Magma V2.19-8 Tue Aug 20 2013 23:38:41 on localhost [Seed = 4613198] Type ? for help. Type -D to quit. Loading file "K12a1286__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12a1286 geometric_solution 8.95936202 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 1023 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 -1 0 1 0 0 0 0 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367919691128 0.787516184630 0 4 0 4 0132 0132 1023 1023 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 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444562232287 0.181583860610 5 0 7 6 0132 0132 0132 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 1 -1 0 1 0 0 -1 12 -13 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.222727458805 1.495836039528 6 6 0 8 1023 1302 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 -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 -0.222727458805 1.495836039528 5 1 8 1 1023 0132 0132 1023 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 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.277634408909 0.719742330345 2 4 9 9 0132 1023 0132 3120 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 -1 0 0 1 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923910947785 1.833879295990 10 3 2 3 0132 1023 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.334382400965 0.306068723988 10 10 9 2 3120 1230 0321 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 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 0.372753106285 1.489460506703 10 9 3 4 1302 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 -1 -12 0 13 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923910947785 1.833879295990 5 8 7 5 3120 3120 0321 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 -1 1 0 -1 0 1 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.022585707089 0.544355060410 6 8 7 7 0132 2031 3012 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372753106285 1.489460506703 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_1001_8']), 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : negation(d['c_0011_7']), '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' : negation(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' : negation(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' : d['c_0101_7'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_8']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 28598721839/18368*c_1100_0^12 + 41987306115/9184*c_1100_0^11 + 409329013125/36736*c_1100_0^10 + 58906908913/2296*c_1100_0^9 - 231893798533/36736*c_1100_0^8 + 247494622725/1312*c_1100_0^7 - 4082869640797/9184*c_1100_0^6 + 16329512354037/18368*c_1100_0^5 - 10930184638119/9184*c_1100_0^4 + 7783519761181/9184*c_1100_0^3 - 1674314913275/5248*c_1100_0^2 + 1116960753997/18368*c_1100_0 - 170973019857/36736, c_0011_0 - 1, c_0011_10 - 19683/32*c_1100_0^12 - 32805/16*c_1100_0^11 - 338985/64*c_1100_0^10 - 200475/16*c_1100_0^9 - 208251/64*c_1100_0^8 - 1242621/16*c_1100_0^7 + 2302047/16*c_1100_0^6 - 9743661/32*c_1100_0^5 + 5845755/16*c_1100_0^4 - 3602021/16*c_1100_0^3 + 4782905/64*c_1100_0^2 - 413343/32*c_1100_0 + 59049/64, c_0011_7 + 20427/32*c_1100_0^12 + 4165/2*c_1100_0^11 + 340957/64*c_1100_0^10 + 401433/32*c_1100_0^9 + 145237/64*c_1100_0^8 + 639315/8*c_1100_0^7 - 1242457/8*c_1100_0^6 + 10373703/32*c_1100_0^5 - 6371963/16*c_1100_0^4 + 4044539/16*c_1100_0^3 - 5521777/64*c_1100_0^2 + 244647/16*c_1100_0 - 71523/64, c_0011_9 - 37871/32*c_1100_0^12 - 63087/16*c_1100_0^11 - 651533/64*c_1100_0^10 - 192591/8*c_1100_0^9 - 395103/64*c_1100_0^8 - 2388839/16*c_1100_0^7 + 4434703/16*c_1100_0^6 - 18743141/32*c_1100_0^5 + 11253113/16*c_1100_0^4 - 6922835/16*c_1100_0^3 + 9159445/64*c_1100_0^2 - 787373/32*c_1100_0 + 111701/64, c_0101_0 + 19675/16*c_1100_0^12 + 65579/16*c_1100_0^11 + 338811/32*c_1100_0^10 + 801469/32*c_1100_0^9 + 103951/16*c_1100_0^8 + 2484099/16*c_1100_0^7 - 4602877/16*c_1100_0^6 + 4870085/8*c_1100_0^5 - 730530*c_1100_0^4 + 3601125/8*c_1100_0^3 - 4782117/32*c_1100_0^2 + 826511/32*c_1100_0 - 1844, c_0101_1 + 19683/16*c_1100_0^12 + 32805/8*c_1100_0^11 + 338985/32*c_1100_0^10 + 200475/8*c_1100_0^9 + 208251/32*c_1100_0^8 + 1242621/8*c_1100_0^7 - 2302047/8*c_1100_0^6 + 9743661/16*c_1100_0^5 - 5845755/8*c_1100_0^4 + 3602021/8*c_1100_0^3 - 4782937/32*c_1100_0^2 + 413343/16*c_1100_0 - 59049/32, c_0101_10 + 19683/16*c_1100_0^12 + 32805/8*c_1100_0^11 + 338985/32*c_1100_0^10 + 200475/8*c_1100_0^9 + 208251/32*c_1100_0^8 + 1242621/8*c_1100_0^7 - 2302047/8*c_1100_0^6 + 9743661/16*c_1100_0^5 - 5845755/8*c_1100_0^4 + 3602021/8*c_1100_0^3 - 4782937/32*c_1100_0^2 + 413359/16*c_1100_0 - 59049/32, c_0101_2 + 59049/32*c_1100_0^12 + 98415/16*c_1100_0^11 + 1016955/64*c_1100_0^10 + 601425/16*c_1100_0^9 + 624753/64*c_1100_0^8 + 3727863/16*c_1100_0^7 - 6906141/16*c_1100_0^6 + 29230983/32*c_1100_0^5 - 17537265/16*c_1100_0^4 + 10806063/16*c_1100_0^3 - 14348779/64*c_1100_0^2 + 1240061/32*c_1100_0 - 177147/64, c_0101_7 + 20427/32*c_1100_0^12 + 4165/2*c_1100_0^11 + 340957/64*c_1100_0^10 + 401433/32*c_1100_0^9 + 145237/64*c_1100_0^8 + 639315/8*c_1100_0^7 - 1242457/8*c_1100_0^6 + 10373703/32*c_1100_0^5 - 6371963/16*c_1100_0^4 + 4044539/16*c_1100_0^3 - 5521777/64*c_1100_0^2 + 244647/16*c_1100_0 - 71523/64, c_1001_8 + 19683/32*c_1100_0^12 + 32805/16*c_1100_0^11 + 338985/64*c_1100_0^10 + 200475/16*c_1100_0^9 + 208251/64*c_1100_0^8 + 1242621/16*c_1100_0^7 - 2302047/16*c_1100_0^6 + 9743661/32*c_1100_0^5 - 5845755/16*c_1100_0^4 + 3602021/16*c_1100_0^3 - 4782905/64*c_1100_0^2 + 413343/32*c_1100_0 - 59049/64, c_1100_0^13 + 3*c_1100_0^12 + 15/2*c_1100_0^11 + 35/2*c_1100_0^10 - 3/2*c_1100_0^9 + 249/2*c_1100_0^8 - 276*c_1100_0^7 + 573*c_1100_0^6 - 759*c_1100_0^5 + 564*c_1100_0^4 - 487/2*c_1100_0^3 + 123/2*c_1100_0^2 - 17/2*c_1100_0 + 1/2 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 4457121151248316555063/37120937019829351612416*c_1100_0^13 + 9466855261534070899019/12373645673276450537472*c_1100_0^12 + 131135072529988592329421/18560468509914675806208*c_1100_0^11 - 1914710419817738890908859/18560468509914675806208*c_1100_0^10 + 22364014876917036033155671/37120937019829351612416*c_1100_0^9 - 20915650178641385727112331/12373645673276450537472*c_1100_0^8 + 6437160190384503537665705/3093411418319112634368*c_1100_0^7 - 14703519498426216798261181/9280234254957337903104*c_1100_0^6 + 349601509554624480555222119/37120937019829351612416*c_1100_0^5 - 17471367394217165012737357/700395038109987766272*c_1100_0^4 + 93490175488474495457174927/6186822836638225268736*c_1100_0^3 + 275301503096670284526740645/18560468509914675806208*c_1100_0^2 - 34937483376488582641001677/12373645673276450537472*c_1100_0 - 7309562133431573209625207/4124548557758816845824, c_0011_0 - 1, c_0011_10 - 4690490243/116799783026688*c_1100_0^13 + 9802475459/38933261008896*c_1100_0^12 + 69535152659/29199945756672*c_1100_0^11 - 998958984475/29199945756672*c_1100_0^10 + 23176797964649/116799783026688*c_1100_0^9 - 21470172144353/38933261008896*c_1100_0^8 + 824160737705/1216664406528*c_1100_0^7 - 4158052573499/7299986439168*c_1100_0^6 + 378497522218015/116799783026688*c_1100_0^5 - 954652021844269/116799783026688*c_1100_0^4 + 47471361182839/9733315252224*c_1100_0^3 + 116463437976599/29199945756672*c_1100_0^2 - 3365262386269/12977753669632*c_1100_0 + 12764993065935/12977753669632, c_0011_7 + 402909345/3244438417408*c_1100_0^13 - 15081124153/19466630504448*c_1100_0^12 - 48029229025/6488876834816*c_1100_0^11 + 2056477526527/19466630504448*c_1100_0^10 - 11865000798719/19466630504448*c_1100_0^9 + 2038267307413/1216664406528*c_1100_0^8 - 6422949489269/3244438417408*c_1100_0^7 + 4945196323845/3244438417408*c_1100_0^6 - 23621323693937/2433328813056*c_1100_0^5 + 477284386050215/19466630504448*c_1100_0^4 - 253558206535727/19466630504448*c_1100_0^3 - 94689782116399/6488876834816*c_1100_0^2 - 12772145407919/19466630504448*c_1100_0 - 575814049549/3244438417408, c_0011_9 + 9492312415/116799783026688*c_1100_0^13 - 1305212573/2433328813056*c_1100_0^12 - 135259823023/29199945756672*c_1100_0^11 + 4131758389885/58399891513344*c_1100_0^10 - 49723420444261/116799783026688*c_1100_0^9 + 24563987002669/19466630504448*c_1100_0^8 - 68610593927/38020762704*c_1100_0^7 + 50640055155985/29199945756672*c_1100_0^6 - 821466218489051/116799783026688*c_1100_0^5 + 551871724260587/29199945756672*c_1100_0^4 - 160173141273115/9733315252224*c_1100_0^3 - 183296670474575/58399891513344*c_1100_0^2 + 48256335275851/38933261008896*c_1100_0 - 504535769485/6488876834816, c_0101_0 - 11687403505/77866522017792*c_1100_0^13 + 71833121701/77866522017792*c_1100_0^12 + 351905001281/38933261008896*c_1100_0^11 - 1646457471603/12977753669632*c_1100_0^10 + 18802444850263/25955507339264*c_1100_0^9 - 152116911178273/77866522017792*c_1100_0^8 + 14249716401433/6488876834816*c_1100_0^7 - 31921686564091/19466630504448*c_1100_0^6 + 302926474114851/25955507339264*c_1100_0^5 - 2231125381734445/77866522017792*c_1100_0^4 + 501989182779481/38933261008896*c_1100_0^3 + 723722527912991/38933261008896*c_1100_0^2 + 250101492678947/77866522017792*c_1100_0 + 13259790779139/25955507339264, c_0101_1 + 26897145493/233599566053376*c_1100_0^13 - 18650705201/25955507339264*c_1100_0^12 - 800642153759/116799783026688*c_1100_0^11 + 11436678101911/116799783026688*c_1100_0^10 - 132141781740037/233599566053376*c_1100_0^9 + 40500929522185/25955507339264*c_1100_0^8 - 36532280168915/19466630504448*c_1100_0^7 + 90195457278217/58399891513344*c_1100_0^6 - 2157885715377029/233599566053376*c_1100_0^5 + 5391180987863993/233599566053376*c_1100_0^4 - 166328864204679/12977753669632*c_1100_0^3 - 1368238867346009/116799783026688*c_1100_0^2 - 182519124234361/77866522017792*c_1100_0 - 1248387680425/25955507339264, c_0101_10 + 4690490243/116799783026688*c_1100_0^13 - 9802475459/38933261008896*c_1100_0^12 - 69535152659/29199945756672*c_1100_0^11 + 998958984475/29199945756672*c_1100_0^10 - 23176797964649/116799783026688*c_1100_0^9 + 21470172144353/38933261008896*c_1100_0^8 - 824160737705/1216664406528*c_1100_0^7 + 4158052573499/7299986439168*c_1100_0^6 - 378497522218015/116799783026688*c_1100_0^5 + 954652021844269/116799783026688*c_1100_0^4 - 47471361182839/9733315252224*c_1100_0^3 - 116463437976599/29199945756672*c_1100_0^2 - 3123614448547/12977753669632*c_1100_0 - 6276116231119/12977753669632, c_0101_2 + 28103068747/116799783026688*c_1100_0^13 - 58870055411/38933261008896*c_1100_0^12 - 831377058353/58399891513344*c_1100_0^11 + 11979525816859/58399891513344*c_1100_0^10 - 139285328229643/116799783026688*c_1100_0^9 + 129634545657299/38933261008896*c_1100_0^8 - 40423552502333/9733315252224*c_1100_0^7 + 104850566642269/29199945756672*c_1100_0^6 - 2285464544560571/116799783026688*c_1100_0^5 + 5741186994004073/116799783026688*c_1100_0^4 - 591837869603483/19466630504448*c_1100_0^3 - 1232876587098245/58399891513344*c_1100_0^2 - 152508719658551/38933261008896*c_1100_0 - 12761233120161/12977753669632, c_0101_7 + 9626057501/233599566053376*c_1100_0^13 - 7389282397/25955507339264*c_1100_0^12 - 264652643353/116799783026688*c_1100_0^11 + 4273832041925/116799783026688*c_1100_0^10 - 52986403138793/233599566053376*c_1100_0^9 + 18337178975553/25955507339264*c_1100_0^8 - 21712517475097/19466630504448*c_1100_0^7 + 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