Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 2951623548] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1328 geometric_solution 5.21032042 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.938154556456 0.268949524710 0 4 3 4 0132 0132 3012 0213 1 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 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 0.726657756110 0.653433089649 5 0 5 0 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900769631579 0.124720632614 6 1 6 0 0132 1230 3012 0132 0 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 0 0 0 0 0 0 1 -1 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 0.726657756110 0.653433089649 6 1 6 1 2310 0132 2031 0213 1 0 0 0 0 1 0 -1 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 -1 1 -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 0.726657756110 0.653433089649 2 2 5 5 0132 3201 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 0.688220401849 0.118755566053 3 3 4 4 0132 1230 3201 1302 0 0 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 0 0 0 0 0 0 0 0 1 0 -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 0.544842066256 1.302461813650 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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_0011_0']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), '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_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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_5']})} 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_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 41217/50624*c_0101_5^8 + 101197/25312*c_0101_5^7 - 16215/7232*c_0101_5^6 - 171257/12656*c_0101_5^5 + 452643/50624*c_0101_5^4 + 302213/12656*c_0101_5^3 + 28701/3616*c_0101_5^2 - 37789/3616*c_0101_5 - 335607/50624, c_0011_0 - 1, c_0011_3 + 1, c_0101_0 - 106/113*c_0101_5^8 + 596/113*c_0101_5^7 - 776/113*c_0101_5^6 - 853/113*c_0101_5^5 + 1206/113*c_0101_5^4 + 1972/113*c_0101_5^3 + 392/113*c_0101_5^2 - 786/113*c_0101_5 - 536/113, c_0101_1 - 5/113*c_0101_5^8 - 6/113*c_0101_5^7 + 183/113*c_0101_5^6 - 440/113*c_0101_5^5 - 22/113*c_0101_5^4 + 690/113*c_0101_5^3 + 285/113*c_0101_5^2 - 278/113*c_0101_5 - 279/113, c_0101_2 - 27/226*c_0101_5^8 + 171/226*c_0101_5^7 - 150/113*c_0101_5^6 - 58/113*c_0101_5^5 + 627/226*c_0101_5^4 - 3/226*c_0101_5^3 - 269/226*c_0101_5^2 + 13/226*c_0101_5 + 49/113, c_0101_3 + 327/452*c_0101_5^8 - 1845/452*c_0101_5^7 + 607/113*c_0101_5^6 + 640/113*c_0101_5^5 - 3601/452*c_0101_5^4 - 6367/452*c_0101_5^3 - 1011/452*c_0101_5^2 + 2881/452*c_0101_5 + 262/113, c_0101_5^9 - 6*c_0101_5^8 + 9*c_0101_5^7 + 8*c_0101_5^6 - 19*c_0101_5^5 - 16*c_0101_5^4 + 10*c_0101_5^3 + 14*c_0101_5^2 - c_0101_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB