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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
124.1.i.a 124.i 124.i $4$ $0.062$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
133.1.m.a 133.m 133.m $4$ $0.066$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(-2\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{5}q^{5}+\cdots\)
148.1.f.a 148.f 37.d $2$ $0.074$ \(\Q(\sqrt{-1}) \) $S_{4}$ None None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}-q^{7}-iq^{11}+(-1-i)q^{17}+\cdots\)
171.1.o.a 171.o 171.o $4$ $0.085$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(-2\) \(-2\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{3}q^{3}+\zeta_{12}^{4}q^{5}+\cdots\)
201.1.g.a 201.g 201.g $4$ $0.100$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{6}+\cdots\)
209.1.h.a 209.h 209.h $4$ $0.104$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(-2\) \(-2\) \(0\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{5}+\cdots\)
219.1.j.b 219.j 219.j $4$ $0.109$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{4}q^{6}+\cdots\)
224.1.r.a 224.r 28.g $4$ $0.112$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(-2\) \(0\) \(q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{3}q^{7}+\cdots\)
229.1.d.a 229.d 229.d $2$ $0.114$ \(\Q(\sqrt{-1}) \) $S_{4}$ None None \(0\) \(2\) \(0\) \(-2\) \(q+q^{3}+iq^{4}-iq^{5}+(-1-i)q^{7}+\cdots\)
229.1.d.b 229.d 229.d $2$ $0.114$ \(\Q(\sqrt{-1}) \) $S_{4}$ None None \(2\) \(-2\) \(0\) \(0\) \(q+(1-i)q^{2}-q^{3}-iq^{4}-iq^{5}+(-1+\cdots)q^{6}+\cdots\)
261.1.f.a 261.f 29.c $4$ $0.130$ \(\Q(\zeta_{8})\) $S_{4}$ None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}-q^{7}+\zeta_{8}^{3}q^{8}+\cdots\)
273.1.s.b 273.s 273.s $4$ $0.136$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}^{3}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{5}q^{5}+\cdots\)
273.1.bm.b 273.bm 273.am $4$ $0.136$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{4}q^{6}+\cdots\)
283.1.b.b 283.b 283.b $2$ $0.141$ \(\Q(\sqrt{-2}) \) $S_{4}$ None None \(0\) \(0\) \(0\) \(-2\) \(q-\beta q^{2}+\beta q^{3}-q^{4}+\beta q^{5}+2q^{6}+\cdots\)
288.1.o.a 288.o 36.f $4$ $0.144$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{5}+\zeta_{12}q^{7}-q^{9}+\cdots\)
296.1.k.a 296.k 37.d $2$ $0.148$ \(\Q(\sqrt{-1}) \) $S_{4}$ None None \(0\) \(0\) \(-2\) \(-2\) \(q-iq^{3}+(-1-i)q^{5}-q^{7}-iq^{11}+\cdots\)
301.1.r.a 301.r 301.r $4$ $0.150$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{5}-q^{6}+\cdots\)
309.1.h.a 309.h 309.h $4$ $0.154$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(-4\) \(0\) \(2\) \(q-\zeta_{12}q^{2}-q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{6}+\cdots\)
325.1.u.a 325.u 65.q $8$ $0.162$ \(\Q(\zeta_{24})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{2}-\zeta_{24}^{11}q^{3}-\zeta_{24}^{4}q^{6}+\cdots\)
331.1.b.b 331.b 331.b $2$ $0.165$ \(\Q(\sqrt{-2}) \) $S_{4}$ None None \(0\) \(0\) \(-2\) \(0\) \(q-\beta q^{2}-\beta q^{3}-q^{4}-q^{5}-2q^{6}+\beta q^{7}+\cdots\)
333.1.p.a 333.p 111.i $4$ $0.166$ \(\Q(\sqrt{-2}, \sqrt{-3})\) $S_{4}$ None None \(0\) \(0\) \(0\) \(2\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots\)
344.1.b.a 344.b 43.b $2$ $0.172$ \(\Q(\sqrt{-2}) \) $S_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{3}-\beta q^{5}+\beta q^{7}-q^{9}-q^{11}+\cdots\)
344.1.l.b 344.l 344.l $4$ $0.172$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(2\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{2}-\zeta_{12}^{4}q^{3}-q^{4}-\zeta_{12}q^{5}+\cdots\)
371.1.k.a 371.k 371.k $4$ $0.185$ \(\Q(\zeta_{12})\) $S_{4}$ None None \(-2\) \(-2\) \(2\) \(0\) \(q+(-\zeta_{12}^{2}+\zeta_{12}^{5})q^{2}+(\zeta_{12}+\zeta_{12}^{4}+\cdots)q^{3}+\cdots\)
371.1.k.b 371.k 371.k $4$ $0.185$ \(\Q(\zeta_{12})\) $S_{4}$ None None \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}q^{4}+(\zeta_{12}^{2}+\zeta_{12}^{5})q^{5}+\zeta_{12}q^{7}+\cdots\)
380.1.x.a 380.x 95.m $4$ $0.190$ \(\Q(\zeta_{12})\) $S_{4}$ None None \(0\) \(-2\) \(2\) \(0\) \(q+(-\zeta_{12}^{2}+\zeta_{12}^{5})q^{3}+\zeta_{12}^{2}q^{5}+\cdots\)
399.1.n.a 399.n 399.n $4$ $0.199$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{3}q^{5}+\cdots\)
399.1.bi.a 399.bi 399.ai $4$ $0.199$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(-4\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{5}q^{5}+\cdots\)
403.1.p.a 403.p 403.p $4$ $0.201$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(-2\) \(0\) \(0\) \(2\) \(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}q^{6}-\zeta_{12}^{4}q^{7}+\cdots\)
404.1.f.a 404.f 101.c $2$ $0.202$ \(\Q(\sqrt{-1}) \) $S_{4}$ None None \(0\) \(-2\) \(2\) \(2\) \(q+(-1+i)q^{3}+q^{5}+(1-i)q^{7}-iq^{9}+\cdots\)
408.1.u.a 408.u 51.f $4$ $0.204$ \(\Q(\zeta_{8})\) $S_{4}$ None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}q^{3}-\zeta_{8}q^{5}+(-1-\zeta_{8}^{2})q^{7}+\cdots\)
416.1.bb.a 416.bb 52.j $4$ $0.208$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{7}-\zeta_{12}q^{11}+q^{13}+\cdots\)
432.1.j.a 432.j 48.i $4$ $0.216$ \(\Q(\zeta_{8})\) $S_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots\)
448.1.r.a 448.r 28.g $4$ $0.224$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}+\cdots\)
451.1.f.a 451.f 451.f $4$ $0.225$ \(\Q(\zeta_{8})\) $S_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{3})q^{2}+q^{4}-\zeta_{8}^{2}q^{5}-\zeta_{8}q^{7}+\cdots\)
453.1.h.a 453.h 453.h $4$ $0.226$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(-4\) \(0\) \(-2\) \(q+\zeta_{12}^{5}q^{2}-q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{5}q^{6}+\cdots\)
468.1.r.a 468.r 39.i $4$ $0.234$ \(\Q(\sqrt{-2}, \sqrt{-3})\) $S_{4}$ None None \(0\) \(0\) \(0\) \(-2\) \(q-\beta _{3}q^{5}+(-1+\beta _{2})q^{7}+(\beta _{1}-\beta _{3})q^{11}+\cdots\)
468.1.v.a 468.v 468.v $4$ $0.234$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}q^{2}+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{4}q^{5}+\cdots\)
468.1.y.a 468.y 468.y $4$ $0.234$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{3}q^{3}-q^{4}-\zeta_{12}^{4}q^{5}+\cdots\)
491.1.b.b 491.b 491.b $2$ $0.245$ \(\Q(\sqrt{-2}) \) $S_{4}$ None None \(0\) \(-2\) \(0\) \(0\) \(q-\beta q^{2}-q^{3}-q^{4}+\beta q^{6}-\beta q^{7}+q^{11}+\cdots\)
497.1.g.a 497.g 497.g $4$ $0.248$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(-2\) \(2\) \(-2\) \(0\) \(q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{4}q^{3}-\zeta_{12}^{2}q^{5}+\cdots\)
504.1.ba.a 504.ba 504.aa $4$ $0.252$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(2\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{3}-\zeta_{12}^{4}q^{4}+\cdots\)
504.1.ce.a 504.ce 504.be $4$ $0.252$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{2}-q^{3}-q^{4}+\zeta_{12}q^{5}+\zeta_{12}^{3}q^{6}+\cdots\)
504.1.cu.a 504.cu 21.h $4$ $0.252$ \(\Q(\sqrt{-2}, \sqrt{-3})\) $S_{4}$ None None \(0\) \(0\) \(0\) \(2\) \(q+(\beta _{1}-\beta _{3})q^{5}+\beta _{2}q^{7}-\beta _{1}q^{11}-q^{13}+\cdots\)
513.1.o.a 513.o 171.o $4$ $0.256$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(2\) \(-2\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{5}+\zeta_{12}^{4}q^{7}+\zeta_{12}^{3}q^{8}+\cdots\)
527.1.f.a 527.f 527.f $4$ $0.263$ \(\Q(\zeta_{8})\) $S_{4}$ None None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}+(-1+\zeta_{8}^{2})q^{5}+\cdots\)
532.1.n.a 532.n 532.n $4$ $0.266$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{4}+\cdots\)
532.1.bk.a 532.bk 532.ak $4$ $0.266$ \(\Q(\zeta_{12})\) $A_{4}$ None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-q^{4}+\zeta_{12}^{2}q^{6}+\cdots\)
553.1.p.b 553.p 553.p $4$ $0.276$ \(\Q(\sqrt{-2}, \sqrt{-3})\) $S_{4}$ None None \(-2\) \(0\) \(0\) \(2\) \(q+(-1+\beta _{2})q^{2}+\beta _{1}q^{3}+(-\beta _{1}+\beta _{3})q^{6}+\cdots\)
563.1.b.b 563.b 563.b $2$ $0.281$ \(\Q(\sqrt{-2}) \) $S_{4}$ None None \(0\) \(-2\) \(0\) \(2\) \(q-\beta q^{2}-q^{3}-q^{4}-\beta q^{5}+\beta q^{6}+q^{7}+\cdots\)
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