Magma V2.19-8 Tue Aug 20 2013 23:47:12 on localhost [Seed = 2480273877] Type ? for help. Type -D to quit. Loading file "K14n886__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n886 geometric_solution 10.82509586 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.406336761796 0.581583612278 0 4 2 5 0132 0132 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377518204811 0.968869161425 6 0 3 1 0132 0132 3201 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 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 1.199820864373 0.975815711674 2 0 4 0 2310 2310 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084813606661 0.770322831343 7 1 7 3 0132 0132 3120 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.478356634144 0.510424418692 6 8 1 9 3201 0132 0132 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 1 0 0 -1 3 -4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923287684757 0.879096238128 2 10 9 5 0132 0132 2031 2310 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 -1 -3 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.594047369869 0.368614700609 4 8 4 11 0132 2310 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478356634144 0.510424418692 10 5 10 7 3120 0132 3201 3201 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 1 0 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817452981621 0.628243706212 11 11 5 6 0213 2310 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406858489783 0.710620199853 8 6 11 8 2310 0132 3012 3120 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641560724509 0.846100056150 9 10 7 9 0213 1230 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.692277019658 0.829390669155 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_0']), 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_4']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_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_2_11' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_1001_4'], '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' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : 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_0110_11' : d['c_0011_5'], 'c_0110_10' : negation(d['c_0101_8']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0101_8']), '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_0101_6'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0011_9'], 'c_1100_8' : d['c_0011_0']})} 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_11, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 4024289840379/28363877360*c_1001_4^15 - 503985676281/253248905*c_1001_4^14 + 104293951212713/4051982480*c_1001_4^13 - 416740767838443/2025991240*c_1001_4^12 + 4015572362720507/4051982480*c_1001_4^11 - 12671263819168743/4051982480*c_1001_4^10 + 194493654218670267/28363877360*c_1001_4^9 - 43690127969315407/4051982480*c_1001_4^8 + 348676072384412183/28363877360*c_1001_4^7 - 286460254189323321/28363877360*c_1001_4^6 + 279025272095326/47911955*c_1001_4^5 - 4814928646034789/2181836720*c_1001_4^4 + 3200400606538113/7090969340*c_1001_4^3 - 166583142875371/28363877360*c_1001_4^2 - 3700619912179/405198248*c_1001_4 - 114658444762/36178415, c_0011_0 - 1, c_0011_11 - 4793/223496*c_1001_4^15 + 2403/31928*c_1001_4^14 - 2420/3991*c_1001_4^13 - 181065/15964*c_1001_4^12 + 6279805/31928*c_1001_4^11 - 19903925/15964*c_1001_4^10 + 77974831/17192*c_1001_4^9 - 43114314/3991*c_1001_4^8 + 3962105391/223496*c_1001_4^7 - 1131636333/55874*c_1001_4^6 + 439584686/27937*c_1001_4^5 - 1726107473/223496*c_1001_4^4 + 432589463/223496*c_1001_4^3 - 3305137/111748*c_1001_4^2 - 206731/3991*c_1001_4 - 204187/15964, c_0011_3 + 173811/223496*c_1001_4^15 - 2588493/223496*c_1001_4^14 + 1200023/7982*c_1001_4^13 - 39809781/31928*c_1001_4^12 + 50861437/7982*c_1001_4^11 - 171958547/7982*c_1001_4^10 + 11375524767/223496*c_1001_4^9 - 19344463429/223496*c_1001_4^8 + 23881552663/223496*c_1001_4^7 - 21160392545/223496*c_1001_4^6 + 462819287/7982*c_1001_4^5 - 1254595421/55874*c_1001_4^4 + 135832097/31928*c_1001_4^3 + 8789649/111748*c_1001_4^2 - 16419941/223496*c_1001_4 - 940819/31928, c_0011_5 + 46569/111748*c_1001_4^15 - 26877/4298*c_1001_4^14 + 648919/7982*c_1001_4^13 - 21635227/31928*c_1001_4^12 + 111584017/31928*c_1001_4^11 - 190955991/15964*c_1001_4^10 + 801235310/27937*c_1001_4^9 - 11086930957/223496*c_1001_4^8 + 3488252247/55874*c_1001_4^7 - 12631580093/223496*c_1001_4^6 + 3960396903/111748*c_1001_4^5 - 449579327/31928*c_1001_4^4 + 153331013/55874*c_1001_4^3 + 2796667/55874*c_1001_4^2 - 11374887/223496*c_1001_4 - 630813/31928, c_0011_9 - 60/3991*c_1001_4^14 + 840/3991*c_1001_4^13 - 10880/3991*c_1001_4^12 + 86880/3991*c_1001_4^11 - 1676769/15964*c_1001_4^10 + 2653285/7982*c_1001_4^9 - 5830009/7982*c_1001_4^8 + 4575016/3991*c_1001_4^7 - 396680/307*c_1001_4^6 + 4102888/3991*c_1001_4^5 - 2193498/3991*c_1001_4^4 + 701704/3991*c_1001_4^3 - 193663/7982*c_1001_4^2 + 6005/7982*c_1001_4 - 16105/15964, c_0101_0 + 62063/223496*c_1001_4^15 - 76065/17192*c_1001_4^14 + 230032/3991*c_1001_4^13 - 15846159/31928*c_1001_4^12 + 21367601/7982*c_1001_4^11 - 152870187/15964*c_1001_4^10 + 5343089491/223496*c_1001_4^9 - 9586219299/223496*c_1001_4^8 + 12472941099/223496*c_1001_4^7 - 11644962751/223496*c_1001_4^6 + 1880584761/55874*c_1001_4^5 - 220474455/15964*c_1001_4^4 + 632673031/223496*c_1001_4^3 + 1640853/111748*c_1001_4^2 - 11668225/223496*c_1001_4 - 631643/31928, c_0101_1 + 1281/7982*c_1001_4^15 - 19095/7982*c_1001_4^14 + 19095/614*c_1001_4^13 - 2061425/7982*c_1001_4^12 + 5289329/3991*c_1001_4^11 - 72072643/15964*c_1001_4^10 + 172149339/15964*c_1001_4^9 - 297026803/15964*c_1001_4^8 + 373597495/15964*c_1001_4^7 - 338978553/15964*c_1001_4^6 + 214019519/15964*c_1001_4^5 - 86347657/15964*c_1001_4^4 + 17493901/15964*c_1001_4^3 + 141939/15964*c_1001_4^2 - 356851/15964*c_1001_4 - 54787/7982, c_0101_10 - 4521/111748*c_1001_4^15 + 240469/223496*c_1001_4^14 - 464405/31928*c_1001_4^13 + 4843429/31928*c_1001_4^12 - 32884927/31928*c_1001_4^11 + 143969931/31928*c_1001_4^10 - 746297231/55874*c_1001_4^9 + 3105652335/111748*c_1001_4^8 - 2307591015/55874*c_1001_4^7 + 696306321/15964*c_1001_4^6 - 3544821023/111748*c_1001_4^5 + 3280724117/223496*c_1001_4^4 - 774458093/223496*c_1001_4^3 + 7739175/223496*c_1001_4^2 + 18320889/223496*c_1001_4 + 765183/31928, c_0101_3 + 1355/3991*c_1001_4^15 - 266247/55874*c_1001_4^14 + 245862/3991*c_1001_4^13 - 7858961/15964*c_1001_4^12 + 9457589/3991*c_1001_4^11 - 29743566/3991*c_1001_4^10 + 258738895/15964*c_1001_4^9 - 699983611/27937*c_1001_4^8 + 441303331/15964*c_1001_4^7 - 1192432513/55874*c_1001_4^6 + 1220163863/111748*c_1001_4^5 - 180718029/55874*c_1001_4^4 + 2816809/8596*c_1001_4^3 + 6155223/111748*c_1001_4^2 + 122099/111748*c_1001_4 - 22507/7982, c_0101_6 + 62063/223496*c_1001_4^15 - 985485/223496*c_1001_4^14 + 229192/3991*c_1001_4^13 - 15759119/31928*c_1001_4^12 + 21193841/7982*c_1001_4^11 - 75596709/7982*c_1001_4^10 + 5268797511/223496*c_1001_4^9 - 9422979047/223496*c_1001_4^8 + 12216740203/223496*c_1001_4^7 - 11356179711/223496*c_1001_4^6 + 1823144329/55874*c_1001_4^5 - 16284651/1228*c_1001_4^4 + 593377607/223496*c_1001_4^3 + 4352135/111748*c_1001_4^2 - 11612869/223496*c_1001_4 - 599433/31928, c_0101_8 - 6423/17192*c_1001_4^15 + 1234693/223496*c_1001_4^14 - 2286673/31928*c_1001_4^13 + 4718609/7982*c_1001_4^12 - 47815847/15964*c_1001_4^11 + 159751967/15964*c_1001_4^10 - 200151857/8596*c_1001_4^9 + 8681207763/223496*c_1001_4^8 - 402402293/8596*c_1001_4^7 + 8994320299/223496*c_1001_4^6 - 5303327115/223496*c_1001_4^5 + 139962539/15964*c_1001_4^4 - 351831919/223496*c_1001_4^3 - 4094373/223496*c_1001_4^2 + 81363/4298*c_1001_4 + 289135/31928, c_1001_4^16 - 16*c_1001_4^15 + 210*c_1001_4^14 - 1820*c_1001_4^13 + 10003*c_1001_4^12 - 37044*c_1001_4^11 + 97396*c_1001_4^10 - 187680*c_1001_4^9 + 268901*c_1001_4^8 - 286184*c_1001_4^7 + 222252*c_1001_4^6 - 120664*c_1001_4^5 + 41627*c_1001_4^4 - 6924*c_1001_4^3 - 190*c_1001_4^2 + 84*c_1001_4 + 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.490 Total time: 2.700 seconds, Total memory usage: 32.09MB