Magma V2.19-8 Tue Aug 20 2013 23:40:41 on localhost [Seed = 1393899456] Type ? for help. Type -D to quit. Loading file "K12n387__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n387 geometric_solution 10.65025794 oriented_manifold CS_known -0.0000000000000004 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 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 1 -1 -1 0 0 1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500301272546 1.255369603193 0 5 7 6 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705773655581 0.258844083827 8 0 6 3 0132 0132 3012 3012 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 1 -1 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273709787425 0.687628221471 9 5 2 0 0132 0213 1230 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 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 0.510631748033 0.631525724541 5 8 0 8 0132 0132 0132 1302 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 -1 1 0 0 0 -1 1 0 -1 0 1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.054308797435 0.819317514298 4 1 3 10 0132 0132 0213 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 0 0 0 0 0 0 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462671515121 0.956984698539 9 2 1 11 2103 1230 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 -1 0 1 0 0 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705773655581 0.258844083827 11 10 11 1 3120 0132 0213 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 12 0 0 -12 -1 -11 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841323197103 0.545662549331 2 4 4 9 0132 0132 2031 3201 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 -1 0 0 0 0 0 0 -11 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919450712207 1.215188797591 3 8 6 10 0132 2310 2103 2103 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 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446085447508 0.794480396107 11 7 5 9 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 0 -11 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431116193180 0.365370670536 10 7 6 7 0132 0213 0132 3120 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 11 1 0 -12 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841323197103 0.545662549331 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_2'], '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' : d['c_0101_1'], '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_1100_9' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0101_1'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), '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_0101_2'], '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'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 7/128*c_1001_3^3 - 25/128*c_1001_3^2 + 67/128*c_1001_3 - 57/128, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_3^3 + c_1001_3^2 - 5/2*c_1001_3 - 1, c_0011_3 - 1/2*c_1001_3^3 + c_1001_3^2 - 5/2*c_1001_3, c_0011_6 + 1, c_0101_0 + c_1001_3, c_0101_1 - 1/2*c_1001_3^3 + c_1001_3^2 - 7/2*c_1001_3, c_0101_11 + 1/2*c_1001_3^3 - 3/2*c_1001_3^2 + 7/2*c_1001_3 - 1/2, c_0101_2 + 1/2*c_1001_3^3 - c_1001_3^2 + 7/2*c_1001_3, c_0101_3 - 1/2*c_1001_3^3 + c_1001_3^2 - 5/2*c_1001_3 - 1, c_0101_8 + 1/2*c_1001_3^2 + 3/2, c_1001_1 - 1/2*c_1001_3^3 + 3/2*c_1001_3^2 - 7/2*c_1001_3 + 1/2, c_1001_3^4 - 2*c_1001_3^3 + 6*c_1001_3^2 + 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 5/12*c_1001_3^3 + 5/6*c_1001_3^2 + 5/12*c_1001_3 - 41/12, c_0011_0 - 1, c_0011_10 + 1/3*c_1001_3^3 + 5/3*c_1001_3^2 + 10/3*c_1001_3 + 5/3, c_0011_3 - 2/3*c_1001_3^3 - 7/3*c_1001_3^2 - 11/3*c_1001_3 - 4/3, c_0011_6 + 1, c_0101_0 + c_1001_3, c_0101_1 + 2/3*c_1001_3^3 + 7/3*c_1001_3^2 + 14/3*c_1001_3 + 4/3, c_0101_11 - c_1001_3^3 - 4*c_1001_3^2 - 7*c_1001_3 - 2, c_0101_2 - 2/3*c_1001_3^3 - 7/3*c_1001_3^2 - 14/3*c_1001_3 - 4/3, c_0101_3 - 2/3*c_1001_3^3 - 7/3*c_1001_3^2 - 11/3*c_1001_3 - 1/3, c_0101_8 - 1/3*c_1001_3^3 - 5/3*c_1001_3^2 - 7/3*c_1001_3 - 5/3, c_1001_1 + c_1001_3^3 + 4*c_1001_3^2 + 7*c_1001_3 + 2, c_1001_3^4 + 4*c_1001_3^3 + 8*c_1001_3^2 + 4*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.510 Total time: 1.720 seconds, Total memory usage: 64.12MB