Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 543276102] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s739 geometric_solution 5.25865863 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 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 -1 0 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 0.339648423786 0.534088085519 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595585657176 0.987965999968 3 0 4 1 3201 0132 0132 3012 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 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 0.595585657176 0.987965999968 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 -1 0 1 -1 0 1 0 -1 1 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 -1 0 1 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.043921707705 1.088704113244 5 5 1 2 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0.016758322805 1.323419567211 4 5 4 5 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.618516157314 0.610733539466 ==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_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_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_5' : d['c_0011_4'], 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 2210480261348540337306/319630136933415241*c_0110_2^18 + 84779458034575090743/319630136933415241*c_0110_2^17 - 123715760975863384209/319630136933415241*c_0110_2^16 - 536882958852879129046/319630136933415241*c_0110_2^15 + 2565607785412384866131/319630136933415241*c_0110_2^14 + 291082181216932149394/319630136933415241*c_0110_2^13 + 9774342072023414756331/319630136933415241*c_0110_2^12 + 1101198824363362459135/319630136933415241*c_0110_2^11 - 4709293796590986641903/319630136933415241*c_0110_2^10 + 14587233380322351040511/319630136933415241*c_0110_2^9 + 10000786354786803552502/319630136933415241*c_0110_2^8 + 589592222655517046600/319630136933415241*c_0110_2^7 + 2404749333435919475852/319630136933415241*c_0110_2^6 - 126103990048601938345/319630136933415241*c_0110_2^5 - 2844425732314549290232/319630136933415241*c_0110_2^4 - 2153854185697610681148/319630136933415241*c_0110_2^3 - 147284154476761261491/319630136933415241*c_0110_2^2 + 504730894039537633419/319630136933415241*c_0110_2 + 140885753669319611763/319630136933415241, c_0011_0 - 1, c_0011_4 - 580542066148923400122/319630136933415241*c_0110_2^18 + 37066507251707548062/319630136933415241*c_0110_2^17 - 47388502207035620211/319630136933415241*c_0110_2^16 - 129753275964283646858/319630136933415241*c_0110_2^15 + 668276977991604731672/319630136933415241*c_0110_2^14 + 62857787521632792805/319630136933415241*c_0110_2^13 + 2578145484220123264802/319630136933415241*c_0110_2^12 + 217006965295672121158/319630136933415241*c_0110_2^11 - 1175423518292693227177/319630136933415241*c_0110_2^10 + 3822000122421318983043/319630136933415241*c_0110_2^9 + 2532105265450220489832/319630136933415241*c_0110_2^8 + 177279161400572382119/319630136933415241*c_0110_2^7 + 632989289407571919710/319630136933415241*c_0110_2^6 - 42110079295974817767/319630136933415241*c_0110_2^5 - 734345056855296670360/319630136933415241*c_0110_2^4 - 552856443039533991455/319630136933415241*c_0110_2^3 - 35881411921781898164/319630136933415241*c_0110_2^2 + 128720075103292205472/319630136933415241*c_0110_2 + 35853664403868758096/319630136933415241, c_0101_0 + 219097095440820049980/319630136933415241*c_0110_2^18 - 7624546053775553016/319630136933415241*c_0110_2^17 + 11961640109129820405/319630136933415241*c_0110_2^16 + 53595742762047728674/319630136933415241*c_0110_2^15 - 254625403042217046548/319630136933415241*c_0110_2^14 - 29314343131295652936/319630136933415241*c_0110_2^13 - 968908515019723695183/319630136933415241*c_0110_2^12 - 112649324656685125172/319630136933415241*c_0110_2^11 + 467979441938732879287/319630136933415241*c_0110_2^10 - 1445923274352148388581/319630136933415241*c_0110_2^9 - 994588665051343379882/319630136933415241*c_0110_2^8 - 61750708603047501459/319630136933415241*c_0110_2^7 - 238925789201957613731/319630136933415241*c_0110_2^6 + 12801563603250023748/319630136933415241*c_0110_2^5 + 281495495875969444158/319630136933415241*c_0110_2^4 + 214686389217618673294/319630136933415241*c_0110_2^3 + 14412646384081245333/319630136933415241*c_0110_2^2 - 50245723783378113011/319630136933415241*c_0110_2 - 14168100480118237497/319630136933415241, c_0101_1 + 175468131808289367273/319630136933415241*c_0110_2^18 - 24000712278025926555/319630136933415241*c_0110_2^17 + 23983574693772795396/319630136933415241*c_0110_2^16 + 32961622401574898680/319630136933415241*c_0110_2^15 - 200304911358510791870/319630136933415241*c_0110_2^14 - 4951048937883054079/319630136933415241*c_0110_2^13 - 787096462104118067994/319630136933415241*c_0110_2^12 - 4828179252835043775/319630136933415241*c_0110_2^11 + 317715688162369039829/319630136933415241*c_0110_2^10 - 1162137304710108028444/319630136933415241*c_0110_2^9 - 678315817529424574602/319630136933415241*c_0110_2^8 - 56847066206236821653/319630136933415241*c_0110_2^7 - 194962024848271084200/319630136933415241*c_0110_2^6 + 21105691863145578649/319630136933415241*c_0110_2^5 + 210906603889796419492/319630136933415241*c_0110_2^4 + 154637127486871676340/319630136933415241*c_0110_2^3 + 5567649759765075426/319630136933415241*c_0110_2^2 - 35535469848780743248/319630136933415241*c_0110_2 - 9012088347229091278/319630136933415241, c_0101_2 - 181256247979347960/2145168704251109*c_0110_2^18 + 109630011022580160/2145168704251109*c_0110_2^17 - 66470951082551544/2145168704251109*c_0110_2^16 + 2554431672528291/2145168704251109*c_0110_2^15 + 207304813465247969/2145168704251109*c_0110_2^14 - 85639879636121419/2145168704251109*c_0110_2^13 + 842044407519557595/2145168704251109*c_0110_2^12 - 394682220830246375/2145168704251109*c_0110_2^11 - 188368627007121822/2145168704251109*c_0110_2^10 + 1254391599350076752/2145168704251109*c_0110_2^9 + 126086560109215887/2145168704251109*c_0110_2^8 - 69860498011797967/2145168704251109*c_0110_2^7 + 159268503134881716/2145168704251109*c_0110_2^6 - 134760901786558420/2145168704251109*c_0110_2^5 - 195733904141298855/2145168704251109*c_0110_2^4 - 83072903301575808/2145168704251109*c_0110_2^3 + 37448307763272186/2145168704251109*c_0110_2^2 + 29460212381160004/2145168704251109*c_0110_2 + 1542295956994882/2145168704251109, c_0110_2^19 - 2/3*c_0110_2^18 + 1/9*c_0110_2^17 + 5/27*c_0110_2^16 - 35/27*c_0110_2^15 + 16/27*c_0110_2^14 - 118/27*c_0110_2^13 + 62/27*c_0110_2^12 + 62/27*c_0110_2^11 - 212/27*c_0110_2^10 - 10/27*c_0110_2^9 + 64/27*c_0110_2^8 - 25/27*c_0110_2^7 + 20/27*c_0110_2^6 + 11/9*c_0110_2^5 + 5/27*c_0110_2^4 - 14/27*c_0110_2^3 - 7/27*c_0110_2^2 + 2/27*c_0110_2 + 1/27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB