Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 2446331200] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1346 geometric_solution 5.21882675 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 0 -1 1 1 0 -1 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 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 0.735013959620 0.199044369221 0 3 0 4 0132 0132 1023 0132 0 0 0 0 0 -1 1 0 -1 0 1 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 0 1 -1 -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 0 0 0 0.784057572715 0.958264505572 0 0 2 2 3201 0132 1230 3012 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 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 0.572854270846 0.101872339192 4 1 5 6 3201 0132 0132 0132 0 1 0 0 0 1 -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 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 0 -0.454892380225 1.313953172895 5 6 1 3 2310 2310 0132 2310 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -0.454892380225 1.313953172895 6 6 4 3 0132 3120 3201 0132 0 1 0 0 0 0 -1 1 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 0 0 0 0 0 -1 0 0 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 0.235281046837 0.679607510377 5 5 3 4 0132 3120 0132 3201 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 0 0 0 0 0 0 0 0 1 0 -1 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 0.235281046837 0.679607510377 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : 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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 71715/38*c_0110_2^10 + 201621/38*c_0110_2^9 + 318127/38*c_0110_2^8 - 646215/38*c_0110_2^7 - 496560/19*c_0110_2^6 + 406693/38*c_0110_2^5 + 1143529/38*c_0110_2^4 + 135314/19*c_0110_2^3 - 190136/19*c_0110_2^2 - 113011/19*c_0110_2 - 17190/19, c_0011_0 - 1, c_0011_4 + 235*c_0110_2^10 - 644*c_0110_2^9 - 1104*c_0110_2^8 + 2082*c_0110_2^7 + 3472*c_0110_2^6 - 1213*c_0110_2^5 - 4032*c_0110_2^4 - 1125*c_0110_2^3 + 1333*c_0110_2^2 + 876*c_0110_2 + 144, c_0011_5 + 240*c_0110_2^10 - 656*c_0110_2^9 - 1132*c_0110_2^8 + 2118*c_0110_2^7 + 3560*c_0110_2^6 - 1213*c_0110_2^5 - 4124*c_0110_2^4 - 1177*c_0110_2^3 + 1352*c_0110_2^2 + 904*c_0110_2 + 152, c_0101_0 + 5*c_0110_2^10 - 12*c_0110_2^9 - 28*c_0110_2^8 + 36*c_0110_2^7 + 88*c_0110_2^6 - 92*c_0110_2^4 - 52*c_0110_2^3 + 19*c_0110_2^2 + 28*c_0110_2 + 8, c_0101_1 - 295*c_0110_2^10 + 823*c_0110_2^9 + 1331*c_0110_2^8 - 2645*c_0110_2^7 - 4153*c_0110_2^6 + 1628*c_0110_2^5 + 4772*c_0110_2^4 + 1180*c_0110_2^3 - 1577*c_0110_2^2 - 960*c_0110_2 - 149, c_0101_3 - 1, c_0110_2^11 - 12/5*c_0110_2^10 - 28/5*c_0110_2^9 + 36/5*c_0110_2^8 + 88/5*c_0110_2^7 - 92/5*c_0110_2^5 - 52/5*c_0110_2^4 + 19/5*c_0110_2^3 + 27/5*c_0110_2^2 + 9/5*c_0110_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB