Magma V2.19-8 Tue Aug 20 2013 23:38:52 on localhost [Seed = 3583226260] Type ? for help. Type -D to quit. Loading file "K12n273__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n273 geometric_solution 10.01132819 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 1 0 -1 1 0 5 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253463344028 0.836483625628 0 5 7 6 0132 0132 0132 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 -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 0.593893149181 0.665448763552 4 0 8 6 1023 0132 0132 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 -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 0.003271066256 0.637489142051 9 8 5 0 0132 1230 2031 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 0 0 0 0 5 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372086188553 0.862288739313 9 2 0 7 3120 1023 0132 2031 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.056507449943 1.076677004675 9 1 10 3 1302 0132 0132 1302 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578128790742 0.977662714648 9 2 1 7 2103 2310 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.738487833984 0.732129242904 6 4 10 1 3120 1302 0321 0132 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 6 -6 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 0.165942467343 0.580859369583 10 10 3 2 1230 2031 3012 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373019798618 0.529802591431 3 5 6 4 0132 2031 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.387029468523 0.591009348851 8 8 7 5 1302 3012 0321 0132 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 -1 6 -5 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 0.373019798618 0.529802591431 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_8']), '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_1']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_6']), '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_0011_3'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_10'], '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_0011_7'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_10, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 985/126*c_1001_1^3 + 577/63*c_1001_1^2 - 25511/126*c_1001_1 + 2174/63, c_0011_0 - 1, c_0011_10 - 1/9*c_1001_1^3 + 2/9*c_1001_1^2 - 23/9*c_1001_1 + 13/9, c_0011_3 + 1/3*c_1001_1^3 - 5/9*c_1001_1^2 + 77/9*c_1001_1 - 44/9, c_0011_6 + 1/9*c_1001_1^2 - 1/9*c_1001_1 + 4/9, c_0011_7 - 1/9*c_1001_1^3 + 1/9*c_1001_1^2 - 22/9*c_1001_1 + 2, c_0011_8 - 1/9*c_1001_1^3 + 2/9*c_1001_1^2 - 23/9*c_1001_1 + 13/9, c_0101_0 + 1, c_0101_1 + 1/9*c_1001_1^3 - 2/9*c_1001_1^2 + 32/9*c_1001_1 - 13/9, c_0101_3 - 1/9*c_1001_1^2 + 1/9*c_1001_1 - 4/9, c_0101_8 - 1/3*c_1001_1^3 + 4/9*c_1001_1^2 - 76/9*c_1001_1 + 40/9, c_1001_1^4 - 2*c_1001_1^3 + 27*c_1001_1^2 - 26*c_1001_1 + 7 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1330/3*c_1001_1^3 + 29393/18*c_1001_1^2 - 103588/63*c_1001_1 + 1871/126, c_0011_0 - 1, c_0011_10 + 7/9*c_1001_1^3 - 19/9*c_1001_1^2 + 10/9*c_1001_1 + 1/3, c_0011_3 - 14/9*c_1001_1^3 + 52/9*c_1001_1^2 - 55/9*c_1001_1 + 2/9, c_0011_6 + 7/9*c_1001_1^2 - 13/9*c_1001_1 + 4/9, c_0011_7 - 7/9*c_1001_1^3 + 19/9*c_1001_1^2 - 10/9*c_1001_1 + 2/3, c_0011_8 - 7/9*c_1001_1^2 + 13/9*c_1001_1 - 4/9, c_0101_0 + c_1001_1 - 1, c_0101_1 + 7/9*c_1001_1^3 - 26/9*c_1001_1^2 + 32/9*c_1001_1 - 1/9, c_0101_3 + 7/9*c_1001_1^3 - 19/9*c_1001_1^2 + 10/9*c_1001_1 + 1/3, c_0101_8 + 7/9*c_1001_1^3 - 26/9*c_1001_1^2 + 32/9*c_1001_1 - 1/9, c_1001_1^4 - 26/7*c_1001_1^3 + 27/7*c_1001_1^2 - 2/7*c_1001_1 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB