Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 1377029933] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2992 geometric_solution 6.17275652 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431957803675 0.719158813187 3 4 2 0 0132 0132 2031 0132 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 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 0.392563474430 0.595920743994 4 5 0 1 0132 0132 0132 1302 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 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 0.392563474430 0.595920743994 1 5 5 5 0132 1023 1230 1302 1 0 0 0 0 -1 0 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 -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 0.152892336433 0.987672081069 2 1 6 6 0132 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 0 0 0 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193585624326 1.956421396626 3 2 3 3 1023 0132 2031 3012 0 1 0 0 0 1 -1 0 1 0 -1 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 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 0.152892336433 0.987672081069 6 4 6 4 2310 2310 3201 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 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 -0.528554334568 0.478835698620 ==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_6']), 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0101_4']), '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_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 236985/1504*c_0101_4^9 + 852193/1504*c_0101_4^8 - 1001205/752*c_0101_4^7 - 11748687/1504*c_0101_4^6 - 16115843/1504*c_0101_4^5 - 573415/376*c_0101_4^4 + 7791305/752*c_0101_4^3 + 3288199/376*c_0101_4^2 + 4460205/1504*c_0101_4 + 596075/1504, c_0011_0 - 1, c_0011_1 + 901/47*c_0101_4^9 + 3235/47*c_0101_4^8 - 7630/47*c_0101_4^7 - 44618/47*c_0101_4^6 - 61024/47*c_0101_4^5 - 8478/47*c_0101_4^4 + 59101/47*c_0101_4^3 + 49614/47*c_0101_4^2 + 16821/47*c_0101_4 + 2314/47, c_0011_6 + 1249/94*c_0101_4^9 + 4485/94*c_0101_4^8 - 5291/47*c_0101_4^7 - 61885/94*c_0101_4^6 - 84555/94*c_0101_4^5 - 5688/47*c_0101_4^4 + 41168/47*c_0101_4^3 + 34309/47*c_0101_4^2 + 22831/94*c_0101_4 + 3051/94, c_0101_0 + 2543/188*c_0101_4^9 + 9395/188*c_0101_4^8 - 10345/94*c_0101_4^7 - 128525/188*c_0101_4^6 - 184357/188*c_0101_4^5 - 9206/47*c_0101_4^4 + 85071/94*c_0101_4^3 + 39157/47*c_0101_4^2 + 55263/188*c_0101_4 + 7709/188, c_0101_1 + 6147/188*c_0101_4^9 + 22335/188*c_0101_4^8 - 25605/94*c_0101_4^7 - 306997/188*c_0101_4^6 - 428453/188*c_0101_4^5 - 17684/47*c_0101_4^4 + 203273/94*c_0101_4^3 + 88771/47*c_0101_4^2 + 122547/188*c_0101_4 + 16965/188, c_0101_4^10 + 4*c_0101_4^9 - 7*c_0101_4^8 - 53*c_0101_4^7 - 88*c_0101_4^6 - 37*c_0101_4^5 + 62*c_0101_4^4 + 82*c_0101_4^3 + 41*c_0101_4^2 + 10*c_0101_4 + 1, c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB