Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 3120047243] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2752 geometric_solution 5.99199688 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 1 0 -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 1 0 -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 0.251500560736 0.509195434490 0 4 3 2 0132 0132 3012 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -0.111845125975 1.137059948580 5 0 1 0 0132 0132 2031 1023 0 0 0 0 0 -1 0 1 -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 -1 0 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 1.220231935858 1.578741363675 5 1 5 0 2103 1230 2031 0132 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 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 0.387032241050 0.793060341412 5 1 6 6 1023 0132 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 1 -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 0 0 0 0 -0.350248024489 1.302586609894 2 4 3 3 0132 1023 2103 1302 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 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 0.416599847404 0.392840511132 6 4 6 4 2031 2310 1302 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 -1 1 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 -0.354675041472 1.075411252538 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0011_3'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), '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_0101_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 727111/1552*c_0101_2*c_0110_4^5 - 1832195/1552*c_0101_2*c_0110_4^4 - 344443/388*c_0101_2*c_0110_4^3 - 349743/388*c_0101_2*c_0110_4^2 - 438961/776*c_0101_2*c_0110_4 - 99643/388*c_0101_2, c_0011_0 - 1, c_0011_3 + 3003/388*c_0101_0*c_0101_2*c_0110_4^5 + 7511/388*c_0101_0*c_0101_2*c_0110_4^4 + 2781/194*c_0101_0*c_0101_2*c_0110_4^3 + 2695/194*c_0101_0*c_0101_2*c_0110_4^2 + 1599/194*c_0101_0*c_0101_2*c_0110_4 + 290/97*c_0101_0*c_0101_2, c_0011_6 - 55/194*c_0110_4^5 - 247/194*c_0110_4^4 - 52/97*c_0110_4^3 + 75/97*c_0110_4^2 + 40/97*c_0110_4 + 21/97, c_0101_0^2 - 55/388*c_0110_4^5 - 247/388*c_0110_4^4 - 26/97*c_0110_4^3 - 11/97*c_0110_4^2 - 57/194*c_0110_4 - 38/97, c_0101_1 + 1771/388*c_0101_2*c_0110_4^5 + 4539/388*c_0101_2*c_0110_4^4 + 973/97*c_0101_2*c_0110_4^3 + 975/97*c_0101_2*c_0110_4^2 + 1331/194*c_0101_2*c_0110_4 + 370/97*c_0101_2, c_0101_2^2 + 55/388*c_0110_4^5 + 247/388*c_0110_4^4 + 26/97*c_0110_4^3 - 86/97*c_0110_4^2 + 57/194*c_0110_4 + 38/97, c_0110_4^6 + 34/11*c_0110_4^5 + 37/11*c_0110_4^4 + 34/11*c_0110_4^3 + 26/11*c_0110_4^2 + 14/11*c_0110_4 + 4/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB