Magma V2.19-8 Tue Aug 20 2013 16:08:55 on localhost [Seed = 4088556871] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m113 geometric_solution 3.55387966 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 2 0132 0132 3201 1302 0 0 0 0 0 -1 0 1 0 0 0 0 -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 1 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 0.963686948551 0.987685691099 0 2 3 3 0132 1302 2310 0132 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 1 -1 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 0.052650872715 0.535016124382 0 0 0 1 2310 0132 2031 2031 0 0 0 0 0 1 -1 0 1 0 -1 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 -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 0.493919192136 0.518683762625 4 1 1 4 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.395464554758 0.531492390332 3 4 4 3 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.019808816373 0.398415194147 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), '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_0']), 'c_0110_4' : d['c_0101_0'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 269534191/464589439*c_0101_4^12 + 159904599/464589439*c_0101_4^11 + 947999510/464589439*c_0101_4^10 - 5799031829/464589439*c_0101_4^9 - 2084710351/464589439*c_0101_4^8 + 24185552553/464589439*c_0101_4^7 + 992726778/464589439*c_0101_4^6 - 32887741455/464589439*c_0101_4^5 + 11867074835/464589439*c_0101_4^4 + 24410101692/464589439*c_0101_4^3 - 5167238763/464589439*c_0101_4^2 - 10213037960/464589439*c_0101_4 - 3426927716/464589439, c_0011_0 - 1, c_0011_3 - 149501611/464589439*c_0101_4^12 + 302138768/464589439*c_0101_4^11 + 39011213/464589439*c_0101_4^10 - 3092983485/464589439*c_0101_4^9 + 3107444797/464589439*c_0101_4^8 + 7934551219/464589439*c_0101_4^7 - 8381838035/464589439*c_0101_4^6 - 5250035633/464589439*c_0101_4^5 + 9115273169/464589439*c_0101_4^4 + 2186993957/464589439*c_0101_4^3 - 3402110887/464589439*c_0101_4^2 - 1865272240/464589439*c_0101_4 - 413978160/464589439, c_0101_0 - 69305986/464589439*c_0101_4^12 + 180355610/464589439*c_0101_4^11 - 102090718/464589439*c_0101_4^10 - 1313538523/464589439*c_0101_4^9 + 2137034893/464589439*c_0101_4^8 + 2174242854/464589439*c_0101_4^7 - 4319193490/464589439*c_0101_4^6 + 193790182/464589439*c_0101_4^5 + 2466665862/464589439*c_0101_4^4 + 218460149/464589439*c_0101_4^3 - 531857822/464589439*c_0101_4^2 - 1368511574/464589439*c_0101_4 - 23253048/464589439, c_0101_1 + 158234982/464589439*c_0101_4^12 - 361725456/464589439*c_0101_4^11 + 101478242/464589439*c_0101_4^10 + 3141538830/464589439*c_0101_4^9 - 4072199284/464589439*c_0101_4^8 - 6447411110/464589439*c_0101_4^7 + 9500251855/464589439*c_0101_4^6 + 1356654098/464589439*c_0101_4^5 - 7658413641/464589439*c_0101_4^4 - 55917263/464589439*c_0101_4^3 + 1438443427/464589439*c_0101_4^2 + 1865478061/464589439*c_0101_4 - 1345176/464589439, c_0101_4^13 - 2*c_0101_4^12 + 20*c_0101_4^10 - 20*c_0101_4^9 - 48*c_0101_4^8 + 48*c_0101_4^7 + 26*c_0101_4^6 - 47*c_0101_4^5 - 15*c_0101_4^4 + 11*c_0101_4^3 + 14*c_0101_4^2 + 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB