Newform search results

Results (1-50 of 150 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
7.10.a.b	$7$	$10$	7.a	1.a	$1$	$3$	$3$	$3.605$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(21\)	\(84\)	\(1554\)	\(7203\)	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(7-\beta _{2})q^{2}+(28-\beta _{1}-\beta _{2})q^{3}+(519+\cdots)q^{4}+\cdots\)
5.14.a.b	$5$	$14$	5.a	1.a	$1$	$3$	$3$	$5.362$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(142\)	\(416\)	\(46875\)	\(448292\)	$-$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(47-\beta _{1})q^{2}+(138-3\beta _{1}-\beta _{2})q^{3}+\cdots\)
7.12.a.b	$7$	$12$	7.a	1.a	$1$	$3$	$3$	$5.378$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(77\)	\(-140\)	\(5026\)	\(-50421\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+(26+\beta _{2})q^{2}+(-47-11\beta _{1}+10\beta _{2})q^{3}+\cdots\)
5.16.a.b	$5$	$16$	5.a	1.a	$1$	$3$	$3$	$7.135$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(3518\)	\(-234375\)	\(-905206\)	$+$	$2^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1170-2^{4}\beta _{1}+8\beta _{2})q^{3}+\cdots\)
7.14.a.a	$7$	$14$	7.a	1.a	$1$	$3$	$3$	$7.506$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(26\)	\(-1796\)	\(-24086\)	\(-352947\)	$+$	$2^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(9-\beta _{1})q^{2}+(-601+7\beta _{1}-\beta _{2})q^{3}+\cdots\)
5.18.a.b	$5$	$18$	5.a	1.a	$1$	$3$	$3$	$9.161$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(118\)	\(15944\)	\(1171875\)	\(2139308\)	$-$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(39-\beta _{1})q^{2}+(5317+8\beta _{1}+\beta _{2})q^{3}+\cdots\)
7.16.a.a	$7$	$16$	7.a	1.a	$1$	$3$	$3$	$9.989$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-438\)	\(-1860\)	\(-111414\)	\(2470629\)	$-$	$2^{2}\cdot 3\cdot 7$	$\mathrm{SU}(2)$	\(q+(-146-\beta _{1})q^{2}+(-620-23\beta _{1}+\cdots)q^{3}+\cdots\)
5.20.a.a	$5$	$20$	5.a	1.a	$1$	$3$	$3$	$11.441$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-1006\)	\(-73452\)	\(5859375\)	\(-54910456\)	$-$	$2^{3}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(-335+\beta _{1})q^{2}+(-24478+18\beta _{1}+\cdots)q^{3}+\cdots\)
3.26.a.b	$3$	$26$	3.a	1.a	$1$	$3$	$3$	$11.880$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-3678\)	\(1594323\)	\(-163152750\)	\(-9622572744\)	$-$	$2^{6}\cdot 3^{5}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(-1226+\beta _{1})q^{2}+3^{12}q^{3}+(30249196+\cdots)q^{4}+\cdots\)
5.22.a.a	$5$	$22$	5.a	1.a	$1$	$3$	$3$	$13.974$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-1312\)	\(52194\)	\(-29296875\)	\(684416558\)	$+$	$2^{7}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(-437+\beta _{1})q^{2}+(17400+8\beta _{1}+\cdots)q^{3}+\cdots\)
3.30.a.b	$3$	$30$	3.a	1.a	$1$	$3$	$3$	$15.983$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(11370\)	\(14348907\)	\(35492909586\)	\(723913582632\)	$-$	$2^{6}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(3790-\beta _{1})q^{2}+3^{14}q^{3}+(701653900+\cdots)q^{4}+\cdots\)
5.24.a.a	$5$	$24$	5.a	1.a	$1$	$3$	$3$	$16.760$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(666\)	\(-139428\)	\(146484375\)	\(-2432683344\)	$-$	$2^{3}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(222+\beta _{1})q^{2}+(-46476+2^{6}\beta _{1}+\cdots)q^{3}+\cdots\)
