Magma V2.19-8 Tue Aug 20 2013 23:42:48 on localhost [Seed = 2117606199] Type ? for help. Type -D to quit. Loading file "L13n5896__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5896 geometric_solution 10.49294808 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 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 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 0.506782541984 0.798940693486 0 5 6 6 0132 0132 0213 0132 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 0 0 0 0 0 0 -1 0 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 0.307825126330 0.589845930242 2 0 3 2 3012 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336980238195 1.307010557625 7 2 5 0 0132 1230 2103 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 1 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971574647786 0.543980838797 8 9 0 9 0132 0132 0132 1230 0 0 1 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 2 1 -3 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 0.509949596343 0.865454588203 3 1 8 8 2103 0132 3120 3201 1 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 1 -3 2 -2 0 3 -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 0.713833162520 1.070610390076 7 1 1 9 2103 0213 0132 3012 1 0 0 0 0 0 0 0 -1 0 0 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 -1 1 2 0 0 -2 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.836946257544 0.713214770750 3 10 6 10 0132 0132 2103 3012 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 -3 3 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893130274072 0.967518454822 4 5 5 10 0132 2310 3120 1023 0 0 0 1 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 0 0 0 0 0 -3 3 -1 1 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233016275616 0.871762947546 4 4 6 10 3012 0132 1230 3120 0 0 0 1 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 -2 2 0 3 0 -3 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 0.495420242678 0.874938004162 9 7 7 8 3120 0132 1230 1023 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250837602658 0.869464704549 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_10' : d['c_0011_6'], '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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_0110_10'], 'c_1100_3' : d['c_0110_10'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0110_10'], 'c_1100_8' : negation(d['c_0101_3']), '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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_10'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0110_10']), 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_10'])})} 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_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_9, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 50808688225087885264082705431840/3656712186507257995286488579*c_011\ 0_10^12 + 415456180682579710767232638583944/36567121865072579952864\ 88579*c_0110_10^11 - 1286297052937807092898672002426460/36567121865\ 07257995286488579*c_0110_10^10 + 2363384425126412093179807137087610\ /3656712186507257995286488579*c_0110_10^9 - 7363531301637598555259282008937290/3656712186507257995286488579*c_0\ 110_10^8 + 464585465460700471855700200169846/2812855528082506150220\ 37583*c_0110_10^7 - 61696637105238274928990056676441/50091947760373\ 397195705323*c_0110_10^6 - 1659824617941972748602560454548988/36567\ 12186507257995286488579*c_0110_10^5 + 388381769837499496327419211692018/281285552808250615022037583*c_011\ 0_10^4 + 3838265192930936481802421212414811/36567121865072579952864\ 88579*c_0110_10^3 + 3165563616449475407701235302785484/365671218650\ 7257995286488579*c_0110_10^2 - 318539448515639618184733378632650/36\ 56712186507257995286488579*c_0110_10 + 22252596338605008650778204660831/3656712186507257995286488579, c_0011_0 - 1, c_0011_10 - 945765987346650830084/3593830926781364461307*c_0110_10^12 + 8215814734550860762079/3593830926781364461307*c_0110_10^11 - 27844303431920533681045/3593830926781364461307*c_0110_10^10 + 55846761615122165721356/3593830926781364461307*c_0110_10^9 - 158399408790918080318358/3593830926781364461307*c_0110_10^8 + 180365828257213201929628/3593830926781364461307*c_0110_10^7 - 1850581783730904457175/49230560640840609059*c_0110_10^6 + 6920283635399490753077/3593830926781364461307*c_0110_10^5 + 112647894638176454756165/3593830926781364461307*c_0110_10^4 + 27223730101024197233755/3593830926781364461307*c_0110_10^3 + 18605680537209099610169/3593830926781364461307*c_0110_10^2 - 36479080802627682419467/3593830926781364461307*c_0110_10 + 1311464126887817800410/3593830926781364461307, c_0011_4 + 1020614683721671402696/3593830926781364461307*c_0110_10^12 - 8849226064620562806002/3593830926781364461307*c_0110_10^11 + 29935776341407691802329/3593830926781364461307*c_0110_10^10 - 60071064727014390503731/3593830926781364461307*c_0110_10^9 + 170955310484129213649805/3593830926781364461307*c_0110_10^8 - 193706498947177300811964/3593830926781364461307*c_0110_10^7 + 2022582914018626145604/49230560640840609059*c_0110_10^6 - 10925685756137549950388/3593830926781364461307*c_0110_10^5 - 120127788998904990361233/3593830926781364461307*c_0110_10^4 - 27073091470522522490055/3593830926781364461307*c_0110_10^3 - 25672477344412893591773/3593830926781364461307*c_0110_10^2 + 40350314087770794463310/3593830926781364461307*c_0110_10 - 892337358039363950848/3593830926781364461307, c_0011_6 - 522521592017616907176/3593830926781364461307*c_0110_10^12 + 4594383818941358540230/3593830926781364461307*c_0110_10^11 - 15875817444833881816202/3593830926781364461307*c_0110_10^10 + 32576299177931652900327/3593830926781364461307*c_0110_10^9 - 91067101689295319844165/3593830926781364461307*c_0110_10^8 + 109497955556363647906499/3593830926781364461307*c_0110_10^7 - 1192386355538371552063/49230560640840609059*c_0110_10^6 + 12830792887380834000758/3593830926781364461307*c_0110_10^5 + 59564553146026268061299/3593830926781364461307*c_0110_10^4 + 6245166228489055851757/3593830926781364461307*c_0110_10^3 + 10117051730539493577800/3593830926781364461307*c_0110_10^2 - 24068279915768841667540/3593830926781364461307*c_0110_10 + 2390821315739294657847/3593830926781364461307, c_0101_0 - 801020977808252324788/3593830926781364461307*c_0110_10^12 + 6916640853525317204067/3593830926781364461307*c_0110_10^11 - 23252462385099311963693/3593830926781364461307*c_0110_10^10 + 46356279410677191287258/3593830926781364461307*c_0110_10^9 - 132711075823509220770009/3593830926781364461307*c_0110_10^8 + 147992856585856058296290/3593830926781364461307*c_0110_10^7 - 1541698913807864007548/49230560640840609059*c_0110_10^6 + 7319792483644053772350/3593830926781364461307*c_0110_10^5 + 87267729805304377008221/3593830926781364461307*c_0110_10^4 + 26996883692517356310662/3593830926781364461307*c_0110_10^3 + 19269010572902530858132/3593830926781364461307*c_0110_10^2 - 34132849627867081926567/3593830926781364461307*c_0110_10 - 469219307756067892993/3593830926781364461307, c_0101_10 + 6715232049593296012/49230560640840609059*c_0110_10^12 - 57412146169270478309/49230560640840609059*c_0110_10^11 + 189824201106355411149/49230560640840609059*c_0110_10^10 - 370384847285348609556/49230560640840609059*c_0110_10^9 + 1072776462376779967239/49230560640840609059*c_0110_10^8 - 1129335766808276970946/49230560640840609059*c_0110_10^7 + 797161213289556927956/49230560640840609059*c_0110_10^6 + 80018043820547771640/49230560640840609059*c_0110_10^5 - 807766659957373782428/49230560640840609059*c_0110_10^4 - 313121870098398633858/49230560640840609059*c_0110_10^3 - 133098887019665433478/49230560640840609059*c_0110_10^2 + 247887324936569422000/49230560640840609059*c_0110_10 + 29719809055739559075/49230560640840609059, c_0101_2 - 496712941273870368884/3593830926781364461307*c_0110_10^12 + 4312965022986287217203/3593830926781364461307*c_0110_10^11 - 14640996180242113655333/3593830926781364461307*c_0110_10^10 + 29535888738908052391840/3593830926781364461307*c_0110_10^9 - 83815947270688241592917/3593830926781364461307*c_0110_10^8 + 95675824562292825838354/3593830926781364461307*c_0110_10^7 - 1029807071879745631016/49230560640840609059*c_0110_10^6 + 6040185245894336385967/3593830926781364461307*c_0110_10^5 + 55340818615938468430444/3593830926781364461307*c_0110_10^4 + 14617596200300084160141/3593830926781364461307*c_0110_10^3 + 8928221272174650290464/3593830926781364461307*c_0110_10^2 - 18559838679553210624212/3593830926781364461307*c_0110_10 + 4433326978031652260058/3593830926781364461307, c_0101_3 + 1020614683721671402696/3593830926781364461307*c_0110_10^12 - 8849226064620562806002/3593830926781364461307*c_0110_10^11 + 29935776341407691802329/3593830926781364461307*c_0110_10^10 - 60071064727014390503731/3593830926781364461307*c_0110_10^9 + 170955310484129213649805/3593830926781364461307*c_0110_10^8 - 193706498947177300811964/3593830926781364461307*c_0110_10^7 + 2022582914018626145604/49230560640840609059*c_0110_10^6 - 10925685756137549950388/3593830926781364461307*c_0110_10^5 - 120127788998904990361233/3593830926781364461307*c_0110_10^4 - 27073091470522522490055/3593830926781364461307*c_0110_10^3 - 25672477344412893591773/3593830926781364461307*c_0110_10^2 + 43944145014552158924617/3593830926781364461307*c_0110_10 - 892337358039363950848/3593830926781364461307, c_0101_9 + 3815060079323772844/49230560640840609059*c_0110_10^12 - 31811740199780255669/49230560640840609059*c_0110_10^11 + 101049930688567536267/49230560640840609059*c_0110_10^10 - 188766852503363539547/49230560640840609059*c_0110_10^9 + 570465399098820560628/49230560640840609059*c_0110_10^8 - 527327411362909731367/49230560640840609059*c_0110_10^7 + 349312558269492455485/49230560640840609059*c_0110_10^6 + 75493156215572331896/49230560640840609059*c_0110_10^5 - 379495570675042588314/49230560640840609059*c_0110_10^4 - 284270102246963019985/49230560640840609059*c_0110_10^3 - 125369299210452565484/49230560640840609059*c_0110_10^2 + 137870817973948496699/49230560640840609059*c_0110_10 + 39178638678018665080/49230560640840609059, c_0110_10^13 - 35/4*c_0110_10^12 + 30*c_0110_10^11 - 61*c_0110_10^10 + 343/2*c_0110_10^9 - 807/4*c_0110_10^8 + 625/4*c_0110_10^7 - 35/2*c_0110_10^6 - 475/4*c_0110_10^5 - 73/4*c_0110_10^4 - 19*c_0110_10^3 + 169/4*c_0110_10^2 - 4*c_0110_10 + 1/4, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB