Magma V2.19-8 Tue Aug 20 2013 23:50:51 on localhost [Seed = 3651121899] Type ? for help. Type -D to quit. Loading file "L12n883__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n883 geometric_solution 10.36296668 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 0321 0132 1 0 0 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 -1 0 1 -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 0.087880450479 0.574754847273 0 4 5 3 0132 0132 0132 2103 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 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 -0.500315338680 1.349051395847 3 0 0 6 1023 0132 0321 0132 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 1 0 -1 -1 0 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 0.087880450479 0.574754847273 4 2 0 1 0132 1023 0132 2103 1 0 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 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 1.030710868480 0.828303223041 3 1 5 7 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035231272308 1.159971542929 8 6 4 1 0132 1023 3120 0132 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 0 0 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 -0.415120804393 1.217888301447 5 9 2 10 1023 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -6 1 5 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 0.978379645000 1.200666296744 11 10 4 9 0132 1023 0132 1302 1 0 1 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 -1 0 1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240684940269 0.455844935547 5 9 11 11 0132 1023 0132 3201 1 0 1 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 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 -0.196104556838 0.537780656593 8 6 7 10 1023 0132 2031 0213 1 1 1 0 0 1 -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 0 0 0 0 6 -6 0 -5 0 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.004878649076 0.876605333274 7 11 6 9 1023 3201 0132 0213 1 1 1 0 0 1 -1 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 5 -5 0 1 0 -1 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744928158953 0.823520274127 7 8 10 8 0132 2310 2310 0132 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 0 0 0 1 0 -1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598490952025 1.641251291321 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0110_10']), 's_0_10' : d['1'], 's_0_11' : 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' : 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_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' : 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' : negation(d['c_0110_10']), 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1001_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0110_10']), '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' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_5, c_0101_6, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 7456118404051/10306758940*c_1001_0^12 + 267142669957261/2061351788*c_1001_0^11 - 4197793884463029/2576689735*c_1001_0^10 + 56237633773455189/10306758940*c_1001_0^9 - 14627401168285815/2061351788*c_1001_0^8 + 497925334097731/2061351788*c_1001_0^7 + 25786342730249471/2576689735*c_1001_0^6 - 61964219327210523/5153379470*c_1001_0^5 + 59849226686191889/10306758940*c_1001_0^4 - 3283620455316243/10306758940*c_1001_0^3 - 9701993837706123/10306758940*c_1001_0^2 + 4271119376630991/10306758940*c_1001_0 - 313754785815199/5153379470, c_0011_0 - 1, c_0011_10 - 39518934811/515337947*c_1001_0^12 - 7373874738341/515337947*c_1001_0^11 + 34018748323734/515337947*c_1001_0^10 - 55869272105716/515337947*c_1001_0^9 + 19097740050931/515337947*c_1001_0^8 + 59646819135739/515337947*c_1001_0^7 - 92454539006657/515337947*c_1001_0^6 + 56131302827287/515337947*c_1001_0^5 - 10678696951463/515337947*c_1001_0^4 - 5705992255484/515337947*c_1001_0^3 + 4049015130850/515337947*c_1001_0^2 - 986237602824/515337947*c_1001_0 + 89282879676/515337947, c_0011_5 + 4717516211/515337947*c_1001_0^12 + 880717505386/515337947*c_1001_0^11 - 3973014355710/515337947*c_1001_0^10 + 6243840947032/515337947*c_1001_0^9 - 1512322747579/515337947*c_1001_0^8 - 7510576225028/515337947*c_1001_0^7 + 10337850261798/515337947*c_1001_0^6 - 5353164157054/515337947*c_1001_0^5 + 348860169390/515337947*c_1001_0^4 + 867242266755/515337947*c_1001_0^3 - 372681881667/515337947*c_1001_0^2 + 47671819694/515337947*c_1001_0 + 1609562849/515337947, c_0101_0 - 2376594013/515337947*c_1001_0^12 - 443320981165/515337947*c_1001_0^11 + 2069923035772/515337947*c_1001_0^10 - 3497692363968/515337947*c_1001_0^9 + 1431581793421/515337947*c_1001_0^8 + 3413552065554/515337947*c_1001_0^7 - 5804974868636/515337947*c_1001_0^6 + 3881505144361/515337947*c_1001_0^5 - 977646361531/515337947*c_1001_0^4 - 285063706552/515337947*c_1001_0^3 + 283645014893/515337947*c_1001_0^2 - 83100090327/515337947*c_1001_0 + 9265208081/515337947, c_0101_1 - 1, c_0101_10 - 4581337002/515337947*c_1001_0^12 - 853540262107/515337947*c_1001_0^11 + 4185403065804/515337947*c_1001_0^10 - 7605196232765/515337947*c_1001_0^9 + 4075314238751/515337947*c_1001_0^8 + 6310950374773/515337947*c_1001_0^7 - 12796007747164/515337947*c_1001_0^6 + 9627524558869/515337947*c_1001_0^5 - 3002965151893/515337947*c_1001_0^4 - 452909894860/515337947*c_1001_0^3 + 721442560666/515337947*c_1001_0^2 - 241927858983/515337947*c_1001_0 + 29914007855/515337947, c_0101_11 + 10426933964/515337947*c_1001_0^12 + 1943544488849/515337947*c_1001_0^11 - 9353841962048/515337947*c_1001_0^10 + 16498941674878/515337947*c_1001_0^9 - 7897679569413/515337947*c_1001_0^8 - 14923304246626/515337947*c_1001_0^7 + 27742430114337/515337947*c_1001_0^6 - 19580698828638/515337947*c_1001_0^5 + 5324662896408/515337947*c_1001_0^4 + 1331316614552/515337947*c_1001_0^3 - 1462808359304/515337947*c_1001_0^2 + 430838287339/515337947*c_1001_0 - 46630748223/515337947, c_0101_4 + 2513679001/515337947*c_1001_0^12 + 468646393452/515337947*c_1001_0^11 - 2235211079657/515337947*c_1001_0^10 + 3909733701392/515337947*c_1001_0^9 - 1848644240015/515337947*c_1001_0^8 - 3519586868617/515337947*c_1001_0^7 + 6523261897876/515337947*c_1001_0^6 - 4651800464051/515337947*c_1001_0^5 + 1341714675860/515337947*c_1001_0^4 + 257348356733/515337947*c_1001_0^3 - 340882059159/515337947*c_1001_0^2 + 112501650152/515337947*c_1001_0 - 14705369953/515337947, c_0101_5 + 10426933964/515337947*c_1001_0^12 + 1943544488849/515337947*c_1001_0^11 - 9353841962048/515337947*c_1001_0^10 + 16498941674878/515337947*c_1001_0^9 - 7897679569413/515337947*c_1001_0^8 - 14923304246626/515337947*c_1001_0^7 + 27742430114337/515337947*c_1001_0^6 - 19580698828638/515337947*c_1001_0^5 + 5324662896408/515337947*c_1001_0^4 + 1331316614552/515337947*c_1001_0^3 - 1462808359304/515337947*c_1001_0^2 + 430838287339/515337947*c_1001_0 - 46630748223/515337947, c_0101_6 - 2376594013/515337947*c_1001_0^12 - 443320981165/515337947*c_1001_0^11 + 2069923035772/515337947*c_1001_0^10 - 3497692363968/515337947*c_1001_0^9 + 1431581793421/515337947*c_1001_0^8 + 3413552065554/515337947*c_1001_0^7 - 5804974868636/515337947*c_1001_0^6 + 3881505144361/515337947*c_1001_0^5 - 977646361531/515337947*c_1001_0^4 - 285063706552/515337947*c_1001_0^3 + 283645014893/515337947*c_1001_0^2 - 83615428274/515337947*c_1001_0 + 9780546028/515337947, c_0110_10 + 24062206492/515337947*c_1001_0^12 + 4483648009782/515337947*c_1001_0^11 - 21860670545433/515337947*c_1001_0^10 + 39029956936484/515337947*c_1001_0^9 - 19080295394761/515337947*c_1001_0^8 - 35246446719875/515337947*c_1001_0^7 + 65942482730644/515337947*c_1001_0^6 - 46182299523618/515337947*c_1001_0^5 + 12130652223054/515337947*c_1001_0^4 + 3335213987318/515337947*c_1001_0^3 - 3420340184321/515337947*c_1001_0^2 + 980255539106/515337947*c_1001_0 - 104294621669/515337947, c_1001_0^13 + 186*c_1001_0^12 - 971*c_1001_0^11 + 1938*c_1001_0^10 - 1386*c_1001_0^9 - 1125*c_1001_0^8 + 3219*c_1001_0^7 - 2932*c_1001_0^6 + 1268*c_1001_0^5 - 89*c_1001_0^4 - 186*c_1001_0^3 + 98*c_1001_0^2 - 22*c_1001_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB