Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 1797977555] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m196 geometric_solution 4.03434792 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 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 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 -0.106265764722 0.948839515027 0 1 1 2 0132 3201 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116572033672 1.040863463268 1 0 0 3 3201 0132 1023 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106265764722 0.948839515027 4 2 0 4 0132 2310 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 1 0 -1 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 0.189478389268 0.691917452114 3 3 4 4 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 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 2.028916141993 0.653327283656 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : 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_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} 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_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2652780/648851*c_0101_4^9 + 611678/92693*c_0101_4^8 + 1939153/92693*c_0101_4^7 - 16458002/648851*c_0101_4^6 - 20522505/648851*c_0101_4^5 + 17147633/648851*c_0101_4^4 + 15708279/648851*c_0101_4^3 - 5676486/648851*c_0101_4^2 - 3936502/648851*c_0101_4 + 2973911/648851, c_0011_0 - 1, c_0011_3 + 163636/92693*c_0101_4^9 - 117778/92693*c_0101_4^8 - 1043059/92693*c_0101_4^7 + 248287/92693*c_0101_4^6 + 1958113/92693*c_0101_4^5 + 92334/92693*c_0101_4^4 - 1441414/92693*c_0101_4^3 - 425064/92693*c_0101_4^2 + 181485/92693*c_0101_4 - 89945/92693, c_0101_0 - 18504/92693*c_0101_4^9 + 67644/92693*c_0101_4^8 + 39334/92693*c_0101_4^7 - 259418/92693*c_0101_4^6 - 38877/92693*c_0101_4^5 + 223871/92693*c_0101_4^4 + 211584/92693*c_0101_4^3 - 130035/92693*c_0101_4^2 - 141067/92693*c_0101_4 - 8504/92693, c_0101_1 - 197304/92693*c_0101_4^9 + 232200/92693*c_0101_4^8 + 1095792/92693*c_0101_4^7 - 687797/92693*c_0101_4^6 - 1820080/92693*c_0101_4^5 + 272700/92693*c_0101_4^4 + 1400556/92693*c_0101_4^3 + 320532/92693*c_0101_4^2 - 151401/92693*c_0101_4 + 95912/92693, c_0101_4^10 - 3/2*c_0101_4^9 - 21/4*c_0101_4^8 + 11/2*c_0101_4^7 + 33/4*c_0101_4^6 - 21/4*c_0101_4^5 - 25/4*c_0101_4^4 + 3/2*c_0101_4^3 + c_0101_4^2 - c_0101_4 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB