Magma V2.19-8 Wed Aug 21 2013 01:01:35 on localhost [Seed = 1410486164] Type ? for help. Type -D to quit. Loading file "L14n12416__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12416 geometric_solution 11.98023379 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560340612257 0.949634128715 0 5 4 6 0132 0132 3012 0132 0 1 1 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 -1 1 0 0 0 0 0 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936045514750 0.416911169370 7 0 9 8 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 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 1 0 1 0 -2 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 1.000000000000 1.000000000000 10 10 7 0 0132 1302 1023 0132 1 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 0 0 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 0.218913792759 0.539112685237 11 1 0 11 0132 1230 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757182483518 1.745026053477 6 1 12 12 1302 0132 0132 3201 0 1 0 1 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 1 -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 0.790743462956 0.482259055051 10 5 1 8 2103 2031 0132 2031 0 1 1 1 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560340612257 0.949634128715 2 8 3 11 0132 1023 1023 0132 1 1 0 1 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 -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 -0.000000000000 1.000000000000 7 6 2 9 1023 1302 0132 0321 1 1 0 1 0 0 0 0 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 -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 0.500000000000 0.500000000000 12 8 10 2 0132 0321 2310 0132 1 1 0 1 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 0 1 -1 0 0 -2 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 1.000000000000 1.000000000000 3 9 6 3 0132 3201 2103 2031 1 1 1 1 0 -1 1 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 1 0 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867162345445 0.598523205576 4 12 7 4 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196841871261 0.795391924762 9 5 11 5 0132 2310 3012 0132 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 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 0.628591241759 0.622513026738 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0110_6'], 'c_1010_12' : negation(d['c_0110_5']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : 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' : negation(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' : negation(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' : negation(d['c_0011_12']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1100_0']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), '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_12']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_6']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_5, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 15200/41*c_1100_0^3 - 48640/123*c_1100_0^2 + 24320/41*c_1100_0 + 22784/615, c_0011_0 - 1, c_0011_10 - 50/41*c_1100_0^3 + 175/82*c_1100_0^2 - 201/82*c_1100_0 + 71/82, c_0011_11 - 375/164*c_1100_0^3 + 100/41*c_1100_0^2 - 150/41*c_1100_0 + 23/41, c_0011_12 - 425/164*c_1100_0^3 + 385/164*c_1100_0^2 - 393/164*c_1100_0 - 49/82, c_0011_6 + 225/41*c_1100_0^3 - 240/41*c_1100_0^2 + 319/41*c_1100_0 - 6/41, c_0101_0 - 1, c_0101_1 - 175/41*c_1100_0^3 + 815/164*c_1100_0^2 - 997/164*c_1100_0 + 169/164, c_0101_11 - 225/164*c_1100_0^3 + 445/164*c_1100_0^2 - 401/164*c_1100_0 + 85/82, c_0101_3 - 25/82*c_1100_0^3 + 95/82*c_1100_0^2 - 81/82*c_1100_0 + 14/41, c_0110_5 + 275/164*c_1100_0^3 - 215/82*c_1100_0^2 + 151/41*c_1100_0 - 103/164, c_0110_6 + 75/41*c_1100_0^3 - 80/41*c_1100_0^2 + 120/41*c_1100_0 - 43/41, c_1001_2 + 375/82*c_1100_0^3 - 200/41*c_1100_0^2 + 300/41*c_1100_0 - 51/82, c_1100_0^4 - 6/5*c_1100_0^3 + 39/25*c_1100_0^2 - 6/25*c_1100_0 + 1/25 ], 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0110_5, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 10311*c_1100_0^3 - 14897*c_1100_0^2 - 133043/15*c_1100_0 - 3533/3, c_0011_0 - 1, c_0011_10 + 15/8*c_1100_0^3 + 5/8*c_1100_0^2 - 5/24*c_1100_0 - 7/24, c_0011_11 - 75/8*c_1100_0^3 - 65/4*c_1100_0^2 - 245/24*c_1100_0 - 7/6, c_0011_12 - 45/8*c_1100_0^3 - 15/2*c_1100_0^2 - 19/8*c_1100_0, c_0011_6 + c_1100_0, c_0101_0 - 1, c_0101_1 - 165/16*c_1100_0^3 - 205/16*c_1100_0^2 - 269/48*c_1100_0 - 37/48, c_0101_11 + 15/8*c_1100_0^3 - 5/4*c_1100_0^2 - 41/24*c_1100_0 - 5/12, c_0101_3 - 15/8*c_1100_0^3 - 5/8*c_1100_0^2 + 5/24*c_1100_0 + 7/24, c_0110_5 - 105/16*c_1100_0^3 - 65/16*c_1100_0^2 - 73/48*c_1100_0 + 31/48, c_0110_6 - c_1100_0 - 1, c_1001_2 + 75/8*c_1100_0^3 + 85/8*c_1100_0^2 + 155/24*c_1100_0 + 13/24, c_1100_0^4 + 4/3*c_1100_0^3 + 34/45*c_1100_0^2 + 4/45*c_1100_0 + 1/45 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB