Magma V2.19-8 Tue Aug 20 2013 17:57:19 on localhost [Seed = 3052667318] Type ? for help. Type -D to quit. Loading file "9^2_28__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_28 geometric_solution 10.74025767 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 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 0.217576601372 0.514348983149 0 5 7 6 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217937903743 1.252518573644 7 0 4 8 0132 0132 2103 0132 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 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 1.183883771484 0.762950792513 9 5 6 0 0132 1230 1230 0132 1 1 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 0 1 0 -4 4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296826250881 0.430321319608 2 8 0 10 2103 1302 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621124437420 1.637133447233 11 1 3 7 0132 0132 3012 0132 0 1 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 -1 1 0 0 0 0 0 -1 0 1 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282827640458 0.565950411716 10 9 1 3 3012 2103 0132 3012 0 1 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 0 0 0 0 0 1 0 -1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452307573196 0.424190970218 2 11 5 1 0132 0132 0132 0132 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 1 -1 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 0.217937903743 1.252518573644 11 11 2 4 2103 1302 0132 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000361302370 0.738169590495 3 6 10 10 0132 2103 3012 3120 1 1 0 0 0 0 -1 1 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 -1 1 0 1 0 -1 0 1 0 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621124437420 1.637133447233 9 9 4 6 3120 1230 0132 1230 1 1 0 1 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 1 4 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621124437420 1.637133447233 5 7 8 8 0132 0132 2103 2031 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 -1 1 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 1.000361302370 0.738169590495 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_0'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_0101_10']), 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : d['c_0110_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_1'], '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_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 27*c_1001_3^4 + 22*c_1001_3^3 - 24*c_1001_3^2 - 38*c_1001_3 - 2, c_0011_0 - 1, c_0011_10 - c_1001_3^3, c_0011_3 + c_1001_3^4 + c_1001_3^3 - 2*c_1001_3 - 1, c_0011_4 + c_1001_3^3, c_0011_8 - c_1001_3^4 - c_1001_3^3 + c_1001_3 + 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - c_1001_3^3 - c_1001_3, c_0101_11 - c_1001_3^2 - 1, c_0101_5 + c_1001_3^4 - c_1001_3^2 - 1, c_0110_6 - c_1001_3^4 - c_1001_3^3 + c_1001_3^2 + 1, c_1001_3^5 + c_1001_3^4 - c_1001_3^2 - c_1001_3 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 213595/101304*c_1001_3^5 - 25471/33768*c_1001_3^4 - 80839/8442*c_1001_3^3 + 973465/33768*c_1001_3^2 - 7229/14472*c_1001_3 + 619639/14472, c_0011_0 - 1, c_0011_10 + 4/67*c_1001_3^5 + 2/67*c_1001_3^4 + 33/67*c_1001_3^3 - 4/67*c_1001_3^2 + 62/67*c_1001_3 - 26/67, c_0011_3 + 27/134*c_1001_3^5 + 47/134*c_1001_3^4 + 103/67*c_1001_3^3 - 27/134*c_1001_3^2 + 251/134*c_1001_3 - 75/134, c_0011_4 + 4/67*c_1001_3^5 + 2/67*c_1001_3^4 + 33/67*c_1001_3^3 - 4/67*c_1001_3^2 + 62/67*c_1001_3 - 26/67, c_0011_8 + 27/134*c_1001_3^5 + 47/134*c_1001_3^4 + 103/67*c_1001_3^3 - 27/134*c_1001_3^2 + 117/134*c_1001_3 - 75/134, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 4/67*c_1001_3^5 - 2/67*c_1001_3^4 - 33/67*c_1001_3^3 + 4/67*c_1001_3^2 + 5/67*c_1001_3 + 26/67, c_0101_11 - 7/67*c_1001_3^5 - 37/67*c_1001_3^4 - 108/67*c_1001_3^3 - 194/67*c_1001_3^2 - 75/67*c_1001_3 - 122/67, c_0101_5 + 6/67*c_1001_3^5 + 3/67*c_1001_3^4 + 16/67*c_1001_3^3 - 73/67*c_1001_3^2 + 26/67*c_1001_3 - 39/67, c_0110_6 + 2/67*c_1001_3^5 + 1/67*c_1001_3^4 - 17/67*c_1001_3^3 - 69/67*c_1001_3^2 - 36/67*c_1001_3 - 13/67, c_1001_3^6 + 2*c_1001_3^5 + 9*c_1001_3^4 + 3*c_1001_3^3 + 14*c_1001_3^2 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB