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Results (47 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
5544.2.a.a 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-3q^{5}-q^{7}+q^{11}-3q^{13}+6q^{17}+\cdots\)
5544.2.a.b 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}-q^{11}+6q^{13}-6q^{17}+\cdots\)
5544.2.a.c 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}-q^{11}-6q^{13}+2q^{17}+\cdots\)
5544.2.a.d 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+q^{11}-4q^{17}+4q^{19}+\cdots\)
5544.2.a.e 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+q^{11}+4q^{13}-4q^{19}+\cdots\)
5544.2.a.f 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+q^{11}+4q^{13}+6q^{17}+\cdots\)
5544.2.a.g 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}+q^{11}-5q^{13}+4q^{17}+\cdots\)
5544.2.a.h 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}+q^{11}+3q^{13}+7q^{19}+\cdots\)
5544.2.a.i 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+q^{11}-q^{13}+2q^{17}+\cdots\)
5544.2.a.j 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{7}+q^{11}+3q^{13}-2q^{17}+\cdots\)
5544.2.a.k 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{7}+q^{11}-6q^{13}-2q^{19}-4q^{23}+\cdots\)
5544.2.a.l 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{7}+q^{11}+2q^{13}+8q^{17}-6q^{19}+\cdots\)
5544.2.a.m 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-q^{11}+q^{13}+6q^{17}+\cdots\)
5544.2.a.n 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-q^{11}-q^{13}-2q^{17}+\cdots\)
5544.2.a.o 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-q^{11}+2q^{17}-2q^{19}+\cdots\)
5544.2.a.p 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-q^{11}+3q^{13}+2q^{17}+\cdots\)
5544.2.a.q 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}+q^{11}-5q^{13}+6q^{17}+\cdots\)
5544.2.a.r 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}+q^{11}-3q^{13}-4q^{17}+\cdots\)
5544.2.a.s 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}+q^{11}-2q^{13}-2q^{17}+\cdots\)
5544.2.a.t 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-q^{11}+4q^{13}-6q^{17}+\cdots\)
5544.2.a.u 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots\)
5544.2.a.v 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}-q^{11}-3q^{13}-6q^{17}+\cdots\)
5544.2.a.w 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}-q^{11}-3q^{13}-4q^{17}+\cdots\)
5544.2.a.x 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}-q^{11}-q^{13}+2q^{17}+\cdots\)
5544.2.a.y 5544.a 1.a $1$ $44.269$ \(\Q\) None \(0\) \(0\) \(4\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+4q^{5}-q^{7}+q^{11}-2q^{13}+2q^{19}+\cdots\)
5544.2.a.z 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}-q^{7}-q^{11}+(1-\beta )q^{13}+\cdots\)
5544.2.a.ba 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}-q^{7}+q^{11}+(1+\beta )q^{13}+\cdots\)
5544.2.a.bb 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}+q^{7}-q^{11}+(3-\beta )q^{13}+\cdots\)
5544.2.a.bc 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{41}) \) None \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}-q^{7}-q^{11}-\beta q^{13}+2q^{17}+\cdots\)
5544.2.a.bd 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}-q^{7}+q^{11}+(2-\beta )q^{13}+2\beta q^{17}+\cdots\)
5544.2.a.be 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}-q^{11}+(-1-\beta )q^{13}+\cdots\)
5544.2.a.bf 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}-q^{11}-2\beta q^{13}+\cdots\)
5544.2.a.bg 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(3\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}-q^{11}+(-1+3\beta )q^{13}+\cdots\)
5544.2.a.bh 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(3\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-q^{7}+q^{11}+(1-\beta )q^{13}+\cdots\)
5544.2.a.bi 5544.a 1.a $2$ $44.269$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+q^{7}+q^{11}+(-3+\beta )q^{13}+\cdots\)
5544.2.a.bj 5544.a 1.a $3$ $44.269$ 3.3.229.1 None \(0\) \(0\) \(-1\) \(3\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}+q^{7}-q^{11}+(-2+\beta _{1}-\beta _{2})q^{13}+\cdots\)
5544.2.a.bk 5544.a 1.a $3$ $44.269$ 3.3.568.1 None \(0\) \(0\) \(-1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}+q^{7}-q^{11}+\beta _{1}q^{13}+(-2+\cdots)q^{17}+\cdots\)
5544.2.a.bl 5544.a 1.a $3$ $44.269$ 3.3.961.1 None \(0\) \(0\) \(-1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}+q^{7}+q^{11}+(1+\beta _{2})q^{13}+\cdots\)
5544.2.a.bm 5544.a 1.a $4$ $44.269$ 4.4.11348.1 None \(0\) \(0\) \(-5\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{5}-q^{7}-q^{11}+(1+\beta _{3})q^{13}+\cdots\)
5544.2.a.bn 5544.a 1.a $4$ $44.269$ 4.4.22592.1 None \(0\) \(0\) \(-2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}-q^{7}-q^{11}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots\)
5544.2.a.bo 5544.a 1.a $4$ $44.269$ 4.4.123040.1 None \(0\) \(0\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{5}+q^{7}-q^{11}+(1-\beta _{3})q^{13}+\cdots\)
5544.2.a.bp 5544.a 1.a $4$ $44.269$ 4.4.22592.1 None \(0\) \(0\) \(2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}-q^{7}+q^{11}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots\)
5544.2.a.bq 5544.a 1.a $4$ $44.269$ 4.4.123040.1 None \(0\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{5}+q^{7}+q^{11}+(1-\beta _{3})q^{13}+\cdots\)
5544.2.f.a 5544.f 33.d $36$ $44.269$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
5544.2.f.b 5544.f 33.d $36$ $44.269$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
5544.2.v.a 5544.v 21.c $40$ $44.269$ None \(0\) \(0\) \(0\) \(-8\) $\mathrm{SU}(2)[C_{2}]$
5544.2.v.b 5544.v 21.c $40$ $44.269$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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