Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 2084429925] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s716 geometric_solution 5.22600590 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.381223683872 0.215523785414 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 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 -1 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 0.630979310079 0.908271911189 1 4 5 3 0132 0132 0132 2310 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040608969903 0.999560110908 2 5 4 1 3201 0132 3201 0132 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 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 0.040608969903 0.999560110908 3 2 4 4 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.324940680365 1.313293780935 5 3 5 2 2031 0132 1302 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 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474477176382 0.906646083375 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 18420332182667207/181411771737084624*c_0101_4^21 + 175796147331755177/181411771737084624*c_0101_4^19 - 93158920962449075/45352942934271156*c_0101_4^17 + 13918369866020431/30235295289514104*c_0101_4^15 + 1661693024689864105/181411771737084624*c_0101_4^13 + 714493274589962581/60470590579028208*c_0101_4^11 - 2254070097549523229/45352942934271156*c_0101_4^9 - 341074841361681040/11338235733567789*c_0101_4^7 + 3487596125012316313/90705885868542312*c_0101_4^5 + 7543598308379555689/181411771737084624*c_0101_4^3 + 628583241567247961/60470590579028208*c_0101_4, c_0011_0 - 1, c_0011_1 + 5436700574714/3779411911189263*c_0101_4^20 - 53401992764048/3779411911189263*c_0101_4^18 + 138056528305505/3779411911189263*c_0101_4^16 - 19951635294699/419934656798807*c_0101_4^14 - 226305338902465/3779411911189263*c_0101_4^12 - 256976088318362/1259803970396421*c_0101_4^10 + 2233585244356463/3779411911189263*c_0101_4^8 - 1523148060937796/3779411911189263*c_0101_4^6 + 847617473771521/3779411911189263*c_0101_4^4 + 842786021532602/3779411911189263*c_0101_4^2 + 306897931882709/419934656798807, c_0011_3 + 317422974484063/90705885868542312*c_0101_4^21 - 3094218442917937/90705885868542312*c_0101_4^19 + 1735399340170105/22676471467135578*c_0101_4^17 - 85418973910925/5039215881585684*c_0101_4^15 - 33017108241226865/90705885868542312*c_0101_4^13 - 7922921049438469/30235295289514104*c_0101_4^11 + 41272247137162441/22676471467135578*c_0101_4^9 + 6275384636473252/11338235733567789*c_0101_4^7 - 100381620393188513/45352942934271156*c_0101_4^5 - 51353721086062961/90705885868542312*c_0101_4^3 - 5922296804982883/10078431763171368*c_0101_4, c_0101_0 - 152261605803847/45352942934271156*c_0101_4^21 + 1557226509662497/45352942934271156*c_0101_4^19 - 1059210729023146/11338235733567789*c_0101_4^17 + 248570900003435/2519607940792842*c_0101_4^15 + 8548064451182225/45352942934271156*c_0101_4^13 + 4624812044331877/15117647644757052*c_0101_4^11 - 19272091547562334/11338235733567789*c_0101_4^9 + 3902062932755470/11338235733567789*c_0101_4^7 + 11358764188001897/22676471467135578*c_0101_4^5 + 55492098578062793/45352942934271156*c_0101_4^3 - 1239478217591669/5039215881585684*c_0101_4, c_0101_1 - 10212488578513/3779411911189263*c_0101_4^20 + 106984977126184/3779411911189263*c_0101_4^18 - 316127235572242/3779411911189263*c_0101_4^16 + 45786807850984/419934656798807*c_0101_4^14 + 530899563102035/3779411911189263*c_0101_4^12 + 152179686834541/1259803970396421*c_0101_4^10 - 4603922677898152/3779411911189263*c_0101_4^8 + 4257081334234288/3779411911189263*c_0101_4^6 - 827899039774613/3779411911189263*c_0101_4^4 - 1958442986948488/3779411911189263*c_0101_4^2 - 68528965253707/419934656798807, c_0101_4^22 - 10*c_0101_4^20 + 25*c_0101_4^18 - 18*c_0101_4^16 - 77*c_0101_4^14 - 84*c_0101_4^12 + 511*c_0101_4^10 + 44*c_0101_4^8 - 286*c_0101_4^6 - 245*c_0101_4^4 - 72*c_0101_4^2 - 81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB