Magma V2.19-8 Tue Aug 20 2013 23:50:46 on localhost [Seed = 1360476782] Type ? for help. Type -D to quit. Loading file "L12n83__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n83 geometric_solution 11.08216662 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 1 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 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 0.652879634670 1.941070557132 0 4 6 5 0132 1023 0132 0132 1 1 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 0 0 0 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536080433269 0.897691321348 7 0 8 6 0132 0132 0132 1302 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 1 0 -1 -1 0 1 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 0.399957204237 0.506407386033 4 7 8 0 1023 0132 3012 0132 1 1 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 1 0 -1 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 0.416919113163 1.188327110489 1 3 0 9 1023 1023 0132 0132 1 1 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 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205933787413 0.466359607933 9 10 1 7 1023 0132 0132 3012 1 1 0 1 0 -1 0 1 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 -1 0 1 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 0.786488494212 0.849718579775 11 10 2 1 0132 0213 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 0.658836098086 1.161541399997 2 3 5 11 0132 0132 1230 3201 1 0 1 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 -1 0 1 1 0 -1 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 0.852100964295 0.737978814964 10 3 9 2 0321 1230 1230 0132 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 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 0.401838297634 0.592697019554 11 5 4 8 3120 1023 0132 3012 1 1 0 1 0 0 0 0 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 0 0 0 0 0 0 0 1 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196108965564 0.616318021227 8 5 6 11 0321 0132 0213 1302 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 0 0 0 0 0 0 0 0 0 0 0 1 -2 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 0.829418049043 0.580770699999 6 7 10 9 0132 2310 2031 3120 1 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 0 1 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 0.315270285671 0.325682232085 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_11']), '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_10' : 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' : negation(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_1100_9' : negation(d['c_1001_8']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_8']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_1001_8']), 'c_1100_3' : negation(d['c_1001_8']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_0101_6'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_7, c_0101_9, c_1001_0, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 748977/14007422*c_1001_8^2 + 219227/1077494*c_1001_8 - 4804601/14007422, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1, c_0011_8 + 18/43*c_1001_8^2 - 68/43*c_1001_8 + 62/43, c_0101_0 + 21/43*c_1001_8^2 - 108/43*c_1001_8 + 187/43, c_0101_1 - 6/43*c_1001_8^2 + 37/43*c_1001_8 - 35/43, c_0101_3 + c_1001_8 - 2, c_0101_6 + 12/43*c_1001_8^2 - 31/43*c_1001_8 - 16/43, c_0101_7 + 3/43*c_1001_8^2 - 40/43*c_1001_8 + 82/43, c_0101_9 - 6/43*c_1001_8^2 + 37/43*c_1001_8 - 121/43, c_1001_0 - 12/43*c_1001_8^2 + 74/43*c_1001_8 - 113/43, c_1001_8^3 - 22/3*c_1001_8^2 + 19*c_1001_8 - 67/3 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_7, c_0101_9, c_1001_0, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 143425/343068*c_1001_8^4 - 5784673/1029204*c_1001_8^3 - 17193799/1029204*c_1001_8^2 - 6089888/257301*c_1001_8 - 2490089/1029204, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1, c_0011_8 + 18/1243*c_1001_8^4 - 752/3729*c_1001_8^3 - 2152/3729*c_1001_8^2 + 1862/3729*c_1001_8 + 3094/3729, c_0101_0 - 434/11187*c_1001_8^4 + 692/1243*c_1001_8^3 + 11449/11187*c_1001_8^2 + 4526/3729*c_1001_8 - 2999/11187, c_0101_1 + 53/3729*c_1001_8^4 - 646/3729*c_1001_8^3 - 1057/1243*c_1001_8^2 - 2546/3729*c_1001_8 + 919/3729, c_0101_3 + 337/11187*c_1001_8^4 - 1549/3729*c_1001_8^3 - 12095/11187*c_1001_8^2 - 1645/1243*c_1001_8 - 395/11187, c_0101_6 - 19/22374*c_1001_8^4 + 257/7458*c_1001_8^3 - 6931/22374*c_1001_8^2 - 1943/3729*c_1001_8 + 5909/22374, c_0101_7 + 59/2486*c_1001_8^4 - 2603/7458*c_1001_8^3 - 3601/7458*c_1001_8^2 - 3923/3729*c_1001_8 + 2131/7458, c_0101_9 + 178/11187*c_1001_8^4 - 301/1243*c_1001_8^3 - 2582/11187*c_1001_8^2 + 1340/3729*c_1001_8 - 3152/11187, c_1001_0 - 19/11187*c_1001_8^4 + 257/3729*c_1001_8^3 - 6931/11187*c_1001_8^2 - 3886/3729*c_1001_8 - 5278/11187, c_1001_8^5 - 14*c_1001_8^4 - 32*c_1001_8^3 - 41*c_1001_8^2 + 7*c_1001_8 - 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB