Newform search results

Results (1-50 of 1690 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1.34.a.a	$1$	$34$	1.a	1.a	$1$	$2$	$2$	$6.898$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-121680\)	\(37919880\)	\(-181061536500\)	\(-67\!\cdots\!00\)	$+$	$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-60840-\beta )q^{2}+(18959940+312\beta )q^{3}+\cdots\)
1.36.a.a	$1$	$36$	1.a	1.a	$1$	$3$	$3$	$7.760$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(139656\)	\(-104875308\)	\(892652054010\)	\(87\!\cdots\!56\)	$+$	$2^{12}\cdot 3^{3}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(46552+\beta _{1})q^{2}+(-34958436+\cdots)q^{3}+\cdots\)
1.38.a.a	$1$	$38$	1.a	1.a	$1$	$2$	$2$	$8.671$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-194400\)	\(13991400\)	\(55\!\cdots\!00\)	\(-34\!\cdots\!00\)	$+$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-97200-\beta )q^{2}+(6995700+72\beta )q^{3}+\cdots\)
1.40.a.a	$1$	$40$	1.a	1.a	$1$	$3$	$3$	$9.634$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(548856\)	\(1109442852\)	\(17\!\cdots\!90\)	\(-17\!\cdots\!44\)	$+$	$2^{10}\cdot 3^{5}\cdot 5\cdot 13$	$\mathrm{SU}(2)$	\(q+(182952-\beta _{1})q^{2}+(369814284+\cdots)q^{3}+\cdots\)
1.42.a.a	$1$	$42$	1.a	1.a	$1$	$3$	$3$	$10.647$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-344688\)	\(-10820953044\)	\(-21\!\cdots\!50\)	\(57\!\cdots\!92\)	$+$	$2^{11}\cdot 3^{3}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-114896+\beta _{1})q^{2}+(-3606984348+\cdots)q^{3}+\cdots\)
1.44.a.a	$1$	$44$	1.a	1.a	$1$	$3$	$3$	$11.711$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-2209944\)	\(24401437812\)	\(53\!\cdots\!70\)	\(30\!\cdots\!56\)	$+$	$2^{11}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-736648-\beta _{1})q^{2}+(8133812604+\cdots)q^{3}+\cdots\)
1.46.a.a	$1$	$46$	1.a	1.a	$1$	$3$	$3$	$12.826$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(3814272\)	\(5359866876\)	\(-91\!\cdots\!50\)	\(-76\!\cdots\!08\)	$+$	$2^{14}\cdot 3^{6}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1271424+\beta _{1})q^{2}+(1786622292+\cdots)q^{3}+\cdots\)
2.34.a.a	$2$	$34$	2.a	1.a	$1$	$1$	$1$	$13.797$	\(\Q\)	None	✓	$1$	$1$	\(-65536\)	\(-133005564\)	\(538799132550\)	\(-33\!\cdots\!68\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{16}q^{2}-133005564q^{3}+2^{32}q^{4}+\cdots\)
2.34.a.b	$2$	$34$	2.a	1.a	$1$	$2$	$2$	$13.797$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(131072\)	\(8356488\)	\(-5332476660\)	\(13\!\cdots\!56\)	$-$	$2^{7}\cdot 3\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{16}q^{2}+(4178244-\beta )q^{3}+2^{32}q^{4}+\cdots\)
1.48.a.a	$1$	$48$	1.a	1.a	$1$	$4$	$4$	$13.991$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(5785560\)	\(38461494960\)	\(-31\!\cdots\!00\)	\(-39\!\cdots\!00\)	$+$	$2^{20}\cdot 3^{7}\cdot 5^{3}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(1446390+\beta _{1})q^{2}+(9615373740+\cdots)q^{3}+\cdots\)
1.50.a.a	$1$	$50$	1.a	1.a	$1$	$3$	$3$	$15.207$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-24225168\)	\(-326954692404\)	\(63\!\cdots\!50\)	\(50\!\cdots\!92\)	$+$	$2^{11}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-8075056+\beta _{1})q^{2}+(-108984897468+\cdots)q^{3}+\cdots\)
2.36.a.a	$2$	$36$	2.a	1.a	$1$	$1$	$1$	$15.519$	\(\Q\)	None	✓	$1$	$0$	\(-131072\)	\(36494748\)	\(389070858750\)	\(-12\!\cdots\!56\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{17}q^{2}+36494748q^{3}+2^{34}q^{4}+\cdots\)
2.36.a.b	$2$	$36$	2.a	1.a	$1$	$1$	$1$	$15.519$	\(\Q\)	None	✓	$1$	$1$	\(131072\)	\(159933852\)	\(-28\!\cdots\!90\)	\(-78\!\cdots\!44\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{17}q^{2}+159933852q^{3}+2^{34}q^{4}+\cdots\)
1.52.a.a	$1$	$52$	1.a	1.a	$1$	$4$	$4$	$16.473$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(32756040\)	\(403863773040\)	\(12\!\cdots\!80\)	\(65\!\cdots\!00\)	$+$	$2^{23}\cdot 3^{10}\cdot 5^{3}\cdot 7^{2}\cdot 13\cdot 17$	$\mathrm{SU}(2)$	\(q+(8189010+\beta _{1})q^{2}+(100965943260+\cdots)q^{3}+\cdots\)
2.38.a.a	$2$	$38$	2.a	1.a	$1$	$2$	$2$	$17.343$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-524288\)	\(423071208\)	\(-13\!\cdots\!40\)	\(31\!\cdots\!56\)	$+$	$2^{8}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{18}q^{2}+(211535604-\beta )q^{3}+2^{36}q^{4}+\cdots\)
2.38.a.b	$2$	$38$	2.a	1.a	$1$	$2$	$2$	$17.343$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(524288\)	\(-501686808\)	\(41\!\cdots\!00\)	\(-35\!\cdots\!56\)	$-$	$2^{8}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{18}q^{2}+(-250843404-\beta )q^{3}+\cdots\)
1.54.a.a	$1$	$54$	1.a	1.a	$1$	$4$	$4$	$17.790$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-68476320\)	\(-10\!\cdots\!80\)	\(-45\!\cdots\!00\)	\(-22\!\cdots\!00\)	$+$	$2^{27}\cdot 3^{8}\cdot 5^{3}\cdot 7\cdot 13$	$\mathrm{SU}(2)$	\(q+(-17119080+\beta _{1})q^{2}+(-262102751820+\cdots)q^{3}+\cdots\)
1.56.a.a	$1$	$56$	1.a	1.a	$1$	$4$	$4$	$19.158$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(208622520\)	\(-68\!\cdots\!80\)	\(14\!\cdots\!60\)	\(-20\!\cdots\!00\)	$+$	$2^{20}\cdot 3^{9}\cdot 5^{2}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+(52155630+\beta _{1})q^{2}+(-1705367672820+\cdots)q^{3}+\cdots\)
2.40.a.a	$2$	$40$	2.a	1.a	$1$	$1$	$1$	$19.268$	\(\Q\)	None	✓	$1$	$1$	\(524288\)	\(-735458292\)	\(-16\!\cdots\!50\)	\(16\!\cdots\!64\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{19}q^{2}-735458292q^{3}+2^{38}q^{4}+\cdots\)
2.40.a.b	$2$	$40$	2.a	1.a	$1$	$2$	$2$	$19.268$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-1048576\)	\(287418264\)	\(53\!\cdots\!20\)	\(74\!\cdots\!12\)	$+$	$2^{7}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{19}q^{2}+(143709132-\beta )q^{3}+2^{38}q^{4}+\cdots\)
3.33.b.a	$3$	$33$	3.b	3.b	$2$	$10$	$10$	$19.460$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(0\)	\(-21387150\)	\(0\)	\(-55\!\cdots\!40\)		$2^{45}\cdot 3^{61}\cdot 5^{5}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-2138715+35\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
1.58.a.a	$1$	$58$	1.a	1.a	$1$	$4$	$4$	$20.577$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-217744560\)	\(37\!\cdots\!60\)	\(-10\!\cdots\!00\)	\(95\!\cdots\!00\)	$+$	$2^{25}\cdot 3^{10}\cdot 5^{2}\cdot 7\cdot 19$	$\mathrm{SU}(2)$	\(q+(-54436140+\beta _{1})q^{2}+(9368965543140+\cdots)q^{3}+\cdots\)
3.34.a.a	$3$	$34$	3.a	1.a	$1$	$3$	$3$	$20.695$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(41202\)	\(129140163\)	\(51261823890\)	\(76\!\cdots\!56\)	$-$	$2^{6}\cdot 3^{6}\cdot 5\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+(13734-\beta _{1})q^{2}+3^{16}q^{3}+(-369155924+\cdots)q^{4}+\cdots\)
3.34.a.b	$3$	$34$	3.a	1.a	$1$	$3$	$3$	$20.695$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(136620\)	\(-129140163\)	\(-260488036134\)	\(10\!\cdots\!32\)	$+$	$2^{11}\cdot 3^{6}\cdot 11$	$\mathrm{SU}(2)$	\(q+(45540-\beta _{1})q^{2}-3^{16}q^{3}+(4863185200+\cdots)q^{4}+\cdots\)
2.42.a.a	$2$	$42$	2.a	1.a	$1$	$1$	$1$	$21.294$	\(\Q\)	None	✓	$1$	$1$	\(-1048576\)	\(5043516516\)	\(-48\!\cdots\!50\)	\(-11\!\cdots\!68\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{20}q^{2}+5043516516q^{3}+2^{40}q^{4}+\cdots\)
2.42.a.b	$2$	$42$	2.a	1.a	$1$	$2$	$2$	$21.294$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(2097152\)	\(8863347528\)	\(97\!\cdots\!80\)	\(21\!\cdots\!56\)	$-$	$2^{7}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{20}q^{2}+(4431673764-\beta )q^{3}+\cdots\)
3.35.b.a	$3$	$35$	3.b	3.b	$2$	$10$	$10$	$21.968$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(0\)	\(119369106\)	\(0\)	\(-12\!\cdots\!72\)		$2^{54}\cdot 3^{65}\cdot 5^{4}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(11936911+41\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
1.60.a.a	$1$	$60$	1.a	1.a	$1$	$5$	$5$	$22.046$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-449691864\)	\(84\!\cdots\!32\)	\(17\!\cdots\!90\)	\(14\!\cdots\!56\)	$+$	$2^{39}\cdot 3^{13}\cdot 5^{3}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-89938373-\beta _{1})q^{2}+(16803326335969+\cdots)q^{3}+\cdots\)
3.36.a.a	$3$	$36$	3.a	1.a	$1$	$2$	$2$	$23.279$	\(\Q(\sqrt{2196841}) \)	None	✓	$1$	$1$	\(-60912\)	\(258280326\)	\(-13\!\cdots\!40\)	\(-12\!\cdots\!44\)	$-$	$2^{4}\cdot 3\cdot 7$	$\mathrm{SU}(2)$	\(q+(-30456-\beta )q^{2}+3^{17}q^{3}+(28571469952+\cdots)q^{4}+\cdots\)
3.36.a.b	$3$	$36$	3.a	1.a	$1$	$3$	$3$	$23.279$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-87330\)	\(-387420489\)	\(27\!\cdots\!10\)	\(48\!\cdots\!64\)	$+$	$2^{7}\cdot 3^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-29110+\beta _{1})q^{2}-3^{17}q^{3}+(10829584300+\cdots)q^{4}+\cdots\)
2.44.a.a	$2$	$44$	2.a	1.a	$1$	$2$	$2$	$23.422$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-4194304\)	\(-12981630984\)	\(-39\!\cdots\!00\)	\(11\!\cdots\!08\)	$+$	$2^{8}\cdot 3\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{21}q^{2}+(-6490815492-\beta )q^{3}+\cdots\)
2.44.a.b	$2$	$44$	2.a	1.a	$1$	$2$	$2$	$23.422$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(4194304\)	\(-22341634056\)	\(-47\!\cdots\!20\)	\(-22\!\cdots\!28\)	$-$	$2^{8}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{21}q^{2}+(-11170817028-\beta )q^{3}+\cdots\)
1.62.a.a	$1$	$62$	1.a	1.a	$1$	$4$	$4$	$23.566$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(1146312000\)	\(-57\!\cdots\!00\)	\(-52\!\cdots\!00\)	\(-63\!\cdots\!00\)	$+$	$2^{28}\cdot 3^{8}\cdot 5^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(286578000-\beta _{1})q^{2}+(-143430899755500+\cdots)q^{3}+\cdots\)
3.37.b.b	$3$	$37$	3.b	3.b	$2$	$10$	$10$	$24.627$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(0\)	\(-552156750\)	\(0\)	\(-12\!\cdots\!00\)		$2^{44}\cdot 3^{71}\cdot 5^{4}\cdot 7^{2}\cdot 13$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-55215675-69\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
1.64.a.a	$1$	$64$	1.a	1.a	$1$	$5$	$5$	$25.136$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(507315096\)	\(95\!\cdots\!52\)	\(-50\!\cdots\!30\)	\(37\!\cdots\!56\)	$+$	$2^{37}\cdot 3^{17}\cdot 5^{3}\cdot 7^{2}\cdot 13$	$\mathrm{SU}(2)$	\(q+(101463019-\beta _{1})q^{2}+(190649070219572+\cdots)q^{3}+\cdots\)
2.46.a.a	$2$	$46$	2.a	1.a	$1$	$2$	$2$	$25.651$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-8388608\)	\(-69766206552\)	\(-45\!\cdots\!00\)	\(-95\!\cdots\!44\)	$+$	$2^{8}\cdot 3^{4}\cdot 5^{2}\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{22}q^{2}+(-34883103276-\beta )q^{3}+\cdots\)
2.46.a.b	$2$	$46$	2.a	1.a	$1$	$2$	$2$	$25.651$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(8388608\)	\(59861217192\)	\(43\!\cdots\!00\)	\(79\!\cdots\!24\)	$-$	$2^{8}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{22}q^{2}+(29930608596-\beta )q^{3}+\cdots\)
4.33.b.b	$4$	$33$	4.b	4.b	$2$	$14$	$14$	$25.947$	\(\mathbb{Q}[x]/(x^{14} + \cdots)\)	None		$2$	$0$	\(-23780\)	\(0\)	\(138121491740\)	\(0\)		$2^{182}\cdot 3^{20}\cdot 5^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1699+\beta _{1})q^{2}+(9-21\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
3.38.a.a	$3$	$38$	3.a	1.a	$1$	$3$	$3$	$26.014$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-310908\)	\(-1162261467\)	\(-96\!\cdots\!90\)	\(-46\!\cdots\!44\)	$+$	$2^{9}\cdot 3^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-103636-\beta _{1})q^{2}-3^{18}q^{3}+(112825533616+\cdots)q^{4}+\cdots\)
3.38.a.b	$3$	$38$	3.a	1.a	$1$	$4$	$4$	$26.014$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(437562\)	\(1549681956\)	\(-40\!\cdots\!04\)	\(66\!\cdots\!84\)	$-$	$2^{15}\cdot 3^{10}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(109391-\beta _{1})q^{2}+3^{18}q^{3}+(86524834843+\cdots)q^{4}+\cdots\)
3.39.b.a	$3$	$39$	3.b	3.b	$2$	$12$	$12$	$27.439$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(-114742404\)	\(0\)	\(81\!\cdots\!48\)		$2^{75}\cdot 3^{91}\cdot 5^{7}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-9561867+97\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
4.34.a.a	$4$	$34$	4.a	1.a	$1$	$3$	$3$	$27.593$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(92491788\)	\(-53880683886\)	\(45\!\cdots\!92\)	$-$	$2^{22}\cdot 3^{3}\cdot 7\cdot 11\cdot 29$	$\mathrm{SU}(2)$	\(q+(30830596+\beta _{1})q^{3}+(-17960227962+\cdots)q^{5}+\cdots\)
2.48.a.a	$2$	$48$	2.a	1.a	$1$	$1$	$1$	$27.982$	\(\Q\)	None	✓	$1$	$1$	\(8388608\)	\(-196634580372\)	\(20\!\cdots\!50\)	\(-51\!\cdots\!96\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{23}q^{2}-196634580372q^{3}+2^{46}q^{4}+\cdots\)
2.48.a.b	$2$	$48$	2.a	1.a	$1$	$2$	$2$	$27.982$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-16777216\)	\(122289844824\)	\(18\!\cdots\!40\)	\(16\!\cdots\!32\)	$+$	$2^{7}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{23}q^{2}+(61144922412-5\beta )q^{3}+\cdots\)
3.40.a.a	$3$	$40$	3.a	1.a	$1$	$3$	$3$	$28.902$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-1107000\)	\(3486784401\)	\(93\!\cdots\!90\)	\(13\!\cdots\!04\)	$-$	$2^{10}\cdot 3^{6}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-369000-\beta _{1})q^{2}+3^{19}q^{3}+(335300075200+\cdots)q^{4}+\cdots\)
3.40.a.b	$3$	$40$	3.a	1.a	$1$	$3$	$3$	$28.902$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(533574\)	\(-3486784401\)	\(-53\!\cdots\!30\)	\(-15\!\cdots\!28\)	$+$	$2^{8}\cdot 3^{6}\cdot 5\cdot 7\cdot 13$	$\mathrm{SU}(2)$	\(q+(177858-\beta _{1})q^{2}-3^{19}q^{3}+(319147551244+\cdots)q^{4}+\cdots\)
4.35.b.a	$4$	$35$	4.b	4.b	$2$	$16$	$16$	$29.290$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$2$	$0$	\(-27372\)	\(0\)	\(-21372255840\)	\(0\)		$2^{240}\cdot 3^{26}\cdot 5^{6}\cdot 7^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1711+\beta _{1})q^{2}+(19-76\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
3.41.b.a	$3$	$41$	3.b	3.b	$2$	$12$	$12$	$30.403$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(-372082572\)	\(0\)	\(-94\!\cdots\!84\)		$2^{63}\cdot 3^{98}\cdot 5^{6}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-31006881-471\beta _{1}+\cdots)q^{3}+\cdots\)
2.50.a.a	$2$	$50$	2.a	1.a	$1$	$2$	$2$	$30.413$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-33554432\)	\(281051075592\)	\(83\!\cdots\!00\)	\(-43\!\cdots\!36\)	$+$	$2^{7}\cdot 3^{3}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-2^{24}q^{2}+(140525537796-\beta )q^{3}+\cdots\)
2.50.a.b	$2$	$50$	2.a	1.a	$1$	$3$	$3$	$30.413$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(50331648\)	\(-16203614388\)	\(-10\!\cdots\!30\)	\(-12\!\cdots\!96\)	$-$	$2^{22}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+2^{24}q^{2}+(-5401204796-\beta _{1}+\cdots)q^{3}+\cdots\)