Magma V2.19-8 Tue Aug 20 2013 16:17:59 on localhost [Seed = 3229703174] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2221 geometric_solution 5.66423699 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0321 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 -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 0.495745303755 1.133975158101 0 4 0 2 0132 0132 0321 2103 0 0 0 0 0 0 1 -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 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 0.578908245724 0.208747238081 5 0 3 1 0132 0132 1302 2103 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 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 0.451752971587 0.816942832935 2 6 0 4 2031 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.109462689182 0.521048870626 6 1 5 3 3201 0132 1023 0213 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 0.732928768172 0.426526560504 2 6 4 6 0132 3201 1023 1230 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 -1 0 1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526246771027 0.687194065792 5 3 5 4 3012 0132 2310 2310 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 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 -1.231069847923 1.468478014583 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0110_3']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0110_3'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0110_3']})} 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_0101_0, c_0101_4, c_0101_5, c_0110_3, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 22169762/10324195*c_1001_1^8 - 220926641/10324195*c_1001_1^7 + 6519862/106435*c_1001_1^6 - 222417778/2064839*c_1001_1^5 + 13991596/106435*c_1001_1^4 - 156779829/2064839*c_1001_1^3 - 1016533548/10324195*c_1001_1^2 + 2197800651/10324195*c_1001_1 - 958608181/10324195, c_0011_0 - 1, c_0011_3 + 844918/6784471*c_1001_1^8 - 7313846/6784471*c_1001_1^7 + 149618/69943*c_1001_1^6 - 23163099/6784471*c_1001_1^5 + 212002/69943*c_1001_1^4 - 2288033/6784471*c_1001_1^3 - 41460671/6784471*c_1001_1^2 + 23220960/6784471*c_1001_1 + 10645640/6784471, c_0101_0 + 804376/6784471*c_1001_1^8 - 6776292/6784471*c_1001_1^7 + 126057/69943*c_1001_1^6 - 19319505/6784471*c_1001_1^5 + 176549/69943*c_1001_1^4 - 3446334/6784471*c_1001_1^3 - 31520908/6784471*c_1001_1^2 + 6737001/6784471*c_1001_1 + 10149007/6784471, c_0101_4 - 258601/6784471*c_1001_1^8 + 1903329/6784471*c_1001_1^7 - 18631/69943*c_1001_1^6 + 3388178/6784471*c_1001_1^5 + 1108/69943*c_1001_1^4 - 1451126/6784471*c_1001_1^3 + 9851727/6784471*c_1001_1^2 + 8339509/6784471*c_1001_1 - 1996913/6784471, c_0101_5 + 844918/6784471*c_1001_1^8 - 7313846/6784471*c_1001_1^7 + 149618/69943*c_1001_1^6 - 23163099/6784471*c_1001_1^5 + 212002/69943*c_1001_1^4 - 2288033/6784471*c_1001_1^3 - 41460671/6784471*c_1001_1^2 + 23220960/6784471*c_1001_1 + 3861169/6784471, c_0110_3 - 1325566/6784471*c_1001_1^8 + 10835302/6784471*c_1001_1^7 - 178862/69943*c_1001_1^6 + 26316306/6784471*c_1001_1^5 - 166441/69943*c_1001_1^4 - 11953332/6784471*c_1001_1^3 + 70861997/6784471*c_1001_1^2 - 16693748/6784471*c_1001_1 - 16901993/6784471, c_1001_1^9 - 9*c_1001_1^8 + 20*c_1001_1^7 - 32*c_1001_1^6 + 31*c_1001_1^5 - 6*c_1001_1^4 - 54*c_1001_1^3 + 52*c_1001_1^2 - c_1001_1 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB