Magma V2.19-8 Tue Aug 20 2013 16:18:11 on localhost [Seed = 2631729574] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2406 geometric_solution 5.76354373 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416628381256 0.095775057692 0 2 0 3 0132 0132 1023 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 1 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 -0.363100562532 1.341355966486 3 1 4 5 3201 0132 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 -1 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 0.700264508503 1.088484481727 6 4 1 2 0132 3201 0132 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700264508503 1.088484481727 5 6 3 2 1230 0321 2310 0132 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 -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 0.478705892394 0.353240632267 6 4 2 6 2031 3012 0132 0321 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 -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 0.748469130795 0.969608386344 3 5 5 4 0132 0321 1302 0321 0 0 0 0 0 0 1 -1 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 -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 0.748469130795 0.969608386344 ==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' : negation(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' : negation(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_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0011_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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1217616637/12997544*c_0101_5^8 + 702798307/12997544*c_0101_5^7 - 1088414253/1856792*c_0101_5^6 + 2136481365/928396*c_0101_5^5 + 654146223/1624693*c_0101_5^4 + 27563887719/12997544*c_0101_5^3 + 12997240719/12997544*c_0101_5^2 + 14783405387/12997544*c_0101_5 + 266843179/12997544, c_0011_0 - 1, c_0011_3 - 4827/33157*c_0101_5^8 + 1920/33157*c_0101_5^7 - 32858/33157*c_0101_5^6 + 113056/33157*c_0101_5^5 + 25472/33157*c_0101_5^4 + 182534/33157*c_0101_5^3 + 136985/33157*c_0101_5^2 + 121823/33157*c_0101_5 + 30838/33157, c_0011_4 + 31257/33157*c_0101_5^8 - 9960/33157*c_0101_5^7 + 191174/33157*c_0101_5^6 - 719106/33157*c_0101_5^5 - 331078/33157*c_0101_5^4 - 760387/33157*c_0101_5^3 - 480583/33157*c_0101_5^2 - 447521/33157*c_0101_5 - 106092/33157, c_0011_5 + c_0101_5, c_0101_1 + 23616/33157*c_0101_5^8 - 1501/33157*c_0101_5^7 + 140459/33157*c_0101_5^6 - 503399/33157*c_0101_5^5 - 402324/33157*c_0101_5^4 - 578887/33157*c_0101_5^3 - 541154/33157*c_0101_5^2 - 420608/33157*c_0101_5 - 115739/33157, c_0101_4 - 419/33157*c_0101_5^8 + 5133/33157*c_0101_5^7 - 4226/33157*c_0101_5^6 + 38650/33157*c_0101_5^5 - 110950/33157*c_0101_5^4 - 46767/33157*c_0101_5^3 - 76995/33157*c_0101_5^2 - 32254/33157*c_0101_5 - 18789/33157, c_0101_5^9 + 6*c_0101_5^7 - 21*c_0101_5^6 - 18*c_0101_5^5 - 27*c_0101_5^4 - 24*c_0101_5^3 - 20*c_0101_5^2 - 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB