Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 3549581026] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2602 geometric_solution 5.88767996 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 0 -1 -1 0 1 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 1.767664575299 0.598113005756 0 2 3 0 0132 0132 0132 3201 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 0 -1 1 1 0 -1 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 0.535954384168 0.640483737206 4 1 5 6 0132 0132 0132 0132 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149957323538 0.686487466289 5 6 4 1 1023 2310 2310 0132 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 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 0.149957323538 0.686487466289 2 3 4 4 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114087803836 1.551883890739 5 3 5 2 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261991483942 1.817438789921 6 6 2 3 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452988653102 0.394475349546 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_2'], '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' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3440290/38377*c_0110_6^6 + 1774654/38377*c_0110_6^5 - 9142011/38377*c_0110_6^4 - 4751844/38377*c_0110_6^3 - 4364085/38377*c_0110_6^2 + 3698738/38377*c_0110_6 + 10114626/38377, c_0011_0 - 1, c_0011_3 - 15040/38377*c_0110_6^6 + 12181/38377*c_0110_6^5 + 50062/38377*c_0110_6^4 - 13883/38377*c_0110_6^3 - 31/38377*c_0110_6^2 - 54075/38377*c_0110_6 - 21788/38377, c_0011_6 + 9720/38377*c_0110_6^6 + 14072/38377*c_0110_6^5 - 12553/38377*c_0110_6^4 - 34406/38377*c_0110_6^3 - 18454/38377*c_0110_6^2 + 551/38377*c_0110_6 + 18572/38377, c_0101_0 + 21515/38377*c_0110_6^6 + 17724/38377*c_0110_6^5 - 56075/38377*c_0110_6^4 - 38688/38377*c_0110_6^3 - 45388/38377*c_0110_6^2 + 21257/38377*c_0110_6 + 53980/38377, c_0101_1 - 24760/38377*c_0110_6^6 - 1891/38377*c_0110_6^5 + 62615/38377*c_0110_6^4 + 20523/38377*c_0110_6^3 + 18423/38377*c_0110_6^2 - 54626/38377*c_0110_6 - 40360/38377, c_0101_2 - 16390/38377*c_0110_6^6 - 11094/38377*c_0110_6^5 + 33683/38377*c_0110_6^4 + 5820/38377*c_0110_6^3 + 38777/38377*c_0110_6^2 + 4480/38377*c_0110_6 - 7311/38377, c_0110_6^7 + 3/5*c_0110_6^6 - 13/5*c_0110_6^5 - 8/5*c_0110_6^4 - 7/5*c_0110_6^3 + c_0110_6^2 + 3*c_0110_6 + 1/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3440290/38377*c_0110_6^6 - 1774654/38377*c_0110_6^5 - 9142011/38377*c_0110_6^4 + 4751844/38377*c_0110_6^3 - 4364085/38377*c_0110_6^2 - 3698738/38377*c_0110_6 + 10114626/38377, c_0011_0 - 1, c_0011_3 + 15040/38377*c_0110_6^6 + 12181/38377*c_0110_6^5 - 50062/38377*c_0110_6^4 - 13883/38377*c_0110_6^3 + 31/38377*c_0110_6^2 - 54075/38377*c_0110_6 + 21788/38377, c_0011_6 - 9720/38377*c_0110_6^6 + 14072/38377*c_0110_6^5 + 12553/38377*c_0110_6^4 - 34406/38377*c_0110_6^3 + 18454/38377*c_0110_6^2 + 551/38377*c_0110_6 - 18572/38377, c_0101_0 - 21515/38377*c_0110_6^6 + 17724/38377*c_0110_6^5 + 56075/38377*c_0110_6^4 - 38688/38377*c_0110_6^3 + 45388/38377*c_0110_6^2 + 21257/38377*c_0110_6 - 53980/38377, c_0101_1 - 24760/38377*c_0110_6^6 + 1891/38377*c_0110_6^5 + 62615/38377*c_0110_6^4 - 20523/38377*c_0110_6^3 + 18423/38377*c_0110_6^2 + 54626/38377*c_0110_6 - 40360/38377, c_0101_2 - 16390/38377*c_0110_6^6 + 11094/38377*c_0110_6^5 + 33683/38377*c_0110_6^4 - 5820/38377*c_0110_6^3 + 38777/38377*c_0110_6^2 - 4480/38377*c_0110_6 - 7311/38377, c_0110_6^7 - 3/5*c_0110_6^6 - 13/5*c_0110_6^5 + 8/5*c_0110_6^4 - 7/5*c_0110_6^3 - c_0110_6^2 + 3*c_0110_6 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB