Magma V2.19-8 Tue Aug 20 2013 23:46:50 on localhost [Seed = 2050756689] Type ? for help. Type -D to quit. Loading file "K14n27179__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n27179 geometric_solution 10.15508485 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 17 0 0 -17 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541862991334 0.778240322031 0 5 7 6 0132 0132 0132 0132 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 -17 0 18 -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 0.744523379761 0.850710028518 8 0 3 8 0132 0132 3012 1023 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 1 -1 0 0 0 0 0 17 0 0 -17 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.263714127244 1.088372327471 5 2 7 0 3120 1230 3120 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 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 0.684568078028 0.400604538052 9 10 0 8 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 -1 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 0 17 -17 -18 0 0 18 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561753912324 0.954255031484 6 1 11 3 0132 0132 0132 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 -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 0.608421659519 0.305727245415 5 11 1 9 0132 0132 0132 2031 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 1 -1 0 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644341705225 0.200051909149 9 10 3 1 3120 0321 3120 0132 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 18 0 0 -18 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579059356935 0.561244645959 2 4 10 2 0132 0321 1023 1023 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 0 0 0 0 0 0 0 1 -18 0 17 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.263714127244 1.088372327471 4 6 11 7 0132 1302 1302 3120 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 18 -18 0 0 0 0 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417441154284 0.665645519972 11 4 8 7 2103 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.088140344416 0.636772256847 9 6 10 5 2031 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 -18 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608421659519 0.305727245415 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : 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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : 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_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_1001_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0101_8'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_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_5'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1001_3']})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1031138/1429*c_1001_5^5 + 2230496/1429*c_1001_5^4 - 2020221/1429*c_1001_5^3 + 5998371/1429*c_1001_5^2 + 6418921/1429*c_1001_5 - 32227588/1429, c_0011_0 - 1, c_0011_10 - 74/1429*c_1001_5^5 + 169/1429*c_1001_5^4 - 500/1429*c_1001_5^3 + 723/1429*c_1001_5^2 + 61/1429*c_1001_5 + 382/1429, c_0011_3 - 31/1429*c_1001_5^5 - 103/1429*c_1001_5^4 + 254/1429*c_1001_5^3 - 373/1429*c_1001_5^2 + 1358/1429*c_1001_5 + 469/1429, c_0011_7 - 122/1429*c_1001_5^5 + 240/1429*c_1001_5^4 - 245/1429*c_1001_5^3 + 883/1429*c_1001_5^2 + 873/1429*c_1001_5 - 413/1429, c_0101_0 - 74/1429*c_1001_5^5 + 169/1429*c_1001_5^4 - 500/1429*c_1001_5^3 + 723/1429*c_1001_5^2 + 61/1429*c_1001_5 - 1047/1429, c_0101_1 + 35/1429*c_1001_5^5 - 22/1429*c_1001_5^4 + 82/1429*c_1001_5^3 - 593/1429*c_1001_5^2 - 473/1429*c_1001_5 - 760/1429, c_0101_10 - 91/1429*c_1001_5^5 + 343/1429*c_1001_5^4 - 499/1429*c_1001_5^3 + 1256/1429*c_1001_5^2 - 485/1429*c_1001_5 - 882/1429, c_0101_2 + 91/1429*c_1001_5^5 - 343/1429*c_1001_5^4 + 499/1429*c_1001_5^3 - 1256/1429*c_1001_5^2 + 485/1429*c_1001_5 + 882/1429, c_0101_5 - 157/1429*c_1001_5^5 + 262/1429*c_1001_5^4 - 327/1429*c_1001_5^3 + 1476/1429*c_1001_5^2 - 83/1429*c_1001_5 - 1082/1429, c_0101_8 - 31/1429*c_1001_5^5 - 103/1429*c_1001_5^4 + 254/1429*c_1001_5^3 - 373/1429*c_1001_5^2 + 1358/1429*c_1001_5 + 469/1429, c_1001_3 + 35/1429*c_1001_5^5 - 22/1429*c_1001_5^4 + 82/1429*c_1001_5^3 - 593/1429*c_1001_5^2 - 473/1429*c_1001_5 - 760/1429, c_1001_5^6 - 3*c_1001_5^5 + 5*c_1001_5^4 - 12*c_1001_5^3 + 8*c_1001_5^2 + 15*c_1001_5 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1150557/13*c_1001_5^5 + 40173687/52*c_1001_5^4 - 55888425/52*c_1001_5^3 - 93922409/52*c_1001_5^2 - 279041249/52*c_1001_5 + 130741409/52, c_0011_0 - 1, c_0011_10 + 12*c_1001_5^5 - 43*c_1001_5^4 - 102*c_1001_5^3 - 174*c_1001_5^2 + 13*c_1001_5 + 30, c_0011_3 + 25*c_1001_5^5 - 90*c_1001_5^4 - 211*c_1001_5^3 - 360*c_1001_5^2 + 30*c_1001_5 + 62, c_0011_7 + 15*c_1001_5^5 - 54*c_1001_5^4 - 127*c_1001_5^3 - 216*c_1001_5^2 + 18*c_1001_5 + 37, c_0101_0 - 12*c_1001_5^5 + 43*c_1001_5^4 + 102*c_1001_5^3 + 174*c_1001_5^2 - 13*c_1001_5 - 30, c_0101_1 + 5*c_1001_5^5 - 18*c_1001_5^4 - 42*c_1001_5^3 - 71*c_1001_5^2 + 7*c_1001_5 + 12, c_0101_10 + 25*c_1001_5^5 - 90*c_1001_5^4 - 211*c_1001_5^3 - 360*c_1001_5^2 + 30*c_1001_5 + 62, c_0101_2 + 62*c_1001_5^5 - 223*c_1001_5^4 - 524*c_1001_5^3 - 893*c_1001_5^2 + 74*c_1001_5 + 154, c_0101_5 + c_1001_5, c_0101_8 - 62*c_1001_5^5 + 223*c_1001_5^4 + 524*c_1001_5^3 + 893*c_1001_5^2 - 74*c_1001_5 - 154, c_1001_3 + 22*c_1001_5^5 - 79*c_1001_5^4 - 186*c_1001_5^3 - 317*c_1001_5^2 + 25*c_1001_5 + 54, c_1001_5^6 - 4*c_1001_5^5 - 7*c_1001_5^4 - 11*c_1001_5^3 + 7*c_1001_5^2 + 2*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.980 Total time: 2.189 seconds, Total memory usage: 64.12MB