Magma V2.19-8 Tue Aug 20 2013 23:52:30 on localhost [Seed = 3785853638] Type ? for help. Type -D to quit. Loading file "L13n2790__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2790 geometric_solution 10.86122877 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 1 1 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 -1 5 -4 1 0 -1 0 -1 0 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640565764452 0.847721729497 0 4 0 5 0132 0132 3012 0132 1 1 1 1 0 0 -1 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 0 5 -5 -1 0 1 0 -5 5 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432603744151 0.750889544854 5 6 7 0 0132 0132 0132 0132 1 1 1 1 0 0 -1 1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 -1 1 -4 4 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423416574166 0.185655200833 7 7 0 5 0321 3201 0132 2103 1 1 1 1 0 0 -1 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 0 0 0 0 4 -4 0 0 0 0 0 -5 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887674284242 1.132536683885 8 1 9 9 0132 0132 0132 3120 1 0 1 1 0 0 0 0 1 0 -1 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 -1 0 1 0 4 1 0 -5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310106352472 0.522014279071 2 10 1 3 0132 0132 0132 2103 1 1 1 1 0 0 -1 1 0 0 0 0 1 0 0 -1 -1 1 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 -4 0 0 4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932001186155 1.543845656613 9 2 11 11 2103 0132 0132 3120 1 0 1 1 0 0 0 0 1 0 0 -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 -1 0 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875713658754 1.367424316050 3 11 3 2 0321 3120 2310 0132 1 1 1 1 0 0 -1 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 0 0 0 0 5 -5 0 0 -1 1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571297135450 0.546959317408 4 9 10 10 0132 0132 0132 3120 1 0 1 1 0 0 0 0 -1 0 -1 2 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 0 -1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848733048005 0.893944602271 4 8 6 4 3120 0132 2103 0132 1 0 1 1 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 0 0 0 0 0 1 -1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921760523056 0.697458451231 8 5 11 8 3120 0132 3120 0132 1 0 1 1 0 0 0 0 -2 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 0 0 0 1 0 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184018882466 1.087499182913 6 7 10 6 3120 3120 3120 0132 1 0 1 1 0 0 0 0 1 0 -1 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 -1 0 1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065924034136 0.725310009012 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_6'], 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_4'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_7'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_1001_10']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_10']), '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_0'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_10'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_4'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_4'], 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_6, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 32/17*c_1001_4^10 - 10*c_1001_4^9 - 458/17*c_1001_4^8 - 39*c_1001_4^7 - 279/17*c_1001_4^6 + 821/17*c_1001_4^5 + 1893/17*c_1001_4^4 + 1879/17*c_1001_4^3 + 905/17*c_1001_4^2 + 114/17*c_1001_4 - 54/17, c_0011_0 - 1, c_0011_10 + c_1001_4^2 + 2*c_1001_4 + 1, c_0011_11 + 1/2*c_1001_4^10 + 7/2*c_1001_4^9 + 12*c_1001_4^8 + 53/2*c_1001_4^7 + 79/2*c_1001_4^6 + 81/2*c_1001_4^5 + 28*c_1001_4^4 + 11*c_1001_4^3 + 5/2*c_1001_4^2 - 1/2*c_1001_4 - 1, c_0011_3 + 1/2*c_1001_4^10 + 7/2*c_1001_4^9 + 13*c_1001_4^8 + 61/2*c_1001_4^7 + 97/2*c_1001_4^6 + 105/2*c_1001_4^5 + 37*c_1001_4^4 + 15*c_1001_4^3 + 5/2*c_1001_4^2 - 1/2*c_1001_4 - 1, c_0011_7 + 1/2*c_1001_4^10 + 7/2*c_1001_4^9 + 12*c_1001_4^8 + 53/2*c_1001_4^7 + 79/2*c_1001_4^6 + 81/2*c_1001_4^5 + 28*c_1001_4^4 + 12*c_1001_4^3 + 9/2*c_1001_4^2 + 3/2*c_1001_4, c_0101_0 - 1/2*c_1001_4^10 - 5/2*c_1001_4^9 - 7*c_1001_4^8 - 25/2*c_1001_4^7 - 29/2*c_1001_4^6 - 21/2*c_1001_4^5 - 3*c_1001_4^4 + c_1001_4^3 - 1/2*c_1001_4^2 - 3/2*c_1001_4 - 1, c_0101_1 + 1/2*c_1001_4^10 + 7/2*c_1001_4^9 + 12*c_1001_4^8 + 53/2*c_1001_4^7 + 79/2*c_1001_4^6 + 81/2*c_1001_4^5 + 27*c_1001_4^4 + 9*c_1001_4^3 - 1/2*c_1001_4^2 - 5/2*c_1001_4 - 1, c_0101_10 - c_1001_4^2 - c_1001_4 - 1, c_0101_4 - 1, c_0101_6 - c_1001_4 - 1, c_1001_10 + c_1001_4^4 + 2*c_1001_4^3 + 3*c_1001_4^2 + 2*c_1001_4 + 1, c_1001_4^11 + 7*c_1001_4^10 + 26*c_1001_4^9 + 63*c_1001_4^8 + 107*c_1001_4^7 + 131*c_1001_4^6 + 114*c_1001_4^5 + 68*c_1001_4^4 + 25*c_1001_4^3 + 3*c_1001_4^2 - 2*c_1001_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB