Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 88381891] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0297 geometric_solution 4.33986019 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 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 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 -0.401870565415 0.484786193699 0 0 4 3 0132 2310 0132 0132 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 0 -1 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 0.376360970143 1.002278059282 0 0 4 4 2310 0132 0321 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 -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 2.013499931402 1.222609507496 5 4 1 5 0132 3120 0132 1023 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 1 -1 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 1.030549867025 0.383588712915 2 3 2 1 3012 3120 0321 0132 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 -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 0.671647136840 0.874428797234 3 6 6 3 0132 0132 1023 1023 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 1 -1 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 1.276476095400 0.209088202625 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 1 -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 0 0 0 0 1.502518420580 0.124343556955 ==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' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_3'], '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_0101_6'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_3']})} 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_4, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1145865951771571/7352718001293280*c_0101_6^12 + 8974223770235039/7352718001293280*c_0101_6^11 - 3953824701962049/3676359000646640*c_0101_6^10 - 4474523244019473/1050388285899040*c_0101_6^9 + 33165327377022039/919089750161660*c_0101_6^8 - 951604273986097843/7352718001293280*c_0101_6^7 + 693167778713799419/7352718001293280*c_0101_6^6 - 10000595728229431/91908975016166*c_0101_6^5 + 1558263936792193331/7352718001293280*c_0101_6^4 + 32884769901603211/367635900064664*c_0101_6^3 + 714891387413704579/7352718001293280*c_0101_6^2 + 638167085173781143/7352718001293280*c_0101_6 - 100405621416480203/7352718001293280, c_0011_0 - 1, c_0011_3 + 629412905129/6564926786869*c_0101_6^12 + 119705292563/6564926786869*c_0101_6^11 - 6532295484472/6564926786869*c_0101_6^10 + 32290299433685/6564926786869*c_0101_6^9 - 7957584775809/596811526079*c_0101_6^8 + 7609552155919/596811526079*c_0101_6^7 - 93067562803401/6564926786869*c_0101_6^6 + 133803332582294/6564926786869*c_0101_6^5 + 1825749541175/6564926786869*c_0101_6^4 + 43223749815783/6564926786869*c_0101_6^3 + 35724311426896/6564926786869*c_0101_6^2 - 12112775519819/6564926786869*c_0101_6 + 5760787106249/6564926786869, c_0011_4 - 1129660677008/6564926786869*c_0101_6^12 - 585202027797/6564926786869*c_0101_6^11 + 11375031461070/6564926786869*c_0101_6^10 - 54230731517960/6564926786869*c_0101_6^9 + 12836598972860/596811526079*c_0101_6^8 - 10198402896681/596811526079*c_0101_6^7 + 150817918704851/6564926786869*c_0101_6^6 - 202352388394077/6564926786869*c_0101_6^5 - 74955130972174/6564926786869*c_0101_6^4 - 114837457394048/6564926786869*c_0101_6^3 - 108871463390748/6564926786869*c_0101_6^2 - 6047677696679/6564926786869*c_0101_6 - 8658864458796/6564926786869, c_0101_1 + 436227238294/6564926786869*c_0101_6^12 + 130014315194/6564926786869*c_0101_6^11 - 4448584871804/6564926786869*c_0101_6^10 + 1986889546499/596811526079*c_0101_6^9 - 59058952769458/6564926786869*c_0101_6^8 + 55553658358974/6564926786869*c_0101_6^7 - 69843623523170/6564926786869*c_0101_6^6 + 8864287917673/596811526079*c_0101_6^5 + 5826104864937/6564926786869*c_0101_6^4 + 37029102476635/6564926786869*c_0101_6^3 + 31160127745188/6564926786869*c_0101_6^2 - 6148656716910/6564926786869*c_0101_6 + 7934753735109/6564926786869, c_0101_2 + 1, c_0101_5 - 286956168069/6564926786869*c_0101_6^12 - 213475793797/6564926786869*c_0101_6^11 + 2977713798678/6564926786869*c_0101_6^10 - 13116074868301/6564926786869*c_0101_6^9 + 31431973816410/6564926786869*c_0101_6^8 - 14029962096791/6564926786869*c_0101_6^7 + 14569303061407/6564926786869*c_0101_6^6 - 26974381456644/6564926786869*c_0101_6^5 - 44197381968918/6564926786869*c_0101_6^4 - 10694700130000/6564926786869*c_0101_6^3 - 28576494822791/6564926786869*c_0101_6^2 - 455147818719/596811526079*c_0101_6 + 1415239821841/6564926786869, c_0101_6^13 + c_0101_6^12 - 10*c_0101_6^11 + 43*c_0101_6^10 - 100*c_0101_6^9 + 31*c_0101_6^8 - 67*c_0101_6^7 + 108*c_0101_6^6 + 161*c_0101_6^5 + 112*c_0101_6^4 + 129*c_0101_6^3 + 41*c_0101_6^2 + 3*c_0101_6 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB