Magma V2.19-8 Tue Aug 20 2013 17:56:38 on localhost [Seed = 2530681530] Type ? for help. Type -D to quit. Loading file "9^2_7__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_7 geometric_solution 10.39437266 oriented_manifold CS_known -0.0000000000000007 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392125106179 0.363114504511 0 5 4 4 0132 0132 2310 2103 0 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 0 -1 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 0.328100667321 0.974926795528 6 0 4 6 0132 0132 3201 2103 1 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 0 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 1.054165925212 1.117786235789 7 6 7 0 0132 2103 3120 0132 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 0 0 0 0 1 -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 0.605473595651 0.981596549575 2 1 0 1 2310 3201 0132 2103 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 1 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689924723104 0.921365684942 7 1 8 8 1230 0132 0132 0321 0 1 1 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 0 0 0 0 0 0 0 0 -1 1 0 -2 0 2 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 0.643961351265 0.651124353933 2 3 9 2 0132 2103 0132 2103 1 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 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 1.054165925212 1.117786235789 3 5 3 10 0132 3012 3120 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 1 -1 0 0 0 -1 1 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605473595651 0.981596549575 9 5 10 5 1302 0321 2103 0132 0 1 1 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 0 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232144509802 0.776396609807 10 8 10 6 3201 2031 0213 0132 1 0 1 1 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 0 0 0 -3 0 2 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644979399239 0.527935346263 8 9 7 9 2103 0213 0132 2310 1 1 0 1 0 0 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -1 3 -1 -2 0 3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644979399239 0.527935346263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_1100_10' : d['c_0011_9'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : d['c_0011_10'], '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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0011_4']})} 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_9, c_0101_0, c_0101_1, c_0101_5, c_0101_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 13276209527/1446146816*c_1001_0^10 + 37609855117/361536704*c_1001_0^9 - 754101792695/1446146816*c_1001_0^8 + 557767424779/361536704*c_1001_0^7 - 4612317586675/1446146816*c_1001_0^6 + 3761013368169/723073408*c_1001_0^5 - 4850664696019/723073408*c_1001_0^4 + 1089804388923/180768352*c_1001_0^3 - 4194840389905/1446146816*c_1001_0^2 + 31255700983/361536704*c_1001_0 + 521216224795/1446146816, c_0011_0 - 1, c_0011_10 - 851641/5649011*c_1001_0^10 + 8366871/5649011*c_1001_0^9 - 36164558/5649011*c_1001_0^8 + 92179655/5649011*c_1001_0^7 - 171135692/5649011*c_1001_0^6 + 258970223/5649011*c_1001_0^5 - 296200478/5649011*c_1001_0^4 + 208745470/5649011*c_1001_0^3 - 58385751/5649011*c_1001_0^2 - 10236348/5649011*c_1001_0 + 23351/5649011, c_0011_3 + 52925/5649011*c_1001_0^10 - 96600/5649011*c_1001_0^9 - 1451970/5649011*c_1001_0^8 + 8290084/5649011*c_1001_0^7 - 20335828/5649011*c_1001_0^6 + 36438292/5649011*c_1001_0^5 - 56026592/5649011*c_1001_0^4 + 59651104/5649011*c_1001_0^3 - 27940483/5649011*c_1001_0^2 - 3729194/5649011*c_1001_0 + 5902171/5649011, c_0011_4 + 2662277/5649011*c_1001_0^10 - 28784162/5649011*c_1001_0^9 + 138741282/5649011*c_1001_0^8 - 398691125/5649011*c_1001_0^7 + 814504883/5649011*c_1001_0^6 - 1321234473/5649011*c_1001_0^5 + 1685374205/5649011*c_1001_0^4 - 1502585003/5649011*c_1001_0^3 + 744459095/5649011*c_1001_0^2 - 71467207/5649011*c_1001_0 - 65107481/5649011, c_0011_9 - 631326/5649011*c_1001_0^10 + 6110206/5649011*c_1001_0^9 - 26040927/5649011*c_1001_0^8 + 65435152/5649011*c_1001_0^7 - 119775871/5649011*c_1001_0^6 + 177835954/5649011*c_1001_0^5 - 199056435/5649011*c_1001_0^4 + 134971656/5649011*c_1001_0^3 - 29281630/5649011*c_1001_0^2 - 11173590/5649011*c_1001_0 - 1372395/5649011, c_0101_0 - 1718730/5649011*c_1001_0^10 + 17818626/5649011*c_1001_0^9 - 82190404/5649011*c_1001_0^8 + 226030879/5649011*c_1001_0^7 - 446957444/5649011*c_1001_0^6 + 707406243/5649011*c_1001_0^5 - 870186448/5649011*c_1001_0^4 + 727407139/5649011*c_1001_0^3 - 314669608/5649011*c_1001_0^2 + 6161283/5649011*c_1001_0 + 29637988/5649011, c_0101_1 + 943547/5649011*c_1001_0^10 - 10965536/5649011*c_1001_0^9 + 56550878/5649011*c_1001_0^8 - 172660246/5649011*c_1001_0^7 + 367547439/5649011*c_1001_0^6 - 613828230/5649011*c_1001_0^5 + 815187757/5649011*c_1001_0^4 - 775177864/5649011*c_1001_0^3 + 429789487/5649011*c_1001_0^2 - 65305924/5649011*c_1001_0 - 35469493/5649011, c_0101_5 + 798716/5649011*c_1001_0^10 - 8270271/5649011*c_1001_0^9 + 37616528/5649011*c_1001_0^8 - 100469739/5649011*c_1001_0^7 + 191471520/5649011*c_1001_0^6 - 295408515/5649011*c_1001_0^5 + 352227070/5649011*c_1001_0^4 - 268396574/5649011*c_1001_0^3 + 86326234/5649011*c_1001_0^2 + 13965542/5649011*c_1001_0 - 5925522/5649011, c_0101_6 + 1087404/5649011*c_1001_0^10 - 11708420/5649011*c_1001_0^9 + 56149477/5649011*c_1001_0^8 - 160595727/5649011*c_1001_0^7 + 327181573/5649011*c_1001_0^6 - 529570289/5649011*c_1001_0^5 + 671130013/5649011*c_1001_0^4 - 592435483/5649011*c_1001_0^3 + 285387978/5649011*c_1001_0^2 - 17334873/5649011*c_1001_0 - 31010383/5649011, c_1001_0^11 - 12*c_1001_0^10 + 65*c_1001_0^9 - 212*c_1001_0^8 + 485*c_1001_0^7 - 862*c_1001_0^6 + 1226*c_1001_0^5 - 1320*c_1001_0^4 + 951*c_1001_0^3 - 356*c_1001_0^2 + 3*c_1001_0 + 32, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB