Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 2033771947] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1321 geometric_solution 5.20576583 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 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 -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 0.508412514849 0.547932681574 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 1 -1 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 1.090030029974 0.980704194460 3 0 4 1 2310 0132 3201 3012 0 0 0 0 0 1 -1 0 -1 0 0 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 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 1.090030029974 0.980704194460 3 1 2 3 3201 0132 3201 2310 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.326511152939 0.718093990025 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.409049445517 0.468931393203 6 4 6 4 0132 0132 2310 1023 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889587246061 0.328092820066 5 5 6 6 0132 3201 1230 3012 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 0.584351114329 0.203588469983 ==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_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 2524/43*c_0101_5*c_0101_6^10 - 4192/43*c_0101_5*c_0101_6^9 - 4810/43*c_0101_5*c_0101_6^8 + 14044/43*c_0101_5*c_0101_6^7 + 44353/43*c_0101_5*c_0101_6^6 - 8338/43*c_0101_5*c_0101_6^5 - 57007/43*c_0101_5*c_0101_6^4 + 1595/43*c_0101_5*c_0101_6^3 + 17434/43*c_0101_5*c_0101_6^2 + 697/43*c_0101_5*c_0101_6 + 440/43*c_0101_5, c_0011_0 - 1, c_0011_4 - 207/43*c_0101_5*c_0101_6^10 - 304/43*c_0101_5*c_0101_6^9 - 294/43*c_0101_5*c_0101_6^8 + 1306/43*c_0101_5*c_0101_6^7 + 3535/43*c_0101_5*c_0101_6^6 - 1486/43*c_0101_5*c_0101_6^5 - 5183/43*c_0101_5*c_0101_6^4 + 750/43*c_0101_5*c_0101_6^3 + 1907/43*c_0101_5*c_0101_6^2 - 54/43*c_0101_5*c_0101_6 - 103/43*c_0101_5, c_0101_0 - 79/43*c_0101_6^10 - 51/43*c_0101_6^9 - 10/43*c_0101_6^8 + 616/43*c_0101_6^7 + 970/43*c_0101_6^6 - 1698/43*c_0101_6^5 - 1724/43*c_0101_6^4 + 1699/43*c_0101_6^3 + 771/43*c_0101_6^2 - 316/43*c_0101_6 - 117/43, c_0101_1 + 393/43*c_0101_6^10 + 546/43*c_0101_6^9 + 446/43*c_0101_6^8 - 2654/43*c_0101_6^7 - 6669/43*c_0101_6^6 + 3680/43*c_0101_6^5 + 10894/43*c_0101_6^4 - 2125/43*c_0101_6^3 - 5095/43*c_0101_6^2 + 153/43*c_0101_6 + 643/43, c_0101_2 - 2*c_0101_5*c_0101_6^10 - 3*c_0101_5*c_0101_6^9 - 2*c_0101_5*c_0101_6^8 + 14*c_0101_5*c_0101_6^7 + 36*c_0101_5*c_0101_6^6 - 19*c_0101_5*c_0101_6^5 - 67*c_0101_5*c_0101_6^4 + 11*c_0101_5*c_0101_6^3 + 43*c_0101_5*c_0101_6^2 - 2*c_0101_5*c_0101_6 - 10*c_0101_5, c_0101_5^2 + 372/43*c_0101_6^10 + 441/43*c_0101_6^9 + 304/43*c_0101_6^8 - 2653/43*c_0101_6^7 - 5881/43*c_0101_6^6 + 4775/43*c_0101_6^5 + 10003/43*c_0101_6^4 - 3567/43*c_0101_6^3 - 4828/43*c_0101_6^2 + 456/43*c_0101_6 + 650/43, c_0101_6^11 + 2*c_0101_6^10 + 2*c_0101_6^9 - 6*c_0101_6^8 - 21*c_0101_6^7 - c_0101_6^6 + 33*c_0101_6^5 + 11*c_0101_6^4 - 16*c_0101_6^3 - 7*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB