Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 2084429992] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1221 geometric_solution 5.11690005 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.474685681917 0.492169232575 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 0 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 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 0 0 0 0.984753450290 1.052639955827 3 0 4 1 2310 0132 0132 3012 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 -1 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 0 0 0 0.984753450290 1.052639955827 3 1 2 3 3201 0132 3201 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287953379189 0.787993830240 5 5 1 2 0132 2310 0132 0132 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 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 0.257988334381 1.113471130121 4 6 6 4 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.428426861081 0.394817446326 5 5 6 6 2310 0132 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 2.550146960447 0.375182645820 ==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' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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' : 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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], '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_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], '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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 2205/1019*c_0101_3*c_0101_6^9 - 15963/1019*c_0101_3*c_0101_6^8 - 27549/1019*c_0101_3*c_0101_6^7 + 4468/1019*c_0101_3*c_0101_6^6 + 75187/1019*c_0101_3*c_0101_6^5 + 90472/1019*c_0101_3*c_0101_6^4 + 35814/1019*c_0101_3*c_0101_6^3 - 9524/1019*c_0101_3*c_0101_6^2 - 11749/1019*c_0101_3*c_0101_6 - 13271/1019*c_0101_3, c_0011_0 - 1, c_0011_4 + 711/1019*c_0101_3*c_0101_6^9 + 3991/1019*c_0101_3*c_0101_6^8 + 1276/1019*c_0101_3*c_0101_6^7 - 9705/1019*c_0101_3*c_0101_6^6 - 10240/1019*c_0101_3*c_0101_6^5 + 1988/1019*c_0101_3*c_0101_6^4 + 1965/1019*c_0101_3*c_0101_6^3 - 169/1019*c_0101_3*c_0101_6^2 + 798/1019*c_0101_3*c_0101_6 - 508/1019*c_0101_3, c_0101_0 - 2044/1019*c_0101_6^9 - 11032/1019*c_0101_6^8 - 1722/1019*c_0101_6^7 + 26563/1019*c_0101_6^6 + 26718/1019*c_0101_6^5 - 5890/1019*c_0101_6^4 - 6969/1019*c_0101_6^3 - 3808/1019*c_0101_6^2 - 355/1019*c_0101_6 + 2928/1019, c_0101_1 - 663/1019*c_0101_6^9 - 3369/1019*c_0101_6^8 + 272/1019*c_0101_6^7 + 7115/1019*c_0101_6^6 + 5391/1019*c_0101_6^5 - 723/1019*c_0101_6^4 + 2837/1019*c_0101_6^3 - 956/1019*c_0101_6^2 - 1015/1019*c_0101_6 + 521/1019, c_0101_2 + 1232/1019*c_0101_3*c_0101_6^9 + 6454/1019*c_0101_3*c_0101_6^8 - 9/1019*c_0101_3*c_0101_6^7 - 16206/1019*c_0101_3*c_0101_6^6 - 14066/1019*c_0101_3*c_0101_6^5 + 5295/1019*c_0101_3*c_0101_6^4 + 4368/1019*c_0101_3*c_0101_6^3 + 4752/1019*c_0101_3*c_0101_6^2 + 884/1019*c_0101_3*c_0101_6 - 2044/1019*c_0101_3, c_0101_3^2 + 1381/1019*c_0101_6^9 + 7663/1019*c_0101_6^8 + 1994/1019*c_0101_6^7 - 19448/1019*c_0101_6^6 - 21327/1019*c_0101_6^5 + 5167/1019*c_0101_6^4 + 9806/1019*c_0101_6^3 + 2852/1019*c_0101_6^2 - 660/1019*c_0101_6 - 2407/1019, c_0101_6^10 + 6*c_0101_6^9 + 4*c_0101_6^8 - 13*c_0101_6^7 - 21*c_0101_6^6 - 4*c_0101_6^5 + 6*c_0101_6^4 + 4*c_0101_6^3 + 2*c_0101_6^2 - c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB