LMFDB - Embedded newform 230.2.l.a.153.11

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [230,2,Mod(7,230)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("230.7"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(230, base_ring=CyclotomicField(44)) chi = DirichletCharacter(H, H._module([11, 38])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			153.11
Character	$\chi$	$=$	230.153
Dual form			230.2.l.a.227.11

$q$-expansion

comment:q-expansion

sage:f.q_expansion() # note that sage often uses an isomorphic number field

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.599278 + 0.800541i) q^{2} +(0.194360 - 0.521099i) q^{3} +(-0.281733 + 0.959493i) q^{4} +(0.398761 - 2.20022i) q^{5} +(0.533637 - 0.156690i) q^{6} +(0.111632 + 0.513165i) q^{7} +(-0.936950 + 0.349464i) q^{8} +(2.03348 + 1.76202i) q^{9} +(2.00034 - 0.999321i) q^{10} +(5.19978 - 0.747615i) q^{11} +(0.445233 + 0.333298i) q^{12} +(1.28745 + 0.280068i) q^{13} +(-0.343911 + 0.396895i) q^{14} +(-1.06903 - 0.635430i) q^{15} +(-0.841254 - 0.540641i) q^{16} +(-0.927505 - 0.506456i) q^{17} +(-0.191951 + 2.68382i) q^{18} +(-7.10873 - 2.08731i) q^{19} +(1.99876 + 1.00248i) q^{20} +(0.289107 + 0.0415673i) q^{21} +(3.71461 + 3.71461i) q^{22} +(-4.78960 - 0.244437i) q^{23} +0.556166i q^{24} +(-4.68198 - 1.75473i) q^{25} +(0.547335 + 1.19850i) q^{26} +(2.77782 - 1.51680i) q^{27} +(-0.523829 - 0.0374650i) q^{28} +(2.19483 + 7.47492i) q^{29} +(-0.131959 - 1.23660i) q^{30} +(-0.970886 + 2.12594i) q^{31} +(-0.0713392 - 0.997452i) q^{32} +(0.621047 - 2.85491i) q^{33} +(-0.150394 - 1.04601i) q^{34} +(1.17359 - 0.0409855i) q^{35} +(-2.26354 + 1.45469i) q^{36} +(0.636324 - 0.0455108i) q^{37} +(-2.58912 - 6.94171i) q^{38} +(0.396172 - 0.616456i) q^{39} +(0.395280 + 2.20085i) q^{40} +(-4.77453 - 5.51010i) q^{41} +(0.139979 + 0.256352i) q^{42} +(-8.96907 - 3.34529i) q^{43} +(-0.747615 + 5.19978i) q^{44} +(4.68772 - 3.77149i) q^{45} +(-2.67462 - 3.98076i) q^{46} +(-8.00971 + 8.00971i) q^{47} +(-0.445233 + 0.333298i) q^{48} +(6.11655 - 2.79333i) q^{49} +(-1.40107 - 4.79969i) q^{50} +(-0.444184 + 0.384887i) q^{51} +(-0.631441 + 1.15640i) q^{52} +(1.37435 - 0.298972i) q^{53} +(2.87895 + 1.31477i) q^{54} +(0.428549 - 11.7388i) q^{55} +(-0.283927 - 0.441798i) q^{56} +(-2.46935 + 3.29866i) q^{57} +(-4.66867 + 6.23661i) q^{58} +(2.55877 + 3.98152i) q^{59} +(0.910872 - 0.846707i) q^{60} +(8.94703 + 4.08597i) q^{61} +(-2.28374 + 0.496796i) q^{62} +(-0.677206 + 1.24021i) q^{63} +(0.755750 - 0.654861i) q^{64} +(1.12960 - 2.72100i) q^{65} +(2.65765 - 1.21371i) q^{66} +(-3.04461 + 2.27917i) q^{67} +(0.747249 - 0.747249i) q^{68} +(-1.05828 + 2.44835i) q^{69} +(0.736119 + 0.914948i) q^{70} +(-1.06605 + 7.41456i) q^{71} +(-2.52103 - 0.940296i) q^{72} +(-5.95574 - 10.9071i) q^{73} +(0.417768 + 0.482130i) q^{74} +(-1.82438 + 2.09873i) q^{75} +(4.00552 - 6.23271i) q^{76} +(0.964113 + 2.58489i) q^{77} +(0.730916 - 0.0522761i) q^{78} +(5.14789 - 3.30835i) q^{79} +(-1.52499 + 1.63536i) q^{80} +(0.898263 + 6.24755i) q^{81} +(1.54979 - 7.12428i) q^{82} +(-0.308617 - 4.31503i) q^{83} +(-0.121334 + 0.265685i) q^{84} +(-1.48417 + 1.83876i) q^{85} +(-2.69692 - 9.18487i) q^{86} +(4.32176 + 0.309099i) q^{87} +(-4.61066 + 2.51761i) q^{88} +(-3.33441 - 7.30135i) q^{89} +(5.82847 + 1.49254i) q^{90} +0.691940i q^{91} +(1.58392 - 4.52672i) q^{92} +(0.919126 + 0.919126i) q^{93} +(-11.2121 - 1.61206i) q^{94} +(-7.42724 + 14.8085i) q^{95} +(-0.533637 - 0.156690i) q^{96} +(0.418287 - 5.84842i) q^{97} +(5.90169 + 3.22257i) q^{98} +(11.8910 + 7.64185i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{17}{22}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.599278	+	0.800541i	0.423753	+	0.566068i
$2$	0.599278	+	0.800541i	0.423753	+	0.566068i
$3$	0.194360	−	0.521099i	0.112214	−	0.300857i	−0.868688	−	0.495359i	$-0.835036\pi$
$3$	0.194360	−	0.521099i	0.112214	−	0.300857i	0.980902	+	0.194502i	$0.0623092\pi$
$4$	−0.281733	+	0.959493i	−0.140866	+	0.479746i
$5$	0.398761	−	2.20022i	0.178332	−	0.983970i
$5$	0.398761	−	2.20022i	0.178332	−	0.983970i
$6$	0.533637	−	0.156690i	0.217856	−	0.0639684i
$7$	0.111632	+	0.513165i	0.0421930	+	0.193958i	0.993419	−	0.114537i	$-0.0365384\pi$
$7$	0.111632	+	0.513165i	0.0421930	+	0.193958i	−0.951226	+	0.308495i	$0.900175\pi$
$8$	−0.936950	+	0.349464i	−0.331262	+	0.123554i
$9$	2.03348	+	1.76202i	0.677827	+	0.587340i
$10$	2.00034	−	0.999321i	0.632563	−	0.316013i
$11$	5.19978	−	0.747615i	1.56779	−	0.225414i	0.697002	−	0.717070i	$-0.254517\pi$
$11$	5.19978	−	0.747615i	1.56779	−	0.225414i	0.870790	+	0.491655i	$0.163608\pi$
$12$	0.445233	+	0.333298i	0.128528	+	0.0962147i
$13$	1.28745	+	0.280068i	0.357075	+	0.0776769i	0.387525	−	0.921859i	$-0.373330\pi$
$13$	1.28745	+	0.280068i	0.357075	+	0.0776769i	−0.0304495	+	0.999536i	$0.509694\pi$
$14$	−0.343911	+	0.396895i	−0.0919141	+	0.106075i
$15$	−1.06903	−	0.635430i	−0.276023	−	0.164067i
$16$	−0.841254	−	0.540641i	−0.210313	−	0.135160i
$17$	−0.927505	−	0.506456i	−0.224953	−	0.122834i	0.362821	−	0.931859i	$-0.381814\pi$
$17$	−0.927505	−	0.506456i	−0.224953	−	0.122834i	−0.587774	+	0.809025i	$0.699996\pi$
$18$	−0.191951	+	2.68382i	−0.0452433	+	0.632583i
$19$	−7.10873	−	2.08731i	−1.63085	−	0.478862i	−0.666948	−	0.745104i	$-0.732400\pi$
$19$	−7.10873	−	2.08731i	−1.63085	−	0.478862i	−0.963906	+	0.266243i	$0.914218\pi$
$20$	1.99876	+	1.00248i	0.446935	+	0.224162i
$21$	0.289107	+	0.0415673i	0.0630883	+	0.00907072i
$22$	3.71461	+	3.71461i	0.791957	+	0.791957i
$23$	−4.78960	−	0.244437i	−0.998700	−	0.0509687i
$23$	−4.78960	−	0.244437i	−0.998700	−	0.0509687i
$24$			0.556166i			0.113527i
$25$	−4.68198	−	1.75473i	−0.936396	−	0.350946i
$26$	0.547335	+	1.19850i	0.107341	+	0.235045i
$27$	2.77782	−	1.51680i	0.534591	−	0.291909i
$28$	−0.523829	−	0.0374650i	−0.0989943	−	0.00708021i
$29$	2.19483	+	7.47492i	0.407571	+	1.38806i	0.866319	+	0.499492i	$0.166480\pi$
$29$	2.19483	+	7.47492i	0.407571	+	1.38806i	−0.458748	+	0.888566i	$0.651702\pi$
$30$	−0.131959	−	1.23660i	−0.0240924	−	0.225772i
$31$	−0.970886	+	2.12594i	−0.174376	+	0.381831i	−0.976560	−	0.215247i	$-0.930944\pi$
$31$	−0.970886	+	2.12594i	−0.174376	+	0.381831i	0.802183	+	0.597078i	$0.203672\pi$
$32$	−0.0713392	−	0.997452i	−0.0126111	−	0.176326i
$33$	0.621047	−	2.85491i	0.108110	−	0.496975i
$34$	−0.150394	−	1.04601i	−0.0257924	−	0.179390i
$35$	1.17359	−	0.0409855i	0.198373	−	0.00692782i
$36$	−2.26354	+	1.45469i	−0.377257	+	0.242449i
$37$	0.636324	−	0.0455108i	0.104611	−	0.00748193i	−0.0189355	−	0.999821i	$-0.506028\pi$
$37$	0.636324	−	0.0455108i	0.104611	−	0.00748193i	0.123547	+	0.992339i	$0.460573\pi$
$38$	−2.58912	−	6.94171i	−0.420011	−	1.12609i
$39$	0.396172	−	0.616456i	0.0634384	−	0.0987120i
$40$	0.395280	+	2.20085i	0.0624993	+	0.347985i
$41$	−4.77453	−	5.51010i	−0.745656	−	0.860533i	0.248484	−	0.968636i	$-0.420068\pi$
$41$	−4.77453	−	5.51010i	−0.745656	−	0.860533i	−0.994140	+	0.108103i	$0.965522\pi$
$42$	0.139979	+	0.256352i	0.0215992	+	0.0395560i
$43$	−8.96907	−	3.34529i	−1.36777	−	0.510152i	−0.445010	−	0.895526i	$-0.646800\pi$
$43$	−8.96907	−	3.34529i	−1.36777	−	0.510152i	−0.922761	+	0.385374i	$0.874072\pi$
$44$	−0.747615	+	5.19978i	−0.112707	+	0.783896i
$45$	4.68772	−	3.77149i	0.698803	−	0.562220i
$46$	−2.67462	−	3.98076i	−0.394351	−	0.586931i
$47$	−8.00971	+	8.00971i	−1.16834	+	1.16834i	−0.185736	+	0.982600i	$0.559467\pi$
$47$	−8.00971	+	8.00971i	−1.16834	+	1.16834i	−0.982600	+	0.185736i	$0.940533\pi$
$48$	−0.445233	+	0.333298i	−0.0642639	+	0.0481074i
$49$	6.11655	−	2.79333i	0.873792	−	0.399048i
$50$	−1.40107	−	4.79969i	−0.198141	−	0.678778i
$51$	−0.444184	+	0.384887i	−0.0621982	+	0.0538950i
$52$	−0.631441	+	1.15640i	−0.0875651	+	0.160363i
$53$	1.37435	−	0.298972i	0.188782	−	0.0410670i	−0.117180	−	0.993111i	$-0.537386\pi$
$53$	1.37435	−	0.298972i	0.188782	−	0.0410670i	0.305962	+	0.952044i	$0.401022\pi$
$54$	2.87895	+	1.31477i	0.391775	+	0.178918i
$55$	0.428549	−	11.7388i	0.0577856	−	1.58286i
$56$	−0.283927	−	0.441798i	−0.0379413	−	0.0590378i
$57$	−2.46935	+	3.29866i	−0.327073	+	0.436918i
$58$	−4.66867	+	6.23661i	−0.613026	+	0.818907i
$59$	2.55877	+	3.98152i	0.333124	+	0.518350i	0.966897	−	0.255169i	$-0.0821310\pi$
$59$	2.55877	+	3.98152i	0.333124	+	0.518350i	−0.633773	+	0.773519i	$0.718495\pi$
$60$	0.910872	−	0.846707i	0.117593	−	0.109309i
$61$	8.94703	+	4.08597i	1.14555	+	0.523155i	0.895493	−	0.445076i	$-0.146823\pi$
$61$	8.94703	+	4.08597i	1.14555	+	0.523155i	0.250057	+	0.968231i	$0.419551\pi$
$62$	−2.28374	+	0.496796i	−0.290035	+	0.0630932i
$63$	−0.677206	+	1.24021i	−0.0853199	+	0.156252i
$64$	0.755750	−	0.654861i	0.0944687	−	0.0818576i
$65$	1.12960	−	2.72100i	0.140110	−	0.337499i
$66$	2.65765	−	1.21371i	0.327134	−	0.149397i
$67$	−3.04461	+	2.27917i	−0.371959	+	0.278445i	−0.768861	−	0.639416i	$-0.779176\pi$
$67$	−3.04461	+	2.27917i	−0.371959	+	0.278445i	0.396902	+	0.917861i	$0.370085\pi$
$68$	0.747249	−	0.747249i	0.0906173	−	0.0906173i
$69$	−1.05828	+	2.44835i	−0.127402	+	0.294746i
$70$	0.736119	+	0.914948i	0.0879830	+	0.109357i
$71$	−1.06605	+	7.41456i	−0.126517	+	0.879947i	0.823404	+	0.567456i	$0.192072\pi$
$71$	−1.06605	+	7.41456i	−0.126517	+	0.879947i	−0.949921	+	0.312491i	$0.898837\pi$
$72$	−2.52103	−	0.940296i	−0.297106	−	0.110815i
$73$	−5.95574	−	10.9071i	−0.697066	−	1.27658i	−0.950949	−	0.309347i	$-0.899890\pi$
$73$	−5.95574	−	10.9071i	−0.697066	−	1.27658i	0.253883	−	0.967235i	$-0.418292\pi$
$74$	0.417768	+	0.482130i	0.0485645	+	0.0560465i
$75$	−1.82438	+	2.09873i	−0.210661	+	0.242340i
$76$	4.00552	−	6.23271i	0.459465	−	0.714941i
$77$	0.964113	+	2.58489i	0.109871	+	0.294575i
$78$	0.730916	−	0.0522761i	0.0827599	−	0.00591911i
$79$	5.14789	−	3.30835i	0.579183	−	0.372218i	−0.218007	−	0.975947i	$-0.569955\pi$
$79$	5.14789	−	3.30835i	0.579183	−	0.372218i	0.797190	+	0.603729i	$0.206319\pi$
$80$	−1.52499	+	1.63536i	−0.170499	+	0.182839i
$81$	0.898263	+	6.24755i	0.0998069	+	0.694173i
$82$	1.54979	−	7.12428i	0.171146	−	0.786745i
$83$	−0.308617	−	4.31503i	−0.0338751	−	0.473636i	−0.985869	−	0.167519i	$-0.946425\pi$
$83$	−0.308617	−	4.31503i	−0.0338751	−	0.473636i	0.951994	−	0.306117i	$-0.0990300\pi$
$84$	−0.121334	+	0.265685i	−0.0132387	+	0.0289886i
$85$	−1.48417	+	1.83876i	−0.160981	+	0.199442i
$86$	−2.69692	−	9.18487i	−0.290816	−	0.990430i
$87$	4.32176	+	0.309099i	0.463342	+	0.0331388i
$88$	−4.61066	+	2.51761i	−0.491498	+	0.268378i
$89$	−3.33441	−	7.30135i	−0.353447	−	0.773942i	−0.999939	−	0.0110208i	$-0.996492\pi$
$89$	−3.33441	−	7.30135i	−0.353447	−	0.773942i	0.646492	−	0.762921i	$-0.276235\pi$
$90$	5.82847	+	1.49254i	0.614375	+	0.157328i
$91$			0.691940i			0.0725350i
$92$	1.58392	−	4.52672i	0.165135	−	0.471943i
$93$	0.919126	+	0.919126i	0.0953089	+	0.0953089i
$94$	−11.2121	−	1.61206i	−1.15644	−	0.166272i
$95$	−7.42724	+	14.8085i	−0.762019	+	1.51932i
$96$	−0.533637	−	0.156690i	−0.0544641	−	0.0159921i
$97$	0.418287	−	5.84842i	0.0424707	−	0.593817i	−0.931002	−	0.365014i	$-0.881064\pi$
$97$	0.418287	−	5.84842i	0.0424707	−	0.593817i	0.973473	−	0.228803i	$-0.0734813\pi$
$98$	5.90169	+	3.22257i	0.596161	+	0.325528i
$99$	11.8910	+	7.64185i	1.19509	+	0.768035i
$100$	3.00272	−	3.99796i	0.300272	−	0.399796i
$101$	−4.75693	+	5.48979i	−0.473332	+	0.546254i	−0.941335	−	0.337472i	$-0.890428\pi$
$101$	−4.75693	+	5.48979i	−0.473332	+	0.546254i	0.468003	+	0.883727i	$0.344973\pi$
$102$	−0.574308	−	0.124933i	−0.0568649	−	0.0123702i
$103$	0.861720	+	0.645076i	0.0849078	+	0.0635612i	0.640888	−	0.767634i	$-0.278566\pi$
$103$	0.861720	+	0.645076i	0.0849078	+	0.0635612i	−0.555980	+	0.831195i	$0.687657\pi$
$104$	−1.30415	+	0.187509i	−0.127883	+	0.0183867i
$105$	0.206742	−	0.619524i	0.0201760	−	0.0604594i
$106$	1.06296	+	0.921059i	0.103244	+	0.0894611i
$107$	1.97923	−	0.738215i	0.191340	−	0.0713660i	−0.251968	−	0.967736i	$-0.581078\pi$
$107$	1.97923	−	0.738215i	0.191340	−	0.0713660i	0.443307	+	0.896370i	$0.353805\pi$
$108$	0.672761	+	3.09263i	0.0647364	+	0.297589i
$109$	13.4556	−	3.95091i	1.28881	−	0.378429i	0.435668	−	0.900107i	$-0.356512\pi$
$109$	13.4556	−	3.95091i	1.28881	−	0.378429i	0.853142	+	0.521678i	$0.174694\pi$
$110$	9.65421	−	6.69173i	0.920493	−	0.638031i
$111$	0.0999602	−	0.340433i	0.00948781	−	0.0323125i
$112$	0.183527	−	0.492055i	0.0173417	−	0.0464948i
$113$	12.3386	+	16.4825i	1.16072	+	1.55054i	0.779912	+	0.625889i	$0.215264\pi$
$113$	12.3386	+	16.4825i	1.16072	+	1.55054i	0.380810	+	0.924653i	$0.375645\pi$
$114$	−4.12054			−0.385924
$115$	−2.44772	+	10.4407i	−0.228251	+	0.973602i
$116$	−7.79049			−0.723329
$117$	2.12452	+	2.83803i	0.196412	+	0.262376i
$118$	−1.65396	+	4.43444i	−0.152259	+	0.408223i
$119$	0.156356	−	0.532500i	0.0143331	−	0.0488142i
$120$	1.22369	+	0.221777i	0.111707	+	0.0202454i
$121$	15.9243	−	4.67580i	1.44767	−	0.425073i
$122$	2.09077	+	9.61109i	0.189289	+	0.870148i
$123$	−3.79928	+	1.41706i	−0.342570	+	0.127772i
$124$	−1.76630	−	1.53051i	−0.158618	−	0.137443i
$125$	−5.72779	+	9.60169i	−0.512309	+	0.858801i
$126$	−1.39867	+	0.201099i	−0.124604	+	0.0179153i
$127$	−13.3222	−	9.97291i	−1.18216	−	0.884952i	−0.186915	−	0.982376i	$-0.559849\pi$
$127$	−13.3222	−	9.97291i	−1.18216	−	0.884952i	−0.995243	+	0.0974238i	$0.968940\pi$
$128$	0.977147	+	0.212565i	0.0863684	+	0.0187883i
$129$	−3.48646	+	4.02358i	−0.306965	+	0.354257i
$130$	2.85522	−	0.726346i	0.250419	−	0.0637048i
$131$	2.42557	+	1.55882i	0.211923	+	0.136195i	0.642297	−	0.766456i	$-0.277982\pi$
$131$	2.42557	+	1.55882i	0.211923	+	0.136195i	−0.430373	+	0.902651i	$0.641618\pi$
$132$	2.56429	+	1.40021i	0.223193	+	0.121873i
$133$	0.277572	−	3.88096i	0.0240685	−	0.336522i
$134$	−3.64914	−	1.07148i	−0.315237	−	0.0925620i
$135$	−2.22962	−	6.71667i	−0.191895	−	0.578079i
$136$	1.04601	+	0.150394i	0.0896949	+	0.0128962i
$137$	5.57895	+	5.57895i	0.476642	+	0.476642i	0.904056	−	0.427414i	$-0.140575\pi$
$137$	5.57895	+	5.57895i	0.476642	+	0.476642i	−0.427414	+	0.904056i	$0.640575\pi$
$138$	−2.59421	+	0.620041i	−0.220834	+	0.0527814i
$139$		−	3.74691i		−	0.317809i	−0.987294	−	0.158904i	$-0.949204\pi$
$139$		−	3.74691i		−	0.317809i	0.987294	−	0.158904i	$-0.0507962\pi$
$140$	−0.291314	+	1.13760i	−0.0246205	+	0.0961449i
$141$	2.61709	+	5.73062i	0.220398	+	0.482605i
$142$	−6.57453	+	3.58996i	−0.551722	+	0.301263i
$143$	6.90385	+	0.493773i	0.577329	+	0.0412914i
$144$	−0.758052	−	2.58169i	−0.0631710	−	0.215141i
$145$	17.3217	−	1.84842i	1.43849	−	0.153503i
$146$	5.16246	−	11.3042i	0.427248	−	0.935543i
$147$	−0.266792	−	3.73024i	−0.0220046	−	0.307665i
$148$	−0.135606	+	0.623370i	−0.0111467	+	0.0512407i
$149$	0.489978	+	3.40787i	0.0401406	+	0.279184i	0.999999	−	0.00130050i	$-0.000413964\pi$
$149$	0.489978	+	3.40787i	0.0401406	+	0.279184i	−0.959859	+	0.280484i	$0.909505\pi$
$150$	−2.77343	−	0.202770i	−0.226449	−	0.0165561i
$151$	−3.28379	+	2.11036i	−0.267231	+	0.171739i	−0.667393	−	0.744705i	$-0.732590\pi$
$151$	−3.28379	+	2.11036i	−0.267231	+	0.171739i	0.400163	+	0.916444i	$0.368954\pi$
$152$	7.38996	−	0.528540i	0.599405	−	0.0428703i
$153$	−0.993677	−	2.66415i	−0.0803340	−	0.215384i
$154$	−1.49154	+	2.32088i	−0.120191	+	0.187022i
$155$	4.29040	+	2.98391i	0.344613	+	0.239674i
$156$	0.479871	+	0.553800i	0.0384204	+	0.0443395i
$157$	−0.313333	−	0.573827i	−0.0250067	−	0.0457964i	0.864877	−	0.501984i	$-0.167396\pi$
$157$	−0.313333	−	0.573827i	−0.0250067	−	0.0457964i	−0.889884	+	0.456188i	$0.849215\pi$
$158$	5.73349	+	2.13848i	0.456132	+	0.170128i
$159$	0.111325	−	0.774282i	0.00882864	−	0.0614046i
$160$	−2.22307	−	0.240783i	−0.175749	−	0.0190356i
$161$	−0.409237	−	2.48514i	−0.0322524	−	0.195857i
$162$	−4.46312	+	4.46312i	−0.350655	+	0.350655i
$163$	−15.0620	+	11.2753i	−1.17975	+	0.883150i	−0.995024	−	0.0996395i	$-0.968231\pi$
$163$	−15.0620	+	11.2753i	−1.17975	+	0.883150i	−0.184727	+	0.982790i	$0.559140\pi$
$164$	6.63204	−	3.02875i	0.517875	−	0.236506i
$165$	−6.03378	−	2.50487i	−0.469729	−	0.195004i
$166$	3.26941	−	2.83296i	0.253756	−	0.219880i
$167$	2.46818	−	4.52013i	0.190993	−	0.349778i	−0.764581	−	0.644527i	$-0.777054\pi$
$167$	2.46818	−	4.52013i	0.190993	−	0.349778i	0.955575	+	0.294749i	$0.0952361\pi$
$168$	−0.285405	+	0.0620860i	−0.0220195	+	0.00479004i
$169$	−10.2461	−	4.67925i	−0.788163	−	0.359942i
$170$	−2.36144	−	0.0862092i	−0.181114	−	0.00661195i
$171$	−10.7776	−	16.7702i	−0.824181	−	1.28245i
$172$	5.73666	−	7.66328i	0.437416	−	0.584320i
$173$	13.2248	−	17.6662i	1.00546	−	1.34314i	0.0669983	−	0.997753i	$-0.478658\pi$
$173$	13.2248	−	17.6662i	1.00546	−	1.34314i	0.938461	−	0.345384i	$-0.112251\pi$
$174$	2.34249	+	3.64499i	0.177584	+	0.276326i
$175$	0.377806	−	2.59851i	0.0285595	−	0.196429i
$176$	−4.77852	−	2.18228i	−0.360195	−	0.164495i
$177$	2.57209	−	0.559524i	0.193330	−	0.0420564i
$178$	3.84679	−	7.04487i	0.288329	−	0.528036i
$179$	9.16886	−	7.94486i	0.685312	−	0.593827i	−0.241026	−	0.970519i	$-0.577484\pi$
$179$	9.16886	−	7.94486i	0.685312	−	0.593827i	0.926339	+	0.376692i	$0.122938\pi$
$180$	2.29803	+	5.56038i	0.171285	+	0.414446i
$181$	−14.1674	+	6.47003i	−1.05305	+	0.480913i	−0.865275	−	0.501298i	$-0.832856\pi$
$181$	−14.1674	+	6.47003i	−1.05305	+	0.480913i	−0.187779	+	0.982211i	$0.560129\pi$
$182$	−0.553927	+	0.414664i	−0.0410598	+	0.0307370i
$183$	3.86814	−	3.86814i	0.285941	−	0.285941i
$184$	4.57303	−	1.44477i	0.337129	−	0.106510i
$185$	0.153607	−	1.41820i	0.0112934	−	0.104268i
$186$	−0.184987	+	1.28661i	−0.0135639	+	0.0943388i
$187$	−5.20145	−	1.94004i	−0.380368	−	0.141870i
$188$	−5.42866	−	9.94185i	−0.395926	−	0.725084i
$189$	1.08847	+	1.25616i	0.0791742	+	0.0913719i
$190$	−16.3058	+	2.92857i	−1.18294	+	0.212461i
$191$	2.83595	−	4.41282i	0.205202	−	0.319301i	−0.723365	−	0.690466i	$-0.757405\pi$
$191$	2.83595	−	4.41282i	0.205202	−	0.319301i	0.928567	+	0.371166i	$0.121042\pi$
$192$	−0.194360	−	0.521099i	−0.0140267	−	0.0376071i
$193$	18.5637	−	1.32771i	1.33625	−	0.0955703i	0.615154	−	0.788407i	$-0.289094\pi$
$193$	18.5637	−	1.32771i	1.33625	−	0.0955703i	0.721094	+	0.692837i	$0.243639\pi$
$194$	4.93257	−	3.16997i	0.354138	−	0.227591i
$195$	−1.19836	−	1.11749i	−0.0858166	−	0.0800249i
$196$	0.956953	+	6.65576i	0.0683538	+	0.475411i
$197$	−3.79540	+	17.4472i	−0.270411	+	1.24306i	0.618795	+	0.785553i	$0.287621\pi$
$197$	−3.79540	+	17.4472i	−0.270411	+	1.24306i	−0.889206	+	0.457507i	$0.848742\pi$
$198$	1.00837	+	14.0988i	0.0716614	+	1.00196i
$199$	9.28417	−	20.3295i	0.658137	−	1.44112i	−0.226111	−	0.974102i	$-0.572601\pi$
$199$	9.28417	−	20.3295i	0.658137	−	1.44112i	0.884248	−	0.467018i	$-0.154672\pi$
$200$	4.99999	+	0.00790982i	0.353553	+	0.000559309i
$201$	0.595922	+	2.02952i	0.0420331	+	0.143152i
$202$	−7.24552	−	0.518210i	−0.509793	−	0.0364611i
$203$	−3.59085	+	1.96075i	−0.252029	+	0.137618i
$204$	−0.244156	−	0.534626i	−0.0170943	−	0.0374313i
$205$	−14.0273	+	8.30782i	−0.979713	+	0.580243i
$206$			1.07642i			0.0749979i
$207$	−9.30885	−	8.93643i	−0.647010	−	0.621125i
$208$	−0.931658	−	0.931658i	−0.0645988	−	0.0645988i
$209$	−38.5243	−	5.53896i	−2.66478	−	0.383138i
$210$	0.619851	−	0.205762i	0.0427738	−	0.0141989i
$211$	−7.94165	−	2.33188i	−0.546725	−	0.160533i	−0.00330619	−	0.999995i	$-0.501052\pi$
$211$	−7.94165	−	2.33188i	−0.546725	−	0.160533i	−0.543419	+	0.839461i	$0.682871\pi$
$212$	−0.100338	+	1.40291i	−0.00689126	+	0.0963524i
$213$	3.65652	+	1.99661i	0.250541	+	0.136806i
$214$	1.77708	+	1.14206i	0.121479	+	0.0780697i
$215$	−10.9369	+	18.4000i	−0.745891	+	1.25487i
$216$	−2.07261	+	2.39192i	−0.141023	+	0.162749i
$217$	−1.19934	−	0.260901i	−0.0814167	−	0.0177111i
$218$	11.2265	+	8.40405i	0.760354	+	0.569194i
$219$	−6.84125	+	0.983623i	−0.462289	+	0.0664671i
$220$	11.1426	+	3.71839i	0.751231	+	0.250694i
$221$	−1.05228	−	0.911803i	−0.0707838	−	0.0613345i
$222$	0.332435	−	0.123992i	0.0223116	−	0.00832178i
$223$	1.24955	+	5.74408i	0.0836760	+	0.384652i	0.999871	−	0.0160811i	$-0.00511900\pi$
$223$	1.24955	+	5.74408i	0.0836760	+	0.384652i	−0.916195	+	0.400733i	$0.868755\pi$
$224$	0.503894	−	0.147957i	0.0336678	−	0.00988577i
$225$	−6.42884	−	11.8180i	−0.428589	−	0.787863i
$226$	−5.80065	+	19.7552i	−0.385853	+	1.31410i
$227$	4.55091	−	12.2015i	0.302055	−	0.809840i	−0.693907	−	0.720064i	$-0.744112\pi$
$227$	4.55091	−	12.2015i	0.302055	−	0.809840i	0.995962	−	0.0897758i	$-0.0286151\pi$
$228$	−2.46935	−	3.29866i	−0.163537	−	0.218459i
$229$	−6.02979			−0.398459			−0.199230	−	0.979953i	$-0.563844\pi$
$229$	−6.02979			−0.398459			−0.199230	+	0.979953i	$0.563844\pi$
$230$	−9.82509	+	4.29739i	−0.647847	+	0.283361i
$231$	1.53437			0.100954
$232$	−4.66867	−	6.23661i	−0.306513	−	0.409453i
$233$	−2.39806	+	6.42945i	−0.157102	+	0.421207i	−0.991525	−	0.129918i	$-0.958529\pi$
$233$	−2.39806	+	6.42945i	−0.157102	+	0.421207i	0.834422	+	0.551125i	$0.185801\pi$
$234$	−0.998781	+	3.40154i	−0.0652924	+	0.222365i
$235$	14.4292	+	20.8171i	0.941257	+	1.35796i
$236$	−4.54113	+	1.33340i	−0.295603	+	0.0867968i
$237$	−0.723434	−	3.32557i	−0.0469921	−	0.216019i
$238$	0.519989	−	0.193946i	0.0337059	−	0.0125716i
$239$	6.14021	+	5.32053i	0.397177	+	0.344156i	0.830437	−	0.557113i	$-0.188091\pi$
$239$	6.14021	+	5.32053i	0.397177	+	0.344156i	−0.433259	+	0.901269i	$0.642637\pi$
$240$	0.555788	+	1.11252i	0.0358759	+	0.0718129i
$241$	−15.5482	+	2.23550i	−1.00155	+	0.144001i	−0.623532	−	0.781798i	$-0.714303\pi$
$241$	−15.5482	+	2.23550i	−1.00155	+	0.144001i	−0.378017	+	0.925799i	$0.623394\pi$
$242$	13.2863	+	9.94597i	0.854073	+	0.639351i
$243$	12.7081	+	2.76447i	0.815223	+	0.177341i
$244$	−6.44113	+	7.43346i	−0.412351	+	0.475878i
$245$	−3.70692	−	14.5717i	−0.236826	−	0.930949i
$246$	−3.41124	−	2.19227i	−0.217493	−	0.139774i
$247$	−8.56756	−	4.67824i	−0.545141	−	0.297669i
$248$	0.166730	−	2.33119i	0.0105874	−	0.148031i
$249$	−2.30854	−	0.677849i	−0.146298	−	0.0429569i
$250$	−11.1191	+	1.16874i	−0.703233	+	0.0739177i
$251$	10.1622	+	1.46110i	0.641433	+	0.0922241i	0.455354	−	0.890311i	$-0.349513\pi$
$251$	10.1622	+	1.46110i	0.641433	+	0.0922241i	0.186079	+	0.982535i	$0.440422\pi$
$252$	−0.999181	−	0.999181i	−0.0629425	−	0.0629425i
$253$	−25.0876	+	2.30976i	−1.57724	+	0.145213i
$254$		−	16.6415i		−	1.04418i
$255$	0.669715	+	1.13078i	0.0419392	+	0.0708123i
$256$	0.415415	+	0.909632i	0.0259634	+	0.0568520i
$257$	24.1790	−	13.2028i	1.50825	−	0.823565i	0.508940	−	0.860802i	$-0.330037\pi$
$257$	24.1790	−	13.2028i	1.50825	−	0.823565i	0.999306	+	0.0372367i	$0.0118555\pi$
$258$	−5.31040	−	0.379807i	−0.330611	−	0.0236458i
$259$	0.0943888	+	0.321459i	0.00586503	+	0.0199745i
$260$	2.29254	+	1.85044i	0.142177	+	0.114759i
$261$	−8.70781	+	19.0674i	−0.539000	+	1.18025i
$262$	0.205691	+	2.87594i	0.0127076	+	0.177676i
$263$	4.60403	−	21.1644i	0.283897	−	1.30505i	−0.585393	−	0.810749i	$-0.699060\pi$
$263$	4.60403	−	21.1644i	0.283897	−	1.30505i	0.869290	−	0.494302i	$-0.164576\pi$
$264$	0.415798	+	2.89194i	0.0255906	+	0.177986i
$265$	−0.109767	−	3.14310i	−0.00674293	−	0.193079i
$266$	3.27321	−	2.10357i	0.200694	−	0.128978i
$267$	−4.45280	+	0.318471i	−0.272507	+	0.0194901i
$268$	−1.32908	−	3.56340i	−0.0811865	−	0.217669i
$269$	−7.04113	+	10.9562i	−0.429305	+	0.668012i	−0.986759	−	0.162196i	$-0.948142\pi$
$269$	−7.04113	+	10.9562i	−0.429305	+	0.668012i	0.557453	+	0.830208i	$0.311779\pi$
$270$	4.04081	−	5.81005i	0.245916	−	0.353589i
$271$	−2.42350	−	2.79686i	−0.147217	−	0.169897i	0.677352	−	0.735659i	$-0.263128\pi$
$271$	−2.42350	−	2.79686i	−0.147217	−	0.169897i	−0.824569	+	0.565762i	$0.808582\pi$
$272$	0.506456	+	0.927505i	0.0307084	+	0.0562383i
$273$	0.360569	+	0.134485i	0.0218227	+	0.00813943i
$274$	−1.12284	+	7.80952i	−0.0678332	+	0.471790i
$275$	−25.6571	−	5.62389i	−1.54718	−	0.339133i
$276$	−2.05102	−	1.70519i	−0.123457	−	0.102641i
$277$	13.3765	−	13.3765i	0.803718	−	0.803718i	−0.179957	−	0.983675i	$-0.557596\pi$
$277$	13.3765	−	13.3765i	0.803718	−	0.803718i	0.983675	+	0.179957i	$0.0575958\pi$
$278$	2.99956	−	2.24544i	0.179901	−	0.134673i
$279$	−5.72023	+	2.61234i	−0.342461	+	0.156397i
$280$	−1.08527	+	0.448530i	−0.0648576	+	0.0268048i
$281$	14.9178	−	12.9263i	0.889920	−	0.771120i	−0.0843659	−	0.996435i	$-0.526886\pi$
$281$	14.9178	−	12.9263i	0.889920	−	0.771120i	0.974286	+	0.225315i	$0.0723410\pi$
$282$	−3.01923	+	5.52932i	−0.179793	+	0.329266i
$283$	20.2886	−	4.41351i	1.20603	−	0.262356i	0.435755	−	0.900065i	$-0.356482\pi$
$283$	20.2886	−	4.41351i	1.20603	−	0.262356i	0.770277	+	0.637709i	$0.220118\pi$
$284$	−6.81388	−	3.11179i	−0.404329	−	0.184651i
$285$	6.27312	+	6.74850i	0.371587	+	0.399747i
$286$	3.74204	+	5.82272i	0.221271	+	0.344305i
$287$	2.29460	−	3.06522i	0.135446	−	0.180935i
$288$	1.61246	−	2.15400i	0.0950154	−	0.126926i
$289$	−8.58713	−	13.3618i	−0.505125	−	0.785990i
$290$	11.8603	+	12.7590i	0.696458	+	0.749236i
$291$	−2.96631	−	1.35467i	−0.173888	−	0.0794121i
$292$	12.1432	−	2.64160i	0.710629	−	0.154588i
$293$	−0.0779118	+	0.142685i	−0.00455166	+	0.00833573i	−0.879945	−	0.475076i	$-0.842421\pi$
$293$	−0.0779118	+	0.142685i	−0.00455166	+	0.00833573i	0.875393	+	0.483411i	$0.160602\pi$
$294$	2.82633	−	2.44903i	0.164835	−	0.142830i
$295$	9.78059	−	4.04219i	0.569448	−	0.235346i
$296$	−0.580299	+	0.265014i	−0.0337292	+	0.0154036i
$297$	13.3101	−	9.96378i	0.772328	−	0.578157i
$298$	−2.43451	+	2.43451i	−0.141027	+	0.141027i
$299$	−6.09792	−	1.65611i	−0.352652	−	0.0957756i
$300$	−1.49973	−	2.34176i	−0.0865867	−	0.135201i
$301$	0.715449	−	4.97606i	0.0412378	−	0.286815i
$302$	−3.65733	−	1.36411i	−0.210456	−	0.0784959i
$303$	1.93617	+	3.54582i	0.111230	+	0.203702i
$304$	4.85176	+	5.59923i	0.278267	+	0.321138i
$305$	12.5578	−	18.0561i	0.719056	−	1.03389i
$306$	1.53727	−	2.39205i	0.0878801	−	0.136744i
$307$	2.28076	+	6.11496i	0.130170	+	0.348999i	0.985642	−	0.168850i	$-0.0540054\pi$
$307$	2.28076	+	6.11496i	0.130170	+	0.348999i	−0.855472	+	0.517850i	$0.826733\pi$
$308$	−2.75180	+	0.196813i	−0.156798	+	0.0112144i
$309$	0.503632	−	0.323665i	0.0286506	−	0.0184126i
$310$	0.182398	+	5.22283i	0.0103595	+	0.296637i
$311$	2.37328	+	16.5065i	0.134576	+	0.935998i	0.939483	+	0.342596i	$0.111306\pi$
$311$	2.37328	+	16.5065i	0.134576	+	0.935998i	−0.804907	+	0.593401i	$0.797785\pi$
$312$	−0.155764	+	0.716037i	−0.00881841	+	0.0405376i
$313$	0.416728	+	5.82662i	0.0235549	+	0.329340i	0.995543	+	0.0943098i	$0.0300644\pi$
$313$	0.416728	+	5.82662i	0.0235549	+	0.329340i	−0.971988	+	0.235030i	$0.924481\pi$
$314$	0.271599	−	0.594718i	0.0153272	−	0.0335619i
$315$	2.45870	+	1.98455i	0.138532	+	0.111817i
$316$	1.72401	+	5.87144i	0.0969831	+	0.330294i
$317$	−7.63598	−	0.546136i	−0.428879	−	0.0306740i	−0.144769	−	0.989466i	$-0.546244\pi$
$317$	−7.63598	−	0.546136i	−0.428879	−	0.0306740i	−0.284111	+	0.958792i	$0.591698\pi$
$318$	0.686559	−	0.374890i	0.0385003	−	0.0210228i
$319$	17.0010	+	37.2270i	0.951874	+	2.08431i
$320$	−1.13948	−	1.92395i	−0.0636987	−	0.107552i
$321$		−	1.17486i		−	0.0655740i
$322$	1.74421	−	1.81690i	0.0972011	−	0.101252i
$323$	5.53625	+	5.53625i	0.308045	+	0.308045i
$324$	−6.24755	−	0.898263i	−0.347086	−	0.0499035i
$325$	−5.53638	−	3.57040i	−0.307103	−	0.198050i
$326$	−18.0527	−	5.30075i	−0.999847	−	0.293581i
$327$	0.556407	−	7.77959i	0.0307694	−	0.430212i
$328$	6.39907	+	3.49416i	0.353330	+	0.192933i
$329$	−5.00444	−	3.21616i	−0.275904	−	0.177313i
$330$	−1.61066	−	6.33140i	−0.0886640	−	0.348532i
$331$	9.59008	−	11.0675i	0.527118	−	0.608327i	−0.428280	−	0.903646i	$-0.640880\pi$
$331$	9.59008	−	11.0675i	0.527118	−	0.608327i	0.955399	+	0.295319i	$0.0954259\pi$
$332$	4.22719	+	0.919568i	0.231997	+	0.0504679i
$333$	1.37414	+	1.02867i	0.0753026	+	0.0563708i
$334$	5.09767	−	0.732934i	0.278932	−	0.0401044i
$335$	3.80061	+	7.60768i	0.207649	+	0.415652i
$336$	−0.220739	−	0.191272i	−0.0120423	−	0.0104347i
$337$	−21.5829	+	8.04999i	−1.17569	+	0.438511i	−0.859972	−	0.510341i	$-0.829519\pi$
$337$	−21.5829	+	8.04999i	−1.17569	+	0.438511i	−0.315721	+	0.948852i	$0.602246\pi$
$338$	−2.39434	−	11.0066i	−0.130235	−	0.598681i
$339$	10.9872	−	3.22612i	0.596740	−	0.175219i
$340$	−1.34614	−	1.94209i	−0.0730048	−	0.105325i
$341$	−3.45900	+	11.7803i	−0.187315	+	0.637938i
$342$	6.96650	−	18.6779i	0.376705	−	1.00999i
$343$	4.31929	+	5.76990i	0.233220	+	0.311545i
$344$	9.57263			0.516121
$345$	4.96491	+	3.30476i	0.267302	+	0.177923i
$346$	22.0678			1.18637
$347$	11.1290	+	14.8666i	0.597435	+	0.798080i	0.992716	−	0.120481i	$-0.0384436\pi$
$347$	11.1290	+	14.8666i	0.597435	+	0.798080i	−0.395281	+	0.918560i	$0.629353\pi$
$348$	−1.51416	+	4.05962i	−0.0811675	+	0.217618i
$349$	0.888703	−	3.02665i	0.0475712	−	0.162013i	−0.932282	−	0.361733i	$-0.882185\pi$
$349$	0.888703	−	3.02665i	0.0475712	−	0.162013i	0.979853	+	0.199720i	$0.0640034\pi$
$350$	2.30663	−	1.25478i	0.123294	−	0.0670709i
$351$	4.00112	−	1.17483i	0.213564	−	0.0627080i
$352$	−1.11666	−	5.13319i	−0.0595181	−	0.273600i
$353$	2.14300	−	0.799297i	0.114060	−	0.0425423i	−0.291786	−	0.956484i	$-0.594250\pi$
$353$	2.14300	−	0.799297i	0.114060	−	0.0425423i	0.405846	+	0.913941i	$0.366977\pi$
$354$	1.98932	+	1.72375i	0.105731	+	0.0916165i
$355$	15.8886	+	5.30220i	0.843280	+	0.281412i
$356$	7.94501	−	1.14232i	0.421085	−	0.0605428i
$357$	−0.247096	−	0.184974i	−0.0130777	−	0.00978985i
$358$	11.8549	+	2.57887i	0.626550	+	0.136298i
$359$	−3.87432	+	4.47120i	−0.204479	+	0.235981i	−0.848721	−	0.528840i	$-0.822627\pi$
$359$	−3.87432	+	4.47120i	−0.204479	+	0.235981i	0.644243	+	0.764821i	$0.277173\pi$
$360$	−3.07415	+	5.17188i	−0.162022	+	0.272582i
$361$	30.1933	+	19.4041i	1.58912	+	1.02127i
$362$	−13.6697	−	7.46423i	−0.718465	−	0.392311i
$363$	0.658493	−	9.20694i	0.0345619	−	0.483239i
$364$	−0.663912	−	0.194942i	−0.0347984	−	0.0102177i
$365$	−26.3730	+	8.75462i	−1.38043	+	0.458238i
$366$	5.41469	+	0.778515i	0.283031	+	0.0406937i
$367$	15.3876	+	15.3876i	0.803228	+	0.803228i	0.983599	−	0.180371i	$-0.0577299\pi$
$367$	15.3876	+	15.3876i	0.803228	+	0.803228i	−0.180371	+	0.983599i	$0.557730\pi$
$368$	3.89711	+	2.79509i	0.203151	+	0.145704i
$369$		−	19.6175i		−	1.02125i
$370$	1.22738	−	0.726929i	0.0638086	−	0.0377912i
$371$	0.306844	+	0.671895i	0.0159306	+	0.0348830i
$372$	−1.14084	+	0.622947i	−0.0591499	+	0.0322983i
$373$	4.39431	+	0.314287i	0.227529	+	0.0162732i	0.184638	−	0.982807i	$-0.440889\pi$
$373$	4.39431	+	0.314287i	0.227529	+	0.0162732i	0.0428906	+	0.999080i	$0.486343\pi$
$374$	−1.56403	−	5.32660i	−0.0808741	−	0.275432i
$375$	3.89018	+	4.85093i	0.200888	+	0.250501i
$376$	4.70559	−	10.3038i	0.242672	−	0.531378i
$377$	0.732258	+	10.2383i	0.0377132	+	0.527300i
$378$	−0.353312	+	1.62415i	−0.0181724	+	0.0835371i
$379$	−3.68234	−	25.6112i	−0.189149	−	1.31556i	−0.834218	−	0.551435i	$-0.814080\pi$
$379$	−3.68234	−	25.6112i	−0.189149	−	1.31556i	0.645069	−	0.764124i	$-0.276829\pi$
$380$	−12.1161	−	11.2984i	−0.621544	−	0.579596i
$381$	−7.78618	+	5.00388i	−0.398898	+	0.256356i
$382$	5.23217	−	0.374212i	0.267701	−	0.0191463i
$383$	11.3995	+	30.5632i	0.582487	+	1.56171i	0.809068	+	0.587715i	$0.199972\pi$
$383$	11.3995	+	30.5632i	0.582487	+	1.56171i	−0.226582	+	0.973992i	$0.572755\pi$
$384$	0.300686	−	0.467876i	0.0153443	−	0.0238762i
$385$	6.07178	−	1.09051i	0.309447	−	0.0555776i
$386$	12.1877	+	14.0654i	0.620339	+	0.715909i
$387$	−12.3440	−	22.6063i	−0.627478	−	1.14914i
$388$	5.49368	+	2.04904i	0.278899	+	0.104024i
$389$	−2.86208	+	19.9062i	−0.145113	+	1.00928i	0.778961	+	0.627072i	$0.215747\pi$
$389$	−2.86208	+	19.9062i	−0.145113	+	1.00928i	−0.924074	+	0.382213i	$0.875162\pi$
$390$	0.176442	−	1.62903i	0.00893448	−	0.0824889i
$391$	4.31858	+	2.65244i	0.218400	+	0.134140i
$392$	−4.75473	+	4.75473i	−0.240150	+	0.240150i
$393$	1.28373	−	0.960991i	0.0647558	−	0.0484756i
$394$	−16.2417	+	7.41733i	−0.818244	+	0.373680i
$395$	−5.22633	−	12.6458i	−0.262965	−	0.636277i
$396$	−10.6824	+	9.25633i	−0.536809	+	0.465148i
$397$	−9.70299	+	17.7697i	−0.486979	+	0.891836i	0.512472	+	0.858704i	$0.328730\pi$
$397$	−9.70299	+	17.7697i	−0.486979	+	0.891836i	−0.999451	+	0.0331319i	$0.989452\pi$
$398$	21.8384	−	4.75065i	1.09466	−	0.238129i
$399$	−1.96842	−	0.898946i	−0.0985441	−	0.0450036i
$400$	2.99005	+	4.00744i	0.149503	+	0.200372i
$401$	−18.1104	−	28.1803i	−0.904388	−	1.40726i	−0.913297	−	0.407295i	$-0.866472\pi$
$401$	−18.1104	−	28.1803i	−0.904388	−	1.40726i	0.00890872	−	0.999960i	$-0.497164\pi$
$402$	−1.26759	+	1.69331i	−0.0632219	+	0.0844546i
$403$	−1.84538	+	2.46514i	−0.0919248	+	0.122797i
$404$	−3.92723	−	6.11089i	−0.195387	−	0.304028i
$405$	14.1042	+	0.514904i	0.700844	+	0.0255858i
$406$	−3.72158	−	1.69959i	−0.184699	−	0.0843493i
$407$	3.27472	−	0.712371i	0.162322	−	0.0353109i
$408$	0.281673	−	0.515846i	0.0139449	−	0.0255382i
$409$	6.50305	−	5.63493i	0.321555	−	0.278629i	−0.479093	−	0.877764i	$-0.659034\pi$
$409$	6.50305	−	5.63493i	0.321555	−	0.278629i	0.800648	+	0.599135i	$0.204489\pi$
$410$	−15.0570	−	6.25078i	−0.743614	−	0.308704i
$411$	3.99151	−	1.82286i	0.196887	−	0.0899151i
$412$	−0.861720	+	0.645076i	−0.0424539	+	0.0317806i
$413$	−1.75754	+	1.75754i	−0.0864828	+	0.0864828i
$414$	1.57539	−	12.8075i	0.0774264	−	0.629455i
$415$	−9.61710	−	1.04164i	−0.472085	−	0.0511321i
$416$	0.187509	−	1.30415i	0.00919337	−	0.0639413i
$417$	−1.95251	−	0.728249i	−0.0956149	−	0.0356625i
$418$	−18.6526	−	34.1597i	−0.912328	−	1.67080i
$419$	6.27500	+	7.24173i	0.306554	+	0.353782i	0.888033	−	0.459779i	$-0.152071\pi$
$419$	6.27500	+	7.24173i	0.306554	+	0.353782i	−0.581480	+	0.813561i	$0.697526\pi$
$420$	0.536183	+	0.372908i	0.0261631	+	0.0181960i
$421$	−5.36248	+	8.34419i	−0.261351	+	0.406671i	−0.946986	−	0.321275i	$-0.895889\pi$
$421$	−5.36248	+	8.34419i	−0.261351	+	0.406671i	0.685634	+	0.727946i	$0.259525\pi$
$422$	−2.89249	−	7.75506i	−0.140804	−	0.377510i
$423$	−30.4008	+	2.17431i	−1.47814	+	0.105719i
$424$	−1.18322	+	0.760409i	−0.0574622	+	0.0369287i
$425$	3.45387	+	3.99874i	0.167537	+	0.193967i
$426$	0.592902	+	4.12372i	0.0287262	+	0.199795i
$427$	−1.09800	+	5.04743i	−0.0531360	+	0.244262i
$428$	0.150698	+	2.10704i	0.00728428	+	0.101848i
$429$	1.59914	−	3.50162i	0.0772070	−	0.169060i
$430$	−21.2842	+	2.27126i	−1.02642	+	0.109530i
$431$	−6.84144	−	23.2998i	−0.329541	−	1.12231i	−0.943057	−	0.332631i	$-0.892064\pi$
$431$	−6.84144	−	23.2998i	−0.329541	−	1.12231i	0.613517	−	0.789682i	$-0.289754\pi$
$432$	−3.15690	−	0.225786i	−0.151886	−	0.0108631i
$433$	−2.87198	+	1.56822i	−0.138019	+	0.0753639i	−0.546775	−	0.837280i	$-0.684145\pi$
$433$	−2.87198	+	1.56822i	−0.138019	+	0.0753639i	0.408756	+	0.912644i	$0.365963\pi$
$434$	−0.509877	−	1.11647i	−0.0244749	−	0.0535925i
$435$	2.40344	−	9.38559i	0.115236	−	0.450005i
$436$			14.0236i			0.671610i
$437$	33.5377	+	11.7350i	1.60433	+	0.561362i
$438$	−4.88724	−	4.88724i	−0.233521	−	0.233521i
$439$	21.8981	+	3.14847i	1.04514	+	0.150268i	0.643434	−	0.765501i	$-0.277509\pi$
$439$	21.8981	+	3.14847i	1.04514	+	0.150268i	0.401704	+	0.915770i	$0.368418\pi$
$440$	3.70076	+	11.1484i	0.176427	+	0.531480i
$441$	17.3598	+	5.09729i	0.826657	+	0.242728i
$442$	0.0993299	−	1.38881i	0.00472464	−	0.0660591i
$443$	26.9109	+	14.6945i	1.27858	+	0.698155i	0.967654	−	0.252280i	$-0.0811805\pi$
$443$	26.9109	+	14.6945i	1.27858	+	0.698155i	0.310922	+	0.950436i	$0.399362\pi$
$444$	0.298481	+	0.191822i	0.0141653	+	0.00910348i
$445$	−17.3942	+	4.42497i	−0.824566	+	0.209763i
$446$	−3.84955	+	4.44262i	−0.182281	+	0.210364i
$447$	1.87107	+	0.407027i	0.0884987	+	0.0192517i
$448$	0.420418	+	0.314721i	0.0198629	+	0.0148692i
$449$	−39.7435	+	5.71425i	−1.87561	+	0.269672i	−0.983333	−	0.181812i	$-0.941804\pi$
$449$	−39.7435	+	5.71425i	−1.87561	+	0.269672i	−0.892279	+	0.451484i	$0.850895\pi$
$450$	5.60810	−	12.2288i	0.264368	−	0.576471i
$451$	−28.9459	−	25.0818i	−1.36301	−	1.18105i
$452$	−19.2910	+	7.19518i	−0.907374	+	0.338433i
$453$	0.461471	+	2.12135i	0.0216818	+	0.0996696i
$454$	12.4950	−	3.66888i	0.586421	−	0.172189i
$455$	1.52242	+	0.275919i	0.0713723	+	0.0129353i
$456$	1.16089	−	3.95363i	0.0543637	−	0.185146i
$457$	7.54028	−	20.2163i	0.352719	−	0.945678i	−0.632527	−	0.774538i	$-0.717982\pi$
$457$	7.54028	−	20.2163i	0.352719	−	0.945678i	0.985247	−	0.171139i	$-0.0547449\pi$
$458$	−3.61352	−	4.82709i	−0.168849	−	0.225555i
$459$	−3.34464			−0.156114
$460$	−9.32819	−	5.29006i	−0.434929	−	0.246651i
$461$	−16.2217			−0.755521			−0.377760	−	0.925903i	$-0.623306\pi$
$461$	−16.2217			−0.755521			−0.377760	+	0.925903i	$0.623306\pi$
$462$	0.919512	+	1.22832i	0.0427796	+	0.0571468i
$463$	0.956500	−	2.56448i	0.0444523	−	0.119181i	−0.912827	−	0.408347i	$-0.866105\pi$
$463$	0.956500	−	2.56448i	0.0444523	−	0.119181i	0.957279	+	0.289166i	$0.0933780\pi$
$464$	2.19483	−	7.47492i	0.101893	−	0.347014i
$465$	2.38880	−	1.65577i	0.110778	−	0.0767846i
$466$	−6.58415	+	1.93328i	−0.305005	+	0.0895575i
$467$	4.46937	+	20.5453i	0.206818	+	0.950725i	0.957134	+	0.289646i	$0.0935376\pi$
$467$	4.46937	+	20.5453i	0.206818	+	0.950725i	−0.750316	+	0.661079i	$0.770099\pi$
$468$	−3.32162	+	1.23890i	−0.153542	+	0.0572681i
$469$	−1.50947	−	1.30796i	−0.0697007	−	0.0603960i
$470$	−8.01787	+	24.0264i	−0.369837	+	1.10826i
$471$	−0.359920	+	0.0517487i	−0.0165842	+	0.00238445i
$472$	−3.78884	−	2.83629i	−0.174395	−	0.130551i
$473$	−49.1381	−	10.6893i	−2.25937	−	0.491497i
$474$	2.22872	−	2.57208i	0.102369	−	0.118140i
$475$	29.6202	+	22.2466i	1.35907	+	1.02075i
$476$	0.466879	+	0.300045i	0.0213994	+	0.0137525i
$477$	3.32151	+	1.81368i	0.152082	+	0.0830429i
$478$	−0.579607	+	8.10397i	−0.0265106	+	0.370667i
$479$	26.6057	+	7.81215i	1.21565	+	0.356946i	0.825816	−	0.563940i	$-0.190715\pi$
$479$	26.6057	+	7.81215i	1.21565	+	0.356946i	0.389832	+	0.920886i	$0.372533\pi$
$480$	−0.557547	+	1.11164i	−0.0254484	+	0.0507392i
$481$	0.831983	+	0.119621i	0.0379351	+	0.00545425i
$482$	−11.1073	−	11.1073i	−0.505924	−	0.505924i
$483$	−1.37454	−	0.269759i	−0.0625439	−	0.0122745i
$484$			16.5966i			0.754391i
$485$	−12.7010	−	3.25245i	−0.576725	−	0.147686i
$486$	5.40259	+	11.8300i	0.245066	+	0.536621i
$487$	−12.1768	+	6.64903i	−0.551783	+	0.301296i	−0.730847	−	0.682541i	$-0.760875\pi$
$487$	−12.1768	+	6.64903i	−0.551783	+	0.301296i	0.179064	+	0.983837i	$0.442693\pi$
$488$	−9.81081	−	0.701683i	−0.444115	−	0.0317637i
$489$	2.94809	+	10.0403i	0.133317	+	0.454038i
$490$	9.44374	−	11.7000i	0.426624	−	0.528552i
$491$	2.01551	−	4.41335i	0.0909587	−	0.199172i	−0.858685	−	0.512504i	$-0.828718\pi$
$491$	2.01551	−	4.41335i	0.0909587	−	0.199172i	0.949644	+	0.313332i	$0.101445\pi$
$492$	−0.289277	−	4.04462i	−0.0130416	−	0.182345i
$493$	1.75000	−	8.04461i	0.0788160	−	0.362311i
$494$	−1.38922	−	9.66225i	−0.0625040	−	0.434725i
$495$	21.5554	−	23.1155i	0.968845	−	1.03896i
$496$	1.96613	−	1.26356i	0.0882820	−	0.0567354i
$497$	−3.92390	+	0.280643i	−0.176011	+	0.0125886i
$498$	−0.840811	−	2.25430i	−0.0376776	−	0.101018i
$499$	−18.6870	+	29.0775i	−0.836544	+	1.30169i	0.114748	+	0.993395i	$0.463394\pi$
$499$	−18.6870	+	29.0775i	−0.836544	+	1.30169i	−0.951292	+	0.308293i	$0.900242\pi$
$500$	−7.59905	−	8.20088i	−0.339840	−	0.366755i
$501$	−1.87572	−	2.16470i	−0.0838010	−	0.0967115i
$502$	4.92031	+	9.01087i	0.219604	+	0.402175i
$503$	−36.4791	−	13.6060i	−1.62652	−	0.606662i	−0.639723	−	0.768606i	$-0.720951\pi$
$503$	−36.4791	−	13.6060i	−1.62652	−	0.606662i	−0.986800	+	0.161944i	$0.948224\pi$
$504$	0.201099	−	1.39867i	0.00895765	−	0.0623018i
$505$	10.1819	+	12.6554i	0.453088	+	0.563159i
$506$	−16.8835	−	18.6995i	−0.750562	−	0.831292i
$507$	−4.42979	+	4.42979i	−0.196734	+	0.196734i
$508$	13.3222	−	9.97291i	0.591079	−	0.442476i
$509$	−5.35168	+	2.44403i	−0.237209	+	0.108330i	−0.530473	−	0.847702i	$-0.677986\pi$
$509$	−5.35168	+	2.44403i	−0.237209	+	0.108330i	0.293264	+	0.956031i	$0.405258\pi$
$510$	−0.503892	+	1.21379i	−0.0223127	+	0.0537474i
$511$	4.93230	−	4.27386i	0.218192	−	0.189065i
$512$	−0.479249	+	0.877679i	−0.0211800	+	0.0387883i
$513$	−22.9128	+	4.98437i	−1.01162	+	0.220065i
$514$	25.0593	+	11.4442i	1.10532	+	0.504782i
$515$	1.76293	−	1.63875i	0.0776841	−	0.0722118i
$516$	−2.87835	−	4.47880i	−0.126712	−	0.197168i
$517$	−35.6605	+	47.6369i	−1.56835	+	2.09507i
$518$	−0.200776	+	0.268205i	−0.00882159	+	0.0117843i
$519$	−6.63548	−	10.3250i	−0.291265	−	0.453218i
$520$	−0.107484	+	2.94420i	−0.00471349	+	0.129112i
$521$	−14.5901	−	6.66307i	−0.639203	−	0.291914i	0.0693279	−	0.997594i	$-0.477915\pi$
$521$	−14.5901	−	6.66307i	−0.639203	−	0.291914i	−0.708531	+	0.705680i	$0.750642\pi$
$522$	−20.4827	+	4.45573i	−0.896502	+	0.195022i
$523$	2.28295	−	4.18091i	0.0998263	−	0.182818i	−0.822993	−	0.568052i	$-0.807697\pi$
$523$	2.28295	−	4.18091i	0.0998263	−	0.182818i	0.922819	+	0.385234i	$0.125879\pi$
$524$	−2.17904	+	1.88815i	−0.0951918	+	0.0824842i
$525$	−1.28065	−	0.701921i	−0.0558922	−	0.0306344i
$526$	19.7021	−	8.99763i	0.859050	−	0.392315i
$527$	1.97720	−	1.48011i	0.0861281	−	0.0644747i
$528$	−2.06594	+	2.06594i	−0.0899083	+	0.0899083i
$529$	22.8805	+	2.34151i	0.994804	+	0.101805i
$530$	2.45040	−	1.97146i	0.106439	−	0.0856349i
$531$	−1.81232	+	12.6050i	−0.0786480	+	0.547009i
$532$	3.64555	+	1.35972i	0.158055	+	0.0589514i
$533$	−4.60377	−	8.43118i	−0.199412	−	0.365195i
$534$	−2.92341	−	3.37380i	−0.126509	−	0.145999i
$535$	−0.834998	−	4.64913i	−0.0361001	−	0.200999i
$536$	2.05616	−	3.19945i	0.0888126	−	0.138195i
$537$	−2.35800	−	6.32205i	−0.101755	−	0.272816i
$538$	−12.9905	+	0.929099i	−0.560060	+	0.0400563i
$539$	29.7163	−	19.0975i	1.27997	−	0.822589i
$540$	7.07275	−	0.247003i	0.304363	−	0.0106293i
$541$	2.07436	+	14.4275i	0.0891838	+	0.620287i	0.984569	+	0.174995i	$0.0559909\pi$
$541$	2.07436	+	14.4275i	0.0891838	+	0.620287i	−0.895386	+	0.445292i	$0.853100\pi$
$542$	0.786657	−	3.61621i	0.0337898	−	0.155329i
$543$	0.617954	+	8.64013i	0.0265189	+	0.370783i
$544$	−0.438998	+	0.961272i	−0.0188219	+	0.0412142i
$545$	−3.32733	−	31.1808i	−0.142527	−	1.33564i
$546$	0.108420	+	0.369245i	0.00463995	+	0.0158022i
$547$	−16.0514	−	1.14802i	−0.686310	−	0.0490859i	−0.276171	−	0.961109i	$-0.589065\pi$
$547$	−16.0514	−	1.14802i	−0.686310	−	0.0490859i	−0.410140	+	0.912023i	$0.634520\pi$
$548$	−6.92474	+	3.78119i	−0.295810	+	0.161525i
$549$	10.9940	+	24.0736i	0.469214	+	1.02744i
$550$	−10.8736	−	23.9098i	−0.463651	−	1.01952i
$551$		−	57.7185i		−	2.45889i
$552$	0.135947	−	2.66381i	0.00578631	−	0.113379i
$553$	2.27240	+	2.27240i	0.0966323	+	0.0966323i
$554$	18.7247	+	2.69221i	0.795537	+	0.114381i
$555$	−0.709169	−	0.355687i	−0.0301026	−	0.0150981i
$556$	3.59513	+	1.05563i	0.152468	+	0.0447685i
$557$	0.198255	−	2.77196i	0.00840032	−	0.117452i	−0.991522	−	0.129941i	$-0.958521\pi$
$557$	0.198255	−	2.77196i	0.00840032	−	0.117452i	0.999922	+	0.0124895i	$0.00397564\pi$
$558$	−5.51930	−	3.01376i	−0.233650	−	0.127583i
$559$	−10.6103	−	6.81885i	−0.448770	−	0.288407i
$560$	−1.00945	−	0.600013i	−0.0426570	−	0.0253552i
$561$	−2.02191	+	2.33341i	−0.0853650	+	0.0985165i
$562$	19.2880	+	4.19584i	0.813613	+	0.176991i
$563$	−11.9910	−	8.97638i	−0.505362	−	0.378309i	0.315962	−	0.948772i	$-0.397673\pi$
$563$	−11.9910	−	8.97638i	−0.505362	−	0.378309i	−0.821323	+	0.570463i	$0.806764\pi$
$564$	−6.23581	+	0.896573i	−0.262575	+	0.0377526i
$565$	41.1854	−	20.5752i	1.73268	−	0.865605i
$566$	15.6917	+	13.5969i	0.659571	+	0.571522i
$567$	−3.10575	+	1.15839i	−0.130429	+	0.0486476i
$568$	−1.59229	−	7.31962i	−0.0668108	−	0.307124i
$569$	−25.1786	+	7.39312i	−1.05554	+	0.309936i	−0.763055	−	0.646334i	$-0.776301\pi$
$569$	−25.1786	+	7.39312i	−1.05554	+	0.309936i	−0.292488	+	0.956269i	$0.594483\pi$
$570$	−1.64311	+	9.06611i	−0.0688224	+	0.379738i
$571$	−0.362523	+	1.23464i	−0.0151711	+	0.0516681i	−0.966731	−	0.255796i	$-0.917662\pi$
$571$	−0.362523	+	1.23464i	−0.0151711	+	0.0516681i	0.951560	+	0.307464i	$0.0994805\pi$
$572$	−2.41881	+	6.48508i	−0.101136	+	0.271155i
$573$	−1.74832	−	2.33549i	−0.0730372	−	0.0975663i
$574$	3.82894			0.159817
$575$	21.9959	+	9.54890i	0.917291	+	0.398217i
$576$	2.69068			0.112112
$577$	26.9647	+	36.0206i	1.12255	+	1.49956i	0.841809	+	0.539775i	$0.181491\pi$
$577$	26.9647	+	36.0206i	1.12255	+	1.49956i	0.280745	+	0.959782i	$0.409418\pi$
$578$	5.55062	−	14.8818i	0.230875	−	0.619001i
$579$	2.91618	−	9.93161i	0.121192	−	0.412743i
$580$	−3.10655	+	17.1408i	−0.128992	+	0.711734i
$581$	2.17987	−	0.640068i	0.0904363	−	0.0265545i
$582$	−0.693175	−	3.18648i	−0.0287330	−	0.132084i
$583$	6.92281	−	2.58207i	0.286713	−	0.106939i
$584$	9.39188	+	8.13811i	0.388639	+	0.336757i
$585$	7.09148	−	3.54273i	0.293197	−	0.146474i
$586$	−0.160916	+	0.0231362i	−0.00664737	+	0.000955748i
$587$	9.55484	+	7.15267i	0.394371	+	0.295222i	0.777999	−	0.628265i	$-0.216235\pi$
$587$	9.55484	+	7.15267i	0.394371	+	0.295222i	−0.383629	+	0.923487i	$0.625326\pi$
$588$	3.65430	+	0.794945i	0.150701	+	0.0327830i
$589$	11.3393	−	13.0862i	0.467226	−	0.539208i
$590$	9.09723	+	5.40737i	0.374527	+	0.222618i
$591$	8.35404	+	5.36881i	0.343639	+	0.220843i
$592$	−0.559915	−	0.305737i	−0.0230124	−	0.0125657i
$593$	−0.778132	+	10.8797i	−0.0319541	+	0.446776i	0.956138	+	0.292915i	$0.0946253\pi$
$593$	−0.778132	+	10.8797i	−0.0319541	+	0.446776i	−0.988093	+	0.153861i	$0.950829\pi$
$594$	15.9528	+	4.68417i	0.654553	+	0.192194i
$595$	−1.10927	−	0.556359i	−0.0454757	−	0.0228085i
$596$	−3.40787	−	0.489978i	−0.139592	−	0.0200703i
$597$	−8.78921	−	8.78921i	−0.359718	−	0.359718i
$598$	−2.32856	−	5.87411i	−0.0952219	−	0.240210i
$599$		−	21.8705i		−	0.893603i	−0.894633	−	0.446801i	$-0.852563\pi$
$599$		−	21.8705i		−	0.893603i	0.894633	−	0.446801i	$-0.147437\pi$
$600$	0.975920	−	2.60396i	0.0398418	−	0.106306i
$601$	−13.5802	−	29.7364i	−0.553946	−	1.21297i	−0.954914	−	0.296881i	$-0.904053\pi$
$601$	−13.5802	−	29.7364i	−0.553946	−	1.21297i	0.400968	−	0.916092i	$-0.368674\pi$
$602$	4.41229	−	2.40929i	0.179832	−	0.0981954i
$603$	−10.2071	−	0.730026i	−0.415665	−	0.0297290i
$604$	−1.09973	−	3.74533i	−0.0447473	−	0.152395i
$605$	−3.93781	−	36.9016i	−0.160095	−	1.50026i
$606$	−1.67828	+	3.67492i	−0.0681754	+	0.149283i
$607$	−1.60110	−	22.3863i	−0.0649866	−	0.908631i	−0.920473	−	0.390806i	$-0.872196\pi$
$607$	−1.60110	−	22.3863i	−0.0649866	−	0.908631i	0.855487	−	0.517825i	$-0.173258\pi$
$608$	−1.57486	+	7.23952i	−0.0638691	+	0.293601i
$609$	0.323829	+	2.25228i	0.0131222	+	0.0912671i
$610$	21.9803	−	0.767620i	0.889956	−	0.0310800i
$611$	−12.5554	+	8.06885i	−0.507936	+	0.326431i
$612$	2.83619	−	0.202848i	0.114646	−	0.00819964i
$613$	10.0562	+	26.9617i	0.406165	+	1.08897i	0.965585	+	0.260087i	$0.0837512\pi$
$613$	10.0562	+	26.9617i	0.406165	+	1.08897i	−0.559420	+	0.828884i	$0.688976\pi$
$614$	−3.52847	+	5.49040i	−0.142397	+	0.221575i
$615$	1.60284	+	8.92435i	0.0646328	+	0.359864i
$616$	−1.80665	−	2.08499i	−0.0727920	−	0.0840065i
$617$	−12.5339	−	22.9540i	−0.504594	−	0.924095i	−0.998509	−	0.0545847i	$-0.982616\pi$
$617$	−12.5339	−	22.9540i	−0.504594	−	0.924095i	0.493915	−	0.869510i	$-0.335565\pi$
$618$	0.560923	+	0.209213i	0.0225636	+	0.00841579i
$619$	−2.25360	+	15.6741i	−0.0905798	+	0.629996i	0.893072	+	0.449914i	$0.148545\pi$
$619$	−2.25360	+	15.6741i	−0.0905798	+	0.629996i	−0.983652	+	0.180082i	$0.942364\pi$
$620$	−4.07179	+	3.27595i	−0.163527	+	0.131565i
$621$	−13.6754	+	6.58588i	−0.548775	+	0.264282i
$622$	−11.7919	+	11.7919i	−0.472811	+	0.472811i
$623$	3.37457	−	2.52617i	0.135199	−	0.101209i
$624$	−0.666563	+	0.304409i	−0.0266839	+	0.0121861i
$625$	18.8418	+	16.4312i	0.753674	+	0.657249i
$626$	−4.41472	+	3.82537i	−0.176448	+	0.152893i
$627$	−10.3739	+	18.9984i	−0.414295	+	0.758724i
$628$	0.638859	−	0.138975i	0.0254933	−	0.00554572i
$629$	−0.613243	−	0.280059i	−0.0244516	−	0.0111667i
$630$	−0.115274	+	3.15759i	−0.00459264	+	0.125801i
$631$	−16.0290	−	24.9415i	−0.638103	−	0.992907i	−0.998199	−	0.0599918i	$-0.980893\pi$
$631$	−16.0290	−	24.9415i	−0.638103	−	0.992907i	0.360096	−	0.932915i	$-0.382744\pi$
$632$	−3.66717	+	4.89876i	−0.145872	+	0.194862i
$633$	−2.75868	+	3.68516i	−0.109648	+	0.146472i
$634$	−4.13887	−	6.44020i	−0.164375	−	0.255773i
$635$	−27.2550	+	25.3351i	−1.08158	+	1.00539i
$636$	0.711554	+	0.324956i	0.0282150	+	0.0128853i
$637$	8.65709	−	1.88323i	0.343006	−	0.0746164i
$638$	−19.6134	+	35.9193i	−0.776504	+	1.42206i
$639$	−15.2324	+	13.1990i	−0.602585	+	0.522143i
$640$	0.857340	−	2.06518i	0.0338893	−	0.0816334i
$641$	32.7327	−	14.9485i	1.29286	−	0.590431i	0.354169	−	0.935182i	$-0.384764\pi$
$641$	32.7327	−	14.9485i	1.29286	−	0.590431i	0.938694	+	0.344751i	$0.112037\pi$
$642$	0.940520	−	0.704065i	0.0371194	−	0.0277872i
$643$	−22.3579	+	22.3579i	−0.881709	+	0.881709i	−0.993708	−	0.111999i	$-0.964275\pi$
$643$	−22.3579	+	22.3579i	−0.881709	+	0.881709i	0.111999	+	0.993708i	$0.464275\pi$
$644$	2.49977	+	0.307485i	0.0985048	+	0.0121166i
$645$	7.46253	+	9.27544i	0.293837	+	0.365220i
$646$	−1.11425	+	7.74975i	−0.0438394	+	0.304910i
$647$	17.3910	+	6.48650i	0.683710	+	0.255011i	0.667228	−	0.744853i	$-0.267481\pi$
$647$	17.3910	+	6.48650i	0.683710	+	0.255011i	0.0164822	+	0.999864i	$0.494753\pi$
$648$	−3.02492	−	5.53973i	−0.118830	−	0.217621i
$649$	16.2817	+	18.7901i	0.639112	+	0.737574i
$650$	−0.459574	−	6.57176i	−0.0180260	−	0.257766i
$651$	−0.369059	+	0.574267i	−0.0144646	+	0.0225073i
$652$	−6.57511	−	17.6286i	−0.257501	−	0.690387i
$653$	40.9582	−	2.92939i	1.60282	−	0.114636i	0.758937	−	0.651165i	$-0.225719\pi$
$653$	40.9582	−	2.92939i	1.60282	−	0.114636i	0.843882	+	0.536529i	$0.180265\pi$
$654$	6.56132	−	4.21671i	0.256568	−	0.164886i
$655$	4.39698	−	4.71521i	0.171804	−	0.184238i
$656$	1.03760	+	7.21669i	0.0405116	+	0.281765i
$657$	7.10770	−	32.6735i	0.277298	−	1.27472i
$658$	−0.424382	−	5.93364i	−0.0165441	−	0.231317i
$659$	−3.50237	+	7.66912i	−0.136433	+	0.298746i	−0.965500	−	0.260402i	$-0.916145\pi$
$659$	−3.50237	+	7.66912i	−0.136433	+	0.298746i	0.829067	+	0.559149i	$0.188872\pi$
$660$	4.10332	−	5.08367i	0.159721	−	0.197882i
$661$	11.8388	+	40.3192i	0.460475	+	1.56824i	0.783217	+	0.621748i	$0.213577\pi$
$661$	11.8388	+	40.3192i	0.460475	+	1.56824i	−0.322742	+	0.946487i	$0.604605\pi$
$662$	14.6071	+	1.04472i	0.567723	+	0.0406043i
$663$	−0.679660	+	0.371122i	−0.0263958	+	0.0144132i
$664$	1.79711	+	3.93511i	0.0697413	+	0.152712i
$665$	−8.42830	−	2.15830i	−0.326836	−	0.0836952i
$666$			1.71652i			0.0665137i
$667$	−8.68523	−	36.3384i	−0.336293	−	1.40703i
$668$	3.64166	+	3.64166i	0.140900	+	0.140900i
$669$	3.23610	+	0.465281i	0.125115	+	0.0179888i
$670$	−3.81264	+	7.60165i	−0.147295	+	0.293678i
$671$	49.5773	+	14.5572i	1.91391	+	0.561974i
$672$	0.0208367	−	0.291336i	0.000803794	−	0.0112385i
$673$	−8.53847	−	4.66236i	−0.329134	−	0.179721i	0.306182	−	0.951973i	$-0.400948\pi$
$673$	−8.53847	−	4.66236i	−0.329134	−	0.179721i	−0.635316	+	0.772252i	$0.719130\pi$
$674$	−19.3785	−	12.4538i	−0.746431	−	0.479702i
$675$	−15.6673	+	2.22732i	−0.603033	+	0.0857296i
$676$	7.37637	−	8.51278i	0.283707	−	0.327415i
$677$	2.46883	+	0.537060i	0.0948847	+	0.0206409i	0.259757	−	0.965674i	$-0.416358\pi$
$677$	2.46883	+	0.537060i	0.0948847	+	0.0206409i	−0.164872	+	0.986315i	$0.552721\pi$
$678$	9.16700	+	6.86233i	0.352056	+	0.263546i
$679$	3.04790	−	0.438222i	0.116968	−	0.0168174i
$680$	0.748011	−	2.24149i	0.0286849	−	0.0859574i
$681$	−5.47366	−	4.74296i	−0.209751	−	0.181750i
$682$	−11.5035	+	4.29058i	−0.440492	+	0.164295i
$683$	0.750076	+	3.44804i	0.0287008	+	0.131936i	0.989268	−	0.146113i	$-0.0466762\pi$
$683$	0.750076	+	3.44804i	0.0287008	+	0.131936i	−0.960567	+	0.278048i	$0.910313\pi$
$684$	19.1273	−	5.61628i	0.731351	−	0.214744i
$685$	14.4996	−	10.0503i	0.554002	−	0.384001i
$686$	−2.03059	+	6.91554i	−0.0775281	+	0.264037i
$687$	−1.17195	+	3.14212i	−0.0447126	+	0.119879i
$688$	5.73666	+	7.66328i	0.218708	+	0.292160i
$689$	1.85315			0.0705992
$690$	0.329760	+	5.95509i	0.0125538	+	0.226706i
$691$	6.22325			0.236744			0.118372	−	0.992969i	$-0.462233\pi$
$691$	6.22325			0.236744			0.118372	+	0.992969i	$0.462233\pi$
$692$	13.2248	+	17.6662i	0.502730	+	0.671568i
$693$	−2.59412	+	6.95510i	−0.0985424	+	0.264202i
$694$	−5.23196	+	17.8184i	−0.198602	+	0.676378i
$695$	−8.24404	−	1.49412i	−0.312714	−	0.0566753i
$696$	−4.15729	+	1.22069i	−0.157582	+	0.0462702i
$697$	1.63778	+	7.52873i	0.0620352	+	0.285171i
$698$	2.95553	−	1.10236i	0.111869	−	0.0417248i
$699$	2.88430	+	2.49926i	0.109094	+	0.0945306i
$700$	2.38681	+	1.09459i	0.0902131	+	0.0413715i
$701$	39.1319	−	5.62632i	1.47799	−	0.212503i	0.644317	−	0.764758i	$-0.277142\pi$
$701$	39.1319	−	5.62632i	1.47799	−	0.212503i	0.833675	+	0.552255i	$0.186233\pi$
$702$	3.33828	+	2.49901i	0.125995	+	0.0943190i
$703$	−4.61845	−	1.00468i	−0.174188	−	0.0378923i
$704$	3.44015	−	3.97014i	0.129655	−	0.149630i
$705$	13.6522	−	3.47303i	0.514173	−	0.130802i
$706$	1.92412	+	1.23656i	0.0724153	+	0.0465385i
$707$	−3.34819	−	1.82825i	−0.125922	−	0.0687585i
$708$	−0.187782	+	2.62554i	−0.00705729	+	0.0986738i
$709$	−32.3689	−	9.50437i	−1.21564	−	0.356944i	−0.389827	−	0.920888i	$-0.627465\pi$
$709$	−32.3689	−	9.50437i	−1.21564	−	0.356944i	−0.825813	+	0.563944i	$0.809283\pi$
$710$	5.27706	+	15.8970i	0.198044	+	0.596603i
$711$	16.2975	+	2.34323i	0.611205	+	0.0878780i
$712$	5.67574	+	5.67574i	0.212707	+	0.212707i
$713$	5.16981	−	9.94509i	0.193611	−	0.372447i
$714$		−	0.308661i		−	0.0115514i
$715$	3.83940	−	14.9931i	0.143585	−	0.560711i
$716$	5.03987	+	11.0358i	0.188349	+	0.412426i
$717$	3.96593	−	2.16556i	0.148110	−	0.0808744i
$718$	−5.90117	−	0.422060i	−0.220230	−	0.0157511i
$719$	−5.00629	−	17.0499i	−0.186703	−	0.635852i	−0.998641	−	0.0521090i	$-0.983406\pi$
$719$	−5.00629	−	17.0499i	−0.186703	−	0.635852i	0.811938	−	0.583743i	$-0.198412\pi$
$720$	−5.98258	+	0.638407i	−0.222957	+	0.0237920i
$721$	−0.234835	+	0.514216i	−0.00874570	+	0.0191504i
$722$	2.56043	+	35.7994i	0.0952892	+	1.33232i
$723$	−1.85704	+	8.53665i	−0.0690639	+	0.317482i
$724$	−2.21653	−	15.4163i	−0.0823768	−	0.572943i
$725$	2.84030	−	38.8488i	0.105486	−	1.44281i
$726$	7.76516	−	4.99036i	0.288192	−	0.185210i
$727$	−29.6577	+	2.12116i	−1.09994	+	0.0786694i	−0.609486	−	0.792796i	$-0.708624\pi$
$727$	−29.6577	+	2.12116i	−1.09994	+	0.0786694i	−0.490456	+	0.871466i	$0.663170\pi$
$728$	−0.241808	−	0.648313i	−0.00896201	−	0.0240281i
$729$	−6.32674	+	9.84460i	−0.234324	+	0.364615i
$730$	−22.8132	−	15.8663i	−0.844355	−	0.587236i
$731$	6.62461	+	7.64521i	0.245020	+	0.282768i
$732$	2.62167	+	4.80123i	0.0968998	+	0.177459i
$733$	−36.0395	−	13.4420i	−1.33115	−	0.496493i	−0.419610	−	0.907705i	$-0.637833\pi$
$733$	−36.0395	−	13.4420i	−1.33115	−	0.496493i	−0.911540	+	0.411211i	$0.865106\pi$
$734$	−3.09697	+	21.5399i	−0.114311	+	0.795052i
$735$	−8.31375	−	0.900473i	−0.306657	−	0.0332145i
$736$	0.0978717	+	4.79483i	0.00360760	+	0.176740i
$737$	−14.1274	+	14.1274i	−0.520388	+	0.520388i
$738$	15.7046	−	11.7563i	0.578095	−	0.432756i
$739$	33.1917	−	15.1581i	1.22097	−	0.557600i	0.302526	−	0.953141i	$-0.402170\pi$
$739$	33.1917	−	15.1581i	1.22097	−	0.557600i	0.918448	+	0.395541i	$0.129443\pi$
$740$	1.31748	+	0.546939i	0.0484315	+	0.0201059i
$741$	−4.10302	+	3.55528i	−0.150728	+	0.130607i
$742$	−0.353995	+	0.648293i	−0.0129956	+	0.0237996i
$743$	−22.2454	+	4.83918i	−0.816104	+	0.177532i	−0.601196	−	0.799102i	$-0.705309\pi$
$743$	−22.2454	+	4.83918i	−0.816104	+	0.177532i	−0.214908	+	0.976634i	$0.568945\pi$
$744$	−1.18238	−	0.539973i	−0.0433480	−	0.0197964i
$745$	7.69348	+	0.280867i	0.281867	+	0.0102902i
$746$	2.38181	+	3.70617i	0.0872042	+	0.135692i
$747$	6.97560	−	9.31832i	0.255224	−	0.340939i
$748$	3.32687	−	4.44418i	0.121643	−	0.162495i
$749$	0.599772	+	0.933264i	0.0219152	+	0.0341007i
$750$	−1.55207	+	6.02130i	−0.0566737	+	0.219867i
$751$	−34.3558	−	15.6898i	−1.25366	−	0.572528i	−0.325794	−	0.945441i	$-0.605632\pi$
$751$	−34.3558	−	15.6898i	−1.25366	−	0.572528i	−0.927866	+	0.372913i	$0.878359\pi$
$752$	11.0686	−	2.40782i	0.403629	−	0.0878042i
$753$	2.73651	−	5.01154i	0.0997238	−	0.182631i
$754$	−7.75736	+	6.72179i	−0.282506	+	0.244793i
$755$	3.33382	+	8.06660i	0.121330	+	0.293574i
$756$	−1.51193	+	0.690475i	−0.0549883	+	0.0251123i
$757$	26.3332	−	19.7128i	0.957096	−	0.716473i	−0.00186877	−	0.999998i	$-0.500595\pi$
$757$	26.3332	−	19.7128i	0.957096	−	0.716473i	0.958965	+	0.283525i	$0.0915039\pi$
$758$	18.2961	−	18.2961i	0.664544	−	0.664544i
$759$	−3.67241	+	13.5220i	−0.133300	+	0.490819i
$760$	1.78392	−	16.4703i	0.0647097	−	0.597442i
$761$	3.68712	−	25.6445i	0.133658	−	0.929612i	−0.807071	−	0.590454i	$-0.798949\pi$
$761$	3.68712	−	25.6445i	0.133658	−	0.929612i	0.940729	−	0.339158i	$-0.110142\pi$
$762$	−8.67189	−	3.23445i	−0.314150	−	0.117172i
$763$	3.52955	+	6.46388i	0.127778	+	0.234008i
$764$	3.43509	+	3.96431i	0.124277	+	0.143424i
$765$	−6.25797	+	1.12395i	−0.226257	+	0.0406366i
$766$	−17.6356	+	27.4416i	−0.637202	+	0.991506i
$767$	2.17920	+	5.84265i	0.0786862	+	0.210966i
$768$	0.554748	−	0.0396764i	0.0200178	−	0.00143170i
$769$	−24.8725	+	15.9846i	−0.896924	+	0.576418i	−0.905876	−	0.423542i	$-0.860787\pi$
$769$	−24.8725	+	15.9846i	−0.896924	+	0.576418i	0.00895272	+	0.999960i	$0.497150\pi$
$770$	4.51168	+	4.20719i	0.162590	+	0.151617i
$771$	−2.18051	−	15.1658i	−0.0785291	−	0.546182i
$772$	−3.95609	+	18.1858i	−0.142383	+	0.654523i
$773$	−2.03740	−	28.4865i	−0.0732801	−	1.02459i	−0.892482	−	0.451084i	$-0.851038\pi$
$773$	−2.03740	−	28.4865i	−0.0732801	−	1.02459i	0.819202	−	0.573506i	$-0.194417\pi$
$774$	10.6998	−	23.4293i	0.384596	−	0.842148i
$775$	8.27612	−	8.24998i	0.297287	−	0.296348i
$776$	1.65190	+	5.62586i	0.0592998	+	0.201956i
$777$	0.185857	+	0.0132928i	0.00666759	+	0.000476876i
$778$	−17.6509	+	9.63813i	−0.632816	+	0.345544i
$779$	22.4395	+	49.1357i	0.803979	+	1.76047i
$780$	1.40984	−	0.834989i	0.0504803	−	0.0298974i
$781$			39.3511i			1.40809i
$782$	0.464643	+	5.04675i	0.0166156	+	0.180471i
$783$	17.4348	+	17.4348i	0.623070	+	0.623070i
$784$	−6.65576	−	0.956953i	−0.237706	−	0.0341769i
$785$	−1.38749	+	0.460583i	−0.0495218	+	0.0164389i
$786$	1.53863	+	0.451781i	0.0548810	+	0.0161145i
$787$	3.73501	−	52.2222i	0.133139	−	1.86152i	−0.292034	−	0.956408i	$-0.594332\pi$
$787$	3.73501	−	52.2222i	0.133139	−	1.86152i	0.425172	−	0.905112i	$-0.360214\pi$
$788$	−15.6712	−	8.55710i	−0.558262	−	0.304834i
$789$	−10.1339	−	6.51266i	−0.360777	−	0.231857i
$790$	6.99143	−	11.7622i	0.248744	−	0.418481i
$791$	−7.08085	+	8.17174i	−0.251766	+	0.290554i
$792$	−13.8118	−	3.00457i	−0.490780	−	0.106763i
$793$	10.3745	+	7.76627i	0.368410	+	0.275788i
$794$	−20.0402	+	2.88134i	−0.711199	+	0.102255i
$795$	−1.65920	−	0.553694i	−0.0588459	−	0.0196375i
$796$	16.8904	+	14.6356i	0.598663	+	0.518744i
$797$	−11.0339	+	4.11544i	−0.390841	+	0.145776i	−0.537199	−	0.843455i	$-0.680518\pi$
$797$	−11.0339	+	4.11544i	−0.390841	+	0.145776i	0.146358	+	0.989232i	$0.453245\pi$
$798$	−0.459985	−	2.11452i	−0.0162833	−	0.0748531i
$799$	11.4856	−	3.37248i	0.406332	−	0.119310i
$800$	−1.41625	+	4.79523i	−0.0500720	+	0.169537i
$801$	6.08466	−	20.7225i	0.214991	−	0.732192i
$802$	11.7063	−	31.3859i	0.413365	−	1.10827i
$803$	−39.1228	−	52.2620i	−1.38061	−	1.84429i
$804$	−2.11520			−0.0745975
$805$	−5.63106	−	0.0905655i	−0.198469	−	0.00319201i
$806$	−3.07934			−0.108465
$807$	4.34076	+	5.79858i	0.152802	+	0.204120i
$808$	2.53852	−	6.80603i	0.0893047	−	0.239435i
$809$	−15.6159	+	53.1828i	−0.549025	+	1.86981i	−0.0586831	+	0.998277i	$0.518690\pi$
$809$	−15.6159	+	53.1828i	−0.549025	+	1.86981i	−0.490342	+	0.871530i	$0.663128\pi$
$810$	8.04014	+	11.5996i	0.282502	+	0.407568i
$811$	22.1255	−	6.49663i	0.776931	−	0.228128i	0.130856	−	0.991401i	$-0.458227\pi$
$811$	22.1255	−	6.49663i	0.776931	−	0.228128i	0.646075	+	0.763274i	$0.276409\pi$
$812$	−0.869670	−	3.99781i	−0.0305194	−	0.140296i
$813$	−1.92847	+	0.719283i	−0.0676345	+	0.0252264i
$814$	2.53275	+	2.19464i	0.0887727	+	0.0769220i
$815$	18.8020	+	37.6361i	0.658607	+	1.31833i
$816$	0.581757	−	0.0836440i	0.0203656	−	0.00292813i
$817$	56.7760	+	42.5020i	1.98634	+	1.48696i
$818$	8.40812	+	1.82908i	0.293983	+	0.0639521i
$819$	−1.21921	+	1.40705i	−0.0426027	+	0.0491662i
$820$	−4.01933	−	15.7997i	−0.140361	−	0.551750i
$821$	−32.7325	−	21.0359i	−1.14237	−	0.734157i	−0.174265	−	0.984699i	$-0.555755\pi$
$821$	−32.7325	−	21.0359i	−1.14237	−	0.734157i	−0.968106	+	0.250542i	$0.919391\pi$
$822$	3.85130	+	2.10297i	0.134329	+	0.0733494i
$823$	−3.30595	+	46.2232i	−0.115238	+	1.61124i	0.530504	+	0.847682i	$0.322003\pi$
$823$	−3.30595	+	46.2232i	−0.115238	+	1.61124i	−0.645742	+	0.763556i	$0.723452\pi$
$824$	−1.03282	−	0.303263i	−0.0359800	−	0.0105647i
$825$	−7.91731	+	12.2768i	−0.275646	+	0.427425i
$826$	−2.46024	−	0.353728i	−0.0856025	−	0.0123078i
$827$	22.8503	+	22.8503i	0.794583	+	0.794583i	0.982235	−	0.187653i	$-0.0600879\pi$
$827$	22.8503	+	22.8503i	0.794583	+	0.794583i	−0.187653	+	0.982235i	$0.560088\pi$
$828$	11.1970	−	6.41409i	0.389124	−	0.222905i
$829$		−	13.5060i		−	0.469082i	−0.972106	−	0.234541i	$-0.924641\pi$
$829$		−	13.5060i		−	0.469082i	0.972106	−	0.234541i	$-0.0753588\pi$
$830$	−4.92944	−	8.32312i	−0.171103	−	0.288900i
$831$	−4.37064	−	9.57036i	−0.151616	−	0.331992i
$832$	1.15640	−	0.631441i	0.0400909	−	0.0218913i
$833$	−7.08783	−	0.506932i	−0.245579	−	0.0175641i
$834$	−0.587103	−	1.99949i	−0.0203297	−	0.0692367i
$835$	−8.96108	−	7.23299i	−0.310111	−	0.250308i
$836$	16.1681	−	35.4033i	0.559187	−	1.22445i
$837$	0.527694	+	7.37813i	0.0182398	+	0.255025i
$838$	−2.03684	+	9.36320i	−0.0703615	+	0.323446i
$839$	−7.03619	−	48.9378i	−0.242916	−	1.68952i	−0.637333	−	0.770589i	$-0.719962\pi$
$839$	−7.03619	−	48.9378i	−0.242916	−	1.68952i	0.394416	−	0.918932i	$-0.370947\pi$
$840$	0.0227947	+	0.652712i	0.000786493	+	0.0225207i
$841$	−26.6608	+	17.1338i	−0.919337	+	0.590822i
$842$	−9.89348	+	0.707596i	−0.340952	+	0.0243854i
$843$	−3.83648	−	10.2860i	−0.132135	−	0.354269i
$844$	4.47484	−	6.96299i	0.154030	−	0.239676i
$845$	−14.3812	+	20.6779i	−0.494727	+	0.711340i
$846$	−19.9592	−	23.0341i	−0.686211	−	0.791929i
$847$	4.17713	+	7.64984i	0.143528	+	0.262851i
$848$	−1.31782	−	0.491520i	−0.0452540	−	0.0168789i
$849$	1.64341	−	11.4302i	0.0564017	−	0.392283i
$850$	−1.13133	+	5.16132i	−0.0388043	+	0.177032i
$851$	−3.05886	+	0.0624372i	−0.104856	+	0.00214032i
$852$	−2.94590	+	2.94590i	−0.100925	+	0.100925i
$853$	26.6226	−	19.9294i	0.911540	−	0.682370i	−0.0369028	−	0.999319i	$-0.511749\pi$
$853$	26.6226	−	19.9294i	0.911540	−	0.682370i	0.948443	+	0.316949i	$0.102658\pi$
$854$	−4.69868	+	2.14582i	−0.160786	+	0.0734283i
$855$	−41.1960	+	17.0258i	−1.40887	+	0.582269i
$856$	−1.59646	+	1.38334i	−0.0545659	+	0.0472816i
$857$	2.87548	−	5.26605i	0.0982246	−	0.179885i	−0.823946	−	0.566668i	$-0.808232\pi$
$857$	2.87548	−	5.26605i	0.0982246	−	0.179885i	0.922171	+	0.386783i	$0.126414\pi$
$858$	3.76152	−	0.818268i	0.128416	−	0.0279352i
$859$	12.2946	+	5.61474i	0.419485	+	0.191572i	0.613964	−	0.789334i	$-0.289574\pi$
$859$	12.2946	+	5.61474i	0.419485	+	0.191572i	−0.194478	+	0.980907i	$0.562301\pi$
$860$	−14.5734	−	15.6778i	−0.496948	−	0.534607i
$861$	−1.15131	−	1.79147i	−0.0392365	−	0.0610531i
$862$	14.5525	−	19.4399i	0.495661	−	0.662126i
$863$	15.1427	−	20.2283i	0.515464	−	0.688580i	−0.464992	−	0.885315i	$-0.653943\pi$
$863$	15.1427	−	20.2283i	0.515464	−	0.688580i	0.980457	+	0.196735i	$0.0630338\pi$
$864$	−1.71111	−	2.66253i	−0.0582130	−	0.0905812i
$865$	−33.5961	−	36.1420i	−1.14230	−	1.22887i
$866$	−2.97654	−	1.35934i	−0.101147	−	0.0461923i
$867$	−8.63183	+	1.87774i	−0.293152	+	0.0637714i
$868$	0.588226	−	1.07726i	0.0199657	−	0.0365645i
$869$	24.2945	−	21.0513i	0.824135	−	0.714117i
$870$	8.95388	−	3.70052i	0.303565	−	0.125460i
$871$	−4.55812	+	2.08162i	−0.154446	+	0.0705331i
$872$	−11.2265	+	8.40405i	−0.380177	+	0.284597i
$873$	11.1556	−	11.1556i	0.377561	−	0.377561i
$874$	10.7040	+	33.8809i	0.362070	+	1.14604i
$875$	−5.56666	−	1.86745i	−0.188187	−	0.0631312i
$876$	0.983623	−	6.84125i	0.0332335	−	0.231144i
$877$	−23.7837	−	8.87087i	−0.803119	−	0.299548i	−0.0858176	−	0.996311i	$-0.527350\pi$
$877$	−23.7837	−	8.87087i	−0.803119	−	0.299548i	−0.717302	+	0.696763i	$0.754623\pi$
$878$	10.6025	+	19.4171i	0.357819	+	0.655296i
$879$	0.0592100	+	0.0683320i	0.00199710	+	0.00230478i
$880$	−6.70699	+	9.64361i	−0.226093	+	0.325086i
$881$	−8.39993	+	13.0705i	−0.283001	+	0.440358i	−0.953429	−	0.301616i	$-0.902474\pi$
$881$	−8.39993	+	13.0705i	−0.283001	+	0.440358i	0.670429	+	0.741974i	$0.266110\pi$
$882$	6.32274	+	16.9519i	0.212898	+	0.570801i
$883$	10.0467	−	0.718556i	0.338099	−	0.0241813i	0.0987425	−	0.995113i	$-0.468518\pi$
$883$	10.0467	−	0.718556i	0.338099	−	0.0241813i	0.239357	+	0.970932i	$0.423063\pi$
$884$	1.17133	−	0.752767i	0.0393960	−	0.0253183i
$885$	−0.205428	−	5.88230i	−0.00690539	−	0.197731i
$886$	4.36358	+	30.3494i	0.146597	+	1.01961i
$887$	−11.9253	+	54.8198i	−0.400413	+	1.84067i	0.128124	+	0.991758i	$0.459104\pi$
$887$	−11.9253	+	54.8198i	−0.400413	+	1.84067i	−0.528537	+	0.848910i	$0.677259\pi$
$888$	0.0253115	+	0.353901i	0.000849399	+	0.0118762i
$889$	3.63056	−	7.94981i	0.121765	−	0.266628i
$890$	−13.9664	−	11.2730i	−0.468153	−	0.377873i
$891$	9.34153	+	31.8143i	0.312953	+	1.06582i
$892$	−5.86345	−	0.419362i	−0.196323	−	0.0140413i
$893$	73.6576	−	40.2201i	2.46486	−	1.34591i
$894$	0.795450	+	1.74179i	0.0266038	+	0.0582543i
$895$	−13.8243	−	23.3416i	−0.462095	−	0.780225i
$896$			0.525167i			0.0175446i
$897$	−2.04819	+	2.85574i	−0.0683871	+	0.0953503i
$898$	−28.3919	−	28.3919i	−0.947450	−	0.947450i
$899$	−18.0222	−	2.59120i	−0.601074	−	0.0864214i
$900$	13.1505	−	2.83893i	0.438348	−	0.0946309i
$901$	−1.42614	−	0.418751i	−0.0475114	−	0.0139506i
$902$	2.73236	−	38.2033i	0.0909775	−	1.27203i
$903$	−2.45396	−	1.33997i	−0.0816628	−	0.0445913i
$904$	−17.3207	−	11.1314i	−0.576079	−	0.370223i
$905$	8.58611	+	33.7514i	0.285412	+	1.12194i
$906$	−1.42168	+	1.64070i	−0.0472321	+	0.0545087i
$907$	−32.0464	−	6.97127i	−1.06408	−	0.231477i	−0.353748	−	0.935341i	$-0.615093\pi$
$907$	−32.0464	−	6.97127i	−1.06408	−	0.231477i	−0.710335	+	0.703864i	$0.751457\pi$
$908$	10.4251	+	7.80412i	0.345969	+	0.258989i
$909$	−19.3462	+	2.78157i	−0.641674	+	0.0922588i
$910$	0.691470	+	1.38412i	0.0229220	+	0.0458830i
$911$	7.84903	+	6.80122i	0.260050	+	0.225334i	0.775121	−	0.631813i	$-0.217689\pi$
$911$	7.84903	+	6.80122i	0.260050	+	0.225334i	−0.515071	+	0.857148i	$0.672234\pi$
$912$	3.86074	−	1.43998i	0.127842	−	0.0476825i
$913$	−4.83072	−	22.2065i	−0.159873	−	0.734927i
$914$	20.7027	−	6.07886i	0.684784	−	0.201071i
$915$	−6.96831	−	10.0532i	−0.230365	−	0.332350i
$916$	1.69879	−	5.78554i	0.0561295	−	0.191160i
$917$	−0.529160	+	1.41873i	−0.0174744	+	0.0468507i
$918$	−2.00437	−	2.67752i	−0.0661539	−	0.0883713i
$919$	−28.9282			−0.954253			−0.477126	−	0.878835i	$-0.658322\pi$
$919$	−28.9282			−0.954253			−0.477126	+	0.878835i	$0.658322\pi$
$920$	−1.35526	−	10.6378i	−0.0446817	−	0.350719i
$921$	3.62979			0.119606
$922$	−9.72131	−	12.9862i	−0.320154	−	0.427676i
$923$	−3.44908	+	9.24733i	−0.113528	+	0.304380i
$924$	−0.432281	+	1.47221i	−0.0142210	+	0.0484323i
$925$	−3.05911	−	0.903496i	−0.100583	−	0.0297068i
$926$	2.62618	−	0.771116i	0.0863016	−	0.0253404i
$927$	0.615654	+	2.83012i	0.0202207	+	0.0929532i
$928$	7.29930	−	2.72250i	0.239611	−	0.0893704i
$929$	−14.5723	−	12.6270i	−0.478102	−	0.414278i	0.382187	−	0.924085i	$-0.375171\pi$
$929$	−14.5723	−	12.6270i	−0.478102	−	0.414278i	−0.860289	+	0.509808i	$0.829717\pi$
$930$	2.75707	+	0.920063i	0.0904077	+	0.0301700i
$931$	−49.3114	+	7.08991i	−1.61612	+	0.232362i
$932$	−5.49340	−	4.11231i	−0.179942	−	0.134703i
$933$	9.06279	+	1.97149i	0.296702	+	0.0645437i
$934$	−13.7690	+	15.8903i	−0.450536	+	0.519946i
$935$	−6.34267	+	10.6708i	−0.207427	+	0.348971i
$936$	−2.98236	−	1.91665i	−0.0974815	−	0.0626476i
$937$	−51.4904	−	28.1159i	−1.68212	−	0.918505i	−0.978050	−	0.208372i	$-0.933183\pi$
$937$	−51.4904	−	28.1159i	−1.68212	−	0.918505i	−0.704067	−	0.710133i	$-0.748635\pi$
$938$	0.142487	−	1.99222i	0.00465235	−	0.0650483i
$939$	3.11724	+	0.915305i	0.101727	+	0.0298699i
$940$	−24.0391	+	7.97985i	−0.784067	+	0.260274i
$941$	7.01161	+	1.00812i	0.228572	+	0.0328637i	0.255649	−	0.966770i	$-0.417711\pi$
$941$	7.01161	+	1.00812i	0.228572	+	0.0328637i	−0.0270771	+	0.999633i	$0.508620\pi$
$942$	−0.257119	−	0.257119i	−0.00837739	−	0.00837739i
$943$	21.5212	+	27.5582i	0.700826	+	0.897419i
$944$		−	4.73285i		−	0.154041i
$945$	3.19786	−	1.89396i	0.104026	−	0.0616106i
$946$	−20.8901	−	45.7430i	−0.679197	−	1.48723i
$947$	46.7003	−	25.5003i	1.51755	−	0.828647i	0.517913	−	0.855433i	$-0.326709\pi$
$947$	46.7003	−	25.5003i	1.51755	−	0.828647i	0.999641	+	0.0267858i	$0.00852720\pi$
$948$	3.39468	+	0.242792i	0.110254	+	0.00788553i
$949$	−4.61299	−	15.7104i	−0.149744	−	0.509981i
$950$	−0.0586026	+	37.0441i	−0.00190132	+	1.20187i
$951$	−1.76872	+	3.87295i	−0.0573546	+	0.125589i
$952$	0.0395919	+	0.553567i	0.00128318	+	0.0179412i
$953$	−8.70173	+	40.0012i	−0.281877	+	1.29577i	0.590542	+	0.807007i	$0.298914\pi$
$953$	−8.70173	+	40.0012i	−0.281877	+	1.29577i	−0.872419	+	0.488760i	$0.837450\pi$
$954$	0.538580	+	3.74591i	0.0174372	+	0.121278i
$955$	−8.57833	−	7.99939i	−0.277588	−	0.258854i
$956$	−6.83491	+	4.39253i	−0.221057	+	0.142064i
$957$	22.7033	−	1.62377i	0.733893	−	0.0524891i
$958$	9.69028	+	25.9806i	0.313079	+	0.839397i
$959$	−2.24013	+	3.48571i	−0.0723376	+	0.112560i
$960$	−1.22404	+	0.219841i	−0.0395057	+	0.00709535i
$961$	16.7237	+	19.3001i	0.539473	+	0.622585i
$962$	0.402827	+	0.737723i	0.0129877	+	0.0237851i
$963$	5.32548	+	1.98630i	0.171611	+	0.0640076i
$964$	2.23550	−	15.5482i	0.0720005	−	0.500774i
$965$	4.48126	−	41.3739i	0.144257	−	1.33187i
$966$	−0.607781	−	1.26204i	−0.0195550	−	0.0406055i
$967$	9.82303	−	9.82303i	0.315887	−	0.315887i	−0.531298	−	0.847185i	$-0.678295\pi$
$967$	9.82303	−	9.82303i	0.315887	−	0.315887i	0.847185	+	0.531298i	$0.178295\pi$
$968$	−13.2863	+	9.94597i	−0.427037	+	0.319676i
$969$	3.96096	−	1.80891i	0.127244	−	0.0581106i
$970$	−5.00773	−	12.1168i	−0.160789	−	0.389048i
$971$	−33.1961	+	28.7646i	−1.06531	+	0.923099i	−0.997215	−	0.0745794i	$-0.976239\pi$
$971$	−33.1961	+	28.7646i	−1.06531	+	0.923099i	−0.0680982	+	0.997679i	$0.521693\pi$
$972$	−6.23277	+	11.4145i	−0.199916	+	0.366119i
$973$	1.92278	−	0.418276i	0.0616416	−	0.0134093i
$974$	−12.6201	−	5.76340i	−0.404374	−	0.184671i
$975$	−2.93658	+	2.19106i	−0.0940460	+	0.0701701i
$976$	−5.31768	−	8.27446i	−0.170215	−	0.264859i
$977$	−4.39223	+	5.86733i	−0.140520	+	0.187712i	−0.865280	−	0.501289i	$-0.832860\pi$
$977$	−4.39223	+	5.86733i	−0.140520	+	0.187712i	0.724760	+	0.689001i	$0.241950\pi$
$978$	−6.27094	+	8.37699i	−0.200522	+	0.267867i
$979$	−22.7968	−	35.4725i	−0.728589	−	1.13371i
$980$	15.0258	+	0.548547i	0.479980	+	0.0175227i
$981$	34.3232	+	15.6749i	1.09586	+	0.500461i
$982$	4.74092	−	1.03132i	0.151289	−	0.0329109i
$983$	3.36274	−	6.15839i	0.107255	−	0.196422i	−0.818539	−	0.574450i	$-0.805216\pi$
$983$	3.36274	−	6.15839i	0.107255	−	0.196422i	0.925794	+	0.378028i	$0.123398\pi$
$984$	3.06453	−	2.65543i	0.0976935	−	0.0846519i
$985$	36.8743	+	15.3080i	1.17491	+	0.487753i
$986$	7.48878	−	3.42001i	0.238491	−	0.108915i
$987$	−2.64860	+	1.98272i	−0.0843059	+	0.0631106i
$988$	6.90250	−	6.90250i	0.219598	−	0.219598i
$989$	42.1405	+	18.2150i	1.33999	+	0.579202i
$990$	31.4226	+	3.40342i	0.998676	+	0.108168i
$991$	−1.13966	+	7.92653i	−0.0362026	+	0.251795i	−0.999884	−	0.0152617i	$-0.995142\pi$
$991$	−1.13966	+	7.92653i	−0.0362026	+	0.251795i	0.963681	+	0.267056i	$0.0860510\pi$
$992$	2.18979	+	0.816749i	0.0695259	+	0.0259318i
$993$	−3.90336	−	7.14847i	−0.123869	−	0.226850i
$994$	−2.57617	−	2.97306i	−0.0817112	−	0.0942998i
$995$	−41.0273	−	28.5339i	−1.30065	−	0.904585i
$996$	1.30078	−	2.02406i	0.0412169	−	0.0641347i
$997$	−4.04227	−	10.8377i	−0.128020	−	0.343235i	0.857088	−	0.515169i	$-0.172271\pi$
$997$	−4.04227	−	10.8377i	−0.128020	−	0.343235i	−0.985108	+	0.171935i	$0.944998\pi$
$998$	−34.4764	+	2.46580i	−1.09133	+	0.0780536i
$999$	1.69856	−	1.09160i	0.0537401	−	0.0345367i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.153.11	yes	240
5.2	odd	4	inner	230.2.l.a.107.2	yes	240
23.20	odd	22	inner	230.2.l.a.43.2	✓	240
115.112	even	44	inner	230.2.l.a.227.11	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.43.2	✓	240	23.20	odd	22	inner
230.2.l.a.107.2	yes	240	5.2	odd	4	inner
230.2.l.a.153.11	yes	240	1.1	even	1	trivial
230.2.l.a.227.11	yes	240	115.112	even	44	inner

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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.599278 + 0.800541i) q^{2} +(0.194360 - 0.521099i) q^{3} +(-0.281733 + 0.959493i) q^{4} +(0.398761 - 2.20022i) q^{5} +(0.533637 - 0.156690i) q^{6} +(0.111632 + 0.513165i) q^{7} +(-0.936950 + 0.349464i) q^{8} +(2.03348 + 1.76202i) q^{9} +(2.00034 - 0.999321i) q^{10} +(5.19978 - 0.747615i) q^{11} +(0.445233 + 0.333298i) q^{12} +(1.28745 + 0.280068i) q^{13} +(-0.343911 + 0.396895i) q^{14} +(-1.06903 - 0.635430i) q^{15} +(-0.841254 - 0.540641i) q^{16} +(-0.927505 - 0.506456i) q^{17} +(-0.191951 + 2.68382i) q^{18} +(-7.10873 - 2.08731i) q^{19} +(1.99876 + 1.00248i) q^{20} +(0.289107 + 0.0415673i) q^{21} +(3.71461 + 3.71461i) q^{22} +(-4.78960 - 0.244437i) q^{23} +0.556166i q^{24} +(-4.68198 - 1.75473i) q^{25} +(0.547335 + 1.19850i) q^{26} +(2.77782 - 1.51680i) q^{27} +(-0.523829 - 0.0374650i) q^{28} +(2.19483 + 7.47492i) q^{29} +(-0.131959 - 1.23660i) q^{30} +(-0.970886 + 2.12594i) q^{31} +(-0.0713392 - 0.997452i) q^{32} +(0.621047 - 2.85491i) q^{33} +(-0.150394 - 1.04601i) q^{34} +(1.17359 - 0.0409855i) q^{35} +(-2.26354 + 1.45469i) q^{36} +(0.636324 - 0.0455108i) q^{37} +(-2.58912 - 6.94171i) q^{38} +(0.396172 - 0.616456i) q^{39} +(0.395280 + 2.20085i) q^{40} +(-4.77453 - 5.51010i) q^{41} +(0.139979 + 0.256352i) q^{42} +(-8.96907 - 3.34529i) q^{43} +(-0.747615 + 5.19978i) q^{44} +(4.68772 - 3.77149i) q^{45} +(-2.67462 - 3.98076i) q^{46} +(-8.00971 + 8.00971i) q^{47} +(-0.445233 + 0.333298i) q^{48} +(6.11655 - 2.79333i) q^{49} +(-1.40107 - 4.79969i) q^{50} +(-0.444184 + 0.384887i) q^{51} +(-0.631441 + 1.15640i) q^{52} +(1.37435 - 0.298972i) q^{53} +(2.87895 + 1.31477i) q^{54} +(0.428549 - 11.7388i) q^{55} +(-0.283927 - 0.441798i) q^{56} +(-2.46935 + 3.29866i) q^{57} +(-4.66867 + 6.23661i) q^{58} +(2.55877 + 3.98152i) q^{59} +(0.910872 - 0.846707i) q^{60} +(8.94703 + 4.08597i) q^{61} +(-2.28374 + 0.496796i) q^{62} +(-0.677206 + 1.24021i) q^{63} +(0.755750 - 0.654861i) q^{64} +(1.12960 - 2.72100i) q^{65} +(2.65765 - 1.21371i) q^{66} +(-3.04461 + 2.27917i) q^{67} +(0.747249 - 0.747249i) q^{68} +(-1.05828 + 2.44835i) q^{69} +(0.736119 + 0.914948i) q^{70} +(-1.06605 + 7.41456i) q^{71} +(-2.52103 - 0.940296i) q^{72} +(-5.95574 - 10.9071i) q^{73} +(0.417768 + 0.482130i) q^{74} +(-1.82438 + 2.09873i) q^{75} +(4.00552 - 6.23271i) q^{76} +(0.964113 + 2.58489i) q^{77} +(0.730916 - 0.0522761i) q^{78} +(5.14789 - 3.30835i) q^{79} +(-1.52499 + 1.63536i) q^{80} +(0.898263 + 6.24755i) q^{81} +(1.54979 - 7.12428i) q^{82} +(-0.308617 - 4.31503i) q^{83} +(-0.121334 + 0.265685i) q^{84} +(-1.48417 + 1.83876i) q^{85} +(-2.69692 - 9.18487i) q^{86} +(4.32176 + 0.309099i) q^{87} +(-4.61066 + 2.51761i) q^{88} +(-3.33441 - 7.30135i) q^{89} +(5.82847 + 1.49254i) q^{90} +0.691940i q^{91} +(1.58392 - 4.52672i) q^{92} +(0.919126 + 0.919126i) q^{93} +(-11.2121 - 1.61206i) q^{94} +(-7.42724 + 14.8085i) q^{95} +(-0.533637 - 0.156690i) q^{96} +(0.418287 - 5.84842i) q^{97} +(5.90169 + 3.22257i) q^{98} +(11.8910 + 7.64185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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