Magma V2.19-8 Tue Aug 20 2013 16:16:35 on localhost [Seed = 913812202] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0882 geometric_solution 4.78482339 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 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 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.423880935763 0.534706919853 2 3 4 0 1302 0132 0132 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 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 1.230641536703 0.769061431982 5 1 0 3 0132 2031 0132 0213 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 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 1.230641536703 0.769061431982 6 1 5 2 0132 0132 2031 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.038924453446 1.435695118941 6 6 5 1 3201 1230 3120 0132 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 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 0.586689712093 0.375999872493 2 6 4 3 0132 3120 3120 1302 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.149347470140 0.451672093959 3 5 4 4 0132 3120 3012 2310 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317188830809 0.095424903556 ==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_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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 319009468/354865*c_0101_5^8 - 1698551616/354865*c_0101_5^7 + 2787911888/354865*c_0101_5^6 - 925518656/354865*c_0101_5^5 + 18881364/354865*c_0101_5^4 + 855394109/354865*c_0101_5^3 + 1709665592/354865*c_0101_5^2 + 979934534/354865*c_0101_5 + 254344701/354865, c_0011_0 - 1, c_0011_1 - 23976/10139*c_0101_5^8 + 124440/10139*c_0101_5^7 - 189916/10139*c_0101_5^6 + 28488/10139*c_0101_5^5 + 31224/10139*c_0101_5^4 - 82590/10139*c_0101_5^3 - 120928/10139*c_0101_5^2 - 88867/10139*c_0101_5 - 21697/10139, c_0011_2 - 23976/10139*c_0101_5^8 + 124440/10139*c_0101_5^7 - 189916/10139*c_0101_5^6 + 28488/10139*c_0101_5^5 + 31224/10139*c_0101_5^4 - 82590/10139*c_0101_5^3 - 120928/10139*c_0101_5^2 - 88867/10139*c_0101_5 - 21697/10139, c_0011_4 - 28244/10139*c_0101_5^8 + 155320/10139*c_0101_5^7 - 271864/10139*c_0101_5^6 + 116904/10139*c_0101_5^5 + 3696/10139*c_0101_5^4 - 100357/10139*c_0101_5^3 - 122048/10139*c_0101_5^2 - 59866/10139*c_0101_5 - 6122/10139, c_0101_2 + 58252/10139*c_0101_5^8 - 311392/10139*c_0101_5^7 + 513552/10139*c_0101_5^6 - 168676/10139*c_0101_5^5 - 10420/10139*c_0101_5^4 + 158379/10139*c_0101_5^3 + 313888/10139*c_0101_5^2 + 172048/10139*c_0101_5 + 35321/10139, c_0101_3 - 42256/10139*c_0101_5^8 + 215460/10139*c_0101_5^7 - 312656/10139*c_0101_5^6 + 5836/10139*c_0101_5^5 + 89456/10139*c_0101_5^4 - 151750/10139*c_0101_5^3 - 249417/10139*c_0101_5^2 - 166798/10139*c_0101_5 - 39322/10139, c_0101_5^9 - 5*c_0101_5^8 + 7*c_0101_5^7 - c_0101_5^5 + 11/4*c_0101_5^4 + 25/4*c_0101_5^3 + 19/4*c_0101_5^2 + 7/4*c_0101_5 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB