Magma V2.19-8 Wed Aug 21 2013 01:03:31 on localhost [Seed = 1864988507] Type ? for help. Type -D to quit. Loading file "L14n20363__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20363 geometric_solution 11.18847780 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 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 1.065373445075 0.758211568262 0 2 6 5 0132 0321 0132 0132 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 0 0 0 -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 0.693945802004 0.849719955738 7 0 8 1 0132 0132 0132 0321 0 0 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 -2 0 2 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 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953817693084 0.695537238881 9 8 6 0 0132 2031 2310 0132 0 1 1 0 0 -2 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 1 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.215916419194 1.074668086169 5 8 0 10 1230 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.376940110153 0.443423119270 11 4 1 12 0132 3012 0132 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 -0.534588849032 0.801731489234 10 3 12 1 3201 3201 0132 0132 0 1 0 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 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.668794356110 0.670088469560 2 9 9 8 0132 3120 1230 3012 1 0 0 1 0 0 0 0 -1 0 2 -1 2 -2 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 -1 -1 0 1 0 1 -1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698528941616 0.992076518130 3 4 7 2 1302 0132 1230 0132 0 0 0 1 0 -1 1 0 0 0 0 0 2 0 0 -2 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389278079514 0.942333420263 3 7 11 7 0132 3120 0132 3012 1 1 0 1 0 1 0 -1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280411948104 0.922775508231 11 12 4 6 1302 0132 0132 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.989252864497 0.790359501118 5 10 12 9 0132 2031 3201 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 0.382985453258 0.492961230488 11 10 5 6 2310 0132 0132 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 0.634215918196 0.772051884577 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_12' : negation(d['c_0101_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_2'], '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'], 'c_1100_12' : d['c_1100_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_4']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], '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' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), '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_2'], '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_0011_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 92674272679/3540001239*c_1100_1^9 - 32746294450/3540001239*c_1100_1^8 - 519911787344/3540001239*c_1100_1^7 - 11143768228/69411789*c_1100_1^6 - 106886604395/3540001239*c_1100_1^5 + 3502063661762/3540001239*c_1100_1^4 + 163548601633/131111157*c_1100_1^3 - 2548603805285/3540001239*c_1100_1^2 - 1626721977073/3540001239*c_1100_1 + 631429057807/3540001239, c_0011_0 - 1, c_0011_10 - 2747758/2570807*c_1100_1^9 + 1387650/2570807*c_1100_1^8 + 14359055/2570807*c_1100_1^7 + 15365946/2570807*c_1100_1^6 + 5180606/2570807*c_1100_1^5 - 101161454/2570807*c_1100_1^4 - 115759518/2570807*c_1100_1^3 + 61182029/2570807*c_1100_1^2 + 11644023/2570807*c_1100_1 + 10962355/2570807, c_0011_11 + 945694/2570807*c_1100_1^9 - 219295/2570807*c_1100_1^8 - 5129815/2570807*c_1100_1^7 - 6545236/2570807*c_1100_1^6 - 3124941/2570807*c_1100_1^5 + 34556869/2570807*c_1100_1^4 + 49545053/2570807*c_1100_1^3 - 12172979/2570807*c_1100_1^2 - 10970469/2570807*c_1100_1 - 4968274/2570807, c_0011_3 - 842777/2570807*c_1100_1^9 + 376888/2570807*c_1100_1^8 + 4590938/2570807*c_1100_1^7 + 4686199/2570807*c_1100_1^6 + 1323963/2570807*c_1100_1^5 - 31385069/2570807*c_1100_1^4 - 36659876/2570807*c_1100_1^3 + 22898982/2570807*c_1100_1^2 + 5383784/2570807*c_1100_1 + 1281363/2570807, c_0011_4 + 140573/2570807*c_1100_1^9 - 52700/2570807*c_1100_1^8 - 600257/2570807*c_1100_1^7 - 975398/2570807*c_1100_1^6 - 834147/2570807*c_1100_1^5 + 4303944/2570807*c_1100_1^4 + 6415486/2570807*c_1100_1^3 + 684465/2570807*c_1100_1^2 + 1402452/2570807*c_1100_1 - 500066/2570807, c_0011_6 + 505617/2570807*c_1100_1^9 - 155976/2570807*c_1100_1^8 - 2738753/2570807*c_1100_1^7 - 3293528/2570807*c_1100_1^6 - 1298251/2570807*c_1100_1^5 + 18929183/2570807*c_1100_1^4 + 24858892/2570807*c_1100_1^3 - 9453552/2570807*c_1100_1^2 - 4860944/2570807*c_1100_1 - 2602613/2570807, c_0101_0 - 1, c_0101_1 + 426633/2570807*c_1100_1^9 - 142532/2570807*c_1100_1^8 - 2251176/2570807*c_1100_1^7 - 2708885/2570807*c_1100_1^6 - 1335415/2570807*c_1100_1^5 + 15399352/2570807*c_1100_1^4 + 19661779/2570807*c_1100_1^3 - 6150987/2570807*c_1100_1^2 - 1092546/2570807*c_1100_1 - 1122419/2570807, c_0101_11 + 505617/2570807*c_1100_1^9 - 155976/2570807*c_1100_1^8 - 2738753/2570807*c_1100_1^7 - 3293528/2570807*c_1100_1^6 - 1298251/2570807*c_1100_1^5 + 18929183/2570807*c_1100_1^4 + 24858892/2570807*c_1100_1^3 - 9453552/2570807*c_1100_1^2 - 7431751/2570807*c_1100_1 - 2602613/2570807, c_0101_2 + 532767/2570807*c_1100_1^9 - 245744/2570807*c_1100_1^8 - 2684698/2570807*c_1100_1^7 - 3464614/2570807*c_1100_1^6 - 1332346/2570807*c_1100_1^5 + 19511154/2570807*c_1100_1^4 + 23841952/2570807*c_1100_1^3 - 6163685/2570807*c_1100_1^2 - 4225651/2570807*c_1100_1 - 2367358/2570807, c_0101_3 - 1464642/2570807*c_1100_1^9 + 699249/2570807*c_1100_1^8 + 7710882/2570807*c_1100_1^7 + 8342599/2570807*c_1100_1^6 + 2978408/2570807*c_1100_1^5 - 54023396/2570807*c_1100_1^4 - 62908378/2570807*c_1100_1^3 + 31990367/2570807*c_1100_1^2 + 5678351/2570807*c_1100_1 + 4895456/2570807, c_1001_2 + 1038384/2570807*c_1100_1^9 - 401720/2570807*c_1100_1^8 - 5423451/2570807*c_1100_1^7 - 6758142/2570807*c_1100_1^6 - 2630597/2570807*c_1100_1^5 + 38440337/2570807*c_1100_1^4 + 48700844/2570807*c_1100_1^3 - 15617237/2570807*c_1100_1^2 - 6515788/2570807*c_1100_1 - 4969971/2570807, c_1100_1^10 - c_1100_1^9 - 5*c_1100_1^8 - 3*c_1100_1^7 + c_1100_1^6 + 38*c_1100_1^5 + 24*c_1100_1^4 - 44*c_1100_1^3 + 5*c_1100_1^2 - 2*c_1100_1 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB