Magma V2.19-8 Tue Aug 20 2013 23:53:20 on localhost [Seed = 239625725] Type ? for help. Type -D to quit. Loading file "L13n577__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n577 geometric_solution 11.38178609 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 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 0 -1 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 1.037550399794 1.022776234324 0 5 7 6 0132 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 1 0 -1 0 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 0.686889362363 0.551744530201 8 0 9 4 0132 0132 0132 0213 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 0 0 -1 0 0 1 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242707453196 0.959731880493 6 7 7 0 0132 3012 3120 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225923878401 0.593822182718 6 5 0 2 1302 1302 0132 0213 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 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 0.909948806718 0.773836408910 10 1 11 4 0132 0132 0132 2031 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 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 0.242707453196 0.959731880493 3 4 1 7 0132 2031 0132 0321 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 -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 1.435262916223 0.988766529552 3 6 3 1 1230 0321 3120 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 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 0.813260110562 0.623881657755 2 10 11 11 0132 0132 3012 3120 0 1 1 1 0 2 0 -2 0 0 0 0 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 1 0 -1 0 0 1 -1 -5 0 0 5 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411548718811 0.790943454207 10 10 11 2 3120 1230 1023 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -3 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 -4 0 0 4 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411548718811 0.790943454207 5 8 9 9 0132 0132 3012 3120 0 1 1 1 0 -2 3 -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 -1 2 -1 0 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 0 0 0.411548718811 0.790943454207 8 8 9 5 3120 1230 1023 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 0 -1 -5 5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411548718811 0.790943454207 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : negation(d['1']), 's_0_11' : 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_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : negation(d['c_1010_4']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_1010_4'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1010_4']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_11']), '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_2'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), '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_1100_9' : d['c_1010_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 681223325/3288064*c_0101_8^11 - 2334976387/3288064*c_0101_8^10 - 539542401/173056*c_0101_8^9 + 1047146219/3288064*c_0101_8^8 + 1075953487/126464*c_0101_8^7 - 998710195/1644032*c_0101_8^6 - 15935522855/1644032*c_0101_8^5 + 1997484543/1644032*c_0101_8^4 + 17787181975/3288064*c_0101_8^3 - 3920704023/3288064*c_0101_8^2 - 3697425951/3288064*c_0101_8 + 1215723031/3288064, c_0011_0 - 1, c_0011_11 + 1, c_0011_3 - 47825/13376*c_0101_8^11 - 282189/26752*c_0101_8^10 - 70421/1408*c_0101_8^9 + 716583/26752*c_0101_8^8 + 795365/6688*c_0101_8^7 - 599193/13376*c_0101_8^6 - 1661611/13376*c_0101_8^5 + 49741/1216*c_0101_8^4 + 821763/13376*c_0101_8^3 - 556497/26752*c_0101_8^2 - 321059/26752*c_0101_8 + 104171/26752, c_0011_4 + 40775/6688*c_0101_8^11 + 1874069/107008*c_0101_8^10 + 59205/704*c_0101_8^9 - 5542539/107008*c_0101_8^8 - 656681/3344*c_0101_8^7 + 4788397/53504*c_0101_8^6 + 1359395/6688*c_0101_8^5 - 408173/4864*c_0101_8^4 - 658689/6688*c_0101_8^3 + 4333601/107008*c_0101_8^2 + 249155/13376*c_0101_8 - 852487/107008, c_0011_7 - 27675/26752*c_0101_8^11 - 66023/26752*c_0101_8^10 - 17983/1408*c_0101_8^9 + 211947/13376*c_0101_8^8 + 393257/13376*c_0101_8^7 - 443423/13376*c_0101_8^6 - 430893/13376*c_0101_8^5 + 19875/608*c_0101_8^4 + 420969/26752*c_0101_8^3 - 424163/26752*c_0101_8^2 - 96089/26752*c_0101_8 + 39887/13376, c_0101_0 - 475875/53504*c_0101_8^11 - 1424815/53504*c_0101_8^10 - 354483/2816*c_0101_8^9 + 3216177/53504*c_0101_8^8 + 7859505/26752*c_0101_8^7 - 2632039/26752*c_0101_8^6 - 8145529/26752*c_0101_8^5 + 223207/2432*c_0101_8^4 + 7976577/53504*c_0101_8^3 - 2520627/53504*c_0101_8^2 - 1553349/53504*c_0101_8 + 532293/53504, c_0101_10 + c_0101_8, c_0101_11 - 196725/26752*c_0101_8^11 - 532641/26752*c_0101_8^10 - 138063/1408*c_0101_8^9 + 2125521/26752*c_0101_8^8 + 3031219/13376*c_0101_8^7 - 1853025/13376*c_0101_8^6 - 3053489/13376*c_0101_8^5 + 152879/1216*c_0101_8^4 + 2903583/26752*c_0101_8^3 - 1479101/26752*c_0101_8^2 - 542769/26752*c_0101_8 + 254725/26752, c_0101_2 - 196725/26752*c_0101_8^11 - 532641/26752*c_0101_8^10 - 138063/1408*c_0101_8^9 + 2125521/26752*c_0101_8^8 + 3031219/13376*c_0101_8^7 - 1853025/13376*c_0101_8^6 - 3053489/13376*c_0101_8^5 + 152879/1216*c_0101_8^4 + 2903583/26752*c_0101_8^3 - 1479101/26752*c_0101_8^2 - 569521/26752*c_0101_8 + 254725/26752, c_0101_7 + 40775/6688*c_0101_8^11 + 1874069/107008*c_0101_8^10 + 59205/704*c_0101_8^9 - 5542539/107008*c_0101_8^8 - 656681/3344*c_0101_8^7 + 4788397/53504*c_0101_8^6 + 1359395/6688*c_0101_8^5 - 408173/4864*c_0101_8^4 - 658689/6688*c_0101_8^3 + 4333601/107008*c_0101_8^2 + 249155/13376*c_0101_8 - 852487/107008, c_0101_8^12 + 64/25*c_0101_8^11 + 322/25*c_0101_8^10 - 64/5*c_0101_8^9 - 741/25*c_0101_8^8 + 128/5*c_0101_8^7 + 716/25*c_0101_8^6 - 128/5*c_0101_8^5 - 289/25*c_0101_8^4 + 64/5*c_0101_8^3 + 18/25*c_0101_8^2 - 64/25*c_0101_8 + 13/25, c_1010_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB