Magma V2.19-8 Wed Aug 21 2013 01:03:36 on localhost [Seed = 3313753594] Type ? for help. Type -D to quit. Loading file "L14n20662__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20662 geometric_solution 11.18847780 oriented_manifold CS_known 0.0000000000000003 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 1 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 0.840296504725 0.688524190345 0 4 3 3 0132 2103 2310 1230 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 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617014546742 0.492961230488 5 0 7 6 0132 0132 0132 0132 1 1 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 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 0.534375176943 1.089248710931 1 1 8 0 3012 3201 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027948506956 0.474653613947 8 1 0 9 1230 2103 0132 0132 1 1 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 0 0 0 1 -1 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 1.360553033608 1.872244259541 2 7 8 10 0132 3120 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854471267112 0.778256999607 10 8 2 9 3201 0213 0132 0213 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 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 -0.848514766700 1.729760444650 11 5 9 2 0132 3120 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245578466151 0.568355948495 5 4 6 3 2031 3012 0213 0132 1 1 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 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 0.804677267209 1.286959029598 10 7 4 6 0132 0213 0132 0213 1 1 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 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 0.425999853748 1.328592650638 9 12 5 6 0132 0132 0132 2310 1 1 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 0 0 0 1 0 -1 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 -0.293806990184 0.505362810553 7 12 12 12 0132 1302 1023 1230 0 1 1 1 0 2 -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 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 0.317374960057 0.661399130539 11 10 11 11 3012 0132 1023 2031 1 0 1 1 0 0 0 0 1 0 1 -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 -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 0.410276282054 1.228965115072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_10'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1010_6'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_1010_9'], 'c_1100_6' : d['c_1010_9'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_1010_9'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1010_6'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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_0101_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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_6'], '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_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(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_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_1010_6, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 65548082577447089030859354672202494697777714063/4488574306209015671\ 33280055175368959296109001625*c_1010_9^13 + 73260554149154397295578224093593411805459954006/1795429722483606268\ 5331202207014758371844360065*c_1010_9^12 + 41182739670738283882872668916549796182822308693059/1795429722483606\ 268533120220701475837184436006500*c_1010_9^11 + 31164160215260364391658362664507414736384298419471/4488574306209015\ 67133280055175368959296109001625*c_1010_9^10 + 12996003005745487257503452250705875309460501708483/8977148612418031\ 3426656011035073791859221800325*c_1010_9^9 + 24849136377268534292282644618313693519624296886539/1056135130872709\ 56972536483570675049246143294500*c_1010_9^8 + 106514359238130981905589196774045253645781393603588/448857430620901\ 567133280055175368959296109001625*c_1010_9^7 - 42904916344092856188127304646604296152989211858277/3590859444967212\ 53706624044140295167436887201300*c_1010_9^6 - 558023503044683940661344516913096203410441937502499/897714861241803\ 134266560110350737918592218003250*c_1010_9^5 - 1305508566312781739104251881039365894616292849712771/17954297224836\ 06268533120220701475837184436006500*c_1010_9^4 - 40915334737760096996776836004994562651210092434507/6905498932629254\ 8789735393103902916814786000250*c_1010_9^3 - 34545215441193415092848331005473781431701833594846/8977148612418031\ 3426656011035073791859221800325*c_1010_9^2 - 214034624297898025841369191158121964239394369785753/179542972248360\ 6268533120220701475837184436006500*c_1010_9 - 23254841191078999363422965752878001564674916439584/4488574306209015\ 67133280055175368959296109001625, c_0011_0 - 1, c_0011_10 + 83697743243996158517635336/2359143013128846933085535875*c_1\ 010_9^13 + 483279189718243824220247436/471828602625769386617107175*\ c_1010_9^12 + 15406460336078580014535655782/23591430131288469330855\ 35875*c_1010_9^11 + 54585711318260415067137245127/23591430131288469\ 33085535875*c_1010_9^10 + 1101169080325805856829774069/188731441050\ 30775464684287*c_1010_9^9 + 279889900925017426679409683364/23591430\ 13128846933085535875*c_1010_9^8 + 446731231575307232104761647526/23\ 59143013128846933085535875*c_1010_9^7 + 92444892573424174035628458762/471828602625769386617107175*c_1010_9^\ 6 + 286735885723625932746526624521/2359143013128846933085535875*c_1\ 010_9^5 + 143933635429581997146498354342/23591430131288469330855358\ 75*c_1010_9^4 + 66585333786784612915242164114/235914301312884693308\ 5535875*c_1010_9^3 + 1008045078629279144811578954/47182860262576938\ 6617107175*c_1010_9^2 + 9315280277943813067008400091/23591430131288\ 46933085535875*c_1010_9 - 2935701186379999290025674838/235914301312\ 8846933085535875, c_0011_11 + 33143129113675038181131272/471828602625769386617107175*c_10\ 10_9^13 + 190986067321747635722418888/94365720525153877323421435*c_\ 1010_9^12 + 6044157749525632936448727514/47182860262576938661710717\ 5*c_1010_9^11 + 21235752067260575280071435934/471828602625769386617\ 107175*c_1010_9^10 + 2125147803081623988603398852/18873144105030775\ 464684287*c_1010_9^9 + 107300016727898243474806392028/4718286026257\ 69386617107175*c_1010_9^8 + 169627281141406146974852936322/47182860\ 2625769386617107175*c_1010_9^7 + 6845661407204853133870467776/18873\ 144105030775464684287*c_1010_9^6 + 100661424981093061365703882972/471828602625769386617107175*c_1010_9\ ^5 + 48579727101812731078000359394/471828602625769386617107175*c_10\ 10_9^4 + 21190511441965540795263248018/471828602625769386617107175*\ c_1010_9^3 - 136113408204358269920668308/94365720525153877323421435\ *c_1010_9^2 + 3085393242900659145267226592/471828602625769386617107\ 175*c_1010_9 - 1421458347145626141711837046/47182860262576938661710\ 7175, c_0011_3 + 104680278829716266778119552/2359143013128846933085535875*c_1\ 010_9^13 + 605628047390592213237958204/471828602625769386617107175*\ c_1010_9^12 + 19448503131402364718556843784/23591430131288469330855\ 35875*c_1010_9^11 + 69595174014633596123109116419/23591430131288469\ 33085535875*c_1010_9^10 + 1422053075510044009226877868/188731441050\ 30775464684287*c_1010_9^9 + 366868399438562236793289019973/23591430\ 13128846933085535875*c_1010_9^8 + 598526698190037250342074122122/23\ 59143013128846933085535875*c_1010_9^7 + 130786726639533920643507600044/471828602625769386617107175*c_1010_9\ ^6 + 469813854114602276356944212872/2359143013128846933085535875*c_\ 1010_9^5 + 301754336961721928742827072304/2359143013128846933085535\ 875*c_1010_9^4 + 179105911737068689703465213428/2359143013128846933\ 085535875*c_1010_9^3 + 11225171665055698178673558677/47182860262576\ 9386617107175*c_1010_9^2 + 25721146988452309229164401732/2359143013\ 128846933085535875*c_1010_9 + 2195848270569444344648758064/23591430\ 13128846933085535875, c_0011_4 - 82774631141173719985023472/2359143013128846933085535875*c_10\ 10_9^13 - 498666820282894731165793984/471828602625769386617107175*c\ _1010_9^12 - 18250306182836001787534519624/235914301312884693308553\ 5875*c_1010_9^11 - 73721677575910505563842124884/235914301312884693\ 3085535875*c_1010_9^10 - 1664267122237786325899238879/1887314410503\ 0775464684287*c_1010_9^9 - 462922002821247857772026598053/235914301\ 3128846933085535875*c_1010_9^8 - 829008611172041455312152131542/235\ 9143013128846933085535875*c_1010_9^7 - 218996364486053096369868424034/471828602625769386617107175*c_1010_9\ ^6 - 995523440043785371635234662492/2359143013128846933085535875*c_\ 1010_9^5 - 653213669322204494094296301844/2359143013128846933085535\ 875*c_1010_9^4 - 357580283440638448841778246283/2359143013128846933\ 085535875*c_1010_9^3 - 30248893157353644753716998952/47182860262576\ 9386617107175*c_1010_9^2 - 43374045547040462866495220602/2359143013\ 128846933085535875*c_1010_9 - 16100998087667597604684380229/2359143\ 013128846933085535875, c_0011_6 + 59393096854489493637983152/2359143013128846933085535875*c_10\ 10_9^13 + 60236776202536952728478236/94365720525153877323421435*c_1\ 010_9^12 + 4912855391620984001599039464/235914301312884693308553587\ 5*c_1010_9^11 + 515532268807692479700668859/23591430131288469330855\ 35875*c_1010_9^10 - 300737164153576930355192603/1887314410503077546\ 4684287*c_1010_9^9 - 143567232290632307692351912002/235914301312884\ 6933085535875*c_1010_9^8 - 383072860070983345831380076408/235914301\ 3128846933085535875*c_1010_9^7 - 159798489200268087170505008606/471\ 828602625769386617107175*c_1010_9^6 - 988731635467580104019853830603/2359143013128846933085535875*c_1010_\ 9^5 - 704894789665863117808999700016/2359143013128846933085535875*c\ _1010_9^4 - 435548559600117713441563605132/235914301312884693308553\ 5875*c_1010_9^3 - 49066918019406054009228483896/4718286026257693866\ 17107175*c_1010_9^2 - 46610742390366927028796822533/235914301312884\ 6933085535875*c_1010_9 - 38162583830702444724607596796/235914301312\ 8846933085535875, c_0011_8 + 19282202969239782648888612/2359143013128846933085535875*c_10\ 10_9^13 + 26719205149274307682860496/94365720525153877323421435*c_1\ 010_9^12 + 6764600420398985368198951509/235914301312884693308553587\ 5*c_1010_9^11 + 33129511981695819723470591454/235914301312884693308\ 5535875*c_1010_9^10 + 838833511202999480425290396/18873144105030775\ 464684287*c_1010_9^9 + 250231061492572166913438800163/2359143013128\ 846933085535875*c_1010_9^8 + 484001785471558974747584923877/2359143\ 013128846933085535875*c_1010_9^7 + 144511852791394960383040926399/471828602625769386617107175*c_1010_9\ ^6 + 724100276638644343108073077882/2359143013128846933085535875*c_\ 1010_9^5 + 481800224855090753368840395479/2359143013128846933085535\ 875*c_1010_9^4 + 282182851821120537453400782383/2359143013128846933\ 085535875*c_1010_9^3 + 28135809154899239794740066619/47182860262576\ 9386617107175*c_1010_9^2 + 31574717488956150401284741127/2359143013\ 128846933085535875*c_1010_9 + 20386634446491396207666427274/2359143\ 013128846933085535875, c_0101_1 - 57819569461666111260808252/2359143013128846933085535875*c_10\ 10_9^13 - 356114420252149598639024204/471828602625769386617107175*c\ _1010_9^12 - 13871172012864599600375997859/235914301312884693308553\ 5875*c_1010_9^11 - 58641773869483269418127516669/235914301312884693\ 3085535875*c_1010_9^10 - 1366129036518978630836665378/1887314410503\ 0775464684287*c_1010_9^9 - 388175578068519265766011609898/235914301\ 3128846933085535875*c_1010_9^8 - 712307456039423464935329014572/235\ 9143013128846933085535875*c_1010_9^7 - 196066190836164783451190459584/471828602625769386617107175*c_1010_9\ ^6 - 926253631270801368152006445897/2359143013128846933085535875*c_\ 1010_9^5 - 615038614074530133728646862404/2359143013128846933085535\ 875*c_1010_9^4 - 337708301895665374686596365978/2359143013128846933\ 085535875*c_1010_9^3 - 28936176027164046187107840907/47182860262576\ 9386617107175*c_1010_9^2 - 37803714667943810053577109932/2359143013\ 128846933085535875*c_1010_9 - 15078366045407893851996663564/2359143\ 013128846933085535875, c_0101_10 + 82017902324379032388021024/2359143013128846933085535875*c_1\ 010_9^13 + 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