Magma V2.19-8 Tue Aug 20 2013 23:40:16 on localhost [Seed = 121725828] Type ? for help. Type -D to quit. Loading file "K12n260__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n260 geometric_solution 10.75463423 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 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 0.473635415035 0.547796687724 0 5 6 5 0132 0132 0132 1230 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 -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 0.767698685488 1.096846277528 3 0 7 4 0321 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869297732221 0.730433510182 2 8 9 0 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635648425434 1.204092553424 10 8 0 2 0132 3201 0132 2103 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 0 1 -1 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 0.416135776946 0.656444338305 1 1 11 7 3012 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 1 0 -1 -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 0.184800895004 0.872565763111 10 11 8 1 3120 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956129658482 0.417113154970 10 11 5 2 1302 3012 0132 0132 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 1 -1 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 0.600414678721 0.417971184001 9 3 4 6 2310 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 -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 0.665026332612 0.637536975598 10 11 8 3 2031 3201 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.442873754415 0.672256219044 4 7 9 6 0132 2031 1302 3120 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 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 0.084627436010 0.423535824644 7 6 9 5 1230 3120 2310 0132 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 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 0.089034985061 0.751371670096 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_9']), '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_2_11' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_1001_11']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), '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_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_3'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0011_10'])})} 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_11, c_0011_3, c_0011_6, c_0011_9, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 49/68*c_1001_11^2 + 139/136*c_1001_11 - 161/136, c_0011_0 - 1, c_0011_10 + 2*c_1001_11 - 2, c_0011_11 + c_1001_11^2 - 1/2*c_1001_11, c_0011_3 + c_1001_11^2 - 3/2*c_1001_11 + 2, c_0011_6 + 1, c_0011_9 - c_1001_11^2 + 5/2*c_1001_11 - 2, c_0101_1 - c_1001_11^2 + 5/2*c_1001_11 - 2, c_0101_11 - c_1001_11^2 + 3/2*c_1001_11 - 1, c_0101_2 + c_1001_11^2 - 1, c_0101_6 + c_1001_11^2 - 2*c_1001_11 + 2, c_1001_0 - c_1001_11^2 + 1/2*c_1001_11 - 1, c_1001_11^3 - 5/2*c_1001_11^2 + 3*c_1001_11 - 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_9, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2/145*c_1001_0*c_1001_11 + 34/435*c_1001_0 - 41/1740*c_1001_11 + 13/580, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_0*c_1001_11 - 1/2*c_1001_0 - 1/2*c_1001_11 + 3/2, c_0011_11 + 1/2*c_1001_0*c_1001_11 - 1/2*c_1001_0 + 1, c_0011_3 - 1/2*c_1001_0*c_1001_11 + 3/2*c_1001_0 + 1/2*c_1001_11 + 1/2, c_0011_6 - 1, c_0011_9 + 1/2*c_1001_11 - 1/2, c_0101_1 + 1/2*c_1001_11 - 1/2, c_0101_11 - c_1001_0 - 1/2*c_1001_11 - 1/2, c_0101_2 - c_1001_0*c_1001_11 + 2*c_1001_0 + 1/2*c_1001_11 + 7/2, c_0101_6 - c_1001_0*c_1001_11 + c_1001_0 + 3, c_1001_0^2 + 1/2*c_1001_0*c_1001_11 - 1/2*c_1001_0 + 1, c_1001_11^2 - 2*c_1001_11 + 5 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_9, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 50/7*c_1001_11^3 + 29/7*c_1001_11^2 + 76/7*c_1001_11 + 71/7, c_0011_0 - 1, c_0011_10 - c_1001_11^3 - c_1001_11^2 - 2*c_1001_11 - 1, c_0011_11 - c_1001_11^3 - c_1001_11^2 - c_1001_11 - 1, c_0011_3 - c_1001_11^2, c_0011_6 - c_1001_11 - 1, c_0011_9 + c_1001_11^2 + c_1001_11, c_0101_1 + c_1001_11^3 + 2*c_1001_11 + 1, c_0101_11 + c_1001_11^2 + 1, c_0101_2 + c_1001_11^2 - 1, c_0101_6 - c_1001_11^3 - 2*c_1001_11 - 2, c_1001_0 - c_1001_11^3 - c_1001_11^2 - 2*c_1001_11 - 1, c_1001_11^4 + c_1001_11^3 + 2*c_1001_11^2 + 2*c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.920 Total time: 2.129 seconds, Total memory usage: 32.09MB