Magma V2.19-8 Wed Aug 21 2013 01:01:56 on localhost [Seed = 2867638530] Type ? for help. Type -D to quit. Loading file "L14n13481__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13481 geometric_solution 12.02019403 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 2 0132 0132 1023 1023 0 0 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 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550280207515 0.360911117991 0 3 0 4 0132 0132 1023 0132 0 0 1 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 0 0 -1 1 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729336179920 0.833387597141 5 0 6 0 0132 0132 0132 1023 0 0 1 1 0 1 -1 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 1 -1 0 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729336179920 0.833387597141 5 1 6 5 1230 0132 0213 1302 0 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537329168367 1.012386168329 7 8 1 9 0132 0132 0132 0132 0 0 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 1 0 -1 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.462670831633 1.012386168329 2 3 3 7 0132 3012 2031 2103 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 0 0 0 0 0 0 0 0 0 0 1 0 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 0.537329168367 1.012386168329 10 3 9 2 0132 0213 0132 0132 0 0 1 1 0 0 -1 1 0 0 1 -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 -1 1 0 0 1 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718290877177 1.081803614328 4 11 10 5 0132 0132 3120 2103 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 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 -0.184061168478 0.926855343730 11 4 10 12 0132 0132 1230 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 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 2 0 -2 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.170127495293 1.416418176500 12 12 4 6 3012 0132 0132 0132 0 0 1 1 0 -1 0 1 1 0 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 -1 0 1 1 0 0 -1 3 0 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452409144943 0.728073175912 6 11 7 8 0132 1230 3120 3012 1 0 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 2 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 0.938095819567 0.899482906197 8 7 10 12 0132 0132 3012 2310 1 1 1 1 0 0 0 0 0 0 1 -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 1 0 -1 0 0 -2 2 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451448486286 0.490225108348 11 9 8 9 3201 0132 0132 1230 0 1 1 1 0 1 0 -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 1 0 -1 3 0 0 -3 1 -1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384280142444 0.990893126663 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_11'], '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_11'], '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_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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(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' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_1100_0']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : d['c_0101_6'], '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_0101_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_11']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_6, c_0101_7, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 30799403025755/86924292096*c_1100_0^14 - 46928525708985/14487382016*c_1100_0^13 + 1112131958340839/86924292096*c_1100_0^12 - 1144752538111265/28974764032*c_1100_0^11 + 5664962560840261/86924292096*c_1100_0^10 - 1228829997367943/14487382016*c_1100_0^9 + 1861083849728563/10865536512*c_1100_0^8 - 20033513824029983/86924292096*c_1100_0^7 + 20163068362238011/86924292096*c_1100_0^6 - 4984884546467771/21731073024*c_1100_0^5 + 74366277119359/339548016*c_1100_0^4 - 3125624234570641/21731073024*c_1100_0^3 + 4380542105929459/86924292096*c_1100_0^2 - 152338589606543/43462146048*c_1100_0 - 66010545378527/28974764032, c_0011_0 - 1, c_0011_10 - 3393518543/43462146048*c_1100_0^14 + 14816919389/21731073024*c_1100_0^13 - 109997717375/43462146048*c_1100_0^12 + 330344184919/43462146048*c_1100_0^11 - 479495846797/43462146048*c_1100_0^10 + 293419571953/21731073024*c_1100_0^9 - 42820792081/1358192064*c_1100_0^8 + 527565412633/14487382016*c_1100_0^7 - 1421750679107/43462146048*c_1100_0^6 + 384318797803/10865536512*c_1100_0^5 - 39857680987/1358192064*c_1100_0^4 + 55177732695/3621845504*c_1100_0^3 - 33152426685/14487382016*c_1100_0^2 - 10738295341/7243691008*c_1100_0 + 5432004037/43462146048, c_0011_11 + 29950451/905461376*c_1100_0^14 - 410293099/1810922752*c_1100_0^13 + 910894843/1810922752*c_1100_0^12 - 938449271/905461376*c_1100_0^11 - 3220608551/1810922752*c_1100_0^10 + 1906691427/452730688*c_1100_0^9 + 2532251241/905461376*c_1100_0^8 + 2524927623/226365344*c_1100_0^7 - 39110717165/1810922752*c_1100_0^6 + 3542217791/452730688*c_1100_0^5 - 4411661851/226365344*c_1100_0^4 + 2337884837/113182672*c_1100_0^3 - 11778469031/905461376*c_1100_0^2 + 2785084401/1810922752*c_1100_0 + 181264687/1810922752, c_0011_12 + 16682002427/43462146048*c_1100_0^14 - 73262186831/21731073024*c_1100_0^13 + 548440045823/43462146048*c_1100_0^12 - 1653930814531/43462146048*c_1100_0^11 + 2450672670637/43462146048*c_1100_0^10 - 1523607733861/21731073024*c_1100_0^9 + 871324837693/5432768256*c_1100_0^8 - 2773140836229/14487382016*c_1100_0^7 + 7654555386707/43462146048*c_1100_0^6 - 2056378441603/10865536512*c_1100_0^5 + 115382575925/679096032*c_1100_0^4 - 340855063531/3621845504*c_1100_0^3 + 345905291537/14487382016*c_1100_0^2 - 8115748641/7243691008*c_1100_0 - 16163474533/43462146048, c_0101_0 - 1, c_0101_1 - 971440319/21731073024*c_1100_0^14 + 2810424613/10865536512*c_1100_0^13 - 9174926735/21731073024*c_1100_0^12 + 22663860167/21731073024*c_1100_0^11 + 74293526963/21731073024*c_1100_0^10 - 19791751255/10865536512*c_1100_0^9 - 5468463773/1358192064*c_1100_0^8 - 425900492597/21731073024*c_1100_0^7 + 38625046863/7243691008*c_1100_0^6 - 23911678183/1810922752*c_1100_0^5 + 2938200093/226365344*c_1100_0^4 - 77953898971/5432768256*c_1100_0^3 + 83397235801/21731073024*c_1100_0^2 - 8339632031/10865536512*c_1100_0 - 25172393995/21731073024, c_0101_10 + 3393518543/43462146048*c_1100_0^14 - 14816919389/21731073024*c_1100_0^13 + 109997717375/43462146048*c_1100_0^12 - 330344184919/43462146048*c_1100_0^11 + 479495846797/43462146048*c_1100_0^10 - 293419571953/21731073024*c_1100_0^9 + 42820792081/1358192064*c_1100_0^8 - 527565412633/14487382016*c_1100_0^7 + 1421750679107/43462146048*c_1100_0^6 - 384318797803/10865536512*c_1100_0^5 + 39857680987/1358192064*c_1100_0^4 - 55177732695/3621845504*c_1100_0^3 + 33152426685/14487382016*c_1100_0^2 + 10738295341/7243691008*c_1100_0 - 48894150085/43462146048, c_0101_11 + 564543865/3621845504*c_1100_0^14 - 3603455507/2716384128*c_1100_0^13 + 17120740691/3621845504*c_1100_0^12 - 150794275715/10865536512*c_1100_0^11 + 65754676153/3621845504*c_1100_0^10 - 112491011573/5432768256*c_1100_0^9 + 50990601193/905461376*c_1100_0^8 - 631182860243/10865536512*c_1100_0^7 + 470342400557/10865536512*c_1100_0^6 - 148886736001/2716384128*c_1100_0^5 + 29670775355/679096032*c_1100_0^4 - 38989736365/2716384128*c_1100_0^3 - 48804350405/10865536512*c_1100_0^2 + 6057045665/2716384128*c_1100_0 - 4051124819/10865536512, c_0101_5 - 1, c_0101_6 - 950271611/43462146048*c_1100_0^14 + 4599933325/21731073024*c_1100_0^13 - 38065775315/43462146048*c_1100_0^12 + 117470235491/43462146048*c_1100_0^11 - 210942664681/43462146048*c_1100_0^10 + 130972958453/21731073024*c_1100_0^9 - 33833270189/2716384128*c_1100_0^8 + 806346675031/43462146048*c_1100_0^7 - 238140903885/14487382016*c_1100_0^6 + 74833721685/3621845504*c_1100_0^5 - 8657309143/452730688*c_1100_0^4 + 149883471257/10865536512*c_1100_0^3 - 322140119267/43462146048*c_1100_0^2 + 66254905321/21731073024*c_1100_0 - 40111071007/43462146048, c_0101_7 + 831608243/7243691008*c_1100_0^14 - 10811010535/10865536512*c_1100_0^13 + 27019229523/7243691008*c_1100_0^12 - 249978562001/21731073024*c_1100_0^11 + 125254758209/7243691008*c_1100_0^10 - 261946481675/10865536512*c_1100_0^9 + 45198826481/905461376*c_1100_0^8 - 1265740699205/21731073024*c_1100_0^7 + 1459560336725/21731073024*c_1100_0^6 - 327271513909/5432768256*c_1100_0^5 + 10098677941/169774008*c_1100_0^4 - 200021991451/5432768256*c_1100_0^3 + 293737783537/21731073024*c_1100_0^2 - 11277593243/10865536512*c_1100_0 - 6036445859/21731073024, c_1001_12 + 3393518543/43462146048*c_1100_0^14 - 14816919389/21731073024*c_1100_0^13 + 109997717375/43462146048*c_1100_0^12 - 330344184919/43462146048*c_1100_0^11 + 479495846797/43462146048*c_1100_0^10 - 293419571953/21731073024*c_1100_0^9 + 42820792081/1358192064*c_1100_0^8 - 527565412633/14487382016*c_1100_0^7 + 1421750679107/43462146048*c_1100_0^6 - 384318797803/10865536512*c_1100_0^5 + 39857680987/1358192064*c_1100_0^4 - 55177732695/3621845504*c_1100_0^3 + 33152426685/14487382016*c_1100_0^2 + 10738295341/7243691008*c_1100_0 - 48894150085/43462146048, c_1100_0^15 - 9*c_1100_0^14 + 35*c_1100_0^13 - 108*c_1100_0^12 + 174*c_1100_0^11 - 231*c_1100_0^10 + 474*c_1100_0^9 - 613*c_1100_0^8 + 636*c_1100_0^7 - 635*c_1100_0^6 + 604*c_1100_0^5 - 396*c_1100_0^4 + 157*c_1100_0^3 - 25*c_1100_0^2 - c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB