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Label Dim. \(A\) Field Image CM RM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
103.1.b.a \(2\) \(0.051\) \(\Q(\sqrt{5}) \) \(D_{5}\) \(\Q(\sqrt{-103}) \) None \(-1\) \(0\) \(0\) \(-1\) \(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots\)
104.1.h.a \(1\) \(0.052\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-26}) \) None \(-1\) \(-1\) \(1\) \(1\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
104.1.h.b \(1\) \(0.052\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-26}) \) None \(1\) \(-1\) \(-1\) \(-1\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
107.1.b.a \(1\) \(0.053\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-107}) \) None \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{4}-q^{11}-q^{12}-q^{13}+q^{16}+\cdots\)
108.1.c.a \(1\) \(0.054\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q-q^{7}-q^{13}-q^{19}+q^{25}+2q^{31}+\cdots\)
111.1.d.a \(1\) \(0.055\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \) \(\Q(\sqrt{37}) \) \(0\) \(1\) \(0\) \(-2\) \(q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
111.1.d.b \(2\) \(0.055\) \(\Q(\sqrt{2}) \) \(D_{4}\) \(\Q(\sqrt{-111}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\beta q^{2}-q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{9}+\cdots\)
111.1.h.a \(2\) \(0.055\) \(\Q(\sqrt{-3}) \) \(D_{6}\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
111.1.i.a \(2\) \(0.055\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
112.1.l.a \(2\) \(0.056\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}-q^{4}+iq^{7}-iq^{8}-iq^{9}+\cdots\)
116.1.d.a \(1\) \(0.058\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-29}) \) None \(-1\) \(1\) \(-1\) \(0\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
116.1.d.b \(1\) \(0.058\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-29}) \) None \(1\) \(-1\) \(-1\) \(0\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
116.1.j.a \(6\) \(0.058\) \(\Q(\zeta_{14})\) \(D_{7}\) \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q-\zeta_{14}q^{2}+\zeta_{14}^{2}q^{4}+(\zeta_{14}^{4}-\zeta_{14}^{5}+\cdots)q^{5}+\cdots\)
117.1.j.a \(2\) \(0.058\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots\)
119.1.d.a \(2\) \(0.059\) \(\Q(\sqrt{5}) \) \(D_{5}\) \(\Q(\sqrt{-119}) \) None \(-1\) \(-1\) \(-1\) \(2\) \(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
119.1.d.b \(2\) \(0.059\) \(\Q(\sqrt{5}) \) \(D_{5}\) \(\Q(\sqrt{-119}) \) None \(-1\) \(1\) \(1\) \(-2\) \(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
120.1.i.a \(2\) \(0.060\) \(\Q(\sqrt{-1}) \) \(D_{2}\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots\)
124.1.i.a \(4\) \(0.062\) \(\Q(\zeta_{12})\) \(A_{4}\) None None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
127.1.b.a \(2\) \(0.063\) \(\Q(\sqrt{5}) \) \(D_{5}\) \(\Q(\sqrt{-127}) \) None \(-1\) \(0\) \(0\) \(0\) \(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
128.1.d.a \(1\) \(0.064\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(0\) \(q-q^{9}-2q^{17}+q^{25}+2q^{41}+q^{49}+\cdots\)
129.1.l.a \(6\) \(0.064\) \(\Q(\zeta_{14})\) \(D_{7}\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots\)
131.1.b.a \(2\) \(0.065\) \(\Q(\sqrt{5}) \) \(D_{5}\) \(\Q(\sqrt{-131}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q+(-1+\beta )q^{3}+q^{4}-\beta q^{5}-\beta q^{7}+\cdots\)
133.1.m.a \(4\) \(0.066\) \(\Q(\zeta_{12})\) \(A_{4}\) None None \(-2\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{5}q^{5}+\cdots\)
133.1.r.a \(2\) \(0.066\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(-1\) \(q-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
135.1.d.a \(1\) \(0.067\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-15}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-q^{2}+q^{5}+q^{8}-q^{10}-q^{16}-q^{17}+\cdots\)
135.1.d.b \(1\) \(0.067\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-15}) \) None \(1\) \(0\) \(-1\) \(0\) \(q+q^{2}-q^{5}-q^{8}-q^{10}-q^{16}+q^{17}+\cdots\)
136.1.e.a \(1\) \(0.068\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-34}) \) \(\Q(\sqrt{17}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots\)
136.1.j.a \(2\) \(0.068\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-iq^{2}+(-1-i)q^{3}-q^{4}+(-1+i+\cdots)q^{6}+\cdots\)
136.1.p.a \(4\) \(0.068\) \(\Q(\zeta_{8})\) \(D_{8}\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{2}+(\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
139.1.b.a \(1\) \(0.069\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-139}) \) None \(0\) \(0\) \(-1\) \(-1\) \(q+q^{4}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
140.1.h.a \(1\) \(0.070\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(1\) \(1\) \(q-q^{3}+q^{5}+q^{7}-q^{11}-q^{13}-q^{15}+\cdots\)
140.1.h.b \(1\) \(0.070\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(-1\) \(-1\) \(q+q^{3}-q^{5}-q^{7}-q^{11}+q^{13}-q^{15}+\cdots\)
140.1.p.a \(2\) \(0.070\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-5}) \) None \(-1\) \(1\) \(-1\) \(-1\) \(q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots\)
140.1.p.b \(2\) \(0.070\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-5}) \) None \(1\) \(-1\) \(-1\) \(1\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots\)
143.1.d.a \(2\) \(0.071\) \(\Q(\sqrt{5}) \) \(D_{5}\) \(\Q(\sqrt{-143}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
143.1.d.b \(2\) \(0.071\) \(\Q(\sqrt{5}) \) \(D_{5}\) \(\Q(\sqrt{-143}) \) None \(1\) \(-1\) \(0\) \(1\) \(q+(1-\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
144.1.g.a \(1\) \(0.072\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{3}) \) \(0\) \(0\) \(0\) \(0\) \(q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots\)
145.1.f.a \(2\) \(0.072\) \(\Q(\sqrt{-1}) \) \(D_{4}\) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{4}-iq^{5}+iq^{9}+(-1-i)q^{11}+\cdots\)
145.1.h.a \(2\) \(0.072\) \(\Q(\sqrt{-1}) \) \(D_{4}\) None \(\Q(\sqrt{29}) \) \(0\) \(0\) \(0\) \(-2\) \(q-iq^{4}-iq^{5}+(-1+i)q^{7}+iq^{9}+\cdots\)
147.1.l.a \(6\) \(0.073\) \(\Q(\zeta_{14})\) \(D_{7}\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q+\zeta_{14}^{2}q^{3}+\zeta_{14}^{6}q^{4}-\zeta_{14}^{3}q^{7}+\cdots\)
148.1.f.a \(2\) \(0.074\) \(\Q(\sqrt{-1}) \) \(S_{4}\) None None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}-q^{7}-iq^{11}+(-1-i)q^{17}+\cdots\)
148.1.i.a \(2\) \(0.074\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(1\) \(0\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
148.1.p.a \(6\) \(0.074\) \(\Q(\zeta_{18})\) \(D_{9}\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-3\) \(0\) \(q-\zeta_{18}q^{2}+\zeta_{18}^{2}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{6}+\cdots)q^{5}+\cdots\)
151.1.b.a \(3\) \(0.075\) \(\Q(\zeta_{14})^+\) \(D_{7}\) \(\Q(\sqrt{-151}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
152.1.g.a \(1\) \(0.076\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-38}) \) None \(-1\) \(1\) \(0\) \(-1\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
152.1.g.b \(1\) \(0.076\) \(\Q\) \(D_{3}\) \(\Q(\sqrt{-38}) \) None \(1\) \(-1\) \(0\) \(-1\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
152.1.k.a \(2\) \(0.076\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-2}) \) None \(-1\) \(1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
152.1.u.a \(6\) \(0.076\) \(\Q(\zeta_{18})\) \(D_{9}\) \(\Q(\sqrt{-2}) \) None \(0\) \(-3\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{2}+(\zeta_{18}^{6}-\zeta_{18}^{7})q^{3}-\zeta_{18}q^{4}+\cdots\)
155.1.c.a \(1\) \(0.077\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-155}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q+q^{4}-q^{5}-q^{9}+q^{16}-2q^{19}-q^{20}+\cdots\)
155.1.c.b \(2\) \(0.077\) \(\Q(\sqrt{-3}) \) \(D_{6}\) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(1\) \(0\) \(q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots\)
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