Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 1916006032] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0597 geometric_solution 4.60976821 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 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 -1 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 0.932453848451 0.395579861051 0 0 1 1 0132 3201 2031 1302 0 0 0 0 0 0 1 -1 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626325253196 0.172391675814 3 0 4 4 3120 0132 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189840301737 0.931349457429 5 5 0 2 0132 3201 0132 3120 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 -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 0.189840301737 0.931349457429 2 6 2 6 2310 0132 0132 2310 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 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 -1.187190175685 1.518126816212 3 6 3 6 0132 3201 2310 1023 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 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 -1.187190175685 1.518126816212 4 4 5 5 3201 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255734433406 0.121811777704 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_4, c_0101_0, c_0101_1, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 359249911/63576393728*c_0110_6^15 + 450432155/63576393728*c_0110_6^13 + 36219214903/63576393728*c_0110_6^11 + 81824456113/31788196864*c_0110_6^9 + 14713986657/3973524608*c_0110_6^7 + 899791785/124172644*c_0110_6^5 - 702318791/62086322*c_0110_6^3 - 1167028239/124172644*c_0110_6, c_0011_0 - 1, c_0011_3 - 614825/7947049216*c_0110_6^14 - 94073/7947049216*c_0110_6^12 + 65854655/7947049216*c_0110_6^10 + 95468227/1986762304*c_0110_6^8 + 92379169/1986762304*c_0110_6^6 - 3396150/31043161*c_0110_6^4 - 3141473/31043161*c_0110_6^2 - 11478808/31043161, c_0011_4 - 614825/7947049216*c_0110_6^14 - 94073/7947049216*c_0110_6^12 + 65854655/7947049216*c_0110_6^10 + 95468227/1986762304*c_0110_6^8 + 92379169/1986762304*c_0110_6^6 - 3396150/31043161*c_0110_6^4 - 3141473/31043161*c_0110_6^2 - 11478808/31043161, c_0101_0 - 20296375/31788196864*c_0110_6^15 + 32245807/31788196864*c_0110_6^13 + 2051874523/31788196864*c_0110_6^11 + 4253319275/15894098432*c_0110_6^9 + 281105057/993381152*c_0110_6^7 + 554999671/993381152*c_0110_6^5 - 52524025/31043161*c_0110_6^3 - 32721691/31043161*c_0110_6, c_0101_1 + 2881895/15894098432*c_0110_6^14 - 8122835/15894098432*c_0110_6^12 - 285646743/15894098432*c_0110_6^10 - 436227545/7947049216*c_0110_6^8 + 42651697/1986762304*c_0110_6^6 + 17865271/496690576*c_0110_6^4 + 131439969/124172644*c_0110_6^2 - 2631182/31043161, c_0101_4 - 1315591/15894098432*c_0110_6^15 - 4448199/15894098432*c_0110_6^13 + 149120361/15894098432*c_0110_6^11 + 301352087/3973524608*c_0110_6^9 + 694083381/3973524608*c_0110_6^7 + 75751493/993381152*c_0110_6^5 - 57333001/248345288*c_0110_6^3 - 82509557/62086322*c_0110_6, c_0110_6^16 - c_0110_6^14 - 101*c_0110_6^12 - 482*c_0110_6^10 - 784*c_0110_6^8 - 1440*c_0110_6^6 + 1920*c_0110_6^4 + 2560*c_0110_6^2 + 2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB