Space of modular forms of level 45760, weight 2, and trivial character

• Label: 45760.2.a
• Level: $45760$
• Weight: $2$
• Character orbit: 45760.a
• Rep. character: $\chi_{45760}(1,\cdot)$
• Character field: $\Q$
• Dimension: $960$
• Newform subspaces: $188$
• Sturm bound: $16128$

Defining parameters

Level:	\( N \)	\(=\)	\( 45760 = 2^{6} \cdot 5 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	45760.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 188 \)
Sturm bound:			\(16128\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(45760))\).

	Total	New	Old
Modular forms	8112	960	7152
Cusp forms	8017	960	7057
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.

\(2\)	\(5\)	\(11\)	\(13\)	Fricke		Total				Cusp				Eisenstein
						All	New	Old		All	New	Old		All	New	Old
\(+\)	\(+\)	\(+\)	\(+\)	\(+\)		\(496\)	\(60\)	\(436\)		\(491\)	\(60\)	\(431\)		\(5\)	\(0\)	\(5\)
\(+\)	\(+\)	\(+\)	\(-\)	\(-\)		\(510\)	\(58\)	\(452\)		\(504\)	\(58\)	\(446\)		\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(+\)	\(-\)		\(510\)	\(58\)	\(452\)		\(504\)	\(58\)	\(446\)		\(6\)	\(0\)	\(6\)
\(+\)	\(+\)	\(-\)	\(-\)	\(+\)		\(512\)	\(60\)	\(452\)		\(506\)	\(60\)	\(446\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(+\)	\(-\)		\(518\)	\(65\)	\(453\)		\(512\)	\(65\)	\(447\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(+\)	\(-\)	\(+\)		\(504\)	\(57\)	\(447\)		\(498\)	\(57\)	\(441\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(+\)	\(+\)		\(504\)	\(57\)	\(447\)		\(498\)	\(57\)	\(441\)		\(6\)	\(0\)	\(6\)
\(+\)	\(-\)	\(-\)	\(-\)	\(-\)		\(502\)	\(65\)	\(437\)		\(496\)	\(65\)	\(431\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(+\)	\(-\)		\(514\)	\(60\)	\(454\)		\(508\)	\(60\)	\(448\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(+\)	\(-\)	\(+\)		\(500\)	\(62\)	\(438\)		\(494\)	\(62\)	\(432\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(+\)	\(+\)		\(508\)	\(62\)	\(446\)		\(502\)	\(62\)	\(440\)		\(6\)	\(0\)	\(6\)
\(-\)	\(+\)	\(-\)	\(-\)	\(-\)		\(506\)	\(60\)	\(446\)		\(500\)	\(60\)	\(440\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(+\)	\(+\)		\(500\)	\(55\)	\(445\)		\(494\)	\(55\)	\(439\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(+\)	\(-\)	\(-\)		\(514\)	\(63\)	\(451\)		\(508\)	\(63\)	\(445\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(+\)	\(-\)		\(506\)	\(63\)	\(443\)		\(500\)	\(63\)	\(437\)		\(6\)	\(0\)	\(6\)
\(-\)	\(-\)	\(-\)	\(-\)	\(+\)		\(508\)	\(55\)	\(453\)		\(502\)	\(55\)	\(447\)		\(6\)	\(0\)	\(6\)
Plus space				\(+\)		\(4032\)	\(468\)	\(3564\)		\(3985\)	\(468\)	\(3517\)		\(47\)	\(0\)	\(47\)
Minus space				\(-\)		\(4080\)	\(492\)	\(3588\)		\(4032\)	\(492\)	\(3540\)		\(48\)	\(0\)	\(48\)

Trace form

\( 960 q + 960 q^{9} + 960 q^{25} + 960 q^{49} - 64 q^{61} - 64 q^{69} + 896 q^{81} - 64 q^{85} - 64 q^{89}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(45760))\) 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	5	11	13
45760.2.a.a	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-3\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}-q^{7}+6q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.b	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-3\)	\(-1\)	\(3\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}+3q^{7}+6q^{9}+q^{11}+\cdots\)
45760.2.a.c	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}-2q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.d	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}-2q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.e	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(0\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+q^{9}-q^{11}+q^{13}+2q^{15}+\cdots\)
45760.2.a.f	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(4\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+4q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.g	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-1\)	\(4\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+4q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.h	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(-4\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-4q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.i	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-2q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.j	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(-2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-2q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.k	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(-2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-2q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.l	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}+2q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.m	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}+4q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.n	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(1\)	\(4\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}+4q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.o	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.p	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-1\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}-2q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.q	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(-5\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-5q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.r	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(-5\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-5q^{7}-2q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.s	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.t	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{7}-2q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.u	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(1\)	\(3\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+3q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.v	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(-4\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-4q^{7}-3q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.w	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}-q^{11}-q^{13}-7q^{17}+\cdots\)
45760.2.a.x	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}-q^{11}-q^{13}-3q^{17}+\cdots\)
45760.2.a.y	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}-q^{11}-q^{13}+2q^{17}+\cdots\)
45760.2.a.z	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}-q^{11}+q^{13}-2q^{17}+\cdots\)
45760.2.a.ba	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}+q^{11}-q^{13}-7q^{17}+\cdots\)
45760.2.a.bb	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}+q^{11}-q^{13}-3q^{17}+\cdots\)
45760.2.a.bc	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}+q^{11}-q^{13}+2q^{17}+\cdots\)
45760.2.a.bd	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}+q^{11}+q^{13}-2q^{17}+\cdots\)
45760.2.a.be	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(4\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+4q^{7}-3q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.bf	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.bg	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-1\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}-2q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.bh	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(-3\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-3q^{7}-2q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.bi	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.bj	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}-2q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.bk	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(5\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+5q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.bl	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(1\)	\(1\)	\(5\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+5q^{7}-2q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.bm	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(-4\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}-4q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.bn	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(-4\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}-4q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.bo	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(0\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}+q^{9}+q^{11}+q^{13}-2q^{15}+\cdots\)
45760.2.a.bp	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}+2q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
45760.2.a.bq	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(-1\)	\(2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}+2q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.br	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(-4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-4q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
45760.2.a.bs	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(-4\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-4q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.bt	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(-2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-2q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.bu	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+2q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.bv	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(2\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+2q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
45760.2.a.bw	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+2q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.bx	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(2\)	\(1\)	\(4\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+4q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.by	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(3\)	\(-1\)	\(-3\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{5}-3q^{7}+6q^{9}-q^{11}+\cdots\)
45760.2.a.bz	$45760$	$2$	45760.a	1.a	$1$	$1$	$1$	$365.395$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(3\)	\(-1\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{5}+q^{7}+6q^{9}+q^{11}+q^{13}+\cdots\)
45760.2.a.ca	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{97}) \)	None	✓	?				$-1$		\(0\)	\(-4\)	\(2\)	\(-4\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.cb	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-3\)	\(2\)	\(-1\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.cc	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-3\)	\(2\)	\(3\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.cd	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.ce	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.cf	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-2\)	\(6\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.cg	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(2\)	\(-6\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ch	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(2\)	\(-2\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.ci	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(-2\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.cj	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-5\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.ck	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(-3\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.cl	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(1\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.cm	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-2\)	\(5\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.cn	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(-5\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.co	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(-1\)	\(2\)	\(1\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.cp	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(-4\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.cq	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.cr	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.cs	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{7}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ct	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{7}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.cu	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(-2\)	\(4\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.cv	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.cw	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.cx	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-5\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.cy	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(-1\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.cz	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(3\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.da	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(1\)	\(-2\)	\(5\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.db	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{33}) \)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(-1\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.dc	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{13}) \)	None	✓	?				$-1$		\(0\)	\(1\)	\(2\)	\(5\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.dd	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-2\)	\(-6\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.de	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.df	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(-2\)	\(2\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.dg	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(2\)	\(-2\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.dh	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{3}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(2\)	\(2\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.di	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(0\)	\(2\)	\(2\)	\(6\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.dj	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(3\)	\(2\)	\(-3\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.dk	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(0\)	\(3\)	\(2\)	\(1\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.dl	$45760$	$2$	45760.a	1.a	$1$	$2$	$2$	$365.395$	\(\Q(\sqrt{97}) \)	None	✓	?				$-1$		\(0\)	\(4\)	\(2\)	\(4\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.dm	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(3\)	\(4\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.dn	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(-3\)	\(1\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.do	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.564.1	None	✓	?				$-1$		\(0\)	\(-2\)	\(-3\)	\(-2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.dp	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.568.1	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(-2\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.dq	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(0\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.dr	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.1708.1	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(4\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ds	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(-2\)	\(3\)	\(6\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.dt	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.316.1	None	✓	?				$-1$		\(0\)	\(-1\)	\(-3\)	\(5\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.du	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(-1\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.dv	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.568.1	None	✓	?				$-1$		\(0\)	\(-1\)	\(3\)	\(7\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.dw	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(-4\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.dx	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(0\)	\(3\)	\(4\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.dy	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.316.1	None	✓	?				$-1$		\(0\)	\(1\)	\(-3\)	\(-5\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.dz	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.568.1	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(-7\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.ea	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(1\)	\(3\)	\(1\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.eb	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.564.1	None	✓	?				$-1$		\(0\)	\(2\)	\(-3\)	\(2\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ec	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(-6\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.ed	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.1708.1	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(-4\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ee	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(0\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ef	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.568.1	None	✓	?				$-1$		\(0\)	\(2\)	\(3\)	\(2\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.eg	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.229.1	None	✓	?				$-1$		\(0\)	\(3\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.eh	$45760$	$2$	45760.a	1.a	$1$	$3$	$3$	$365.395$	3.3.148.1	None	✓	?				$-1$		\(0\)	\(4\)	\(3\)	\(-4\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ei	$45760$	$2$	45760.a	1.a	$1$	$4$	$4$	$365.395$	4.4.40864.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(-4\)	\(4\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.ej	$45760$	$2$	45760.a	1.a	$1$	$4$	$4$	$365.395$	4.4.69272.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.ek	$45760$	$2$	45760.a	1.a	$1$	$4$	$4$	$365.395$	4.4.69272.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.el	$45760$	$2$	45760.a	1.a	$1$	$4$	$4$	$365.395$	4.4.170528.1	None	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.em	$45760$	$2$	45760.a	1.a	$1$	$4$	$4$	$365.395$	4.4.170528.1	None	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.en	$45760$	$2$	45760.a	1.a	$1$	$4$	$4$	$365.395$	4.4.40864.1	None	✓	?				$-1$		\(0\)	\(4\)	\(-4\)	\(-4\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.eo	$45760$	$2$	45760.a	1.a	$1$	$5$	$5$	$365.395$	5.5.2467004.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(5\)	\(1\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.ep	$45760$	$2$	45760.a	1.a	$1$	$5$	$5$	$365.395$	5.5.16758916.1	None	✓	?				$-1$		\(0\)	\(-1\)	\(-5\)	\(3\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.eq	$45760$	$2$	45760.a	1.a	$1$	$5$	$5$	$365.395$	5.5.2677828.1	None	✓	?				$-1$		\(0\)	\(-1\)	\(5\)	\(-5\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.er	$45760$	$2$	45760.a	1.a	$1$	$5$	$5$	$365.395$	5.5.3696856.1	None	✓	?				$-1$		\(0\)	\(-1\)	\(5\)	\(-1\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.es	$45760$	$2$	45760.a	1.a	$1$	$5$	$5$	$365.395$	5.5.16758916.1	None	✓	?				$-1$		\(0\)	\(1\)	\(-5\)	\(-3\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.et	$45760$	$2$	45760.a	1.a	$1$	$5$	$5$	$365.395$	5.5.3696856.1	None	✓	?				$-1$		\(0\)	\(1\)	\(5\)	\(1\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.eu	$45760$	$2$	45760.a	1.a	$1$	$5$	$5$	$365.395$	5.5.2677828.1	None	✓	?				$-1$		\(0\)	\(1\)	\(5\)	\(5\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ev	$45760$	$2$	45760.a	1.a	$1$	$5$	$5$	$365.395$	5.5.2467004.1	None	✓	?				$-1$		\(0\)	\(3\)	\(5\)	\(-1\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.ew	$45760$	$2$	45760.a	1.a	$1$	$6$	$6$	$365.395$	6.6.37261816.1	None	✓	?				$-1$		\(0\)	\(-4\)	\(6\)	\(-2\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.ex	$45760$	$2$	45760.a	1.a	$1$	$6$	$6$	$365.395$	6.6.573753220.1	None	✓	?				$-1$		\(0\)	\(-3\)	\(6\)	\(-1\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.ey	$45760$	$2$	45760.a	1.a	$1$	$6$	$6$	$365.395$	6.6.3486377.1	None	✓	?				$-1$		\(0\)	\(-2\)	\(6\)	\(8\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ez	$45760$	$2$	45760.a	1.a	$1$	$6$	$6$	$365.395$	6.6.98351993.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-6\)	\(0\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.fa	$45760$	$2$	45760.a	1.a	$1$	$6$	$6$	$365.395$	6.6.98351993.1	None	✓	?				$-1$		\(0\)	\(0\)	\(-6\)	\(0\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.fb	$45760$	$2$	45760.a	1.a	$1$	$6$	$6$	$365.395$	6.6.3486377.1	None	✓	?				$-1$		\(0\)	\(2\)	\(6\)	\(-8\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.fc	$45760$	$2$	45760.a	1.a	$1$	$6$	$6$	$365.395$	6.6.573753220.1	None	✓	?				$-1$		\(0\)	\(3\)	\(6\)	\(1\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fd	$45760$	$2$	45760.a	1.a	$1$	$6$	$6$	$365.395$	6.6.37261816.1	None	✓	?				$-1$		\(0\)	\(4\)	\(6\)	\(2\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fe	$45760$	$2$	45760.a	1.a	$1$	$7$	$7$	$365.395$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-5\)	\(-7\)	\(7\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.ff	$45760$	$2$	45760.a	1.a	$1$	$7$	$7$	$365.395$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(-7\)	\(6\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.fg	$45760$	$2$	45760.a	1.a	$1$	$7$	$7$	$365.395$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-3\)	\(7\)	\(-5\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fh	$45760$	$2$	45760.a	1.a	$1$	$7$	$7$	$365.395$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(3\)	\(7\)	\(5\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fi	$45760$	$2$	45760.a	1.a	$1$	$7$	$7$	$365.395$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(4\)	\(-7\)	\(-6\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.fj	$45760$	$2$	45760.a	1.a	$1$	$7$	$7$	$365.395$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(5\)	\(-7\)	\(-7\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fk	$45760$	$2$	45760.a	1.a	$1$	$8$	$8$	$365.395$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(8\)	\(1\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fl	$45760$	$2$	45760.a	1.a	$1$	$8$	$8$	$365.395$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(8\)	\(5\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.fm	$45760$	$2$	45760.a	1.a	$1$	$8$	$8$	$365.395$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-8\)	\(-2\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.fn	$45760$	$2$	45760.a	1.a	$1$	$8$	$8$	$365.395$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-8\)	\(2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.fo	$45760$	$2$	45760.a	1.a	$1$	$8$	$8$	$365.395$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(1\)	\(8\)	\(-5\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.fp	$45760$	$2$	45760.a	1.a	$1$	$8$	$8$	$365.395$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(1\)	\(8\)	\(-1\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fq	$45760$	$2$	45760.a	1.a	$1$	$9$	$9$	$365.395$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-5\)	\(-9\)	\(3\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.fr	$45760$	$2$	45760.a	1.a	$1$	$9$	$9$	$365.395$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(-9\)	\(6\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fs	$45760$	$2$	45760.a	1.a	$1$	$9$	$9$	$365.395$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(-9\)	\(-4\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.ft	$45760$	$2$	45760.a	1.a	$1$	$9$	$9$	$365.395$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(2\)	\(-9\)	\(4\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.fu	$45760$	$2$	45760.a	1.a	$1$	$9$	$9$	$365.395$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(4\)	\(-9\)	\(-6\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.fv	$45760$	$2$	45760.a	1.a	$1$	$9$	$9$	$365.395$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(5\)	\(-9\)	\(-3\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.fw	$45760$	$2$	45760.a	1.a	$1$	$10$	$10$	$365.395$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(-10\)	\(3\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.fx	$45760$	$2$	45760.a	1.a	$1$	$10$	$10$	$365.395$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-1\)	\(10\)	\(1\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.fy	$45760$	$2$	45760.a	1.a	$1$	$10$	$10$	$365.395$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(1\)	\(-10\)	\(-3\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.fz	$45760$	$2$	45760.a	1.a	$1$	$10$	$10$	$365.395$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(1\)	\(10\)	\(-1\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ga	$45760$	$2$	45760.a	1.a	$1$	$11$	$11$	$365.395$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-11\)	\(-2\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.gb	$45760$	$2$	45760.a	1.a	$1$	$11$	$11$	$365.395$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-11\)	\(2\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.gc	$45760$	$2$	45760.a	1.a	$1$	$12$	$12$	$365.395$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-2\)	\(12\)	\(0\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.gd	$45760$	$2$	45760.a	1.a	$1$	$12$	$12$	$365.395$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(2\)	\(12\)	\(0\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.ge	$45760$	$2$	45760.a	1.a	$1$	$13$	$13$	$365.395$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-5\)	\(13\)	\(-3\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.gf	$45760$	$2$	45760.a	1.a	$1$	$13$	$13$	$365.395$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(13\)	\(-4\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.gg	$45760$	$2$	45760.a	1.a	$1$	$13$	$13$	$365.395$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(4\)	\(13\)	\(4\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.gh	$45760$	$2$	45760.a	1.a	$1$	$13$	$13$	$365.395$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(5\)	\(13\)	\(3\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.gi	$45760$	$2$	45760.a	1.a	$1$	$14$	$14$	$365.395$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-5\)	\(-14\)	\(11\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.gj	$45760$	$2$	45760.a	1.a	$1$	$14$	$14$	$365.395$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-4\)	\(-14\)	\(-4\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.gk	$45760$	$2$	45760.a	1.a	$1$	$14$	$14$	$365.395$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-1\)	\(14\)	\(5\)		$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.gl	$45760$	$2$	45760.a	1.a	$1$	$14$	$14$	$365.395$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(0\)	\(14\)	\(-4\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.gm	$45760$	$2$	45760.a	1.a	$1$	$14$	$14$	$365.395$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(0\)	\(14\)	\(4\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.gn	$45760$	$2$	45760.a	1.a	$1$	$14$	$14$	$365.395$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(1\)	\(14\)	\(-5\)		$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.go	$45760$	$2$	45760.a	1.a	$1$	$14$	$14$	$365.395$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(4\)	\(-14\)	\(4\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.gp	$45760$	$2$	45760.a	1.a	$1$	$14$	$14$	$365.395$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(5\)	\(-14\)	\(-11\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.gq	$45760$	$2$	45760.a	1.a	$1$	$15$	$15$	$365.395$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(-9\)	\(-15\)	\(7\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.gr	$45760$	$2$	45760.a	1.a	$1$	$15$	$15$	$365.395$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-3\)	\(15\)	\(-7\)		$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.gs	$45760$	$2$	45760.a	1.a	$1$	$15$	$15$	$365.395$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-2\)	\(-15\)	\(2\)		$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.gt	$45760$	$2$	45760.a	1.a	$1$	$15$	$15$	$365.395$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(2\)	\(-15\)	\(-2\)		$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.gu	$45760$	$2$	45760.a	1.a	$1$	$15$	$15$	$365.395$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(3\)	\(15\)	\(7\)		$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.gv	$45760$	$2$	45760.a	1.a	$1$	$15$	$15$	$365.395$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(9\)	\(-15\)	\(-7\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.gw	$45760$	$2$	45760.a	1.a	$1$	$16$	$16$	$365.395$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-5\)	\(-16\)	\(5\)		$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.gx	$45760$	$2$	45760.a	1.a	$1$	$16$	$16$	$365.395$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-4\)	\(16\)	\(-4\)		$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45760.2.a.gy	$45760$	$2$	45760.a	1.a	$1$	$16$	$16$	$365.395$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-3\)	\(-16\)	\(9\)		$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.gz	$45760$	$2$	45760.a	1.a	$1$	$16$	$16$	$365.395$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(3\)	\(-16\)	\(-9\)		$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.ha	$45760$	$2$	45760.a	1.a	$1$	$16$	$16$	$365.395$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(4\)	\(16\)	\(4\)		$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.hb	$45760$	$2$	45760.a	1.a	$1$	$16$	$16$	$365.395$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(5\)	\(-16\)	\(-5\)		$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45760.2.a.hc	$45760$	$2$	45760.a	1.a	$1$	$18$	$18$	$365.395$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(-6\)	\(-18\)	\(0\)		$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.hd	$45760$	$2$	45760.a	1.a	$1$	$18$	$18$	$365.395$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(6\)	\(-18\)	\(0\)		$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45760.2.a.he	$45760$	$2$	45760.a	1.a	$1$	$19$	$19$	$365.395$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(0\)	\(19\)	\(-2\)		$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45760.2.a.hf	$45760$	$2$	45760.a	1.a	$1$	$19$	$19$	$365.395$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	?	✓			$-1$		\(0\)	\(0\)	\(19\)	\(2\)		$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(45760))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(45760)) \simeq \) \(S_{2}^{\mathrm{new}}(\Gamma_0(11))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(20))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(26))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(32))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(40))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(44))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(52))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(55))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(64))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(65))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(80))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(88))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(104))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(110))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(130))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(143))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(160))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(176))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(208))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(220))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(260))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(286))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(320))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(352))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(416))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(440))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(520))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(572))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(704))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(715))\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(832))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(880))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1040))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1144))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1430))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1760))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2080))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2288))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2860))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3520))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4160))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4576))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(5720))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(9152))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(11440))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(22880))\)\(^{\oplus 2}\)