Magma V2.19-8 Wed Aug 21 2013 01:04:29 on localhost [Seed = 3481917320] Type ? for help. Type -D to quit. Loading file "L14n24289__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24289 geometric_solution 11.46843352 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 1023 1 1 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 0 -1 1 -1 0 0 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 0 4 5 0 0132 0132 0132 1023 1 1 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 0 1 -1 1 0 0 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 6 0 5 4 0132 0132 1023 1023 1 1 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 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 5 7 4 0 0132 0132 1023 0132 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 -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 0.293502378844 0.597611581642 8 1 3 2 0132 0132 1023 1023 1 1 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648017408864 1.040209980427 3 9 2 1 0132 0132 1023 0132 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 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 0.293502378844 0.597611581642 2 8 10 11 0132 0132 0132 0132 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 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 0.293502378844 0.597611581642 12 3 10 11 0132 0132 0213 0321 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 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 0.837335451311 0.468971516678 4 6 10 11 0132 0132 1023 1023 1 1 0 0 0 0 1 -1 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 1 5 -6 0 0 0 0 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293502378844 0.597611581642 12 5 10 11 2310 0132 1302 1230 1 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 0 -1 -5 6 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837335451311 0.468971516678 9 7 8 6 2031 0213 1023 0132 1 1 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 1 0 -1 5 0 -5 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.484147837496 0.492442482800 9 7 6 8 3012 0321 0132 1023 1 1 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 -6 0 0 6 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.443355641165 3.236446365041 7 12 9 12 0132 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.188326197266 0.853333165660 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0101_10'], 's_3_11' : 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_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : 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_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1100_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['c_0011_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_4'], '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' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_8, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 12089068023666679770215/82458906297182898712413184*c_1100_10^10 - 17143538674542980029013/10307363287147862339051648*c_1100_10^9 - 927348732390185193565843/82458906297182898712413184*c_1100_10^8 + 3925779034160591305041781/41229453148591449356206592*c_1100_10^7 + 10188887608236829705956615/82458906297182898712413184*c_1100_10^6 - 249251805977686152911313/82458906297182898712413184*c_1100_10^5 + 1230723363912608998169371/5889921878370207050886656*c_1100_10^4 + 6263984270810158533062377/82458906297182898712413184*c_1100_10^3 - 823926629358300680828129/3748132104417404486927872*c_1100_10^2 - 764188961335344202663913/10307363287147862339051648*c_1100_10 - 1049141915743805504472119/2576840821786965584762912, c_0011_0 - 1, c_0011_10 + 1192354248244874765/135350718778614924416*c_1100_10^10 - 8384891217099846271/67675359389307462208*c_1100_10^9 - 48078045404468130165/135350718778614924416*c_1100_10^8 + 234187323036292450897/33837679694653731104*c_1100_10^7 - 1457082072110866112291/135350718778614924416*c_1100_10^6 + 2163802142701092616079/135350718778614924416*c_1100_10^5 - 312775764053212314771/33837679694653731104*c_1100_10^4 + 418390325697364290435/135350718778614924416*c_1100_10^3 - 105375643857641653695/33837679694653731104*c_1100_10^2 + 25934447815024553815/16918839847326865552*c_1100_10 - 2123089777114432673/4229709961831716388, c_0011_11 - 1927679633146343469/135350718778614924416*c_1100_10^10 + 13560594621525224527/67675359389307462208*c_1100_10^9 + 77145900981479372885/135350718778614924416*c_1100_10^8 - 377240213352575840809/33837679694653731104*c_1100_10^7 + 2387105621201369328899/135350718778614924416*c_1100_10^6 - 3839299212061267979535/135350718778614924416*c_1100_10^5 + 563392122938050833787/33837679694653731104*c_1100_10^4 - 1232328918236173204323/135350718778614924416*c_1100_10^3 + 183077730387593113287/33837679694653731104*c_1100_10^2 - 98766532652841081351/16918839847326865552*c_1100_10 + 6401501815593625681/4229709961831716388, c_0011_12 + 21265682369881441/135350718778614924416*c_1100_10^10 - 314026418348269085/67675359389307462208*c_1100_10^9 + 3470351380640177855/135350718778614924416*c_1100_10^8 + 4256732815224482187/16918839847326865552*c_1100_10^7 - 270666076287594254127/135350718778614924416*c_1100_10^6 + 210500417671975492327/135350718778614924416*c_1100_10^5 - 43796775874890489643/16918839847326865552*c_1100_10^4 - 30905211798393060977/135350718778614924416*c_1100_10^3 - 641590206620098933/16918839847326865552*c_1100_10^2 + 6563107268711486191/16918839847326865552*c_1100_10 + 519142533373638957/1057427490457929097, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - 30814182839058351/16918839847326865552*c_1100_10^10 + 113621807726891693/4229709961831716388*c_1100_10^9 + 932536106339343403/16918839847326865552*c_1100_10^8 - 12443417685916379491/8459419923663432776*c_1100_10^7 + 54953409362564507625/16918839847326865552*c_1100_10^6 - 91746063577117205579/16918839847326865552*c_1100_10^5 + 38058898074003451649/8459419923663432776*c_1100_10^4 - 30273798075109799337/16918839847326865552*c_1100_10^3 + 3595430451382655749/8459419923663432776*c_1100_10^2 + 14685696189914028/1057427490457929097*c_1100_10 + 538231591941695738/1057427490457929097, c_0101_11 - 69844557581723333/16918839847326865552*c_1100_10^10 + 490079157132410639/8459419923663432776*c_1100_10^9 + 2860826076629569941/16918839847326865552*c_1100_10^8 - 13756364494639274461/4229709961831716388*c_1100_10^7 + 83632915145998860451/16918839847326865552*c_1100_10^6 - 110685745040719524775/16918839847326865552*c_1100_10^5 + 5239986181313886865/4229709961831716388*c_1100_10^4 + 19831547945368324621/16918839847326865552*c_1100_10^3 - 7727313154172544997/4229709961831716388*c_1100_10^2 - 732169889900580831/1057427490457929097*c_1100_10 - 267382725704271729/1057427490457929097, c_0101_4 - 69844557581723333/16918839847326865552*c_1100_10^10 + 490079157132410639/8459419923663432776*c_1100_10^9 + 2860826076629569941/16918839847326865552*c_1100_10^8 - 13756364494639274461/4229709961831716388*c_1100_10^7 + 83632915145998860451/16918839847326865552*c_1100_10^6 - 110685745040719524775/16918839847326865552*c_1100_10^5 + 5239986181313886865/4229709961831716388*c_1100_10^4 + 19831547945368324621/16918839847326865552*c_1100_10^3 - 7727313154172544997/4229709961831716388*c_1100_10^2 - 732169889900580831/1057427490457929097*c_1100_10 - 267382725704271729/1057427490457929097, c_0101_6 - 49466072402245457/16918839847326865552*c_1100_10^10 + 334502080667850673/8459419923663432776*c_1100_10^9 + 2361446109362123721/16918839847326865552*c_1100_10^8 - 2355799799405178673/1057427490457929097*c_1100_10^7 + 40230472564798740183/16918839847326865552*c_1100_10^6 - 62457666051909889471/16918839847326865552*c_1100_10^5 - 1150248207975429561/2114854980915858194*c_1100_10^4 + 15140681588877896265/16918839847326865552*c_1100_10^3 - 734862979666361460/1057427490457929097*c_1100_10^2 - 226949462808522988/1057427490457929097*c_1100_10 + 134959346284515613/1057427490457929097, c_0101_8 - 49466072402245457/16918839847326865552*c_1100_10^10 + 334502080667850673/8459419923663432776*c_1100_10^9 + 2361446109362123721/16918839847326865552*c_1100_10^8 - 2355799799405178673/1057427490457929097*c_1100_10^7 + 40230472564798740183/16918839847326865552*c_1100_10^6 - 62457666051909889471/16918839847326865552*c_1100_10^5 - 1150248207975429561/2114854980915858194*c_1100_10^4 + 15140681588877896265/16918839847326865552*c_1100_10^3 - 734862979666361460/1057427490457929097*c_1100_10^2 - 226949462808522988/1057427490457929097*c_1100_10 + 134959346284515613/1057427490457929097, c_1100_0 - 49466072402245457/16918839847326865552*c_1100_10^10 + 334502080667850673/8459419923663432776*c_1100_10^9 + 2361446109362123721/16918839847326865552*c_1100_10^8 - 2355799799405178673/1057427490457929097*c_1100_10^7 + 40230472564798740183/16918839847326865552*c_1100_10^6 - 62457666051909889471/16918839847326865552*c_1100_10^5 - 1150248207975429561/2114854980915858194*c_1100_10^4 + 15140681588877896265/16918839847326865552*c_1100_10^3 - 734862979666361460/1057427490457929097*c_1100_10^2 - 226949462808522988/1057427490457929097*c_1100_10 - 922468144173413484/1057427490457929097, c_1100_10^11 - 14*c_1100_10^10 - 41*c_1100_10^9 + 780*c_1100_10^8 - 1183*c_1100_10^7 + 1907*c_1100_10^6 - 1076*c_1100_10^5 + 543*c_1100_10^4 - 340*c_1100_10^3 + 232*c_1100_10^2 - 96*c_1100_10 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB