Space of modular forms of level 9450, weight 2, and trivial character

• Label: 9450.2.a
• Level: $9450$
• Weight: $2$
• Character orbit: 9450.a
• Rep. character: $\chi_{9450}(1,\cdot)$
• Character field: $\Q$
• Dimension: $152$
• Newform subspaces: $128$
• Sturm bound: $4320$
• Trace bound: $17$

Defining parameters

Level:	\( N \)	\(=\)	\( 9450 = 2 \cdot 3^{3} \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	9450.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 128 \)
Sturm bound:			\(4320\)
Trace bound:			\(17\)
Distinguishing \(T_p\):			\(11\), \(13\), \(17\), \(19\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(9450))\).

	Total	New	Old
Modular forms	2232	152	2080
Cusp forms	2089	152	1937
Eisenstein series	143	0	143

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

\(2\)	\(3\)	\(5\)	\(7\)	Fricke		Total				Cusp				Eisenstein
						All	New	Old		All	New	Old		All	New	Old
\(+\)	\(+\)	\(+\)	\(+\)	\(+\)		\(129\)	\(8\)	\(121\)		\(121\)	\(8\)	\(113\)		\(8\)	\(0\)	\(8\)
\(+\)	\(+\)	\(+\)	\(-\)	\(-\)		\(141\)	\(10\)	\(131\)		\(132\)	\(10\)	\(122\)		\(9\)	\(0\)	\(9\)
\(+\)	\(+\)	\(-\)	\(+\)	\(-\)		\(146\)	\(10\)	\(136\)		\(137\)	\(10\)	\(127\)		\(9\)	\(0\)	\(9\)
\(+\)	\(+\)	\(-\)	\(-\)	\(+\)		\(139\)	\(10\)	\(129\)		\(130\)	\(10\)	\(120\)		\(9\)	\(0\)	\(9\)
\(+\)	\(-\)	\(+\)	\(+\)	\(-\)		\(147\)	\(10\)	\(137\)		\(138\)	\(10\)	\(128\)		\(9\)	\(0\)	\(9\)
\(+\)	\(-\)	\(+\)	\(-\)	\(+\)		\(141\)	\(8\)	\(133\)		\(132\)	\(8\)	\(124\)		\(9\)	\(0\)	\(9\)
\(+\)	\(-\)	\(-\)	\(+\)	\(+\)		\(134\)	\(10\)	\(124\)		\(125\)	\(10\)	\(115\)		\(9\)	\(0\)	\(9\)
\(+\)	\(-\)	\(-\)	\(-\)	\(-\)		\(139\)	\(10\)	\(129\)		\(130\)	\(10\)	\(120\)		\(9\)	\(0\)	\(9\)
\(-\)	\(+\)	\(+\)	\(+\)	\(-\)		\(141\)	\(11\)	\(130\)		\(132\)	\(11\)	\(121\)		\(9\)	\(0\)	\(9\)
\(-\)	\(+\)	\(+\)	\(-\)	\(+\)		\(138\)	\(7\)	\(131\)		\(129\)	\(7\)	\(122\)		\(9\)	\(0\)	\(9\)
\(-\)	\(+\)	\(-\)	\(+\)	\(+\)		\(139\)	\(8\)	\(131\)		\(130\)	\(8\)	\(122\)		\(9\)	\(0\)	\(9\)
\(-\)	\(+\)	\(-\)	\(-\)	\(-\)		\(143\)	\(12\)	\(131\)		\(134\)	\(12\)	\(122\)		\(9\)	\(0\)	\(9\)
\(-\)	\(-\)	\(+\)	\(+\)	\(+\)		\(141\)	\(7\)	\(134\)		\(132\)	\(7\)	\(125\)		\(9\)	\(0\)	\(9\)
\(-\)	\(-\)	\(+\)	\(-\)	\(-\)		\(138\)	\(11\)	\(127\)		\(129\)	\(11\)	\(118\)		\(9\)	\(0\)	\(9\)
\(-\)	\(-\)	\(-\)	\(+\)	\(-\)		\(139\)	\(12\)	\(127\)		\(130\)	\(12\)	\(118\)		\(9\)	\(0\)	\(9\)
\(-\)	\(-\)	\(-\)	\(-\)	\(+\)		\(137\)	\(8\)	\(129\)		\(128\)	\(8\)	\(120\)		\(9\)	\(0\)	\(9\)
Plus space				\(+\)		\(1098\)	\(66\)	\(1032\)		\(1027\)	\(66\)	\(961\)		\(71\)	\(0\)	\(71\)
Minus space				\(-\)		\(1134\)	\(86\)	\(1048\)		\(1062\)	\(86\)	\(976\)		\(72\)	\(0\)	\(72\)

Trace form

152 * q + 152 * q^4 - 8 * q^13 + 152 * q^16 + 8 * q^19 + 4 * q^22 - 8 * q^34 - 20 * q^37 - 4 * q^43 + 8 * q^46 + 152 * q^49 - 8 * q^52 - 28 * q^58 - 16 * q^61 + 152 * q^64 + 12 * q^67 - 24 * q^73 + 8 * q^76 + 8 * q^79 - 32 * q^82 + 4 * q^88 - 4 * q^91 - 8 * q^94 + 48 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(9450))\) 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	5	7
9450.2.a.a	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.a	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-6q^{11}-2q^{13}+\cdots\)
9450.2.a.b	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.l	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-6q^{11}+q^{13}+\cdots\)
9450.2.a.c	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.c	$1$	$2$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{11}-5q^{13}+\cdots\)
9450.2.a.d	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.c	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{11}+q^{13}+\cdots\)
9450.2.a.e	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.k	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}-5q^{13}+\cdots\)
9450.2.a.f	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.f	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}-q^{13}+\cdots\)
9450.2.a.g	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.g	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}+q^{13}+\cdots\)
9450.2.a.h	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				378.2.a.b	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}+4q^{13}+\cdots\)
9450.2.a.i	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.e	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}+5q^{13}+\cdots\)
9450.2.a.j	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.d	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-2q^{11}+5q^{13}+\cdots\)
9450.2.a.k	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.k	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-q^{11}+3q^{13}+\cdots\)
9450.2.a.l	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				378.2.a.d	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{13}+q^{14}+\cdots\)
9450.2.a.m	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.m	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-5q^{13}+q^{14}+\cdots\)
9450.2.a.n	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.n	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots\)
9450.2.a.o	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.b	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+2q^{13}+q^{14}+\cdots\)
9450.2.a.p	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.p	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+7q^{13}+q^{14}+\cdots\)
9450.2.a.q	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.d	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{11}-5q^{13}+\cdots\)
9450.2.a.r	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.r	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{11}+5q^{13}+\cdots\)
9450.2.a.s	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.s	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+2q^{11}-5q^{13}+\cdots\)
9450.2.a.t	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.t	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+2q^{11}+6q^{13}+\cdots\)
9450.2.a.u	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.c	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+3q^{11}-5q^{13}+\cdots\)
9450.2.a.v	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.j	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+3q^{11}+q^{13}+\cdots\)
9450.2.a.w	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.a	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+4q^{11}-6q^{13}+\cdots\)
9450.2.a.x	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.x	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+4q^{11}-q^{13}+\cdots\)
9450.2.a.y	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.y	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+6q^{11}-5q^{13}+\cdots\)
9450.2.a.z	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.i	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+6q^{11}+4q^{13}+\cdots\)
9450.2.a.ba	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.y	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-6q^{11}+5q^{13}+\cdots\)
9450.2.a.bb	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.b	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-5q^{11}+5q^{13}+\cdots\)
9450.2.a.bc	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				378.2.a.a	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-4q^{11}-3q^{13}+\cdots\)
9450.2.a.bd	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.x	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-4q^{11}+q^{13}+\cdots\)
9450.2.a.be	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.a	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-4q^{11}+6q^{13}+\cdots\)
9450.2.a.bf	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.t	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}-6q^{13}+\cdots\)
9450.2.a.bg	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.h	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}-q^{14}+\cdots\)
9450.2.a.bh	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.g	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}+3q^{13}+\cdots\)
9450.2.a.bi	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.s	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}+5q^{13}+\cdots\)
9450.2.a.bj	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.r	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{11}-5q^{13}+\cdots\)
9450.2.a.bk	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.d	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{11}+5q^{13}+\cdots\)
9450.2.a.bl	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.p	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-7q^{13}-q^{14}+\cdots\)
9450.2.a.bm	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.b	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{13}-q^{14}+\cdots\)
9450.2.a.bn	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.n	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots\)
9450.2.a.bo	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.m	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{13}-q^{14}+\cdots\)
9450.2.a.bp	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.f	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}-3q^{13}+\cdots\)
9450.2.a.bq	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.k	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}-3q^{13}+\cdots\)
9450.2.a.br	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.e	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}+3q^{13}+\cdots\)
9450.2.a.bs	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.a	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+2q^{11}-4q^{13}+\cdots\)
9450.2.a.bt	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.e	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-5q^{13}+\cdots\)
9450.2.a.bu	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.g	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}-q^{13}+\cdots\)
9450.2.a.bv	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.f	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}+q^{13}+\cdots\)
9450.2.a.bw	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.c	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{11}-q^{13}+\cdots\)
9450.2.a.bx	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				378.2.a.c	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{11}-q^{14}+\cdots\)
9450.2.a.by	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.c	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{11}+5q^{13}+\cdots\)
9450.2.a.bz	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.a	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+6q^{11}+2q^{13}+\cdots\)
9450.2.a.ca	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.y	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-6q^{11}-5q^{13}+\cdots\)
9450.2.a.cb	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.i	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-6q^{11}+4q^{13}+\cdots\)
9450.2.a.cc	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.a	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{11}-6q^{13}+\cdots\)
9450.2.a.cd	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.x	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-4q^{11}-q^{13}+\cdots\)
9450.2.a.ce	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.c	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{11}-5q^{13}+\cdots\)
9450.2.a.cf	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.j	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{11}+q^{13}+\cdots\)
9450.2.a.cg	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.s	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{11}-5q^{13}+\cdots\)
9450.2.a.ch	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.t	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{11}+6q^{13}+\cdots\)
9450.2.a.ci	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.d	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-q^{11}-5q^{13}+\cdots\)
9450.2.a.cj	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.r	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-q^{11}+5q^{13}+\cdots\)
9450.2.a.ck	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.m	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-5q^{13}-q^{14}+\cdots\)
9450.2.a.cl	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				378.2.a.d	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-5q^{13}-q^{14}+\cdots\)
9450.2.a.cm	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.n	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\cdots\)
9450.2.a.cn	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.b	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{13}-q^{14}+\cdots\)
9450.2.a.co	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.p	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+7q^{13}-q^{14}+\cdots\)
9450.2.a.cp	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.k	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{11}+3q^{13}+\cdots\)
9450.2.a.cq	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.d	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}+5q^{13}+\cdots\)
9450.2.a.cr	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.k	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+3q^{11}-5q^{13}+\cdots\)
9450.2.a.cs	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.f	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+3q^{11}-q^{13}+\cdots\)
9450.2.a.ct	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.g	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+3q^{11}+q^{13}+\cdots\)
9450.2.a.cu	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				378.2.a.b	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+3q^{11}+4q^{13}+\cdots\)
9450.2.a.cv	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.e	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+3q^{11}+5q^{13}+\cdots\)
9450.2.a.cw	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.c	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+5q^{11}-5q^{13}+\cdots\)
9450.2.a.cx	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.c	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+5q^{11}+q^{13}+\cdots\)
9450.2.a.cy	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.a	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+6q^{11}-2q^{13}+\cdots\)
9450.2.a.cz	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.l	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+6q^{11}+q^{13}+\cdots\)
9450.2.a.da	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.a	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-6q^{11}+2q^{13}+\cdots\)
9450.2.a.db	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.c	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-5q^{11}-q^{13}+\cdots\)
9450.2.a.dc	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				378.2.a.c	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-5q^{11}+q^{14}+\cdots\)
9450.2.a.dd	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.c	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-5q^{11}+5q^{13}+\cdots\)
9450.2.a.de	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.e	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}-5q^{13}+\cdots\)
9450.2.a.df	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.g	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}-q^{13}+\cdots\)
9450.2.a.dg	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.f	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{11}+q^{13}+\cdots\)
9450.2.a.dh	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.a	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{11}-4q^{13}+\cdots\)
9450.2.a.di	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.k	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{11}-3q^{13}+\cdots\)
9450.2.a.dj	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.f	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{11}-3q^{13}+\cdots\)
9450.2.a.dk	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.e	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{11}+3q^{13}+\cdots\)
9450.2.a.dl	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.p	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-7q^{13}+q^{14}+\cdots\)
9450.2.a.dm	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.b	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-2q^{13}+q^{14}+\cdots\)
9450.2.a.dn	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.n	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{13}+q^{14}+\cdots\)
9450.2.a.do	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.m	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{13}+q^{14}+\cdots\)
9450.2.a.dp	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.r	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+q^{11}-5q^{13}+\cdots\)
9450.2.a.dq	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.d	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+q^{11}+5q^{13}+\cdots\)
9450.2.a.dr	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.t	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+2q^{11}-6q^{13}+\cdots\)
9450.2.a.ds	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.h	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+2q^{11}+q^{14}+\cdots\)
9450.2.a.dt	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.g	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+2q^{11}+3q^{13}+\cdots\)
9450.2.a.du	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.s	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+2q^{11}+5q^{13}+\cdots\)
9450.2.a.dv	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				378.2.a.a	$1$	$1$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{11}-3q^{13}+\cdots\)
9450.2.a.dw	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.x	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{11}+q^{13}+\cdots\)
9450.2.a.dx	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.g.a	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+4q^{11}+6q^{13}+\cdots\)
9450.2.a.dy	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓				1890.2.a.b	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{11}+5q^{13}+\cdots\)
9450.2.a.dz	$9450$	$2$	9450.a	1.a	$1$	$1$	$1$	$75.459$	\(\Q\)	None	✓	✓			9450.2.a.y	$1$	$0$	\(1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+6q^{11}+5q^{13}+\cdots\)
9450.2.a.ea	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{6}) \)	None	✓				1890.2.g.m	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+\beta q^{11}+(-1+\cdots)q^{13}+\cdots\)
9450.2.a.eb	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{3}) \)	None	✓				1890.2.g.n	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+\beta q^{11}+(2+\cdots)q^{13}+\cdots\)
9450.2.a.ec	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{7}) \)	None	✓	✓			9450.2.a.ec	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+2\beta q^{11}+(2+\cdots)q^{13}+\cdots\)
9450.2.a.ed	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{73}) \)	None	✓		✓		1890.2.a.z	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
9450.2.a.ee	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{10}) \)	None	✓	✓			9450.2.a.ee	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+2q^{11}+(-1+\cdots)q^{13}+\cdots\)
9450.2.a.ef	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{10}) \)	None	✓				1890.2.g.o	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}+(2+\beta )q^{11}+\cdots\)
9450.2.a.eg	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{10}) \)	None	✓				1890.2.g.o	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+(-2+\beta )q^{11}+\cdots\)
9450.2.a.eh	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{10}) \)	None	✓	✓	✓		9450.2.a.ee	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}-2q^{11}+(1+\cdots)q^{13}+\cdots\)
9450.2.a.ei	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{3}) \)	None	✓				1890.2.g.n	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
9450.2.a.ej	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{7}) \)	None	✓	✓			9450.2.a.ec	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+2\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
9450.2.a.ek	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{6}) \)	None	✓		✓		1890.2.g.m	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+\beta q^{11}+(1+\cdots)q^{13}+\cdots\)
9450.2.a.el	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{97}) \)	None	✓				1890.2.a.y	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{7}-q^{8}+(1+\beta )q^{11}+\cdots\)
9450.2.a.em	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{10}) \)	None	✓	✓			9450.2.a.ee	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{11}+(-1+\cdots)q^{13}+\cdots\)
9450.2.a.en	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{10}) \)	None	✓				1890.2.g.o	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+(-2+\beta )q^{11}+\cdots\)
9450.2.a.eo	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{73}) \)	None	✓		✓		1890.2.a.z	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
9450.2.a.ep	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{6}) \)	None	✓				1890.2.g.m	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+\beta q^{11}+(-1+\cdots)q^{13}+\cdots\)
9450.2.a.eq	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{7}) \)	None	✓	✓			9450.2.a.ec	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+2\beta q^{11}+(2+\cdots)q^{13}+\cdots\)
9450.2.a.er	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{3}) \)	None	✓				1890.2.g.n	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{7}+q^{8}+\beta q^{11}+(2+\cdots)q^{13}+\cdots\)
9450.2.a.es	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{97}) \)	None	✓				1890.2.a.y	$1$	$0$	\(2\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+(-1-\beta )q^{11}+\cdots\)
9450.2.a.et	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{7}) \)	None	✓	✓	✓		9450.2.a.ec	$1$	$1$	\(2\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+2\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
9450.2.a.eu	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{3}) \)	None	✓				1890.2.g.n	$1$	$0$	\(2\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
9450.2.a.ev	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{6}) \)	None	✓				1890.2.g.m	$1$	$0$	\(2\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+\beta q^{11}+(1+\cdots)q^{13}+\cdots\)
9450.2.a.ew	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{10}) \)	None	✓		✓		1890.2.g.o	$1$	$1$	\(2\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+(2+\beta )q^{11}+\cdots\)
9450.2.a.ex	$9450$	$2$	9450.a	1.a	$1$	$2$	$2$	$75.459$	\(\Q(\sqrt{10}) \)	None	✓	✓			9450.2.a.ee	$1$	$0$	\(2\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{7}+q^{8}+2q^{11}+(1+\cdots)q^{13}+\cdots\)

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(9450))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(9450)) \simeq \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(27))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(30))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(35))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(45))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(50))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(54))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(63))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(70))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(75))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(90))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(105))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(126))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(135))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(150))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(175))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(189))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(210))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(225))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(270))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(315))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(350))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(378))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(450))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(525))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(630))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(675))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(945))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1050))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1350))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1575))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1890))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3150))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4725))\)\(^{\oplus 2}\)