Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 442205993] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2827 geometric_solution 6.04986481 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736552528228 0.556836640608 0 3 5 4 0132 0321 0132 0132 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 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 0.660808958653 1.072286384982 0 0 2 2 2310 0132 1230 3012 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.633733222240 0.515297326569 5 6 0 1 1023 0132 0132 0321 0 0 0 0 0 1 -1 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 -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 0.660808958653 1.072286384982 6 5 1 6 3012 3201 0132 1230 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265974005565 0.528617374349 6 3 4 1 2310 1023 2310 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 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 -0.106386162180 1.479387387485 4 3 5 4 3012 0132 3201 1230 0 0 0 0 0 -1 0 1 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 1 0 -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 0.265974005565 0.528617374349 ==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_3']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_3'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], '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_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_5']), '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_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 2*c_0101_5 + 3, c_0011_0 - 1, c_0011_3 - 1, c_0011_4 + 1, c_0101_0 - c_0101_5, c_0101_1 + c_0101_5, c_0101_2 - 1, c_0101_5^2 - 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_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 38581007/56773465*c_0101_5^12 + 97511983/56773465*c_0101_5^11 + 11086812/56773465*c_0101_5^10 + 12042258/56773465*c_0101_5^9 - 164107977/56773465*c_0101_5^8 + 38377157/8110495*c_0101_5^7 - 690216312/56773465*c_0101_5^6 + 52810216/56773465*c_0101_5^5 - 61187509/11354693*c_0101_5^4 + 31434913/56773465*c_0101_5^3 + 264738848/56773465*c_0101_5^2 - 235953224/56773465*c_0101_5 + 376867588/56773465, c_0011_0 - 1, c_0011_3 + 64824/8110495*c_0101_5^12 - 1432801/8110495*c_0101_5^11 - 6124193/8110495*c_0101_5^10 - 1588124/1622099*c_0101_5^9 - 9751649/8110495*c_0101_5^8 - 1000205/1622099*c_0101_5^7 - 18149769/8110495*c_0101_5^6 + 4858434/8110495*c_0101_5^5 + 4886048/8110495*c_0101_5^4 + 10490932/8110495*c_0101_5^3 + 3041608/1622099*c_0101_5^2 + 11661717/8110495*c_0101_5 + 601154/1622099, c_0011_4 - 64824/8110495*c_0101_5^12 + 1432801/8110495*c_0101_5^11 + 6124193/8110495*c_0101_5^10 + 1588124/1622099*c_0101_5^9 + 9751649/8110495*c_0101_5^8 + 1000205/1622099*c_0101_5^7 + 18149769/8110495*c_0101_5^6 - 4858434/8110495*c_0101_5^5 - 4886048/8110495*c_0101_5^4 - 10490932/8110495*c_0101_5^3 - 3041608/1622099*c_0101_5^2 - 11661717/8110495*c_0101_5 - 601154/1622099, c_0101_0 + 1401104/8110495*c_0101_5^12 + 6702294/8110495*c_0101_5^11 + 12145422/8110495*c_0101_5^10 + 3250660/1622099*c_0101_5^9 + 16372056/8110495*c_0101_5^8 + 4529963/1622099*c_0101_5^7 + 12074111/8110495*c_0101_5^6 - 8491841/8110495*c_0101_5^5 - 4317687/8110495*c_0101_5^4 - 21540758/8110495*c_0101_5^3 - 4365562/1622099*c_0101_5^2 - 8801058/8110495*c_0101_5 - 359615/1622099, c_0101_1 - 241539/8110495*c_0101_5^12 - 2432084/8110495*c_0101_5^11 - 6718727/8110495*c_0101_5^10 - 1639016/1622099*c_0101_5^9 - 10486531/8110495*c_0101_5^8 - 2145314/1622099*c_0101_5^7 - 18614946/8110495*c_0101_5^6 + 5351041/8110495*c_0101_5^5 + 3633407/8110495*c_0101_5^4 + 2088568/8110495*c_0101_5^3 + 2741351/1622099*c_0101_5^2 + 8310543/8110495*c_0101_5 - 282285/1622099, c_0101_2 + 1491429/8110495*c_0101_5^12 + 6684049/8110495*c_0101_5^11 + 11639837/8110495*c_0101_5^10 + 3230513/1622099*c_0101_5^9 + 15313176/8110495*c_0101_5^8 + 4862159/1622099*c_0101_5^7 + 6960456/8110495*c_0101_5^6 - 4335321/8110495*c_0101_5^5 - 12158062/8110495*c_0101_5^4 - 19276733/8110495*c_0101_5^3 - 5225132/1622099*c_0101_5^2 - 8831678/8110495*c_0101_5 + 96123/1622099, c_0101_5^13 + 4*c_0101_5^12 + 6*c_0101_5^11 + 9*c_0101_5^10 + 9*c_0101_5^9 + 17*c_0101_5^8 + 4*c_0101_5^7 + 3*c_0101_5^6 - 11*c_0101_5^4 - 11*c_0101_5^3 - 7*c_0101_5^2 - 6*c_0101_5 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB