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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2
2.8.a.a \(1\) \(0.625\) \(\Q\) None \(-8\) \(12\) \(-210\) \(1016\) \(+\) \(q-8q^{2}+12q^{3}+2^{6}q^{4}-210q^{5}+\cdots\)
2.10.a.a \(1\) \(1.030\) \(\Q\) None \(16\) \(-156\) \(870\) \(-952\) \(-\) \(q+2^{4}q^{2}-156q^{3}+2^{8}q^{4}+870q^{5}+\cdots\)
2.14.a.a \(1\) \(2.145\) \(\Q\) None \(-64\) \(-1836\) \(3990\) \(-433432\) \(+\) \(q-2^{6}q^{2}-1836q^{3}+2^{12}q^{4}+3990q^{5}+\cdots\)
2.14.a.b \(1\) \(2.145\) \(\Q\) None \(64\) \(1236\) \(-57450\) \(64232\) \(-\) \(q+2^{6}q^{2}+1236q^{3}+2^{12}q^{4}-57450q^{5}+\cdots\)
2.16.a.a \(1\) \(2.854\) \(\Q\) None \(-128\) \(6252\) \(90510\) \(56\) \(+\) \(q-2^{7}q^{2}+6252q^{3}+2^{14}q^{4}+90510q^{5}+\cdots\)
2.18.a.a \(1\) \(3.664\) \(\Q\) None \(256\) \(6084\) \(1255110\) \(-22465912\) \(-\) \(q+2^{8}q^{2}+78^{2}q^{3}+2^{16}q^{4}+1255110q^{5}+\cdots\)
2.20.a.a \(1\) \(4.576\) \(\Q\) None \(-512\) \(-13092\) \(6546750\) \(96674264\) \(+\) \(q-2^{9}q^{2}-13092q^{3}+2^{18}q^{4}+6546750q^{5}+\cdots\)
2.20.a.b \(1\) \(4.576\) \(\Q\) None \(512\) \(-53028\) \(-5556930\) \(-44496424\) \(-\) \(q+2^{9}q^{2}-53028q^{3}+2^{18}q^{4}-5556930q^{5}+\cdots\)
2.22.a.a \(1\) \(5.590\) \(\Q\) None \(-1024\) \(71604\) \(-28693770\) \(-853202392\) \(+\) \(q-2^{10}q^{2}+71604q^{3}+2^{20}q^{4}-28693770q^{5}+\cdots\)
2.22.a.b \(1\) \(5.590\) \(\Q\) None \(1024\) \(59316\) \(4975350\) \(1427425832\) \(-\) \(q+2^{10}q^{2}+59316q^{3}+2^{20}q^{4}+4975350q^{5}+\cdots\)
2.24.a.a \(1\) \(6.704\) \(\Q\) None \(-2048\) \(-505908\) \(-90135570\) \(6872255096\) \(+\) \(q-2^{11}q^{2}-505908q^{3}+2^{22}q^{4}+\cdots\)
2.26.a.a \(1\) \(7.920\) \(\Q\) None \(-4096\) \(97956\) \(341005350\) \(-40882637368\) \(+\) \(q-2^{12}q^{2}+97956q^{3}+2^{24}q^{4}+341005350q^{5}+\cdots\)
2.26.a.b \(2\) \(7.920\) \(\Q(\sqrt{106705}) \) None \(8192\) \(379848\) \(741953100\) \(-376536944\) \(-\) \(q+2^{12}q^{2}+(189924-\beta )q^{3}+2^{24}q^{4}+\cdots\)
2.28.a.a \(1\) \(9.237\) \(\Q\) None \(-8192\) \(3984828\) \(-2851889250\) \(368721063704\) \(+\) \(q-2^{13}q^{2}+3984828q^{3}+2^{26}q^{4}+\cdots\)
2.28.a.b \(1\) \(9.237\) \(\Q\) None \(8192\) \(-1016388\) \(-3341197410\) \(-51021361384\) \(-\) \(q+2^{13}q^{2}-1016388q^{3}+2^{26}q^{4}+\cdots\)
2.30.a.a \(1\) \(10.656\) \(\Q\) None \(-16384\) \(-2792556\) \(6651856470\) \(14\!\cdots\!48\) \(+\) \(q-2^{14}q^{2}-2792556q^{3}+2^{28}q^{4}+\cdots\)
2.30.a.b \(1\) \(10.656\) \(\Q\) None \(16384\) \(4782996\) \(6065841750\) \(904018883432\) \(-\) \(q+2^{14}q^{2}+4782996q^{3}+2^{28}q^{4}+\cdots\)
2.32.a.a \(1\) \(12.175\) \(\Q\) None \(32768\) \(-19984212\) \(42951708750\) \(-1\!\cdots\!76\) \(-\) \(q+2^{15}q^{2}-19984212q^{3}+2^{30}q^{4}+\cdots\)
2.32.a.b \(2\) \(12.175\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-65536\) \(16716504\) \(-26763065700\) \(-2\!\cdots\!08\) \(+\) \(q-2^{15}q^{2}+(8358252-\beta )q^{3}+2^{30}q^{4}+\cdots\)
2.34.a.a \(1\) \(13.797\) \(\Q\) None \(-65536\) \(-133005564\) \(538799132550\) \(-3\!\cdots\!68\) \(+\) \(q-2^{16}q^{2}-133005564q^{3}+2^{32}q^{4}+\cdots\)
2.34.a.b \(2\) \(13.797\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(131072\) \(8356488\) \(-5332476660\) \(13\!\cdots\!56\) \(-\) \(q+2^{16}q^{2}+(4178244-\beta )q^{3}+2^{32}q^{4}+\cdots\)
2.36.a.a \(1\) \(15.519\) \(\Q\) None \(-131072\) \(36494748\) \(389070858750\) \(-1\!\cdots\!56\) \(+\) \(q-2^{17}q^{2}+36494748q^{3}+2^{34}q^{4}+\cdots\)
2.36.a.b \(1\) \(15.519\) \(\Q\) None \(131072\) \(159933852\) \(-2\!\cdots\!90\) \(-7\!\cdots\!44\) \(-\) \(q+2^{17}q^{2}+159933852q^{3}+2^{34}q^{4}+\cdots\)
2.38.a.a \(2\) \(17.343\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-524288\) \(423071208\) \(-1\!\cdots\!40\) \(31\!\cdots\!56\) \(+\) \(q-2^{18}q^{2}+(211535604-\beta )q^{3}+2^{36}q^{4}+\cdots\)
2.38.a.b \(2\) \(17.343\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(524288\) \(-501686808\) \(41\!\cdots\!00\) \(-3\!\cdots\!56\) \(-\) \(q+2^{18}q^{2}+(-250843404-\beta )q^{3}+\cdots\)
2.40.a.a \(1\) \(19.268\) \(\Q\) None \(524288\) \(-735458292\) \(-1\!\cdots\!50\) \(16\!\cdots\!64\) \(-\) \(q+2^{19}q^{2}-735458292q^{3}+2^{38}q^{4}+\cdots\)
2.40.a.b \(2\) \(19.268\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-1048576\) \(287418264\) \(53\!\cdots\!20\) \(74\!\cdots\!12\) \(+\) \(q-2^{19}q^{2}+(143709132-\beta )q^{3}+2^{38}q^{4}+\cdots\)
2.42.a.a \(1\) \(21.294\) \(\Q\) None \(-1048576\) \(5043516516\) \(-4\!\cdots\!50\) \(-1\!\cdots\!68\) \(+\) \(q-2^{20}q^{2}+5043516516q^{3}+2^{40}q^{4}+\cdots\)
2.42.a.b \(2\) \(21.294\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(2097152\) \(8863347528\) \(97\!\cdots\!80\) \(21\!\cdots\!56\) \(-\) \(q+2^{20}q^{2}+(4431673764-\beta )q^{3}+\cdots\)
2.44.a.a \(2\) \(23.422\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-4194304\) \(-12981630984\) \(-3\!\cdots\!00\) \(11\!\cdots\!08\) \(+\) \(q-2^{21}q^{2}+(-6490815492-\beta )q^{3}+\cdots\)
2.44.a.b \(2\) \(23.422\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(4194304\) \(-22341634056\) \(-4\!\cdots\!20\) \(-2\!\cdots\!28\) \(-\) \(q+2^{21}q^{2}+(-11170817028-\beta )q^{3}+\cdots\)
2.46.a.a \(2\) \(25.651\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-8388608\) \(-69766206552\) \(-4\!\cdots\!00\) \(-9\!\cdots\!44\) \(+\) \(q-2^{22}q^{2}+(-34883103276-\beta )q^{3}+\cdots\)
2.46.a.b \(2\) \(25.651\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(8388608\) \(59861217192\) \(43\!\cdots\!00\) \(79\!\cdots\!24\) \(-\) \(q+2^{22}q^{2}+(29930608596-\beta )q^{3}+\cdots\)
2.48.a.a \(1\) \(27.982\) \(\Q\) None \(8388608\) \(-196634580372\) \(20\!\cdots\!50\) \(-5\!\cdots\!96\) \(-\) \(q+2^{23}q^{2}-196634580372q^{3}+2^{46}q^{4}+\cdots\)
2.48.a.b \(2\) \(27.982\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-16777216\) \(122289844824\) \(18\!\cdots\!40\) \(16\!\cdots\!32\) \(+\) \(q-2^{23}q^{2}+(61144922412-5\beta )q^{3}+\cdots\)
2.50.a.a \(2\) \(30.413\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-33554432\) \(281051075592\) \(83\!\cdots\!00\) \(-4\!\cdots\!36\) \(+\) \(q-2^{24}q^{2}+(140525537796-\beta )q^{3}+\cdots\)
2.50.a.b \(3\) \(30.413\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(50331648\) \(-16203614388\) \(-1\!\cdots\!30\) \(-1\!\cdots\!96\) \(-\) \(q+2^{24}q^{2}+(-5401204796-\beta _{1}+\cdots)q^{3}+\cdots\)
2.52.a.a \(2\) \(32.946\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-67108864\) \(187290382776\) \(-1\!\cdots\!00\) \(-4\!\cdots\!52\) \(+\) \(q-2^{25}q^{2}+(93645191388-17\beta )q^{3}+\cdots\)
2.52.a.b \(2\) \(32.946\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(67108864\) \(889619774904\) \(-5\!\cdots\!00\) \(-6\!\cdots\!08\) \(-\) \(q+2^{25}q^{2}+(444809887452-\beta )q^{3}+\cdots\)
2.54.a.a \(2\) \(35.581\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-134217728\) \(-1\!\cdots\!12\) \(30\!\cdots\!40\) \(-2\!\cdots\!44\) \(+\) \(q-2^{26}q^{2}+(-721907386956-3\beta )q^{3}+\cdots\)
2.54.a.b \(2\) \(35.581\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(134217728\) \(-116235744408\) \(19\!\cdots\!00\) \(71\!\cdots\!04\) \(-\) \(q+2^{26}q^{2}+(-58117872204-\beta )q^{3}+\cdots\)
2.56.a.a \(2\) \(38.316\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(268435456\) \(11\!\cdots\!56\) \(-2\!\cdots\!00\) \(-4\!\cdots\!32\) \(-\) \(q+2^{27}q^{2}+(5527700889228-\beta )q^{3}+\cdots\)
2.56.a.b \(3\) \(38.316\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(-402653184\) \(31\!\cdots\!16\) \(20\!\cdots\!10\) \(27\!\cdots\!48\) \(+\) \(q-2^{27}q^{2}+(1035669549772-\beta _{1}+\cdots)q^{3}+\cdots\)
2.58.a.a \(2\) \(41.153\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-536870912\) \(-4\!\cdots\!08\) \(-4\!\cdots\!00\) \(-7\!\cdots\!56\) \(+\) \(q-2^{28}q^{2}+(-24128544277404+\cdots)q^{3}+\cdots\)
2.58.a.b \(3\) \(41.153\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(805306368\) \(-2\!\cdots\!88\) \(11\!\cdots\!10\) \(-1\!\cdots\!16\) \(-\) \(q+2^{28}q^{2}+(-8441370341596+\beta _{1}+\cdots)q^{3}+\cdots\)
2.60.a.a \(2\) \(44.092\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-1073741824\) \(12\!\cdots\!36\) \(-2\!\cdots\!00\) \(26\!\cdots\!88\) \(+\) \(q-2^{29}q^{2}+(61050546196668-\beta )q^{3}+\cdots\)
2.60.a.b \(2\) \(44.092\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(1073741824\) \(-2\!\cdots\!36\) \(-4\!\cdots\!80\) \(57\!\cdots\!12\) \(-\) \(q+2^{29}q^{2}+(-103021728505668+\cdots)q^{3}+\cdots\)
2.62.a.a \(3\) \(47.131\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(-3221225472\) \(75\!\cdots\!12\) \(22\!\cdots\!30\) \(36\!\cdots\!24\) \(+\) \(q-2^{30}q^{2}+(25004357142804-\beta _{1}+\cdots)q^{3}+\cdots\)
2.62.a.b \(3\) \(47.131\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(3221225472\) \(61\!\cdots\!88\) \(24\!\cdots\!50\) \(70\!\cdots\!76\) \(-\) \(q+2^{30}q^{2}+(205798698834196-\beta _{1}+\cdots)q^{3}+\cdots\)
2.64.a.a \(2\) \(50.272\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(4294967296\) \(-4\!\cdots\!84\) \(-2\!\cdots\!00\) \(-1\!\cdots\!92\) \(-\) \(q+2^{31}q^{2}+(-221922059126292+\cdots)q^{3}+\cdots\)
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