Magma V2.19-8 Tue Aug 20 2013 23:38:12 on localhost [Seed = 2564750522] Type ? for help. Type -D to quit. Loading file "K10n16__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n16 geometric_solution 8.89681676 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 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 1 0 -1 0 0 0 0 -1 1 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932363519903 0.650070664017 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -8 8 0 0 0 0 0 -9 0 0 9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402716451524 0.612850186660 6 0 9 8 3012 0132 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 -1 0 1 0 0 0 0 0 9 0 -9 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537774595776 0.730595335258 6 9 4 0 0132 0132 0213 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 0.706137218924 0.350494851627 9 3 0 8 2031 0213 0132 2031 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 0 1 -1 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604647582954 0.834370480030 9 1 7 6 0213 0132 2310 3201 0 0 0 0 0 -1 0 1 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 8 1 -9 -1 0 1 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575585282975 0.288357890306 3 5 1 2 0132 2310 0132 1230 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 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.086462968632 1.032313508200 8 5 8 1 3012 3201 1302 0132 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 8 0 -8 -1 0 1 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 -0.094480832152 0.972547120813 7 4 2 7 2031 1302 0132 1230 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 -1 1 0 0 0 0 0 1 0 -1 -1 -8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.098956171535 1.018614437662 5 3 4 2 0213 0132 1302 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 1 0 0 -1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440236850687 0.511155192187 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_1']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_4'], 'c_1001_8' : d['c_0110_4'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 'c_1100_9' : d['c_0101_1'], 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0101_1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_8']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(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' : 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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_3'], '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_8'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_0110_4, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 588351/5593*c_1001_2^15 - 1888305/1316*c_1001_2^14 + 200204831/22372*c_1001_2^13 - 764883555/22372*c_1001_2^12 + 1015158729/11186*c_1001_2^11 - 4033942491/22372*c_1001_2^10 + 3151642355/11186*c_1001_2^9 - 170293077/476*c_1001_2^8 + 247931911/658*c_1001_2^7 - 7442218593/22372*c_1001_2^6 + 787600783/3196*c_1001_2^5 - 3398113127/22372*c_1001_2^4 + 852801283/11186*c_1001_2^3 - 669187871/22372*c_1001_2^2 + 187881979/22372*c_1001_2 - 24600589/22372, c_0011_0 - 1, c_0011_3 + c_1001_2^3 - 2*c_1001_2^2 + c_1001_2 - 1, c_0011_8 + 1/2*c_1001_2^15 - 11/2*c_1001_2^14 + 53/2*c_1001_2^13 - 75*c_1001_2^12 + 287/2*c_1001_2^11 - 206*c_1001_2^10 + 479/2*c_1001_2^9 - 236*c_1001_2^8 + 413/2*c_1001_2^7 - 333/2*c_1001_2^6 + 245/2*c_1001_2^5 - 83*c_1001_2^4 + 99/2*c_1001_2^3 - 47/2*c_1001_2^2 + 19/2*c_1001_2 - 2, c_0101_0 - c_1001_2^15 + 13*c_1001_2^14 - 77*c_1001_2^13 + 280*c_1001_2^12 - 714*c_1001_2^11 + 1382*c_1001_2^10 - 2130*c_1001_2^9 + 2685*c_1001_2^8 - 2815*c_1001_2^7 + 2479*c_1001_2^6 - 1833*c_1001_2^5 + 1131*c_1001_2^4 - 573*c_1001_2^3 + 227*c_1001_2^2 - 67*c_1001_2 + 11, c_0101_1 + c_1001_2^2 - c_1001_2 + 1, c_0101_2 - 1/2*c_1001_2^15 + 13/2*c_1001_2^14 - 77/2*c_1001_2^13 + 140*c_1001_2^12 - 715/2*c_1001_2^11 + 695*c_1001_2^10 - 2157/2*c_1001_2^9 + 1369*c_1001_2^8 - 2889/2*c_1001_2^7 + 2563/2*c_1001_2^6 - 1911/2*c_1001_2^5 + 596*c_1001_2^4 - 615/2*c_1001_2^3 + 249/2*c_1001_2^2 - 77/2*c_1001_2 + 7, c_0101_8 + c_1001_2^4 - 3*c_1001_2^3 + 4*c_1001_2^2 - 3*c_1001_2 + 2, c_0110_4 - 1/2*c_1001_2^15 + 13/2*c_1001_2^14 - 77/2*c_1001_2^13 + 139*c_1001_2^12 - 693/2*c_1001_2^11 + 642*c_1001_2^10 - 1857/2*c_1001_2^9 + 1082*c_1001_2^8 - 2069/2*c_1001_2^7 + 1635/2*c_1001_2^6 - 1065/2*c_1001_2^5 + 281*c_1001_2^4 - 231/2*c_1001_2^3 + 69/2*c_1001_2^2 - 11/2*c_1001_2, c_1001_1 + 1/2*c_1001_2^15 - 13/2*c_1001_2^14 + 77/2*c_1001_2^13 - 140*c_1001_2^12 + 715/2*c_1001_2^11 - 696*c_1001_2^10 + 2175/2*c_1001_2^9 - 1404*c_1001_2^8 + 3047/2*c_1001_2^7 - 2803/2*c_1001_2^6 + 2183/2*c_1001_2^5 - 715*c_1001_2^4 + 773/2*c_1001_2^3 - 329/2*c_1001_2^2 + 105/2*c_1001_2 - 9, c_1001_2^16 - 13*c_1001_2^15 + 77*c_1001_2^14 - 280*c_1001_2^13 + 715*c_1001_2^12 - 1392*c_1001_2^11 + 2175*c_1001_2^10 - 2808*c_1001_2^9 + 3049*c_1001_2^8 - 2815*c_1001_2^7 + 2213*c_1001_2^6 - 1476*c_1001_2^5 + 827*c_1001_2^4 - 377*c_1001_2^3 + 135*c_1001_2^2 - 34*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB