Magma V2.19-8 Tue Aug 20 2013 23:40:39 on localhost [Seed = 4088764257] Type ? for help. Type -D to quit. Loading file "L11n184__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n184 geometric_solution 9.63751442 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 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 0 0 0 0 0 0 0 -1 0 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 0.811498880317 0.550858178739 0 4 4 5 0132 0132 1302 0132 1 1 1 1 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 0 5 -5 -1 0 1 0 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156424293335 0.572632432001 0 0 3 6 3012 0132 0321 0132 0 0 1 1 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 1 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 0.556087564505 1.625058692054 6 7 2 0 0321 0132 0321 0132 0 1 1 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 -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 0.459863635969 0.393485184968 1 1 8 9 2031 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 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 0 0 -5 0 0 5 1 0 0 -1 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556087564505 1.625058692054 6 9 1 7 1302 3120 0132 1302 1 1 0 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.097813876232 1.523437064525 3 5 2 10 0321 2031 0132 0132 0 0 1 1 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 -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 0.286639902668 0.500172857972 8 3 5 10 0132 0132 2031 0213 0 1 0 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 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 0.478512753387 0.909094575163 7 9 10 4 0132 3012 2310 0132 1 1 1 0 0 1 -1 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 6 -6 0 0 0 0 0 0 -5 0 5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025958243833 0.612833612342 8 5 4 10 1230 3120 0132 2310 1 1 0 1 0 -1 0 1 1 0 -1 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 -6 0 6 5 0 -5 0 0 0 0 0 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.653413365013 0.743946571741 9 8 6 7 3201 3201 0132 0213 0 0 1 1 0 0 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 0 0 0 0 0 -1 1 0 0 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 0.402521508563 0.870026696500 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_3']), '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_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_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : d['c_1001_3'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0101_9']), '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_9'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_5'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_6']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_5']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0011_9, c_0101_2, c_0101_4, c_0101_9, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2794294/1071*c_1001_3^9 - 22788644/1071*c_1001_3^8 - 112595615/1071*c_1001_3^7 - 680308877/2142*c_1001_3^6 - 717735322/1071*c_1001_3^5 - 1004333998/1071*c_1001_3^4 - 1745676293/2142*c_1001_3^3 - 919138435/2142*c_1001_3^2 - 136126394/1071*c_1001_3 - 5974877/357, c_0011_0 - 1, c_0011_10 + 78/119*c_1001_3^9 - 48/119*c_1001_3^8 - 1459/119*c_1001_3^7 - 22651/238*c_1001_3^6 - 32384/119*c_1001_3^5 - 135705/238*c_1001_3^4 - 145343/238*c_1001_3^3 - 83089/238*c_1001_3^2 - 25675/238*c_1001_3 - 3429/238, c_0011_3 + 3110/119*c_1001_3^9 + 23322/119*c_1001_3^8 + 15885/17*c_1001_3^7 + 627707/238*c_1001_3^6 + 1261529/238*c_1001_3^5 + 114706/17*c_1001_3^4 + 180341/34*c_1001_3^3 + 43123/17*c_1001_3^2 + 164433/238*c_1001_3 + 10034/119, c_0011_5 - 500/17*c_1001_3^9 - 26448/119*c_1001_3^8 - 126578/119*c_1001_3^7 - 359889/119*c_1001_3^6 - 727712/119*c_1001_3^5 - 937631/119*c_1001_3^4 - 748817/119*c_1001_3^3 - 364158/119*c_1001_3^2 - 100105/119*c_1001_3 - 12095/119, c_0011_6 - 6467/119*c_1001_3^9 - 48379/119*c_1001_3^8 - 460779/238*c_1001_3^7 - 370721/68*c_1001_3^6 - 5204971/476*c_1001_3^5 - 1649558/119*c_1001_3^4 - 5156443/476*c_1001_3^3 - 1222463/238*c_1001_3^2 - 93907/68*c_1001_3 - 39231/238, c_0011_9 - 789/17*c_1001_3^9 - 41731/119*c_1001_3^8 - 398659/238*c_1001_3^7 - 2261047/476*c_1001_3^6 - 4547115/476*c_1001_3^5 - 1451643/119*c_1001_3^4 - 4530623/476*c_1001_3^3 - 1059935/238*c_1001_3^2 - 552893/476*c_1001_3 - 31279/238, c_0101_2 + 3357/119*c_1001_3^9 + 25057/119*c_1001_3^8 + 238389/238*c_1001_3^7 + 1339633/476*c_1001_3^6 + 2681913/476*c_1001_3^5 + 846616/119*c_1001_3^4 + 2631669/476*c_1001_3^3 + 618741/238*c_1001_3^2 + 328483/476*c_1001_3 + 19163/238, c_0101_4 - 4654/119*c_1001_3^9 - 36984/119*c_1001_3^8 - 180821/119*c_1001_3^7 - 1071285/238*c_1001_3^6 - 159254/17*c_1001_3^5 - 3039159/238*c_1001_3^4 - 2568347/238*c_1001_3^3 - 1304227/238*c_1001_3^2 - 368443/238*c_1001_3 - 44963/238, c_0101_9 - 4681/119*c_1001_3^9 - 34131/119*c_1001_3^8 - 320525/238*c_1001_3^7 - 1756537/476*c_1001_3^6 - 490581/68*c_1001_3^5 - 2065099/238*c_1001_3^4 - 2967593/476*c_1001_3^3 - 313188/119*c_1001_3^2 - 286971/476*c_1001_3 - 6827/119, c_0110_5 + 1, c_1001_3^10 + 8*c_1001_3^9 + 79/2*c_1001_3^8 + 475/4*c_1001_3^7 + 253*c_1001_3^6 + 1435/4*c_1001_3^5 + 1321/4*c_1001_3^4 + 785/4*c_1001_3^3 + 293/4*c_1001_3^2 + 63/4*c_1001_3 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB