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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3360.1.bn.a 3360.bn 105.k $4$ $1.677$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
3360.1.bn.b 3360.bn 105.k $4$ $1.677$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}+\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
3360.1.bn.c 3360.bn 105.k $4$ $1.677$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}-\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
3360.1.bn.d 3360.bn 105.k $4$ $1.677$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
3360.1.cv.a 3360.cv 840.ap $4$ $1.677$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{3}-\zeta_{8}q^{5}-\zeta_{8}^{2}q^{7}-\zeta_{8}^{2}q^{9}+\cdots\)
3360.1.cv.b 3360.cv 840.ap $4$ $1.677$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{8}^{3}q^{3}-\zeta_{8}q^{5}+q^{7}-\zeta_{8}^{2}q^{9}+\cdots\)
3360.1.cv.c 3360.cv 840.ap $8$ $1.677$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{3}-\zeta_{16}q^{5}-\zeta_{16}^{6}q^{7}+\zeta_{16}^{2}q^{9}+\cdots\)
3360.1.cv.d 3360.cv 840.ap $8$ $1.677$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{3}q^{3}+\zeta_{16}q^{5}-\zeta_{16}^{6}q^{7}+\zeta_{16}^{6}q^{9}+\cdots\)
3360.1.dm.a 3360.dm 840.bg $4$ $1.677$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}q^{3}+\zeta_{12}^{3}q^{5}+\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3360.1.dm.b 3360.dm 840.bg $4$ $1.677$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{12}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3360.1.ds.a 3360.ds 105.o $8$ $1.677$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{9}q^{3}+\zeta_{24}^{2}q^{5}+\zeta_{24}^{7}q^{7}+\cdots\)
3360.1.ds.b 3360.ds 105.o $8$ $1.677$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{3}+\zeta_{24}^{2}q^{5}-\zeta_{24}q^{7}+\zeta_{24}^{10}q^{9}+\cdots\)
3360.1.ft.a 3360.ft 840.ch $8$ $1.677$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-4\) \(q+\zeta_{24}^{5}q^{3}-\zeta_{24}^{11}q^{5}+\zeta_{24}^{8}q^{7}+\cdots\)
3360.1.ft.b 3360.ft 840.ch $8$ $1.677$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{3}+\zeta_{24}^{3}q^{5}+\zeta_{24}^{2}q^{7}+\cdots\)
3360.2.a.a 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
3360.2.a.b 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+q^{15}+\cdots\)
3360.2.a.c 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
3360.2.a.d 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
3360.2.a.e 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
3360.2.a.f 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
3360.2.a.g 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
3360.2.a.h 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
3360.2.a.i 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
3360.2.a.j 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots\)
3360.2.a.k 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+2q^{13}-q^{15}+\cdots\)
3360.2.a.l 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
3360.2.a.m 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots\)
3360.2.a.n 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3360.2.a.o 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}+2q^{13}-q^{15}+\cdots\)
3360.2.a.p 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
3360.2.a.q 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
3360.2.a.r 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}-q^{15}+\cdots\)
3360.2.a.s 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
3360.2.a.t 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots\)
3360.2.a.u 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
3360.2.a.v 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
3360.2.a.w 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
3360.2.a.x 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
3360.2.a.y 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
3360.2.a.z 3360.a 1.a $1$ $26.830$ \(\Q\) None None \(0\) \(1\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
3360.2.a.ba 3360.a 1.a $2$ $26.830$ \(\Q(\sqrt{17}) \) None None \(0\) \(-2\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}+q^{9}+(-1-\beta )q^{11}+\cdots\)
3360.2.a.bb 3360.a 1.a $2$ $26.830$ \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
3360.2.a.bc 3360.a 1.a $2$ $26.830$ \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
3360.2.a.bd 3360.a 1.a $2$ $26.830$ \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+\beta q^{13}-q^{15}+\cdots\)
3360.2.a.be 3360.a 1.a $2$ $26.830$ \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
3360.2.a.bf 3360.a 1.a $2$ $26.830$ \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
3360.2.a.bg 3360.a 1.a $2$ $26.830$ \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}+q^{9}+(1+\beta )q^{11}+\cdots\)
3360.2.a.bh 3360.a 1.a $2$ $26.830$ \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}+\beta q^{13}+q^{15}+\cdots\)
3360.2.a.bi 3360.a 1.a $3$ $26.830$ 3.3.148.1 None None \(0\) \(-3\) \(3\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}+q^{9}+(-1+\beta _{2})q^{11}+\cdots\)
3360.2.a.bj 3360.a 1.a $3$ $26.830$ 3.3.148.1 None None \(0\) \(3\) \(3\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}+q^{9}+(1-\beta _{2})q^{11}+\cdots\)
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