Magma V2.19-8 Tue Aug 20 2013 23:58:15 on localhost [Seed = 2050757325] Type ? for help. Type -D to quit. Loading file "L14n39129__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39129 geometric_solution 11.76597061 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 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 1 4 -5 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262621153299 1.020122489292 0 5 6 3 0132 0132 0132 1302 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 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 0.763323291473 0.919344196106 7 0 5 8 0132 0132 0132 0132 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 0 0 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 0.326235812219 0.673301694658 8 9 1 0 1023 0132 2031 0132 0 0 0 0 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 4 0 -4 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064689780623 0.756983071590 10 6 0 5 0132 0132 0132 3012 0 0 1 1 0 0 1 -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 0 5 -5 0 0 1 -1 6 -6 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513344959235 0.960563129260 11 1 4 2 0132 0132 1230 0132 0 1 1 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 1 -1 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419705813193 0.828418274793 7 4 9 1 3012 0132 0321 0132 0 0 1 1 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 -1 0 0 0 0 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742608976168 0.742099225797 2 11 10 6 0132 0132 1230 1230 0 1 1 0 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 0 0 0 0 0 0 -1 -6 0 7 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985281229154 0.968651203532 11 3 2 9 3120 1023 0132 2103 0 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 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 0.568847949635 1.182062779242 10 3 6 8 2310 0132 0321 2103 0 1 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 -4 0 4 0 0 -1 1 0 0 0 0 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568847949635 1.182062779242 4 11 9 7 0132 0213 3201 3012 0 0 1 1 0 0 -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 -5 5 0 0 0 0 1 -1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671900511657 0.799649570060 5 7 10 8 0132 0132 0213 3120 0 1 0 1 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 1 -1 5 -5 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384080268002 0.733025113597 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_0_11' : 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_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_1100_9' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0011_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : d['c_0101_0'], 'c_1100_8' : d['c_0101_10'], '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'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_5'], '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_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_1']})} 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_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 110619946/12389003*c_1001_1*c_1001_5^5 - 341550178/12389003*c_1001_1*c_1001_5^4 - 188748365/24778006*c_1001_1*c_1001_5^3 + 1131590479/49556012*c_1001_1*c_1001_5^2 - 53427879/24778006*c_1001_1*c_1001_5 - 287656269/49556012*c_1001_1 + 13639210972/706173171*c_1001_5^5 + 26881428536/706173171*c_1001_5^4 - 3809385331/235391057*c_1001_5^3 - 8070586869/470782114*c_1001_5^2 + 27194434231/1412346342*c_1001_5 - 2742039061/235391057, c_0011_0 - 1, c_0011_10 - 14584/10393*c_1001_1*c_1001_5^5 - 23680/10393*c_1001_1*c_1001_5^4 + 17386/10393*c_1001_1*c_1001_5^3 + 14243/10393*c_1001_1*c_1001_5^2 - 2363/10393*c_1001_1*c_1001_5 + 1965/10393*c_1001_1 + 4120/10393*c_1001_5^5 + 15264/10393*c_1001_5^4 + 16798/10393*c_1001_5^3 - 375/10393*c_1001_5^2 - 6721/10393*c_1001_5 + 5545/10393, c_0011_3 - 72/547*c_1001_5^5 + 464/547*c_1001_5^4 + 998/547*c_1001_5^3 - 567/547*c_1001_5^2 - 198/547*c_1001_5 + 551/547, c_0101_0 - 1, c_0101_1 + 608/547*c_1001_1*c_1001_5^5 + 944/547*c_1001_1*c_1001_5^4 - 648/547*c_1001_1*c_1001_5^3 + 412/547*c_1001_1*c_1001_5^2 + 578/547*c_1001_1*c_1001_5 + 27/547*c_1001_1 - 1, c_0101_10 - 208/547*c_1001_1*c_1001_5^5 + 368/547*c_1001_1*c_1001_5^4 + 452/547*c_1001_1*c_1001_5^3 - 1638/547*c_1001_1*c_1001_5^2 + 522/547*c_1001_1*c_1001_5 - 110/547*c_1001_1 + 984/547*c_1001_5^5 + 952/547*c_1001_5^4 - 1970/547*c_1001_5^3 + 91/547*c_1001_5^2 + 518/547*c_1001_5 + 310/547, c_0101_3 + 272/547*c_1001_1*c_1001_5^5 + 192/547*c_1001_1*c_1001_5^4 - 1096/547*c_1001_1*c_1001_5^3 - 46/547*c_1001_1*c_1001_5^2 + 201/547*c_1001_1*c_1001_5 - 319/547*c_1001_1 + c_1001_5, c_0101_5 - 984/547*c_1001_1*c_1001_5^5 - 952/547*c_1001_1*c_1001_5^4 + 1970/547*c_1001_1*c_1001_5^3 - 91/547*c_1001_1*c_1001_5^2 - 518/547*c_1001_1*c_1001_5 - 310/547*c_1001_1 + 984/547*c_1001_5^5 + 952/547*c_1001_5^4 - 1970/547*c_1001_5^3 + 91/547*c_1001_5^2 + 518/547*c_1001_5 + 310/547, c_0101_6 - 72/547*c_1001_1*c_1001_5^5 + 464/547*c_1001_1*c_1001_5^4 + 998/547*c_1001_1*c_1001_5^3 - 567/547*c_1001_1*c_1001_5^2 + 349/547*c_1001_1*c_1001_5 + 4/547*c_1001_1 + 912/547*c_1001_5^5 + 1416/547*c_1001_5^4 - 972/547*c_1001_5^3 - 476/547*c_1001_5^2 - 227/547*c_1001_5 + 314/547, c_0101_7 - 984/547*c_1001_1*c_1001_5^5 - 952/547*c_1001_1*c_1001_5^4 + 1970/547*c_1001_1*c_1001_5^3 - 91/547*c_1001_1*c_1001_5^2 - 518/547*c_1001_1*c_1001_5 - 310/547*c_1001_1 + 912/547*c_1001_5^5 + 1416/547*c_1001_5^4 - 972/547*c_1001_5^3 - 476/547*c_1001_5^2 - 227/547*c_1001_5 + 314/547, c_1001_1^2 - 7016/10393*c_1001_1*c_1001_5^5 + 968/10393*c_1001_1*c_1001_5^4 + 32582/10393*c_1001_1*c_1001_5^3 - 6021/10393*c_1001_1*c_1001_5^2 - 18200/10393*c_1001_1*c_1001_5 - 765/10393*c_1001_1 + 3448/10393*c_1001_5^5 + 9384/10393*c_1001_5^4 - 1602/10393*c_1001_5^3 - 19889/10393*c_1001_5^2 - 9116/10393*c_1001_5 + 12511/10393, c_1001_5^6 + 2*c_1001_5^5 - 3/4*c_1001_5^4 - 9/8*c_1001_5^3 + 7/8*c_1001_5^2 + 3/8*c_1001_5 + 3/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB