Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 1461111675] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0013 geometric_solution 3.56114472 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.301235518727 0.042563950590 0 1 1 0 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.482698237338 0.026011174881 3 0 0 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.367937450993 0.129741471630 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.378291277492 1.073083012794 6 3 5 6 0132 0132 1302 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013618480594 0.522582672298 4 6 6 3 2031 1230 2310 0132 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 1 0 -1 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013618480594 0.522582672298 4 5 5 4 0132 3201 3012 2103 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 0 1 1 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 0.013618480594 0.522582672298 ==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' : negation(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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_0101_6']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 14445/1088*c_0101_6^10 - 110241/544*c_0101_6^9 - 607419/544*c_0101_6^8 - 3536047/1088*c_0101_6^7 - 7325987/1088*c_0101_6^6 - 4740823/544*c_0101_6^5 - 4762375/544*c_0101_6^4 - 363673/64*c_0101_6^3 - 790253/272*c_0101_6^2 - 919281/1088*c_0101_6 - 200925/1088, c_0011_0 - 1, c_0011_5 + 3/2*c_0101_6^10 + 23*c_0101_6^9 + 128*c_0101_6^8 + 757/2*c_0101_6^7 + 1587/2*c_0101_6^6 + 1053*c_0101_6^5 + 1073*c_0101_6^4 + 1441/2*c_0101_6^3 + 373*c_0101_6^2 + 225/2*c_0101_6 + 49/2, c_0101_0 + 35/4*c_0101_6^10 + 183/2*c_0101_6^9 + 597/2*c_0101_6^8 + 2949/4*c_0101_6^7 + 4085/4*c_0101_6^6 + 2285/2*c_0101_6^5 + 1559/2*c_0101_6^4 + 1747/4*c_0101_6^3 + 117*c_0101_6^2 + 103/4*c_0101_6 - 21/4, c_0101_1 + 85/4*c_0101_6^10 + 451/2*c_0101_6^9 + 1515/2*c_0101_6^8 + 7539/4*c_0101_6^7 + 10823/4*c_0101_6^6 + 6083/2*c_0101_6^5 + 4393/2*c_0101_6^4 + 4965/4*c_0101_6^3 + 411*c_0101_6^2 + 401/4*c_0101_6 + 13/4, c_0101_2 + 4*c_0101_6^10 + 43*c_0101_6^9 + 149*c_0101_6^8 + 380*c_0101_6^7 + 575*c_0101_6^6 + 682*c_0101_6^5 + 539*c_0101_6^4 + 336*c_0101_6^3 + 129*c_0101_6^2 + 36*c_0101_6 + 2, c_0101_3 + 23*c_0101_6^10 + 245*c_0101_6^9 + 829*c_0101_6^8 + 2066*c_0101_6^7 + 2993*c_0101_6^6 + 3372*c_0101_6^5 + 2480*c_0101_6^4 + 1416*c_0101_6^3 + 499*c_0101_6^2 + 127*c_0101_6 + 10, c_0101_6^11 + 11*c_0101_6^10 + 40*c_0101_6^9 + 105*c_0101_6^8 + 170*c_0101_6^7 + 213*c_0101_6^6 + 188*c_0101_6^5 + 131*c_0101_6^4 + 65*c_0101_6^3 + 25*c_0101_6^2 + 6*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB