Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 2614757242] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0571 geometric_solution 4.59212570 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 2310 0 0 0 0 0 -1 0 1 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 1 -1 0 0 1 -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 1.516105428068 0.568399690093 0 3 4 3 0132 1230 0132 2310 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 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 0.462018678034 1.043572134294 0 0 5 5 3201 0132 3201 0132 0 0 0 0 0 1 0 -1 -1 0 1 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 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 0.389832886930 0.353189125099 1 4 1 0 3201 0132 3012 0132 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 0 0 1 -1 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 0.462018678034 1.043572134294 6 3 6 1 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.408802480154 1.276376960703 2 5 2 5 2310 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.286432795606 0.496091581722 4 4 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417698606743 0.090628844592 ==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_1'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0101_1']), '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_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_5, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 113*c_0101_5^5 + 170*c_0101_5^4 - 875*c_0101_5^3 - 245*c_0101_5^2 + 683*c_0101_5 + 233, c_0011_0 - 1, c_0011_3 - c_0101_5, c_0011_5 + c_0101_5^5 + 2*c_0101_5^4 - 7*c_0101_5^3 - 6*c_0101_5^2 + 6*c_0101_5 + 4, c_0101_0 - 3*c_0101_5^5 - 5*c_0101_5^4 + 23*c_0101_5^3 + 11*c_0101_5^2 - 20*c_0101_5 - 9, c_0101_1 + 5*c_0101_5^5 + 8*c_0101_5^4 - 38*c_0101_5^3 - 14*c_0101_5^2 + 30*c_0101_5 + 12, c_0101_4 - c_0101_5^5 - 2*c_0101_5^4 + 7*c_0101_5^3 + 6*c_0101_5^2 - 6*c_0101_5 - 4, c_0101_5^6 + 2*c_0101_5^5 - 7*c_0101_5^4 - 6*c_0101_5^3 + 5*c_0101_5^2 + 5*c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 16261/70925*c_0101_5^9 + 7593/70925*c_0101_5^8 + 280118/70925*c_0101_5^7 + 310746/70925*c_0101_5^6 - 526289/70925*c_0101_5^5 - 1228057/70925*c_0101_5^4 - 219182/14185*c_0101_5^3 - 1253457/70925*c_0101_5^2 - 1457204/70925*c_0101_5 - 123053/14185, c_0011_0 - 1, c_0011_3 + 9011/2837*c_0101_5^9 + 24311/2837*c_0101_5^8 - 23014/2837*c_0101_5^7 - 78893/2837*c_0101_5^6 - 57562/2837*c_0101_5^5 - 56855/2837*c_0101_5^4 - 115806/2837*c_0101_5^3 - 59243/2837*c_0101_5^2 + 16499/2837*c_0101_5 - 36996/2837, c_0011_5 + 3654/2837*c_0101_5^9 + 9930/2837*c_0101_5^8 - 8815/2837*c_0101_5^7 - 31812/2837*c_0101_5^6 - 25730/2837*c_0101_5^5 - 24501/2837*c_0101_5^4 - 47116/2837*c_0101_5^3 - 26088/2837*c_0101_5^2 + 4496/2837*c_0101_5 - 13153/2837, c_0101_0 - 3198/2837*c_0101_5^9 - 9138/2837*c_0101_5^8 + 6732/2837*c_0101_5^7 + 29561/2837*c_0101_5^6 + 25752/2837*c_0101_5^5 + 22240/2837*c_0101_5^4 + 42657/2837*c_0101_5^3 + 26438/2837*c_0101_5^2 - 865/2837*c_0101_5 + 10892/2837, c_0101_1 + 6947/2837*c_0101_5^9 + 19233/2837*c_0101_5^8 - 16572/2837*c_0101_5^7 - 62433/2837*c_0101_5^6 - 48404/2837*c_0101_5^5 - 46621/2837*c_0101_5^4 - 91293/2837*c_0101_5^3 - 48434/2837*c_0101_5^2 + 10964/2837*c_0101_5 - 26762/2837, c_0101_4 + 932/2837*c_0101_5^9 + 2216/2837*c_0101_5^8 - 2590/2837*c_0101_5^7 - 6069/2837*c_0101_5^6 - 4982/2837*c_0101_5^5 - 7931/2837*c_0101_5^4 - 14912/2837*c_0101_5^3 - 5755/2837*c_0101_5^2 - 816/2837*c_0101_5 - 5094/2837, c_0101_5^10 + 4*c_0101_5^9 + c_0101_5^8 - 12*c_0101_5^7 - 18*c_0101_5^6 - 15*c_0101_5^5 - 21*c_0101_5^4 - 23*c_0101_5^3 - 7*c_0101_5^2 - 2*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB