Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 1157945756] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1814 geometric_solution 5.47436084 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 -1 2 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844069422007 0.255033170072 0 4 0 5 0132 0132 2310 0132 0 0 0 0 0 0 1 -1 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757398985815 0.073044074753 5 3 3 0 0132 3012 2031 0132 0 0 0 0 0 0 -1 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 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 0.736747873150 0.619933382691 2 4 0 2 1230 2310 0132 1302 0 0 0 0 0 1 -2 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 -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 0.736747873150 0.619933382691 5 1 6 3 3120 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.743478492625 0.735704506596 2 6 1 4 0132 3201 0132 3120 0 0 0 0 0 0 1 -1 -1 0 1 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 1 -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 0 0 0.743478492625 0.735704506596 6 6 5 4 1230 3012 2310 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.435112952644 1.414504175962 ==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_2_6' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 7935/1072*c_1001_1^7 + 16463/536*c_1001_1^6 + 8359/268*c_1001_1^5 - 5021/268*c_1001_1^4 - 26015/536*c_1001_1^3 - 4261/134*c_1001_1^2 - 12543/1072*c_1001_1 - 6621/1072, c_0011_0 - 1, c_0011_2 + 3/67*c_1001_1^7 - 64/67*c_1001_1^6 - 203/67*c_1001_1^5 + 34/67*c_1001_1^4 + 405/67*c_1001_1^3 + 124/67*c_1001_1^2 - 147/67*c_1001_1 - 75/67, c_0101_0 - c_1001_1, c_0101_1 + 33/67*c_1001_1^7 + 100/67*c_1001_1^6 + 112/67*c_1001_1^5 - 28/67*c_1001_1^4 - 302/67*c_1001_1^3 - 177/67*c_1001_1^2 + 58/67*c_1001_1 + 46/67, c_0101_2 - 81/67*c_1001_1^7 - 282/67*c_1001_1^6 - 80/67*c_1001_1^5 + 489/67*c_1001_1^4 + 388/67*c_1001_1^3 + 2/67*c_1001_1^2 - 185/67*c_1001_1 - 52/67, c_0101_6 - 141/67*c_1001_1^7 - 409/67*c_1001_1^6 + 27/67*c_1001_1^5 + 814/67*c_1001_1^4 + 395/67*c_1001_1^3 - 267/67*c_1001_1^2 - 193/67*c_1001_1 - 26/67, c_1001_1^8 + 11/3*c_1001_1^7 + 2*c_1001_1^6 - 16/3*c_1001_1^5 - 6*c_1001_1^4 - 2/3*c_1001_1^3 + 5/3*c_1001_1^2 + 2/3*c_1001_1 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB