Magma V2.19-8 Wed Aug 21 2013 00:55:19 on localhost [Seed = 2716318677] Type ? for help. Type -D to quit. Loading file "L13a4300__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4300 geometric_solution 11.25144046 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 0 -1 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 0.694410566559 0.933799961280 0 4 4 5 0132 0132 1302 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 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 0.377504833753 0.646146438558 0 0 7 6 3012 0132 0132 0132 0 0 1 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 -1 1 0 1 0 -2 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316552511247 0.967300208704 8 7 9 0 0132 3120 0132 0132 0 1 1 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 -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 0.978683754245 0.703330860760 1 1 10 11 2031 0132 0132 0132 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 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 0.325902425555 1.153801774238 9 8 1 10 0321 0321 0132 1230 0 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 -1 1 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 -0.305731509107 1.234184534582 8 7 2 7 1023 3012 0132 1302 0 0 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 0 0 0 0 0 0 1 0 -1 0 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994190996934 0.969804191554 6 3 6 2 1230 3120 2031 0132 0 0 1 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 1 0 -1 -2 0 0 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.623378140154 1.268675111080 3 6 9 5 0132 1023 0321 0321 0 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 -1 0 1 1 0 -1 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 0.681679507999 0.498479689139 5 11 8 3 0321 2103 0321 0132 0 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 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 0.635201684569 0.562509148748 5 11 12 4 3012 2031 0132 0132 0 0 1 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403073149853 0.192109478880 10 9 4 12 1302 2103 0132 2310 0 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 0 0 0 0 0 -1 0 1 1 0 -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 -0.090293740367 0.527675460587 11 12 12 10 3201 1230 3012 0132 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 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 0.826961932036 1.774157200642 ==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' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_6'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0011_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_7'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_12'], '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_0']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0011_11'], 's_2_9' : d['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_11, c_0011_12, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_12, c_0101_4, c_0101_6, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 64500937274889727199850397467708731/20980824354933742610950*c_0101_\ 7^23 - 469146823990735712691992717209178609/20980824354933742610950\ *c_0101_7^22 + 1243334978075940087643043979488428779/20980824354933\ 742610950*c_0101_7^21 + 204179711908927945154769100294654379/104904\ 12177466871305475*c_0101_7^20 - 73312962570934639264350792423215098\ 78/10490412177466871305475*c_0101_7^19 + 60631486092562836407971150979188553743/20980824354933742610950*c_01\ 01_7^18 - 78971696317461572148049961093022599632/104904121774668713\ 05475*c_0101_7^17 + 309106139652593605171641477838392651373/2098082\ 4354933742610950*c_0101_7^16 - 485796886961176241181245000811285169\ 009/20980824354933742610950*c_0101_7^15 + 126838131827795649092408207908013167969/4196164870986748522190*c_01\ 01_7^14 - 350207852277996634076317411920407997622/10490412177466871\ 305475*c_0101_7^13 + 66008989910197451059769087103526636443/2098082\ 435493374261095*c_0101_7^12 - 5316010936808063369053051633340009624\ 67/20980824354933742610950*c_0101_7^11 + 36426946372958309039897921051430277071/2098082435493374261095*c_010\ 1_7^10 - 210402748430205295155667865742490408549/209808243549337426\ 10950*c_0101_7^9 + 2462714240052181094500512451063888953/5117274232\ 91066892950*c_0101_7^8 - 39423138952995512848267346792474937639/209\ 80824354933742610950*c_0101_7^7 + 205632738484736999288427543007819\ 181/355607192456504112050*c_0101_7^6 - 1394216229465681804674270850432961679/10490412177466871305475*c_010\ 1_7^5 + 10390254266315487089130732514211499/511727423291066892950*c\ _0101_7^4 - 545001993691900526827041447388031/419616487098674852219\ *c_0101_7^3 - 1995960560024027103536421687812177/104904121774668713\ 05475*c_0101_7^2 + 1058522611854816036891753294787847/2098082435493\ 3742610950*c_0101_7 - 38171238714810763560112894062918/104904121774\ 66871305475, c_0011_0 - 1, c_0011_10 + 164854405759867308/4221923425*c_0101_7^23 - 1040010845899605282/4221923425*c_0101_7^22 + 2126262626681472812/4221923425*c_0101_7^21 + 3381171303983596644/4221923425*c_0101_7^20 - 34731575988162075068/4221923425*c_0101_7^19 + 120290430089874495274/4221923425*c_0101_7^18 - 277925567524133622487/4221923425*c_0101_7^17 + 490253891696798163774/4221923425*c_0101_7^16 - 698658189784420312452/4221923425*c_0101_7^15 + 165614961653110313252/844384685*c_0101_7^14 - 828097123709130157217/4221923425*c_0101_7^13 + 140352230100214819024/844384685*c_0101_7^12 - 502266886844854901896/4221923425*c_0101_7^11 + 60135729731078938128/844384685*c_0101_7^10 - 148207005851381446662/4221923425*c_0101_7^9 + 58773053445652486084/4221923425*c_0101_7^8 - 18095646585784911297/4221923425*c_0101_7^7 + 4061880525642204162/4221923425*c_0101_7^6 - 572895401711972019/4221923425*c_0101_7^5 + 21976790443056172/4221923425*c_0101_7^4 + 1721381680949343/844384685*c_0101_7^3 - 1590293125102692/4221923425*c_0101_7^2 + 65627400629561/4221923425*c_0101_7 + 4707943122742/4221923425, c_0011_11 + 79715509030295439/4221923425*c_0101_7^23 - 528070418778942931/4221923425*c_0101_7^22 + 1188991458100916696/4221923425*c_0101_7^21 + 1299273496839740752/4221923425*c_0101_7^20 - 17294088924669394119/4221923425*c_0101_7^19 + 63524601020333205867/4221923425*c_0101_7^18 - 153134251348439121296/4221923425*c_0101_7^17 + 280654385923287252842/4221923425*c_0101_7^16 - 415157971101136771341/4221923425*c_0101_7^15 + 102235052003183296551/844384685*c_0101_7^14 - 532379393508962428136/4221923425*c_0101_7^13 + 94402901953970550202/844384685*c_0101_7^12 - 355997177223357389693/4221923425*c_0101_7^11 + 45389692538306375839/844384685*c_0101_7^10 - 120931147821267789221/4221923425*c_0101_7^9 + 52993775972318060197/4221923425*c_0101_7^8 - 18658644684319176901/4221923425*c_0101_7^7 + 5092344752042454096/4221923425*c_0101_7^6 - 1009809379522554227/4221923425*c_0101_7^5 + 124058481544324376/4221923425*c_0101_7^4 - 636132779979946/844384685*c_0101_7^3 - 1824492528573661/4221923425*c_0101_7^2 + 311471789313863/4221923425*c_0101_7 - 17665285041564/4221923425, c_0011_12 + 34338931670638216/4221923425*c_0101_7^23 - 377407406425683964/4221923425*c_0101_7^22 + 1467022713709864024/4221923425*c_0101_7^21 - 1429367173883189212/4221923425*c_0101_7^20 - 10417622311199262336/4221923425*c_0101_7^19 + 59152496060738522248/4221923425*c_0101_7^18 - 177225030116689457799/4221923425*c_0101_7^17 + 379922635110136095848/4221923425*c_0101_7^16 - 638887365715576190004/4221923425*c_0101_7^15 + 176038947129509959584/844384685*c_0101_7^14 - 1016938565102859455834/4221923425*c_0101_7^13 + 199348723864260844648/844384685*c_0101_7^12 - 831284295248451754092/4221923425*c_0101_7^11 + 117540958547612647016/844384685*c_0101_7^10 - 348909317807022305699/4221923425*c_0101_7^9 + 171377947462412529468/4221923425*c_0101_7^8 - 68164413818781315344/4221923425*c_0101_7^7 + 21259337993237511024/4221923425*c_0101_7^6 - 4923763166330920888/4221923425*c_0101_7^5 + 752858487271573544/4221923425*c_0101_7^4 - 9478273136944504/844384685*c_0101_7^3 - 7191231956725784/4221923425*c_0101_7^2 + 1859228238815872/4221923425*c_0101_7 - 131348341215316/4221923425, c_0011_3 - 82082172285217643/4221923425*c_0101_7^23 + 436189188015819972/4221923425*c_0101_7^22 - 537379514388565527/4221923425*c_0101_7^21 - 2774544473467608924/4221923425*c_0101_7^20 + 15690568838369389678/4221923425*c_0101_7^19 - 42548759798801457904/4221923425*c_0101_7^18 + 77527075387089058202/4221923425*c_0101_7^17 - 102197846167173743254/4221923425*c_0101_7^16 + 95502883429976066042/4221923425*c_0101_7^15 - 9966502847473499052/844384685*c_0101_7^14 - 20717298936786965818/4221923425*c_0101_7^13 + 17457410469653203556/844384685*c_0101_7^12 - 123468504150134728484/4221923425*c_0101_7^11 + 24114492360018827212/844384685*c_0101_7^10 - 90155747596346544873/4221923425*c_0101_7^9 + 52902310264294464686/4221923425*c_0101_7^8 - 24297493725146849088/4221923425*c_0101_7^7 + 8556716587364656173/4221923425*c_0101_7^6 - 2210266895968818101/4221923425*c_0101_7^5 + 378878752099962913/4221923425*c_0101_7^4 - 6019537716904888/844384685*c_0101_7^3 - 2755910453941118/4221923425*c_0101_7^2 + 928906466042769/4221923425*c_0101_7 - 71482520175232/4221923425, c_0011_5 - 7004393792072243/844384685*c_0101_7^23 + 16092390605732282/844384685*c_0101_7^22 + 88855138850397228/844384685*c_0101_7^21 - 517904163122564124/844384685*c_0101_7^20 + 921945631509855503/844384685*c_0101_7^19 + 853176874511218386/844384685*c_0101_7^18 - 9092333242793978753/844384685*c_0101_7^17 + 27868836989280384236/844384685*c_0101_7^16 - 56862896529818246513/844384685*c_0101_7^15 + 17809179776535969632/168876937*c_0101_7^14 - 113135626990391341103/844384685*c_0101_7^13 + 23932848244207597442/168876937*c_0101_7^12 - 106438915703586182189/844384685*c_0101_7^11 + 15922212843290204332/168876937*c_0101_7^10 - 49696483459554812773/844384685*c_0101_7^9 + 25538374397226517816/844384685*c_0101_7^8 - 10583520757279770358/844384685*c_0101_7^7 + 3428624496530365103/844384685*c_0101_7^6 - 823862752192429381/844384685*c_0101_7^5 + 131293525789398048/844384685*c_0101_7^4 - 1815334196914617/168876937*c_0101_7^3 - 1141807696688193/844384685*c_0101_7^2 + 323332721648579/844384685*c_0101_7 - 23607672543402/844384685, c_0011_7 + 1, c_0101_0 + 1849*c_0101_7^23 - 12423*c_0101_7^22 + 29217*c_0101_7^21 + 24985*c_0101_7^20 - 400387*c_0101_7^19 + 1524981*c_0101_7^18 - 3778783*c_0101_7^17 + 7106553*c_0101_7^16 - 10785631*c_0101_7^15 + 13633693*c_0101_7^14 - 14597553*c_0101_7^13 + 13337331*c_0101_7^12 - 10403347*c_0101_7^11 + 6892485*c_0101_7^10 - 3840331*c_0101_7^9 + 1772885*c_0101_7^8 - 663679*c_0101_7^7 + 194966*c_0101_7^6 - 42455*c_0101_7^5 + 6029*c_0101_7^4 - 310*c_0101_7^3 - 66*c_0101_7^2 + 16*c_0101_7 - 1, c_0101_10 + 467528253713334316/4221923425*c_0101_7^23 - 3338597322928138064/4221923425*c_0101_7^22 + 8501404524814017649/4221923425*c_0101_7^21 + 4468909092543882013/4221923425*c_0101_7^20 - 106281239282637860761/4221923425*c_0101_7^19 + 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