Magma V2.19-8 Tue Aug 20 2013 16:16:57 on localhost [Seed = 4105529380] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1209 geometric_solution 5.10431908 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 0.870959954389 2.380051154326 0 4 5 3 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864404353625 0.370538935861 5 0 4 5 2103 0132 1302 1230 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 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 -0.218759527485 0.696424103218 6 1 6 0 0132 1302 1023 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 0.262334205029 0.448292615255 2 5 0 1 2031 0132 0132 2031 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218391273192 1.001122918717 2 4 2 1 3012 0132 2103 0132 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 -1 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 0.618539932720 0.353446359380 3 6 3 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518726463451 0.068592054902 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0110_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0110_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 854489/695888*c_0110_4^12 + 152741/173972*c_0110_4^11 + 3619795/347944*c_0110_4^10 - 6263137/695888*c_0110_4^9 - 23014885/695888*c_0110_4^8 + 1956140/43493*c_0110_4^7 + 9320437/347944*c_0110_4^6 - 45908573/695888*c_0110_4^5 - 41549/15128*c_0110_4^4 + 38125767/695888*c_0110_4^3 - 640135/43493*c_0110_4^2 - 1014033/43493*c_0110_4 + 621290/43493, c_0011_0 - 1, c_0011_3 - 2057/15128*c_0110_4^12 - 1179/7564*c_0110_4^11 + 8825/7564*c_0110_4^10 + 17227/15128*c_0110_4^9 - 62199/15128*c_0110_4^8 - 15199/7564*c_0110_4^7 + 57411/7564*c_0110_4^6 + 17231/15128*c_0110_4^5 - 15200/1891*c_0110_4^4 - 12673/15128*c_0110_4^3 + 39603/7564*c_0110_4^2 + 3809/3782*c_0110_4 - 3159/1891, c_0011_4 + 4265/15128*c_0110_4^12 + 275/7564*c_0110_4^11 - 20221/7564*c_0110_4^10 - 3043/15128*c_0110_4^9 + 152623/15128*c_0110_4^8 - 15753/7564*c_0110_4^7 - 125523/7564*c_0110_4^6 + 87121/15128*c_0110_4^5 + 29782/1891*c_0110_4^4 - 102183/15128*c_0110_4^3 - 68787/7564*c_0110_4^2 + 14833/3782*c_0110_4 + 4259/1891, c_0101_0 + 3709/15128*c_0110_4^12 + 3161/7564*c_0110_4^11 - 17091/7564*c_0110_4^10 - 54383/15128*c_0110_4^9 + 131799/15128*c_0110_4^8 + 77739/7564*c_0110_4^7 - 145205/7564*c_0110_4^6 - 198963/15128*c_0110_4^5 + 93507/3782*c_0110_4^4 + 141025/15128*c_0110_4^3 - 141189/7564*c_0110_4^2 - 6698/1891*c_0110_4 + 12930/1891, c_0101_1 - 1, c_0101_3 - 4659/15128*c_0110_4^12 - 3005/7564*c_0110_4^11 + 18589/7564*c_0110_4^10 + 47417/15128*c_0110_4^9 - 111357/15128*c_0110_4^8 - 52651/7564*c_0110_4^7 + 74123/7564*c_0110_4^6 + 119205/15128*c_0110_4^5 - 13868/1891*c_0110_4^4 - 76055/15128*c_0110_4^3 + 26473/7564*c_0110_4^2 + 3073/1891*c_0110_4 - 502/1891, c_0110_4^13 - 10*c_0110_4^11 + c_0110_4^10 + 41*c_0110_4^9 - 16*c_0110_4^8 - 78*c_0110_4^7 + 45*c_0110_4^6 + 82*c_0110_4^5 - 59*c_0110_4^4 - 52*c_0110_4^3 + 44*c_0110_4^2 + 16*c_0110_4 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB