Space of modular forms of level 22848, weight 2, and trivial character

• Label: 22848.2.a
• Level: $22848$
• Weight: $2$
• Character orbit: 22848.a
• Rep. character: $\chi_{22848}(1,\cdot)$
• Character field: $\Q$
• Dimension: $384$
• Newform subspaces: $164$
• Sturm bound: $9216$

Defining parameters

Level:	\( N \)	\(=\)	\( 22848 = 2^{6} \cdot 3 \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	22848.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 164 \)
Sturm bound:			\(9216\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(22848))\).

	Total	New	Old
Modular forms	4656	384	4272
Cusp forms	4561	384	4177
Eisenstein series	95	0	95

The following table gives the dimensions of the cuspidal new subspaces with specified eigenvalues for the Atkin-Lehner operators and the Fricke involution.

\(2\)	\(3\)	\(7\)	\(17\)	Fricke		Total				Cusp				Eisenstein
						All	New	Old		All	New	Old		All	New	Old
\(+\)	\(+\)	\(+\)	\(+\)	\(+\)		\(273\)	\(24\)	\(249\)		\(268\)	\(24\)	\(244\)		\(5\)	\(0\)	\(5\)
\(+\)	\(+\)	\(+\)	\(-\)	\(-\)		\(305\)	\(23\)	\(282\)		\(299\)	\(23\)	\(276\)		\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(+\)	\(-\)		\(301\)	\(27\)	\(274\)		\(295\)	\(27\)	\(268\)		\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(-\)	\(+\)		\(285\)	\(22\)	\(263\)		\(279\)	\(22\)	\(257\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(+\)	\(-\)		\(281\)	\(23\)	\(258\)		\(275\)	\(23\)	\(252\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(-\)	\(+\)		\(305\)	\(24\)	\(281\)		\(299\)	\(24\)	\(275\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(+\)	\(+\)		\(293\)	\(22\)	\(271\)		\(287\)	\(22\)	\(265\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(-\)	\(-\)		\(285\)	\(27\)	\(258\)		\(279\)	\(27\)	\(252\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(+\)	\(-\)		\(299\)	\(24\)	\(275\)		\(293\)	\(24\)	\(269\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(-\)	\(+\)		\(287\)	\(25\)	\(262\)		\(281\)	\(25\)	\(256\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(+\)	\(+\)		\(291\)	\(21\)	\(270\)		\(285\)	\(21\)	\(264\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(-\)	\(-\)		\(287\)	\(26\)	\(261\)		\(281\)	\(26\)	\(255\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(+\)	\(+\)		\(291\)	\(25\)	\(266\)		\(285\)	\(25\)	\(260\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(-\)	\(-\)		\(287\)	\(24\)	\(263\)		\(281\)	\(24\)	\(257\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(+\)	\(-\)		\(299\)	\(26\)	\(273\)		\(293\)	\(26\)	\(267\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(-\)	\(+\)		\(287\)	\(21\)	\(266\)		\(281\)	\(21\)	\(260\)		\(6\)	\(0\)	\(6\)
Plus space				\(+\)		\(2312\)	\(184\)	\(2128\)		\(2265\)	\(184\)	\(2081\)		\(47\)	\(0\)	\(47\)
Minus space				\(-\)		\(2344\)	\(200\)	\(2144\)		\(2296\)	\(200\)	\(2096\)		\(48\)	\(0\)	\(48\)

Trace form

\( 384 q + 384 q^{9} + 384 q^{25} - 32 q^{29} - 32 q^{37} + 384 q^{49} - 32 q^{53} - 32 q^{77} + 384 q^{81}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(22848))\) into newform subspaces

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7	17
22848.2.a.a	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-q^{7}+q^{9}-5q^{11}+3q^{13}+\cdots\)
22848.2.a.b	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-3\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-q^{7}+q^{9}-q^{11}-3q^{13}+\cdots\)
22848.2.a.c	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-3\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
22848.2.a.d	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}+q^{9}-6q^{11}-4q^{13}+\cdots\)
22848.2.a.e	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
22848.2.a.f	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
22848.2.a.g	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
22848.2.a.h	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}+q^{9}+2q^{13}+2q^{15}+\cdots\)
22848.2.a.i	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
22848.2.a.j	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}-6q^{11}+2q^{15}+\cdots\)
22848.2.a.k	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}-6q^{13}+2q^{15}+\cdots\)
22848.2.a.l	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}+2q^{13}+2q^{15}+\cdots\)
22848.2.a.m	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
22848.2.a.n	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}-5q^{11}+5q^{13}+\cdots\)
22848.2.a.o	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
22848.2.a.p	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+7q^{13}+\cdots\)
22848.2.a.q	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}+3q^{11}+q^{13}+\cdots\)
22848.2.a.r	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}+5q^{11}+q^{13}+\cdots\)
22848.2.a.s	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+q^{7}+q^{9}+3q^{11}-3q^{13}+\cdots\)
22848.2.a.t	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+q^{7}+q^{9}+3q^{11}+3q^{13}+\cdots\)
22848.2.a.u	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-q^{7}+q^{9}-5q^{11}+5q^{13}+\cdots\)
22848.2.a.v	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
22848.2.a.w	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-q^{7}+q^{9}+3q^{11}-q^{13}+\cdots\)
22848.2.a.x	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+3q^{13}+\cdots\)
22848.2.a.y	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{7}+q^{9}+5q^{11}-q^{13}+\cdots\)
22848.2.a.z	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
22848.2.a.ba	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots\)
22848.2.a.bb	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}-2q^{13}-2q^{15}+\cdots\)
22848.2.a.bc	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
22848.2.a.bd	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots\)
22848.2.a.be	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}+6q^{13}-2q^{15}+\cdots\)
22848.2.a.bf	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}+2q^{11}-2q^{15}+\cdots\)
22848.2.a.bg	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
22848.2.a.bh	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
22848.2.a.bi	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}-q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
22848.2.a.bj	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}+q^{9}-5q^{11}-q^{13}+\cdots\)
22848.2.a.bk	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}+q^{9}-3q^{11}-5q^{13}+\cdots\)
22848.2.a.bl	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}+q^{9}+3q^{11}-q^{13}+\cdots\)
22848.2.a.bm	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}+q^{9}+3q^{11}+q^{13}+\cdots\)
22848.2.a.bn	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-3\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
22848.2.a.bo	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-3\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}+q^{7}+q^{9}+q^{11}-3q^{13}+\cdots\)
22848.2.a.bp	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-3\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}+q^{7}+q^{9}+5q^{11}+3q^{13}+\cdots\)
22848.2.a.bq	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
22848.2.a.br	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}-6q^{13}-2q^{15}+\cdots\)
22848.2.a.bs	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}+2q^{13}-2q^{15}+\cdots\)
22848.2.a.bt	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}+6q^{11}-2q^{15}+\cdots\)
22848.2.a.bu	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
22848.2.a.bv	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{13}-2q^{15}+\cdots\)
22848.2.a.bw	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots\)
22848.2.a.bx	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
22848.2.a.by	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
22848.2.a.bz	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}+6q^{11}-4q^{13}+\cdots\)
22848.2.a.ca	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}+q^{9}-3q^{11}-3q^{13}+\cdots\)
22848.2.a.cb	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}+q^{9}-3q^{11}+3q^{13}+\cdots\)
22848.2.a.cc	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}-5q^{11}+q^{13}+\cdots\)
22848.2.a.cd	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}-3q^{11}+q^{13}+\cdots\)
22848.2.a.ce	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
22848.2.a.cf	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+7q^{13}+\cdots\)
22848.2.a.cg	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+5q^{11}+5q^{13}+\cdots\)
22848.2.a.ch	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}+q^{9}-5q^{11}-q^{13}+\cdots\)
22848.2.a.ci	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+3q^{13}+\cdots\)
22848.2.a.cj	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}+q^{9}-3q^{11}-q^{13}+\cdots\)
22848.2.a.ck	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
22848.2.a.cl	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}+q^{9}+5q^{11}+5q^{13}+\cdots\)
22848.2.a.cm	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
22848.2.a.cn	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
22848.2.a.co	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{15}+\cdots\)
22848.2.a.cp	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}+6q^{13}+2q^{15}+\cdots\)
22848.2.a.cq	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots\)
22848.2.a.cr	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
22848.2.a.cs	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}-2q^{13}+2q^{15}+\cdots\)
22848.2.a.ct	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
22848.2.a.cu	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
22848.2.a.cv	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-q^{7}+q^{9}-3q^{11}-q^{13}+\cdots\)
22848.2.a.cw	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-q^{7}+q^{9}-3q^{11}+q^{13}+\cdots\)
22848.2.a.cx	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-q^{7}+q^{9}+3q^{11}-5q^{13}+\cdots\)
22848.2.a.cy	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-q^{7}+q^{9}+5q^{11}-q^{13}+\cdots\)
22848.2.a.cz	$22848$	$2$	22848.a	1.a	$1$	$1$	$1$	$182.442$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
22848.2.a.da	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{201}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-6\)	\(2\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.db	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-4\)	\(2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.dc	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{6}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-4\)	\(2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.dd	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-3\)	\(-2\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.de	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-3\)	\(-2\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.df	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{10}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-2\)	\(2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.dg	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dh	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{15}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.di	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.dj	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(2\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dk	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(2\)	\(2\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dl	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(2\)	\(2\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dm	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dn	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(2\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.do	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(2\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dp	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(4\)	\(-2\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.dq	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(4\)	\(2\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.dr	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{201}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-6\)	\(-2\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.ds	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{6}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-4\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dt	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-4\)	\(-2\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.du	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-3\)	\(2\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.dv	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-3\)	\(2\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.dw	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{10}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-2\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dx	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(2\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.dy	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.dz	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{15}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(0\)	\(2\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.ea	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(2\)	\(-2\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.eb	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(2\)	\(-2\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.ec	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(2\)	\(2\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.ed	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(-2\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.ee	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(-2\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.ef	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(2\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.eg	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(4\)	\(-2\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.eh	$22848$	$2$	22848.a	1.a	$1$	$2$	$2$	$182.442$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(4\)	\(2\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.ei	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.756.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-3\)	\(-3\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.ej	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.4764.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-2\)	\(-3\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.ek	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.961.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-2\)	\(-3\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.el	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.316.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-2\)	\(3\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.em	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-1\)	\(3\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.en	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(1\)	\(-3\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.eo	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.316.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(2\)	\(-3\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.ep	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.568.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(4\)	\(-3\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.eq	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.756.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-3\)	\(3\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.er	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.316.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-2\)	\(-3\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.es	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.961.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-2\)	\(3\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.et	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.4764.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-2\)	\(3\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.eu	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-1\)	\(-3\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.ev	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(3\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.ew	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.316.1	None	✓	?				$-1$		\(0\)	\(3\)	\(2\)	\(3\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.ex	$22848$	$2$	22848.a	1.a	$1$	$3$	$3$	$182.442$	3.3.568.1	None	✓	?				$-1$		\(0\)	\(3\)	\(4\)	\(3\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.ey	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.183064.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(-5\)	\(4\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.ez	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.7232.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(-2\)	\(4\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.fa	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.11348.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(-2\)	\(4\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fb	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.20308.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(-1\)	\(4\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.fc	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.33428.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(1\)	\(-4\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.fd	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.81416.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(1\)	\(-4\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fe	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.7232.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(2\)	\(-4\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.ff	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.78292.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(5\)	\(-4\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.fg	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.183064.1	None	✓	?				$-1$		\(0\)	\(4\)	\(-5\)	\(-4\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fh	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.11348.1	None	✓	?				$-1$		\(0\)	\(4\)	\(-2\)	\(-4\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fi	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.7232.1	None	✓	?				$-1$		\(0\)	\(4\)	\(-2\)	\(-4\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fj	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.20308.1	None	✓	?				$-1$		\(0\)	\(4\)	\(-1\)	\(-4\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.fk	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.81416.1	None	✓	?				$-1$		\(0\)	\(4\)	\(1\)	\(4\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.fl	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.33428.1	None	✓	?				$-1$		\(0\)	\(4\)	\(1\)	\(4\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.fm	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.7232.1	None	✓	?				$-1$		\(0\)	\(4\)	\(2\)	\(4\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.fn	$22848$	$2$	22848.a	1.a	$1$	$4$	$4$	$182.442$	4.4.78292.1	None	✓	?				$-1$		\(0\)	\(4\)	\(5\)	\(4\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.fo	$22848$	$2$	22848.a	1.a	$1$	$5$	$5$	$182.442$	5.5.14050576.1	None	✓	?				$-1$		\(0\)	\(-5\)	\(-1\)	\(5\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.fp	$22848$	$2$	22848.a	1.a	$1$	$5$	$5$	$182.442$	5.5.3035380.1	None	✓	?				$-1$		\(0\)	\(-5\)	\(5\)	\(5\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.fq	$22848$	$2$	22848.a	1.a	$1$	$5$	$5$	$182.442$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-5\)	\(6\)	\(5\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.fr	$22848$	$2$	22848.a	1.a	$1$	$5$	$5$	$182.442$	5.5.14050576.1	None	✓	?				$-1$		\(0\)	\(5\)	\(-1\)	\(-5\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.fs	$22848$	$2$	22848.a	1.a	$1$	$5$	$5$	$182.442$	5.5.3035380.1	None	✓	?				$-1$		\(0\)	\(5\)	\(5\)	\(-5\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.ft	$22848$	$2$	22848.a	1.a	$1$	$5$	$5$	$182.442$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(5\)	\(6\)	\(-5\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.fu	$22848$	$2$	22848.a	1.a	$1$	$6$	$6$	$182.442$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-6\)	\(-5\)	\(-6\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fv	$22848$	$2$	22848.a	1.a	$1$	$6$	$6$	$182.442$	6.6.306050884.1	None	✓	?	✓			$-1$		\(0\)	\(-6\)	\(-4\)	\(6\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fw	$22848$	$2$	22848.a	1.a	$1$	$6$	$6$	$182.442$	6.6.97623076.1	None	✓	?	✓			$-1$		\(0\)	\(-6\)	\(-2\)	\(-6\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.fx	$22848$	$2$	22848.a	1.a	$1$	$6$	$6$	$182.442$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(6\)	\(-5\)	\(6\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fy	$22848$	$2$	22848.a	1.a	$1$	$6$	$6$	$182.442$	6.6.306050884.1	None	✓	?	✓			$-1$		\(0\)	\(6\)	\(-4\)	\(-6\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
22848.2.a.fz	$22848$	$2$	22848.a	1.a	$1$	$6$	$6$	$182.442$	6.6.97623076.1	None	✓	?	✓			$-1$		\(0\)	\(6\)	\(-2\)	\(6\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.ga	$22848$	$2$	22848.a	1.a	$1$	$7$	$7$	$182.442$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-7\)	\(-1\)	\(7\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.gb	$22848$	$2$	22848.a	1.a	$1$	$7$	$7$	$182.442$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-7\)	\(4\)	\(-7\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.gc	$22848$	$2$	22848.a	1.a	$1$	$7$	$7$	$182.442$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(7\)	\(-1\)	\(-7\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
22848.2.a.gd	$22848$	$2$	22848.a	1.a	$1$	$7$	$7$	$182.442$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(7\)	\(4\)	\(7\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.ge	$22848$	$2$	22848.a	1.a	$1$	$8$	$8$	$182.442$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-8\)	\(-1\)	\(8\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.gf	$22848$	$2$	22848.a	1.a	$1$	$8$	$8$	$182.442$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-8\)	\(1\)	\(-8\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
22848.2.a.gg	$22848$	$2$	22848.a	1.a	$1$	$8$	$8$	$182.442$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(8\)	\(-1\)	\(-8\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
22848.2.a.gh	$22848$	$2$	22848.a	1.a	$1$	$8$	$8$	$182.442$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(8\)	\(1\)	\(8\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(22848))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(22848)) \simeq \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(17))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(24))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(32))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(34))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(48))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(51))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(56))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(64))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(68))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(84))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(96))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(102))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(112))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(119))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(136))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(168))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(192))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(204))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(224))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(238))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(272))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(336))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(357))\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(408))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(448))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(476))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(544))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(672))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(714))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(816))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(952))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1088))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1344))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1428))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1632))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1904))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2856))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3264))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3808))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(5712))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(7616))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(11424))\)\(^{\oplus 2}\)