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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
6001.2.a.a 6001.a 1.a $113$ $47.918$ None \(-11\) \(-11\) \(-19\) \(11\) $+$ $\mathrm{SU}(2)$
6001.2.a.b 6001.a 1.a $114$ $47.918$ None \(-8\) \(-23\) \(-27\) \(-53\) $+$ $\mathrm{SU}(2)$
6001.2.a.c 6001.a 1.a $121$ $47.918$ None \(9\) \(13\) \(21\) \(-13\) $-$ $\mathrm{SU}(2)$
6001.2.a.d 6001.a 1.a $121$ $47.918$ None \(9\) \(21\) \(27\) \(39\) $-$ $\mathrm{SU}(2)$
6002.2.a.a 6002.a 1.a $47$ $47.926$ None \(47\) \(-13\) \(-14\) \(-17\) $+$ $\mathrm{SU}(2)$
6002.2.a.b 6002.a 1.a $56$ $47.926$ None \(-56\) \(-11\) \(0\) \(-21\) $+$ $\mathrm{SU}(2)$
6002.2.a.c 6002.a 1.a $69$ $47.926$ None \(-69\) \(11\) \(-2\) \(23\) $-$ $\mathrm{SU}(2)$
6002.2.a.d 6002.a 1.a $79$ $47.926$ None \(79\) \(17\) \(18\) \(19\) $-$ $\mathrm{SU}(2)$
6003.2.a.a 6003.a 1.a $1$ $47.934$ \(\Q\) None \(0\) \(0\) \(-4\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}-4q^{5}-4q^{7}-4q^{11}-5q^{13}+\cdots\)
6003.2.a.b 6003.a 1.a $1$ $47.934$ \(\Q\) None \(0\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+4q^{11}+3q^{13}+4q^{16}-3q^{17}+\cdots\)
6003.2.a.c 6003.a 1.a $1$ $47.934$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-3q^{5}-3q^{8}-3q^{10}+\cdots\)
6003.2.a.d 6003.a 1.a $2$ $47.934$ \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+(1+\beta )q^{5}+3q^{8}+(-1+\cdots)q^{10}+\cdots\)
6003.2.a.e 6003.a 1.a $2$ $47.934$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-2q^{4}+\beta q^{5}+(-2+\beta )q^{7}+q^{13}+\cdots\)
6003.2.a.f 6003.a 1.a $2$ $47.934$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots\)
6003.2.a.g 6003.a 1.a $4$ $47.934$ 4.4.5744.1 None \(0\) \(0\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+\beta _{1}q^{5}+(-1-\beta _{2}+\beta _{3})q^{7}+\cdots\)
6003.2.a.h 6003.a 1.a $5$ $47.934$ 5.5.312617.1 None \(2\) \(0\) \(3\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+(2-\beta _{1})q^{4}+(1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
6003.2.a.i 6003.a 1.a $7$ $47.934$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(1\) \(0\) \(5\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(1-\beta _{3}+\cdots)q^{5}+\cdots\)
6003.2.a.j 6003.a 1.a $7$ $47.934$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(3\) \(0\) \(3\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots\)
6003.2.a.k 6003.a 1.a $10$ $47.934$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-3\) \(0\) \(-6\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{2}+(2+\beta _{6})q^{4}+(-1-\beta _{4})q^{5}+\cdots\)
6003.2.a.l 6003.a 1.a $10$ $47.934$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(3\) \(0\) \(10\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{7})q^{5}+\cdots\)
6003.2.a.m 6003.a 1.a $11$ $47.934$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-2\) \(0\) \(-2\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{4}q^{5}-\beta _{6}q^{7}+\cdots\)
6003.2.a.n 6003.a 1.a $12$ $47.934$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(3\) \(0\) \(16\) \(-7\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1-\beta _{4}-\beta _{6}+\beta _{8})q^{4}+(1+\cdots)q^{5}+\cdots\)
6003.2.a.o 6003.a 1.a $13$ $47.934$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(0\) \(-16\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{8})q^{5}+\cdots\)
6003.2.a.p 6003.a 1.a $14$ $47.934$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(2\) \(0\) \(3\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{11}q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots\)
6003.2.a.q 6003.a 1.a $16$ $47.934$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-3\) \(0\) \(-16\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots\)
6003.2.a.r 6003.a 1.a $16$ $47.934$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(1\) \(0\) \(-3\) \(13\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{8}q^{5}+(1-\beta _{10}+\cdots)q^{7}+\cdots\)
6003.2.a.s 6003.a 1.a $20$ $47.934$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-2\) \(0\) \(1\) \(9\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{6}q^{5}-\beta _{14}q^{7}+\cdots\)
6003.2.a.t 6003.a 1.a $22$ $47.934$ None \(-3\) \(0\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$
6003.2.a.u 6003.a 1.a $22$ $47.934$ None \(3\) \(0\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$
6003.2.a.v 6003.a 1.a $30$ $47.934$ None \(-1\) \(0\) \(0\) \(10\) $-$ $\mathrm{SU}(2)$
6003.2.a.w 6003.a 1.a $30$ $47.934$ None \(1\) \(0\) \(0\) \(10\) $-$ $\mathrm{SU}(2)$
6004.2.a.a 6004.a 1.a $1$ $47.942$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}-5q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
6004.2.a.b 6004.a 1.a $1$ $47.942$ \(\Q\) None \(0\) \(0\) \(1\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{7}-3q^{9}+2q^{11}-4q^{13}+\cdots\)
6004.2.a.c 6004.a 1.a $1$ $47.942$ \(\Q\) None \(0\) \(1\) \(-3\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}-q^{7}-2q^{9}+5q^{13}+\cdots\)
6004.2.a.d 6004.a 1.a $8$ $47.942$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(4\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}-\beta _{4}q^{7}-3q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
6004.2.a.e 6004.a 1.a $24$ $47.942$ None \(0\) \(1\) \(9\) \(2\) $-$ $\mathrm{SU}(2)$
6004.2.a.f 6004.a 1.a $25$ $47.942$ None \(0\) \(4\) \(-8\) \(2\) $+$ $\mathrm{SU}(2)$
6004.2.a.g 6004.a 1.a $27$ $47.942$ None \(0\) \(-4\) \(-10\) \(-8\) $+$ $\mathrm{SU}(2)$
6004.2.a.h 6004.a 1.a $31$ $47.942$ None \(0\) \(-4\) \(10\) \(11\) $-$ $\mathrm{SU}(2)$
6005.2.a.a 6005.a 1.a $1$ $47.950$ \(\Q\) None \(-2\) \(-2\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{2}-2q^{3}+2q^{4}+q^{5}+4q^{6}+\cdots\)
6005.2.a.b 6005.a 1.a $1$ $47.950$ \(\Q\) None \(-1\) \(0\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots\)
6005.2.a.c 6005.a 1.a $4$ $47.950$ 4.4.2777.1 None \(2\) \(-2\) \(-4\) \(-7\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{3})q^{2}+(-1-\beta _{2}+\beta _{3})q^{3}+\cdots\)
6005.2.a.d 6005.a 1.a $83$ $47.950$ None \(1\) \(-4\) \(-83\) \(2\) $+$ $\mathrm{SU}(2)$
6005.2.a.e 6005.a 1.a $88$ $47.950$ None \(-14\) \(-34\) \(88\) \(-35\) $+$ $\mathrm{SU}(2)$
6005.2.a.f 6005.a 1.a $111$ $47.950$ None \(20\) \(40\) \(111\) \(39\) $-$ $\mathrm{SU}(2)$
6005.2.a.g 6005.a 1.a $113$ $47.950$ None \(-3\) \(6\) \(-113\) \(7\) $-$ $\mathrm{SU}(2)$
6006.2.a.a 6006.a 1.a $1$ $47.958$ \(\Q\) None \(-1\) \(-1\) \(-4\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots\)
6006.2.a.b 6006.a 1.a $1$ $47.958$ \(\Q\) None \(-1\) \(-1\) \(-4\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots\)
6006.2.a.c 6006.a 1.a $1$ $47.958$ \(\Q\) None \(-1\) \(-1\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
6006.2.a.d 6006.a 1.a $1$ $47.958$ \(\Q\) None \(-1\) \(-1\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
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