<content> F.Tonon's paper results + Maxima Integrations: </content>

882998cf-bbb8-4339-97c4-45e82cbd00d8 196 ioan92 4 5 false false false 0 0 decimal

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Dr Ioan DIACU

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TETRAHEDRON Inertia Tensor : F. Tonon - Solution:

Checked (ID) by Integration using Maxima:

https://thescipub.com/abstract/jmssp.2005.8.11

\[DATE[YYYY\002D\MM\002D\DD]]\

<content> F.Tonon's paper results + Maxima Integrations: </content>

DJ 1 :

μ 1 :

a μ DJ * 60 / y1 2^y1 y2 * + y2 2^+ y1 y3 * + y2 y3 * + y3 2^+ y1 y4 * + y2 y4 * + y3 y4 * + y4 2^+ z1 2^+ z1 z2 * + z2 2^+ z1 z3 * + z2 z3 * + z3 2^+ z1 z4 * + z2 z4 * + z3 z4 * + z4 2^+ (* : y1 y1 y2 + y3 + y4 + (* y2 y2 y3 + y4 + (* + y3 y3 y4 + (* + y4 2^+ z1 z1 z2 + z3 + z4 + (* + z2 z2 z3 + z4 + (* + z3 z3 z4 + (* + z4 2^+ 60 /

b μ DJ * 60 / x1 2^x1 x2 * + x2 2^+ x1 x3 * + x2 x3 * + x3 2^+ x1 x4 * + x2 x4 * + x3 x4 * + x4 2^+ z1 2^+ z1 z2 * + z2 2^+ z1 z3 * + z2 z3 * + z3 2^+ z1 z4 * + z2 z4 * + z3 z4 * + z4 2^+ (* : x1 x1 x2 + x3 + x4 + (* x2 x2 x3 + x4 + (* + x3 x3 x4 + (* + x4 2^+ z1 z1 z2 + z3 + z4 + (* + z2 z2 z3 + z4 + (* + z3 z3 z4 + (* + z4 2^+ 60 /

c μ DJ * 60 / x1 2^x1 x2 * + x2 2^+ x1 x3 * + x2 x3 * + x3 2^+ x1 x4 * + x2 x4 * + x3 x4 * + x4 2^+ y1 2^+ y1 y2 * + y2 2^+ y1 y3 * + y2 y3 * + y3 2^+ y1 y4 * + y2 y4 * + y3 y4 * + y4 2^+ (* : x1 x1 x2 + x3 + x4 + (* x2 x2 x3 + x4 + (* + x3 x3 x4 + (* + x4 2^+ y1 y1 y2 + y3 + y4 + (* + y2 y2 y3 + y4 + (* + y3 y3 y4 + (* + y4 2^+ 60 /

a' μ DJ * 120 / 2 y1 * z1 * y2 z1 * + y3 z1 * + y4 z1 * + y1 z2 * + 2 y2 * z2 * + y3 z2 * + y4 z2 * + y1 z3 * + y2 z3 * + 2 y3 * z3 * + y4 z3 * + y1 z4 * + y2 z4 * + y3 z4 * + 2 y4 * z4 * + (* : z1 y2 y3 + 2 y1 * + y4 + (* z2 y1 y3 + 2 y2 * + y4 + (* + z3 y1 y2 + 2 y3 * + y4 + (* + z4 y1 y2 + y3 + 2 y4 * + (* + 120 /

b' μ DJ * 120 / 2 x1 * z1 * x2 z1 * + x3 z1 * + x4 z1 * + x1 z2 * + 2 x2 * z2 * + x3 z2 * + x4 z2 * + x1 z3 * + x2 z3 * + 2 x3 * z3 * + x4 z3 * + x1 z4 * + x2 z4 * + x3 z4 * + 2 x4 * z4 * + (* : z1 x2 x3 + 2 x1 * + x4 + (* z2 x1 x3 + 2 x2 * + x4 + (* + z3 x1 x2 + 2 x3 * + x4 + (* + z4 x1 x2 + x3 + 2 x4 * + (* + 120 /

c' μ DJ * 120 / 2 x1 * y1 * x2 y1 * + x3 y1 * + x4 y1 * + x1 y2 * + 2 x2 * y2 * + x3 y2 * + x4 y2 * + x1 y3 * + x2 y3 * + 2 x3 * y3 * + x4 y3 * + x1 y4 * + x2 y4 * + x3 y4 * + 2 x4 * y4 * + (* : y1 x2 x3 + 2 x1 * + x4 + (* y2 x1 x3 + 2 x2 * + x4 + (* + y3 x1 x2 + 2 x3 * + x4 + (* + y4 x1 x2 + x3 + 2 x4 * + (* + 120 /

<content> Symbolic Integration with Maxima: </content>

ξ η ζ x x1 x2 x1 - (ξ * + x3 x1 - (η * + x4 x1 - (ζ * + (:

ξ η ζ y y1 y2 y1 - (ξ * + y3 y1 - (η * + y4 y1 - (ζ * + (:

ξ η ζ z z1 z2 z1 - (ξ * + z3 z1 - (η * + z4 z1 - (ζ * + (:

So, it doesn't works ...? a ξ η ζ y 2^ξ η ζ z 2^(+ (ζ 01 ξ - η - int η 01 ξ - int ξ 01 int Maxima : #

?????

a y1 y2 y1 - (ξ * + y3 y1 - (η * + y4 y1 - (ζ * + (2^z1 z2 z1 - (ξ * + z3 z1 - (η * + z4 z1 - (ζ * + (2^+ (ζ 01 ξ - η - int η 01 ξ - int ξ 01 int Maxima : z4 z3 z2 + z1 + z4 + (* z3 z2 z1 + z3 + (* + z2 z2 z1 + (* + z1 2^+ y4 y3 y2 + y1 + y4 + (* + y3 y2 y1 + y3 + (* + y2 y2 y1 + (* + y1 2^+ 60 /

b x1 x2 x1 - (ξ * + x3 x1 - (η * + x4 x1 - (ζ * + (2^z1 z2 z1 - (ξ * + z3 z1 - (η * + z4 z1 - (ζ * + (2^+ (ζ 01 ξ - η - int η 01 ξ - int ξ 01 int Maxima : z4 z3 z2 + z1 + z4 + (* z3 z2 z1 + z3 + (* + z2 z2 z1 + (* + z1 2^+ x4 x3 x2 + x1 + x4 + (* + x3 x2 x1 + x3 + (* + x2 x2 x1 + (* + x1 2^+ 60 /

c y1 y2 y1 - (ξ * + y3 y1 - (η * + y4 y1 - (ζ * + (2^x1 x2 x1 - (ξ * + x3 x1 - (η * + x4 x1 - (ζ * + (2^+ (ζ 01 ξ - η - int η 01 ξ - int ξ 01 int Maxima : y4 y3 y2 + y1 + y4 + (* y3 y2 y1 + y3 + (* + y2 y2 y1 + (* + y1 2^+ x4 x3 x2 + x1 + x4 + (* + x3 x2 x1 + x3 + (* + x2 x2 x1 + (* + x1 2^+ 60 /

a' y1 y2 y1 - (ξ * + y3 y1 - (η * + y4 y1 - (ζ * + (z1 z2 z1 - (ξ * + z3 z1 - (η * + z4 z1 - (ζ * + (* (ζ 01 ξ - η - int η 01 ξ - int ξ 01 int Maxima : y3 y2 + y1 + 2 y4 * + (z4 * y4 y2 + y1 + 2 y3 * + (z3 * + y4 y3 + y1 + 2 y2 * + (z2 * + y4 y3 + y2 + 2 y1 * + (z1 * + 120 /

b' x1 x2 x1 - (ξ * + x3 x1 - (η * + x4 x1 - (ζ * + (z1 z2 z1 - (ξ * + z3 z1 - (η * + z4 z1 - (ζ * + (* (ζ 01 ξ - η - int η 01 ξ - int ξ 01 int Maxima : x3 x2 + x1 + 2 x4 * + (z4 * x4 x2 + x1 + 2 x3 * + (z3 * + x4 x3 + x1 + 2 x2 * + (z2 * + x4 x3 + x2 + 2 x1 * + (z1 * + 120 /

c' y1 y2 y1 - (ξ * + y3 y1 - (η * + y4 y1 - (ζ * + (x1 x2 x1 - (ξ * + x3 x1 - (η * + x4 x1 - (ζ * + (* (ζ 01 ξ - η - int η 01 ξ - int ξ 01 int Maxima : x3 x2 + x1 + 2 x4 * + (y4 * x4 x2 + x1 + 2 x3 * + (y3 * + x4 x3 + x1 + 2 x2 * + (y2 * + x4 x3 + x2 + 2 x1 * + (y1 * + 120 /

x1 y1 z1 x2 y2 z2 x3 y3 z3 x4 y4 z4 43 mat 8.33220 11.86875 - 0.93355 0.75523 5 16.37072 52.61236 5 5.38580 - 25343 mat :

x1 y1 z1 x2 y2 z2 x3 y3 z3 x4 y4 z4 43 mat 00010000010000010043 mat :

P4 x1 y1 z1 x2 y2 z2 x3 y3 z3 x4 y4 z4 43 mat :

aa z4 z3 z2 + z1 + z4 + (* z3 z2 z1 + z3 + (* + z2 z2 z1 + (* + z1 2^+ y4 y3 y2 + y1 + y4 + (* + y3 y2 y1 + y3 + (* + y2 y2 y1 + (* + y1 2^+ 60 / : 6.2926

bb z4 z3 z2 + z1 + z4 + (* z3 z2 z1 + z3 + (* + z2 z2 z1 + (* + z1 2^+ x4 x3 x2 + x1 + x4 + (* + x3 x2 x1 + x3 + (* + x2 x2 x1 + (* + x1 2^+ 60 / : 61.9097

cc y4 y3 y2 + y1 + y4 + (* y3 y2 y1 + y3 + (* + y2 y2 y1 + (* + y1 2^+ x4 x3 x2 + x1 + x4 + (* + x3 x2 x1 + x3 + (* + x2 x2 x1 + (* + x1 2^+ 60 / : 59.3783

aa' y3 y2 + y1 + 2 y4 * + (z4 * y4 y2 + y1 + 2 y3 * + (z3 * + y4 y3 + y1 + 2 y2 * + (z2 * + y4 y3 + y2 + 2 y1 * + (z1 * + 120 / : 0.8796

bb' x3 x2 + x1 + 2 x4 * + (z4 * x4 x2 + x1 + 2 x3 * + (z3 * + x4 x3 + x1 + 2 x2 * + (z2 * + x4 x3 + x2 + 2 x1 * + (z1 * + 120 / : 5.7757

cc' x3 x2 + x1 + 2 x4 * + (y4 * x4 x2 + x1 + 2 x3 * + (y3 * + x4 x3 + x1 + 2 x2 * + (y2 * + x4 x3 + x2 + 2 x1 * + (y1 * + 120 / : 3.145

aa bb cc aa' bb' cc' 61 mat 6.2926 61.9097 59.3783 0.8796 5.7757 3.145 61 mat

<content> Symbolic Maxima Integration Results: </content>

InD x1 y1 z1 x2 y2 z2 x3 y3 z3 x4 y4 z4 43 mat :

x14 InD 14 range 1 el sum : x13 InD 13 range 1 el sum : x12 InD 12 range 1 el sum : y14 InD 14 range 2 el sum : y13 InD 13 range 2 el sum : y12 InD 12 range 2 el sum : z14 InD 14 range 3 el sum : z13 InD 13 range 3 el sum : z12 InD 12 range 3 el sum : 33 mat x1 x2 + x3 + x4 + x1 x2 + x3 + x1 x2 + y1 y2 + y3 + y4 + y1 y2 + y3 + y1 y2 + z1 z2 + z3 + z4 + z1 z2 + z3 + z1 z2 + 33 mat

aa z14 z4 * z13 z3 * + z12 z2 * + z1 2^+ y14 y4 * y13 y3 * + y12 y2 * + y1 2^+ + 60 / : z1 z2 + z3 + z4 + (z4 * z1 z2 + z3 + (z3 * + z1 z2 + (z2 * + z1 2^+ y1 y2 + y3 + y4 + (y4 * + y1 y2 + y3 + (y3 * + y1 y2 + (y2 * + y1 2^+ 60 /

bb z14 z4 * z13 z3 * + z12 z2 * + z1 2^+ x14 x4 * x13 x3 * + x12 x2 * + x1 2^+ + 60 / : z1 z2 + z3 + z4 + (z4 * z1 z2 + z3 + (z3 * + z1 z2 + (z2 * + z1 2^+ x1 x2 + x3 + x4 + (x4 * + x1 x2 + x3 + (x3 * + x1 x2 + (x2 * + x1 2^+ 60 /

cc x14 x4 * x13 x3 * + x12 x2 * + x1 2^+ y14 y4 * y13 y3 * + y12 y2 * + y1 2^+ + 60 / : x1 x2 + x3 + x4 + (x4 * x1 x2 + x3 + (x3 * + x1 x2 + (x2 * + x1 2^+ y1 y2 + y3 + y4 + (y4 * + y1 y2 + y3 + (y3 * + y1 y2 + (y2 * + y1 2^+ 60 /

aa' y14 y4 + (z4 * y14 y3 + (z3 * + y14 y2 + (z2 * + y14 y1 + (z1 * + 120 / : y1 y2 + y3 + 2 y4 * + (z4 * y1 y2 + 2 y3 * + y4 + (z3 * + y1 2 y2 * + y3 + y4 + (z2 * + 2 y1 * y2 + y3 + y4 + (z1 * + 120 /

bb' x14 x4 + (z4 * x14 x3 + (z3 * + x14 x2 + (z2 * + x14 x1 + (z1 * + 120 / : x1 x2 + x3 + 2 x4 * + (z4 * x1 x2 + 2 x3 * + x4 + (z3 * + x1 2 x2 * + x3 + x4 + (z2 * + 2 x1 * x2 + x3 + x4 + (z1 * + 120 /

cc' x14 x4 + (y4 * x14 x3 + (y3 * + x14 x2 + (y2 * + x14 x1 + (y1 * + 120 / : x1 x2 + x3 + 2 x4 * + (y4 * x1 x2 + 2 x3 * + x4 + (y3 * + x1 2 x2 * + x3 + x4 + (y2 * + 2 x1 * x2 + x3 + x4 + (y1 * + 120 /

tx x14 x4 * x13 x3 * + x12 x2 * + x1 2^+ :

ty y14 y4 * y13 y3 * + y12 y2 * + y1 2^+ :

tz z14 z4 * z13 z3 * + z12 z2 * + z1 2^+ :

aa tz ty + 60 / : z1 z2 + z3 + z4 + (z4 * z1 z2 + z3 + (z3 * + z1 z2 + (z2 * + z1 2^+ y1 y2 + y3 + y4 + (y4 * + y1 y2 + y3 + (y3 * + y1 y2 + (y2 * + y1 2^+ 60 /

bb tz tx + 60 / : z1 z2 + z3 + z4 + (z4 * z1 z2 + z3 + (z3 * + z1 z2 + (z2 * + z1 2^+ x1 x2 + x3 + x4 + (x4 * + x1 x2 + x3 + (x3 * + x1 x2 + (x2 * + x1 2^+ 60 /

aa' y3 y2 + y1 + 2 y4 * + (z4 * y4 y2 + y1 + 2 y3 * + (z3 * + y4 y3 + y1 + 2 y2 * + (z2 * + y4 y3 + y2 + 2 y1 * + (z1 * + 120 / : y3 y2 + y1 + 2 y4 * + (z4 * y4 y2 + y1 + 2 y3 * + (z3 * + y4 y3 + y1 + 2 y2 * + (z2 * + y4 y3 + y2 + 2 y1 * + (z1 * + 120 /

bb' x3 x2 + x1 + 2 x4 * + (z4 * x4 x2 + x1 + 2 x3 * + (z3 * + x4 x3 + x1 + 2 x2 * + (z2 * + x4 x3 + x2 + 2 x1 * + (z1 * + 120 / : x3 x2 + x1 + 2 x4 * + (z4 * x4 x2 + x1 + 2 x3 * + (z3 * + x4 x3 + x1 + 2 x2 * + (z2 * + x4 x3 + x2 + 2 x1 * + (z1 * + 120 /

cc' x3 x2 + x1 + 2 x4 * + (y4 * x4 x2 + x1 + 2 x3 * + (y3 * + x4 x3 + x1 + 2 x2 * + (y2 * + x4 x3 + x2 + 2 x1 * + (y1 * + 120 / : x3 x2 + x1 + 2 x4 * + (y4 * x4 x2 + x1 + 2 x3 * + (y3 * + x4 x3 + x1 + 2 x2 * + (y2 * + x4 x3 + x2 + 2 x1 * + (y1 * + 120 /

aa' y14 y4 + (z4 * y14 y3 + (z3 * + y14 y2 + (z2 * + y14 y1 + (z1 * + 120 / : y1 y2 + y3 + 2 y4 * + (z4 * y1 y2 + 2 y3 * + y4 + (z3 * + y1 2 y2 * + y3 + y4 + (z2 * + 2 y1 * y2 + y3 + y4 + (z1 * + 120 /

aa' z14 z4 + (y4 * z14 z3 + (y3 * + z14 z2 + (y2 * + z14 z1 + (y1 * + 120 / : z1 z2 + z3 + 2 z4 * + (y4 * z1 z2 + 2 z3 * + z4 + (y3 * + z1 2 z2 * + z3 + z4 + (y2 * + 2 z1 * z2 + z3 + z4 + (y1 * + 120 /

bb' x14 x4 + (z4 * x14 x3 + (z3 * + x14 x2 + (z2 * + x14 x1 + (z1 * + 120 / : x1 x2 + x3 + 2 x4 * + (z4 * x1 x2 + 2 x3 * + x4 + (z3 * + x1 2 x2 * + x3 + x4 + (z2 * + 2 x1 * x2 + x3 + x4 + (z1 * + 120 /

cc' x14 x4 + (y4 * x14 x3 + (y3 * + x14 x2 + (y2 * + x14 x1 + (y1 * + 120 / : x1 x2 + x3 + 2 x4 * + (y4 * x1 x2 + 2 x3 * + x4 + (y3 * + x1 2 x2 * + x3 + x4 + (y2 * + 2 x1 * x2 + x3 + x4 + (y1 * + 120 /

cc' y14 y4 + (x4 * y14 y3 + (x3 * + y14 y2 + (x2 * + y14 y1 + (x1 * + 120 / : y1 y2 + y3 + 2 y4 * + (x4 * y1 y2 + 2 y3 * + y4 + (x3 * + y1 2 y2 * + y3 + y4 + (x2 * + 2 y1 * y2 + y3 + y4 + (x1 * + 120 /

aa bb cc aa' bb' cc' 61 mat z1 z2 + z3 + z4 + (z4 * z1 z2 + z3 + (z3 * + z1 z2 + (z2 * + z1 2^+ y1 y2 + y3 + y4 + (y4 * + y1 y2 + y3 + (y3 * + y1 y2 + (y2 * + y1 2^+ 60 / z1 z2 + z3 + z4 + (z4 * z1 z2 + z3 + (z3 * + z1 z2 + (z2 * + z1 2^+ x1 x2 + x3 + x4 + (x4 * + x1 x2 + x3 + (x3 * + x1 x2 + (x2 * + x1 2^+ 60 / x1 x2 + x3 + x4 + (x4 * x1 x2 + x3 + (x3 * + x1 x2 + (x2 * + x1 2^+ y1 y2 + y3 + y4 + (y4 * + y1 y2 + y3 + (y3 * + y1 y2 + (y2 * + y1 2^+ 60 / z1 z2 + z3 + 2 z4 * + (y4 * z1 z2 + 2 z3 * + z4 + (y3 * + z1 2 z2 * + z3 + z4 + (y2 * + 2 z1 * z2 + z3 + z4 + (y1 * + 120 / x1 x2 + x3 + 2 x4 * + (z4 * x1 x2 + 2 x3 * + x4 + (z3 * + x1 2 x2 * + x3 + x4 + (z2 * + 2 x1 * x2 + x3 + x4 + (z1 * + 120 / y1 y2 + y3 + 2 y4 * + (x4 * y1 y2 + 2 y3 * + y4 + (x3 * + y1 2 y2 * + y3 + y4 + (x2 * + 2 y1 * y2 + y3 + y4 + (x1 * + 120 / 61 mat

x1 y1 z1 x2 y2 z2 x3 y3 z3 x4 y4 z4 43 mat 8.3322 11.8688 - 0.9336 0.7552 5 16.3707 52.6124 5 5.3858 - 25343 mat :

a b c a' b' c' 61 mat 6.2926 61.9097 59.3783 0.8796 5.7757 3.145 61 mat

aa bb cc aa' bb' cc' 61 mat 6.2926 61.9097 59.3783 0.8796 5.7757 3.145 61 mat

Synthetical Application with Maxima's Results - Ioan: InD TIG In FI x1 y1 z1 x2 y2 z2 x3 y3 z3 x4 y4 z4 43 mat In : DJ x2 x1 - x3 x1 - x4 x1 - y2 y1 - y3 y1 - y4 y1 - z2 z1 - z3 z1 - z4 z1 - 33 mat det : 12 mat Vol 16 / In 111114 mat transpose augment det * (abs : x14 In 14 range 1 el sum : x13 In 13 range 1 el sum : x12 In 12 range 1 el sum : y14 In 14 range 2 el sum : y13 In 13 range 2 el sum : y12 In 12 range 2 el sum : z14 In 14 range 3 el sum : z13 In 13 range 3 el sum : z12 In 12 range 3 el sum : 33 mat aa bb cc aa' bb' cc' 61 mat 160 / z14 z4 * z13 z3 * + z12 z2 * + z1 2^+ y14 y4 * + y13 y3 * + y12 y2 * + y1 2^+ z14 z4 * z13 z3 * + z12 z2 * + z1 2^+ x14 x4 * + x13 x3 * + x12 x2 * + x1 2^+ x14 x4 * x13 x3 * + x12 x2 * + x1 2^+ y14 y4 * + y13 y3 * + y12 y2 * + y1 2^+ 0.5 z14 z4 + (y4 * z14 z3 + (y3 * + z14 z2 + (y2 * + z14 z1 + (y1 * + (* 0.5 x14 x4 + (z4 * x14 x3 + (z3 * + x14 x2 + (z2 * + x14 x1 + (z1 * + (* 0.5 y14 y4 + (x4 * y14 y3 + (x3 * + y14 y2 + (x2 * + y14 y1 + (x1 * + (* 61 mat * : PG 14 / In k row k 14 sum * : E.Q aa bb' - cc' - bb' - bb aa' - cc' - aa' - cc 33 mat DJ * : DJ Vol 14 mat 51 line : RF InD FI : CG RF 1 el : EQ RF 2 el : Vol RF 4 el : DJ RF 3 el : 15 mat InD.CG InD CG CG CG CG stack - : RFG InD.CG FI : 12 mat E.Q0 RF 2 el : CG Vol E.QG RFG 2 el : RFG 1 el DJ RF 3 el : 16 mat 41 line :

InD 8.3322 11.8688 - 0.9336 0.7552 5 16.3707 52.6124 5 5.3858 - 25343 mat :

RTIG InD TIG :

In respect with the Original Axis: I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat RTIG 1 el : 70725.25 64915.87 - 35348.13 - 64915.87 - 695829.28 9886.63 - 35348.13 - 9886.63 - 667377.9 33 mat

In respect with the Gravity Center Axis: I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat RTIG 4 el : 43520.46 46343.33 11996.26 - 46343.33 194711.94 4417.62 - 11996.26 - 4417.62 - 191169.6 33 mat

CG0 RTIG 2 el : 15.925 0.7828 3.7296 13 mat

Vol RTIG 3 el : 1873.24

CG RTIG 5 el : 00013 mat

DJ RTIG 6 el : 11239.42

DJ Vol / 6

RTIG 1 el DJ / 6.2926 5.7757 - 3.145 - 5.7757 - 61.9097 0.8796 - 3.145 - 0.8796 - 59.3783 33 mat

aa bb' - cc' - bb' - bb aa' - cc' - aa' - cc 33 mat

Eigenvalues & Eigenvectors:

Calcul numérique:

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat eigenvalues Maxima #

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat eigenvectors Maxima #

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvalues Maxima #

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvectors Maxima #

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat 70725.25 64915.87 - 35348.13 - 64915.87 - 695829.28 9886.63 - 35348.13 - 9886.63 - 667377.9 33 mat :

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat 43520.46 46343.33 11996.26 - 46343.33 194711.94 4417.62 - 11996.26 - 4417.62 - 191169.6 33 mat :

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat eigenvalues Maxima 668407.59 61893.7 703631.14 11161 sys

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat eigenvectors Maxima

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat eigenvectors Maxima Re 668407.59 61893.7 703631.14 11123 mat 1 2.24 - 12.79 - 13 mat 1 0.1 0.06 13 mat 1 10.83 - 1.98 13 mat 31 mat 12 mat

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvalues Maxima 188865.33 29781.35 210755.32 11161 sys

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvalues Maxima Re 188865.33 29781.35 210755.32 11161 sys

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvalues Maxima Re 188865.33 29781.35 210755.32 11161 sys

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvectors Maxima

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvectors Maxima Re 188865.33 29781.35 210755.32 11123 mat 1 8.9 22.27 13 mat 1 0.28 - 0.07 13 mat 1 3.26 1.35 - 13 mat 31 mat 12 mat

I3 I.xx I - Ixy I.xz I.yx I.yy I - I.yz I.Zx I.zy I.zz I - 33 mat :

E.Q aa bb' - cc' - bb' - bb aa' - cc' - aa' - cc 33 mat 6 * Vol * :

x.G y.G z.G 13 mat CG0 : 15.925 0.7828 3.7296 13 mat

a b c a' b' c' 61 mat 6.2926 61.9097 59.3783 0.8796 5.7757 3.145 61 mat

aa bb cc aa' bb' cc' 61 mat 6.2926 61.9097 59.3783 0.8796 5.7757 3.145 61 mat

In respect with the Original Axis: I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat RTIG 1 el : 70725.25 64915.87 - 35348.13 - 64915.87 - 695829.28 9886.63 - 35348.13 - 9886.63 - 667377.9 33 mat

In respect with the Gravity Center Axis: I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat RTIG 4 el : 43520.46 46343.33 11996.26 - 46343.33 194711.94 4417.62 - 11996.26 - 4417.62 - 191169.6 33 mat

????? I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat Vol y.G 2^z.G 2^+ x.G y.G * x.G z.G * x.G y.G * x.G 2^z.G 2^+ y.G z.G * x.G z.G * y.G z.G * x.G 2^y.G 2^+ 33 mat * - : 43520.46 88267.74 - 146607.33 - 88267.74 - 194711.94 15355.63 - 146607.33 - 15355.63 - 191169.6 33 mat

Axis Translation from O to G:

I.xx I - I.xy I.xz I.yx I.yy I - I.yz I.zx I.zy I.zz I - 33 mat

I fI I.xx I - (I.yy I - (* I.zz I - (* I.xy I.yz * I.Zx * + I.xz I.yx * I.zy * + I.xz I.yy I - (* I.zx * - I.xx I - (I.yz * I.zy * - I.xy I.yx * I.zz I - (* - :

detA A 11 el A 22 el * A 33 el * A 12 el A 23 el * A 31 el * + A 13 el A 21 el * A 32 el * + A 13 el A 22 el * A 31 el * - A 11 el A 23 el * A 32 el * - A 12 el A 21 el * A 33 el * - :

λ m 21 mat I.xx I.xy I.xz I.yx I.yy I.yz I.zx I.zy I.zz 33 mat eigenvalues Maxima : 5431 i 3 sqrt * + (* 63 nthroot 2^* 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 332 /^* + 3 nthroot 2^* - 1 - i 3 sqrt * + (I.xx I.yy + I.zz + (2^3 I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (* + (* 3243 nthroot 2^* + 2 I.xx I.yy + I.zz + (* 63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * 3 sqrt * + (* 3243 nthroot 4^63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3 sqrt * / 5431 - i 3 sqrt * + (* 63 nthroot 2^* 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 332 /^* + 3 nthroot 2^* 1 i 3 sqrt * + (I.xx I.yy + I.zz + (2^3 I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (* + (* 3243 nthroot 2^* - 2 I.xx I.yy + I.zz + (* 63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - 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(* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 332 /^* + 3 nthroot 2^* I.xx I.yy + I.zz + (2^3 I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (* + (3243 nthroot 2^* + (* 9 I.xx I.yy + I.zz + (* 63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * + 2763 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * / 31 sys

m 11131 sys

I.xx I.xy I.xz I.yx I.yy I.yz I.zx I.zy I.zz 33 mat eigenvalues Maxima 5431 i 3 sqrt * + (* 63 nthroot 2^* 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 332 /^* + 3 nthroot 2^* - 1 - i 3 sqrt * + (I.xx I.yy + I.zz + (2^3 I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (* + (* 3243 nthroot 2^* + 2 I.xx I.yy + I.zz + (* 63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - 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I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * 3 sqrt * + (* 3243 nthroot 4^63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3 sqrt * / 32 nthroot 3^363 nthroot 2^* 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 332 /^* + 3 nthroot 2^* I.xx I.yy + I.zz + (2^3 I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (* + (3243 nthroot 2^* + (* 9 I.xx I.yy + I.zz + (* 63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * + 2763 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * / 31 sys 11131 sys 21 sys

λ m 21 mat I.xx I.xy I.xz I.yx I.yy I.yz I.zx I.zy I.zz 33 mat eigenvalues Maxima : 5431 i 3 sqrt * + (* 63 nthroot 2^* 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 332 /^* + 3 nthroot 2^* - 1 - i 3 sqrt * + (I.xx I.yy + I.zz + (2^3 I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (* + (* 3243 nthroot 2^* + 2 I.xx I.yy + I.zz + (* 63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * 3 sqrt * + (* 3243 nthroot 4^63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3 sqrt * / 5431 - i 3 sqrt * + (* 63 nthroot 2^* 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 332 /^* + 3 nthroot 2^* 1 i 3 sqrt * + (I.xx I.yy + I.zz + (2^3 I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (* + (* 3243 nthroot 2^* - 2 I.xx I.yy + I.zz + (* 63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - 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(* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 332 /^* + 3 nthroot 2^* I.xx I.yy + I.zz + (2^3 I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (* + (3243 nthroot 2^* + (* 9 I.xx I.yy + I.zz + (* 63 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * + 2763 nthroot * 27 I.zz I.zz I.zy I.yz 2^I.zy * 2 I.yz I.yy 4 I.yy * 5 I.xx * - (* 10 I.xy * I.yx * + I.xx 2^+ I.xz I.zx * + (* 3 I.xz * I.yx * I.yy I.xx + (* + (* + (* I.zx I.xz 2^I.zx * 2 I.xy 3 I.yy I.xx + (* I.yz * 10 I.xz * I.yx * + (* I.xz I.yy I.yy 5 I.xx * - (* 4 I.xx 2^* + (* + (* + (* + I.yy I.yy I.yy I.yy 2 I.xx * + (* 2 I.xy I.yx * 3 I.xx 2^* - (* + (* 2 I.xx * 10 I.xy * I.yx * I.xx 2^+ (* + (* + 2 I.xy * I.yx * 4 I.xy * I.yx * - I.xx 2^+ (* + I.xx 4^+ I.zz I.yy I.yy 2 I.xx * - (* 4 I.xy * I.yx * + I.xx 2^+ (I.zz * - 2 I.xx I.yy - (I.yz * 2 I.xz * I.yx * - (I.zy * - 2 I.xy * I.yz * I.xz I.yy - I.xx + (* + (I.zx * + I.yy I.xx 2^- 4 I.xy * I.yx * + I.yy I.yy I.xx - (* + (* + I.xx 4 I.xy * I.yx * I.xx 2^+ (* + (* + (* - (* 2 I.zy I.yz 9 I.xy * I.yz * I.xz I.yy I.xx + (* + (* 9 I.xz 2^* I.yx * + (I.zx * I.yz I.yy 10 I.xx 2^* - I.xy I.yx * + I.yy I.yy 5 I.xx * + (* + (* I.xx 19 I.xy * I.yx * 4 I.xx 2^* + (* + 4 I.xx * 5 I.yy * - (I.yz * 9 I.xz * I.yx * - (I.zy * - (* + 3 I.xz * I.yx * I.yy I.yy - 4 I.xx * + (* - 6 I.xy * I.yx * + I.xx 2^+ (* - (* I.zx I.xy 3 I.yy I.yy 4 I.xx * - (* 6 I.xy * I.yx * + I.xx 2^+ (* I.yz * - I.xx I.xz * I.yx * + (* I.xz I.yy 19 I.xy * I.yx * 5 I.xx 2^* + 2 I.yy * 2 I.yy * - 5 I.xx * + (* - (* I.xx 3^+ 9 I.xy * I.yz * I.xz 4 I.yy * - 5 I.xx * + (* + (I.zx * + (* + (* + I.yy I.xy I.yx * 4 I.xy * I.yx * 5 I.xx 2^* - (* I.xx 4^- I.yy I.yy I.xy I.yx * I.xx I.xx I.yy - (* + (* I.xx I.xx 2^5 I.xy * I.yx * - (* + (* + (* - I.xx I.xy * I.yx * 4 I.xy * I.yx * I.xx 2^+ (* - (* - (* I.zy I.zy I.yz I.yz I.yy I.yy 8 I.xx * + (* 43 I.xy I.yx * I.xz I.zx * + (* 2 I.xx 2^* - I.yz I.zy * + (* + (* 18 I.xz * I.yx * I.yy - 2 I.xx * + (* + (* 27 I.xz 2^* I.yx 2^* - (* 2 I.zx I.yz 33 I.xy * I.yy - 2 I.xx * + (* I.yz * 2 I.xz 2^* I.zx * + (* I.xz I.yy 10 I.yy * 19 I.xx * - (* 53 I.xy * I.yx * - 2 I.xx 2^* + (* + (* + (* 9 I.xz 2^* I.yx * I.xx - 2 I.yy * + (* + (* I.yy I.yy I.xy I.yx * I.xx I.xx I.yy + (* + (* I.xx I.xy I.yx * 4 I.xx 2^* + (* - (* 2 I.xy I.yx * 3 I.xy * I.yx * 5 I.xx 2^* + (* I.xx 4^+ (* + (I.yz * + I.xz I.yx * I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (* - (* + (* + I.zx I.zx 3 I.xy * 3 I.yz * 3 I.xy * I.yz * - 2 I.xz * I.xx - 2 I.yy * + (* + (* 4 I.xz 2^* I.yx * + (* I.xz 2^42 I.yy * I.yy - I.xx + (* I.xz I.zx * + (* I.xx 2^+ (* + (* 2 I.xy I.yy I.yy 2 I.yy * - 3 I.xx * + (* 3 I.xx 2^3 I.xy * I.yx * - (* + (* - I.xx 9 I.xy * I.yx * 2 I.xx 2^* + (* + (I.yz * - I.xz I.yx * 6 I.xy * I.yx * I.xx 2^+ (* + (* I.xz I.yy * I.yy 25 I.xy * I.yx * I.yy I.yy - 2 I.xx * + (* - (* I.xx 2^+ (* I.xx I.xx 2^I.xy I.yx * - (* + (* + (* + (* + I.yy I.yy I.xy I.yx * I.xy I.yx * 8 I.xx 2^* + (* I.xx I.xx 3^I.yy I.xx I.yy * - 2 I.xy I.yx * I.xx 2^+ (* + (* - (* + (* - 2 I.xx * I.xy * I.yx * 5 I.xy * I.yx * I.xx 2^+ (* + (* - I.xy 2^I.yx 2^* 4 I.xy * I.yx * I.xx 2^+ (* + (- sqrt I.yy I.zz + (I.xx * - I.yx I.xy * + I.zx I.xz * + I.zz I.yy * - I.zy I.yz * + (I.xx I.yy + I.zz + (* 3 I.zz I.yy * - I.zy I.yz * + (I.xx * I.zz I.yx * I.zx I.yz * - (I.xy * + I.zy I.yx * - I.zx I.yy * + (I.xz * + (* - (3 sqrt * + (* 2 I.xx I.yy + I.zz + (3^* 32 nthroot 3^* + 3 nthroot * 3243 nthroot * / 31 sys

m 11131 sys

Calcul numérique:

70725 64915.6 - 35348.4 - 64915.6 - 695827.4 9886.7 - 35348.4 - 9886.7 - 667376.1 33 mat eigenvalues Maxima 668405.8047 61893.4469 703629.2484 11161 sys

70725 64915.6 - 35348.4 - 64915.6 - 695827.4 9886.7 - 35348.4 - 9886.7 - 667376.1 33 mat eigenvectors Maxima 668405.8047 61893.4469 703629.2484 11123 mat 1 2.2434 - 1.2462 1015 -^* i * + 12.7883 - 2.1934 1015 -^* i * + 13 mat 1 0.1033 2.4341 1015 -^* i * - 0.0601 7.9759 1016 -^* i * + 13 mat 1 10.8264 - 1.9016 1015 -^* i * + 1.9775 3.8945 1015 -^* i * - 13 mat 31 mat 12 mat

668405.8047 61893.4469 703629.2484 11123 mat 1 2.2434 - 12.7883 - 13 mat 1 0.1033 0.0601 13 mat 1 10.8264 - 1.9775 13 mat 31 mat 12 mat

70725 64915.6 - 35348.4 - 64915.6 - 695827.4 9886.7 - 35348.4 - 9886.7 - 667376.1 33 mat eigenvalues Maxima 668405.8047 61893.4469 703629.2484 11161 sys

70725 64915.6 - 35348.4 - 64915.6 - 695827.4 9886.7 - 35348.4 - 9886.7 - 667376.1 33 mat eigenvectors Maxima 668405.8047 61893.4469 703629.2484 11123 mat 1 2.2434 - 12.7883 - 13 mat 1 0.1033 0.0601 13 mat 1 10.8264 - 1.9775 13 mat 31 mat 12 mat

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat 70725.25 64915.87 - 35348.13 - 64915.87 - 695829.28 9886.63 - 35348.13 - 9886.63 - 667377.9 33 mat :

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat 43520.46 46343.33 11996.26 - 46343.33 194711.94 4417.62 - 11996.26 - 4417.62 - 191169.6 33 mat :

Calcul numérique:

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat eigenvalues Maxima 668407.59 61893.7 703631.14 11161 sys

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat eigenvectors Maxima

I.xx0 I.xy0 I.xz0 I.yx0 I.yy0 I.yz0 I.zx0 I.zy0 I.zz0 33 mat eigenvectors Maxima Re 668407.59 61893.7 703631.14 11123 mat 1 2.24 - 12.79 - 13 mat 1 0.1 0.06 13 mat 1 10.83 - 1.98 13 mat 31 mat 12 mat

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvalues Maxima 188865.33 29781.35 210755.32 11161 sys

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvectors Maxima

I.xxG I.xyG I.xzG I.yxG I.yyG I.yzG I.zxG I.zyG I.zzG 33 mat eigenvectors Maxima Re 188865.33 29781.35 210755.32 11123 mat 1 8.9 22.27 13 mat 1 0.28 - 0.07 13 mat 1 3.26 1.35 - 13 mat 31 mat 12 mat