Magma V2.19-8 Tue Aug 20 2013 23:58:11 on localhost [Seed = 3187397901] Type ? for help. Type -D to quit. Loading file "L14n38931__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38931 geometric_solution 10.38894327 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 0 0 0 -1 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 1 0 -1 -1 0 0 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735710939404 0.698858435616 0 5 7 6 0132 0132 0132 0132 1 1 0 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 0 0 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 0 0 0 0.614780313998 1.261082640474 8 0 5 9 0132 0132 0132 0132 1 1 0 0 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 -1 0 1 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735710939404 0.698858435616 10 11 7 0 0132 0132 0321 0132 1 1 0 1 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 0 0.678718351289 0.714508819483 9 5 0 8 0132 1023 0132 1023 1 1 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 1 -1 1 0 -1 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735710939404 0.698858435616 4 1 7 2 1023 0132 3012 0132 1 1 0 0 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 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 0.605841920938 0.334889979115 9 7 1 11 3012 3012 0132 0213 1 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 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 0.523477631753 1.164179112595 6 5 3 1 1230 1230 0321 0132 1 1 0 1 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 -1.146302326476 1.375862954472 2 10 11 4 0132 2103 2103 1023 1 1 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 -1 0 0 1 1 -1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605841920938 0.334889979115 4 10 2 6 0132 1230 0132 1230 1 1 0 0 0 0 -1 1 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 -1 1 -1 0 1 0 -2 2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735710939404 0.698858435616 3 8 9 11 0132 2103 3012 3012 0 1 1 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 1 -2 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 0.221553143226 0.725292172280 8 3 10 6 2103 0132 1230 0213 1 1 1 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 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.146302326476 1.375862954472 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : negation(d['c_0101_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_0101_0'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_11']), 'c_1100_8' : negation(d['c_0110_11']), 'c_1100_5' : negation(d['c_0110_11']), 'c_1100_4' : d['c_0110_11'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0110_11'], 'c_1100_3' : d['c_0110_11'], 'c_1100_2' : negation(d['c_0110_11']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(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_0']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0110_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_6, c_0011_7, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0110_11, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 20323454392/435925*c_1001_3^5 + 22200525768/435925*c_1001_3^4 - 68113963181/871850*c_1001_3^3 - 1853188481/871850*c_1001_3^2 - 68427159431/13949600*c_1001_3 - 3949177391/6974800, c_0011_0 - 1, c_0011_10 + 197248/17437*c_1001_3^5 - 117120/17437*c_1001_3^4 + 228792/17437*c_1001_3^3 + 146096/17437*c_1001_3^2 + 98817/34874*c_1001_3 + 5282/17437, c_0011_6 - 14720/2491*c_1001_3^5 + 27776/2491*c_1001_3^4 - 34920/2491*c_1001_3^3 + 17056/2491*c_1001_3^2 + 805/4982*c_1001_3 + 2134/2491, c_0011_7 - 197248/17437*c_1001_3^5 + 117120/17437*c_1001_3^4 - 228792/17437*c_1001_3^3 - 146096/17437*c_1001_3^2 - 98817/34874*c_1001_3 - 5282/17437, c_0101_0 - 1, c_0101_11 - 214784/17437*c_1001_3^5 + 236160/17437*c_1001_3^4 - 381296/17437*c_1001_3^3 + 9560/17437*c_1001_3^2 - 58893/17437*c_1001_3 + 5643/17437, c_0101_2 + 8320/329*c_1001_3^5 - 5760/329*c_1001_3^4 + 10648/329*c_1001_3^3 + 5416/329*c_1001_3^2 + 2929/658*c_1001_3 + 400/329, c_0101_3 + c_1001_3, c_0101_5 + 214784/17437*c_1001_3^5 - 236160/17437*c_1001_3^4 + 381296/17437*c_1001_3^3 - 9560/17437*c_1001_3^2 + 58893/17437*c_1001_3 - 5643/17437, c_0110_11 - 92928/17437*c_1001_3^5 + 142080/17437*c_1001_3^4 - 213520/17437*c_1001_3^3 + 80036/17437*c_1001_3^2 - 27351/17437*c_1001_3 + 13602/17437, c_1001_0 - 14720/2491*c_1001_3^5 + 27776/2491*c_1001_3^4 - 34920/2491*c_1001_3^3 + 17056/2491*c_1001_3^2 + 805/4982*c_1001_3 + 2134/2491, c_1001_3^6 - c_1001_3^5 + 27/16*c_1001_3^4 + 1/16*c_1001_3^3 + 81/256*c_1001_3^2 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB