Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 1932718005] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0296 geometric_solution 4.33970175 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 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 0.238121375424 0.056574604687 0 1 0 1 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 -2.007604998059 0.235216885491 3 0 3 0 0132 2310 2310 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.775627405335 1.651433409345 2 2 4 5 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209130076098 0.662636924719 6 5 5 3 0132 3012 1230 0132 0 0 0 0 0 0 0 0 1 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 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 1.101646134082 0.819964581596 4 6 3 4 1230 0132 0132 3012 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 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 1.101646134082 0.819964581596 4 5 6 6 0132 0132 1230 3012 0 0 0 0 0 0 0 0 -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 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 0.743181467105 0.834941799189 ==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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1886025002359549/32247045973071*c_0101_4^15 - 6218462896816835/32247045973071*c_0101_4^14 - 20905592206591478/32247045973071*c_0101_4^13 + 53762175160944419/32247045973071*c_0101_4^12 - 54268561127713930/32247045973071*c_0101_4^11 - 74004513649526234/32247045973071*c_0101_4^10 + 163431265348584233/32247045973071*c_0101_4^9 + 157203079453295674/32247045973071*c_0101_4^8 - 43079382130426927/32247045973071*c_0101_4^7 - 624637942268261107/32247045973071*c_0101_4^6 + 147607472185594192/10749015324357*c_0101_4^5 + 210656212841070986/32247045973071*c_0101_4^4 - 78701777969593747/10749015324357*c_0101_4^3 + 6486010498786498/10749015324357*c_0101_4^2 + 10017582628315336/10749015324357*c_0101_4 - 7789409174153339/32247045973071, c_0011_0 - 1, c_0011_2 + 14641996355015/10749015324357*c_0101_4^15 - 16040649424642/3583005108119*c_0101_4^14 - 160856002618292/10749015324357*c_0101_4^13 + 136486292491073/3583005108119*c_0101_4^12 - 438405745113395/10749015324357*c_0101_4^11 - 528578395447009/10749015324357*c_0101_4^10 + 1202563923311680/10749015324357*c_0101_4^9 + 390690994483470/3583005108119*c_0101_4^8 - 183577169343058/10749015324357*c_0101_4^7 - 4704838971882157/10749015324357*c_0101_4^6 + 3419843671581350/10749015324357*c_0101_4^5 + 368623444640147/3583005108119*c_0101_4^4 - 1405508707966814/10749015324357*c_0101_4^3 + 44835493162913/3583005108119*c_0101_4^2 + 146263181410523/10749015324357*c_0101_4 - 22357397958868/10749015324357, c_0011_4 - 10118700952382/10749015324357*c_0101_4^15 + 33136711547419/10749015324357*c_0101_4^14 + 112329002369312/10749015324357*c_0101_4^13 - 94516882708219/3583005108119*c_0101_4^12 + 289529652633661/10749015324357*c_0101_4^11 + 381990765658847/10749015324357*c_0101_4^10 - 279568374117981/3583005108119*c_0101_4^9 - 857349291077749/10749015324357*c_0101_4^8 + 149699129738815/10749015324357*c_0101_4^7 + 1113842266496087/3583005108119*c_0101_4^6 - 752620100581870/3583005108119*c_0101_4^5 - 982431276439603/10749015324357*c_0101_4^4 + 975793820189935/10749015324357*c_0101_4^3 - 20468800417169/10749015324357*c_0101_4^2 - 111940845127441/10749015324357*c_0101_4 + 16666303969844/10749015324357, c_0101_0 + 9309589443004/10749015324357*c_0101_4^15 - 9520902380901/3583005108119*c_0101_4^14 - 107868817783450/10749015324357*c_0101_4^13 + 233883897489230/10749015324357*c_0101_4^12 - 232509493586572/10749015324357*c_0101_4^11 - 359814807010735/10749015324357*c_0101_4^10 + 216496677644512/3583005108119*c_0101_4^9 + 882912874929739/10749015324357*c_0101_4^8 + 155894811457298/10749015324357*c_0101_4^7 - 2950135365531731/10749015324357*c_0101_4^6 + 483253568347834/3583005108119*c_0101_4^5 + 773100591228340/10749015324357*c_0101_4^4 - 363721418250992/10749015324357*c_0101_4^3 - 12693684198800/3583005108119*c_0101_4^2 + 6140734897665/3583005108119*c_0101_4 + 1456769080357/3583005108119, c_0101_1 + 29206450887269/10749015324357*c_0101_4^15 - 91214906381347/10749015324357*c_0101_4^14 - 333930515614219/10749015324357*c_0101_4^13 + 251638135008863/3583005108119*c_0101_4^12 - 767933663275529/10749015324357*c_0101_4^11 - 371358810553017/3583005108119*c_0101_4^10 + 2136741965592884/10749015324357*c_0101_4^9 + 883230436937353/3583005108119*c_0101_4^8 + 259717161262616/10749015324357*c_0101_4^7 - 9253999590314690/10749015324357*c_0101_4^6 + 5172456219602306/10749015324357*c_0101_4^5 + 2372378601466025/10749015324357*c_0101_4^4 - 1673811805123129/10749015324357*c_0101_4^3 + 7309316779965/3583005108119*c_0101_4^2 + 135476226873302/10749015324357*c_0101_4 - 16292762739284/10749015324357, c_0101_2 + 26799787566581/10749015324357*c_0101_4^15 - 84215153637590/10749015324357*c_0101_4^14 - 101819222240562/3583005108119*c_0101_4^13 + 701171783867623/10749015324357*c_0101_4^12 - 712207103368169/10749015324357*c_0101_4^11 - 343736239853735/3583005108119*c_0101_4^10 + 2012369118476303/10749015324357*c_0101_4^9 + 2404136849529581/10749015324357*c_0101_4^8 + 127567898552470/10749015324357*c_0101_4^7 - 2837532244866125/3583005108119*c_0101_4^6 + 1650007261844969/3583005108119*c_0101_4^5 + 764391762937688/3583005108119*c_0101_4^4 - 1866619022115380/10749015324357*c_0101_4^3 + 30771905339642/3583005108119*c_0101_4^2 + 60857058535432/3583005108119*c_0101_4 - 36153422354801/10749015324357, c_0101_4^16 - 3*c_0101_4^15 - 12*c_0101_4^14 + 25*c_0101_4^13 - 21*c_0101_4^12 - 46*c_0101_4^11 + 73*c_0101_4^10 + 107*c_0101_4^9 + 7*c_0101_4^8 - 333*c_0101_4^7 + 136*c_0101_4^6 + 161*c_0101_4^5 - 77*c_0101_4^4 - 24*c_0101_4^3 + 15*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB