Magma V2.19-8 Wed Aug 21 2013 01:06:27 on localhost [Seed = 4155633464] Type ? for help. Type -D to quit. Loading file "L14n31966__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31966 geometric_solution 12.05948801 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 -1 0 1 -1 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624960361292 0.999199827206 0 5 7 6 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 2 0 -2 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329255067034 0.877218224774 8 0 10 9 0132 0132 0132 0132 0 1 0 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 1 -2 1 0 0 1 -1 0 0 0 0 8 -9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170227499333 0.665197840189 11 10 7 0 0132 0132 0213 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 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 0.294980627030 0.750500080646 8 7 0 5 3012 0213 0132 0213 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 -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 0.626160122897 0.845634055748 12 1 10 4 0132 0132 3120 0213 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546367854249 1.154146851603 9 11 1 10 0213 3120 0132 3120 0 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 1 -1 0 0 0 1 -1 1 0 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638939700282 1.410914996061 12 3 4 1 2031 0213 0213 0132 0 1 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 0 0 0 0 0 0 -8 -1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434451648343 0.763777393107 2 12 11 4 0132 0132 1230 1230 1 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 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 0.661917874424 0.657933776400 6 11 2 12 0213 0213 0132 2103 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 0 0 0 0 0 1 -1 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 1.638939700282 1.410914996061 6 3 5 2 3120 0132 3120 0132 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 0 0 0 0 0 -2 2 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.464334519429 0.978468670680 3 6 9 8 0132 3120 0213 3012 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 0 0 0 0 0 1 -1 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 -0.301727502320 1.640029042269 5 8 7 9 0132 0132 1302 2103 1 1 0 1 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748262293762 0.815365146424 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_1001_1'], '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' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_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' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_7'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_5']), 'c_1100_11' : negation(d['c_1001_8']), 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_10']), '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' : negation(d['c_1001_8']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_4'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], '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' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_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_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2320531/32032*c_1001_8^10 - 367865/1001*c_1001_8^9 + 3193549/8008*c_1001_8^8 + 206775/224*c_1001_8^7 - 31491851/16016*c_1001_8^6 + 1274375/2288*c_1001_8^5 + 1500515/616*c_1001_8^4 - 4531571/2912*c_1001_8^3 - 23993989/32032*c_1001_8^2 + 2586895/8008*c_1001_8 + 2279275/4004, c_0011_0 - 1, c_0011_10 - 135/572*c_1001_8^10 + 172/143*c_1001_8^9 - 217/143*c_1001_8^8 - 103/52*c_1001_8^7 + 1451/286*c_1001_8^6 - 849/286*c_1001_8^5 - 695/143*c_1001_8^4 + 155/52*c_1001_8^3 + 457/572*c_1001_8^2 - 82/143*c_1001_8 - 151/143, c_0011_4 - 1697/5148*c_1001_8^10 + 710/429*c_1001_8^9 - 769/429*c_1001_8^8 - 145/36*c_1001_8^7 + 22351/2574*c_1001_8^6 - 8329/2574*c_1001_8^5 - 334/33*c_1001_8^4 + 3413/468*c_1001_8^3 + 7343/5148*c_1001_8^2 - 2414/1287*c_1001_8 - 2285/1287, c_0011_6 - 5/286*c_1001_8^10 + 27/143*c_1001_8^9 - 89/143*c_1001_8^8 + 17/26*c_1001_8^7 + 68/143*c_1001_8^6 - 227/143*c_1001_8^5 + 316/143*c_1001_8^4 + 7/26*c_1001_8^3 - 309/286*c_1001_8^2 + 196/143*c_1001_8 + 120/143, c_0011_7 - 911/2574*c_1001_8^10 + 850/429*c_1001_8^9 - 1226/429*c_1001_8^8 - 799/234*c_1001_8^7 + 14110/1287*c_1001_8^6 - 7684/1287*c_1001_8^5 - 4019/429*c_1001_8^4 + 2429/234*c_1001_8^3 + 5441/2574*c_1001_8^2 - 1042/1287*c_1001_8 - 178/99, c_0011_9 - 1, c_0101_1 - 1, c_0101_10 - 141/572*c_1001_8^10 + 383/286*c_1001_8^9 - 255/143*c_1001_8^8 - 137/52*c_1001_8^7 + 79/11*c_1001_8^6 - 787/286*c_1001_8^5 - 1128/143*c_1001_8^4 + 313/52*c_1001_8^3 + 1921/572*c_1001_8^2 - 547/286*c_1001_8 - 266/143, c_0101_5 + 135/572*c_1001_8^10 - 172/143*c_1001_8^9 + 217/143*c_1001_8^8 + 103/52*c_1001_8^7 - 1451/286*c_1001_8^6 + 849/286*c_1001_8^5 + 695/143*c_1001_8^4 - 155/52*c_1001_8^3 - 457/572*c_1001_8^2 + 82/143*c_1001_8 + 151/143, c_1001_0 + c_1001_8^2 - 1, c_1001_1 - 141/572*c_1001_8^10 + 383/286*c_1001_8^9 - 255/143*c_1001_8^8 - 137/52*c_1001_8^7 + 79/11*c_1001_8^6 - 787/286*c_1001_8^5 - 1128/143*c_1001_8^4 + 313/52*c_1001_8^3 + 2493/572*c_1001_8^2 - 547/286*c_1001_8 - 409/143, c_1001_2 - 141/572*c_1001_8^10 + 383/286*c_1001_8^9 - 255/143*c_1001_8^8 - 137/52*c_1001_8^7 + 79/11*c_1001_8^6 - 787/286*c_1001_8^5 - 1128/143*c_1001_8^4 + 313/52*c_1001_8^3 + 1921/572*c_1001_8^2 - 547/286*c_1001_8 - 266/143, c_1001_8^11 - 4*c_1001_8^10 + 19*c_1001_8^8 - 14*c_1001_8^7 - 22*c_1001_8^6 + 44*c_1001_8^5 + 13*c_1001_8^4 - 35*c_1001_8^3 - 4*c_1001_8^2 + 12*c_1001_8 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.560 seconds, Total memory usage: 32.09MB