Magma V2.19-8 Wed Aug 21 2013 01:06:39 on localhost [Seed = 1427328407] Type ? for help. Type -D to quit. Loading file "L14n32772__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32772 geometric_solution 11.02529557 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3201 0132 0132 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 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 0.196820181576 0.736755054678 0 4 0 4 0132 0132 2310 2310 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 1 0 -1 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 -0.726463188634 1.375825456163 5 6 7 0 0132 0132 0132 0132 0 1 1 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 1 0 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628013922578 0.910277656241 6 6 0 8 2310 0321 0132 0132 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 -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 0.589885317323 0.733088292397 1 1 9 10 3201 0132 0132 0132 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 -1 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 0 0 0.353348889460 0.410618858321 2 11 9 11 0132 0132 3201 0213 1 1 0 1 0 0 0 0 0 0 1 -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 -1 0 -3 4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509485786012 0.938041415020 10 2 3 3 1302 0132 3201 0321 0 0 0 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 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589885317323 0.733088292397 12 11 8 2 0132 1230 0132 0132 0 1 0 1 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 1 2 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509485786012 0.938041415020 9 12 3 7 2310 3120 0132 0132 0 1 1 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 -1 1 0 -1 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.533913973750 1.052876595766 5 10 8 4 2310 3012 3201 0132 0 1 1 1 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 -4 0 4 0 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598035218346 0.165195959022 9 6 4 12 1230 2031 0132 0213 0 1 1 0 0 1 0 -1 -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 3 -1 -2 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.451498917125 2.034568710468 12 5 7 5 2310 0132 3012 0213 1 0 1 0 0 0 0 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 0 -1 1 0 0 0 0 0 4 0 -4 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509485786012 0.938041415020 7 8 11 10 0132 3120 3201 0213 0 1 1 0 0 0 -1 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 -2 2 0 0 0 0 1 -4 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.552885545773 0.823206234274 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : 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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : 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_9' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : 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'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_8']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_0']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 279469/3776*c_1100_0^4 - 2576209/3776*c_1100_0^3 + 3368645/1888*c_1100_0^2 - 1716547/1888*c_1100_0 + 332487/3776, c_0011_0 - 1, c_0011_10 - 8/59*c_1100_0^4 + 57/59*c_1100_0^3 - 106/59*c_1100_0^2 + 41/59*c_1100_0 + 21/59, c_0011_11 + c_1100_0, c_0011_12 + 8/59*c_1100_0^4 - 57/59*c_1100_0^3 + 106/59*c_1100_0^2 - 41/59*c_1100_0 - 21/59, c_0011_3 + 9/59*c_1100_0^4 - 42/59*c_1100_0^3 + 16/59*c_1100_0^2 - 24/59*c_1100_0 - 31/59, c_0011_8 + 3/59*c_1100_0^4 - 14/59*c_1100_0^3 + 25/59*c_1100_0^2 - 67/59*c_1100_0 + 29/59, c_0011_9 + 12/59*c_1100_0^4 - 115/59*c_1100_0^3 + 336/59*c_1100_0^2 - 268/59*c_1100_0 + 57/59, c_0101_0 - 1, c_0101_1 + 8/59*c_1100_0^4 - 57/59*c_1100_0^3 + 106/59*c_1100_0^2 - 41/59*c_1100_0 - 21/59, c_0101_10 + 2/59*c_1100_0^4 - 29/59*c_1100_0^3 + 115/59*c_1100_0^2 - 84/59*c_1100_0 - 20/59, c_0101_11 - 11/59*c_1100_0^4 + 71/59*c_1100_0^3 - 131/59*c_1100_0^2 - 10/59*c_1100_0 + 51/59, c_0101_12 + 1/59*c_1100_0^4 + 15/59*c_1100_0^3 - 90/59*c_1100_0^2 + 76/59*c_1100_0 + 49/59, c_1100_0^5 - 9*c_1100_0^4 + 22*c_1100_0^3 - 6*c_1100_0^2 - 5*c_1100_0 + 4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 34/29507*c_1100_0^5 + 3605/29507*c_1100_0^4 - 14539/29507*c_1100_0^3 + 43807/59014*c_1100_0^2 - 28891/29507*c_1100_0 + 65217/59014, c_0011_0 - 1, c_0011_10 - 57/1553*c_1100_0^5 + 214/1553*c_1100_0^4 + 120/1553*c_1100_0^3 - 659/1553*c_1100_0^2 + 703/1553*c_1100_0 - 198/1553, c_0011_11 + c_1100_0, c_0011_12 + 43/1553*c_1100_0^5 + 220/1553*c_1100_0^4 - 254/1553*c_1100_0^3 - 184/1553*c_1100_0^2 + 505/1553*c_1100_0 - 668/1553, c_0011_3 - 52/1553*c_1100_0^5 + 59/1553*c_1100_0^4 - 54/1553*c_1100_0^3 - 247/1553*c_1100_0^2 - 394/1553*c_1100_0 - 998/1553, c_0011_8 - 159/1553*c_1100_0^5 + 270/1553*c_1100_0^4 + 253/1553*c_1100_0^3 - 367/1553*c_1100_0^2 + 408/1553*c_1100_0 + 592/1553, c_0011_9 - 48/1553*c_1100_0^5 - 65/1553*c_1100_0^4 + 428/1553*c_1100_0^3 - 228/1553*c_1100_0^2 + 592/1553*c_1100_0 - 85/1553, c_0101_0 - 1, c_0101_1 + 57/1553*c_1100_0^5 - 214/1553*c_1100_0^4 - 120/1553*c_1100_0^3 + 659/1553*c_1100_0^2 - 703/1553*c_1100_0 + 198/1553, c_0101_10 - 50/1553*c_1100_0^5 - 3/1553*c_1100_0^4 + 187/1553*c_1100_0^3 + 539/1553*c_1100_0^2 + 99/1553*c_1100_0 + 235/1553, c_0101_11 + 200/1553*c_1100_0^5 + 12/1553*c_1100_0^4 - 748/1553*c_1100_0^3 - 603/1553*c_1100_0^2 - 396/1553*c_1100_0 - 940/1553, c_0101_12 + 104/1553*c_1100_0^5 - 118/1553*c_1100_0^4 + 108/1553*c_1100_0^3 + 494/1553*c_1100_0^2 + 788/1553*c_1100_0 - 1110/1553, c_1100_0^6 - 2*c_1100_0^5 - 2*c_1100_0^4 + 5*c_1100_0^3 - 4*c_1100_0^2 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.560 seconds, Total memory usage: 32.09MB