Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 2160139787] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m385 geometric_solution 4.81633186 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 4 0132 0132 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 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 0.473220162745 1.024721226378 0 2 1 1 0132 1302 2031 1302 0 0 0 0 0 -1 0 1 0 0 -1 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 0 -1 0 0 1 -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 0.332100790973 1.075604549020 3 0 4 1 1302 0132 2031 2031 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 0 0 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 0.628552953193 0.804339508973 3 2 3 0 2310 2031 3201 0132 0 0 0 0 0 -1 1 0 -1 0 0 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 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 0.095338648245 1.189503049525 4 4 0 2 1230 3012 0132 1302 0 0 0 0 0 0 -1 1 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 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 0.286036013636 0.471192227763 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0011_4']), '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_0101_0']), 'c_0110_4' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6009758/1453087*c_0101_1^11 - 18184099/1453087*c_0101_1^10 - 71908323/1453087*c_0101_1^9 + 260531885/1453087*c_0101_1^8 - 134745251/1453087*c_0101_1^7 - 306405797/1453087*c_0101_1^6 + 448285821/1453087*c_0101_1^5 - 123983535/1453087*c_0101_1^4 - 164823966/1453087*c_0101_1^3 + 137451505/1453087*c_0101_1^2 - 32212632/1453087*c_0101_1 + 68567/1453087, c_0011_0 - 1, c_0011_3 + 116314/1453087*c_0101_1^11 - 337924/1453087*c_0101_1^10 - 1258376/1453087*c_0101_1^9 + 4494999/1453087*c_0101_1^8 - 4456973/1453087*c_0101_1^7 - 839687/1453087*c_0101_1^6 + 9390529/1453087*c_0101_1^5 - 8049230/1453087*c_0101_1^4 - 846558/1453087*c_0101_1^3 + 3145707/1453087*c_0101_1^2 - 2308059/1453087*c_0101_1 - 298519/1453087, c_0011_4 + 33046/1453087*c_0101_1^11 + 469841/1453087*c_0101_1^10 - 1601700/1453087*c_0101_1^9 - 6539242/1453087*c_0101_1^8 + 16783344/1453087*c_0101_1^7 + 2482617/1453087*c_0101_1^6 - 23923594/1453087*c_0101_1^5 + 14306112/1453087*c_0101_1^4 + 5128263/1453087*c_0101_1^3 - 7036499/1453087*c_0101_1^2 + 1095197/1453087*c_0101_1 - 257013/1453087, c_0101_0 + 3050/14387*c_0101_1^11 - 5042/14387*c_0101_1^10 - 46325/14387*c_0101_1^9 + 74416/14387*c_0101_1^8 + 74904/14387*c_0101_1^7 - 134315/14387*c_0101_1^6 + 11569/14387*c_0101_1^5 + 50341/14387*c_0101_1^4 - 23904/14387*c_0101_1^3 - 304/14387*c_0101_1^2 - 20003/14387*c_0101_1 + 4688/14387, c_0101_1^12 - 3*c_0101_1^11 - 12*c_0101_1^10 + 43*c_0101_1^9 - 22*c_0101_1^8 - 51*c_0101_1^7 + 75*c_0101_1^6 - 19*c_0101_1^5 - 30*c_0101_1^4 + 22*c_0101_1^3 - 3*c_0101_1^2 - c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB