Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 2901225593] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1236 geometric_solution 5.13113342 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 0 0 0 0 0 0 1 -1 -1 0 0 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 0.638800447489 0.346090407673 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 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 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 0.561220782907 1.206966861126 0 0 3 5 3201 0132 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.443391267192 1.383013540914 2 1 5 0 2103 0132 3201 0132 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 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 0.690038540178 0.175445047157 5 6 1 6 2310 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.283484121549 1.347416580825 3 2 4 1 2310 0321 3201 0132 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561220782907 1.206966861126 4 4 6 6 3201 0132 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 0.267317856666 0.131032512141 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_1']), '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_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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0011_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_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1/432*c_1001_0^5 - 1/108*c_1001_0^4 - 1/54*c_1001_0^3 + 31/432*c_1001_0^2 + 1/36*c_1001_0 - 1/16, c_0011_0 - 1, c_0011_4 - 2/9*c_1001_0^5 + 2/9*c_1001_0^4 + 22/9*c_1001_0^3 - 14/9*c_1001_0^2 - 16/3*c_1001_0 + 2, c_0101_0 - 2, c_0101_1 + 1/9*c_1001_0^5 - 1/9*c_1001_0^4 - 11/9*c_1001_0^3 + 7/9*c_1001_0^2 + 11/3*c_1001_0 - 1, c_0101_5 - 2, c_0110_6 + 2/9*c_1001_0^5 - 8/9*c_1001_0^4 - 16/9*c_1001_0^3 + 62/9*c_1001_0^2 + 8/3*c_1001_0 - 10, c_1001_0^6 - c_1001_0^5 - 11*c_1001_0^4 + 7*c_1001_0^3 + 33*c_1001_0^2 - 9*c_1001_0 - 27 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 150849/5632*c_1001_0^13 - 25147/5632*c_1001_0^12 - 113503/1408*c_1001_0^11 + 74029/5632*c_1001_0^10 - 1185641/5632*c_1001_0^9 + 8877/512*c_1001_0^8 - 329117/1408*c_1001_0^7 + 334837/2816*c_1001_0^6 - 1817279/5632*c_1001_0^5 + 270367/5632*c_1001_0^4 - 20657/176*c_1001_0^3 + 1216201/5632*c_1001_0^2 - 116261/512*c_1001_0 - 1152979/5632, c_0011_0 - 1, c_0011_4 - 1/16*c_1001_0^13 + 1/16*c_1001_0^12 - 1/8*c_1001_0^11 + 3/16*c_1001_0^10 - 7/16*c_1001_0^9 + 7/16*c_1001_0^8 - 1/4*c_1001_0^7 + 1/2*c_1001_0^6 - 15/16*c_1001_0^5 + 9/16*c_1001_0^4 - 5/8*c_1001_0^3 + 5/16*c_1001_0^2 - 25/16*c_1001_0 - 1/16, c_0101_0 + c_1001_0^2 + 1, c_0101_1 - c_1001_0, c_0101_5 + 1/16*c_1001_0^13 + 1/16*c_1001_0^12 + 1/8*c_1001_0^11 + 1/16*c_1001_0^10 + 5/16*c_1001_0^9 + 5/16*c_1001_0^8 + 1/8*c_1001_0^7 - 1/8*c_1001_0^6 + 5/16*c_1001_0^5 + 11/16*c_1001_0^4 - 1/4*c_1001_0^3 - 15/16*c_1001_0^2 + 5/16*c_1001_0 + 15/16, c_0110_6 - 1/8*c_1001_0^13 - 1/2*c_1001_0^11 + 1/8*c_1001_0^10 - 5/4*c_1001_0^9 + 1/8*c_1001_0^8 - 13/8*c_1001_0^7 + 7/8*c_1001_0^6 - 7/4*c_1001_0^5 + 5/8*c_1001_0^4 - 7/8*c_1001_0^3 + 2*c_1001_0^2 - 7/8*c_1001_0 - 3/4, c_1001_0^14 + 3*c_1001_0^12 - c_1001_0^11 + 8*c_1001_0^10 - 2*c_1001_0^9 + 9*c_1001_0^8 - 6*c_1001_0^7 + 13*c_1001_0^6 - 4*c_1001_0^5 + 5*c_1001_0^4 - 9*c_1001_0^3 + 10*c_1001_0^2 + 6*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB