Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 2766485666] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s623 geometric_solution 5.10703291 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 -1 0 1 -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 -1 1 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 0.192577053792 2.150272458395 0 3 5 4 0132 3201 0132 0132 0 0 0 0 0 -1 1 0 1 0 0 -1 0 -1 0 1 -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 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341999528515 0.815707864793 2 0 2 0 2031 0132 1302 1023 0 0 0 0 0 1 0 -1 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 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 0.387980279200 0.149082242833 4 5 1 0 1023 0132 2310 0132 0 0 0 0 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 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 0.341999528515 0.815707864793 4 3 1 4 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 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 1 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913557729410 0.777018874524 5 3 5 1 2310 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834463995731 0.816638258736 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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' : d['c_0101_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0110_2'], '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_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0110_2']})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 417/64*c_0110_2^18 + 1753/64*c_0110_2^17 - 3495/64*c_0110_2^16 - 11347/32*c_0110_2^15 + 3871/64*c_0110_2^14 + 14955/8*c_0110_2^13 + 24659/32*c_0110_2^12 - 333667/64*c_0110_2^11 - 226495/64*c_0110_2^10 + 533269/64*c_0110_2^9 + 6790*c_0110_2^8 - 243467/32*c_0110_2^7 - 216433/32*c_0110_2^6 + 116389/32*c_0110_2^5 + 223203/64*c_0110_2^4 - 22829/32*c_0110_2^3 - 13271/16*c_0110_2^2 + 2043/64*c_0110_2 + 2403/32, c_0011_0 - 1, c_0011_3 - 9/8*c_0110_2^18 - 33/8*c_0110_2^17 + 87/8*c_0110_2^16 + 215/4*c_0110_2^15 - 223/8*c_0110_2^14 - 282*c_0110_2^13 - 191/4*c_0110_2^12 + 6107/8*c_0110_2^11 + 3087/8*c_0110_2^10 - 8997/8*c_0110_2^9 - 808*c_0110_2^8 + 3379/4*c_0110_2^7 + 3117/4*c_0110_2^6 - 917/4*c_0110_2^5 - 2611/8*c_0110_2^4 - 119/4*c_0110_2^3 + 67/2*c_0110_2^2 + 45/8*c_0110_2 - 3/4, c_0101_0 + c_0110_2^3 - 2*c_0110_2, c_0101_1 + c_0110_2^2 - 1, c_0101_3 + 9/8*c_0110_2^18 + 41/8*c_0110_2^17 - 63/8*c_0110_2^16 - 263/4*c_0110_2^15 - 105/8*c_0110_2^14 + 337*c_0110_2^13 + 1107/4*c_0110_2^12 - 7027/8*c_0110_2^11 - 8479/8*c_0110_2^10 + 9637/8*c_0110_2^9 + 1925*c_0110_2^8 - 2991/4*c_0110_2^7 - 7189/4*c_0110_2^6 + 61/4*c_0110_2^5 + 6211/8*c_0110_2^4 + 635/4*c_0110_2^3 - 203/2*c_0110_2^2 - 189/8*c_0110_2 + 19/4, c_0110_2^19 + 3*c_0110_2^18 - 13*c_0110_2^17 - 44*c_0110_2^16 + 67*c_0110_2^15 + 270*c_0110_2^14 - 170*c_0110_2^13 - 903*c_0110_2^12 + 195*c_0110_2^11 + 1791*c_0110_2^10 + 18*c_0110_2^9 - 2134*c_0110_2^8 - 318*c_0110_2^7 + 1462*c_0110_2^6 + 359*c_0110_2^5 - 508*c_0110_2^4 - 160*c_0110_2^3 + 67*c_0110_2^2 + 20*c_0110_2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB