Magma V2.19-8 Tue Aug 20 2013 17:59:01 on localhost [Seed = 3684331352] Type ? for help. Type -D to quit. Loading file "10^2_19__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_19 geometric_solution 12.76261843 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 9 1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.239639573869 0.996681625678 0 3 4 5 0132 3120 2310 0132 1 0 0 0 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 0 1 0 0 0 0 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713892534593 1.496510554012 6 0 7 6 0132 0132 0132 2031 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 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 0.199627004422 1.057175778519 8 1 9 0 0132 3120 0132 0132 0 0 0 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 -10 0 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.320467669038 1.070146723391 7 1 0 9 1230 3201 0132 0132 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 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 -0.319002012074 0.463639786148 10 11 1 7 0132 0132 0132 3012 1 0 1 0 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 0 -1 1 0 0 0 0 0 1 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.004586947346 0.712130590425 2 2 12 10 0132 1302 0132 3012 1 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 0 0 0 0 0 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 0.827531828848 0.913349241682 12 4 5 2 2031 3012 1230 0132 0 1 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 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 0.272009348130 0.535355484625 3 11 13 11 0132 1302 0132 1230 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 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 1 0 0 -1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445049006692 0.768576903908 10 11 4 3 1230 1230 0132 0132 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 5 9 6 13 0132 3012 1230 3120 1 0 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 -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 0.874839527176 1.195307196215 8 5 9 8 3012 0132 3012 2031 1 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 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 -1 0 1 0 -1 -9 0 10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435774831672 0.974388048193 13 13 7 6 1302 3201 1302 0132 1 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 0 0 0 0 0 0 -1 1 0 1 0 -1 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 0.617517177844 0.855227662226 10 12 12 8 3120 2031 2310 0132 0 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 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 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 0.435774831672 0.974388048193 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_13' : negation(d['c_0101_6']), 'c_1001_12' : negation(d['c_0101_13']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0011_12'], 'c_1010_13' : d['c_0011_12'], 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0011_13']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_12'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0101_13']), 'c_1100_13' : d['c_0011_12'], 's_0_11' : d['1'], 's_3_13' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_9']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_13'], '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'], 'c_1100_12' : d['c_0011_9'], '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' : 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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_13'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : d['c_0101_0'], 'c_0110_12' : d['c_0101_6'], 'c_1010_4' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_13']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : negation(d['c_0101_13']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_13'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_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' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_13'], 'c_0110_7' : negation(d['c_0101_13']), 'c_0110_6' : negation(d['c_0101_13'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 110302418869/14239731199680*c_1100_0^17 + 59467795229/593322133320*c_1100_0^16 - 890915017219/1423973119968*c_1100_0^15 + 35218669916113/14239731199680*c_1100_0^14 - 98317811205251/14239731199680*c_1100_0^13 + 9728997720739/678082438080*c_1100_0^12 - 39695170703141/1779966399960*c_1100_0^11 + 24480726419243/1017123657120*c_1100_0^10 - 43920211077859/3559932799920*c_1100_0^9 - 2890864234759/222495799995*c_1100_0^8 + 3016850416442/74165266665*c_1100_0^7 - 6377364157181/118664426664*c_1100_0^6 + 15732098707265/355993279992*c_1100_0^5 - 1154700073181/50856182856*c_1100_0^4 + 1700498847212/222495799995*c_1100_0^3 - 3006869889187/889983199980*c_1100_0^2 + 303918323503/148330533330*c_1100_0 + 124207777234/222495799995, c_0011_0 - 1, c_0011_10 + 44271515/3988720224*c_1100_0^17 - 1039460549/9307013856*c_1100_0^16 + 15274288013/27921041568*c_1100_0^15 - 23542159219/13960520784*c_1100_0^14 + 25646519443/6980260392*c_1100_0^13 - 55537695155/9307013856*c_1100_0^12 + 48520121669/6980260392*c_1100_0^11 - 33502642205/6980260392*c_1100_0^10 + 6012468395/6980260392*c_1100_0^9 + 15596864795/6980260392*c_1100_0^8 - 418018813/581688366*c_1100_0^7 - 4928341561/1163376732*c_1100_0^6 + 1911240299/249295014*c_1100_0^5 - 12198428329/3490130196*c_1100_0^4 - 532364216/872532549*c_1100_0^3 + 1754933878/872532549*c_1100_0^2 + 629996362/290844183*c_1100_0 + 586684166/872532549, c_0011_12 - 4790545/6980260392*c_1100_0^17 - 3877351/4653506928*c_1100_0^16 + 676506163/13960520784*c_1100_0^15 - 9067678127/27921041568*c_1100_0^14 + 16681725947/13960520784*c_1100_0^13 - 27850120715/9307013856*c_1100_0^12 + 19419766309/3490130196*c_1100_0^11 - 107728621369/13960520784*c_1100_0^10 + 102958182499/13960520784*c_1100_0^9 - 8473468739/1994360112*c_1100_0^8 + 29919814/290844183*c_1100_0^7 + 1186501751/1163376732*c_1100_0^6 + 1510711996/872532549*c_1100_0^5 - 21808099279/3490130196*c_1100_0^4 + 4894019119/872532549*c_1100_0^3 - 550562569/249295014*c_1100_0^2 - 838661197/581688366*c_1100_0 - 2823182993/1745065098, c_0011_13 - 765873841/83763124704*c_1100_0^17 + 375259165/3988720224*c_1100_0^16 - 39478017217/83763124704*c_1100_0^15 + 62275337813/41881562352*c_1100_0^14 - 69371008367/20940781176*c_1100_0^13 + 153544143961/27921041568*c_1100_0^12 - 138595053421/20940781176*c_1100_0^11 + 103724114197/20940781176*c_1100_0^10 - 29600378623/20940781176*c_1100_0^9 - 31993915831/20940781176*c_1100_0^8 + 1036400705/1745065098*c_1100_0^7 + 11647946759/3490130196*c_1100_0^6 - 34207841569/5235195294*c_1100_0^5 + 32606004749/10470390588*c_1100_0^4 + 174498304/2617597647*c_1100_0^3 - 2798394614/2617597647*c_1100_0^2 - 1995685154/872532549*c_1100_0 - 2963437474/2617597647, c_0011_3 - 2144953691/167526249408*c_1100_0^17 + 1821915173/13960520784*c_1100_0^16 - 15569094839/23932321344*c_1100_0^15 + 171721143031/83763124704*c_1100_0^14 - 48045587263/10470390588*c_1100_0^13 + 53890283095/6980260392*c_1100_0^12 - 803734011427/83763124704*c_1100_0^11 + 166164047527/20940781176*c_1100_0^10 - 11200317925/2991540168*c_1100_0^9 - 7367623999/20940781176*c_1100_0^8 - 1162546015/6980260392*c_1100_0^7 + 7204772635/1745065098*c_1100_0^6 - 20932761548/2617597647*c_1100_0^5 + 23371312201/5235195294*c_1100_0^4 - 2809139813/1495770084*c_1100_0^3 - 665431352/2617597647*c_1100_0^2 - 3154348763/872532549*c_1100_0 - 4066423960/2617597647, c_0011_4 + 7407333/775584488*c_1100_0^17 - 750141121/6204675904*c_1100_0^16 + 2271870803/3102337952*c_1100_0^15 - 2481332479/886382272*c_1100_0^14 + 11736888901/1551168976*c_1100_0^13 - 23849226383/1551168976*c_1100_0^12 + 4640770189/193896122*c_1100_0^11 - 42966998773/1551168976*c_1100_0^10 + 17143738379/775584488*c_1100_0^9 - 7606528761/775584488*c_1100_0^8 + 3207473/27699446*c_1100_0^7 - 2287095991/775584488*c_1100_0^6 + 2963450657/193896122*c_1100_0^5 - 2256002519/96948061*c_1100_0^4 + 3096332401/193896122*c_1100_0^3 - 957598765/193896122*c_1100_0^2 + 51912978/96948061*c_1100_0 - 494741015/96948061, c_0011_9 - 1180872493/41881562352*c_1100_0^17 + 2109418793/6980260392*c_1100_0^16 - 16620136465/10470390588*c_1100_0^15 + 55535764891/10470390588*c_1100_0^14 - 264837486559/20940781176*c_1100_0^13 + 2839017052/124647507*c_1100_0^12 - 1292676119323/41881562352*c_1100_0^11 + 21957132731/747885042*c_1100_0^10 - 91207674965/5235195294*c_1100_0^9 + 5954722976/2617597647*c_1100_0^8 + 1314567104/872532549*c_1100_0^7 + 8301751372/872532549*c_1100_0^6 - 134119256603/5235195294*c_1100_0^5 + 8684199112/373942521*c_1100_0^4 - 26747302378/2617597647*c_1100_0^3 - 1771590952/2617597647*c_1100_0^2 - 5184751204/872532549*c_1100_0 + 2210042776/2617597647, c_0101_0 + 22593101/2617597647*c_1100_0^17 - 1235779739/13960520784*c_1100_0^16 + 9279550381/20940781176*c_1100_0^15 - 8374319807/5983080336*c_1100_0^14 + 32707733707/10470390588*c_1100_0^13 - 9041027389/1745065098*c_1100_0^12 + 64771537925/10470390588*c_1100_0^11 - 47517063317/10470390588*c_1100_0^10 + 3175628648/2617597647*c_1100_0^9 + 3603586940/2617597647*c_1100_0^8 + 8641835/124647507*c_1100_0^7 - 15474058499/3490130196*c_1100_0^6 + 19107135494/2617597647*c_1100_0^5 - 8522733956/2617597647*c_1100_0^4 - 931661296/2617597647*c_1100_0^3 + 4003079468/2617597647*c_1100_0^2 + 1815494612/872532549*c_1100_0 - 384901193/2617597647, c_0101_1 + 1180872493/41881562352*c_1100_0^17 - 2109418793/6980260392*c_1100_0^16 + 16620136465/10470390588*c_1100_0^15 - 55535764891/10470390588*c_1100_0^14 + 264837486559/20940781176*c_1100_0^13 - 2839017052/124647507*c_1100_0^12 + 1292676119323/41881562352*c_1100_0^11 - 21957132731/747885042*c_1100_0^10 + 91207674965/5235195294*c_1100_0^9 - 5954722976/2617597647*c_1100_0^8 - 1314567104/872532549*c_1100_0^7 - 8301751372/872532549*c_1100_0^6 + 134119256603/5235195294*c_1100_0^5 - 8684199112/373942521*c_1100_0^4 + 26747302378/2617597647*c_1100_0^3 + 1771590952/2617597647*c_1100_0^2 + 5184751204/872532549*c_1100_0 - 2210042776/2617597647, c_0101_10 - 3409652873/83763124704*c_1100_0^17 + 11591198417/27921041568*c_1100_0^16 - 173497424465/83763124704*c_1100_0^15 + 547637743217/83763124704*c_1100_0^14 - 175382224411/11966160672*c_1100_0^13 + 343855386925/13960520784*c_1100_0^12 - 362573366129/11966160672*c_1100_0^11 + 504558257717/20940781176*c_1100_0^10 - 198312169253/20940781176*c_1100_0^9 - 86386509197/20940781176*c_1100_0^8 + 1684547635/1745065098*c_1100_0^7 + 13334914399/872532549*c_1100_0^6 - 305444129953/10470390588*c_1100_0^5 + 86065389377/5235195294*c_1100_0^4 - 25094589301/10470390588*c_1100_0^3 - 11778715714/2617597647*c_1100_0^2 - 1316782366/124647507*c_1100_0 - 7081864346/2617597647, c_0101_11 + 1, c_0101_13 + 935986795/27921041568*c_1100_0^17 - 3213388705/9307013856*c_1100_0^16 + 48496398343/27921041568*c_1100_0^15 - 22025015803/3988720224*c_1100_0^14 + 347403058199/27921041568*c_1100_0^13 - 97581040451/4653506928*c_1100_0^12 + 721085318557/27921041568*c_1100_0^11 - 142428873661/6980260392*c_1100_0^10 + 51393630829/6980260392*c_1100_0^9 + 32649827545/6980260392*c_1100_0^8 - 373373809/166196676*c_1100_0^7 - 3606438860/290844183*c_1100_0^6 + 88906654895/3490130196*c_1100_0^5 - 26653248109/1745065098*c_1100_0^4 + 6485596577/3490130196*c_1100_0^3 + 4400436686/872532549*c_1100_0^2 + 2129899754/290844183*c_1100_0 + 1664060866/872532549, c_0101_6 + 23857/1349973*c_1100_0^17 - 155111/899982*c_1100_0^16 + 17543965/21599568*c_1100_0^15 - 51173419/21599568*c_1100_0^14 + 102743507/21599568*c_1100_0^13 - 48879109/7199856*c_1100_0^12 + 32571865/5399892*c_1100_0^11 - 3826975/5399892*c_1100_0^10 - 28522583/5399892*c_1100_0^9 + 79877219/10799784*c_1100_0^8 - 1089025/899982*c_1100_0^7 - 6526913/899982*c_1100_0^6 + 13559665/1349973*c_1100_0^5 + 258527/1349973*c_1100_0^4 - 7648361/1349973*c_1100_0^3 + 6151345/1349973*c_1100_0^2 + 1852108/449991*c_1100_0 + 3948326/1349973, c_1100_0^18 - 10*c_1100_0^17 + 49*c_1100_0^16 - 152*c_1100_0^15 + 336*c_1100_0^14 - 560*c_1100_0^13 + 688*c_1100_0^12 - 560*c_1100_0^11 + 272*c_1100_0^10 + 80*c_1100_0^8 - 384*c_1100_0^7 + 640*c_1100_0^6 - 320*c_1100_0^5 + 128*c_1100_0^4 + 320*c_1100_0^2 + 128*c_1100_0 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB