Magma V2.19-8 Wed Aug 21 2013 01:01:28 on localhost [Seed = 2884481133] Type ? for help. Type -D to quit. Loading file "L14n12115__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12115 geometric_solution 11.10643905 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 0 0 0 0 -1 0 1 -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 1.052460351302 1.301140817312 0 5 5 6 0132 0132 1302 0132 1 1 1 1 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 1 0 0 -1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800756449004 0.560034436856 4 0 8 7 0213 0132 0132 0132 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 0 0 0 0 0 0 0 1 0 -1 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 0.731465248624 1.004432155148 9 10 11 0 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.004484240923 1.573144412290 2 10 0 7 0213 0321 0132 0213 0 1 1 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 -1 1 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 -0.268534751376 1.004432155148 1 1 8 7 2031 0132 3201 2310 1 1 1 1 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161379377967 0.586515947989 9 11 1 10 1230 3012 0132 1230 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 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 0.571635251146 0.512114412873 5 11 2 4 3201 0213 0132 0213 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 0 0 0 0 0 0 0 0 1 -1 -1 0 0 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 0.052460351302 1.301140817312 5 10 11 2 2310 0213 0213 0132 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 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 0.533732849817 1.370629561500 3 6 12 12 0132 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147613232674 0.482650398587 6 3 8 4 3012 0132 0213 0321 0 1 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 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 -0.466267150183 1.370629561500 6 8 7 3 1230 0213 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294900943351 0.508746607236 12 9 12 9 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.131539891798 0.837208885857 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_1100_8' : d['c_1001_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1010_7'], 'c_1100_3' : d['c_1010_7'], 'c_1100_2' : d['c_1001_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_7'], 'c_1100_10' : d['c_1001_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_12']), '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_10'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_7, c_1001_0, c_1001_2, c_1001_3, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3259618796486396332069/54807693823039425900662784*c_1010_7^15 - 10810513177635474397669/54807693823039425900662784*c_1010_7^14 + 258491531895357950287261/164423081469118277701988352*c_1010_7^13 - 365048582140134434449165/164423081469118277701988352*c_1010_7^12 + 2092252568397292045115185/164423081469118277701988352*c_1010_7^11 - 846167557041867844495013/164423081469118277701988352*c_1010_7^10 + 8521995213965478189723445/164423081469118277701988352*c_1010_7^9 + 1578387732449784041698391/164423081469118277701988352*c_1010_7^8 + 4533487543495808583497615/41105770367279569425497088*c_1010_7^7 + 231694706656172589245593/5138221295909946178187136*c_1010_7^6 + 8094410261210962090670947/82211540734559138850994176*c_1010_7^5 + 806304853280417358727393/27403846911519712950331392*c_1010_7^4 + 307703788102901387285/96947571620942380720512*c_1010_7^3 - 456784815291555916758179/20552885183639784712748544*c_1010_7^2 - 862713297153348266313269/41105770367279569425497088*c_1010_7 - 18685620138984895781785/4567307818586618825055232, c_0011_0 - 1, c_0011_10 - 7512814745/16439399232*c_1010_7^15 + 13002540377/16439399232*c_1010_7^14 - 158474828885/16439399232*c_1010_7^13 - 11431331337/5479799744*c_1010_7^12 - 1171055209967/16439399232*c_1010_7^11 - 1803943388629/16439399232*c_1010_7^10 - 5920667243857/16439399232*c_1010_7^9 - 10545822023611/16439399232*c_1010_7^8 - 1172943150047/1027462452*c_1010_7^7 - 6363362865545/4109849808*c_1010_7^6 - 5009317047525/2739899872*c_1010_7^5 - 13879984887335/8219699616*c_1010_7^4 - 49236477047/38772168*c_1010_7^3 - 179799536027/256865613*c_1010_7^2 - 1081950737035/4109849808*c_1010_7 - 68592398421/1369949936, c_0011_11 - 3103520399/27398998720*c_1010_7^15 + 44627253421/82196996160*c_1010_7^14 - 18097401959/5479799744*c_1010_7^13 + 618155236649/82196996160*c_1010_7^12 - 1889190188347/82196996160*c_1010_7^11 + 2389886469191/82196996160*c_1010_7^10 - 1466547259399/27398998720*c_1010_7^9 + 5226456942313/82196996160*c_1010_7^8 + 6479661057/1712437420*c_1010_7^7 + 3275421343763/20549249040*c_1010_7^6 + 2546586987303/13699499360*c_1010_7^5 + 10946445995437/41098498080*c_1010_7^4 + 46102499749/193860840*c_1010_7^3 + 215712691441/1284328065*c_1010_7^2 + 523777393571/6849749680*c_1010_7 + 119921390279/6849749680, c_0011_12 - 666846909/5479799744*c_1010_7^15 + 1304269123/5479799744*c_1010_7^14 - 42350785871/16439399232*c_1010_7^13 - 699391389/5479799744*c_1010_7^12 - 292512628009/16439399232*c_1010_7^11 - 440066146453/16439399232*c_1010_7^10 - 1341562910059/16439399232*c_1010_7^9 - 842060491021/5479799744*c_1010_7^8 - 495590800837/2054924904*c_1010_7^7 - 465089071875/1369949936*c_1010_7^6 - 2926404074585/8219699616*c_1010_7^5 - 875995661553/2739899872*c_1010_7^4 - 8089451287/38772168*c_1010_7^3 - 50522305675/513731226*c_1010_7^2 - 103003337549/4109849808*c_1010_7 - 1450689697/1369949936, c_0011_4 + 2209537361/10274624520*c_1010_7^15 - 606131301/3424874840*c_1010_7^14 + 2696669103/684974968*c_1010_7^13 + 59465020603/10274624520*c_1010_7^12 + 291644035871/10274624520*c_1010_7^11 + 883110043087/10274624520*c_1010_7^10 + 598593035567/3424874840*c_1010_7^9 + 1463348207617/3424874840*c_1010_7^8 + 277922180333/428109355*c_1010_7^7 + 426758716476/428109355*c_1010_7^6 + 5795502146623/5137312260*c_1010_7^5 + 5634056057299/5137312260*c_1010_7^4 + 6642702371/8077535*c_1010_7^3 + 597244900111/1284328065*c_1010_7^2 + 451710716591/2568656130*c_1010_7 + 28502779053/856218710, c_0011_6 - 409278061/5479799744*c_1010_7^15 + 4417372463/16439399232*c_1010_7^14 - 30159227483/16439399232*c_1010_7^13 + 42151014739/16439399232*c_1010_7^12 - 61237137083/5479799744*c_1010_7^11 + 11353478095/5479799744*c_1010_7^10 - 433917851647/16439399232*c_1010_7^9 - 180768474253/16439399232*c_1010_7^8 - 6724348763/1027462452*c_1010_7^7 + 112235391337/4109849808*c_1010_7^6 + 757193542015/8219699616*c_1010_7^5 + 1085661776783/8219699616*c_1010_7^4 + 5867724679/38772168*c_1010_7^3 + 9920590659/85621871*c_1010_7^2 + 249155606347/4109849808*c_1010_7 + 22011686669/1369949936, c_0011_7 + 30419713133/82196996160*c_1010_7^15 - 22249560933/27398998720*c_1010_7^14 + 44550236891/5479799744*c_1010_7^13 - 149574434471/82196996160*c_1010_7^12 + 4680219401363/82196996160*c_1010_7^11 + 5437975889731/82196996160*c_1010_7^10 + 6837828777491/27398998720*c_1010_7^9 + 11448183103171/27398998720*c_1010_7^8 + 2406312862469/3424874840*c_1010_7^7 + 6522648587421/6849749680*c_1010_7^6 + 42186130366699/41098498080*c_1010_7^5 + 38340408715597/41098498080*c_1010_7^4 + 40948240983/64620280*c_1010_7^3 + 847730843917/2568656130*c_1010_7^\ 2 + 2107672035623/20549249040*c_1010_7 + 123593158479/6849749680, c_0101_0 + 876618427/16439399232*c_1010_7^15 - 1243107331/16439399232*c_1010_7^14 + 17248476679/16439399232*c_1010_7^13 + 4042175411/5479799744*c_1010_7^12 + 119185918189/16439399232*c_1010_7^11 + 272508312119/16439399232*c_1010_7^10 + 625920783515/16439399232*c_1010_7^9 + 1418299125881/16439399232*c_1010_7^8 + 65816390051/513731226*c_1010_7^7 + 801034344715/4109849808*c_1010_7^6 + 575299773111/2739899872*c_1010_7^5 + 1655038846525/8219699616*c_1010_7^4 + 5553605425/38772168*c_1010_7^3 + 19824621136/256865613*c_1010_7^2 + 104435338025/4109849808*c_1010_7 + 4510148151/1369949936, c_0101_7 + 18503927/96930420*c_1010_7^15 - 20965973/48465210*c_1010_7^14 + 20884009/4846521*c_1010_7^13 - 296999633/193860840*c_1010_7^12 + 1532401751/48465210*c_1010_7^11 + 469932429/16155070*c_1010_7^10 + 13736322757/96930420*c_1010_7^9 + 39555848449/193860840*c_1010_7^8 + 9658400276/24232605*c_1010_7^7 + 48167127853/96930420*c_1010_7^6 + 4756084556/8077535*c_1010_7^5 + 16832817527/32310140*c_1010_7^4 + 3082693962/8077535*c_1010_7^3 + 3264482941/16155070*c_1010_7^2 + 1763495812/24232605*c_1010_7 + 214424827/16155070, c_1001_0 - 1, c_1001_2 + 94491717/684974968*c_1010_7^15 - 149372761/342487484*c_1010_7^14 + 7033437215/2054924904*c_1010_7^13 - 668456393/171243742*c_1010_7^12 + 49923147721/2054924904*c_1010_7^11 + 1836962675/1027462452*c_1010_7^10 + 177534137503/2054924904*c_1010_7^9 + 12037516329/171243742*c_1010_7^8 + 45142934980/256865613*c_1010_7^7 + 28236797269/171243742*c_1010_7^6 + 187767315707/1027462452*c_1010_7^5 + 21485315991/171243742*c_1010_7^4 + 328382527/4846521*c_1010_7^3 + 4754726980/256865613*c_1010_7^2 - 803015911/513731226*c_1010_7 - 106659359/85621871, c_1001_3 + 80170303/342487484*c_1010_7^15 - 498908965/1027462452*c_1010_7^14 + 10433413187/2054924904*c_1010_7^13 - 1125507073/2054924904*c_1010_7^12 + 6143880679/171243742*c_1010_7^11 + 7814780911/171243742*c_1010_7^10 + 335319683275/2054924904*c_1010_7^9 + 572856329875/2054924904*c_1010_7^8 + 488113931161/1027462452*c_1010_7^7 + 657486582997/1027462452*c_1010_7^6 + 729330426413/1027462452*c_1010_7^5 + 657765178417/1027462452*c_1010_7^4 + 4363353475/9693042*c_1010_7^3 + 39922147751/171243742*c_1010_7^2 + 40464681209/513731226*c_1010_7 + 2187416697/171243742, c_1010_7^16 - 2*c_1010_7^15 + 22*c_1010_7^14 - 2*c_1010_7^13 + 164*c_1010_7^12 + 198*c_1010_7^11 + 788*c_1010_7^10 + 1282*c_1010_7^9 + 2413*c_1010_7^8 + 3236*c_1010_7^7 + 3930*c_1010_7^6 + 3744*c_1010_7^5 + 2970*c_1010_7^4 + 1800*c_1010_7^3 + 812*c_1010_7^2 + 240*c_1010_7 + 36 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB