Invariants
| Level: | $28$ | $\SL_2$-level: | $28$ | Newform level: | $196$ | ||
| Index: | $252$ | $\PSL_2$-index: | $126$ | ||||
| Genus: | $7 = 1 + \frac{ 126 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 9 }{2}$ | ||||||
| Cusps: | $9$ (none of which are rational) | Cusp widths | $7^{6}\cdot28^{3}$ | Cusp orbits | $3^{3}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $4$ | ||||||
| $\overline{\Q}$-gonality: | $4$ | ||||||
| Rational cusps: | $0$ | ||||||
| Rational CM points: | yes $\quad(D =$ $-4,-16$) |
Other labels
| Cummins and Pauli (CP) label: | 28B7 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 28.252.7.22 |
Level structure
| $\GL_2(\Z/28\Z)$-generators: | $\begin{bmatrix}3&26\\0&11\end{bmatrix}$, $\begin{bmatrix}13&21\\0&27\end{bmatrix}$, $\begin{bmatrix}23&20\\16&5\end{bmatrix}$, $\begin{bmatrix}27&9\\16&21\end{bmatrix}$ |
| $\GL_2(\Z/28\Z)$-subgroup: | $C_{12}.D_4^2$ |
| Contains $-I$: | no $\quad$ (see 28.126.7.c.1 for the level structure with $-I$) |
| Cyclic 28-isogeny field degree: | $8$ |
| Cyclic 28-torsion field degree: | $96$ |
| Full 28-torsion field degree: | $768$ |
Jacobian
| Conductor: | $2^{10}\cdot7^{14}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1\cdot2^{3}$ |
| Newforms: | 98.2.a.b$^{2}$, 196.2.a.b, 196.2.a.c |
Models
Canonical model in $\mathbb{P}^{ 6 }$ defined by 10 equations
| $ 0 $ | $=$ | $ - x t + y w - y u - y v - 2 z t - w^{2} + w u + w v $ |
| $=$ | $x^{2} - 2 x y - x w + x u + y u - 4 z w + 2 z u + w u - u^{2}$ | |
| $=$ | $x w - x u - x v - y w + y t + y u + y v - 2 z w - 2 z t + 2 z u + 2 z v + w^{2} - w t - w v - 3 t u + \cdots - u v$ | |
| $=$ | $x^{2} - x y - 2 x z - y w + y u + 2 z w + w^{2} + 3 w u - 2 u^{2}$ | |
| $=$ | $\cdots$ |
Singular plane model Singular plane model
| $ 0 $ | $=$ | $ 9653 x^{12} - 122500 x^{11} y + 349468 x^{10} y^{2} + 122304 x^{10} z^{2} + 2497873 x^{9} y^{3} + \cdots + 4 y^{6} z^{6} $ |
Rational points
This modular curve has 2 rational CM points but no rational cusps or other known rational points.
Maps to other modular curves
$j$-invariant map of degree 126 from the canonical model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle 2\,\frac{6323385619262777xtu^{9}+220559651054127826xtu^{8}v+794872529362819100xtu^{7}v^{2}+1102794098489080536xtu^{6}v^{3}+452313116297908432xtu^{5}v^{4}-203223357343871200xtu^{4}v^{5}+135915532524645440xtu^{3}v^{6}+377359201626958656xtu^{2}v^{7}+30086962902724620xtuv^{8}-73151026668763612xtv^{9}-26757465566987562xu^{10}-845735017944611525xu^{9}v-4025868288772680831xu^{8}v^{2}-8060551390585096432xu^{7}v^{3}-7241792319533097900xu^{6}v^{4}-1624883181406526832xu^{5}v^{5}+364127878731819888xu^{4}v^{6}-2192408341140836928xu^{3}v^{7}-2089980090775728384xu^{2}v^{8}+94633299659601768xuv^{9}+391325928638914280xv^{10}+49659804362478920ytu^{9}+1529708598843812912ytu^{8}v+5611619009433947008ytu^{7}v^{2}+7868006278843872448ytu^{6}v^{3}+3266958396986200224ytu^{5}v^{4}-1349465019119877184ytu^{4}v^{5}+1087551920600849536ytu^{3}v^{6}+2760860344450117056ytu^{2}v^{7}+232785733734205752ytuv^{8}-538777862838107348ytv^{9}+43018143932989011yu^{10}+1575483286162799722yu^{9}v+8045220731286366923yu^{8}v^{2}+17288869610061275012yu^{7}v^{3}+17145700576417338912yu^{6}v^{4}+5063065442572369456yu^{5}v^{5}-1149522878428595552yu^{4}v^{6}+4151879587572226816yu^{3}v^{7}+4999339383947628740yu^{2}v^{8}+36905011535227200yuv^{9}-967551922692992068yv^{10}+61556272710425120ztu^{9}+2633113989059830352ztu^{8}v+11133882569910576048ztu^{7}v^{2}+18458650784294768768ztu^{6}v^{3}+11328550693252189824ztu^{5}v^{4}-1589462564431095424ztu^{4}v^{5}+298154860484952576ztu^{3}v^{6}+6411331791882349696ztu^{2}v^{7}+1629799199365149952ztuv^{8}-1548131621436455448ztv^{9}+65621757613924878zu^{10}+1897778264413927232zu^{9}v+7387376741790923438zu^{8}v^{2}+11821368469133593000zu^{7}v^{3}+7387128248584960848zu^{6}v^{4}-162714165633022304zu^{5}v^{5}+485660766471755392zu^{4}v^{6}+3715850905803356416zu^{3}v^{7}+1907028749953019096zu^{2}v^{8}-366120518254678344zuv^{9}-371229288538264744zv^{10}+34486699472791429wtu^{9}+1087886773005476526wtu^{8}v+3361115429081588596wtu^{7}v^{2}+3676777251017437448wtu^{6}v^{3}+435821281750552432wtu^{5}v^{4}-957767598978244768wtu^{4}v^{5}+1190955726031831872wtu^{3}v^{6}+1103259798926491904wtu^{2}v^{7}-287111783219486196wtuv^{8}-108274867480246400wtv^{9}-66226053396293312wu^{10}-1868542290812105857wu^{9}v-5826692537525135817wu^{8}v^{2}-6193121352426583032wu^{7}v^{3}+274146381590270644wu^{6}v^{4}+3265961946805668656wu^{5}v^{5}-1545904213656737872wu^{4}v^{6}-2435594494202568128wu^{3}v^{7}+517119509157190880wu^{2}v^{8}+438007094556336508wuv^{9}-58134048410550948wv^{10}-2962512381010756t^{3}u^{8}-183396246693680384t^{3}u^{7}v-532416973038330464t^{3}u^{6}v^{2}-585051975278630272t^{3}u^{5}v^{3}-214057430831998208t^{3}u^{4}v^{4}-24579991475493888t^{3}u^{3}v^{5}-137912862019419648t^{3}u^{2}v^{6}-65219345651762176t^{3}uv^{7}+37650118418185504t^{3}v^{8}+58947801987663697t^{2}u^{9}+1452206386199194302t^{2}u^{8}v+3941298752282542124t^{2}u^{7}v^{2}+3053981646614213000t^{2}u^{6}v^{3}-1667199942181516176t^{2}u^{5}v^{4}-1691377241432895072t^{2}u^{4}v^{5}+2178161554487229248t^{2}u^{3}v^{6}+940597889556449984t^{2}u^{2}v^{7}-822807922789283204t^{2}uv^{8}+63346079325106404t^{2}v^{9}-138549284131673127tu^{10}-3930472756997588714tu^{9}v-13996159831325774696tu^{8}v^{2}-18828086731975820824tu^{7}v^{3}-6598098727997459004tu^{6}v^{4}+4235097706059022768tu^{5}v^{5}-2759679756944856816tu^{4}v^{6}-6731300570474921152tu^{3}v^{7}-534483753954538060tu^{2}v^{8}+1198454488730564040tuv^{9}+63937154622562956tv^{10}-27659584253414449u^{11}-965292470344713754u^{10}v-4915359744639768163u^{9}v^{2}-10540877759901375186u^{8}v^{3}-10426451303822752932u^{7}v^{4}-3096927955308363260u^{6}v^{5}+616887388970118112u^{5}v^{6}-2583662680756896816u^{4}v^{7}-3037809746779855060u^{3}v^{8}-20840507472050756u^{2}v^{9}+584532185137028144uv^{10}+1742487372721504v^{11}}{98353832854378xtu^{9}+189210779752512xtu^{8}v+31485656699566152xtu^{7}v^{2}+235085985135137584xtu^{6}v^{3}+849629610728445344xtu^{5}v^{4}+1825168388992681936xtu^{4}v^{5}+2429959509980136904xtu^{3}v^{6}+1962709391739443116xtu^{2}v^{7}+878960991124284925xtuv^{8}+166856004054913539xtv^{9}-420722377336063xu^{10}-3776898037832228xu^{9}v-139237738971439357xu^{8}v^{2}-1136222654228100248xu^{7}v^{3}-4669319434672120256xu^{6}v^{4}-11732482358240022176xu^{5}v^{5}-19138165163972870176xu^{4}v^{6}-20393759660800521376xu^{3}v^{7}-13718206873444841192xu^{2}v^{8}-5292032520466999946xuv^{9}-892924158334868930xv^{10}+777429214565085ytu^{9}+5565938101703658ytu^{8}v+250653852528783280ytu^{7}v^{2}+1794377258684900512ytu^{6}v^{3}+6391323124414862816ytu^{5}v^{4}+13592457634166404000ytu^{4}v^{5}+17960593726806377696ytu^{3}v^{6}+14437954737136874160ytu^{2}v^{7}+6456855208121648846ytuv^{8}+1229337092258016281ytv^{9}+669134535646074yu^{10}+2630674260462482yu^{9}v+218464041160786104yu^{8}v^{2}+1984024883602062736yu^{7}v^{3}+8645693460686720816yu^{6}v^{4}+22815783961626521264yu^{5}v^{5}+39027182332834711624yu^{4}v^{6}+43618967253016470044yu^{3}v^{7}+30787248106296615347yu^{2}v^{8}+12465535810709172820yuv^{9}+2207685507700209381yv^{10}+937580132473170ztu^{9}-5570685253376612ztu^{8}v+299347008612516160ztu^{7}v^{2}+2664375664743373952ztu^{6}v^{3}+10621001731890003776ztu^{5}v^{4}+24934709854130872320ztu^{4}v^{5}+36450500030913664416ztu^{3}v^{6}+32617171721203283760ztu^{2}v^{7}+16369474376873860376ztuv^{8}+3532678309303448446ztv^{9}+1035347003667882zu^{10}+10584125128251120zu^{9}v+342170679010368052zu^{8}v^{2}+2464801924298702784zu^{7}v^{3}+9141177700999032416zu^{6}v^{4}+20714086251097465632zu^{5}v^{5}+30178364016905802320zu^{4}v^{6}+28398406639891755672zu^{3}v^{7}+16727148733072937994zu^{2}v^{8}+5647819976548868898zuv^{9}+846975787039053938zv^{10}+540803844603296wtu^{9}+2557762168271020wtu^{8}v+171619988333972504wtu^{7}v^{2}+1150576189112081872wtu^{6}v^{3}+3813395236323260000wtu^{5}v^{4}+7430682368787219472wtu^{4}v^{5}+8733184635133597240wtu^{3}v^{6}+5942314932882132212wtu^{2}v^{7}+2056052947168768897wtuv^{8}+246916177143000480wtv^{9}-1044899445769388wu^{10}-9955158975248976wu^{9}v-343932769729846209wu^{8}v^{2}-2255978870184159240wu^{7}v^{3}-7529427278081928800wu^{6}v^{4}-14907465601952975520wu^{5}v^{5}-17892911788385558512wu^{4}v^{6}-12410570326645007080wu^{3}v^{7}-4188932397462571468wu^{2}v^{8}-237029131073449351wuv^{9}+132944796346995741wv^{10}-46805025522864t^{3}u^{8}+1839903056691840t^{3}u^{7}v-9575280313588416t^{3}u^{6}v^{2}-87978841889539328t^{3}u^{5}v^{3}-292198959259495680t^{3}u^{4}v^{4}-543130320163973248t^{3}u^{3}v^{5}-589080017139911360t^{3}u^{2}v^{6}-347576377515755808t^{3}uv^{7}-86241155441690088t^{3}v^{8}+940699435848663t^{2}u^{9}+11778089006091286t^{2}u^{8}v+299509658156359032t^{2}u^{7}v^{2}+1796267645831081360t^{2}u^{6}v^{3}+5538471133562303552t^{2}u^{5}v^{4}+9930016010658706256t^{2}u^{4}v^{5}+10316033639191223272t^{2}u^{3}v^{6}+5603798187098864796t^{2}u^{2}v^{7}+1045280408157691633t^{2}uv^{8}-144934379905914733t^{2}v^{9}-2184734324522318tu^{10}-21823883103321209tu^{9}v-710619539913380533tu^{8}v^{2}-4893314078055853072tu^{7}v^{3}-17130724059350683712tu^{6}v^{4}-35972736229252720688tu^{5}v^{5}-47044986902316084248tu^{4}v^{6}-37626390165089657668tu^{3}v^{7}-17037580622622075249tu^{2}v^{8}-3555173459144035270tuv^{9}-145558488719304927tv^{10}-432642029081381u^{11}-2513071428219062u^{10}v-141151754153706454u^{9}v^{2}-1248962852567866669u^{8}v^{3}-5388247940299424664u^{7}v^{4}-14123777728493291488u^{6}v^{5}-24029705249262104952u^{5}v^{6}-26742572886837947972u^{4}v^{7}-18819504686801987379u^{3}v^{8}-7613730546623463899u^{2}v^{9}-1356493507835327388uv^{10}-3978694430843128v^{11}}$ |
Map of degree 1 from the canonical model of this modular curve to the plane model of the modular curve 28.126.7.c.1 :
| $\displaystyle X$ | $=$ | $\displaystyle x$ |
| $\displaystyle Y$ | $=$ | $\displaystyle y$ |
| $\displaystyle Z$ | $=$ | $\displaystyle 7t$ |
Equation of the image curve:
| $0$ | $=$ | $ 9653X^{12}-122500X^{11}Y+349468X^{10}Y^{2}+122304X^{10}Z^{2}+2497873X^{9}Y^{3}-26852X^{9}YZ^{2}-23839235X^{8}Y^{4}-2880416X^{8}Y^{2}Z^{2}-23716X^{8}Z^{4}+89202393X^{7}Y^{5}+10473260X^{7}Y^{3}Z^{2}+166012X^{7}YZ^{4}-188790973X^{6}Y^{6}-16521624X^{6}Y^{4}Z^{2}-475937X^{6}Y^{2}Z^{4}+4X^{6}Z^{6}+241526047X^{5}Y^{7}+13212360X^{5}Y^{5}Z^{2}+711480X^{5}Y^{3}Z^{4}+40X^{5}YZ^{6}-184364754X^{4}Y^{8}-5070912X^{4}Y^{6}Z^{2}-585550X^{4}Y^{4}Z^{4}+36X^{4}Y^{2}Z^{6}+77763735X^{3}Y^{9}+782824X^{3}Y^{7}Z^{2}+259504X^{3}Y^{5}Z^{4}-312X^{3}Y^{3}Z^{6}-15528051X^{2}Y^{10}-111524X^{2}Y^{8}Z^{2}-58065X^{2}Y^{6}Z^{4}+296X^{2}Y^{4}Z^{6}+1412964XY^{11}+16856XY^{9}Z^{2}+5684XY^{7}Z^{4}-64XY^{5}Z^{6}-47628Y^{12}-980Y^{10}Z^{2}-196Y^{8}Z^{4}+4Y^{6}Z^{6} $ |
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 28.12.0-4.c.1.2 | $28$ | $21$ | $21$ | $0$ | $0$ | full Jacobian |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 28.504.13-28.i.1.4 | $28$ | $2$ | $2$ | $13$ | $1$ | $1^{6}$ |
| 28.504.13-28.j.1.4 | $28$ | $2$ | $2$ | $13$ | $6$ | $1^{6}$ |
| 28.504.13-28.m.1.6 | $28$ | $2$ | $2$ | $13$ | $0$ | $1^{6}$ |
| 28.504.13-28.n.1.4 | $28$ | $2$ | $2$ | $13$ | $3$ | $1^{6}$ |
| 28.504.16-28.b.1.4 | $28$ | $2$ | $2$ | $16$ | $1$ | $1^{3}\cdot2^{3}$ |
| 28.504.16-28.p.1.1 | $28$ | $2$ | $2$ | $16$ | $4$ | $1^{3}\cdot2^{3}$ |
| 28.504.16-28.s.1.2 | $28$ | $2$ | $2$ | $16$ | $2$ | $1^{3}\cdot2^{3}$ |
| 28.504.16-28.t.1.1 | $28$ | $2$ | $2$ | $16$ | $3$ | $1^{3}\cdot2^{3}$ |
| 28.504.16-28.w.1.4 | $28$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 28.504.16-28.x.1.4 | $28$ | $2$ | $2$ | $16$ | $1$ | $1^{7}\cdot2$ |
| 28.504.16-28.ba.1.4 | $28$ | $2$ | $2$ | $16$ | $3$ | $1^{7}\cdot2$ |
| 28.504.16-28.bb.1.4 | $28$ | $2$ | $2$ | $16$ | $3$ | $1^{7}\cdot2$ |
| 56.504.13-56.be.1.7 | $56$ | $2$ | $2$ | $13$ | $6$ | $1^{6}$ |
| 56.504.13-56.bh.1.7 | $56$ | $2$ | $2$ | $13$ | $0$ | $1^{6}$ |
| 56.504.13-56.bq.1.7 | $56$ | $2$ | $2$ | $13$ | $3$ | $1^{6}$ |
| 56.504.13-56.bt.1.7 | $56$ | $2$ | $2$ | $13$ | $1$ | $1^{6}$ |
| 56.504.16-56.j.1.4 | $56$ | $2$ | $2$ | $16$ | $0$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.bu.1.4 | $56$ | $2$ | $2$ | $16$ | $9$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cc.1.4 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cf.1.4 | $56$ | $2$ | $2$ | $16$ | $6$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.ci.1.8 | $56$ | $2$ | $2$ | $16$ | $0$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.ci.1.25 | $56$ | $2$ | $2$ | $16$ | $0$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cj.1.7 | $56$ | $2$ | $2$ | $16$ | $1$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cj.1.42 | $56$ | $2$ | $2$ | $16$ | $1$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.ck.1.7 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.ck.1.26 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cl.1.8 | $56$ | $2$ | $2$ | $16$ | $2$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cl.1.25 | $56$ | $2$ | $2$ | $16$ | $2$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cm.1.14 | $56$ | $2$ | $2$ | $16$ | $0$ | $1^{7}\cdot2$ |
| 56.504.16-56.cm.1.19 | $56$ | $2$ | $2$ | $16$ | $0$ | $1^{7}\cdot2$ |
| 56.504.16-56.cn.1.16 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{7}\cdot2$ |
| 56.504.16-56.cn.1.17 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{7}\cdot2$ |
| 56.504.16-56.co.1.16 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 56.504.16-56.co.1.17 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 56.504.16-56.cp.1.14 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 56.504.16-56.cp.1.19 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 56.504.16-56.cq.1.14 | $56$ | $2$ | $2$ | $16$ | $1$ | $1^{7}\cdot2$ |
| 56.504.16-56.cq.1.19 | $56$ | $2$ | $2$ | $16$ | $1$ | $1^{7}\cdot2$ |
| 56.504.16-56.cr.1.16 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 56.504.16-56.cr.1.17 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 56.504.16-56.cs.1.16 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{7}\cdot2$ |
| 56.504.16-56.cs.1.17 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{7}\cdot2$ |
| 56.504.16-56.ct.1.14 | $56$ | $2$ | $2$ | $16$ | $9$ | $1^{7}\cdot2$ |
| 56.504.16-56.ct.1.19 | $56$ | $2$ | $2$ | $16$ | $9$ | $1^{7}\cdot2$ |
| 56.504.16-56.cu.1.8 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cu.1.25 | $56$ | $2$ | $2$ | $16$ | $3$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cv.1.7 | $56$ | $2$ | $2$ | $16$ | $6$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cv.1.26 | $56$ | $2$ | $2$ | $16$ | $6$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cw.1.7 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cw.1.26 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cx.1.8 | $56$ | $2$ | $2$ | $16$ | $9$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.cx.1.25 | $56$ | $2$ | $2$ | $16$ | $9$ | $1^{3}\cdot2^{3}$ |
| 56.504.16-56.de.1.3 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 56.504.16-56.dh.1.3 | $56$ | $2$ | $2$ | $16$ | $4$ | $1^{7}\cdot2$ |
| 56.504.16-56.dq.1.3 | $56$ | $2$ | $2$ | $16$ | $0$ | $1^{7}\cdot2$ |
| 56.504.16-56.dt.1.3 | $56$ | $2$ | $2$ | $16$ | $9$ | $1^{7}\cdot2$ |
| 84.504.13-84.i.1.8 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 84.504.13-84.j.1.4 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 84.504.13-84.m.1.7 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 84.504.13-84.n.1.4 | $84$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 84.504.16-84.s.1.2 | $84$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 84.504.16-84.t.1.2 | $84$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 84.504.16-84.w.1.2 | $84$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 84.504.16-84.x.1.2 | $84$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 84.504.16-84.ba.1.8 | $84$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 84.504.16-84.bb.1.6 | $84$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 84.504.16-84.be.1.8 | $84$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 84.504.16-84.bf.1.8 | $84$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 140.504.13-140.i.1.2 | $140$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 140.504.13-140.j.1.2 | $140$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 140.504.13-140.m.1.1 | $140$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 140.504.13-140.n.1.2 | $140$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 140.504.16-140.s.1.4 | $140$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 140.504.16-140.t.1.2 | $140$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 140.504.16-140.w.1.2 | $140$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 140.504.16-140.x.1.2 | $140$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 140.504.16-140.ba.1.8 | $140$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 140.504.16-140.bb.1.8 | $140$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 140.504.16-140.be.1.8 | $140$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 140.504.16-140.bf.1.8 | $140$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.13-168.be.1.3 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 168.504.13-168.bh.1.3 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 168.504.13-168.bq.1.3 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 168.504.13-168.bt.1.3 | $168$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 168.504.16-168.cc.1.4 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cf.1.4 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.co.1.4 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cr.1.4 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cu.1.6 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cu.1.59 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cv.1.2 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cv.1.63 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cw.1.6 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cw.1.59 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cx.1.14 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cx.1.51 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cy.1.7 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cy.1.58 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cz.1.15 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.cz.1.50 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.da.1.7 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.da.1.58 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.db.1.3 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.db.1.62 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dc.1.3 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dc.1.62 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dd.1.7 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dd.1.58 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.de.1.15 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.de.1.50 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.df.1.7 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.df.1.58 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dg.1.14 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dg.1.51 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dh.1.6 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dh.1.59 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.di.1.2 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.di.1.63 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dj.1.6 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dj.1.59 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dq.1.3 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.dt.1.3 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.ec.1.3 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 168.504.16-168.ef.1.3 | $168$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.13-280.be.1.2 | $280$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 280.504.13-280.bh.1.2 | $280$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 280.504.13-280.bq.1.2 | $280$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 280.504.13-280.bt.1.2 | $280$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 280.504.16-280.cc.1.4 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cf.1.4 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.co.1.4 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cr.1.4 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cu.1.5 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cu.1.60 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cv.1.13 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cv.1.52 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cw.1.13 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cw.1.52 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cx.1.5 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cx.1.60 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cy.1.8 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cy.1.57 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cz.1.16 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.cz.1.49 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.da.1.16 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.da.1.49 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.db.1.8 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.db.1.57 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dc.1.8 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dc.1.57 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dd.1.16 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dd.1.49 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.de.1.16 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.de.1.49 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.df.1.8 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.df.1.57 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dg.1.5 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dg.1.60 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dh.1.13 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dh.1.52 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.di.1.13 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.di.1.52 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dj.1.5 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dj.1.60 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dq.1.3 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.dt.1.3 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.ec.1.3 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 280.504.16-280.ef.1.3 | $280$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 308.504.13-308.i.1.1 | $308$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 308.504.13-308.j.1.1 | $308$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 308.504.13-308.m.1.1 | $308$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 308.504.13-308.n.1.1 | $308$ | $2$ | $2$ | $13$ | $?$ | not computed |
| 308.504.16-308.s.1.4 | $308$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 308.504.16-308.t.1.2 | $308$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 308.504.16-308.w.1.2 | $308$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 308.504.16-308.x.1.2 | $308$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 308.504.16-308.ba.1.8 | $308$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 308.504.16-308.bb.1.8 | $308$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 308.504.16-308.be.1.8 | $308$ | $2$ | $2$ | $16$ | $?$ | not computed |
| 308.504.16-308.bf.1.8 | $308$ | $2$ | $2$ | $16$ | $?$ | not computed |