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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
144.1.g.a 144.g 4.b $1$ $0.072$ \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{3}) \) \(0\) \(0\) \(0\) \(0\) \(q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots\)
144.2.a.a 144.a 1.a $1$ $1.150$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(4\) $-$ $N(\mathrm{U}(1))$ \(q+4q^{7}+2q^{13}-8q^{19}-5q^{25}+4q^{31}+\cdots\)
144.2.a.b 144.a 1.a $1$ $1.150$ \(\Q\) None None \(0\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{11}-2q^{13}-2q^{17}+4q^{19}+\cdots\)
144.2.c.a 144.c 12.b $2$ $1.150$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta q^{5}+4q^{13}-\beta q^{17}-13q^{25}+\cdots\)
144.2.i.a 144.i 9.c $2$ $1.150$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-3\) \(-1\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1-2\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots\)
144.2.i.b 144.i 9.c $2$ $1.150$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(1\) \(-3\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-1+2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+\cdots\)
144.2.i.c 144.i 9.c $2$ $1.150$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(0\) \(2\) $\mathrm{SU}(2)[C_{3}]$ \(q+(1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots\)
144.2.i.d 144.i 9.c $4$ $1.150$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(-1\) \(1\) \(3\) $\mathrm{SU}(2)[C_{3}]$ \(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2}-2\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
144.2.k.a 144.k 16.e $2$ $1.150$ \(\Q(\sqrt{-1}) \) None None \(2\) \(0\) \(2\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+(1+i)q^{2}+2iq^{4}+(1+i)q^{5}-2iq^{7}+\cdots\)
144.2.k.b 144.k 16.e $8$ $1.150$ 8.0.18939904.2 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{6}q^{2}+(-1-\beta _{1}-\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
144.2.k.c 144.k 16.e $8$ $1.150$ 8.0.629407744.1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{4}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
144.2.l.a 144.l 48.k $16$ $1.150$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{11}q^{2}-\beta _{7}q^{4}+\beta _{6}q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots\)
144.2.s.a 144.s 36.h $2$ $1.150$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(-6\) \(-6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-1-\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+(-2+\cdots)q^{7}+\cdots\)
144.2.s.b 144.s 36.h $2$ $1.150$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(3\) \(-3\) $\mathrm{SU}(2)[C_{6}]$ \(q+(1-2\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(-1-\zeta_{6})q^{7}+\cdots\)
144.2.s.c 144.s 36.h $2$ $1.150$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(3\) \(3\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-1+2\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(1+\zeta_{6})q^{7}+\cdots\)
144.2.s.d 144.s 36.h $2$ $1.150$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(-6\) \(6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(1+\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+(2+2\zeta_{6})q^{7}+\cdots\)
144.2.s.e 144.s 36.h $4$ $1.150$ \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(6\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q-\zeta_{12}^{3}q^{3}+(1+\zeta_{12})q^{5}+(-\zeta_{12}^{2}+\cdots)q^{7}+\cdots\)
144.2.u.a 144.u 144.u $88$ $1.150$ None None \(-6\) \(-4\) \(-6\) \(-4\) $\mathrm{SU}(2)[C_{12}]$
144.2.x.a 144.x 144.x $4$ $1.150$ \(\Q(\zeta_{12})\) None None \(-4\) \(0\) \(-4\) \(12\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-1-\zeta_{12}^{3})q^{2}+(2\zeta_{12}-\zeta_{12}^{3})q^{3}+\cdots\)
144.2.x.b 144.x 144.x $4$ $1.150$ \(\Q(\zeta_{12})\) None None \(-2\) \(-6\) \(-8\) \(-6\) $\mathrm{SU}(2)[C_{12}]$ \(q+(\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(-2+\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
144.2.x.c 144.x 144.x $4$ $1.150$ \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(4\) \(6\) $\mathrm{SU}(2)[C_{12}]$ \(q+(\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\cdots\)
144.2.x.d 144.x 144.x $4$ $1.150$ \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(2\) \(-12\) $\mathrm{SU}(2)[C_{12}]$ \(q+(1+\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1+2\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
144.2.x.e 144.x 144.x $72$ $1.150$ None None \(4\) \(2\) \(4\) \(0\) $\mathrm{SU}(2)[C_{12}]$
144.3.e.a 144.e 3.b $2$ $3.924$ \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-24\) $\mathrm{SU}(2)[C_{2}]$ \(q+5\beta q^{5}-12q^{7}+4\beta q^{11}-8q^{13}+\cdots\)
144.3.e.b 144.e 3.b $2$ $3.924$ \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(8\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{5}+4q^{7}+4\beta q^{11}+8q^{13}+3\beta q^{17}+\cdots\)
144.3.g.a 144.g 4.b $1$ $3.924$ \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(6\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+6q^{5}+10q^{13}+30q^{17}+11q^{25}+\cdots\)
144.3.g.b 144.g 4.b $2$ $3.924$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-12\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-6q^{5}-\zeta_{6}q^{7}-3\zeta_{6}q^{11}-14q^{13}+\cdots\)
144.3.g.c 144.g 4.b $2$ $3.924$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-\zeta_{6}q^{7}+22q^{13}-2\zeta_{6}q^{19}-5^{2}q^{25}+\cdots\)
144.3.j.a 144.j 48.i $32$ $3.924$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$
144.3.m.a 144.m 16.f $6$ $3.924$ 6.0.399424.1 None None \(2\) \(0\) \(2\) \(-4\) $\mathrm{SU}(2)[C_{4}]$ \(q+\beta _{3}q^{2}+(-1-\beta _{1}+\beta _{4}-\beta _{5})q^{4}+\cdots\)
144.3.m.b 144.m 16.f $16$ $3.924$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{4}q^{2}+(-1-\beta _{2})q^{4}+\beta _{8}q^{5}+(\beta _{11}+\cdots)q^{7}+\cdots\)
144.3.m.c 144.m 16.f $16$ $3.924$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{2}q^{2}+(1-\beta _{1})q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
144.3.o.a 144.o 36.f $8$ $3.924$ 8.0.856615824.2 None None \(0\) \(-3\) \(3\) \(3\) $\mathrm{SU}(2)[C_{6}]$ \(q+(1-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
144.3.o.b 144.o 36.f $8$ $3.924$ 8.0.121550625.1 None None \(0\) \(0\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{6}]$ \(q+(\beta _{2}+\beta _{5})q^{3}+(-1-\beta _{1}-\beta _{7})q^{5}+\cdots\)
144.3.o.c 144.o 36.f $8$ $3.924$ 8.0.856615824.2 None None \(0\) \(3\) \(3\) \(-3\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\beta _{3}+\beta _{4})q^{3}+(1-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots\)
144.3.q.a 144.q 9.d $2$ $3.924$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(6\) \(2\) $\mathrm{SU}(2)[C_{6}]$ \(q+(3-3\zeta_{6})q^{3}+(4-2\zeta_{6})q^{5}+(2-2\zeta_{6})q^{7}+\cdots\)
144.3.q.b 144.q 9.d $4$ $3.924$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(-3\) \(9\) \(1\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-1+\beta _{3})q^{3}+(4-\beta _{1}+2\beta _{2}-\beta _{3})q^{5}+\cdots\)
144.3.q.c 144.q 9.d $4$ $3.924$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(-18\) \(-2\) $\mathrm{SU}(2)[C_{6}]$ \(q+(1-2\beta _{1}-\beta _{3})q^{3}+(-3-3\beta _{1})q^{5}+\cdots\)
144.3.q.d 144.q 9.d $4$ $3.924$ \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(12\) \(6\) \(6\) $\mathrm{SU}(2)[C_{6}]$ \(q+3q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(\beta _{1}+3\beta _{2}+\cdots)q^{7}+\cdots\)
144.3.q.e 144.q 9.d $8$ $3.924$ 8.0.\(\cdots\).9 None None \(0\) \(-10\) \(-6\) \(-6\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-1+\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
144.3.v.a 144.v 144.v $184$ $3.924$ None None \(-2\) \(-4\) \(-2\) \(-4\) $\mathrm{SU}(2)[C_{12}]$
144.3.w.a 144.w 144.w $184$ $3.924$ None None \(-6\) \(-4\) \(-6\) \(0\) $\mathrm{SU}(2)[C_{12}]$
144.4.a.a 144.a 1.a $1$ $8.496$ \(\Q\) None None \(0\) \(0\) \(-16\) \(12\) $+$ $\mathrm{SU}(2)$ \(q-2^{4}q^{5}+12q^{7}+2^{6}q^{11}+58q^{13}+\cdots\)
144.4.a.b 144.a 1.a $1$ $8.496$ \(\Q\) None None \(0\) \(0\) \(-14\) \(24\) $-$ $\mathrm{SU}(2)$ \(q-14q^{5}+24q^{7}-28q^{11}-74q^{13}+\cdots\)
144.4.a.c 144.a 1.a $1$ $8.496$ \(\Q\) None None \(0\) \(0\) \(-6\) \(16\) $+$ $\mathrm{SU}(2)$ \(q-6q^{5}+2^{4}q^{7}+12q^{11}+38q^{13}+\cdots\)
144.4.a.d 144.a 1.a $1$ $8.496$ \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-20\) $-$ $N(\mathrm{U}(1))$ \(q-20q^{7}-70q^{13}-56q^{19}-5^{3}q^{25}+\cdots\)
144.4.a.e 144.a 1.a $1$ $8.496$ \(\Q\) None None \(0\) \(0\) \(2\) \(-24\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}-24q^{7}-44q^{11}+22q^{13}+\cdots\)
144.4.a.f 144.a 1.a $1$ $8.496$ \(\Q\) None None \(0\) \(0\) \(16\) \(12\) $+$ $\mathrm{SU}(2)$ \(q+2^{4}q^{5}+12q^{7}-2^{6}q^{11}+58q^{13}+\cdots\)
144.4.a.g 144.a 1.a $1$ $8.496$ \(\Q\) None None \(0\) \(0\) \(18\) \(-8\) $+$ $\mathrm{SU}(2)$ \(q+18q^{5}-8q^{7}+6^{2}q^{11}-10q^{13}+\cdots\)
144.4.c.a 144.c 12.b $2$ $8.496$ \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta q^{5}-92q^{13}+11\beta q^{17}-37q^{25}+\cdots\)
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