Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 2867541621] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1441 geometric_solution 5.26552585 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.538043369224 0.365066177110 0 0 4 3 0132 2310 0132 0132 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308294493572 0.421842382780 2 0 0 2 3201 0132 1023 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 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 2.110754646261 0.268049024430 4 5 1 4 1230 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738870785959 0.669741460745 6 3 3 1 0132 3012 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738870785959 0.669741460745 6 3 6 6 1023 0132 2031 3012 0 1 0 0 0 0 1 -1 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 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 0.505337611852 1.296084590052 4 5 5 5 0132 1023 1230 1302 1 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505337611852 1.296084590052 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_4' : negation(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' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : 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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(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' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 5*c_0101_4^2 + 13*c_0101_4 - 4, c_0011_0 - 1, c_0011_3 - c_0101_4 - 1, c_0101_0 - c_0101_4^2 + c_0101_4 + 1, c_0101_1 + 1, c_0101_2 + c_0101_4, c_0101_4^3 - 2*c_0101_4^2 - c_0101_4 + 1, c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 16041/287*c_0101_4^5 - 11530/287*c_0101_4^4 - 211654/287*c_0101_4^3 + 36762/287*c_0101_4^2 + 249367/287*c_0101_4 - 59468/287, c_0011_0 - 1, c_0011_3 + 39/41*c_0101_4^5 - 31/41*c_0101_4^4 - 506/41*c_0101_4^3 + 126/41*c_0101_4^2 + 532/41*c_0101_4 - 144/41, c_0101_0 + 8/41*c_0101_4^5 + 1/41*c_0101_4^4 - 108/41*c_0101_4^3 - 53/41*c_0101_4^2 + 127/41*c_0101_4 + 2/41, c_0101_1 - 39/41*c_0101_4^5 + 31/41*c_0101_4^4 + 506/41*c_0101_4^3 - 126/41*c_0101_4^2 - 573/41*c_0101_4 + 144/41, c_0101_2 + 77/41*c_0101_4^5 - 57/41*c_0101_4^4 - 1019/41*c_0101_4^3 + 192/41*c_0101_4^2 + 1207/41*c_0101_4 - 319/41, c_0101_4^6 - c_0101_4^5 - 13*c_0101_4^4 + 6*c_0101_4^3 + 15*c_0101_4^2 - 8*c_0101_4 + 1, c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB