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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3465.1.e.a 3465.e 1155.e $8$ $1.729$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(-8\) \(0\) \(q+(-\zeta_{16}^{3}-\zeta_{16}^{5})q^{2}+(-1-\zeta_{16}^{2}+\cdots)q^{4}+\cdots\)
3465.1.e.b 3465.e 1155.e $8$ $1.729$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(8\) \(0\) \(q+(\zeta_{16}^{3}+\zeta_{16}^{5})q^{2}+(-1-\zeta_{16}^{2}+\cdots)q^{4}+\cdots\)
3465.1.u.a 3465.u 385.l $4$ $1.729$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-231}) \) None \(-4\) \(0\) \(0\) \(0\) \(q+(-1+\zeta_{8}^{2})q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots\)
3465.1.u.b 3465.u 385.l $4$ $1.729$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-231}) \) None \(4\) \(0\) \(0\) \(0\) \(q+(1-\zeta_{8}^{2})q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots\)
3465.1.u.c 3465.u 385.l $8$ $1.729$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-231}) \) None \(-4\) \(0\) \(0\) \(0\) \(q+(-\zeta_{24}^{2}-\zeta_{24}^{4})q^{2}+(\zeta_{24}^{4}+\zeta_{24}^{6}+\cdots)q^{4}+\cdots\)
3465.1.u.d 3465.u 385.l $8$ $1.729$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-231}) \) None \(4\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}^{2}+\zeta_{24}^{4})q^{2}+(\zeta_{24}^{4}+\zeta_{24}^{6}+\cdots)q^{4}+\cdots\)
3465.1.br.a 3465.br 3465.ar $4$ $1.729$ \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(0\) \(-4\) \(q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{3}q^{5}+\cdots\)
3465.1.br.b 3465.br 3465.ar $4$ $1.729$ \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(0\) \(4\) \(q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{3}q^{5}+\cdots\)
3465.1.cd.a 3465.cd 385.q $2$ $1.729$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-55}) \) None \(-1\) \(0\) \(1\) \(2\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{5}+q^{7}-q^{8}+\zeta_{6}q^{10}+\cdots\)
3465.1.cd.b 3465.cd 385.q $2$ $1.729$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-55}) \) None \(1\) \(0\) \(1\) \(-2\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{5}-q^{7}+q^{8}-\zeta_{6}q^{10}+\cdots\)
3465.1.cd.c 3465.cd 385.q $4$ $1.729$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{3})q^{2}+(-1+\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
3465.1.cd.d 3465.cd 385.q $8$ $1.729$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+(-\zeta_{24}^{9}+\zeta_{24}^{11})q^{2}+(-\zeta_{24}^{6}+\cdots)q^{4}+\cdots\)
3465.1.cd.e 3465.cd 385.q $8$ $1.729$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(4\) \(0\) \(q+(-\zeta_{24}^{3}-\zeta_{24}^{5})q^{2}+(\zeta_{24}^{6}+\zeta_{24}^{8}+\cdots)q^{4}+\cdots\)
3465.1.cg.a 3465.cg 1155.ah $16$ $1.729$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(-8\) \(0\) \(q+(\zeta_{48}^{3}+\zeta_{48}^{5})q^{2}+(\zeta_{48}^{6}+\zeta_{48}^{8}+\cdots)q^{4}+\cdots\)
3465.1.cg.b 3465.cg 1155.ah $16$ $1.729$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(8\) \(0\) \(q+(-\zeta_{48}^{3}-\zeta_{48}^{5})q^{2}+(\zeta_{48}^{6}+\zeta_{48}^{8}+\cdots)q^{4}+\cdots\)
3465.1.cz.a 3465.cz 3465.bz $4$ $1.729$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}+\cdots\)
3465.1.cz.b 3465.cz 3465.bz $4$ $1.729$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}+\cdots\)
3465.1.de.a 3465.de 3465.ce $4$ $1.729$ \(\Q(\zeta_{12})\) None None \(-4\) \(0\) \(0\) \(-2\) \(q-q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{6}+\cdots\)
3465.1.de.b 3465.de 3465.ce $4$ $1.729$ \(\Q(\zeta_{12})\) None None \(4\) \(0\) \(0\) \(2\) \(q+q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{6}+\cdots\)
3465.1.dt.a 3465.dt 385.y $4$ $1.729$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(-1\) \(1\) \(q-\zeta_{10}^{3}q^{4}-\zeta_{10}q^{5}+\zeta_{10}^{3}q^{7}-\zeta_{10}^{4}q^{11}+\cdots\)
3465.1.dt.b 3465.dt 385.y $4$ $1.729$ \(\Q(\zeta_{10})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(1\) \(-1\) \(q-\zeta_{10}^{3}q^{4}+\zeta_{10}q^{5}-\zeta_{10}^{3}q^{7}-\zeta_{10}^{4}q^{11}+\cdots\)
3465.1.gd.a 3465.gd 3465.fd $16$ $1.729$ \(\Q(\zeta_{60})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{60}^{15}q^{3}-\zeta_{60}^{22}q^{4}+\zeta_{60}^{19}q^{5}+\cdots\)
3465.1.gd.b 3465.gd 3465.fd $16$ $1.729$ \(\Q(\zeta_{60})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{60}^{21}q^{3}-\zeta_{60}^{22}q^{4}+\zeta_{60}^{19}q^{5}+\cdots\)
3465.1.gm.a 3465.gm 3465.fm $8$ $1.729$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-35}) \) None \(0\) \(-8\) \(-1\) \(-1\) \(q-q^{3}-\zeta_{30}^{13}q^{4}+\zeta_{30}q^{5}-\zeta_{30}^{8}q^{7}+\cdots\)
3465.1.gm.b 3465.gm 3465.fm $8$ $1.729$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-35}) \) None \(0\) \(-2\) \(1\) \(1\) \(q-\zeta_{30}^{9}q^{3}-\zeta_{30}^{13}q^{4}-\zeta_{30}q^{5}+\cdots\)
3465.1.gm.c 3465.gm 3465.fm $8$ $1.729$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-35}) \) None \(0\) \(2\) \(-1\) \(-1\) \(q+\zeta_{30}^{9}q^{3}-\zeta_{30}^{13}q^{4}+\zeta_{30}q^{5}+\cdots\)
3465.1.gm.d 3465.gm 3465.fm $8$ $1.729$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-35}) \) None \(0\) \(8\) \(1\) \(1\) \(q+q^{3}-\zeta_{30}^{13}q^{4}-\zeta_{30}q^{5}+\zeta_{30}^{8}q^{7}+\cdots\)
3465.2.a.a 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(-2\) \(0\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+q^{5}-q^{7}-2q^{10}+\cdots\)
3465.2.a.b 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(-1\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+q^{7}+3q^{8}+q^{10}+\cdots\)
3465.2.a.c 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(-1\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+q^{7}+3q^{8}+q^{10}+\cdots\)
3465.2.a.d 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(-1\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}-q^{7}+3q^{8}-q^{10}+\cdots\)
3465.2.a.e 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(-1\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}-q^{7}+3q^{8}-q^{10}+\cdots\)
3465.2.a.f 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(-1\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+q^{7}+3q^{8}-q^{10}+\cdots\)
3465.2.a.g 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(-1\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+q^{7}+3q^{8}-q^{10}+\cdots\)
3465.2.a.h 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-q^{5}-q^{7}+q^{11}-4q^{13}+\cdots\)
3465.2.a.i 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}+q^{7}-q^{11}+4q^{16}+\cdots\)
3465.2.a.j 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+q^{5}+q^{7}+q^{11}-4q^{13}+\cdots\)
3465.2.a.k 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(1\) \(0\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}-q^{7}-3q^{8}-q^{10}+\cdots\)
3465.2.a.l 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(1\) \(0\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}-q^{7}-3q^{8}-q^{10}+\cdots\)
3465.2.a.m 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(1\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}-q^{7}-3q^{8}-q^{10}+\cdots\)
3465.2.a.n 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(1\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots\)
3465.2.a.o 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(1\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots\)
3465.2.a.p 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(1\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots\)
3465.2.a.q 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(1\) \(0\) \(1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}+q^{10}+\cdots\)
3465.2.a.r 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(2\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{5}+q^{7}-2q^{10}+\cdots\)
3465.2.a.s 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(2\) \(0\) \(-1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-q^{5}+q^{7}-2q^{10}+\cdots\)
3465.2.a.t 3465.a 1.a $1$ $27.668$ \(\Q\) None None \(2\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{5}-q^{7}+2q^{10}+\cdots\)
3465.2.a.u 3465.a 1.a $2$ $27.668$ \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}-q^{7}+\cdots\)
3465.2.a.v 3465.a 1.a $2$ $27.668$ \(\Q(\sqrt{3}) \) None None \(-2\) \(0\) \(2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+q^{5}+q^{7}+\cdots\)
3465.2.a.w 3465.a 1.a $2$ $27.668$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{5}-q^{7}-2\beta q^{8}+\beta q^{10}+\cdots\)
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