Magma V2.19-8 Wed Aug 21 2013 01:02:22 on localhost [Seed = 2631567184] Type ? for help. Type -D to quit. Loading file "L14n14769__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14769 geometric_solution 11.50855879 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.940004092876 0.629305496053 0 5 7 6 0132 0132 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 0 0 0 0 0 0 0 15 -15 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353254435960 0.597424227993 5 0 3 8 2103 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.652297544860 0.220760877196 4 6 2 0 1023 2103 1023 0132 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 14 1 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789441497963 0.521419026328 5 3 0 6 0132 1023 0132 1230 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 0 1 -1 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789441497963 0.521419026328 4 1 2 9 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 -14 15 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483837254277 1.347647301138 4 3 1 10 3012 2103 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 -1 0 1 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 -0.334123794439 1.648950383858 11 10 10 1 0132 2031 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846141048013 0.912525973332 9 12 2 11 3120 0132 0132 3201 1 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 -1 1 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846141048013 0.912525973332 11 12 5 8 2103 1230 0132 3120 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179662800947 1.065566677719 7 12 6 7 1302 2310 0132 3012 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 -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 0.846141048013 0.912525973332 7 8 9 12 0132 2310 2103 3120 0 1 1 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 0 0 0 0 0 1 1 -2 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 0.533183346485 0.421666488246 11 8 9 10 3120 0132 3012 3201 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 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533183346485 0.421666488246 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0101_7']), 's_3_11' : 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_1'], 'c_0101_10' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0110_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_9']), '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' : negation(d['c_0011_10']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), '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_0101_7'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0011_12'], '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_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_11']})} 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_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_8, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 8753040265492438025246276601837/2615030532849501192800*c_1001_0^12 + 25732609675206001845836918318901/2615030532849501192800*c_1001_0^11 - 9689485968378613465262507961959/237730048440863744800*c_1001_0^10 + 7309354985103757135920911050259/68816592969723715600*c_1001_0^9 + 114188815854885260603097651818263/1307515266424750596400*c_1001_0^8 - 785889242226810999587134570576233/1307515266424750596400*c_1001_0\ ^7 - 982078637068885376872713451443721/2615030532849501192800*c_100\ 1_0^6 + 370689400332087656909045105611093/523006106569900238560*c_1\ 001_0^5 + 4632659595415905722969855205546229/2615030532849501192800\ *c_1001_0^4 - 243650609266527725296480209141197/2615030532849501192\ 800*c_1001_0^3 - 211237326333247254133802912539415/1046012213139800\ 47712*c_1001_0^2 - 269083989586594382804579073773391/52300610656990\ 0238560*c_1001_0 + 66143481775567354441234195477697/118865024220431\ 872400, c_0011_0 - 1, c_0011_10 - 11289143269245/823164987676121*c_1001_0^12 - 85570995383051/1646329975352242*c_1001_0^11 + 86828451730737/823164987676121*c_1001_0^10 - 329453453170202/823164987676121*c_1001_0^9 - 431934599526043/823164987676121*c_1001_0^8 + 1170932927532332/823164987676121*c_1001_0^7 + 1994049412612036/823164987676121*c_1001_0^6 + 2173661520579653/1646329975352242*c_1001_0^5 - 3436595638972368/823164987676121*c_1001_0^4 - 2692808829853307/823164987676121*c_1001_0^3 - 1777183507645861/1646329975352242*c_1001_0^2 + 691359033723187/823164987676121*c_1001_0 + 60862183630109/823164987676121, c_0011_11 + 11289143269245/823164987676121*c_1001_0^12 + 85570995383051/1646329975352242*c_1001_0^11 - 86828451730737/823164987676121*c_1001_0^10 + 329453453170202/823164987676121*c_1001_0^9 + 431934599526043/823164987676121*c_1001_0^8 - 1170932927532332/823164987676121*c_1001_0^7 - 1994049412612036/823164987676121*c_1001_0^6 - 2173661520579653/1646329975352242*c_1001_0^5 + 3436595638972368/823164987676121*c_1001_0^4 + 2692808829853307/823164987676121*c_1001_0^3 + 1777183507645861/1646329975352242*c_1001_0^2 - 691359033723187/823164987676121*c_1001_0 - 60862183630109/823164987676121, c_0011_12 + 1, c_0011_6 - 9150330752321/1646329975352242*c_1001_0^12 - 29615439941728/823164987676121*c_1001_0^11 - 7611412118187/1646329975352242*c_1001_0^10 - 10623320802770/823164987676121*c_1001_0^9 - 592373938132732/823164987676121*c_1001_0^8 + 223015400194455/823164987676121*c_1001_0^7 + 4737419272258735/1646329975352242*c_1001_0^6 + 1748985370097542/823164987676121*c_1001_0^5 - 2871353407204587/1646329975352242*c_1001_0^4 - 11936839777816599/1646329975352242*c_1001_0^3 - 984355222553078/823164987676121*c_1001_0^2 + 3910768546509331/1646329975352242*c_1001_0 + 277057996709422/823164987676121, c_0011_9 - 6911154726293/1646329975352242*c_1001_0^12 - 45041652627619/3292659950704484*c_1001_0^11 + 66768878893845/1646329975352242*c_1001_0^10 - 111222556196655/823164987676121*c_1001_0^9 - 57282591356803/823164987676121*c_1001_0^8 + 815567876519313/1646329975352242*c_1001_0^7 + 1060918532368247/1646329975352242*c_1001_0^6 + 1321098582388545/3292659950704484*c_1001_0^5 - 2946203246234261/1646329975352242*c_1001_0^4 - 1017531709479794/823164987676121*c_1001_0^3 - 1213746700653993/3292659950704484*c_1001_0^2 + 977386604100133/1646329975352242*c_1001_0 + 614894348499153/823164987676121, c_0101_0 + 2558078088852/823164987676121*c_1001_0^12 + 58815133432/823164987676121*c_1001_0^11 - 114247212399797/1646329975352242*c_1001_0^10 + 148146834135047/823164987676121*c_1001_0^9 - 169417569898779/823164987676121*c_1001_0^8 - 698184461848014/823164987676121*c_1001_0^7 + 632500057062254/823164987676121*c_1001_0^6 + 1533152240859993/823164987676121*c_1001_0^5 + 2923338764181613/1646329975352242*c_1001_0^4 - 2246126633924627/823164987676121*c_1001_0^3 - 2193621998220056/823164987676121*c_1001_0^2 + 1048124371139199/1646329975352242*c_1001_0 + 165906081253912/823164987676121, c_0101_1 - c_1001_0, c_0101_3 + 2558078088852/823164987676121*c_1001_0^12 + 58815133432/823164987676121*c_1001_0^11 - 114247212399797/1646329975352242*c_1001_0^10 + 148146834135047/823164987676121*c_1001_0^9 - 169417569898779/823164987676121*c_1001_0^8 - 698184461848014/823164987676121*c_1001_0^7 + 632500057062254/823164987676121*c_1001_0^6 + 1533152240859993/823164987676121*c_1001_0^5 + 2923338764181613/1646329975352242*c_1001_0^4 - 2246126633924627/823164987676121*c_1001_0^3 - 2193621998220056/823164987676121*c_1001_0^2 + 1048124371139199/1646329975352242*c_1001_0 + 165906081253912/823164987676121, c_0101_7 + 59305872070753/1646329975352242*c_1001_0^12 + 256111036366117/1646329975352242*c_1001_0^11 - 170703313624163/823164987676121*c_1001_0^10 + 756710312601341/823164987676121*c_1001_0^9 + 1693684690808043/823164987676121*c_1001_0^8 - 2607656974769174/823164987676121*c_1001_0^7 - 12575992049073817/1646329975352242*c_1001_0^6 - 8597888427504013/1646329975352242*c_1001_0^5 + 7296123702260696/823164987676121*c_1001_0^4 + 20193321732545877/1646329975352242*c_1001_0^3 + 2171192006989763/1646329975352242*c_1001_0^2 - 998185468741559/823164987676121*c_1001_0 - 154967801831893/823164987676121, c_0101_8 + 13368387457807/1646329975352242*c_1001_0^12 + 111684201951021/1646329975352242*c_1001_0^11 + 56646804294116/823164987676121*c_1001_0^10 - 74247617399355/823164987676121*c_1001_0^9 + 1199040536249333/823164987676121*c_1001_0^8 + 353518029485538/823164987676121*c_1001_0^7 - 9925090080497959/1646329975352242*c_1001_0^6 - 9580942440167277/1646329975352242*c_1001_0^5 + 1361884210937515/823164987676121*c_1001_0^4 + 22344876825597063/1646329975352242*c_1001_0^3 + 10395111022162399/1646329975352242*c_1001_0^2 - 3119595571891586/823164987676121*c_1001_0 - 250390845292077/823164987676121, c_0110_10 + 13271733288167/823164987676121*c_1001_0^12 + 52271686425445/823164987676121*c_1001_0^11 - 210951486161825/1646329975352242*c_1001_0^10 + 336531815377750/823164987676121*c_1001_0^9 + 661939742040196/823164987676121*c_1001_0^8 - 1691434003161564/823164987676121*c_1001_0^7 - 2740061502228302/823164987676121*c_1001_0^6 - 553879112250729/823164987676121*c_1001_0^5 + 9949077091432013/1646329975352242*c_1001_0^4 + 4250233186471465/823164987676121*c_1001_0^3 - 1720246959897622/823164987676121*c_1001_0^2 - 2508269874902587/1646329975352242*c_1001_0 - 21400025532838/823164987676121, c_1001_0^13 + 3*c_1001_0^12 - 12*c_1001_0^11 + 31*c_1001_0^10 + 28*c_1001_0^9 - 178*c_1001_0^8 - 123*c_1001_0^7 + 205*c_1001_0^6 + 542*c_1001_0^5 + 4*c_1001_0^4 - 605*c_1001_0^3 - 190*c_1001_0^2 + 157*c_1001_0 + 10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB