Magma V2.19-8 Tue Aug 20 2013 17:56:22 on localhost [Seed = 2699105424] Type ? for help. Type -D to quit. Loading file "11_38__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_38 geometric_solution 10.65032239 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 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 -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 1.177845549357 1.449738528625 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 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 -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 0.472535000884 0.778686991136 6 0 3 8 0321 0132 3201 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 0.657744601179 0.842877073955 2 9 10 0 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493568420227 0.649826225839 9 10 0 8 3201 2031 0132 0213 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 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 0.155284927419 0.729278214307 9 1 10 8 0213 0132 0213 1230 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 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429987712301 0.685140453377 2 7 1 9 0321 3120 0132 0132 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 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 0.545438656505 0.639484866018 8 6 10 1 1230 3120 3120 0132 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 -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 0.527070171555 0.758789805383 5 7 2 4 3012 3012 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.787201643977 0.901936952638 5 3 6 4 0213 0132 0132 2310 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 1 0 -1 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 0.409863834699 1.240248280439 4 5 7 3 1302 0213 3120 0132 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 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 0.528477179031 0.502209413381 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0110_4']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : negation(d['c_0011_4']), '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_10' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(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' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0011_6']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0011_0']})} 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_6, c_0011_7, c_0011_8, c_0101_0, c_0101_3, c_0101_7, c_0110_4, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 5772357218061451183686542511819/10989619707578727283351361536*c_100\ 1_10^13 - 3027857371400979379152214063735/1098961970757872728335136\ 1536*c_1001_10^12 - 1088079381236013160269306444079/274740492689468\ 1820837840384*c_1001_10^11 - 23074266924219085654258682787055/27474\ 04926894681820837840384*c_1001_10^10 + 110097142084110552258764122739389/10989619707578727283351361536*c_1\ 001_10^9 + 12985685787797983535720994125897/64644821809286631078537\ 4208*c_1001_10^8 - 41798393875804413752031366603377/137370246344734\ 0910418920192*c_1001_10^7 - 4722681752277056225504688938211/2747404\ 926894681820837840384*c_1001_10^6 + 77488581962245758194514046192703/5494809853789363641675680768*c_100\ 1_10^5 + 270811448803110550763552573149/686851231723670455209460096\ *c_1001_10^4 + 16203470145136078147328456563133/2747404926894681820\ 837840384*c_1001_10^3 - 116896450462470655581948349721401/549480985\ 3789363641675680768*c_1001_10^2 + 6451410109431894296743635202605/6\ 46448218092866310785374208*c_1001_10 + 17723693008555223092681767069249/10989619707578727283351361536, c_0011_0 - 1, c_0011_10 - 2772449625882372964/100942930601425448773*c_1001_10^13 - 17504005727873319353/201885861202850897546*c_1001_10^12 - 15462278905800811521/201885861202850897546*c_1001_10^11 + 75078736258357975603/201885861202850897546*c_1001_10^10 + 230746142299077391163/201885861202850897546*c_1001_10^9 - 56952591078974847516/100942930601425448773*c_1001_10^8 - 147728096428056987135/100942930601425448773*c_1001_10^7 - 222060360554444297529/201885861202850897546*c_1001_10^6 + 127512201300208622365/201885861202850897546*c_1001_10^5 + 143825439543905528384/100942930601425448773*c_1001_10^4 - 192556426956776899381/100942930601425448773*c_1001_10^3 - 4785935846425933741/100942930601425448773*c_1001_10^2 - 4854757672005082786/100942930601425448773*c_1001_10 + 31367007416695422718/100942930601425448773, c_0011_4 + 14512663278375956892/100942930601425448773*c_1001_10^13 + 36405520843254095857/201885861202850897546*c_1001_10^12 - 2459987301904995093/201885861202850897546*c_1001_10^11 - 238827892515145964453/100942930601425448773*c_1001_10^10 - 146959259845631649924/100942930601425448773*c_1001_10^9 + 1335015656750327621477/201885861202850897546*c_1001_10^8 + 364646443693240925593/201885861202850897546*c_1001_10^7 - 977908541571363080779/201885861202850897546*c_1001_10^6 - 104992645637404233401/201885861202850897546*c_1001_10^5 + 179688109277934650015/201885861202850897546*c_1001_10^4 + 504877590826221293939/201885861202850897546*c_1001_10^3 - 162898750650242572460/100942930601425448773*c_1001_10^2 - 155334295026383538895/100942930601425448773*c_1001_10 - 78731257805666059810/100942930601425448773, c_0011_6 - 10001697495771870922/100942930601425448773*c_1001_10^13 - 3321799806041137829/100942930601425448773*c_1001_10^12 + 2423129664140167129/201885861202850897546*c_1001_10^11 + 329410485825708296457/201885861202850897546*c_1001_10^10 - 107143259924138077127/201885861202850897546*c_1001_10^9 - 725673005302838480159/201885861202850897546*c_1001_10^8 + 161630415060202263847/100942930601425448773*c_1001_10^7 + 169371490788320833424/100942930601425448773*c_1001_10^6 - 210068781596502325255/201885861202850897546*c_1001_10^5 - 181471121323945463169/201885861202850897546*c_1001_10^4 - 2336635873361541375/100942930601425448773*c_1001_10^3 + 112026784857830788847/100942930601425448773*c_1001_10^2 + 77143089057595333582/100942930601425448773*c_1001_10 + 35391055998796333068/100942930601425448773, c_0011_7 + 31481841763956232715/201885861202850897546*c_1001_10^13 + 17184349585016270912/100942930601425448773*c_1001_10^12 - 5055034566717656587/100942930601425448773*c_1001_10^11 - 521093011281136070727/201885861202850897546*c_1001_10^10 - 124105704970884367013/100942930601425448773*c_1001_10^9 + 751434390889533911866/100942930601425448773*c_1001_10^8 + 187803752294365988527/201885861202850897546*c_1001_10^7 - 1007921410548841755683/201885861202850897546*c_1001_10^6 + 834377573358816766/100942930601425448773*c_1001_10^5 - 38471284352846659923/201885861202850897546*c_1001_10^4 + 777862762559500117599/201885861202850897546*c_1001_10^3 - 258341183434531649007/201885861202850897546*c_1001_10^2 - 554054343806176431601/201885861202850897546*c_1001_10 - 50059702259161693489/100942930601425448773, c_0011_8 - 11989824563096082934/100942930601425448773*c_1001_10^13 - 5256984886601555060/100942930601425448773*c_1001_10^12 + 8645208176096934791/201885861202850897546*c_1001_10^11 + 377129279083394191013/201885861202850897546*c_1001_10^10 - 89232917354336129809/201885861202850897546*c_1001_10^9 - 507115204405437518121/100942930601425448773*c_1001_10^8 + 657697556246399679799/201885861202850897546*c_1001_10^7 + 478855303835208216993/201885861202850897546*c_1001_10^6 - 305756803878428509731/100942930601425448773*c_1001_10^5 - 71340939164072847423/201885861202850897546*c_1001_10^4 - 96836255662281655779/100942930601425448773*c_1001_10^3 + 562852011453968713693/201885861202850897546*c_1001_10^2 - 76787841957119596269/201885861202850897546*c_1001_10 - 59672446292168158897/100942930601425448773, c_0101_0 + 6023494409992507393/201885861202850897546*c_1001_10^13 + 6684083919602757313/201885861202850897546*c_1001_10^12 + 2955395608863358330/100942930601425448773*c_1001_10^11 - 43348366169806959350/100942930601425448773*c_1001_10^10 - 16292343389230596612/100942930601425448773*c_1001_10^9 + 180751317186426136579/201885861202850897546*c_1001_10^8 - 58249411678809431291/201885861202850897546*c_1001_10^7 - 57193072406787316121/201885861202850897546*c_1001_10^6 + 40945432213994159621/100942930601425448773*c_1001_10^5 - 100272161954328717163/201885861202850897546*c_1001_10^4 + 279210366272468123455/201885861202850897546*c_1001_10^3 + 29812416303849505973/100942930601425448773*c_1001_10^2 - 83588163954086815307/201885861202850897546*c_1001_10 + 59787874124409054156/100942930601425448773, c_0101_3 + 34220909737673768989/201885861202850897546*c_1001_10^13 + 21747517821674834154/100942930601425448773*c_1001_10^12 + 15945921715514085575/201885861202850897546*c_1001_10^11 - 284978813179670682588/100942930601425448773*c_1001_10^10 - 347202184609839011973/201885861202850897546*c_1001_10^9 + 628336988811835549373/100942930601425448773*c_1001_10^8 + 377903072604941909639/100942930601425448773*c_1001_10^7 - 423509045069402793326/100942930601425448773*c_1001_10^6 - 277962545724014156351/100942930601425448773*c_1001_10^5 + 229319157592119228327/100942930601425448773*c_1001_10^4 + 613747188727986752423/201885861202850897546*c_1001_10^3 + 29011952961601748322/100942930601425448773*c_1001_10^2 - 374490762855877640325/100942930601425448773*c_1001_10 - 153983802811113597343/100942930601425448773, c_0101_7 + 54926338344107417979/201885861202850897546*c_1001_10^13 + 68747333632787898421/201885861202850897546*c_1001_10^12 + 1024706817729463002/100942930601425448773*c_1001_10^11 - 898675832669342353859/201885861202850897546*c_1001_10^10 - 550278276246372483637/201885861202850897546*c_1001_10^9 + 2424893943895430018887/201885861202850897546*c_1001_10^8 + 676712921355444035615/201885861202850897546*c_1001_10^7 - 827771712315742706589/100942930601425448773*c_1001_10^6 - 372968830272545303665/201885861202850897546*c_1001_10^5 + 153912631439802665402/100942930601425448773*c_1001_10^4 + 729402660298518735298/100942930601425448773*c_1001_10^3 - 294702673078124591117/201885861202850897546*c_1001_10^2 - 461399766225468943811/100942930601425448773*c_1001_10 - 204783152132990922187/100942930601425448773, c_0110_4 - 10001697495771870922/100942930601425448773*c_1001_10^13 - 3321799806041137829/100942930601425448773*c_1001_10^12 + 2423129664140167129/201885861202850897546*c_1001_10^11 + 329410485825708296457/201885861202850897546*c_1001_10^10 - 107143259924138077127/201885861202850897546*c_1001_10^9 - 725673005302838480159/201885861202850897546*c_1001_10^8 + 161630415060202263847/100942930601425448773*c_1001_10^7 + 169371490788320833424/100942930601425448773*c_1001_10^6 - 210068781596502325255/201885861202850897546*c_1001_10^5 - 181471121323945463169/201885861202850897546*c_1001_10^4 - 2336635873361541375/100942930601425448773*c_1001_10^3 + 112026784857830788847/100942930601425448773*c_1001_10^2 + 77143089057595333582/100942930601425448773*c_1001_10 + 35391055998796333068/100942930601425448773, c_1001_10^14 - 1/11*c_1001_10^13 - 10/11*c_1001_10^12 - 180/11*c_1001_10^11 + 133/11*c_1001_10^10 + 499/11*c_1001_10^9 - 438/11*c_1001_10^8 - 284/11*c_1001_10^7 + 230/11*c_1001_10^6 + 140/11*c_1001_10^5 + 148/11*c_1001_10^4 - 394/11*c_1001_10^3 + 25/11*c_1001_10^2 + 91/11*c_1001_10 + 34/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB