Magma V2.19-8 Tue Aug 20 2013 23:29:35 on localhost [Seed = 4020865409] Type ? for help. Type -D to quit. Loading file "K14a12741__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14a12741 geometric_solution 3.60046726 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 8 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 1 0 -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 3 0 -3 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.531895082494 0.531634507370 0 3 3 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 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 -3 0 3 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 -0.935121776700 1.077884725345 0 4 4 0 3201 0132 3201 0132 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 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.300579801817 0.025862035786 1 1 5 6 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 3 -4 1 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001072289321 0.137491123271 2 2 4 4 2310 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.075365474590 0.068456597847 7 6 7 3 0132 3012 3012 0132 0 0 0 0 0 -1 0 1 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 -4 0 4 -1 0 1 0 0 3 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005036677566 1.937474119872 5 7 3 7 1230 2310 0132 3012 0 0 0 0 0 0 0 0 -1 0 0 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 1 -1 0 -3 0 0 3 -1 1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005036677566 1.937474119872 5 5 6 6 0132 1230 1230 3201 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 -1 -3 4 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 0.210969098523 0.406698757970 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(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_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_1001_7']), 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_0011_2'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_5'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 301453754283686005139298176/1075226108704589924407403*c_1001_7^11 + 988717259776411385764440912/1075226108704589924407403*c_1001_7^10 - 943676463474646192146822306/1075226108704589924407403*c_1001_7^9 + 750155883743309299669733952/1075226108704589924407403*c_1001_7^8 - 106189651581453713159852652/82709700669583840339031*c_1001_7^7 - 4681409725882773536603040004/1075226108704589924407403*c_1001_7^6 + 15351576631892255629515521624/1075226108704589924407403*c_1001_7^5 - 3291135365860700009810054203/1075226108704589924407403*c_1001_7^4 - 28424772659930805655607616219/1075226108704589924407403*c_1001_7^3 + 37571415755297931120154084363/1075226108704589924407403*c_1001_7^2 - 19446586800209148829343889485/1075226108704589924407403*c_1001_7 + 3841193656390906086506487845/1075226108704589924407403, c_0011_0 - 1, c_0011_2 + 355414176016054784/45453306831860537*c_1001_7^11 - 1050829058003425344/45453306831860537*c_1001_7^10 + 970637522976994248/45453306831860537*c_1001_7^9 - 901031035309703806/45453306831860537*c_1001_7^8 + 1402066269402568730/45453306831860537*c_1001_7^7 + 5613306105362281112/45453306831860537*c_1001_7^6 - 15948179969390029932/45453306831860537*c_1001_7^5 + 2375621032907276843/45453306831860537*c_1001_7^4 + 30065927445863547566/45453306831860537*c_1001_7^3 - 39625742829022060516/45453306831860537*c_1001_7^2 + 20944109907972828066/45453306831860537*c_1001_7 - 4236613377640954590/45453306831860537, c_0011_5 + 592189221707176218688/167768155516397242067*c_1001_7^11 - 1879154076696141104472/167768155516397242067*c_1001_7^10 + 1671992655010216725487/167768155516397242067*c_1001_7^9 - 1361702162726452918286/167768155516397242067*c_1001_7^8 + 2616372920147476524196/167768155516397242067*c_1001_7^7 + 9445942820186365753481/167768155516397242067*c_1001_7^6 - 29047522798764441658016/167768155516397242067*c_1001_7^5 + 3662005115949051685320/167768155516397242067*c_1001_7^4 + 55162683275648268800199/167768155516397242067*c_1001_7^3 - 67944843679632049009425/167768155516397242067*c_1001_7^2 + 33061094217795280639884/167768155516397242067*c_1001_7 - 6030254742809180862026/167768155516397242067, c_0101_0 + 1367257860019736803072/167768155516397242067*c_1001_7^11 - 3642667869023557537760/167768155516397242067*c_1001_7^10 + 2914269425284421724348/167768155516397242067*c_1001_7^9 - 3151386681745208290167/167768155516397242067*c_1001_7^8 + 4716676024076472729682/167768155516397242067*c_1001_7^7 + 22579299050562185210096/167768155516397242067*c_1001_7^6 - 54089114397491445703433/167768155516397242067*c_1001_7^5 - 2286114265370825229780/167768155516397242067*c_1001_7^4 + 107289117381230734935450/167768155516397242067*c_1001_7^3 - 125642186054222161335291/167768155516397242067*c_1001_7^2 + 61595599614418327340928/167768155516397242067*c_1001_7 - 11615444693435326123283/167768155516397242067, c_0101_1 - 299550035210578304/45453306831860537*c_1001_7^11 + 596257415779875152/45453306831860537*c_1001_7^10 - 215861451246950290/45453306831860537*c_1001_7^9 + 528251254827594619/45453306831860537*c_1001_7^8 - 693068605286819568/45453306831860537*c_1001_7^7 - 5453055576236417752/45453306831860537*c_1001_7^6 + 8181124929292114017/45453306831860537*c_1001_7^5 + 6415053793322809646/45453306831860537*c_1001_7^4 - 19297666941745998876/45453306831860537*c_1001_7^3 + 13730406725828622650/45453306831860537*c_1001_7^2 - 3655611626269352966/45453306831860537*c_1001_7 + 178286143825449651/45453306831860537, c_0101_3 - 631809352583826113088/167768155516397242067*c_1001_7^11 + 1583855418847377941784/167768155516397242067*c_1001_7^10 - 1162768294754656366023/167768155516397242067*c_1001_7^9 + 1392370382487749921586/167768155516397242067*c_1001_7^8 - 2011889241169384851720/167768155516397242067*c_1001_7^7 - 10628943471880466195790/167768155516397242067*c_1001_7^6 + 23206689408260689646319/167768155516397242067*c_1001_7^5 + 3558843241743573688143/167768155516397242067*c_1001_7^4 - 47408592518142504285147/167768155516397242067*c_1001_7^3 + 51826056507343257876226/167768155516397242067*c_1001_7^2 - 24208443559188409759380/167768155516397242067*c_1001_7 + 4497048003914609723415/167768155516397242067, c_0101_4 - 293716693362497996224/167768155516397242067*c_1001_7^11 - 56638543172475596888/167768155516397242067*c_1001_7^10 + 1118918304122499873919/167768155516397242067*c_1001_7^9 + 7605634056290852151/167768155516397242067*c_1001_7^8 + 398763116947763603962/167768155516397242067*c_1001_7^7 - 6940958087192663344727/167768155516397242067*c_1001_7^6 - 3644567503809441956554/167768155516397242067*c_1001_7^5 + 24871607639560322615740/167768155516397242067*c_1001_7^4 - 5489144198725603336582/167768155516397242067*c_1001_7^3 - 30026425114788483176244/167768155516397242067*c_1001_7^2 + 27322131069459605491188/167768155516397242067*c_1001_7 - 7330218996320348698506/167768155516397242067, c_1001_7^12 - 27/8*c_1001_7^11 + 255/64*c_1001_7^10 - 15/4*c_1001_7^9 + 325/64*c_1001_7^8 + 113/8*c_1001_7^7 - 411/8*c_1001_7^6 + 411/16*c_1001_7^5 + 5157/64*c_1001_7^4 - 9377/64*c_1001_7^3 + 6911/64*c_1001_7^2 - 2515/64*c_1001_7 + 377/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB