Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 3398129177] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1256 geometric_solution 5.15492631 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.488080119599 1.252740829258 0 4 5 5 0132 1302 2310 0132 0 0 0 0 0 1 0 -1 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 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 -1.331137382143 1.222875787543 6 0 6 4 0132 0132 2310 2031 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 0.642715523416 0.431893902599 3 3 4 0 1230 3012 1302 0132 0 0 0 0 0 -1 0 1 1 0 0 -1 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 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 1.488080119599 1.252740829258 3 2 0 1 2031 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729981723250 0.693047936901 5 1 1 5 3201 3201 0132 2310 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 0 0 0 0 -0.270018276750 0.693047936901 2 2 6 6 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487214497011 0.152167000218 ==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' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_6']})} 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_5, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 74/5*c_0101_6^5 + 293/5*c_0101_6^4 - 144/5*c_0101_6^3 - 613/5*c_0101_6^2 + 89/5*c_0101_6 + 213/5, c_0011_0 - 1, c_0011_3 - 13/5*c_0101_1*c_0101_6^5 - 56/5*c_0101_1*c_0101_6^4 + 8/5*c_0101_1*c_0101_6^3 + 116/5*c_0101_1*c_0101_6^2 + 7/5*c_0101_1*c_0101_6 - 46/5*c_0101_1, c_0011_4 + 4/5*c_0101_6^5 + 18/5*c_0101_6^4 + 1/5*c_0101_6^3 - 33/5*c_0101_6^2 - 6/5*c_0101_6 + 8/5, c_0011_5 - 4/5*c_0101_6^5 - 18/5*c_0101_6^4 - 1/5*c_0101_6^3 + 33/5*c_0101_6^2 + 6/5*c_0101_6 - 8/5, c_0101_1^2 + 43/65*c_0101_6^5 + 191/65*c_0101_6^4 + 12/65*c_0101_6^3 - 356/65*c_0101_6^2 - 97/65*c_0101_6 + 46/65, c_0101_2 - 3/5*c_0101_6^5 - 11/5*c_0101_6^4 + 8/5*c_0101_6^3 + 21/5*c_0101_6^2 - 3/5*c_0101_6 - 6/5, c_0101_6^6 + 4*c_0101_6^5 - 2*c_0101_6^4 - 9*c_0101_6^3 + 2*c_0101_6^2 + 4*c_0101_6 - 1 ], 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_5, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 135/8*c_0101_6^6 + 171/4*c_0101_6^5 + 3/2*c_0101_6^4 - 641/8*c_0101_6^3 - 111/2*c_0101_6^2 + 23*c_0101_6 + 157/8, c_0011_0 - 1, c_0011_3 + 315/74*c_0101_1*c_0101_6^6 + 154/37*c_0101_1*c_0101_6^5 - 330/37*c_0101_1*c_0101_6^4 - 853/74*c_0101_1*c_0101_6^3 + 170/37*c_0101_1*c_0101_6^2 + 199/37*c_0101_1*c_0101_6 + 13/74*c_0101_1, c_0011_4 + 35/37*c_0101_6^6 - 48/37*c_0101_6^5 - 172/37*c_0101_6^4 + 82/37*c_0101_6^3 + 305/37*c_0101_6^2 - 38/37*c_0101_6 - 163/37, c_0011_5 + 35/37*c_0101_6^6 - 48/37*c_0101_6^5 - 172/37*c_0101_6^4 + 82/37*c_0101_6^3 + 305/37*c_0101_6^2 - 38/37*c_0101_6 - 163/37, c_0101_1^2 - 410/259*c_0101_6^6 - 627/259*c_0101_6^5 + 667/259*c_0101_6^4 + 1566/259*c_0101_6^3 + 106/259*c_0101_6^2 - 797/259*c_0101_6 - 152/259, c_0101_2 + 15/37*c_0101_6^6 - 47/37*c_0101_6^5 - 79/37*c_0101_6^4 + 51/37*c_0101_6^3 + 99/37*c_0101_6^2 - 11/37*c_0101_6 - 17/37, c_0101_6^7 + 6/5*c_0101_6^6 - 12/5*c_0101_6^5 - 19/5*c_0101_6^4 + 8/5*c_0101_6^3 + 16/5*c_0101_6^2 - 1/5*c_0101_6 - 4/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB