Magma V2.19-8 Tue Aug 20 2013 23:44:00 on localhost [Seed = 104883181] Type ? for help. Type -D to quit. Loading file "L14n15386__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15386 geometric_solution 10.66021870 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 -1 1 0 0 0 1 -1 1 -3 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684760615710 0.632193907504 0 5 7 6 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462890019235 0.672560617355 7 0 9 8 0132 0132 0132 0132 1 0 1 1 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 1 -1 0 0 0 0 0 1 -1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678590119320 0.869596796887 5 4 6 0 3120 0321 2031 0132 1 0 1 0 0 0 0 0 2 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 1 0 0 -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 1.080511386009 0.969431643179 9 8 0 3 0132 0132 0132 0321 1 0 1 1 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678590119320 0.869596796887 10 1 7 3 0132 0132 1023 3120 0 0 1 1 0 0 0 0 1 0 1 -2 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462890019235 0.672560617355 10 8 1 3 2103 1023 0132 1302 0 0 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085082009056 1.024466177182 2 9 5 1 0132 1230 1023 0132 0 0 1 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 0 0 0 0 0 1 -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 0.718760524322 1.224135869766 6 4 2 10 1023 0132 0132 2103 1 0 1 1 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 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373948570124 1.011743876985 4 10 7 2 0132 2103 3012 0132 1 0 1 1 0 0 0 0 1 0 -1 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 -1 1 1 0 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373948570124 1.011743876985 5 9 6 8 0132 2103 2103 2103 1 0 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684760615710 0.632193907504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0101_5']), 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0110_6']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0110_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0110_6'], '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_7'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0110_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 11/5*c_1001_2 - 7/5, c_0011_0 - 1, c_0011_3 + c_1001_0*c_1001_2 + 2*c_1001_0 + 1, c_0011_4 + c_1001_0 + 1, c_0101_0 - 1, c_0101_1 + c_1001_0*c_1001_2 + c_1001_0 + c_1001_2 + 1, c_0101_3 + 2*c_1001_2 + 3, c_0101_5 - c_1001_0*c_1001_2 - c_1001_0, c_0101_7 + c_1001_0*c_1001_2 + 2*c_1001_0 + c_1001_2 + 1, c_0110_6 + c_1001_2 + 1, c_1001_0^2 + c_1001_0 - c_1001_2, c_1001_2^2 + c_1001_2 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0110_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 84/187*c_1001_2^7 + 2104/187*c_1001_2^6 + 1213/187*c_1001_2^5 - 1711/187*c_1001_2^4 + 1212/187*c_1001_2^3 + 5138/187*c_1001_2^2 - 5484/187*c_1001_2 + 4108/187, c_0011_0 - 1, c_0011_3 + 195/374*c_1001_2^7 + 659/748*c_1001_2^6 + 329/748*c_1001_2^5 - 317/748*c_1001_2^4 - 125/374*c_1001_2^3 - 455/748*c_1001_2^2 + 193/187*c_1001_2 - 241/374, c_0011_4 + 43/187*c_1001_2^7 + 293/374*c_1001_2^6 + 218/187*c_1001_2^5 + 283/374*c_1001_2^4 + 199/374*c_1001_2^3 + 168/187*c_1001_2^2 + 158/187*c_1001_2 + 37/187, c_0101_0 - 1, c_0101_1 + 71/187*c_1001_2^7 + 131/187*c_1001_2^6 + 183/748*c_1001_2^5 - 86/187*c_1001_2^4 - 43/748*c_1001_2^3 - 269/748*c_1001_2^2 + 213/374*c_1001_2 - 152/187, c_0101_3 - 131/187*c_1001_2^7 - 218/187*c_1001_2^6 - 443/748*c_1001_2^5 + 237/748*c_1001_2^4 - 67/374*c_1001_2^3 + 181/374*c_1001_2^2 - 290/187*c_1001_2 + 919/748, c_0101_5 + 71/187*c_1001_2^7 + 131/187*c_1001_2^6 + 183/748*c_1001_2^5 - 86/187*c_1001_2^4 - 43/748*c_1001_2^3 - 269/748*c_1001_2^2 + 213/374*c_1001_2 - 152/187, c_0101_7 - 195/374*c_1001_2^7 - 659/748*c_1001_2^6 - 329/748*c_1001_2^5 + 317/748*c_1001_2^4 + 125/374*c_1001_2^3 + 455/748*c_1001_2^2 - 193/187*c_1001_2 + 241/374, c_0110_6 + 105/374*c_1001_2^7 + 585/748*c_1001_2^6 + 695/748*c_1001_2^5 + 491/748*c_1001_2^4 + 103/187*c_1001_2^3 + 129/748*c_1001_2^2 + 219/187*c_1001_2 + 43/187, c_1001_0 + 43/187*c_1001_2^7 + 293/374*c_1001_2^6 + 218/187*c_1001_2^5 + 283/374*c_1001_2^4 + 199/374*c_1001_2^3 + 168/187*c_1001_2^2 + 158/187*c_1001_2 + 37/187, c_1001_2^8 + 3/2*c_1001_2^7 + c_1001_2^6 + 1/2*c_1001_2^5 + 3/2*c_1001_2^4 + 3*c_1001_2^2 - 2*c_1001_2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB