Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 880126044] 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' : 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_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_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_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: 2 Groebner basis: [ t - 2*c_0101_3 - 3, c_0011_0 - 1, c_0011_3 + c_0101_3, c_0101_0 + 1, c_0101_1 + c_0101_3, c_0101_3^2 + c_0101_3 - 1, 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: 7 Groebner basis: [ t + 2967/1510*c_0101_5^6 + 127/755*c_0101_5^5 - 2319/755*c_0101_5^4 - 6687/1510*c_0101_5^3 + 2391/1510*c_0101_5^2 + 4499/755*c_0101_5 - 11169/1510, c_0011_0 - 1, c_0011_3 - 687/604*c_0101_5^6 - 143/302*c_0101_5^5 + 160/151*c_0101_5^4 + 1323/604*c_0101_5^3 - 495/604*c_0101_5^2 - 473/151*c_0101_5 + 1911/604, c_0101_0 - 156/151*c_0101_5^6 - 241/151*c_0101_5^5 - 127/151*c_0101_5^4 + 127/151*c_0101_5^3 + 123/151*c_0101_5^2 - 305/151*c_0101_5 + 66/151, c_0101_1 - 483/604*c_0101_5^6 - 421/302*c_0101_5^5 - 115/151*c_0101_5^4 + 611/604*c_0101_5^3 + 285/604*c_0101_5^2 - 231/151*c_0101_5 - 57/604, c_0101_3 + 687/604*c_0101_5^6 + 143/302*c_0101_5^5 - 160/151*c_0101_5^4 - 1323/604*c_0101_5^3 + 495/604*c_0101_5^2 + 473/151*c_0101_5 - 1911/604, c_0101_5^7 + 1/3*c_0101_5^6 - 2/3*c_0101_5^5 - c_0101_5^4 + 4/3*c_0101_5^3 + 7/3*c_0101_5^2 - 11/3*c_0101_5 + 5/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB