Space of modular forms of level 30912, weight 2, and trivial character

• Label: 30912.2.a
• Level: $30912$
• Weight: $2$
• Character orbit: 30912.a
• Rep. character: $\chi_{30912}(1,\cdot)$
• Character field: $\Q$
• Dimension: $528$
• Newform subspaces: $182$
• Sturm bound: $12288$

Defining parameters

Level:	\( N \)	\(=\)	\( 30912 = 2^{6} \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	30912.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 182 \)
Sturm bound:			\(12288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(30912))\).

	Total	New	Old
Modular forms	6192	528	5664
Cusp forms	6097	528	5569
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.

\(2\)	\(3\)	\(7\)	\(23\)	Fricke		Total				Cusp				Eisenstein
						All	New	Old		All	New	Old		All	New	Old
\(+\)	\(+\)	\(+\)	\(+\)	\(+\)		\(370\)	\(32\)	\(338\)		\(365\)	\(32\)	\(333\)		\(5\)	\(0\)	\(5\)
\(+\)	\(+\)	\(+\)	\(-\)	\(-\)		\(400\)	\(35\)	\(365\)		\(394\)	\(35\)	\(359\)		\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(+\)	\(-\)		\(396\)	\(35\)	\(361\)		\(390\)	\(35\)	\(355\)		\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(-\)	\(+\)		\(382\)	\(32\)	\(350\)		\(376\)	\(32\)	\(344\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(+\)	\(-\)		\(388\)	\(35\)	\(353\)		\(382\)	\(35\)	\(347\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(-\)	\(+\)		\(390\)	\(32\)	\(358\)		\(384\)	\(32\)	\(352\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(+\)	\(+\)		\(394\)	\(32\)	\(362\)		\(388\)	\(32\)	\(356\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(-\)	\(-\)		\(376\)	\(35\)	\(341\)		\(370\)	\(35\)	\(335\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(+\)	\(-\)		\(404\)	\(34\)	\(370\)		\(398\)	\(34\)	\(364\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(-\)	\(+\)		\(374\)	\(31\)	\(343\)		\(368\)	\(31\)	\(337\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(+\)	\(+\)		\(378\)	\(31\)	\(347\)		\(372\)	\(31\)	\(341\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(-\)	\(-\)		\(392\)	\(34\)	\(358\)		\(386\)	\(34\)	\(352\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(+\)	\(+\)		\(386\)	\(31\)	\(355\)		\(380\)	\(31\)	\(349\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(-\)	\(-\)		\(384\)	\(34\)	\(350\)		\(378\)	\(34\)	\(344\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(+\)	\(-\)		\(380\)	\(34\)	\(346\)		\(374\)	\(34\)	\(340\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(-\)	\(+\)		\(398\)	\(31\)	\(367\)		\(392\)	\(31\)	\(361\)		\(6\)	\(0\)	\(6\)
Plus space				\(+\)		\(3072\)	\(252\)	\(2820\)		\(3025\)	\(252\)	\(2773\)		\(47\)	\(0\)	\(47\)
Minus space				\(-\)		\(3120\)	\(276\)	\(2844\)		\(3072\)	\(276\)	\(2796\)		\(48\)	\(0\)	\(48\)

Trace form

\( 528 q + 528 q^{9} - 32 q^{17} + 496 q^{25} - 32 q^{41} + 528 q^{49} + 32 q^{73} + 528 q^{81} + 32 q^{89} - 32 q^{97}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(30912))\) 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	23
30912.2.a.a	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-4\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}-q^{7}+q^{9}+5q^{11}+2q^{13}+\cdots\)
30912.2.a.b	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-4\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}+q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots\)
30912.2.a.c	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots\)
30912.2.a.d	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-3\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-q^{7}+q^{9}+4q^{11}-3q^{13}+\cdots\)
30912.2.a.e	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots\)
30912.2.a.f	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-q^{7}+q^{9}-2q^{13}+2q^{15}+\cdots\)
30912.2.a.g	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}-5q^{11}-4q^{13}+\cdots\)
30912.2.a.h	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}-4q^{11}-4q^{13}+\cdots\)
30912.2.a.i	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}-4q^{11}-4q^{13}+\cdots\)
30912.2.a.j	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots\)
30912.2.a.k	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+q^{7}+q^{9}-6q^{13}+2q^{15}+\cdots\)
30912.2.a.l	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}+q^{13}+q^{15}+\cdots\)
30912.2.a.m	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}+q^{13}+\cdots\)
30912.2.a.n	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{7}+q^{9}-q^{11}+6q^{13}-7q^{19}+\cdots\)
30912.2.a.o	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots\)
30912.2.a.p	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
30912.2.a.q	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-5q^{11}+6q^{13}+\cdots\)
30912.2.a.r	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
30912.2.a.s	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
30912.2.a.t	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-q^{11}-2q^{13}+4q^{17}+\cdots\)
30912.2.a.u	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{13}-q^{15}+\cdots\)
30912.2.a.v	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
30912.2.a.w	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
30912.2.a.x	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
30912.2.a.y	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
30912.2.a.z	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
30912.2.a.ba	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}-4q^{13}-2q^{15}+\cdots\)
30912.2.a.bb	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}-2q^{15}-2q^{19}+\cdots\)
30912.2.a.bc	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+q^{7}+q^{9}+q^{11}-2q^{15}+\cdots\)
30912.2.a.bd	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}+q^{9}-5q^{13}-3q^{15}+\cdots\)
30912.2.a.be	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}+q^{9}+q^{13}-3q^{15}+\cdots\)
30912.2.a.bf	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(4\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{5}-q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
30912.2.a.bg	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-4\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}-q^{7}+q^{9}+3q^{11}+2q^{13}+\cdots\)
30912.2.a.bh	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-4\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}+q^{7}+q^{9}-5q^{11}+2q^{13}+\cdots\)
30912.2.a.bi	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-3\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}+q^{7}+q^{9}-4q^{11}-3q^{13}+\cdots\)
30912.2.a.bj	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-3\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots\)
30912.2.a.bk	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}-6q^{13}-2q^{15}+\cdots\)
30912.2.a.bl	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}+3q^{11}+4q^{13}+\cdots\)
30912.2.a.bm	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
30912.2.a.bn	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
30912.2.a.bo	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}+5q^{11}-4q^{13}+\cdots\)
30912.2.a.bp	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}-2q^{13}-2q^{15}+\cdots\)
30912.2.a.bq	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
30912.2.a.br	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}+q^{13}+\cdots\)
30912.2.a.bs	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{13}-q^{15}+\cdots\)
30912.2.a.bt	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}+q^{11}-2q^{13}+4q^{17}+\cdots\)
30912.2.a.bu	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(0\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots\)
30912.2.a.bv	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}+3q^{11}-2q^{13}+\cdots\)
30912.2.a.bw	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}+5q^{11}+6q^{13}+\cdots\)
30912.2.a.bx	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
30912.2.a.by	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
30912.2.a.bz	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{7}+q^{9}+q^{11}+6q^{13}+7q^{19}+\cdots\)
30912.2.a.ca	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}+q^{9}+q^{13}+q^{15}+\cdots\)
30912.2.a.cb	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}-q^{11}+2q^{15}+\cdots\)
30912.2.a.cc	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}-4q^{13}+2q^{15}+\cdots\)
30912.2.a.cd	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}+2q^{15}+2q^{19}+\cdots\)
30912.2.a.ce	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
30912.2.a.cf	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
30912.2.a.cg	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
30912.2.a.ch	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
30912.2.a.ci	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
30912.2.a.cj	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-q^{7}+q^{9}-5q^{13}+3q^{15}+\cdots\)
30912.2.a.ck	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(-1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-q^{7}+q^{9}+q^{13}+3q^{15}+\cdots\)
30912.2.a.cl	$30912$	$2$	30912.a	1.a	$1$	$1$	$1$	$246.834$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(4\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{5}+q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
30912.2.a.cm	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-5\)	\(2\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.cn	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-4\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.co	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-4\)	\(2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.cp	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.cq	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.cr	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.cs	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(2\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.ct	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(2\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.cu	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(2\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.cv	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(2\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.cw	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{29}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(2\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.cx	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.cy	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.cz	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.da	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(2\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.db	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(-2\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.dc	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(2\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.dd	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(4\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.de	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(4\)	\(2\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.df	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(5\)	\(-2\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.dg	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(5\)	\(2\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.dh	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(5\)	\(2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.di	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(5\)	\(2\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.dj	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-5\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.dk	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-4\)	\(-2\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.dl	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-4\)	\(2\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.dm	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{29}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(-2\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.dn	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.do	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(-2\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.dp	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(-2\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.dq	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(-2\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.dr	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(-2\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.ds	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(2\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.dt	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(2\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.du	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(0\)	\(2\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.dv	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.dw	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.dx	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.dy	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(-2\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.dz	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(2\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.ea	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(4\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.eb	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{41}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(4\)	\(2\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.ec	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(5\)	\(-2\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.ed	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(5\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.ee	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(5\)	\(-2\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.ef	$30912$	$2$	30912.a	1.a	$1$	$2$	$2$	$246.834$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(5\)	\(2\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.eg	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.837.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-3\)	\(-3\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.eh	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.1101.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-1\)	\(-3\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.ei	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.1229.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-1\)	\(-3\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.ej	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-1\)	\(-3\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.ek	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.837.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.el	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.961.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(1\)	\(-3\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.em	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.1509.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(1\)	\(-3\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.en	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(1\)	\(3\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.eo	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.621.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(3\)	\(-3\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.ep	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.733.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(3\)	\(-3\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.eq	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(3\)	\(3\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.er	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.837.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-3\)	\(3\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.es	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-1\)	\(3\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.et	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.1229.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-1\)	\(3\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.eu	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.1101.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-1\)	\(3\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.ev	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.837.1	None	✓	?				$-1$		\(0\)	\(3\)	\(0\)	\(3\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.ew	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(3\)	\(1\)	\(-3\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.ex	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.1509.1	None	✓	?				$-1$		\(0\)	\(3\)	\(1\)	\(3\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.ey	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.961.1	None	✓	?				$-1$		\(0\)	\(3\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.ez	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(3\)	\(3\)	\(-3\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.fa	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.733.1	None	✓	?				$-1$		\(0\)	\(3\)	\(3\)	\(3\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.fb	$30912$	$2$	30912.a	1.a	$1$	$3$	$3$	$246.834$	3.3.621.1	None	✓	?				$-1$		\(0\)	\(3\)	\(3\)	\(3\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.fc	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	4.4.24197.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(-5\)	\(-4\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.fd	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\sqrt{11 +2 \sqrt{17}})\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(-5\)	\(4\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.fe	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	4.4.256549.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(-2\)	\(4\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.ff	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\zeta_{20})^+\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(-2\)	\(4\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.fg	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\sqrt{66 -6 \sqrt{41}})\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(-1\)	\(4\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.fh	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\sqrt{19 +2 \sqrt{89}})\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(2\)	\(-4\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.fi	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\sqrt{38 +2 \sqrt{5}})\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(3\)	\(-4\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.fj	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\sqrt{11 +2 \sqrt{17}})\)	None	✓	?				$-1$		\(0\)	\(4\)	\(-5\)	\(-4\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.fk	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	4.4.24197.1	None	✓	?				$-1$		\(0\)	\(4\)	\(-5\)	\(4\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.fl	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\zeta_{20})^+\)	None	✓	?				$-1$		\(0\)	\(4\)	\(-2\)	\(-4\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.fm	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	4.4.256549.1	None	✓	?				$-1$		\(0\)	\(4\)	\(-2\)	\(-4\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.fn	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\sqrt{66 -6 \sqrt{41}})\)	None	✓	?				$-1$		\(0\)	\(4\)	\(-1\)	\(-4\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.fo	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\sqrt{19 +2 \sqrt{89}})\)	None	✓	?				$-1$		\(0\)	\(4\)	\(2\)	\(4\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.fp	$30912$	$2$	30912.a	1.a	$1$	$4$	$4$	$246.834$	\(\Q(\sqrt{38 +2 \sqrt{5}})\)	None	✓	?				$-1$		\(0\)	\(4\)	\(3\)	\(4\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.fq	$30912$	$2$	30912.a	1.a	$1$	$5$	$5$	$246.834$	5.5.2055632.1	None	✓	?				$-1$		\(0\)	\(-5\)	\(-8\)	\(-5\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.fr	$30912$	$2$	30912.a	1.a	$1$	$5$	$5$	$246.834$	5.5.809024.1	None	✓	?				$-1$		\(0\)	\(-5\)	\(-4\)	\(5\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.fs	$30912$	$2$	30912.a	1.a	$1$	$5$	$5$	$246.834$	5.5.809024.1	None	✓	?				$-1$		\(0\)	\(-5\)	\(0\)	\(5\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.ft	$30912$	$2$	30912.a	1.a	$1$	$5$	$5$	$246.834$	5.5.17679757.1	None	✓	?				$-1$		\(0\)	\(-5\)	\(6\)	\(5\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.fu	$30912$	$2$	30912.a	1.a	$1$	$5$	$5$	$246.834$	5.5.2055632.1	None	✓	?				$-1$		\(0\)	\(5\)	\(-8\)	\(5\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.fv	$30912$	$2$	30912.a	1.a	$1$	$5$	$5$	$246.834$	5.5.809024.1	None	✓	?				$-1$		\(0\)	\(5\)	\(-4\)	\(-5\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.fw	$30912$	$2$	30912.a	1.a	$1$	$5$	$5$	$246.834$	5.5.809024.1	None	✓	?				$-1$		\(0\)	\(5\)	\(0\)	\(-5\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.fx	$30912$	$2$	30912.a	1.a	$1$	$5$	$5$	$246.834$	5.5.17679757.1	None	✓	?				$-1$		\(0\)	\(5\)	\(6\)	\(-5\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.fy	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	6.6.136450752.1	None	✓	?				$-1$		\(0\)	\(-6\)	\(-4\)	\(-6\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.fz	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	6.6.42147472.1	None	✓	?	✓			$-1$		\(0\)	\(-6\)	\(-2\)	\(-6\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.ga	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-6\)	\(-2\)	\(6\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.gb	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-6\)	\(0\)	\(-6\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.gc	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	6.6.136450752.1	None	✓	?				$-1$		\(0\)	\(-6\)	\(8\)	\(-6\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.gd	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	6.6.136450752.1	None	✓	?				$-1$		\(0\)	\(6\)	\(-4\)	\(6\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.ge	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(6\)	\(-2\)	\(-6\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.gf	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	6.6.42147472.1	None	✓	?	✓			$-1$		\(0\)	\(6\)	\(-2\)	\(6\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.gg	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(6\)	\(0\)	\(6\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.gh	$30912$	$2$	30912.a	1.a	$1$	$6$	$6$	$246.834$	6.6.136450752.1	None	✓	?				$-1$		\(0\)	\(6\)	\(8\)	\(6\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.gi	$30912$	$2$	30912.a	1.a	$1$	$7$	$7$	$246.834$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-7\)	\(1\)	\(-7\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.gj	$30912$	$2$	30912.a	1.a	$1$	$7$	$7$	$246.834$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-7\)	\(1\)	\(7\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.gk	$30912$	$2$	30912.a	1.a	$1$	$7$	$7$	$246.834$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-7\)	\(2\)	\(-7\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.gl	$30912$	$2$	30912.a	1.a	$1$	$7$	$7$	$246.834$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-7\)	\(3\)	\(7\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.gm	$30912$	$2$	30912.a	1.a	$1$	$7$	$7$	$246.834$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(7\)	\(1\)	\(-7\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.gn	$30912$	$2$	30912.a	1.a	$1$	$7$	$7$	$246.834$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(7\)	\(1\)	\(7\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.go	$30912$	$2$	30912.a	1.a	$1$	$7$	$7$	$246.834$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(7\)	\(2\)	\(7\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.gp	$30912$	$2$	30912.a	1.a	$1$	$7$	$7$	$246.834$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(7\)	\(3\)	\(-7\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.gq	$30912$	$2$	30912.a	1.a	$1$	$8$	$8$	$246.834$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-8\)	\(-1\)	\(8\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.gr	$30912$	$2$	30912.a	1.a	$1$	$8$	$8$	$246.834$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(8\)	\(-1\)	\(-8\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.gs	$30912$	$2$	30912.a	1.a	$1$	$9$	$9$	$246.834$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-9\)	\(-6\)	\(-9\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
30912.2.a.gt	$30912$	$2$	30912.a	1.a	$1$	$9$	$9$	$246.834$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-9\)	\(3\)	\(-9\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.gu	$30912$	$2$	30912.a	1.a	$1$	$9$	$9$	$246.834$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(9\)	\(-6\)	\(9\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
30912.2.a.gv	$30912$	$2$	30912.a	1.a	$1$	$9$	$9$	$246.834$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(9\)	\(3\)	\(9\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.gw	$30912$	$2$	30912.a	1.a	$1$	$10$	$10$	$246.834$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-10\)	\(-2\)	\(10\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
30912.2.a.gx	$30912$	$2$	30912.a	1.a	$1$	$10$	$10$	$246.834$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(10\)	\(-2\)	\(-10\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.gy	$30912$	$2$	30912.a	1.a	$1$	$11$	$11$	$246.834$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-11\)	\(-4\)	\(11\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
30912.2.a.gz	$30912$	$2$	30912.a	1.a	$1$	$11$	$11$	$246.834$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(11\)	\(-4\)	\(-11\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(30912))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(30912)) \simeq \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(23))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(24))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(32))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(46))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(48))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(56))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(64))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(69))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(84))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(92))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(96))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(112))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(138))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(161))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(168))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(184))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(192))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(224))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(276))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(322))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(336))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(368))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(448))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(483))\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(552))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(644))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(672))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(736))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(966))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1104))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1288))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1344))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1472))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1932))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2208))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2576))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3864))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4416))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(5152))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(7728))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(10304))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(15456))\)\(^{\oplus 2}\)