Magma V2.19-8 Wed Aug 21 2013 01:08:14 on localhost [Seed = 1916037962] Type ? for help. Type -D to quit. Loading file "L14n3885__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n3885 geometric_solution 12.26346635 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 1 -1 0 0 0 1 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -4 1 0 0 3 -3 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728179809125 0.419186013194 0 2 6 5 0132 0213 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -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 0 4 -4 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.968529414462 0.593779224665 7 0 1 8 0132 0132 0213 0132 1 1 1 0 0 -1 0 1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544504772567 0.839705041936 6 9 5 0 2031 0132 0132 0132 1 1 1 1 0 -1 0 1 0 0 1 -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 -4 0 4 0 0 3 -3 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544504772567 0.839705041936 7 6 0 5 3012 0132 0132 1230 1 1 1 0 0 0 0 0 0 0 1 -1 -1 1 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 0 3 -3 -3 3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728179809125 0.419186013194 4 10 1 3 3012 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 1 -1 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 4 -3 3 -3 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499128841307 0.920143569853 7 4 3 1 1023 0132 1302 0132 1 1 0 1 0 0 0 0 0 0 1 -1 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 4 -4 1 -1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.968529414462 0.593779224665 2 6 11 4 0132 1023 0132 1230 1 1 0 1 0 0 0 0 0 0 -1 1 1 -1 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 -3 3 0 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499128841307 0.920143569853 10 9 2 12 2031 0213 0132 0132 1 1 1 1 0 0 -1 1 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 -3 3 0 0 0 0 3 -3 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482537643520 0.547283987105 11 3 8 12 1302 0132 0213 1230 1 1 1 1 0 1 0 -1 0 0 1 -1 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 4 0 -4 0 0 3 -3 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140700125241 0.757543501476 11 5 8 12 2310 0132 1302 0213 1 1 1 1 0 0 0 0 -1 0 1 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 -4 0 4 0 0 -4 0 4 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093591700044 1.028029118571 12 9 10 7 1023 2031 3201 0132 1 1 1 1 0 0 0 0 -1 0 0 1 1 0 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 -3 0 0 3 3 0 0 -3 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762998909092 1.276037501402 9 11 8 10 3012 1023 0132 0213 1 1 1 1 0 1 -1 0 1 0 0 -1 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 3 -3 0 4 0 0 -4 3 -3 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527631286161 0.982438260216 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(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' : d['c_1001_5'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_5'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0101_7'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_7'], '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' : d['c_0011_11'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 204924531158249/25306338816*c_1001_5^6 + 1286862206740975/25306338816*c_1001_5^5 + 27607082590203683/202450710528*c_1001_5^4 + 107729681875408261/539868561408*c_1001_5^3 + 98879768455554893/588947521536*c_1001_5^2 + 221211216591413827/2879298994176*c_1001_5 + 48241398997682717/3239211368448, c_0011_0 - 1, c_0011_10 + c_1001_5 + 2, c_0011_11 - 4288/27*c_1001_5^6 - 26432/27*c_1001_5^5 - 69512/27*c_1001_5^4 - 33191/9*c_1001_5^3 - 327029/108*c_1001_5^2 - 64625/48*c_1001_5 - 6815/27, c_0011_3 - c_1001_5, c_0101_0 - 1, c_0101_1 - 6400/27*c_1001_5^6 - 42752/27*c_1001_5^5 - 121184/27*c_1001_5^4 - 62228/9*c_1001_5^3 - 165071/27*c_1001_5^2 - 35315/12*c_1001_5 - 16241/27, c_0101_11 - 4864/27*c_1001_5^6 - 29312/27*c_1001_5^5 - 75200/27*c_1001_5^4 - 34964/9*c_1001_5^3 - 83753/27*c_1001_5^2 - 16079/12*c_1001_5 - 6590/27, c_0101_12 - 2048/27*c_1001_5^6 - 12160/27*c_1001_5^5 - 31072/27*c_1001_5^4 - 14536/9*c_1001_5^3 - 35344/27*c_1001_5^2 - 3467/6*c_1001_5 - 2914/27, c_0101_3 + 4352/27*c_1001_5^6 + 27136/27*c_1001_5^5 + 71968/27*c_1001_5^4 + 34660/9*c_1001_5^3 + 86311/27*c_1001_5^2 + 17311/12*c_1001_5 + 7441/27, c_0101_7 - 2048/27*c_1001_5^6 - 12160/27*c_1001_5^5 - 31072/27*c_1001_5^4 - 14536/9*c_1001_5^3 - 35344/27*c_1001_5^2 - 3467/6*c_1001_5 - 2914/27, c_1001_0 + c_1001_5 + 2, c_1001_1 - 6400/27*c_1001_5^6 - 42752/27*c_1001_5^5 - 121184/27*c_1001_5^4 - 62228/9*c_1001_5^3 - 165071/27*c_1001_5^2 - 35315/12*c_1001_5 - 16241/27, c_1001_5^7 + 7*c_1001_5^6 + 171/8*c_1001_5^5 + 2359/64*c_1001_5^4 + 9911/256*c_1001_5^3 + 25315/1024*c_1001_5^2 + 1135/128*c_1001_5 + 11/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB