Magma V2.19-8 Tue Aug 20 2013 16:16:37 on localhost [Seed = 374835919] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0914 geometric_solution 4.80873834 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 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 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 0.369695597738 0.083857217959 2 0 2 0 0132 0132 2310 1023 0 0 0 0 0 1 -1 0 0 0 1 -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 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 -1.132461246982 1.835279351001 1 1 3 4 0132 3201 0132 0132 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 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 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 0.107564868426 0.945298806632 5 4 4 2 0132 1023 2031 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 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275916832849 0.766485478902 3 5 2 3 1023 2310 0132 1302 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 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 0.275916832849 0.766485478902 3 6 6 4 0132 0132 3201 3201 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 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 0 0 0 -0.192001699447 0.788628696490 5 5 6 6 2310 0132 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 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 2.235384356580 0.484492407533 ==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' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : 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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_2']})} 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_1, c_0101_2, c_0101_3, c_0101_6, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 1351*c_0110_0^23 - 1352*c_0110_0^22 + 23899*c_0110_0^21 + 23818*c_0110_0^20 - 180920*c_0110_0^19 - 177967*c_0110_0^18 + 766234*c_0110_0^17 + 733920*c_0110_0^16 - 1996629*c_0110_0^15 - 1826429*c_0110_0^14 + 3328422*c_0110_0^13 + 2833934*c_0110_0^12 - 3593201*c_0110_0^11 - 2766055*c_0110_0^10 + 2493739*c_0110_0^9 + 1702766*c_0110_0^8 - 1075960*c_0110_0^7 - 660687*c_0110_0^6 + 271550*c_0110_0^5 + 152893*c_0110_0^4 - 41954*c_0110_0^3 - 18973*c_0110_0^2 + 2619*c_0110_0 + 953, c_0011_0 - 1, c_0011_3 - 2*c_0110_0^22 + 36*c_0110_0^20 - 279*c_0110_0^18 + 2*c_0110_0^17 + 1218*c_0110_0^16 - 28*c_0110_0^15 - 3293*c_0110_0^14 + 155*c_0110_0^13 + 5720*c_0110_0^12 - 434*c_0110_0^11 - 6432*c_0110_0^10 + 653*c_0110_0^9 + 4631*c_0110_0^8 - 518*c_0110_0^7 - 2086*c_0110_0^6 + 201*c_0110_0^5 + 570*c_0110_0^4 - 38*c_0110_0^3 - 88*c_0110_0^2 + 5*c_0110_0 + 5, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 + c_0110_0^2 - 1, c_0101_3 - c_0110_0^6 + 5*c_0110_0^4 - 6*c_0110_0^2 + 1, c_0101_6 - 2*c_0110_0^23 + 2*c_0110_0^22 + 39*c_0110_0^21 - 37*c_0110_0^20 - 331*c_0110_0^19 + 298*c_0110_0^18 + 1600*c_0110_0^17 - 1372*c_0110_0^16 - 4838*c_0110_0^15 + 3982*c_0110_0^14 + 9465*c_0110_0^13 - 7566*c_0110_0^12 - 12000*c_0110_0^11 + 9449*c_0110_0^10 + 9664*c_0110_0^9 - 7579*c_0110_0^8 - 4796*c_0110_0^7 + 3727*c_0110_0^6 + 1449*c_0110_0^5 - 1078*c_0110_0^4 - 265*c_0110_0^3 + 191*c_0110_0^2 + 16*c_0110_0 - 12, c_0110_0^24 - 19*c_0110_0^22 + 157*c_0110_0^20 - c_0110_0^19 - 740*c_0110_0^18 + 15*c_0110_0^17 + 2194*c_0110_0^16 - 91*c_0110_0^15 - 4260*c_0110_0^14 + 288*c_0110_0^13 + 5479*c_0110_0^12 - 511*c_0110_0^11 - 4636*c_0110_0^10 + 507*c_0110_0^9 + 2535*c_0110_0^8 - 266*c_0110_0^7 - 879*c_0110_0^6 + 71*c_0110_0^5 + 189*c_0110_0^4 - 14*c_0110_0^3 - 22*c_0110_0^2 + c_0110_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB