Magma V2.19-8 Tue Aug 20 2013 23:40:01 on localhost [Seed = 3684548470] Type ? for help. Type -D to quit. Loading file "K14n26185__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n26185 geometric_solution 10.30789917 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -17 0 0 17 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.225350676396 0.835549304342 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 -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 17 -17 17 0 -18 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 0.771607747978 1.468561769164 8 0 9 9 0132 0132 0213 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 -1 1 0 0 0 0 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 0.286694672125 0.959997150202 8 10 5 0 3120 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015231760133 0.608716754869 6 10 0 8 3012 0213 0132 3012 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 1 -1 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478456250069 1.817105865577 8 1 3 7 1023 0132 3120 0132 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 0 0 0 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284121715860 0.535820449430 9 10 1 4 0213 2310 0132 1230 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 0 0 0 0 17 -17 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 0.732958094452 0.674135670855 10 9 5 1 0213 0321 0132 0132 0 0 0 0 0 0 -1 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 18 -17 -18 0 0 18 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286694672125 0.959997150202 2 5 4 3 0132 1023 1230 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.621188687338 0.963426066872 6 2 2 7 0213 0213 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 0 1 0 0 0 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 0.498675766912 0.671139407491 7 3 4 6 0213 0132 0213 3201 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 0 0 0 0 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507906046939 1.282186715160 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0011_4'], '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' : 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_1001_1'], 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_1001_1'], 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_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' : 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' : negation(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_4'], 'c_0011_7' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_1']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} 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_10, c_0011_4, c_0011_6, c_0011_9, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3711654/951587*c_1001_3^5 + 233139217/951587*c_1001_3^4 + 343660750/135941*c_1001_3^3 + 609373914/73199*c_1001_3^2 - 2881182819/951587*c_1001_3 - 2431800159/135941, c_0011_0 - 1, c_0011_10 - 1810/73199*c_1001_3^5 - 15453/73199*c_1001_3^4 - 45131/73199*c_1001_3^3 + 40560/73199*c_1001_3^2 + 10216/10457*c_1001_3 - 7536/73199, c_0011_4 + 94/73199*c_1001_3^5 + 479/73199*c_1001_3^4 + 2910/73199*c_1001_3^3 + 10026/73199*c_1001_3^2 - 519/10457*c_1001_3 + 24818/73199, c_0011_6 + 1625/73199*c_1001_3^5 + 15289/73199*c_1001_3^4 + 47191/73199*c_1001_3^3 + 2005/73199*c_1001_3^2 - 5301/10457*c_1001_3 - 8602/73199, c_0011_9 + 1713/73199*c_1001_3^5 + 14180/73199*c_1001_3^4 + 34341/73199*c_1001_3^3 - 40004/73199*c_1001_3^2 - 3117/10457*c_1001_3 + 22419/73199, c_0101_1 - 1628/73199*c_1001_3^5 - 16083/73199*c_1001_3^4 - 55071/73199*c_1001_3^3 + 8577/73199*c_1001_3^2 + 11881/10457*c_1001_3 - 24896/73199, c_0101_3 - 26/10457*c_1001_3^5 + 90/10457*c_1001_3^4 + 1420/10457*c_1001_3^3 + 4569/10457*c_1001_3^2 - 1665/10457*c_1001_3 + 2480/10457, c_0101_5 - 188/73199*c_1001_3^5 - 958/73199*c_1001_3^4 - 5820/73199*c_1001_3^3 - 20052/73199*c_1001_3^2 - 9419/10457*c_1001_3 + 23563/73199, c_1001_0 + 88/73199*c_1001_3^5 - 1109/73199*c_1001_3^4 - 12850/73199*c_1001_3^3 - 42009/73199*c_1001_3^2 + 2184/10457*c_1001_3 + 31021/73199, c_1001_1 - 94/73199*c_1001_3^5 - 479/73199*c_1001_3^4 - 2910/73199*c_1001_3^3 - 10026/73199*c_1001_3^2 + 519/10457*c_1001_3 - 24818/73199, c_1001_3^6 + 9*c_1001_3^5 + 26*c_1001_3^4 - 21*c_1001_3^3 - 53*c_1001_3^2 + 22*c_1001_3 - 13 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0011_9, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1942079368318284962703539/43329503537095095224*c_1001_3^13 + 38722671108974773817116911/43329503537095095224*c_1001_3^12 - 14992847076565873941919548/5416187942136886903*c_1001_3^11 + 221852156578797046764198553/173318014148380380896*c_1001_3^10 + 99529194514811206688918621/43329503537095095224*c_1001_3^9 + 469541885673572074282924821/173318014148380380896*c_1001_3^8 + 435926614646580813033261229/86659007074190190448*c_1001_3^7 + 465057363923926696615936151/173318014148380380896*c_1001_3^6 + 226397808503920113707533895/173318014148380380896*c_1001_3^5 + 57808551501030752736666405/86659007074190190448*c_1001_3^4 - 149962500193439933884235413/173318014148380380896*c_1001_3^3 + 8922561193310617622442553/86659007074190190448*c_1001_3^2 - 5501759888084082651272699/86659007074190190448*c_1001_3 + 3193732249483883342627041/173318014148380380896, c_0011_0 - 1, c_0011_10 + 29112497236660734155/5416187942136886903*c_1001_3^13 - 571295426161296782537/5416187942136886903*c_1001_3^12 + 1619446037557531315456/5416187942136886903*c_1001_3^11 - 1402743852084210461809/21664751768547547612*c_1001_3^10 - 3000209591863472594831/10832375884273773806*c_1001_3^9 - 9261680177811392015335/21664751768547547612*c_1001_3^8 - 8098075919193175395737/10832375884273773806*c_1001_3^7 - 12279359649461042343223/21664751768547547612*c_1001_3^6 - 7758449511254938899145/21664751768547547612*c_1001_3^5 - 2146201365671938284609/10832375884273773806*c_1001_3^4 + 784538122273632028901/21664751768547547612*c_1001_3^3 - 35722088311437491940/5416187942136886903*c_1001_3^2 + 48030955069737624744/5416187942136886903*c_1001_3 - 79207125287223928271/21664751768547547612, c_0011_4 - 30909582396903016184/5416187942136886903*c_1001_3^13 + 607763330588470508736/5416187942136886903*c_1001_3^12 - 1742126606552188067848/5416187942136886903*c_1001_3^11 + 421915664844110830002/5416187942136886903*c_1001_3^10 + 1626953126787656853254/5416187942136886903*c_1001_3^9 + 2391183539691391690858/5416187942136886903*c_1001_3^8 + 4140695760100443438864/5416187942136886903*c_1001_3^7 + 3031962911359349492895/5416187942136886903*c_1001_3^6 + 1824815226371185898487/5416187942136886903*c_1001_3^5 + 974922544771951577447/5416187942136886903*c_1001_3^4 - 287598032169887989031/5416187942136886903*c_1001_3^3 + 17925442293175718340/5416187942136886903*c_1001_3^2 - 48663271984503938526/5416187942136886903*c_1001_3 + 20835935149893704278/5416187942136886903, c_0011_6 - 1010141271372167782/5416187942136886903*c_1001_3^13 + 21687713979718333460/5416187942136886903*c_1001_3^12 - 92306411295121083216/5416187942136886903*c_1001_3^11 + 212692998141923432913/10832375884273773806*c_1001_3^10 + 116190176606824697347/10832375884273773806*c_1001_3^9 - 24316961839155178786/5416187942136886903*c_1001_3^8 - 38815153440580673237/5416187942136886903*c_1001_3^7 - 366194911609653649031/10832375884273773806*c_1001_3^6 - 182903661026655105327/5416187942136886903*c_1001_3^5 - 117400105201563081760/5416187942136886903*c_1001_3^4 - 187127572973323268309/10832375884273773806*c_1001_3^3 + 17169204327595246321/10832375884273773806*c_1001_3^2 + 5632924002895762463/10832375884273773806*c_1001_3 + 3553347076141981435/5416187942136886903, c_0011_9 - 5410776096995470486/5416187942136886903*c_1001_3^13 + 106113185518978377240/5416187942136886903*c_1001_3^12 - 299124021085575513520/5416187942136886903*c_1001_3^11 + 100593097140058346297/10832375884273773806*c_1001_3^10 + 629030708144680363141/10832375884273773806*c_1001_3^9 + 419301866547024289711/5416187942136886903*c_1001_3^8 + 721109359341076858153/5416187942136886903*c_1001_3^7 + 1096595118416066691361/10832375884273773806*c_1001_3^6 + 318059860385667136863/5416187942136886903*c_1001_3^5 + 183274427813421138393/5416187942136886903*c_1001_3^4 - 64805134286220273013/10832375884273773806*c_1001_3^3 + 13767077727120109369/10832375884273773806*c_1001_3^2 + 193998227192704005/10832375884273773806*c_1001_3 + 3266030414998006047/5416187942136886903, c_0101_1 - 10340281428379095191/5416187942136886903*c_1001_3^13 + 203409038196185092681/5416187942136886903*c_1001_3^12 - 584526090791546205176/5416187942136886903*c_1001_3^11 + 578647995135698639493/21664751768547547612*c_1001_3^10 + 1097145552144359272033/10832375884273773806*c_1001_3^9 + 3164349158643788256231/21664751768547547612*c_1001_3^8 + 2754974739487089220867/10832375884273773806*c_1001_3^7 + 3950724036181772963415/21664751768547547612*c_1001_3^6 + 2418773691857076479805/21664751768547547612*c_1001_3^5 + 643343717383327636451/10832375884273773806*c_1001_3^4 - 409143983108144151389/21664751768547547612*c_1001_3^3 + 11620586735596606888/5416187942136886903*c_1001_3^2 - 16046163352108255251/5416187942136886903*c_1001_3 + 30581282443527220871/21664751768547547612, c_0101_3 - 14779017578627800651/5416187942136886903*c_1001_3^13 + 289763321288661041973/5416187942136886903*c_1001_3^12 - 816761343862612752316/5416187942136886903*c_1001_3^11 + 629733479759295737393/21664751768547547612*c_1001_3^10 + 1560359355926017487829/10832375884273773806*c_1001_3^9 + 4775822552979085111991/21664751768547547612*c_1001_3^8 + 4110780246734858311311/10832375884273773806*c_1001_3^7 + 6205738365983692024899/21664751768547547612*c_1001_3^6 + 3861093634714044941201/21664751768547547612*c_1001_3^5 + 1045198836446589952205/10832375884273773806*c_1001_3^4 - 437401212269017923737/21664751768547547612*c_1001_3^3 + 11059607569128161378/5416187942136886903*c_1001_3^2 - 23439622512677907105/5416187942136886903*c_1001_3 + 42661820821147483515/21664751768547547612, c_0101_5 + c_1001_3, c_1001_0 + 2621270976116026954/5416187942136886903*c_1001_3^13 - 51743581198921161796/5416187942136886903*c_1001_3^12 + 152009742457335730156/5416187942136886903*c_1001_3^11 - 105042332058568611303/10832375884273773806*c_1001_3^10 - 250936618633486661001/10832375884273773806*c_1001_3^9 - 176175872246205243517/5416187942136886903*c_1001_3^8 - 359094130281981976096/5416187942136886903*c_1001_3^7 - 539315839912225547289/10832375884273773806*c_1001_3^6 - 195221563151696628384/5416187942136886903*c_1001_3^5 - 131234073332068490730/5416187942136886903*c_1001_3^4 - 11092463688403004411/10832375884273773806*c_1001_3^3 - 35795174946634223887/10832375884273773806*c_1001_3^2 + 6253625115746951459/10832375884273773806*c_1001_3 + 1476722178847147060/5416187942136886903, c_1001_1 - 13549323584486749360/5416187942136886903*c_1001_3^13 + 267161972683025087112/5416187942136886903*c_1001_3^12 - 778485352886099104016/5416187942136886903*c_1001_3^11 + 229727325008914717348/5416187942136886903*c_1001_3^10 + 694430518217879974774/5416187942136886903*c_1001_3^9 + 1013803427573722880102/5416187942136886903*c_1001_3^8 + 1763059782537398670628/5416187942136886903*c_1001_3^7 + 1235961259317698325266/5416187942136886903*c_1001_3^6 + 742360465442596594586/5416187942136886903*c_1001_3^5 + 393449120491025024297/5416187942136886903*c_1001_3^4 - 145167922836533557851/5416187942136886903*c_1001_3^3 + 14909436700611090307/5416187942136886903*c_1001_3^2 - 26233079003429180908/5416187942136886903*c_1001_3 + 10085872191950465221/5416187942136886903, c_1001_3^14 - 20*c_1001_3^13 + 63*c_1001_3^12 - 131/4*c_1001_3^11 - 191/4*c_1001_3^10 - 239/4*c_1001_3^9 - 433/4*c_1001_3^8 - 211/4*c_1001_3^7 - 53/2*c_1001_3^6 - 47/4*c_1001_3^5 + 81/4*c_1001_3^4 - 15/4*c_1001_3^3 + 2*c_1001_3^2 - 5/4*c_1001_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.480 seconds, Total memory usage: 32.09MB