Magma V2.19-8 Wed Aug 21 2013 01:05:03 on localhost [Seed = 2328662765] Type ? for help. Type -D to quit. Loading file "L14n24993__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24993 geometric_solution 11.64785529 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 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 -3 2 1 0 0 -1 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511019187213 0.250854341262 0 2 6 5 0132 0213 0132 0132 0 1 1 1 0 -1 0 1 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 3 0 -3 0 0 0 0 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792013906789 0.847944609950 7 0 1 8 0132 0132 0213 0132 0 1 1 1 0 -1 1 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 3 -3 0 4 0 0 -4 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767859658841 0.600617015121 7 9 10 0 2310 0132 0132 0132 0 1 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 0 2 0 -2 -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 -0.205440966294 1.258263490999 11 9 0 5 0132 0321 0132 0213 0 1 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 0 -2 -1 3 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 0.386959768477 1.038668859214 8 10 1 4 0321 0213 0132 0213 0 1 1 1 0 0 -1 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 0 3 -3 0 0 0 0 1 0 0 -1 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739999595242 0.753754806738 11 8 10 1 3120 0321 0213 0132 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 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 0.481487672376 0.826120136880 2 11 3 12 0132 2103 3201 0132 1 1 1 1 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 0 0 0 0 -4 0 0 4 -1 0 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191981052894 1.118882156647 5 9 2 6 0321 0213 0132 0321 0 1 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 0 0 0 -4 0 4 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 0.182301326038 0.770080442988 12 3 8 4 3201 0132 0213 0321 0 1 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 0 -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 0 0 0.704187092856 0.862287951780 12 6 5 3 1023 0213 0213 0132 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 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 -0.069922629511 0.988679483060 4 7 12 6 0132 2103 3201 3120 1 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319677117069 1.553083852034 11 10 7 9 2310 1023 0132 2310 1 1 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 0 0 0 4 0 -4 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 -0.396427039202 0.477500464124 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_5'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_1001_3'], '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'], 'c_0101_12' : negation(d['c_0011_0']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_5'], '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' : negation(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' : 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_1'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1010_5'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1010_5'], 'c_1100_3' : d['c_1010_5'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1010_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_1'], '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' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], '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_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0101_0']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0011_0']), '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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_1001_0, c_1001_1, c_1001_10, c_1001_3, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 23398673/2623923*c_1010_5^9 + 102894413/2623923*c_1010_5^8 - 77068330/2623923*c_1010_5^7 - 1110037793/2623923*c_1010_5^6 - 869981080/874641*c_1010_5^5 - 423045737/291547*c_1010_5^4 - 4496377757/2623923*c_1010_5^3 - 4051857278/2623923*c_1010_5^2 - 2255266787/2623923*c_1010_5 - 187777249/874641, c_0011_0 - 1, c_0011_10 + 183386/874641*c_1010_5^9 + 685730/874641*c_1010_5^8 - 1148698/874641*c_1010_5^7 - 8263877/874641*c_1010_5^6 - 4810202/291547*c_1010_5^5 - 5478287/291547*c_1010_5^4 - 17411018/874641*c_1010_5^3 - 12011219/874641*c_1010_5^2 - 1068668/874641*c_1010_5 + 902805/291547, c_0011_11 - 98869/874641*c_1010_5^9 - 314869/874641*c_1010_5^8 + 678620/874641*c_1010_5^7 + 3848770/874641*c_1010_5^6 + 2279084/291547*c_1010_5^5 + 2810845/291547*c_1010_5^4 + 7263781/874641*c_1010_5^3 + 5300860/874641*c_1010_5^2 - 129977/874641*c_1010_5 - 626001/291547, c_0011_3 - 19976/291547*c_1010_5^9 - 42976/291547*c_1010_5^8 + 228832/291547*c_1010_5^7 + 633882/291547*c_1010_5^6 + 225932/291547*c_1010_5^5 + 148795/291547*c_1010_5^4 + 361783/291547*c_1010_5^3 - 725922/291547*c_1010_5^2 - 190658/291547*c_1010_5 + 176609/291547, c_0011_5 + 33904/291547*c_1010_5^9 + 171952/291547*c_1010_5^8 - 112364/291547*c_1010_5^7 - 1995908/291547*c_1010_5^6 - 4044786/291547*c_1010_5^5 - 4172604/291547*c_1010_5^4 - 4723478/291547*c_1010_5^3 - 3363219/291547*c_1010_5^2 - 131768/291547*c_1010_5 + 1004333/291547, c_0011_8 + 551069/874641*c_1010_5^9 + 1929314/874641*c_1010_5^8 - 3917494/874641*c_1010_5^7 - 23794199/874641*c_1010_5^6 - 12451338/291547*c_1010_5^5 - 13914318/291547*c_1010_5^4 - 45937289/874641*c_1010_5^3 - 25924637/874641*c_1010_5^2 + 1304068/874641*c_1010_5 + 1834305/291547, c_0101_0 + 386144/874641*c_1010_5^9 + 1199351/874641*c_1010_5^8 - 3086407/874641*c_1010_5^7 - 15252143/874641*c_1010_5^6 - 7175843/291547*c_1010_5^5 - 7965302/291547*c_1010_5^4 - 25055195/874641*c_1010_5^3 - 12096416/874641*c_1010_5^2 + 3155059/874641*c_1010_5 + 1271891/291547, c_0101_1 + 32594/874641*c_1010_5^9 + 127334/874641*c_1010_5^8 - 189130/874641*c_1010_5^7 - 1502657/874641*c_1010_5^6 - 887224/291547*c_1010_5^5 - 1138520/291547*c_1010_5^4 - 4407476/874641*c_1010_5^3 - 2501564/874641*c_1010_5^2 - 1019204/874641*c_1010_5 + 26999/291547, c_1001_0 - 1, c_1001_1 - 70240/291547*c_1010_5^9 - 229108/291547*c_1010_5^8 + 548688/291547*c_1010_5^7 + 2887622/291547*c_1010_5^6 + 4148910/291547*c_1010_5^5 + 4488562/291547*c_1010_5^4 + 4696297/291547*c_1010_5^3 + 2443963/291547*c_1010_5^2 - 465717/291547*c_1010_5 - 699197/291547, c_1001_10 - 32594/874641*c_1010_5^9 - 127334/874641*c_1010_5^8 + 189130/874641*c_1010_5^7 + 1502657/874641*c_1010_5^6 + 887224/291547*c_1010_5^5 + 1138520/291547*c_1010_5^4 + 4407476/874641*c_1010_5^3 + 2501564/874641*c_1010_5^2 + 144563/874641*c_1010_5 - 318546/291547, c_1001_3 - 84716/874641*c_1010_5^9 - 196034/874641*c_1010_5^8 + 808273/874641*c_1010_5^7 + 2645723/874641*c_1010_5^6 + 930656/291547*c_1010_5^5 + 1248931/291547*c_1010_5^4 + 3998420/874641*c_1010_5^3 + 1912772/874641*c_1010_5^2 - 511408/874641*c_1010_5 + 3746/291547, c_1010_5^10 + 4*c_1010_5^9 - 5*c_1010_5^8 - 46*c_1010_5^7 - 93*c_1010_5^6 - 120*c_1010_5^5 - 130*c_1010_5^4 - 100*c_1010_5^3 - 31*c_1010_5^2 + 12*c_1010_5 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB