Magma V2.19-8 Tue Aug 20 2013 23:40:18 on localhost [Seed = 2598174235] Type ? for help. Type -D to quit. Loading file "K12n260__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n260 geometric_solution 10.75463423 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 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 1 0 -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 0.473635415035 0.547796687724 0 5 6 5 0132 0132 0132 1230 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 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 0.767698685488 1.096846277528 3 0 7 4 0321 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869297732221 0.730433510182 2 8 9 0 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635648425434 1.204092553424 10 8 0 2 0132 3201 0132 2103 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 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 0.416135776946 0.656444338305 1 1 11 7 3012 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 -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 0.184800895004 0.872565763111 10 11 8 1 3120 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956129658482 0.417113154970 10 11 5 2 1302 3012 0132 0132 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 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 0.600414678721 0.417971184001 9 3 4 6 2310 0132 2310 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 -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 0.665026332612 0.637536975598 10 11 8 3 2031 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.442873754415 0.672256219044 4 7 9 6 0132 2031 1302 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084627436010 0.423535824644 7 6 9 5 1230 3120 2310 0132 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089034985061 0.751371670096 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_9']), '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' : 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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_1001_11']), 's_3_1' : 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' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_3'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(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_3, c_0011_6, c_0011_9, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2903936333812142064287/224075210815229328072*c_1001_11^9 - 13594737827164171734929/224075210815229328072*c_1001_11^8 - 242242071035002314095537/2016676897337063952648*c_1001_11^7 - 1648613224721704437961/8692572833349413589*c_1001_11^6 - 346625854724851442504191/1008338448668531976324*c_1001_11^5 - 43341093938655527871623/74691736938409776024*c_1001_11^4 - 1704568990243131989233765/1008338448668531976324*c_1001_11^3 - 1605569624135932436994193/2016676897337063952648*c_1001_11^2 - 442571427220099039779169/504169224334265988162*c_1001_11 - 7946079075181434342641/33060277005525638568, c_0011_0 - 1, c_0011_10 + 973480694631/8424293561296*c_1001_11^9 + 282675011253/526518347581*c_1001_11^8 + 26471930999177/25272880683888*c_1001_11^7 + 20643063404531/12636440341944*c_1001_11^6 + 18710032965773/6318220170972*c_1001_11^5 + 42157844693411/8424293561296*c_1001_11^4 + 376529384170421/25272880683888*c_1001_11^3 + 41277538948069/6318220170972*c_1001_11^2 + 2915995525213/414309519408*c_1001_11 + 786688474625/414309519408, c_0011_11 + 28128367581/8424293561296*c_1001_11^9 - 106826670759/8424293561296*c_1001_11^8 - 591217302253/6318220170972*c_1001_11^7 - 522203758489/3159110085486*c_1001_11^6 - 1375992068947/6318220170972*c_1001_11^5 - 3488166448983/8424293561296*c_1001_11^4 - 6781078279511/12636440341944*c_1001_11^3 - 19396162444283/6318220170972*c_1001_11^2 - 103277219141/414309519408*c_1001_11 - 58737603137/207154759704, c_0011_3 + 346912659057/8424293561296*c_1001_11^9 + 1440024315213/8424293561296*c_1001_11^8 + 3463794737423/12636440341944*c_1001_11^7 + 2350837890545/6318220170972*c_1001_11^6 + 4668831987247/6318220170972*c_1001_11^5 + 10785858732389/8424293561296*c_1001_11^4 + 55077485224457/12636440341944*c_1001_11^3 - 2467201427801/12636440341944*c_1001_11^2 + 599802728093/414309519408*c_1001_11 - 2545789682/25894344963, c_0011_6 + 593385379947/16848587122592*c_1001_11^9 + 173258876529/1053036695162*c_1001_11^8 + 5634296720911/16848587122592*c_1001_11^7 + 4762107016739/8424293561296*c_1001_11^6 + 2179186490093/2106073390324*c_1001_11^5 + 28511850612811/16848587122592*c_1001_11^4 + 80472907871463/16848587122592*c_1001_11^3 + 5449406567615/2106073390324*c_1001_11^2 + 934846127811/276206346272*c_1001_11 + 121107328403/276206346272, c_0011_9 - 46932829191/2106073390324*c_1001_11^9 - 271237744341/2106073390324*c_1001_11^8 - 1371741014193/4212146780648*c_1001_11^7 - 1194983906229/2106073390324*c_1001_11^6 - 494087029659/526518347581*c_1001_11^5 - 3371819255351/2106073390324*c_1001_11^4 - 2187629981348/526518347581*c_1001_11^3 - 19565105866117/4212146780648*c_1001_11^2 - 210105393669/69051586568*c_1001_11 - 73309170485/69051586568, c_0101_1 - 1731101704917/8424293561296*c_1001_11^9 - 8067476053491/8424293561296*c_1001_11^8 - 2942392820138/1579555042743*c_1001_11^7 - 9051259601411/3159110085486*c_1001_11^6 - 32867013644585/6318220170972*c_1001_11^5 - 74316578814401/8424293561296*c_1001_11^4 - 82701835724395/3159110085486*c_1001_11^3 - 145207163082491/12636440341944*c_1001_11^2 - 4674635907553/414309519408*c_1001_11 - 625498566307/207154759704, c_0101_11 - 133838083827/16848587122592*c_1001_11^9 - 226943965233/4212146780648*c_1001_11^8 - 2370799505051/16848587122592*c_1001_11^7 - 1682492861999/8424293561296*c_1001_11^6 - 567229840473/2106073390324*c_1001_11^5 - 8631568188771/16848587122592*c_1001_11^4 - 22379562844067/16848587122592*c_1001_11^3 - 2154662371991/1053036695162*c_1001_11^2 - 89987321155/276206346272*c_1001_11 + 186830452521/276206346272, c_0101_2 + 1086552245529/8424293561296*c_1001_11^9 + 641482986951/1053036695162*c_1001_11^8 + 10185740636509/8424293561296*c_1001_11^7 + 7990518329697/4212146780648*c_1001_11^6 + 3687020363403/1053036695162*c_1001_11^5 + 50528582636441/8424293561296*c_1001_11^4 + 142719101857541/8424293561296*c_1001_11^3 + 8722109294449/1053036695162*c_1001_11^2 + 1215079993617/138103173136*c_1001_11 + 329960720569/138103173136, c_0101_6 + 3892034557809/16848587122592*c_1001_11^9 + 4468041764829/4212146780648*c_1001_11^8 + 34534555561257/16848587122592*c_1001_11^7 + 27264986465805/8424293561296*c_1001_11^6 + 12627188641635/2106073390324*c_1001_11^5 + 171138954495313/16848587122592*c_1001_11^4 + 500310480249609/16848587122592*c_1001_11^3 + 25799590370177/2106073390324*c_1001_11^2 + 4260238349417/276206346272*c_1001_11 + 1244999903629/276206346272, c_1001_0 - 284288057673/16848587122592*c_1001_11^9 - 611753875239/8424293561296*c_1001_11^8 - 5724900715613/50545761367776*c_1001_11^7 - 3256647321917/25272880683888*c_1001_11^6 - 1574597152339/6318220170972*c_1001_11^5 - 7257567266425/16848587122592*c_1001_11^4 - 81317625619217/50545761367776*c_1001_11^3 + 3184738840051/6318220170972*c_1001_11^2 + 693417513221/828619038816*c_1001_11 + 416808850771/828619038816, c_1001_11^10 + 5*c_1001_11^9 + 97/9*c_1001_11^8 + 53/3*c_1001_11^7 + 94/3*c_1001_11^6 + 481/9*c_1001_11^5 + 1306/9*c_1001_11^4 + 311/3*c_1001_11^3 + 805/9*c_1001_11^2 + 122/3*c_1001_11 + 61/9 ], 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_3, c_0011_6, c_0011_9, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 23348873/322560*c_1001_11^10 + 102408307/645120*c_1001_11^9 + 58770209/71680*c_1001_11^8 + 771568667/645120*c_1001_11^7 + 284997241/71680*c_1001_11^6 + 1967696417/645120*c_1001_11^5 + 5092969631/645120*c_1001_11^4 + 42191005/129024*c_1001_11^3 + 2266586939/215040*c_1001_11^2 - 1235866/315*c_1001_11 + 228176863/53760, c_0011_0 - 1, c_0011_10 + 85/7296*c_1001_11^10 - 97/14592*c_1001_11^9 + 123/4864*c_1001_11^8 - 3653/14592*c_1001_11^7 - 1441/4864*c_1001_11^6 - 25571/14592*c_1001_11^5 - 1355/768*c_1001_11^4 - 3197/768*c_1001_11^3 - 2937/4864*c_1001_11^2 - 2827/912*c_1001_11 - 421/1216, c_0011_11 + 9/2432*c_1001_11^10 - 21/4864*c_1001_11^9 + 141/4864*c_1001_11^8 - 233/4864*c_1001_11^7 + 617/4864*c_1001_11^6 - 1023/4864*c_1001_11^5 + 129/256*c_1001_11^4 - 65/256*c_1001_11^3 + 7985/4864*c_1001_11^2 - 91/304*c_1001_11 + 941/1216, c_0011_3 + 67/7296*c_1001_11^10 + 629/14592*c_1001_11^9 + 751/4864*c_1001_11^8 + 6085/14592*c_1001_11^7 + 4367/4864*c_1001_11^6 + 24127/14592*c_1001_11^5 + 1513/768*c_1001_11^4 + 1813/768*c_1001_11^3 + 7307/4864*c_1001_11^2 + 3583/1824*c_1001_11 - 73/1216, c_0011_6 + 1, c_0011_9 + 29/3648*c_1001_11^10 - 17/7296*c_1001_11^9 - 9/2432*c_1001_11^8 - 1477/7296*c_1001_11^7 - 1029/2432*c_1001_11^6 - 11251/7296*c_1001_11^5 - 871/384*c_1001_11^4 - 1501/384*c_1001_11^3 - 5461/2432*c_1001_11^2 - 1277/456*c_1001_11 - 681/608, c_0101_1 + 29/3648*c_1001_11^10 - 17/7296*c_1001_11^9 - 9/2432*c_1001_11^8 - 1477/7296*c_1001_11^7 - 1029/2432*c_1001_11^6 - 11251/7296*c_1001_11^5 - 871/384*c_1001_11^4 - 1501/384*c_1001_11^3 - 5461/2432*c_1001_11^2 - 1277/456*c_1001_11 - 681/608, c_0101_11 + 61/1824*c_1001_11^10 + 5/57*c_1001_11^9 + 977/2432*c_1001_11^8 + 2491/3648*c_1001_11^7 + 4683/2432*c_1001_11^6 + 1723/912*c_1001_11^5 + 1331/384*c_1001_11^4 + 145/192*c_1001_11^3 + 7681/2432*c_1001_11^2 - 1301/1824*c_1001_11 + 105/608, c_0101_2 - 11/912*c_1001_11^10 - 221/3648*c_1001_11^9 - 557/2432*c_1001_11^8 - 71/114*c_1001_11^7 - 3327/2432*c_1001_11^6 - 9007/3648*c_1001_11^5 - 1223/384*c_1001_11^4 - 311/96*c_1001_11^3 - 4369/2432*c_1001_11^2 - 1765/1824*c_1001_11 - 169/608, c_0101_6 + 31/912*c_1001_11^10 + 25/228*c_1001_11^9 + 575/1216*c_1001_11^8 + 56/57*c_1001_11^7 + 3143/1216*c_1001_11^6 + 3137/912*c_1001_11^5 + 1097/192*c_1001_11^4 + 85/24*c_1001_11^3 + 6665/1216*c_1001_11^2 + 277/912*c_1001_11 + 49/304, c_1001_0 - 7/3648*c_1001_11^10 - 47/7296*c_1001_11^9 - 1/38*c_1001_11^8 - 241/7296*c_1001_11^7 - 131/1216*c_1001_11^6 + 251/7296*c_1001_11^5 + 11/96*c_1001_11^4 + 299/384*c_1001_11^3 + 389/608*c_1001_11^2 + 2029/1824*c_1001_11 + 47/76, c_1001_11^11 + 5/2*c_1001_11^10 + 12*c_1001_11^9 + 20*c_1001_11^8 + 60*c_1001_11^7 + 59*c_1001_11^6 + 122*c_1001_11^5 + 38*c_1001_11^4 + 147*c_1001_11^3 - 19/2*c_1001_11^2 + 42*c_1001_11 + 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.950 Total time: 2.169 seconds, Total memory usage: 32.09MB