Newform search results

Results (1-50 of 1469 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1.66.a.a	$1$	$66$	1.a	1.a	$1$	$5$	$5$	$26.757$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-3959709648\)	\(-22\!\cdots\!04\)	\(26\!\cdots\!50\)	\(-69\!\cdots\!08\)	$+$	$2^{40}\cdot 3^{12}\cdot 5^{4}\cdot 7^{2}\cdot 11\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-791941930-\beta _{1})q^{2}+(-446261486940055+\cdots)q^{3}+\cdots\)
1.68.a.a	$1$	$68$	1.a	1.a	$1$	$5$	$5$	$28.429$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(5554901256\)	\(34\!\cdots\!72\)	\(33\!\cdots\!50\)	\(33\!\cdots\!56\)	$+$	$2^{40}\cdot 3^{15}\cdot 5^{4}\cdot 7^{2}\cdot 11\cdot 13\cdot 17$	$\mathrm{SU}(2)$	\(q+(1110980251-\beta _{1})q^{2}+(688672053797479+\cdots)q^{3}+\cdots\)
1.70.a.a	$1$	$70$	1.a	1.a	$1$	$5$	$5$	$30.151$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-18005734368\)	\(-48\!\cdots\!04\)	\(-18\!\cdots\!50\)	\(76\!\cdots\!92\)	$+$	$2^{43}\cdot 3^{17}\cdot 5^{5}\cdot 7^{2}\cdot 17\cdot 23$	$\mathrm{SU}(2)$	\(q+(-3601146874-\beta _{1})q^{2}+(-971616465424800+\cdots)q^{3}+\cdots\)
1.72.a.a	$1$	$72$	1.a	1.a	$1$	$6$	$6$	$31.925$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(66157336440\)	\(89\!\cdots\!40\)	\(-42\!\cdots\!20\)	\(33\!\cdots\!00\)	$+$	$2^{55}\cdot 3^{20}\cdot 5^{6}\cdot 7^{3}$	$\mathrm{SU}(2)$	\(q+(11026222740-\beta _{1})q^{2}+(14982825462961740+\cdots)q^{3}+\cdots\)
1.74.a.a	$1$	$74$	1.a	1.a	$1$	$5$	$5$	$33.748$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-92089333488\)	\(-12\!\cdots\!04\)	\(23\!\cdots\!50\)	\(-43\!\cdots\!08\)	$+$	$2^{39}\cdot 3^{15}\cdot 5^{6}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-18417866698-\beta _{1})q^{2}+\cdots\)
1.76.a.a	$1$	$76$	1.a	1.a	$1$	$6$	$6$	$35.623$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-57080822040\)	\(-78\!\cdots\!40\)	\(-38\!\cdots\!40\)	\(19\!\cdots\!00\)	$+$	$2^{58}\cdot 3^{26}\cdot 5^{7}\cdot 7^{3}\cdot 11\cdot 13\cdot 19$	$\mathrm{SU}(2)$	\(q+(-9513470340+\beta _{1})q^{2}+\cdots\)
1.78.a.a	$1$	$78$	1.a	1.a	$1$	$6$	$6$	$37.548$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(264721893120\)	\(14\!\cdots\!80\)	\(-26\!\cdots\!00\)	\(27\!\cdots\!00\)	$+$	$2^{64}\cdot 3^{20}\cdot 5^{8}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 19$	$\mathrm{SU}(2)$	\(q+(44120315520-\beta _{1})q^{2}+(240268562631348180+\cdots)q^{3}+\cdots\)
1.80.a.a	$1$	$80$	1.a	1.a	$1$	$6$	$6$	$39.524$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-16086577320\)	\(19\!\cdots\!80\)	\(60\!\cdots\!40\)	\(-20\!\cdots\!00\)	$+$	$2^{54}\cdot 3^{24}\cdot 5^{6}\cdot 7^{3}\cdot 11\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-2681096220+\beta _{1})q^{2}+\cdots\)
1.82.a.a	$1$	$82$	1.a	1.a	$1$	$6$	$6$	$41.550$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-460872026640\)	\(-15\!\cdots\!60\)	\(-18\!\cdots\!00\)	\(-31\!\cdots\!00\)	$+$	$2^{58}\cdot 3^{26}\cdot 5^{7}\cdot 7^{3}\cdot 13$	$\mathrm{SU}(2)$	\(q+(-76812004440-\beta _{1})q^{2}+\cdots\)
1.84.a.a	$1$	$84$	1.a	1.a	$1$	$7$	$7$	$43.627$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(347450761416\)	\(92\!\cdots\!72\)	\(95\!\cdots\!70\)	\(41\!\cdots\!56\)	$+$	$2^{82}\cdot 3^{30}\cdot 5^{8}\cdot 7^{4}\cdot 17$	$\mathrm{SU}(2)$	\(q+(49635823059+\beta _{1})q^{2}+\cdots\)
1.86.a.a	$1$	$86$	1.a	1.a	$1$	$6$	$6$	$45.755$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-35\!\cdots\!00\)	\(-15\!\cdots\!00\)	\(-93\!\cdots\!00\)	\(37\!\cdots\!00\)	$+$	$2^{65}\cdot 3^{23}\cdot 5^{6}\cdot 7^{3}\cdot 11\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+(-599485114800+\beta _{1})q^{2}+\cdots\)
1.88.a.a	$1$	$88$	1.a	1.a	$1$	$7$	$7$	$47.933$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(18\!\cdots\!36\)	\(-75\!\cdots\!48\)	\(33\!\cdots\!50\)	\(45\!\cdots\!56\)	$+$	$2^{76}\cdot 3^{35}\cdot 5^{8}\cdot 7^{4}\cdot 11^{2}\cdot 13\cdot 17\cdot 29^{2}$	$\mathrm{SU}(2)$	\(q+(2599574577562+\beta _{1})q^{2}+\cdots\)
1.90.a.a	$1$	$90$	1.a	1.a	$1$	$7$	$7$	$50.162$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-31\!\cdots\!08\)	\(-13\!\cdots\!64\)	\(10\!\cdots\!50\)	\(38\!\cdots\!92\)	$+$	$2^{83}\cdot 3^{29}\cdot 5^{9}\cdot 7^{5}\cdot 11^{2}\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-4486761478773-\beta _{1})q^{2}+\cdots\)
1.92.a.a	$1$	$92$	1.a	1.a	$1$	$7$	$7$	$52.442$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(38\!\cdots\!56\)	\(62\!\cdots\!32\)	\(23\!\cdots\!30\)	\(-17\!\cdots\!44\)	$+$	$2^{83}\cdot 3^{31}\cdot 5^{8}\cdot 7^{6}\cdot 11\cdot 13^{3}\cdot 23$	$\mathrm{SU}(2)$	\(q+(548816691151+\beta _{1})q^{2}+\cdots\)
2.66.a.a	$2$	$66$	2.a	1.a	$1$	$2$	$2$	$53.514$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-8589934592\)	\(11\!\cdots\!92\)	\(-74\!\cdots\!00\)	\(27\!\cdots\!24\)	$+$	$2^{7}\cdot 3^{4}\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{32}q^{2}+(574529980102596-111\beta )q^{3}+\cdots\)
2.66.a.b	$2$	$66$	2.a	1.a	$1$	$3$	$3$	$53.514$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(12884901888\)	\(29\!\cdots\!12\)	\(39\!\cdots\!50\)	\(42\!\cdots\!64\)	$-$	$2^{22}\cdot 3^{8}\cdot 5^{3}\cdot 7\cdot 11\cdot 13$	$\mathrm{SU}(2)$	\(q+2^{32}q^{2}+(994852866070404-\beta _{1}+\cdots)q^{3}+\cdots\)
1.94.a.a	$1$	$94$	1.a	1.a	$1$	$7$	$7$	$54.773$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(43\!\cdots\!92\)	\(-36\!\cdots\!84\)	\(-24\!\cdots\!50\)	\(-92\!\cdots\!08\)	$+$	$2^{88}\cdot 3^{34}\cdot 5^{10}\cdot 7^{6}\cdot 13^{2}\cdot 19\cdot 23\cdot 31^{2}$	$\mathrm{SU}(2)$	\(q+(6247918101970+\beta _{1})q^{2}+\cdots\)
2.68.a.a	$2$	$68$	2.a	1.a	$1$	$3$	$3$	$56.858$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-25769803776\)	\(-52\!\cdots\!16\)	\(-26\!\cdots\!50\)	\(21\!\cdots\!12\)	$+$	$2^{24}\cdot 3^{5}\cdot 5^{3}\cdot 11\cdot 17$	$\mathrm{SU}(2)$	\(q-2^{33}q^{2}+(-1741882068537572+\cdots)q^{3}+\cdots\)
2.68.a.b	$2$	$68$	2.a	1.a	$1$	$3$	$3$	$56.858$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(25769803776\)	\(-23\!\cdots\!44\)	\(69\!\cdots\!90\)	\(-46\!\cdots\!92\)	$-$	$2^{24}\cdot 3^{7}\cdot 5^{2}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{33}q^{2}+(-794134480773348+\cdots)q^{3}+\cdots\)
1.96.a.a	$1$	$96$	1.a	1.a	$1$	$8$	$8$	$57.154$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-58\!\cdots\!80\)	\(-95\!\cdots\!80\)	\(19\!\cdots\!60\)	\(31\!\cdots\!00\)	$+$	$2^{104}\cdot 3^{38}\cdot 5^{12}\cdot 7^{7}\cdot 11\cdot 13\cdot 19^{3}$	$\mathrm{SU}(2)$	\(q+(-729457392285+\beta _{1})q^{2}+\cdots\)
1.98.a.a	$1$	$98$	1.a	1.a	$1$	$7$	$7$	$59.585$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-16\!\cdots\!08\)	\(10\!\cdots\!96\)	\(-36\!\cdots\!50\)	\(-18\!\cdots\!08\)	$+$	$2^{83}\cdot 3^{30}\cdot 5^{10}\cdot 7^{8}\cdot 11^{2}\cdot 19$	$\mathrm{SU}(2)$	\(q+(-2385320155001+\beta _{1})q^{2}+\cdots\)
2.70.a.a	$2$	$70$	2.a	1.a	$1$	$3$	$3$	$60.303$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-51539607552\)	\(15\!\cdots\!12\)	\(20\!\cdots\!70\)	\(-20\!\cdots\!96\)	$+$	$2^{24}\cdot 3^{10}\cdot 5^{2}\cdot 7\cdot 11\cdot 17\cdot 23$	$\mathrm{SU}(2)$	\(q-2^{34}q^{2}+(5160893455497204+\cdots)q^{3}+\cdots\)
2.70.a.b	$2$	$70$	2.a	1.a	$1$	$3$	$3$	$60.303$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(51539607552\)	\(-23\!\cdots\!52\)	\(-58\!\cdots\!50\)	\(92\!\cdots\!16\)	$-$	$2^{24}\cdot 3^{5}\cdot 5^{4}\cdot 7\cdot 23$	$\mathrm{SU}(2)$	\(q+2^{34}q^{2}+(-7866377652201484+\cdots)q^{3}+\cdots\)
1.100.a.a	$1$	$100$	1.a	1.a	$1$	$8$	$8$	$62.068$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-20\!\cdots\!20\)	\(-28\!\cdots\!20\)	\(-48\!\cdots\!60\)	\(-56\!\cdots\!00\)	$+$	$2^{109}\cdot 3^{44}\cdot 5^{13}\cdot 7^{9}\cdot 11^{3}\cdot 13\cdot 17$	$\mathrm{SU}(2)$	\(q+(-26005077112815+\beta _{1})q^{2}+\cdots\)
2.72.a.a	$2$	$72$	2.a	1.a	$1$	$2$	$2$	$63.849$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(68719476736\)	\(-73\!\cdots\!24\)	\(40\!\cdots\!00\)	\(-29\!\cdots\!52\)	$-$	$2^{7}\cdot 3^{6}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+2^{35}q^{2}+(-36645276287423412+\cdots)q^{3}+\cdots\)
2.72.a.b	$2$	$72$	2.a	1.a	$1$	$3$	$3$	$63.849$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-103079215104\)	\(23\!\cdots\!36\)	\(47\!\cdots\!50\)	\(-68\!\cdots\!72\)	$+$	$2^{22}\cdot 3^{6}\cdot 5^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q-2^{35}q^{2}+(787523430902412+\beta _{1}+\cdots)q^{3}+\cdots\)
1.102.a.a	$1$	$102$	1.a	1.a	$1$	$8$	$8$	$64.601$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-43\!\cdots\!40\)	\(-12\!\cdots\!60\)	\(38\!\cdots\!00\)	\(-57\!\cdots\!00\)	$+$	$2^{119}\cdot 3^{37}\cdot 5^{14}\cdot 7^{7}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+(-54373636474380-\beta _{1})q^{2}+\cdots\)
1.104.a.a	$1$	$104$	1.a	1.a	$1$	$8$	$8$	$67.184$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(43\!\cdots\!40\)	\(50\!\cdots\!40\)	\(55\!\cdots\!20\)	\(41\!\cdots\!00\)	$+$	$2^{104}\cdot 3^{40}\cdot 5^{12}\cdot 7^{8}\cdot 11\cdot 13^{3}\cdot 17^{2}$	$\mathrm{SU}(2)$	\(q+(548616194585055-\beta _{1})q^{2}+\cdots\)
2.74.a.a	$2$	$74$	2.a	1.a	$1$	$3$	$3$	$67.497$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-206158430208\)	\(-30\!\cdots\!72\)	\(-32\!\cdots\!50\)	\(-23\!\cdots\!64\)	$+$	$2^{23}\cdot 3^{7}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q-2^{36}q^{2}+(-101346400339911324+\cdots)q^{3}+\cdots\)
2.74.a.b	$2$	$74$	2.a	1.a	$1$	$4$	$4$	$67.497$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(274877906944\)	\(30\!\cdots\!76\)	\(-78\!\cdots\!60\)	\(36\!\cdots\!12\)	$-$	$2^{45}\cdot 3^{14}\cdot 5^{5}\cdot 7^{2}\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{36}q^{2}+(76266581430811044+\cdots)q^{3}+\cdots\)
1.106.a.a	$1$	$106$	1.a	1.a	$1$	$8$	$8$	$69.819$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-91\!\cdots\!20\)	\(-35\!\cdots\!80\)	\(74\!\cdots\!00\)	\(70\!\cdots\!00\)	$+$	$2^{111}\cdot 3^{44}\cdot 5^{13}\cdot 7^{7}\cdot 11\cdot 13^{3}\cdot 17$	$\mathrm{SU}(2)$	\(q+(-1146879061146990+\beta _{1})q^{2}+\cdots\)
2.76.a.a	$2$	$76$	2.a	1.a	$1$	$3$	$3$	$71.246$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-412316860416\)	\(12\!\cdots\!04\)	\(16\!\cdots\!50\)	\(49\!\cdots\!12\)	$+$	$2^{24}\cdot 3^{7}\cdot 5^{4}\cdot 7\cdot 11\cdot 19$	$\mathrm{SU}(2)$	\(q-2^{37}q^{2}+(415752245544732668+\cdots)q^{3}+\cdots\)
2.76.a.b	$2$	$76$	2.a	1.a	$1$	$3$	$3$	$71.246$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(412316860416\)	\(45\!\cdots\!16\)	\(-19\!\cdots\!90\)	\(-37\!\cdots\!52\)	$-$	$2^{24}\cdot 3^{8}\cdot 5^{3}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{37}q^{2}+(152747388742936572+\cdots)q^{3}+\cdots\)
1.108.a.a	$1$	$108$	1.a	1.a	$1$	$9$	$9$	$72.504$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(54\!\cdots\!96\)	\(15\!\cdots\!12\)	\(24\!\cdots\!50\)	\(-93\!\cdots\!44\)	$+$	$2^{143}\cdot 3^{48}\cdot 5^{18}\cdot 7^{8}\cdot 11^{2}\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(607308845937277-\beta _{1})q^{2}+\cdots\)
2.78.a.a	$2$	$78$	2.a	1.a	$1$	$3$	$3$	$75.096$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-824633720832\)	\(-25\!\cdots\!88\)	\(30\!\cdots\!10\)	\(-23\!\cdots\!16\)	$+$	$2^{24}\cdot 3^{11}\cdot 5^{2}\cdot 7\cdot 11\cdot 13\cdot 19$	$\mathrm{SU}(2)$	\(q-2^{38}q^{2}+(-842429601461527596+\cdots)q^{3}+\cdots\)
2.78.a.b	$2$	$78$	2.a	1.a	$1$	$3$	$3$	$75.096$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(824633720832\)	\(-11\!\cdots\!92\)	\(64\!\cdots\!50\)	\(-17\!\cdots\!44\)	$-$	$2^{24}\cdot 3^{8}\cdot 5^{4}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{38}q^{2}+(-37139225154949164+\cdots)q^{3}+\cdots\)
1.110.a.a	$1$	$110$	1.a	1.a	$1$	$8$	$8$	$75.239$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(22\!\cdots\!00\)	\(-79\!\cdots\!00\)	\(-21\!\cdots\!00\)	\(23\!\cdots\!00\)	$+$	$2^{118}\cdot 3^{40}\cdot 5^{14}\cdot 7^{6}\cdot 11^{3}\cdot 13$	$\mathrm{SU}(2)$	\(q+(286049075864400-\beta _{1})q^{2}+\cdots\)
3.65.b.a	$3$	$65$	3.b	3.b	$2$	$20$	$20$	$77.821$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	None		$2$	$0$	\(0\)	\(-14\!\cdots\!92\)	\(0\)	\(68\!\cdots\!76\)		$2^{190}\cdot 3^{282}\cdot 5^{19}\cdot 7^{8}\cdot 11^{4}\cdot 13^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-71037898477915+13312\beta _{1}+\cdots)q^{3}+\cdots\)
1.112.a.a	$1$	$112$	1.a	1.a	$1$	$9$	$9$	$78.026$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(73\!\cdots\!76\)	\(23\!\cdots\!52\)	\(81\!\cdots\!30\)	\(78\!\cdots\!56\)	$+$	$2^{135}\cdot 3^{56}\cdot 5^{16}\cdot 7^{7}\cdot 11^{3}\cdot 13\cdot 19\cdot 37^{3}$	$\mathrm{SU}(2)$	\(q+(811166749386264+\beta _{1})q^{2}+\cdots\)
2.80.a.a	$2$	$80$	2.a	1.a	$1$	$3$	$3$	$79.047$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(16\!\cdots\!64\)	\(-45\!\cdots\!36\)	\(-40\!\cdots\!50\)	\(14\!\cdots\!12\)	$-$	$2^{23}\cdot 3^{9}\cdot 5^{4}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{39}q^{2}+(-1528323113916241812+\cdots)q^{3}+\cdots\)
2.80.a.b	$2$	$80$	2.a	1.a	$1$	$4$	$4$	$79.047$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-21\!\cdots\!52\)	\(43\!\cdots\!88\)	\(-20\!\cdots\!80\)	\(25\!\cdots\!04\)	$+$	$2^{45}\cdot 3^{12}\cdot 5^{5}\cdot 7\cdot 11\cdot 13$	$\mathrm{SU}(2)$	\(q-2^{39}q^{2}+(1099291558848636972+\cdots)q^{3}+\cdots\)
3.66.a.a	$3$	$66$	3.a	1.a	$1$	$5$	$5$	$80.272$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-2586530964\)	\(-92\!\cdots\!05\)	\(-86\!\cdots\!94\)	\(57\!\cdots\!24\)	$+$	$2^{37}\cdot 3^{20}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}$	$\mathrm{SU}(2)$	\(q+(-517306193-\beta _{1})q^{2}-3^{32}q^{3}+\cdots\)
3.66.a.b	$3$	$66$	3.a	1.a	$1$	$6$	$6$	$80.272$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(6210982962\)	\(11\!\cdots\!46\)	\(35\!\cdots\!00\)	\(13\!\cdots\!04\)	$-$	$2^{43}\cdot 3^{29}\cdot 5^{6}\cdot 7^{2}\cdot 11\cdot 13$	$\mathrm{SU}(2)$	\(q+(1035163827+\beta _{1})q^{2}+3^{32}q^{3}+\cdots\)
1.114.a.a	$1$	$114$	1.a	1.a	$1$	$9$	$9$	$80.863$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(49\!\cdots\!32\)	\(-10\!\cdots\!24\)	\(-31\!\cdots\!50\)	\(-17\!\cdots\!08\)	$+$	$2^{144}\cdot 3^{48}\cdot 5^{19}\cdot 7^{7}\cdot 11^{2}\cdot 13^{2}\cdot 19^{3}\cdot 23$	$\mathrm{SU}(2)$	\(q+(552636039763781+\beta _{1})q^{2}+\cdots\)
3.67.b.a	$3$	$67$	3.b	3.b	$2$	$1$	$1$	$82.760$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(-55\!\cdots\!23\)	\(0\)	\(-15\!\cdots\!14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3^{33}q^{3}+2^{66}q^{4}+\cdots\)
3.67.b.b	$3$	$67$	3.b	3.b	$2$	$20$	$20$	$82.760$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	None		$2$	$0$	\(0\)	\(48\!\cdots\!16\)	\(0\)	\(12\!\cdots\!88\)		$2^{216}\cdot 3^{291}\cdot 5^{20}\cdot 7^{10}\cdot 11^{6}\cdot 13^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(243548779847726+15513\beta _{1}+\cdots)q^{3}+\cdots\)
2.82.a.a	$2$	$82$	2.a	1.a	$1$	$3$	$3$	$83.100$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-32\!\cdots\!28\)	\(12\!\cdots\!88\)	\(-20\!\cdots\!50\)	\(-55\!\cdots\!24\)	$+$	$2^{23}\cdot 3^{10}\cdot 5^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q-2^{40}q^{2}+(4201453557463404996+\cdots)q^{3}+\cdots\)
2.82.a.b	$2$	$82$	2.a	1.a	$1$	$4$	$4$	$83.100$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(43\!\cdots\!04\)	\(-71\!\cdots\!04\)	\(24\!\cdots\!80\)	\(18\!\cdots\!92\)	$-$	$2^{45}\cdot 3^{15}\cdot 5^{5}\cdot 7^{2}\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{40}q^{2}+(-1777934344659239676+\cdots)q^{3}+\cdots\)
1.116.a.a	$1$	$116$	1.a	1.a	$1$	$9$	$9$	$83.750$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-11\!\cdots\!44\)	\(34\!\cdots\!92\)	\(-94\!\cdots\!90\)	\(18\!\cdots\!56\)	$+$	$2^{142}\cdot 3^{52}\cdot 5^{17}\cdot 7^{8}\cdot 11^{3}\cdot 13^{3}\cdot 17\cdot 19^{3}\cdot 23^{3}\cdot 29^{2}$	$\mathrm{SU}(2)$	\(q+(-12908974454383949-\beta _{1}+\cdots)q^{2}+\cdots\)
3.68.a.a	$3$	$68$	3.a	1.a	$1$	$5$	$5$	$85.287$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-16255223088\)	\(27\!\cdots\!15\)	\(-78\!\cdots\!10\)	\(28\!\cdots\!08\)	$-$	$2^{40}\cdot 3^{20}\cdot 5^{3}\cdot 7^{2}\cdot 11\cdot 17$	$\mathrm{SU}(2)$	\(q+(-3251044618-\beta _{1})q^{2}+3^{33}q^{3}+\cdots\)