Magma V2.19-8 Wed Aug 21 2013 01:05:34 on localhost [Seed = 1208897736] Type ? for help. Type -D to quit. Loading file "L14n26393__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26393 geometric_solution 12.30485042 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 0 0 0 0 0 -1 0 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 1 0 -1 2 0 -2 0 1 -3 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.309098266327 1.673363451738 0 5 4 6 0132 0132 1230 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 0.419466573472 0.404576761060 3 0 8 7 1023 0132 0132 0132 1 1 0 1 0 0 -1 1 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 3 -2 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313408763582 0.762102455577 6 2 5 0 0132 1023 2031 0132 1 1 0 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 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 0 0.256231021335 0.625743060085 9 10 0 1 0132 0132 0132 3012 1 1 1 1 0 0 0 0 0 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 1 -1 0 0 0 0 0 2 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025358365907 0.762217695235 6 1 11 3 1023 0132 0132 1302 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 0 0 0 0 0 0 0 -2 2 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 0.163709797950 1.034504215001 3 5 1 12 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931636204226 1.023390200402 11 11 2 10 1302 3012 0132 3120 1 1 1 0 0 0 -1 1 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 2 -2 0 0 0 0 2 0 0 -2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701867744226 0.904449018966 12 10 10 2 1302 0321 1023 0132 1 1 1 1 0 0 -1 1 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 3 -3 0 0 0 0 -3 0 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685187089158 0.949209579327 4 11 12 12 0132 0213 0132 1230 1 1 1 1 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 0 0 0 0 0 0 0 3 -3 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381358877806 0.865010930033 7 4 8 8 3120 0132 1023 0321 1 1 1 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 -3 3 2 -2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586986126951 1.112574634273 7 7 9 5 1230 2031 0213 0132 1 1 0 1 0 1 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 0 0 0 -2 0 2 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701867744226 0.904449018966 9 8 6 9 3012 2031 0132 0132 1 1 1 1 0 -1 0 1 -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 3 0 -3 3 0 0 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942531442391 0.857797616126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_2'], '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' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : 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' : 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' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_9'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0101_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_12'], '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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_9'], '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_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_12']), '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_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 911830/75411*c_1001_2^5 + 3229474/75411*c_1001_2^4 - 489319/8379*c_1001_2^3 - 3341116/75411*c_1001_2^2 + 61328/931*c_1001_2 - 1553899/75411, c_0011_0 - 1, c_0011_10 - 20/3*c_1001_2^5 + 106/3*c_1001_2^4 - 254/3*c_1001_2^3 + 83*c_1001_2^2 - 91/3*c_1001_2 + 3, c_0011_11 - 35/3*c_1001_2^5 + 203/3*c_1001_2^4 - 536/3*c_1001_2^3 + 652/3*c_1001_2^2 - 359/3*c_1001_2 + 25, c_0011_12 - 1, c_0011_7 - 95/3*c_1001_2^5 + 172*c_1001_2^4 - 1289/3*c_1001_2^3 + 1412/3*c_1001_2^2 - 235*c_1001_2 + 45, c_0011_8 - 10/3*c_1001_2^5 + 16*c_1001_2^4 - 103/3*c_1001_2^3 + 73/3*c_1001_2^2 - 3*c_1001_2 - 1, c_0101_0 - 35/3*c_1001_2^4 + 56*c_1001_2^3 - 368/3*c_1001_2^2 + 284/3*c_1001_2 - 24, c_0101_10 - c_1001_2 + 1, c_0101_12 - 80/3*c_1001_2^5 + 419/3*c_1001_2^4 - 1007/3*c_1001_2^3 + 1009/3*c_1001_2^2 - 437/3*c_1001_2 + 23, c_0101_2 - 25/3*c_1001_2^5 + 40*c_1001_2^4 - 265/3*c_1001_2^3 + 211/3*c_1001_2^2 - 23*c_1001_2 + 2, c_0101_9 + 15*c_1001_2^5 - 251/3*c_1001_2^4 + 213*c_1001_2^3 - 725/3*c_1001_2^2 + 362/3*c_1001_2 - 22, c_1001_1 + 70/3*c_1001_2^5 - 371/3*c_1001_2^4 + 904/3*c_1001_2^3 - 312*c_1001_2^2 + 431/3*c_1001_2 - 25, c_1001_2^6 - 29/5*c_1001_2^5 + 78/5*c_1001_2^4 - 20*c_1001_2^3 + 66/5*c_1001_2^2 - 22/5*c_1001_2 + 3/5 ], 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_12, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1294/2727*c_1001_2^5 - 10295/8181*c_1001_2^4 + 14698/8181*c_1001_2^3 + 77182/8181*c_1001_2^2 - 20105/8181*c_1001_2 - 52360/2727, c_0011_0 - 1, c_0011_10 - 4/303*c_1001_2^5 + 19/303*c_1001_2^4 + 115/303*c_1001_2^3 + 121/303*c_1001_2^2 - 478/303*c_1001_2 - 13/101, c_0011_11 - 19/303*c_1001_2^5 - 12/101*c_1001_2^4 + 39/101*c_1001_2^3 + 99/101*c_1001_2^2 - 503/303*c_1001_2 - 87/101, c_0011_12 - 1, c_0011_7 - 20/303*c_1001_2^5 - 2/101*c_1001_2^4 + 57/101*c_1001_2^3 + 67/101*c_1001_2^2 - 673/303*c_1001_2 - 65/101, c_0011_8 + 16/303*c_1001_2^5 + 25/303*c_1001_2^4 - 56/303*c_1001_2^3 - 80/303*c_1001_2^2 + 65/101*c_1001_2 + 52/101, c_0101_0 - 67/303*c_1001_2^5 - 37/101*c_1001_2^4 + 95/101*c_1001_2^3 + 280/101*c_1001_2^2 - 1088/303*c_1001_2 - 243/101, c_0101_10 + 19/303*c_1001_2^5 + 12/101*c_1001_2^4 - 39/101*c_1001_2^3 - 99/101*c_1001_2^2 + 503/303*c_1001_2 + 87/101, c_0101_12 - 5/303*c_1001_2^5 + 49/303*c_1001_2^4 + 169/303*c_1001_2^3 + 25/303*c_1001_2^2 - 216/101*c_1001_2 + 9/101, c_0101_2 - c_1001_2 - 1, c_0101_9 - 4/303*c_1001_2^5 + 19/303*c_1001_2^4 + 115/303*c_1001_2^3 + 121/303*c_1001_2^2 - 478/303*c_1001_2 - 114/101, c_1001_1 - 4/303*c_1001_2^5 + 19/303*c_1001_2^4 + 115/303*c_1001_2^3 + 121/303*c_1001_2^2 - 175/303*c_1001_2 - 114/101, c_1001_2^6 + 2*c_1001_2^5 - 4*c_1001_2^4 - 16*c_1001_2^3 + 10*c_1001_2^2 + 21*c_1001_2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB