Magma V2.19-8 Wed Aug 21 2013 00:58:45 on localhost [Seed = 4155632775] Type ? for help. Type -D to quit. Loading file "L13n5956__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5956 geometric_solution 12.48647059 oriented_manifold CS_known 0.0000000000000009 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 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 0.624400651616 1.179620928505 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 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 0.527762512400 0.529497563511 6 0 8 7 0132 0132 0132 0132 0 1 1 1 0 0 0 0 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 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 0.666036313945 0.578192212422 7 9 10 0 0321 0132 0132 0132 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 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 0.647016314921 1.045246015777 11 1 0 12 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 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 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 -0.133145198559 0.778563069349 7 8 1 9 1302 0132 0132 1302 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 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 1.001614499680 0.710723631152 2 11 10 1 0132 0132 3201 0132 0 1 1 1 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 -1 1 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705854100581 0.929000046914 3 5 2 12 0321 2031 0132 2310 0 1 1 1 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 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 0.509022829787 0.898937890700 11 5 10 2 3120 0132 0213 0132 0 1 1 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 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 0.566256969262 0.752074306114 11 3 5 12 2031 0132 2031 2031 0 0 1 1 0 0 0 0 0 0 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 -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 0.269787176666 0.655708996351 6 8 12 3 2310 0213 0132 0132 0 1 1 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 0 0 0 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267870602025 0.586824224948 4 6 9 8 0132 0132 1302 3120 0 1 1 1 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 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 0.628374892942 1.060866392264 7 9 4 10 3201 1302 0132 0132 0 1 0 1 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 -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 0.320028942556 1.152594976521 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : 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' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : negation(d['c_0011_5']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(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_1100_0'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_5']), 'c_0101_12' : d['c_0011_3'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_3, c_0011_5, c_0011_7, c_0101_1, c_0101_3, c_0110_5, c_0110_9, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 100619758775433496825906558709/7283494481720203830709912*c_1100_0^1\ 1 + 408258446143570966509534190905/3641747240860101915354956*c_1100\ _0^10 - 1388677061210884605556697346751/7283494481720203830709912*c\ _1100_0^9 - 351663512978226306030620670019/364174724086010191535495\ 6*c_1100_0^8 + 11200605062051910004964049544/5355510648323679287286\ 7*c_1100_0^7 + 2009158876991719465718020090533/72834944817202038307\ 09912*c_1100_0^6 - 1816662647261438135254400316491/3641747240860101\ 915354956*c_1100_0^5 + 414341392986308562450831918489/7283494481720\ 203830709912*c_1100_0^4 + 193168174192086226442387223172/9104368102\ 15025478838739*c_1100_0^3 - 8682140999919407129120686797/1820873620\ 430050957677478*c_1100_0^2 - 130692599247810617968735020377/7283494\ 481720203830709912*c_1100_0 + 40427339666495921911957927061/7283494\ 481720203830709912, c_0011_0 - 1, c_0011_10 + 11197319774211733493/1162176056318104084*c_1100_0^11 - 17312885155674839579/290544014079526021*c_1100_0^10 + 31332369279874791549/1162176056318104084*c_1100_0^9 + 37606330471592836797/581088028159052042*c_1100_0^8 - 724484292704202117/290544014079526021*c_1100_0^7 - 153560507452322401677/1162176056318104084*c_1100_0^6 + 29147538119638237849/290544014079526021*c_1100_0^5 + 31504450345297201697/1162176056318104084*c_1100_0^4 - 5979623749143438144/290544014079526021*c_1100_0^3 + 615855243077627428/290544014079526021*c_1100_0^2 + 4459504064397640897/1162176056318104084*c_1100_0 - 1184000698289362399/1162176056318104084, c_0011_12 - 1428626839758335602/290544014079526021*c_1100_0^11 + 8229442331885281226/290544014079526021*c_1100_0^10 - 487487944227306644/290544014079526021*c_1100_0^9 - 9907712915823529203/290544014079526021*c_1100_0^8 - 3776689837441359997/290544014079526021*c_1100_0^7 + 17728015646637146493/290544014079526021*c_1100_0^6 - 7178553895903712494/290544014079526021*c_1100_0^5 - 6782527584018825990/290544014079526021*c_1100_0^4 + 317772065263315543/290544014079526021*c_1100_0^3 - 761987824343328693/290544014079526021*c_1100_0^2 - 413326911980306556/290544014079526021*c_1100_0 - 20445794402757018/290544014079526021, c_0011_3 - 24172850298470474117/77865795773312973628*c_1100_0^11 - 6591678964259739904/19466448943328243407*c_1100_0^10 + 1074384415831434446151/77865795773312973628*c_1100_0^9 - 513193246006080174753/38932897886656486814*c_1100_0^8 - 199936900482000872824/19466448943328243407*c_1100_0^7 + 634904031174467714917/77865795773312973628*c_1100_0^6 + 472880430449462616443/19466448943328243407*c_1100_0^5 - 2643364563613952657401/77865795773312973628*c_1100_0^4 + 140418369858929928961/19466448943328243407*c_1100_0^3 + 38269884203920063719/19466448943328243407*c_1100_0^2 - 206189374851180683385/77865795773312973628*c_1100_0 + 79706639154158678003/77865795773312973628, c_0011_5 + 4601266212704194831/1162176056318104084*c_1100_0^11 - 7304700278018578971/290544014079526021*c_1100_0^10 + 17308719316190305051/1162176056318104084*c_1100_0^9 + 15247612801835101765/581088028159052042*c_1100_0^8 - 1773890017323206979/290544014079526021*c_1100_0^7 - 64762188823974961659/1162176056318104084*c_1100_0^6 + 14335391840339243491/290544014079526021*c_1100_0^5 + 9056377449747053563/1162176056318104084*c_1100_0^4 - 3402858496347098082/290544014079526021*c_1100_0^3 + 432673248778177164/290544014079526021*c_1100_0^2 + 1016453284600487659/1162176056318104084*c_1100_0 - 700646612441307001/1162176056318104084, c_0011_7 - 1766176281881467494227/77865795773312973628*c_1100_0^11 + 2646928192793046343668/19466448943328243407*c_1100_0^10 - 2761867076469313248851/77865795773312973628*c_1100_0^9 - 6762570034543916039789/38932897886656486814*c_1100_0^8 - 262358944558454700430/19466448943328243407*c_1100_0^7 + 24720943445731083433155/77865795773312973628*c_1100_0^6 - 3555169000512981273730/19466448943328243407*c_1100_0^5 - 9690357659891526555275/77865795773312973628*c_1100_0^4 + 1266630534166954276726/19466448943328243407*c_1100_0^3 - 67223892446305088343/19466448943328243407*c_1100_0^2 - 1159025486462657571539/77865795773312973628*c_1100_0 + 216289148284469655957/77865795773312973628, c_0101_1 - 237056698370071632119/19466448943328243407*c_1100_0^11 + 1412353529620553477211/19466448943328243407*c_1100_0^10 - 339399997851335510943/19466448943328243407*c_1100_0^9 - 1696316258864867099459/19466448943328243407*c_1100_0^8 - 279797982739235034476/19466448943328243407*c_1100_0^7 + 3165012144487690095527/19466448943328243407*c_1100_0^6 - 1759655337498773178472/19466448943328243407*c_1100_0^5 - 1079719369648903896214/19466448943328243407*c_1100_0^4 + 367068311908571467976/19466448943328243407*c_1100_0^3 - 82825404017796589923/19466448943328243407*c_1100_0^2 - 82140391338406931923/19466448943328243407*c_1100_0 + 13672289997072524364/19466448943328243407, c_0101_3 + 201378905694738257083/38932897886656486814*c_1100_0^11 - 569065479901205633246/19466448943328243407*c_1100_0^10 - 135266824041015152433/38932897886656486814*c_1100_0^9 + 939184680594710347886/19466448943328243407*c_1100_0^8 + 254537616025189262299/19466448943328243407*c_1100_0^7 - 2962721968073279175491/38932897886656486814*c_1100_0^6 + 345730040560555986152/19466448943328243407*c_1100_0^5 + 2070511313921563108017/38932897886656486814*c_1100_0^4 - 332164532527900601703/19466448943328243407*c_1100_0^3 - 44528740291324138868/19466448943328243407*c_1100_0^2 + 212074768428637301367/38932897886656486814*c_1100_0 - 61453937458320049633/38932897886656486814, c_0110_5 + 1, c_0110_9 + 556743423212662253/290544014079526021*c_1100_0^11 - 2767550078697421593/290544014079526021*c_1100_0^10 - 2481018755673601867/290544014079526021*c_1100_0^9 + 4824871138703268711/290544014079526021*c_1100_0^8 + 4408604420473603338/290544014079526021*c_1100_0^7 - 6710087836759740780/290544014079526021*c_1100_0^6 - 3070472591724918248/290544014079526021*c_1100_0^5 + 6792611650473236701/290544014079526021*c_1100_0^4 + 1426352586658624460/290544014079526021*c_1100_0^3 - 633223918431642255/290544014079526021*c_1100_0^2 + 238703757536520151/290544014079526021*c_1100_0 + 126852978170486942/290544014079526021, c_1001_10 + 7682363557038123191/1162176056318104084*c_1100_0^11 - 11341419946676823027/290544014079526021*c_1100_0^10 + 8743559443216160271/1162176056318104084*c_1100_0^9 + 27209861337024139787/581088028159052042*c_1100_0^8 + 3389548072428952521/290544014079526021*c_1100_0^7 - 102223330753585106439/1162176056318104084*c_1100_0^6 + 12466338597876302191/290544014079526021*c_1100_0^5 + 38239146883531253271/1162176056318104084*c_1100_0^4 - 1942485992176200611/290544014079526021*c_1100_0^3 - 71021223741495393/290544014079526021*c_1100_0^2 + 2542517561328834563/1162176056318104084*c_1100_0 - 180515302666812265/1162176056318104084, c_1001_2 + 2937107745771205711/581088028159052042*c_1100_0^11 - 9154205129273854313/290544014079526021*c_1100_0^10 + 8739828700712802053/581088028159052042*c_1100_0^9 + 10748416829098458005/290544014079526021*c_1100_0^8 - 1176541755926663828/290544014079526021*c_1100_0^7 - 41917509988181945713/581088028159052042*c_1100_0^6 + 15937685311599576843/290544014079526021*c_1100_0^5 + 10763665338954035089/581088028159052042*c_1100_0^4 - 4733058787396304550/290544014079526021*c_1100_0^3 + 145748997304383885/290544014079526021*c_1100_0^2 + 988378091483792939/581088028159052042*c_1100_0 - 489261778571207189/581088028159052042, c_1100_0^12 - 231/37*c_1100_0^11 + 117/37*c_1100_0^10 + 243/37*c_1100_0^9 - 30/37*c_1100_0^8 - 501/37*c_1100_0^7 + 419/37*c_1100_0^6 + 77/37*c_1100_0^5 - 99/37*c_1100_0^4 + 28/37*c_1100_0^3 + 13/37*c_1100_0^2 - 6/37*c_1100_0 + 1/37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.510 seconds, Total memory usage: 32.09MB