Magma V2.19-8 Tue Aug 20 2013 16:18:41 on localhost [Seed = 2134827635] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2849 geometric_solution 6.07392860 oriented_manifold CS_known -0.0000000000000003 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 1.421196134664 0.426234984123 0 2 3 0 3201 0132 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 0 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882890038888 0.315660004940 4 1 3 5 0132 0132 1302 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 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746924386626 0.609156141940 2 6 4 1 2031 0132 1023 0132 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 1 -1 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 0.746924386626 0.609156141940 2 5 3 6 0132 3012 1023 2103 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 0 -1 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 0.577808079534 0.589218891666 4 6 2 6 1230 0213 0132 3120 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 0.422110602238 0.746654365507 5 3 5 4 3120 0132 0213 2103 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 0 0.422110602238 0.746654365507 ==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_0011_3'], 'c_1100_5' : negation(d['c_0011_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' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], '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' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], '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_3, c_0011_5, c_0101_0, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 248947/120632*c_0101_4*c_1001_1^6 + 415665/60316*c_0101_4*c_1001_1^5 - 845805/60316*c_0101_4*c_1001_1^4 - 3346339/120632*c_0101_4*c_1001_1^3 + 2977155/120632*c_0101_4*c_1001_1^2 + 120599/7096*c_0101_4*c_1001_1 - 782487/15079*c_0101_4, c_0011_0 - 1, c_0011_1 - 329/7096*c_1001_1^6 + 765/7096*c_1001_1^5 - 635/3548*c_1001_1^4 - 6835/7096*c_1001_1^3 + 7/887*c_1001_1^2 + 710/887*c_1001_1 - 7847/7096, c_0011_3 - 275/7096*c_0101_4*c_1001_1^6 + 1211/7096*c_0101_4*c_1001_1^5 - 1469/3548*c_0101_4*c_1001_1^4 - 1173/7096*c_0101_4*c_1001_1^3 + 723/887*c_0101_4*c_1001_1^2 + 92/887*c_0101_4*c_1001_1 - 6861/7096*c_0101_4, c_0011_5 - 275/7096*c_0101_4*c_1001_1^6 + 1211/7096*c_0101_4*c_1001_1^5 - 1469/3548*c_0101_4*c_1001_1^4 - 1173/7096*c_0101_4*c_1001_1^3 + 723/887*c_0101_4*c_1001_1^2 + 92/887*c_0101_4*c_1001_1 - 6861/7096*c_0101_4, c_0101_0 + 237/7096*c_1001_1^6 - 605/7096*c_1001_1^5 + 479/3548*c_1001_1^4 + 3759/7096*c_1001_1^3 + 273/1774*c_1001_1^2 - 1581/1774*c_1001_1 - 9/7096, c_0101_4^2 - 251/7096*c_1001_1^6 + 1015/7096*c_1001_1^5 - 657/3548*c_1001_1^4 - 2993/7096*c_1001_1^3 + 647/887*c_1001_1^2 + 1000/887*c_1001_1 - 10365/7096, c_1001_1^7 - 4*c_1001_1^6 + 9*c_1001_1^5 + 9*c_1001_1^4 - 21*c_1001_1^3 + 31*c_1001_1 - 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB