Magma V2.19-8 Tue Aug 20 2013 16:17:20 on localhost [Seed = 172725955] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1573 geometric_solution 5.35493134 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 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 1 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 1.054719582494 0.459607450825 0 4 5 3 0132 0132 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 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 0.587058195094 0.783029244109 2 0 0 2 3201 0132 1023 2310 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 -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 1.215576453870 0.242616597421 5 1 0 4 2310 1302 0132 0132 0 0 0 0 0 0 -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 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 0.587058195094 0.783029244109 4 1 3 4 3201 0132 0132 2310 0 0 0 0 0 0 -1 1 -1 0 1 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 -1 0 1 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 -0.025340065572 0.716048024942 6 6 3 1 0132 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 -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 0.111129637929 0.455398466114 5 6 5 6 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.148698822505 0.902092548481 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], '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_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), '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_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 92/27*c_0101_4^3 + 64/27*c_0101_4^2 - 109/9*c_0101_4 - 139/27, c_0011_0 - 1, c_0011_3 + c_0101_4^3 - 3*c_0101_4 + 1, c_0011_5 + c_0101_4^2 - 1, c_0101_0 - c_0101_4^3 + 3*c_0101_4 - 1, c_0101_1 + c_0101_4 - 1, c_0101_2 - c_0101_4^3 + 4*c_0101_4 - 1, c_0101_4^4 - 4*c_0101_4^2 + c_0101_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 225691529437781420/56047212843279*c_0101_4^19 - 3684459694273562/381273556757*c_0101_4^18 - 292287525994941641/8006744691897*c_0101_4^17 + 2008109775151735289/56047212843279*c_0101_4^16 + 918751972189345781/8006744691897*c_0101_4^15 - 2419644283323607001/56047212843279*c_0101_4^14 - 10196598007189308746/56047212843279*c_0101_4^13 + 1254682883078405419/56047212843279*c_0101_4^12 + 10017571672831659670/56047212843279*c_0101_4^11 + 202768272431006042/56047212843279*c_0101_4^10 - 51200461760558665/421407615363*c_0101_4^9 - 1043735372460890770/56047212843279*c_0101_4^8 + 3178371669147477347/56047212843279*c_0101_4^7 + 304766288082548955/18682404281093*c_0101_4^6 - 323704239063737733/18682404281093*c_0101_4^5 - 406508657540905489/56047212843279*c_0101_4^4 + 64166438359728776/18682404281093*c_0101_4^3 + 35042000246260156/18682404281093*c_0101_4^2 - 21476269222477723/56047212843279*c_0101_4 - 13977866448411788/56047212843279, c_0011_0 - 1, c_0011_3 - 20*c_0101_4^19 + 34*c_0101_4^18 + 217*c_0101_4^17 - 55*c_0101_4^16 - 715*c_0101_4^15 - 178*c_0101_4^14 + 1112*c_0101_4^13 + 534*c_0101_4^12 - 1040*c_0101_4^11 - 671*c_0101_4^10 + 649*c_0101_4^9 + 549*c_0101_4^8 - 247*c_0101_4^7 - 303*c_0101_4^6 + 37*c_0101_4^5 + 107*c_0101_4^4 + 8*c_0101_4^3 - 24*c_0101_4^2 - 4*c_0101_4 + 3, c_0011_5 - 134136786750860/381273556757*c_0101_4^19 + 333489806483722/381273556757*c_0101_4^18 + 1221293611852969/381273556757*c_0101_4^17 - 1378657635421072/381273556757*c_0101_4^16 - 3997066542915794/381273556757*c_0101_4^15 + 2018882326274356/381273556757*c_0101_4^14 + 6702017141102375/381273556757*c_0101_4^13 - 1474443250443032/381273556757*c_0101_4^12 - 6899485303180855/381273556757*c_0101_4^11 + 430443862445147/381273556757*c_0101_4^10 + 256412729182255/20067029303*c_0101_4^9 + 369192890352706/381273556757*c_0101_4^8 - 2394586964627813/381273556757*c_0101_4^7 - 521837446690219/381273556757*c_0101_4^6 + 774872380407217/381273556757*c_0101_4^5 + 271119546816310/381273556757*c_0101_4^4 - 162059954919068/381273556757*c_0101_4^3 - 74883135472983/381273556757*c_0101_4^2 + 20255573166341/381273556757*c_0101_4 + 10831681092646/381273556757, c_0101_0 - 76507480301020/381273556757*c_0101_4^19 + 206733786884274/381273556757*c_0101_4^18 + 645354004789429/381273556757*c_0101_4^17 - 901037874273120/381273556757*c_0101_4^16 - 2051421881433328/381273556757*c_0101_4^15 + 1468590055430552/381273556757*c_0101_4^14 + 3434048161486894/381273556757*c_0101_4^13 - 1316083429875697/381273556757*c_0101_4^12 - 3553483109163578/381273556757*c_0101_4^11 + 676922634915678/381273556757*c_0101_4^10 + 133631942725870/20067029303*c_0101_4^9 - 66747045694197/381273556757*c_0101_4^8 - 1279932643117257/381273556757*c_0101_4^7 - 167601120491442/381273556757*c_0101_4^6 + 428802397852330/381273556757*c_0101_4^5 + 116061731217439/381273556757*c_0101_4^4 - 91736153309300/381273556757*c_0101_4^3 - 35167479908812/381273556757*c_0101_4^2 + 11305708068698/381273556757*c_0101_4 + 5434937988543/381273556757, c_0101_1 - 117443848899900/381273556757*c_0101_4^19 + 295626552979970/381273556757*c_0101_4^18 + 1048080831762097/381273556757*c_0101_4^17 - 1209879148465518/381273556757*c_0101_4^16 - 3359488835125095/381273556757*c_0101_4^15 + 1767354084176552/381273556757*c_0101_4^14 + 5526680320941015/381273556757*c_0101_4^13 - 1337017256664195/381273556757*c_0101_4^12 - 5614875930288803/381273556757*c_0101_4^11 + 456433185308621/381273556757*c_0101_4^10 + 206948059576865/20067029303*c_0101_4^9 + 244876264342106/381273556757*c_0101_4^8 - 1922405692666236/381273556757*c_0101_4^7 - 393743211810292/381273556757*c_0101_4^6 + 623144533876738/381273556757*c_0101_4^5 + 208444969785233/381273556757*c_0101_4^4 - 131179260324932/381273556757*c_0101_4^3 - 58186377436131/381273556757*c_0101_4^2 + 16198895573356/381273556757*c_0101_4 + 8250880454377/381273556757, c_0101_2 - 39058044832200/381273556757*c_0101_4^19 + 128154394795040/381273556757*c_0101_4^18 + 280613741398560/381273556757*c_0101_4^17 - 661789572989395/381273556757*c_0101_4^16 - 934595556449820/381273556757*c_0101_4^15 + 1303331040121821/381273556757*c_0101_4^14 + 1797480162742489/381273556757*c_0101_4^13 - 1356113690136020/381273556757*c_0101_4^12 - 2065510029246030/381273556757*c_0101_4^11 + 836178133299733/381273556757*c_0101_4^10 + 84835169349146/20067029303*c_0101_4^9 - 256041533454002/381273556757*c_0101_4^8 - 901802039664328/381273556757*c_0101_4^7 - 53799007870144/381273556757*c_0101_4^6 + 329476619275647/381273556757*c_0101_4^5 + 77759388540846/381273556757*c_0101_4^4 - 73715420896319/381273556757*c_0101_4^3 - 27089306274546/381273556757*c_0101_4^2 + 9570678502145/381273556757*c_0101_4 + 5006825432963/381273556757, c_0101_4^20 - 17/10*c_0101_4^19 - 217/20*c_0101_4^18 + 11/4*c_0101_4^17 + 143/4*c_0101_4^16 + 89/10*c_0101_4^15 - 278/5*c_0101_4^14 - 267/10*c_0101_4^13 + 52*c_0101_4^12 + 671/20*c_0101_4^11 - 649/20*c_0101_4^10 - 549/20*c_0101_4^9 + 247/20*c_0101_4^8 + 303/20*c_0101_4^7 - 37/20*c_0101_4^6 - 107/20*c_0101_4^5 - 2/5*c_0101_4^4 + 6/5*c_0101_4^3 + 1/4*c_0101_4^2 - 3/20*c_0101_4 - 1/20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB