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Properties

Label 24.96.3.gf.1
Level $24$
Index $96$
Genus $3$
Analytic rank $0$
Cusps $12$
$\Q$-cusps $4$

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Invariants

Level: $24$ $\SL_2$-level: $24$ Newform level: $96$
Index: $96$ $\PSL_2$-index:$96$
Genus: $3 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$
Cusps: $12$ (of which $4$ are rational) Cusp widths $1^{2}\cdot2\cdot3^{2}\cdot4\cdot6\cdot8^{2}\cdot12\cdot24^{2}$ Cusp orbits $1^{4}\cdot2^{4}$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
$\Q$-gonality: $2 \le \gamma \le 3$
$\overline{\Q}$-gonality: $2 \le \gamma \le 3$
Rational cusps: $4$
Rational CM points: none

Other labels

Cummins and Pauli (CP) label: 24Y3
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 24.96.3.25

Level structure

$\GL_2(\Z/24\Z)$-generators: $\begin{bmatrix}1&5\\0&1\end{bmatrix}$, $\begin{bmatrix}1&8\\0&11\end{bmatrix}$, $\begin{bmatrix}5&10\\0&1\end{bmatrix}$, $\begin{bmatrix}13&20\\0&1\end{bmatrix}$, $\begin{bmatrix}17&18\\0&19\end{bmatrix}$, $\begin{bmatrix}23&7\\0&23\end{bmatrix}$
$\GL_2(\Z/24\Z)$-subgroup: $C_{24}:C_2^5$
Contains $-I$: yes
Quadratic refinements: 24.192.3-24.gf.1.1, 24.192.3-24.gf.1.2, 24.192.3-24.gf.1.3, 24.192.3-24.gf.1.4, 24.192.3-24.gf.1.5, 24.192.3-24.gf.1.6, 24.192.3-24.gf.1.7, 24.192.3-24.gf.1.8, 24.192.3-24.gf.1.9, 24.192.3-24.gf.1.10, 24.192.3-24.gf.1.11, 24.192.3-24.gf.1.12, 24.192.3-24.gf.1.13, 24.192.3-24.gf.1.14, 24.192.3-24.gf.1.15, 24.192.3-24.gf.1.16, 24.192.3-24.gf.1.17, 24.192.3-24.gf.1.18, 24.192.3-24.gf.1.19, 24.192.3-24.gf.1.20, 24.192.3-24.gf.1.21, 24.192.3-24.gf.1.22, 24.192.3-24.gf.1.23, 24.192.3-24.gf.1.24, 24.192.3-24.gf.1.25, 24.192.3-24.gf.1.26, 24.192.3-24.gf.1.27, 24.192.3-24.gf.1.28, 24.192.3-24.gf.1.29, 24.192.3-24.gf.1.30, 24.192.3-24.gf.1.31, 24.192.3-24.gf.1.32, 48.192.3-24.gf.1.1, 48.192.3-24.gf.1.2, 48.192.3-24.gf.1.3, 48.192.3-24.gf.1.4, 48.192.3-24.gf.1.5, 48.192.3-24.gf.1.6, 48.192.3-24.gf.1.7, 48.192.3-24.gf.1.8, 48.192.3-24.gf.1.9, 48.192.3-24.gf.1.10, 48.192.3-24.gf.1.11, 48.192.3-24.gf.1.12, 48.192.3-24.gf.1.13, 48.192.3-24.gf.1.14, 48.192.3-24.gf.1.15, 48.192.3-24.gf.1.16, 48.192.3-24.gf.1.17, 48.192.3-24.gf.1.18, 48.192.3-24.gf.1.19, 48.192.3-24.gf.1.20, 48.192.3-24.gf.1.21, 48.192.3-24.gf.1.22, 48.192.3-24.gf.1.23, 48.192.3-24.gf.1.24, 48.192.3-24.gf.1.25, 48.192.3-24.gf.1.26, 48.192.3-24.gf.1.27, 48.192.3-24.gf.1.28, 48.192.3-24.gf.1.29, 48.192.3-24.gf.1.30, 48.192.3-24.gf.1.31, 48.192.3-24.gf.1.32, 120.192.3-24.gf.1.1, 120.192.3-24.gf.1.2, 120.192.3-24.gf.1.3, 120.192.3-24.gf.1.4, 120.192.3-24.gf.1.5, 120.192.3-24.gf.1.6, 120.192.3-24.gf.1.7, 120.192.3-24.gf.1.8, 120.192.3-24.gf.1.9, 120.192.3-24.gf.1.10, 120.192.3-24.gf.1.11, 120.192.3-24.gf.1.12, 120.192.3-24.gf.1.13, 120.192.3-24.gf.1.14, 120.192.3-24.gf.1.15, 120.192.3-24.gf.1.16, 120.192.3-24.gf.1.17, 120.192.3-24.gf.1.18, 120.192.3-24.gf.1.19, 120.192.3-24.gf.1.20, 120.192.3-24.gf.1.21, 120.192.3-24.gf.1.22, 120.192.3-24.gf.1.23, 120.192.3-24.gf.1.24, 120.192.3-24.gf.1.25, 120.192.3-24.gf.1.26, 120.192.3-24.gf.1.27, 120.192.3-24.gf.1.28, 120.192.3-24.gf.1.29, 120.192.3-24.gf.1.30, 120.192.3-24.gf.1.31, 120.192.3-24.gf.1.32, 168.192.3-24.gf.1.1, 168.192.3-24.gf.1.2, 168.192.3-24.gf.1.3, 168.192.3-24.gf.1.4, 168.192.3-24.gf.1.5, 168.192.3-24.gf.1.6, 168.192.3-24.gf.1.7, 168.192.3-24.gf.1.8, 168.192.3-24.gf.1.9, 168.192.3-24.gf.1.10, 168.192.3-24.gf.1.11, 168.192.3-24.gf.1.12, 168.192.3-24.gf.1.13, 168.192.3-24.gf.1.14, 168.192.3-24.gf.1.15, 168.192.3-24.gf.1.16, 168.192.3-24.gf.1.17, 168.192.3-24.gf.1.18, 168.192.3-24.gf.1.19, 168.192.3-24.gf.1.20, 168.192.3-24.gf.1.21, 168.192.3-24.gf.1.22, 168.192.3-24.gf.1.23, 168.192.3-24.gf.1.24, 168.192.3-24.gf.1.25, 168.192.3-24.gf.1.26, 168.192.3-24.gf.1.27, 168.192.3-24.gf.1.28, 168.192.3-24.gf.1.29, 168.192.3-24.gf.1.30, 168.192.3-24.gf.1.31, 168.192.3-24.gf.1.32, 240.192.3-24.gf.1.1, 240.192.3-24.gf.1.2, 240.192.3-24.gf.1.3, 240.192.3-24.gf.1.4, 240.192.3-24.gf.1.5, 240.192.3-24.gf.1.6, 240.192.3-24.gf.1.7, 240.192.3-24.gf.1.8, 240.192.3-24.gf.1.9, 240.192.3-24.gf.1.10, 240.192.3-24.gf.1.11, 240.192.3-24.gf.1.12, 240.192.3-24.gf.1.13, 240.192.3-24.gf.1.14, 240.192.3-24.gf.1.15, 240.192.3-24.gf.1.16, 240.192.3-24.gf.1.17, 240.192.3-24.gf.1.18, 240.192.3-24.gf.1.19, 240.192.3-24.gf.1.20, 240.192.3-24.gf.1.21, 240.192.3-24.gf.1.22, 240.192.3-24.gf.1.23, 240.192.3-24.gf.1.24, 240.192.3-24.gf.1.25, 240.192.3-24.gf.1.26, 240.192.3-24.gf.1.27, 240.192.3-24.gf.1.28, 240.192.3-24.gf.1.29, 240.192.3-24.gf.1.30, 240.192.3-24.gf.1.31, 240.192.3-24.gf.1.32, 264.192.3-24.gf.1.1, 264.192.3-24.gf.1.2, 264.192.3-24.gf.1.3, 264.192.3-24.gf.1.4, 264.192.3-24.gf.1.5, 264.192.3-24.gf.1.6, 264.192.3-24.gf.1.7, 264.192.3-24.gf.1.8, 264.192.3-24.gf.1.9, 264.192.3-24.gf.1.10, 264.192.3-24.gf.1.11, 264.192.3-24.gf.1.12, 264.192.3-24.gf.1.13, 264.192.3-24.gf.1.14, 264.192.3-24.gf.1.15, 264.192.3-24.gf.1.16, 264.192.3-24.gf.1.17, 264.192.3-24.gf.1.18, 264.192.3-24.gf.1.19, 264.192.3-24.gf.1.20, 264.192.3-24.gf.1.21, 264.192.3-24.gf.1.22, 264.192.3-24.gf.1.23, 264.192.3-24.gf.1.24, 264.192.3-24.gf.1.25, 264.192.3-24.gf.1.26, 264.192.3-24.gf.1.27, 264.192.3-24.gf.1.28, 264.192.3-24.gf.1.29, 264.192.3-24.gf.1.30, 264.192.3-24.gf.1.31, 264.192.3-24.gf.1.32, 312.192.3-24.gf.1.1, 312.192.3-24.gf.1.2, 312.192.3-24.gf.1.3, 312.192.3-24.gf.1.4, 312.192.3-24.gf.1.5, 312.192.3-24.gf.1.6, 312.192.3-24.gf.1.7, 312.192.3-24.gf.1.8, 312.192.3-24.gf.1.9, 312.192.3-24.gf.1.10, 312.192.3-24.gf.1.11, 312.192.3-24.gf.1.12, 312.192.3-24.gf.1.13, 312.192.3-24.gf.1.14, 312.192.3-24.gf.1.15, 312.192.3-24.gf.1.16, 312.192.3-24.gf.1.17, 312.192.3-24.gf.1.18, 312.192.3-24.gf.1.19, 312.192.3-24.gf.1.20, 312.192.3-24.gf.1.21, 312.192.3-24.gf.1.22, 312.192.3-24.gf.1.23, 312.192.3-24.gf.1.24, 312.192.3-24.gf.1.25, 312.192.3-24.gf.1.26, 312.192.3-24.gf.1.27, 312.192.3-24.gf.1.28, 312.192.3-24.gf.1.29, 312.192.3-24.gf.1.30, 312.192.3-24.gf.1.31, 312.192.3-24.gf.1.32
Cyclic 24-isogeny field degree: $1$
Cyclic 24-torsion field degree: $8$
Full 24-torsion field degree: $768$

Jacobian

Conductor: $2^{13}\cdot3^{3}$
Simple: no
Squarefree: yes
Decomposition: $1\cdot2$
Newforms: 24.2.a.a, 96.2.d.a

Models

Canonical model in $\mathbb{P}^{ 2 }$

$ 0 $ $=$ $ - x^{3} z + x^{2} y^{2} + x z^{3} + 2 y^{4} + y^{2} z^{2} $
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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.

Canonical model
$(1:0:1)$, $(0:0:1)$, $(-1:0:1)$, $(1:0:0)$

Maps to other modular curves

$j$-invariant map of degree 96 from the canonical model of this modular curve to the modular curve $X(1)$ :

$\displaystyle j$ $=$ $\displaystyle -\frac{x^{24}-708x^{23}z+172116x^{22}z^{2}-15534740x^{21}z^{3}+296705322x^{20}z^{4}-3050610540x^{19}z^{5}+23919719348x^{18}z^{6}-172917010332x^{17}z^{7}+1222145208999x^{16}z^{8}-8548431082856x^{15}z^{9}+59575015665768x^{14}z^{10}-415026950151816x^{13}z^{11}+2889882985019180x^{12}z^{12}-20003222458287256x^{11}z^{13}+136086081493720392x^{10}z^{14}-893678695642968056x^{9}z^{15}+5509313012986118111x^{8}z^{16}-30445070335735881492x^{7}z^{17}+137939075840609738692x^{6}z^{18}-408222258336931878180x^{5}z^{19}+178910324986689457738x^{4}z^{20}+1383332585634595150660x^{3}z^{21}-322497750626045843836x^{2}z^{22}+4696545239040xy^{22}z-92345415557120xy^{20}z^{3}+1361438510940160xy^{18}z^{5}-18164631480483840xy^{16}z^{7}+221724283157954560xy^{14}z^{9}-2461214014448844800xy^{12}z^{11}+24033878260670955520xy^{10}z^{13}-187687912911954247680xy^{8}z^{15}+862328430601509642240xy^{6}z^{17}+133001631891311206400xy^{4}z^{19}-943751151292285747200xy^{2}z^{21}-943751151292366324268xz^{23}+782757785600y^{24}-28178895421440y^{22}z^{2}+437675871109120y^{20}z^{4}-6093651481518080y^{18}z^{6}+77261542687395840y^{16}z^{8}-895745251472998400y^{14}z^{10}+9309993301810872320y^{12}z^{12}-81650533729180794880y^{10}z^{14}+504385072705139281920y^{8}z^{16}-968679385139214827520y^{6}z^{18}-2508755703250972508160y^{4}z^{20}-943751151292366315520y^{2}z^{22}+729z^{24}}{z(x^{23}+34x^{22}z+464x^{21}z^{2}+3142x^{20}z^{3}+9827x^{19}z^{4}+2632x^{18}z^{5}-61104x^{17}z^{6}-93640x^{16}z^{7}+149290x^{15}z^{8}+316988x^{14}z^{9}-221840x^{13}z^{10}-470700x^{12}z^{11}+252198x^{11}z^{12}+54696x^{10}z^{13}+1713008x^{9}z^{14}-11749608x^{8}z^{15}+64587813x^{7}z^{16}-290882126x^{6}z^{17}+860366848x^{5}z^{18}-377280234x^{4}z^{19}-2917060313x^{3}z^{20}+680098816x^{2}z^{21}+2048xy^{22}-13312xy^{20}z^{2}-185344xy^{18}z^{4}-423936xy^{16}z^{6}-628736xy^{14}z^{8}+7004160xy^{12}z^{10}-48295936xy^{10}z^{12}+395491328xy^{8}z^{14}-1820209152xy^{6}z^{16}-281111552xy^{4}z^{18}+1990263808xy^{2}z^{20}+1990263808xz^{22}+24576y^{22}z+157696y^{20}z^{3}+650240y^{18}z^{5}+1521664y^{16}z^{7}+4896768y^{14}z^{9}-17766400y^{12}z^{11}+171151360y^{10}z^{13}-1065129984y^{8}z^{15}+2042488832y^{6}z^{17}+5290692608y^{4}z^{19}+1990263808y^{2}z^{21})}$

Modular covers

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Cover information

Click on a modular curve in the diagram to see information about it.
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The following modular covers realize this modular curve as a fiber product over $X(1)$.

Factor curve Level Index Degree Genus Rank Kernel decomposition
$X_0(3)$ $3$ $24$ $24$ $0$ $0$ full Jacobian
8.24.0.ba.2 $8$ $4$ $4$ $0$ $0$ full Jacobian

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
8.24.0.ba.2 $8$ $4$ $4$ $0$ $0$ full Jacobian
$X_0(24)$ $24$ $2$ $2$ $1$ $0$ $2$

This modular curve is minimally covered by the modular curves in the database listed below.

Covering curve Level Index Degree Genus Rank Kernel decomposition
24.192.5.fz.2 $24$ $2$ $2$ $5$ $0$ $2$
24.192.5.fz.4 $24$ $2$ $2$ $5$ $0$ $2$
24.192.5.gd.1 $24$ $2$ $2$ $5$ $0$ $2$
24.192.5.gd.3 $24$ $2$ $2$ $5$ $0$ $2$
24.192.5.gh.2 $24$ $2$ $2$ $5$ $0$ $2$
24.192.5.gh.4 $24$ $2$ $2$ $5$ $0$ $2$
24.192.5.gl.2 $24$ $2$ $2$ $5$ $0$ $2$
24.192.5.gl.4 $24$ $2$ $2$ $5$ $0$ $2$
24.192.7.dj.1 $24$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
24.192.7.du.2 $24$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
24.192.7.ea.2 $24$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
24.192.7.eb.1 $24$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
24.192.7.eh.1 $24$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
24.192.7.el.1 $24$ $2$ $2$ $7$ $1$ $1^{2}\cdot2$
24.192.7.eo.2 $24$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
24.192.7.er.1 $24$ $2$ $2$ $7$ $1$ $1^{2}\cdot2$
24.192.7.eu.1 $24$ $2$ $2$ $7$ $0$ $2^{2}$
24.192.7.eu.2 $24$ $2$ $2$ $7$ $0$ $2^{2}$
24.192.7.ey.2 $24$ $2$ $2$ $7$ $0$ $2^{2}$
24.192.7.ey.4 $24$ $2$ $2$ $7$ $0$ $2^{2}$
24.192.7.fc.1 $24$ $2$ $2$ $7$ $0$ $2^{2}$
24.192.7.fc.2 $24$ $2$ $2$ $7$ $0$ $2^{2}$
24.192.7.fg.1 $24$ $2$ $2$ $7$ $0$ $2^{2}$
24.192.7.fg.3 $24$ $2$ $2$ $7$ $0$ $2^{2}$
24.288.13.ll.2 $24$ $3$ $3$ $13$ $0$ $1^{4}\cdot2^{3}$
48.192.7.ep.3 $48$ $2$ $2$ $7$ $0$ $2^{2}$
48.192.7.ep.4 $48$ $2$ $2$ $7$ $0$ $2^{2}$
48.192.7.et.1 $48$ $2$ $2$ $7$ $0$ $2^{2}$
48.192.7.et.2 $48$ $2$ $2$ $7$ $0$ $2^{2}$
48.192.7.fn.3 $48$ $2$ $2$ $7$ $0$ $2^{2}$
48.192.7.fn.4 $48$ $2$ $2$ $7$ $0$ $2^{2}$
48.192.7.fr.2 $48$ $2$ $2$ $7$ $0$ $2^{2}$
48.192.7.fr.4 $48$ $2$ $2$ $7$ $0$ $2^{2}$
48.192.7.gr.2 $48$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
48.192.7.gt.2 $48$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
48.192.7.gz.1 $48$ $2$ $2$ $7$ $1$ $1^{2}\cdot2$
48.192.7.hb.1 $48$ $2$ $2$ $7$ $1$ $1^{2}\cdot2$
48.192.7.hn.2 $48$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
48.192.7.ht.2 $48$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
48.192.7.hv.1 $48$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
48.192.7.ib.1 $48$ $2$ $2$ $7$ $0$ $1^{2}\cdot2$
48.192.9.bar.1 $48$ $2$ $2$ $9$ $1$ $1^{4}\cdot2$
48.192.9.bax.1 $48$ $2$ $2$ $9$ $1$ $1^{4}\cdot2$
48.192.9.baz.2 $48$ $2$ $2$ $9$ $0$ $1^{4}\cdot2$
48.192.9.bbf.2 $48$ $2$ $2$ $9$ $0$ $1^{4}\cdot2$
48.192.9.bfj.1 $48$ $2$ $2$ $9$ $2$ $1^{4}\cdot2$
48.192.9.bfl.1 $48$ $2$ $2$ $9$ $2$ $1^{4}\cdot2$
48.192.9.bfr.2 $48$ $2$ $2$ $9$ $1$ $1^{4}\cdot2$
48.192.9.bft.2 $48$ $2$ $2$ $9$ $1$ $1^{4}\cdot2$
48.192.9.bgz.2 $48$ $2$ $2$ $9$ $0$ $2\cdot4$
48.192.9.bgz.4 $48$ $2$ $2$ $9$ $0$ $2\cdot4$
48.192.9.bhd.3 $48$ $2$ $2$ $9$ $0$ $2\cdot4$
48.192.9.bhd.4 $48$ $2$ $2$ $9$ $0$ $2\cdot4$
48.192.9.bhx.1 $48$ $2$ $2$ $9$ $0$ $2\cdot4$
48.192.9.bhx.2 $48$ $2$ $2$ $9$ $0$ $2\cdot4$
48.192.9.bib.3 $48$ $2$ $2$ $9$ $0$ $2\cdot4$
48.192.9.bib.4 $48$ $2$ $2$ $9$ $0$ $2\cdot4$
72.288.13.fr.1 $72$ $3$ $3$ $13$ $?$ not computed
72.288.19.kb.1 $72$ $3$ $3$ $19$ $?$ not computed
72.288.19.kx.1 $72$ $3$ $3$ $19$ $?$ not computed
120.192.5.bet.2 $120$ $2$ $2$ $5$ $?$ not computed
120.192.5.bet.4 $120$ $2$ $2$ $5$ $?$ not computed
120.192.5.bex.2 $120$ $2$ $2$ $5$ $?$ not computed
120.192.5.bex.4 $120$ $2$ $2$ $5$ $?$ not computed
120.192.5.bfj.1 $120$ $2$ $2$ $5$ $?$ not computed
120.192.5.bfj.3 $120$ $2$ $2$ $5$ $?$ not computed
120.192.5.bfn.1 $120$ $2$ $2$ $5$ $?$ not computed
120.192.5.bfn.3 $120$ $2$ $2$ $5$ $?$ not computed
120.192.7.lf.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.ll.2 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.lr.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.lx.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.mj.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.mp.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.mv.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.nb.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.nk.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.nk.2 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.no.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.no.3 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.oa.1 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.oa.2 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.oe.2 $120$ $2$ $2$ $7$ $?$ not computed
120.192.7.oe.4 $120$ $2$ $2$ $7$ $?$ not computed
168.192.5.bet.1 $168$ $2$ $2$ $5$ $?$ not computed
168.192.5.bet.3 $168$ $2$ $2$ $5$ $?$ not computed
168.192.5.bex.1 $168$ $2$ $2$ $5$ $?$ not computed
168.192.5.bex.3 $168$ $2$ $2$ $5$ $?$ not computed
168.192.5.bfj.1 $168$ $2$ $2$ $5$ $?$ not computed
168.192.5.bfj.4 $168$ $2$ $2$ $5$ $?$ not computed
168.192.5.bfn.1 $168$ $2$ $2$ $5$ $?$ not computed
168.192.5.bfn.2 $168$ $2$ $2$ $5$ $?$ not computed
168.192.7.kz.2 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.lf.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.ll.2 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.lr.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.lx.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.md.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.mj.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.mp.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.my.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.my.4 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.nc.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.nc.2 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.no.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.no.3 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.ns.1 $168$ $2$ $2$ $7$ $?$ not computed
168.192.7.ns.3 $168$ $2$ $2$ $7$ $?$ not computed
240.192.7.uh.1 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.uh.2 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.ul.1 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.ul.2 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.vv.2 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.vv.4 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.vz.1 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.vz.3 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.yf.2 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.yh.1 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.yv.1 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.yx.2 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.zz.2 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.baf.1 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.bap.1 $240$ $2$ $2$ $7$ $?$ not computed
240.192.7.bav.2 $240$ $2$ $2$ $7$ $?$ not computed
240.192.9.ftd.2 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.ftj.1 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.ftt.1 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.ftz.2 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.fvb.2 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.fvd.1 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.fvr.1 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.fvt.2 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.gcv.1 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.gcv.3 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.gcz.2 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.gcz.4 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.gej.1 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.gej.2 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.gen.1 $240$ $2$ $2$ $9$ $?$ not computed
240.192.9.gen.2 $240$ $2$ $2$ $9$ $?$ not computed
264.192.5.bet.2 $264$ $2$ $2$ $5$ $?$ not computed
264.192.5.bet.4 $264$ $2$ $2$ $5$ $?$ not computed
264.192.5.bex.2 $264$ $2$ $2$ $5$ $?$ not computed
264.192.5.bex.4 $264$ $2$ $2$ $5$ $?$ not computed
264.192.5.bfj.2 $264$ $2$ $2$ $5$ $?$ not computed
264.192.5.bfj.4 $264$ $2$ $2$ $5$ $?$ not computed
264.192.5.bfn.1 $264$ $2$ $2$ $5$ $?$ not computed
264.192.5.bfn.3 $264$ $2$ $2$ $5$ $?$ not computed
264.192.7.kz.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.lf.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.ll.2 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.lr.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.lx.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.md.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.mj.2 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.mp.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.my.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.my.3 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.nc.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.nc.3 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.no.1 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.no.3 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.ns.2 $264$ $2$ $2$ $7$ $?$ not computed
264.192.7.ns.4 $264$ $2$ $2$ $7$ $?$ not computed
312.192.5.bet.1 $312$ $2$ $2$ $5$ $?$ not computed
312.192.5.bet.3 $312$ $2$ $2$ $5$ $?$ not computed
312.192.5.bex.1 $312$ $2$ $2$ $5$ $?$ not computed
312.192.5.bex.3 $312$ $2$ $2$ $5$ $?$ not computed
312.192.5.bfj.1 $312$ $2$ $2$ $5$ $?$ not computed
312.192.5.bfj.2 $312$ $2$ $2$ $5$ $?$ not computed
312.192.5.bfn.1 $312$ $2$ $2$ $5$ $?$ not computed
312.192.5.bfn.4 $312$ $2$ $2$ $5$ $?$ not computed
312.192.7.lf.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.ll.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.lr.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.lx.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.mj.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.mp.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.mv.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.nb.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.nk.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.nk.2 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.no.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.no.4 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.oa.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.oa.3 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.oe.1 $312$ $2$ $2$ $7$ $?$ not computed
312.192.7.oe.3 $312$ $2$ $2$ $7$ $?$ not computed