Magma V2.19-8 Tue Aug 20 2013 23:44:04 on localhost [Seed = 2783166537] Type ? for help. Type -D to quit. Loading file "K13n1697__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1697 geometric_solution 10.75363711 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 1 0 0 -1 0 0 0 0 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.146016899637 0.911731307446 0 5 7 6 0132 0132 0132 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 -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 0.859802931611 0.926209418468 8 0 10 9 0132 0132 0132 0132 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 -7 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308467515977 0.482552158471 7 9 4 0 0132 2031 2103 0132 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 1 0 -1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363105321322 0.644258457280 3 5 0 9 2103 1023 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.146016899637 0.911731307446 4 1 10 11 1023 0132 3012 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 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 0.859802931611 0.926209418468 10 11 1 11 0321 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.198084252663 0.884316746830 3 8 10 1 0132 0213 0321 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 0.396158080065 0.473784828602 2 9 7 11 0132 0321 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.568615907581 0.349231168687 3 4 2 8 1302 0321 0132 0321 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 0 0 0 0 -1 0 0 1 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.653366528281 1.020333403397 6 5 7 2 0321 1230 0321 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301976844665 0.815284928101 8 6 5 6 3012 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.198084252663 0.884316746830 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0101_0']), '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_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_1100_9' : d['c_1001_7'], 'c_1100_8' : d['c_0110_11'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], '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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_11, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 441819460986515230826837487884/140951125736080982152299*c_1001_7^13 - 1237093719191495380393595509928/140951125736080982152299*c_1001_7\ ^12 + 637579242725428323324155774237/20135875105154426021757*c_1001\ _7^11 - 2774665869897787656492193536526/46983708578693660717433*c_1\ 001_7^10 + 16493212583563623743274980300303/14095112573608098215229\ 9*c_1001_7^9 - 18566577305616760109634430747801/1409511257360809821\ 52299*c_1001_7^8 + 692128507269824895416155977887/20135875105154426\ 021757*c_1001_7^7 + 5275922493523427383225361273501/140951125736080\ 982152299*c_1001_7^6 - 9326514795410417730190029126740/140951125736\ 080982152299*c_1001_7^5 + 13704579956140320754289523181099/14095112\ 5736080982152299*c_1001_7^4 - 8231542243943178107189442038308/14095\ 1125736080982152299*c_1001_7^3 + 323236905610205682306058358267/140\ 951125736080982152299*c_1001_7^2 + 399507517101392335556439435883/140951125736080982152299*c_1001_7 + 291766992590374719904192456139/140951125736080982152299, c_0011_0 - 1, c_0011_10 + 21439081890719039339/2939973004110735293*c_1001_7^13 - 71588261844168101840/2939973004110735293*c_1001_7^12 + 239798236794490661588/2939973004110735293*c_1001_7^11 - 502121959678865313257/2939973004110735293*c_1001_7^10 + 940362040280976438793/2939973004110735293*c_1001_7^9 - 1220275811641501282152/2939973004110735293*c_1001_7^8 + 467928819578875763806/2939973004110735293*c_1001_7^7 + 318061303807371313965/2939973004110735293*c_1001_7^6 - 540309710864971931185/2939973004110735293*c_1001_7^5 + 840863951012369848787/2939973004110735293*c_1001_7^4 - 620012253006566743598/2939973004110735293*c_1001_7^3 + 52720046139671100792/2939973004110735293*c_1001_7^2 + 42646442134698776460/2939973004110735293*c_1001_7 + 19191147687092048383/2939973004110735293, c_0011_11 - 57650178573681264441/2939973004110735293*c_1001_7^13 + 172816436555332628491/2939973004110735293*c_1001_7^12 - 601545125959325888077/2939973004110735293*c_1001_7^11 + 1177037278708438998889/2939973004110735293*c_1001_7^10 - 2260800570522300589950/2939973004110735293*c_1001_7^9 + 2704471397913539850142/2939973004110735293*c_1001_7^8 - 771057469577568920046/2939973004110735293*c_1001_7^7 - 787391320153555670398/2939973004110735293*c_1001_7^6 + 1272939179387345544342/2939973004110735293*c_1001_7^5 - 1944144780026164937953/2939973004110735293*c_1001_7^4 + 1241689543055837619891/2939973004110735293*c_1001_7^3 - 34900461014209983338/2939973004110735293*c_1001_7^2 - 67430699546916646865/2939973004110735293*c_1001_7 - 49323548056475466898/2939973004110735293, c_0011_3 + 70072468137981881/16424430190562767*c_1001_7^13 - 191326364930603103/16424430190562767*c_1001_7^12 + 695748489153149929/16424430190562767*c_1001_7^11 - 1273427229707716751/16424430190562767*c_1001_7^10 + 2534476788885865685/16424430190562767*c_1001_7^9 - 2773043918790767612/16424430190562767*c_1001_7^8 + 586514905532316247/16424430190562767*c_1001_7^7 + 894699220215457292/16424430190562767*c_1001_7^6 - 1481336509874969700/16424430190562767*c_1001_7^5 + 2109301670726390714/16424430190562767*c_1001_7^4 - 1161484431403221556/16424430190562767*c_1001_7^3 - 31072127425319011/16424430190562767*c_1001_7^2 + 87604196429245984/16424430190562767*c_1001_7 + 35163219501210412/16424430190562767, c_0011_9 + 14227885344208862989/2939973004110735293*c_1001_7^13 - 51383442682111468351/2939973004110735293*c_1001_7^12 + 165665345728264581442/2939973004110735293*c_1001_7^11 - 363735946391676900801/2939973004110735293*c_1001_7^10 + 660762583695983141342/2939973004110735293*c_1001_7^9 - 902799071236615957343/2939973004110735293*c_1001_7^8 + 356967769368882681139/2939973004110735293*c_1001_7^7 + 253139460547873156837/2939973004110735293*c_1001_7^6 - 373021874032328530966/2939973004110735293*c_1001_7^5 + 609257948654773822866/2939973004110735293*c_1001_7^4 - 465294287824346613266/2939973004110735293*c_1001_7^3 + 24312939001280996568/2939973004110735293*c_1001_7^2 + 31718612953386258935/2939973004110735293*c_1001_7 + 19512425191771866387/2939973004110735293, c_0101_0 + 24279645701699989302/2939973004110735293*c_1001_7^13 - 59773495557526583264/2939973004110735293*c_1001_7^12 + 228038736191854906051/2939973004110735293*c_1001_7^11 - 388021275944725374917/2939973004110735293*c_1001_7^10 + 802766296312877477171/2939973004110735293*c_1001_7^9 - 797948529796575219132/2939973004110735293*c_1001_7^8 + 90680327868892175796/2939973004110735293*c_1001_7^7 + 220964819545943095139/2939973004110735293*c_1001_7^6 - 445642660562174167341/2939973004110735293*c_1001_7^5 + 636264144876704869840/2939973004110735293*c_1001_7^4 - 284166646983339427073/2939973004110735293*c_1001_7^3 + 1530802340050182242/2939973004110735293*c_1001_7^2 - 3599549830197444907/2939973004110735293*c_1001_7 + 6362049821805281668/2939973004110735293, c_0101_1 - 28863779997158847/16424430190562767*c_1001_7^13 + 99069818628091289/16424430190562767*c_1001_7^12 - 335077271123740675/16424430190562767*c_1001_7^11 + 713663678765194776/16424430190562767*c_1001_7^10 - 1359173656576185900/16424430190562767*c_1001_7^9 + 1810349806831378413/16424430190562767*c_1001_7^8 - 889281880550619691/16424430190562767*c_1001_7^7 - 266939287098132072/16424430190562767*c_1001_7^6 + 752821427736384493/16424430190562767*c_1001_7^5 - 1211836381826214474/16424430190562767*c_1001_7^4 + 1012455213979090725/16424430190562767*c_1001_7^3 - 226001227699956436/16424430190562767*c_1001_7^2 - 6676632790825515/16424430190562767*c_1001_7 - 24283174169632885/16424430190562767, c_0101_11 - 24279645701699989302/2939973004110735293*c_1001_7^13 + 59773495557526583264/2939973004110735293*c_1001_7^12 - 228038736191854906051/2939973004110735293*c_1001_7^11 + 388021275944725374917/2939973004110735293*c_1001_7^10 - 802766296312877477171/2939973004110735293*c_1001_7^9 + 797948529796575219132/2939973004110735293*c_1001_7^8 - 90680327868892175796/2939973004110735293*c_1001_7^7 - 220964819545943095139/2939973004110735293*c_1001_7^6 + 445642660562174167341/2939973004110735293*c_1001_7^5 - 636264144876704869840/2939973004110735293*c_1001_7^4 + 284166646983339427073/2939973004110735293*c_1001_7^3 - 1530802340050182242/2939973004110735293*c_1001_7^2 + 3599549830197444907/2939973004110735293*c_1001_7 - 6362049821805281668/2939973004110735293, c_0101_5 + 28863779997158847/16424430190562767*c_1001_7^13 - 99069818628091289/16424430190562767*c_1001_7^12 + 335077271123740675/16424430190562767*c_1001_7^11 - 713663678765194776/16424430190562767*c_1001_7^10 + 1359173656576185900/16424430190562767*c_1001_7^9 - 1810349806831378413/16424430190562767*c_1001_7^8 + 889281880550619691/16424430190562767*c_1001_7^7 + 266939287098132072/16424430190562767*c_1001_7^6 - 752821427736384493/16424430190562767*c_1001_7^5 + 1211836381826214474/16424430190562767*c_1001_7^4 - 1012455213979090725/16424430190562767*c_1001_7^3 + 226001227699956436/16424430190562767*c_1001_7^2 + 6676632790825515/16424430190562767*c_1001_7 + 24283174169632885/16424430190562767, c_0110_11 + 21439081890719039339/2939973004110735293*c_1001_7^13 - 71588261844168101840/2939973004110735293*c_1001_7^12 + 239798236794490661588/2939973004110735293*c_1001_7^11 - 502121959678865313257/2939973004110735293*c_1001_7^10 + 940362040280976438793/2939973004110735293*c_1001_7^9 - 1220275811641501282152/2939973004110735293*c_1001_7^8 + 467928819578875763806/2939973004110735293*c_1001_7^7 + 318061303807371313965/2939973004110735293*c_1001_7^6 - 540309710864971931185/2939973004110735293*c_1001_7^5 + 840863951012369848787/2939973004110735293*c_1001_7^4 - 620012253006566743598/2939973004110735293*c_1001_7^3 + 52720046139671100792/2939973004110735293*c_1001_7^2 + 42646442134698776460/2939973004110735293*c_1001_7 + 19191147687092048383/2939973004110735293, c_1001_10 + 39126649327713426466/2939973004110735293*c_1001_7^13 - 103031049974469993536/2939973004110735293*c_1001_7^12 + 378978960328721743539/2939973004110735293*c_1001_7^11 - 677342483139610124044/2939973004110735293*c_1001_7^10 + 1356960294379747323521/2939973004110735293*c_1001_7^9 - 1439982481728124987314/2939973004110735293*c_1001_7^8 + 220900266027025075308/2939973004110735293*c_1001_7^7 + 454173417008758651317/2939973004110735293*c_1001_7^6 - 760100936503698825208/2939973004110735293*c_1001_7^5 + 1108447976584523014288/2939973004110735293*c_1001_7^4 - 555216114669570403606/2939973004110735293*c_1001_7^3 - 27011620805272687381/2939973004110735293*c_1001_7^2 + 19712541506348071759/2939973004110735293*c_1001_7 + 17664486597953072116/2939973004110735293, c_1001_7^14 - 47/13*c_1001_7^13 + 161/13*c_1001_7^12 - 352/13*c_1001_7^11 + 685/13*c_1001_7^10 - 942/13*c_1001_7^9 + 588/13*c_1001_7^8 + 3*c_1001_7^7 - 401/13*c_1001_7^6 + 627/13*c_1001_7^5 - 571/13*c_1001_7^4 + 207/13*c_1001_7^3 + 4/13*c_1001_7^2 - 1/13*c_1001_7 - 7/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.930 Total time: 1.149 seconds, Total memory usage: 32.09MB