Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3170705500] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0647 geometric_solution 4.63361527 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 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 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 -0.669128066490 0.115756946672 0 0 2 2 0132 3201 2310 0132 0 0 0 0 0 1 -1 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 1 -2 1 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 2.042546390841 0.728510319381 3 1 1 3 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.091289657966 0.533889190753 2 4 5 2 0132 0132 0132 1023 0 0 0 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 0 0 1 -1 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390075534871 0.244931699476 5 3 5 6 2031 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.651129343670 0.719542736014 4 6 4 3 2103 2310 1302 0132 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 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 0.651129343670 0.719542736014 6 6 4 5 1230 3012 0132 3201 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 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 1.308567888302 0.764080068355 ==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' : 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' : 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' : 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_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0011_5'], '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_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 31607150551/969105450*c_0101_6^10 - 1068205034/96910545*c_0101_6^9 + 237590890847/969105450*c_0101_6^8 + 244417705387/323035150*c_0101_6^7 + 402316406936/484552725*c_0101_6^6 - 291615802216/96910545*c_0101_6^5 + 3250631242961/969105450*c_0101_6^4 - 626729187809/484552725*c_0101_6^3 - 471288965293/484552725*c_0101_6^2 + 312216963217/323035150*c_0101_6 - 207548547859/969105450, c_0011_0 - 1, c_0011_2 + 243804083/969105450*c_0101_6^10 + 65431859/193821090*c_0101_6^9 - 775388663/484552725*c_0101_6^8 - 2441952271/323035150*c_0101_6^7 - 13305752351/969105450*c_0101_6^6 + 2175495391/193821090*c_0101_6^5 - 5133688469/484552725*c_0101_6^4 - 336184703/484552725*c_0101_6^3 + 2536308194/484552725*c_0101_6^2 + 420373339/323035150*c_0101_6 + 282181936/484552725, c_0011_5 + 4335207/64607030*c_0101_1*c_0101_6^10 + 1033937/12921406*c_0101_1*c_0101_6^9 - 13756757/32303515*c_0101_1*c_0101_6^8 - 124951067/64607030*c_0101_1*c_0101_6^7 - 221699209/64607030*c_0101_1*c_0101_6^6 + 40805899/12921406*c_0101_1*c_0101_6^5 - 134736491/32303515*c_0101_1*c_0101_6^4 + 2572328/32303515*c_0101_1*c_0101_6^3 - 27343769/32303515*c_0101_1*c_0101_6^2 + 45008593/64607030*c_0101_1*c_0101_6 + 14700904/32303515*c_0101_1, c_0011_6 - 135450341/969105450*c_0101_1*c_0101_6^10 - 20882614/96910545*c_0101_1*c_0101_6^9 + 811335577/969105450*c_0101_1*c_0101_6^8 + 1411748517/323035150*c_0101_1*c_0101_6^7 + 4144236826/484552725*c_0101_1*c_0101_6^6 - 427340411/96910545*c_0101_1*c_0101_6^5 + 5006792851/969105450*c_0101_1*c_0101_6^4 + 477253106/484552725*c_0101_1*c_0101_6^3 + 16279312/484552725*c_0101_1*c_0101_6^2 - 472694803/323035150*c_0101_1*c_0101_6 - 224709269/969105450*c_0101_1, c_0101_0 - 243804083/969105450*c_0101_1*c_0101_6^10 - 65431859/193821090*c_0101_1*c_0101_6^9 + 775388663/484552725*c_0101_1*c_0101_6^8 + 2441952271/323035150*c_0101_1*c_0101_6^7 + 13305752351/969105450*c_0101_1*c_0101_6^6 - 2175495391/193821090*c_0101_1*c_0101_6^5 + 5133688469/484552725*c_0101_1*c_0101_6^4 + 336184703/484552725*c_0101_1*c_0101_6^3 - 2536308194/484552725*c_0101_1*c_0101_6^2 - 420373339/323035150*c_0101_1*c_0101_6 + 202370789/484552725*c_0101_1, c_0101_1^2 - 504519722/484552725*c_0101_6^10 - 305611807/193821090*c_0101_6^9 + 6266126693/969105450*c_0101_6^8 + 5245295964/161517575*c_0101_6^7 + 59647484143/969105450*c_0101_6^6 - 7528513043/193821090*c_0101_6^5 + 32425236659/969105450*c_0101_6^4 + 9482170804/484552725*c_0101_6^3 - 11952927817/484552725*c_0101_6^2 - 1230783201/161517575*c_0101_6 - 2451671371/969105450, c_0101_6^11 + c_0101_6^10 - 7*c_0101_6^9 - 28*c_0101_6^8 - 43*c_0101_6^7 + 68*c_0101_6^6 - 51*c_0101_6^5 - 3*c_0101_6^4 + 34*c_0101_6^3 - 5*c_0101_6^2 - 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB