Magma V2.19-8 Tue Aug 20 2013 23:40:20 on localhost [Seed = 425688477] Type ? for help. Type -D to quit. Loading file "L10a74__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a74 geometric_solution 10.41405789 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 0 0 1 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557995494668 0.963268842827 0 5 6 5 0132 0132 0132 0213 0 1 1 1 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 -1 -1 2 1 0 -1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128592167806 1.065608646583 7 0 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128592167806 1.065608646583 9 10 4 0 0132 0132 2103 0132 1 1 1 1 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 8 0 -8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775771639019 0.409893581285 3 10 0 10 2103 0321 0132 2310 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 0.960127040515 1.023040925038 7 1 8 1 1023 0132 3120 0213 0 1 1 1 0 -1 0 1 1 0 -1 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 -2 -9 0 9 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128592167806 1.065608646583 9 8 8 1 3120 3120 3201 0132 0 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 -1 0 1 0 0 -1 1 -1 1 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.888380448227 0.924961150633 2 5 2 9 0132 1023 2031 3012 1 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 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459876545452 0.562364033337 6 6 5 2 2310 3120 3120 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 -9 8 1 9 0 -9 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459876545452 0.562364033337 3 10 7 6 0132 0213 1230 3120 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 -1 0 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557995494668 0.963268842827 4 3 9 4 3201 0132 0213 0321 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 -1 1 0 0 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512243751153 0.519717269650 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_8'], 'c_1010_10' : d['c_0011_4'], '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_0011_10'], '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' : d['1'], 's_2_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), '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' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], '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_0101_5']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], '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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 265279295886643428389/305332759195024019904*c_1001_0^12 - 263106134151478365155/356221552394194689888*c_1001_0^11 + 6097749847492563844897/305332759195024019904*c_1001_0^10 - 6051512371808043257957/152666379597512009952*c_1001_0^9 + 33584255913246176157155/237481034929463126592*c_1001_0^8 - 131620233534315502091867/267166164295646017416*c_1001_0^7 + 248993505113787145115867/2137329314365168139328*c_1001_0^6 - 184890323970545269070071/76333189798756004976*c_1001_0^5 - 356749497152262419039477/712443104788389379776*c_1001_0^4 - 1965339581223172184608399/2137329314365168139328*c_1001_0^3 - 404084259325390546613855/534332328591292034832*c_1001_0^2 - 310894535029549114708105/2137329314365168139328*c_1001_0 - 307305242989635258310885/2137329314365168139328, c_0011_0 - 1, c_0011_10 + 356553650107/34055545650618*c_1001_0^12 + 321435231121/11351848550206*c_1001_0^11 + 5388170697892/17027772825309*c_1001_0^10 + 10333468407575/17027772825309*c_1001_0^9 + 35901309484905/11351848550206*c_1001_0^8 + 158227175950837/34055545650618*c_1001_0^7 + 194348163864551/17027772825309*c_1001_0^6 + 135081539634974/17027772825309*c_1001_0^5 + 21514422965719/11351848550206*c_1001_0^4 + 46745758080908/17027772825309*c_1001_0^3 + 8749616619316/17027772825309*c_1001_0^2 - 2371563847655/34055545650618*c_1001_0 - 2336172984385/17027772825309, c_0011_4 + 1063108857711905/530091595824694479*c_1001_0^12 + 816590269898330/176697198608231493*c_1001_0^11 + 33222217491995647/530091595824694479*c_1001_0^10 + 53978891796134723/530091595824694479*c_1001_0^9 + 40312354973776349/58899066202743831*c_1001_0^8 + 447568885178784842/530091595824694479*c_1001_0^7 + 1625638040058185693/530091595824694479*c_1001_0^6 + 1072080644598124286/530091595824694479*c_1001_0^5 + 742248898186254718/176697198608231493*c_1001_0^4 + 884205373693593077/530091595824694479*c_1001_0^3 + 803588778155560198/530091595824694479*c_1001_0^2 + 27195205681612802/530091595824694479*c_1001_0 - 64525230166250395/530091595824694479, c_0011_6 - 7802040713018381/1060183191649388958*c_1001_0^12 - 7114896356077499/353394397216462986*c_1001_0^11 - 117887659549461767/530091595824694479*c_1001_0^10 - 228845567875534273/530091595824694479*c_1001_0^9 - 261258290569094909/117798132405487662*c_1001_0^8 - 3497963361622385189/1060183191649388958*c_1001_0^7 - 4221246336314339560/530091595824694479*c_1001_0^6 - 2961178442805183919/530091595824694479*c_1001_0^5 - 392631249394476805/353394397216462986*c_1001_0^4 - 972346722996777943/530091595824694479*c_1001_0^3 - 808218726883518107/530091595824694479*c_1001_0^2 + 61971937782766261/1060183191649388958*c_1001_0 + 255760164441513671/530091595824694479, c_0011_8 + 1, c_0101_0 + 7802040713018381/1060183191649388958*c_1001_0^12 + 7114896356077499/353394397216462986*c_1001_0^11 + 117887659549461767/530091595824694479*c_1001_0^10 + 228845567875534273/530091595824694479*c_1001_0^9 + 261258290569094909/117798132405487662*c_1001_0^8 + 3497963361622385189/1060183191649388958*c_1001_0^7 + 4221246336314339560/530091595824694479*c_1001_0^6 + 2961178442805183919/530091595824694479*c_1001_0^5 + 392631249394476805/353394397216462986*c_1001_0^4 + 972346722996777943/530091595824694479*c_1001_0^3 + 808218726883518107/530091595824694479*c_1001_0^2 - 61971937782766261/1060183191649388958*c_1001_0 - 255760164441513671/530091595824694479, c_0101_1 + c_1001_0, c_0101_2 - 1, c_0101_5 + 22824667029639143/1060183191649388958*c_1001_0^12 + 13715041438240847/353394397216462986*c_1001_0^11 + 324622883131576853/530091595824694479*c_1001_0^10 + 365632496460296035/530091595824694479*c_1001_0^9 + 682414619313210749/117798132405487662*c_1001_0^8 + 4493396526067644911/1060183191649388958*c_1001_0^7 + 10023472921500532918/530091595824694479*c_1001_0^6 - 611915955049488785/530091595824694479*c_1001_0^5 + 1130102830464706423/353394397216462986*c_1001_0^4 + 2234756875462196455/530091595824694479*c_1001_0^3 - 443801917117530652/530091595824694479*c_1001_0^2 - 966007742073295531/1060183191649388958*c_1001_0 - 146127642010201214/530091595824694479, c_0101_8 - 34291428922897601/530091595824694479*c_1001_0^12 - 43121224992857341/353394397216462986*c_1001_0^11 - 1967558188459828361/1060183191649388958*c_1001_0^10 - 1185186639520647071/530091595824694479*c_1001_0^9 - 1045227328828743512/58899066202743831*c_1001_0^8 - 15205886993401717531/1060183191649388958*c_1001_0^7 - 62958825890953165549/1060183191649388958*c_1001_0^6 - 1128216575657686196/530091595824694479*c_1001_0^5 - 2430652935047066260/176697198608231493*c_1001_0^4 - 13293089257279357207/1060183191649388958*c_1001_0^3 + 835181007305187539/530091595824694479*c_1001_0^2 - 186232711880512322/530091595824694479*c_1001_0 + 966770929904161769/1060183191649388958, c_1001_0^13 + 2*c_1001_0^12 + 29*c_1001_0^11 + 38*c_1001_0^10 + 281*c_1001_0^9 + 256*c_1001_0^8 + 969*c_1001_0^7 + 156*c_1001_0^6 + 299*c_1001_0^5 + 211*c_1001_0^4 + 4*c_1001_0^3 + 29*c_1001_0^2 - 15*c_1001_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB