Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 475889870] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1310 geometric_solution 5.19614208 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.500961787009 0.169020374827 0 2 2 0 3201 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 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 1.227769782241 0.267381560599 3 1 1 4 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 0 -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 0.792075099254 0.651173197713 2 5 4 6 0132 0132 3201 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.056294564879 0.620291506118 3 6 2 5 2310 1023 0132 2310 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 0.056294564879 0.620291506118 4 3 5 5 3201 0132 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169204897136 1.014020527705 4 6 3 6 1023 2310 0132 3201 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 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 -0.145115029438 1.598975324953 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : 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_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 155/3*c_0110_5^2 + 911/3*c_0110_5 - 428, c_0011_0 - 1, c_0011_1 + c_0110_5 - 1, c_0011_4 - 2*c_0110_5^2 + 6*c_0110_5 - 1, c_0101_0 - c_0110_5^2 + 3*c_0110_5, c_0101_2 + c_0110_5^2 - 3*c_0110_5 + 1, c_0101_3 + c_0110_5^2 - 3*c_0110_5, c_0110_5^3 - 6*c_0110_5^2 + 9*c_0110_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 8601325/2266863*c_0110_5^8 + 1236403/2266863*c_0110_5^7 + 103214942/755621*c_0110_5^6 + 238360298/2266863*c_0110_5^5 - 1509728576/2266863*c_0110_5^4 - 14048625/14257*c_0110_5^3 - 213776269/2266863*c_0110_5^2 + 728702362/2266863*c_0110_5 + 52810170/755621, c_0011_0 - 1, c_0011_1 + 487/14257*c_0110_5^8 - 947/14257*c_0110_5^7 - 16719/14257*c_0110_5^6 + 17183/14257*c_0110_5^5 + 86272/14257*c_0110_5^4 - 19984/14257*c_0110_5^3 - 108258/14257*c_0110_5^2 + 6824/14257*c_0110_5 + 31587/14257, c_0011_4 + 18195/755621*c_0110_5^8 - 10214/755621*c_0110_5^7 - 669677/755621*c_0110_5^6 - 189328/755621*c_0110_5^5 + 3876402/755621*c_0110_5^4 + 48107/14257*c_0110_5^3 - 2443935/755621*c_0110_5^2 - 839962/755621*c_0110_5 - 215806/755621, c_0101_0 - 39396/755621*c_0110_5^8 - 40975/755621*c_0110_5^7 + 1490125/755621*c_0110_5^6 + 2688133/755621*c_0110_5^5 - 7861398/755621*c_0110_5^4 - 334023/14257*c_0110_5^3 - 2937324/755621*c_0110_5^2 + 7365979/755621*c_0110_5 + 1574255/755621, c_0101_2 + 152463/755621*c_0110_5^8 - 109442/755621*c_0110_5^7 - 5365364/755621*c_0110_5^6 - 1232581/755621*c_0110_5^5 + 25407624/755621*c_0110_5^4 + 490296/14257*c_0110_5^3 - 1801650/755621*c_0110_5^2 - 7595953/755621*c_0110_5 - 1839098/755621, c_0101_3 - 3477/755621*c_0110_5^8 - 28438/755621*c_0110_5^7 + 188353/755621*c_0110_5^6 + 1040679/755621*c_0110_5^5 - 1778909/755621*c_0110_5^4 - 87574/14257*c_0110_5^3 + 646280/755621*c_0110_5^2 + 1974975/755621*c_0110_5 - 136760/755621, c_0110_5^9 - 36*c_0110_5^7 - 33*c_0110_5^6 + 171*c_0110_5^5 + 288*c_0110_5^4 + 63*c_0110_5^3 - 90*c_0110_5^2 - 36*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB