Magma V2.19-8 Tue Aug 20 2013 23:43:57 on localhost [Seed = 2732902325] Type ? for help. Type -D to quit. Loading file "L14n14360__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14360 geometric_solution 10.39787685 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 -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 -1 0 1 0 0 7 -7 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661023431039 0.921016090170 0 5 2 4 0132 0132 0132 1230 1 1 1 1 0 0 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 -7 7 0 0 0 0 -7 -1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325195449010 0.499653628297 6 0 7 1 0132 0132 0132 0132 1 1 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 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085002487042 1.405867851545 8 5 6 0 0132 0321 0213 0132 1 1 1 1 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 0 0 0 7 0 0 -7 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423114445029 1.059595581143 1 8 0 9 3012 0213 0132 0132 1 1 1 1 0 0 0 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 0 0 -1 1 -7 0 7 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 0.022812237058 0.641312626380 8 1 6 3 3012 0132 1023 0321 1 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 -7 0 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670810110484 0.637581814298 2 3 5 9 0132 0213 1023 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998336916599 0.645990257831 10 10 10 2 0132 1302 3012 0132 1 1 1 0 0 1 0 -1 -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 -8 0 8 8 0 -8 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 0.211409580472 0.651517099182 3 9 4 5 0132 2103 0213 1230 1 1 1 1 0 0 0 0 1 0 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 0 0 0 -7 0 0 7 0 -1 0 1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594157654222 0.885209155921 10 8 4 6 2310 2103 0132 0213 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 1 -1 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 0.393595773508 0.671399471898 7 7 9 7 0132 1230 3201 2031 1 1 0 1 0 -1 1 0 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 8 -8 0 -8 0 0 8 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753658801139 0.622657318339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0011_9'], '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' : 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_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1010_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_10'], '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' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0011_3'])})} 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_9, c_0101_1, c_0101_10, c_0101_5, c_0101_9, c_1001_0, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 133572726573998238380326304803/247441852612955456341406352*c_1010_6\ ^8 - 13737052874011901731012438187/247441852612955456341406352*c_10\ 10_6^7 + 69729485878499999935369999/1671904409546996326631124*c_101\ 0_6^6 - 111055305595336943915646826699/247441852612955456341406352*\ c_1010_6^5 - 6487954715506430726833735651/6344662887511678367728368\ *c_1010_6^4 + 153168099701689198345625324689/2474418526129554563414\ 06352*c_1010_6^3 + 235476725472122987146113454705/12372092630647772\ 8170703176*c_1010_6^2 + 273233732152568260550342119061/247441852612\ 955456341406352*c_1010_6 + 50681417547718505918617882597/2474418526\ 12955456341406352, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 1817638748531290403/288869193785466479*c_1010_6^8 - 1022577581719011208/288869193785466479*c_1010_6^7 + 851117292236975496/288869193785466479*c_1010_6^6 + 660657482728046470/288869193785466479*c_1010_6^5 + 5015579284683576996/288869193785466479*c_1010_6^4 - 813950741776100117/288869193785466479*c_1010_6^3 - 8764224188950907654/288869193785466479*c_1010_6^2 - 6214183636330030959/288869193785466479*c_1010_6 - 1365415538181726149/288869193785466479, c_0011_4 + 7130009079990594994/288869193785466479*c_1010_6^8 + 5242932449155199433/288869193785466479*c_1010_6^7 - 3264115753682928943/288869193785466479*c_1010_6^6 - 3495945119620209607/288869193785466479*c_1010_6^5 - 19695814593875555753/288869193785466479*c_1010_6^4 + 145255049179968287/288869193785466479*c_1010_6^3 + 36238978144515760122/288869193785466479*c_1010_6^2 + 29790654376641133449/288869193785466479*c_1010_6 + 6782845336376213531/288869193785466479, c_0011_9 - 1358925625440656342/288869193785466479*c_1010_6^8 + 4819638020888369/288869193785466479*c_1010_6^7 + 797587086438471664/288869193785466479*c_1010_6^6 + 82941952522919664/288869193785466479*c_1010_6^5 + 3623529747366478029/288869193785466479*c_1010_6^4 - 2765874614737832747/288869193785466479*c_1010_6^3 - 5416371679675677275/288869193785466479*c_1010_6^2 - 1238320611777887816/288869193785466479*c_1010_6 + 427129542976092846/288869193785466479, c_0101_1 - 4663106867193890344/288869193785466479*c_1010_6^8 - 3282387077095849529/288869193785466479*c_1010_6^7 + 2182263348048687416/288869193785466479*c_1010_6^6 + 2210075118412300578/288869193785466479*c_1010_6^5 + 12870317804956975471/288869193785466479*c_1010_6^4 - 408206522866833857/288869193785466479*c_1010_6^3 - 23572901063654237303/288869193785466479*c_1010_6^2 - 18665271264313688542/288869193785466479*c_1010_6 - 4035701488545121486/288869193785466479, c_0101_10 + 2174760403135218979/288869193785466479*c_1010_6^8 + 3353027734333765562/288869193785466479*c_1010_6^7 - 450849730538776312/288869193785466479*c_1010_6^6 - 2172760410797803074/288869193785466479*c_1010_6^5 - 6469413509703227719/288869193785466479*c_1010_6^4 - 4677437616176150458/288869193785466479*c_1010_6^3 + 13173649444324453712/288869193785466479*c_1010_6^2 + 17309168458484540856/288869193785466479*c_1010_6 + 5659827775969880649/288869193785466479, c_0101_5 - 36455870502893501/288869193785466479*c_1010_6^8 + 205971010917884713/288869193785466479*c_1010_6^7 - 79696818048515850/288869193785466479*c_1010_6^6 - 73140598876221094/288869193785466479*c_1010_6^5 + 49483720083618538/288869193785466479*c_1010_6^4 - 604197254342573576/288869193785466479*c_1010_6^3 + 497788971609212148/288869193785466479*c_1010_6^2 + 477935180018101427/288869193785466479*c_1010_6 + 76768274746328881/288869193785466479, c_0101_9 - 3533686028575875321/288869193785466479*c_1010_6^8 - 3348208096312877193/288869193785466479*c_1010_6^7 + 1248436816977247976/288869193785466479*c_1010_6^6 + 2255702363320722738/288869193785466479*c_1010_6^5 + 10092943257069705748/288869193785466479*c_1010_6^4 + 1911563001438317711/288869193785466479*c_1010_6^3 - 18590021124000130987/288869193785466479*c_1010_6^2 - 18547489070262428672/288869193785466479*c_1010_6 - 5232698232993787803/288869193785466479, c_1001_0 + 1652090620876617001/288869193785466479*c_1010_6^8 + 1643603357558368949/288869193785466479*c_1010_6^7 - 692338130805107876/288869193785466479*c_1010_6^6 - 1063566582944690457/288869193785466479*c_1010_6^5 - 4623394028795248721/288869193785466479*c_1010_6^4 - 1178834045935499445/288869193785466479*c_1010_6^3 + 9078264691989280014/288869193785466479*c_1010_6^2 + 8713475326267900363/288869193785466479*c_1010_6 + 2520284709546073645/288869193785466479, c_1010_6^9 + 309/239*c_1010_6^8 - 175/239*c_1010_6^6 - 733/239*c_1010_6^5 - 367/239*c_1010_6^4 + 1190/239*c_1010_6^3 + 1689/239*c_1010_6^2 + 829/239*c_1010_6 + 148/239 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB