Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 559988007] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s611 geometric_solution 5.08909303 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 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 1 0 -1 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 0.191623208933 1.350885491772 0 3 4 2 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734060120405 0.766349202376 1 4 3 0 3012 0132 3201 0132 0 0 0 0 0 1 0 -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 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 0.734060120405 0.766349202376 2 1 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534888912367 0.527066472538 5 2 5 1 0132 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.865449741421 0.805814171156 4 4 5 5 0132 3201 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469364855253 0.339703111015 ==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_0101_1'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_2, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 7289634204/36890003*c_0101_4^15 - 3679771596/36890003*c_0101_4^14 + 87099673624/36890003*c_0101_4^13 - 66109852463/36890003*c_0101_4^12 - 334659941424/36890003*c_0101_4^11 + 466510919584/36890003*c_0101_4^10 + 258784767816/36890003*c_0101_4^9 - 986324609416/36890003*c_0101_4^8 + 186524509718/36890003*c_0101_4^7 + 763188684398/36890003*c_0101_4^6 - 255871547398/36890003*c_0101_4^5 - 60681723582/36890003*c_0101_4^4 + 91974031112/36890003*c_0101_4^3 - 143409994357/36890003*c_0101_4^2 - 32740891073/36890003*c_0101_4 + 24377421247/36890003, c_0011_0 - 1, c_0011_2 + 451312344/36890003*c_0101_4^15 + 128592023/36890003*c_0101_4^14 - 5355604425/36890003*c_0101_4^13 + 5231929400/36890003*c_0101_4^12 + 18821035787/36890003*c_0101_4^11 - 31612423507/36890003*c_0101_4^10 - 7491784956/36890003*c_0101_4^9 + 56664161851/36890003*c_0101_4^8 - 20084237955/36890003*c_0101_4^7 - 37552332490/36890003*c_0101_4^6 + 16502991774/36890003*c_0101_4^5 + 602247040/36890003*c_0101_4^4 - 3438976071/36890003*c_0101_4^3 + 7873043114/36890003*c_0101_4^2 + 1162077845/36890003*c_0101_4 - 1231110145/36890003, c_0101_1 - 452655686/36890003*c_0101_4^15 - 186155291/36890003*c_0101_4^14 + 5390964651/36890003*c_0101_4^13 - 4585750373/36890003*c_0101_4^12 - 19954232358/36890003*c_0101_4^11 + 30047841669/36890003*c_0101_4^10 + 12496773816/36890003*c_0101_4^9 - 59160026561/36890003*c_0101_4^8 + 14731711582/36890003*c_0101_4^7 + 43562379724/36890003*c_0101_4^6 - 15922563965/36890003*c_0101_4^5 - 2856438399/36890003*c_0101_4^4 + 4956018324/36890003*c_0101_4^3 - 8465453411/36890003*c_0101_4^2 - 1747811985/36890003*c_0101_4 + 1460669900/36890003, c_0101_2 + 32454656/36890003*c_0101_4^15 - 22957600/36890003*c_0101_4^14 - 370863920/36890003*c_0101_4^13 + 742973791/36890003*c_0101_4^12 + 713571959/36890003*c_0101_4^11 - 3093637317/36890003*c_0101_4^10 + 2232071275/36890003*c_0101_4^9 + 2440167258/36890003*c_0101_4^8 - 3903490132/36890003*c_0101_4^7 + 373719938/36890003*c_0101_4^6 + 1155710249/36890003*c_0101_4^5 - 718791330/36890003*c_0101_4^4 + 352093627/36890003*c_0101_4^3 + 168991473/36890003*c_0101_4^2 - 83854128/36890003*c_0101_4 - 11269875/36890003, c_0101_3 + 43404464/36890003*c_0101_4^15 - 39560239/36890003*c_0101_4^14 - 493068875/36890003*c_0101_4^13 + 1107375495/36890003*c_0101_4^12 + 784071149/36890003*c_0101_4^11 - 4518177906/36890003*c_0101_4^10 + 3972192397/36890003*c_0101_4^9 + 3146867709/36890003*c_0101_4^8 - 6944391681/36890003*c_0101_4^7 + 2088256059/36890003*c_0101_4^6 + 2210557023/36890003*c_0101_4^5 - 2217004140/36890003*c_0101_4^4 + 998909804/36890003*c_0101_4^3 + 197933559/36890003*c_0101_4^2 - 409331809/36890003*c_0101_4 + 120150806/36890003, c_0101_4^16 - 12*c_0101_4^14 + 15*c_0101_4^13 + 39*c_0101_4^12 - 83*c_0101_4^11 + 2*c_0101_4^10 + 135*c_0101_4^9 - 83*c_0101_4^8 - 75*c_0101_4^7 + 66*c_0101_4^6 - 9*c_0101_4^5 - 10*c_0101_4^4 + 21*c_0101_4^3 - 3*c_0101_4^2 - 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB