Magma V2.19-8 Wed Aug 21 2013 00:57:25 on localhost [Seed = 239604936] Type ? for help. Type -D to quit. Loading file "L13n4345__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4345 geometric_solution 12.53488911 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.539370030403 0.955469313639 0 0 5 4 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720106915028 1.255097242466 4 0 6 6 0213 0132 2103 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 -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 0.422289472066 0.656190813601 7 7 0 5 0132 2310 0132 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 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 0.554131826251 0.739797844400 2 8 1 9 0213 0132 0132 0132 0 0 1 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 0 0 -1 -5 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737927929811 1.004337378943 3 8 10 1 3201 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327889351632 0.792362833556 2 7 2 11 2103 3120 0132 0132 0 1 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 3 -1 -2 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 0.306488388032 1.077639815819 3 6 12 3 0132 3120 0132 3201 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 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 0.799979844205 1.087643251976 9 4 12 5 0213 0132 0213 2031 0 0 0 1 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 0 0 0 0 0 0 1 0 -1 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640973488081 0.433995092286 8 12 4 11 0213 0213 0132 3201 0 0 0 1 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 0 0 0 0 0 0 0 -2 0 2 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396141257582 0.530015640704 12 11 11 5 0213 0321 3201 0132 0 0 0 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 -3 0 3 0 2 -3 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453352507802 0.878475795539 10 9 6 10 2310 2310 0132 0321 0 1 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 -2 2 0 -1 0 1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453352507802 0.878475795539 10 8 9 7 0213 0213 0213 0132 0 0 0 1 0 0 0 0 -1 0 1 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 -2 0 2 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435213575381 0.389185867169 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : negation(d['c_1001_0']), 'c_1010_11' : d['c_0110_8'], 'c_1010_10' : d['c_0110_8'], 's_0_10' : d['1'], 's_3_10' : 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_0011_10'], '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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_0']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_5'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_3']), 's_1_7' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : 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_0110_8']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_0']), 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0101_11, c_0101_5, c_0110_8, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 24966897030/322751*c_1001_12^8 + 150347689391/322751*c_1001_12^7 + 428332323537/322751*c_1001_12^6 + 53434652569/29341*c_1001_12^5 + 29695132541/29341*c_1001_12^4 - 5011599698/24827*c_1001_12^3 - 216308122311/322751*c_1001_12^2 - 121418969051/322751*c_1001_12 - 24390483761/322751, c_0011_0 - 1, c_0011_10 + 89/37*c_1001_12^8 + 394/37*c_1001_12^7 + 742/37*c_1001_12^6 + 61/37*c_1001_12^5 - 1105/37*c_1001_12^4 - 812/37*c_1001_12^3 + 29/37*c_1001_12^2 + 398/37*c_1001_12 + 135/37, c_0011_11 - 38/37*c_1001_12^8 - 157/37*c_1001_12^7 - 269/37*c_1001_12^6 + 65/37*c_1001_12^5 + 493/37*c_1001_12^4 + 286/37*c_1001_12^3 - 34/37*c_1001_12^2 - 251/37*c_1001_12 - 83/37, c_0011_3 + 77/37*c_1001_12^8 + 360/37*c_1001_12^7 + 733/37*c_1001_12^6 + 249/37*c_1001_12^5 - 850/37*c_1001_12^4 - 858/37*c_1001_12^3 - 194/37*c_1001_12^2 + 272/37*c_1001_12 + 138/37, c_0011_4 - 1, c_0011_5 + 38/37*c_1001_12^8 + 157/37*c_1001_12^7 + 269/37*c_1001_12^6 - 65/37*c_1001_12^5 - 493/37*c_1001_12^4 - 286/37*c_1001_12^3 + 34/37*c_1001_12^2 + 214/37*c_1001_12 + 83/37, c_0011_6 + 83/37*c_1001_12^8 + 377/37*c_1001_12^7 + 756/37*c_1001_12^6 + 229/37*c_1001_12^5 - 848/37*c_1001_12^4 - 835/37*c_1001_12^3 - 249/37*c_1001_12^2 + 261/37*c_1001_12 + 118/37, c_0101_1 - 49/37*c_1001_12^8 - 219/37*c_1001_12^7 - 416/37*c_1001_12^6 - 34/37*c_1001_12^5 + 662/37*c_1001_12^4 + 546/37*c_1001_12^3 - 1/37*c_1001_12^2 - 311/37*c_1001_12 - 145/37, c_0101_11 + 57/37*c_1001_12^8 + 254/37*c_1001_12^7 + 496/37*c_1001_12^6 + 106/37*c_1001_12^5 - 610/37*c_1001_12^4 - 540/37*c_1001_12^3 - 97/37*c_1001_12^2 + 210/37*c_1001_12 + 69/37, c_0101_5 + 44/37*c_1001_12^8 + 211/37*c_1001_12^7 + 440/37*c_1001_12^6 + 174/37*c_1001_12^5 - 528/37*c_1001_12^4 - 596/37*c_1001_12^3 - 132/37*c_1001_12^2 + 203/37*c_1001_12 + 137/37, c_0110_8 - 31/37*c_1001_12^8 - 168/37*c_1001_12^7 - 384/37*c_1001_12^6 - 242/37*c_1001_12^5 + 409/37*c_1001_12^4 + 578/37*c_1001_12^3 + 93/37*c_1001_12^2 - 122/37*c_1001_12 - 94/37, c_1001_0 + 26/37*c_1001_12^8 + 123/37*c_1001_12^7 + 260/37*c_1001_12^6 + 123/37*c_1001_12^5 - 238/37*c_1001_12^4 - 295/37*c_1001_12^3 - 152/37*c_1001_12^2 + 51/37*c_1001_12 + 49/37, c_1001_12^9 + 5*c_1001_12^8 + 11*c_1001_12^7 + 6*c_1001_12^6 - 11*c_1001_12^5 - 16*c_1001_12^4 - 6*c_1001_12^3 + 4*c_1001_12^2 + 4*c_1001_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB