Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 3120047477] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0371 geometric_solution 4.42616234 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 -1 1 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 1 0 -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 2.175189033702 0.413026157518 0 2 2 0 0132 0132 3201 3201 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 -1 0 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 -0.213317694536 0.983861797978 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -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 -0.364078867980 0.257001033040 4 4 5 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 1.359158673352 1.630144949469 3 3 2 5 1230 3012 0132 0132 0 0 0 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 0 0 0 0 0 -1 1 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 1.359158673352 1.630144949469 6 6 4 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 1 0 -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 0 -0.209402459691 0.451978041202 5 6 5 6 0132 1302 2310 2031 0 0 0 0 0 1 -1 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 -1 1 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 0.013602095190 2.199977202664 ==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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], '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_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 6305663081/1027760784*c_1100_2^9 - 171877264861/3083282352*c_1100_2^8 + 307788320773/3083282352*c_1100_2^7 + 380648945833/3083282352*c_1100_2^6 - 659129395111/1027760784*c_1100_2^5 + 152416080626/192705147*c_1100_2^4 + 448852184/64235049*c_1100_2^3 - 817982912599/770820588*c_1100_2^2 + 218570127731/192705147*c_1100_2 - 26534230729/64235049, c_0011_0 - 1, c_0011_3 - 85010791/171293464*c_1100_2^9 + 2177872361/513880392*c_1100_2^8 - 3066105971/513880392*c_1100_2^7 - 5969505287/513880392*c_1100_2^6 + 7563525661/171293464*c_1100_2^5 - 2942555015/64235049*c_1100_2^4 - 947344719/85646732*c_1100_2^3 + 4558115962/64235049*c_1100_2^2 - 4193391947/64235049*c_1100_2 + 451902103/21411683, c_0011_5 - 43401587/85646732*c_1100_2^9 + 269949778/64235049*c_1100_2^8 - 330820150/64235049*c_1100_2^7 - 1592818007/128470098*c_1100_2^6 + 887271811/21411683*c_1100_2^5 - 10060926893/256940196*c_1100_2^4 - 644814887/42823366*c_1100_2^3 + 4181641960/64235049*c_1100_2^2 - 3519539480/64235049*c_1100_2 + 337081989/21411683, c_0101_0 + 43608327/171293464*c_1100_2^9 - 345269071/171293464*c_1100_2^8 + 313785959/171293464*c_1100_2^7 + 1169185527/171293464*c_1100_2^6 - 3038607903/171293464*c_1100_2^5 + 1142420215/85646732*c_1100_2^4 + 432370549/42823366*c_1100_2^3 - 1141858427/42823366*c_1100_2^2 + 399262145/21411683*c_1100_2 - 104200709/21411683, c_0101_1 - 25045/882956*c_1100_2^9 + 147551/2648868*c_1100_2^8 + 747673/662217*c_1100_2^7 - 1261763/662217*c_1100_2^6 - 630592/220739*c_1100_2^5 + 27160691/2648868*c_1100_2^4 - 7690067/882956*c_1100_2^3 - 4115884/662217*c_1100_2^2 + 10632140/662217*c_1100_2 - 1889815/220739, c_0101_3 - 54441989/85646732*c_1100_2^9 + 346137034/64235049*c_1100_2^8 - 1901951713/256940196*c_1100_2^7 - 3753208087/256940196*c_1100_2^6 + 4732512371/85646732*c_1100_2^5 - 7502118325/128470098*c_1100_2^4 - 1091321357/85646732*c_1100_2^3 + 5710937848/64235049*c_1100_2^2 - 5355351713/64235049*c_1100_2 + 591327013/21411683, c_1100_2^10 - 29/3*c_1100_2^9 + 65/3*c_1100_2^8 + 29/3*c_1100_2^7 - 115*c_1100_2^6 + 580/3*c_1100_2^5 - 84*c_1100_2^4 - 500/3*c_1100_2^3 + 880/3*c_1100_2^2 - 192*c_1100_2 + 48 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB