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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
8001.2.a.a \(1\) \(63.888\) \(\Q\) None \(-2\) \(0\) \(-3\) \(-1\) \(-\) \(q-2q^{2}+2q^{4}-3q^{5}-q^{7}+6q^{10}+\cdots\)
8001.2.a.b \(1\) \(63.888\) \(\Q\) None \(-2\) \(0\) \(-1\) \(-1\) \(-\) \(q-2q^{2}+2q^{4}-q^{5}-q^{7}+2q^{10}+\cdots\)
8001.2.a.c \(1\) \(63.888\) \(\Q\) None \(0\) \(0\) \(-3\) \(1\) \(-\) \(q-2q^{4}-3q^{5}+q^{7}-6q^{11}-q^{13}+\cdots\)
8001.2.a.d \(1\) \(63.888\) \(\Q\) None \(1\) \(0\) \(-4\) \(-1\) \(+\) \(q+q^{2}-q^{4}-4q^{5}-q^{7}-3q^{8}-4q^{10}+\cdots\)
8001.2.a.e \(1\) \(63.888\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(+\) \(q+q^{2}-q^{4}+q^{7}-3q^{8}+2q^{13}+q^{14}+\cdots\)
8001.2.a.f \(1\) \(63.888\) \(\Q\) None \(2\) \(0\) \(0\) \(-1\) \(+\) \(q+2q^{2}+2q^{4}-q^{7}+2q^{13}-2q^{14}+\cdots\)
8001.2.a.g \(1\) \(63.888\) \(\Q\) None \(2\) \(0\) \(1\) \(-1\) \(-\) \(q+2q^{2}+2q^{4}+q^{5}-q^{7}+2q^{10}+\cdots\)
8001.2.a.h \(2\) \(63.888\) \(\Q(\sqrt{17}) \) None \(-1\) \(0\) \(-3\) \(-2\) \(+\) \(q-\beta q^{2}+(2+\beta )q^{4}+(-1-\beta )q^{5}-q^{7}+\cdots\)
8001.2.a.i \(2\) \(63.888\) \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(3\) \(-2\) \(+\) \(q-2q^{4}+(1+\beta )q^{5}-q^{7}+(2-2\beta )q^{11}+\cdots\)
8001.2.a.j \(2\) \(63.888\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+\beta q^{2}-\beta q^{5}+q^{7}-2\beta q^{8}-2q^{10}+\cdots\)
8001.2.a.k \(2\) \(63.888\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(2\) \(-\) \(q+\beta q^{2}+4q^{4}+\beta q^{5}+q^{7}+2\beta q^{8}+\cdots\)
8001.2.a.l \(7\) \(63.888\) 7.7.118870813.1 None \(2\) \(0\) \(8\) \(7\) \(+\) \(q-\beta _{4}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3}-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
8001.2.a.m \(11\) \(63.888\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(2\) \(0\) \(-1\) \(-11\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.n \(12\) \(63.888\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(7\) \(0\) \(7\) \(12\) \(-\) \(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{6}+\beta _{7})q^{4}+\cdots\)
8001.2.a.o \(13\) \(63.888\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(0\) \(-12\) \(13\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{10}+\cdots)q^{5}+\cdots\)
8001.2.a.p \(14\) \(63.888\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(5\) \(0\) \(4\) \(-14\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}-q^{7}+\cdots\)
8001.2.a.q \(15\) \(63.888\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(0\) \(-7\) \(-15\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}-q^{7}+\cdots\)
8001.2.a.r \(16\) \(63.888\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-5\) \(0\) \(1\) \(-16\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{13}q^{5}-q^{7}+\cdots\)
8001.2.a.s \(16\) \(63.888\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-4\) \(0\) \(-5\) \(-16\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.t \(16\) \(63.888\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(2\) \(0\) \(9\) \(-16\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{11})q^{5}+\cdots\)
8001.2.a.u \(18\) \(63.888\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(6\) \(0\) \(10\) \(18\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{12})q^{5}+\cdots\)
8001.2.a.v \(19\) \(63.888\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(-4\) \(0\) \(-5\) \(19\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+q^{7}+\cdots\)
8001.2.a.w \(20\) \(63.888\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-8\) \(0\) \(-3\) \(20\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{16}q^{5}+q^{7}+\cdots\)
8001.2.a.x \(22\) \(63.888\) None \(0\) \(0\) \(0\) \(22\) \(+\)
8001.2.a.y \(28\) \(63.888\) None \(0\) \(0\) \(0\) \(-28\) \(-\)
8001.2.a.z \(32\) \(63.888\) None \(0\) \(0\) \(0\) \(-32\) \(+\)
8001.2.a.ba \(40\) \(63.888\) None \(0\) \(0\) \(0\) \(40\) \(-\)
8002.2.a.a \(1\) \(63.896\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
8002.2.a.b \(1\) \(63.896\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(+\) \(q+q^{2}+q^{4}+q^{8}-3q^{9}-2q^{11}+4q^{13}+\cdots\)
8002.2.a.c \(1\) \(63.896\) \(\Q\) None \(1\) \(2\) \(-2\) \(0\) \(+\) \(q+q^{2}+2q^{3}+q^{4}-2q^{5}+2q^{6}+q^{8}+\cdots\)
8002.2.a.d \(69\) \(63.896\) None \(69\) \(-25\) \(-33\) \(-19\) \(+\)
8002.2.a.e \(77\) \(63.896\) None \(-77\) \(10\) \(18\) \(21\) \(-\)
8002.2.a.f \(89\) \(63.896\) None \(-89\) \(-12\) \(-18\) \(-27\) \(+\)
8002.2.a.g \(95\) \(63.896\) None \(95\) \(24\) \(36\) \(21\) \(-\)
8003.2.a.a \(147\) \(63.904\) None \(-6\) \(-23\) \(-25\) \(-33\) \(+\)
8003.2.a.b \(153\) \(63.904\) None \(-9\) \(-17\) \(-31\) \(-17\) \(+\)
8003.2.a.c \(172\) \(63.904\) None \(8\) \(25\) \(27\) \(31\) \(-\)
8003.2.a.d \(179\) \(63.904\) None \(8\) \(15\) \(27\) \(23\) \(-\)
8004.2.a.a \(1\) \(63.912\) \(\Q\) None \(0\) \(-1\) \(-2\) \(-5\) \(+\) \(q-q^{3}-2q^{5}-5q^{7}+q^{9}-3q^{11}+\cdots\)
8004.2.a.b \(1\) \(63.912\) \(\Q\) None \(0\) \(-1\) \(-2\) \(2\) \(-\) \(q-q^{3}-2q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
8004.2.a.c \(1\) \(63.912\) \(\Q\) None \(0\) \(1\) \(-2\) \(3\) \(+\) \(q+q^{3}-2q^{5}+3q^{7}+q^{9}+3q^{11}+\cdots\)
8004.2.a.d \(8\) \(63.912\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(8\) \(-5\) \(-4\) \(+\) \(q+q^{3}+(-1-\beta _{7})q^{5}+(\beta _{6}+\beta _{7})q^{7}+\cdots\)
8004.2.a.e \(9\) \(63.912\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-9\) \(-3\) \(7\) \(+\) \(q-q^{3}+\beta _{1}q^{5}+(1-\beta _{3})q^{7}+q^{9}+(\beta _{3}+\cdots)q^{11}+\cdots\)
8004.2.a.f \(9\) \(63.912\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(9\) \(-1\) \(-5\) \(+\) \(q+q^{3}-\beta _{1}q^{5}+(-1-\beta _{6})q^{7}+q^{9}+\cdots\)
8004.2.a.g \(12\) \(63.912\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-12\) \(-3\) \(4\) \(+\) \(q-q^{3}-\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}-\beta _{2}q^{11}+\cdots\)
8004.2.a.h \(13\) \(63.912\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(0\) \(-13\) \(5\) \(-8\) \(-\) \(q-q^{3}+\beta _{1}q^{5}+(-1+\beta _{12})q^{7}+q^{9}+\cdots\)
8004.2.a.i \(16\) \(63.912\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(-16\) \(5\) \(-4\) \(-\) \(q-q^{3}+\beta _{1}q^{5}-\beta _{12}q^{7}+q^{9}-\beta _{4}q^{11}+\cdots\)
8004.2.a.j \(16\) \(63.912\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(16\) \(3\) \(4\) \(-\) \(q+q^{3}+\beta _{1}q^{5}-\beta _{7}q^{7}+q^{9}-\beta _{6}q^{11}+\cdots\)
8004.2.a.k \(18\) \(63.912\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(0\) \(18\) \(5\) \(6\) \(-\) \(q+q^{3}+\beta _{1}q^{5}+\beta _{7}q^{7}+q^{9}-\beta _{9}q^{11}+\cdots\)
8005.2.a.a \(1\) \(63.920\) \(\Q\) None \(-1\) \(-2\) \(1\) \(2\) \(+\) \(q-q^{2}-2q^{3}-q^{4}+q^{5}+2q^{6}+2q^{7}+\cdots\)
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