Magma V2.19-8 Tue Aug 20 2013 23:38:45 on localhost [Seed = 172781123] Type ? for help. Type -D to quit. Loading file "K12n115__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n115 geometric_solution 10.16716355 oriented_manifold CS_known -0.0000000000000004 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 0.643168073090 0.376187612555 0 5 7 6 0132 0132 0132 0132 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 6 0 -6 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 0.688178710763 0.501489630635 8 0 5 9 0132 0132 1230 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 -1 0 0 0 0 0 1 0 0 -1 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595673989344 0.941676675745 10 8 7 0 0132 0213 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805037431408 0.788580638050 6 5 0 10 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 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 0.364382174642 1.160000372856 4 1 8 2 1230 0132 2310 3012 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 -6 0 6 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 0.701674958569 0.268273966432 4 9 1 10 0132 2310 0132 1023 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 -5 6 -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 0.740628709802 1.292440159376 10 9 3 1 1023 2031 1023 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 0.488401955444 1.005795826638 2 5 3 9 0132 3201 0213 0321 0 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 0 0 0 0 0 0 0 -5 0 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904948041079 0.931856959824 7 8 2 6 1302 0321 0132 3201 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 0 0 0 0 0 0 0 0 -5 0 5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565340595395 0.735624188174 3 7 4 6 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.421952555064 0.546747895517 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0101_1'], '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_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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_4'], 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1100_0']), '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_0011_4'], 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_5']), 'c_1010_8' : negation(d['c_1001_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' : 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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_4']), '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_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_9']), '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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0011_9']), '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_10']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], '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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 34284402732837382586999/3372841174109106162190*c_1100_0^13 + 448240409199440151139073/3372841174109106162190*c_1100_0^12 + 808196985461240886913209/1686420587054553081095*c_1100_0^11 - 26287668005418595627648/129724660542657929315*c_1100_0^10 - 292406372302824629918436/1686420587054553081095*c_1100_0^9 + 75752809252099255835218/240917226722079011585*c_1100_0^8 - 13514667747986635862077/18532094363236847045*c_1100_0^7 + 379398073085523955791521/1686420587054553081095*c_1100_0^6 + 1499816679876064546307821/3372841174109106162190*c_1100_0^5 - 296311151379490049544606/1686420587054553081095*c_1100_0^4 - 761654452793178511918636/1686420587054553081095*c_1100_0^3 + 238721822553048118463954/337284117410910616219*c_1100_0^2 - 1517201937943273539373397/3372841174109106162190*c_1100_0 + 39363376994010024060815/337284117410910616219, c_0011_0 - 1, c_0011_10 - 30107685954640/40811950104577*c_1100_0^13 + 382632148182953/40811950104577*c_1100_0^12 + 1559154536160719/40811950104577*c_1100_0^11 - 28042966643681/40811950104577*c_1100_0^10 - 526962612069386/40811950104577*c_1100_0^9 + 695928395955640/40811950104577*c_1100_0^8 - 1887523870217914/40811950104577*c_1100_0^7 + 93442936522927/40811950104577*c_1100_0^6 + 1383386367036194/40811950104577*c_1100_0^5 + 55985949440197/40811950104577*c_1100_0^4 - 1257552607282573/40811950104577*c_1100_0^3 + 1545560323015305/40811950104577*c_1100_0^2 - 792218545557399/40811950104577*c_1100_0 + 119114822390916/40811950104577, c_0011_4 + 406023644229/40811950104577*c_1100_0^13 - 18248067596668/40811950104577*c_1100_0^12 + 138575878950565/40811950104577*c_1100_0^11 + 758560820879380/40811950104577*c_1100_0^10 + 404244490406130/40811950104577*c_1100_0^9 + 73379003703068/40811950104577*c_1100_0^8 + 467256330424601/40811950104577*c_1100_0^7 - 593337778104392/40811950104577*c_1100_0^6 - 306185893354529/40811950104577*c_1100_0^5 + 292623914438645/40811950104577*c_1100_0^4 + 69228438314172/40811950104577*c_1100_0^3 - 533450746164569/40811950104577*c_1100_0^2 + 454299598345231/40811950104577*c_1100_0 - 111495727827839/40811950104577, c_0011_9 - 13273480032033/40811950104577*c_1100_0^13 + 161821077633674/40811950104577*c_1100_0^12 + 768351309813219/40811950104577*c_1100_0^11 + 417803613948276/40811950104577*c_1100_0^10 + 158523662369305/40811950104577*c_1100_0^9 + 543298452521883/40811950104577*c_1100_0^8 - 502399090415899/40811950104577*c_1100_0^7 - 167819591279995/40811950104577*c_1100_0^6 + 384335090870206/40811950104577*c_1100_0^5 + 56418008509718/40811950104577*c_1100_0^4 - 540802114257738/40811950104577*c_1100_0^3 + 443739510053378/40811950104577*c_1100_0^2 - 196111095232684/40811950104577*c_1100_0 + 39884343731912/40811950104577, c_0101_0 - 33269573683056/40811950104577*c_1100_0^13 + 420739182727454/40811950104577*c_1100_0^12 + 1747443913795744/40811950104577*c_1100_0^11 + 97977916343795/40811950104577*c_1100_0^10 - 463250097697964/40811950104577*c_1100_0^9 + 840322210309231/40811950104577*c_1100_0^8 - 2083815571240040/40811950104577*c_1100_0^7 - 159103070944878/40811950104577*c_1100_0^6 + 1288574791471639/40811950104577*c_1100_0^5 - 68531289855045/40811950104577*c_1100_0^4 - 1428893428980716/40811950104577*c_1100_0^3 + 1721341212721727/40811950104577*c_1100_0^2 - 779450620333831/40811950104577*c_1100_0 + 98638556425867/40811950104577, c_0101_1 + 31041686398597/40811950104577*c_1100_0^13 - 387626011270667/40811950104577*c_1100_0^12 - 1689639732366565/40811950104577*c_1100_0^11 - 391633602947696/40811950104577*c_1100_0^10 + 245531272599371/40811950104577*c_1100_0^9 - 734352756222900/40811950104577*c_1100_0^8 + 1856511246016772/40811950104577*c_1100_0^7 + 353278869698672/40811950104577*c_1100_0^6 - 1037827998720814/40811950104577*c_1100_0^5 - 133426260602331/40811950104577*c_1100_0^4 + 1224664255776116/40811950104577*c_1100_0^3 - 1420565889116509/40811950104577*c_1100_0^2 + 647943399929575/40811950104577*c_1100_0 - 97617321672583/40811950104577, c_0101_3 - 25038755184307/40811950104577*c_1100_0^13 + 312325454642730/40811950104577*c_1100_0^12 + 1365372831402854/40811950104577*c_1100_0^11 + 353788400446984/40811950104577*c_1100_0^10 - 65780485179256/40811950104577*c_1100_0^9 + 788353039095763/40811950104577*c_1100_0^8 - 1326893635021897/40811950104577*c_1100_0^7 - 176758173447540/40811950104577*c_1100_0^6 + 848116979944057/40811950104577*c_1100_0^5 + 24846674217354/40811950104577*c_1100_0^4 - 1048522338300763/40811950104577*c_1100_0^3 + 1168962081878588/40811950104577*c_1100_0^2 - 529976996686545/40811950104577*c_1100_0 + 73153917414968/40811950104577, c_0101_5 - 39207315560310/40811950104577*c_1100_0^13 + 486059116052323/40811950104577*c_1100_0^12 + 2174907156629381/40811950104577*c_1100_0^11 + 724710578819776/40811950104577*c_1100_0^10 - 40371503936510/40811950104577*c_1100_0^9 + 1169094767055519/40811950104577*c_1100_0^8 - 2105818956683108/40811950104577*c_1100_0^7 - 488813235757042/40811950104577*c_1100_0^6 + 1199888501733956/40811950104577*c_1100_0^5 + 134594564013376/40811950104577*c_1100_0^4 - 1483921805999916/40811950104577*c_1100_0^3 + 1680916214756906/40811950104577*c_1100_0^2 - 731460135756637/40811950104577*c_1100_0 + 101535081309574/40811950104577, c_1001_0 + 32699824133213/40811950104577*c_1100_0^13 - 401561915846819/40811950104577*c_1100_0^12 - 1856280519652251/40811950104577*c_1100_0^11 - 876342570741016/40811950104577*c_1100_0^10 - 347183352904124/40811950104577*c_1100_0^9 - 1219613614092404/40811950104577*c_1100_0^8 + 1557069282057320/40811950104577*c_1100_0^7 + 504211199633220/40811950104577*c_1100_0^6 - 713992397483533/40811950104577*c_1100_0^5 - 50358643850515/40811950104577*c_1100_0^4 + 1175919270107183/40811950104577*c_1100_0^3 - 1367382300652066/40811950104577*c_1100_0^2 + 578837835302813/40811950104577*c_1100_0 - 84865924085268/40811950104577, c_1001_5 - 13719363858625/40811950104577*c_1100_0^13 + 172565111633882/40811950104577*c_1100_0^12 + 734654879018241/40811950104577*c_1100_0^11 + 63816710730697/40811950104577*c_1100_0^10 - 337322004685416/40811950104577*c_1100_0^9 + 172984249256180/40811950104577*c_1100_0^8 - 907461014943464/40811950104577*c_1100_0^7 - 238290573832618/40811950104577*c_1100_0^6 + 547774134853872/40811950104577*c_1100_0^5 + 64274921645562/40811950104577*c_1100_0^4 - 656012578487132/40811950104577*c_1100_0^3 + 601877151225070/40811950104577*c_1100_0^2 - 235079084182556/40811950104577*c_1100_0 + 7745159706768/40811950104577, c_1100_0^14 - 13*c_1100_0^13 - 48*c_1100_0^12 + 15*c_1100_0^11 + 12*c_1100_0^10 - 32*c_1100_0^9 + 70*c_1100_0^8 - 20*c_1100_0^7 - 39*c_1100_0^6 + 16*c_1100_0^5 + 42*c_1100_0^4 - 67*c_1100_0^3 + 44*c_1100_0^2 - 13*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB