Invariants
| Level: | $40$ | $\SL_2$-level: | $20$ | Newform level: | $40$ | ||
| Index: | $144$ | $\PSL_2$-index: | $72$ | ||||
| Genus: | $3 = 1 + \frac{ 72 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
| Cusps: | $8$ (all of which are rational) | Cusp widths | $2^{2}\cdot4^{2}\cdot10^{2}\cdot20^{2}$ | Cusp orbits | $1^{8}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $8$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 20J3 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 40.144.3.755 |
Level structure
| $\GL_2(\Z/40\Z)$-generators: | $\begin{bmatrix}11&20\\28&33\end{bmatrix}$, $\begin{bmatrix}17&34\\0&21\end{bmatrix}$, $\begin{bmatrix}25&34\\8&31\end{bmatrix}$, $\begin{bmatrix}27&16\\4&39\end{bmatrix}$, $\begin{bmatrix}29&14\\0&3\end{bmatrix}$, $\begin{bmatrix}35&2\\12&5\end{bmatrix}$, $\begin{bmatrix}35&16\\24&7\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 20.72.3.b.1 for the level structure with $-I$) |
| Cyclic 40-isogeny field degree: | $2$ |
| Cyclic 40-torsion field degree: | $32$ |
| Full 40-torsion field degree: | $5120$ |
Jacobian
| Conductor: | $2^{7}\cdot5^{3}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{3}$ |
| Newforms: | 20.2.a.a$^{2}$, 40.2.a.a |
Models
Embedded model Embedded model in $\mathbb{P}^{4}$
| $ 0 $ | $=$ | $ x z w + y z^{2} - z^{3} - z w^{2} $ |
| $=$ | $x y w + y^{2} z - y z^{2} - y w^{2}$ | |
| $=$ | $x w t + y z t - z^{2} t - w^{2} t$ | |
| $=$ | $x^{2} w + x y z - x z^{2} - x w^{2}$ | |
| $=$ | $\cdots$ |
Singular plane model Singular plane model
| $ 0 $ | $=$ | $ x^{4} y - x^{4} z - 5 x^{3} y^{2} + 6 x^{3} y z + x^{3} z^{2} - 10 x^{2} y z^{2} + 8 x y z^{3} - 4 y z^{4} $ |
Weierstrass model Weierstrass model
| $ y^{2} + \left(x^{4} + 1\right) y $ | $=$ | $ 2x^{6} - x^{4} + 2x^{2} $ |
Rational points
This modular curve has 8 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.
| Embedded model |
|---|
| $(2:0:0:2:1)$, $(1:1:1:0:0)$, $(0:1:0:0:0)$, $(1:-1:0:1:0)$, $(1:-1:-1:0:1)$, $(1:1:0:1:1)$, $(0:1:1:0:0)$, $(0:0:0:0:1)$ |
Maps to other modular curves
$j$-invariant map of degree 72 from the embedded model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle -\frac{12800xz^{10}-4034560xz^{9}t+21305600xz^{8}t^{2}-34198080xz^{7}t^{3}-2117570560xz^{6}t^{4}+6128313952xz^{5}t^{5}-19451758056xz^{4}t^{6}+14932369752xz^{3}t^{7}+14981221944xz^{2}t^{8}-175743804755xzt^{9}+52220107670xw^{2}t^{8}-27694854835xwt^{9}+33914880xt^{10}-38400y^{11}+972800y^{10}w-6342400y^{10}t-985600y^{9}w^{2}-15059200y^{9}wt+89740800y^{9}t^{2}-7782400y^{8}w^{3}+52556800y^{8}w^{2}t-52537600y^{8}wt^{2}-286536000y^{8}t^{3}+49120000y^{7}w^{3}t-266220800y^{7}w^{2}t^{2}+517137600y^{7}wt^{3}+351201600y^{7}t^{4}-80560000y^{6}w^{3}t^{2}+511148800y^{6}w^{2}t^{3}-1299209600y^{6}wt^{4}-473226000y^{6}t^{5}-117009600y^{5}w^{3}t^{3}-488671200y^{5}w^{2}t^{4}+2248835600y^{5}wt^{5}-99823800y^{5}t^{6}+603278400y^{4}w^{3}t^{4}+188439136y^{4}w^{2}t^{5}-2196583072y^{4}wt^{6}+174951996y^{4}t^{7}-1638575680y^{3}w^{3}t^{5}+224499368y^{3}w^{2}t^{6}+1874680488y^{3}wt^{7}+9132551194y^{3}t^{8}+2531392208y^{2}w^{3}t^{6}-3016506516y^{2}w^{2}t^{7}-9834136706y^{2}wt^{8}+11889126709y^{2}t^{9}+2352218848yw^{3}t^{7}+21829028880yw^{2}t^{8}-45849335452ywt^{9}+101065897242yt^{10}-14848z^{11}+3904256z^{10}t-36303360z^{9}t^{2}+186738560z^{8}t^{3}-1094923840z^{7}t^{4}+8636607280z^{6}t^{5}-26429777424z^{5}t^{6}+76428306028z^{4}t^{7}-119369075946z^{3}t^{8}+123192512386z^{2}t^{9}-179687969984zwt^{9}+404318508136zt^{10}+7116800w^{11}-81004800w^{10}t+472534400w^{9}t^{2}-1763006400w^{8}t^{3}+4494724000w^{7}t^{4}-8796563616w^{6}t^{5}+12305142416w^{5}t^{6}-2773634576w^{4}t^{7}-14589418466w^{3}t^{8}-33421138814w^{2}t^{9}-70366269166wt^{10}-6619136t^{11}}{t^{2}(40448xz^{8}-743936xz^{7}t+8067328xz^{6}t^{2}-69590592xz^{5}t^{3}+536553904xz^{4}t^{4}-3882072996xz^{3}t^{5}+26391596614xz^{2}t^{6}-154938202385xzt^{7}+10970297282xw^{2}t^{6}+52308631920xwt^{7}-1200y^{6}t^{3}+36400y^{5}wt^{3}+597800y^{5}t^{4}-206800y^{4}w^{2}t^{3}-1860200y^{4}wt^{4}-15495144y^{4}t^{5}+596800y^{3}w^{3}t^{3}+6275800y^{3}w^{2}t^{4}+59424720y^{3}wt^{5}+579783766y^{3}t^{6}-16446400y^{2}w^{3}t^{4}-144555132y^{2}w^{2}t^{5}-1153618252y^{2}wt^{6}-3572408392y^{2}t^{7}+366886148yw^{3}t^{5}+3012245694yw^{2}t^{6}+12859988239ywt^{7}+24664112626yt^{8}-80896z^{8}t+1531648z^{7}t^{2}-16925712z^{6}t^{3}+147377240z^{5}t^{4}-1130326692z^{4}t^{5}+7597008424z^{3}t^{6}-49444768159z^{2}t^{7}+61999321176zwt^{7}+98656450504zt^{8}+841200w^{6}t^{3}+22373400w^{5}t^{4}+527624344w^{4}t^{5}-7064686118w^{3}t^{6}-31435157547w^{2}t^{7}-61975280954wt^{8})}$ |
Map of degree 1 from the embedded model of this modular curve to the plane model of the modular curve 20.72.3.b.1 :
| $\displaystyle X$ | $=$ | $\displaystyle x$ |
| $\displaystyle Y$ | $=$ | $\displaystyle \frac{1}{5}w$ |
| $\displaystyle Z$ | $=$ | $\displaystyle t$ |
Equation of the image curve:
| $0$ | $=$ | $ X^{4}Y-5X^{3}Y^{2}-X^{4}Z+6X^{3}YZ+X^{3}Z^{2}-10X^{2}YZ^{2}+8XYZ^{3}-4YZ^{4} $ |
Map of degree 1 from the embedded model of this modular curve to the Weierstrass model of the modular curve 20.72.3.b.1 :
| $\displaystyle X$ | $=$ | $\displaystyle -x+t$ |
| $\displaystyle Y$ | $=$ | $\displaystyle -x^{3}w+5x^{3}t-8x^{2}t^{2}+6xt^{3}-3t^{4}$ |
| $\displaystyle Z$ | $=$ | $\displaystyle t$ |
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 40.24.0-4.b.1.11 | $40$ | $6$ | $6$ | $0$ | $0$ | full Jacobian |
| 40.72.1-10.a.1.1 | $40$ | $2$ | $2$ | $1$ | $0$ | $1^{2}$ |
| 40.72.1-20.c.1.3 | $40$ | $2$ | $2$ | $1$ | $0$ | $1^{2}$ |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 40.288.5-20.b.1.29 | $40$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 40.288.5-20.b.2.23 | $40$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 40.288.5-20.d.1.9 | $40$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 40.288.5-20.d.2.4 | $40$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 40.288.5-40.e.1.16 | $40$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 40.288.5-40.e.2.12 | $40$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 40.288.5-40.k.1.12 | $40$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 40.288.5-40.k.2.4 | $40$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 40.288.7-20.b.1.3 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.288.7-40.c.1.10 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.288.7-20.e.1.5 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.288.7-40.h.1.12 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.288.7-20.j.1.14 | $40$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 40.288.7-20.j.2.12 | $40$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 40.288.7-40.o.1.15 | $40$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 40.288.7-40.o.2.9 | $40$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 40.288.7-40.p.1.18 | $40$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 40.288.7-40.p.2.12 | $40$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 40.288.7-40.q.1.12 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.q.2.14 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.r.1.16 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.r.2.7 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.s.1.11 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.s.2.14 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.s.3.6 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.s.4.12 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.t.1.9 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.t.2.10 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.t.3.2 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.t.4.4 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.u.1.14 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.u.2.5 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.v.1.11 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.v.2.10 | $40$ | $2$ | $2$ | $7$ | $0$ | $4$ |
| 40.288.7-40.ba.1.16 | $40$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 40.288.7-40.ba.2.8 | $40$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 40.288.7-40.bm.1.11 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.288.7-40.bn.1.9 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.288.7-40.bq.1.17 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.288.7-40.br.1.21 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.288.9-40.c.1.11 | $40$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 40.288.9-40.d.1.10 | $40$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 40.288.9-40.g.1.11 | $40$ | $2$ | $2$ | $9$ | $3$ | $1^{4}\cdot2$ |
| 40.288.9-40.h.1.12 | $40$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 40.288.9-40.k.1.11 | $40$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 40.288.9-40.k.2.9 | $40$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 40.288.9-40.l.1.14 | $40$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 40.288.9-40.l.2.10 | $40$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 40.720.19-20.b.1.5 | $40$ | $5$ | $5$ | $19$ | $1$ | $1^{16}$ |
| 120.288.5-60.bd.1.24 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.288.5-60.bd.2.21 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.288.5-60.bf.1.24 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.288.5-60.bf.2.21 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.288.5-120.dk.1.23 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.288.5-120.dk.2.11 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.288.5-120.dq.1.27 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.288.5-120.dq.2.19 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.288.7-60.r.1.16 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-60.ba.1.18 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.ct.1.65 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.ei.1.45 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-60.el.1.28 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-60.el.2.24 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yl.1.43 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yl.2.38 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.ym.1.43 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.ym.2.39 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yn.1.44 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yn.2.19 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yo.1.38 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yo.2.27 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yp.1.45 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yp.2.43 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yp.3.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yp.4.10 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yq.1.43 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yq.2.39 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yq.3.18 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yq.4.4 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yr.1.36 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.yr.2.23 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.ys.1.44 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.ys.2.7 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bcr.1.31 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bcr.2.23 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.beb.1.35 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bec.1.37 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.bef.1.42 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.7-120.beg.1.43 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.288.9-120.is.1.9 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.it.1.11 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.li.1.17 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.lj.1.19 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.bcc.1.7 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.bcc.2.13 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.bcd.1.7 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.288.9-120.bcd.2.13 | $120$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 120.432.15-60.b.1.89 | $120$ | $3$ | $3$ | $15$ | $?$ | not computed |
| 280.288.5-140.j.1.17 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.288.5-140.j.2.14 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.288.5-140.l.1.18 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.288.5-140.l.2.16 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.288.5-280.bc.1.27 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.288.5-280.bc.2.19 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.288.5-280.bi.1.23 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.288.5-280.bi.2.19 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.288.7-140.e.1.18 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.g.1.38 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-140.h.1.22 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.n.1.46 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-140.o.1.22 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-140.o.2.12 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.be.1.38 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.be.2.36 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bf.1.40 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bf.2.40 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bg.1.39 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bg.2.17 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bh.1.37 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bh.2.25 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bi.1.45 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bi.2.43 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bi.3.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bi.4.10 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bj.1.43 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bj.2.39 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bj.3.10 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bj.4.4 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bk.1.35 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bk.2.21 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bl.1.39 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bl.2.5 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bq.1.31 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.bq.2.15 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.cc.1.35 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.cd.1.37 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.cg.1.35 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.7-280.ch.1.37 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.288.9-280.c.1.18 | $280$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 280.288.9-280.d.1.19 | $280$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 280.288.9-280.g.1.18 | $280$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 280.288.9-280.h.1.19 | $280$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 280.288.9-280.k.1.13 | $280$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 280.288.9-280.k.2.13 | $280$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 280.288.9-280.l.1.13 | $280$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 280.288.9-280.l.2.13 | $280$ | $2$ | $2$ | $9$ | $?$ | not computed |