Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 2631729297] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s534 geometric_solution 4.94517196 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 -1 1 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 -0.115668040917 0.932191332950 0 1 2 1 0132 1302 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618340575885 0.767571321226 1 0 3 4 2310 0132 1023 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.115668040917 0.932191332950 5 5 2 0 0132 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.242611102586 0.464978044319 4 4 0 2 1230 3012 0132 1023 0 0 0 0 0 -1 1 0 1 0 0 -1 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 1 -1 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.437519907249 1.613403890818 3 5 3 5 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.061054610191 2.088711053901 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_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_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_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2513527956889/16783213558243*c_1100_0^8 + 22701708092462/16783213558243*c_1100_0^7 + 290903456118907/50349640674729*c_1100_0^6 + 624875947062358/50349640674729*c_1100_0^5 + 535444055773321/50349640674729*c_1100_0^4 - 1582102112597771/50349640674729*c_1100_0^3 - 1116871255626870/16783213558243*c_1100_0^2 + 3339769382338847/50349640674729*c_1100_0 + 36200254371932/4577240061339, c_0011_0 - 1, c_0011_3 - 10251148643/1525746687113*c_1100_0^8 - 94531672160/1525746687113*c_1100_0^7 - 422151228054/1525746687113*c_1100_0^6 - 989340013759/1525746687113*c_1100_0^5 - 1149017428271/1525746687113*c_1100_0^4 + 1567098759033/1525746687113*c_1100_0^3 + 4607139240617/1525746687113*c_1100_0^2 - 1497457590281/1525746687113*c_1100_0 - 140093362396/138704244283, c_0011_4 + 592225603/1525746687113*c_1100_0^8 + 259733195/1525746687113*c_1100_0^7 - 17302708061/1525746687113*c_1100_0^6 - 112044494800/1525746687113*c_1100_0^5 - 277708089897/1525746687113*c_1100_0^4 - 463143194966/1525746687113*c_1100_0^3 + 708167399007/1525746687113*c_1100_0^2 + 1437981716064/1525746687113*c_1100_0 - 14384103246/138704244283, c_0101_0 - 4824002697/1525746687113*c_1100_0^8 - 47206823274/1525746687113*c_1100_0^7 - 224240131573/1525746687113*c_1100_0^6 - 583123501009/1525746687113*c_1100_0^5 - 840057670149/1525746687113*c_1100_0^4 + 343327674298/1525746687113*c_1100_0^3 + 2439498601246/1525746687113*c_1100_0^2 + 31185265385/1525746687113*c_1100_0 - 136275058969/138704244283, c_0101_1 + 3623284255/1525746687113*c_1100_0^8 + 32031281310/1525746687113*c_1100_0^7 + 142279790033/1525746687113*c_1100_0^6 + 337654411550/1525746687113*c_1100_0^5 + 407376835827/1525746687113*c_1100_0^4 - 569994570941/1525746687113*c_1100_0^3 - 1596805047863/1525746687113*c_1100_0^2 + 170848866420/1525746687113*c_1100_0 - 50406086836/138704244283, c_1100_0^9 + 9*c_1100_0^8 + 38*c_1100_0^7 + 79*c_1100_0^6 + 57*c_1100_0^5 - 237*c_1100_0^4 - 461*c_1100_0^3 + 513*c_1100_0^2 + 165*c_1100_0 - 121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB