Magma V2.19-8 Tue Aug 20 2013 16:17:21 on localhost [Seed = 2917937509] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1588 geometric_solution 5.36090452 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 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 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 0.752652675133 0.084824031197 0 2 0 2 0132 0132 1023 1023 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 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 0.612566503034 0.240114550551 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 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 -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 0.918582771510 1.833589357184 2 4 6 5 0132 3201 0132 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020911915447 0.978247538570 5 6 3 2 1023 3201 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 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 0.020911915447 0.978247538570 5 4 3 5 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000400856907 1.044088810548 6 6 4 3 1302 2031 2310 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 1 0 -1 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 0.478432789211 0.499726640690 ==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' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], '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_4'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 84116964296419636/4169017889197595*c_0101_3^14 + 449044974880456996/4169017889197595*c_0101_3^13 - 477745551462255681/4169017889197595*c_0101_3^12 - 536345850552815280/833803577839519*c_0101_3^11 - 407611622956145677/4169017889197595*c_0101_3^10 + 3546365307172140311/4169017889197595*c_0101_3^9 + 1285804839075313952/4169017889197595*c_0101_3^8 - 301693676750466118/595573984171085*c_0101_3^7 + 77725464876529103/4169017889197595*c_0101_3^6 + 208445793602419514/833803577839519*c_0101_3^5 - 83675787849841533/4169017889197595*c_0101_3^4 - 419127602021977636/4169017889197595*c_0101_3^3 + 6418652931449583/833803577839519*c_0101_3^2 - 4239982897713211/833803577839519*c_0101_3 - 19132159848870606/595573984171085, c_0011_0 - 1, c_0011_4 + 5069657755476/119114796834217*c_0011_6*c_0101_3^14 + 45427862031512/119114796834217*c_0011_6*c_0101_3^13 + 57696784209995/119114796834217*c_0011_6*c_0101_3^12 - 327822909158329/119114796834217*c_0011_6*c_0101_3^11 - 540103379992469/119114796834217*c_0011_6*c_0101_3^10 + 522929959802222/119114796834217*c_0011_6*c_0101_3^9 + 876444649014100/119114796834217*c_0011_6*c_0101_3^8 - 480470619248665/119114796834217*c_0011_6*c_0101_3^7 - 649170498100423/119114796834217*c_0011_6*c_0101_3^6 + 533757966568096/119114796834217*c_0011_6*c_0101_3^5 + 297684797800400/119114796834217*c_0011_6*c_0101_3^4 - 360652004796798/119114796834217*c_0011_6*c_0101_3^3 - 146366350094402/119114796834217*c_0011_6*c_0101_3^2 - 6513711618765/119114796834217*c_0011_6*c_0101_3 + 9286961519992/119114796834217*c_0011_6, c_0011_6^2 + 6918354822416/119114796834217*c_0101_3^14 + 44801812921796/119114796834217*c_0101_3^13 + 320607080884/119114796834217*c_0101_3^12 - 273439758227225/119114796834217*c_0101_3^11 - 252307877798101/119114796834217*c_0101_3^10 + 272947929133886/119114796834217*c_0101_3^9 + 344125726545032/119114796834217*c_0101_3^8 - 3668659594309/119114796834217*c_0101_3^7 - 56168653959652/119114796834217*c_0101_3^6 + 23527638589729/119114796834217*c_0101_3^5 - 53735001833912/119114796834217*c_0101_3^4 + 72219361066027/119114796834217*c_0101_3^3 - 56707220688917/119114796834217*c_0101_3^2 - 55210286069225/119114796834217*c_0101_3 - 45677332928226/119114796834217, c_0101_0 - 90984312275012/119114796834217*c_0101_3^14 - 492269738135500/119114796834217*c_0101_3^13 + 499863292891481/119114796834217*c_0101_3^12 + 3052044265713130/119114796834217*c_0101_3^11 + 653276451418490/119114796834217*c_0101_3^10 - 4399001286550453/119114796834217*c_0101_3^9 - 2356598873320614/119114796834217*c_0101_3^8 + 2440988628947896/119114796834217*c_0101_3^7 + 848509928899720/119114796834217*c_0101_3^6 - 1057591146723976/119114796834217*c_0101_3^5 - 135640909414535/119114796834217*c_0101_3^4 + 747605062702772/119114796834217*c_0101_3^3 + 237565893877405/119114796834217*c_0101_3^2 - 120033653034293/119114796834217*c_0101_3 + 156641992211908/119114796834217, c_0101_1 - 215175272547488/119114796834217*c_0101_3^14 - 1161796172212972/119114796834217*c_0101_3^13 + 1140966321101772/119114796834217*c_0101_3^12 + 6885057644975207/119114796834217*c_0101_3^11 + 1588986873041164/119114796834217*c_0101_3^10 - 8646393031227175/119114796834217*c_0101_3^9 - 4177606209834822/119114796834217*c_0101_3^8 + 4350729703072809/119114796834217*c_0101_3^7 + 282007197066492/119114796834217*c_0101_3^6 - 2006545483485280/119114796834217*c_0101_3^5 + 168870829825672/119114796834217*c_0101_3^4 + 1149833840598690/119114796834217*c_0101_3^3 + 40483836133308/119114796834217*c_0101_3^2 - 36559245531995/119114796834217*c_0101_3 + 408952822687159/119114796834217, c_0101_2 + 5069657755476/119114796834217*c_0101_3^14 + 45427862031512/119114796834217*c_0101_3^13 + 57696784209995/119114796834217*c_0101_3^12 - 327822909158329/119114796834217*c_0101_3^11 - 540103379992469/119114796834217*c_0101_3^10 + 522929959802222/119114796834217*c_0101_3^9 + 876444649014100/119114796834217*c_0101_3^8 - 480470619248665/119114796834217*c_0101_3^7 - 649170498100423/119114796834217*c_0101_3^6 + 533757966568096/119114796834217*c_0101_3^5 + 297684797800400/119114796834217*c_0101_3^4 - 360652004796798/119114796834217*c_0101_3^3 - 146366350094402/119114796834217*c_0101_3^2 + 112601085215452/119114796834217*c_0101_3 + 9286961519992/119114796834217, c_0101_3^15 + 6*c_0101_3^14 - 9/4*c_0101_3^13 - 145/4*c_0101_3^12 - 103/4*c_0101_3^11 + 169/4*c_0101_3^10 + 183/4*c_0101_3^9 - 69/4*c_0101_3^8 - 73/4*c_0101_3^7 + 55/4*c_0101_3^6 + 7*c_0101_3^5 - 29/4*c_0101_3^4 - 15/4*c_0101_3^3 - 2*c_0101_3 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB