Magma V2.19-8 Wed Aug 21 2013 00:02:55 on localhost [Seed = 1460747943] Type ? for help. Type -D to quit. Loading file "K13n1735__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1735 geometric_solution 12.09252200 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 -8 8 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276580536998 0.802417526097 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 -1 1 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411697531127 0.984433642662 8 0 10 9 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 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 0.577192105242 1.081510414654 11 5 7 0 0132 3201 3120 0132 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 -9 8 0 1 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402363540366 0.571776768826 5 8 0 10 0132 0132 0132 0132 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 -1 1 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753022876314 0.984061517583 4 1 3 9 0132 0132 2310 3120 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 1 -1 0 0 0 -9 9 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408675382293 1.102463089788 12 9 1 11 0132 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.101958313930 1.181027948070 9 12 3 1 3120 0132 3120 0132 0 0 0 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 0 0 0 0 0 -8 9 -1 -9 0 9 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 0.267485252006 0.601888290692 2 4 11 12 0132 0132 0213 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.490042514878 0.376907405753 5 6 2 7 3120 3120 0132 3120 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 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.211232676116 0.861642565236 12 11 4 2 3012 0213 0132 0132 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 8 0 -8 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 0.501825664693 0.498834331706 3 8 10 6 0132 0213 0213 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.503762650926 0.517854349157 6 7 8 10 0132 0132 1230 1230 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 8 0 -8 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 -0.104013331029 1.131479799248 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0101_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_10'], '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_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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0101_7']), '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_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_12']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_12']), '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'], 'c_1100_12' : d['c_0101_2'], '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' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], '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_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_10'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_12, c_0011_9, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 8515664502769313473/340507726859336850*c_1001_10^14 - 69546735773612548961/340507726859336850*c_1001_10^13 - 18512976853097018281/30955247896303350*c_1001_10^12 - 8845619806383750059/12611397291086550*c_1001_10^11 + 21270789847966895164/34050772685933685*c_1001_10^10 + 65397921209053690721/34050772685933685*c_1001_10^9 - 268366063539018269359/340507726859336850*c_1001_10^8 - 126520516794684312887/68101545371867370*c_1001_10^7 + 1769798017198001016/2101899548514425*c_1001_10^6 - 509846702961122028049/340507726859336850*c_1001_10^5 - 9652513695175391891/17921459308386150*c_1001_10^4 + 472506796679995816483/170253863429668425*c_1001_10^3 - 658825907818562429/2063683193086890*c_1001_10^2 + 52784618116860399037/340507726859336850*c_1001_10 - 54091912316511433549/340507726859336850, c_0011_0 - 1, c_0011_10 + 764693755334/10056935638825*c_1001_10^14 + 7392611423138/10056935638825*c_1001_10^13 + 28389337448003/10056935638825*c_1001_10^12 + 54885136671444/10056935638825*c_1001_10^11 + 5979230723591/2011387127765*c_1001_10^10 - 15020317809571/2011387127765*c_1001_10^9 - 118162873841003/10056935638825*c_1001_10^8 - 9463061326559/2011387127765*c_1001_10^7 - 14645020039461/10056935638825*c_1001_10^6 + 41792760571242/10056935638825*c_1001_10^5 + 104008972931607/10056935638825*c_1001_10^4 + 37122270420572/10056935638825*c_1001_10^3 + 580608702996/2011387127765*c_1001_10^2 - 12111937315471/10056935638825*c_1001_10 - 9776484851158/10056935638825, c_0011_11 + 3141625204603/10056935638825*c_1001_10^14 + 29721636468371/10056935638825*c_1001_10^13 + 110775759299176/10056935638825*c_1001_10^12 + 205043427358573/10056935638825*c_1001_10^11 + 17739022482857/2011387127765*c_1001_10^10 - 62367855537912/2011387127765*c_1001_10^9 - 411183249505476/10056935638825*c_1001_10^8 - 23110118557058/2011387127765*c_1001_10^7 - 46484527560287/10056935638825*c_1001_10^6 + 149437928179639/10056935638825*c_1001_10^5 + 376723438836394/10056935638825*c_1001_10^4 + 102251651151999/10056935638825*c_1001_10^3 - 8249934419718/2011387127765*c_1001_10^2 - 39179510359082/10056935638825*c_1001_10 - 2094500186161/10056935638825, c_0011_12 - 554139969628/10056935638825*c_1001_10^14 - 4097923918996/10056935638825*c_1001_10^13 - 8797978804676/10056935638825*c_1001_10^12 + 3614361756427/10056935638825*c_1001_10^11 + 11654857879343/2011387127765*c_1001_10^10 + 17967007510177/2011387127765*c_1001_10^9 - 29305289497674/10056935638825*c_1001_10^8 - 23244246608072/2011387127765*c_1001_10^7 - 44346801606838/10056935638825*c_1001_10^6 - 58060060457739/10056935638825*c_1001_10^5 - 9906812791744/10056935638825*c_1001_10^4 + 103110281025501/10056935638825*c_1001_10^3 + 7926975414578/2011387127765*c_1001_10^2 + 7765760806457/10056935638825*c_1001_10 - 7304049555589/10056935638825, c_0011_9 - 2368788438831/10056935638825*c_1001_10^14 - 24092274984067/10056935638825*c_1001_10^13 - 98622128815527/10056935638825*c_1001_10^12 - 206732953360571/10056935638825*c_1001_10^11 - 30584256917694/2011387127765*c_1001_10^10 + 44500544050384/2011387127765*c_1001_10^9 + 466712170945952/10056935638825*c_1001_10^8 + 42617708005601/2011387127765*c_1001_10^7 + 39455860863124/10056935638825*c_1001_10^6 - 60673239822753/10056935638825*c_1001_10^5 - 363765806799288/10056935638825*c_1001_10^4 - 229813747274148/10056935638825*c_1001_10^3 + 10982191015266/2011387127765*c_1001_10^2 + 27051525773914/10056935638825*c_1001_10 + 5245721474547/10056935638825, c_0101_1 + 8326010340046/10056935638825*c_1001_10^14 + 77045614470122/10056935638825*c_1001_10^13 + 277727898509182/10056935638825*c_1001_10^12 + 487911697060911/10056935638825*c_1001_10^11 + 29352582525194/2011387127765*c_1001_10^10 - 163990819851354/2011387127765*c_1001_10^9 - 869033971866907/10056935638825*c_1001_10^8 - 26670397037391/2011387127765*c_1001_10^7 - 192576750620684/10056935638825*c_1001_10^6 + 377928511602023/10056935638825*c_1001_10^5 + 906188436407083/10056935638825*c_1001_10^4 + 51780971728418/10056935638825*c_1001_10^3 - 12940190450691/2011387127765*c_1001_10^2 - 19757413420824/10056935638825*c_1001_10 - 8987370818027/10056935638825, c_0101_10 + 280586919629/10056935638825*c_1001_10^14 + 3153726780353/10056935638825*c_1001_10^13 + 14258443976468/10056935638825*c_1001_10^12 + 32912902175764/10056935638825*c_1001_10^11 + 6265212809431/2011387127765*c_1001_10^10 - 5032700900506/2011387127765*c_1001_10^9 - 76304229046793/10056935638825*c_1001_10^8 - 7281868108539/2011387127765*c_1001_10^7 - 11432101315141/10056935638825*c_1001_10^6 - 14643622193773/10056935638825*c_1001_10^5 + 54870876650842/10056935638825*c_1001_10^4 + 38250961654157/10056935638825*c_1001_10^3 - 2561528852074/2011387127765*c_1001_10^2 + 20387424327649/10056935638825*c_1001_10 - 1517780311348/10056935638825, c_0101_12 + 83182048509/2011387127765*c_1001_10^14 + 737605426463/2011387127765*c_1001_10^13 + 2571656186743/2011387127765*c_1001_10^12 + 4648214327094/2011387127765*c_1001_10^11 + 489476515292/402277425553*c_1001_10^10 - 874510198166/402277425553*c_1001_10^9 - 6098185230213/2011387127765*c_1001_10^8 - 1705118942682/402277425553*c_1001_10^7 - 8145834678466/2011387127765*c_1001_10^6 + 6899539985077/2011387127765*c_1001_10^5 + 4018394987817/2011387127765*c_1001_10^4 + 1719827178267/2011387127765*c_1001_10^3 + 2200185365188/402277425553*c_1001_10^2 - 2739922925756/2011387127765*c_1001_10 - 1578534916533/2011387127765, c_0101_2 + 8068743310923/10056935638825*c_1001_10^14 + 72574917453811/10056935638825*c_1001_10^13 + 250716949752266/10056935638825*c_1001_10^12 + 411289635646218/10056935638825*c_1001_10^11 + 9623722897112/2011387127765*c_1001_10^10 - 156750500597597/2011387127765*c_1001_10^9 - 627259899848416/10056935638825*c_1001_10^8 + 744789796202/2011387127765*c_1001_10^7 - 233122946858067/10056935638825*c_1001_10^6 + 399168684521799/10056935638825*c_1001_10^5 + 769049818477179/10056935638825*c_1001_10^4 - 126169583038541/10056935638825*c_1001_10^3 + 751326152447/2011387127765*c_1001_10^2 - 1693258464937/10056935638825*c_1001_10 - 12067659683526/10056935638825, c_0101_3 - 1287060466777/2011387127765*c_1001_10^14 - 11785474469174/2011387127765*c_1001_10^13 - 41772673545749/2011387127765*c_1001_10^12 - 71205932250887/2011387127765*c_1001_10^11 - 3043004348210/402277425553*c_1001_10^10 + 25805652341041/402277425553*c_1001_10^9 + 121563560334294/2011387127765*c_1001_10^8 + 1400768374909/402277425553*c_1001_10^7 + 29825233295903/2011387127765*c_1001_10^6 - 58173732554481/2011387127765*c_1001_10^5 - 136292045582706/2011387127765*c_1001_10^4 + 4807762766559/2011387127765*c_1001_10^3 + 2507453201089/402277425553*c_1001_10^2 - 1138828832117/2011387127765*c_1001_10 + 761643988209/2011387127765, c_0101_7 + 3220110145699/10056935638825*c_1001_10^14 + 28439602817593/10056935638825*c_1001_10^13 + 95577695010508/10056935638825*c_1001_10^12 + 149929175722434/10056935638825*c_1001_10^11 - 86188438409/2011387127765*c_1001_10^10 - 60882979932186/2011387127765*c_1001_10^9 - 198510420298733/10056935638825*c_1001_10^8 + 4004486167336/2011387127765*c_1001_10^7 - 110085461698221/10056935638825*c_1001_10^6 + 177117617978512/10056935638825*c_1001_10^5 + 277122446572552/10056935638825*c_1001_10^4 - 98275319486133/10056935638825*c_1001_10^3 + 5287248063066/2011387127765*c_1001_10^2 + 7164743507119/10056935638825*c_1001_10 - 6276659120463/10056935638825, c_1001_0 - 280450787667/10056935638825*c_1001_10^14 - 1759363333669/10056935638825*c_1001_10^13 - 1301362994539/10056935638825*c_1001_10^12 + 14366798064653/10056935638825*c_1001_10^11 + 10864847019222/2011387127765*c_1001_10^10 + 11868697264598/2011387127765*c_1001_10^9 - 52104624459161/10056935638825*c_1001_10^8 - 24249566501068/2011387127765*c_1001_10^7 - 43388995605457/10056935638825*c_1001_10^6 - 30069813361146/10056935638825*c_1001_10^5 + 14028132592209/10056935638825*c_1001_10^4 + 109898439472614/10056935638825*c_1001_10^3 + 8209716289582/2011387127765*c_1001_10^2 - 6032088973177/10056935638825*c_1001_10 - 12111937315471/10056935638825, c_1001_10^15 + 9*c_1001_10^14 + 31*c_1001_10^13 + 50*c_1001_10^12 + 2*c_1001_10^11 - 105*c_1001_10^10 - 82*c_1001_10^9 + 11*c_1001_10^8 - 14*c_1001_10^7 + 55*c_1001_10^6 + 99*c_1001_10^5 - 21*c_1001_10^4 - 14*c_1001_10^3 - 4*c_1001_10^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.340 Total time: 2.549 seconds, Total memory usage: 83.88MB