Magma V2.19-8 Wed Aug 21 2013 01:05:11 on localhost [Seed = 357764491] Type ? for help. Type -D to quit. Loading file "L14n25245__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25245 geometric_solution 12.12623156 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 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 -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 0.125885541930 1.612399352638 0 5 6 4 0132 0132 0132 3120 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 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 0.734289355416 0.578664388759 3 0 8 7 1023 0132 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 1 0 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270081839812 1.244958679604 9 2 10 0 0132 1023 0132 0132 1 1 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 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368696467084 0.627626523023 1 11 0 12 3120 0132 0132 0132 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 -1 1 1 0 0 -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 -0.207849605605 1.146050767208 9 1 8 11 1023 0132 3120 1023 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 -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 0.902395212473 0.695217455283 10 8 10 1 0321 2031 2310 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 0.549792368716 0.672295579881 12 12 2 9 1302 3012 0132 3012 1 1 1 1 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 1 -1 0 0 0 0 -1 1 0 0 10 -11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308972148108 0.502721404121 6 11 5 2 1302 3012 3120 0132 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316494800133 0.576559593769 3 5 7 11 0132 1023 1230 3012 1 1 0 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 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300815499754 0.549106178124 6 6 12 3 0321 3201 0132 0132 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687688192892 1.026925578981 8 4 9 5 1230 0132 1230 1023 1 0 0 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 0 0 0 -1 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 0.370611448623 0.536995011249 7 7 4 10 1230 2031 0132 0132 1 1 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 -1 0 1 0 11 -10 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308972148108 0.502721404121 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_7']), 'c_1001_10' : d['c_0011_7'], 'c_1001_12' : negation(d['c_0110_7']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_2'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(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' : 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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : 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_0011_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_5']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0110_7']), 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0101_5']), '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_1100_0'], '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' : d['c_0011_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : d['c_0011_7'], 'c_0101_12' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(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_6']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(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_11, c_0011_12, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_5, c_0110_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 597264741065069/3172951406628*c_1100_0^8 + 9457586853984493/6345902813256*c_1100_0^7 - 8499602133909593/2115300937752*c_1100_0^6 + 4515071084573632/793237851657*c_1100_0^5 + 5747910310031728/793237851657*c_1100_0^4 + 3461226542613959/793237851657*c_1100_0^3 + 15322387892386525/528825234438*c_1100_0^2 - 11240135620694279/793237851657*c_1100_0 + 28938874291235876/793237851657, c_0011_0 - 1, c_0011_10 - 13441399/2429286176*c_1100_0^8 + 47968323/1214643088*c_1100_0^7 - 100913271/1214643088*c_1100_0^6 + 44714371/607321544*c_1100_0^5 + 187353477/607321544*c_1100_0^4 + 261408133/607321544*c_1100_0^3 + 60667073/75915193*c_1100_0^2 - 84011937/303660772*c_1100_0 + 214826349/303660772, c_0011_11 + 17599579/4858572352*c_1100_0^8 - 70043167/2429286176*c_1100_0^7 + 168164359/2429286176*c_1100_0^6 - 47178295/1214643088*c_1100_0^5 - 398459485/1214643088*c_1100_0^4 + 194414875/1214643088*c_1100_0^3 - 17450201/151830386*c_1100_0^2 + 107102185/607321544*c_1100_0 - 151377533/607321544, c_0011_12 + 297073/607321544*c_1100_0^8 - 234233/151830386*c_1100_0^7 - 496947/151830386*c_1100_0^6 - 236935/151830386*c_1100_0^5 - 678576/75915193*c_1100_0^4 - 14604213/151830386*c_1100_0^3 - 60791218/75915193*c_1100_0^2 - 7017757/75915193*c_1100_0 - 51959796/75915193, c_0011_6 - 8301087/2429286176*c_1100_0^8 + 33298975/1214643088*c_1100_0^7 - 91523003/1214643088*c_1100_0^6 + 72039383/607321544*c_1100_0^5 + 30088069/607321544*c_1100_0^4 + 149467281/607321544*c_1100_0^3 + 21436429/75915193*c_1100_0^2 - 272624045/303660772*c_1100_0 + 148595933/303660772, c_0011_7 + 642539/303660772*c_1100_0^8 - 3667337/303660772*c_1100_0^7 + 2347567/303660772*c_1100_0^6 + 6831253/151830386*c_1100_0^5 - 19658176/75915193*c_1100_0^4 - 27985213/151830386*c_1100_0^3 - 39230644/75915193*c_1100_0^2 - 47153027/75915193*c_1100_0 - 16557604/75915193, c_0011_8 - 79572759/19434289408*c_1100_0^8 + 305412147/9717144704*c_1100_0^7 - 779450179/9717144704*c_1100_0^6 + 572269211/4858572352*c_1100_0^5 + 489351257/4858572352*c_1100_0^4 + 1366541601/4858572352*c_1100_0^3 + 444813669/607321544*c_1100_0^2 - 1967046629/2429286176*c_1100_0 + 1432097865/2429286176, c_0101_0 - 1, c_0101_11 - 3821263/1214643088*c_1100_0^8 + 17073317/607321544*c_1100_0^7 - 56133899/607321544*c_1100_0^6 + 47326819/303660772*c_1100_0^5 + 21182169/303660772*c_1100_0^4 - 39480289/303660772*c_1100_0^3 + 37521437/75915193*c_1100_0^2 + 10955533/151830386*c_1100_0 + 84245783/151830386, c_0101_2 + 1251107/1214643088*c_1100_0^8 - 9738643/607321544*c_1100_0^7 + 51438765/607321544*c_1100_0^6 - 60989325/303660772*c_1100_0^5 + 57450535/303660772*c_1100_0^4 + 95450715/303660772*c_1100_0^3 + 1709207/75915193*c_1100_0^2 + 235180907/151830386*c_1100_0 - 51130575/151830386, c_0101_5 + 449413/303660772*c_1100_0^8 - 1099770/75915193*c_1100_0^7 + 16933725/303660772*c_1100_0^6 - 8897691/75915193*c_1100_0^5 + 3453356/75915193*c_1100_0^4 - 4939403/151830386*c_1100_0^3 + 21816778/75915193*c_1100_0^2 - 57534771/75915193*c_1100_0 - 36315144/75915193, c_0110_7 - 787099/151830386*c_1100_0^8 + 6075617/151830386*c_1100_0^7 - 27599173/303660772*c_1100_0^6 + 2838364/75915193*c_1100_0^5 + 38448949/75915193*c_1100_0^4 - 13871200/75915193*c_1100_0^3 + 31424059/75915193*c_1100_0^2 - 38017210/75915193*c_1100_0 + 62831039/75915193, c_1100_0^9 - 8*c_1100_0^8 + 22*c_1100_0^7 - 32*c_1100_0^6 - 36*c_1100_0^5 - 20*c_1100_0^4 - 152*c_1100_0^3 + 88*c_1100_0^2 - 200*c_1100_0 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.560 seconds, Total memory usage: 32.09MB