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My Cones with Symmetry

My Cones with Symmetry - [email protected] ~ $ cd [email protected]/home $ cd...

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[email protected] ~ $ cd .. [email protected] /home $ cd HP/gfan/gfan0.4 [email protected] ~/gfan/gfan0.4 $ ./gfan _minkowskisum --symmetry Q[x_1,x_2,x_3,y_1,y_2,y_3,z_1,z_2,z_3] {-x_1*y_1*z_2*y_2*z_3*x_3+x_1*y_1*z_2*x_2*z_3*y_3+z_1*y_1*x_2*y_2*z_3*x_3-z_1*y_ 1*z_2*x_2*x_3*y_3-z_1*x_1*x_2*y_2*z_3*y_3+z_1*x_1*z_2*y_2*x_3*y_3, -x_1*y_1*z_2*y_2*y_3^2+x_1*y_1*y_2^2*z_3*y_3+z_1*y_1*x_2*y_2*y_3^2-z_1*y_1*y_2^2 *x_3*y_3-y_1^2*x_2*y_2*z_3*y_3+y_1^2*z_2*y_2*x_3*y_3, -x_1*y_1*z_2*x_2*y_3^2+x_1*y_1*y_2^2*z_3*x_3+z_1*x_1*x_2*y_2*y_3^2-z_1*x_1*y_2^2 *x_3*y_3-y_1^2*x_2*y_2*z_3*x_3+y_1^2*z_2*x_2*x_3*y_3, -z_1*y_1*z_2*x_2*y_3^2+z_1*y_1*y_2^2*z_3*x_3+z_1*x_1*z_2*y_2*y_3^2-z_1*x_1*y_2^2 *z_3*y_3-y_1^2*z_2*y_2*z_3*x_3+y_1^2*z_2*x_2*z_3*y_3, -x_1*y_1*z_2*y_2*x_3^2+x_1*y_1*x_2^2*z_3*y_3+z_1*y_1*x_2*y_2*x_3^2-z_1*y_1*x_2^2 *x_3*y_3-x_1^2*x_2*y_2*z_3*y_3+x_1^2*z_2*y_2*x_3*y_3, -x_1*y_1*z_2*x_2*x_3^2+x_1*y_1*x_2^2*z_3*x_3+z_1*x_1*x_2*y_2*x_3^2-z_1*x_1*x_2^2 *x_3*y_3-x_1^2*x_2*y_2*z_3*x_3+x_1^2*z_2*x_2*x_3*y_3, -z_1*y_1*z_2*x_2*x_3^2+z_1*y_1*x_2^2*z_3*x_3+z_1*x_1*z_2*y_2*x_3^2-z_1*x_1*x_2^2 *z_3*y_3-x_1^2*z_2*y_2*z_3*x_3+x_1^2*z_2*x_2*z_3*y_3, -x_1*y_1*y_2^2*x_3^2+x_1*y_1*x_2^2*y_3^2+y_1^2*x_2*y_2*x_3^2-y_1^2*x_2^2*x_3*y_3 -x_1^2*x_2*y_2*y_3^2+x_1^2*y_2^2*x_3*y_3, -z_1*y_1*y_2^2*x_3^2+z_1*y_1*x_2^2*y_3^2+y_1^2*z_2*y_2*x_3^2-y_1^2*x_2^2*z_3*y_3 -x_1^2*z_2*y_2*y_3^2+x_1^2*y_2^2*z_3*y_3, -z_1*x_1*y_2^2*x_3^2+z_1*x_1*x_2^2*y_3^2+y_1^2*z_2*x_2*x_3^2-y_1^2*x_2^2*z_3*x_3 -x_1^2*z_2*x_2*y_3^2+x_1^2*y_2^2*z_3*x_3, -x_1*y_1*z_2*y_2*z_3^2+x_1*y_1*z_2^2*z_3*y_3+z_1*y_1*x_2*y_2*z_3^2-z_1*y_1*z_2^2 *x_3*y_3-z_1^2*x_2*y_2*z_3*y_3+z_1^2*z_2*y_2*x_3*y_3, -x_1*y_1*z_2*x_2*z_3^2+x_1*y_1*z_2^2*z_3*x_3+z_1*x_1*x_2*y_2*z_3^2-z_1*x_1*z_2^2 *x_3*y_3-z_1^2*x_2*y_2*z_3*x_3+z_1^2*z_2*x_2*x_3*y_3, -z_1*y_1*z_2*x_2*z_3^2+z_1*y_1*z_2^2*z_3*x_3+z_1*x_1*z_2*y_2*z_3^2-z_1*x_1*z_2^2 *z_3*y_3-z_1^2*z_2*y_2*z_3*x_3+z_1^2*z_2*x_2*z_3*y_3, -x_1*y_1*y_2^2*z_3^2+x_1*y_1*z_2^2*y_3^2+y_1^2*x_2*y_2*z_3^2-y_1^2*z_2^2*x_3*y_3 -z_1^2*x_2*y_2*y_3^2+z_1^2*y_2^2*x_3*y_3, -z_1*y_1*y_2^2*z_3^2+z_1*y_1*z_2^2*y_3^2+y_1^2*z_2*y_2*z_3^2-y_1^2*z_2^2*z_3*y_3 -z_1^2*z_2*y_2*y_3^2+z_1^2*y_2^2*z_3*y_3, -z_1*x_1*y_2^2*z_3^2+z_1*x_1*z_2^2*y_3^2+y_1^2*z_2*x_2*z_3^2-y_1^2*z_2^2*z_3*x_3 -z_1^2*z_2*x_2*y_3^2+z_1^2*y_2^2*z_3*x_3, -x_1*y_1*x_2^2*z_3^2+x_1*y_1*z_2^2*x_3^2+x_1^2*x_2*y_2*z_3^2-x_1^2*z_2^2*x_3*y_3 -z_1^2*x_2*y_2*x_3^2+z_1^2*x_2^2*x_3*y_3, -z_1*y_1*x_2^2*z_3^2+z_1*y_1*z_2^2*x_3^2+x_1^2*z_2*y_2*z_3^2-x_1^2*z_2^2*z_3*y_3 -z_1^2*z_2*y_2*x_3^2+z_1^2*x_2^2*z_3*y_3, -z_1*x_1*x_2^2*z_3^2+z_1*x_1*z_2^2*x_3^2+x_1^2*z_2*x_2*z_3^2-x_1^2*z_2^2*z_3*x_3 -z_1^2*z_2*x_2*x_3^2+z_1^2*x_2^2*z_3*x_3, -y_1^2*x_2^2*z_3^2+y_1^2*z_2^2*x_3^2+x_1^2*y_2^2*z_3^2-x_1^2*z_2^2*y_3^2-z_1^2*y _2^2*x_3^2+z_1^2*x_2^2*y_3^2} {(0,2,1,3,5,4,6,8,7),(1,2,0,4,5,3,7,8,6),(0,1,2,6,7,8,3,4,5),(3,4,5,6,7,8,0,1,2)
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} LP algorithm being used: "cddgmp". _application PolyhedralFan _version 2.2 _type PolyhedralFan AMBIENT_DIM 9 DIM 9 LINEALITY_DIM 5 RAYS -4 2 2 2 -1 -1 2 -1 -1 # 0 -1 -1 2 -1 -1 2 2 2 -4 # 1 -1 -1 2 2 2 -4 -1 -1 2 # 2 -1 2 -1 -1 2 -1 2 -4 2 # 3 -1 2 -1 2 -4 2 -1 2 -1 # 4 2 -4 2 -1 2 -1 -1 2 -1 # 5 2 -1 -1 -4 2 2 2 -1 -1 # 6 2 -1 -1 2 -1 -1 -4 2 2 # 7 2 2 -4 -1 -1 2 -1 -1 2 # 8 -1 0 1 0 1 -1 1 -1 0 # 9 -1 0 1 1 -1 0 0 1 -1 # 10
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