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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
6003.2.a.g 6003.a 1.a $4$ $47.934$ 4.4.5744.1 None \(0\) \(0\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-2q^{4}+\beta _{1}q^{5}+(-1-\beta _{2}+\beta _{3})q^{7}+\cdots\)
6005.2.a.c 6005.a 1.a $4$ $47.950$ 4.4.2777.1 None \(2\) \(-2\) \(-4\) \(-7\) $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{3})q^{2}+(-1-\beta _{2}+\beta _{3})q^{3}+\cdots\)
6006.2.a.bw 6006.a 1.a $4$ $47.958$ 4.4.2225.1 None \(-4\) \(-4\) \(-4\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(-1+\beta _{2})q^{5}+q^{6}+\cdots\)
6006.2.a.bx 6006.a 1.a $4$ $47.958$ 4.4.15188.1 None \(-4\) \(-4\) \(2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-\beta _{2}q^{5}+q^{6}-q^{7}+\cdots\)
6006.2.a.by 6006.a 1.a $4$ $47.958$ 4.4.13068.1 None \(-4\) \(-4\) \(4\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+(1-\beta _{2})q^{5}+q^{6}+\cdots\)
6006.2.a.bz 6006.a 1.a $4$ $47.958$ 4.4.34196.1 None \(-4\) \(4\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-\beta _{2}q^{5}-q^{6}+q^{7}+\cdots\)
6006.2.a.ca 6006.a 1.a $4$ $47.958$ 4.4.9248.1 None \(-4\) \(4\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}-q^{6}+q^{7}+\cdots\)
6006.2.a.cb 6006.a 1.a $4$ $47.958$ 4.4.19664.1 None \(-4\) \(4\) \(2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(1+\beta _{3})q^{5}-q^{6}+\cdots\)
6006.2.a.cc 6006.a 1.a $4$ $47.958$ 4.4.21200.1 None \(-4\) \(4\) \(6\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+(1+\beta _{1})q^{5}-q^{6}+\cdots\)
6006.2.a.cd 6006.a 1.a $4$ $47.958$ 4.4.46912.1 None \(4\) \(4\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-q^{7}+\cdots\)
6006.2.a.ce 6006.a 1.a $4$ $47.958$ 4.4.20308.1 None \(4\) \(4\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}+q^{6}-q^{7}+\cdots\)
6018.2.a.n 6018.a 1.a $4$ $48.054$ 4.4.2525.1 None \(4\) \(-4\) \(-3\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{5}+\cdots\)
6018.2.a.o 6018.a 1.a $4$ $48.054$ 4.4.725.1 None \(4\) \(4\) \(-1\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1}+\beta _{3})q^{5}+\cdots\)
6021.2.a.k 6021.a 1.a $4$ $48.078$ \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(0\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+(-\beta _{1}+\beta _{2})q^{5}+q^{7}-2\beta _{2}q^{8}+\cdots\)
6027.2.a.u 6027.a 1.a $4$ $48.126$ 4.4.8468.1 None \(1\) \(4\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
6030.2.a.bs 6030.a 1.a $4$ $48.150$ 4.4.11324.1 None \(4\) \(0\) \(-4\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots\)
6030.2.a.bt 6030.a 1.a $4$ $48.150$ 4.4.15188.1 None \(4\) \(0\) \(4\) \(-5\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+(-1-\beta _{1}-\beta _{3})q^{7}+\cdots\)
6030.2.a.bu 6030.a 1.a $4$ $48.150$ 4.4.70292.1 None \(4\) \(0\) \(4\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+\beta _{1}q^{7}+q^{8}+q^{10}+\cdots\)
6032.2.a.l 6032.a 1.a $4$ $48.166$ 4.4.7232.1 None \(0\) \(-2\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}+\beta _{3})q^{3}+(-\beta _{1}+2\beta _{3})q^{5}+\cdots\)
6032.2.a.m 6032.a 1.a $4$ $48.166$ 4.4.27004.1 None \(0\) \(0\) \(7\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{3})q^{3}+(2-\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
6034.2.a.j 6034.a 1.a $4$ $48.182$ 4.4.10273.1 None \(-4\) \(-2\) \(1\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+\beta _{3}q^{5}+\cdots\)
6042.2.a.t 6042.a 1.a $4$ $48.246$ 4.4.17609.1 None \(4\) \(-4\) \(6\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+(2-\beta _{3})q^{5}-q^{6}+\cdots\)
6048.2.a.bk 6048.a 1.a $4$ $48.294$ 4.4.39528.1 None \(0\) \(0\) \(-2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{5}-q^{7}-\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots\)
6048.2.a.bl 6048.a 1.a $4$ $48.294$ 4.4.25808.1 None \(0\) \(0\) \(-2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{5}-q^{7}+(1+\beta _{1})q^{11}+\cdots\)
6048.2.a.bm 6048.a 1.a $4$ $48.294$ 4.4.22896.1 None \(0\) \(0\) \(-2\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}-q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bn 6048.a 1.a $4$ $48.294$ 4.4.25808.1 None \(0\) \(0\) \(-2\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{5}+q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
6048.2.a.bo 6048.a 1.a $4$ $48.294$ 4.4.22896.1 None \(0\) \(0\) \(-2\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}+q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bp 6048.a 1.a $4$ $48.294$ 4.4.39528.1 None \(0\) \(0\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{5}+q^{7}+\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots\)
6048.2.a.bq 6048.a 1.a $4$ $48.294$ 4.4.25808.1 None \(0\) \(0\) \(2\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{5}-q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
6048.2.a.br 6048.a 1.a $4$ $48.294$ 4.4.22896.1 None \(0\) \(0\) \(2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}-q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bs 6048.a 1.a $4$ $48.294$ 4.4.39528.1 None \(0\) \(0\) \(2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{5}-q^{7}+\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots\)
6048.2.a.bt 6048.a 1.a $4$ $48.294$ 4.4.39528.1 None \(0\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{5}+q^{7}-\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots\)
6048.2.a.bu 6048.a 1.a $4$ $48.294$ 4.4.25808.1 None \(0\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{5}+q^{7}+(1+\beta _{1})q^{11}+(-1+\cdots)q^{13}+\cdots\)
6048.2.a.bv 6048.a 1.a $4$ $48.294$ 4.4.22896.1 None \(0\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}+q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6050.2.a.cy 6050.a 1.a $4$ $48.309$ 4.4.5225.1 None \(-4\) \(-3\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
6050.2.a.cz 6050.a 1.a $4$ $48.309$ 4.4.2525.1 None \(-4\) \(-3\) \(0\) \(6\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+q^{4}+\cdots\)
6050.2.a.da 6050.a 1.a $4$ $48.309$ 4.4.28400.1 None \(-4\) \(-2\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{2}q^{6}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
6050.2.a.db 6050.a 1.a $4$ $48.309$ 4.4.35136.1 None \(-4\) \(-2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+(\beta _{1}-\beta _{2}+\cdots)q^{6}+\cdots\)
6050.2.a.dc 6050.a 1.a $4$ $48.309$ \(\Q(\sqrt{3}, \sqrt{11})\) None \(-4\) \(0\) \(0\) \(6\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(2+\beta _{3})q^{7}+\cdots\)
6050.2.a.dd 6050.a 1.a $4$ $48.309$ 4.4.28400.1 None \(-4\) \(2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{6}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
6050.2.a.de 6050.a 1.a $4$ $48.309$ 4.4.35136.1 None \(-4\) \(2\) \(0\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{6}+\cdots\)
6050.2.a.df 6050.a 1.a $4$ $48.309$ 4.4.2525.1 None \(-4\) \(3\) \(0\) \(6\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(\beta _{1}-\beta _{2}+\beta _{3})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
6050.2.a.dg 6050.a 1.a $4$ $48.309$ 4.4.2525.1 None \(4\) \(-3\) \(0\) \(-6\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+q^{4}+\cdots\)
6050.2.a.dh 6050.a 1.a $4$ $48.309$ 4.4.5225.1 None \(4\) \(-3\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{6}+\cdots\)
6050.2.a.di 6050.a 1.a $4$ $48.309$ 4.4.28400.1 None \(4\) \(-2\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{2}q^{3}+q^{4}+\beta _{2}q^{6}+(-1+\cdots)q^{7}+\cdots\)
6050.2.a.dj 6050.a 1.a $4$ $48.309$ 4.4.35136.1 None \(4\) \(-2\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
6050.2.a.dk 6050.a 1.a $4$ $48.309$ \(\Q(\sqrt{3}, \sqrt{11})\) None \(4\) \(0\) \(0\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-2+\cdots)q^{7}+\cdots\)
6050.2.a.dl 6050.a 1.a $4$ $48.309$ 4.4.28400.1 None \(4\) \(2\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{2}q^{6}+(-1+\cdots)q^{7}+\cdots\)
6050.2.a.dm 6050.a 1.a $4$ $48.309$ 4.4.35136.1 None \(4\) \(2\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}+(\beta _{1}-\beta _{2}+\cdots)q^{6}+\cdots\)
6050.2.a.dn 6050.a 1.a $4$ $48.309$ 4.4.2525.1 None \(4\) \(3\) \(0\) \(-6\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(\beta _{1}-\beta _{2}+\beta _{3})q^{3}+q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
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