Magma V2.19-8 Tue Aug 20 2013 16:19:25 on localhost [Seed = 1865347664] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3522 geometric_solution 6.82252901 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 -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 0.721245375769 0.705824845605 0 5 5 6 0132 0132 3201 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 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 0.556725310593 0.857735754749 6 0 6 3 3201 0132 1302 1230 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 -1 1 0 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336766382664 1.111724087262 2 5 4 0 3012 1302 3201 0132 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 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 0.623027043854 0.446553952962 3 6 0 5 2310 2103 0132 3012 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 -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 0.671895045766 0.709674594356 1 1 4 3 2310 0132 1230 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301889348419 0.669993283677 2 4 1 2 2031 2103 0132 2310 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 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 0 0.509180010620 0.986509040163 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_2_6' : negation(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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_6']})} 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_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 12025739582200343991/13140763512212460124*c_0101_3^12 + 47384332748508801706/3285190878053115031*c_0101_3^11 - 110205990799340534755/13140763512212460124*c_0101_3^10 + 712527509541079415361/6570381756106230062*c_0101_3^9 + 411380831677630413934/3285190878053115031*c_0101_3^8 + 12372351907270887281/91893451134352868*c_0101_3^7 + 839342540791657143707/3285190878053115031*c_0101_3^6 + 1290256473836516333773/13140763512212460124*c_0101_3^5 + 1171104176714713834207/13140763512212460124*c_0101_3^4 + 766598320378605689333/13140763512212460124*c_0101_3^3 - 192785836729102189673/6570381756106230062*c_0101_3^2 - 25804732995646073927/13140763512212460124*c_0101_3 + 100306964352818650277/13140763512212460124, c_0011_0 - 1, c_0011_3 - 65298586786909/91801649484868*c_0101_3^12 + 255605223118200/22950412371217*c_0101_3^11 - 475911607481737/91801649484868*c_0101_3^10 + 3711082157917897/45900824742434*c_0101_3^9 + 2468390382587295/22950412371217*c_0101_3^8 + 8654167025465573/91801649484868*c_0101_3^7 + 4240979666472389/22950412371217*c_0101_3^6 + 6596489871355391/91801649484868*c_0101_3^5 + 2971587096175973/91801649484868*c_0101_3^4 + 2724324809940915/91801649484868*c_0101_3^3 - 1665493296641695/45900824742434*c_0101_3^2 - 1291311140050593/91801649484868*c_0101_3 + 667220867598191/91801649484868, c_0011_4 + 82927103744997/91801649484868*c_0101_3^12 - 647378576125093/45900824742434*c_0101_3^11 + 547140139418975/91801649484868*c_0101_3^10 - 4702191709327257/45900824742434*c_0101_3^9 - 3244512761730816/22950412371217*c_0101_3^8 - 11595293006596849/91801649484868*c_0101_3^7 - 11136800121708311/45900824742434*c_0101_3^6 - 9695236413962097/91801649484868*c_0101_3^5 - 4590978590902373/91801649484868*c_0101_3^4 - 4237981357452625/91801649484868*c_0101_3^3 + 1853865106536337/45900824742434*c_0101_3^2 + 1621809355417205/91801649484868*c_0101_3 - 805630780459317/91801649484868, c_0011_6 + 10068316050483/91801649484868*c_0101_3^12 - 79363882191383/45900824742434*c_0101_3^11 + 93490411980697/91801649484868*c_0101_3^10 - 601112525103213/45900824742434*c_0101_3^9 - 342505963721235/22950412371217*c_0101_3^8 - 1566675381792799/91801649484868*c_0101_3^7 - 1441886819583587/45900824742434*c_0101_3^6 - 1353087459714551/91801649484868*c_0101_3^5 - 1287769623550711/91801649484868*c_0101_3^4 - 653156041649567/91801649484868*c_0101_3^3 + 59945933669223/45900824742434*c_0101_3^2 + 120904310509271/91801649484868*c_0101_3 + 25605607948889/91801649484868, c_0101_0 + 38424443795795/91801649484868*c_0101_3^12 - 151436382596282/22950412371217*c_0101_3^11 + 341991381475739/91801649484868*c_0101_3^10 - 2179772779743053/45900824742434*c_0101_3^9 - 1340870224266023/22950412371217*c_0101_3^8 - 4205289703070319/91801649484868*c_0101_3^7 - 2275341514926059/22950412371217*c_0101_3^6 - 2589265991249705/91801649484868*c_0101_3^5 - 869233300834955/91801649484868*c_0101_3^4 - 1270161048258153/91801649484868*c_0101_3^3 + 1060590587825597/45900824742434*c_0101_3^2 + 646140505368551/91801649484868*c_0101_3 - 511690462712697/91801649484868, c_0101_1 + 82575834346917/91801649484868*c_0101_3^12 - 324279222781728/22950412371217*c_0101_3^11 + 668413651343053/91801649484868*c_0101_3^10 - 4717426564846465/45900824742434*c_0101_3^9 - 3002528759740029/22950412371217*c_0101_3^8 - 10438985590683569/91801649484868*c_0101_3^7 - 5278123868799051/22950412371217*c_0101_3^6 - 7457409890284951/91801649484868*c_0101_3^5 - 3467075316687961/91801649484868*c_0101_3^4 - 3408157183299187/91801649484868*c_0101_3^3 + 2141820599512931/45900824742434*c_0101_3^2 + 1440555779628589/91801649484868*c_0101_3 - 945845126654199/91801649484868, c_0101_3^13 - 15*c_0101_3^12 - 3*c_0101_3^11 - 109*c_0101_3^10 - 226*c_0101_3^9 - 233*c_0101_3^8 - 349*c_0101_3^7 - 275*c_0101_3^6 - 116*c_0101_3^5 - 76*c_0101_3^4 + 19*c_0101_3^3 + 51*c_0101_3^2 + 2*c_0101_3 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB