Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 3229703367] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s630 geometric_solution 5.11358605 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 0 -1 -1 0 1 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 1.628275502429 0.519686230748 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 -1 1 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 -1 1 1 0 -1 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 0.733947540865 0.547529792772 4 1 5 3 0132 0132 0132 3201 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262101559964 0.729866653422 5 2 4 1 1023 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262101559964 0.729866653422 2 4 3 4 0132 2310 1023 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 1 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 0.469151715265 0.969617899863 5 3 5 2 2310 1023 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.435817167416 1.213607494475 ==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_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_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_3']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], '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_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 320*c_0101_4^14 + 903*c_0101_4^13 - 386*c_0101_4^12 + 561*c_0101_4^11 - 472*c_0101_4^10 - 3203*c_0101_4^9 + 1355*c_0101_4^8 + 2771*c_0101_4^7 + 390*c_0101_4^6 - 4077*c_0101_4^5 + 1539*c_0101_4^4 + 2884*c_0101_4^3 - 2003*c_0101_4^2 - 566*c_0101_4 + 482, c_0011_0 - 1, c_0011_3 - 328*c_0101_4^14 + 887*c_0101_4^13 - 316*c_0101_4^12 + 591*c_0101_4^11 - 410*c_0101_4^10 - 3281*c_0101_4^9 + 998*c_0101_4^8 + 2711*c_0101_4^7 + 655*c_0101_4^6 - 3945*c_0101_4^5 + 1253*c_0101_4^4 + 2891*c_0101_4^3 - 1733*c_0101_4^2 - 591*c_0101_4 + 409, c_0101_0 + 146*c_0101_4^14 - 410*c_0101_4^13 + 171*c_0101_4^12 - 255*c_0101_4^11 + 212*c_0101_4^10 + 1464*c_0101_4^9 - 597*c_0101_4^8 - 1266*c_0101_4^7 - 196*c_0101_4^6 + 1850*c_0101_4^5 - 681*c_0101_4^4 - 1320*c_0101_4^3 + 896*c_0101_4^2 + 265*c_0101_4 - 215, c_0101_1 + 178*c_0101_4^14 - 502*c_0101_4^13 + 215*c_0101_4^12 - 315*c_0101_4^11 + 264*c_0101_4^10 + 1779*c_0101_4^9 - 748*c_0101_4^8 - 1532*c_0101_4^7 - 224*c_0101_4^6 + 2261*c_0101_4^5 - 855*c_0101_4^4 - 1594*c_0101_4^3 + 1105*c_0101_4^2 + 312*c_0101_4 - 263, c_0101_2 + 231*c_0101_4^14 - 644*c_0101_4^13 + 263*c_0101_4^12 - 410*c_0101_4^11 + 327*c_0101_4^10 + 2310*c_0101_4^9 - 897*c_0101_4^8 - 1969*c_0101_4^7 - 337*c_0101_4^6 + 2893*c_0101_4^5 - 1045*c_0101_4^4 - 2061*c_0101_4^3 + 1377*c_0101_4^2 + 409*c_0101_4 - 328, c_0101_4^15 - 2*c_0101_4^14 - c_0101_4^13 - c_0101_4^12 + 11*c_0101_4^10 + 4*c_0101_4^9 - 11*c_0101_4^8 - 8*c_0101_4^7 + 11*c_0101_4^6 + 5*c_0101_4^5 - 12*c_0101_4^4 - c_0101_4^3 + 6*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB