Magma V2.19-8 Tue Aug 20 2013 23:44:21 on localhost [Seed = 2345528947] Type ? for help. Type -D to quit. Loading file "L14n32809__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32809 geometric_solution 10.22503289 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 1 0132 0132 1023 1023 0 0 1 1 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 -2 2 -1 0 0 1 -1 1 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.289475193164 0.726166219945 0 3 4 0 0132 0132 0132 1023 0 0 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 1 -1 1 0 1 -2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688384382467 0.703538398767 5 0 0 6 0132 0132 1023 0132 0 0 1 1 0 0 0 0 0 0 -1 1 1 -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 0 0 2 -2 5 -5 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688384382467 0.703538398767 5 1 5 6 1302 0132 1230 0321 0 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326192710948 0.833651207073 5 7 8 1 2103 0132 0132 0132 0 0 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 1 -1 0 0 1 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455379330570 0.865132333620 2 3 4 3 0132 2031 2103 3012 1 0 1 1 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 0 0 0 0 0 0 0 4 0 0 -4 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326192710948 0.833651207073 7 3 2 9 0132 0321 0132 0132 0 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455379330570 0.865132333620 6 4 9 8 0132 0132 0213 3120 0 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 2 0 -2 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 -0.307094110123 0.661928293924 7 9 10 4 3120 2031 0132 0132 0 0 1 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 -1 0 0 1 -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 0.671569797111 0.498330246770 8 7 6 10 1302 0213 0132 0132 0 0 0 1 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 -1 2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671569797111 0.498330246770 10 10 9 8 1302 2031 0132 0132 0 0 0 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 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 0.778626602842 0.694579192536 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_10']), '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' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1100_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1100_10' : negation(d['c_1100_0']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : negation(d['c_1100_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : 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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_8'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_8, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 368094729364823379968/5394881990997*c_1100_0^14 + 2529792780327002447872/5394881990997*c_1100_0^13 + 8251366966723923478016/5394881990997*c_1100_0^12 + 16873936912023951638912/5394881990997*c_1100_0^11 + 24226803424292968932944/5394881990997*c_1100_0^10 + 26200752707304754143928/5394881990997*c_1100_0^9 + 7563963439646919328451/1798293996999*c_1100_0^8 + 16650375365802608881933/5394881990997*c_1100_0^7 + 10657473609178089973870/5394881990997*c_1100_0^6 + 215544734875567475938/199810444111*c_1100_0^5 + 282450225426944701363/599431332333*c_1100_0^4 + 818556277421549698499/5394881990997*c_1100_0^3 + 176147744342465923771/5394881990997*c_1100_0^2 + 2405792960733116828/599431332333*c_1100_0 + 344383093589166523/1798293996999, c_0011_0 - 1, c_0011_10 + 266837336141824/9826743153*c_1100_0^14 + 1603852223565824/9826743153*c_1100_0^13 + 4621111185269248/9826743153*c_1100_0^12 + 8390553311595136/9826743153*c_1100_0^11 + 10756883746390000/9826743153*c_1100_0^10 + 10520991740013464/9826743153*c_1100_0^9 + 2808417627556473/3275581051*c_1100_0^8 + 5833908818665094/9826743153*c_1100_0^7 + 3513722929119689/9826743153*c_1100_0^6 + 583647115694834/3275581051*c_1100_0^5 + 223240698174836/3275581051*c_1100_0^4 + 181728056246323/9826743153*c_1100_0^3 + 31813950558752/9826743153*c_1100_0^2 + 1022349363401/3275581051*c_1100_0 + 36443624004/3275581051, c_0011_4 + 31668340207616/3275581051*c_1100_0^14 + 211314855571456/3275581051*c_1100_0^13 + 667258078011904/3275581051*c_1100_0^12 + 1317763451068032/3275581051*c_1100_0^11 + 1824128021101552/3275581051*c_1100_0^10 + 1903973697882552/3275581051*c_1100_0^9 + 1600449959944075/3275581051*c_1100_0^8 + 1148805958562232/3275581051*c_1100_0^7 + 720378693311717/3275581051*c_1100_0^6 + 381376435348381/3275581051*c_1100_0^5 + 158760108638121/3275581051*c_1100_0^4 + 47954621902797/3275581051*c_1100_0^3 + 9572401709254/3275581051*c_1100_0^2 + 1081882575681/3275581051*c_1100_0 + 48869095203/3275581051, c_0011_8 + 260115829366784/9826743153*c_1100_0^14 + 1672429236072448/9826743153*c_1100_0^13 + 5126713280949248/9826743153*c_1100_0^12 + 9877588562855168/9826743153*c_1100_0^11 + 13398368407786016/9826743153*c_1100_0^10 + 13772500674510880/9826743153*c_1100_0^9 + 3820190986346894/3275581051*c_1100_0^8 + 8168447102165017/9826743153*c_1100_0^7 + 5080964972665597/9826743153*c_1100_0^6 + 886667561188045/3275581051*c_1100_0^5 + 364304989799262/3275581051*c_1100_0^4 + 325807658358287/9826743153*c_1100_0^3 + 64292224590295/9826743153*c_1100_0^2 + 2419310224587/3275581051*c_1100_0 + 110811288110/3275581051, c_0101_0 - 1, c_0101_1 - 157684334120960/9826743153*c_1100_0^14 - 992990950297600/9826743153*c_1100_0^13 - 2981887613083136/9826743153*c_1100_0^12 - 5630563899244928/9826743153*c_1100_0^11 - 7493000574573584/9826743153*c_1100_0^10 - 7576838377687240/9826743153*c_1100_0^9 - 2076597805987687/3275581051*c_1100_0^8 - 4402867734796960/9826743153*c_1100_0^7 - 2712890304336943/9826743153*c_1100_0^6 - 466661560786668/3275581051*c_1100_0^5 - 188104658683881/3275581051*c_1100_0^4 - 164647877229425/9826743153*c_1100_0^3 - 31763303733211/9826743153*c_1100_0^2 - 1167866493897/3275581051*c_1100_0 - 54595374731/3275581051, c_0101_2 - 157684334120960/9826743153*c_1100_0^14 - 992990950297600/9826743153*c_1100_0^13 - 2981887613083136/9826743153*c_1100_0^12 - 5630563899244928/9826743153*c_1100_0^11 - 7493000574573584/9826743153*c_1100_0^10 - 7576838377687240/9826743153*c_1100_0^9 - 2076597805987687/3275581051*c_1100_0^8 - 4402867734796960/9826743153*c_1100_0^7 - 2712890304336943/9826743153*c_1100_0^6 - 466661560786668/3275581051*c_1100_0^5 - 188104658683881/3275581051*c_1100_0^4 - 164647877229425/9826743153*c_1100_0^3 - 31763303733211/9826743153*c_1100_0^2 - 1167866493897/3275581051*c_1100_0 - 54595374731/3275581051, c_0101_4 - 2*c_1100_0 - 1, c_0101_8 - 53103774470144/3275581051*c_1100_0^14 - 324983769976832/3275581051*c_1100_0^13 - 952906864973312/3275581051*c_1100_0^12 - 1760043025874816/3275581051*c_1100_0^11 - 2293974153467216/3275581051*c_1100_0^10 - 2276892158880616/3275581051*c_1100_0^9 - 1844667541308153/3275581051*c_1100_0^8 - 1289323710279152/3275581051*c_1100_0^7 - 785103290822009/3275581051*c_1100_0^6 - 397825370662458/3275581051*c_1100_0^5 - 156043316063798/3275581051*c_1100_0^4 - 43979189803872/3275581051*c_1100_0^3 - 8198778408854/3275581051*c_1100_0^2 - 894541335964/3275581051*c_1100_0 - 42932288993/3275581051, c_1001_1 - 2*c_1100_0 - 1, c_1100_0^15 + 7*c_1100_0^14 + 187/8*c_1100_0^13 + 1575/32*c_1100_0^12 + 18741/256*c_1100_0^11 + 42209/512*c_1100_0^10 + 304921/4096*c_1100_0^9 + 116197/2048*c_1100_0^8 + 154071/4096*c_1100_0^7 + 88015/4096*c_1100_0^6 + 10353/1024*c_1100_0^5 + 15109/4096*c_1100_0^4 + 125/128*c_1100_0^3 + 353/2048*c_1100_0^2 + 9/512*c_1100_0 + 3/4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB