Magma V2.19-8 Tue Aug 20 2013 23:39:05 on localhost [Seed = 2783166924] Type ? for help. Type -D to quit. Loading file "K12n851__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n851 geometric_solution 9.32265265 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -7 -1 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 0.131652769428 0.871864895181 0 5 3 6 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695958340391 0.542092485437 3 0 4 5 1302 0132 2103 3120 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 7 -7 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 0.666338439460 0.849618388552 1 2 7 0 2031 2031 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 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 0.177020563105 0.564644730161 2 8 0 9 2103 0132 0132 0132 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 8 -8 0 0 0 0 0 7 -7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.368462047643 1.408189818054 2 1 9 6 3120 0132 2310 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 0.657029161963 0.415253371962 5 7 1 10 3012 3120 0132 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 -7 0 7 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.107655070529 0.607523923919 10 6 9 3 3012 3120 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 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 -7 0 7 0 8 -8 0 0 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473104662011 0.306544563140 10 4 9 10 1023 0132 3201 3120 0 0 0 0 0 1 0 -1 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 -8 0 8 0 0 8 -8 0 1 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159642667241 0.580886224133 8 5 4 7 2310 3201 0132 0132 0 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 0 0 7 0 0 -7 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.047589449682 1.378506109154 8 8 6 7 3120 1023 0132 1230 0 0 0 0 0 0 1 -1 -1 0 0 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 -7 7 8 0 0 -8 1 0 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560109532273 1.600614154392 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0011_7'], '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_0011_9'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_1001_5']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_7'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : negation(d['c_0011_7']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0011_9'])})} 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_3, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 138248220256129606615913/11758656064436425052160*c_1100_0^13 - 16911698914567735919/11758656064436425052160*c_1100_0^12 + 83109411207414035246283/391955202147880835072*c_1100_0^11 - 45884973385585249175293/3919552021478808350720*c_1100_0^10 + 1221199054516463554773343/839904004602601789440*c_1100_0^9 - 1194662796745578359318349/3919552021478808350720*c_1100_0^8 + 7347858303682893833862163/1679808009205203578880*c_1100_0^7 - 214683241398380323896941/103146105828389693440*c_1100_0^6 + 44291153993378882723267381/11758656064436425052160*c_1100_0^5 - 14318983563305061160799063/3919552021478808350720*c_1100_0^4 - 81045096545189126856153883/11758656064436425052160*c_1100_0^3 + 34630468871040136238069593/5879328032218212526080*c_1100_0^2 - 129934035689172060050622793/11758656064436425052160*c_1100_0 + 20470027012186310304092329/1469832008054553131520, c_0011_0 - 1, c_0011_10 - 21101614808753/23023684336694128*c_1100_0^13 - 33100119352921/23023684336694128*c_1100_0^12 - 79725187712533/11511842168347064*c_1100_0^11 - 615718089192273/23023684336694128*c_1100_0^10 + 130046423708591/11511842168347064*c_1100_0^9 - 3810592764414113/23023684336694128*c_1100_0^8 + 5162538862847235/23023684336694128*c_1100_0^7 - 5173871449674803/11511842168347064*c_1100_0^6 + 14096376781809667/23023684336694128*c_1100_0^5 - 4567679006651571/23023684336694128*c_1100_0^4 + 3889991827954179/23023684336694128*c_1100_0^3 + 17458373113841111/11511842168347064*c_1100_0^2 - 25551289712029679/23023684336694128*c_1100_0 - 701628313582033/2877960542086766, c_0011_3 + 19540325372635/23023684336694128*c_1100_0^13 - 10336475939725/23023684336694128*c_1100_0^12 + 215702105668303/11511842168347064*c_1100_0^11 + 28316077518619/23023684336694128*c_1100_0^10 + 1772742130583507/11511842168347064*c_1100_0^9 + 878146953569915/23023684336694128*c_1100_0^8 + 13045500436514671/23023684336694128*c_1100_0^7 + 479013827551401/11511842168347064*c_1100_0^6 + 14366555353750111/23023684336694128*c_1100_0^5 - 12329164940854479/23023684336694128*c_1100_0^4 - 17687459948215073/23023684336694128*c_1100_0^3 - 7948309420945213/11511842168347064*c_1100_0^2 - 21111249404201195/23023684336694128*c_1100_0 + 4925165268050555/2877960542086766, c_0011_6 + 1487465802371/23023684336694128*c_1100_0^13 - 34351829143989/23023684336694128*c_1100_0^12 + 26292580672791/11511842168347064*c_1100_0^11 - 357857979969421/23023684336694128*c_1100_0^10 + 245302097929715/11511842168347064*c_1100_0^9 - 917328996226749/23023684336694128*c_1100_0^8 + 1987289569146295/23023684336694128*c_1100_0^7 + 419381332221577/11511842168347064*c_1100_0^6 + 1183975089305719/23023684336694128*c_1100_0^5 + 2369354184337833/23023684336694128*c_1100_0^4 - 3536877308445897/23023684336694128*c_1100_0^3 - 2450333159445597/11511842168347064*c_1100_0^2 + 20685551807158253/23023684336694128*c_1100_0 + 537114712112249/2877960542086766, c_0011_7 + 35070998988173/46047368673388256*c_1100_0^13 + 95839401267381/46047368673388256*c_1100_0^12 + 276282635093961/23023684336694128*c_1100_0^11 + 1382967494520109/46047368673388256*c_1100_0^10 + 1407212224722829/23023684336694128*c_1100_0^9 + 6660038699074397/46047368673388256*c_1100_0^8 + 3343752987523225/46047368673388256*c_1100_0^7 + 4571743599790263/23023684336694128*c_1100_0^6 - 10361451115544343/46047368673388256*c_1100_0^5 - 7618143819267641/46047368673388256*c_1100_0^4 - 13643984061159655/46047368673388256*c_1100_0^3 - 10137746064854851/23023684336694128*c_1100_0^2 + 26443081418029683/46047368673388256*c_1100_0 + 4269797526551805/5755921084173532, c_0011_9 + 173478036710807/46047368673388256*c_1100_0^13 - 140149976843185/46047368673388256*c_1100_0^12 + 1114339849696475/23023684336694128*c_1100_0^11 - 1924379436598505/46047368673388256*c_1100_0^10 + 4745837370461159/23023684336694128*c_1100_0^9 - 11213608778478521/46047368673388256*c_1100_0^8 + 11304685152175995/46047368673388256*c_1100_0^7 - 10240987910380267/23023684336694128*c_1100_0^6 - 17579516638220181/46047368673388256*c_1100_0^5 + 35765547916090533/46047368673388256*c_1100_0^4 - 31764845927158565/46047368673388256*c_1100_0^3 + 39597925363078903/23023684336694128*c_1100_0^2 + 23685252070991241/46047368673388256*c_1100_0 - 10772058591858241/5755921084173532, c_0101_0 + 95989087/122419521974*c_1100_0^13 + 127692337/122419521974*c_1100_0^12 + 1007111771/61209760987*c_1100_0^11 + 2053330945/122419521974*c_1100_0^10 + 8121570636/61209760987*c_1100_0^9 + 9546747787/122419521974*c_1100_0^8 + 58797752283/122419521974*c_1100_0^7 + 317072692/61209760987*c_1100_0^6 + 70093263561/122419521974*c_1100_0^5 - 78153681171/122419521974*c_1100_0^4 - 75240241183/122419521974*c_1100_0^3 - 29233358828/61209760987*c_1100_0^2 - 99818776185/122419521974*c_1100_0 + 93327035517/61209760987, c_0101_3 + 15139121174753/23023684336694128*c_1100_0^13 - 20767458373351/23023684336694128*c_1100_0^12 + 40087465315757/11511842168347064*c_1100_0^11 - 236713108543103/23023684336694128*c_1100_0^10 - 152220709449119/11511842168347064*c_1100_0^9 - 1091592989494239/23023684336694128*c_1100_0^8 - 1851760535156723/23023684336694128*c_1100_0^7 - 289114959405893/11511842168347064*c_1100_0^6 + 511878045531325/23023684336694128*c_1100_0^5 + 2055472263067075/23023684336694128*c_1100_0^4 + 5264569018878125/23023684336694128*c_1100_0^3 - 468416605123543/11511842168347064*c_1100_0^2 - 5220428438613409/23023684336694128*c_1100_0 + 567702426175395/2877960542086766, c_0101_5 + 27358796402727/5755921084173532*c_1100_0^13 + 40088735112267/5755921084173532*c_1100_0^12 + 203954537973945/2877960542086766*c_1100_0^11 + 558201917695955/5755921084173532*c_1100_0^10 + 1070871599749491/2877960542086766*c_1100_0^9 + 2314712030698679/5755921084173532*c_1100_0^8 + 3275728983301467/5755921084173532*c_1100_0^7 + 767924719825541/2877960542086766*c_1100_0^6 - 5627857020331717/5755921084173532*c_1100_0^5 - 6453969496749295/5755921084173532*c_1100_0^4 - 10358051704712265/5755921084173532*c_1100_0^3 - 789240207219623/2877960542086766*c_1100_0^2 + 16230393859182629/5755921084173532*c_1100_0 + 1884091590673138/1438980271043383, c_1001_5 + 49924526512239/46047368673388256*c_1100_0^13 - 49692831739321/46047368673388256*c_1100_0^12 + 412392233598595/23023684336694128*c_1100_0^11 - 703802636037105/46047368673388256*c_1100_0^10 + 2587280079888911/23023684336694128*c_1100_0^9 - 3429581880151969/46047368673388256*c_1100_0^8 + 14285499132428499/46047368673388256*c_1100_0^7 - 3207317669715091/23023684336694128*c_1100_0^6 + 10645160941586723/46047368673388256*c_1100_0^5 - 2965890938392467/46047368673388256*c_1100_0^4 - 26036585064673101/46047368673388256*c_1100_0^3 + 2458896574031935/23023684336694128*c_1100_0^2 - 8240579176574735/46047368673388256*c_1100_0 + 2259769344949407/5755921084173532, c_1100_0^14 + c_1100_0^13 + 18*c_1100_0^12 + 17*c_1100_0^11 + 122*c_1100_0^10 + 97*c_1100_0^9 + 341*c_1100_0^8 + 190*c_1100_0^7 + 125*c_1100_0^6 - 5*c_1100_0^5 - 923*c_1100_0^4 - 102*c_1100_0^3 - 433*c_1100_0^2 + 240*c_1100_0 + 1216 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.610 seconds, Total memory usage: 32.09MB