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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
5760.2.a.a 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}-6q^{11}-4q^{13}-4q^{17}+\cdots\)
5760.2.a.b 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{7}+2q^{11}+8q^{23}+q^{25}+\cdots\)
5760.2.a.c 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-6q^{11}+2q^{13}+2q^{17}+\cdots\)
5760.2.a.d 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}-2q^{13}+4q^{19}+q^{25}+\cdots\)
5760.2.a.e 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+2q^{13}-4q^{19}+q^{25}+\cdots\)
5760.2.a.f 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+2q^{11}-6q^{13}+6q^{17}+\cdots\)
5760.2.a.g 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+2q^{11}+2q^{13}+2q^{17}+\cdots\)
5760.2.a.h 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+6q^{11}+2q^{13}+6q^{17}+\cdots\)
5760.2.a.i 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}-4q^{13}-6q^{17}+6q^{19}+\cdots\)
5760.2.a.j 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}+4q^{13}+6q^{17}-6q^{19}+\cdots\)
5760.2.a.k 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-2q^{13}-6q^{17}+6q^{19}+\cdots\)
5760.2.a.l 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+4q^{13}+q^{25}-2q^{29}+\cdots\)
5760.2.a.m 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}-2q^{13}-6q^{17}-6q^{19}+\cdots\)
5760.2.a.n 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}+4q^{13}+q^{25}-2q^{29}+\cdots\)
5760.2.a.o 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}-4q^{13}-6q^{17}-6q^{19}+\cdots\)
5760.2.a.p 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+4q^{13}+6q^{17}+6q^{19}+\cdots\)
5760.2.a.q 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-6q^{11}+2q^{13}+6q^{17}+\cdots\)
5760.2.a.r 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-2q^{11}-6q^{13}+6q^{17}+\cdots\)
5760.2.a.s 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-2q^{11}+2q^{13}+2q^{17}+\cdots\)
5760.2.a.t 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-2q^{13}-4q^{19}+q^{25}+\cdots\)
5760.2.a.u 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+2q^{13}+4q^{19}+q^{25}+\cdots\)
5760.2.a.v 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}+6q^{11}+2q^{13}+2q^{17}+\cdots\)
5760.2.a.w 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}-2q^{11}-8q^{23}+q^{25}+\cdots\)
5760.2.a.x 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+6q^{11}-4q^{13}-4q^{17}+\cdots\)
5760.2.a.y 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-2q^{11}+8q^{23}+q^{25}+\cdots\)
5760.2.a.z 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}+6q^{11}+4q^{13}-4q^{17}+\cdots\)
5760.2.a.ba 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-6q^{11}-2q^{13}+6q^{17}+\cdots\)
5760.2.a.bb 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-2q^{11}-2q^{13}+2q^{17}+\cdots\)
5760.2.a.bc 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-2q^{11}+6q^{13}+6q^{17}+\cdots\)
5760.2.a.bd 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}-2q^{13}+4q^{19}+q^{25}+\cdots\)
5760.2.a.be 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+2q^{13}-4q^{19}+q^{25}+\cdots\)
5760.2.a.bf 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{7}+6q^{11}-2q^{13}+2q^{17}+\cdots\)
5760.2.a.bg 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}-4q^{13}+6q^{17}-6q^{19}+\cdots\)
5760.2.a.bh 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+4q^{13}-6q^{17}+6q^{19}+\cdots\)
5760.2.a.bi 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-4q^{13}+q^{25}+2q^{29}+\cdots\)
5760.2.a.bj 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}+2q^{13}-6q^{17}+6q^{19}+\cdots\)
5760.2.a.bk 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}-4q^{13}+q^{25}+2q^{29}+\cdots\)
5760.2.a.bl 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}+2q^{13}-6q^{17}-6q^{19}+\cdots\)
5760.2.a.bm 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}-4q^{13}+6q^{17}+6q^{19}+\cdots\)
5760.2.a.bn 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}+4q^{13}-6q^{17}-6q^{19}+\cdots\)
5760.2.a.bo 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-6q^{11}-2q^{13}+2q^{17}+\cdots\)
5760.2.a.bp 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}-2q^{13}-4q^{19}+q^{25}+\cdots\)
5760.2.a.bq 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+2q^{13}+4q^{19}+q^{25}+\cdots\)
5760.2.a.br 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+2q^{11}-2q^{13}+2q^{17}+\cdots\)
5760.2.a.bs 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+2q^{11}+6q^{13}+6q^{17}+\cdots\)
5760.2.a.bt 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{7}+6q^{11}-2q^{13}+6q^{17}+\cdots\)
5760.2.a.bu 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}-6q^{11}+4q^{13}-4q^{17}+\cdots\)
5760.2.a.bv 5760.a 1.a $1$ $45.994$ \(\Q\) None \(0\) \(0\) \(1\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{7}+2q^{11}-8q^{23}+q^{25}+\cdots\)
5760.2.a.bw 5760.a 1.a $2$ $45.994$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1-\beta )q^{7}-2q^{11}+2\beta q^{13}+\cdots\)
5760.2.a.bx 5760.a 1.a $2$ $45.994$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-2\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+(-1-\beta )q^{7}+2q^{11}+(1+\beta )q^{13}+\cdots\)
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