Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 223121529] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2912 geometric_solution 6.11468437 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750103496153 1.573166996312 0 5 5 6 0132 0132 1023 0132 0 0 0 0 0 0 -1 1 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 -1 1 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 0.368220730444 0.316579334072 6 0 2 2 3201 0132 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 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 0.142377749113 0.574575873393 6 3 3 0 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228543355868 0.462484420912 4 6 0 4 3201 0132 0132 2310 0 0 0 0 0 -1 0 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 0 0 0 0 -1 1 0 1 0 0 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687983364607 0.873934076277 5 1 1 5 3201 0132 1023 2310 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 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 1.230298683868 0.919161247393 3 4 1 2 0132 0132 0132 2310 0 0 0 0 0 1 -1 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 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750103496153 1.573166996312 ==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_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_0'], '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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0110_2']), '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_0110_2'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1757626469490948/814234328875*c_0110_2^11 + 1139861567128642/814234328875*c_0110_2^10 + 4005553611749028/814234328875*c_0110_2^9 + 267423438035263/162846865775*c_0110_2^8 + 7305903689734977/814234328875*c_0110_2^7 + 1522742650607283/814234328875*c_0110_2^6 + 9100155592296322/814234328875*c_0110_2^5 - 118379726519982/7609666625*c_0110_2^4 - 6917977441487459/814234328875*c_0110_2^3 - 12733343894290741/814234328875*c_0110_2^2 - 8423274954928311/814234328875*c_0110_2 - 1246549034778516/814234328875, c_0011_0 - 1, c_0011_3 - 28622556928/19859373875*c_0110_2^11 + 36153564182/19859373875*c_0110_2^10 + 50562694758/19859373875*c_0110_2^9 - 3237356361/3971874775*c_0110_2^8 + 110697348867/19859373875*c_0110_2^7 - 43500807087/19859373875*c_0110_2^6 + 154766765222/19859373875*c_0110_2^5 - 2786750057/185601625*c_0110_2^4 + 33260728271/19859373875*c_0110_2^\ 3 - 165825788961/19859373875*c_0110_2^2 - 20992734346/19859373875*c_0110_2 + 15684411339/19859373875, c_0101_0 + 58181232193/99296869375*c_0110_2^11 - 54556581957/99296869375*c_0110_2^10 - 142852596323/99296869375*c_0110_2^9 - 147762951/19859373875*c_0110_2^8 - 153996485567/99296869375*c_0110_2^7 + 55423300297/99296869375*c_0110_2^6 - 251328760942/99296869375*c_0110_2^5 + 4674632727/928008125*c_0110_2^4 + 166008956859/99296869375*c_0110_2\ ^3 + 183882681636/99296869375*c_0110_2^2 - 94588922074/99296869375*c_0110_2 - 94772679689/99296869375, c_0101_1 - 116917811766/99296869375*c_0110_2^11 + 136881475009/99296869375*c_0110_2^10 + 195186811826/99296869375*c_0110_2^9 - 2471404233/19859373875*c_0110_2^8 + 509200029204/99296869375*c_0110_2^7 - 176564529489/99296869375*c_0110_2^6 + 642751070004/99296869375*c_0110_2^5 - 11211024549/928008125*c_0110_2^4 + 132579977317/99296869375*c_0110_2^3 - 941010674957/99296869375*c_0110_2^2 - 149323283512/99296869375*c_0110_2 + 84238671318/99296869375, c_0101_2 + 116597733/185601625*c_0110_2^11 - 73067417/185601625*c_0110_2^10 - 292195763/185601625*c_0110_2^9 - 13654406/37120325*c_0110_2^8 - 432079827/185601625*c_0110_2^7 - 95780668/185601625*c_0110_2^6 - 528845577/185601625*c_0110_2^5 + 736828709/185601625*c_0110_2^4 + 558412629/185601625*c_0110_2^3 + 628702716/185601625*c_0110_2^2 + 465449331/185601625*c_0110_2 - 120637359/185601625, c_0101_5 + 57080789507/99296869375*c_0110_2^11 - 63929113993/99296869375*c_0110_2^10 - 97350974502/99296869375*c_0110_2^9 + 852829056/19859373875*c_0110_2^8 - 237117585008/99296869375*c_0110_2^7 + 39690143628/99296869375*c_0110_2^6 - 350521900958/99296869375*c_0110_2^5 + 5453240923/928008125*c_0110_2^4 - 89975992659/99296869375*c_0110_2^\ 3 + 464880757464/99296869375*c_0110_2^2 + 61047883724/99296869375*c_0110_2 + 60675737289/99296869375, c_0110_2^12 - 6/7*c_0110_2^11 - 15/7*c_0110_2^10 - 2/7*c_0110_2^9 - 4*c_0110_2^8 - 5*c_0110_2^6 + 58/7*c_0110_2^5 + 17/7*c_0110_2^4 + 45/7*c_0110_2^3 + 23/7*c_0110_2^2 - 2/7*c_0110_2 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB