Magma V2.19-8 Wed Aug 21 2013 00:01:26 on localhost [Seed = 813062583] Type ? for help. Type -D to quit. Loading file "L14n53644__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n53644 geometric_solution 11.32544920 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 0321 0132 2 0 0 0 0 0 0 0 1 0 -2 1 -1 1 0 0 1 -1 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777302052600 0.833246792081 0 4 5 5 0132 0132 0213 0132 2 0 0 0 0 0 0 0 -1 0 0 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 0 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401384033652 0.641700137006 6 0 0 5 0132 0132 0321 0213 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 -1 2 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777302052600 0.833246792081 7 8 0 9 0132 0132 0132 0132 2 0 1 0 0 -1 0 1 0 0 -1 1 -1 -1 0 2 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 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.944843675837 0.870709158607 10 1 8 9 0132 0132 0321 0321 2 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 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 0 0 0 0 0 0 0 0.072461922620 1.143898920622 6 1 1 2 3201 0213 0132 0213 2 0 0 0 0 0 0 0 0 0 -1 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 1 0 -1 0 0 -1 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 0.777302052600 0.833246792081 2 11 11 5 0132 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962265114627 0.637699565412 3 10 8 11 0132 3201 2103 2103 0 0 0 1 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 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 0.855334334335 1.054852674708 7 3 4 9 2103 0132 0321 0213 2 0 0 1 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563805692101 0.465249336563 10 4 3 8 3201 0321 0132 0213 2 0 0 1 0 0 -1 1 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563805692101 0.465249336563 4 11 7 9 0132 1023 2310 2310 0 1 0 0 0 0 0 0 1 0 1 -2 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 -2 0 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536230961310 0.571949460311 10 6 6 7 1023 0132 1023 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736940763314 0.647257666111 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_0']), 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0110_11'], '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_0011_3'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : d['c_1001_2'], 'c_1100_8' : d['c_1001_1'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_5']), 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_2'], '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' : 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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(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_0110_11'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0011_5'], 'c_0101_7' : negation(d['c_0101_4']), '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_0011_5'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_4']), 'c_0101_8' : negation(d['c_0101_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_11']), 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_5'], 'c_0011_10' : negation(d['c_0011_0'])})} 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_3, c_0011_5, c_0101_0, c_0101_11, c_0101_4, c_0101_6, c_0110_11, c_1001_0, c_1001_1, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 219/1118*c_1001_8^6 - 2135/4472*c_1001_8^5 - 31/2236*c_1001_8^4 - 1291/2236*c_1001_8^3 + 5573/8944*c_1001_8^2 - 4191/8944*c_1001_8 + 61/1118, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 - 1, c_0101_0 + 3/2*c_1001_8^6 - 7/2*c_1001_8^5 - c_1001_8^4 - 13/4*c_1001_8^3 + 11/2*c_1001_8^2 - 17/4*c_1001_8 - 2, c_0101_11 - 9/2*c_1001_8^6 + 27/2*c_1001_8^5 - 4*c_1001_8^4 + 31/4*c_1001_8^3 - 23*c_1001_8^2 + 87/4*c_1001_8 - 5/2, c_0101_4 + c_1001_8^6 - 5/2*c_1001_8^5 - 1/4*c_1001_8^4 - 2*c_1001_8^3 + 13/4*c_1001_8^2 - 23/8*c_1001_8 - 5/8, c_0101_6 - 9/2*c_1001_8^6 + 12*c_1001_8^5 + 31/4*c_1001_8^3 - 79/4*c_1001_8^2 + 29/2*c_1001_8, c_0110_11 - 5*c_1001_8^6 + 15*c_1001_8^5 - 5*c_1001_8^4 + 19/2*c_1001_8^3 - 24*c_1001_8^2 + 25*c_1001_8 - 11/2, c_1001_0 - 1, c_1001_1 - 1/4*c_1001_8^4 + 1/2*c_1001_8^3 + 7/8*c_1001_8 - 5/8, c_1001_2 + 1/4*c_1001_8^4 - 1/2*c_1001_8^3 - 7/8*c_1001_8 + 5/8, c_1001_8^7 - 3*c_1001_8^6 + c_1001_8^5 - 2*c_1001_8^4 + 5*c_1001_8^3 - 5*c_1001_8^2 + 5/4*c_1001_8 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB