Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 2496989614] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2381 geometric_solution 5.74753719 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 1 0 -1 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 0.225611924592 0.394180856260 0 4 0 5 0132 0132 1023 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 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 0.151072059775 0.873239527042 5 0 3 3 1302 0132 2310 1230 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 -1 1 0 0 0 1 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247856665211 1.561985914490 2 2 0 4 3012 3201 0132 1302 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 -2 1 1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247856665211 1.561985914490 5 1 3 6 3120 0132 2031 0132 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 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 1.160899688783 0.935212023531 6 2 1 4 1023 2031 0132 3120 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.160899688783 0.935212023531 6 5 4 6 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 -1 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.477615684048 0.420828860498 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), '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_0'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), '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' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_5']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1882037/2362912*c_0101_6^15 - 698627/590728*c_0101_6^13 - 6328753/1181456*c_0101_6^11 - 16015533/2362912*c_0101_6^9 + 48191721/1181456*c_0101_6^7 - 54715883/2362912*c_0101_6^5 + 22186385/1181456*c_0101_6^3 - 6240947/295364*c_0101_6, c_0011_0 - 1, c_0011_3 - 55087/590728*c_0101_6^15 + 25885/295364*c_0101_6^13 + 194533/295364*c_0101_6^11 + 683939/590728*c_0101_6^9 - 608803/147682*c_0101_6^7 + 424337/590728*c_0101_6^5 - 116651/73841*c_0101_6^3 + 131274/73841*c_0101_6, c_0011_5 - 14135/295364*c_0101_6^14 + 12875/147682*c_0101_6^12 + 46581/147682*c_0101_6^10 + 100135/295364*c_0101_6^8 - 193871/73841*c_0101_6^6 + 480153/295364*c_0101_6^4 - 117255/73841*c_0101_6^2 + 95031/73841, c_0101_0 - 1057/7204*c_0101_6^14 + 671/3602*c_0101_6^12 + 3627/3602*c_0101_6^10 + 10365/7204*c_0101_6^8 - 12672/1801*c_0101_6^6 + 24515/7204*c_0101_6^4 - 6376/1801*c_0101_6^2 + 5005/1801, c_0101_1 + 12883/295364*c_0101_6^15 - 6455/73841*c_0101_6^13 - 42779/147682*c_0101_6^11 - 53235/295364*c_0101_6^9 + 395707/147682*c_0101_6^7 - 601009/295364*c_0101_6^5 - 31397/147682*c_0101_6^3 - 89210/73841*c_0101_6, c_0101_4 + 1, c_0101_6^16 - 2*c_0101_6^14 - 6*c_0101_6^12 - 5*c_0101_6^10 + 56*c_0101_6^8 - 55*c_0101_6^6 + 36*c_0101_6^4 - 40*c_0101_6^2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB