LMFDB - Newform Search Results

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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count*	Is self-dual?	Analytic rank

Coefficient ring index	Coefficient ring gens.	Only for weight 1:	Projective image	Projective image type
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Results (displaying matches 1-50 of 152) Next

Label	Dim.	$A$	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	Fricke sign	$q$-expansion
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	$73\!\cdots\!76$	$23\!\cdots\!52$	$81\!\cdots\!30$	$78\!\cdots\!56$	$+$	$q+(811166749386264+\beta _{1})q^{2}+\cdots$

Introduction	Features
Universe	News

Label	Dim.	\(A\)	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	Fricke sign	$q$-expansion
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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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.