Magma V2.19-8 Tue Aug 20 2013 23:38:29 on localhost [Seed = 1360475500] Type ? for help. Type -D to quit. Loading file "K11n30__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n30 geometric_solution 9.73656555 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 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653306889648 0.374156753247 0 2 6 5 0132 3012 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847383136757 0.660117611068 1 0 6 4 1230 0132 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.576517862062 1.860242613140 4 7 8 0 3120 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 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 0.433437535388 0.573006448970 7 2 0 3 2103 1302 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.917563183676 1.173606560058 7 9 1 10 3120 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 -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 0.285050904842 0.526016548262 7 2 9 1 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088833316802 0.823880421108 6 3 4 5 0132 0132 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0.034536957359 0.809659309710 10 9 10 3 1230 2031 3201 0132 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 0 0 0 0 0 -1 1 0 1 0 -1 1 8 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816700945128 0.556776872544 8 5 10 6 1302 0132 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.283233038550 1.063649336607 8 8 5 9 2310 3012 0132 0132 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 -1 1 0 9 0 -1 -8 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533467906578 1.620426209151 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_8']), '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' : negation(d['1']), 's_2_2' : negation(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' : d['c_1100_1'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : d['c_1100_1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0011_5']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], '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_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 1946522544257394382890191003099/46461815159605011347719912*c_1100_1\ ^19 + 4118860464336273903269371707929/46461815159605011347719912*c_\ 1100_1^18 + 35515431983661980858977400894261/4646181515960501134771\ 9912*c_1100_1^17 + 54730012012592275164562932839691/464618151596050\ 11347719912*c_1100_1^16 + 173753588192800063900677727366767/4646181\ 5159605011347719912*c_1100_1^15 + 175882285506271114711888923882151\ /46461815159605011347719912*c_1100_1^14 + 2046434341242679288885359163009/683261987641250166878234*c_1100_1^1\ 3 + 259466939782473315471856701441935/46461815159605011347719912*c_\ 1100_1^12 + 234038780888926113823000387117541/232309075798025056738\ 59956*c_1100_1^11 + 340460929927390780285932324256169/4646181515960\ 5011347719912*c_1100_1^10 + 56280973550967962252550520386602/580772\ 6894950626418464989*c_1100_1^9 + 276096156306939936359320832376705/\ 46461815159605011347719912*c_1100_1^8 + 19903098894239190245367663434619/4223801378145910122519992*c_1100_1\ ^7 + 42847907451676820575122469601411/11615453789901252836929978*c_\ 1100_1^6 - 2810155100246036299982198751999/116154537899012528369299\ 78*c_1100_1^5 - 162442013309403185505776003769/58077268949506264184\ 64989*c_1100_1^4 + 25150369103125928024231086360123/464618151596050\ 11347719912*c_1100_1^3 + 25791665178796544079611722859501/232309075\ 79802505673859956*c_1100_1^2 + 7560950302257750770644129539469/5807\ 726894950626418464989*c_1100_1 + 16754803969934440249642939969617/4\ 6461815159605011347719912, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_3 - 4011118472905969192329/12278492378331134077093*c_1100_1^19 - 13441712153985154607203/24556984756662268154186*c_1100_1^18 - 139246957019997928295503/24556984756662268154186*c_1100_1^17 - 161981810665880847972941/24556984756662268154186*c_1100_1^16 - 312302610638012643916354/12278492378331134077093*c_1100_1^15 - 423086584019955842345071/24556984756662268154186*c_1100_1^14 - 18091276820657778775915/1444528515097780479658*c_1100_1^13 - 870201543248378159905649/24556984756662268154186*c_1100_1^12 - 781901835504855673200381/12278492378331134077093*c_1100_1^11 - 609783834370022962882695/24556984756662268154186*c_1100_1^10 - 666522798920781433460578/12278492378331134077093*c_1100_1^9 - 522639603174048929338767/24556984756662268154186*c_1100_1^8 - 322955179763524771989377/12278492378331134077093*c_1100_1^7 - 313716986277867897463797/24556984756662268154186*c_1100_1^6 + 173826716098261720124761/24556984756662268154186*c_1100_1^5 - 48969868834299681550503/24556984756662268154186*c_1100_1^4 - 64742485917802933020966/12278492378331134077093*c_1100_1^3 - 199500730471099223023929/24556984756662268154186*c_1100_1^2 - 113984472186473246404329/24556984756662268154186*c_1100_1 - 651276843967681031579/24556984756662268154186, c_0011_4 + 10890557467019444207415/24556984756662268154186*c_1100_1^19 + 9644995705338629214679/12278492378331134077093*c_1100_1^18 + 96017492072451945823876/12278492378331134077093*c_1100_1^17 + 119702101470014951499527/12278492378331134077093*c_1100_1^16 + 889130830945511012819427/24556984756662268154186*c_1100_1^15 + 668697878946966183694737/24556984756662268154186*c_1100_1^14 + 16144721418780722225015/722264257548890239829*c_1100_1^13 + 617032764232672371675679/12278492378331134077093*c_1100_1^12 + 1109925899318971951928255/12278492378331134077093*c_1100_1^11 + 1157473249417029532162319/24556984756662268154186*c_1100_1^10 + 1029679643038742001085764/12278492378331134077093*c_1100_1^9 + 404250141687785771793107/12278492378331134077093*c_1100_1^8 + 533214814249805418909529/12278492378331134077093*c_1100_1^7 + 511640038834360681693121/24556984756662268154186*c_1100_1^6 - 109901427322247542199954/12278492378331134077093*c_1100_1^5 + 102529457317752505899341/24556984756662268154186*c_1100_1^4 + 95718465332067395810603/24556984756662268154186*c_1100_1^3 + 283917017812421255005513/24556984756662268154186*c_1100_1^2 + 194519251315399327857655/24556984756662268154186*c_1100_1 - 8826048207520151086917/24556984756662268154186, c_0011_5 + 493598392638577942613/12278492378331134077093*c_1100_1^19 + 544966109016846672380/12278492378331134077093*c_1100_1^18 + 17312100389241190604009/24556984756662268154186*c_1100_1^17 + 11689904594510825852129/24556984756662268154186*c_1100_1^16 + 83886404619288857835955/24556984756662268154186*c_1100_1^15 + 24704380012973646538275/24556984756662268154186*c_1100_1^14 + 4756871116398394433655/1444528515097780479658*c_1100_1^13 + 58532047260768990201757/12278492378331134077093*c_1100_1^12 + 127646818470540882271347/24556984756662268154186*c_1100_1^11 + 81713238097639386668081/24556984756662268154186*c_1100_1^10 + 153707658426165821118249/12278492378331134077093*c_1100_1^9 - 33001956474690577628846/12278492378331134077093*c_1100_1^8 + 70640164539969135914566/12278492378331134077093*c_1100_1^7 + 62671480943966426131789/24556984756662268154186*c_1100_1^6 - 22929390869592689442896/12278492378331134077093*c_1100_1^5 + 22018843470318169815637/12278492378331134077093*c_1100_1^4 - 48138269677104360313165/24556984756662268154186*c_1100_1^3 + 3236311555754133734612/12278492378331134077093*c_1100_1^2 + 23346175083827594134775/24556984756662268154186*c_1100_1 - 1245561761680814992736/12278492378331134077093, c_0011_8 - 2015695879921295605933/24556984756662268154186*c_1100_1^19 - 1775755358577066221920/12278492378331134077093*c_1100_1^18 - 17487475272500323009232/12278492378331134077093*c_1100_1^17 - 43845922464884128194457/24556984756662268154186*c_1100_1^16 - 155713570426729179638289/24556984756662268154186*c_1100_1^15 - 62015956731988559209624/12278492378331134077093*c_1100_1^14 - 1970421926284165528394/722264257548890239829*c_1100_1^13 - 251529656488931510378003/24556984756662268154186*c_1100_1^12 - 399379911430441556932933/24556984756662268154186*c_1100_1^11 - 167271783669925114116861/24556984756662268154186*c_1100_1^10 - 357533628704756774792711/24556984756662268154186*c_1100_1^9 - 213048011025644530668313/24556984756662268154186*c_1100_1^8 - 89257834614713862144143/24556984756662268154186*c_1100_1^7 - 93376408418801656184287/12278492378331134077093*c_1100_1^6 + 34176514691795264931750/12278492378331134077093*c_1100_1^5 - 49359244975295954437533/24556984756662268154186*c_1100_1^4 - 50178374506117485063063/24556984756662268154186*c_1100_1^3 - 12718907093328719017724/12278492378331134077093*c_1100_1^2 - 24013324274996767457563/12278492378331134077093*c_1100_1 - 3832363645648984807515/24556984756662268154186, c_0101_0 + 3392999566514588476382/12278492378331134077093*c_1100_1^19 + 11734649605351745785637/24556984756662268154186*c_1100_1^18 + 59276396297410117039730/12278492378331134077093*c_1100_1^17 + 143051961698784080481605/24556984756662268154186*c_1100_1^16 + 536974303543111429953757/24556984756662268154186*c_1100_1^15 + 379364516037640646486169/24556984756662268154186*c_1100_1^14 + 8018461277831429694140/722264257548890239829*c_1100_1^13 + 355949271765453940575450/12278492378331134077093*c_1100_1^12 + 655510536459553861220739/12278492378331134077093*c_1100_1^11 + 292667849658802959665544/12278492378331134077093*c_1100_1^10 + 1132899382364096701577605/24556984756662268154186*c_1100_1^9 + 183345727750886137634661/12278492378331134077093*c_1100_1^8 + 493462881030978474590613/24556984756662268154186*c_1100_1^7 + 248618949279652850725493/24556984756662268154186*c_1100_1^6 - 188421344566621977971863/24556984756662268154186*c_1100_1^5 + 17344399939436735147935/24556984756662268154186*c_1100_1^4 + 66260924995484301673065/24556984756662268154186*c_1100_1^3 + 87214059044846904337560/12278492378331134077093*c_1100_1^2 + 138461983925489702711267/24556984756662268154186*c_1100_1 - 6969871990007590660805/24556984756662268154186, c_0101_1 - 1345662959229327582866/12278492378331134077093*c_1100_1^19 - 2175839988208206314299/12278492378331134077093*c_1100_1^18 - 46190779075268640231313/24556984756662268154186*c_1100_1^17 - 25285231257496795623521/12278492378331134077093*c_1100_1^16 - 100326629305346538605393/12278492378331134077093*c_1100_1^15 - 57147939205950099003396/12278492378331134077093*c_1100_1^14 - 1761113228455259066995/722264257548890239829*c_1100_1^13 - 231398265617708817201145/24556984756662268154186*c_1100_1^12 - 457513078448687920774413/24556984756662268154186*c_1100_1^11 - 75891477811436422316038/12278492378331134077093*c_1100_1^10 - 319126788452829306145427/24556984756662268154186*c_1100_1^9 + 1556381408296358446327/12278492378331134077093*c_1100_1^8 - 65249821855165397268778/12278492378331134077093*c_1100_1^7 - 41661160609373264321403/24556984756662268154186*c_1100_1^6 + 161138908813676120153397/24556984756662268154186*c_1100_1^5 - 14315869303398314563606/12278492378331134077093*c_1100_1^4 - 3384712190404691518545/24556984756662268154186*c_1100_1^3 - 96271514701040464518609/24556984756662268154186*c_1100_1^2 - 42486830174847564625037/24556984756662268154186*c_1100_1 + 26178281881479330200041/24556984756662268154186, c_0101_10 + 4183237395390454790651/24556984756662268154186*c_1100_1^19 + 3290670800367391578648/12278492378331134077093*c_1100_1^18 + 71956442669590684051293/24556984756662268154186*c_1100_1^17 + 77744805634982667233725/24556984756662268154186*c_1100_1^16 + 159140965949056100763094/12278492378331134077093*c_1100_1^15 + 98779884147147322106293/12278492378331134077093*c_1100_1^14 + 8238212262832615966127/1444528515097780479658*c_1100_1^13 + 235349450866466545501806/12278492378331134077093*c_1100_1^12 + 741536076254775742779447/24556984756662268154186*c_1100_1^11 + 112844650796424893544703/12278492378331134077093*c_1100_1^10 + 366490868384886358340351/12278492378331134077093*c_1100_1^9 + 121233534115437867160454/12278492378331134077093*c_1100_1^8 + 102756048186475496602530/12278492378331134077093*c_1100_1^7 + 101574012157191072377630/12278492378331134077093*c_1100_1^6 - 69725737866161148210680/12278492378331134077093*c_1100_1^5 + 42540291479487402189313/24556984756662268154186*c_1100_1^4 + 32602865910642532540272/12278492378331134077093*c_1100_1^3 + 63789955793432780309025/24556984756662268154186*c_1100_1^2 + 37222545641867711832685/12278492378331134077093*c_1100_1 + 1052364955804347723853/24556984756662268154186, c_0101_2 - 4632070897220953432799/24556984756662268154186*c_1100_1^19 - 4298750073290257653452/12278492378331134077093*c_1100_1^18 - 40889746241778587627430/12278492378331134077093*c_1100_1^17 - 54214153692623259364107/12278492378331134077093*c_1100_1^16 - 377267372462054164037579/24556984756662268154186*c_1100_1^15 - 315552438499765778719167/24556984756662268154186*c_1100_1^14 - 6439526983756943342563/722264257548890239829*c_1100_1^13 - 279370048879828790406975/12278492378331134077093*c_1100_1^12 - 488089551019392577442547/12278492378331134077093*c_1100_1^11 - 517254424512917491488423/24556984756662268154186*c_1100_1^10 - 434338972352974216670689/12278492378331134077093*c_1100_1^9 - 235746953213518680488544/12278492378331134077093*c_1100_1^8 - 184428860638850435238861/12278492378331134077093*c_1100_1^7 - 326503155815541851028519/24556984756662268154186*c_1100_1^6 + 53228055977757362833585/12278492378331134077093*c_1100_1^5 - 26852474386932840377721/24556984756662268154186*c_1100_1^4 - 69538975075598314626099/24556984756662268154186*c_1100_1^3 - 121252965446712572352363/24556984756662268154186*c_1100_1^2 - 99484849727812044974749/24556984756662268154186*c_1100_1 + 2566701756324090936305/24556984756662268154186, c_1100_1^20 + 2*c_1100_1^19 + 18*c_1100_1^18 + 26*c_1100_1^17 + 86*c_1100_1^16 + 80*c_1100_1^15 + 61*c_1100_1^14 + 125*c_1100_1^13 + 225*c_1100_1^12 + 147*c_1100_1^11 + 211*c_1100_1^10 + 115*c_1100_1^9 + 96*c_1100_1^8 + 75*c_1100_1^7 - 16*c_1100_1^6 + 13*c_1100_1^4 + 25*c_1100_1^3 + 28*c_1100_1^2 + 5*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB