Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 3187417490] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s181 geometric_solution 4.27820728 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 3201 0132 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 1 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 0.098431792830 0.357103701466 0 4 4 3 0132 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.415348519753 0.807231960943 0 0 5 5 2310 0132 3201 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 1 -1 0 0 0 0 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 3.040537020815 3.900324587755 4 1 0 4 3201 0321 0132 2310 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 -1 0 1 -1 0 1 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 0.415348519753 0.807231960943 3 1 1 3 3201 0132 1023 2310 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 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 1.496020563779 0.979486597949 2 5 2 5 2310 1302 0132 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.468652377804 0.288089201075 ==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' : 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_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_0011_5, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 14223/2048*c_0101_4^9 + 5117/1024*c_0101_4^8 - 57087/2048*c_0101_4^7 + 28619/2048*c_0101_4^6 - 16379/2048*c_0101_4^5 + 75921/1024*c_0101_4^4 + 18509/256*c_0101_4^3 + 1291/64*c_0101_4^2 - 4707/128*c_0101_4 - 5171/64, c_0011_0 - 1, c_0011_3 + 11/4096*c_0101_4^9 - 19/4096*c_0101_4^8 + 37/2048*c_0101_4^7 - 127/4096*c_0101_4^6 + 61/1024*c_0101_4^5 - 149/1024*c_0101_4^4 + 15/64*c_0101_4^3 - 129/256*c_0101_4^2 + 1/64*c_0101_4 + 1/64, c_0011_5 + 2343/4096*c_0101_4^9 - 1407/4096*c_0101_4^8 + 4457/2048*c_0101_4^7 - 3931/4096*c_0101_4^6 + 389/1024*c_0101_4^5 - 6509/1024*c_0101_4^4 - 429/64*c_0101_4^3 - 365/256*c_0101_4^2 + 241/64*c_0101_4 + 529/64, c_0101_1 - 11/4096*c_0101_2*c_0101_4^9 - 509/4096*c_0101_2*c_0101_4^8 + 155/2048*c_0101_2*c_0101_4^7 - 1105/4096*c_0101_2*c_0101_4^6 - 209/1024*c_0101_2*c_0101_4^5 + 713/1024*c_0101_2*c_0101_4^4 + 41/64*c_0101_2*c_0101_4^3 + 9/256*c_0101_2*c_0101_4^2 - 45/64*c_0101_2*c_0101_4 - 45/64*c_0101_2, c_0101_2^2 - 1111/2048*c_0101_4^9 + 621/2048*c_0101_4^8 - 1033/512*c_0101_4^7 + 1579/2048*c_0101_4^6 - 157/1024*c_0101_4^5 + 749/128*c_0101_4^4 + 833/128*c_0101_4^3 + 175/128*c_0101_4^2 - 229/64*c_0101_4 - 129/16, c_0101_4^10 + 3/11*c_0101_4^9 + 36/11*c_0101_4^8 + 21/11*c_0101_4^7 - 10/11*c_0101_4^6 - 108/11*c_0101_4^5 - 232/11*c_0101_4^4 - 144/11*c_0101_4^3 + 32/11*c_0101_4^2 + 192/11*c_0101_4 + 128/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB