {4}} \sp 3}}+{{\left( {{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {3}} \sp 4}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3}} \right)} \ {{p \sb {3}} \sp 2}}+{{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {p \sb {1}} \ {{p \sb {2}} \sp 4}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 3} \ {{p \sb {2}} \sp 2}}+{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 5}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 4} \ {{p \sb {7}} \sp 8}}+{{\left( {4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 6}}+{{\left( {{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {{p \sb {7}} \sp 5}}+{{\left( {6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {{12} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{6 \ {{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( {4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{6 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {{12} \ {{i \sp {2}} \sp 4} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{6 \ {{i \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}} -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{6 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {7}} \sp 4}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 3}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {6}}} -{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {{p \sb {7}} \sp 3}}+{{\left( {4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{p \sb {6}} \sp 6}}+{{\left( {{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{p \sb {4}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 4}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 3}}+{{\left( {{12} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{8 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{24} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{p \sb {4}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{24} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {{88} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {6}} \sp 2}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( -{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {p \sb {6}}}+{4 \ {i \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {5}} \sp 6}}+{{\left( -{4 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 2}}+{4 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{88} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{{24} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {5}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 3} \ {{p \sb {4}} \sp 6}}+{{\left( {{12} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 4}}+{{\left( {{12} \ {{i \sp {2}} \sp 4} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{24} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {4}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 6}}+{{\left( {4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {3}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 6}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 4}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 6}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 5}} -{{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 4}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 3}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {3}}} \right)} \ {{p \sb {6}} \sp 3}}+{{\left( -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 3}}+{{\left( {{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {{p \sb {6}} \sp 2}}+{{\left( {{16} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {5}} \sp 4}}+{{\left( -{{160} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {2}} \ {{p \sb {3}} \sp 3}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {3}}} \right)} \ {{p \sb {5}} \sp 2}}+{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 4}}+{{\left( {{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {3}}} \right)} \ {{p \sb {4}} \sp 2}}+{{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {2}} \ {{p \sb {3}} \sp 5}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 3}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {{p \sb {3}} \sp 3}}+{{\left( {{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 5}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4} \ {p \sb {2}}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {6}}} -{{16} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {2}} \ {p \sb {4}} \ {{p \sb {5}} \sp 5}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {4}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 3}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {p \sb {4}}} \right)} \ {{p \sb {5}} \sp 3}}+{{\left( -{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 5}}+{{\left( -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {{p \sb {4}} \sp 3}}+{{\left( -{{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {2}} \ {{p \sb {3}} \sp 4}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 3}} -{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}} \right)} \ {{p \sb {3}} \sp 2}} -{{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 5}} -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4} \ {p \sb {2}}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 4} \ {{p \sb {6}} \sp 8}}+{{\left( {4 \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 4} \ {{p \sb {4}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{4 \ {{j \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 6}}+{{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {{p \sb {6}} \sp 5}}+{{\left( {6 \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( {4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{12} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {{p \sb {4}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{6 \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {6}} \sp 4}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {4}} \ {{p \sb {5}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 3}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {{p \sb {6}} \sp 3}}+{{\left( {4 \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {5}} \sp 6}}+{{\left( -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}}+{4 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 2}}+{{12} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {4}} \sp 4}}+{{\left( {{88} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{8 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 4}}+{{\left( {8 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{12} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{{24} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {5}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 4} \ {{p \sb {4}} \sp 6}}+{{\left( {4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{{24} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {4}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 6}}+{{\left( -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 4}}+{{\left( {4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {3}} \sp 2}}+{4 \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 6}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 4}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 6}} \right)} \ {{p \sb {6}} \sp 2}}+{{\left( {{16} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {p \sb {3}} \ {p \sb {4}} \ {{p \sb {5}} \sp 5}}+{{\left( -{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {4}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 3}}+{{\left( {{32} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {4}}} \right)} \ {{p \sb {5}} \sp 3}}+{{\left( {{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 5}}+{{\left( {{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}} \right)} \ {{p \sb {4}} \sp 3}}+{{\left( {{16} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 5}}+{{\left( {{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{{32} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 3}}+{{\left( {{16} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{{32} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{16} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {p \sb {3}}} \right)} \ {p \sb {4}}} \right)} \ {p \sb {5}}} \right)} \ {p \sb {6}}}+{{{k \sp {2}} \sp 4} \ {{p \sb {5}} \sp 8}}+{{\left( -{4 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {4}} \sp 2}}+{4 \ {i \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {3}} \sp 2}}+{4 \ {j \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 2}}+{4 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 6}}+{{\left( {6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 2}} -{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {3}} \sp 4}}+{{\left( {{12} \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{6 \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 4}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {5}} \sp 4}}+{{\left( -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {4}} \sp 6}}+{{\left( -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{4 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 4}}+{{\left( {4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 4}}+{{\left( {8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{8 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{8 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {4}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {3}} \sp 6}}+{{\left( {{12} \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 4}}+{{\left( {{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 4}}+{{24} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {3}} \sp 2}}+{4 \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 6}}+{{12} \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 4}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 4} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 6}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 4} \ {{p \sb {4}} \sp 8}}+{{\left( {4 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 3} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 4} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 6}}+{{\left( {6 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{6 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {4}} \sp 4}}+{{\left( {4 \ {{i \sp {2}} \sp 4} \ {j \sp {2}} \ {{k \sp {2}} \sp 3} \ {{p \sb {3}} \sp 6}}+{{\left( {{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 4}}+{{\left( {{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 4}}+{{24} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{12} \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {3}} \sp 2}}+{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {2}} \sp 6}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 4}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 4} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 3} \ {{p \sb {1}} \sp 6}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4} \ {{p \sb {3}} \sp 8}}+{{\left( {4 \ {{i \sp {2}} \sp 3} \ {j \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {j \sp {2}} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 6}}+{{\left( {6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 4}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{6 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 4}} \right)} \ {{p \sb {3}} \sp 4}}+{{\left( {4 \ {i \sp {2}} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 6}}+{{12} \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 4}}+{{12} \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 4} \ {{p \sb {2}} \sp 2}}+{4 \ {{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 3} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 6}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4} \ {{p \sb {2}} \sp 8}}+{4 \ {i \sp {2}} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 6}}+{6 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 4} \ {{p \sb {2}} \sp 4}}+{4 \ {{i \sp {2}} \sp 3} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 6} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4} \ {{p \sb {1}} \sp 8}}} \over {{{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4}} \leqno(48) $$
Type: Expression(Integer) factor(numer Ů)/factor(denom Ů)
$$ {{\left( {{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}} \right)} \sp 2} \over {{{i \sp {2}} \sp 4} \ {{j \sp {2}} \sp 4} \ {{k \sp {2}} \sp 4}} \leqno(49) $$
Type: Fraction(Factored(SparseMultivariatePolynomial(Integer,Kernel(Expression(Integer))))) (50) -> mU:=inverse matrix Ξ(Ξ(retract((𝐞.i*𝐞.j)/Ų), i,1..dim), j,1..dim)
$$ \left[ \begin{array}{cccccccc} {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {8}} \sp 3}}+{{\left( {{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {7}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {8}}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {7}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {7}} \sp 3}}+{{\left( -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {6}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {6}} \ {{p \sb {7}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {6}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {6}}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {7}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 3}}+{{\left( {{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {5}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {5}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {6}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {4}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 3}}+{{\left( -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {4}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {6}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {6}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {7}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {7}} \sp 2}}+{{\left( -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {8}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {7}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} \ {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {7}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {7}} \sp 3}}+{{\left( -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{j \sp {2}} \ {k \sp {2}} \ {{p \sb {8}} \sp 3}}+{{\left( -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {7}} \sp 2}} -{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {6}} \sp 2}} -{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {8}}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {5}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {5}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {6}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {4}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 3}}+{{\left( -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {4}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {6}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {6}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{j \sp {2}} \ {k \sp {2}} \ {p \sb {6}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {8}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {6}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {7}}} -{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {6}} \sp 3}}+{{\left( -{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {8}}}+{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {6}}}+{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 3}}+{{\left( -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {8}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {7}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {7}} \ {p \sb {8}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {7}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}}+{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} \ {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {6}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {6}} \ {{p \sb {7}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {6}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {6}}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {5}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {5}} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {5}} \ {p \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {4}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 3}}+{{\left( {{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {4}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {k \sp {2}} \ {{p \sb {8}} \sp 3}}+{{\left( -{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {7}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {8}}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {7}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {7}} \sp 2}}+{{\left( -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {k \sp {2}} \ {p \sb {7}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {7}} \sp 3}}+{{\left( -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {8}} \sp 2}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {7}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {8}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {7}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {7}}}+{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {6}}}+{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 3}}+{{\left( -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {6}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {6}} \ {p \sb {7}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} \ {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {7}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 3}}+{{\left( {{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {6}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {6}} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {8}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {7}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {7}} \sp 2}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {{p \sb {8}} \sp 3}}+{{\left( -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {7}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {8}}} -{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {8}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {7}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {p \sb {7}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {7}} \sp 3}}+{{\left( -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {p \sb {6}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {p \sb {6}} \ {{p \sb {7}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {6}}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {p \sb {4}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {5}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {p \sb {4}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {5}} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {p \sb {4}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {5}} \ {p \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 3}}+{{\left( {{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {4}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} \ {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {5}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {5}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {6}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {4}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 3}}+{{\left( -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {4}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{j \sp {2}} \ {k \sp {2}} \ {p \sb {6}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {8}}}+{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {6}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {6}} \sp 3}}+{{\left( {{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {k \sp {2}} \ {p \sb {7}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {7}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {8}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {7}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{k \sp {2}} \ {{p \sb {8}} \sp 3}}+{{\left( -{{i \sp {2}} \ {k \sp {2}} \ {{p \sb {7}} \sp 2}} -{{j \sp {2}} \ {k \sp {2}} \ {{p \sb {6}} \sp 2}} -{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {8}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {7}} \ {p \sb {8}}}+{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {7}} \sp 2}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}} -{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}} -{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {6}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {6}} \ {p \sb {7}}}+{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}} -{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{k \sp {2}} \ {p \sb {5}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {8}}}+{{i \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {7}}}+{{j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 3}}+{{\left( -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} \ {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {6}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {6}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {8}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {7}}} -{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {6}}} -{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 3}}+{{\left( {{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {8}} \sp 2}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {7}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {p \sb {7}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {7}} \sp 3}}+{{\left( {{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {7}} \ {p \sb {8}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {7}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}}+{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{j \sp {2}} \ {{p \sb {8}} \sp 3}}+{{\left( -{{i \sp {2}} \ {j \sp {2}} \ {{p \sb {7}} \sp 2}} -{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 2}} -{{j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {8}}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {p \sb {4}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {5}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {p \sb {4}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {5}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {p \sb {4}} \ {{p \sb {6}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 3}}+{{\left( -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {4}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{j \sp {2}} \ {p \sb {6}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {8}}}+{{i \sp {2}} \ {j \sp {2}} \ {p \sb {6}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 3}}+{{\left( {{j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} \ {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {7}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {7}} \sp 2}}+{{\left( -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {8}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {7}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {8}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {7}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {7}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {6}}} -{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 3}}+{{\left( {{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {j \sp {2}} \ {p \sb {6}} \ {{p \sb {8}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {8}}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {p \sb {6}} \ {{p \sb {7}} \sp 2}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {7}}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 3}}+{{\left( -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {6}}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {6}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {6}} \ {p \sb {7}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {p \sb {4}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {5}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {p \sb {4}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {5}} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {p \sb {4}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {5}} \ {p \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 3}}+{{\left( {{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {4}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{-{{i \sp {2}} \ {{p \sb {8}} \sp 3}}+{{\left( -{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}} -{{i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}} -{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {8}}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {p \sb {7}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} \ {{-{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {8}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {7}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {1}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {p \sb {1}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 3}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {7}} \ {p \sb {8}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {7}} \sp 2}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {6}} \sp 2}}+{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {5}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {2}} \ {{p \sb {4}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {2}} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 3}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {p \sb {2}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {6}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {6}} \ {p \sb {7}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {p \sb {3}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {3}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {j \sp {2}} \ {p \sb {4}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {5}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {p \sb {4}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {5}} \ {p \sb {7}}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {p \sb {4}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {5}} \ {p \sb {6}}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {4}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 3}}+{{\left( {{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {4}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{k \sp {2}} \ {p \sb {5}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {8}}}+{{i \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {7}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {7}}}+{{j \sp {2}} \ {k \sp {2}} \ {p \sb {5}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 3}}+{{\left( -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{{i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{{j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{j \sp {2}} \ {p \sb {6}} \ {{p \sb {8}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {8}}}+{{i \sp {2}} \ {j \sp {2}} \ {p \sb {6}} \ {{p \sb {7}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 3}}+{{\left( {{j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{i \sp {2}} \ {p \sb {7}} \ {{p \sb {8}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 3}}+{{\left( {{i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{{i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {7}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} & {{{{p \sb {8}} \sp 3}+{{\left( {{i \sp {2}} \ {{p \sb {7}} \sp 2}}+{{j \sp {2}} \ {{p \sb {6}} \sp 2}}+{{k \sp {2}} \ {{p \sb {5}} \sp 2}}+{{i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{{i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{{j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{{i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {p \sb {8}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}}} \over {{{p \sb {8}} \sp 4}+{{\left( {2 \ {i \sp {2}} \ {{p \sb {7}} \sp 2}}+{2 \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {8}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {2}} \ {p \sb {7}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {3}} \ {p \sb {6}}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {1}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {8}}}+{{{i \sp {2}} \sp 2} \ {{p \sb {7}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{p \sb {6}} \sp 2}}+{2 \ {i \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {7}} \sp 2}}+{{\left( {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {3}} \ {p \sb {6}}} -{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {2}} \ {p \sb {4}} \ {p \sb {5}}} \right)} \ {p \sb {7}}}+{{{j \sp {2}} \sp 2} \ {{p \sb {6}} \sp 4}}+{{\left( {2 \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {5}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 2}} -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {6}} \sp 2}}+{8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {p \sb {3}} \ {p \sb {4}} \ {p \sb {5}} \ {p \sb {6}}}+{{{k \sp {2}} \sp 2} \ {{p \sb {5}} \sp 4}}+{{\left( -{2 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {4}} \sp 2}}+{2 \ {i \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 2}}+{2 \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {5}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{p \sb {4}} \sp 4}}+{{\left( {2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {k \sp {2}} \ {{p \sb {3}} \sp 2}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {k \sp {2}} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {4}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {3}} \sp 4}}+{{\left( {2 \ {i \sp {2}} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 2}}+{2 \ {{i \sp {2}} \sp 2} \ {j \sp {2}} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2}} \right)} \ {{p \sb {3}} \sp 2}}+{{{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {2}} \sp 4}}+{2 \ {i \sp {2}} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 2} \ {{p \sb {2}} \sp 2}}+{{{i \sp {2}} \sp 2} \ {{j \sp {2}} \sp 2} \ {{k \sp {2}} \sp 2} \ {{p \sb {1}} \sp 4}}}} \end{array} \right] \leqno(50) $$
Type: Union(Matrix(Expression(Integer)),...) Ω:=Σ(Σ(mU(i,j)*(𝐞.i*𝐞.j), i,1..dim), j,1..dim);
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) ΩX:=Ω/X;
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) (53) -> d:𝐋:= Ω / Ų
$$ 8 \leqno(53) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))
test ( I ΩX ) / ( Ų I ) = I
$$ true \leqno(54) $$
Type: Boolean
test ( ΩX I ) / ( I Ų ) = I
$$ true \leqno(55) $$
Type: Boolean (56) -> eval(Ω,ck)
$$ {{1 \over 8} \ {| \sb {{ \ 1 \ 1}}}} -{{1 \over {8 \ {i \sp {2}}}} \ {| \sb {{ \ i \ i}}}} -{{1 \over {8 \ {j \sp {2}}}} \ {| \sb {{ \ j \ j}}}} -{{1 \over {8 \ {k \sp {2}}}} \ {| \sb {{ \ k \ k}}}} -{{1 \over {8 \ {i \sp {2}} \ {j \sp {2}}}} \ {| \sb {{ \ ij \ ij}}}} -{{1 \over {8 \ {i \sp {2}} \ {k \sp {2}}}} \ {| \sb {{ \ ik \ ik}}}} -{{1 \over {8 \ {j \sp {2}} \ {k \sp {2}}}} \ {| \sb {{ \ jk \ jk}}}}+{{1 \over {8 \ {i \sp {2}} \ {j \sp {2}} \ {k \sp {2}}}} \ {| \sb {{ \ ijk \ ijk}}}} \leqno(56) $$
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) (57) -> W:=(Y I) / Ų;
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer)) (58) -> eval(λ,ck)
$$ λ \leqno(58) $$
Type: Expression(Integer) (59) -> --test λ:= _ ( I ΩX ) / _ ( Y I ) ;
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))
test ( ΩX I ) / ( I Y ) = λ
$$ true \leqno(60) $$
Type: Boolean (61) -> H := Y / λ;
Type: ClosedLinearOperator(OrderedVariableList([1,i,j,k,ij,ik,jk,ijk]),Expression(Integer))
test ( λ I ) / ( I Y ) = H
$$ true \leqno(62) $$
Type: Boolean
test ( I λ ) / ( Y I ) = H
$$ true \leqno(63) $$
Type: Boolean (64) -> test( eval(H,ck)=eval(H/H,ck) )
Some or all expressions may not have rendered properly, because Latex returned the following error:
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(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-3.def) Missing $ inserted. <inserted text> $ l.128 macro Σ(x,i,n)==reduce(+,[x for i in n])
Missing $ inserted. <inserted text> $ l.128 macro Σ(x,i,n)==reduce(+,[x for i in n])
Missing $ inserted. <inserted text> $ l.130 macro Ξ(f,i,n)==[f for i in n]
Missing $ inserted. <inserted text> $ l.130 macro Ξ(f,i,n)==[f for i in n]
LaTeX Warning: Characters dropped after `\end{axiom}' on input line 134.
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-33.def) (/usr/share/texmf-texlive/tex/latex/bbm/ubbm.fd) (/usr/share/texmf-texlive/tex/latex/ucs/data/uni-468.def) Missing $ inserted. <inserted text> $ l.146 Λ:𝐋:=co(1) -- co-evaluation
Missing $ inserted. <inserted text> $ l.146 Λ:𝐋:=co(1) -- co-evaluation
LaTeX Warning: Characters dropped after `\end{axiom}' on input line 148.
Overfull \hbox (197.59087pt too wide) in paragraph at lines 154--154 []\T1/cmtt/m/n/12 B:$\U/rsfs/m/n/12 L$ \T1/cmtt/m/n/12 QQ := [monomial(1,[]),mo nomial(1,[1]),monomial(1,[2]),monomial(1,[3]),monomial(1,[1,2]),monomial(1,[1,3 ]),monomial(1,[2,3]),monomial(1,[1,2,3])][] Missing $ inserted. <inserted text> $ l.155 ...atrix Ξ(Ξ(B.i*B.j, i,1..dim), j,1..dim)
Missing $ inserted. <inserted text> $ l.155 ...atrix Ξ(Ξ(B.i*B.j, i,1..dim), j,1..dim)
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-4.def) Undefined control sequence. \u-default-1109 #1->\cyrdze
l.157 ѕ :=map(S,B)::ℒ ℒ ℒ ℚ
Missing $ inserted. <inserted text> $ l.159 ...j*𝐝.k, i,1..dim), j,1..dim), k,1..dim)
Undefined control sequence. \u-default-1109 #1->\cyrdze
l.159 ...j*𝐝.k, i,1..dim), j,1..dim), k,1..dim)
Missing $ inserted. <inserted text> $ l.159 ...j*𝐝.k, i,1..dim), j,1..dim), k,1..dim)
Missing $ inserted. <inserted text> $ l.161 ...�((𝐞.i*𝐞.j)/Y, i,1..dim), j,1..dim)
Missing $ inserted. <inserted text> $ l.161 ...�((𝐞.i*𝐞.j)/Y, i,1..dim), j,1..dim)
LaTeX Warning: Characters dropped after `\end{axiom}' on input line 162.
[2] [3] Missing $ inserted. <inserted text> $ l.166 a:=Σ(sb('a,[i])*𝐞.i, i,1..dim)
TeX capacity exceeded, sorry [main memory size=1500000].
->\leavevmode \kern \z@ \char `\l.166 a:=Σ(sb('a,[i])*𝐞.i, i,1..dim)Output written on 873149137481489098-16.0px.dvi (3 pages, 2904 bytes). Transcript written on 873149137481489098-16.0px.log.