Magma V2.19-8 Tue Aug 20 2013 23:44:18 on localhost [Seed = 2513694827] Type ? for help. Type -D to quit. Loading file "L14n255__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n255 geometric_solution 10.66436111 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 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 0 0 0 0 0 0 0 0 1 0 -1 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757333433883 0.924110853464 0 5 6 2 0132 0132 0132 2103 1 0 1 1 0 0 -1 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 0 0 0 0 0 0 14 -14 1 0 -1 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 0.757333433883 0.924110853464 4 0 7 1 3120 0132 0132 2103 1 0 1 1 0 0 0 0 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 -1 0 1 0 0 0 0 -13 -1 0 14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757333433883 0.924110853464 8 5 6 0 0132 3201 3120 0132 1 0 1 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 -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 0.484832245201 1.076046422512 8 9 0 2 3120 0132 0132 3120 1 0 1 1 0 0 0 0 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 1 -1 1 0 -1 0 -13 0 0 13 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469481630772 0.647347338744 10 1 3 9 0132 0132 2310 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352652661256 0.469481630772 7 10 3 1 0132 0213 3120 0132 1 0 1 1 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 14 0 -14 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 0.484832245201 1.076046422512 6 9 8 2 0132 0321 3120 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 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 0.484832245201 1.076046422512 3 10 7 4 0132 1302 3120 3120 1 0 1 1 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 -1 1 1 0 0 -1 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484832245201 1.076046422512 5 4 10 7 3120 0132 3012 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 1.012316044054 0.734171222733 5 9 6 8 0132 1230 0213 2031 1 1 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 0 0 0 0 1 -14 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892478087817 1.108688839089 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_3']), '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_0011_6'], 's_2_0' : d['1'], 's_2_1' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_5']), 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_0']), 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_4']), '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' : negation(d['1']), 's_3_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), '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_0101_5'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_2'], '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_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_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' : d['c_0101_3'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 26559/704*c_1001_2^7 + 138353/1408*c_1001_2^6 - 386445/5632*c_1001_2^5 - 744259/5632*c_1001_2^4 + 366709/1408*c_1001_2^3 + 612/11*c_1001_2^2 + 111489/5632*c_1001_2 - 3665/5632, c_0011_0 - 1, c_0011_3 + 139/88*c_1001_2^7 + 521/176*c_1001_2^6 - 3673/704*c_1001_2^5 - 1301/704*c_1001_2^4 + 4707/352*c_1001_2^3 - 2747/352*c_1001_2^2 + 2507/704*c_1001_2 - 489/704, c_0011_4 - 109/22*c_1001_2^7 - 551/44*c_1001_2^6 + 1647/176*c_1001_2^5 + 2583/176*c_1001_2^4 - 1511/44*c_1001_2^3 - 43/44*c_1001_2^2 - 1339/176*c_1001_2 - 271/176, c_0011_6 - 139/88*c_1001_2^7 - 521/176*c_1001_2^6 + 3673/704*c_1001_2^5 + 1301/704*c_1001_2^4 - 4707/352*c_1001_2^3 + 2747/352*c_1001_2^2 - 2507/704*c_1001_2 + 489/704, c_0101_0 - 1, c_0101_1 + 81/44*c_1001_2^7 + 271/88*c_1001_2^6 - 2531/352*c_1001_2^5 - 789/352*c_1001_2^4 + 359/22*c_1001_2^3 - 909/88*c_1001_2^2 + 1387/352*c_1001_2 - 963/352, c_0101_2 - 67/44*c_1001_2^7 - 329/88*c_1001_2^6 + 993/352*c_1001_2^5 + 1289/352*c_1001_2^4 - 909/88*c_1001_2^3 + 43/88*c_1001_2^2 - 1477/352*c_1001_2 - 81/352, c_0101_3 + 285/44*c_1001_2^7 + 1431/88*c_1001_2^6 - 4287/352*c_1001_2^5 - 6455/352*c_1001_2^4 + 3931/88*c_1001_2^3 + 43/88*c_1001_2^2 + 3803/352*c_1001_2 + 623/352, c_0101_5 + 247/88*c_1001_2^7 + 1205/176*c_1001_2^6 - 4173/704*c_1001_2^5 - 5653/704*c_1001_2^4 + 7209/352*c_1001_2^3 - 133/352*c_1001_2^2 + 1907/704*c_1001_2 + 251/704, c_1001_0 + c_1001_2, c_1001_2^8 + 5/2*c_1001_2^7 - 15/8*c_1001_2^6 - 11/4*c_1001_2^5 + 55/8*c_1001_2^4 + 15/8*c_1001_2^2 + 1/4*c_1001_2 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB