Magma V2.19-8 Wed Aug 21 2013 00:53:33 on localhost [Seed = 3734555454] Type ? for help. Type -D to quit. Loading file "L12n1640__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1640 geometric_solution 12.02534786 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 2 1 2 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 1 -1 -1 0 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 0.474645221172 1.212645147498 0 4 6 5 0132 1023 0132 0132 2 2 2 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 1 0 -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 0.440209640685 1.430177809783 7 0 8 3 0132 0132 0132 0132 0 2 2 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 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 0.244470321856 0.560040302831 9 10 2 0 0132 0132 0132 0132 0 2 2 2 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 1 0 -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 0.162336674043 1.066806517731 1 8 0 10 1023 0132 0132 0132 0 2 2 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 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 0.401703510608 0.319351156619 11 10 1 12 0132 1023 0132 0132 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436835675725 0.344930349214 9 9 11 1 3201 2103 3012 0132 2 2 1 2 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 -1 1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429018448998 0.823351114640 2 8 11 9 0132 1023 1230 1302 2 2 1 2 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 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337163274402 0.738955348246 7 4 10 2 1023 0132 0132 0132 0 2 1 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 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 1.345304768652 1.499796428630 3 6 7 6 0132 2103 2031 2310 1 2 2 2 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 1 1 -2 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 0.502277931605 0.955203723175 5 3 4 8 1023 0132 0132 0132 0 2 2 2 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 -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 0.613155113513 0.944831665960 5 6 12 7 0132 1230 3012 3012 2 2 2 2 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 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 0.657210568553 1.085737703940 12 11 5 12 3012 1230 0132 1230 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975983948802 1.020549021499 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_8'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_1']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1100_0'], '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' : negation(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' : 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' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), '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_0'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_3']), '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_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_6']), '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_3'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_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_12, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2885325165248/501804963*c_1100_0^7 + 3131553890240/501804963*c_1100_0^6 + 9519885477920/501804963*c_1100_0^5 + 9028212834152/501804963*c_1100_0^4 + 11396879568152/501804963*c_1100_0^3 + 8241765453584/501804963*c_1100_0^2 + 1501363808528/167268321*c_1100_0 + 1729560462328/501804963, c_0011_0 - 1, c_0011_10 - 336/25*c_1100_0^7 - 308/25*c_1100_0^6 - 1122/25*c_1100_0^5 - 179/5*c_1100_0^4 - 1369/25*c_1100_0^3 - 828/25*c_1100_0^2 - 566/25*c_1100_0 - 169/25, c_0011_12 + 28/25*c_1100_0^7 + 134/25*c_1100_0^6 + 131/25*c_1100_0^5 + 67/5*c_1100_0^4 + 237/25*c_1100_0^3 + 269/25*c_1100_0^2 + 143/25*c_1100_0 + 37/25, c_0011_6 + 2*c_1100_0^7 + 3*c_1100_0^6 + 15/2*c_1100_0^5 + 9*c_1100_0^4 + 21/2*c_1100_0^3 + 9*c_1100_0^2 + 11/2*c_1100_0 + 2, c_0101_0 - 1, c_0101_1 + 6*c_1100_0^7 + 7*c_1100_0^6 + 39/2*c_1100_0^5 + 39/2*c_1100_0^4 + 45/2*c_1100_0^3 + 33/2*c_1100_0^2 + 17/2*c_1100_0 + 5/2, c_0101_10 + 352/25*c_1100_0^7 + 256/25*c_1100_0^6 + 1104/25*c_1100_0^5 + 148/5*c_1100_0^4 + 1208/25*c_1100_0^3 + 696/25*c_1100_0^2 + 412/25*c_1100_0 + 133/25, c_0101_11 - 96/25*c_1100_0^7 - 188/25*c_1100_0^6 - 442/25*c_1100_0^5 - 109/5*c_1100_0^4 - 684/25*c_1100_0^3 - 508/25*c_1100_0^2 - 351/25*c_1100_0 - 84/25, c_0101_3 + 196/25*c_1100_0^7 + 138/25*c_1100_0^6 + 617/25*c_1100_0^5 + 79/5*c_1100_0^4 + 684/25*c_1100_0^3 + 358/25*c_1100_0^2 + 251/25*c_1100_0 + 59/25, c_0101_8 - 156/25*c_1100_0^7 - 118/25*c_1100_0^6 - 487/25*c_1100_0^5 - 69/5*c_1100_0^4 - 524/25*c_1100_0^3 - 338/25*c_1100_0^2 - 161/25*c_1100_0 - 49/25, c_1001_0 - 1, c_1001_2 - 6*c_1100_0^7 - 7*c_1100_0^6 - 39/2*c_1100_0^5 - 39/2*c_1100_0^4 - 45/2*c_1100_0^3 - 33/2*c_1100_0^2 - 15/2*c_1100_0 - 5/2, c_1100_0^8 + 3/2*c_1100_0^7 + 15/4*c_1100_0^6 + 9/2*c_1100_0^5 + 21/4*c_1100_0^4 + 9/2*c_1100_0^3 + 11/4*c_1100_0^2 + 5/4*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB