Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 2160139708] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3538 geometric_solution 6.90972555 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329306379871 0.600671248164 0 4 0 2 0132 0132 2310 1302 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 0.298226245826 1.280070301142 4 3 1 0 0213 3012 2031 0132 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 0 0 0 0 0.770208343242 1.079808946186 2 5 0 6 1230 0132 0132 0132 0 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 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 0.580755652961 0.986525183747 2 1 6 5 0213 0132 1230 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364878297750 0.858596263194 4 3 5 5 3012 0132 2031 1302 0 0 0 0 0 -1 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 0 0 0 1 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 0 0 0.415748578148 0.790136864985 6 6 3 4 1302 2031 0132 3012 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 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 0.538702120821 1.101331178789 ==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' : 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' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_1001_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], '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_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_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_2, c_0011_3, c_0101_1, c_0101_5, c_0110_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 138687777/6093760*c_0110_5*c_1001_4^10 - 784772007/6093760*c_0110_5*c_1001_4^9 + 932251533/6093760*c_0110_5*c_1001_4^8 + 271814671/609376*c_0110_5*c_1001_4^7 - 6371050601/6093760*c_0110_5*c_1001_4^6 - 410462107/1523440*c_0110_5*c_1001_4^5 + 1636934943/1218752*c_0110_5*c_1001_4^4 + 1003835217/1218752*c_0110_5*c_1001_4^3 - 3338939959/3046880*c_0110_5*c_1001_4^2 - 5465113899/6093760*c_0110_5*c_1001_4 - 389328719/6093760*c_0110_5, c_0011_0 - 1, c_0011_2 - 22863/19043*c_1001_4^10 + 128800/19043*c_1001_4^9 - 152993/19043*c_1001_4^8 - 442038/19043*c_1001_4^7 + 1038553/19043*c_1001_4^6 + 251681/19043*c_1001_4^5 - 1314994/19043*c_1001_4^4 - 793003/19043*c_1001_4^3 + 1092137/19043*c_1001_4^2 + 842033/19043*c_1001_4 + 39220/19043, c_0011_3 + 57093/76172*c_0110_5*c_1001_4^10 - 323913/76172*c_0110_5*c_1001_4^9 + 395849/76172*c_0110_5*c_1001_4^8 + 269419/19043*c_0110_5*c_1001_4^7 - 2608655/76172*c_0110_5*c_1001_4^6 - 127040/19043*c_0110_5*c_1001_4^5 + 3150879/76172*c_0110_5*c_1001_4^4 + 1932799/76172*c_0110_5*c_1001_4^3 - 1291383/38086*c_0110_5*c_1001_4^2 - 2050583/76172*c_0110_5*c_1001_4 - 209901/76172*c_0110_5, c_0101_1 + 1, c_0101_5 + 13685/76172*c_0110_5*c_1001_4^10 - 77869/76172*c_0110_5*c_1001_4^9 + 94873/76172*c_0110_5*c_1001_4^8 + 66968/19043*c_0110_5*c_1001_4^7 - 656771/76172*c_0110_5*c_1001_4^6 - 29826/19043*c_0110_5*c_1001_4^5 + 869363/76172*c_0110_5*c_1001_4^4 + 360003/76172*c_0110_5*c_1001_4^3 - 352133/38086*c_0110_5*c_1001_4^2 - 472191/76172*c_0110_5*c_1001_4 + 18819/76172*c_0110_5, c_0110_5^2 - 925/19043*c_1001_4^10 + 6961/19043*c_1001_4^9 - 14240/19043*c_1001_4^8 - 15163/19043*c_1001_4^7 + 80120/19043*c_1001_4^6 - 29361/19043*c_1001_4^5 - 117074/19043*c_1001_4^4 + 8103/19043*c_1001_4^3 + 125897/19043*c_1001_4^2 + 22962/19043*c_1001_4 - 34272/19043, c_1001_4^11 - 5*c_1001_4^10 + 3*c_1001_4^9 + 24*c_1001_4^8 - 33*c_1001_4^7 - 42*c_1001_4^6 + 51*c_1001_4^5 + 75*c_1001_4^4 - 24*c_1001_4^3 - 71*c_1001_4^2 - 29*c_1001_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB