Invariants
| Level: | $24$ | $\SL_2$-level: | $24$ | Newform level: | $36$ | ||
| Index: | $72$ | $\PSL_2$-index: | $36$ | ||||
| Genus: | $2 = 1 + \frac{ 36 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 4 }{2}$ | ||||||
| Cusps: | $4$ (all of which are rational) | Cusp widths | $6^{2}\cdot12^{2}$ | Cusp orbits | $1^{4}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $4$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 12B2 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 24.72.2.18 |
Level structure
| $\GL_2(\Z/24\Z)$-generators: | $\begin{bmatrix}1&18\\12&19\end{bmatrix}$, $\begin{bmatrix}7&0\\12&11\end{bmatrix}$, $\begin{bmatrix}9&4\\16&21\end{bmatrix}$, $\begin{bmatrix}11&18\\12&11\end{bmatrix}$, $\begin{bmatrix}13&14\\16&1\end{bmatrix}$, $\begin{bmatrix}17&6\\12&23\end{bmatrix}$, $\begin{bmatrix}23&22\\4&19\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 12.36.2.b.1 for the level structure with $-I$) |
| Cyclic 24-isogeny field degree: | $8$ |
| Cyclic 24-torsion field degree: | $32$ |
| Full 24-torsion field degree: | $1024$ |
Jacobian
| Conductor: | $2^{4}\cdot3^{4}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{2}$ |
| Newforms: | 36.2.a.a$^{2}$ |
Models
Embedded model Embedded model in $\mathbb{P}^{3}$
| $ 0 $ | $=$ | $ x^{2} z - y^{2} w + z^{2} w $ |
| $=$ | $x y w - 4 w^{3}$ | |
| $=$ | $x y z - 4 z w^{2}$ | |
| $=$ | $x y^{2} - 4 y w^{2}$ | |
| $=$ | $\cdots$ |
Singular plane model Singular plane model
| $ 0 $ | $=$ | $ x^{4} - x^{2} y^{2} - 2 y z^{3} $ |
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{6} + 1 $ |
Rational points
This modular curve has 4 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.
| Embedded model |
|---|
| $(1:0:0:0)$, $(0:-1:1:0)$, $(0:0:1:0)$, $(0:1:1:0)$ |
Maps to other modular curves
$j$-invariant map of degree 36 from the embedded model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle \frac{256x^{4}w^{4}+256y^{2}w^{6}+z^{8}+48z^{5}w^{3}+512z^{2}w^{6}}{w^{6}z^{2}}$ |
Map of degree 1 from the embedded model of this modular curve to the plane model of the modular curve 12.36.2.b.1 :
| $\displaystyle X$ | $=$ | $\displaystyle y$ |
| $\displaystyle Y$ | $=$ | $\displaystyle z$ |
| $\displaystyle Z$ | $=$ | $\displaystyle 2w$ |
Equation of the image curve:
| $0$ | $=$ | $ X^{4}-X^{2}Y^{2}-2YZ^{3} $ |
Map of degree 1 from the embedded model of this modular curve to the Weierstrass model of the modular curve 12.36.2.b.1 :
| $\displaystyle X$ | $=$ | $\displaystyle \frac{1}{2}y$ |
| $\displaystyle Y$ | $=$ | $\displaystyle \frac{1}{8}y^{2}z+w^{3}$ |
| $\displaystyle Z$ | $=$ | $\displaystyle w$ |
Modular covers
The following modular covers realize this modular curve as a fiber product over $X(1)$.
| Factor curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| $X_{\mathrm{ns}}^+(3)$ | $3$ | $24$ | $12$ | $0$ | $0$ | full Jacobian |
| 8.24.0-4.b.1.5 | $8$ | $3$ | $3$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.24.0-4.b.1.5 | $8$ | $3$ | $3$ | $0$ | $0$ | full Jacobian |
| 24.36.1-12.c.1.4 | $24$ | $2$ | $2$ | $1$ | $0$ | $1$ |
| 24.36.1-12.c.1.21 | $24$ | $2$ | $2$ | $1$ | $0$ | $1$ |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 24.144.3-12.b.1.17 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-12.d.1.16 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.e.1.21 | $24$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 24.144.3-12.k.1.16 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.k.1.21 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-12.l.1.15 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.be.1.21 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.3-24.bh.1.21 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.144.4-12.b.1.27 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.c.1.33 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-12.e.1.22 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-12.h.1.23 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.h.1.33 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-12.k.1.19 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.m.1.5 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.m.1.23 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.n.1.13 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.n.1.19 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.q.1.5 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.q.1.23 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.r.1.13 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.r.1.19 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.s.1.5 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.s.1.34 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.s.2.18 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.s.2.19 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.t.1.6 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.t.1.50 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.t.2.18 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.t.2.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.u.1.25 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.u.1.31 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.u.2.26 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.u.2.29 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.v.1.26 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.v.1.32 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.v.2.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.v.2.30 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.w.1.26 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.w.1.32 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.w.2.28 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.w.2.30 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.x.1.25 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.x.1.30 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.x.2.26 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.x.2.27 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.y.1.10 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.y.1.36 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.y.2.20 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.y.2.22 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.z.1.3 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.z.1.41 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.z.2.17 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.z.2.26 | $24$ | $2$ | $2$ | $4$ | $0$ | $2$ |
| 24.144.4-24.be.1.25 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.bl.1.25 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.cc.1.5 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.cc.1.30 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.cd.1.2 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.cd.1.36 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.cg.1.5 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.cg.1.30 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{2}$ |
| 24.144.4-24.ch.1.2 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.4-24.ch.1.38 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{2}$ |
| 24.144.5-24.c.1.13 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 24.144.5-24.d.1.11 | $24$ | $2$ | $2$ | $5$ | $0$ | $1^{3}$ |
| 24.144.5-24.g.1.7 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 24.144.5-24.h.1.11 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 24.144.5-24.k.1.3 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 24.144.5-24.l.1.2 | $24$ | $2$ | $2$ | $5$ | $0$ | $1^{3}$ |
| 24.144.5-24.o.1.3 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 24.144.5-24.p.1.3 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{3}$ |
| 72.216.8-36.b.1.41 | $72$ | $3$ | $3$ | $8$ | $?$ | not computed |
| 120.144.3-60.o.1.44 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-60.p.1.36 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-60.w.1.36 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-60.x.1.44 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.bi.1.45 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.bl.1.45 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cg.1.53 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.3-120.cj.1.45 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.144.4-60.c.1.44 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.e.1.64 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-60.f.1.44 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.l.1.64 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-60.m.1.47 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-60.p.1.45 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bc.1.5 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bc.1.77 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bd.1.20 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bd.1.72 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bg.1.9 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bg.1.79 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bh.1.20 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bh.1.72 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bi.1.10 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bi.1.75 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bi.2.11 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bi.2.74 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bj.1.11 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bj.1.105 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bj.2.11 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bj.2.105 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bk.1.25 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bk.1.83 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bk.2.29 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bk.2.49 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bl.1.17 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bl.1.91 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bl.2.25 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bl.2.51 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bm.1.25 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bm.1.85 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bm.2.29 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bm.2.49 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bn.1.17 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bn.1.87 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bn.2.25 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bn.2.51 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bo.1.19 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bo.1.85 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bo.2.21 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bo.2.83 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bp.1.6 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bp.1.85 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bp.2.6 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bp.2.101 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.bu.1.65 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.cb.1.65 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.eo.1.23 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.eo.1.58 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.ep.1.17 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.ep.1.70 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.es.1.23 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.es.1.58 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.et.1.9 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.4-120.et.1.64 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.144.5-120.c.1.13 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.144.5-120.d.1.7 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.144.5-120.g.1.7 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.144.5-120.h.1.7 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.144.5-120.k.1.19 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.144.5-120.l.1.27 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.144.5-120.o.1.19 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.144.5-120.p.1.27 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.360.14-60.b.1.58 | $120$ | $5$ | $5$ | $14$ | $?$ | not computed |
| 120.432.15-60.b.1.161 | $120$ | $6$ | $6$ | $15$ | $?$ | not computed |
| 168.144.3-84.k.1.43 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-84.l.1.33 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-84.s.1.35 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-84.t.1.43 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.be.1.46 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.bh.1.54 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.cc.1.46 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.3-168.cf.1.46 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.144.4-84.c.1.37 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.e.1.70 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-84.f.1.57 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.l.1.70 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-84.m.1.39 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-84.p.1.39 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bc.1.3 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bc.1.76 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bd.1.35 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bd.1.66 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bg.1.5 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bg.1.77 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bh.1.35 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bh.1.66 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bi.1.11 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bi.1.74 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bi.2.10 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bi.2.43 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bj.1.43 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bj.1.73 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bj.2.11 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bj.2.105 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bk.1.28 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bk.1.82 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bk.2.18 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bk.2.94 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bl.1.26 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bl.1.86 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bl.2.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bl.2.90 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bm.1.30 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bm.1.82 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bm.2.18 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bm.2.94 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bn.1.22 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bn.1.84 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bn.2.20 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bn.2.90 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bo.1.21 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bo.1.83 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bo.2.19 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bo.2.85 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bp.1.38 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bp.1.69 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bp.2.6 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bp.2.85 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.bu.1.68 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.cb.1.68 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.eo.1.23 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.eo.1.29 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.ep.1.17 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.ep.1.69 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.es.1.23 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.es.1.29 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.et.1.9 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.4-168.et.1.63 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.144.5-168.c.1.14 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.144.5-168.d.1.8 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.144.5-168.g.1.8 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.144.5-168.h.1.8 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.144.5-168.k.1.18 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.144.5-168.l.1.26 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.144.5-168.o.1.18 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.144.5-168.p.1.26 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.3-132.k.1.35 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-132.l.1.31 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-132.s.1.44 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-132.t.1.31 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.be.1.42 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.bh.1.42 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.cc.1.42 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.3-264.cf.1.42 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.144.4-132.c.1.51 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.e.1.59 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-132.f.1.55 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.l.1.59 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-132.m.1.33 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-132.p.1.33 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bc.1.3 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bc.1.77 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bd.1.18 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bd.1.72 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bg.1.5 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bg.1.79 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bh.1.18 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bh.1.72 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bi.1.11 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bi.1.74 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bi.2.10 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bi.2.75 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bj.1.11 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bj.1.105 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bj.2.11 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bj.2.105 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bk.1.21 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bk.1.83 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bk.2.17 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bk.2.87 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bl.1.17 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bl.1.91 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bl.2.19 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bl.2.89 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bm.1.25 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bm.1.85 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bm.2.17 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bm.2.93 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bn.1.17 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bn.1.87 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bn.2.19 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bn.2.85 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bo.1.21 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bo.1.83 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bo.2.19 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bo.2.85 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bp.1.6 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bp.1.101 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bp.2.6 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bp.2.85 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.bu.1.64 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.cb.1.64 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.eo.1.23 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.eo.1.57 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.ep.1.17 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.ep.1.69 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.es.1.23 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.es.1.57 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.et.1.9 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.4-264.et.1.63 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.144.5-264.c.1.14 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.5-264.d.1.8 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.5-264.g.1.8 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.5-264.h.1.8 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.5-264.k.1.11 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.5-264.l.1.15 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.5-264.o.1.11 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.144.5-264.p.1.27 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.144.3-156.k.1.43 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-156.l.1.41 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-156.s.1.35 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-156.t.1.35 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.be.1.41 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.bh.1.41 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.cc.1.41 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.3-312.cf.1.41 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.144.4-156.c.1.36 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.e.1.64 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-156.f.1.61 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.l.1.64 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-156.m.1.37 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-156.p.1.33 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bc.1.3 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bc.1.77 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bd.1.18 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bd.1.71 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bg.1.5 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bg.1.79 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bh.1.18 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bh.1.71 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bi.1.10 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bi.1.75 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bi.2.11 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bi.2.74 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bj.1.11 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bj.1.105 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bj.2.11 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bj.2.105 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bk.1.28 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bk.1.82 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bk.2.18 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bk.2.94 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bl.1.26 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bl.1.84 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bl.2.20 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bl.2.90 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bm.1.30 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bm.1.82 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bm.2.18 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bm.2.94 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bn.1.22 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bn.1.84 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bn.2.20 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bn.2.90 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bo.1.19 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bo.1.85 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bo.2.21 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bo.2.83 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bp.1.6 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bp.1.85 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bp.2.6 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bp.2.101 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.bu.1.67 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.cb.1.67 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.eo.1.23 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.eo.1.58 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.ep.1.17 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.ep.1.70 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.es.1.23 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.es.1.58 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.et.1.9 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.4-312.et.1.64 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.144.5-312.c.1.13 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.144.5-312.d.1.7 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.144.5-312.g.1.7 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.144.5-312.h.1.7 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.144.5-312.k.1.18 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.144.5-312.l.1.26 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.144.5-312.o.1.18 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.144.5-312.p.1.26 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |