Magma V2.19-8 Tue Aug 20 2013 23:56:04 on localhost [Seed = 1360476529] Type ? for help. Type -D to quit. Loading file "L14n14076__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14076 geometric_solution 11.05976687 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 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 -0.406717830453 1.263639881587 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230800501207 0.717078761192 5 0 7 8 0132 0132 2310 0132 1 0 1 1 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 -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 0.230800501207 0.717078761192 6 9 10 0 3201 0132 0132 0132 1 1 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079271894071 1.082995618335 11 5 0 10 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 1 -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 -0.025379194497 0.615854314516 2 1 9 4 0132 0132 0132 3201 1 0 1 1 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 -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 -0.406717830453 1.263639881587 11 8 1 3 3120 2103 0132 2310 1 1 1 1 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 0 -3 4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271433598955 0.725820140287 10 2 9 1 0213 3201 3201 0132 1 1 1 0 0 0 0 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 0 0 0 -3 0 0 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996005875314 1.057616334830 10 6 2 11 1302 2103 0132 1302 1 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 -1 1 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 0.271433598955 0.725820140287 7 3 11 5 2310 0132 2310 0132 1 0 1 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 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 0.079271894071 1.082995618335 7 8 4 3 0213 2031 0132 0132 1 1 1 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 1 0 0 0 0 0 3 1 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310504228169 1.081801917148 4 9 8 6 0132 3201 2031 3120 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 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 0.310504228169 1.081801917148 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0011_8'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_1100_8' : d['c_0011_7'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_7'], 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 905531120380138553344/589978066611316075*c_1100_0^9 - 2644442056638741184512/589978066611316075*c_1100_0^8 - 3833251423882919641088/589978066611316075*c_1100_0^7 - 878670712621920591872/84282580944473725*c_1100_0^6 - 5201902966583372783616/589978066611316075*c_1100_0^5 - 26897899519535960064/7662052813133975*c_1100_0^4 - 2287819552168755207168/589978066611316075*c_1100_0^3 + 31710713854366380544/10726873938387565*c_1100_0^2 - 44407687164268906496/589978066611316075*c_1100_0 - 4813784551287055616/84282580944473725, c_0011_0 - 1, c_0011_10 - 120036229568/8669687209*c_1100_0^9 - 339439377152/8669687209*c_1100_0^8 - 485003598304/8669687209*c_1100_0^7 - 806112885904/8669687209*c_1100_0^6 - 681450927344/8669687209*c_1100_0^5 - 304916324266/8669687209*c_1100_0^4 - 377283973556/8669687209*c_1100_0^3 + 394792089031/17339374418*c_1100_0^2 - 238260855493/34678748836*c_1100_0 - 54746766785/69357497672, c_0011_11 - 184349867328/8669687209*c_1100_0^9 - 540345707264/8669687209*c_1100_0^8 - 791630989088/8669687209*c_1100_0^7 - 1279927264816/8669687209*c_1100_0^6 - 1095652929808/8669687209*c_1100_0^5 - 457666265470/8669687209*c_1100_0^4 - 496519306676/8669687209*c_1100_0^3 + 691172832173/17339374418*c_1100_0^2 - 69568032839/34678748836*c_1100_0 - 154407830123/69357497672, c_0011_3 - 108236925696/8669687209*c_1100_0^9 - 320684315264/8669687209*c_1100_0^8 - 478866967808/8669687209*c_1100_0^7 - 775365514912/8669687209*c_1100_0^6 - 677669284752/8669687209*c_1100_0^5 - 309905431840/8669687209*c_1100_0^4 - 319737006664/8669687209*c_1100_0^3 + 181813335810/8669687209*c_1100_0^2 - 21438156492/8669687209*c_1100_0 - 10731327599/8669687209, c_0011_6 + 34941942272/8669687209*c_1100_0^9 + 111322277504/8669687209*c_1100_0^8 + 183051522880/8669687209*c_1100_0^7 + 302332468416/8669687209*c_1100_0^6 + 299791156992/8669687209*c_1100_0^5 + 177675479072/8669687209*c_1100_0^4 + 150764752076/8669687209*c_1100_0^3 - 28097394794/8669687209*c_1100_0^2 - 5758044463/8669687209*c_1100_0 + 5521547172/8669687209, c_0011_7 - 32123984064/8669687209*c_1100_0^9 - 101022923264/8669687209*c_1100_0^8 - 166102946528/8669687209*c_1100_0^7 - 270803765008/8669687209*c_1100_0^6 - 259685639696/8669687209*c_1100_0^5 - 162144598210/8669687209*c_1100_0^4 - 142954706652/8669687209*c_1100_0^3 + 36080511067/17339374418*c_1100_0^2 - 101937219097/34678748836*c_1100_0 - 17293411461/69357497672, c_0011_8 + 181531909120/8669687209*c_1100_0^9 + 530046353024/8669687209*c_1100_0^8 + 774682412736/8669687209*c_1100_0^7 + 1248398561408/8669687209*c_1100_0^6 + 1055547412512/8669687209*c_1100_0^5 + 442135384608/8669687209*c_1100_0^4 + 488709261252/8669687209*c_1100_0^3 - 335529276826/8669687209*c_1100_0^2 + 48634357447/8669687209*c_1100_0 + 15941108026/8669687209, c_0101_0 + 45901338368/8669687209*c_1100_0^9 + 138612508544/8669687209*c_1100_0^8 + 213758463680/8669687209*c_1100_0^7 + 346917119968/8669687209*c_1100_0^6 + 307986299680/8669687209*c_1100_0^5 + 150912028328/8669687209*c_1100_0^4 + 140777066524/8669687209*c_1100_0^3 - 79928847460/8669687209*c_1100_0^2 + 7041864525/8669687209*c_1100_0 - 424290844/8669687209, c_0101_1 + 22782661120/8669687209*c_1100_0^9 + 67951789312/8669687209*c_1100_0^8 + 97007107840/8669687209*c_1100_0^7 + 156613888512/8669687209*c_1100_0^6 + 142106138688/8669687209*c_1100_0^5 + 53265686168/8669687209*c_1100_0^4 + 56825713972/8669687209*c_1100_0^3 - 42209436530/8669687209*c_1100_0^2 - 18032869589/8669687209*c_1100_0 + 2742121357/8669687209, c_0101_2 - 1, c_1001_1 - 84213657600/8669687209*c_1100_0^9 - 230835244032/8669687209*c_1100_0^8 - 311642969152/8669687209*c_1100_0^7 - 513188446624/8669687209*c_1100_0^6 - 402904629776/8669687209*c_1100_0^5 - 133456886736/8669687209*c_1100_0^4 - 214189372540/8669687209*c_1100_0^3 + 163168008784/8669687209*c_1100_0^2 - 39029066805/8669687209*c_1100_0 - 8209466376/8669687209, c_1100_0^10 + 3*c_1100_0^9 + 9/2*c_1100_0^8 + 29/4*c_1100_0^7 + 13/2*c_1100_0^6 + 99/32*c_1100_0^5 + 99/32*c_1100_0^4 - 185/128*c_1100_0^3 + 29/256*c_1100_0^2 + 41/512*c_1100_0 + 5/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB