Magma V2.19-8 Wed Aug 21 2013 01:11:11 on localhost [Seed = 998056686] Type ? for help. Type -D to quit. Loading file "L14n56439__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56439 geometric_solution 12.49006602 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 1 2 0 -1 1 0 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 3 -2 -1 0 0 0 0 -1 -1 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673295711437 0.932384639021 0 5 6 3 0132 0132 0132 3201 0 2 2 1 0 -1 0 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 -1 0 1 0 0 0 0 -2 0 0 2 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334711660124 0.955236956864 7 0 9 8 0132 0132 0132 0132 2 2 2 1 0 1 0 -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 -3 0 3 -1 0 1 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123939990791 0.629904531208 8 1 10 0 1302 2310 0132 0132 2 2 2 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 -2 0 2 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 0.103417359662 0.957827452323 5 7 0 9 0132 0132 0132 1302 2 2 2 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670763270024 0.603879226784 4 1 11 12 0132 0132 0132 0132 0 2 1 2 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 1 -1 0 0 0 1 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859415054247 0.885458097806 12 10 11 1 0132 2031 0321 0132 0 2 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 0 0 0 0 0 0 0 0 3 0 -3 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 0.573089004178 0.815866924292 2 4 11 9 0132 0132 2103 0321 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 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 0.441833940763 1.117318170989 12 3 2 11 3201 2031 0132 3201 2 2 0 2 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 -3 3 0 0 0 0 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441833940763 1.117318170989 10 7 4 2 2031 0321 2031 0132 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.888574318220 1.031998663010 6 12 9 3 1302 2103 1302 0132 2 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.111425681780 1.031998663010 7 8 6 5 2103 2310 0321 0132 0 2 2 2 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 -1 0 1 1 0 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370991030617 0.509036440815 6 10 5 8 0132 2103 0132 2310 0 2 2 1 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 0 0 -3 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782758622116 0.686406109092 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0110_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0110_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_0110_8']), 'c_1010_11' : negation(d['c_0110_8']), 'c_1010_10' : d['c_0110_8'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : 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_12' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0110_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_3'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(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'], 'c_1100_12' : d['c_0011_8'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_8']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_9, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 17/98*c_1001_2^7 - 43/49*c_1001_2^6 - 131/49*c_1001_2^5 - 249/49*c_1001_2^4 - 342/49*c_1001_2^3 - 617/98*c_1001_2^2 - 207/49*c_1001_2 - 117/98, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 2/7*c_1001_2^7 - 9/14*c_1001_2^6 - 10/7*c_1001_2^5 - 19/14*c_1001_2^4 - 3/2*c_1001_2^3 - 10/7*c_1001_2^2 - 6/7*c_1001_2 - 1/2, c_0011_12 - 2/7*c_1001_2^7 - 1/7*c_1001_2^6 - 3/7*c_1001_2^5 + 8/7*c_1001_2^4 + c_1001_2^3 + 18/7*c_1001_2^2 + 15/7*c_1001_2 + 3, c_0011_3 + 1/7*c_1001_2^7 + 1/14*c_1001_2^6 + 3/14*c_1001_2^5 - 4/7*c_1001_2^4 - 1/2*c_1001_2^3 - 25/14*c_1001_2^2 - 15/14*c_1001_2 - 1, c_0011_8 - 1/7*c_1001_2^7 - 4/7*c_1001_2^6 - 17/14*c_1001_2^5 - 27/14*c_1001_2^4 - 2*c_1001_2^3 - 31/14*c_1001_2^2 - 27/14*c_1001_2 - 1/2, c_0101_0 - 1, c_0101_1 + 4/7*c_1001_2^7 + 9/7*c_1001_2^6 + 20/7*c_1001_2^5 + 19/7*c_1001_2^4 + 4*c_1001_2^3 + 20/7*c_1001_2^2 + 12/7*c_1001_2 - 1, c_0101_11 + 1/2*c_1001_2^7 + 3/2*c_1001_2^6 + 7/2*c_1001_2^5 + 5*c_1001_2^4 + 13/2*c_1001_2^3 + 7*c_1001_2^2 + 11/2*c_1001_2 + 5/2, c_0101_5 - 1/2*c_1001_2^6 - c_1001_2^5 - 5/2*c_1001_2^4 - 5/2*c_1001_2^3 - 4*c_1001_2^2 - 3*c_1001_2 - 5/2, c_0101_9 + 4/7*c_1001_2^7 + 9/7*c_1001_2^6 + 20/7*c_1001_2^5 + 19/7*c_1001_2^4 + 4*c_1001_2^3 + 20/7*c_1001_2^2 + 19/7*c_1001_2 - 1, c_0110_8 - 1/7*c_1001_2^7 - 4/7*c_1001_2^6 - 17/14*c_1001_2^5 - 27/14*c_1001_2^4 - 2*c_1001_2^3 - 31/14*c_1001_2^2 - 13/14*c_1001_2 - 1/2, c_1001_2^8 + 3*c_1001_2^7 + 8*c_1001_2^6 + 12*c_1001_2^5 + 18*c_1001_2^4 + 19*c_1001_2^3 + 19*c_1001_2^2 + 11*c_1001_2 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB