Magma V2.19-8 Tue Aug 20 2013 23:39:15 on localhost [Seed = 2615017422] Type ? for help. Type -D to quit. Loading file "K13n1496__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1496 geometric_solution 9.52266719 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 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 0.803720905706 0.339040742722 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 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 0 -1 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 0.477558265208 0.330537434879 5 0 9 8 0321 0132 0132 0132 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 -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 -0.107754365344 1.021148689897 6 4 4 0 0132 2031 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614483529635 0.500949655436 3 3 0 9 1302 0213 0132 3201 0 0 0 0 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 1 -1 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 0.814219784249 0.735913287161 2 1 7 8 0321 0132 3120 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134787867294 1.466233422406 3 7 1 8 0132 3012 0132 2031 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 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 1.327105214985 2.141572780549 6 10 5 1 1230 0132 3120 0132 0 0 0 0 0 0 1 -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 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 1.013229985879 0.621667640428 5 6 2 10 3201 1302 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074186224344 0.911872749895 10 4 10 2 3012 2310 1302 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 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 0.012358139858 1.031664970740 9 7 8 9 2031 0132 2031 1230 0 0 0 0 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 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 0.988390502484 0.969167856391 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0011_10']), '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_0101_10'], '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_10' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0110_8']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : d['c_0101_10'], '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'], '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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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_10' : d['c_0011_9'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_4']})} 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_10, c_0011_3, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0110_4, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 187435686102/23592542591*c_0110_8^11 - 591213862873/23592542591*c_0110_8^10 + 7688822127993/23592542591*c_0110_8^9 - 63128408265943/47185085182*c_0110_8^8 + 291494100472775/94370170364*c_0110_8^7 - 1759951397604603/377480681456*c_0110_8^6 + 931846258629927/188740340728*c_0110_8^5 - 90127836848728/23592542591*c_0110_8^4 + 809609889405575/377480681456*c_0110_8^3 - 20674199096961/23592542591*c_0110_8^2 + 79900863679487/377480681456*c_0110_8 - 7895225812285/377480681456, c_0011_0 - 1, c_0011_10 - 9990638/940729*c_0110_8^11 + 56946942/940729*c_0110_8^10 - 349808879/1881458*c_0110_8^9 + 1318910015/3762916*c_0110_8^8 - 429973737/940729*c_0110_8^7 + 426283490/940729*c_0110_8^6 - 696644107/1881458*c_0110_8^5 + 946352909/3762916*c_0110_8^4 - 141199000/940729*c_0110_8^3 + 246163491/3762916*c_0110_8^2 - 25872925/940729*c_0110_8 + 20361405/3762916, c_0011_3 - 13911988/940729*c_0110_8^11 + 78344528/940729*c_0110_8^10 - 239776333/940729*c_0110_8^9 + 899943763/1881458*c_0110_8^8 - 1170744209/1881458*c_0110_8^7 + 1150154253/1881458*c_0110_8^6 - 918144817/1881458*c_0110_8^5 + 302398654/940729*c_0110_8^4 - 178280809/940729*c_0110_8^3 + 148731359/1881458*c_0110_8^2 - 61963715/1881458*c_0110_8 + 3665157/940729, c_0011_4 - 8949358/940729*c_0110_8^11 + 52132026/940729*c_0110_8^10 - 325264455/1881458*c_0110_8^9 + 1248342859/3762916*c_0110_8^8 - 824749457/1881458*c_0110_8^7 + 409604565/940729*c_0110_8^6 - 331318744/940729*c_0110_8^5 + 891616895/3762916*c_0110_8^4 - 265255163/1881458*c_0110_8^3 + 239055331/3762916*c_0110_8^2 - 23441988/940729*c_0110_8 + 21393133/3762916, c_0011_8 - 7349358/940729*c_0110_8^11 + 42349078/940729*c_0110_8^10 - 261998471/1881458*c_0110_8^9 + 993254871/3762916*c_0110_8^8 - 323601537/940729*c_0110_8^7 + 634337127/1881458*c_0110_8^6 - 255469202/940729*c_0110_8^5 + 691506031/3762916*c_0110_8^4 - 102626502/940729*c_0110_8^3 + 176990327/3762916*c_0110_8^2 - 35197719/1881458*c_0110_8 + 15875865/3762916, c_0011_9 - 7424702/940729*c_0110_8^11 + 41354374/940729*c_0110_8^10 - 252484183/1881458*c_0110_8^9 + 947839711/3762916*c_0110_8^8 - 311658510/940729*c_0110_8^7 + 312594501/940729*c_0110_8^6 - 510714463/1881458*c_0110_8^5 + 679870619/3762916*c_0110_8^4 - 100310490/940729*c_0110_8^3 + 169757949/3762916*c_0110_8^2 - 37990751/1881458*c_0110_8 + 9292547/3762916, c_0101_0 - 79116276/940729*c_0110_8^11 + 451347588/940729*c_0110_8^10 - 1389782401/940729*c_0110_8^9 + 5250928253/1881458*c_0110_8^8 - 3424717775/940729*c_0110_8^7 + 6737423473/1881458*c_0110_8^6 - 5403186383/1881458*c_0110_8^5 + 1796454928/940729*c_0110_8^4 - 1060263336/940729*c_0110_8^3 + 908200727/1881458*c_0110_8^2 - 369572631/1881458*c_0110_8 + 61694689/1881458, c_0101_10 + 23363826/940729*c_0110_8^11 - 132647106/940729*c_0110_8^10 + 813068929/1881458*c_0110_8^9 - 3053471345/3762916*c_0110_8^8 + 988799171/940729*c_0110_8^7 - 966249864/940729*c_0110_8^6 + 1539389235/1881458*c_0110_8^5 - 2026272643/3762916*c_0110_8^4 + 296069981/940729*c_0110_8^3 - 497131405/3762916*c_0110_8^2 + 50071870/940729*c_0110_8 - 28113319/3762916, c_0101_2 - 8971080/940729*c_0110_8^11 + 51185200/940729*c_0110_8^10 - 158095426/940729*c_0110_8^9 + 300359991/940729*c_0110_8^8 - 395174839/940729*c_0110_8^7 + 391522740/940729*c_0110_8^6 - 625051667/1881458*c_0110_8^5 + 408628347/1881458*c_0110_8^4 - 238148071/1881458*c_0110_8^3 + 50016917/940729*c_0110_8^2 - 19712414/940729*c_0110_8 + 3636799/1881458, c_0110_4 - 25269796/940729*c_0110_8^11 + 145666304/940729*c_0110_8^10 - 451726889/940729*c_0110_8^9 + 1721518847/1881458*c_0110_8^8 - 2262302209/1881458*c_0110_8^7 + 2236591737/1881458*c_0110_8^6 - 1798627559/1881458*c_0110_8^5 + 600094905/940729*c_0110_8^4 - 354328119/940729*c_0110_8^3 + 308056663/1881458*c_0110_8^2 - 121506523/1881458*c_0110_8 + 11135649/940729, c_0110_8^12 - 6*c_0110_8^11 + 77/4*c_0110_8^10 - 307/8*c_0110_8^9 + 425/8*c_0110_8^8 - 111/2*c_0110_8^7 + 47*c_0110_8^6 - 265/8*c_0110_8^5 + 163/8*c_0110_8^4 - 79/8*c_0110_8^3 + 33/8*c_0110_8^2 - 9/8*c_0110_8 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.480 Total time: 0.690 seconds, Total memory usage: 32.09MB