3.32.a.b	$3$	$32$	3.a	1.a	$1$	$3$	$3$	$18.263$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-7626\)	\(-43046721\)	\(50622172050\)	\(-25\!\cdots\!08\)	$+$	$2^{9}\cdot 3^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-2542+\beta _{1})q^{2}-3^{15}q^{3}+(1406276044+\cdots)q^{4}+\cdots\)
8.20.a.b	$8$	$20$	8.a	1.a	$1$	$3$	$3$	$18.305$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(23732\)	\(2140218\)	\(55851720\)	$+$	$2^{21}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(7911-\beta _{1})q^{3}+(713429-70\beta _{1}+\cdots)q^{5}+\cdots\)
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	✓	$1$	$1$	\(136620\)	\(-129140163\)	\(-260488036134\)	\(10\!\cdots\!32\)	$+$	$2^{11}\cdot 3^{6}\cdot 11$	$\mathrm{SU}(2)$	\(q+(45540-\beta _{1})q^{2}-3^{16}q^{3}+(4863185200+\cdots)q^{4}+\cdots\)
4.30.a.a	$4$	$30$	4.a	1.a	$1$	$3$	$3$	$21.311$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(6139068\)	\(13945023234\)	\(360544308792\)	$-$	$2^{24}\cdot 3^{5}\cdot 7^{2}\cdot 23$	$\mathrm{SU}(2)$	\(q+(2046356-\beta _{1})q^{3}+(4648341078+\cdots)q^{5}+\cdots\)
8.22.a.b	$8$	$22$	8.a	1.a	$1$	$3$	$3$	$22.358$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(96764\)	\(-24111774\)	\(295988280\)	$-$	$2^{21}\cdot 3\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(32255-\beta _{1})q^{3}+(-8037261+9\beta _{1}+\cdots)q^{5}+\cdots\)
3.36.a.b	$3$	$36$	3.a	1.a	$1$	$3$	$3$	$23.279$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-87330\)	\(-387420489\)	\(27\!\cdots\!10\)	\(48\!\cdots\!64\)	$+$	$2^{7}\cdot 3^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-29110+\beta _{1})q^{2}-3^{17}q^{3}+(10829584300+\cdots)q^{4}+\cdots\)
3.38.a.a	$3$	$38$	3.a	1.a	$1$	$3$	$3$	$26.014$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-310908\)	\(-1162261467\)	\(-96\!\cdots\!90\)	\(-46\!\cdots\!44\)	$+$	$2^{9}\cdot 3^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-103636-\beta _{1})q^{2}-3^{18}q^{3}+(112825533616+\cdots)q^{4}+\cdots\)
8.24.a.a	$8$	$24$	8.a	1.a	$1$	$3$	$3$	$26.816$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-213948\)	\(95628618\)	\(-8647912920\)	$-$	$2^{21}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+(-71316-\beta _{1})q^{3}+(31876206+\cdots)q^{5}+\cdots\)
8.24.a.b	$8$	$24$	8.a	1.a	$1$	$3$	$3$	$26.816$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(32708\)	\(31480650\)	\(993025320\)	$+$	$2^{21}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(10903+\beta _{1})q^{3}+(10493544-19\beta _{1}+\cdots)q^{5}+\cdots\)
4.34.a.a	$4$	$34$	4.a	1.a	$1$	$3$	$3$	$27.593$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(92491788\)	\(-53880683886\)	\(45\!\cdots\!92\)	$-$	$2^{22}\cdot 3^{3}\cdot 7\cdot 11\cdot 29$	$\mathrm{SU}(2)$	\(q+(30830596+\beta _{1})q^{3}+(-17960227962+\cdots)q^{5}+\cdots\)
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	✓	$1$	$0$	\(533574\)	\(-3486784401\)	\(-53\!\cdots\!30\)	\(-15\!\cdots\!28\)	$+$	$2^{8}\cdot 3^{6}\cdot 5\cdot 7\cdot 13$	$\mathrm{SU}(2)$	\(q+(177858-\beta _{1})q^{2}-3^{19}q^{3}+(319147551244+\cdots)q^{4}+\cdots\)
2.50.a.b	$2$	$50$	2.a	1.a	$1$	$3$	$3$	$30.413$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(50331648\)	\(-16203614388\)	\(-10\!\cdots\!30\)	\(-12\!\cdots\!96\)	$-$	$2^{22}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+2^{24}q^{2}+(-5401204796-\beta _{1}+\cdots)q^{3}+\cdots\)
4.36.a.a	$4$	$36$	4.a	1.a	$1$	$3$	$3$	$31.038$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(50908884\)	\(280720890\)	\(-55\!\cdots\!16\)	$-$	$2^{24}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(16969628+\beta _{1})q^{3}+(93573630+\cdots)q^{5}+\cdots\)
8.26.a.a	$8$	$26$	8.a	1.a	$1$	$3$	$3$	$31.680$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-106356\)	\(163005426\)	\(-12130107240\)	$+$	$2^{21}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-35452-\beta _{1})q^{3}+(54335142+\cdots)q^{5}+\cdots\)
8.26.a.b	$8$	$26$	8.a	1.a	$1$	$3$	$3$	$31.680$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1255436\)	\(48510450\)	\(5257017240\)	$-$	$2^{21}\cdot 3^{2}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(418479-\beta _{1})q^{3}+(16170191-124\beta _{1}+\cdots)q^{5}+\cdots\)
3.42.a.a	$3$	$42$	3.a	1.a	$1$	$3$	$3$	$31.942$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-289380\)	\(-10460353203\)	\(38\!\cdots\!26\)	\(-44\!\cdots\!68\)	$+$	$2^{10}\cdot 3^{5}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-96460-\beta _{1})q^{2}-3^{20}q^{3}+(-751422059600+\cdots)q^{4}+\cdots\)
10.24.a.d	$10$	$24$	10.a	1.a	$1$	$3$	$3$	$33.520$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(6144\)	\(-229976\)	\(146484375\)	\(-3077368188\)	$+$	$2^{9}\cdot 3\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q+2^{11}q^{2}+(-76659-\beta _{1})q^{3}+2^{22}q^{4}+\cdots\)
4.38.a.a	$4$	$38$	4.a	1.a	$1$	$3$	$3$	$34.686$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-272163492\)	\(36\!\cdots\!94\)	\(15\!\cdots\!92\)	$-$	$2^{24}\cdot 3^{5}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-90721164-\beta _{1})q^{3}+(1213681705398+\cdots)q^{5}+\cdots\)
3.44.a.a	$3$	$44$	3.a	1.a	$1$	$3$	$3$	$35.133$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(4857024\)	\(31381059609\)	\(-50\!\cdots\!70\)	\(-16\!\cdots\!88\)	$-$	$2^{13}\cdot 3^{5}\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q+(1619008-\beta _{1})q^{2}+3^{21}q^{3}+(-593686009856+\cdots)q^{4}+\cdots\)
9.26.a.c	$9$	$26$	9.a	1.a	$1$	$3$	$3$	$35.640$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(3678\)	\(0\)	\(163152750\)	\(-9622572744\)	$-$	$2^{6}\cdot 3^{5}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(1226-\beta _{1})q^{2}+(30249196-1499\beta _{1}+\cdots)q^{4}+\cdots\)
8.28.a.a	$8$	$28$	8.a	1.a	$1$	$3$	$3$	$36.948$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2670252\)	\(-4302869670\)	\(226841322120\)	$-$	$2^{22}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-890084-\beta _{1})q^{3}+(-1434289890+\cdots)q^{5}+\cdots\)
2.56.a.b	$2$	$56$	2.a	1.a	$1$	$3$	$3$	$38.316$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-402653184\)	\(31\!\cdots\!16\)	\(20\!\cdots\!10\)	\(27\!\cdots\!48\)	$+$	$2^{22}\cdot 3^{6}\cdot 5^{3}\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{27}q^{2}+(1035669549772-\beta _{1}+\cdots)q^{3}+\cdots\)
4.40.a.a	$4$	$40$	4.a	1.a	$1$	$3$	$3$	$38.536$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-1269987036\)	\(-81\!\cdots\!90\)	\(26\!\cdots\!24\)	$-$	$2^{22}\cdot 3^{3}\cdot 5\cdot 7\cdot 13$	$\mathrm{SU}(2)$	\(q+(-423329012+\beta _{1})q^{3}+(-27008612411730+\cdots)q^{5}+\cdots\)
2.58.a.b	$2$	$58$	2.a	1.a	$1$	$3$	$3$	$41.153$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(805306368\)	\(-25\!\cdots\!88\)	\(11\!\cdots\!10\)	\(-13\!\cdots\!16\)	$-$	$2^{22}\cdot 3^{6}\cdot 5^{2}\cdot 7\cdot 11\cdot 19$	$\mathrm{SU}(2)$	\(q+2^{28}q^{2}+(-8441370341596+\beta _{1}+\cdots)q^{3}+\cdots\)
3.48.a.a	$3$	$48$	3.a	1.a	$1$	$3$	$3$	$41.972$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-15384840\)	\(282429536481\)	\(15\!\cdots\!50\)	\(59\!\cdots\!84\)	$-$	$2^{10}\cdot 3^{5}\cdot 5^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-5128280-\beta _{1})q^{2}+3^{23}q^{3}+\cdots\)
8.30.a.a	$8$	$30$	8.a	1.a	$1$	$3$	$3$	$42.622$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(6789276\)	\(-17231192190\)	\(479336718840\)	$+$	$2^{22}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(2263092+\beta _{1})q^{3}+(-5743730730+\cdots)q^{5}+\cdots\)
10.28.a.d	$10$	$28$	10.a	1.a	$1$	$3$	$3$	$46.186$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(24576\)	\(4703716\)	\(3662109375\)	\(209206779288\)	$+$	$2^{9}\cdot 3^{3}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q+2^{13}q^{2}+(1567905-\beta _{1})q^{3}+2^{26}q^{4}+\cdots\)
4.44.a.a	$4$	$44$	4.a	1.a	$1$	$3$	$3$	$46.844$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(7902569844\)	\(29\!\cdots\!30\)	\(-25\!\cdots\!36\)	$-$	$2^{24}\cdot 3^{6}\cdot 5\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+(2634189948-\beta _{1})q^{3}+(9956588758110+\cdots)q^{5}+\cdots\)
2.62.a.a	$2$	$62$	2.a	1.a	$1$	$3$	$3$	$47.131$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-3221225472\)	\(75\!\cdots\!12\)	\(22\!\cdots\!30\)	\(36\!\cdots\!24\)	$+$	$2^{24}\cdot 3^{8}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-2^{30}q^{2}+(25004357142804-\beta _{1}+\cdots)q^{3}+\cdots\)
2.62.a.b	$2$	$62$	2.a	1.a	$1$	$3$	$3$	$47.131$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(3221225472\)	\(61\!\cdots\!88\)	\(24\!\cdots\!50\)	\(70\!\cdots\!76\)	$-$	$2^{24}\cdot 3^{5}\cdot 5^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{30}q^{2}+(205798698834196-\beta _{1}+\cdots)q^{3}+\cdots\)
9.30.a.c	$9$	$30$	9.a	1.a	$1$	$3$	$3$	$47.950$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-11370\)	\(0\)	\(-35492909586\)	\(723913582632\)	$-$	$2^{6}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(-3790+\beta _{1})q^{2}+(701653900+\cdots)q^{4}+\cdots\)
2.64.a.b	$2$	$64$	2.a	1.a	$1$	$3$	$3$	$50.272$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-6442450944\)	\(-48\!\cdots\!24\)	\(46\!\cdots\!30\)	\(-40\!\cdots\!12\)	$+$	$2^{22}\cdot 3^{5}\cdot 5^{2}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{31}q^{2}+(-161941361770708+\cdots)q^{3}+\cdots\)
10.30.a.b	$10$	$30$	10.a	1.a	$1$	$3$	$3$	$53.278$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-49152\)	\(-5198628\)	\(18310546875\)	\(-435852143976\)	$-$	$2^{9}\cdot 3^{5}\cdot 5^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q-2^{14}q^{2}+(-1732876+\beta _{1})q^{3}+\cdots\)
10.30.a.c	$10$	$30$	10.a	1.a	$1$	$3$	$3$	$53.278$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-49152\)	\(-4836878\)	\(-18310546875\)	\(-21\!\cdots\!26\)	$+$	$2^{11}\cdot 3\cdot 5^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q-2^{14}q^{2}+(-1612293-\beta _{1})q^{3}+\cdots\)
10.30.a.d	$10$	$30$	10.a	1.a	$1$	$3$	$3$	$53.278$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(49152\)	\(-2209422\)	\(-18310546875\)	\(19\!\cdots\!26\)	$-$	$2^{11}\cdot 3^{5}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q+2^{14}q^{2}+(-736474+\beta _{1})q^{3}+2^{28}q^{4}+\cdots\)
2.66.a.b	$2$	$66$	2.a	1.a	$1$	$3$	$3$	$53.514$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(12884901888\)	\(29\!\cdots\!12\)	\(39\!\cdots\!50\)	\(42\!\cdots\!64\)	$-$	$2^{22}\cdot 3^{8}\cdot 5^{3}\cdot 7\cdot 11\cdot 13$	$\mathrm{SU}(2)$	\(q+2^{32}q^{2}+(994852866070404-\beta _{1}+\cdots)q^{3}+\cdots\)