Properties

Label 33600.2.a
Level $33600$
Weight $2$
Character orbit 33600.a
Rep. character $\chi_{33600}(1,\cdot)$
Character field $\Q$
Dimension $456$
Newform subspaces $294$
Sturm bound $15360$

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Defining parameters

Level: \( N \) \(=\) \( 33600 = 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 33600.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 294 \)
Sturm bound: \(15360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(33600))\).

Total New Old
Modular forms 7824 456 7368
Cusp forms 7537 456 7081
Eisenstein series 287 0 287

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
\(+\)\(+\)\(+\)\(+\)\(+\)\(480\)\(27\)\(453\)\(463\)\(27\)\(436\)\(17\)\(0\)\(17\)
\(+\)\(+\)\(+\)\(-\)\(-\)\(492\)\(26\)\(466\)\(474\)\(26\)\(448\)\(18\)\(0\)\(18\)
\(+\)\(+\)\(-\)\(+\)\(-\)\(494\)\(32\)\(462\)\(476\)\(32\)\(444\)\(18\)\(0\)\(18\)
\(+\)\(+\)\(-\)\(-\)\(+\)\(490\)\(30\)\(460\)\(472\)\(30\)\(442\)\(18\)\(0\)\(18\)
\(+\)\(-\)\(+\)\(+\)\(-\)\(498\)\(29\)\(469\)\(480\)\(29\)\(451\)\(18\)\(0\)\(18\)
\(+\)\(-\)\(+\)\(-\)\(+\)\(486\)\(24\)\(462\)\(468\)\(24\)\(444\)\(18\)\(0\)\(18\)
\(+\)\(-\)\(-\)\(+\)\(+\)\(484\)\(28\)\(456\)\(466\)\(28\)\(438\)\(18\)\(0\)\(18\)
\(+\)\(-\)\(-\)\(-\)\(-\)\(488\)\(34\)\(454\)\(470\)\(34\)\(436\)\(18\)\(0\)\(18\)
\(-\)\(+\)\(+\)\(+\)\(-\)\(498\)\(27\)\(471\)\(480\)\(27\)\(453\)\(18\)\(0\)\(18\)
\(-\)\(+\)\(+\)\(-\)\(+\)\(486\)\(28\)\(458\)\(468\)\(28\)\(440\)\(18\)\(0\)\(18\)
\(-\)\(+\)\(-\)\(+\)\(+\)\(484\)\(28\)\(456\)\(466\)\(28\)\(438\)\(18\)\(0\)\(18\)
\(-\)\(+\)\(-\)\(-\)\(-\)\(488\)\(30\)\(458\)\(470\)\(30\)\(440\)\(18\)\(0\)\(18\)
\(-\)\(-\)\(+\)\(+\)\(+\)\(480\)\(25\)\(455\)\(462\)\(25\)\(437\)\(18\)\(0\)\(18\)
\(-\)\(-\)\(+\)\(-\)\(-\)\(492\)\(30\)\(462\)\(474\)\(30\)\(444\)\(18\)\(0\)\(18\)
\(-\)\(-\)\(-\)\(+\)\(-\)\(494\)\(32\)\(462\)\(476\)\(32\)\(444\)\(18\)\(0\)\(18\)
\(-\)\(-\)\(-\)\(-\)\(+\)\(490\)\(26\)\(464\)\(472\)\(26\)\(446\)\(18\)\(0\)\(18\)
Plus space\(+\)\(3880\)\(216\)\(3664\)\(3737\)\(216\)\(3521\)\(143\)\(0\)\(143\)
Minus space\(-\)\(3944\)\(240\)\(3704\)\(3800\)\(240\)\(3560\)\(144\)\(0\)\(144\)

Trace form

\( 456 q + 456 q^{9} - 16 q^{17} + 16 q^{29} + 16 q^{37} - 16 q^{41} + 456 q^{49} + 16 q^{53} - 32 q^{61} - 32 q^{69} + 16 q^{73} + 16 q^{77} + 456 q^{81} + 16 q^{89} - 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(33600))\) 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
33600.2.a.a 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
33600.2.a.b 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots\)
33600.2.a.c 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-6q^{11}+6q^{13}+\cdots\)
33600.2.a.d 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-5q^{11}+2q^{13}+\cdots\)
33600.2.a.e 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-5q^{11}+4q^{13}+\cdots\)
33600.2.a.f 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
33600.2.a.g 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
33600.2.a.h 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.i 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.j 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.k 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.l 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.m 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
33600.2.a.n 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
33600.2.a.o 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
33600.2.a.p 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-3q^{11}-2q^{17}+\cdots\)
33600.2.a.q 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots\)
33600.2.a.r 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}-7q^{13}+\cdots\)
33600.2.a.s 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots\)
33600.2.a.t 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots\)
33600.2.a.u 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
33600.2.a.v 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
33600.2.a.w 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
33600.2.a.x 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}-q^{13}-q^{17}+\cdots\)
33600.2.a.y 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
33600.2.a.z 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
33600.2.a.ba 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{11}+5q^{13}+\cdots\)
33600.2.a.bb 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-q^{11}-2q^{13}-8q^{17}+\cdots\)
33600.2.a.bc 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-q^{11}+4q^{13}-2q^{17}+\cdots\)
33600.2.a.bd 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{13}-6q^{17}+\cdots\)
33600.2.a.be 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{13}-6q^{17}+\cdots\)
33600.2.a.bf 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{13}+2q^{17}+\cdots\)
33600.2.a.bg 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
33600.2.a.bh 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+6q^{13}+2q^{17}+\cdots\)
33600.2.a.bi 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+6q^{13}+2q^{17}+\cdots\)
33600.2.a.bj 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+q^{11}-4q^{13}+2q^{17}+\cdots\)
33600.2.a.bk 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+q^{11}+2q^{13}+8q^{17}+\cdots\)
33600.2.a.bl 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}-5q^{13}+\cdots\)
33600.2.a.bm 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
33600.2.a.bn 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots\)
33600.2.a.bo 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
33600.2.a.bp 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+q^{13}+q^{17}+\cdots\)
33600.2.a.bq 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
33600.2.a.br 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
33600.2.a.bs 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
33600.2.a.bt 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots\)
33600.2.a.bu 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots\)
33600.2.a.bv 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots\)
33600.2.a.bw 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots\)
33600.2.a.bx 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{11}+7q^{13}+\cdots\)
33600.2.a.by 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+3q^{11}-2q^{13}+\cdots\)
33600.2.a.bz 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+3q^{11}+2q^{17}+\cdots\)
33600.2.a.ca 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
33600.2.a.cb 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
33600.2.a.cc 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.cd 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.ce 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.cf 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
33600.2.a.cg 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
33600.2.a.ch 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
33600.2.a.ci 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+5q^{11}-4q^{13}+\cdots\)
33600.2.a.cj 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+5q^{11}-2q^{13}+\cdots\)
33600.2.a.ck 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+6q^{11}-6q^{13}+\cdots\)
33600.2.a.cl 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots\)
33600.2.a.cm 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-6q^{11}+q^{13}+3q^{17}+\cdots\)
33600.2.a.cn 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
33600.2.a.co 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
33600.2.a.cp 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.cq 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.cr 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.cs 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-3q^{11}-4q^{13}+\cdots\)
33600.2.a.ct 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots\)
33600.2.a.cu 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots\)
33600.2.a.cv 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots\)
33600.2.a.cw 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
33600.2.a.cx 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-2q^{11}+q^{13}+3q^{17}+\cdots\)
33600.2.a.cy 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
33600.2.a.cz 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-q^{11}-4q^{13}+2q^{17}+\cdots\)
33600.2.a.da 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-q^{11}+2q^{13}+6q^{19}+\cdots\)
33600.2.a.db 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-6q^{13}-2q^{17}+\cdots\)
33600.2.a.dc 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{13}-2q^{17}+\cdots\)
33600.2.a.dd 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{13}-2q^{17}+\cdots\)
33600.2.a.de 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{13}-2q^{17}+\cdots\)
33600.2.a.df 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
33600.2.a.dg 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
33600.2.a.dh 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+q^{11}-2q^{13}-6q^{19}+\cdots\)
33600.2.a.di 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+q^{11}+4q^{13}-2q^{17}+\cdots\)
33600.2.a.dj 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
33600.2.a.dk 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{11}-q^{13}-3q^{17}+\cdots\)
33600.2.a.dl 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{11}+6q^{17}+\cdots\)
33600.2.a.dm 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots\)
33600.2.a.dn 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+3q^{11}-2q^{13}+\cdots\)
33600.2.a.do 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+3q^{11}+4q^{13}+\cdots\)
33600.2.a.dp 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.dq 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.dr 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
33600.2.a.ds 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
33600.2.a.dt 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+6q^{11}-4q^{13}+\cdots\)
33600.2.a.du 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+6q^{11}-q^{13}-3q^{17}+\cdots\)
33600.2.a.dv 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-6q^{11}-4q^{13}+\cdots\)
33600.2.a.dw 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-6q^{11}-q^{13}-3q^{17}+\cdots\)
33600.2.a.dx 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.dy 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.dz 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
33600.2.a.ea 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
33600.2.a.eb 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
33600.2.a.ec 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots\)
33600.2.a.ed 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
33600.2.a.ee 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-2q^{11}-q^{13}-3q^{17}+\cdots\)
33600.2.a.ef 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-2q^{11}+6q^{17}+\cdots\)
33600.2.a.eg 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
33600.2.a.eh 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-q^{11}-2q^{13}+6q^{19}+\cdots\)
33600.2.a.ei 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-q^{11}+4q^{13}-2q^{17}+\cdots\)
33600.2.a.ej 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-6q^{13}-2q^{17}+\cdots\)
33600.2.a.ek 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{13}-2q^{17}+\cdots\)
33600.2.a.el 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{13}-2q^{17}+\cdots\)
33600.2.a.em 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{13}-2q^{17}+\cdots\)
33600.2.a.en 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
33600.2.a.eo 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
33600.2.a.ep 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+q^{11}-4q^{13}+2q^{17}+\cdots\)
33600.2.a.eq 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+q^{11}+2q^{13}-6q^{19}+\cdots\)
33600.2.a.er 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
33600.2.a.es 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots\)
33600.2.a.et 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
33600.2.a.eu 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{11}+q^{13}+3q^{17}+\cdots\)
33600.2.a.ev 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots\)
33600.2.a.ew 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+3q^{11}-4q^{13}+\cdots\)
33600.2.a.ex 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+3q^{11}+2q^{13}+\cdots\)
33600.2.a.ey 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
33600.2.a.ez 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.fa 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.fb 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.fc 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+6q^{11}+q^{13}+3q^{17}+\cdots\)
33600.2.a.fd 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots\)
33600.2.a.fe 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-6q^{11}-6q^{13}+\cdots\)
33600.2.a.ff 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
33600.2.a.fg 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-5q^{11}-4q^{13}+\cdots\)
33600.2.a.fh 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-5q^{11}-2q^{13}+\cdots\)
33600.2.a.fi 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
33600.2.a.fj 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
33600.2.a.fk 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.fl 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.fm 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
33600.2.a.fn 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
33600.2.a.fo 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
33600.2.a.fp 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
33600.2.a.fq 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
33600.2.a.fr 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-3q^{11}+2q^{17}+\cdots\)
33600.2.a.fs 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}-5q^{13}+\cdots\)
33600.2.a.ft 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots\)
33600.2.a.fu 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots\)
33600.2.a.fv 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
33600.2.a.fw 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+q^{13}+q^{17}+\cdots\)
33600.2.a.fx 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
33600.2.a.fy 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
33600.2.a.fz 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
33600.2.a.ga 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
33600.2.a.gb 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
33600.2.a.gc 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
33600.2.a.gd 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
33600.2.a.ge 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{11}+7q^{13}+\cdots\)
33600.2.a.gf 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-q^{11}-4q^{13}+2q^{17}+\cdots\)
33600.2.a.gg 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-q^{11}+2q^{13}+8q^{17}+\cdots\)
33600.2.a.gh 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{13}-6q^{17}+\cdots\)
33600.2.a.gi 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{13}-6q^{17}+\cdots\)
33600.2.a.gj 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{13}+2q^{17}+\cdots\)
33600.2.a.gk 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
33600.2.a.gl 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+6q^{13}+2q^{17}+\cdots\)
33600.2.a.gm 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+6q^{13}+2q^{17}+\cdots\)
33600.2.a.gn 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+q^{11}-2q^{13}-8q^{17}+\cdots\)
33600.2.a.go 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+q^{11}+4q^{13}-2q^{17}+\cdots\)
33600.2.a.gp 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}-7q^{13}+\cdots\)
33600.2.a.gq 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
33600.2.a.gr 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots\)
33600.2.a.gs 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
33600.2.a.gt 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
33600.2.a.gu 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
33600.2.a.gv 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}-q^{13}-q^{17}+\cdots\)
33600.2.a.gw 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
33600.2.a.gx 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots\)
33600.2.a.gy 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+2q^{11}+5q^{13}+\cdots\)
33600.2.a.gz 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+3q^{11}-2q^{17}+\cdots\)
33600.2.a.ha 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+3q^{11}+2q^{13}+\cdots\)
33600.2.a.hb 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
33600.2.a.hc 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
33600.2.a.hd 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.he 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.hf 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.hg 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.hh 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
33600.2.a.hi 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
33600.2.a.hj 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
33600.2.a.hk 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
33600.2.a.hl 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+5q^{11}+2q^{13}+\cdots\)
33600.2.a.hm 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+5q^{11}+4q^{13}+\cdots\)
33600.2.a.hn 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
33600.2.a.ho 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots\)
33600.2.a.hp 33600.a 1.a $1$ $268.297$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}+6q^{11}+6q^{13}+\cdots\)
33600.2.a.hq 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.hr 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.hs 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{19}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.ht 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.hu 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.hv 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.hw 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) not computed \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $-$ $+$
33600.2.a.hx 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.hy 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.hz 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{19}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.ia 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.ib 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(-2\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.ic 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.id 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{13}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.ie 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(0\) \(2\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.if 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.ig 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.ih 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{73}) \) None \(0\) \(-2\) \(0\) \(2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.ii 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.ij 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.ik 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{73}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.il 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.im 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.in 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.io 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.ip 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{13}) \) None \(0\) \(-2\) \(0\) \(2\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.iq 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{13}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.ir 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.is 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.it 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.iu 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.iv 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{73}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.iw 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.ix 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.iy 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{73}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.iz 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.ja 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.jb 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.jc 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{13}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.jd 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.je 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jf 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.jg 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.jh 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(2\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.ji 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{19}) \) None \(0\) \(2\) \(0\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jj 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.jk 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) not computed \(0\) \(2\) \(0\) \(2\) $+$ $-$ $-$ $-$
33600.2.a.jl 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{19}) \) None \(0\) \(2\) \(0\) \(2\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.jm 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.jn 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jo 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(2\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jp 33600.a 1.a $2$ $268.297$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(2\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.jq 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(-3\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.jr 33600.a 1.a $3$ $268.297$ 3.3.2300.1 None \(0\) \(-3\) \(0\) \(-3\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.js 33600.a 1.a $3$ $268.297$ 3.3.2300.1 None \(0\) \(-3\) \(0\) \(-3\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.jt 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(-3\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.ju 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jv 33600.a 1.a $3$ $268.297$ 3.3.892.1 None \(0\) \(-3\) \(0\) \(3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jw 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(3\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jx 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jy 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(3\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.jz 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(3\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.ka 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(3\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.kb 33600.a 1.a $3$ $268.297$ 3.3.892.1 None \(0\) \(-3\) \(0\) \(3\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.kc 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(3\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.kd 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(-3\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.ke 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(-3\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.kf 33600.a 1.a $3$ $268.297$ 3.3.892.1 None \(0\) \(3\) \(0\) \(-3\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.kg 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(-3\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.kh 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(-3\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.ki 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(-3\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.kj 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(-3\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.kk 33600.a 1.a $3$ $268.297$ 3.3.892.1 None \(0\) \(3\) \(0\) \(-3\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.kl 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(-3\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.km 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(3\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.kn 33600.a 1.a $3$ $268.297$ 3.3.2300.1 None \(0\) \(3\) \(0\) \(3\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.ko 33600.a 1.a $3$ $268.297$ 3.3.2300.1 None \(0\) \(3\) \(0\) \(3\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.kp 33600.a 1.a $3$ $268.297$ 3.3.148.1 None \(0\) \(3\) \(0\) \(3\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.kq 33600.a 1.a $4$ $268.297$ 4.4.127896.1 None \(0\) \(-4\) \(0\) \(-4\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.kr 33600.a 1.a $4$ $268.297$ \(\Q(\zeta_{20})^+\) not computed \(0\) \(-4\) \(0\) \(-4\) $+$ $+$ $-$ $+$
33600.2.a.ks 33600.a 1.a $4$ $268.297$ 4.4.127896.1 None \(0\) \(-4\) \(0\) \(-4\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.kt 33600.a 1.a $4$ $268.297$ 4.4.290856.1 None \(0\) \(-4\) \(0\) \(4\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.ku 33600.a 1.a $4$ $268.297$ \(\Q(\zeta_{24})^+\) not computed \(0\) \(-4\) \(0\) \(4\) $+$ $+$ $-$ $-$
33600.2.a.kv 33600.a 1.a $4$ $268.297$ \(\Q(\zeta_{24})^+\) not computed \(0\) \(-4\) \(0\) \(4\) $+$ $+$ $-$ $-$
33600.2.a.kw 33600.a 1.a $4$ $268.297$ 4.4.290856.1 None \(0\) \(-4\) \(0\) \(4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.kx 33600.a 1.a $4$ $268.297$ 4.4.290856.1 None \(0\) \(4\) \(0\) \(-4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.ky 33600.a 1.a $4$ $268.297$ \(\Q(\zeta_{24})^+\) not computed \(0\) \(4\) \(0\) \(-4\) $+$ $-$ $-$ $+$
33600.2.a.kz 33600.a 1.a $4$ $268.297$ \(\Q(\zeta_{24})^+\) not computed \(0\) \(4\) \(0\) \(-4\) $+$ $-$ $-$ $+$
33600.2.a.la 33600.a 1.a $4$ $268.297$ 4.4.290856.1 None \(0\) \(4\) \(0\) \(-4\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
33600.2.a.lb 33600.a 1.a $4$ $268.297$ 4.4.127896.1 None \(0\) \(4\) \(0\) \(4\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
33600.2.a.lc 33600.a 1.a $4$ $268.297$ \(\Q(\zeta_{20})^+\) not computed \(0\) \(4\) \(0\) \(4\) $+$ $-$ $-$ $-$
33600.2.a.ld 33600.a 1.a $4$ $268.297$ 4.4.127896.1 None \(0\) \(4\) \(0\) \(4\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.le 33600.a 1.a $5$ $268.297$ 5.5.126032.1 None \(0\) \(-5\) \(0\) \(5\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.lf 33600.a 1.a $5$ $268.297$ 5.5.126032.1 None \(0\) \(-5\) \(0\) \(5\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
33600.2.a.lg 33600.a 1.a $5$ $268.297$ 5.5.126032.1 None \(0\) \(5\) \(0\) \(-5\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
33600.2.a.lh 33600.a 1.a $5$ $268.297$ 5.5.126032.1 None \(0\) \(5\) \(0\) \(-5\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(33600))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(33600)) \simeq \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(20))\)\(^{\oplus 40}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 21}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(24))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(30))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(32))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(35))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(40))\)\(^{\oplus 32}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(48))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(50))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(56))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(64))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(70))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(75))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(80))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(84))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(96))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(100))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(105))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(112))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(120))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(140))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(150))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(160))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(168))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(175))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(192))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(200))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(210))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(224))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(240))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(280))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(300))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(320))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(336))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(350))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(400))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(420))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(448))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(480))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(525))\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(560))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(600))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(672))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(700))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(800))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(840))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(960))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1050))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1120))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1200))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1344))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1400))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1600))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1680))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2100))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2240))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2400))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2800))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3360))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4200))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4800))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(5600))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(6720))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(8400))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(11200))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(16800))\)\(^{\oplus 2}\)