Properties

Label 47040.2.a
Level $47040$
Weight $2$
Character orbit 47040.a
Rep. character $\chi_{47040}(1,\cdot)$
Character field $\Q$
Dimension $656$
Newform subspaces $344$
Sturm bound $21504$

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Defining parameters

Level: \( N \) \(=\) \( 47040 = 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 47040.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 344 \)
Sturm bound: \(21504\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(47040))\).

Total New Old
Modular forms 10944 656 10288
Cusp forms 10561 656 9905
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
\(+\)\(+\)\(+\)\(+\)\(+\)\(668\)\(39\)\(629\)\(645\)\(39\)\(606\)\(23\)\(0\)\(23\)
\(+\)\(+\)\(+\)\(-\)\(-\)\(696\)\(42\)\(654\)\(672\)\(42\)\(630\)\(24\)\(0\)\(24\)
\(+\)\(+\)\(-\)\(+\)\(-\)\(700\)\(43\)\(657\)\(676\)\(43\)\(633\)\(24\)\(0\)\(24\)
\(+\)\(+\)\(-\)\(-\)\(+\)\(672\)\(39\)\(633\)\(648\)\(39\)\(609\)\(24\)\(0\)\(24\)
\(+\)\(-\)\(+\)\(+\)\(-\)\(684\)\(41\)\(643\)\(660\)\(41\)\(619\)\(24\)\(0\)\(24\)
\(+\)\(-\)\(+\)\(-\)\(+\)\(680\)\(42\)\(638\)\(656\)\(42\)\(614\)\(24\)\(0\)\(24\)
\(+\)\(-\)\(-\)\(+\)\(+\)\(684\)\(37\)\(647\)\(660\)\(37\)\(623\)\(24\)\(0\)\(24\)
\(+\)\(-\)\(-\)\(-\)\(-\)\(688\)\(45\)\(643\)\(664\)\(45\)\(619\)\(24\)\(0\)\(24\)
\(-\)\(+\)\(+\)\(+\)\(-\)\(692\)\(41\)\(651\)\(668\)\(41\)\(627\)\(24\)\(0\)\(24\)
\(-\)\(+\)\(+\)\(-\)\(+\)\(680\)\(42\)\(638\)\(656\)\(42\)\(614\)\(24\)\(0\)\(24\)
\(-\)\(+\)\(-\)\(+\)\(+\)\(676\)\(37\)\(639\)\(652\)\(37\)\(615\)\(24\)\(0\)\(24\)
\(-\)\(+\)\(-\)\(-\)\(-\)\(688\)\(45\)\(643\)\(664\)\(45\)\(619\)\(24\)\(0\)\(24\)
\(-\)\(-\)\(+\)\(+\)\(+\)\(692\)\(39\)\(653\)\(668\)\(39\)\(629\)\(24\)\(0\)\(24\)
\(-\)\(-\)\(+\)\(-\)\(-\)\(680\)\(42\)\(638\)\(656\)\(42\)\(614\)\(24\)\(0\)\(24\)
\(-\)\(-\)\(-\)\(+\)\(-\)\(676\)\(43\)\(633\)\(652\)\(43\)\(609\)\(24\)\(0\)\(24\)
\(-\)\(-\)\(-\)\(-\)\(+\)\(688\)\(39\)\(649\)\(664\)\(39\)\(625\)\(24\)\(0\)\(24\)
Plus space\(+\)\(5440\)\(314\)\(5126\)\(5249\)\(314\)\(4935\)\(191\)\(0\)\(191\)
Minus space\(-\)\(5504\)\(342\)\(5162\)\(5312\)\(342\)\(4970\)\(192\)\(0\)\(192\)

Trace form

\( 656 q + 656 q^{9} + 16 q^{13} + 656 q^{25} - 32 q^{29} - 16 q^{37} - 32 q^{53} + 32 q^{61} + 16 q^{69} + 656 q^{81} + 16 q^{85} + 16 q^{93}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(47040))\) 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
47040.2.a.a 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-6q^{11}-6q^{13}+\cdots\)
47040.2.a.b 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-6q^{11}-2q^{13}+\cdots\)
47040.2.a.c 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-5q^{11}+5q^{13}+\cdots\)
47040.2.a.d 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
47040.2.a.e 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
47040.2.a.f 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.g 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.h 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
47040.2.a.i 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
47040.2.a.j 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
47040.2.a.k 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-3q^{11}+q^{13}+q^{15}+\cdots\)
47040.2.a.l 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-3q^{11}+q^{13}+q^{15}+\cdots\)
47040.2.a.m 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-2q^{11}-q^{13}+q^{15}+\cdots\)
47040.2.a.n 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-2q^{11}+4q^{13}+\cdots\)
47040.2.a.o 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-2q^{11}+5q^{13}+\cdots\)
47040.2.a.p 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-q^{11}+5q^{13}+q^{15}+\cdots\)
47040.2.a.q 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-6q^{13}+q^{15}+2q^{17}+\cdots\)
47040.2.a.r 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-2q^{13}+q^{15}-6q^{17}+\cdots\)
47040.2.a.s 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-q^{13}+q^{15}-6q^{17}+\cdots\)
47040.2.a.t 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+q^{13}+q^{15}+2q^{17}+\cdots\)
47040.2.a.u 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{13}+q^{15}-6q^{17}+\cdots\)
47040.2.a.v 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{13}+q^{15}-2q^{17}+\cdots\)
47040.2.a.w 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{13}+q^{15}-2q^{17}+\cdots\)
47040.2.a.x 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{13}+q^{15}-2q^{17}+\cdots\)
47040.2.a.y 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{13}+q^{15}+6q^{17}+\cdots\)
47040.2.a.z 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{13}+q^{15}+6q^{17}+\cdots\)
47040.2.a.ba 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+6q^{13}+q^{15}+2q^{17}+\cdots\)
47040.2.a.bb 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+q^{11}-7q^{13}+q^{15}+\cdots\)
47040.2.a.bc 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+q^{11}+q^{13}+q^{15}+\cdots\)
47040.2.a.bd 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{11}-6q^{13}+\cdots\)
47040.2.a.be 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{11}-2q^{13}+\cdots\)
47040.2.a.bf 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{11}+q^{15}+6q^{17}+\cdots\)
47040.2.a.bg 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{11}+q^{13}+q^{15}+\cdots\)
47040.2.a.bh 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{11}+2q^{13}+\cdots\)
47040.2.a.bi 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+2q^{11}+4q^{13}+\cdots\)
47040.2.a.bj 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+3q^{11}+5q^{13}+\cdots\)
47040.2.a.bk 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.bl 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.bm 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
47040.2.a.bn 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
47040.2.a.bo 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}+5q^{13}+\cdots\)
47040.2.a.bp 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
47040.2.a.bq 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+4q^{11}+7q^{13}+\cdots\)
47040.2.a.br 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+5q^{11}+q^{13}+q^{15}+\cdots\)
47040.2.a.bs 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+6q^{11}-4q^{13}+\cdots\)
47040.2.a.bt 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+6q^{11}-4q^{13}+\cdots\)
47040.2.a.bu 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+6q^{11}+q^{15}-6q^{17}+\cdots\)
47040.2.a.bv 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}+6q^{11}+3q^{13}+\cdots\)
47040.2.a.bw 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-6q^{11}-3q^{13}+\cdots\)
47040.2.a.bx 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-6q^{11}-q^{15}+6q^{17}+\cdots\)
47040.2.a.by 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-6q^{11}+4q^{13}+\cdots\)
47040.2.a.bz 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-6q^{11}+4q^{13}+\cdots\)
47040.2.a.ca 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-5q^{11}-q^{13}-q^{15}+\cdots\)
47040.2.a.cb 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-7q^{13}+\cdots\)
47040.2.a.cc 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-5q^{13}+\cdots\)
47040.2.a.cd 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.ce 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.cf 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.cg 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.ch 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.ci 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
47040.2.a.cj 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
47040.2.a.ck 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-3q^{11}-5q^{13}+\cdots\)
47040.2.a.cl 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{11}-4q^{13}+\cdots\)
47040.2.a.cm 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{11}-2q^{13}+\cdots\)
47040.2.a.cn 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{11}-q^{13}-q^{15}+\cdots\)
47040.2.a.co 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{11}+2q^{13}+\cdots\)
47040.2.a.cp 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{11}+6q^{13}+\cdots\)
47040.2.a.cq 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-q^{11}-q^{13}-q^{15}+\cdots\)
47040.2.a.cr 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-q^{11}+7q^{13}-q^{15}+\cdots\)
47040.2.a.cs 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-6q^{13}-q^{15}-2q^{17}+\cdots\)
47040.2.a.ct 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}+2q^{17}+\cdots\)
47040.2.a.cu 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}+2q^{17}+\cdots\)
47040.2.a.cv 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}+6q^{17}+\cdots\)
47040.2.a.cw 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}-q^{13}-q^{15}-2q^{17}+\cdots\)
47040.2.a.cx 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+q^{13}-q^{15}+6q^{17}+\cdots\)
47040.2.a.cy 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{13}-q^{15}-6q^{17}+\cdots\)
47040.2.a.cz 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{13}-q^{15}-2q^{17}+\cdots\)
47040.2.a.da 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{13}-q^{15}+2q^{17}+\cdots\)
47040.2.a.db 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{13}-q^{15}+6q^{17}+\cdots\)
47040.2.a.dc 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+q^{11}-5q^{13}-q^{15}+\cdots\)
47040.2.a.dd 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{11}-5q^{13}+\cdots\)
47040.2.a.de 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{11}-4q^{13}+\cdots\)
47040.2.a.df 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{11}+q^{13}-q^{15}+\cdots\)
47040.2.a.dg 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{11}+4q^{13}+\cdots\)
47040.2.a.dh 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+2q^{11}+4q^{13}+\cdots\)
47040.2.a.di 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+3q^{11}-q^{13}-q^{15}+\cdots\)
47040.2.a.dj 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+3q^{11}-q^{13}-q^{15}+\cdots\)
47040.2.a.dk 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots\)
47040.2.a.dl 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots\)
47040.2.a.dm 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.dn 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.do 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.dp 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
47040.2.a.dq 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+5q^{11}-5q^{13}+\cdots\)
47040.2.a.dr 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+6q^{11}+2q^{13}+\cdots\)
47040.2.a.ds 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+6q^{11}+6q^{13}+\cdots\)
47040.2.a.dt 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-6q^{11}-4q^{13}+\cdots\)
47040.2.a.du 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-6q^{11}-4q^{13}+\cdots\)
47040.2.a.dv 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-6q^{11}-q^{15}-6q^{17}+\cdots\)
47040.2.a.dw 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-6q^{11}+3q^{13}+\cdots\)
47040.2.a.dx 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-5q^{11}+q^{13}-q^{15}+\cdots\)
47040.2.a.dy 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.dz 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.ea 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
47040.2.a.eb 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
47040.2.a.ec 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-4q^{11}+5q^{13}+\cdots\)
47040.2.a.ed 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
47040.2.a.ee 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-4q^{11}+7q^{13}+\cdots\)
47040.2.a.ef 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-3q^{11}+5q^{13}+\cdots\)
47040.2.a.eg 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{11}-6q^{13}+\cdots\)
47040.2.a.eh 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{11}-2q^{13}+\cdots\)
47040.2.a.ei 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{11}-q^{15}+6q^{17}+\cdots\)
47040.2.a.ej 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{11}+q^{13}-q^{15}+\cdots\)
47040.2.a.ek 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{11}+2q^{13}+\cdots\)
47040.2.a.el 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{11}+4q^{13}+\cdots\)
47040.2.a.em 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-q^{11}-7q^{13}-q^{15}+\cdots\)
47040.2.a.en 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-q^{11}+q^{13}-q^{15}+\cdots\)
47040.2.a.eo 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-6q^{13}-q^{15}+2q^{17}+\cdots\)
47040.2.a.ep 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-2q^{13}-q^{15}-6q^{17}+\cdots\)
47040.2.a.eq 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}-q^{13}-q^{15}-6q^{17}+\cdots\)
47040.2.a.er 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+q^{13}-q^{15}+2q^{17}+\cdots\)
47040.2.a.es 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{13}-q^{15}-6q^{17}+\cdots\)
47040.2.a.et 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{13}-q^{15}-2q^{17}+\cdots\)
47040.2.a.eu 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{13}-q^{15}-2q^{17}+\cdots\)
47040.2.a.ev 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{13}-q^{15}-2q^{17}+\cdots\)
47040.2.a.ew 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{13}-q^{15}+6q^{17}+\cdots\)
47040.2.a.ex 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{13}-q^{15}+6q^{17}+\cdots\)
47040.2.a.ey 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+6q^{13}-q^{15}+2q^{17}+\cdots\)
47040.2.a.ez 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+q^{11}+5q^{13}-q^{15}+\cdots\)
47040.2.a.fa 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{11}-q^{13}-q^{15}+\cdots\)
47040.2.a.fb 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{11}+4q^{13}+\cdots\)
47040.2.a.fc 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+2q^{11}+5q^{13}+\cdots\)
47040.2.a.fd 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+3q^{11}+q^{13}-q^{15}+\cdots\)
47040.2.a.fe 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+3q^{11}+q^{13}-q^{15}+\cdots\)
47040.2.a.ff 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots\)
47040.2.a.fg 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots\)
47040.2.a.fh 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.fi 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.fj 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
47040.2.a.fk 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
47040.2.a.fl 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
47040.2.a.fm 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+5q^{11}+5q^{13}+\cdots\)
47040.2.a.fn 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+6q^{11}-6q^{13}+\cdots\)
47040.2.a.fo 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+6q^{11}-2q^{13}+\cdots\)
47040.2.a.fp 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-6q^{11}+2q^{13}+\cdots\)
47040.2.a.fq 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-6q^{11}+6q^{13}+\cdots\)
47040.2.a.fr 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-5q^{11}-5q^{13}+\cdots\)
47040.2.a.fs 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
47040.2.a.ft 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
47040.2.a.fu 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.fv 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.fw 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
47040.2.a.fx 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
47040.2.a.fy 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-3q^{11}-q^{13}+q^{15}+\cdots\)
47040.2.a.fz 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-3q^{11}-q^{13}+q^{15}+\cdots\)
47040.2.a.ga 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{11}-5q^{13}+\cdots\)
47040.2.a.gb 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{11}-4q^{13}+\cdots\)
47040.2.a.gc 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{11}+q^{13}+q^{15}+\cdots\)
47040.2.a.gd 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{11}+4q^{13}+\cdots\)
47040.2.a.ge 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{11}+4q^{13}+\cdots\)
47040.2.a.gf 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-q^{11}-5q^{13}+q^{15}+\cdots\)
47040.2.a.gg 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-6q^{13}+q^{15}-2q^{17}+\cdots\)
47040.2.a.gh 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{13}+q^{15}+2q^{17}+\cdots\)
47040.2.a.gi 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{13}+q^{15}+2q^{17}+\cdots\)
47040.2.a.gj 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-2q^{13}+q^{15}+6q^{17}+\cdots\)
47040.2.a.gk 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-q^{13}+q^{15}-2q^{17}+\cdots\)
47040.2.a.gl 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+q^{13}+q^{15}+6q^{17}+\cdots\)
47040.2.a.gm 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{13}+q^{15}-6q^{17}+\cdots\)
47040.2.a.gn 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{13}+q^{15}-2q^{17}+\cdots\)
47040.2.a.go 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{13}+q^{15}+2q^{17}+\cdots\)
47040.2.a.gp 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{13}+q^{15}+6q^{17}+\cdots\)
47040.2.a.gq 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+q^{11}-q^{13}+q^{15}+\cdots\)
47040.2.a.gr 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+q^{11}+7q^{13}+q^{15}+\cdots\)
47040.2.a.gs 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{11}-4q^{13}+\cdots\)
47040.2.a.gt 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{11}-2q^{13}+\cdots\)
47040.2.a.gu 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{11}-q^{13}+q^{15}+\cdots\)
47040.2.a.gv 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{11}+2q^{13}+\cdots\)
47040.2.a.gw 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+2q^{11}+6q^{13}+\cdots\)
47040.2.a.gx 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+3q^{11}-5q^{13}+\cdots\)
47040.2.a.gy 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-7q^{13}+\cdots\)
47040.2.a.gz 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-5q^{13}+\cdots\)
47040.2.a.ha 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.hb 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.hc 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.hd 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.he 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
47040.2.a.hf 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
47040.2.a.hg 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
47040.2.a.hh 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+5q^{11}-q^{13}+q^{15}+\cdots\)
47040.2.a.hi 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+6q^{11}-3q^{13}+\cdots\)
47040.2.a.hj 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+6q^{11}+q^{15}+6q^{17}+\cdots\)
47040.2.a.hk 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+6q^{11}+4q^{13}+\cdots\)
47040.2.a.hl 47040.a 1.a $1$ $375.616$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}+6q^{11}+4q^{13}+\cdots\)
47040.2.a.hm 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.hn 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.ho 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.hp 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.hq 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.hr 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.hs 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.ht 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.hu 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{7}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.hv 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.hw 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.hx 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.hy 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.hz 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.ia 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{7}) \) None \(0\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.ib 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.ic 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.id 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.ie 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.if 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ig 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.ih 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{7}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ii 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.ij 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.ik 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.il 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.im 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.in 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.io 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{7}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.ip 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.iq 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ir 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.is 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.it 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.iu 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.iv 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.iw 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.ix 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.iy 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.iz 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.ja 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.jb 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.jc 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.jd 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.je 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.jf 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.jg 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.jh 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.ji 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.jj 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.jk 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.jl 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.jm 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.jn 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.jo 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.jp 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.jq 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.jr 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.js 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.jt 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ju 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.jv 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.jw 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.jx 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.jy 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.jz 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.ka 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.kb 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.kc 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.kd 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ke 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.kf 47040.a 1.a $2$ $375.616$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.kg 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(-3\) \(-3\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.kh 47040.a 1.a $3$ $375.616$ 3.3.229.1 None \(0\) \(-3\) \(-3\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.ki 47040.a 1.a $3$ $375.616$ 3.3.3132.1 None \(0\) \(-3\) \(-3\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.kj 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(-3\) \(-3\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.kk 47040.a 1.a $3$ $375.616$ 3.3.229.1 None \(0\) \(-3\) \(-3\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.kl 47040.a 1.a $3$ $375.616$ 3.3.3576.1 None \(0\) \(-3\) \(-3\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.km 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(-3\) \(-3\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.kn 47040.a 1.a $3$ $375.616$ 3.3.1524.1 None \(0\) \(-3\) \(-3\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.ko 47040.a 1.a $3$ $375.616$ 3.3.1524.1 None \(0\) \(-3\) \(3\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.kp 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(-3\) \(3\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.kq 47040.a 1.a $3$ $375.616$ 3.3.3576.1 None \(0\) \(-3\) \(3\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.kr 47040.a 1.a $3$ $375.616$ 3.3.229.1 None \(0\) \(-3\) \(3\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.ks 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(-3\) \(3\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.kt 47040.a 1.a $3$ $375.616$ 3.3.3132.1 None \(0\) \(-3\) \(3\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ku 47040.a 1.a $3$ $375.616$ 3.3.148.1 None \(0\) \(-3\) \(3\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.kv 47040.a 1.a $3$ $375.616$ 3.3.229.1 None \(0\) \(-3\) \(3\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.kw 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(-3\) \(3\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.kx 47040.a 1.a $3$ $375.616$ 3.3.1524.1 None \(0\) \(3\) \(-3\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.ky 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(3\) \(-3\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.kz 47040.a 1.a $3$ $375.616$ 3.3.3576.1 None \(0\) \(3\) \(-3\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.la 47040.a 1.a $3$ $375.616$ 3.3.229.1 None \(0\) \(3\) \(-3\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.lb 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(3\) \(-3\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.lc 47040.a 1.a $3$ $375.616$ 3.3.3132.1 None \(0\) \(3\) \(-3\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.ld 47040.a 1.a $3$ $375.616$ 3.3.229.1 None \(0\) \(3\) \(-3\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.le 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(3\) \(-3\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.lf 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(3\) \(3\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.lg 47040.a 1.a $3$ $375.616$ 3.3.229.1 None \(0\) \(3\) \(3\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.lh 47040.a 1.a $3$ $375.616$ 3.3.148.1 None \(0\) \(3\) \(3\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.li 47040.a 1.a $3$ $375.616$ 3.3.3132.1 None \(0\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.lj 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.lk 47040.a 1.a $3$ $375.616$ 3.3.229.1 None \(0\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.ll 47040.a 1.a $3$ $375.616$ 3.3.3576.1 None \(0\) \(3\) \(3\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.lm 47040.a 1.a $3$ $375.616$ 3.3.404.1 None \(0\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ln 47040.a 1.a $3$ $375.616$ 3.3.1524.1 None \(0\) \(3\) \(3\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.lo 47040.a 1.a $4$ $375.616$ 4.4.22592.1 None \(0\) \(-4\) \(-4\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.lp 47040.a 1.a $4$ $375.616$ 4.4.29268.1 None \(0\) \(-4\) \(-4\) \(0\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.lq 47040.a 1.a $4$ $375.616$ \(\Q(\zeta_{16})^+\) None \(0\) \(-4\) \(-4\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.lr 47040.a 1.a $4$ $375.616$ 4.4.20308.1 None \(0\) \(-4\) \(-4\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.ls 47040.a 1.a $4$ $375.616$ 4.4.10304.1 None \(0\) \(-4\) \(-4\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.lt 47040.a 1.a $4$ $375.616$ 4.4.4352.1 None \(0\) \(-4\) \(-4\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.lu 47040.a 1.a $4$ $375.616$ 4.4.4352.1 None \(0\) \(-4\) \(4\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.lv 47040.a 1.a $4$ $375.616$ 4.4.10304.1 None \(0\) \(-4\) \(4\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.lw 47040.a 1.a $4$ $375.616$ 4.4.20308.1 None \(0\) \(-4\) \(4\) \(0\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.lx 47040.a 1.a $4$ $375.616$ \(\Q(\zeta_{16})^+\) None \(0\) \(-4\) \(4\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ly 47040.a 1.a $4$ $375.616$ 4.4.29268.1 None \(0\) \(-4\) \(4\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.lz 47040.a 1.a $4$ $375.616$ 4.4.22592.1 None \(0\) \(-4\) \(4\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ma 47040.a 1.a $4$ $375.616$ 4.4.4352.1 None \(0\) \(4\) \(-4\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.mb 47040.a 1.a $4$ $375.616$ 4.4.10304.1 None \(0\) \(4\) \(-4\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.mc 47040.a 1.a $4$ $375.616$ 4.4.20308.1 None \(0\) \(4\) \(-4\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.md 47040.a 1.a $4$ $375.616$ \(\Q(\zeta_{16})^+\) None \(0\) \(4\) \(-4\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.me 47040.a 1.a $4$ $375.616$ 4.4.29268.1 None \(0\) \(4\) \(-4\) \(0\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.mf 47040.a 1.a $4$ $375.616$ 4.4.22592.1 None \(0\) \(4\) \(-4\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.mg 47040.a 1.a $4$ $375.616$ 4.4.22592.1 None \(0\) \(4\) \(4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.mh 47040.a 1.a $4$ $375.616$ 4.4.29268.1 None \(0\) \(4\) \(4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.mi 47040.a 1.a $4$ $375.616$ \(\Q(\zeta_{16})^+\) None \(0\) \(4\) \(4\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.mj 47040.a 1.a $4$ $375.616$ 4.4.20308.1 None \(0\) \(4\) \(4\) \(0\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.mk 47040.a 1.a $4$ $375.616$ 4.4.10304.1 None \(0\) \(4\) \(4\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ml 47040.a 1.a $4$ $375.616$ 4.4.4352.1 None \(0\) \(4\) \(4\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.mm 47040.a 1.a $5$ $375.616$ 5.5.3561732.1 None \(0\) \(-5\) \(-5\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.mn 47040.a 1.a $5$ $375.616$ 5.5.22775940.1 None \(0\) \(-5\) \(-5\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.mo 47040.a 1.a $5$ $375.616$ 5.5.22775940.1 None \(0\) \(-5\) \(5\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.mp 47040.a 1.a $5$ $375.616$ 5.5.3561732.1 None \(0\) \(-5\) \(5\) \(0\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.mq 47040.a 1.a $5$ $375.616$ 5.5.22775940.1 None \(0\) \(5\) \(-5\) \(0\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$
47040.2.a.mr 47040.a 1.a $5$ $375.616$ 5.5.3561732.1 None \(0\) \(5\) \(-5\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.ms 47040.a 1.a $5$ $375.616$ 5.5.3561732.1 None \(0\) \(5\) \(5\) \(0\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$
47040.2.a.mt 47040.a 1.a $5$ $375.616$ 5.5.22775940.1 None \(0\) \(5\) \(5\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.mu 47040.a 1.a $6$ $375.616$ 6.6.59148288.1 None \(0\) \(-6\) \(-6\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.mv 47040.a 1.a $6$ $375.616$ 6.6.41781248.1 None \(0\) \(-6\) \(-6\) \(0\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.mw 47040.a 1.a $6$ $375.616$ 6.6.41781248.1 None \(0\) \(-6\) \(6\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.mx 47040.a 1.a $6$ $375.616$ 6.6.59148288.1 None \(0\) \(-6\) \(6\) \(0\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.my 47040.a 1.a $6$ $375.616$ 6.6.41781248.1 None \(0\) \(6\) \(-6\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.mz 47040.a 1.a $6$ $375.616$ 6.6.59148288.1 None \(0\) \(6\) \(-6\) \(0\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.na 47040.a 1.a $6$ $375.616$ 6.6.59148288.1 None \(0\) \(6\) \(6\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.nb 47040.a 1.a $6$ $375.616$ 6.6.41781248.1 None \(0\) \(6\) \(6\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.nc 47040.a 1.a $8$ $375.616$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-8\) \(-8\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.nd 47040.a 1.a $8$ $375.616$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-8\) \(8\) \(0\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$
47040.2.a.ne 47040.a 1.a $8$ $375.616$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(8\) \(-8\) \(0\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$
47040.2.a.nf 47040.a 1.a $8$ $375.616$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(8\) \(8\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(47040))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(47040)) \simeq \) \(S_{2}^{\mathrm{new}}(\Gamma_0(14))\)\(^{\oplus 48}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(15))\)\(^{\oplus 21}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(20))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(21))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(24))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(30))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(32))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(35))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(40))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(42))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(48))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(49))\)\(^{\oplus 28}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(56))\)\(^{\oplus 32}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(64))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(70))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(80))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(84))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(96))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(98))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(105))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(112))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(120))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(140))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(147))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(160))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(168))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(192))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(196))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(210))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(224))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(240))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(245))\)\(^{\oplus 14}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(280))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(294))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(320))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(336))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(392))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(420))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(448))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(480))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(490))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(560))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(588))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(672))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(735))\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(784))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(840))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(960))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(980))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1120))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1176))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1344))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1470))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1568))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1680))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(1960))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2240))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2352))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(2940))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3136))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3360))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(3920))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(4704))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(5880))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(6720))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(7840))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(9408))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(11760))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(15680))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_0(23520))\)\(^{\oplus 2}\)