Magma V2.19-8 Wed Aug 21 2013 01:01:21 on localhost [Seed = 1343638431] Type ? for help. Type -D to quit. Loading file "L14n1105__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1105 geometric_solution 12.12039739 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 1 0 -1 0 0 0 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549908941831 0.534824951429 0 5 6 2 0132 0132 0132 2103 1 1 1 1 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 1 -1 0 0 0 0 1 0 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.006687912506 1.001726353423 7 0 3 1 0132 0132 0321 2103 1 1 1 1 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 -1 0 1 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614185690695 1.201306784624 8 8 2 0 0132 3201 0321 0132 1 1 1 1 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 0 0 0 -2 0 2 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735451146654 0.639215133508 5 7 0 9 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -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 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 0.930183956643 0.782928332563 4 1 8 6 0132 0132 0213 3120 1 1 1 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 -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 0.192971183630 1.141067679318 5 10 11 1 3120 0132 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493879506561 0.423327683295 2 4 10 9 0132 0132 3201 0213 1 1 1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509387331240 0.458733337418 3 5 3 9 0132 0213 2310 3120 1 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 2 0 -2 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298482114012 1.187519303434 8 10 4 7 3120 3201 0132 0213 1 1 1 1 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 -1 1 0 0 0 1 -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 0.636735925050 0.569858398596 7 6 9 12 2310 0132 2310 0132 1 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 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 1.162521858478 0.972352812244 12 12 12 6 3012 0132 1302 0132 1 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 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 0.832776372644 1.000483047975 11 11 10 11 2031 0132 0132 1230 1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508536548897 0.590435641163 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_1001_0']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_1001_12'], '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' : negation(d['1']), 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0101_0']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : d['c_0011_9'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_9'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_1001_0, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 61044078023/26688816*c_1001_2^4 - 117578849/21912*c_1001_2^3 + 144795350851/26688816*c_1001_2^2 - 72509119819/26688816*c_1001_2 + 14618403995/26688816, c_0011_0 - 1, c_0011_10 + 136*c_1001_2^4 - 284*c_1001_2^3 + 258*c_1001_2^2 - 110*c_1001_2 + 16, c_0011_11 - 1, c_0011_3 + 51*c_1001_2^4 - 98*c_1001_2^3 + 79*c_1001_2^2 - 30*c_1001_2 + 3, c_0011_9 + 153*c_1001_2^4 - 311*c_1001_2^3 + 281*c_1001_2^2 - 119*c_1001_2 + 17, c_0101_0 - 17*c_1001_2^4 + 27*c_1001_2^3 - 23*c_1001_2^2 + 11*c_1001_2 - 3, c_0101_1 - 17*c_1001_2^4 + 27*c_1001_2^3 - 23*c_1001_2^2 + 9*c_1001_2 - 1, c_0101_10 + 17*c_1001_2^4 - 27*c_1001_2^3 + 23*c_1001_2^2 - 9*c_1001_2 + 1, c_0101_12 + 119*c_1001_2^4 - 257*c_1001_2^3 + 235*c_1001_2^2 - 101*c_1001_2 + 15, c_0101_2 + 34*c_1001_2^3 - 54*c_1001_2^2 + 39*c_1001_2 - 10, c_1001_0 + 2*c_1001_2 - 1, c_1001_12 + 272*c_1001_2^4 - 568*c_1001_2^3 + 516*c_1001_2^2 - 220*c_1001_2 + 32, c_1001_2^5 - 44/17*c_1001_2^4 + 50/17*c_1001_2^3 - 30/17*c_1001_2^2 + 9/17*c_1001_2 - 1/17 ], 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_1001_0, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 22306716485/391523467264*c_1001_2^6 - 121934334325/391523467264*c_1001_2^5 + 138179394823/195761733632*c_1001_2^4 - 15637608893/48940433408*c_1001_2^3 - 289586444725/391523467264*c_1001_2^2 + 69639313917/195761733632*c_1001_2 + 107036706529/391523467264, c_0011_0 - 1, c_0011_10 - 9/17*c_1001_2^6 + 52/17*c_1001_2^5 - 138/17*c_1001_2^4 + 130/17*c_1001_2^3 + 33/17*c_1001_2^2 - 125/17*c_1001_2 + 56/17, c_0011_11 - 1, c_0011_3 + 2/17*c_1001_2^6 - 4/17*c_1001_2^5 - 9/17*c_1001_2^4 + 58/17*c_1001_2^3 - 47/17*c_1001_2^2 - 44/17*c_1001_2 + 31/17, c_0011_9 + 5/17*c_1001_2^6 - 27/17*c_1001_2^5 + 71/17*c_1001_2^4 - 59/17*c_1001_2^3 - 24/17*c_1001_2^2 + 77/17*c_1001_2 - 16/17, c_0101_0 - 10/17*c_1001_2^6 + 54/17*c_1001_2^5 - 125/17*c_1001_2^4 + 67/17*c_1001_2^3 + 99/17*c_1001_2^2 - 69/17*c_1001_2 + 15/17, c_0101_1 - 4/17*c_1001_2^6 + 25/17*c_1001_2^5 - 67/17*c_1001_2^4 + 71/17*c_1001_2^3 + 9/17*c_1001_2^2 - 48/17*c_1001_2 + 40/17, c_0101_10 + 4/17*c_1001_2^6 - 25/17*c_1001_2^5 + 67/17*c_1001_2^4 - 71/17*c_1001_2^3 - 9/17*c_1001_2^2 + 48/17*c_1001_2 - 40/17, c_0101_12 + 13/17*c_1001_2^6 - 77/17*c_1001_2^5 + 205/17*c_1001_2^4 - 201/17*c_1001_2^3 - 42/17*c_1001_2^2 + 173/17*c_1001_2 - 96/17, c_0101_2 - 5/34*c_1001_2^6 + 27/34*c_1001_2^5 - 27/17*c_1001_2^4 + 4/17*c_1001_2^3 + 109/34*c_1001_2^2 - 13/17*c_1001_2 - 35/34, c_1001_0 - 14/17*c_1001_2^6 + 79/17*c_1001_2^5 - 192/17*c_1001_2^4 + 138/17*c_1001_2^3 + 108/17*c_1001_2^2 - 117/17*c_1001_2 + 38/17, c_1001_12 + 18/17*c_1001_2^6 - 104/17*c_1001_2^5 + 276/17*c_1001_2^4 - 260/17*c_1001_2^3 - 66/17*c_1001_2^2 + 250/17*c_1001_2 - 112/17, c_1001_2^7 - 5*c_1001_2^6 + 10*c_1001_2^5 - 17*c_1001_2^3 + 6*c_1001_2^2 + 5*c_1001_2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.420 Total time: 0.630 seconds, Total memory usage: 32.09MB