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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5 7
4410.2.a.a 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots\)
4410.2.a.b 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots\)
4410.2.a.c 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-3q^{11}+\cdots\)
4410.2.a.d 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-2q^{11}+\cdots\)
4410.2.a.e 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-2q^{11}+\cdots\)
4410.2.a.f 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-2q^{13}+\cdots\)
4410.2.a.g 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+q^{11}+\cdots\)
4410.2.a.h 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+2q^{11}+\cdots\)
4410.2.a.i 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+4q^{11}+\cdots\)
4410.2.a.j 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+5q^{11}+\cdots\)
4410.2.a.k 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+6q^{11}+\cdots\)
4410.2.a.l 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-4q^{11}+\cdots\)
4410.2.a.m 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-3q^{11}+\cdots\)
4410.2.a.n 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{11}+\cdots\)
4410.2.a.o 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{11}+\cdots\)
4410.2.a.p 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{13}+\cdots\)
4410.2.a.q 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+q^{11}+\cdots\)
4410.2.a.r 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+2q^{11}+\cdots\)
4410.2.a.s 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+4q^{11}+\cdots\)
4410.2.a.t 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+4q^{11}+\cdots\)
4410.2.a.u 4410.a 1.a $1$ $35.214$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+5q^{11}+\cdots\)
4410.2.a.v 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-6q^{11}+\cdots\)
4410.2.a.w 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-3q^{11}+\cdots\)
4410.2.a.x 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-3q^{11}+\cdots\)
4410.2.a.y 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-2q^{13}+\cdots\)
4410.2.a.z 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-2q^{13}+\cdots\)
4410.2.a.ba 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{11}+\cdots\)
4410.2.a.bb 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+2q^{11}+\cdots\)
4410.2.a.bc 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+4q^{11}+\cdots\)
4410.2.a.bd 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+6q^{11}+\cdots\)
4410.2.a.be 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-6q^{11}+\cdots\)
4410.2.a.bf 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-6q^{11}+\cdots\)
4410.2.a.bg 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-3q^{11}+\cdots\)
4410.2.a.bh 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-3q^{11}+\cdots\)
4410.2.a.bi 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-2q^{13}+\cdots\)
4410.2.a.bj 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+q^{11}+\cdots\)
4410.2.a.bk 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+2q^{11}+\cdots\)
4410.2.a.bl 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+4q^{11}+\cdots\)
4410.2.a.bm 4410.a 1.a $1$ $35.214$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+6q^{11}+\cdots\)
4410.2.a.bn 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+(-2+\cdots)q^{11}+\cdots\)
4410.2.a.bo 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+(-2+\cdots)q^{11}+\cdots\)
4410.2.a.bp 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+(2+\beta )q^{11}+\cdots\)
4410.2.a.bq 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+(-2+\cdots)q^{11}+\cdots\)
4410.2.a.br 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+(-2+\cdots)q^{11}+\cdots\)
4410.2.a.bs 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+(2+\beta )q^{11}+\cdots\)
4410.2.a.bt 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+(-2+\cdots)q^{11}+\cdots\)
4410.2.a.bu 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+(-2+\cdots)q^{11}+\cdots\)
4410.2.a.bv 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{7}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+(2+\beta )q^{11}+\cdots\)
4410.2.a.bw 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+(2+3\beta )q^{11}+\cdots\)
4410.2.a.bx 4410.a 1.a $2$ $35.214$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+(-2+\cdots)q^{11}+\cdots\)
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