Magma V2.19-8 Tue Aug 20 2013 23:57:25 on localhost [Seed = 1578645127] Type ? for help. Type -D to quit. Loading file "L14n32709__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32709 geometric_solution 10.85230083 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 1 -1 0 0 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 0.051557436084 0.790998900306 0 5 7 6 0132 0132 0132 0132 1 0 1 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 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393581887257 0.714298302897 8 0 10 9 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395099731178 0.706780180429 11 6 10 0 0132 0132 3120 0132 1 0 1 1 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 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 -0.274369922399 1.423197558375 5 8 0 6 0132 0132 0132 2103 1 0 1 1 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 -1 1 0 -1 0 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301050933117 0.816669082598 4 1 7 9 0132 0132 3120 3120 1 0 1 1 0 0 0 0 0 0 0 0 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 1 0 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 1.316609352838 1.193725711807 10 3 1 4 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.055399496156 0.639449230188 8 9 5 1 2103 3120 3120 0132 1 0 1 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 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.274369922399 1.423197558375 2 4 7 11 0132 0132 2103 0132 1 0 1 1 0 0 0 0 1 0 0 -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 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 0.948442563916 0.790998900306 5 7 2 11 3120 3120 0132 2103 1 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 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 0.134476409068 1.552195276551 6 11 3 2 0132 0132 3120 0132 1 0 1 1 0 0 0 0 0 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 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.316609352838 1.193725711807 3 10 8 9 0132 0132 0132 2103 1 0 1 1 0 0 0 0 -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 -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 0.309291238730 0.813584036499 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_1']), 's_3_1' : negation(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'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5191/112*c_1001_11^7 + 21921/112*c_1001_11^6 - 11641/16*c_1001_11^5 + 13061/14*c_1001_11^4 - 13021/14*c_1001_11^3 + 62763/112*c_1001_11^2 - 17025/112*c_1001_11 + 3435/112, c_0011_0 - 1, c_0011_10 + 3/8*c_1001_11^7 - 13/8*c_1001_11^6 + 47/8*c_1001_11^5 - 15/2*c_1001_11^4 + 11/2*c_1001_11^3 - 19/8*c_1001_11^2 - 15/8*c_1001_11 + 9/8, c_0011_7 - 9/8*c_1001_11^7 + 23/8*c_1001_11^6 - 93/8*c_1001_11^5 - 1/2*c_1001_11^4 - 17/2*c_1001_11^3 - 63/8*c_1001_11^2 - 11/8*c_1001_11 - 11/8, c_0011_9 + 1/8*c_1001_11^7 - 7/8*c_1001_11^6 + 29/8*c_1001_11^5 - 17/2*c_1001_11^4 + 23/2*c_1001_11^3 - 65/8*c_1001_11^2 + 43/8*c_1001_11 + 3/8, c_0101_0 - 1, c_0101_1 + 23/8*c_1001_11^7 - 73/8*c_1001_11^6 + 283/8*c_1001_11^5 - 41/2*c_1001_11^4 + 69/2*c_1001_11^3 + 1/8*c_1001_11^2 + 37/8*c_1001_11 + 5/8, c_0101_10 + 1/4*c_1001_11^7 - 11/4*c_1001_11^6 + 41/4*c_1001_11^5 - 29*c_1001_11^4 + 29*c_1001_11^3 - 125/4*c_1001_11^2 + 47/4*c_1001_11 - 13/4, c_0101_3 - 9/8*c_1001_11^7 + 23/8*c_1001_11^6 - 93/8*c_1001_11^5 - 1/2*c_1001_11^4 - 17/2*c_1001_11^3 - 63/8*c_1001_11^2 - 11/8*c_1001_11 - 3/8, c_0101_5 - 3/8*c_1001_11^7 + 29/8*c_1001_11^6 - 111/8*c_1001_11^5 + 75/2*c_1001_11^4 - 81/2*c_1001_11^3 + 315/8*c_1001_11^2 - 129/8*c_1001_11 + 23/8, c_0101_7 + 3/4*c_1001_11^7 - 5/4*c_1001_11^6 + 23/4*c_1001_11^5 + 8*c_1001_11^4 + 3*c_1001_11^3 + 41/4*c_1001_11^2 + 17/4*c_1001_11 + 1/4, c_1001_0 - 5/8*c_1001_11^7 + 27/8*c_1001_11^6 - 97/8*c_1001_11^5 + 43/2*c_1001_11^4 - 35/2*c_1001_11^3 + 125/8*c_1001_11^2 - 15/8*c_1001_11 + 9/8, c_1001_11^8 - 4*c_1001_11^7 + 16*c_1001_11^6 - 21*c_1001_11^5 + 32*c_1001_11^4 - 21*c_1001_11^3 + 16*c_1001_11^2 - 4*c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB