Magma V2.19-8 Tue Aug 20 2013 23:41:20 on localhost [Seed = 543573140] Type ? for help. Type -D to quit. Loading file "L12n1321__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1321 geometric_solution 10.46086944 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 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 1 0 -1 -3 0 4 -1 1 -1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551149431395 0.512883243167 0 5 6 5 0132 0132 0132 1302 0 0 0 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 0 0 0 0 0 0 0 3 0 0 -3 -3 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102298862791 1.025766486335 3 0 8 7 0213 0132 0132 0132 1 0 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 0 0 0 0 -1 1 0 0 0 0 0 -4 3 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592547239789 1.370558000074 2 9 4 0 0213 0132 0213 0132 1 0 0 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779829036056 1.025708963762 5 3 0 10 0132 0213 0132 0132 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 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 0.513818871900 0.452425675402 4 1 1 7 0132 0132 2031 3120 0 0 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 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903733389928 0.965280157283 7 9 10 1 3120 3012 1302 0132 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 0 0 0 -1 1 0 0 0 0 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791996424050 0.715150809018 5 9 2 6 3120 0213 0132 3120 1 0 1 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 3 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072496410862 0.546406569341 10 9 10 2 3120 0321 2310 0132 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 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 0.347442600949 0.885562503574 6 3 7 8 1230 0132 0213 0321 1 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 0 0 0 0 0 0 0 2 0 -3 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 0.698062068079 0.962551979375 6 8 4 8 2031 3201 0132 3120 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 0 0 1 -1 -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 0.347442600949 0.885562503574 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_0011_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_8']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_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' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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_10' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 197184673599185/14435055783064*c_1001_2^7 + 225527794746829/1031075413076*c_1001_2^6 - 7137781874964523/14435055783064*c_1001_2^5 + 8698829829812061/3608763945766*c_1001_2^4 - 75534209410668/94967472257*c_1001_2^3 - 1385213233202635/3608763945766*c_1001_2^2 - 564636605073753/1804381972883*c_1001_2 + 16432264644188817/14435055783064, c_0011_0 - 1, c_0011_10 + 133339681/8315124299*c_1001_2^7 - 2059640814/8315124299*c_1001_2^6 + 3663770821/8315124299*c_1001_2^5 - 21477934798/8315124299*c_1001_2^4 - 246418343/437638121*c_1001_2^3 + 2239089114/8315124299*c_1001_2^2 + 7510183719/8315124299*c_1001_2 - 7202620224/8315124299, c_0011_3 - 185109593/8315124299*c_1001_2^7 + 2958500596/8315124299*c_1001_2^6 - 6607213584/8315124299*c_1001_2^5 + 32414945728/8315124299*c_1001_2^4 - 521898833/437638121*c_1001_2^3 - 7519237034/8315124299*c_1001_2^2 - 6465758578/8315124299*c_1001_2 + 8495008873/8315124299, c_0011_6 + 36721485/8315124299*c_1001_2^7 - 586317286/8315124299*c_1001_2^6 + 1343241538/8315124299*c_1001_2^5 - 7022947005/8315124299*c_1001_2^4 + 125179062/437638121*c_1001_2^3 - 3256146976/8315124299*c_1001_2^2 - 3153169974/8315124299*c_1001_2 - 558230559/8315124299, c_0011_7 - 1, c_0101_0 - 1, c_0101_1 - 81461363/8315124299*c_1001_2^7 + 1320627864/8315124299*c_1001_2^6 - 3124696630/8315124299*c_1001_2^5 + 13587991477/8315124299*c_1001_2^4 - 222434153/437638121*c_1001_2^3 - 15201494912/8315124299*c_1001_2^2 + 83596009/8315124299*c_1001_2 + 8073082580/8315124299, c_0101_10 - 81461363/8315124299*c_1001_2^7 + 1320627864/8315124299*c_1001_2^6 - 3124696630/8315124299*c_1001_2^5 + 13587991477/8315124299*c_1001_2^4 - 222434153/437638121*c_1001_2^3 - 15201494912/8315124299*c_1001_2^2 + 83596009/8315124299*c_1001_2 + 16388206879/8315124299, c_0101_8 - 96618196/8315124299*c_1001_2^7 + 1473323528/8315124299*c_1001_2^6 - 2320529283/8315124299*c_1001_2^5 + 14454987793/8315124299*c_1001_2^4 + 371597405/437638121*c_1001_2^3 - 5495236090/8315124299*c_1001_2^2 - 2348229394/8315124299*c_1001_2 + 6644389665/8315124299, c_1001_0 + 48805327/8315124299*c_1001_2^7 - 844559085/8315124299*c_1001_2^6 + 2751815454/8315124299*c_1001_2^5 - 10564670328/8315124299*c_1001_2^4 + 741423483/437638121*c_1001_2^3 + 254986578/8315124299*c_1001_2^2 + 7756871362/8315124299*c_1001_2 - 6884279356/8315124299, c_1001_2^8 - 16*c_1001_2^7 + 36*c_1001_2^6 - 176*c_1001_2^5 + 56*c_1001_2^4 + 29*c_1001_2^3 + 23*c_1001_2^2 - 83*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB