Magma V2.19-8 Tue Aug 20 2013 23:26:43 on localhost [Seed = 2362109360] Type ? for help. Type -D to quit. Loading file "L12a1402__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1402 geometric_solution 6.22115342 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 1 0 0 -1 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 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744460755462 1.018192644642 0 4 4 3 0132 0132 1302 1302 1 1 1 0 0 0 0 0 -1 0 0 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 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 0.532061765480 0.639995144189 0 0 4 5 3012 0132 0132 0132 1 1 1 0 0 0 0 0 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 1 0 -1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231883305720 0.923935878132 3 3 1 0 1230 3012 2031 0132 1 1 1 1 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 1 0 -1 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 0.366960874045 0.648056320860 1 1 5 2 2031 0132 2310 0132 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 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 0.231883305720 0.923935878132 6 4 2 6 0132 3201 0132 1023 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132867656658 0.603010967774 5 6 6 5 0132 1230 3012 1023 1 1 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 0 0 0 0 0 0 0 0 0 2.086742379170 0.727660995550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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' : 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' : 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' : negation(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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_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_3, c_0011_5, c_0101_2, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 154365/24608*c_0101_6^8 + 602705/24608*c_0101_6^7 - 3430431/12304*c_0101_6^6 + 7411577/24608*c_0101_6^5 + 2347075/6152*c_0101_6^4 - 10408597/24608*c_0101_6^3 - 4284919/12304*c_0101_6^2 + 2560651/24608*c_0101_6 + 1286155/24608, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 + 293/52292*c_0101_6^8 + 1187/26146*c_0101_6^7 - 2216/13073*c_0101_6^6 - 41631/52292*c_0101_6^5 + 109241/52292*c_0101_6^4 - 25333/26146*c_0101_6^3 + 4495/26146*c_0101_6^2 - 30525/52292*c_0101_6 + 418/13073, c_0101_2 - 623/104584*c_0101_6^8 - 7591/104584*c_0101_6^7 + 9433/104584*c_0101_6^6 + 201759/104584*c_0101_6^5 - 390313/104584*c_0101_6^4 + 26035/104584*c_0101_6^3 + 290755/104584*c_0101_6^2 + 18413/104584*c_0101_6 - 4949/26146, c_0101_3 - 471/104584*c_0101_6^8 - 4139/52292*c_0101_6^7 - 5249/104584*c_0101_6^6 + 64505/26146*c_0101_6^5 - 299197/104584*c_0101_6^4 - 174513/52292*c_0101_6^3 + 430789/104584*c_0101_6^2 + 45831/26146*c_0101_6 - 916/13073, c_0101_5 - 19/13073*c_0101_6^8 + 687/104584*c_0101_6^7 + 7341/52292*c_0101_6^6 - 56261/104584*c_0101_6^5 - 22779/26146*c_0101_6^4 + 375061/104584*c_0101_6^3 - 70017/52292*c_0101_6^2 - 164911/104584*c_0101_6 - 3117/26146, c_0101_6^9 + 4*c_0101_6^8 - 44*c_0101_6^7 + 44*c_0101_6^6 + 62*c_0101_6^5 - 56*c_0101_6^4 - 60*c_0101_6^3 + 4*c_0101_6^2 + 9*c_0101_6 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.220 seconds, Total memory usage: 32.09MB