Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 3768679426] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0562 geometric_solution 4.57885370 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.401723498354 0.184261387353 0 2 2 0 0132 0132 3201 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 -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 -0.821333188184 0.455778661225 1 1 3 3 2310 0132 0132 3201 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 1 1 -2 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 0.278771608756 0.379041712253 4 2 5 2 0132 2310 0132 0132 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 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.395664784279 0.584552962003 3 5 5 6 0132 0213 2310 0132 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 -1 0 1 0 0 -1 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298054537551 0.752590707775 6 4 4 3 1023 3201 0213 0132 0 0 0 0 0 0 1 -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 1 -1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298054537551 0.752590707775 6 5 4 6 3201 1023 0132 2310 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 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.454885864066 1.148591386018 ==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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], '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_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), '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_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 64442/983*c_0101_2*c_0101_3^7 - 222151/983*c_0101_2*c_0101_3^6 + 91618/983*c_0101_2*c_0101_3^5 - 726235/983*c_0101_2*c_0101_3^4 + 2321094/983*c_0101_2*c_0101_3^3 - 436322/983*c_0101_2*c_0101_3^2 + 724339/983*c_0101_2*c_0101_3 - 370552/983*c_0101_2, c_0011_0 - 1, c_0011_3 + 156/983*c_0101_3^7 - 246/983*c_0101_3^6 + 28/983*c_0101_3^5 - 1903/983*c_0101_3^4 + 1712/983*c_0101_3^3 - 777/983*c_0101_3^2 + 426/983*c_0101_3 + 455/983, c_0011_5 - 166/983*c_0101_2*c_0101_3^7 + 413/983*c_0101_2*c_0101_3^6 - 55/983*c_0101_2*c_0101_3^5 + 2088/983*c_0101_2*c_0101_3^4 - 4065/983*c_0101_2*c_0101_3^3 - 194/983*c_0101_2*c_0101_3^2 - 2873/983*c_0101_2*c_0101_3 - 648/983*c_0101_2, c_0101_0 - 130/983*c_0101_2*c_0101_3^7 + 205/983*c_0101_2*c_0101_3^6 + 632/983*c_0101_2*c_0101_3^5 + 1422/983*c_0101_2*c_0101_3^4 - 2082/983*c_0101_2*c_0101_3^3 - 7708/983*c_0101_2*c_0101_3^2 - 3304/983*c_0101_2*c_0101_3 - 2509/983*c_0101_2, c_0101_1 + 93/983*c_0101_3^7 + 118/983*c_0101_3^6 - 437/983*c_0101_3^5 - 1229/983*c_0101_3^4 - 2004/983*c_0101_3^3 + 3034/983*c_0101_3^2 + 443/983*c_0101_3 + 517/983, c_0101_2^2 + 164/983*c_0101_3^7 - 183/983*c_0101_3^6 - 147/983*c_0101_3^5 - 2051/983*c_0101_3^4 + 842/983*c_0101_3^3 + 393/983*c_0101_3^2 + 221/983*c_0101_3 - 177/983, c_0101_3^8 - 3*c_0101_3^7 - 11*c_0101_3^5 + 31*c_0101_3^4 + 8*c_0101_3^3 + 12*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB