Magma V2.19-8 Wed Aug 21 2013 01:04:29 on localhost [Seed = 3313753474] Type ? for help. Type -D to quit. Loading file "L14n24291__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24291 geometric_solution 11.72648623 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 0 -7 7 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395296069832 0.497896855491 0 5 7 6 0132 0132 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716425135551 0.643500152941 7 0 8 6 0132 0132 0132 2031 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 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 0.538269509186 1.002742046027 9 8 10 0 0132 3201 0132 0132 1 1 1 1 0 -1 0 1 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 -8 1 7 1 0 0 -1 1 0 0 -1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616663771339 0.615271707517 8 9 0 10 0132 3120 0132 3201 1 1 1 0 0 0 -1 1 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 -1 -7 8 -1 0 1 0 8 -8 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497898896338 0.598339393801 9 1 7 11 3201 0132 1023 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 8 -8 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.105416563048 0.578119270985 12 2 1 10 0132 1302 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 0.478504780488 0.539735378255 2 11 5 1 0132 0132 1023 0132 1 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 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154385578292 0.658249706508 4 12 3 2 0132 2103 2310 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 -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 0 -1 1 0 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563435541633 1.285676557232 3 4 12 5 0132 3120 0132 2310 0 1 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 0 0 0 -1 0 1 -1 0 0 1 -8 8 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493991060954 0.888079353660 11 4 6 3 3201 2310 0132 0132 1 1 1 1 0 0 0 0 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 1 -1 0 0 0 0 -8 0 0 8 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.411522900444 0.457052897967 12 7 5 10 2310 0132 0132 2310 1 1 1 0 0 -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 -8 0 8 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794810606535 0.453712622341 6 8 11 9 0132 2103 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509640840248 0.779026240311 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_2']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_2']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_4'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : d['c_0011_0'], 'c_1100_8' : d['c_0011_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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_0011_0'], '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' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], '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_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 174999412/4353*c_1001_2^8 - 2848314377/13059*c_1001_2^7 - 134622733/1451*c_1001_2^6 + 11034630136/13059*c_1001_2^5 + 1279885348/1451*c_1001_2^4 + 1419413095/1451*c_1001_2^3 + 895396136/1451*c_1001_2^2 + 2902558075/13059*c_1001_2 + 1234402706/13059, c_0011_0 - 1, c_0011_10 - 163/2902*c_1001_2^8 - 2061/2902*c_1001_2^7 - 6381/2902*c_1001_2^6 + 1733/1451*c_1001_2^5 + 16243/1451*c_1001_2^4 + 10602/1451*c_1001_2^3 + 3778/1451*c_1001_2^2 + 1563/1451*c_1001_2 - 4065/2902, c_0011_12 + 677/1451*c_1001_2^8 + 4987/2902*c_1001_2^7 - 4360/1451*c_1001_2^6 - 28355/2902*c_1001_2^5 + 23881/2902*c_1001_2^4 - 2043/2902*c_1001_2^3 + 6357/2902*c_1001_2^2 + 4967/2902*c_1001_2 - 3149/2902, c_0011_3 - 513/1451*c_1001_2^8 - 4169/2902*c_1001_2^7 + 2813/1451*c_1001_2^6 + 25867/2902*c_1001_2^5 - 11859/2902*c_1001_2^4 - 15611/2902*c_1001_2^3 - 1675/2902*c_1001_2^2 - 2765/2902*c_1001_2 + 2249/2902, c_0011_4 + 297/1451*c_1001_2^8 + 1245/1451*c_1001_2^7 - 1094/1451*c_1001_2^6 - 6075/1451*c_1001_2^5 + 1180/1451*c_1001_2^4 - 3767/1451*c_1001_2^3 + 1134/1451*c_1001_2^2 + 1755/1451*c_1001_2 - 231/1451, c_0101_0 - 1, c_0101_1 + 1372/1451*c_1001_2^8 + 7173/1451*c_1001_2^7 + 931/1451*c_1001_2^6 - 33340/1451*c_1001_2^5 - 24634/1451*c_1001_2^4 - 9966/1451*c_1001_2^3 - 2676/1451*c_1001_2^2 + 4150/1451*c_1001_2 + 1190/1451, c_0101_10 + 2687/2902*c_1001_2^8 + 14195/2902*c_1001_2^7 + 2497/2902*c_1001_2^6 - 32823/1451*c_1001_2^5 - 25568/1451*c_1001_2^4 - 9392/1451*c_1001_2^3 - 3972/1451*c_1001_2^2 + 3388/1451*c_1001_2 + 1457/2902, c_0101_3 + 2711/2902*c_1001_2^8 + 15175/2902*c_1001_2^7 + 6659/2902*c_1001_2^6 - 33728/1451*c_1001_2^5 - 36630/1451*c_1001_2^4 - 13223/1451*c_1001_2^3 - 2739/1451*c_1001_2^2 + 3327/1451*c_1001_2 + 6275/2902, c_0101_7 + 908/1451*c_1001_2^8 + 7891/2902*c_1001_2^7 - 3115/1451*c_1001_2^6 - 40707/2902*c_1001_2^5 + 5725/2902*c_1001_2^4 - 6613/2902*c_1001_2^3 - 3487/2902*c_1001_2^2 + 7697/2902*c_1001_2 - 2541/2902, c_0101_8 - 6103/2902*c_1001_2^8 - 14206/1451*c_1001_2^7 + 12597/2902*c_1001_2^6 + 143829/2902*c_1001_2^5 + 27749/2902*c_1001_2^4 + 13837/2902*c_1001_2^3 - 4967/2902*c_1001_2^2 - 13111/2902*c_1001_2 + 1003/1451, c_1001_1 + 1255/1451*c_1001_2^8 + 6023/1451*c_1001_2^7 - 1584/1451*c_1001_2^6 - 29232/1451*c_1001_2^5 - 10369/1451*c_1001_2^4 - 7075/1451*c_1001_2^3 + 175/1451*c_1001_2^2 + 1480/1451*c_1001_2 - 170/1451, c_1001_2^9 + 5*c_1001_2^8 - 22*c_1001_2^6 - 13*c_1001_2^5 - 15*c_1001_2^4 - 5*c_1001_2^3 + c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB