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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
4800.2.a.a 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-5q^{7}+q^{9}-6q^{11}-3q^{13}+\cdots\)
4800.2.a.b 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-5q^{7}+q^{9}+6q^{11}+3q^{13}+\cdots\)
4800.2.a.c 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\cdots\)
4800.2.a.d 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots\)
4800.2.a.e 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{7}+q^{9}+4q^{13}-8q^{19}+\cdots\)
4800.2.a.f 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4800.2.a.g 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{7}+q^{9}-4q^{11}+7q^{13}+\cdots\)
4800.2.a.h 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{7}+q^{9}-5q^{13}+5q^{19}+\cdots\)
4800.2.a.i 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{7}+q^{9}+5q^{13}-5q^{19}+\cdots\)
4800.2.a.j 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{7}+q^{9}+4q^{11}-7q^{13}+\cdots\)
4800.2.a.k 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
4800.2.a.l 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
4800.2.a.m 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
4800.2.a.n 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4800.2.a.o 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-6q^{11}-5q^{13}+\cdots\)
4800.2.a.p 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+6q^{11}+5q^{13}+\cdots\)
4800.2.a.q 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
4800.2.a.r 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}-4q^{11}+6q^{13}+6q^{17}+\cdots\)
4800.2.a.s 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
4800.2.a.t 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
4800.2.a.u 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
4800.2.a.v 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-3q^{13}+\cdots\)
4800.2.a.w 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-q^{13}-3q^{19}-q^{21}+\cdots\)
4800.2.a.x 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+q^{13}+3q^{19}-q^{21}+\cdots\)
4800.2.a.y 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots\)
4800.2.a.z 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
4800.2.a.ba 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots\)
4800.2.a.bb 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
4800.2.a.bc 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
4800.2.a.bd 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots\)
4800.2.a.be 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
4800.2.a.bf 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots\)
4800.2.a.bg 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
4800.2.a.bh 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4800.2.a.bi 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
4800.2.a.bj 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}+4q^{11}+4q^{17}+\cdots\)
4800.2.a.bk 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{7}+q^{9}-4q^{11}+4q^{17}+\cdots\)
4800.2.a.bl 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4800.2.a.bm 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
4800.2.a.bn 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{7}+q^{9}+4q^{11}-4q^{17}+\cdots\)
4800.2.a.bo 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
4800.2.a.bp 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots\)
4800.2.a.bq 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
4800.2.a.br 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{7}+q^{9}+2q^{11}+q^{13}+\cdots\)
4800.2.a.bs 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots\)
4800.2.a.bt 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
4800.2.a.bu 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
4800.2.a.bv 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots\)
4800.2.a.bw 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-q^{13}+3q^{19}-q^{21}+\cdots\)
4800.2.a.bx 4800.a 1.a $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+q^{13}-3q^{19}-q^{21}+\cdots\)
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