Magma V2.19-8 Wed Aug 21 2013 00:34:36 on localhost [Seed = 2749739722] Type ? for help. Type -D to quit. Loading file "K14n2186__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2186 geometric_solution 11.74878889 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476860846535 1.228628516453 0 3 6 5 0132 3120 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.635340387476 0.410777605454 6 0 8 7 0132 0132 0132 0132 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 1 0 -1 1 0 5 -6 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511321406208 0.738797303524 9 1 10 0 0132 3120 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162935487553 0.565703468928 11 5 0 10 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 -1.236687191086 0.746862415354 9 8 1 4 2103 0213 0132 0321 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 1 -1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690972228669 0.679029428263 2 7 12 1 0132 2103 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761848507720 0.572096217365 11 6 2 10 2103 2103 0132 0321 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 -1 1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382733149379 1.779675907423 11 12 5 2 3120 0213 0213 0132 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 5 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121386051662 0.890774801881 3 12 5 11 0132 2103 2103 3201 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 5 -5 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 0.315298770551 1.046586396532 12 7 4 3 0132 0321 0132 0132 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 1 0 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328292021131 0.829541299658 4 9 7 8 0132 2310 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309048354388 0.762029553513 10 9 8 6 0132 2103 0213 0132 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 1 -1 6 -5 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904178426237 1.180366334973 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_1001_1']), '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_10'], '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' : 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' : 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' : negation(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' : negation(d['c_0011_11']), 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_2'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1001_2'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0011_8'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0011_8'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), '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_8'], 'c_0110_8' : d['c_0101_1'], '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_10'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_10'], '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_1001_1, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 160658092311537/252854569714432*c_1100_0^10 + 186150052033455/126427284857216*c_1100_0^9 - 4575976965275/1859224777312*c_1100_0^8 - 958398537284967/63213642428608*c_1100_0^7 + 8330458117032153/126427284857216*c_1100_0^6 - 94607605926689/415879226504*c_1100_0^5 + 1454817646368363/3327033812032*c_1100_0^4 - 47079230332429809/63213642428608*c_1100_0^3 + 24895859356551025/36122081387776*c_1100_0^2 - 77001773617642127/126427284857216*c_1100_0 + 2993233324319951/63213642428608, c_0011_0 - 1, c_0011_10 - 103/30848*c_1100_0^10 + 407/30848*c_1100_0^9 - 797/30848*c_1100_0^8 - 2137/30848*c_1100_0^7 + 15177/30848*c_1100_0^6 - 55055/30848*c_1100_0^5 + 121457/30848*c_1100_0^4 - 205075/30848*c_1100_0^3 + 111149/15424*c_1100_0^2 - 41783/7712*c_1100_0 + 3475/1928, c_0011_11 - 189/61696*c_1100_0^10 + 405/30848*c_1100_0^9 - 117/7712*c_1100_0^8 - 477/7712*c_1100_0^7 + 14637/30848*c_1100_0^6 - 22341/15424*c_1100_0^5 + 53545/15424*c_1100_0^4 - 40365/7712*c_1100_0^3 + 405723/61696*c_1100_0^2 - 116387/30848*c_1100_0 + 41475/15424, c_0011_3 + 13/30848*c_1100_0^10 + 41/15424*c_1100_0^9 - 117/15424*c_1100_0^8 + 123/7712*c_1100_0^7 + 237/3856*c_1100_0^6 - 1669/7712*c_1100_0^5 + 12915/15424*c_1100_0^4 - 11145/7712*c_1100_0^3 + 74499/30848*c_1100_0^2 - 20963/15424*c_1100_0 + 8019/7712, c_0011_7 - 27/15424*c_1100_0^10 - 11/7712*c_1100_0^9 + 1/3856*c_1100_0^8 - 307/7712*c_1100_0^7 + 101/1928*c_1100_0^6 - 51/241*c_1100_0^5 + 75/3856*c_1100_0^4 - 515/7712*c_1100_0^3 - 11241/15424*c_1100_0^2 - 2511/7712*c_1100_0 - 2269/3856, c_0011_8 + 81/15424*c_1100_0^10 - 175/15424*c_1100_0^9 + 229/15424*c_1100_0^8 + 2083/15424*c_1100_0^7 - 7967/15424*c_1100_0^6 + 25939/15424*c_1100_0^5 - 47413/15424*c_1100_0^4 + 75149/15424*c_1100_0^3 - 30977/7712*c_1100_0^2 + 12563/3856*c_1100_0 - 162/241, c_0101_0 - 15/30848*c_1100_0^10 + 101/15424*c_1100_0^9 - 53/7712*c_1100_0^8 - 179/7712*c_1100_0^7 + 2929/15424*c_1100_0^6 - 997/1928*c_1100_0^5 + 4399/3856*c_1100_0^4 - 10573/7712*c_1100_0^3 + 38581/30848*c_1100_0^2 + 3907/15424*c_1100_0 + 1685/7712, c_0101_1 + 181/61696*c_1100_0^10 - 319/30848*c_1100_0^9 + 135/7712*c_1100_0^8 + 971/15424*c_1100_0^7 - 12625/30848*c_1100_0^6 + 10581/7712*c_1100_0^5 - 46025/15424*c_1100_0^4 + 72665/15424*c_1100_0^3 - 323579/61696*c_1100_0^2 + 109859/30848*c_1100_0 - 12299/15424, c_0101_10 + 13/30848*c_1100_0^10 + 41/15424*c_1100_0^9 - 117/15424*c_1100_0^8 + 123/7712*c_1100_0^7 + 237/3856*c_1100_0^6 - 1669/7712*c_1100_0^5 + 12915/15424*c_1100_0^4 - 11145/7712*c_1100_0^3 + 74499/30848*c_1100_0^2 - 20963/15424*c_1100_0 + 8019/7712, c_1001_1 + 39/30848*c_1100_0^10 + 5/30848*c_1100_0^9 + 21/30848*c_1100_0^8 + 753/30848*c_1100_0^7 - 1301/30848*c_1100_0^6 + 6723/30848*c_1100_0^5 - 11921/30848*c_1100_0^4 + 24115/30848*c_1100_0^3 - 9595/15424*c_1100_0^2 + 3621/7712*c_1100_0 + 567/964, c_1001_10 - 177/30848*c_1100_0^10 + 311/30848*c_1100_0^9 - 429/30848*c_1100_0^8 - 4641/30848*c_1100_0^7 + 16249/30848*c_1100_0^6 - 51683/30848*c_1100_0^5 + 83505/30848*c_1100_0^4 - 128243/30848*c_1100_0^3 + 20559/7712*c_1100_0^2 - 1019/482*c_1100_0 - 1265/3856, c_1001_2 + 15/30848*c_1100_0^10 - 101/15424*c_1100_0^9 + 53/7712*c_1100_0^8 + 179/7712*c_1100_0^7 - 2929/15424*c_1100_0^6 + 997/1928*c_1100_0^5 - 4399/3856*c_1100_0^4 + 10573/7712*c_1100_0^3 - 38581/30848*c_1100_0^2 - 3907/15424*c_1100_0 - 1685/7712, c_1100_0^11 - 3*c_1100_0^10 + 6*c_1100_0^9 + 20*c_1100_0^8 - 118*c_1100_0^7 + 442*c_1100_0^6 - 988*c_1100_0^5 + 1832*c_1100_0^4 - 2243*c_1100_0^3 + 2305*c_1100_0^2 - 1266*c_1100_0 + 524 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.840 Total time: 2.060 seconds, Total memory usage: 64.12MB