Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 3751691207] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s729 geometric_solution 5.24564664 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 2310 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 0 0 1 -1 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 0.824945079253 0.541985157492 0 4 3 3 0132 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389832296834 0.444128027983 0 0 5 4 3201 0132 0132 2103 0 0 0 0 0 1 -1 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 0 -1 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 1.016388999325 0.544947768025 1 1 5 0 3012 3201 1302 0132 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 0 1 -1 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 0.389832296834 0.444128027983 5 1 5 2 2031 0132 0213 2103 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 0.170444393369 1.587285575994 3 4 4 2 2031 0213 1302 0132 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 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 0 0 0 0 0.933120423151 0.622824755700 ==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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0110_2']), '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_5'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : 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_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(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_0011_5, c_0101_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 157*c_1001_0^9 - 802/5*c_1001_0^8 + 2513/5*c_1001_0^7 + 4582/5*c_1001_0^6 - 1673/5*c_1001_0^5 - 7324/5*c_1001_0^4 - 2676/5*c_1001_0^3 + 3338/5*c_1001_0^2 + 2862/5*c_1001_0 + 613/5, c_0011_0 - 1, c_0011_3 - 65*c_1001_0^9 - 53*c_1001_0^8 + 215*c_1001_0^7 + 329*c_1001_0^6 - 195*c_1001_0^5 - 540*c_1001_0^4 - 114*c_1001_0^3 + 265*c_1001_0^2 + 171*c_1001_0 + 30, c_0011_5 + 85*c_1001_0^9 + 62*c_1001_0^8 - 288*c_1001_0^7 - 416*c_1001_0^6 + 284*c_1001_0^5 + 705*c_1001_0^4 + 126*c_1001_0^3 - 359*c_1001_0^2 - 224*c_1001_0 - 39, c_0101_1 - c_1001_0, c_0110_2 + 30*c_1001_0^9 + 31*c_1001_0^8 - 101*c_1001_0^7 - 183*c_1001_0^6 + 72*c_1001_0^5 + 304*c_1001_0^4 + 107*c_1001_0^3 - 145*c_1001_0^2 - 120*c_1001_0 - 25, c_1001_0^10 + 6/5*c_1001_0^9 - 3*c_1001_0^8 - 32/5*c_1001_0^7 + c_1001_0^6 + 48/5*c_1001_0^5 + 26/5*c_1001_0^4 - 17/5*c_1001_0^3 - 22/5*c_1001_0^2 - 8/5*c_1001_0 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB