Magma V2.19-8 Tue Aug 20 2013 16:14:36 on localhost [Seed = 661044000] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s593 geometric_solution 5.07067487 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 1 0 2 2310 0132 3201 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 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465988658446 0.565433487335 3 0 4 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.145411081732 1.664025211279 1 4 0 5 3012 3120 0132 0132 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 -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 1.027434929318 0.716598387732 1 5 3 3 0132 2310 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239273540181 0.623245757642 5 2 5 1 1023 3120 1302 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.939289172566 0.837845598815 4 4 2 3 2031 1023 0132 3201 0 0 0 0 0 0 -1 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 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 0.664720905723 1.155973237871 ==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_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : negation(d['c_0101_0']), '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_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_4']), 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_2'])})} 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_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 8924110335/134208112*c_0101_5^9 + 41269482789/134208112*c_0101_5^8 - 69698226631/134208112*c_0101_5^7 + 35441709635/67104056*c_0101_5^6 - 7820413537/134208112*c_0101_5^5 - 132387759273/134208112*c_0101_5^4 + 262853374067/134208112*c_0101_5^3 - 135427461057/67104056*c_0101_5^2 + 146246478845/134208112*c_0101_5 - 4774085945/16776014, c_0011_0 - 1, c_0011_2 + 1505600/8388007*c_0101_5^9 - 3151965/8388007*c_0101_5^8 - 4931915/8388007*c_0101_5^7 + 11076858/8388007*c_0101_5^6 - 15408936/8388007*c_0101_5^5 + 15793883/8388007*c_0101_5^4 + 15986940/8388007*c_0101_5^3 - 40178082/8388007*c_0101_5^2 + 40299723/8388007*c_0101_5 - 11333943/8388007, c_0011_4 - 4702255/33552028*c_0101_5^9 + 30729897/33552028*c_0101_5^8 - 79438035/33552028*c_0101_5^7 + 53256727/16776014*c_0101_5^6 - 56827989/33552028*c_0101_5^5 - 92353537/33552028*c_0101_5^4 + 284796343/33552028*c_0101_5^3 - 201976793/16776014*c_0101_5^2 + 290621193/33552028*c_0101_5 - 20832924/8388007, c_0101_0 + 112424845/33552028*c_0101_5^9 - 531741243/33552028*c_0101_5^8 + 914398285/33552028*c_0101_5^7 - 455643245/16776014*c_0101_5^6 + 102486111/33552028*c_0101_5^5 + 1717475843/33552028*c_0101_5^4 - 3443805053/33552028*c_0101_5^3 + 1757326973/16776014*c_0101_5^2 - 1860487683/33552028*c_0101_5 + 108577285/8388007, c_0101_1 - 39628975/33552028*c_0101_5^9 + 211618185/33552028*c_0101_5^8 - 418016123/33552028*c_0101_5^7 + 221257783/16776014*c_0101_5^6 - 132711593/33552028*c_0101_5^5 - 659312149/33552028*c_0101_5^4 + 1533772455/33552028*c_0101_5^3 - 859247825/16776014*c_0101_5^2 + 1007636205/33552028*c_0101_5 - 61603024/8388007, c_0101_5^10 - 27/5*c_0101_5^9 + 57/5*c_0101_5^8 - 14*c_0101_5^7 + 7*c_0101_5^6 + 71/5*c_0101_5^5 - 41*c_0101_5^4 + 266/5*c_0101_5^3 - 199/5*c_0101_5^2 + 84/5*c_0101_5 - 16/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB