Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 2084429992] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1243 geometric_solution 5.14020656 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308446151693 0.325948766753 0 1 0 1 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533921006387 0.055028246014 4 0 5 3 0132 0132 0132 1230 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 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 1.145259139297 1.758519628375 2 5 0 4 3012 0213 0132 3201 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 1 0 -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 -1.597351882132 2.353214065142 2 3 6 6 0132 2310 0132 0321 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 1 -1 0 -1 0 0 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 0.524247537407 1.249773462940 6 6 3 2 0132 0213 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524247537407 1.249773462940 5 4 5 4 0132 0321 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 1 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 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714581701117 0.680419439919 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : negation(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_1001_2'], 'c_1100_5' : d['c_0110_3'], 'c_1100_4' : d['c_1001_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_3'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], '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_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0110_3']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0110_3']), 'c_1010_3' : d['c_0110_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0110_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 4774790091182325/858883584176752*c_1001_2^11 + 47917923956528665/858883584176752*c_1001_2^10 - 35211556750870069/214720896044188*c_1001_2^9 - 27599036251772213/429441792088376*c_1001_2^8 + 198023869619465663/858883584176752*c_1001_2^7 + 966043052632553697/858883584176752*c_1001_2^6 + 97009363569392657/214720896044188*c_1001_2^5 + 105749788789383855/429441792088376*c_1001_2^4 + 301850347212612027/858883584176752*c_1001_2^3 + 3541003996473143/53680224011047*c_1001_2^2 + 3076496927576347/53680224011047*c_1001_2 - 903101049707567/858883584176752, c_0011_0 - 1, c_0011_3 - 98780980537/455399567432*c_1001_2^11 + 1023548342669/455399567432*c_1001_2^10 - 803404016509/113849891858*c_1001_2^9 - 215648493801/227699783716*c_1001_2^8 + 5198185286555/455399567432*c_1001_2^7 + 18811332011173/455399567432*c_1001_2^6 + 141578364919/113849891858*c_1001_2^5 - 1501896396717/227699783716*c_1001_2^4 + 3594578097671/455399567432*c_1001_2^3 - 236882090846/56924945929*c_1001_2^2 - 41815505030/56924945929*c_1001_2 - 217011906507/455399567432, c_0011_5 - 23879903769/910799134864*c_1001_2^11 + 263952071133/910799134864*c_1001_2^10 - 238603902109/227699783716*c_1001_2^9 + 251554725967/455399567432*c_1001_2^8 + 1087522423995/910799134864*c_1001_2^7 + 3720187615573/910799134864*c_1001_2^6 - 631221146647/227699783716*c_1001_2^5 + 143865066795/455399567432*c_1001_2^4 + 653488107879/910799134864*c_1001_2^3 - 167979275500/56924945929*c_1001_2^2 + 9117721655/56924945929*c_1001_2 + 9953705157/910799134864, c_0101_0 - 116022431009/910799134864*c_1001_2^11 + 1150270604933/910799134864*c_1001_2^10 - 822248337865/227699783716*c_1001_2^9 - 824509706273/455399567432*c_1001_2^8 + 4127241914771/910799134864*c_1001_2^7 + 24851646971853/910799134864*c_1001_2^6 + 3191961865021/227699783716*c_1001_2^5 + 3317374450883/455399567432*c_1001_2^4 + 3339381225679/910799134864*c_1001_2^3 + 84723365083/56924945929*c_1001_2^2 + 43953539604/56924945929*c_1001_2 - 1214137431299/910799134864, c_0101_1 + 140224368387/910799134864*c_1001_2^11 - 1361754350431/910799134864*c_1001_2^10 + 918180830699/227699783716*c_1001_2^9 + 1504633647499/455399567432*c_1001_2^8 - 5250633864521/910799134864*c_1001_2^7 - 31045901015959/910799134864*c_1001_2^6 - 5188829425303/227699783716*c_1001_2^5 - 3627595464969/455399567432*c_1001_2^4 - 4823317577021/910799134864*c_1001_2^3 - 122978993804/56924945929*c_1001_2^2 - 91819039180/56924945929*c_1001_2 + 744775353577/910799134864, c_0110_3 - 117576926293/910799134864*c_1001_2^11 + 1218016396361/910799134864*c_1001_2^10 - 960728294441/227699783716*c_1001_2^9 - 163825312941/455399567432*c_1001_2^8 + 5714407256207/910799134864*c_1001_2^7 + 21726278712433/910799134864*c_1001_2^6 + 371461836981/227699783716*c_1001_2^5 + 672119735855/455399567432*c_1001_2^4 + 8875526421019/910799134864*c_1001_2^3 - 52826659664/56924945929*c_1001_2^2 + 31912888355/56924945929*c_1001_2 - 106629589039/910799134864, c_1001_2^12 - 10*c_1001_2^11 + 29*c_1001_2^10 + 14*c_1001_2^9 - 45*c_1001_2^8 - 206*c_1001_2^7 - 83*c_1001_2^6 - 18*c_1001_2^5 - 49*c_1001_2^4 - 5*c_1001_2^3 + 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB