Magma V2.19-8 Wed Aug 21 2013 01:02:59 on localhost [Seed = 1064904493] Type ? for help. Type -D to quit. Loading file "L14n16628__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n16628 geometric_solution 11.37352243 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1023 1 1 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 -3 0 2 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 0.872651910464 0.920974227736 0 2 5 4 0132 0213 0132 0132 1 1 1 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 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.159360702383 0.482393747254 5 0 1 0 1023 0132 0213 1023 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 1 -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 0.179980314477 0.619430956084 6 7 8 0 0132 0132 0132 0132 1 1 1 1 0 0 0 0 1 0 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 2 0 0 -2 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176983345539 0.345390951099 6 8 1 9 2103 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 -2 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 3 -3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750073826323 1.225992959266 7 2 10 1 2031 1023 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 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 1.009173366236 1.104482014748 3 9 4 11 0132 3012 2103 0132 0 1 1 1 0 -1 2 -1 -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 1 -1 0 -2 0 0 2 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551600648276 0.662342513969 10 3 5 11 1230 0132 1302 2310 1 1 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 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257497838415 1.097478783576 12 11 4 3 0132 2310 3012 0132 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 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 1.657973835381 0.791792342518 6 12 4 10 1230 1302 0132 1302 1 1 1 0 0 0 0 0 -1 0 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 -3 0 3 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 0.195040247909 0.481841308580 12 7 9 5 2031 3012 2031 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 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 0.313500672690 0.472811509850 7 12 6 8 3201 2103 0132 3201 0 1 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 0 0 3 0 -2 -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 0.782897697965 0.509878660340 8 11 10 9 0132 2103 1302 2031 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 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 0.736601832897 0.649596393441 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_11']), 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : negation(d['c_0011_4']), 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_11' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_12' : 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' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_1001_4'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0110_11']), 'c_1100_8' : negation(d['c_1001_4']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0101_10'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_8'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0011_10']), '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_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_10']), 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_0110_11, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 232506161277332587907/85711257828597010176*c_1001_4^13 - 1929559642416953019/170062019501184544*c_1001_4^12 - 407993877118312962529/7142604819049750848*c_1001_4^11 - 307163365599559521677/1440525341657092608*c_1001_4^10 - 110531878535219260914223/171422515657194020352*c_1001_4^9 - 24694314753092220367811/14285209638099501696*c_1001_4^8 - 86562313485015711727183/21427814457149252544*c_1001_4^7 - 6275472408505077454787/758506706447761152*c_1001_4^6 - 615000553860722076595181/42855628914298505088*c_1001_4^5 - 68063743818392213584537/3061116351021321792*c_1001_4^4 - 29381748041560319815735/1020372117007107264*c_1001_4^3 - 5112473156780802605273143/171422515657194020352*c_1001_4^2 - 3510549935391313620880495/171422515657194020352*c_1001_4 - 347773664565478411749835/42855628914298505088, c_0011_0 - 1, c_0011_10 + 7/256*c_1001_4^13 + 13/128*c_1001_4^12 + 73/128*c_1001_4^11 + 1011/512*c_1001_4^10 + 3201/512*c_1001_4^9 + 1049/64*c_1001_4^8 + 4977/128*c_1001_4^7 + 20241/256*c_1001_4^6 + 17813/128*c_1001_4^5 + 1721/8*c_1001_4^4 + 281*c_1001_4^3 + 151043/512*c_1001_4^2 + 107317/512*c_1001_4 + 11115/128, c_0011_11 + 5/256*c_1001_4^13 + 23/256*c_1001_4^12 + 29/64*c_1001_4^11 + 877/512*c_1001_4^10 + 343/64*c_1001_4^9 + 7447/512*c_1001_4^8 + 2207/64*c_1001_4^7 + 18521/256*c_1001_4^6 + 32793/256*c_1001_4^5 + 25903/128*c_1001_4^4 + 8581/32*c_1001_4^3 + 150177/512*c_1001_4^2 + 27511/128*c_1001_4 + 48703/512, c_0011_12 + 63/10880*c_1001_4^13 + 23/1088*c_1001_4^12 + 1339/10880*c_1001_4^11 + 9081/21760*c_1001_4^10 + 29567/21760*c_1001_4^9 + 76883/21760*c_1001_4^8 + 18577/2176*c_1001_4^7 + 555/32*c_1001_4^6 + 338697/10880*c_1001_4^5 + 13155/272*c_1001_4^4 + 43671/680*c_1001_4^3 + 1503239/21760*c_1001_4^2 + 1122929/21760*c_1001_4 + 506041/21760, c_0011_3 - 3/128*c_1001_4^13 - 1/32*c_1001_4^12 - 3/8*c_1001_4^11 - 191/256*c_1001_4^10 - 755/256*c_1001_4^9 - 183/32*c_1001_4^8 - 1879/128*c_1001_4^7 - 359/16*c_1001_4^6 - 5133/128*c_1001_4^5 - 5945/128*c_1001_4^4 - 7081/128*c_1001_4^3 - 6433/256*c_1001_4^2 - 1165/256*c_1001_4 + 2497/128, c_0011_4 - 1, c_0101_0 - 9/256*c_1001_4^13 - 37/256*c_1001_4^12 - 23/32*c_1001_4^11 - 1385/512*c_1001_4^10 - 2049/256*c_1001_4^9 - 11065/512*c_1001_4^8 - 399/8*c_1001_4^7 - 26137/256*c_1001_4^6 - 44859/256*c_1001_4^5 - 34757/128*c_1001_4^4 - 11127/32*c_1001_4^3 - 182869/512*c_1001_4^2 - 61419/256*c_1001_4 - 48249/512, c_0101_1 + 1/512*c_1001_4^13 + 3/512*c_1001_4^12 + 5/128*c_1001_4^11 + 121/1024*c_1001_4^10 + 13/32*c_1001_4^9 + 1011/1024*c_1001_4^8 + 79/32*c_1001_4^7 + 2421/512*c_1001_4^6 + 4473/512*c_1001_4^5 + 3279/256*c_1001_4^4 + 2261/128*c_1001_4^3 + 17661/1024*c_1001_4^2 + 3375/256*c_1001_4 + 4715/1024, c_0101_10 - 1/256*c_1001_4^13 - 1/64*c_1001_4^12 - 11/128*c_1001_4^11 - 157/512*c_1001_4^10 - 501/512*c_1001_4^9 - 671/256*c_1001_4^8 - 401/64*c_1001_4^7 - 3345/256*c_1001_4^6 - 2985/128*c_1001_4^5 - 4767/128*c_1001_4^4 - 6313/128*c_1001_4^3 - 28585/512*c_1001_4^2 - 21773/512*c_1001_4 - 5739/256, c_0101_8 - 387/43520*c_1001_4^13 - 47/8704*c_1001_4^12 - 1179/10880*c_1001_4^11 - 13259/87040*c_1001_4^10 - 23329/43520*c_1001_4^9 - 54227/87040*c_1001_4^8 - 1431/1088*c_1001_4^7 + 533/512*c_1001_4^6 + 165667/43520*c_1001_4^5 + 58153/4352*c_1001_4^4 + 271629/10880*c_1001_4^3 + 4044809/87040*c_1001_4^2 + 1998417/43520*c_1001_4 + 2540101/87040, c_0110_11 - 5/64*c_1001_4^13 - 17/64*c_1001_4^12 - 99/64*c_1001_4^11 - 661/128*c_1001_4^10 - 261/16*c_1001_4^9 - 335/8*c_1001_4^8 - 12677/128*c_1001_4^7 - 25201/128*c_1001_4^6 - 43959/128*c_1001_4^5 - 66605/128*c_1001_4^4 - 85913/128*c_1001_4^3 - 43239/64*c_1001_4^2 - 58803/128*c_1001_4 - 21741/128, c_0110_2 - 3/128*c_1001_4^13 - 7/64*c_1001_4^12 - 17/32*c_1001_4^11 - 519/256*c_1001_4^10 - 1605/256*c_1001_4^9 - 2139/128*c_1001_4^8 - 5095/128*c_1001_4^7 - 1307/16*c_1001_4^6 - 18427/128*c_1001_4^5 - 28445/128*c_1001_4^4 - 37605/128*c_1001_4^3 - 78233/256*c_1001_4^2 - 54815/256*c_1001_4 - 5129/64, c_1001_4^14 + 4*c_1001_4^13 + 23*c_1001_4^12 + 161/2*c_1001_4^11 + 537/2*c_1001_4^10 + 1427/2*c_1001_4^9 + 3539/2*c_1001_4^8 + 3685*c_1001_4^7 + 6894*c_1001_4^6 + 11031*c_1001_4^5 + 15602*c_1001_4^4 + 35749/2*c_1001_4^3 + 32185/2*c_1001_4^2 + 19239/2*c_1001_4 + 6763/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB