Magma V2.19-8 Tue Aug 20 2013 23:52:56 on localhost [Seed = 2160520004] Type ? for help. Type -D to quit. Loading file "L13n4462__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4462 geometric_solution 10.99298291 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 -1 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 1.057900927250 0.525674821961 0 5 6 2 0132 0132 0132 2310 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.004868568672 0.429291988107 1 0 7 6 3201 0132 0132 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628687381930 0.611505265166 7 5 5 0 0213 0321 3201 0132 1 1 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 0 0 0 0 0 -2 1 1 -1 0 2 -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 0.668632984351 0.457317761525 8 9 0 9 0132 0132 0132 1302 1 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 0 0 0 0 0 0 0 1 -1 0 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 0.369233878601 0.884372876629 3 1 10 3 2310 0132 0132 0321 1 0 1 1 0 0 1 -1 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 0 -2 2 1 0 -1 0 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668632984351 0.457317761525 10 2 9 1 1302 0321 1302 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 0 0 1 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 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731438781183 0.722559390784 3 11 11 2 0213 0132 1302 0132 1 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 0 0 0 0 0 0 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 0.059757511823 0.982931320627 4 10 11 10 0132 1023 2031 1302 0 1 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 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 0 0 0 0.240075068988 1.130193345312 6 4 4 11 2031 0132 2031 0132 1 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 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.235084351564 0.554768026471 8 6 8 5 1023 2031 2031 0132 1 0 1 1 0 1 0 -1 -1 0 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 -2 0 2 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 0.240075068988 1.130193345312 7 7 9 8 2031 0132 0132 1302 1 1 0 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 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938376843496 1.013618685852 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : 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_10'], 's_2_0' : negation(d['1']), 's_2_1' : 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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : 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_0101_8'], 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], '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' : negation(d['c_0011_11']), '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_1'], '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_6']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_8, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6003981449251792599993675088700/7313147513205326335998016093287*c_1\ 001_11^11 + 9960331293986459642155690630838/73131475132053263359980\ 16093287*c_1001_11^10 + 179135911530057694195872588041/116081706558\ 814703746000255449*c_1001_11^9 + 2078421987460032906364116485708/43\ 0185147835607431529295064311*c_1001_11^8 + 30922132069740119473999609149697/7313147513205326335998016093287*c_\ 1001_11^7 + 9131171716704191692400947633244/10447353590293323337140\ 02299041*c_1001_11^6 + 1224985564532418986529194540947/430185147835\ 607431529295064311*c_1001_11^5 + 25077401369693030920584967065308/7\ 313147513205326335998016093287*c_1001_11^4 + 39397804112048018882028965654944/2437715837735108778666005364429*c_\ 1001_11^3 - 49176811212630545050074604343017/2437715837735108778666\ 005364429*c_1001_11^2 + 1015468380652472121351550621432/61455021119\ 372490218470723473*c_1001_11 - 50859590381790360889086853931617/731\ 3147513205326335998016093287, c_0011_0 - 1, c_0011_10 - 1012213819853923525/6244966956516542957*c_1001_11^11 - 2822000188760368121/6244966956516542957*c_1001_11^10 - 4544349950847172951/6244966956516542957*c_1001_11^9 - 8726149414442485543/6244966956516542957*c_1001_11^8 - 12921430310677471694/6244966956516542957*c_1001_11^7 - 20059220308074330404/6244966956516542957*c_1001_11^6 - 18231447025031060170/6244966956516542957*c_1001_11^5 - 13822966347801864821/6244966956516542957*c_1001_11^4 - 22211322769093448052/6244966956516542957*c_1001_11^3 - 7535805594797079582/6244966956516542957*c_1001_11^2 - 2249290886166521643/6244966956516542957*c_1001_11 - 7367027698041988909/6244966956516542957, c_0011_11 + 1, c_0011_6 + 3773424801423995875/6244966956516542957*c_1001_11^11 + 4108752676534004235/6244966956516542957*c_1001_11^10 + 4808023943510046874/6244966956516542957*c_1001_11^9 + 19202598554462163811/6244966956516542957*c_1001_11^8 + 11369485955776874652/6244966956516542957*c_1001_11^7 + 33224630226610073851/6244966956516542957*c_1001_11^6 - 6796492320288886794/6244966956516542957*c_1001_11^5 + 21188290177148205068/6244966956516542957*c_1001_11^4 + 53096368468258011834/6244966956516542957*c_1001_11^3 - 104874611487725635891/6244966956516542957*c_1001_11^2 + 91039955373466073349/6244966956516542957*c_1001_11 - 48525411675111683976/6244966956516542957, c_0101_0 + 3094162161633326925/6244966956516542957*c_1001_11^11 + 4814983653315236787/6244966956516542957*c_1001_11^10 + 5921417203132612032/6244966956516542957*c_1001_11^9 + 18072093685112169594/6244966956516542957*c_1001_11^8 + 17178716390358815423/6244966956516542957*c_1001_11^7 + 34865853746706575777/6244966956516542957*c_1001_11^6 + 11338629360045725875/6244966956516542957*c_1001_11^5 + 22333307220882116575/6244966956516542957*c_1001_11^4 + 56063355734966287268/6244966956516542957*c_1001_11^3 - 58191256745340568846/6244966956516542957*c_1001_11^2 + 51881974302310125977/6244966956516542957*c_1001_11 - 11429377594398649760/6244966956516542957, c_0101_1 + 2111374826437734000/6244966956516542957*c_1001_11^11 + 4145117347155810135/6244966956516542957*c_1001_11^10 + 5866590933181232524/6244966956516542957*c_1001_11^9 + 14802467321106388301/6244966956516542957*c_1001_11^8 + 18666387585677847837/6244966956516542957*c_1001_11^7 + 33272566711740382660/6244966956516542957*c_1001_11^6 + 23227752979849206525/6244966956516542957*c_1001_11^5 + 27764722983811061420/6244966956516542957*c_1001_11^4 + 51802110031286417338/6244966956516542957*c_1001_11^3 - 11192088877582521690/6244966956516542957*c_1001_11^2 + 28836309754470974827/6244966956516542957*c_1001_11 + 6045859292856446797/6244966956516542957, c_0101_10 + 491020421479123400/6244966956516542957*c_1001_11^11 - 12276330167733609/6244966956516542957*c_1001_11^10 + 271855899479639563/6244966956516542957*c_1001_11^9 + 2710112476587420057/6244966956516542957*c_1001_11^8 + 1879176228015964817/6244966956516542957*c_1001_11^7 + 5780078029551311702/6244966956516542957*c_1001_11^6 + 121661545496409313/6244966956516542957*c_1001_11^5 + 10119475579712420536/6244966956516542957*c_1001_11^4 + 12143467964659309720/6244966956516542957*c_1001_11^3 - 14326345980633745220/6244966956516542957*c_1001_11^2 + 18413690350198453514/6244966956516542957*c_1001_11 - 6638029557552464938/6244966956516542957, c_0101_11 - 42874897791918150/6244966956516542957*c_1001_11^11 + 1436602668139990269/6244966956516542957*c_1001_11^10 + 2975320859192757883/6244966956516542957*c_1001_11^9 + 3401928023199753992/6244966956516542957*c_1001_11^8 + 7674809541525134404/6244966956516542957*c_1001_11^7 + 7984584353420565779/6244966956516542957*c_1001_11^6 + 15458130113583183247/6244966956516542957*c_1001_11^5 + 5933587209615583201/6244966956516542957*c_1001_11^4 + 4872965135569826065/6244966956516542957*c_1001_11^3 + 21949390586845527477/6244966956516542957*c_1001_11^2 - 22377886903614652828/6244966956516542957*c_1001_11 + 11444145854335263242/6244966956516542957, c_0101_5 - 918112003232422025/6244966956516542957*c_1001_11^11 + 312866861373153264/6244966956516542957*c_1001_11^10 + 1402360232196138815/6244966956516542957*c_1001_11^9 - 1513434909424594827/6244966956516542957*c_1001_11^8 + 6397446853109209563/6244966956516542957*c_1001_11^7 + 2633017764212736414/6244966956516542957*c_1001_11^6 + 21962018507664557687/6244966956516542957*c_1001_11^5 + 7593996664076983868/6244966956516542957*c_1001_11^4 + 1424956875141882335/6244966956516542957*c_1001_11^3 + 60669586475883757404/6244966956516542957*c_1001_11^2 - 35265456013314389531/6244966956516542957*c_1001_11 + 35135305023294474933/6244966956516542957, c_0101_8 + 174823222286356075/6244966956516542957*c_1001_11^11 + 596706195332681533/6244966956516542957*c_1001_11^10 + 734761144680122289/6244966956516542957*c_1001_11^9 + 1037786789064153217/6244966956516542957*c_1001_11^8 + 1491200382027603675/6244966956516542957*c_1001_11^7 + 2967596424021648329/6244966956516542957*c_1001_11^6 + 3102180515583068860/6244966956516542957*c_1001_11^5 + 405080115648212090/6244966956516542957*c_1001_11^4 + 1521723624959851272/6244966956516542957*c_1001_11^3 + 164242065306642119/6244966956516542957*c_1001_11^2 + 1026350596931053987/6244966956516542957*c_1001_11 - 2925120197622623396/6244966956516542957, c_1001_0 - 154960472744290650/6244966956516542957*c_1001_11^11 - 1096843993410152956/6244966956516542957*c_1001_11^10 - 1275318088242065260/6244966956516542957*c_1001_11^9 - 1641214489142160469/6244966956516542957*c_1001_11^8 - 4849845899259682500/6244966956516542957*c_1001_11^7 - 4722265310274818638/6244966956516542957*c_1001_11^6 - 8264150560057998875/6244966956516542957*c_1001_11^5 - 1355645609237366971/6244966956516542957*c_1001_11^4 - 7032221894978625867/6244966956516542957*c_1001_11^3 - 12324957188141748001/6244966956516542957*c_1001_11^2 + 16709093645920627915/6244966956516542957*c_1001_11 - 13154926190116102024/6244966956516542957, c_1001_11^12 + 31/25*c_1001_11^11 + 48/25*c_1001_11^10 + 149/25*c_1001_11^9 + 116/25*c_1001_11^8 + 313/25*c_1001_11^7 + 82/25*c_1001_11^6 + 316/25*c_1001_11^5 + 477/25*c_1001_11^4 - 93/5*c_1001_11^3 + 838/25*c_1001_11^2 - 386/25*c_1001_11 + 219/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB