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Results (displaying matches 1-50 of 152) Next

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1.12.a.a \(1\) \(0.768\) \(\Q\) None \(-24\) \(252\) \(4830\) \(-16744\) \(+\) \(q-24q^{2}+252q^{3}-1472q^{4}+4830q^{5}+\cdots\)
1.16.a.a \(1\) \(1.427\) \(\Q\) None \(216\) \(-3348\) \(52110\) \(2822456\) \(+\) \(q+6^{3}q^{2}-3348q^{3}+13888q^{4}+52110q^{5}+\cdots\)
1.18.a.a \(1\) \(1.832\) \(\Q\) None \(-528\) \(-4284\) \(-1025850\) \(3225992\) \(+\) \(q-528q^{2}-4284q^{3}+147712q^{4}+\cdots\)
1.20.a.a \(1\) \(2.288\) \(\Q\) None \(456\) \(50652\) \(-2377410\) \(-16917544\) \(+\) \(q+456q^{2}+50652q^{3}-316352q^{4}+\cdots\)
1.22.a.a \(1\) \(2.795\) \(\Q\) None \(-288\) \(-128844\) \(21640950\) \(-768078808\) \(+\) \(q-288q^{2}-128844q^{3}-2014208q^{4}+\cdots\)
1.24.a.a \(2\) \(3.352\) \(\Q(\sqrt{144169}) \) None \(1080\) \(339480\) \(73069020\) \(-1359184400\) \(+\) \(q+(540-\beta )q^{2}+(169740+48\beta )q^{3}+\cdots\)
1.26.a.a \(1\) \(3.960\) \(\Q\) None \(-48\) \(-195804\) \(-741989850\) \(39080597192\) \(+\) \(q-48q^{2}-195804q^{3}-33552128q^{4}+\cdots\)
1.28.a.a \(2\) \(4.619\) \(\Q(\sqrt{18209}) \) None \(-8280\) \(-1286280\) \(5443587900\) \(-175391963600\) \(+\) \(q+(-4140-\beta )q^{2}+(-643140-192\beta )q^{3}+\cdots\)
1.30.a.a \(2\) \(5.328\) \(\Q(\sqrt{51349}) \) None \(8640\) \(-4967640\) \(-17477788500\) \(-3\!\cdots\!00\) \(+\) \(q+(4320-\beta )q^{2}+(-2483820+552\beta )q^{3}+\cdots\)
1.32.a.a \(2\) \(6.088\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(39960\) \(17363160\) \(-19391218020\) \(30\!\cdots\!00\) \(+\) \(q+(19980-\beta )q^{2}+(8681580-432\beta )q^{3}+\cdots\)
1.34.a.a \(2\) \(6.898\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-121680\) \(37919880\) \(-181061536500\) \(-6\!\cdots\!00\) \(+\) \(q+(-60840-\beta )q^{2}+(18959940+312\beta )q^{3}+\cdots\)
1.36.a.a \(3\) \(7.760\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(139656\) \(-104875308\) \(892652054010\) \(87\!\cdots\!56\) \(+\) \(q+(46552+\beta _{1})q^{2}+(-34958436+\cdots)q^{3}+\cdots\)
1.38.a.a \(2\) \(8.671\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(-194400\) \(13991400\) \(55\!\cdots\!00\) \(-3\!\cdots\!00\) \(+\) \(q+(-97200-\beta )q^{2}+(6995700+72\beta )q^{3}+\cdots\)
1.40.a.a \(3\) \(9.634\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(548856\) \(1109442852\) \(17\!\cdots\!90\) \(-1\!\cdots\!44\) \(+\) \(q+(182952-\beta _{1})q^{2}+(369814284+\cdots)q^{3}+\cdots\)
1.42.a.a \(3\) \(10.647\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(-344688\) \(-10820953044\) \(-2\!\cdots\!50\) \(57\!\cdots\!92\) \(+\) \(q+(-114896+\beta _{1})q^{2}+(-3606984348+\cdots)q^{3}+\cdots\)
1.44.a.a \(3\) \(11.711\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(-2209944\) \(24401437812\) \(53\!\cdots\!70\) \(30\!\cdots\!56\) \(+\) \(q+(-736648-\beta _{1})q^{2}+(8133812604+\cdots)q^{3}+\cdots\)
1.46.a.a \(3\) \(12.826\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(3814272\) \(5359866876\) \(-9\!\cdots\!50\) \(-7\!\cdots\!08\) \(+\) \(q+(1271424+\beta _{1})q^{2}+(1786622292+\cdots)q^{3}+\cdots\)
1.48.a.a \(4\) \(13.991\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(5785560\) \(38461494960\) \(-3\!\cdots\!00\) \(-3\!\cdots\!00\) \(+\) \(q+(1446390+\beta _{1})q^{2}+(9615373740+\cdots)q^{3}+\cdots\)
1.50.a.a \(3\) \(15.207\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(-24225168\) \(-326954692404\) \(63\!\cdots\!50\) \(50\!\cdots\!92\) \(+\) \(q+(-8075056+\beta _{1})q^{2}+(-108984897468+\cdots)q^{3}+\cdots\)
1.52.a.a \(4\) \(16.473\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(32756040\) \(403863773040\) \(12\!\cdots\!80\) \(65\!\cdots\!00\) \(+\) \(q+(8189010+\beta _{1})q^{2}+(100965943260+\cdots)q^{3}+\cdots\)
1.54.a.a \(4\) \(17.790\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-68476320\) \(-1\!\cdots\!80\) \(-4\!\cdots\!00\) \(-2\!\cdots\!00\) \(+\) \(q+(-17119080+\beta _{1})q^{2}+(-262102751820+\cdots)q^{3}+\cdots\)
1.56.a.a \(4\) \(19.158\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(208622520\) \(-6\!\cdots\!80\) \(14\!\cdots\!60\) \(-2\!\cdots\!00\) \(+\) \(q+(52155630+\beta _{1})q^{2}+(-1705367672820+\cdots)q^{3}+\cdots\)
1.58.a.a \(4\) \(20.577\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-217744560\) \(37\!\cdots\!60\) \(-1\!\cdots\!00\) \(95\!\cdots\!00\) \(+\) \(q+(-54436140+\beta _{1})q^{2}+(9368965543140+\cdots)q^{3}+\cdots\)
1.60.a.a \(5\) \(22.046\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-449691864\) \(84\!\cdots\!32\) \(17\!\cdots\!90\) \(14\!\cdots\!56\) \(+\) \(q+(-89938373-\beta _{1})q^{2}+(16803326335969+\cdots)q^{3}+\cdots\)
1.62.a.a \(4\) \(23.566\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(1146312000\) \(-5\!\cdots\!00\) \(-5\!\cdots\!00\) \(-6\!\cdots\!00\) \(+\) \(q+(286578000-\beta _{1})q^{2}+(-143430899755500+\cdots)q^{3}+\cdots\)
1.64.a.a \(5\) \(25.136\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(507315096\) \(95\!\cdots\!52\) \(-5\!\cdots\!30\) \(37\!\cdots\!56\) \(+\) \(q+(101463019-\beta _{1})q^{2}+(190649070219572+\cdots)q^{3}+\cdots\)
1.66.a.a \(5\) \(26.757\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-3959709648\) \(-2\!\cdots\!04\) \(26\!\cdots\!50\) \(-6\!\cdots\!08\) \(+\) \(q+(-791941930-\beta _{1})q^{2}+(-446261486940055+\cdots)q^{3}+\cdots\)
1.68.a.a \(5\) \(28.429\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(5554901256\) \(34\!\cdots\!72\) \(33\!\cdots\!50\) \(33\!\cdots\!56\) \(+\) \(q+(1110980251-\beta _{1})q^{2}+(688672053797479+\cdots)q^{3}+\cdots\)
1.70.a.a \(5\) \(30.151\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-18005734368\) \(-4\!\cdots\!04\) \(-1\!\cdots\!50\) \(76\!\cdots\!92\) \(+\) \(q+(-3601146874-\beta _{1})q^{2}+(-971616465424800+\cdots)q^{3}+\cdots\)
1.72.a.a \(6\) \(31.925\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(66157336440\) \(89\!\cdots\!40\) \(-4\!\cdots\!20\) \(33\!\cdots\!00\) \(+\) \(q+(11026222740-\beta _{1})q^{2}+(14982825462961740+\cdots)q^{3}+\cdots\)
1.74.a.a \(5\) \(33.748\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-92089333488\) \(-1\!\cdots\!04\) \(23\!\cdots\!50\) \(-4\!\cdots\!08\) \(+\) \(q+(-18417866698-\beta _{1})q^{2}+\cdots\)
1.76.a.a \(6\) \(35.623\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-57080822040\) \(-7\!\cdots\!40\) \(-3\!\cdots\!40\) \(19\!\cdots\!00\) \(+\) \(q+(-9513470340+\beta _{1})q^{2}+\cdots\)
1.78.a.a \(6\) \(37.548\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(264721893120\) \(14\!\cdots\!80\) \(-2\!\cdots\!00\) \(27\!\cdots\!00\) \(+\) \(q+(44120315520-\beta _{1})q^{2}+(240268562631348180+\cdots)q^{3}+\cdots\)
1.80.a.a \(6\) \(39.524\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-16086577320\) \(19\!\cdots\!80\) \(60\!\cdots\!40\) \(-2\!\cdots\!00\) \(+\) \(q+(-2681096220+\beta _{1})q^{2}+\cdots\)
1.82.a.a \(6\) \(41.550\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-460872026640\) \(-1\!\cdots\!60\) \(-1\!\cdots\!00\) \(-3\!\cdots\!00\) \(+\) \(q+(-76812004440-\beta _{1})q^{2}+\cdots\)
1.84.a.a \(7\) \(43.627\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(347450761416\) \(92\!\cdots\!72\) \(95\!\cdots\!70\) \(41\!\cdots\!56\) \(+\) \(q+(49635823059+\beta _{1})q^{2}+\cdots\)
1.86.a.a \(6\) \(45.755\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-3\!\cdots\!00\) \(-1\!\cdots\!00\) \(-9\!\cdots\!00\) \(37\!\cdots\!00\) \(+\) \(q+(-599485114800+\beta _{1})q^{2}+\cdots\)
1.88.a.a \(7\) \(47.933\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(18\!\cdots\!36\) \(-7\!\cdots\!48\) \(33\!\cdots\!50\) \(45\!\cdots\!56\) \(+\) \(q+(2599574577562+\beta _{1})q^{2}+\cdots\)
1.90.a.a \(7\) \(50.162\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-3\!\cdots\!08\) \(-1\!\cdots\!64\) \(10\!\cdots\!50\) \(38\!\cdots\!92\) \(+\) \(q+(-4486761478773-\beta _{1})q^{2}+\cdots\)
1.92.a.a \(7\) \(52.442\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(38\!\cdots\!56\) \(62\!\cdots\!32\) \(23\!\cdots\!30\) \(-1\!\cdots\!44\) \(+\) \(q+(548816691151+\beta _{1})q^{2}+\cdots\)
1.94.a.a \(7\) \(54.773\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(43\!\cdots\!92\) \(-3\!\cdots\!84\) \(-2\!\cdots\!50\) \(-9\!\cdots\!08\) \(+\) \(q+(6247918101970+\beta _{1})q^{2}+\cdots\)
1.96.a.a \(8\) \(57.154\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-5\!\cdots\!80\) \(-9\!\cdots\!80\) \(19\!\cdots\!60\) \(31\!\cdots\!00\) \(+\) \(q+(-729457392285+\beta _{1})q^{2}+\cdots\)
1.98.a.a \(7\) \(59.585\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-1\!\cdots\!08\) \(10\!\cdots\!96\) \(-3\!\cdots\!50\) \(-1\!\cdots\!08\) \(+\) \(q+(-2385320155001+\beta _{1})q^{2}+\cdots\)
1.100.a.a \(8\) \(62.068\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-2\!\cdots\!20\) \(-2\!\cdots\!20\) \(-4\!\cdots\!60\) \(-5\!\cdots\!00\) \(+\) \(q+(-26005077112815+\beta _{1})q^{2}+\cdots\)
1.102.a.a \(8\) \(64.601\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-4\!\cdots\!40\) \(-1\!\cdots\!60\) \(38\!\cdots\!00\) \(-5\!\cdots\!00\) \(+\) \(q+(-54373636474380-\beta _{1})q^{2}+\cdots\)
1.104.a.a \(8\) \(67.184\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(43\!\cdots\!40\) \(50\!\cdots\!40\) \(55\!\cdots\!20\) \(41\!\cdots\!00\) \(+\) \(q+(548616194585055-\beta _{1})q^{2}+\cdots\)
1.106.a.a \(8\) \(69.819\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-9\!\cdots\!20\) \(-3\!\cdots\!80\) \(74\!\cdots\!00\) \(70\!\cdots\!00\) \(+\) \(q+(-1146879061146990+\beta _{1})q^{2}+\cdots\)
1.108.a.a \(9\) \(72.504\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(54\!\cdots\!96\) \(15\!\cdots\!12\) \(24\!\cdots\!50\) \(-9\!\cdots\!44\) \(+\) \(q+(607308845937277-\beta _{1})q^{2}+\cdots\)
1.110.a.a \(8\) \(75.239\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(22\!\cdots\!00\) \(-7\!\cdots\!00\) \(-2\!\cdots\!00\) \(23\!\cdots\!00\) \(+\) \(q+(286049075864400-\beta _{1})q^{2}+\cdots\)
1.112.a.a \(9\) \(78.026\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(73\!\cdots\!76\) \(23\!\cdots\!52\) \(81\!\cdots\!30\) \(78\!\cdots\!56\) \(+\) \(q+(811166749386264+\beta _{1})q^{2}+\cdots\)
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