Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 206409963] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1833 geometric_solution 5.48672387 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -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 1 0 -1 -1 0 1 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 1.606793828802 0.566182445468 0 2 3 0 0132 0132 0132 3201 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 0 -1 1 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 0.690559176715 0.498225059359 4 1 5 3 0132 0132 0132 3201 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199917101399 0.791461093952 5 2 4 1 1023 2310 1023 0132 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 -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 0.199917101399 0.791461093952 2 4 3 4 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573248447218 0.941377693437 6 3 6 2 0132 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.180737586524 1.896322615089 5 5 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394489488831 0.124103099792 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 34608912876890273325537086/569521499277226106426767*c_0101_5^20 + 143534318141642045017212084/569521499277226106426767*c_0101_5^19 - 319563205756578436399276899/569521499277226106426767*c_0101_5^18 - 1613970238093818624516208729/569521499277226106426767*c_0101_5^17 + 313947227415472396921612873/569521499277226106426767*c_0101_5^16 + 4828953321603806193672775387/569521499277226106426767*c_0101_5^15 + 1450463351378883137821150587/569521499277226106426767*c_0101_5^14 - 986098006393635103503793796/81360214182460872346681*c_0101_5^13 - 822061323859089831642106264/81360214182460872346681*c_0101_5^12 + 10805350325425261289819012434/569521499277226106426767*c_0101_5^11 + 8426580579831911256624519561/569521499277226106426767*c_0101_5^10 - 13077504172678944621572247460/569521499277226106426767*c_0101_5^9 - 12055233206145994409437193264/569521499277226106426767*c_0101_5^8 + 13854145601831530649617911610/569521499277226106426767*c_0101_5^7 + 7862776578521329874214397162/569521499277226106426767*c_0101_5^6 - 8467468239058085810264310077/569521499277226106426767*c_0101_5^5 - 3211195342397930030123047563/569521499277226106426767*c_0101_5^4 + 2920805925231015282411866640/569521499277226106426767*c_0101_5^3 + 1524475123935933530927355444/569521499277226106426767*c_0101_5^2 - 494357352215712156540793040/569521499277226106426767*c_0101_5 - 208523736838815363451505567/569521499277226106426767, c_0011_0 - 1, c_0011_3 + 5581206008506549441549/11622887740351553192383*c_0101_5^20 + 22382412752267395765341/11622887740351553192383*c_0101_5^19 - 53564450007006324538645/11622887740351553192383*c_0101_5^18 - 247720971319545982185848/11622887740351553192383*c_0101_5^17 + 79987225045135275735997/11622887740351553192383*c_0101_5^16 + 717315169712485796619992/11622887740351553192383*c_0101_5^15 + 98972285757918441482124/11622887740351553192383*c_0101_5^14 - 1033797380920781349313091/11622887740351553192383*c_0101_5^13 - 677248913633056079105108/11622887740351553192383*c_0101_5^12 + 1764274815425014593940987/11622887740351553192383*c_0101_5^11 + 935675617178460143889781/11622887740351553192383*c_0101_5^10 - 2104523048400877141872490/11622887740351553192383*c_0101_5^9 - 1372821476369425573333104/11622887740351553192383*c_0101_5^8 + 2320446300628122884078969/11622887740351553192383*c_0101_5^7 + 635737776178106033644214/11622887740351553192383*c_0101_5^6 - 1359242007206486544470024/11622887740351553192383*c_0101_5^5 - 171281970105559142039006/11622887740351553192383*c_0101_5^4 + 409457128415462445769601/11622887740351553192383*c_0101_5^3 + 128210166471395878638319/11622887740351553192383*c_0101_5^2 - 98137223187445744454845/11622887740351553192383*c_0101_5 - 16763737704149692522888/11622887740351553192383, c_0101_0 - 2032166082852107835600/11622887740351553192383*c_0101_5^20 - 6189524639779135454578/11622887740351553192383*c_0101_5^19 + 28477761890827449539118/11622887740351553192383*c_0101_5^18 + 76733887663119586841163/11622887740351553192383*c_0101_5^17 - 122425395465961903260580/11622887740351553192383*c_0101_5^16 - 286790138558021061138260/11622887740351553192383*c_0101_5^15 + 188263077748052556753577/11622887740351553192383*c_0101_5^14 + 524766008316612061202378/11622887740351553192383*c_0101_5^13 - 8240825795221559729128/11622887740351553192383*c_0101_5^12 - 980548809946557548594519/11622887740351553192383*c_0101_5^11 + 72057459770609809269842/11622887740351553192383*c_0101_5^10 + 1254620476074718846875571/11622887740351553192383*c_0101_5^9 + 52350733787493815483258/11622887740351553192383*c_0101_5^8 - 1473123803691643483802731/11622887740351553192383*c_0101_5^7 + 233097297698911211644957/11622887740351553192383*c_0101_5^6 + 842481695522031595410171/11622887740351553192383*c_0101_5^5 - 219468478273033592634494/11622887740351553192383*c_0101_5^4 - 271128718582753867060332/11622887740351553192383*c_0101_5^3 + 35956164242746866043445/11622887740351553192383*c_0101_5^2 + 62213284545872761517404/11622887740351553192383*c_0101_5 + 218615169351616639539/11622887740351553192383, c_0101_1 + 30725466681590772655/11622887740351553192383*c_0101_5^20 + 425496997806873693488/11622887740351553192383*c_0101_5^19 + 1329615057113917451996/11622887740351553192383*c_0101_5^18 - 2242220693683847672109/11622887740351553192383*c_0101_5^17 - 15009110043655221221016/11622887740351553192383*c_0101_5^16 - 11413352520856975005321/11622887740351553192383*c_0101_5^15 + 26487216115399283581420/11622887740351553192383*c_0101_5^14 + 36463332097152935185813/11622887740351553192383*c_0101_5^13 - 16367926858506114357695/11622887740351553192383*c_0101_5^12 - 51603484761961094153600/11622887740351553192383*c_0101_5^11 + 23418182868276006550054/11622887740351553192383*c_0101_5^10 + 81784083445428702025524/11622887740351553192383*c_0101_5^9 - 13365594234541722959691/11622887740351553192383*c_0101_5^8 - 82434224340618027623035/11622887740351553192383*c_0101_5^7 + 11095732754569228277930/11622887740351553192383*c_0101_5^6 + 36729173559011782139366/11622887740351553192383*c_0101_5^5 - 15812532787184942241903/11622887740351553192383*c_0101_5^4 + 1953036492444758503166/11622887740351553192383*c_0101_5^3 + 7348753608723386130029/11622887740351553192383*c_0101_5^2 - 21073478618155053015670/11622887740351553192383*c_0101_5 + 71073023895531468374/11622887740351553192383, c_0101_2 + 3187002421220694836203/11622887740351553192383*c_0101_5^20 + 10243246723738854014060/11622887740351553192383*c_0101_5^19 - 42691071584576693390784/11622887740351553192383*c_0101_5^18 - 125947833685958445368863/11622887740351553192383*c_0101_5^17 + 171516132418689547557447/11622887740351553192383*c_0101_5^16 + 465750152944141368878669/11622887740351553192383*c_0101_5^15 - 242252305401553792682467/11622887740351553192383*c_0101_5^14 - 859748398252219213538206/11622887740351553192383*c_0101_5^13 - 81447643654655847806936/11622887740351553192383*c_0101_5^12 + 1557775463312352261035896/11622887740351553192383*c_0101_5^11 + 100654428032694540714442/11622887740351553192383*c_0101_5^10 - 2000502921781013531496459/11622887740351553192383*c_0101_5^9 - 348046626264543781660153/11622887740351553192383*c_0101_5^8 + 2334524712622084463120367/11622887740351553192383*c_0101_5^7 - 19313596432941778425303/11622887740351553192383*c_0101_5^6 - 1424154642388643219174603/11622887740351553192383*c_0101_5^5 + 126550195894433729319263/11622887740351553192383*c_0101_5^4 + 499550560390498180976388/11622887740351553192383*c_0101_5^3 + 46427013441066089734221/11622887740351553192383*c_0101_5^2 - 138925755470864770996050/11622887740351553192383*c_0101_5 - 20561881673874569835887/11622887740351553192383, c_0101_4 + 1602192932058806378580/11622887740351553192383*c_0101_5^20 + 5115390719654273532073/11622887740351553192383*c_0101_5^19 - 22787661414403682614388/11622887740351553192383*c_0101_5^18 - 68512878896178379132446/11622887740351553192383*c_0101_5^17 + 95488189616835960639679/11622887740351553192383*c_0101_5^16 + 290677058782930430975651/11622887740351553192383*c_0101_5^15 - 105807118326015994039145/11622887740351553192383*c_0101_5^14 - 565330223630689544256051/11622887740351553192383*c_0101_5^13 - 138932494752037300696463/11622887740351553192383*c_0101_5^12 + 920508822521181917047932/11622887740351553192383*c_0101_5^11 + 257074064835157520691094/11622887740351553192383*c_0101_5^10 - 1220173804719814008112266/11622887740351553192383*c_0101_5^9 - 461458376527808592171547/11622887740351553192383*c_0101_5^8 + 1396834583156585784293507/11622887740351553192383*c_0101_5^7 + 354202598594508618252874/11622887740351553192383*c_0101_5^6 - 925438741778609248884792/11622887740351553192383*c_0101_5^5 - 134620509156745967004082/11622887740351553192383*c_0101_5^4 + 369740749432206774337840/11622887740351553192383*c_0101_5^3 + 83638525643278964264658/11622887740351553192383*c_0101_5^2 - 82433936074946519326119/11622887740351553192383*c_0101_5 - 31334304292137055446630/11622887740351553192383, c_0101_5^21 + 4*c_0101_5^20 - 10*c_0101_5^19 - 46*c_0101_5^18 + 17*c_0101_5^17 + 146*c_0101_5^16 + 24*c_0101_5^15 - 226*c_0101_5^14 - 154*c_0101_5^13 + 359*c_0101_5^12 + 235*c_0101_5^11 - 443*c_0101_5^10 - 346*c_0101_5^9 + 483*c_0101_5^8 + 239*c_0101_5^7 - 304*c_0101_5^6 - 106*c_0101_5^5 + 111*c_0101_5^4 + 53*c_0101_5^3 - 23*c_0101_5^2 - 12*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB