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Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 2 | 3 | 13 | |||||||
14976.2.a.a | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-3\) | \(-1\) | $-$ | $-$ | $-$ | \(q-3q^{5}-q^{7}-4q^{11}+q^{13}+7q^{17}+\cdots\) | |
14976.2.a.b | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-3\) | \(1\) | $+$ | $-$ | $-$ | \(q-3q^{5}+q^{7}+4q^{11}+q^{13}+7q^{17}+\cdots\) | |
14976.2.a.c | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-2\) | \(-4\) | $+$ | $-$ | $+$ | \(q-2q^{5}-4q^{7}-q^{13}+2q^{17}-6q^{19}+\cdots\) | |
14976.2.a.d | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-2\) | \(-4\) | $+$ | $-$ | $+$ | \(q-2q^{5}-4q^{7}+6q^{11}-q^{13}+2q^{17}+\cdots\) | |
14976.2.a.e | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-2\) | \(-2\) | $+$ | $-$ | $-$ | \(q-2q^{5}-2q^{7}+q^{13}-2q^{17}+4q^{23}+\cdots\) | |
14976.2.a.f | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-2\) | \(2\) | $-$ | $-$ | $-$ | \(q-2q^{5}+2q^{7}+q^{13}-2q^{17}-4q^{23}+\cdots\) | |
14976.2.a.g | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-2\) | \(4\) | $+$ | $-$ | $+$ | \(q-2q^{5}+4q^{7}-6q^{11}-q^{13}+2q^{17}+\cdots\) | |
14976.2.a.h | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-2\) | \(4\) | $+$ | $-$ | $+$ | \(q-2q^{5}+4q^{7}-q^{13}+2q^{17}+6q^{19}+\cdots\) | |
14976.2.a.i | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-1\) | \(-1\) | $-$ | $-$ | $+$ | \(q-q^{5}-q^{7}-q^{13}+7q^{17}-6q^{19}+\cdots\) | |
14976.2.a.j | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-1\) | \(-1\) | $-$ | $-$ | $+$ | \(q-q^{5}-q^{7}+4q^{11}-q^{13}-q^{17}+\cdots\) | |
14976.2.a.k | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-1\) | \(1\) | $+$ | $-$ | $+$ | \(q-q^{5}+q^{7}-4q^{11}-q^{13}-q^{17}+\cdots\) | |
14976.2.a.l | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(-1\) | \(1\) | $-$ | $-$ | $+$ | \(q-q^{5}+q^{7}-q^{13}+7q^{17}+6q^{19}+\cdots\) | |
14976.2.a.m | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(-4\) | $-$ | $+$ | $+$ | \(q-4q^{7}-4q^{11}-q^{13}-4q^{17}-6q^{19}+\cdots\) | |
14976.2.a.n | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(-4\) | $-$ | $+$ | $-$ | \(q-4q^{7}-4q^{11}+q^{13}+4q^{17}+6q^{19}+\cdots\) | |
14976.2.a.o | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(-4\) | $+$ | $+$ | $+$ | \(q-4q^{7}+4q^{11}-q^{13}+4q^{17}-6q^{19}+\cdots\) | |
14976.2.a.p | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(-4\) | $+$ | $+$ | $-$ | \(q-4q^{7}+4q^{11}+q^{13}-4q^{17}+6q^{19}+\cdots\) | |
14976.2.a.q | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(-2\) | $+$ | $-$ | $+$ | \(q-2q^{7}-4q^{11}-q^{13}+2q^{17}-4q^{19}+\cdots\) | |
14976.2.a.r | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(-2\) | $-$ | $-$ | $-$ | \(q-2q^{7}+4q^{11}+q^{13}+2q^{17}+4q^{19}+\cdots\) | |
14976.2.a.s | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(2\) | $+$ | $-$ | $-$ | \(q+2q^{7}-4q^{11}+q^{13}+2q^{17}-4q^{19}+\cdots\) | |
14976.2.a.t | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(2\) | $+$ | $-$ | $+$ | \(q+2q^{7}+4q^{11}-q^{13}+2q^{17}+4q^{19}+\cdots\) | |
14976.2.a.u | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(4\) | $+$ | $+$ | $+$ | \(q+4q^{7}-4q^{11}-q^{13}+4q^{17}+6q^{19}+\cdots\) | |
14976.2.a.v | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(4\) | $-$ | $+$ | $-$ | \(q+4q^{7}-4q^{11}+q^{13}-4q^{17}-6q^{19}+\cdots\) | |
14976.2.a.w | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(4\) | $-$ | $+$ | $+$ | \(q+4q^{7}+4q^{11}-q^{13}-4q^{17}+6q^{19}+\cdots\) | |
14976.2.a.x | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(0\) | \(4\) | $+$ | $+$ | $-$ | \(q+4q^{7}+4q^{11}+q^{13}+4q^{17}-6q^{19}+\cdots\) | |
14976.2.a.y | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(1\) | \(-1\) | $+$ | $-$ | $-$ | \(q+q^{5}-q^{7}-4q^{11}+q^{13}-q^{17}+\cdots\) | |
14976.2.a.z | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(1\) | \(-1\) | $-$ | $-$ | $-$ | \(q+q^{5}-q^{7}+q^{13}+7q^{17}+6q^{19}+\cdots\) | |
14976.2.a.ba | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(1\) | \(1\) | $+$ | $-$ | $-$ | \(q+q^{5}+q^{7}+q^{13}+7q^{17}-6q^{19}+\cdots\) | |
14976.2.a.bb | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(1\) | \(1\) | $+$ | $-$ | $-$ | \(q+q^{5}+q^{7}+4q^{11}+q^{13}-q^{17}+\cdots\) | |
14976.2.a.bc | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(2\) | \(-4\) | $+$ | $-$ | $-$ | \(q+2q^{5}-4q^{7}-6q^{11}+q^{13}+2q^{17}+\cdots\) | |
14976.2.a.bd | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(2\) | \(-4\) | $+$ | $-$ | $-$ | \(q+2q^{5}-4q^{7}+q^{13}+2q^{17}+6q^{19}+\cdots\) | |
14976.2.a.be | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(2\) | \(-2\) | $-$ | $-$ | $+$ | \(q+2q^{5}-2q^{7}-q^{13}-2q^{17}+4q^{23}+\cdots\) | |
14976.2.a.bf | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(2\) | \(2\) | $-$ | $-$ | $+$ | \(q+2q^{5}+2q^{7}-q^{13}-2q^{17}-4q^{23}+\cdots\) | |
14976.2.a.bg | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(2\) | \(4\) | $-$ | $-$ | $-$ | \(q+2q^{5}+4q^{7}+q^{13}+2q^{17}-6q^{19}+\cdots\) | |
14976.2.a.bh | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(2\) | \(4\) | $-$ | $-$ | $-$ | \(q+2q^{5}+4q^{7}+6q^{11}+q^{13}+2q^{17}+\cdots\) | |
14976.2.a.bi | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(3\) | \(-1\) | $+$ | $-$ | $+$ | \(q+3q^{5}-q^{7}+4q^{11}-q^{13}+7q^{17}+\cdots\) | |
14976.2.a.bj | $1$ | $119.584$ | \(\Q\) | None | \(0\) | \(0\) | \(3\) | \(1\) | $+$ | $-$ | $+$ | \(q+3q^{5}+q^{7}-4q^{11}-q^{13}+7q^{17}+\cdots\) | |
14976.2.a.bk | $2$ | $119.584$ | \(\Q(\sqrt{2}) \) | None | \(0\) | \(0\) | \(-2\) | \(-2\) | $+$ | $-$ | $+$ | ||
14976.2.a.bl | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(-2\) | \(-2\) | $+$ | $+$ | $+$ | ||
14976.2.a.bm | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(-2\) | \(-2\) | $-$ | $+$ | $-$ | ||
14976.2.a.bn | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(-2\) | \(-2\) | $-$ | $-$ | $+$ | ||
14976.2.a.bo | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(-2\) | \(2\) | $-$ | $-$ | $+$ | ||
14976.2.a.bp | $2$ | $119.584$ | \(\Q(\sqrt{2}) \) | None | \(0\) | \(0\) | \(-2\) | \(2\) | $+$ | $-$ | $+$ | ||
14976.2.a.bq | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(-2\) | \(2\) | $+$ | $+$ | $+$ | ||
14976.2.a.br | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(-2\) | \(2\) | $+$ | $+$ | $-$ | ||
14976.2.a.bs | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(2\) | \(-2\) | $-$ | $-$ | $-$ | ||
14976.2.a.bt | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(2\) | \(-2\) | $-$ | $+$ | $+$ | ||
14976.2.a.bu | $2$ | $119.584$ | \(\Q(\sqrt{2}) \) | None | \(0\) | \(0\) | \(2\) | \(-2\) | $+$ | $-$ | $-$ | ||
14976.2.a.bv | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(2\) | \(-2\) | $+$ | $+$ | $-$ | ||
14976.2.a.bw | $2$ | $119.584$ | \(\Q(\sqrt{5}) \) | None | \(0\) | \(0\) | \(2\) | \(2\) | $-$ | $+$ | $+$ | ||
14976.2.a.bx | $2$ | $119.584$ | \(\Q(\sqrt{2}) \) | None | \(0\) | \(0\) | \(2\) | \(2\) | $-$ | $-$ | $-$ |