Magma V2.19-8 Wed Aug 21 2013 00:58:53 on localhost [Seed = 2395510262] Type ? for help. Type -D to quit. Loading file "L13n59__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n59 geometric_solution 12.26346635 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714388699884 0.811282450716 0 5 2 6 0132 0132 2103 0132 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895652706441 0.930570713828 1 0 8 7 2103 0132 0132 0132 1 1 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 1 -1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809563774737 0.566190968559 8 9 10 0 2103 0132 0132 0132 1 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 -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 0.123002058371 1.020529299028 6 7 0 11 3201 2031 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.091912821731 0.804271661979 9 1 7 9 0213 0132 3012 3012 1 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 1 0 -1 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 0.765054682581 0.959011144704 8 11 1 4 0213 3120 0132 2310 1 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 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 0 0 0 0 -0.007387351598 1.004044364308 4 5 2 8 1302 1230 0132 3201 1 1 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 0 0 0 0 0 0 0 3 0 1 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745669463872 0.581600159668 6 7 3 2 0213 2310 2103 0132 1 1 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 0 0 0 0 0 0 1 0 0 -1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939808546790 0.704590285288 5 3 5 11 0213 0132 1230 2310 1 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 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 0.240993858928 0.983700373585 12 12 12 3 0132 1302 3012 0132 1 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 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 0.818973382951 1.037905765015 9 6 4 12 3201 3120 0132 3012 1 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477747613716 0.419852520968 10 10 11 10 0132 1230 1230 2031 1 1 0 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 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 0.163084248925 0.935034222600 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_11']), 'c_1001_2' : negation(d['c_0110_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_3'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0110_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_12']), 'c_1100_3' : negation(d['c_1001_12']), 'c_1100_2' : negation(d['c_0011_8']), 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_1001_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : negation(d['c_0110_7']), 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : negation(d['c_0110_7']), 'c_1100_8' : negation(d['c_0011_8']), '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_0110_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(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_3, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_1, c_0110_11, c_0110_7, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 20017836323/13328342834736*c_1001_12^4 + 642964213/182580038832*c_1001_12^3 - 352626438109/13328342834736*c_1001_12^2 + 51657507671/2221390472456*c_1001_12 - 1292028154801/13328342834736, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 98/2683*c_1001_12^4 - 108/2683*c_1001_12^3 + 1076/2683*c_1001_12^2 - 1514/2683*c_1001_12 + 430/2683, c_0011_3 + 162/2683*c_1001_12^4 + 150/2683*c_1001_12^3 - 302/2683*c_1001_12^2 + 16/2683*c_1001_12 - 1/2683, c_0011_4 - 83/2683*c_1001_12^4 + 420/2683*c_1001_12^3 - 309/2683*c_1001_12^2 + 1118/2683*c_1001_12 + 1607/2683, c_0011_6 + 196/2683*c_1001_12^4 - 216/2683*c_1001_12^3 + 2152/2683*c_1001_12^2 - 345/2683*c_1001_12 + 860/2683, c_0011_7 + 98/2683*c_1001_12^4 - 108/2683*c_1001_12^3 + 1076/2683*c_1001_12^2 + 1169/2683*c_1001_12 + 430/2683, c_0011_8 + 71/2683*c_1001_12^4 - 133/2683*c_1001_12^3 + 232/2683*c_1001_12^2 + 272/2683*c_1001_12 + 2666/2683, c_0101_1 - 59/2683*c_1001_12^4 - 154/2683*c_1001_12^3 - 155/2683*c_1001_12^2 - 1662/2683*c_1001_12 - 1573/2683, c_0110_11 - 196/2683*c_1001_12^4 + 216/2683*c_1001_12^3 - 2152/2683*c_1001_12^2 + 3028/2683*c_1001_12 - 860/2683, c_0110_7 - 74/2683*c_1001_12^4 - 466/2683*c_1001_12^3 - 922/2683*c_1001_12^2 - 3949/2683*c_1001_12 - 3610/2683, c_1001_0 - 162/2683*c_1001_12^4 - 150/2683*c_1001_12^3 + 302/2683*c_1001_12^2 - 16/2683*c_1001_12 + 5367/2683, c_1001_12^5 + 12*c_1001_12^3 + 19*c_1001_12^2 + 41*c_1001_12 + 73 ], 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_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_1, c_0110_11, c_0110_7, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 128295251/60917339136*c_1001_12^6 - 1495386449/182752017408*c_1001_12^5 - 670817911/45688004352*c_1001_12^4 + 566523641/5895226368*c_1001_12^3 - 5749514497/91376008704*c_1001_12^2 - 698076799/3807333696*c_1001_12 + 39146619455/182752017408, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 6/31*c_1001_12^6 + 19/62*c_1001_12^5 + 86/31*c_1001_12^4 - 4*c_1001_12^3 - 691/62*c_1001_12^2 + 619/62*c_1001_12 + 1015/62, c_0011_3 - 437/992*c_1001_12^6 + 927/992*c_1001_12^5 + 1367/248*c_1001_12^4 - 365/32*c_1001_12^3 - 506/31*c_1001_12^2 + 11001/496*c_1001_12 + 21791/992, c_0011_4 + 137/496*c_1001_12^6 - 235/496*c_1001_12^5 - 447/124*c_1001_12^4 + 97/16*c_1001_12^3 + 376/31*c_1001_12^2 - 3093/248*c_1001_12 - 8475/496, c_0011_6 + 12/31*c_1001_12^6 - 19/31*c_1001_12^5 - 172/31*c_1001_12^4 + 8*c_1001_12^3 + 691/31*c_1001_12^2 - 588/31*c_1001_12 - 1015/31, c_0011_7 - 6/31*c_1001_12^6 + 19/62*c_1001_12^5 + 86/31*c_1001_12^4 - 4*c_1001_12^3 - 691/62*c_1001_12^2 + 557/62*c_1001_12 + 1015/62, c_0011_8 - 29/496*c_1001_12^6 + 95/496*c_1001_12^5 + 91/124*c_1001_12^4 - 37/16*c_1001_12^3 - 149/62*c_1001_12^2 + 1253/248*c_1001_12 + 2719/496, c_0101_1 - 5/248*c_1001_12^6 - 5/248*c_1001_12^5 + 5/62*c_1001_12^4 + 3/8*c_1001_12^3 + 63/62*c_1001_12^2 - 265/124*c_1001_12 - 861/248, c_0110_11 - 12/31*c_1001_12^6 + 19/31*c_1001_12^5 + 172/31*c_1001_12^4 - 8*c_1001_12^3 - 691/31*c_1001_12^2 + 619/31*c_1001_12 + 1015/31, c_0110_7 + 1/16*c_1001_12^6 - 3/16*c_1001_12^5 - 3/4*c_1001_12^4 + 39/16*c_1001_12^3 + 2*c_1001_12^2 - 45/8*c_1001_12 - 67/16, c_1001_0 + 437/992*c_1001_12^6 - 927/992*c_1001_12^5 - 1367/248*c_1001_12^4 + 365/32*c_1001_12^3 + 506/31*c_1001_12^2 - 11001/496*c_1001_12 - 23775/992, c_1001_12^7 - 4*c_1001_12^6 - 9*c_1001_12^5 + 51*c_1001_12^4 - 7*c_1001_12^3 - 138*c_1001_12^2 + 39*c_1001_12 + 131 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.580 seconds, Total memory usage: 32.09MB