Magma V2.19-8 Tue Aug 20 2013 17:59:22 on localhost [Seed = 4071835247] Type ? for help. Type -D to quit. Loading file "10^2_65__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_65 geometric_solution 12.93966462 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 1 3 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 1 1 -2 1 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 0.404168047998 0.513375479800 0 0 5 4 0132 1230 0132 0132 0 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 0 0 0 0 0 1 -1 0 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963240793004 0.829939050113 6 0 7 6 0132 0132 0132 2031 1 0 0 1 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 -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 0.468789966264 1.008943691696 5 8 0 6 0132 0132 0132 2103 1 0 0 1 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 0 0 0 0 1.168151459454 1.112190521272 9 10 1 10 0132 0132 0132 1230 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 -1 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160638468384 1.357385158920 3 7 11 1 0132 1023 0132 0132 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 0 0 0 0 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 0.631821351974 0.514095676275 2 2 10 3 0132 1302 1023 2103 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 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 0.621250649222 0.815155604218 5 12 8 2 1023 0132 0321 0132 1 0 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 1 -1 0 0 0 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 0.022107561001 1.498467596784 13 3 7 12 0132 0132 0321 0132 1 0 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 0 0 0 0 2 -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 1.175915945612 0.869074542303 4 11 11 10 0132 0213 2103 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.238484109761 1.164063863421 4 4 6 9 3012 0132 1023 1023 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329546210866 0.532930232039 9 13 9 5 2103 2310 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393558203483 0.601598586057 13 7 8 13 1023 0132 0132 3012 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 0 0 0 0 0 0 1 -1 -1 0 1 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 0.144324730200 0.571415047170 8 12 12 11 0132 1023 1230 3201 0 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 0 0 0 0 0 1 0 -1 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 0.144324730200 0.571415047170 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0101_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0101_0'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 'c_0101_13' : d['c_0101_12'], '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_13' : 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_12']), 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_1001_8'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : d['c_0101_5'], 'c_1100_13' : negation(d['c_0011_11']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_1001_8']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : d['1'], 's_2_8' : 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' : negation(d['c_0101_12']), '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' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : negation(d['c_0101_7']), 'c_0110_12' : negation(d['c_0011_11']), 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_10'], 'c_0101_8' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_5']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_5, c_0101_7, c_0110_10, c_1001_12, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 28038/33649*c_1001_8^5 - 157613/67298*c_1001_8^4 - 195957/33649*c_1001_8^3 - 376015/67298*c_1001_8^2 + 62393/67298*c_1001_8 + 357431/67298, c_0011_0 - 1, c_0011_10 - 29/437*c_1001_8^5 - 120/437*c_1001_8^4 - 281/437*c_1001_8^3 - 493/437*c_1001_8^2 - 64/437*c_1001_8 + 102/437, c_0011_11 - 14/437*c_1001_8^5 - 73/437*c_1001_8^4 - 211/437*c_1001_8^3 - 238/437*c_1001_8^2 - 272/437*c_1001_8 + 215/437, c_0011_12 + 48/437*c_1001_8^5 + 63/437*c_1001_8^4 + 224/437*c_1001_8^3 - 58/437*c_1001_8^2 + 121/437*c_1001_8 + 449/437, c_0101_0 - 1, c_0101_1 - 3/437*c_1001_8^5 + 78/437*c_1001_8^4 - 14/437*c_1001_8^3 + 386/437*c_1001_8^2 + 129/437*c_1001_8 + 327/437, c_0101_10 - 63/437*c_1001_8^5 - 110/437*c_1001_8^4 - 294/437*c_1001_8^3 - 197/437*c_1001_8^2 + 87/437*c_1001_8 - 125/437, c_0101_12 + 1, c_0101_2 + 15/437*c_1001_8^5 + 47/437*c_1001_8^4 + 70/437*c_1001_8^3 + 255/437*c_1001_8^2 + 229/437*c_1001_8 + 113/437, c_0101_5 + 30/437*c_1001_8^5 + 94/437*c_1001_8^4 + 140/437*c_1001_8^3 + 73/437*c_1001_8^2 - 416/437*c_1001_8 + 226/437, c_0101_7 - 18/437*c_1001_8^5 + 31/437*c_1001_8^4 - 84/437*c_1001_8^3 + 131/437*c_1001_8^2 - 100/437*c_1001_8 - 223/437, c_0110_10 + 18/437*c_1001_8^5 - 31/437*c_1001_8^4 + 84/437*c_1001_8^3 - 131/437*c_1001_8^2 + 100/437*c_1001_8 - 214/437, c_1001_12 - 18/437*c_1001_8^5 + 31/437*c_1001_8^4 - 84/437*c_1001_8^3 + 131/437*c_1001_8^2 - 100/437*c_1001_8 + 214/437, c_1001_8^6 + 2*c_1001_8^5 + 5*c_1001_8^4 + 2*c_1001_8^3 - 4*c_1001_8^2 - 2*c_1001_8 + 7 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_5, c_0101_7, c_0110_10, c_1001_12, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 82996109/26116032*c_1001_8^7 - 112423295/26116032*c_1001_8^6 + 1293205/458176*c_1001_8^5 - 237000345/8705344*c_1001_8^4 - 238467943/6529008*c_1001_8^3 + 322608173/6529008*c_1001_8^2 - 1742986867/26116032*c_1001_8 - 794407911/8705344, c_0011_0 - 1, c_0011_10 + 4577/21477*c_1001_8^7 + 6349/21477*c_1001_8^6 - 2782/21477*c_1001_8^5 + 13575/7159*c_1001_8^4 + 49843/21477*c_1001_8^3 - 63793/21477*c_1001_8^2 + 105179/21477*c_1001_8 + 108277/21477, c_0011_11 + 1652/21477*c_1001_8^7 + 1060/7159*c_1001_8^6 + 316/21477*c_1001_8^5 + 4773/7159*c_1001_8^4 + 22537/21477*c_1001_8^3 - 7552/7159*c_1001_8^2 + 7306/7159*c_1001_8 + 42899/21477, c_0011_12 - 1318/21477*c_1001_8^7 - 343/7159*c_1001_8^6 + 2140/21477*c_1001_8^5 - 3834/7159*c_1001_8^4 - 7502/21477*c_1001_8^3 + 10116/7159*c_1001_8^2 - 8429/7159*c_1001_8 - 40336/21477, c_0101_0 - 1, c_0101_1 - 7457/21477*c_1001_8^7 - 2826/7159*c_1001_8^6 + 7154/21477*c_1001_8^5 - 22572/7159*c_1001_8^4 - 74416/21477*c_1001_8^3 + 38180/7159*c_1001_8^2 - 60514/7159*c_1001_8 - 177275/21477, c_0101_10 - 710/21477*c_1001_8^7 - 500/21477*c_1001_8^6 + 989/7159*c_1001_8^5 - 1696/7159*c_1001_8^4 - 9712/21477*c_1001_8^3 + 20987/21477*c_1001_8^2 - 17359/21477*c_1001_8 - 14105/7159, c_0101_12 - 1, c_0101_2 - 975/7159*c_1001_8^7 - 3169/21477*c_1001_8^6 + 3098/21477*c_1001_8^5 - 8802/7159*c_1001_8^4 - 9102/7159*c_1001_8^3 + 41137/21477*c_1001_8^2 - 61784/21477*c_1001_8 - 65378/21477, c_0101_5 - 244/7159*c_1001_8^7 - 71/7159*c_1001_8^6 + 92/7159*c_1001_8^5 - 3987/7159*c_1001_8^4 - 2410/7159*c_1001_8^3 + 4369/7159*c_1001_8^2 - 18630/7159*c_1001_8 - 9803/7159, c_0101_7 + 586/21477*c_1001_8^7 + 272/7159*c_1001_8^6 - 1864/21477*c_1001_8^5 - 153/7159*c_1001_8^4 + 272/21477*c_1001_8^3 - 5747/7159*c_1001_8^2 - 3042/7159*c_1001_8 + 10927/21477, c_0110_10 + 4532/21477*c_1001_8^7 + 5309/21477*c_1001_8^6 - 1352/7159*c_1001_8^5 + 13770/7159*c_1001_8^4 + 47110/21477*c_1001_8^3 - 73403/21477*c_1001_8^2 + 119758/21477*c_1001_8 + 37299/7159, c_1001_12 - 4532/21477*c_1001_8^7 - 5309/21477*c_1001_8^6 + 1352/7159*c_1001_8^5 - 13770/7159*c_1001_8^4 - 47110/21477*c_1001_8^3 + 73403/21477*c_1001_8^2 - 119758/21477*c_1001_8 - 37299/7159, c_1001_8^8 + 2*c_1001_8^7 + 8*c_1001_8^5 + 17*c_1001_8^4 - 8*c_1001_8^3 + 11*c_1001_8^2 + 42*c_1001_8 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.740 Total time: 0.950 seconds, Total memory usage: 32.09MB