Magma V2.19-8 Tue Aug 20 2013 16:16:44 on localhost [Seed = 1124261774] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1022 geometric_solution 4.90613530 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 -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 0.716145497806 0.864580553448 0 3 2 4 0132 0132 1230 0132 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 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 1.104762372473 0.852422618564 3 0 4 1 2310 0132 3201 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.104762372473 0.852422618564 3 1 2 3 3201 0132 3201 2310 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 -0.308789328872 0.601759641474 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 1 -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 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 1.266763816482 0.371633911666 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 -1 1 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 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 0.785995939568 0.272798476067 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -1 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 -1 0 1 0 0 -1 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 0.635776365282 0.107079899112 ==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' : negation(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_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], '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_6' : 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_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0011_4'], '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_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 155974908850048412/2688080963891459*c_0101_6^14 + 716887757968778562/2688080963891459*c_0101_6^13 + 2207277092723426175/2688080963891459*c_0101_6^12 + 4031587115699863783/2688080963891459*c_0101_6^11 + 1417445755430585655/2688080963891459*c_0101_6^10 - 7998951922472772876/2688080963891459*c_0101_6^9 - 13903390751258325340/2688080963891459*c_0101_6^8 - 5776299064307599766/2688080963891459*c_0101_6^7 + 6216691872439889857/2688080963891459*c_0101_6^6 + 7897696250519575942/2688080963891459*c_0101_6^5 + 4259647586871018598/2688080963891459*c_0101_6^4 + 1916533636853141584/2688080963891459*c_0101_6^3 - 546140309418152984/2688080963891459*c_0101_6^2 - 1921678040903390943/2688080963891459*c_0101_6 - 997560858455949582/2688080963891459, c_0011_0 - 1, c_0011_4 + 35256059907464/86712289157789*c_0101_6^14 + 119943838375168/86712289157789*c_0101_6^13 + 340962555636716/86712289157789*c_0101_6^12 + 436201951279305/86712289157789*c_0101_6^11 - 428928933030804/86712289157789*c_0101_6^10 - 1758937165998857/86712289157789*c_0101_6^9 - 1429067518499665/86712289157789*c_0101_6^8 + 708022866378755/86712289157789*c_0101_6^7 + 1711220112161077/86712289157789*c_0101_6^6 + 979231048028615/86712289157789*c_0101_6^5 + 393196701925697/86712289157789*c_0101_6^4 - 112973198711183/86712289157789*c_0101_6^3 - 477175421516716/86712289157789*c_0101_6^2 - 352750818362475/86712289157789*c_0101_6 - 73819061526923/86712289157789, c_0101_0 - 12115804782788/86712289157789*c_0101_6^14 - 34106179902278/86712289157789*c_0101_6^13 - 105684428442549/86712289157789*c_0101_6^12 - 115077690496215/86712289157789*c_0101_6^11 + 145515966666069/86712289157789*c_0101_6^10 + 448516021095507/86712289157789*c_0101_6^9 + 407640175125601/86712289157789*c_0101_6^8 - 37964887826799/86712289157789*c_0101_6^7 - 425212869121166/86712289157789*c_0101_6^6 - 610819845326598/86712289157789*c_0101_6^5 - 304337774180460/86712289157789*c_0101_6^4 + 144944409598007/86712289157789*c_0101_6^3 + 221925713927036/86712289157789*c_0101_6^2 + 256818375853205/86712289157789*c_0101_6 + 66978497361400/86712289157789, c_0101_1 - 45014944895728/86712289157789*c_0101_6^14 - 137454255096396/86712289157789*c_0101_6^13 - 424481685339258/86712289157789*c_0101_6^12 - 532027567393061/86712289157789*c_0101_6^11 + 342037195244419/86712289157789*c_0101_6^10 + 1561227757456537/86712289157789*c_0101_6^9 + 1337453529541552/86712289157789*c_0101_6^8 - 155885402200155/86712289157789*c_0101_6^7 - 637727013111837/86712289157789*c_0101_6^6 - 596822095494897/86712289157789*c_0101_6^5 - 621544505285891/86712289157789*c_0101_6^4 - 166746644092920/86712289157789*c_0101_6^3 + 121985081385955/86712289157789*c_0101_6^2 + 154297809364377/86712289157789*c_0101_6 - 22823973290294/86712289157789, c_0101_2 - 308199962876/86712289157789*c_0101_6^14 - 12733074379270/86712289157789*c_0101_6^13 - 48056117725721/86712289157789*c_0101_6^12 - 144729044913150/86712289157789*c_0101_6^11 - 224999461160927/86712289157789*c_0101_6^10 - 8409920382744/86712289157789*c_0101_6^9 + 509178019263421/86712289157789*c_0101_6^8 + 753411804232350/86712289157789*c_0101_6^7 + 245721982413250/86712289157789*c_0101_6^6 - 384096415331685/86712289157789*c_0101_6^5 - 424040024302475/86712289157789*c_0101_6^4 - 103708510886965/86712289157789*c_0101_6^3 - 73547098296195/86712289157789*c_0101_6^2 - 41415804310169/86712289157789*c_0101_6 + 60990000216895/86712289157789, c_0101_5 + 20098052038652/86712289157789*c_0101_6^14 + 57019551880606/86712289157789*c_0101_6^13 + 146356897213017/86712289157789*c_0101_6^12 + 102606769673590/86712289157789*c_0101_6^11 - 493780862996560/86712289157789*c_0101_6^10 - 1040126391378111/86712289157789*c_0101_6^9 - 247656373097967/86712289157789*c_0101_6^8 + 1254567577443632/86712289157789*c_0101_6^7 + 1218765388210442/86712289157789*c_0101_6^6 + 75813064971392/86712289157789*c_0101_6^5 - 270619283077939/86712289157789*c_0101_6^4 - 269836287185605/86712289157789*c_0101_6^3 - 331418865341996/86712289157789*c_0101_6^2 - 183630778196013/86712289157789*c_0101_6 + 52634579643563/86712289157789, c_0101_6^15 + 9/2*c_0101_6^14 + 55/4*c_0101_6^13 + 49/2*c_0101_6^12 + 13/2*c_0101_6^11 - 213/4*c_0101_6^10 - 175/2*c_0101_6^9 - 127/4*c_0101_6^8 + 91/2*c_0101_6^7 + 109/2*c_0101_6^6 + 115/4*c_0101_6^5 + 23/2*c_0101_6^4 - 5*c_0101_6^3 - 27/2*c_0101_6^2 - 7*c_0101_6 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB