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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2695.1.g.a 2695.g 55.d $1$ $1.345$ \(\Q\) \(\Q(\sqrt{-55}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q-q^{2}-q^{5}+q^{8}+q^{9}+q^{10}+q^{11}+\cdots\)
2695.1.g.b 2695.g 55.d $1$ $1.345$ \(\Q\) \(\Q(\sqrt{-55}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-q^{2}+q^{5}+q^{8}+q^{9}-q^{10}+q^{11}+\cdots\)
2695.1.g.c 2695.g 55.d $1$ $1.345$ \(\Q\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q-q^{4}+q^{5}+q^{9}-q^{11}+q^{16}-q^{20}+\cdots\)
2695.1.g.d 2695.g 55.d $1$ $1.345$ \(\Q\) \(\Q(\sqrt{-55}) \) None \(1\) \(0\) \(-1\) \(0\) \(q+q^{2}-q^{5}-q^{8}+q^{9}-q^{10}+q^{11}+\cdots\)
2695.1.g.e 2695.g 55.d $1$ $1.345$ \(\Q\) \(\Q(\sqrt{-55}) \) None \(1\) \(0\) \(1\) \(0\) \(q+q^{2}+q^{5}-q^{8}+q^{9}+q^{10}+q^{11}+\cdots\)
2695.1.g.f 2695.g 55.d $2$ $1.345$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-35}) \) \(\Q(\sqrt{385}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-q^{4}-iq^{5}-3q^{9}-q^{11}+\cdots\)
2695.1.g.g 2695.g 55.d $2$ $1.345$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-\beta q^{2}+2q^{4}-q^{5}-\beta q^{8}+q^{9}+\beta q^{10}+\cdots\)
2695.1.g.h 2695.g 55.d $2$ $1.345$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(2\) \(0\) \(q-\beta q^{2}+2q^{4}+q^{5}-\beta q^{8}+q^{9}-\beta q^{10}+\cdots\)
2695.1.g.i 2695.g 55.d $4$ $1.345$ \(\Q(\zeta_{8})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}+\zeta_{8}^{3})q^{3}-q^{4}-\zeta_{8}q^{5}-q^{9}+\cdots\)
2695.1.l.a 2695.l 385.l $8$ $1.345$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{16}+\zeta_{16}^{3})q^{3}-\zeta_{16}^{4}q^{4}+\zeta_{16}^{5}q^{5}+\cdots\)
2695.1.l.b 2695.l 385.l $8$ $1.345$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{16}^{5}-\zeta_{16}^{7})q^{3}-\zeta_{16}^{4}q^{4}+\cdots\)
2695.1.q.a 2695.q 385.q $2$ $1.345$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-55}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+\zeta_{6}q^{5}-q^{8}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{10}+\cdots\)
2695.1.q.b 2695.q 385.q $2$ $1.345$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\cdots\)
2695.1.q.c 2695.q 385.q $2$ $1.345$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q-\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\cdots\)
2695.1.q.d 2695.q 385.q $2$ $1.345$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-55}) \) None \(1\) \(0\) \(1\) \(0\) \(q+\zeta_{6}q^{2}+\zeta_{6}q^{5}+q^{8}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{10}+\cdots\)
2695.1.q.e 2695.q 385.q $4$ $1.345$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+(\zeta_{12}^{3}+\zeta_{12}^{5})q^{2}+(-1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
2695.1.q.f 2695.q 385.q $4$ $1.345$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-35}) \) \(\Q(\sqrt{385}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}q^{5}-3\zeta_{12}^{4}q^{9}+\cdots\)
2695.1.q.g 2695.q 385.q $8$ $1.345$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{24}+\zeta_{24}^{7})q^{3}+\zeta_{24}^{4}q^{4}-\zeta_{24}^{5}q^{5}+\cdots\)
2695.1.x.a 2695.x 55.h $8$ $1.345$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{20}-\zeta_{20}^{5})q^{3}+\zeta_{20}^{2}q^{4}-\zeta_{20}^{9}q^{5}+\cdots\)
2695.1.bg.a 2695.bg 385.af $16$ $1.345$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{48}-\zeta_{48}^{19})q^{3}+\zeta_{48}^{4}q^{4}+\cdots\)
2695.1.bg.b 2695.bg 385.af $16$ $1.345$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{48}+\zeta_{48}^{19})q^{3}-\zeta_{48}^{4}q^{4}+\cdots\)
2695.1.bi.a 2695.bi 2695.ai $6$ $1.345$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-55}) \) None \(-2\) \(0\) \(-1\) \(-1\) \(q+(-\zeta_{14}^{3}+\zeta_{14}^{6})q^{2}+(\zeta_{14}^{2}-\zeta_{14}^{5}+\cdots)q^{4}+\cdots\)
2695.1.bi.b 2695.bi 2695.ai $6$ $1.345$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-55}) \) None \(2\) \(0\) \(-1\) \(1\) \(q+(\zeta_{14}^{3}-\zeta_{14}^{6})q^{2}+(\zeta_{14}^{2}-\zeta_{14}^{5}+\cdots)q^{4}+\cdots\)
2695.1.bi.c 2695.bi 2695.ai $12$ $1.345$ \(\Q(\zeta_{28})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(2\) \(0\) \(q+(\zeta_{28}^{5}-\zeta_{28}^{13})q^{2}+(\zeta_{28}^{4}+\zeta_{28}^{10}+\cdots)q^{4}+\cdots\)
2695.1.ca.a 2695.ca 385.an $8$ $1.345$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-35}) \) None \(0\) \(-3\) \(1\) \(0\) \(q+(\zeta_{30}^{2}-\zeta_{30}^{5})q^{3}+\zeta_{30}^{14}q^{4}-\zeta_{30}^{13}q^{5}+\cdots\)
2695.1.ca.b 2695.ca 385.an $8$ $1.345$ \(\Q(\zeta_{15})\) \(\Q(\sqrt{-35}) \) None \(0\) \(3\) \(-1\) \(0\) \(q+(-\zeta_{30}^{2}+\zeta_{30}^{5})q^{3}+\zeta_{30}^{14}q^{4}+\cdots\)
2695.1.cc.a 2695.cc 385.ap $16$ $1.345$ \(\Q(\zeta_{60})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{60}^{5}-\zeta_{60}^{23})q^{3}+\zeta_{60}^{26}q^{4}+\cdots\)
2695.1.ck.a 2695.ck 2695.bk $12$ $1.345$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-55}) \) None \(-1\) \(0\) \(1\) \(-2\) \(q+(\zeta_{42}^{4}-\zeta_{42}^{9})q^{2}+(\zeta_{42}^{8}-\zeta_{42}^{13}+\cdots)q^{4}+\cdots\)
2695.1.ck.b 2695.ck 2695.bk $12$ $1.345$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-55}) \) None \(1\) \(0\) \(1\) \(2\) \(q+(-\zeta_{42}^{4}+\zeta_{42}^{9})q^{2}+(\zeta_{42}^{8}-\zeta_{42}^{13}+\cdots)q^{4}+\cdots\)
2695.1.ck.c 2695.ck 2695.bk $24$ $1.345$ \(\Q(\zeta_{84})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+(\zeta_{84}^{15}-\zeta_{84}^{23})q^{2}+(-\zeta_{84}^{4}+\zeta_{84}^{30}+\cdots)q^{4}+\cdots\)
2695.2.a.a 2695.a 1.a $1$ $21.520$ \(\Q\) None None \(-1\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+3q^{8}-3q^{9}+q^{10}+\cdots\)
2695.2.a.b 2695.a 1.a $1$ $21.520$ \(\Q\) None None \(-1\) \(2\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}-q^{4}-q^{5}-2q^{6}+3q^{8}+\cdots\)
2695.2.a.c 2695.a 1.a $1$ $21.520$ \(\Q\) None None \(1\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}-3q^{8}-3q^{9}-q^{10}+\cdots\)
2695.2.a.d 2695.a 1.a $2$ $21.520$ \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-3+\cdots)q^{6}+\cdots\)
2695.2.a.e 2695.a 1.a $2$ $21.520$ \(\Q(\sqrt{2}) \) None None \(2\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}-\beta q^{3}+(1+2\beta )q^{4}+q^{5}+\cdots\)
2695.2.a.f 2695.a 1.a $2$ $21.520$ \(\Q(\sqrt{2}) \) None None \(2\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+2\beta q^{3}+(1+2\beta )q^{4}+q^{5}+\cdots\)
2695.2.a.g 2695.a 1.a $3$ $21.520$ 3.3.148.1 None None \(-3\) \(2\) \(3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(1-\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
2695.2.a.h 2695.a 1.a $3$ $21.520$ 3.3.148.1 None None \(-3\) \(4\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(1+\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
2695.2.a.i 2695.a 1.a $3$ $21.520$ 3.3.148.1 None None \(1\) \(0\) \(-3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
2695.2.a.j 2695.a 1.a $4$ $21.520$ 4.4.1957.1 None None \(-3\) \(-3\) \(4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1}-\beta _{2})q^{2}+(-1-\beta _{2})q^{3}+\cdots\)
2695.2.a.k 2695.a 1.a $4$ $21.520$ 4.4.1957.1 None None \(-3\) \(3\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1}-\beta _{2})q^{2}+(1+\beta _{2})q^{3}+\cdots\)
2695.2.a.l 2695.a 1.a $4$ $21.520$ 4.4.11348.1 None None \(2\) \(-2\) \(-4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(-1-\beta _{3})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots\)
2695.2.a.m 2695.a 1.a $5$ $21.520$ 5.5.303952.1 None None \(-1\) \(0\) \(-5\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+\cdots\)
2695.2.a.n 2695.a 1.a $5$ $21.520$ 5.5.303952.1 None None \(-1\) \(0\) \(5\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+\cdots\)
2695.2.a.o 2695.a 1.a $5$ $21.520$ 5.5.394064.1 None None \(1\) \(-4\) \(-5\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2695.2.a.p 2695.a 1.a $5$ $21.520$ 5.5.394064.1 None None \(1\) \(4\) \(5\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2695.2.a.q 2695.a 1.a $6$ $21.520$ 6.6.15751800.1 None None \(-3\) \(-1\) \(6\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-\beta _{1}q^{3}+(\beta _{2}+\beta _{5})q^{4}+q^{5}+\cdots\)
2695.2.a.r 2695.a 1.a $6$ $21.520$ 6.6.15751800.1 None None \(-3\) \(1\) \(-6\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+\beta _{1}q^{3}+(\beta _{2}+\beta _{5})q^{4}-q^{5}+\cdots\)
2695.2.a.s 2695.a 1.a $8$ $21.520$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(3\) \(-1\) \(-8\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
2695.2.a.t 2695.a 1.a $8$ $21.520$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(3\) \(1\) \(8\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
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