Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 896837981] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s861 geometric_solution 5.49919580 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 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 0.117699284947 0.852668414039 0 4 1 1 0132 0132 2031 1302 0 0 0 0 0 1 0 -1 -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 0 0 0 0 0 0 0 0.434447175439 0.431447918477 5 0 4 3 0132 0132 3201 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1.117699284947 0.852668414039 5 5 2 0 3012 2103 1230 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372786255928 1.437159019706 2 1 0 5 2310 0132 0132 1302 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 1 -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 0.117699284947 0.852668414039 2 3 4 3 0132 2103 2031 1230 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 1 0 -1 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830889587570 0.651951488781 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : 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' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 9*c_0101_5^4 - 16*c_0101_5^3 + 4*c_0101_5^2 - 3*c_0101_5 + 11, c_0011_0 - 1, c_0011_3 + c_0101_5^3 - c_0101_5^2 - c_0101_5, c_0101_0 + c_0101_5^2 - 1, c_0101_1 + c_0101_5^3 - c_0101_5^2, c_0101_3 + c_0101_5^3 - c_0101_5^2 - c_0101_5, c_0101_5^5 - c_0101_5^4 - c_0101_5^3 + c_0101_5 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 7855/2256*c_0101_5^5 + 6415/564*c_0101_5^4 + 7013/752*c_0101_5^3 + 23741/2256*c_0101_5^2 + 19403/1128*c_0101_5 + 29603/2256, c_0011_0 - 1, c_0011_3 - 175/752*c_0101_5^5 - 245/376*c_0101_5^4 - 405/752*c_0101_5^3 - 457/752*c_0101_5^2 - 87/188*c_0101_5 - 493/752, c_0101_0 - 105/752*c_0101_5^5 - 25/94*c_0101_5^4 - 149/752*c_0101_5^3 - 763/752*c_0101_5^2 - 283/376*c_0101_5 - 89/752, c_0101_1 + 145/564*c_0101_5^5 + 255/376*c_0101_5^4 + 29/376*c_0101_5^3 + 49/282*c_0101_5^2 + 433/1128*c_0101_5 + 23/376, c_0101_3 - 175/752*c_0101_5^5 - 245/376*c_0101_5^4 - 405/752*c_0101_5^3 - 457/752*c_0101_5^2 - 87/188*c_0101_5 - 493/752, c_0101_5^6 + 3*c_0101_5^5 + 9/5*c_0101_5^4 + 2*c_0101_5^3 + 19/5*c_0101_5^2 + 3*c_0101_5 - 9/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB