Magma V2.19-8 Wed Aug 21 2013 00:20:42 on localhost [Seed = 1208900195] Type ? for help. Type -D to quit. Loading file "K14n10548__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n10548 geometric_solution 11.70640580 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 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 0 1 23 0 0 -23 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214738801764 1.552310579941 0 1 1 2 0132 1230 3012 2310 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 -23 0 0 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362204544910 0.401120648320 1 0 6 5 3201 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 -23 1 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214738801764 1.552310579941 6 4 7 0 0213 0132 0132 0132 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 22 0 -22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165870155458 0.630560260084 8 3 0 9 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 -1 1 -23 0 23 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 -0.115355301091 0.846783534319 10 6 2 11 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 23 -23 0 0 22 -22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250479490417 0.937908757575 3 5 12 2 0213 0132 0132 0132 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 -1 1 0 0 0 0 0 22 0 -22 -22 23 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260233320121 0.713084561350 8 10 9 3 3012 0321 0132 0132 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 -22 0 22 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.862909359647 0.943723644055 4 12 10 7 0132 3012 2310 1230 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 23 0 -23 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 1.645382871013 1.875575811528 11 12 4 7 0213 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 1 -1 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 0.483882383673 0.753583978646 5 8 11 7 0132 3201 3012 0321 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -22 0 0 22 -23 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504688119082 0.571741145132 9 10 5 12 0213 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416773002407 1.033792527213 8 9 11 6 1230 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 -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 0 0 0.636938430156 0.444819619962 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : 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_0011_9'], 'c_0101_10' : d['c_0011_9'], '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_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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_0101_12']), 'c_1100_8' : d['c_0011_10'], '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'], 'c_1100_12' : d['c_1100_11'], '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_9'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], '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_12'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_12, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_12, c_1001_0, c_1001_11, c_1100_0, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 133081972674730331/280905726166*c_1001_11*c_1100_11^5 + 111668721238231512/140452863083*c_1001_11*c_1100_11^4 - 429856294641335444/140452863083*c_1001_11*c_1100_11^3 - 138322374154352827/140452863083*c_1001_11*c_1100_11^2 + 44001137226189751/280905726166*c_1001_11*c_1100_11 + 413357613046908783/280905726166*c_1001_11 - 119178218695155391/421358589249*c_1100_11^5 + 200003099680436476/421358589249*c_1100_11^4 - 11157822062310215/6106646221*c_1100_11^3 - 82585137238525673/140452863083*c_1100_11^2 + 39420622180648420/421358589249*c_1100_11 + 370165640994525811/421358589249, c_0011_0 - 1, c_0011_10 + 13/47*c_1001_11*c_1100_11^5 - 12/47*c_1001_11*c_1100_11^4 + 60/47*c_1001_11*c_1100_11^3 + 108/47*c_1001_11*c_1100_11^2 - 16/47*c_1001_11*c_1100_11 - 49/47*c_1001_11 + 37/47*c_1100_11^5 - 45/47*c_1100_11^4 + 225/47*c_1100_11^3 + 170/47*c_1100_11^2 + 128/47*c_1100_11 - 31/47, c_0011_11 + 13/47*c_1001_11*c_1100_11^5 - 12/47*c_1001_11*c_1100_11^4 + 60/47*c_1001_11*c_1100_11^3 + 108/47*c_1001_11*c_1100_11^2 - 16/47*c_1001_11*c_1100_11 - 49/47*c_1001_11 + 37/47*c_1100_11^5 - 45/47*c_1100_11^4 + 225/47*c_1100_11^3 + 170/47*c_1100_11^2 + 81/47*c_1100_11 - 31/47, c_0011_12 + 37/47*c_1100_11^5 - 45/47*c_1100_11^4 + 225/47*c_1100_11^3 + 170/47*c_1100_11^2 + 81/47*c_1100_11 - 31/47, c_0011_3 - 19/47*c_1001_11*c_1100_11^5 + 32/47*c_1001_11*c_1100_11^4 - 113/47*c_1001_11*c_1100_11^3 - 53/47*c_1001_11*c_1100_11^2 + 74/47*c_1001_11*c_1100_11 + 68/47*c_1001_11 + 21/47*c_1100_11^5 - 23/47*c_1100_11^4 + 115/47*c_1100_11^3 + 113/47*c_1100_11^2 + 32/47*c_1100_11 - 43/47, c_0011_7 - 21/47*c_1100_11^5 + 23/47*c_1100_11^4 - 115/47*c_1100_11^3 - 113/47*c_1100_11^2 - 32/47*c_1100_11 + 43/47, c_0011_9 + c_1001_11 + 21/47*c_1100_11^5 - 23/47*c_1100_11^4 + 115/47*c_1100_11^3 + 113/47*c_1100_11^2 + 32/47*c_1100_11 - 43/47, c_0101_0 - 29/47*c_1100_11^5 + 34/47*c_1100_11^4 - 170/47*c_1100_11^3 - 118/47*c_1100_11^2 - 80/47*c_1100_11 + 84/47, c_0101_12 + 19/47*c_1001_11*c_1100_11^5 - 32/47*c_1001_11*c_1100_11^4 + 113/47*c_1001_11*c_1100_11^3 + 53/47*c_1001_11*c_1100_11^2 - 74/47*c_1001_11*c_1100_11 - 68/47*c_1001_11 - 56/47*c_1100_11^5 + 77/47*c_1100_11^4 - 338/47*c_1100_11^3 - 223/47*c_1100_11^2 - 54/47*c_1100_11 + 99/47, c_1001_0 - 35/47*c_1100_11^5 + 54/47*c_1100_11^4 - 223/47*c_1100_11^3 - 110/47*c_1100_11^2 - 22/47*c_1100_11 + 56/47, c_1001_11^2 - 350/47*c_1100_11^5 + 446/47*c_1100_11^4 - 2136/47*c_1100_11^3 - 1570/47*c_1100_11^2 - 784/47*c_1100_11 + 466/47, c_1100_0 - c_1100_11, c_1100_11^6 - 2*c_1100_11^5 + 7*c_1100_11^4 - c_1100_11^2 - 3*c_1100_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 13.280 Total time: 13.490 seconds, Total memory usage: 87.19MB