Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 492601648] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s198 geometric_solution 4.31581592 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143874702457 0.486977527011 0 3 2 2 0132 0132 1230 0132 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 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 0.446690118013 1.266606659585 3 0 1 1 0132 0132 0132 3012 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 -1 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 0 0 0 0 0.446690118013 1.266606659585 2 1 4 4 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 -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 -0.897704337614 0.621331560325 5 3 5 3 0132 2310 2310 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.260096212830 1.437644124784 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.416053897618 0.105112145694 ==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' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : 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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 8157850/21713*c_0101_4^7 + 6391105/21713*c_0101_4^6 - 25221444/21713*c_0101_4^5 + 26335078/21713*c_0101_4^4 - 4677475/21713*c_0101_4^3 + 6490170/21713*c_0101_4^2 - 18657162/21713*c_0101_4 + 4390406/21713, c_0011_0 - 1, c_0011_4 + 165645/21713*c_0101_4^7 + 117498/21713*c_0101_4^6 - 531772/21713*c_0101_4^5 + 560887/21713*c_0101_4^4 - 111347/21713*c_0101_4^3 + 119113/21713*c_0101_4^2 - 380095/21713*c_0101_4 + 112163/21713, c_0101_0 - 134090/21713*c_0101_4^7 - 102036/21713*c_0101_4^6 + 416226/21713*c_0101_4^5 - 448914/21713*c_0101_4^4 + 86700/21713*c_0101_4^3 - 87103/21713*c_0101_4^2 + 287804/21713*c_0101_4 - 77555/21713, c_0101_1 + 147000/21713*c_0101_4^7 + 106160/21713*c_0101_4^6 - 464741/21713*c_0101_4^5 + 491092/21713*c_0101_4^4 - 114984/21713*c_0101_4^3 + 125535/21713*c_0101_4^2 - 368077/21713*c_0101_4 + 111060/21713, c_0101_3 + 81485/21713*c_0101_4^7 + 44194/21713*c_0101_4^6 - 275614/21713*c_0101_4^5 + 317902/21713*c_0101_4^4 - 85380/21713*c_0101_4^3 + 39000/21713*c_0101_4^2 - 195308/21713*c_0101_4 + 72242/21713, c_0101_4^8 + 2/5*c_0101_4^7 - 17/5*c_0101_4^6 + 22/5*c_0101_4^5 - 9/5*c_0101_4^4 + c_0101_4^3 - 13/5*c_0101_4^2 + 7/5*c_0101_4 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB