Magma V2.19-8 Tue Aug 20 2013 17:55:26 on localhost [Seed = 4172894000] Type ? for help. Type -D to quit. Loading file "10^2_180__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_180 geometric_solution 8.27477528 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 2 3 0132 0132 2031 0132 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 -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 0.434363637015 0.609157546472 0 3 5 4 0132 2103 0132 0132 1 0 0 1 0 -1 1 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 -3 3 0 0 0 0 0 0 -4 0 4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623769225625 0.626396896023 3 0 6 0 3012 0132 0132 1302 0 0 0 1 0 0 0 0 1 0 -1 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 1 -1 0 3 0 -3 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818555876490 0.881537188914 6 1 0 2 1023 2103 0132 1230 0 0 1 1 0 1 0 -1 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 4 -1 -3 0 0 0 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 -0.107074092502 1.443174892659 6 7 1 5 2031 0132 0132 3120 1 0 1 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 1 0 0 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.402430118796 0.903136916595 4 8 7 1 3120 0132 3201 0132 1 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 0 0 0 0 0 3 0 -3 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 0.270290421849 0.564040249417 7 3 4 2 3201 1023 1302 0132 0 0 1 1 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 -1 1 1 0 -4 3 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201791092212 0.801571417243 5 4 8 6 2310 0132 0321 2310 1 1 0 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 0 0 0 0 -4 4 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 0.857858676407 0.663095067262 8 5 7 8 3201 0132 0321 2310 1 1 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 -3 4 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828413383011 1.356906591449 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0011_3'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_8' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 506/13*c_0110_2^8 - 3720/13*c_0110_2^7 + 1612*c_0110_2^6 - 50300/13*c_0110_2^5 + 71922/13*c_0110_2^4 - 67328/13*c_0110_2^3 + 38613/13*c_0110_2^2 - 11690/13*c_0110_2 + 1407/13, c_0011_0 - 1, c_0011_3 + 49*c_0110_2^8 + 352*c_0110_2^7 - 2092*c_0110_2^6 + 5197*c_0110_2^5 - 7691*c_0110_2^4 + 7488*c_0110_2^3 - 4557*c_0110_2^2 + 1526*c_0110_2 - 212, c_0011_4 - 40*c_0110_2^8 - 288*c_0110_2^7 + 1703*c_0110_2^6 - 4215*c_0110_2^5 + 6212*c_0110_2^4 - 6018*c_0110_2^3 + 3633*c_0110_2^2 - 1199*c_0110_2 + 162, c_0011_5 + 472*c_0110_2^8 + 3472*c_0110_2^7 - 19535*c_0110_2^6 + 46833*c_0110_2^5 - 66769*c_0110_2^4 + 62382*c_0110_2^3 - 35562*c_0110_2^2 + 10707*c_0110_2 - 1280, c_0101_0 - 1, c_0101_1 + c_0110_2^8 + 7*c_0110_2^7 - 44*c_0110_2^6 + 114*c_0110_2^5 - 177*c_0110_2^4 + 183*c_0110_2^3 - 123*c_0110_2^2 + 50*c_0110_2 - 10, c_0101_2 + c_0110_2^8 + 7*c_0110_2^7 - 44*c_0110_2^6 + 114*c_0110_2^5 - 177*c_0110_2^4 + 183*c_0110_2^3 - 123*c_0110_2^2 + 50*c_0110_2 - 10, c_0101_7 - 936*c_0110_2^8 - 6920*c_0110_2^7 + 38465*c_0110_2^6 - 91568*c_0110_2^5 + 129606*c_0110_2^4 - 120189*c_0110_2^3 + 67690*c_0110_2^2 - 20034*c_0110_2 + 2350, c_0110_2^9 + 7*c_0110_2^8 - 44*c_0110_2^7 + 114*c_0110_2^6 - 177*c_0110_2^5 + 183*c_0110_2^4 - 123*c_0110_2^3 + 50*c_0110_2^2 - 11*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB