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Properties

Label 60.144.3-30.a.1.9
Level $60$
Index $144$
Genus $3$
Analytic rank $0$
Cusps $8$
$\Q$-cusps $8$

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Invariants

Level: $60$ $\SL_2$-level: $60$ Newform level: $30$
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 $1\cdot2\cdot3\cdot5\cdot6\cdot10\cdot15\cdot30$ 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: 30K3
Rouse, Sutherland, and Zureick-Brown (RSZB) label: 60.144.3.79

Level structure

$\GL_2(\Z/60\Z)$-generators: $\begin{bmatrix}1&15\\34&23\end{bmatrix}$, $\begin{bmatrix}1&30\\20&41\end{bmatrix}$, $\begin{bmatrix}7&45\\26&29\end{bmatrix}$, $\begin{bmatrix}37&45\\20&47\end{bmatrix}$, $\begin{bmatrix}53&45\\44&29\end{bmatrix}$, $\begin{bmatrix}59&0\\16&1\end{bmatrix}$
Contains $-I$: no $\quad$ (see 30.72.3.a.1 for the level structure with $-I$)
Cyclic 60-isogeny field degree: $2$
Cyclic 60-torsion field degree: $32$
Full 60-torsion field degree: $15360$

Jacobian

Conductor: $2\cdot3^{3}\cdot5^{3}$
Simple: no
Squarefree: no
Decomposition: $1^{3}$
Newforms: 15.2.a.a$^{2}$, 30.2.a.a

Models

Embedded model Embedded model in $\mathbb{P}^{4}$

$ 0 $ $=$ $ x y z + x z^{2} - x z w - y^{2} z - y z^{2} + 2 y z w + z^{2} w - z t^{2} $
$=$ $x y^{2} + x y z - x y w - y^{3} - y^{2} z + 2 y^{2} w + y z w - y t^{2}$
$=$ $x^{2} y + x^{2} z - x^{2} w - x y^{2} - x y z + 2 x y w + x z w - x t^{2}$
$=$ $x y t + x z w + x z t - x t^{2} + y^{2} w + y^{2} t + y z t + z t^{2} - w t^{2} - t^{3}$
$=$$\cdots$
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Singular plane model Singular plane model

$ 0 $ $=$ $ x^{6} + 6 x^{5} z - 2 x^{4} y^{2} - 12 x^{4} y z + 2 x^{4} z^{2} + x^{3} y^{3} + 8 x^{3} y^{2} z + \cdots - 2 y^{2} z^{4} $
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Weierstrass model Weierstrass model

$ y^{2} + \left(x^{4} + x^{3} + x + 1\right) y $ $=$ $ -2x^{7} + 2x^{6} - 2x^{5} - 2x^{4} + x^{3} + 2x^{2} + x $
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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
$(-1:1:1:1:0)$, $(-1:1:0:1:1)$, $(0:-1:1:0:0)$, $(1:1:0:0:0)$, $(-1:-1:1:0:0)$, $(0:-1:-1:-1:1)$, $(-1:0:-1:-1:1)$, $(0:-1:2:0:1)$

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 -3^3\,\frac{41800xz^{10}-135300xz^{9}t+1614255xz^{8}t^{2}-16085510xz^{7}t^{3}+108690340xz^{6}t^{4}-560361625xz^{5}t^{5}+2534628859xz^{4}t^{6}-6690112801xz^{3}t^{7}+13754592503xz^{2}t^{8}+117025963476xzt^{9}+2585725xw^{10}+120171726xw^{9}t+346289932xw^{8}t^{2}+583189243xw^{7}t^{3}-1868903990xw^{6}t^{4}-2969750662xw^{5}t^{5}-22117874314xw^{4}t^{6}+8325105755xw^{3}t^{7}-17762076736xw^{2}t^{8}+62887927701xwt^{9}+35268313114xt^{10}+2025y^{11}+1377y^{10}t-135270y^{9}t^{2}+833895y^{8}t^{3}+9995400y^{7}t^{4}-4941000y^{6}t^{5}+41632542y^{5}t^{6}+2739748455y^{4}t^{7}+21417323805y^{3}t^{8}+158636455155y^{2}t^{9}+147447075283ywt^{9}+118912799815yt^{10}+18225z^{11}+12800z^{10}w+648z^{10}t-243200z^{9}wt-280420z^{9}t^{2}+3453600z^{8}wt^{2}-1026395z^{8}t^{3}-33285750z^{7}wt^{3}+14064020z^{7}t^{4}+253407240z^{6}wt^{4}-32587525z^{6}t^{5}-1423363575z^{5}wt^{5}+350509517z^{5}t^{6}+5619924845z^{4}wt^{6}-4586293830z^{4}t^{7}-12664840269z^{3}wt^{7}+28954348150z^{3}t^{8}+62627177090z^{2}wt^{8}-179457358143z^{2}t^{9}+28014525zw^{10}+201761311zw^{9}t+307236395zw^{8}t^{2}+849643570zw^{7}t^{3}-972202537zw^{6}t^{4}+8549088307zw^{5}t^{5}-13238227814zw^{4}t^{6}+44802214165zw^{3}t^{7}-245203083782zw^{2}t^{8}+383685643028zwt^{9}+209562446395zt^{10}+8794350w^{11}+6092815w^{10}t+183194574w^{9}t^{2}-65945744w^{8}t^{3}-10139443w^{7}t^{4}-13582083383w^{6}t^{5}-6537676346w^{5}t^{6}-53197913935w^{4}t^{7}+167618198463w^{3}t^{8}-415260539422w^{2}t^{9}-174445234378wt^{10}+108897438473t^{11}}{437400xz^{6}t^{4}-5133258xz^{5}t^{5}+27399689xz^{4}t^{6}-81983355xz^{3}t^{7}+217404563xz^{2}t^{8}-80756812xzt^{9}+7815xw^{10}-7100xw^{9}t-205318xw^{8}t^{2}-2711822xw^{7}t^{3}-4079732xw^{6}t^{4}-16187684xw^{5}t^{5}-14685400xw^{4}t^{6}+73968171xw^{3}t^{7}-220817685xw^{2}t^{8}+2197566386xwt^{9}+1793333418xt^{10}-54675y^{8}t^{3}-365229y^{7}t^{4}+476766y^{6}t^{5}+13848084y^{5}t^{6}+83110374y^{4}t^{7}+428608260y^{3}t^{8}+2714099805y^{2}t^{9}+1157771051ywt^{9}+3227352430yt^{10}+54675z^{8}t^{3}-365229z^{7}t^{4}-476766z^{6}t^{5}+468380z^{5}wt^{5}+13410684z^{5}t^{6}-11360462z^{4}wt^{6}-80522791z^{4}t^{7}+98827288z^{3}wt^{7}+423898472z^{3}t^{8}-455653317z^{2}wt^{8}-2693033258z^{2}t^{9}-4830zw^{10}+9215zw^{9}t+117811zw^{8}t^{2}-2507475zw^{7}t^{3}+4463355zw^{6}t^{4}+892211zw^{5}t^{5}+55980622zw^{4}t^{6}-79341166zw^{3}t^{7}-359890296zw^{2}t^{8}+5255058559zwt^{9}+3069897253zt^{10}+12645w^{11}-13330w^{10}t-326984w^{9}t^{2}-284849w^{8}t^{3}-12005052w^{7}t^{4}-19275076w^{6}t^{5}-61653391w^{5}t^{6}-50082657w^{4}t^{7}+149551477w^{3}t^{8}-4897574618w^{2}t^{9}-1962464311wt^{10}+3035450329t^{11}}$

Map of degree 1 from the embedded model of this modular curve to the plane model of the modular curve $X_0(30)$ :

$\displaystyle X$ $=$ $\displaystyle w$
$\displaystyle Y$ $=$ $\displaystyle z$
$\displaystyle Z$ $=$ $\displaystyle t$

Equation of the image curve:

$0$ $=$ $ X^{6}-2X^{4}Y^{2}+X^{3}Y^{3}+6X^{5}Z-12X^{4}YZ+8X^{3}Y^{2}Z-4X^{2}Y^{3}Z+XY^{4}Z+2X^{4}Z^{2}-6X^{3}YZ^{2}+2X^{2}Y^{2}Z^{2}-XY^{3}Z^{2}-5X^{3}Z^{3}+6X^{2}YZ^{3}-5XY^{2}Z^{3}+Y^{3}Z^{3}-4X^{2}Z^{4}+5XYZ^{4}-2Y^{2}Z^{4} $

Map of degree 1 from the embedded model of this modular curve to the Weierstrass model of the modular curve $X_0(30)$ :

$\displaystyle X$ $=$ $\displaystyle z^{3}w^{3}t+z^{3}wt^{3}+z^{2}w^{5}-4z^{2}w^{4}t-z^{2}w^{3}t^{2}-2z^{2}w^{2}t^{3}-z^{2}wt^{4}+z^{2}t^{5}-2zw^{6}+6zw^{5}t+3zw^{4}t^{2}+zw^{3}t^{3}-zw^{2}t^{4}-3zwt^{5}-2zt^{6}-7w^{6}t-7w^{5}t^{2}-3w^{4}t^{3}+w^{2}t^{5}+2wt^{6}$
$\displaystyle Y$ $=$ $\displaystyle -4z^{3}w^{24}t-31z^{3}w^{23}t^{2}-112z^{3}w^{22}t^{3}-248z^{3}w^{21}t^{4}-377z^{3}w^{20}t^{5}-417z^{3}w^{19}t^{6}-330z^{3}w^{18}t^{7}-133z^{3}w^{17}t^{8}+104z^{3}w^{16}t^{9}+280z^{3}w^{15}t^{10}+343z^{3}w^{14}t^{11}+315z^{3}w^{13}t^{12}+236z^{3}w^{12}t^{13}+148z^{3}w^{11}t^{14}+88z^{3}w^{10}t^{15}+55z^{3}w^{9}t^{16}+34z^{3}w^{8}t^{17}+23z^{3}w^{7}t^{18}+15z^{3}w^{6}t^{19}+7z^{3}w^{5}t^{20}+3z^{3}w^{4}t^{21}+z^{3}w^{3}t^{22}-4z^{2}w^{26}-16z^{2}w^{25}t+11z^{2}w^{24}t^{2}+217z^{2}w^{23}t^{3}+682z^{2}w^{22}t^{4}+1185z^{2}w^{21}t^{5}+1328z^{2}w^{20}t^{6}+941z^{2}w^{19}t^{7}+183z^{2}w^{18}t^{8}-605z^{2}w^{17}t^{9}-1016z^{2}w^{16}t^{10}-885z^{2}w^{15}t^{11}-476z^{2}w^{14}t^{12}-125z^{2}w^{13}t^{13}+26z^{2}w^{12}t^{14}-50z^{2}w^{11}t^{15}-233z^{2}w^{10}t^{16}-337z^{2}w^{9}t^{17}-329z^{2}w^{8}t^{18}-254z^{2}w^{7}t^{19}-148z^{2}w^{6}t^{20}-66z^{2}w^{5}t^{21}-24z^{2}w^{4}t^{22}-5z^{2}w^{3}t^{23}+7zw^{27}+30zw^{26}t-12zw^{25}t^{2}-383zw^{24}t^{3}-1245zw^{23}t^{4}-2108zw^{22}t^{5}-1997zw^{21}t^{6}-470zw^{20}t^{7}+1862zw^{19}t^{8}+3775zw^{18}t^{9}+4095zw^{17}t^{10}+2500zw^{16}t^{11}-34zw^{15}t^{12}-2078zw^{14}t^{13}-2845zw^{13}t^{14}-2328zw^{12}t^{15}-1107zw^{11}t^{16}+11zw^{10}t^{17}+607zw^{9}t^{18}+719zw^{8}t^{19}+539zw^{7}t^{20}+294zw^{6}t^{21}+124zw^{5}t^{22}+38zw^{4}t^{23}+6zw^{3}t^{24}-w^{28}+19w^{27}t+216w^{26}t^{2}+976w^{25}t^{3}+2605w^{24}t^{4}+4629w^{23}t^{5}+5678w^{22}t^{6}+4507w^{21}t^{7}+1089w^{20}t^{8}-3262w^{19}t^{9}-6557w^{18}t^{10}-7293w^{17}t^{11}-5495w^{16}t^{12}-2500w^{15}t^{13}+192w^{14}t^{14}+1673w^{13}t^{15}+1845w^{12}t^{16}+1269w^{11}t^{17}+583w^{10}t^{18}+109w^{9}t^{19}-90w^{8}t^{20}-103w^{7}t^{21}-60w^{6}t^{22}-24w^{5}t^{23}-5w^{4}t^{24}$
$\displaystyle Z$ $=$ $\displaystyle w^{7}+2w^{6}t+w^{5}t^{2}-w^{4}t^{3}-w^{3}t^{4}-w^{2}t^{5}-wt^{6}$

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
$X_0(5)$ $5$ $24$ $12$ $0$ $0$ full Jacobian
12.24.0-6.a.1.6 $12$ $6$ $6$ $0$ $0$ full Jacobian

This modular curve minimally covers the modular curves listed below.

Covered curve Level Index Degree Genus Rank Kernel decomposition
12.24.0-6.a.1.6 $12$ $6$ $6$ $0$ $0$ 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
60.288.5-30.a.1.18 $60$ $2$ $2$ $5$ $0$ $2$
60.288.5-30.a.2.11 $60$ $2$ $2$ $5$ $0$ $2$
60.288.5-30.b.1.8 $60$ $2$ $2$ $5$ $0$ $2$
60.288.5-30.b.2.9 $60$ $2$ $2$ $5$ $0$ $2$
60.288.7-30.a.1.18 $60$ $2$ $2$ $7$ $0$ $1^{4}$
60.288.7-30.b.1.22 $60$ $2$ $2$ $7$ $0$ $1^{4}$
60.288.7-30.c.1.15 $60$ $2$ $2$ $7$ $0$ $1^{4}$
60.288.7-30.d.1.19 $60$ $2$ $2$ $7$ $2$ $1^{4}$
60.288.7-30.e.1.14 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-30.e.2.15 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-30.f.1.19 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-30.f.2.19 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.432.11-30.a.1.21 $60$ $3$ $3$ $11$ $0$ $1^{8}$
60.720.19-30.a.1.5 $60$ $5$ $5$ $19$ $0$ $1^{16}$
60.288.5-60.oc.1.7 $60$ $2$ $2$ $5$ $0$ $2$
60.288.5-60.oc.2.7 $60$ $2$ $2$ $5$ $0$ $2$
60.288.5-60.od.1.7 $60$ $2$ $2$ $5$ $0$ $2$
60.288.5-60.od.2.7 $60$ $2$ $2$ $5$ $0$ $2$
60.288.7-60.fm.1.31 $60$ $2$ $2$ $7$ $0$ $1^{4}$
60.288.7-60.gw.1.17 $60$ $2$ $2$ $7$ $0$ $1^{4}$
60.288.7-60.gx.1.34 $60$ $2$ $2$ $7$ $0$ $1^{4}$
60.288.7-60.jy.1.28 $60$ $2$ $2$ $7$ $1$ $1^{4}$
60.288.7-60.jz.1.1 $60$ $2$ $2$ $7$ $1$ $1^{4}$
60.288.7-60.ka.1.2 $60$ $2$ $2$ $7$ $0$ $1^{4}$
60.288.7-60.lv.1.22 $60$ $2$ $2$ $7$ $1$ $1^{4}$
60.288.7-60.lw.1.18 $60$ $2$ $2$ $7$ $1$ $1^{4}$
60.288.7-60.lx.1.20 $60$ $2$ $2$ $7$ $0$ $1^{4}$
60.288.7-60.ly.1.28 $60$ $2$ $2$ $7$ $4$ $1^{4}$
60.288.7-60.lz.1.2 $60$ $2$ $2$ $7$ $4$ $1^{4}$
60.288.7-60.ma.1.4 $60$ $2$ $2$ $7$ $2$ $1^{4}$
60.288.7-60.mb.1.7 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.mb.2.6 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.mc.1.8 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.mc.2.8 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.md.1.26 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.md.2.26 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.me.1.11 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.me.2.10 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.mf.1.12 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.mf.2.12 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.mg.1.18 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.7-60.mg.2.18 $60$ $2$ $2$ $7$ $0$ $2^{2}$
60.288.9-60.fm.1.11 $60$ $2$ $2$ $9$ $0$ $2^{3}$
60.288.9-60.fm.2.10 $60$ $2$ $2$ $9$ $0$ $2^{3}$
60.288.9-60.fn.1.12 $60$ $2$ $2$ $9$ $0$ $2^{3}$
60.288.9-60.fn.2.12 $60$ $2$ $2$ $9$ $0$ $2^{3}$
60.288.9-60.fo.1.19 $60$ $2$ $2$ $9$ $0$ $2^{3}$
60.288.9-60.fo.2.18 $60$ $2$ $2$ $9$ $0$ $2^{3}$
60.288.9-60.fp.1.20 $60$ $2$ $2$ $9$ $0$ $2^{3}$
60.288.9-60.fp.2.20 $60$ $2$ $2$ $9$ $0$ $2^{3}$
60.288.9-60.fq.1.23 $60$ $2$ $2$ $9$ $3$ $1^{6}$
60.288.9-60.fr.1.30 $60$ $2$ $2$ $9$ $0$ $1^{6}$
60.288.9-60.fs.1.7 $60$ $2$ $2$ $9$ $1$ $1^{6}$
60.288.9-60.ft.1.14 $60$ $2$ $2$ $9$ $4$ $1^{6}$
60.288.9-60.fu.1.24 $60$ $2$ $2$ $9$ $2$ $1^{6}$
60.288.9-60.fv.1.32 $60$ $2$ $2$ $9$ $1$ $1^{6}$
60.288.9-60.fw.1.8 $60$ $2$ $2$ $9$ $0$ $1^{6}$
60.288.9-60.fx.1.32 $60$ $2$ $2$ $9$ $1$ $1^{6}$
180.432.11-90.a.1.36 $180$ $3$ $3$ $11$ $?$ not computed
180.432.15-90.c.1.13 $180$ $3$ $3$ $15$ $?$ not computed
180.432.15-90.d.1.9 $180$ $3$ $3$ $15$ $?$ not computed
120.288.5-120.ebg.1.17 $120$ $2$ $2$ $5$ $?$ not computed
120.288.5-120.ebg.2.17 $120$ $2$ $2$ $5$ $?$ not computed
120.288.5-120.ebh.1.33 $120$ $2$ $2$ $5$ $?$ not computed
120.288.5-120.ebh.2.33 $120$ $2$ $2$ $5$ $?$ not computed
120.288.5-120.ebi.1.3 $120$ $2$ $2$ $5$ $?$ not computed
120.288.5-120.ebi.2.5 $120$ $2$ $2$ $5$ $?$ not computed
120.288.5-120.ebj.1.3 $120$ $2$ $2$ $5$ $?$ not computed
120.288.5-120.ebj.2.5 $120$ $2$ $2$ $5$ $?$ not computed
120.288.7-120.brf.1.33 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.ccb.1.17 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.duh.1.26 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.dui.1.50 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.gsv.1.33 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.gsw.1.9 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.gsx.1.42 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.gsy.1.42 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hml.1.33 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmm.1.17 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmn.1.26 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmo.1.50 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmp.1.33 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmq.1.9 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmr.1.42 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hms.1.42 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmt.1.36 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmt.2.38 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmu.1.20 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmu.2.22 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmv.1.33 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmv.2.33 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmw.1.33 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmw.2.33 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmx.1.50 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmx.2.50 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmy.1.26 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmy.2.26 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmz.1.34 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hmz.2.35 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hna.1.34 $120$ $2$ $2$ $7$ $?$ not computed
120.288.7-120.hna.2.35 $120$ $2$ $2$ $7$ $?$ not computed
120.288.9-120.ruw.1.3 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.ruw.2.5 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rux.1.3 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rux.2.5 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.ruy.1.17 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.ruy.2.17 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.ruz.1.9 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.ruz.2.9 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rva.1.13 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rvb.1.21 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rvc.1.13 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rvd.1.37 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rve.1.13 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rvf.1.21 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rvg.1.13 $120$ $2$ $2$ $9$ $?$ not computed
120.288.9-120.rvh.1.37 $120$ $2$ $2$ $9$ $?$ not computed