Properties

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 $17$

Related objects

Downloads

Learn more

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.

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

Trace form

\( 152 q + 152 q^{4} - 8 q^{13} + 152 q^{16} + 8 q^{19} + 4 q^{22} - 8 q^{34} - 20 q^{37} - 4 q^{43} + 8 q^{46} + 152 q^{49} - 8 q^{52} - 28 q^{58} - 16 q^{61} + 152 q^{64} + 12 q^{67} - 24 q^{73} + 8 q^{76}+ \cdots + 48 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(9450))\) into newform subspaces

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

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

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