Magma V2.19-8 Tue Aug 20 2013 23:44:21 on localhost [Seed = 2783166557] Type ? for help. Type -D to quit. Loading file "L14n32809__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32809 geometric_solution 10.22503289 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 1 0132 0132 1023 1023 0 0 1 1 0 0 1 -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 0 -2 2 -1 0 0 1 -1 1 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.289475193164 0.726166219945 0 3 4 0 0132 0132 0132 1023 0 0 1 1 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 1 0 1 -2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688384382467 0.703538398767 5 0 0 6 0132 0132 1023 0132 0 0 1 1 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 2 -2 5 -5 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688384382467 0.703538398767 5 1 5 6 1302 0132 1230 0321 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326192710948 0.833651207073 5 7 8 1 2103 0132 0132 0132 0 0 1 1 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 1 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455379330570 0.865132333620 2 3 4 3 0132 2031 2103 3012 1 0 1 1 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 0 0 0 4 0 0 -4 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326192710948 0.833651207073 7 3 2 9 0132 0321 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 0 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 0.455379330570 0.865132333620 6 4 9 8 0132 0132 0213 3120 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 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 -0.307094110123 0.661928293924 7 9 10 4 3120 2031 0132 0132 0 0 1 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 0 -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 0.671569797111 0.498330246770 8 7 6 10 1302 0213 0132 0132 0 0 0 1 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 -1 2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671569797111 0.498330246770 10 10 9 8 1302 2031 0132 0132 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 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 0.778626602842 0.694579192536 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_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' : negation(d['c_1100_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1100_10' : negation(d['c_1100_0']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : negation(d['c_1100_0']), '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' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_8'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_8, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_8, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3543310618836353024/1214956825*c_1100_0^15 - 67759676110831702016/3644870475*c_1100_0^14 + 68020158276178868224/1214956825*c_1100_0^13 - 5240438230390071296/48598273*c_1100_0^12 + 112364471878031360576/728974095*c_1100_0^11 - 663353995094636611376/3644870475*c_1100_0^10 + 689036285434607691748/3644870475*c_1100_0^9 - 627965831101319727941/3644870475*c_1100_0^8 + 31938666869458105843/242991365*c_1100_0^7 - 290972248075702355846/3644870475*c_1100_0^6 + 135376536106376659096/3644870475*c_1100_0^5 - 46667053902521203157/3644870475*c_1100_0^4 + 11449181062163619353/3644870475*c_1100_0^3 - 1877321242286716073/3644870475*c_1100_0^2 + 36579155977385816/728974095*c_1100_0 - 7922846890765249/3644870475, c_0011_0 - 1, c_0011_10 + 106018233499648/145794819*c_1100_0^15 - 641551995424768/145794819*c_1100_0^14 + 616358313838592/48598273*c_1100_0^13 - 3437017765898240/145794819*c_1100_0^12 + 1596168479140032/48598273*c_1100_0^11 - 1854920072000144/48598273*c_1100_0^10 + 1903461511964588/48598273*c_1100_0^9 - 5118332031054229/145794819*c_1100_0^8 + 3812290708148530/145794819*c_1100_0^7 - 749272962895065/48598273*c_1100_0^6 + 337214061539666/48598273*c_1100_0^5 - 336427239025100/145794819*c_1100_0^4 + 79388280061745/145794819*c_1100_0^3 - 4155794332172/48598273*c_1100_0^2 + 1156043807497/145794819*c_1100_0 - 47319651668/145794819, c_0011_4 + 11709792141312/48598273*c_1100_0^15 - 223384687316992/145794819*c_1100_0^14 + 224085692450816/48598273*c_1100_0^13 - 432005628315648/48598273*c_1100_0^12 + 1856689678008128/145794819*c_1100_0^11 - 2197858172210416/145794819*c_1100_0^10 + 2287628125308404/145794819*c_1100_0^9 - 2089022540160817/145794819*c_1100_0^8 + 533123441327656/48598273*c_1100_0^7 - 977884195302463/145794819*c_1100_0^6 + 460042035148391/145794819*c_1100_0^5 - 161277520581679/145794819*c_1100_0^4 + 40539407350147/145794819*c_1100_0^3 - 6877806344878/145794819*c_1100_0^2 + 702309419087/145794819*c_1100_0 - 32475100205/145794819, c_0011_8 + 15564067307520/48598273*c_1100_0^15 - 95141352685568/48598273*c_1100_0^14 + 274936443064320/48598273*c_1100_0^13 - 509537877542912/48598273*c_1100_0^12 + 705543078865920/48598273*c_1100_0^11 - 814949458794560/48598273*c_1100_0^10 + 832775656890736/48598273*c_1100_0^9 - 742911197856052/48598273*c_1100_0^8 + 548162009941741/48598273*c_1100_0^7 - 317806308239907/48598273*c_1100_0^6 + 139353307289579/48598273*c_1100_0^5 - 44640921639584/48598273*c_1100_0^4 + 9992066978137/48598273*c_1100_0^3 - 1454279888581/48598273*c_1100_0^2 + 120221288357/48598273*c_1100_0 - 4096491838/48598273, c_0101_0 - 1, c_0101_1 - 21603697147904/145794819*c_1100_0^15 + 41442573578240/48598273*c_1100_0^14 - 112343863568384/48598273*c_1100_0^13 + 585444323842048/145794819*c_1100_0^12 - 764845470547520/145794819*c_1100_0^11 + 846060621527344/145794819*c_1100_0^10 - 835273923184676/145794819*c_1100_0^9 + 236771418293295/48598273*c_1100_0^8 - 483217051826420/145794819*c_1100_0^7 + 245865454318783/145794819*c_1100_0^6 - 87485504499200/145794819*c_1100_0^5 + 19313209204007/145794819*c_1100_0^4 - 1630457147669/145794819*c_1100_0^3 - 340034987969/145794819*c_1100_0^2 + 105787062863/145794819*c_1100_0 - 2807606727/48598273, c_0101_2 - 21603697147904/145794819*c_1100_0^15 + 41442573578240/48598273*c_1100_0^14 - 112343863568384/48598273*c_1100_0^13 + 585444323842048/145794819*c_1100_0^12 - 764845470547520/145794819*c_1100_0^11 + 846060621527344/145794819*c_1100_0^10 - 835273923184676/145794819*c_1100_0^9 + 236771418293295/48598273*c_1100_0^8 - 483217051826420/145794819*c_1100_0^7 + 245865454318783/145794819*c_1100_0^6 - 87485504499200/145794819*c_1100_0^5 + 19313209204007/145794819*c_1100_0^4 - 1630457147669/145794819*c_1100_0^3 - 340034987969/145794819*c_1100_0^2 + 105787062863/145794819*c_1100_0 - 2807606727/48598273, c_0101_4 + 2*c_1100_0 - 1, c_0101_8 + 4727061037056/48598273*c_1100_0^15 - 89212642742272/145794819*c_1100_0^14 + 89310663813120/48598273*c_1100_0^13 - 172709183268864/48598273*c_1100_0^12 + 746072998600256/145794819*c_1100_0^11 - 886969594915120/145794819*c_1100_0^10 + 925587831198884/145794819*c_1100_0^9 - 847782606647533/145794819*c_1100_0^8 + 217633774108196/48598273*c_1100_0^7 - 402908216841217/145794819*c_1100_0^6 + 191801496702650/145794819*c_1100_0^5 - 68145970558522/145794819*c_1100_0^4 + 17369122780420/145794819*c_1100_0^3 - 2984819407726/145794819*c_1100_0^2 + 307370482016/145794819*c_1100_0 - 14148289757/145794819, c_1001_1 + 2*c_1100_0 - 1, c_1100_0^16 - 27/4*c_1100_0^15 + 173/8*c_1100_0^14 - 355/8*c_1100_0^13 + 17215/256*c_1100_0^12 - 85117/1024*c_1100_0^11 + 366119/4096*c_1100_0^10 - 1387187/16384*c_1100_0^9 + 561055/8192*c_1100_0^8 - 742937/16384*c_1100_0^7 + 388757/16384*c_1100_0^6 - 39081/4096*c_1100_0^5 + 46931/16384*c_1100_0^4 - 2529/4096*c_1100_0^3 + 735/8192*c_1100_0^2 - 1/128*c_1100_0 + 5/16384 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB