Magma V2.19-8 Tue Aug 20 2013 16:18:16 on localhost [Seed = 3852761297] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2481 geometric_solution 5.81349590 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 1 -1 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 0.578177476129 0.831432854220 0 2 6 5 0132 2310 0132 0132 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 1 -1 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 0.222886374530 0.307207939872 2 0 2 1 2031 0132 1302 3201 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 -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 -0.026072706985 2.773736567421 5 6 5 0 0132 2103 1230 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 -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 0.692580922239 0.283444861674 5 4 0 4 1302 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 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 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559371373031 0.437775933104 3 4 1 3 0132 2031 0132 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 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 0.713109694713 1.287966356401 6 3 6 1 2310 2103 3201 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 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758212812406 1.621097789493 ==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' : 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' : 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' : 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' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0110_2']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_2'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0110_2']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 894283/908864*c_0110_2*c_1001_0^8 - 6654365/908864*c_0110_2*c_1001_0^7 + 19593169/908864*c_0110_2*c_1001_0^6 - 28755843/908864*c_0110_2*c_1001_0^5 + 23763033/908864*c_0110_2*c_1001_0^4 - 148475/56804*c_0110_2*c_1001_0^3 - 13514477/454432*c_0110_2*c_1001_0^2 + 1251075/113608*c_0110_2*c_1001_0 + 1130993/113608*c_0110_2, c_0011_0 - 1, c_0011_3 + 330/1291*c_1001_0^8 - 4207/2582*c_1001_0^7 + 4846/1291*c_1001_0^6 - 4220/1291*c_1001_0^5 + 147/1291*c_1001_0^4 + 6526/1291*c_1001_0^3 - 21079/2582*c_1001_0^2 - 4472/1291*c_1001_0 + 4697/1291, c_0011_4 - 2603/10328*c_1001_0^8 + 2086/1291*c_1001_0^7 - 9519/2582*c_1001_0^6 + 15861/5164*c_1001_0^5 + 811/5164*c_1001_0^4 - 51445/10328*c_1001_0^3 + 19763/2582*c_1001_0^2 + 24061/5164*c_1001_0 - 7853/2582, c_0011_6 - 2239/5164*c_0110_2*c_1001_0^8 + 3723/1291*c_0110_2*c_1001_0^7 - 18251/2582*c_0110_2*c_1001_0^6 + 9251/1291*c_0110_2*c_1001_0^5 - 2535/1291*c_0110_2*c_1001_0^4 - 36751/5164*c_0110_2*c_1001_0^3 + 36487/2582*c_0110_2*c_1001_0^2 + 11517/2582*c_0110_2*c_1001_0 - 8150/1291*c_0110_2, c_0101_0 + 3453/10328*c_0110_2*c_1001_0^8 - 5639/2582*c_0110_2*c_1001_0^7 + 6799/1291*c_0110_2*c_1001_0^6 - 27477/5164*c_0110_2*c_1001_0^5 + 9765/5164*c_0110_2*c_1001_0^4 + 46503/10328*c_0110_2*c_1001_0^3 - 24315/2582*c_0110_2*c_1001_0^2 - 20979/5164*c_0110_2*c_1001_0 + 9479/2582*c_0110_2, c_0110_2^2 - c_1001_0 - 1, c_1001_0^9 - 6*c_1001_0^8 + 12*c_1001_0^7 - 6*c_1001_0^6 - 6*c_1001_0^5 + 19*c_1001_0^4 - 22*c_1001_0^3 - 30*c_1001_0^2 + 8*c_1001_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB