Magma V2.19-8 Tue Aug 20 2013 23:46:09 on localhost [Seed = 2917910447] Type ? for help. Type -D to quit. Loading file "K14n14431__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14431 geometric_solution 10.63352556 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 0 0 0 0 0 -1 0 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 0 0 0 19 1 -20 19 0 0 -19 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388524885646 1.115061368626 0 0 5 4 0132 1230 0132 0132 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 -19 0 0 19 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378092407079 0.689474071810 6 0 7 6 0132 0132 0132 2031 0 0 0 0 0 1 -1 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 -19 19 0 -20 0 0 20 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.086431482778 1.242702714188 8 9 0 7 0132 0132 0132 3012 0 0 0 0 0 1 -1 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 -20 20 0 0 0 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614558947916 0.593692800433 6 8 1 10 2031 3120 0132 0132 0 0 0 0 0 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 -20 0 20 0 0 -19 19 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175669328355 1.899735756625 10 7 11 1 1230 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.365951410866 0.894001305118 2 2 4 8 0132 1302 1302 3012 0 0 0 0 0 1 0 -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 0 0 0 -20 0 20 20 0 0 -20 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055698268075 0.800823805034 9 5 3 2 0132 0132 1230 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 0 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690382920098 0.796696955450 3 4 6 10 0132 3120 1230 1230 0 0 0 0 0 0 -1 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 -1 20 -19 0 0 0 0 0 0 0 0 0 20 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024726908526 0.940874172390 7 3 11 11 0132 0132 2103 0321 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 20 0 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484910378526 0.506637072889 8 5 4 11 3012 3012 0132 0132 0 0 0 0 0 0 1 -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 0 -20 20 19 0 -19 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 -0.411107206750 0.586565379812 9 9 10 5 2103 0321 0132 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 20 -20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320471794114 0.471429999098 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_5']), 's_3_11' : 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_4']), '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_5']), 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_8'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_4']), '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' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_11'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], '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' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_11'], '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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_11, c_0101_5, c_0101_8, c_1001_1, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 4/35*c_1100_1^2 - 3/5*c_1100_1 + 29/35, c_0011_0 - 1, c_0011_10 - c_1100_1 + 1, c_0011_11 - c_1100_1^2 + c_1100_1 + 2, c_0011_3 - c_1100_1, c_0011_4 - c_1100_1^2 + 2*c_1100_1, c_0101_0 - c_1100_1^2 + c_1100_1 + 1, c_0101_11 + c_1100_1^2 - 3*c_1100_1 + 2, c_0101_5 + c_1100_1^2 - 2, c_0101_8 + c_1100_1 - 2, c_1001_1 + c_1100_1^2 - 2*c_1100_1, c_1001_2 - 1, c_1100_1^3 - 3*c_1100_1^2 + 2*c_1100_1 + 1 ], 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_4, c_0101_0, c_0101_11, c_0101_5, c_0101_8, c_1001_1, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 436/35*c_1100_1^2 - 207/5*c_1100_1 - 1341/35, c_0011_0 - 1, c_0011_10 - c_1100_1 - 1, c_0011_11 - c_1100_1^2 - c_1100_1, c_0011_3 - c_1100_1, c_0011_4 + c_1100_1^2 + 2*c_1100_1, c_0101_0 + c_1100_1^2 + c_1100_1 - 1, c_0101_11 - c_1100_1^2 - c_1100_1, c_0101_5 + c_1100_1^2 + 2*c_1100_1, c_0101_8 + 2*c_1100_1^2 + 3*c_1100_1, c_1001_1 + c_1100_1^2 - 2, c_1001_2 + 1, c_1100_1^3 + 3*c_1100_1^2 + 2*c_1100_1 - 1 ], 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_4, c_0101_0, c_0101_11, c_0101_5, c_0101_8, c_1001_1, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 364986529497/23531597551*c_1100_1^5 - 21831723126/23531597551*c_1100_1^4 - 563336404830/23531597551*c_1100_1^3 + 60350878818/23531597551*c_1100_1^2 + 355706675640/23531597551*c_1100_1 - 52181940528/23531597551, c_0011_0 - 1, c_0011_10 + 81/7*c_1100_1^5 - 18*c_1100_1^3 + 76/7*c_1100_1, c_0011_11 + 81/7*c_1100_1^5 - 9/7*c_1100_1^4 - 18*c_1100_1^3 + 83/7*c_1100_1 + 4/7, c_0011_3 + c_1100_1, c_0011_4 - 9/7*c_1100_1^5 + 3*c_1100_1^3 - 17/7*c_1100_1, c_0101_0 - 18/7*c_1100_1^5 + 3*c_1100_1^3 - 13/7*c_1100_1, c_0101_11 - 90/7*c_1100_1^5 - 9/7*c_1100_1^4 + 21*c_1100_1^3 + 3*c_1100_1^2 - 100/7*c_1100_1 - 10/7, c_0101_5 + 81/7*c_1100_1^5 - 9/7*c_1100_1^4 - 18*c_1100_1^3 + 76/7*c_1100_1 + 4/7, c_0101_8 + 90/7*c_1100_1^5 - 9/7*c_1100_1^4 - 21*c_1100_1^3 + 100/7*c_1100_1 + 4/7, c_1001_1 + 81/7*c_1100_1^5 + 9/7*c_1100_1^4 - 18*c_1100_1^3 + 76/7*c_1100_1 - 4/7, c_1001_2 + 81/7*c_1100_1^5 - 18*c_1100_1^3 + 69/7*c_1100_1, c_1100_1^6 - 5/3*c_1100_1^4 + 10/9*c_1100_1^2 - 1/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.260 Total time: 3.470 seconds, Total memory usage: 32.09MB