Magma V2.19-8 Tue Aug 20 2013 16:17:15 on localhost [Seed = 3035965546] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1488 geometric_solution 5.30082288 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 -1 1 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 -1 1 0 -1 0 1 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 0.251125650311 0.562589626906 0 3 5 4 0132 0132 0132 0132 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 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 1.260717164822 1.871337852867 4 3 0 3 1230 1230 0132 2310 0 0 0 0 0 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329929334153 1.274382288207 2 1 2 4 3201 0132 3012 1230 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 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 0.550103149932 0.194296903059 3 2 1 5 3012 3012 0132 2310 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 -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 0 0 0 0 -0.066113365939 0.765145958814 4 6 6 1 3201 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139926613141 0.374122766725 6 5 5 6 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.111553339330 1.054786033051 ==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_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_2']), '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_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_2']), '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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 227585972/114124175*c_0101_6^13 - 537998918/114124175*c_0101_6^12 - 278975467/10374925*c_0101_6^11 + 18439873922/114124175*c_0101_6^10 + 71396817951/114124175*c_0101_6^9 - 3290423489/114124175*c_0101_6^8 - 10972338317/4564967*c_0101_6^7 - 298368177152/114124175*c_0101_6^6 + 28099117006/22824835*c_0101_6^5 + 36219499087/10374925*c_0101_6^4 + 173961045774/114124175*c_0101_6^3 - 42598896496/114124175*c_0101_6^2 - 4353484514/10374925*c_0101_6 - 11182314661/114124175, c_0011_0 - 1, c_0011_2 - 3741241/4564967*c_0101_6^13 + 162499/37727*c_0101_6^12 - 2450693/4564967*c_0101_6^11 - 317566563/4564967*c_0101_6^10 - 22610300/414997*c_0101_6^9 + 1106683099/4564967*c_0101_6^8 + 1514583724/4564967*c_0101_6^7 - 665573693/4564967*c_0101_6^6 - 1797419266/4564967*c_0101_6^5 - 483307456/4564967*c_0101_6^4 + 327337315/4564967*c_0101_6^3 + 139716058/4564967*c_0101_6^2 - 4730194/4564967*c_0101_6 - 9913726/4564967, c_0011_4 - 6706027/1619827*c_0101_6^13 + 35055935/1619827*c_0101_6^12 - 3032889/1619827*c_0101_6^11 - 571805985/1619827*c_0101_6^10 - 458067609/1619827*c_0101_6^9 + 181555228/147257*c_0101_6^8 + 2759271660/1619827*c_0101_6^7 - 1199800564/1619827*c_0101_6^6 - 3281358409/1619827*c_0101_6^5 - 900719178/1619827*c_0101_6^4 + 612192132/1619827*c_0101_6^3 + 298509489/1619827*c_0101_6^2 - 15478068/1619827*c_0101_6 - 26551714/1619827, c_0011_5 + 36575248/50214637*c_0101_6^13 - 202950368/50214637*c_0101_6^12 + 87108499/50214637*c_0101_6^11 + 3055345724/50214637*c_0101_6^10 + 1566243209/50214637*c_0101_6^9 - 999994216/4564967*c_0101_6^8 - 11694758828/50214637*c_0101_6^7 + 8842252258/50214637*c_0101_6^6 + 14808967066/50214637*c_0101_6^5 + 1904369567/50214637*c_0101_6^4 - 3268903753/50214637*c_0101_6^3 - 1207740767/50214637*c_0101_6^2 + 123337178/50214637*c_0101_6 + 131167063/50214637, c_0101_0 - 62062450/50214637*c_0101_6^13 + 339554370/50214637*c_0101_6^12 - 117612914/50214637*c_0101_6^11 - 5212228270/50214637*c_0101_6^10 - 3072206758/50214637*c_0101_6^9 + 1707716878/4564967*c_0101_6^8 + 21621393960/50214637*c_0101_6^7 - 14681618900/50214637*c_0101_6^6 - 27910788911/50214637*c_0101_6^5 - 4128302341/50214637*c_0101_6^4 + 7031271105/50214637*c_0101_6^3 + 2385986423/50214637*c_0101_6^2 - 360244792/50214637*c_0101_6 - 254857912/50214637, c_0101_1 - 36432328/50214637*c_0101_6^13 + 186259240/50214637*c_0101_6^12 + 13421164/50214637*c_0101_6^11 - 3160161711/50214637*c_0101_6^10 - 2777989774/50214637*c_0101_6^9 + 1014821717/4564967*c_0101_6^8 + 16025774228/50214637*c_0101_6^7 - 6947330121/50214637*c_0101_6^6 - 19145705006/50214637*c_0101_6^5 - 4667010047/50214637*c_0101_6^4 + 3848588944/50214637*c_0101_6^3 + 1645245616/50214637*c_0101_6^2 - 93835072/50214637*c_0101_6 - 192532265/50214637, c_0101_6^14 - 4*c_0101_6^13 - 6*c_0101_6^12 + 86*c_0101_6^11 + 173*c_0101_6^10 - 217*c_0101_6^9 - 780*c_0101_6^8 - 316*c_0101_6^7 + 725*c_0101_6^6 + 731*c_0101_6^5 + 57*c_0101_6^4 - 163*c_0101_6^3 - 52*c_0101_6^2 + 7*c_0101_6 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB