Magma V2.19-8 Tue Aug 20 2013 23:39:46 on localhost [Seed = 3431639158] Type ? for help. Type -D to quit. Loading file "K14n16887__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n16887 geometric_solution 9.94034282 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 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 1 -1 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 0.667066925403 1.040448301872 0 0 5 4 0132 1230 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278983964340 0.871852075069 6 0 8 7 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 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 0.313597650491 0.650204893921 4 9 0 8 0213 0132 0132 2310 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 0 0 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 0 0 0 0 0 0 0.661621765992 0.551894796554 3 5 1 7 0213 3012 0132 1230 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 -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 -0.496178909877 0.579029181574 4 9 10 1 1230 1023 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437255558687 0.709026469909 2 7 8 10 0132 2103 1023 0321 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613622460743 0.576456168305 4 6 2 10 3012 2103 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.512623645269 1.078614959115 3 9 6 2 3201 0321 1023 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085995112450 1.259372542709 5 3 10 8 1023 0132 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.896840200068 0.569646669265 9 6 7 5 2103 0321 1230 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383104741941 1.037007531945 ==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_0101_10'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_10' : d['c_0101_10'], '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_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' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_7'], 'c_1100_4' : d['c_0110_7'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_0110_7'], 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_7'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_1001_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_6' : negation(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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_10' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_10'])})} 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_3, c_0011_4, c_0011_7, c_0011_8, c_0101_10, c_0101_5, c_0110_7, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 13212068512497166951/108015796938169120*c_1001_2^18 - 26137110409549670303/108015796938169120*c_1001_2^17 - 89145162655634038451/54007898469084560*c_1001_2^16 - 15801818169721143837/4909808951734960*c_1001_2^15 - 272304371659816480069/27003949234542280*c_1001_2^14 - 242015857877209804569/13501974617271140*c_1001_2^13 - 970800647739554333951/27003949234542280*c_1001_2^12 - 185299777220280014856/3375493654317785*c_1001_2^11 - 8844415790878325424803/108015796938169120*c_1001_2^10 - 2172564573375544969315/21603159387633824*c_1001_2^9 - 947333913175851966481/7715414067012080*c_1001_2^8 - 6131141667707311790573/54007898469084560*c_1001_2^7 - 2544087344607621120541/21603159387633824*c_1001_2^6 - 1234613772347801804327/15430828134024160*c_1001_2^5 - 220906551584788155799/3375493654317785*c_1001_2^4 - 20402541111871197823/574552111373240*c_1001_2^3 - 1922983668064623835849/108015796938169120*c_1001_2^2 - 769426446431918112109/108015796938169120*c_1001_2 - 27361675443328504631/13501974617271140, c_0011_0 - 1, c_0011_10 + 647739/72153128*c_1001_2^18 - 156971/9019141*c_1001_2^17 + 1348321/36076564*c_1001_2^16 - 18803233/72153128*c_1001_2^15 - 28905307/72153128*c_1001_2^14 - 136747401/72153128*c_1001_2^13 - 271309811/72153128*c_1001_2^12 - 571968011/72153128*c_1001_2^11 - 478139691/36076564*c_1001_2^10 - 1425465221/72153128*c_1001_2^9 - 1746910233/72153128*c_1001_2^8 - 259237202/9019141*c_1001_2^7 - 1732685431/72153128*c_1001_2^6 - 770148503/36076564*c_1001_2^5 - 454579127/36076564*c_1001_2^4 - 317455617/72153128*c_1001_2^3 - 94724987/36076564*c_1001_2^2 + 159204501/72153128*c_1001_2 + 73513095/72153128, c_0011_3 - 6979599/72153128*c_1001_2^18 - 6602965/36076564*c_1001_2^17 - 22839301/18038282*c_1001_2^16 - 166653123/72153128*c_1001_2^15 - 517319143/72153128*c_1001_2^14 - 841717187/72153128*c_1001_2^13 - 1591532207/72153128*c_1001_2^12 - 2145684153/72153128*c_1001_2^11 - 698761375/18038282*c_1001_2^10 - 2727891397/72153128*c_1001_2^9 - 2724357339/72153128*c_1001_2^8 - 315776593/18038282*c_1001_2^7 - 1259409017/72153128*c_1001_2^6 + 76541567/18038282*c_1001_2^5 - 889285/18038282*c_1001_2^4 + 131338385/72153128*c_1001_2^3 + 31737007/9019141*c_1001_2^2 - 93170663/72153128*c_1001_2 - 51533679/72153128, c_0011_4 + 3500695/72153128*c_1001_2^18 + 690022/9019141*c_1001_2^17 + 22899165/36076564*c_1001_2^16 + 75425937/72153128*c_1001_2^15 + 265772055/72153128*c_1001_2^14 + 419841713/72153128*c_1001_2^13 + 881069695/72153128*c_1001_2^12 + 1235109847/72153128*c_1001_2^11 + 451847811/18038282*c_1001_2^10 + 2003524049/72153128*c_1001_2^9 + 2329606601/72153128*c_1001_2^8 + 408226039/18038282*c_1001_2^7 + 1734625389/72153128*c_1001_2^6 + 195273223/36076564*c_1001_2^5 + 224995887/36076564*c_1001_2^4 - 199415511/72153128*c_1001_2^3 - 28970385/9019141*c_1001_2^2 - 77600321/72153128*c_1001_2 - 20024651/72153128, c_0011_7 - 2544713/36076564*c_1001_2^18 - 2598255/18038282*c_1001_2^17 - 9117390/9019141*c_1001_2^16 - 69698547/36076564*c_1001_2^15 - 228961055/36076564*c_1001_2^14 - 386947191/36076564*c_1001_2^13 - 800536327/36076564*c_1001_2^12 - 1138922747/36076564*c_1001_2^11 - 836032431/18038282*c_1001_2^10 - 1853968761/36076564*c_1001_2^9 - 2101119381/36076564*c_1001_2^8 - 765892723/18038282*c_1001_2^7 - 1519213939/36076564*c_1001_2^6 - 200556233/18038282*c_1001_2^5 - 264478539/18038282*c_1001_2^4 + 140524679/36076564*c_1001_2^3 - 1154436/9019141*c_1001_2^2 + 45323493/36076564*c_1001_2 + 17956311/36076564, c_0011_8 - 2747427/72153128*c_1001_2^18 + 418503/36076564*c_1001_2^17 - 3000285/9019141*c_1001_2^16 + 14480033/72153128*c_1001_2^15 - 53569793/72153128*c_1001_2^14 + 131362973/72153128*c_1001_2^13 + 135004499/72153128*c_1001_2^12 + 618257587/72153128*c_1001_2^11 + 443932891/36076564*c_1001_2^10 + 1616574103/72153128*c_1001_2^9 + 1655945475/72153128*c_1001_2^8 + 601300617/18038282*c_1001_2^7 + 1251706895/72153128*c_1001_2^6 + 242135310/9019141*c_1001_2^5 + 39561265/9019141*c_1001_2^4 + 662699537/72153128*c_1001_2^3 + 51847211/36076564*c_1001_2^2 - 50708947/72153128*c_1001_2 - 35812141/72153128, c_0101_10 + 2544713/36076564*c_1001_2^18 + 2598255/18038282*c_1001_2^17 + 9117390/9019141*c_1001_2^16 + 69698547/36076564*c_1001_2^15 + 228961055/36076564*c_1001_2^14 + 386947191/36076564*c_1001_2^13 + 800536327/36076564*c_1001_2^12 + 1138922747/36076564*c_1001_2^11 + 836032431/18038282*c_1001_2^10 + 1853968761/36076564*c_1001_2^9 + 2101119381/36076564*c_1001_2^8 + 765892723/18038282*c_1001_2^7 + 1519213939/36076564*c_1001_2^6 + 200556233/18038282*c_1001_2^5 + 264478539/18038282*c_1001_2^4 - 140524679/36076564*c_1001_2^3 + 1154436/9019141*c_1001_2^2 - 45323493/36076564*c_1001_2 - 17956311/36076564, c_0101_5 + 196181/72153128*c_1001_2^18 - 3604355/36076564*c_1001_2^17 - 6144953/36076564*c_1001_2^16 - 99738633/72153128*c_1001_2^15 - 180986197/72153128*c_1001_2^14 - 601528657/72153128*c_1001_2^13 - 1000398277/72153128*c_1001_2^12 - 2005931143/72153128*c_1001_2^11 - 1408312103/36076564*c_1001_2^10 - 3952279087/72153128*c_1001_2^9 - 4216942819/72153128*c_1001_2^8 - 578690225/9019141*c_1001_2^7 - 3040735677/72153128*c_1001_2^6 - 382823195/9019141*c_1001_2^5 - 346444993/36076564*c_1001_2^4 - 871581681/72153128*c_1001_2^3 + 29374387/36076564*c_1001_2^2 + 131347171/72153128*c_1001_2 + 40994053/72153128, c_0110_7 - 5830563/72153128*c_1001_2^18 - 1385437/9019141*c_1001_2^17 - 38562825/36076564*c_1001_2^16 - 141314031/72153128*c_1001_2^15 - 444123521/72153128*c_1001_2^14 - 730400091/72153128*c_1001_2^13 - 1417518113/72153128*c_1001_2^12 - 1966269973/72153128*c_1001_2^11 - 1357729161/36076564*c_1001_2^10 - 2897467411/72153128*c_1001_2^9 - 3255590983/72153128*c_1001_2^8 - 568134365/18038282*c_1001_2^7 - 2471391725/72153128*c_1001_2^6 - 464989405/36076564*c_1001_2^5 - 489515885/36076564*c_1001_2^4 - 210384011/72153128*c_1001_2^3 + 34002229/36076564*c_1001_2^2 + 103976615/72153128*c_1001_2 + 33777209/72153128, c_1001_10 + 6953333/72153128*c_1001_2^18 + 2036526/9019141*c_1001_2^17 + 51169439/36076564*c_1001_2^16 + 216857177/72153128*c_1001_2^15 + 660057295/72153128*c_1001_2^14 + 1197373245/72153128*c_1001_2^13 + 2366110947/72153128*c_1001_2^12 + 3519248763/72153128*c_1001_2^11 + 2530495553/36076564*c_1001_2^10 + 5820736569/72153128*c_1001_2^9 + 6523960145/72153128*c_1001_2^8 + 657941834/9019141*c_1001_2^7 + 4870604495/72153128*c_1001_2^6 + 1149355723/36076564*c_1001_2^5 + 899296203/36076564*c_1001_2^4 + 264592273/72153128*c_1001_2^3 + 28560949/36076564*c_1001_2^2 - 202356545/72153128*c_1001_2 - 75082543/72153128, c_1001_2^19 + 2*c_1001_2^18 + 14*c_1001_2^17 + 27*c_1001_2^16 + 87*c_1001_2^15 + 151*c_1001_2^14 + 307*c_1001_2^13 + 453*c_1001_2^12 + 666*c_1001_2^11 + 777*c_1001_2^10 + 909*c_1001_2^9 + 752*c_1001_2^8 + 759*c_1001_2^7 + 384*c_1001_2^6 + 334*c_1001_2^5 + 91*c_1001_2^4 + 30*c_1001_2^3 - 5*c_1001_2^2 - 11*c_1001_2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB