Magma V2.19-8 Tue Aug 20 2013 16:16:39 on localhost [Seed = 2261195356] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0950 geometric_solution 4.84982168 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 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 -2 0 2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.790388805546 1.413531943043 0 3 4 2 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.301354551529 0.538942709941 5 1 0 3 0132 1302 0132 2310 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 0 -2 2 -2 0 2 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 -0.301354551529 0.538942709941 2 1 5 4 3201 0132 3012 3012 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 1 0 0 -1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203312849406 0.306228251683 6 6 3 1 0132 3201 1230 0132 0 0 0 0 0 0 0 0 1 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 0 -1 1 0 1 0 -1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.426579309168 0.884947377707 2 3 6 6 0132 1230 0132 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 2 0 0 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.426579309168 0.884947377707 4 5 4 5 0132 2310 2310 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -1 0 1 0 -1 2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442004484056 0.916947214019 ==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' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0110_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], '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_0110_3'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_3, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 33/32*c_0110_3^8 - 15/4*c_0110_3^6 - 223/4*c_0110_3^4 + 107/4*c_0110_3^2 + 313/32, c_0011_0 - 1, c_0011_2 - c_0110_3, c_0011_4 - 7/32*c_0110_3^9 - 19/16*c_0110_3^7 - 217/16*c_0110_3^5 - 267/16*c_0110_3^3 - 171/32*c_0110_3, c_0101_0 + 1/8*c_0101_3*c_0110_3^9 + 1/2*c_0101_3*c_0110_3^7 + 7*c_0101_3*c_0110_3^5 - 1/2*c_0101_3*c_0110_3^3 + 15/8*c_0101_3*c_0110_3, c_0101_1 + 1/32*c_0110_3^8 + 3/16*c_0110_3^6 + 33/16*c_0110_3^4 + 59/16*c_0110_3^2 + 33/32, c_0101_3^2 + 1/32*c_0110_3^8 + 3/16*c_0110_3^6 + 33/16*c_0110_3^4 + 43/16*c_0110_3^2 + 33/32, c_0110_3^10 + 5*c_0110_3^8 + 60*c_0110_3^6 + 52*c_0110_3^4 + 11*c_0110_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB