Magma V2.19-8 Tue Aug 20 2013 16:16:49 on localhost [Seed = 1090575764] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1094 geometric_solution 4.96049108 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2310 0132 3201 2310 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.369409156747 0.456455991526 0 0 3 2 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.604629490517 2.836375771720 4 3 1 5 0132 2031 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.101511841593 0.397036175725 2 4 6 1 1302 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550795129615 0.420276480696 2 6 6 3 0132 3012 2310 0321 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.664841623871 0.667979374779 5 5 2 6 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.339340436428 1.556180359261 4 4 5 3 1230 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231147881498 0.544467700319 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_0, c_0101_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 22993991/722453760*c_1100_1^8 - 2925863/11288340*c_1100_1^7 - 52373249/90306720*c_1100_1^6 + 212084069/103207680*c_1100_1^5 + 11317551/5733760*c_1100_1^4 - 919796423/103207680*c_1100_1^3 - 3036832501/722453760*c_1100_1^2 + 3853108561/240817920*c_1100_1 + 5472418537/722453760, c_0011_0 - 1, c_0011_2 - 66/1445*c_1100_1^8 + 137/1445*c_1100_1^7 + 332/1445*c_1100_1^6 - 1073/1445*c_1100_1^5 - 286/1445*c_1100_1^4 + 2996/1445*c_1100_1^3 - 1034/1445*c_1100_1^2 - 1923/1445*c_1100_1 - 607/1445, c_0011_3 + 21/289*c_1100_1^8 - 32/289*c_1100_1^7 - 135/289*c_1100_1^6 + 251/289*c_1100_1^5 + 397/289*c_1100_1^4 - 825/289*c_1100_1^3 - 572/289*c_1100_1^2 + 506/289*c_1100_1 + 673/289, c_0011_6 - 137/1445*c_1100_1^8 + 59/1445*c_1100_1^7 + 939/1445*c_1100_1^6 - 951/1445*c_1100_1^5 - 3172/1445*c_1100_1^4 + 2922/1445*c_1100_1^3 + 3492/1445*c_1100_1^2 - 1291/1445*c_1100_1 - 1439/1445, c_0101_0 - 121/1156*c_1100_1^8 + 21/289*c_1100_1^7 + 189/289*c_1100_1^6 - 933/1156*c_1100_1^5 - 1149/578*c_1100_1^4 + 3039/1156*c_1100_1^3 + 2615/1156*c_1100_1^2 - 1273/1156*c_1100_1 - 1059/1156, c_0101_4 + 383/2890*c_1100_1^8 - 138/1445*c_1100_1^7 - 1123/1445*c_1100_1^6 + 2949/2890*c_1100_1^5 + 3394/1445*c_1100_1^4 - 7853/2890*c_1100_1^3 - 9073/2890*c_1100_1^2 + 1249/2890*c_1100_1 + 6321/2890, c_1100_1^9 + c_1100_1^8 - 8*c_1100_1^7 - 3*c_1100_1^6 + 35*c_1100_1^5 + 7*c_1100_1^4 - 74*c_1100_1^3 - 30*c_1100_1^2 + 36*c_1100_1 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB