Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 3701293543] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2433 geometric_solution 5.78073207 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.492914705237 0.318727993485 2 0 3 0 0132 2310 0132 0132 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 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.076491146119 0.606321305397 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 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 1.063772645167 0.823399791639 5 2 4 1 1023 1230 1023 0132 0 0 0 0 0 0 0 0 0 0 0 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 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 1.063772645167 0.823399791639 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386357098522 0.603499630936 6 3 2 6 0132 1023 0132 1023 0 0 0 0 0 0 -1 1 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 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 0.745012986233 0.410125371528 5 6 6 5 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.143472313862 0.440625911304 ==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' : d['1'], 's_1_2' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 79350148577/23772426570*c_0101_6^10 + 19693885976/11886213285*c_0101_6^9 + 793299107587/23772426570*c_0101_6^8 + 21508208123/7924142190*c_0101_6^7 + 341527122563/7924142190*c_0101_6^6 - 200847884054/11886213285*c_0101_6^5 - 422316646615/4754485314*c_0101_6^4 - 335778295786/11886213285*c_0101_6^3 - 130672714928/3962071095*c_0101_6^2 - 311262204779/11886213285*c_0101_6 - 46134036173/23772426570, c_0011_0 - 1, c_0011_1 + 135572/1449715*c_0101_6^10 + 92262/1449715*c_0101_6^9 + 1320942/1449715*c_0101_6^8 + 353499/1449715*c_0101_6^7 + 1368789/1449715*c_0101_6^6 - 266503/1449715*c_0101_6^5 - 728653/289943*c_0101_6^4 - 1825692/1449715*c_0101_6^3 + 942742/1449715*c_0101_6^2 - 1973618/1449715*c_0101_6 - 565163/1449715, c_0011_3 - 611642/1449715*c_0101_0*c_0101_6^10 - 79492/1449715*c_0101_0*c_0101_6^9 - 6158327/1449715*c_0101_0*c_0101_6^8 + 1741076/1449715*c_0101_0*c_0101_6^7 - 9245584/1449715*c_0101_0*c_0101_6^6 + 6522808/1449715*c_0101_0*c_0101_6^5 + 2582783/289943*c_0101_0*c_0101_6^4 + 531507/1449715*c_0101_0*c_0101_6^3 + 7513603/1449715*c_0101_0*c_0101_6^2 + 2640088/1449715*c_0101_0*c_0101_6 + 175318/1449715*c_0101_0, c_0101_0^2 - 135572/1449715*c_0101_6^10 - 92262/1449715*c_0101_6^9 - 1320942/1449715*c_0101_6^8 - 353499/1449715*c_0101_6^7 - 1368789/1449715*c_0101_6^6 + 266503/1449715*c_0101_6^5 + 728653/289943*c_0101_6^4 + 1825692/1449715*c_0101_6^3 - 942742/1449715*c_0101_6^2 + 1973618/1449715*c_0101_6 - 884552/1449715, c_0101_1 + 74882/289943*c_0101_6^10 + 40301/289943*c_0101_6^9 + 718079/289943*c_0101_6^8 + 97930/289943*c_0101_6^7 + 668657/289943*c_0101_6^6 - 150122/289943*c_0101_6^5 - 2370496/289943*c_0101_6^4 - 261378/289943*c_0101_6^3 - 135196/289943*c_0101_6^2 - 732081/289943*c_0101_6 + 129373/289943, c_0101_3 - 33626/289943*c_0101_6^10 - 7186/289943*c_0101_6^9 - 345556/289943*c_0101_6^8 + 85318/289943*c_0101_6^7 - 585110/289943*c_0101_6^6 + 516371/289943*c_0101_6^5 + 372692/289943*c_0101_6^4 + 377478/289943*c_0101_6^3 + 265113/289943*c_0101_6^2 - 42411/289943*c_0101_6 + 352654/289943, c_0101_6^11 + 10*c_0101_6^9 - 4*c_0101_6^8 + 15*c_0101_6^7 - 11*c_0101_6^6 - 21*c_0101_6^5 + 4*c_0101_6^4 - 13*c_0101_6^3 - 5*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB