Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 4256981294] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1333 geometric_solution 5.21256682 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 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 -1 0 1 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 1.004241210160 2.039498725436 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 -1 1 0 -1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.563116002048 0.350403478035 4 3 5 0 0132 1023 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.010283166888 0.735197399967 2 4 0 5 1023 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 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 -0.010283166888 0.735197399967 2 4 3 4 0132 2310 2310 3201 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 1 0 -1 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.019021028855 1.359912866437 6 6 3 2 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.338876397769 0.739734495617 5 6 6 5 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.598811055194 0.932972818444 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : 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_2']), 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1063/35757*c_0101_2*c_1100_0^6 - 1241/23838*c_0101_2*c_1100_0^5 + 4323/7946*c_0101_2*c_1100_0^4 - 6367/11919*c_0101_2*c_1100_0^3 - 22303/71514*c_0101_2*c_1100_0^2 + 34379/35757*c_0101_2*c_1100_0 - 138421/35757*c_0101_2, c_0011_0 - 1, c_0011_2 - 53/1233*c_1100_0^6 + 325/2466*c_1100_0^5 - 289/2466*c_1100_0^4 + 89/1233*c_1100_0^3 + 277/822*c_1100_0^2 - 1079/1233*c_1100_0 + 19/411, c_0011_5 - 59/1233*c_1100_0^6 + 146/1233*c_1100_0^5 + 223/1233*c_1100_0^4 - 436/1233*c_1100_0^3 + 65/411*c_1100_0^2 - 1364/1233*c_1100_0 - 227/411, c_0101_0 - 22/411*c_0101_2*c_1100_0^6 + 145/411*c_0101_2*c_1100_0^5 - 91/411*c_0101_2*c_1100_0^4 - 281/411*c_0101_2*c_1100_0^3 + 73/137*c_0101_2*c_1100_0^2 - 634/411*c_0101_2*c_1100_0 + 57/137*c_0101_2, c_0101_1 - 17/411*c_0101_2*c_1100_0^6 + 56/411*c_0101_2*c_1100_0^5 - 89/411*c_0101_2*c_1100_0^4 - 49/411*c_0101_2*c_1100_0^3 + 100/137*c_0101_2*c_1100_0^2 - 191/411*c_0101_2*c_1100_0 + 125/137*c_0101_2, c_0101_2^2 - 29/548*c_1100_0^6 + 343/1644*c_1100_0^5 - 127/822*c_1100_0^4 - 3/548*c_1100_0^3 - 143/822*c_1100_0^2 - 194/411*c_1100_0 + 33/137, c_1100_0^7 - 3*c_1100_0^6 + 3*c_1100_0^4 - 4*c_1100_0^3 + 16*c_1100_0^2 + 4*c_1100_0 + 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB