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Label Char Prim Dim $A$ Field CM RM Minimal twist Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1425.1.j.a 1425.j 285.j $2$ $0.711$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \) None 1425.1.j.a \(-2\) \(0\) \(0\) \(0\) \(q+(-1-i)q^{2}-iq^{3}+iq^{4}+(-1+\cdots)q^{6}+\cdots\)
1425.1.j.b 1425.j 285.j $2$ $0.711$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \) None 1425.1.j.a \(-2\) \(2\) \(0\) \(0\) \(q+(-1-i)q^{2}+q^{3}+iq^{4}+(-1-i+\cdots)q^{6}+\cdots\)
1425.1.j.c 1425.j 285.j $2$ $0.711$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \) None 1425.1.j.a \(2\) \(-2\) \(0\) \(0\) \(q+(1+i)q^{2}-q^{3}+iq^{4}+(-1-i+\cdots)q^{6}+\cdots\)
1425.1.j.d 1425.j 285.j $2$ $0.711$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \) None 1425.1.j.a \(2\) \(0\) \(0\) \(0\) \(q+(1+i)q^{2}+iq^{3}+iq^{4}+(-1+i+\cdots)q^{6}+\cdots\)
1425.1.j.e 1425.j 285.j $4$ $0.711$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-95}) \) \(\Q(\sqrt{285}) \) 1425.1.j.e \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{2}q^{9}+\zeta_{8}q^{12}+\cdots\)
1425.1.j.f 1425.j 285.j $4$ $0.711$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-95}) \) \(\Q(\sqrt{57}) \) 1425.1.j.f \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}+\zeta_{8}q^{3}-3\zeta_{8}^{2}q^{4}+2q^{6}+\cdots\)
1425.1.j.g 1425.j 285.j $8$ $0.711$ \(\Q(\zeta_{24})\) None \(\Q(\sqrt{57}) \) 1425.1.j.g \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{9}q^{2}-\zeta_{24}^{3}q^{3}-q^{6}+(-\zeta_{24}^{7}+\cdots)q^{7}+\cdots\)
1425.1.o.a 1425.o 285.n $4$ $0.711$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None 57.1.h.a \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{7}+\cdots\)
1425.1.t.a 1425.t 57.h $2$ $0.711$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None 57.1.h.a \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{7}-\zeta_{6}q^{9}-q^{12}+\cdots\)
1425.1.t.b 1425.t 57.h $4$ $0.711$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \) None 285.1.n.a \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{6}+\cdots\)
1425.1.be.a 1425.be 285.w $8$ $0.711$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None 1425.1.be.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}+(-\zeta_{24}-\zeta_{24}^{5}+\cdots)q^{7}+\cdots\)
1425.1.be.b 1425.be 285.w $8$ $0.711$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-15}) \) None 1425.1.be.b \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}+\zeta_{24}q^{3}-\zeta_{24}^{8}q^{6}-\zeta_{24}^{9}q^{8}+\cdots\)
1425.1.bk.a 1425.bk 57.l $6$ $0.711$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None 1425.1.bk.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{3}-\zeta_{18}^{7}q^{4}+(\zeta_{18}^{2}+\zeta_{18}^{4}+\cdots)q^{7}+\cdots\)
1425.1.bk.b 1425.bk 57.l $6$ $0.711$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None 1425.1.bk.a \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{5}q^{3}-\zeta_{18}^{7}q^{4}+(-\zeta_{18}^{2}-\zeta_{18}^{4}+\cdots)q^{7}+\cdots\)
1425.1.bk.c 1425.bk 57.l $12$ $0.711$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-15}) \) None 285.1.bd.a \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{36}^{3}-\zeta_{36}^{11})q^{2}-\zeta_{36}q^{3}+\cdots\)
1425.1.bm.a 1425.bm 285.ad $12$ $0.711$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-3}) \) None 1425.1.bk.a \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{7}q^{3}-\zeta_{36}^{8}q^{4}+(-\zeta_{36}+\zeta_{36}^{11}+\cdots)q^{7}+\cdots\)
1425.1.cd.a 1425.cd 285.aj $24$ $0.711$ \(\Q(\zeta_{72})\) \(\Q(\sqrt{-15}) \) None 1425.1.cd.a \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{72}^{3}+\zeta_{72}^{35})q^{2}+\zeta_{72}^{13}q^{3}+\cdots\)
1425.1.cd.b 1425.cd 285.aj $24$ $0.711$ \(\Q(\zeta_{72})\) \(\Q(\sqrt{-3}) \) None 1425.1.cd.b \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{72}^{31}q^{3}+\zeta_{72}^{2}q^{4}+(\zeta_{72}^{5}+\zeta_{72}^{25}+\cdots)q^{7}+\cdots\)
1425.2.a.a 1425.a 1.a $1$ $11.379$ \(\Q\) None None 57.2.a.c \(-1\) \(-1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots\)
1425.2.a.b 1425.a 1.a $1$ $11.379$ \(\Q\) None None 1425.2.a.b \(-1\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots\)
1425.2.a.c 1425.a 1.a $1$ $11.379$ \(\Q\) None None 285.2.a.c \(-1\) \(1\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{6}-4q^{7}+3q^{8}+\cdots\)
1425.2.a.d 1425.a 1.a $1$ $11.379$ \(\Q\) None None 285.2.a.b \(-1\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{6}+2q^{7}+3q^{8}+\cdots\)
1425.2.a.e 1425.a 1.a $1$ $11.379$ \(\Q\) None None 1425.2.a.e \(-1\) \(1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}-q^{6}+4q^{7}+3q^{8}+\cdots\)
1425.2.a.f 1425.a 1.a $1$ $11.379$ \(\Q\) None None 1425.2.a.e \(1\) \(-1\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}-q^{6}-4q^{7}-3q^{8}+\cdots\)
1425.2.a.g 1425.a 1.a $1$ $11.379$ \(\Q\) None None 285.2.a.a \(1\) \(-1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}-q^{6}+2q^{7}-3q^{8}+\cdots\)
1425.2.a.h 1425.a 1.a $1$ $11.379$ \(\Q\) None None 1425.2.a.b \(1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots\)
1425.2.a.i 1425.a 1.a $1$ $11.379$ \(\Q\) None None 57.2.a.b \(2\) \(-1\) \(0\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-3q^{7}+\cdots\)
1425.2.a.j 1425.a 1.a $1$ $11.379$ \(\Q\) None None 57.2.a.a \(2\) \(1\) \(0\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+5q^{7}+\cdots\)
1425.2.a.k 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{2}) \) None None 285.2.a.g \(-2\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(1+\cdots)q^{6}+\cdots\)
1425.2.a.l 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{2}) \) None None 285.2.a.f \(-2\) \(2\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
1425.2.a.m 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{5}) \) None None 1425.2.a.m \(-1\) \(-2\) \(0\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1425.2.a.n 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{5}) \) None None 1425.2.a.n \(-1\) \(2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
1425.2.a.o 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{3}) \) None None 285.2.a.e \(0\) \(-2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}+(1+\beta )q^{7}+\cdots\)
1425.2.a.p 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{7}) \) None None 285.2.a.d \(0\) \(2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+5q^{4}+\beta q^{6}+(1-\beta )q^{7}+\cdots\)
1425.2.a.q 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{5}) \) None None 1425.2.a.n \(1\) \(-2\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
1425.2.a.r 1425.a 1.a $2$ $11.379$ \(\Q(\sqrt{5}) \) None None 1425.2.a.m \(1\) \(2\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1425.2.a.s 1425.a 1.a $3$ $11.379$ 3.3.148.1 None None 285.2.c.a \(-1\) \(3\) \(0\) \(-8\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.t 1425.a 1.a $3$ $11.379$ 3.3.837.1 None None 1425.2.a.t \(0\) \(-3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.u 1425.a 1.a $3$ $11.379$ 3.3.621.1 None None 1425.2.a.u \(0\) \(-3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.v 1425.a 1.a $3$ $11.379$ 3.3.621.1 None None 1425.2.a.u \(0\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.w 1425.a 1.a $3$ $11.379$ 3.3.837.1 None None 1425.2.a.t \(0\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.x 1425.a 1.a $3$ $11.379$ 3.3.148.1 None None 285.2.c.a \(1\) \(-3\) \(0\) \(8\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.y 1425.a 1.a $7$ $11.379$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None 285.2.c.b \(-3\) \(-7\) \(0\) \(-8\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
1425.2.a.z 1425.a 1.a $7$ $11.379$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None 285.2.c.b \(3\) \(7\) \(0\) \(8\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
1425.2.c.a 1425.c 5.b $2$ $11.379$ \(\Q(\sqrt{-1}) \) None None 57.2.a.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{2}+iq^{3}-2q^{4}-2q^{6}-3iq^{7}+\cdots\)
1425.2.c.b 1425.c 5.b $2$ $11.379$ \(\Q(\sqrt{-1}) \) None None 57.2.a.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+2iq^{2}-iq^{3}-2q^{4}+2q^{6}+5iq^{7}+\cdots\)
1425.2.c.c 1425.c 5.b $2$ $11.379$ \(\Q(\sqrt{-1}) \) None None 285.2.a.a \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}+q^{4}-q^{6}+2iq^{7}+\cdots\)
1425.2.c.d 1425.c 5.b $2$ $11.379$ \(\Q(\sqrt{-1}) \) None None 285.2.a.b \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}+q^{4}-q^{6}-2iq^{7}+\cdots\)
1425.2.c.e 1425.c 5.b $2$ $11.379$ \(\Q(\sqrt{-1}) \) None None 1425.2.a.e \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}+q^{4}-q^{6}-4iq^{7}+\cdots\)
1425.2.c.f 1425.c 5.b $2$ $11.379$ \(\Q(\sqrt{-1}) \) None None 285.2.a.c \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}+q^{4}-q^{6}+4iq^{7}+\cdots\)
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