Magma V2.19-8 Wed Aug 21 2013 00:54:54 on localhost [Seed = 1999727924] Type ? for help. Type -D to quit. Loading file "L12n719__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n719 geometric_solution 11.86166401 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 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 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 0.863005957930 1.078044895853 0 5 7 6 0132 0132 0132 0132 1 0 0 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 9 -1 -8 -1 0 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 0.053189644236 0.956425977457 8 0 9 4 0132 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185409371358 1.036856623525 10 5 8 0 0132 1230 0321 0132 1 0 0 1 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 -1 0 1 0 0 -1 1 -1 1 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656082045535 0.459035049110 11 7 0 2 0132 0132 0132 0213 1 0 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 -1 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041004245545 0.623331413950 8 1 3 12 1023 0132 3012 0132 1 1 1 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 0 -9 9 0 0 0 1 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007449596640 0.655301048069 10 7 1 9 2103 3201 0132 1302 1 0 1 0 0 -1 1 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 -8 8 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 0.581337548928 1.090361100233 12 4 6 1 0213 0132 2310 0132 1 0 1 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 -1 0 1 0 0 0 0 1 0 0 -1 1 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286666714973 0.516097596621 2 5 3 11 0132 1023 0321 2031 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 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 0.664408501446 0.870618636648 10 12 6 2 1023 0132 2031 0132 1 1 1 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 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 0.384077969898 0.261172819031 3 9 6 11 0132 1023 2103 0132 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 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 -9 0 0 9 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709286338715 0.737692626302 4 8 10 12 0132 1302 0132 0213 1 0 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 0 0 0 0 0 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664408501446 0.870618636648 7 9 5 11 0213 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 -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 0.982654177003 1.525818985887 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0110_6']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_0101_2'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(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_0'], 's_2_0' : negation(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' : negation(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' : negation(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' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1001_7'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_11'], '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' : negation(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_1001_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1001_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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0110_6, c_1001_1, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 341930470741/377173996*c_1001_7^5 + 72367469816691/9429349900*c_1001_7^4 + 172398838880977/9429349900*c_1001_7^3 - 38887321218616/2357337475*c_1001_7^2 + 28375211033357/4714674950*c_1001_7 - 15371573079248/2357337475, c_0011_0 - 1, c_0011_10 - 55623825/188586998*c_1001_7^5 - 983768981/377173996*c_1001_7^4 - 659713428/94293499*c_1001_7^3 + 389300099/188586998*c_1001_7^2 - 324112810/94293499*c_1001_7 + 54634885/94293499, c_0011_11 + 52124225/188586998*c_1001_7^5 + 954361063/377173996*c_1001_7^4 + 1385915461/188586998*c_1001_7^3 + 16845813/94293499*c_1001_7^2 + 227804325/94293499*c_1001_7 - 44811814/94293499, c_0011_6 + 17799275/377173996*c_1001_7^5 + 52826723/188586998*c_1001_7^4 - 16148733/94293499*c_1001_7^3 - 398099714/94293499*c_1001_7^2 + 32576847/94293499*c_1001_7 - 51167791/94293499, c_0101_0 - 1, c_0101_1 - 47146875/188586998*c_1001_7^5 - 865585225/377173996*c_1001_7^4 - 627211466/94293499*c_1001_7^3 - 8851117/188586998*c_1001_7^2 - 137502255/94293499*c_1001_7 - 32241997/94293499, c_0101_11 - 74380775/377173996*c_1001_7^5 - 603734081/377173996*c_1001_7^4 - 317348432/94293499*c_1001_7^3 + 476776166/94293499*c_1001_7^2 - 261117967/94293499*c_1001_7 + 113965079/94293499, c_0101_2 - 23204000/94293499*c_1001_7^5 - 835901265/377173996*c_1001_7^4 - 1155432365/188586998*c_1001_7^3 + 107532500/94293499*c_1001_7^2 - 187652212/94293499*c_1001_7 + 28436132/94293499, c_0101_5 + 93448375/377173996*c_1001_7^5 + 878115535/377173996*c_1001_7^4 + 675862161/94293499*c_1001_7^3 + 406899329/188586998*c_1001_7^2 + 291535963/94293499*c_1001_7 - 3467094/94293499, c_0110_6 - 645125/1867198*c_1001_7^5 - 12456935/3734396*c_1001_7^4 - 10081457/933599*c_1001_7^3 - 4807681/933599*c_1001_7^2 - 3510206/933599*c_1001_7 + 380499/933599, c_1001_1 - 45343825/377173996*c_1001_7^5 - 219563389/188586998*c_1001_7^4 - 358615977/94293499*c_1001_7^3 - 365176625/188586998*c_1001_7^2 - 109153371/94293499*c_1001_7 - 15891753/94293499, c_1001_3 + 108486925/377173996*c_1001_7^5 + 491953501/188586998*c_1001_7^4 + 701083221/94293499*c_1001_7^3 - 32923089/94293499*c_1001_7^2 + 250883589/94293499*c_1001_7 - 19384285/94293499, c_1001_7^6 + 226/25*c_1001_7^5 + 638/25*c_1001_7^4 - 52/25*c_1001_7^3 + 48/5*c_1001_7^2 - 48/25*c_1001_7 + 8/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.750 seconds, Total memory usage: 32.09MB