Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 71670135] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2888 geometric_solution 6.09832261 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 1 -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 0.184393174810 0.875521813797 0 4 1 1 0132 3012 1230 3012 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 1 -1 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.769663803809 1.093665014876 3 0 6 5 2031 0132 0132 0132 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427770757819 1.086544143111 6 4 2 0 1302 2103 1302 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 1 0 -1 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 -0.859075647817 1.304111610407 1 3 0 6 1230 2103 0132 1230 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 -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 0.569656120520 0.611503416198 6 5 2 5 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.028974541170 1.014389527215 4 3 5 2 3012 2031 3201 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 0.427770757819 1.086544143111 ==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' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), '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_0011_5, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 8360970481113766900/9870994999639*c_0101_6^13 - 25693818648011741460/9870994999639*c_0101_6^12 - 8456055439868793656/9870994999639*c_0101_6^11 + 2713811666238402812/9870994999639*c_0101_6^10 - 68484256257772129735/9870994999639*c_0101_6^9 - 81184364206684546030/9870994999639*c_0101_6^8 - 95884294688958396063/39483979998556*c_0101_6^7 - 58587117010239221373/9870994999639*c_0101_6^6 - 362807297707498396429/39483979998556*c_0101_6^5 - 146585511835433385599/39483979998556*c_0101_6^4 - 1962251470497898447/19741989999278*c_0101_6^3 - 7714744224810196497/19741989999278*c_0101_6^2 - 8210585492291631953/19741989999278*c_0101_6 - 3379520436698864807/39483979998556, c_0011_0 - 1, c_0011_3 - 15085132090404120/9870994999639*c_0101_6^13 - 40977801698849904/9870994999639*c_0101_6^12 - 1353686726884352/9870994999639*c_0101_6^11 + 3557883180953160/9870994999639*c_0101_6^10 - 124624101484499866/9870994999639*c_0101_6^9 - 101914388604563502/9870994999639*c_0101_6^8 - 25542087222832733/19741989999278*c_0101_6^7 - 210115268180815257/19741989999278*c_0101_6^6 - 126267717857955178/9870994999639*c_0101_6^5 - 52030496974775021/19741989999278*c_0101_6^4 + 4659706576991391/19741989999278*c_0101_6^3 - 16585229367412459/19741989999278*c_0101_6^2 - 8569839381468573/19741989999278*c_0101_6 - 394908924980523/9870994999639, c_0011_4 + 113005321478048280/108580944996029*c_0101_6^13 + 307999585100559136/108580944996029*c_0101_6^12 + 12270729115418960/108580944996029*c_0101_6^11 - 27923802219456776/108580944996029*c_0101_6^10 + 934151809641178906/108580944996029*c_0101_6^9 + 771565806651776482/108580944996029*c_0101_6^8 + 195039388085500797/217161889992058*c_0101_6^7 + 1573395376311636043/217161889992058*c_0101_6^6 + 953079968088593472/108580944996029*c_0101_6^5 + 398194838871638203/217161889992058*c_0101_6^4 - 36567623956992363/217161889992058*c_0101_6^3 + 124762215530566683/217161889992058*c_0101_6^2 + 65229818795631137/217161889992058*c_0101_6 + 2963835384416330/108580944996029, c_0011_5 - 94656439132000540/108580944996029*c_0101_6^13 - 262096875832099508/108580944996029*c_0101_6^12 - 19463480177894032/108580944996029*c_0101_6^11 + 27400655066499740/108580944996029*c_0101_6^10 - 783478764843851949/108580944996029*c_0101_6^9 - 679633573702234588/108580944996029*c_0101_6^8 - 373639428091147309/434323779984116*c_0101_6^7 - 1314213868771313791/217161889992058*c_0101_6^6 - 3311070115935139339/434323779984116*c_0101_6^5 - 747188081230905709/434323779984116*c_0101_6^4 + 35264914674175947/217161889992058*c_0101_6^3 - 52760420626834985/108580944996029*c_0101_6^2 - 29186869610589809/108580944996029*c_0101_6 - 10936590801946547/434323779984116, c_0101_1 + 37148415050516020/108580944996029*c_0101_6^13 + 109914111129219964/108580944996029*c_0101_6^12 + 23246243729476288/108580944996029*c_0101_6^11 - 17952033583865060/108580944996029*c_0101_6^10 + 309506547162489711/108580944996029*c_0101_6^9 + 323973218238605124/108580944996029*c_0101_6^8 + 221940302310931807/434323779984116*c_0101_6^7 + 509007336670195293/217161889992058*c_0101_6^6 + 1503289366717855269/434323779984116*c_0101_6^5 + 427255530549565055/434323779984116*c_0101_6^4 - 23159496515539247/217161889992058*c_0101_6^3 + 22048514661037430/108580944996029*c_0101_6^2 + 14759036622849576/108580944996029*c_0101_6 + 5452755985538337/434323779984116, c_0101_2 + 15085132090404120/9870994999639*c_0101_6^13 + 40977801698849904/9870994999639*c_0101_6^12 + 1353686726884352/9870994999639*c_0101_6^11 - 3557883180953160/9870994999639*c_0101_6^10 + 124624101484499866/9870994999639*c_0101_6^9 + 101914388604563502/9870994999639*c_0101_6^8 + 25542087222832733/19741989999278*c_0101_6^7 + 210115268180815257/19741989999278*c_0101_6^6 + 126267717857955178/9870994999639*c_0101_6^5 + 52030496974775021/19741989999278*c_0101_6^4 - 4659706576991391/19741989999278*c_0101_6^3 + 16585229367412459/19741989999278*c_0101_6^2 + 8569839381468573/19741989999278*c_0101_6 + 394908924980523/9870994999639, c_0101_6^14 + 16/5*c_0101_6^13 + 7/5*c_0101_6^12 - 1/5*c_0101_6^11 + 163/20*c_0101_6^10 + 43/4*c_0101_6^9 + 327/80*c_0101_6^8 + 589/80*c_0101_6^7 + 939/80*c_0101_6^6 + 23/4*c_0101_6^5 + 53/80*c_0101_6^4 + 19/40*c_0101_6^3 + 11/20*c_0101_6^2 + 13/80*c_0101_6 + 1/80 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB