LMFDB - Space of modular forms of level 45570, weight 2, and trivial character

Defining parameters

Level:	$ N $	$=$	$ 45570 = 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	45570.a (trivial)
Character field:			$\Q$
Newform subspaces:			$ 209 $
Sturm bound:			$21504$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(\Gamma_0(45570))$.

	Total	New	Old
Modular forms	10816	820	9996
Cusp forms	10689	820	9869
Eisenstein series	127	0	127

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

$2$	$3$	$5$	$7$	$31$	Fricke	Total			Cusp			Eisenstein
$2$	$3$	$5$	$7$	$31$	Fricke	All	New	Old	All	New	Old	All	New	Old
$+$	$+$	$+$	$+$	$+$	$+$	$320$	$25$	$295$	$317$	$25$	$292$	$3$	$0$	$3$
$+$	$+$	$+$	$+$	$-$	$-$	$348$	$24$	$324$	$344$	$24$	$320$	$4$	$0$	$4$
$+$	$+$	$+$	$-$	$+$	$-$	$353$	$27$	$326$	$349$	$27$	$322$	$4$	$0$	$4$
$+$	$+$	$+$	$-$	$-$	$+$	$330$	$27$	$303$	$326$	$27$	$299$	$4$	$0$	$4$
$+$	$+$	$-$	$+$	$+$	$-$	$348$	$23$	$325$	$344$	$23$	$321$	$4$	$0$	$4$
$+$	$+$	$-$	$+$	$-$	$+$	$332$	$28$	$304$	$328$	$28$	$300$	$4$	$0$	$4$
$+$	$+$	$-$	$-$	$+$	$+$	$330$	$27$	$303$	$326$	$27$	$299$	$4$	$0$	$4$
$+$	$+$	$-$	$-$	$-$	$-$	$341$	$24$	$317$	$337$	$24$	$313$	$4$	$0$	$4$
$+$	$-$	$+$	$+$	$+$	$-$	$344$	$28$	$316$	$340$	$28$	$312$	$4$	$0$	$4$
$+$	$-$	$+$	$+$	$-$	$+$	$340$	$21$	$319$	$336$	$21$	$315$	$4$	$0$	$4$
$+$	$-$	$+$	$-$	$+$	$+$	$335$	$24$	$311$	$331$	$24$	$307$	$4$	$0$	$4$
$+$	$-$	$+$	$-$	$-$	$-$	$334$	$30$	$304$	$330$	$30$	$300$	$4$	$0$	$4$
$+$	$-$	$-$	$+$	$+$	$+$	$340$	$24$	$316$	$336$	$24$	$312$	$4$	$0$	$4$
$+$	$-$	$-$	$+$	$-$	$-$	$332$	$27$	$305$	$328$	$27$	$301$	$4$	$0$	$4$
$+$	$-$	$-$	$-$	$+$	$-$	$334$	$27$	$307$	$330$	$27$	$303$	$4$	$0$	$4$
$+$	$-$	$-$	$-$	$-$	$+$	$347$	$24$	$323$	$343$	$24$	$319$	$4$	$0$	$4$
$-$	$+$	$+$	$+$	$+$	$-$	$336$	$25$	$311$	$332$	$25$	$307$	$4$	$0$	$4$
$-$	$+$	$+$	$+$	$-$	$+$	$340$	$26$	$314$	$336$	$26$	$310$	$4$	$0$	$4$
$-$	$+$	$+$	$-$	$+$	$+$	$341$	$24$	$317$	$337$	$24$	$313$	$4$	$0$	$4$
$-$	$+$	$+$	$-$	$-$	$-$	$336$	$27$	$309$	$332$	$27$	$305$	$4$	$0$	$4$
$-$	$+$	$-$	$+$	$+$	$+$	$348$	$23$	$325$	$344$	$23$	$321$	$4$	$0$	$4$
$-$	$+$	$-$	$+$	$-$	$-$	$332$	$26$	$306$	$328$	$26$	$302$	$4$	$0$	$4$
$-$	$+$	$-$	$-$	$+$	$-$	$328$	$30$	$298$	$324$	$30$	$294$	$4$	$0$	$4$
$-$	$+$	$-$	$-$	$-$	$+$	$345$	$24$	$321$	$341$	$24$	$317$	$4$	$0$	$4$
$-$	$-$	$+$	$+$	$+$	$+$	$328$	$22$	$306$	$324$	$22$	$302$	$4$	$0$	$4$
$-$	$-$	$+$	$+$	$-$	$-$	$348$	$29$	$319$	$344$	$29$	$315$	$4$	$0$	$4$
$-$	$-$	$+$	$-$	$+$	$-$	$347$	$30$	$317$	$343$	$30$	$313$	$4$	$0$	$4$
$-$	$-$	$+$	$-$	$-$	$+$	$328$	$21$	$307$	$324$	$21$	$303$	$4$	$0$	$4$
$-$	$-$	$-$	$+$	$+$	$-$	$340$	$30$	$310$	$336$	$30$	$306$	$4$	$0$	$4$
$-$	$-$	$-$	$+$	$-$	$+$	$332$	$19$	$313$	$328$	$19$	$309$	$4$	$0$	$4$
$-$	$-$	$-$	$-$	$+$	$+$	$336$	$21$	$315$	$332$	$21$	$311$	$4$	$0$	$4$
$-$	$-$	$-$	$-$	$-$	$-$	$343$	$33$	$310$	$339$	$33$	$306$	$4$	$0$	$4$
Plus space					$+$	$5372$	$380$	$4992$	$5309$	$380$	$4929$	$63$	$0$	$63$
Minus space					$-$	$5444$	$440$	$5004$	$5380$	$440$	$4940$	$64$	$0$	$64$

Trace form

$ 820 q + 820 q^{4} + 820 q^{9} + 4 q^{10} + 8 q^{11} + 820 q^{16} - 16 q^{17} - 8 q^{19} - 16 q^{23} + 820 q^{25} + 8 q^{26} - 16 q^{29} + 8 q^{33} + 16 q^{34} + 820 q^{36} + 4 q^{40} - 8 q^{41} - 16 q^{43}+ \cdots + 8 q^{99}+O(q^{100}) $

820 * q + 820 * q^4 + 820 * q^9 + 4 * q^10 + 8 * q^11 + 820 * q^16 - 16 * q^17 - 8 * q^19 - 16 * q^23 + 820 * q^25 + 8 * q^26 - 16 * q^29 + 8 * q^33 + 16 * q^34 + 820 * q^36 + 4 * q^40 - 8 * q^41 - 16 * q^43 + 8 * q^44 + 8 * q^46 + 16 * q^51 + 16 * q^53 + 16 * q^55 + 16 * q^58 + 8 * q^59 - 16 * q^61 + 820 * q^64 - 8 * q^65 + 8 * q^67 - 16 * q^68 + 16 * q^69 + 16 * q^71 + 16 * q^73 + 24 * q^74 - 8 * q^76 - 8 * q^78 + 32 * q^79 + 820 * q^81 + 16 * q^82 + 96 * q^83 + 48 * q^86 - 32 * q^87 + 88 * q^89 + 4 * q^90 - 16 * q^92 - 4 * q^93 - 16 * q^94 + 48 * q^95 + 40 * q^97 + 8 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(\Gamma_0(45570))$ into newform subspaces

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				A-L signs					Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	7	31	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
45570.2.a.a	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.b	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.c	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.d	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.e	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.f	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.g	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.h	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.i	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.j	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.k	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.l	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.m	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.n	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.o	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.p	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.q	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.r	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.s	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.t	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$-1$	$1$	$0$	$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
45570.2.a.u	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.v	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.w	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.x	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.y	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.z	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.ba	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bb	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bc	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bd	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.be	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bf	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bg	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bh	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bi	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bj	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bk	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bl	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bm	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
45570.2.a.bn	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bo	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bp	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bq	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.br	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bs	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bt	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bu	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bv	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$-1$	$0$	$-$	$+$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bw	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bx	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.by	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.bz	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.ca	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cb	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cc	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cd	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.ce	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cf	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cg	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.ch	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.ci	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cj	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.ck	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cl	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cm	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
45570.2.a.cn	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.co	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cp	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cq	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cr	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cs	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.ct	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cu	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cv	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cw	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cx	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cy	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.cz	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.da	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.db	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.dc	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.dd	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.de	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.df	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.dg	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.dh	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.di	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.dj	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.dk	$45570$	$2$	45570.a	1.a	$1$	$1$	$1$	$363.878$	$\Q$	None	✓	?				$-1$		$1$	$1$	$1$	$0$	$-$	$-$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
45570.2.a.dl	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$0$	$+$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.dm	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$-2$	$-2$	$0$	$+$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.dn	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$0$	$+$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.do	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$0$	$+$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.dp	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$0$	$+$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.dq	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$-2$	$2$	$0$	$+$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.dr	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$0$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.ds	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{10}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$0$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.dt	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{41}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$0$	$+$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.du	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$0$	$+$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.dv	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$0$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.dw	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$-2$	$2$	$-2$	$0$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.dx	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{6}) $	None	✓	?				$-1$		$-2$	$2$	$2$	$0$	$+$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.dy	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$0$	$-$	$+$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.dz	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$0$	$-$	$+$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.ea	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{33}) $	None	✓	?				$-1$		$2$	$-2$	$-2$	$0$	$-$	$+$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.eb	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$0$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.ec	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{73}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$0$	$-$	$+$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.ed	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$0$	$-$	$+$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.ee	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{65}) $	None	✓	?				$-1$		$2$	$-2$	$2$	$0$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.ef	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$0$	$-$	$-$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.eg	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$0$	$-$	$-$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.eh	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{6}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$0$	$-$	$-$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.ei	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{17}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$0$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.ej	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$2$	$-2$	$0$	$-$	$-$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.ek	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{3}) $	None	✓	?				$-1$		$2$	$2$	$2$	$0$	$-$	$-$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.el	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{2}) $	None	✓	?				$-1$		$2$	$2$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.em	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{41}) $	None	✓	?				$-1$		$2$	$2$	$2$	$0$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.en	$45570$	$2$	45570.a	1.a	$1$	$2$	$2$	$363.878$	$\Q(\sqrt{5}) $	None	✓	?				$-1$		$2$	$2$	$2$	$0$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.eo	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.8472.1	None	✓	?				$-1$		$-3$	$-3$	$-3$	$0$	$+$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.ep	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	$\Q(\zeta_{18})^+$	None	✓	?				$-1$		$-3$	$-3$	$3$	$0$	$+$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.eq	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.404.1	None	✓	?				$-1$		$-3$	$-3$	$3$	$0$	$+$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.er	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.3144.1	None	✓	?				$-1$		$-3$	$-3$	$3$	$0$	$+$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.es	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.404.1	None	✓	?				$-1$		$-3$	$3$	$-3$	$0$	$+$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.et	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.316.1	None	✓	?				$-1$		$-3$	$3$	$3$	$0$	$+$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.eu	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.229.1	None	✓	?				$-1$		$-3$	$3$	$3$	$0$	$+$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.ev	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.404.1	None	✓	?				$-1$		$3$	$-3$	$-3$	$0$	$-$	$+$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.ew	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.1944.1	None	✓	?				$-1$		$3$	$-3$	$-3$	$0$	$-$	$+$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.ex	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.404.1	None	✓	?				$-1$		$3$	$-3$	$3$	$0$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.ey	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.404.1	None	✓	?				$-1$		$3$	$3$	$-3$	$0$	$-$	$-$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.ez	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	$\Q(\zeta_{14})^+$	None	✓	?				$-1$		$3$	$3$	$-3$	$0$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.fa	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.404.1	None	✓	?				$-1$		$3$	$3$	$3$	$0$	$-$	$-$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.fb	$45570$	$2$	45570.a	1.a	$1$	$3$	$3$	$363.878$	3.3.316.1	None	✓	?				$-1$		$3$	$3$	$3$	$0$	$-$	$-$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.fc	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.98172.1	None	✓	?				$-1$		$-4$	$-4$	$4$	$0$	$+$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.fd	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.71540.1	None	✓	?				$-1$		$-4$	$-4$	$4$	$0$	$+$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.fe	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.71540.1	None	✓	?				$-1$		$-4$	$4$	$-4$	$0$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.ff	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.11344.1	None	✓	?				$-1$		$4$	$-4$	$4$	$0$	$-$	$+$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.fg	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.47032.1	None	✓	?				$-1$		$4$	$-4$	$4$	$0$	$-$	$+$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.fh	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.54764.1	None	✓	?				$-1$		$4$	$-4$	$4$	$0$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.fi	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	$\Q(\zeta_{16})^+$	None	✓	?				$-1$		$4$	$-4$	$4$	$0$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.fj	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.4352.1	None	✓	?				$-1$		$4$	$-4$	$4$	$0$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.fk	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.75348.1	None	✓	?				$-1$		$4$	$-4$	$4$	$0$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.fl	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	$\Q(\sqrt{2}, \sqrt{11})$	None	✓	?				$-1$		$4$	$-4$	$4$	$0$	$-$	$+$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.fm	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.11344.1	None	✓	?				$-1$		$4$	$4$	$-4$	$0$	$-$	$-$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.fn	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	$\Q(\zeta_{16})^+$	None	✓	?				$-1$		$4$	$4$	$-4$	$0$	$-$	$-$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.fo	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.75348.1	None	✓	?				$-1$		$4$	$4$	$-4$	$0$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.fp	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.4352.1	None	✓	?				$-1$		$4$	$4$	$-4$	$0$	$-$	$-$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.fq	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.11324.1	None	✓	?				$-1$		$4$	$4$	$-4$	$0$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.fr	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	$\Q(\sqrt{2}, \sqrt{11})$	None	✓	?				$-1$		$4$	$4$	$-4$	$0$	$-$	$-$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.fs	$45570$	$2$	45570.a	1.a	$1$	$4$	$4$	$363.878$	4.4.85688.1	None	✓	?				$-1$		$4$	$4$	$4$	$0$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.ft	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.22868128.1	None	✓	?				$-1$		$-5$	$-5$	$-5$	$0$	$+$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.fu	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.5251392.1	None	✓	?				$-1$		$-5$	$-5$	$5$	$0$	$+$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.fv	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.5251392.1	None	✓	?	✓			$-1$		$-5$	$5$	$-5$	$0$	$+$	$-$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.fw	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.1222393.1	None	✓	?				$-1$		$-5$	$5$	$5$	$0$	$+$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.fx	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.2412624.1	None	✓	?				$-1$		$5$	$-5$	$-5$	$0$	$-$	$+$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.fy	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.3525148.1	None	✓	?				$-1$		$5$	$-5$	$-5$	$0$	$-$	$+$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.fz	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.6309860.1	None	✓	?				$-1$		$5$	$-5$	$5$	$0$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.ga	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.6309860.1	None	✓	?	✓			$-1$		$5$	$5$	$-5$	$0$	$-$	$-$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.gb	$45570$	$2$	45570.a	1.a	$1$	$5$	$5$	$363.878$	5.5.2412624.1	None	✓	?				$-1$		$5$	$5$	$5$	$0$	$-$	$-$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.gc	$45570$	$2$	45570.a	1.a	$1$	$6$	$6$	$363.878$	6.6.683964128.1	None	✓	?				$-1$		$-6$	$6$	$-6$	$0$	$+$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.gd	$45570$	$2$	45570.a	1.a	$1$	$6$	$6$	$363.878$	6.6.31542512.1	None	✓	?				$-1$		$6$	$-6$	$-6$	$0$	$-$	$+$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.ge	$45570$	$2$	45570.a	1.a	$1$	$6$	$6$	$363.878$	6.6.66701312.1	None	✓	?				$-1$		$6$	$-6$	$6$	$0$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.gf	$45570$	$2$	45570.a	1.a	$1$	$6$	$6$	$363.878$	6.6.66701312.1	None	✓	?	✓			$-1$		$6$	$6$	$-6$	$0$	$-$	$-$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.gg	$45570$	$2$	45570.a	1.a	$1$	$6$	$6$	$363.878$	6.6.31542512.1	None	✓	?	✓			$-1$		$6$	$6$	$6$	$0$	$-$	$-$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.gh	$45570$	$2$	45570.a	1.a	$1$	$7$	$7$	$363.878$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?				$-1$		$-7$	$-7$	$-7$	$0$	$+$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.gi	$45570$	$2$	45570.a	1.a	$1$	$7$	$7$	$363.878$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?				$-1$		$-7$	$7$	$7$	$0$	$+$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.gj	$45570$	$2$	45570.a	1.a	$1$	$7$	$7$	$363.878$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?				$-1$		$7$	$-7$	$-7$	$0$	$-$	$+$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.gk	$45570$	$2$	45570.a	1.a	$1$	$7$	$7$	$363.878$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?	✓			$-1$		$7$	$-7$	$7$	$0$	$-$	$+$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.gl	$45570$	$2$	45570.a	1.a	$1$	$7$	$7$	$363.878$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?				$-1$		$7$	$7$	$-7$	$0$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.gm	$45570$	$2$	45570.a	1.a	$1$	$7$	$7$	$363.878$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	✓	?				$-1$		$7$	$7$	$7$	$0$	$-$	$-$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.gn	$45570$	$2$	45570.a	1.a	$1$	$8$	$8$	$363.878$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$-8$	$-8$	$-8$	$0$	$+$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.go	$45570$	$2$	45570.a	1.a	$1$	$8$	$8$	$363.878$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$-8$	$-8$	$-8$	$0$	$+$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.gp	$45570$	$2$	45570.a	1.a	$1$	$8$	$8$	$363.878$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$-8$	$8$	$8$	$0$	$+$	$-$	$-$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.gq	$45570$	$2$	45570.a	1.a	$1$	$8$	$8$	$363.878$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$-8$	$8$	$8$	$0$	$+$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.gr	$45570$	$2$	45570.a	1.a	$1$	$8$	$8$	$363.878$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$8$	$-8$	$-8$	$0$	$-$	$+$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.gs	$45570$	$2$	45570.a	1.a	$1$	$8$	$8$	$363.878$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$8$	$-8$	$8$	$0$	$-$	$+$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.gt	$45570$	$2$	45570.a	1.a	$1$	$8$	$8$	$363.878$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?	✓			$-1$		$8$	$8$	$-8$	$0$	$-$	$-$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.gu	$45570$	$2$	45570.a	1.a	$1$	$8$	$8$	$363.878$	$\mathbb{Q}[x]/(x^{8} - \cdots)$	None	✓	?				$-1$		$8$	$8$	$8$	$0$	$-$	$-$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.gv	$45570$	$2$	45570.a	1.a	$1$	$9$	$9$	$363.878$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?	✓			$-1$		$-9$	$-9$	$9$	$0$	$+$	$+$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.gw	$45570$	$2$	45570.a	1.a	$1$	$9$	$9$	$363.878$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?	✓			$-1$		$-9$	$-9$	$9$	$0$	$+$	$+$	$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.gx	$45570$	$2$	45570.a	1.a	$1$	$9$	$9$	$363.878$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$-9$	$9$	$-9$	$0$	$+$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.gy	$45570$	$2$	45570.a	1.a	$1$	$9$	$9$	$363.878$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$-9$	$9$	$-9$	$0$	$+$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.gz	$45570$	$2$	45570.a	1.a	$1$	$9$	$9$	$363.878$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?	✓			$-1$		$9$	$-9$	$-9$	$0$	$-$	$+$	$+$	$-$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.ha	$45570$	$2$	45570.a	1.a	$1$	$9$	$9$	$363.878$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?	✓			$-1$		$9$	$-9$	$9$	$0$	$-$	$+$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.hb	$45570$	$2$	45570.a	1.a	$1$	$9$	$9$	$363.878$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$9$	$9$	$-9$	$0$	$-$	$-$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.hc	$45570$	$2$	45570.a	1.a	$1$	$9$	$9$	$363.878$	$\mathbb{Q}[x]/(x^{9} - \cdots)$	None	✓	?				$-1$		$9$	$9$	$9$	$0$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.hd	$45570$	$2$	45570.a	1.a	$1$	$10$	$10$	$363.878$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?	✓			$-1$		$-10$	$-10$	$-10$	$0$	$+$	$+$	$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.he	$45570$	$2$	45570.a	1.a	$1$	$10$	$10$	$363.878$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$-10$	$-10$	$-10$	$0$	$+$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.hf	$45570$	$2$	45570.a	1.a	$1$	$10$	$10$	$363.878$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$-10$	$10$	$10$	$0$	$+$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.hg	$45570$	$2$	45570.a	1.a	$1$	$10$	$10$	$363.878$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?	✓			$-1$		$-10$	$10$	$10$	$0$	$+$	$-$	$-$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.hh	$45570$	$2$	45570.a	1.a	$1$	$10$	$10$	$363.878$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?				$-1$		$10$	$-10$	$-10$	$0$	$-$	$+$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.hi	$45570$	$2$	45570.a	1.a	$1$	$10$	$10$	$363.878$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	?	✓			$-1$		$10$	$10$	$10$	$0$	$-$	$-$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.hj	$45570$	$2$	45570.a	1.a	$1$	$11$	$11$	$363.878$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	?	✓			$-1$		$-11$	$-11$	$-11$	$0$	$+$	$+$	$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.hk	$45570$	$2$	45570.a	1.a	$1$	$11$	$11$	$363.878$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	?				$-1$		$-11$	$-11$	$11$	$0$	$+$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.hl	$45570$	$2$	45570.a	1.a	$1$	$11$	$11$	$363.878$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	?	✓			$-1$		$-11$	$11$	$-11$	$0$	$+$	$-$	$+$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.hm	$45570$	$2$	45570.a	1.a	$1$	$11$	$11$	$363.878$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	None	✓	?				$-1$		$-11$	$11$	$11$	$0$	$+$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.hn	$45570$	$2$	45570.a	1.a	$1$	$12$	$12$	$363.878$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?	✓			$-1$		$-12$	$-12$	$12$	$0$	$+$	$+$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.ho	$45570$	$2$	45570.a	1.a	$1$	$12$	$12$	$363.878$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?	✓			$-1$		$-12$	$12$	$-12$	$0$	$+$	$-$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.hp	$45570$	$2$	45570.a	1.a	$1$	$12$	$12$	$363.878$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?	✓			$-1$		$12$	$-12$	$12$	$0$	$-$	$+$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.hq	$45570$	$2$	45570.a	1.a	$1$	$12$	$12$	$363.878$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	✓	?	✓			$-1$		$12$	$12$	$-12$	$0$	$-$	$-$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.hr	$45570$	$2$	45570.a	1.a	$1$	$13$	$13$	$363.878$	$\mathbb{Q}[x]/(x^{13} - \cdots)$	None	✓	?	✓			$-1$		$13$	$-13$	$-13$	$0$	$-$	$+$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.hs	$45570$	$2$	45570.a	1.a	$1$	$13$	$13$	$363.878$	$\mathbb{Q}[x]/(x^{13} - \cdots)$	None	✓	?	✓			$-1$		$13$	$13$	$13$	$0$	$-$	$-$	$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.ht	$45570$	$2$	45570.a	1.a	$1$	$14$	$14$	$363.878$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None	✓	?	✓			$-1$		$-14$	$-14$	$-14$	$0$	$+$	$+$	$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.hu	$45570$	$2$	45570.a	1.a	$1$	$14$	$14$	$363.878$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None	✓	?	✓			$-1$		$-14$	$14$	$14$	$0$	$+$	$-$	$-$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.hv	$45570$	$2$	45570.a	1.a	$1$	$16$	$16$	$363.878$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	?	✓			$-1$		$-16$	$-16$	$-16$	$0$	$+$	$+$	$+$	$+$	$+$	$+$		$\mathrm{SU}(2)$
45570.2.a.hw	$45570$	$2$	45570.a	1.a	$1$	$16$	$16$	$363.878$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None	✓	?	✓			$-1$		$-16$	$16$	$16$	$0$	$+$	$-$	$-$	$+$	$-$	$-$		$\mathrm{SU}(2)$
45570.2.a.hx	$45570$	$2$	45570.a	1.a	$1$	$18$	$18$	$363.878$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	?	✓			$-1$		$-18$	$-18$	$18$	$0$	$+$	$+$	$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.hy	$45570$	$2$	45570.a	1.a	$1$	$18$	$18$	$363.878$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	?	✓			$-1$		$-18$	$18$	$-18$	$0$	$+$	$-$	$+$	$+$	$+$	$-$		$\mathrm{SU}(2)$
45570.2.a.hz	$45570$	$2$	45570.a	1.a	$1$	$18$	$18$	$363.878$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	?	✓			$-1$		$18$	$-18$	$-18$	$0$	$-$	$+$	$+$	$+$	$-$	$+$		$\mathrm{SU}(2)$
45570.2.a.ia	$45570$	$2$	45570.a	1.a	$1$	$18$	$18$	$363.878$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	✓	?	✓			$-1$		$18$	$18$	$18$	$0$	$-$	$-$	$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$

Decomposition of $S_{2}^{\mathrm{old}}(\Gamma_0(45570))$ into lower level spaces

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 45570 = 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	45570.a (trivial)
Character field:			\(\Q\)
Newform subspaces:			\( 209 \)
Sturm bound:			\(21504\)

\(2\)	\(3\)	\(5\)	\(7\)	\(31\)	Fricke	Total			Cusp			Eisenstein
\(2\)	\(3\)	\(5\)	\(7\)	\(31\)	Fricke	All	New	Old	All	New	Old	All	New	Old
\(+\)	\(+\)	\(+\)	\(+\)	\(+\)	\(+\)	\(320\)	\(25\)	\(295\)	\(317\)	\(25\)	\(292\)	\(3\)	\(0\)	\(3\)
\(+\)	\(+\)	\(+\)	\(+\)	\(-\)	\(-\)	\(348\)	\(24\)	\(324\)	\(344\)	\(24\)	\(320\)	\(4\)	\(0\)	\(4\)
\(+\)	\(+\)	\(+\)	\(-\)	\(+\)	\(-\)	\(353\)	\(27\)	\(326\)	\(349\)	\(27\)	\(322\)	\(4\)	\(0\)	\(4\)
\(+\)	\(+\)	\(+\)	\(-\)	\(-\)	\(+\)	\(330\)	\(27\)	\(303\)	\(326\)	\(27\)	\(299\)	\(4\)	\(0\)	\(4\)
\(+\)	\(+\)	\(-\)	\(+\)	\(+\)	\(-\)	\(348\)	\(23\)	\(325\)	\(344\)	\(23\)	\(321\)	\(4\)	\(0\)	\(4\)
\(+\)	\(+\)	\(-\)	\(+\)	\(-\)	\(+\)	\(332\)	\(28\)	\(304\)	\(328\)	\(28\)	\(300\)	\(4\)	\(0\)	\(4\)
\(+\)	\(+\)	\(-\)	\(-\)	\(+\)	\(+\)	\(330\)	\(27\)	\(303\)	\(326\)	\(27\)	\(299\)	\(4\)	\(0\)	\(4\)
\(+\)	\(+\)	\(-\)	\(-\)	\(-\)	\(-\)	\(341\)	\(24\)	\(317\)	\(337\)	\(24\)	\(313\)	\(4\)	\(0\)	\(4\)
\(+\)	\(-\)	\(+\)	\(+\)	\(+\)	\(-\)	\(344\)	\(28\)	\(316\)	\(340\)	\(28\)	\(312\)	\(4\)	\(0\)	\(4\)
\(+\)	\(-\)	\(+\)	\(+\)	\(-\)	\(+\)	\(340\)	\(21\)	\(319\)	\(336\)	\(21\)	\(315\)	\(4\)	\(0\)	\(4\)
\(+\)	\(-\)	\(+\)	\(-\)	\(+\)	\(+\)	\(335\)	\(24\)	\(311\)	\(331\)	\(24\)	\(307\)	\(4\)	\(0\)	\(4\)
\(+\)	\(-\)	\(+\)	\(-\)	\(-\)	\(-\)	\(334\)	\(30\)	\(304\)	\(330\)	\(30\)	\(300\)	\(4\)	\(0\)	\(4\)
\(+\)	\(-\)	\(-\)	\(+\)	\(+\)	\(+\)	\(340\)	\(24\)	\(316\)	\(336\)	\(24\)	\(312\)	\(4\)	\(0\)	\(4\)
\(+\)	\(-\)	\(-\)	\(+\)	\(-\)	\(-\)	\(332\)	\(27\)	\(305\)	\(328\)	\(27\)	\(301\)	\(4\)	\(0\)	\(4\)
\(+\)	\(-\)	\(-\)	\(-\)	\(+\)	\(-\)	\(334\)	\(27\)	\(307\)	\(330\)	\(27\)	\(303\)	\(4\)	\(0\)	\(4\)
\(+\)	\(-\)	\(-\)	\(-\)	\(-\)	\(+\)	\(347\)	\(24\)	\(323\)	\(343\)	\(24\)	\(319\)	\(4\)	\(0\)	\(4\)
\(-\)	\(+\)	\(+\)	\(+\)	\(+\)	\(-\)	\(336\)	\(25\)	\(311\)	\(332\)	\(25\)	\(307\)	\(4\)	\(0\)	\(4\)
\(-\)	\(+\)	\(+\)	\(+\)	\(-\)	\(+\)	\(340\)	\(26\)	\(314\)	\(336\)	\(26\)	\(310\)	\(4\)	\(0\)	\(4\)
\(-\)	\(+\)	\(+\)	\(-\)	\(+\)	\(+\)	\(341\)	\(24\)	\(317\)	\(337\)	\(24\)	\(313\)	\(4\)	\(0\)	\(4\)
\(-\)	\(+\)	\(+\)	\(-\)	\(-\)	\(-\)	\(336\)	\(27\)	\(309\)	\(332\)	\(27\)	\(305\)	\(4\)	\(0\)	\(4\)
\(-\)	\(+\)	\(-\)	\(+\)	\(+\)	\(+\)	\(348\)	\(23\)	\(325\)	\(344\)	\(23\)	\(321\)	\(4\)	\(0\)	\(4\)
\(-\)	\(+\)	\(-\)	\(+\)	\(-\)	\(-\)	\(332\)	\(26\)	\(306\)	\(328\)	\(26\)	\(302\)	\(4\)	\(0\)	\(4\)
\(-\)	\(+\)	\(-\)	\(-\)	\(+\)	\(-\)	\(328\)	\(30\)	\(298\)	\(324\)	\(30\)	\(294\)	\(4\)	\(0\)	\(4\)
\(-\)	\(+\)	\(-\)	\(-\)	\(-\)	\(+\)	\(345\)	\(24\)	\(321\)	\(341\)	\(24\)	\(317\)	\(4\)	\(0\)	\(4\)
\(-\)	\(-\)	\(+\)	\(+\)	\(+\)	\(+\)	\(328\)	\(22\)	\(306\)	\(324\)	\(22\)	\(302\)	\(4\)	\(0\)	\(4\)
\(-\)	\(-\)	\(+\)	\(+\)	\(-\)	\(-\)	\(348\)	\(29\)	\(319\)	\(344\)	\(29\)	\(315\)	\(4\)	\(0\)	\(4\)
\(-\)	\(-\)	\(+\)	\(-\)	\(+\)	\(-\)	\(347\)	\(30\)	\(317\)	\(343\)	\(30\)	\(313\)	\(4\)	\(0\)	\(4\)
\(-\)	\(-\)	\(+\)	\(-\)	\(-\)	\(+\)	\(328\)	\(21\)	\(307\)	\(324\)	\(21\)	\(303\)	\(4\)	\(0\)	\(4\)
\(-\)	\(-\)	\(-\)	\(+\)	\(+\)	\(-\)	\(340\)	\(30\)	\(310\)	\(336\)	\(30\)	\(306\)	\(4\)	\(0\)	\(4\)
\(-\)	\(-\)	\(-\)	\(+\)	\(-\)	\(+\)	\(332\)	\(19\)	\(313\)	\(328\)	\(19\)	\(309\)	\(4\)	\(0\)	\(4\)
\(-\)	\(-\)	\(-\)	\(-\)	\(+\)	\(+\)	\(336\)	\(21\)	\(315\)	\(332\)	\(21\)	\(311\)	\(4\)	\(0\)	\(4\)
\(-\)	\(-\)	\(-\)	\(-\)	\(-\)	\(-\)	\(343\)	\(33\)	\(310\)	\(339\)	\(33\)	\(306\)	\(4\)	\(0\)	\(4\)
Plus space					\(+\)	\(5372\)	\(380\)	\(4992\)	\(5309\)	\(380\)	\(4929\)	\(63\)	\(0\)	\(63\)
Minus space					\(-\)	\(5444\)	\(440\)	\(5004\)	\(5380\)	\(440\)	\(4940\)	\(64\)	\(0\)	\(64\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

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Defining parameters

Dimensions

Trace form

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_0(45570))\) into newform subspaces

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(45570))\) into lower level spaces

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	45570.2.a
Level	$45570$
Weight	$2$
Character orbit	45570.a
Rep. character	$\chi_{45570}(1,\cdot)$
Character field	$\Q$
Dimension	$820$
Newform subspaces	$209$
Sturm bound	$21504$