Magma V2.19-8 Tue Aug 20 2013 23:53:14 on localhost [Seed = 3499539256] Type ? for help. Type -D to quit. Loading file "L13n4912__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4912 geometric_solution 11.19646064 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 2031 0132 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 0 0 0 0 0 0 0 1 0 -1 -1 0 -4 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016734904438 0.818506110038 0 4 2 0 0132 0132 2031 1302 1 1 1 0 0 1 0 -1 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 -4 0 4 1 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 0.403220261539 0.480427946503 3 0 4 1 0213 0132 3201 1302 1 0 1 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 1 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 0.874664955544 0.573419328526 2 5 0 6 0213 0132 0132 0132 1 1 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 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545290210434 0.725514728015 2 1 5 6 2310 0132 1230 1230 1 0 0 1 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 4 -4 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 0.620228566185 0.989609130543 7 3 8 4 0132 0132 0132 3012 1 1 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711092555341 0.537391743170 4 9 3 10 3012 0132 0132 0132 1 1 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 -1 0 0 -5 5 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711092555341 0.537391743170 5 11 10 11 0132 0132 2103 1023 1 1 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 4 0 -5 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 0.869830195073 0.638511290841 10 9 10 5 1230 0321 0132 0132 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 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 0.595838049816 0.736156491079 11 6 11 8 0132 0132 1023 0321 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 0 0 0 -1 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869830195073 0.638511290841 7 8 6 8 2103 3012 0132 0132 1 1 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 0 0 0 0 0 -1 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595838049816 0.736156491079 9 7 9 7 0132 0132 1023 1023 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 1 -1 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 0.670731699331 0.378942846712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), '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_0101_8']), 'c_1100_8' : negation(d['c_1001_4']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : 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' : 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_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : d['c_0101_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_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_11, c_0011_8, c_0101_0, c_0101_10, c_0101_4, c_0101_6, c_0101_8, c_0101_9, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 757369843396733308965/26749930149505599904*c_1001_5^14 - 4226838487590067228945/26749930149505599904*c_1001_5^13 - 4289780098503858019021/6687482537376399976*c_1001_5^12 - 21393963457945261303139/13374965074752799952*c_1001_5^11 - 39495201275730007991485/13374965074752799952*c_1001_5^10 - 48599045490800928292705/13374965074752799952*c_1001_5^9 - 88911452754259885726357/26749930149505599904*c_1001_5^8 - 11472212847629566776983/13374965074752799952*c_1001_5^7 + 475177541496699350563/238838662049157142*c_1001_5^6 + 673866799447557485517/98345331432005882*c_1001_5^5 + 239201513682824533001317/26749930149505599904*c_1001_5^4 + 69794343635028703771831/6687482537376399976*c_1001_5^3 + 172823475723360041873989/26749930149505599904*c_1001_5^2 + 81029137852532897453109/26749930149505599904*c_1001_5 + 29623961958260337906557/26749930149505599904, c_0011_0 - 1, c_0011_10 + 3440480929473/59030811183677*c_1001_5^14 + 18168892298476/59030811183677*c_1001_5^13 + 72832419314187/59030811183677*c_1001_5^12 + 174226486016670/59030811183677*c_1001_5^11 + 312882520303375/59030811183677*c_1001_5^10 + 362341258032581/59030811183677*c_1001_5^9 + 319002939959388/59030811183677*c_1001_5^8 + 37272920619268/59030811183677*c_1001_5^7 - 224176626403652/59030811183677*c_1001_5^6 - 745400161582088/59030811183677*c_1001_5^5 - 856881117065834/59030811183677*c_1001_5^4 - 1038375187523231/59030811183677*c_1001_5^3 - 534358808749529/59030811183677*c_1001_5^2 - 250038109078525/59030811183677*c_1001_5 - 92212015140482/59030811183677, c_0011_11 - 1885781907447/59030811183677*c_1001_5^14 - 10174085268241/59030811183677*c_1001_5^13 - 40916146607893/59030811183677*c_1001_5^12 - 98288057712467/59030811183677*c_1001_5^11 - 174808450755996/59030811183677*c_1001_5^10 - 194592232333736/59030811183677*c_1001_5^9 - 152463124715886/59030811183677*c_1001_5^8 + 19464594944277/59030811183677*c_1001_5^7 + 167477575682435/59030811183677*c_1001_5^6 + 454669483474108/59030811183677*c_1001_5^5 + 503385906760323/59030811183677*c_1001_5^4 + 566282627144923/59030811183677*c_1001_5^3 + 198009428608863/59030811183677*c_1001_5^2 + 41932300466611/59030811183677*c_1001_5 - 27698848331900/59030811183677, c_0011_8 - 3440480929473/59030811183677*c_1001_5^14 - 18168892298476/59030811183677*c_1001_5^13 - 72832419314187/59030811183677*c_1001_5^12 - 174226486016670/59030811183677*c_1001_5^11 - 312882520303375/59030811183677*c_1001_5^10 - 362341258032581/59030811183677*c_1001_5^9 - 319002939959388/59030811183677*c_1001_5^8 - 37272920619268/59030811183677*c_1001_5^7 + 224176626403652/59030811183677*c_1001_5^6 + 745400161582088/59030811183677*c_1001_5^5 + 856881117065834/59030811183677*c_1001_5^4 + 1038375187523231/59030811183677*c_1001_5^3 + 534358808749529/59030811183677*c_1001_5^2 + 250038109078525/59030811183677*c_1001_5 + 92212015140482/59030811183677, c_0101_0 - 1, c_0101_10 - c_1001_5, c_0101_4 - 2299874753032/59030811183677*c_1001_5^14 - 11940491220194/59030811183677*c_1001_5^13 - 46658871135152/59030811183677*c_1001_5^12 - 107654852619450/59030811183677*c_1001_5^11 - 183120264556227/59030811183677*c_1001_5^10 - 192335676575030/59030811183677*c_1001_5^9 - 150561574326798/59030811183677*c_1001_5^8 + 20829304431241/59030811183677*c_1001_5^7 + 165913431052176/59030811183677*c_1001_5^6 + 462415012937012/59030811183677*c_1001_5^5 + 478387008579810/59030811183677*c_1001_5^4 + 517901709394787/59030811183677*c_1001_5^3 + 195363163911846/59030811183677*c_1001_5^2 + 67705144335971/59030811183677*c_1001_5 + 60153722713883/59030811183677, c_0101_6 + 2299874753032/59030811183677*c_1001_5^14 + 11940491220194/59030811183677*c_1001_5^13 + 46658871135152/59030811183677*c_1001_5^12 + 107654852619450/59030811183677*c_1001_5^11 + 183120264556227/59030811183677*c_1001_5^10 + 192335676575030/59030811183677*c_1001_5^9 + 150561574326798/59030811183677*c_1001_5^8 - 20829304431241/59030811183677*c_1001_5^7 - 165913431052176/59030811183677*c_1001_5^6 - 462415012937012/59030811183677*c_1001_5^5 - 478387008579810/59030811183677*c_1001_5^4 - 517901709394787/59030811183677*c_1001_5^3 - 195363163911846/59030811183677*c_1001_5^2 - 67705144335971/59030811183677*c_1001_5 - 60153722713883/59030811183677, c_0101_8 - 2272166895899/59030811183677*c_1001_5^14 - 12747644746816/59030811183677*c_1001_5^13 - 53214445267023/59030811183677*c_1001_5^12 - 136522109111480/59030811183677*c_1001_5^11 - 265075369559207/59030811183677*c_1001_5^10 - 348923203655801/59030811183677*c_1001_5^9 - 347373139401547/59030811183677*c_1001_5^8 - 128798385595120/59030811183677*c_1001_5^7 + 134726498501123/59030811183677*c_1001_5^6 + 592114718446247/59030811183677*c_1001_5^5 + 806808811101808/59030811183677*c_1001_5^4 + 1038525891637676/59030811183677*c_1001_5^3 + 658866355315191/59030811183677*c_1001_5^2 + 324980285202167/59030811183677*c_1001_5 + 87670503384356/59030811183677, c_0101_9 + 5145942417247/59030811183677*c_1001_5^14 + 27241537545314/59030811183677*c_1001_5^13 + 108079870035624/59030811183677*c_1001_5^12 + 257290415637031/59030811183677*c_1001_5^11 + 454244096284256/59030811183677*c_1001_5^10 + 516039643212845/59030811183677*c_1001_5^9 + 436518511143724/59030811183677*c_1001_5^8 + 16820676249537/59030811183677*c_1001_5^7 - 384875359333708/59030811183677*c_1001_5^6 - 1120924848096277/59030811183677*c_1001_5^5 - 1297167268510682/59030811183677*c_1001_5^4 - 1496120981099121/59030811183677*c_1001_5^3 - 765300928340587/59030811183677*c_1001_5^2 - 317982290386462/59030811183677*c_1001_5 - 123541589893298/59030811183677, c_1001_4 - 2299874753032/59030811183677*c_1001_5^14 - 11940491220194/59030811183677*c_1001_5^13 - 46658871135152/59030811183677*c_1001_5^12 - 107654852619450/59030811183677*c_1001_5^11 - 183120264556227/59030811183677*c_1001_5^10 - 192335676575030/59030811183677*c_1001_5^9 - 150561574326798/59030811183677*c_1001_5^8 + 20829304431241/59030811183677*c_1001_5^7 + 165913431052176/59030811183677*c_1001_5^6 + 462415012937012/59030811183677*c_1001_5^5 + 478387008579810/59030811183677*c_1001_5^4 + 517901709394787/59030811183677*c_1001_5^3 + 195363163911846/59030811183677*c_1001_5^2 + 67705144335971/59030811183677*c_1001_5 + 1122911530206/59030811183677, c_1001_5^15 + 6*c_1001_5^14 + 25*c_1001_5^13 + 66*c_1001_5^12 + 128*c_1001_5^11 + 172*c_1001_5^10 + 171*c_1001_5^9 + 79*c_1001_5^8 - 58*c_1001_5^7 - 272*c_1001_5^6 - 417*c_1001_5^5 - 501*c_1001_5^4 - 381*c_1001_5^3 - 202*c_1001_5^2 - 82*c_1001_5 - 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB