Magma V2.19-8 Tue Aug 20 2013 16:18:37 on localhost [Seed = 745386270] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2802 geometric_solution 6.03339426 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.214048959904 0.972847100482 0 4 5 0 0132 0132 0132 0213 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 -1 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 0.559655750332 1.317988576296 6 0 3 4 0132 0132 1023 3012 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.428671765083 0.564852478833 5 6 2 0 2031 2103 1023 0132 0 0 0 0 0 -1 1 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 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 1.268855082348 2.546402689282 6 1 2 6 3012 0132 1230 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 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 0.664280024091 0.434001974432 5 5 3 1 1230 3012 1302 0132 0 0 0 0 0 0 0 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 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884058998233 1.764881315392 2 3 4 4 0132 2103 0132 1230 0 0 0 0 0 0 0 0 -1 0 0 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 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 1.482012554897 1.002442321422 ==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' : 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_6'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1001_4'], 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_3']})} 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_5, c_0101_3, c_0101_4, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 1 Groebner basis: [ t - 64/15, c_0011_0 - 1, c_0011_3 - 1/2, c_0011_5 + 1, c_0101_3 + 3/4, c_0101_4 - 1/2, c_0101_6 + 1, c_1001_4 + 5/4 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_3, c_0101_4, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 21/11*c_1001_4^7 + 142/11*c_1001_4^6 + 324/11*c_1001_4^5 + 109/11*c_1001_4^4 - 650/11*c_1001_4^3 - 833/11*c_1001_4^2 - 12/11*c_1001_4 + 317/11, c_0011_0 - 1, c_0011_3 - 6/11*c_1001_4^7 - 28/11*c_1001_4^6 - 36/11*c_1001_4^5 + 27/11*c_1001_4^4 + 93/11*c_1001_4^3 + 51/11*c_1001_4^2 - 6/11*c_1001_4 - 12/11, c_0011_5 + 3/11*c_1001_4^7 + 14/11*c_1001_4^6 + 18/11*c_1001_4^5 - 8/11*c_1001_4^4 - 30/11*c_1001_4^3 - 20/11*c_1001_4^2 - 19/11*c_1001_4 - 5/11, c_0101_3 + 5/11*c_1001_4^7 + 27/11*c_1001_4^6 + 41/11*c_1001_4^5 - 17/11*c_1001_4^4 - 94/11*c_1001_4^3 - 59/11*c_1001_4^2 + 5/11*c_1001_4 + 10/11, c_0101_4 + 8/11*c_1001_4^7 + 41/11*c_1001_4^6 + 59/11*c_1001_4^5 - 36/11*c_1001_4^4 - 146/11*c_1001_4^3 - 68/11*c_1001_4^2 + 30/11*c_1001_4 + 5/11, c_0101_6 + 9/11*c_1001_4^7 + 42/11*c_1001_4^6 + 43/11*c_1001_4^5 - 79/11*c_1001_4^4 - 156/11*c_1001_4^3 + 6/11*c_1001_4^2 + 86/11*c_1001_4 - 4/11, c_1001_4^8 + 6*c_1001_4^7 + 11*c_1001_4^6 - 2*c_1001_4^5 - 27*c_1001_4^4 - 20*c_1001_4^3 + 8*c_1001_4^2 + 7*c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB