Magma V2.19-8 Wed Aug 21 2013 01:05:13 on localhost [Seed = 711733946] Type ? for help. Type -D to quit. Loading file "L14n25299__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25299 geometric_solution 11.83992289 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 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 -1 1 0 0 0 1 -1 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760554183950 0.755053525827 0 2 6 5 0132 2031 0132 0132 0 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 0 0 0 0 0 0 0 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 0 0 0 0.598802292069 0.500766871809 1 0 8 7 1302 0132 0132 0132 1 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 1 -1 0 0 0 0 0 0 2 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598802292069 0.500766871809 9 10 11 0 0132 0132 0132 0132 1 1 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 1 -1 2 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 0.202835211221 0.574135037265 11 7 0 5 1023 0132 0132 2103 1 1 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 -1 0 1 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424791852054 1.095662122424 9 10 1 4 2103 3201 0132 2103 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 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 -0.109382195690 1.302341204464 9 12 10 1 1023 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880681545443 0.788471909833 12 4 2 8 2310 0132 0132 0321 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619017126194 0.700648275142 12 7 11 2 3120 0321 1302 0132 1 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 0 -1 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 0.962810690071 1.369730072707 3 6 5 11 0132 1023 2103 0132 1 1 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 0 0 0 0 0 0 0 -2 0 0 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 0.755457965958 0.947602106502 12 3 5 6 0132 0132 2310 1302 1 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 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 -0.493430026878 0.572228451759 8 4 9 3 2031 1023 0132 0132 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 0 0 1 0 -1 1 0 -2 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017280167390 0.821829747413 10 6 7 8 0132 0132 3201 3120 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 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 0.631318163391 1.379657145062 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : d['c_0110_4'], 'c_1010_10' : d['c_0110_4'], '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_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : 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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_11' : negation(d['c_0110_5']), 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_10'], '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_11'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0011_0'], 'c_0101_12' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_11']), '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_0101_11'], 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_4, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1098997414/3213413*c_1001_2^12 - 5456047272/3213413*c_1001_2^11 - 181871184/169127*c_1001_2^10 + 29420970598/3213413*c_1001_2^9 + 29330578904/3213413*c_1001_2^8 - 3798114244/3213413*c_1001_2^7 - 10462544247/3213413*c_1001_2^6 - 11784848107/3213413*c_1001_2^5 + 1015022817/3213413*c_1001_2^4 - 102644665/3213413*c_1001_2^3 + 289798315/459059*c_1001_2^2 + 999458720/3213413*c_1001_2 + 1051050956/3213413, c_0011_0 - 1, c_0011_10 - 1013162/2295295*c_1001_2^12 + 6334286/2295295*c_1001_2^11 - 235224/120805*c_1001_2^10 - 24635143/2295295*c_1001_2^9 + 8351558/2295295*c_1001_2^8 + 1978401/2295295*c_1001_2^7 - 1143055/459059*c_1001_2^6 + 33467342/2295295*c_1001_2^5 - 7412813/2295295*c_1001_2^4 + 881288/2295295*c_1001_2^3 - 1173575/459059*c_1001_2^2 - 246108/2295295*c_1001_2 - 665869/2295295, c_0011_11 - 99837/2295295*c_1001_2^12 + 965606/2295295*c_1001_2^11 - 120054/120805*c_1001_2^10 - 2970353/2295295*c_1001_2^9 + 11386138/2295295*c_1001_2^8 + 5807176/2295295*c_1001_2^7 - 2001573/459059*c_1001_2^6 - 4031168/2295295*c_1001_2^5 - 6696118/2295295*c_1001_2^4 + 2222428/2295295*c_1001_2^3 + 768255/459059*c_1001_2^2 + 119277/2295295*c_1001_2 + 2629891/2295295, c_0011_5 - 343256/1377177*c_1001_2^12 + 2125229/1377177*c_1001_2^11 - 24024/24161*c_1001_2^10 - 2819506/459059*c_1001_2^9 + 1952381/1377177*c_1001_2^8 + 464422/459059*c_1001_2^7 + 19948/459059*c_1001_2^6 + 10833908/1377177*c_1001_2^5 - 88394/37221*c_1001_2^4 - 320501/1377177*c_1001_2^3 - 3610130/1377177*c_1001_2^2 - 450275/1377177*c_1001_2 + 292475/1377177, c_0011_8 - 240513/2295295*c_1001_2^12 + 1887904/2295295*c_1001_2^11 - 166346/120805*c_1001_2^10 - 6241792/2295295*c_1001_2^9 + 13569162/2295295*c_1001_2^8 + 5998639/2295295*c_1001_2^7 - 2313933/459059*c_1001_2^6 + 1231528/2295295*c_1001_2^5 - 2382852/2295295*c_1001_2^4 + 2923072/2295295*c_1001_2^3 - 968668/459059*c_1001_2^2 + 553028/2295295*c_1001_2 + 2212879/2295295, c_0101_0 - 1, c_0101_1 - 1039114/1377177*c_1001_2^12 + 6492325/1377177*c_1001_2^11 - 66215/24161*c_1001_2^10 - 9993204/459059*c_1001_2^9 + 9832477/1377177*c_1001_2^8 + 8897026/459059*c_1001_2^7 - 2480302/459059*c_1001_2^6 + 5294281/1377177*c_1001_2^5 - 9356956/1377177*c_1001_2^4 + 3510023/1377177*c_1001_2^3 + 917345/1377177*c_1001_2^2 + 465797/1377177*c_1001_2 + 118120/1377177, c_0101_11 - 27721/72483*c_1001_2^12 + 163783/72483*c_1001_2^11 - 17169/24161*c_1001_2^10 - 255955/24161*c_1001_2^9 - 79886/72483*c_1001_2^8 + 180711/24161*c_1001_2^7 + 95027/24161*c_1001_2^6 + 289396/72483*c_1001_2^5 - 8845/1959*c_1001_2^4 + 157205/72483*c_1001_2^3 - 128293/72483*c_1001_2^2 - 17320/72483*c_1001_2 - 33026/72483, c_0101_7 - 555536/459059*c_1001_2^12 + 3243530/459059*c_1001_2^11 - 33638/24161*c_1001_2^10 - 16594355/459059*c_1001_2^9 - 1376488/459059*c_1001_2^8 + 14875186/459059*c_1001_2^7 + 2208195/459059*c_1001_2^6 + 3779438/459059*c_1001_2^5 - 3796120/459059*c_1001_2^4 - 693506/459059*c_1001_2^3 + 883084/459059*c_1001_2^2 - 448092/459059*c_1001_2 - 70320/459059, c_0110_4 - 33026/72483*c_1001_2^12 + 170435/72483*c_1001_2^11 + 32577/24161*c_1001_2^10 - 347429/24161*c_1001_2^9 - 734839/72483*c_1001_2^8 + 314640/24161*c_1001_2^7 + 246763/24161*c_1001_2^6 + 318107/72483*c_1001_2^5 - 106916/72483*c_1001_2^4 - 294239/72483*c_1001_2^3 + 91153/72483*c_1001_2^2 - 95267/72483*c_1001_2 - 17320/72483, c_0110_5 + 249581/4131531*c_1001_2^12 - 1329929/4131531*c_1001_2^11 + 10346/72483*c_1001_2^10 + 134548/459059*c_1001_2^9 + 7333180/4131531*c_1001_2^8 + 216146/37221*c_1001_2^7 - 935447/459059*c_1001_2^6 - 30849644/4131531*c_1001_2^5 - 3696460/4131531*c_1001_2^4 - 3083533/4131531*c_1001_2^3 + 13806098/4131531*c_1001_2^2 - 897475/4131531*c_1001_2 + 3458449/4131531, c_1001_0 + 257641/1377177*c_1001_2^12 - 1696027/1377177*c_1001_2^11 + 20944/24161*c_1001_2^10 + 2931121/459059*c_1001_2^9 - 5521456/1377177*c_1001_2^8 - 4558530/459059*c_1001_2^7 + 1418389/459059*c_1001_2^6 + 3112412/1377177*c_1001_2^5 + 2470909/1377177*c_1001_2^4 + 2995573/1377177*c_1001_2^3 - 573317/1377177*c_1001_2^2 + 118120/1377177*c_1001_2 - 1039114/1377177, c_1001_2^13 - 6*c_1001_2^12 + 2*c_1001_2^11 + 30*c_1001_2^10 - c_1001_2^9 - 31*c_1001_2^8 - 6*c_1001_2^7 - c_1001_2^6 + 12*c_1001_2^5 - c_1001_2^4 + 2*c_1001_2^3 - c_1001_2^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB