Properties

Label 35280.2.a
Level $35280$
Weight $2$
Character orbit 35280.a
Rep. character $\chi_{35280}(1,\cdot)$
Character field $\Q$
Dimension $410$
Newform subspaces $251$
Sturm bound $16128$

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Defining parameters

Level: \( N \) \(=\) \( 35280 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 35280.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 251 \)
Sturm bound: \(16128\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(35280))\).

Total New Old
Modular forms 8256 410 7846
Cusp forms 7873 410 7463
Eisenstein series 383 0 383

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
\(+\)\(+\)\(+\)\(+\)\(+\)\(504\)\(20\)\(484\)\(481\)\(20\)\(461\)\(23\)\(0\)\(23\)
\(+\)\(+\)\(+\)\(-\)\(-\)\(524\)\(21\)\(503\)\(500\)\(21\)\(479\)\(24\)\(0\)\(24\)
\(+\)\(+\)\(-\)\(+\)\(-\)\(520\)\(20\)\(500\)\(496\)\(20\)\(476\)\(24\)\(0\)\(24\)
\(+\)\(+\)\(-\)\(-\)\(+\)\(516\)\(21\)\(495\)\(492\)\(21\)\(471\)\(24\)\(0\)\(24\)
\(+\)\(-\)\(+\)\(+\)\(-\)\(520\)\(31\)\(489\)\(496\)\(31\)\(465\)\(24\)\(0\)\(24\)
\(+\)\(-\)\(+\)\(-\)\(+\)\(512\)\(30\)\(482\)\(488\)\(30\)\(458\)\(24\)\(0\)\(24\)
\(+\)\(-\)\(-\)\(+\)\(+\)\(520\)\(29\)\(491\)\(496\)\(29\)\(467\)\(24\)\(0\)\(24\)
\(+\)\(-\)\(-\)\(-\)\(-\)\(512\)\(33\)\(479\)\(488\)\(33\)\(455\)\(24\)\(0\)\(24\)
\(-\)\(+\)\(+\)\(+\)\(-\)\(528\)\(20\)\(508\)\(504\)\(20\)\(484\)\(24\)\(0\)\(24\)
\(-\)\(+\)\(+\)\(-\)\(+\)\(508\)\(21\)\(487\)\(484\)\(21\)\(463\)\(24\)\(0\)\(24\)
\(-\)\(+\)\(-\)\(+\)\(+\)\(512\)\(20\)\(492\)\(488\)\(20\)\(468\)\(24\)\(0\)\(24\)
\(-\)\(+\)\(-\)\(-\)\(-\)\(516\)\(21\)\(495\)\(492\)\(21\)\(471\)\(24\)\(0\)\(24\)
\(-\)\(-\)\(+\)\(+\)\(+\)\(512\)\(29\)\(483\)\(488\)\(29\)\(459\)\(24\)\(0\)\(24\)
\(-\)\(-\)\(+\)\(-\)\(-\)\(520\)\(33\)\(487\)\(496\)\(33\)\(463\)\(24\)\(0\)\(24\)
\(-\)\(-\)\(-\)\(+\)\(-\)\(512\)\(31\)\(481\)\(488\)\(31\)\(457\)\(24\)\(0\)\(24\)
\(-\)\(-\)\(-\)\(-\)\(+\)\(520\)\(30\)\(490\)\(496\)\(30\)\(466\)\(24\)\(0\)\(24\)
Plus space\(+\)\(4104\)\(200\)\(3904\)\(3913\)\(200\)\(3713\)\(191\)\(0\)\(191\)
Minus space\(-\)\(4152\)\(210\)\(3942\)\(3960\)\(210\)\(3750\)\(192\)\(0\)\(192\)

Trace form

\( 410 q + 4 q^{11} + 4 q^{17} + 8 q^{19} + 10 q^{23} + 410 q^{25} - 12 q^{29} - 4 q^{31} - 8 q^{37} + 2 q^{43} + 2 q^{47} + 4 q^{55} + 32 q^{59} + 4 q^{65} + 14 q^{67} + 36 q^{71} - 4 q^{73} + 24 q^{79} + 10 q^{83}+ \cdots - 12 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(35280))\) 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
35280.2.a.a 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-6q^{11}-3q^{13}+4q^{17}-q^{19}+\cdots\)
35280.2.a.b 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-6q^{11}-2q^{13}+2q^{17}-6q^{19}+\cdots\)
35280.2.a.c 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-6q^{11}+6q^{17}+4q^{19}+6q^{23}+\cdots\)
35280.2.a.d 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-6q^{11}+2q^{13}+4q^{17}+8q^{19}+\cdots\)
35280.2.a.e 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-6q^{11}+4q^{13}+2q^{19}-3q^{23}+\cdots\)
35280.2.a.f 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-6q^{11}+4q^{13}+6q^{17}-4q^{19}+\cdots\)
35280.2.a.g 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-5q^{11}-7q^{13}-3q^{17}-2q^{19}+\cdots\)
35280.2.a.h 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-5q^{11}-5q^{13}+4q^{17}+7q^{19}+\cdots\)
35280.2.a.i 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-5q^{11}-q^{13}+3q^{17}-6q^{19}+\cdots\)
35280.2.a.j 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-5q^{11}+3q^{13}-q^{17}+6q^{19}+\cdots\)
35280.2.a.k 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}-7q^{13}-6q^{17}+3q^{19}+\cdots\)
35280.2.a.l 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}-6q^{13}+4q^{17}-2q^{19}+\cdots\)
35280.2.a.m 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}-4q^{13}-2q^{17}-4q^{23}+\cdots\)
35280.2.a.n 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}-2q^{13}-2q^{17}-4q^{23}+\cdots\)
35280.2.a.o 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}+2q^{13}-8q^{17}+6q^{19}+\cdots\)
35280.2.a.p 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}+2q^{13}-6q^{17}-8q^{23}+\cdots\)
35280.2.a.q 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-4q^{11}+6q^{13}-2q^{17}-8q^{19}+\cdots\)
35280.2.a.r 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{11}-5q^{13}+3q^{17}+2q^{19}+\cdots\)
35280.2.a.s 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-4q^{13}+6q^{19}+3q^{23}+\cdots\)
35280.2.a.t 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-2q^{13}-2q^{17}+6q^{19}+\cdots\)
35280.2.a.u 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-q^{13}+3q^{19}+q^{25}+\cdots\)
35280.2.a.v 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}-4q^{17}-6q^{19}+3q^{23}+\cdots\)
35280.2.a.w 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+q^{13}+4q^{17}+q^{19}+\cdots\)
35280.2.a.x 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
35280.2.a.y 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots\)
35280.2.a.z 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+2q^{13}+6q^{17}+6q^{23}+\cdots\)
35280.2.a.ba 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+6q^{13}-4q^{19}+q^{25}+\cdots\)
35280.2.a.bb 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+6q^{13}+2q^{17}-9q^{23}+\cdots\)
35280.2.a.bc 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{11}+6q^{13}+6q^{17}+6q^{19}+\cdots\)
35280.2.a.bd 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}-5q^{13}+4q^{17}-5q^{19}+\cdots\)
35280.2.a.be 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}-q^{13}-3q^{19}+7q^{23}+\cdots\)
35280.2.a.bf 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}+3q^{13}-2q^{17}-5q^{19}+\cdots\)
35280.2.a.bg 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}+5q^{13}+q^{17}-6q^{19}+\cdots\)
35280.2.a.bh 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{11}+7q^{13}+4q^{17}-q^{19}+\cdots\)
35280.2.a.bi 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-6q^{13}-2q^{17}+4q^{19}+4q^{23}+\cdots\)
35280.2.a.bj 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{13}-6q^{17}-4q^{19}+q^{25}+\cdots\)
35280.2.a.bk 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{13}-6q^{17}-4q^{19}+6q^{23}+\cdots\)
35280.2.a.bl 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{13}+2q^{19}+q^{25}-6q^{29}+\cdots\)
35280.2.a.bm 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{13}+2q^{17}-6q^{19}-6q^{23}+\cdots\)
35280.2.a.bn 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{13}+2q^{17}-2q^{19}-2q^{23}+\cdots\)
35280.2.a.bo 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{13}+2q^{17}+4q^{19}+q^{25}+\cdots\)
35280.2.a.bp 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{13}+6q^{17}-4q^{19}+q^{25}+\cdots\)
35280.2.a.bq 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{13}-2q^{17}-3q^{19}+6q^{23}+\cdots\)
35280.2.a.br 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{13}+6q^{17}+5q^{19}+6q^{23}+\cdots\)
35280.2.a.bs 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{13}+6q^{17}-4q^{19}+4q^{23}+\cdots\)
35280.2.a.bt 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{13}-6q^{17}+2q^{19}-6q^{23}+\cdots\)
35280.2.a.bu 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+6q^{13}-2q^{17}+4q^{19}-8q^{23}+\cdots\)
35280.2.a.bv 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+q^{11}-3q^{13}-3q^{17}+6q^{19}+\cdots\)
35280.2.a.bw 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}-6q^{13}+6q^{17}-6q^{19}+\cdots\)
35280.2.a.bx 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}-5q^{13}+4q^{17}+3q^{19}+\cdots\)
35280.2.a.by 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}-4q^{13}-2q^{17}+2q^{23}+\cdots\)
35280.2.a.bz 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}-4q^{13}-2q^{17}+4q^{19}+\cdots\)
35280.2.a.ca 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}-4q^{13}+6q^{17}+6q^{19}+\cdots\)
35280.2.a.cb 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots\)
35280.2.a.cc 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
35280.2.a.cd 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}+4q^{17}-2q^{19}+q^{23}+\cdots\)
35280.2.a.ce 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}+2q^{13}-2q^{17}-8q^{19}+\cdots\)
35280.2.a.cf 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}+2q^{13}-2q^{17}-6q^{19}+\cdots\)
35280.2.a.cg 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}+2q^{13}+4q^{17}+8q^{23}+\cdots\)
35280.2.a.ch 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{11}+6q^{13}-2q^{17}+4q^{19}+\cdots\)
35280.2.a.ci 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{11}-5q^{13}+5q^{19}-9q^{23}+\cdots\)
35280.2.a.cj 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{11}-5q^{13}+6q^{17}-q^{19}+\cdots\)
35280.2.a.ck 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{11}-q^{13}-7q^{19}-5q^{23}+\cdots\)
35280.2.a.cl 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{11}-q^{13}+6q^{17}+q^{19}+\cdots\)
35280.2.a.cm 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+3q^{11}+q^{13}+5q^{17}+6q^{19}+\cdots\)
35280.2.a.cn 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}-6q^{13}-6q^{17}+2q^{19}+\cdots\)
35280.2.a.co 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}-6q^{13}-4q^{17}+6q^{19}+\cdots\)
35280.2.a.cp 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}-5q^{13}-6q^{17}+5q^{19}+\cdots\)
35280.2.a.cq 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+2q^{17}-6q^{19}+6q^{23}+\cdots\)
35280.2.a.cr 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
35280.2.a.cs 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+2q^{13}-6q^{17}+q^{25}+\cdots\)
35280.2.a.ct 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+2q^{13}-2q^{19}-4q^{23}+\cdots\)
35280.2.a.cu 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+4q^{13}-2q^{17}+4q^{23}+\cdots\)
35280.2.a.cv 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{11}+6q^{13}+2q^{17}+q^{25}+\cdots\)
35280.2.a.cw 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+6q^{11}-2q^{13}-6q^{17}+8q^{19}+\cdots\)
35280.2.a.cx 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+6q^{11}+2q^{13}+2q^{17}+6q^{19}+\cdots\)
35280.2.a.cy 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+6q^{11}+4q^{13}+6q^{17}+2q^{19}+\cdots\)
35280.2.a.cz 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}+6q^{11}+6q^{13}+4q^{19}+q^{25}+\cdots\)
35280.2.a.da 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-6q^{11}-4q^{13}-2q^{19}-3q^{23}+\cdots\)
35280.2.a.db 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-6q^{11}-2q^{13}-4q^{17}-8q^{19}+\cdots\)
35280.2.a.dc 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-6q^{11}-6q^{17}-4q^{19}+6q^{23}+\cdots\)
35280.2.a.dd 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-6q^{11}+2q^{13}-2q^{17}+6q^{19}+\cdots\)
35280.2.a.de 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-6q^{11}+3q^{13}-4q^{17}+q^{19}+\cdots\)
35280.2.a.df 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-5q^{11}+5q^{13}-7q^{17}-2q^{19}+\cdots\)
35280.2.a.dg 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-5q^{11}+5q^{13}-4q^{17}-7q^{19}+\cdots\)
35280.2.a.dh 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-5q^{11}+7q^{13}+3q^{17}+2q^{19}+\cdots\)
35280.2.a.di 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}-6q^{13}-6q^{17}-4q^{19}+\cdots\)
35280.2.a.dj 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}-6q^{13}+4q^{17}+6q^{19}+\cdots\)
35280.2.a.dk 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}-2q^{13}+8q^{17}-6q^{19}+\cdots\)
35280.2.a.dl 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}-2q^{17}-6q^{19}-6q^{23}+\cdots\)
35280.2.a.dm 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots\)
35280.2.a.dn 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+2q^{13}+2q^{17}+4q^{19}+\cdots\)
35280.2.a.do 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+2q^{13}+2q^{17}+4q^{19}+\cdots\)
35280.2.a.dp 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+4q^{13}+2q^{17}-4q^{23}+\cdots\)
35280.2.a.dq 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-4q^{11}+7q^{13}+6q^{17}-3q^{19}+\cdots\)
35280.2.a.dr 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-6q^{13}-6q^{17}-6q^{19}+\cdots\)
35280.2.a.ds 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-6q^{13}-2q^{17}-9q^{23}+\cdots\)
35280.2.a.dt 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-6q^{13}+4q^{19}+q^{25}+\cdots\)
35280.2.a.du 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-4q^{13}+2q^{17}+2q^{19}+\cdots\)
35280.2.a.dv 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-4q^{13}+2q^{17}+4q^{19}+\cdots\)
35280.2.a.dw 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-2q^{13}-6q^{17}+2q^{19}+\cdots\)
35280.2.a.dx 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
35280.2.a.dy 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}-q^{13}-4q^{17}-q^{19}+\cdots\)
35280.2.a.dz 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}+4q^{17}+6q^{19}+3q^{23}+\cdots\)
35280.2.a.ea 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}+q^{13}-3q^{19}+q^{25}+\cdots\)
35280.2.a.eb 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}+2q^{13}+2q^{17}-8q^{19}+\cdots\)
35280.2.a.ec 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}+2q^{13}+2q^{17}-6q^{19}+\cdots\)
35280.2.a.ed 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}+4q^{13}-6q^{19}+3q^{23}+\cdots\)
35280.2.a.ee 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{11}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
35280.2.a.ef 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{11}-7q^{13}-4q^{17}+q^{19}+\cdots\)
35280.2.a.eg 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{11}-5q^{13}-q^{17}+6q^{19}+\cdots\)
35280.2.a.eh 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{11}-3q^{13}+2q^{17}+5q^{19}+\cdots\)
35280.2.a.ei 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{11}+q^{13}+3q^{19}+7q^{23}+\cdots\)
35280.2.a.ej 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{11}+5q^{13}-4q^{17}+5q^{19}+\cdots\)
35280.2.a.ek 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{13}-6q^{17}+8q^{19}+q^{25}+\cdots\)
35280.2.a.el 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{13}+2q^{19}+q^{25}+6q^{29}+\cdots\)
35280.2.a.em 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-2q^{13}+2q^{17}+q^{25}-6q^{29}+\cdots\)
35280.2.a.en 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{13}-6q^{17}-5q^{19}+6q^{23}+\cdots\)
35280.2.a.eo 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{13}+2q^{17}+3q^{19}+6q^{23}+\cdots\)
35280.2.a.ep 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{13}-2q^{17}+2q^{19}-2q^{23}+\cdots\)
35280.2.a.eq 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{13}-2q^{17}+6q^{19}-6q^{23}+\cdots\)
35280.2.a.er 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{13}+6q^{17}+2q^{19}+6q^{23}+\cdots\)
35280.2.a.es 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+6q^{13}+2q^{17}-8q^{19}+8q^{23}+\cdots\)
35280.2.a.et 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{11}+3q^{13}+3q^{17}-6q^{19}+\cdots\)
35280.2.a.eu 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}-4q^{13}+2q^{17}-2q^{19}+\cdots\)
35280.2.a.ev 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}-2q^{13}-4q^{17}+8q^{23}+\cdots\)
35280.2.a.ew 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}-2q^{13}+2q^{17}+6q^{19}+\cdots\)
35280.2.a.ex 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}-4q^{17}+2q^{19}+q^{23}+\cdots\)
35280.2.a.ey 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
35280.2.a.ez 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}+2q^{13}-6q^{17}-6q^{23}+\cdots\)
35280.2.a.fa 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots\)
35280.2.a.fb 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}+4q^{13}+2q^{17}+2q^{23}+\cdots\)
35280.2.a.fc 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}+5q^{13}-4q^{17}-3q^{19}+\cdots\)
35280.2.a.fd 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+2q^{11}+6q^{13}-6q^{17}+6q^{19}+\cdots\)
35280.2.a.fe 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{11}-q^{13}-5q^{17}-6q^{19}+\cdots\)
35280.2.a.ff 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{11}+q^{13}-6q^{17}-q^{19}+\cdots\)
35280.2.a.fg 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{11}+q^{13}-3q^{17}+2q^{19}+\cdots\)
35280.2.a.fh 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{11}+q^{13}+7q^{19}-5q^{23}+\cdots\)
35280.2.a.fi 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{11}+5q^{13}-6q^{17}+q^{19}+\cdots\)
35280.2.a.fj 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{11}+5q^{13}-5q^{19}-9q^{23}+\cdots\)
35280.2.a.fk 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}-6q^{13}-4q^{17}-2q^{19}+\cdots\)
35280.2.a.fl 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}-4q^{13}+2q^{17}+4q^{23}+\cdots\)
35280.2.a.fm 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}-2q^{13}+2q^{19}-4q^{23}+\cdots\)
35280.2.a.fn 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
35280.2.a.fo 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
35280.2.a.fp 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots\)
35280.2.a.fq 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}+2q^{13}+2q^{17}+4q^{19}+\cdots\)
35280.2.a.fr 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}+2q^{13}+2q^{17}+4q^{19}+\cdots\)
35280.2.a.fs 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}+5q^{13}+6q^{17}-5q^{19}+\cdots\)
35280.2.a.ft 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+4q^{11}+6q^{13}+6q^{17}-2q^{19}+\cdots\)
35280.2.a.fu 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+6q^{11}-6q^{13}-4q^{19}+q^{25}+\cdots\)
35280.2.a.fv 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+6q^{11}-2q^{13}-2q^{17}-6q^{19}+\cdots\)
35280.2.a.fw 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+6q^{11}+2q^{13}+6q^{17}-8q^{19}+\cdots\)
35280.2.a.fx 35280.a 1.a $1$ $281.712$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}+6q^{11}+4q^{13}-6q^{17}-4q^{19}+\cdots\)
35280.2.a.fy 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.fz 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.ga 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gb 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gc 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gd 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.ge 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gf 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.gg 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gh 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gi 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.gj 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gk 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gl 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.gm 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gn 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.go 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gp 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gq 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.gr 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gs 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gt 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.gu 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gv 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gw 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.gx 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.gy 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.gz 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.ha 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.hb 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hc 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hd 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.he 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hf 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hg 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hh 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.hi 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hj 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.hk 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hl 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hm 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.hn 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.ho 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.hp 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hq 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.hr 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.hs 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.ht 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.hu 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hv 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.hw 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hx 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hy 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.hz 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.ia 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.ib 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.ic 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.id 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.ie 35280.a 1.a $2$ $281.712$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.if 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(-3\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.ig 35280.a 1.a $3$ $281.712$ 3.3.3132.1 None \(0\) \(0\) \(-3\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.ih 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(-3\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.ii 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(-3\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.ij 35280.a 1.a $3$ $281.712$ 3.3.3576.1 None \(0\) \(0\) \(-3\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.ik 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(-3\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.il 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(-3\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.im 35280.a 1.a $3$ $281.712$ 3.3.1944.1 None \(0\) \(0\) \(-3\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.in 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(-3\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.io 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(3\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.ip 35280.a 1.a $3$ $281.712$ 3.3.3132.1 None \(0\) \(0\) \(3\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.iq 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(3\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.ir 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(3\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.is 35280.a 1.a $3$ $281.712$ 3.3.3576.1 None \(0\) \(0\) \(3\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.it 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(3\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.iu 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(3\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.iv 35280.a 1.a $3$ $281.712$ 3.3.1944.1 None \(0\) \(0\) \(3\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.iw 35280.a 1.a $3$ $281.712$ 3.3.404.1 None \(0\) \(0\) \(3\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
35280.2.a.ix 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{11 +2 \sqrt{2}})\) None \(0\) \(0\) \(-4\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.iy 35280.a 1.a $4$ $281.712$ \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(-4\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.iz 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(-4\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.ja 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{17 +4 \sqrt{2}})\) None \(0\) \(0\) \(-4\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.jb 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{17 +8 \sqrt{2}})\) None \(0\) \(0\) \(-4\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.jc 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{19 +2 \sqrt{2}})\) None \(0\) \(0\) \(-4\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.jd 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{10 +4 \sqrt{2}})\) None \(0\) \(0\) \(-4\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.je 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{11 +2 \sqrt{2}})\) None \(0\) \(0\) \(-4\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.jf 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{11 +2 \sqrt{2}})\) None \(0\) \(0\) \(4\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.jg 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(4\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.jh 35280.a 1.a $4$ $281.712$ \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(4\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.ji 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{17 +4 \sqrt{2}})\) None \(0\) \(0\) \(4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.jj 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{19 +2 \sqrt{2}})\) None \(0\) \(0\) \(4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.jk 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{17 +8 \sqrt{2}})\) None \(0\) \(0\) \(4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.jl 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{11 +2 \sqrt{2}})\) None \(0\) \(0\) \(4\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.jm 35280.a 1.a $4$ $281.712$ \(\Q(\sqrt{10 +4 \sqrt{2}})\) None \(0\) \(0\) \(4\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.jn 35280.a 1.a $5$ $281.712$ 5.5.85384368.1 None \(0\) \(0\) \(-5\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
35280.2.a.jo 35280.a 1.a $5$ $281.712$ 5.5.85384368.1 None \(0\) \(0\) \(-5\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
35280.2.a.jp 35280.a 1.a $5$ $281.712$ 5.5.85384368.1 None \(0\) \(0\) \(5\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
35280.2.a.jq 35280.a 1.a $5$ $281.712$ 5.5.85384368.1 None \(0\) \(0\) \(5\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(35280))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(35280)) \simeq \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 48}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(20))\)\(^{\oplus 27}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 40}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(24))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(30))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(35))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(36))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(40))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 32}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(45))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(48))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(49))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(56))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(63))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(70))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(72))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(80))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(84))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(90))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(98))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(105))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(112))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(120))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(126))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(140))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(144))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(147))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(168))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(180))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(196))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(210))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(240))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(245))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(252))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(280))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(294))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(315))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(336))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(360))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(392))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(420))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(441))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(490))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(504))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(560))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(588))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(630))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(720))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(735))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(784))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(840))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(882))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(980))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1008))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1176))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1260))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1470))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1680))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1764))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1960))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2205))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2352))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2520))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2940))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3528))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3920))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4410))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(5040))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(5880))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(7056))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(8820))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(11760))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(17640))\)\(^{\oplus 2}\)