Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 2968595669] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s893 geometric_solution 5.63010861 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 -1 1 0 0 0 -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 1 0 -1 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 0 0 0 0.536465337894 0.713237944891 3 0 4 4 0132 0132 3012 0132 0 0 0 0 0 1 0 -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 -1 0 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 1.212920965165 1.104742160559 3 4 3 0 3012 1302 2310 0132 0 0 0 0 0 1 0 -1 0 0 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039343012591 1.147036454281 1 2 5 2 0132 3201 0132 1230 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 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 0.453055742876 0.533032813028 5 1 1 2 2310 1230 0132 2031 0 0 0 0 0 0 1 -1 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 0 0 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 0 0 0 0 0.826267497123 1.100050970217 5 5 4 3 1230 3012 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -1 0 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 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 0.326280689290 0.744519188069 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_4'])})} 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_2, c_0011_4, c_0011_5, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 643196277536675/31031762251402*c_1001_0^16 + 2170970312251985/31031762251402*c_1001_0^15 + 457385178842825/31031762251402*c_1001_0^14 - 302911327968567/2821069295582*c_1001_0^13 + 938077757173686/15515881125701*c_1001_0^12 - 479358919610503/2821069295582*c_1001_0^11 - 10554667742912680/15515881125701*c_1001_0^10 - 936232360292418/15515881125701*c_1001_0^9 + 5624114700906307/15515881125701*c_1001_0^8 + 3661253153453607/31031762251402*c_1001_0^7 - 15686491483476612/15515881125701*c_1001_0^6 + 4624524469405210/15515881125701*c_1001_0^5 + 5292113110004793/2821069295582*c_1001_0^4 + 319682120077960/1410534647791*c_1001_0^3 - 17020610695992397/31031762251402*c_1001_0^2 - 10602782852511995/31031762251402*c_1001_0 - 2191188812124745/31031762251402, c_0011_0 - 1, c_0011_2 - 5098803169896/15515881125701*c_1001_0^16 + 17120671876951/15515881125701*c_1001_0^15 + 3433453117110/15515881125701*c_1001_0^14 - 2305721436169/1410534647791*c_1001_0^13 + 17051580607189/15515881125701*c_1001_0^12 - 4011310005191/1410534647791*c_1001_0^11 - 168462128105358/15515881125701*c_1001_0^10 - 19377242097542/15515881125701*c_1001_0^9 + 64727759660899/15515881125701*c_1001_0^8 + 8215254502365/15515881125701*c_1001_0^7 - 245771299293137/15515881125701*c_1001_0^6 + 66610337161139/15515881125701*c_1001_0^5 + 39867942174026/1410534647791*c_1001_0^4 + 3760043219836/1410534647791*c_1001_0^3 - 87572395816183/15515881125701*c_1001_0^2 - 54317033624892/15515881125701*c_1001_0 - 20277289421707/15515881125701, c_0011_4 - 77964265868/89687174137*c_1001_0^16 + 250513036391/89687174137*c_1001_0^15 + 102094763256/89687174137*c_1001_0^14 - 37285651840/8153379467*c_1001_0^13 + 164585558406/89687174137*c_1001_0^12 - 52631669209/8153379467*c_1001_0^11 - 2681891157532/89687174137*c_1001_0^10 - 606763962457/89687174137*c_1001_0^9 + 1441480037846/89687174137*c_1001_0^8 + 614508171197/89687174137*c_1001_0^7 - 3816462189356/89687174137*c_1001_0^6 + 500554593234/89687174137*c_1001_0^5 + 679462342699/8153379467*c_1001_0^4 + 173037270377/8153379467*c_1001_0^3 - 2274792742111/89687174137*c_1001_0^2 - 1520827114875/89687174137*c_1001_0 - 291901802955/89687174137, c_0011_5 - 4163219644658/15515881125701*c_1001_0^16 + 12869058454550/15515881125701*c_1001_0^15 + 6557777565901/15515881125701*c_1001_0^14 - 1743272025212/1410534647791*c_1001_0^13 + 5179316639054/15515881125701*c_1001_0^12 - 2884017787843/1410534647791*c_1001_0^11 - 143561425173003/15515881125701*c_1001_0^10 - 55946642590137/15515881125701*c_1001_0^9 + 59285804390396/15515881125701*c_1001_0^8 + 47642815485434/15515881125701*c_1001_0^7 - 204204453059570/15515881125701*c_1001_0^6 - 7623322779736/15515881125701*c_1001_0^5 + 33536090653215/1410534647791*c_1001_0^4 + 14727461903525/1410534647791*c_1001_0^3 - 82865816939900/15515881125701*c_1001_0^2 - 108334087239720/15515881125701*c_1001_0 - 24298058941279/15515881125701, c_0101_2 - 429366349356/15515881125701*c_1001_0^16 + 4476794919271/15515881125701*c_1001_0^15 - 10770784327244/15515881125701*c_1001_0^14 - 144683281841/1410534647791*c_1001_0^13 + 17795344895096/15515881125701*c_1001_0^12 - 1489500452487/1410534647791*c_1001_0^11 + 12668731992326/15515881125701*c_1001_0^10 + 91805290668644/15515881125701*c_1001_0^9 - 12328341434427/15515881125701*c_1001_0^8 - 58822257401331/15515881125701*c_1001_0^7 - 27366153784459/15515881125701*c_1001_0^6 + 154353671277471/15515881125701*c_1001_0^5 - 5007756527626/1410534647791*c_1001_0^4 - 23708046788172/1410534647791*c_1001_0^3 + 34260974122091/15515881125701*c_1001_0^2 + 92866897688385/15515881125701*c_1001_0 + 26834506988842/15515881125701, c_1001_0^17 - 3*c_1001_0^16 - 2*c_1001_0^15 + 5*c_1001_0^14 - c_1001_0^13 + 7*c_1001_0^12 + 36*c_1001_0^11 + 15*c_1001_0^10 - 17*c_1001_0^9 - 12*c_1001_0^8 + 47*c_1001_0^7 + 4*c_1001_0^6 - 97*c_1001_0^5 - 44*c_1001_0^4 + 24*c_1001_0^3 + 26*c_1001_0^2 + 9*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB