Magma V2.19-8 Wed Aug 21 2013 00:54:53 on localhost [Seed = 1511800858] Type ? for help. Type -D to quit. Loading file "L12n715__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n715 geometric_solution 11.85143333 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 -1 1 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 -1 1 0 7 0 -6 -1 -7 7 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764240162164 0.573178972805 0 5 6 5 0132 0132 0132 0213 1 1 1 1 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 0 -1 1 -7 0 0 7 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771753340816 0.657766156719 7 0 9 8 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 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 6 0 -6 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664878274568 0.801010408138 10 11 8 0 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 -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 1 0 -1 -6 0 0 6 6 0 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320175479994 0.701733358301 6 11 0 9 0132 0321 0132 0132 0 1 1 1 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 -1 0 1 0 0 1 -1 -1 1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664878274568 0.801010408138 10 1 7 1 2310 0132 1230 0213 1 1 1 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 1 -1 0 0 0 0 0 7 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771753340816 0.657766156719 4 10 8 1 0132 2310 2103 0132 1 1 1 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 0 0 0 0 -1 0 1 0 0 0 0 -6 6 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519257920709 0.150983954626 2 11 9 5 0132 3012 2103 3012 1 1 1 1 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 6 -7 1 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 1.242515924188 0.714993679212 6 12 2 3 2103 0132 0132 0132 0 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212787168281 0.945044101424 7 12 4 2 2103 0213 0132 0132 0 1 1 1 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 1 -1 0 -1 0 1 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230410950908 1.272100037111 3 12 5 6 0132 2031 3201 3201 1 1 1 1 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 0 -1 1 6 0 0 -6 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938653240603 0.961557457817 7 3 12 4 1230 0132 0132 0321 0 1 1 1 0 1 0 -1 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 -1 0 1 0 0 -6 6 0 1 0 -1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643750348690 1.060790253690 10 8 9 11 1302 0132 0213 0132 0 1 1 1 0 0 0 0 -1 0 0 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 1 -1 0 -6 0 0 6 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686293081326 0.817546727941 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : 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'], 'c_1100_12' : d['c_1001_2'], '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_10']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_0'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_1001_0, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 12733880716566496/2440982538245*c_1100_0^15 + 6321098978011880/488196507649*c_1100_0^14 + 30192616418498938/2440982538245*c_1100_0^13 - 109649816983808356/2440982538245*c_1100_0^12 - 73350430075577809/2440982538245*c_1100_0^11 + 259824319688365583/2440982538245*c_1100_0^10 + 89184971279265234/2440982538245*c_1100_0^9 - 79750861209744415/488196507649*c_1100_0^8 - 681048319026788/488196507649*c_1100_0^7 + 73717766170377598/488196507649*c_1100_0^6 - 107441231150999741/2440982538245*c_1100_0^5 - 34726005978415017/488196507649*c_1100_0^4 + 19689398797623563/488196507649*c_1100_0^3 + 24224967049652716/2440982538245*c_1100_0^2 - 5615613232539930/488196507649*c_1100_0 + 1086977687278595/488196507649, c_0011_0 - 1, c_0011_10 - 46110905030432/2440982538245*c_1100_0^15 + 82138818234136/2440982538245*c_1100_0^14 + 201206355430734/2440982538245*c_1100_0^13 - 66110915476814/488196507649*c_1100_0^12 - 596533910436741/2440982538245*c_1100_0^11 + 771292831114883/2440982538245*c_1100_0^10 + 1135531934210712/2440982538245*c_1100_0^9 - 1218582743195808/2440982538245*c_1100_0^8 - 1277773769705112/2440982538245*c_1100_0^7 + 256063077009106/488196507649*c_1100_0^6 + 796958947012568/2440982538245*c_1100_0^5 - 833819166355659/2440982538245*c_1100_0^4 - 240174018694647/2440982538245*c_1100_0^3 + 288859932686092/2440982538245*c_1100_0^2 + 25848331763249/2440982538245*c_1100_0 - 35555622044393/2440982538245, c_0011_12 - 52774812031024/2440982538245*c_1100_0^15 + 47612268079972/2440982538245*c_1100_0^14 + 283710598463613/2440982538245*c_1100_0^13 - 32900460122453/488196507649*c_1100_0^12 - 852688587305532/2440982538245*c_1100_0^11 + 273579722500111/2440982538245*c_1100_0^10 + 1605348064279894/2440982538245*c_1100_0^9 - 341918751068901/2440982538245*c_1100_0^8 - 1863515191900439/2440982538245*c_1100_0^7 + 82099095730353/488196507649*c_1100_0^6 + 1326412805387986/2440982538245*c_1100_0^5 - 372164368495658/2440982538245*c_1100_0^4 - 540480984622339/2440982538245*c_1100_0^3 + 182756894574254/2440982538245*c_1100_0^2 + 97957565775728/2440982538245*c_1100_0 - 36218062507861/2440982538245, c_0101_0 - 39764604690512/2440982538245*c_1100_0^15 + 39391600727276/2440982538245*c_1100_0^14 + 219829466647239/2440982538245*c_1100_0^13 - 31273864145776/488196507649*c_1100_0^12 - 670373949442311/2440982538245*c_1100_0^11 + 307394965347113/2440982538245*c_1100_0^10 + 1300950381331902/2440982538245*c_1100_0^9 - 451132153369013/2440982538245*c_1100_0^8 - 1568239855010762/2440982538245*c_1100_0^7 + 110387042738152/488196507649*c_1100_0^6 + 1146234078244713/2440982538245*c_1100_0^5 - 478492964423099/2440982538245*c_1100_0^4 - 467284253851677/2440982538245*c_1100_0^3 + 234139278417877/2440982538245*c_1100_0^2 + 83131736130664/2440982538245*c_1100_0 - 45965768583173/2440982538245, c_0101_1 + 16/5*c_1100_0^15 - 28/5*c_1100_0^14 - 67/5*c_1100_0^13 + 22*c_1100_0^12 + 193/5*c_1100_0^11 - 259/5*c_1100_0^10 - 351/5*c_1100_0^9 + 419/5*c_1100_0^8 + 371/5*c_1100_0^7 - 92*c_1100_0^6 - 204/5*c_1100_0^5 + 317/5*c_1100_0^4 + 36/5*c_1100_0^3 - 121/5*c_1100_0^2 + 13/5*c_1100_0 + 19/5, c_0101_11 - 12557441301776/2440982538245*c_1100_0^15 - 11954003646212/2440982538245*c_1100_0^14 + 112066001872907/2440982538245*c_1100_0^13 + 8425509551152/488196507649*c_1100_0^12 - 354695537635208/2440982538245*c_1100_0^11 - 161916267230981/2440982538245*c_1100_0^10 + 715867569456261/2440982538245*c_1100_0^9 + 291290533303806/2440982538245*c_1100_0^8 - 929426267522466/2440982538245*c_1100_0^7 - 43164142886605/488196507649*c_1100_0^6 + 762253203255804/2440982538245*c_1100_0^5 + 9325670960588/2440982538245*c_1100_0^4 - 360241909197531/2440982538245*c_1100_0^3 + 58472718176316/2440982538245*c_1100_0^2 + 72380840066362/2440982538245*c_1100_0 - 17657737037714/2440982538245, c_0101_2 + 52257580261424/2440982538245*c_1100_0^15 - 70977133979172/2440982538245*c_1100_0^14 - 234164049015293/2440982538245*c_1100_0^13 + 48907957041813/488196507649*c_1100_0^12 + 686016188147687/2440982538245*c_1100_0^11 - 505847616871716/2440982538245*c_1100_0^10 - 1235117742805804/2440982538245*c_1100_0^9 + 731549702260576/2440982538245*c_1100_0^8 + 1334880176223979/2440982538245*c_1100_0^7 - 153037260864347/488196507649*c_1100_0^6 - 849515306201726/2440982538245*c_1100_0^5 + 513749084220318/2440982538245*c_1100_0^4 + 302860679213704/2440982538245*c_1100_0^3 - 191389245932739/2440982538245*c_1100_0^2 - 47822264779538/2440982538245*c_1100_0 + 29947720183596/2440982538245, c_0101_3 - 35387949190432/2440982538245*c_1100_0^15 + 38960050121496/2440982538245*c_1100_0^14 + 169908599644334/2440982538245*c_1100_0^13 - 25970629190878/488196507649*c_1100_0^12 - 490747015937151/2440982538245*c_1100_0^11 + 237880641406903/2440982538245*c_1100_0^10 + 874697462431982/2440982538245*c_1100_0^9 - 322892344837473/2440982538245*c_1100_0^8 - 927802744649842/2440982538245*c_1100_0^7 + 69687842056486/488196507649*c_1100_0^6 + 568728976730073/2440982538245*c_1100_0^5 - 240559624337289/2440982538245*c_1100_0^4 - 179385560628477/2440982538245*c_1100_0^3 + 78677963824787/2440982538245*c_1100_0^2 + 20652717738419/2440982538245*c_1100_0 - 6247347333783/2440982538245, c_0101_6 - 65125371708672/2440982538245*c_1100_0^15 + 111502830665456/2440982538245*c_1100_0^14 + 246318218187964/2440982538245*c_1100_0^13 - 76483531722349/488196507649*c_1100_0^12 - 695693500117636/2440982538245*c_1100_0^11 + 840170757158703/2440982538245*c_1100_0^10 + 1178605611239562/2440982538245*c_1100_0^9 - 1245275489473163/2440982538245*c_1100_0^8 - 1115154640723422/2440982538245*c_1100_0^7 + 242047610034383/488196507649*c_1100_0^6 + 530370826110563/2440982538245*c_1100_0^5 - 681755296574569/2440982538245*c_1100_0^4 - 93058870629397/2440982538245*c_1100_0^3 + 183551136358507/2440982538245*c_1100_0^2 - 1000685867486/2440982538245*c_1100_0 - 11991415263168/2440982538245, c_1001_0 - 1, c_1001_12 - 4094726295664/488196507649*c_1100_0^15 + 3067086334116/488196507649*c_1100_0^14 + 22946215817645/488196507649*c_1100_0^13 - 11131825248852/488196507649*c_1100_0^12 - 68014392722017/488196507649*c_1100_0^11 + 17743415164163/488196507649*c_1100_0^10 + 127389136167093/488196507649*c_1100_0^9 - 24631506782442/488196507649*c_1100_0^8 - 147443825638841/488196507649*c_1100_0^7 + 36646231573714/488196507649*c_1100_0^6 + 104320844941829/488196507649*c_1100_0^5 - 37056224725100/488196507649*c_1100_0^4 - 40761740958856/488196507649*c_1100_0^3 + 18056309748389/488196507649*c_1100_0^2 + 6421631275369/488196507649*c_1100_0 - 3266098766339/488196507649, c_1001_2 - 493313964944/488196507649*c_1100_0^15 - 5278855168420/488196507649*c_1100_0^14 + 13063854377075/488196507649*c_1100_0^13 + 17976259223644/488196507649*c_1100_0^12 - 42809239475085/488196507649*c_1100_0^11 - 50016446123886/488196507649*c_1100_0^10 + 92039036429537/488196507649*c_1100_0^9 + 78987983154282/488196507649*c_1100_0^8 - 132423277290481/488196507649*c_1100_0^7 - 59995532635001/488196507649*c_1100_0^6 + 121708226080699/488196507649*c_1100_0^5 + 10694643143023/488196507649*c_1100_0^4 - 61791897437665/488196507649*c_1100_0^3 + 10382735729162/488196507649*c_1100_0^2 + 13068992728176/488196507649*c_1100_0 - 4070335731792/488196507649, c_1100_0^16 - 7/4*c_1100_0^15 - 67/16*c_1100_0^14 + 55/8*c_1100_0^13 + 193/16*c_1100_0^12 - 259/16*c_1100_0^11 - 351/16*c_1100_0^10 + 419/16*c_1100_0^9 + 371/16*c_1100_0^8 - 115/4*c_1100_0^7 - 51/4*c_1100_0^6 + 317/16*c_1100_0^5 + 9/4*c_1100_0^4 - 121/16*c_1100_0^3 + 13/16*c_1100_0^2 + 19/16*c_1100_0 - 5/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB