Magma V2.19-8 Tue Aug 20 2013 23:39:07 on localhost [Seed = 627261775] Type ? for help. Type -D to quit. Loading file "K13a3113__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13a3113 geometric_solution 9.33862384 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 0 0 1 1 1302 2031 0132 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 0 1 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565869540340 0.143366578604 2 0 3 0 0132 2310 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 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 0.740616951862 0.555858489131 1 4 5 4 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741396723721 1.076359752805 6 5 7 1 0132 1023 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 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 0.141566664065 0.544936715284 8 2 9 2 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741396723721 1.076359752805 3 10 10 2 1023 0132 0321 0132 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 16 -15 -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 0.649143727560 1.219328390673 3 8 8 9 0132 1302 0321 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245557069660 1.785737587474 9 10 8 3 1302 3012 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 -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 1.858727790490 0.721818209475 4 7 6 6 0132 3201 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449106557728 0.939950285350 6 7 10 4 3201 2031 1230 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 -1 1 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 0.083160994487 0.589222128808 7 5 5 9 1230 0132 0321 3012 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 -16 15 1 0 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 0.649143727560 1.219328390673 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0011_9'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_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_0011_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : negation(d['c_0011_1']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_1001_10'], 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0101_4'], '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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['c_0011_1']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_1'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_10' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_4, c_0110_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t - 47872821378177745451938769/314068127858550*c_1001_10^31 - 106213511870497068178340432/157034063929275*c_1001_10^30 - 193837413361563611641118681/314068127858550*c_1001_10^29 + 55491557687885953623269689/62813625571710*c_1001_10^28 + 1347293885027366794738607458/157034063929275*c_1001_10^27 + 4564828286711338154640730237/314068127858550*c_1001_10^26 - 7971754881306920165835328057/314068127858550*c_1001_10^25 - 10939546914095479753147589836/157034063929275*c_1001_10^24 - 147117990793266734949972599/62813625571710*c_1001_10^23 + 23322441035799923014200574481/314068127858550*c_1001_10^22 + 1705282587723901321076433254/6281362557171*c_1001_10^21 + 32851739029360466574462584077/104689375952850*c_1001_10^20 - 317237203687660648461469828093/314068127858550*c_1001_10^19 - 79188696275428681508023920332/52344687976425*c_1001_10^18 + 676633844185632411652346716913/314068127858550*c_1001_10^17 + 1025421827535490144714311314101/314068127858550*c_1001_10^16 - 14767103976183761925760670021/4831817351670*c_1001_10^15 - 1361995919862991385691263250677/314068127858550*c_1001_10^14 + 20214281458260978008268687757/6827567996925*c_1001_10^13 + 52253601006037491048056890201/13655135993850*c_1001_10^12 - 617912302139590819294616334637/314068127858550*c_1001_10^11 - 120671657197502439821242563596/52344687976425*c_1001_10^10 + 21549673198477409678218824341/24159086758350*c_1001_10^9 + 298856806920291480267560160383/314068127858550*c_1001_10^8 - 28310432556883663296748280969/104689375952850*c_1001_10^7 - 3076053280222442288542447331/11632152883650*c_1001_10^6 + 1643838872205920289466009123/31406812785855*c_1001_10^5 + 4944988806056138904783239737/104689375952850*c_1001_10^4 - 917058758839204050269326324/157034063929275*c_1001_10^3 - 768163192368093315620812382/157034063929275*c_1001_10^2 + 29893190425877869808964793/104689375952850*c_1001_10 + 70040493327119251851912977/314068127858550, c_0011_0 - 1, c_0011_1 - 21*c_1001_10^31 - 104*c_1001_10^30 - 123*c_1001_10^29 + 123*c_1001_10^28 + 1288*c_1001_10^27 + 2556*c_1001_10^26 - 3032*c_1001_10^25 - 12388*c_1001_10^24 - 3658*c_1001_10^23 + 14728*c_1001_10^22 + 43086*c_1001_10^21 + 57694*c_1001_10^20 - 134934*c_1001_10^19 - 301868*c_1001_10^18 + 254472*c_1001_10^17 + 705656*c_1001_10^16 - 325249*c_1001_10^15 - 1035180*c_1001_10^14 + 289721*c_1001_10^13 + 1028985*c_1001_10^12 - 180406*c_1001_10^11 - 712168*c_1001_10^10 + 77784*c_1001_10^9 + 345268*c_1001_10^8 - 22665*c_1001_10^7 - 115864*c_1001_10^6 + 4247*c_1001_10^5 + 25935*c_1001_10^4 - 461*c_1001_10^3 - 3542*c_1001_10^2 + 22*c_1001_10 + 227, c_0011_10 + 6215761*c_1001_10^31 + 28301615*c_1001_10^30 + 27980337*c_1001_10^29 - 34676578*c_1001_10^28 - 355076584*c_1001_10^27 - 630798648*c_1001_10^26 + 986945186*c_1001_10^25 + 2990241214*c_1001_10^24 + 352359928*c_1001_10^23 - 3163860662*c_1001_10^22 - 11380930178*c_1001_10^21 - 13921006078*c_1001_10^20 + 40331716234*c_1001_10^19 + 67047750456*c_1001_10^18 - 83390979315*c_1001_10^17 - 146115452176*c_1001_10^16 + 115399756716*c_1001_10^15 + 197014108862*c_1001_10^14 - 109546703066*c_1001_10^13 - 177050110178*c_1001_10^12 + 71548551466*c_1001_10^11 + 108844556768*c_1001_10^10 - 31934662699*c_1001_10^9 - 45911331154*c_1001_10^8 + 9537422366*c_1001_10^7 + 13053817514*c_1001_10^6 - 1818493323*c_1001_10^5 - 2388332812*c_1001_10^4 + 199809247*c_1001_10^3 + 253654931*c_1001_10^2 - 9615829*c_1001_10 - 11874292, c_0011_7 + 206*c_1001_10^31 + 844*c_1001_10^30 + 511*c_1001_10^29 - 1531*c_1001_10^28 - 11241*c_1001_10^27 - 15646*c_1001_10^26 + 41652*c_1001_10^25 + 83640*c_1001_10^24 - 30654*c_1001_10^23 - 106532*c_1001_10^22 - 333700*c_1001_10^21 - 295204*c_1001_10^20 + 1531292*c_1001_10^19 + 1606312*c_1001_10^18 - 3680154*c_1001_10^17 - 3532208*c_1001_10^16 + 5771810*c_1001_10^15 + 4674674*c_1001_10^14 - 6166305*c_1001_10^13 - 4076081*c_1001_10^12 + 4545377*c_1001_10^11 + 2421158*c_1001_10^10 - 2312552*c_1001_10^9 - 986370*c_1001_10^8 + 799862*c_1001_10^7 + 271298*c_1001_10^6 - 180451*c_1001_10^5 - 48137*c_1001_10^4 + 24095*c_1001_10^3 + 4972*c_1001_10^2 - 1452*c_1001_10 - 227, c_0011_9 - 1057885*c_1001_10^31 - 4872774*c_1001_10^30 - 4964279*c_1001_10^29 + 5871031*c_1001_10^28 + 60912648*c_1001_10^27 + 110250430*c_1001_10^26 - 165143685*c_1001_10^25 - 522185771*c_1001_10^24 - 77534413*c_1001_10^23 + 556223480*c_1001_10^22 + 1962398960*c_1001_10^21 + 2450802850*c_1001_10^20 - 6826838264*c_1001_10^19 - 11864862964*c_1001_10^18 + 13944856315*c_1001_10^17 + 26035264429*c_1001_10^16 - 19119980372*c_1001_10^15 - 35417809192*c_1001_10^14 + 18033309654*c_1001_10^13 + 32158119292*c_1001_10^12 - 11729267826*c_1001_10^11 - 19992427758*c_1001_10^10 + 5222284573*c_1001_10^9 + 8533201571*c_1001_10^8 - 1557652574*c_1001_10^7 - 2456199076*c_1001_10^6 + 296857397*c_1001_10^5 + 455100525*c_1001_10^4 - 32620903*c_1001_10^3 - 48960772*c_1001_10^2 + 1570676*c_1001_10 + 2321997, c_0101_1 + 206*c_1001_10^31 + 1010*c_1001_10^30 + 1175*c_1001_10^29 - 1182*c_1001_10^28 - 12501*c_1001_10^27 - 24575*c_1001_10^26 + 29900*c_1001_10^25 + 118248*c_1001_10^24 + 33220*c_1001_10^23 - 137144*c_1001_10^22 - 415750*c_1001_10^21 - 556124*c_1001_10^20 + 1317762*c_1001_10^19 + 2857922*c_1001_10^18 - 2510782*c_1001_10^17 - 6599688*c_1001_10^16 + 3241514*c_1001_10^15 + 9546306*c_1001_10^14 - 2913413*c_1001_10^13 - 9324562*c_1001_10^12 + 1827567*c_1001_10^11 + 6311595*c_1001_10^10 - 792558*c_1001_10^9 - 2972440*c_1001_10^8 + 231974*c_1001_10^7 + 959122*c_1001_10^6 - 43617*c_1001_10^5 - 203094*c_1001_10^4 + 4747*c_1001_10^3 + 25547*c_1001_10^2 - 227*c_1001_10 - 1452, c_0101_10 + 14742157*c_1001_10^31 + 66889914*c_1001_10^30 + 65525742*c_1001_10^29 - 82330262*c_1001_10^28 - 840090892*c_1001_10^27 - 1484037102*c_1001_10^26 + 2352091174*c_1001_10^25 + 7035631978*c_1001_10^24 + 763463758*c_1001_10^23 - 7425258788*c_1001_10^22 - 26884894962*c_1001_10^21 - 32680065160*c_1001_10^20 + 95795850332*c_1001_10^19 + 157099919138*c_1001_10^18 - 198765714897*c_1001_10^17 - 341565667355*c_1001_10^16 + 275777022966*c_1001_10^15 + 459161726824*c_1001_10^14 - 262250068466*c_1001_10^13 - 411170254042*c_1001_10^12 + 171465994366*c_1001_10^11 + 251775290064*c_1001_10^10 - 76573431901*c_1001_10^9 - 105745256045*c_1001_10^8 + 22873263154*c_1001_10^7 + 29928086402*c_1001_10^6 - 4360927853*c_1001_10^5 - 5448891217*c_1001_10^4 + 479041345*c_1001_10^3 + 575712860*c_1001_10^2 - 23044956*c_1001_10 - 26804365, c_0101_3 + 4482715*c_1001_10^31 + 20492613*c_1001_10^30 + 20557484*c_1001_10^29 - 24588924*c_1001_10^28 - 256390734*c_1001_10^27 - 459502756*c_1001_10^26 + 703043532*c_1001_10^25 + 2167541406*c_1001_10^24 + 291697338*c_1001_10^23 - 2270998192*c_1001_10^22 - 8237486418*c_1001_10^21 - 10189115102*c_1001_10^20 + 28883803778*c_1001_10^19 + 48826598586*c_1001_10^18 - 59283671059*c_1001_10^17 - 106268715858*c_1001_10^16 + 81490339514*c_1001_10^15 + 143196681384*c_1001_10^14 - 76842243248*c_1001_10^13 - 128607022692*c_1001_10^12 + 49839541768*c_1001_10^11 + 78993972798*c_1001_10^10 - 22079043403*c_1001_10^9 - 33277966144*c_1001_10^8 + 6540276936*c_1001_10^7 + 9445678246*c_1001_10^6 - 1235909661*c_1001_10^5 - 1724470962*c_1001_10^4 + 134477217*c_1001_10^3 + 182677981*c_1001_10^2 - 6403677*c_1001_10 - 8526396, c_0101_4 + 28361*c_1001_10^31 + 135222*c_1001_10^30 + 149190*c_1001_10^29 - 157630*c_1001_10^28 - 1676982*c_1001_10^27 - 3191164*c_1001_10^26 + 4226351*c_1001_10^25 + 15166949*c_1001_10^24 + 3486739*c_1001_10^23 - 16721742*c_1001_10^22 - 54938287*c_1001_10^21 - 72033445*c_1001_10^20 + 181038872*c_1001_10^19 + 357335036*c_1001_10^18 - 355780316*c_1001_10^17 - 803355754*c_1001_10^16 + 472499157*c_1001_10^15 + 1126109312*c_1001_10^14 - 434876908*c_1001_10^13 - 1059087068*c_1001_10^12 + 277908192*c_1001_10^11 + 685067776*c_1001_10^10 - 122218713*c_1001_10^9 - 305512287*c_1001_10^8 + 36146174*c_1001_10^7 + 92273558*c_1001_10^6 - 6848987*c_1001_10^5 - 18019317*c_1001_10^4 + 749687*c_1001_10^3 + 2052342*c_1001_10^2 - 36004*c_1001_10 - 103499, c_0110_0 + c_1001_10^31 + 5*c_1001_10^30 + 6*c_1001_10^29 - 6*c_1001_10^28 - 62*c_1001_10^27 - 124*c_1001_10^26 + 144*c_1001_10^25 + 606*c_1001_10^24 + 186*c_1001_10^23 - 740*c_1001_10^22 - 2086*c_1001_10^21 - 2786*c_1001_10^20 + 6466*c_1001_10^19 + 14874*c_1001_10^18 - 12084*c_1001_10^17 - 35228*c_1001_10^16 + 15303*c_1001_10^15 + 52461*c_1001_10^14 - 13516*c_1001_10^13 - 53150*c_1001_10^12 + 8356*c_1001_10^11 + 37720*c_1001_10^10 - 3582*c_1001_10^9 - 18928*c_1001_10^8 + 1039*c_1001_10^7 + 6679*c_1001_10^6 - 194*c_1001_10^5 - 1620*c_1001_10^4 + 21*c_1001_10^3 + 257*c_1001_10^2 - c_1001_10 - 22, c_1001_10^32 + 4*c_1001_10^31 + 2*c_1001_10^30 - 8*c_1001_10^29 - 54*c_1001_10^28 - 70*c_1001_10^27 + 214*c_1001_10^26 + 392*c_1001_10^25 - 206*c_1001_10^24 - 534*c_1001_10^23 - 1552*c_1001_10^22 - 1234*c_1001_10^21 + 7700*c_1001_10^20 + 7174*c_1001_10^19 - 19258*c_1001_10^18 - 15970*c_1001_10^17 + 31273*c_1001_10^16 + 21188*c_1001_10^15 - 34704*c_1001_10^14 - 18446*c_1001_10^13 + 26802*c_1001_10^12 + 10918*c_1001_10^11 - 14500*c_1001_10^10 - 4428*c_1001_10^9 + 5467*c_1001_10^8 + 1212*c_1001_10^7 - 1406*c_1001_10^6 - 214*c_1001_10^5 + 235*c_1001_10^4 + 22*c_1001_10^3 - 23*c_1001_10^2 - c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB