Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 3002281646] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s694 geometric_solution 5.19860636 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489482980689 0.261743636265 2 0 3 0 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921819495805 0.587788386571 1 4 3 5 0132 0132 3012 0132 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 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 0.963749902668 0.944696237196 5 2 4 1 3201 1230 1023 0132 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 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 0.963749902668 0.944696237196 4 2 3 4 3201 0132 1023 2310 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 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 0 0 0 0.016173120824 0.909582284871 5 5 2 3 1230 3012 0132 2310 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 0 0 0 0 0 1.016173120824 0.909582284871 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 348763963793/9941016720*c_0101_1^9 + 435494823819/3313672240*c_0101_1^8 + 14756607583/207104515*c_0101_1^7 - 7358366620413/1656836120*c_0101_1^6 - 156134939083/248525418*c_0101_1^5 + 7799342956781/1988203344*c_0101_1^4 + 3975597355951/497050836*c_0101_1^3 + 4965054513843/828418060*c_0101_1^2 + 1652606917397/621313545*c_0101_1 + 5750308361527/9941016720, c_0011_0 - 1, c_0011_1 - 14912030/41420903*c_0101_1^9 - 52961542/41420903*c_0101_1^8 - 21073414/41420903*c_0101_1^7 + 1887950302/41420903*c_0101_1^6 - 101691725/41420903*c_0101_1^5 - 1510386083/41420903*c_0101_1^4 - 3111839020/41420903*c_0101_1^3 - 2045734792/41420903*c_0101_1^2 - 939971904/41420903*c_0101_1 - 190708551/41420903, c_0011_3 + 480379231/331367224*c_0011_5*c_0101_1^9 + 1748874375/331367224*c_0011_5*c_0101_1^8 + 97910295/41420903*c_0011_5*c_0101_1^7 - 30452679969/165683612*c_0011_5*c_0101_1^6 - 267096243/41420903*c_0011_5*c_0101_1^5 + 54943878943/331367224*c_0011_5*c_0101_1^4 + 25374065549/82841806*c_0011_5*c_0101_1^3 + 17814170641/82841806*c_0011_5*c_0101_1^2 + 3764147538/41420903*c_0011_5*c_0101_1 + 6317175881/331367224*c_0011_5, c_0011_5^2 + 152011103/662734448*c_0101_1^9 + 564043151/662734448*c_0101_1^8 + 18613609/41420903*c_0101_1^7 - 9615835089/331367224*c_0101_1^6 - 257430033/82841806*c_0101_1^5 + 15915639631/662734448*c_0101_1^4 + 8873484797/165683612*c_0101_1^3 + 6173301459/165683612*c_0101_1^2 + 719973204/41420903*c_0101_1 + 2057513929/662734448, c_0101_0 - 27477005/165683612*c_0101_1^9 - 117104293/165683612*c_0101_1^8 - 25901781/41420903*c_0101_1^7 + 1737490261/82841806*c_0101_1^6 + 577898006/41420903*c_0101_1^5 - 3497940349/165683612*c_0101_1^4 - 2162728605/41420903*c_0101_1^3 - 1645473942/41420903*c_0101_1^2 - 743882250/41420903*c_0101_1 - 381847319/165683612, c_0101_1^10 + 4*c_0101_1^9 + 3*c_0101_1^8 - 126*c_0101_1^7 - 50*c_0101_1^6 + 105*c_0101_1^5 + 255*c_0101_1^4 + 232*c_0101_1^3 + 124*c_0101_1^2 + 39*c_0101_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB