Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 4300089] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2443 geometric_solution 5.78787645 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 -0.692711931277 0.742182365660 0 0 3 2 0132 3201 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 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 0.605268038042 1.688012120718 4 5 1 3 0132 0132 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812082867249 0.803273142649 5 4 2 1 3201 3201 1230 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812082867249 0.803273142649 2 6 3 6 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859567335954 1.212306442929 5 2 5 3 2031 0132 1302 2310 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577669764780 0.390622034631 6 4 6 4 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579754642501 0.272818874337 ==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' : negation(d['1']), 's_2_3' : negation(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_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], '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_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(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' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 11912016496085237749/98833239363624000*c_0101_3*c_0101_6^12 - 1322097455093408399/790665914908992*c_0101_3*c_0101_6^11 + 82249409612741108821/12354154920453000*c_0101_3*c_0101_6^10 - 372878386737587599899/32944413121208000*c_0101_3*c_0101_6^9 + 332444116771769693507/32944413121208000*c_0101_3*c_0101_6^8 + 24111784042191505333/12354154920453000*c_0101_3*c_0101_6^7 + 545462586692810049853/49416619681812000*c_0101_3*c_0101_6^6 - 737351332684947483473/32944413121208000*c_0101_3*c_0101_6^5 - 174668115433630952743/49416619681812000*c_0101_3*c_0101_6^4 - 3753354967505101961/19766647872724800*c_0101_3*c_0101_6^3 + 317979576546674743151/49416619681812000*c_0101_3*c_0101_6^2 - 95195848739359093747/32944413121208000*c_0101_3*c_0101_6 + 80103238937409311491/98833239363624000*c_0101_3, c_0011_0 - 1, c_0011_2 + 19837668221203/164722065606040*c_0101_3*c_0101_6^12 - 57275517909661/32944413121208*c_0101_3*c_0101_6^11 + 155735397481022/20590258200755*c_0101_3*c_0101_6^10 - 2417632465311279/164722065606040*c_0101_3*c_0101_6^9 + 2499284442751107/164722065606040*c_0101_3*c_0101_6^8 - 45157554580224/20590258200755*c_0101_3*c_0101_6^7 + 764266074052091/82361032803020*c_0101_3*c_0101_6^6 - 4971070568177533/164722065606040*c_0101_3*c_0101_6^5 + 411016328261529/82361032803020*c_0101_3*c_0101_6^4 + 188281387312853/32944413121208*c_0101_3*c_0101_6^3 + 825469784126637/82361032803020*c_0101_3*c_0101_6^2 - 788028826825287/164722065606040*c_0101_3*c_0101_6 + 164889764841897/164722065606040*c_0101_3, c_0101_0 - 1283155087/36322395944*c_0101_6^12 + 18083642113/36322395944*c_0101_6^11 - 9352128406/4540299493*c_0101_6^10 + 135886362211/36322395944*c_0101_6^9 - 127331651595/36322395944*c_0101_6^8 - 3482564716/4540299493*c_0101_6^7 - 26355499655/18161197972*c_0101_6^6 + 191553968337/36322395944*c_0101_6^5 + 377874845/18161197972*c_0101_6^4 - 55864840121/36322395944*c_0101_6^3 - 3821146441/18161197972*c_0101_6^2 + 42163088587/36322395944*c_0101_6 + 8139306959/36322395944, c_0101_1 - 92480201776417/164722065606040*c_0101_3*c_0101_6^12 + 254677514557119/32944413121208*c_0101_3*c_0101_6^11 - 622207974777378/20590258200755*c_0101_3*c_0101_6^10 + 8195261660106341/164722065606040*c_0101_3*c_0101_6^9 - 7022643057496633/164722065606040*c_0101_3*c_0101_6^8 - 242784200953244/20590258200755*c_0101_3*c_0101_6^7 - 4516847990898449/82361032803020*c_0101_3*c_0101_6^6 + 16395505308223207/164722065606040*c_0101_3*c_0101_6^5 + 2128214435407069/82361032803020*c_0101_3*c_0101_6^4 + 192564867606977/32944413121208*c_0101_3*c_0101_6^3 - 2464887351281383/82361032803020*c_0101_3*c_0101_6^2 + 1787244731060653/164722065606040*c_0101_3*c_0101_6 - 395562744350443/164722065606040*c_0101_3, c_0101_3^2 - 382940122855/8236103280302*c_0101_6^12 + 5042386159713/8236103280302*c_0101_6^11 - 8675346430098/4118051640151*c_0101_6^10 + 20185311442553/8236103280302*c_0101_6^9 - 1917250122775/8236103280302*c_0101_6^8 - 21217563502917/4118051640151*c_0101_6^7 - 8364637356253/4118051640151*c_0101_6^6 + 27010924670993/8236103280302*c_0101_6^5 + 33751795217542/4118051640151*c_0101_6^4 + 3456823444009/8236103280302*c_0101_6^3 - 6770917703170/4118051640151*c_0101_6^2 - 7477538858801/8236103280302*c_0101_6 - 1140055574499/8236103280302, c_0101_4 + 1283155087/36322395944*c_0101_6^12 - 18083642113/36322395944*c_0101_6^11 + 9352128406/4540299493*c_0101_6^10 - 135886362211/36322395944*c_0101_6^9 + 127331651595/36322395944*c_0101_6^8 + 3482564716/4540299493*c_0101_6^7 + 26355499655/18161197972*c_0101_6^6 - 191553968337/36322395944*c_0101_6^5 - 377874845/18161197972*c_0101_6^4 + 55864840121/36322395944*c_0101_6^3 + 3821146441/18161197972*c_0101_6^2 - 78485484531/36322395944*c_0101_6 + 28183088985/36322395944, c_0101_6^13 - 14*c_0101_6^12 + 57*c_0101_6^11 - 101*c_0101_6^10 + 96*c_0101_6^9 + 5*c_0101_6^8 + 90*c_0101_6^7 - 197*c_0101_6^6 - 5*c_0101_6^5 + c_0101_6^4 + 53*c_0101_6^3 - 31*c_0101_6^2 + 10*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB