Invariants
| Level: | $8$ | $\SL_2$-level: | $8$ | Newform level: | $64$ | ||
| Index: | $96$ | $\PSL_2$-index: | $48$ | ||||
| Genus: | $2 = 1 + \frac{ 48 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 6 }{2}$ | ||||||
| Cusps: | $6$ (of which $4$ are rational) | Cusp widths | $8^{6}$ | Cusp orbits | $1^{4}\cdot2$ | ||
| 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: | 8A2 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 8.96.2.12 |
Level structure
| $\GL_2(\Z/8\Z)$-generators: | $\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}3&0\\4&1\end{bmatrix}$, $\begin{bmatrix}3&4\\0&3\end{bmatrix}$, $\begin{bmatrix}5&4\\0&1\end{bmatrix}$ |
| $\GL_2(\Z/8\Z)$-subgroup: | $C_2^4$ |
| Contains $-I$: | no $\quad$ (see 8.48.2.a.1 for the level structure with $-I$) |
| Cyclic 8-isogeny field degree: | $2$ |
| Cyclic 8-torsion field degree: | $8$ |
| Full 8-torsion field degree: | $16$ |
Jacobian
| Conductor: | $2^{12}$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $2$ |
| Newforms: | 64.2.b.a |
Models
Embedded model Embedded model in $\mathbb{P}^{3}$
| $ 0 $ | $=$ | $ x w^{2} + y z w $ |
| $=$ | $x z w + y z^{2}$ | |
| $=$ | $x y w + y^{2} z$ | |
| $=$ | $x^{2} w + x y z$ | |
| $=$ | $\cdots$ |
Singular plane model Singular plane model
| $ 0 $ | $=$ | $ x^{3} z + x^{2} y^{2} - x^{2} z^{2} + x y^{2} z + x z^{3} - z^{4} $ |
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ -x^{5} + x $ |
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 |
|---|
| $(0:0:1:1)$, $(0:1:0:0)$, $(1:0:0:0)$, $(1:1:0:0)$ |
Maps to other modular curves
$j$-invariant map of degree 48 from the embedded model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle -2^4\,\frac{x^{8}z^{2}+3x^{8}zw+3x^{8}w^{2}-x^{6}z^{2}w^{2}-44x^{6}zw^{3}-49x^{6}w^{4}-4x^{4}z^{2}w^{4}+12x^{4}zw^{5}+696x^{4}w^{6}+613x^{2}z^{2}w^{6}-1267x^{2}zw^{7}-13x^{2}w^{8}+3xy^{9}+51xy^{7}w^{2}+345xy^{5}w^{4}+1119xy^{3}w^{6}+1011xyw^{8}+y^{10}+8y^{8}w^{2}+45y^{6}w^{4}+269y^{4}w^{6}+718y^{2}w^{8}-448z^{2}w^{8}+512zw^{9}+64w^{10}}{w^{3}(x^{6}z+x^{6}w+x^{4}w^{3}+x^{2}z^{2}w^{3}-3x^{2}zw^{4}+3x^{2}w^{5}+3xy^{3}w^{3}+3xyw^{5}+2y^{2}w^{5})}$ |
Map of degree 1 from the embedded model of this modular curve to the plane model of the modular curve 8.48.2.a.1 :
| $\displaystyle X$ | $=$ | $\displaystyle z$ |
| $\displaystyle Y$ | $=$ | $\displaystyle y$ |
| $\displaystyle Z$ | $=$ | $\displaystyle w$ |
Equation of the image curve:
| $0$ | $=$ | $ X^{2}Y^{2}+X^{3}Z+XY^{2}Z-X^{2}Z^{2}+XZ^{3}-Z^{4} $ |
Map of degree 1 from the embedded model of this modular curve to the Weierstrass model of the modular curve 8.48.2.a.1 :
| $\displaystyle X$ | $=$ | $\displaystyle z$ |
| $\displaystyle Y$ | $=$ | $\displaystyle -yz^{2}-yzw$ |
| $\displaystyle Z$ | $=$ | $\displaystyle w$ |
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.48.0-4.b.1.3 | $8$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
| 8.48.0-4.b.1.5 | $8$ | $2$ | $2$ | $0$ | $0$ | 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 |
|---|---|---|---|---|---|---|
| 8.192.3-8.c.1.3 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.d.1.3 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.f.1.1 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.f.1.7 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.f.2.4 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.f.2.7 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.h.1.4 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.h.1.6 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.h.2.1 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.h.2.6 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.i.1.4 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 8.192.3-8.j.1.2 | $8$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.192.3-24.i.1.7 | $24$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 24.192.3-24.j.1.4 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.192.3-24.m.1.8 | $24$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 24.192.3-24.m.1.12 | $24$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 24.192.3-24.m.2.6 | $24$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 24.192.3-24.m.2.13 | $24$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 24.192.3-24.n.1.8 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.192.3-24.n.1.15 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.192.3-24.n.2.3 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.192.3-24.n.2.9 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.192.3-24.v.1.7 | $24$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 24.192.3-24.w.1.7 | $24$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 24.288.10-24.a.1.32 | $24$ | $3$ | $3$ | $10$ | $0$ | $1^{4}\cdot4$ |
| 24.384.11-24.a.1.22 | $24$ | $4$ | $4$ | $11$ | $0$ | $1^{3}\cdot2\cdot4$ |
| 40.192.3-40.n.1.7 | $40$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 40.192.3-40.o.1.4 | $40$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 40.192.3-40.r.1.6 | $40$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 40.192.3-40.r.1.12 | $40$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 40.192.3-40.r.2.6 | $40$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 40.192.3-40.r.2.15 | $40$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 40.192.3-40.s.1.5 | $40$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 40.192.3-40.s.1.11 | $40$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 40.192.3-40.s.2.8 | $40$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 40.192.3-40.s.2.11 | $40$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 40.192.3-40.ba.1.7 | $40$ | $2$ | $2$ | $3$ | $0$ | $1$ |
| 40.192.3-40.bb.1.7 | $40$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 40.480.18-40.a.1.14 | $40$ | $5$ | $5$ | $18$ | $1$ | $1^{8}\cdot4^{2}$ |
| 40.576.19-40.a.1.6 | $40$ | $6$ | $6$ | $19$ | $0$ | $1^{7}\cdot2\cdot4^{2}$ |
| 40.960.35-40.bq.1.24 | $40$ | $10$ | $10$ | $35$ | $2$ | $1^{15}\cdot2\cdot4^{4}$ |
| 56.192.3-56.f.1.7 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.g.1.4 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.j.1.6 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.j.1.12 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.j.2.6 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.j.2.15 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.k.1.5 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.k.1.11 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.k.2.8 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.k.2.11 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.s.1.9 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.192.3-56.t.1.7 | $56$ | $2$ | $2$ | $3$ | $1$ | $1$ |
| 56.768.27-56.a.1.14 | $56$ | $8$ | $8$ | $27$ | $1$ | $1^{11}\cdot2^{3}\cdot4^{2}$ |
| 56.2016.76-56.a.1.43 | $56$ | $21$ | $21$ | $76$ | $6$ | $1^{10}\cdot2^{12}\cdot4^{3}\cdot12\cdot16$ |
| 56.2688.101-56.a.1.6 | $56$ | $28$ | $28$ | $101$ | $7$ | $1^{21}\cdot2^{15}\cdot4^{5}\cdot12\cdot16$ |
| 88.192.3-88.f.1.7 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.g.1.4 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.j.1.8 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.j.1.10 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.j.2.6 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.j.2.15 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.k.1.5 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.k.1.11 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.k.2.8 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.k.2.11 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.s.1.7 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 88.192.3-88.t.1.7 | $88$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.n.1.7 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.o.1.4 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.r.1.6 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.r.1.12 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.r.2.6 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.r.2.15 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.s.1.3 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.s.1.13 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.s.2.8 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.s.2.11 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.ba.1.9 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 104.192.3-104.bb.1.7 | $104$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.z.1.5 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.ba.1.7 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bh.1.8 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bh.1.27 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bh.2.2 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bh.2.27 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bi.1.5 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bi.1.30 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bi.2.8 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.bi.2.29 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.cg.1.12 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.192.3-120.ch.1.3 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.n.1.7 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.o.1.4 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.r.1.8 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.r.1.10 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.r.2.6 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.r.2.15 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.s.1.5 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.s.1.11 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.s.2.8 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.s.2.11 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.ba.1.7 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 136.192.3-136.bb.1.7 | $136$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.f.1.7 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.g.1.4 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.j.1.8 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.j.1.10 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.j.2.6 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.j.2.15 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.k.1.3 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.k.1.13 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.k.2.8 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.k.2.11 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.s.1.7 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 152.192.3-152.t.1.7 | $152$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.r.1.13 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.s.1.6 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.z.1.14 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.z.1.24 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.z.2.10 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.z.2.27 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ba.1.16 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ba.1.29 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ba.2.9 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.ba.2.19 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.by.1.13 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.192.3-168.bz.1.14 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.f.1.7 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.g.1.4 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.j.1.6 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.j.1.12 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.j.2.6 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.j.2.15 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.k.1.3 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.k.1.13 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.k.2.8 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.k.2.11 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.s.1.7 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 184.192.3-184.t.1.7 | $184$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.n.1.7 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.o.1.4 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.r.1.8 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.r.1.10 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.r.2.6 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.r.2.15 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.s.1.3 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.s.1.13 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.s.2.8 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.s.2.11 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.ba.1.7 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 232.192.3-232.bb.1.7 | $232$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.f.1.7 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.g.1.4 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.j.1.6 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.j.1.12 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.j.2.6 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.j.2.15 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.k.1.5 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.k.1.11 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.k.2.8 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.k.2.11 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.s.1.7 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 248.192.3-248.t.1.7 | $248$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.r.1.15 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.s.1.6 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.z.1.16 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.z.1.22 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.z.2.11 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.z.2.26 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ba.1.16 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ba.1.29 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ba.2.9 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.ba.2.19 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.by.1.13 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.192.3-264.bz.1.14 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.z.1.9 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.ba.1.14 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bh.1.16 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bh.1.21 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bh.2.2 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bh.2.23 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bi.1.9 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bi.1.28 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bi.2.16 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.bi.2.25 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.cg.1.16 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 280.192.3-280.ch.1.9 | $280$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.n.1.7 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.o.1.4 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.r.1.8 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.r.1.10 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.r.2.6 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.r.2.15 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.s.1.3 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.s.1.13 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.s.2.8 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.s.2.11 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.ba.1.7 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 296.192.3-296.bb.1.7 | $296$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.z.1.15 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.ba.1.6 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bh.1.16 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bh.1.22 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bh.2.10 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bh.2.27 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bi.1.16 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bi.1.29 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bi.2.9 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.bi.2.19 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.cg.1.13 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.192.3-312.ch.1.14 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.n.1.7 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.o.1.4 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.r.1.8 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.r.1.10 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.r.2.6 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.r.2.15 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.s.1.5 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.s.1.11 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.s.2.8 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.s.2.11 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.ba.1.7 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 328.192.3-328.bb.1.7 | $328$ | $2$ | $2$ | $3$ | $?$ | not computed |