Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 1797977961] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s416 geometric_solution 4.68390007 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 1230 3012 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245103765551 0.151542506534 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 1 0 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 2.160177677291 1.728587568712 3 1 1 4 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 -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 0.502241014425 0.522529738498 2 4 4 5 0132 0321 1302 0132 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 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 0.655579380897 0.754634999124 3 5 2 3 2031 2310 0132 0321 0 0 0 0 0 0 -1 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 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 0.655579380897 0.754634999124 5 5 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501199000277 0.476512878379 ==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' : 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_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_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' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_4'], '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' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], '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' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 64978643/21730*c_0101_1^21 + 1087477553/21730*c_0101_1^20 - 7557895007/21730*c_0101_1^19 + 5400348843/4346*c_0101_1^18 - 45318569021/21730*c_0101_1^17 - 1989966777/10865*c_0101_1^16 + 73504059846/10865*c_0101_1^15 - 36943981155/4346*c_0101_1^14 - 46161720711/10865*c_0101_1^13 + 352201367989/21730*c_0101_1^12 - 99900835981/21730*c_0101_1^11 - 295662203631/21730*c_0101_1^10 + 178552780413/21730*c_0101_1^9 + 70033138003/10865*c_0101_1^8 - 22224665969/4346*c_0101_1^7 - 24378729289/10865*c_0101_1^6 + 35885657071/21730*c_0101_1^5 + 17854593281/21730*c_0101_1^4 - 2796393577/10865*c_0101_1^3 - 5043620113/21730*c_0101_1^2 + 269317/265*c_0101_1 + 439647701/21730, c_0011_0 - 1, c_0011_2 - c_0101_1^2 + c_0101_1 + 1, c_0011_4 + c_0101_1^3 - 2*c_0101_1^2 - c_0101_1 + 1, c_0011_5 - 120459/2173*c_0101_1^21 + 2015401/2173*c_0101_1^20 - 14000360/2173*c_0101_1^19 + 49975511/2173*c_0101_1^18 - 83685454/2173*c_0101_1^17 - 8065682/2173*c_0101_1^16 + 272899302/2173*c_0101_1^15 - 340893014/2173*c_0101_1^14 - 174513339/2173*c_0101_1^13 + 653939237/2173*c_0101_1^12 - 180932331/2173*c_0101_1^11 - 552557445/2173*c_0101_1^10 + 329525308/2173*c_0101_1^9 + 263638071/2173*c_0101_1^8 - 206462897/2173*c_0101_1^7 - 92034406/2173*c_0101_1^6 + 66839234/2173*c_0101_1^5 + 33551778/2173*c_0101_1^4 - 10355600/2173*c_0101_1^3 - 9466660/2173*c_0101_1^2 + 469/53*c_0101_1 + 825911/2173, c_0101_0 + 117057/2173*c_0101_1^21 - 1959933/2173*c_0101_1^20 + 13630671/2173*c_0101_1^19 - 48757315/2173*c_0101_1^18 + 82102388/2173*c_0101_1^17 + 6135564/2173*c_0101_1^16 - 263838816/2173*c_0101_1^15 + 333493242/2173*c_0101_1^14 + 163537225/2173*c_0101_1^13 - 632696952/2173*c_0101_1^12 + 181586063/2173*c_0101_1^11 + 530336833/2173*c_0101_1^10 - 321848822/2173*c_0101_1^9 - 251213876/2173*c_0101_1^8 + 200239073/2173*c_0101_1^7 + 87428983/2173*c_0101_1^6 - 64733524/2173*c_0101_1^5 - 32042201/2173*c_0101_1^4 + 10109133/2173*c_0101_1^3 + 9080938/2173*c_0101_1^2 - 1150/53*c_0101_1 - 793487/2173, c_0101_1^22 - 16*c_0101_1^21 + 104*c_0101_1^20 - 330*c_0101_1^19 + 392*c_0101_1^18 + 573*c_0101_1^17 - 2214*c_0101_1^16 + 1175*c_0101_1^15 + 3509*c_0101_1^14 - 4363*c_0101_1^13 - 2458*c_0101_1^12 + 5672*c_0101_1^11 + 614*c_0101_1^10 - 4177*c_0101_1^9 + 115*c_0101_1^8 + 2011*c_0101_1^7 + 3*c_0101_1^6 - 682*c_0101_1^5 - 117*c_0101_1^4 + 141*c_0101_1^3 + 57*c_0101_1^2 - 7*c_0101_1 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB