Magma V2.19-8 Wed Aug 21 2013 00:51:24 on localhost [Seed = 2134469137] Type ? for help. Type -D to quit. Loading file "L11a417__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a417 geometric_solution 11.74011858 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649554845066 0.380088827384 0 2 3 5 0132 0213 0213 0132 2 0 0 2 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576827325363 0.447111205026 5 0 1 5 1230 0132 0213 0213 2 0 0 2 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 1 0 -1 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891345943136 0.571248038812 6 1 7 0 0132 0213 0132 0132 2 0 0 2 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290608504158 1.302001352883 6 8 0 9 1302 0132 0132 0132 2 0 0 2 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 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 1.318402152080 2.378861771945 6 2 1 2 2103 3012 0132 0213 2 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 -1 0 1 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 0.321338090484 1.689433043572 3 4 5 10 0132 2031 2103 0132 0 0 2 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303686484394 0.948608117988 8 8 11 3 2310 0321 0132 0132 2 0 2 2 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 1 0 0 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316458647590 0.641658227041 12 4 7 7 0132 0132 3201 0321 2 2 2 0 0 -1 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 0 -3 3 0 3 0 0 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316458647590 0.641658227041 10 11 4 11 3120 2031 0132 0132 2 0 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 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316458647590 0.641658227041 12 12 6 9 3201 2103 0132 3120 0 0 1 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777675856916 0.730024759734 9 12 9 7 1302 1230 0132 0132 2 0 2 1 0 -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 -2 2 0 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316458647590 0.641658227041 8 10 11 10 0132 2103 3012 2310 1 2 0 2 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 -1 1 -3 0 2 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 0.316458647590 0.641658227041 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_9']), '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'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : negation(d['c_0011_9']), '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' : 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' : 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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : negation(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_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_10'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_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_0101_7'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0011_7']), '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_12, c_0011_3, c_0011_5, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_7, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 105190297711469/8572692783350*c_1100_0^7 - 8569124128093/342907711334*c_1100_0^6 - 38420868601697/857269278335*c_1100_0^5 - 205182095121731/1714538556670*c_1100_0^4 + 174760825695380/171453855667*c_1100_0^3 - 1402026383056637/857269278335*c_1100_0^2 + 169871690066566/171453855667*c_1100_0 - 786281601068267/8572692783350, c_0011_0 - 1, c_0011_10 - 20241/2506159*c_1100_0^7 + 57063/2506159*c_1100_0^6 + 191293/2506159*c_1100_0^5 + 214518/2506159*c_1100_0^4 - 2456779/2506159*c_1100_0^3 + 420564/2506159*c_1100_0^2 + 904406/2506159*c_1100_0 + 1091128/2506159, c_0011_12 - c_1100_0, c_0011_3 + 122585/5012318*c_1100_0^7 - 74918/2506159*c_1100_0^6 - 458974/2506159*c_1100_0^5 - 2324747/5012318*c_1100_0^4 + 9467421/5012318*c_1100_0^3 - 1359531/5012318*c_1100_0^2 - 4228397/5012318*c_1100_0 - 2324452/2506159, c_0011_5 + 38987/5012318*c_1100_0^7 + 44611/5012318*c_1100_0^6 - 194691/2506159*c_1100_0^5 - 1113371/5012318*c_1100_0^4 + 758857/2506159*c_1100_0^3 + 2902711/2506159*c_1100_0^2 - 3485009/2506159*c_1100_0 + 2039855/5012318, c_0011_7 + 108215/5012318*c_1100_0^7 + 76771/5012318*c_1100_0^6 - 139600/2506159*c_1100_0^5 - 1744543/5012318*c_1100_0^4 + 2222236/2506159*c_1100_0^3 - 926626/2506159*c_1100_0^2 - 587625/2506159*c_1100_0 - 4105675/5012318, c_0011_9 - 1, c_0101_0 - 1, c_0101_10 + 79437/5012318*c_1100_0^7 + 74697/5012318*c_1100_0^6 - 94370/2506159*c_1100_0^5 - 1640873/5012318*c_1100_0^4 + 1051991/2506159*c_1100_0^3 - 95369/2506159*c_1100_0^2 - 850535/2506159*c_1100_0 - 1507109/5012318, c_0101_7 - 79437/5012318*c_1100_0^7 - 74697/5012318*c_1100_0^6 + 94370/2506159*c_1100_0^5 + 1640873/5012318*c_1100_0^4 - 1051991/2506159*c_1100_0^3 + 95369/2506159*c_1100_0^2 + 850535/2506159*c_1100_0 + 1507109/5012318, c_1001_0 - 73065/5012318*c_1100_0^7 + 29917/5012318*c_1100_0^6 + 294929/2506159*c_1100_0^5 + 1825183/5012318*c_1100_0^4 - 2215338/2506159*c_1100_0^3 - 1672432/2506159*c_1100_0^2 + 401734/2506159*c_1100_0 - 1169821/5012318, c_1001_1 + 24760/2506159*c_1100_0^7 - 119919/5012318*c_1100_0^6 - 164045/2506159*c_1100_0^5 - 249782/2506159*c_1100_0^4 + 5036745/5012318*c_1100_0^3 - 4704395/5012318*c_1100_0^2 - 3424929/5012318*c_1100_0 - 5818725/5012318, c_1100_0^8 - c_1100_0^7 - 5*c_1100_0^6 - 15*c_1100_0^5 + 70*c_1100_0^4 - 55*c_1100_0^3 + 5*c_1100_0^2 - 18*c_1100_0 + 43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB