LMFDB - Embedded newform 230.2.l.a.203.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(7,230)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

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")

//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);

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: f = N[0] # Warning: the index may be different

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			203.3
Character	$\chi$	$=$	230.203
Dual form			230.2.l.a.17.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.936950 - 0.349464i) q^{2} +(-0.565213 - 0.308630i) q^{3} +(0.755750 + 0.654861i) q^{4} +(-1.72918 + 1.41772i) q^{5} +(0.421721 + 0.486692i) q^{6} +(1.82117 - 2.43280i) q^{7} +(-0.479249 - 0.877679i) q^{8} +(-1.39771 - 2.17488i) q^{9} +O(q^{10})$	\(q+(-0.936950 - 0.349464i) q^{2} +(-0.565213 - 0.308630i) q^{3} +(0.755750 + 0.654861i) q^{4} +(-1.72918 + 1.41772i) q^{5} +(0.421721 + 0.486692i) q^{6} +(1.82117 - 2.43280i) q^{7} +(-0.479249 - 0.877679i) q^{8} +(-1.39771 - 2.17488i) q^{9} +(2.11560 - 0.724045i) q^{10} +(1.38662 + 0.633249i) q^{11} +(-0.225050 - 0.603382i) q^{12} +(3.84199 - 2.87608i) q^{13} +(-2.55652 + 1.64298i) q^{14} +(1.41491 - 0.267637i) q^{15} +(0.142315 + 0.989821i) q^{16} +(0.428269 - 5.98798i) q^{17} +(0.549541 + 2.52620i) q^{18} +(-0.682687 + 0.787863i) q^{19} +(-2.23524 - 0.0609327i) q^{20} +(-1.78018 + 0.812983i) q^{21} +(-1.07790 - 1.07790i) q^{22} +(-2.30796 - 4.20396i) q^{23} +0.643986i q^{24} +(0.980143 - 4.90299i) q^{25} +(-4.60484 + 1.35210i) q^{26} +(0.256596 + 3.58768i) q^{27} +(2.96950 - 0.645974i) q^{28} +(-0.893636 + 0.774340i) q^{29} +(-1.41923 - 0.243697i) q^{30} +(0.384033 + 0.112762i) q^{31} +(0.212565 - 0.977147i) q^{32} +(-0.588297 - 0.785873i) q^{33} +(-2.49385 + 5.46077i) q^{34} +(0.299891 + 6.78867i) q^{35} +(0.367924 - 2.55897i) q^{36} +(-1.28246 - 0.278981i) q^{37} +(0.914973 - 0.499613i) q^{38} +(-3.05919 + 0.439844i) q^{39} +(2.07301 + 0.838226i) q^{40} +(8.30875 + 5.33971i) q^{41} +(1.95205 - 0.139614i) q^{42} +(3.57839 - 6.55334i) q^{43} +(0.633249 + 1.38662i) q^{44} +(5.50026 + 1.77920i) q^{45} +(0.693312 + 4.74545i) q^{46} +(-8.35033 + 8.35033i) q^{47} +(0.225050 - 0.603382i) q^{48} +(-0.629726 - 2.14465i) q^{49} +(-2.63176 + 4.25133i) q^{50} +(-2.09013 + 3.25231i) q^{51} +(4.78701 + 0.342374i) q^{52} +(7.94381 + 5.94666i) q^{53} +(1.01335 - 3.45115i) q^{54} +(-3.29549 + 0.870837i) q^{55} +(-3.00801 - 0.432487i) q^{56} +(0.629021 - 0.234613i) q^{57} +(1.10790 - 0.413224i) q^{58} +(-7.59217 - 1.09159i) q^{59} +(1.24458 + 0.724300i) q^{60} +(0.961272 - 3.27379i) q^{61} +(-0.320413 - 0.239859i) q^{62} +(-7.83652 - 0.560479i) q^{63} +(-0.540641 + 0.841254i) q^{64} +(-2.56603 + 10.4201i) q^{65} +(0.276570 + 0.941912i) q^{66} +(-4.22193 + 11.3194i) q^{67} +(4.24495 - 4.24495i) q^{68} +(0.00702364 + 3.08844i) q^{69} +(2.09141 - 6.46544i) q^{70} +(-0.865969 - 1.89621i) q^{71} +(-1.23899 + 2.26905i) q^{72} +(0.260594 - 0.0186380i) q^{73} +(1.10410 + 0.709564i) q^{74} +(-2.06720 + 2.46873i) q^{75} +(-1.03188 + 0.148362i) q^{76} +(4.06584 - 2.22012i) q^{77} +(3.02001 + 0.656964i) q^{78} +(0.108205 - 0.752579i) q^{79} +(-1.64938 - 1.50982i) q^{80} +(-2.25966 + 4.94797i) q^{81} +(-5.91884 - 7.90665i) q^{82} +(1.22112 - 5.61340i) q^{83} +(-1.87776 - 0.551361i) q^{84} +(7.74872 + 10.9615i) q^{85} +(-5.64293 + 4.88963i) q^{86} +(0.744078 - 0.161864i) q^{87} +(-0.108748 - 1.52049i) q^{88} +(3.11654 - 0.915098i) q^{89} +(-4.53170 - 3.58917i) q^{90} -14.5846i q^{91} +(1.00877 - 4.68854i) q^{92} +(-0.182259 - 0.182259i) q^{93} +(10.7420 - 4.90570i) q^{94} +(0.0635218 - 2.33022i) q^{95} +(-0.421721 + 0.486692i) q^{96} +(-3.03964 - 13.9730i) q^{97} +(-0.159457 + 2.22950i) q^{98} +(-0.560854 - 3.90083i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) $ 240 * q - 8 * q^3 - 8 * q^6	$ 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}+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

Display 100 coefficients 10 coefficients

Character values

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

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{15}{22}\right)$

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 $

$2$	−0.936950	−	0.349464i	−0.662524	−	0.247108i
$2$	−0.936950	−	0.349464i	−0.662524	−	0.247108i
$3$	−0.565213	−	0.308630i	−0.326326	−	0.178187i	0.307732	−	0.951473i	$-0.400430\pi$
$3$	−0.565213	−	0.308630i	−0.326326	−	0.178187i	−0.634058	+	0.773286i	$0.718612\pi$
$4$	0.755750	+	0.654861i	0.377875	+	0.327430i
$5$	−1.72918	+	1.41772i	−0.773314	+	0.634023i
$5$	−1.72918	+	1.41772i	−0.773314	+	0.634023i
$6$	0.421721	+	0.486692i	0.172167	+	0.198691i
$7$	1.82117	−	2.43280i	0.688338	−	0.919513i	−0.311186	−	0.950349i	$-0.600726\pi$
$7$	1.82117	−	2.43280i	0.688338	−	0.919513i	0.999524	+	0.0308365i	$0.00981712\pi$
$8$	−0.479249	−	0.877679i	−0.169440	−	0.310306i
$9$	−1.39771	−	2.17488i	−0.465903	−	0.724959i
$10$	2.11560	−	0.724045i	0.669011	−	0.228963i
$11$	1.38662	+	0.633249i	0.418082	+	0.190932i	0.613338	−	0.789821i	$-0.289826\pi$
$11$	1.38662	+	0.633249i	0.418082	+	0.190932i	−0.195256	+	0.980752i	$0.562554\pi$
$12$	−0.225050	−	0.603382i	−0.0649663	−	0.174181i
$13$	3.84199	−	2.87608i	1.06558	−	0.797680i	0.0855073	−	0.996338i	$-0.472749\pi$
$13$	3.84199	−	2.87608i	1.06558	−	0.797680i	0.980069	+	0.198657i	$0.0636580\pi$
$14$	−2.55652	+	1.64298i	−0.683260	+	0.439104i
$15$	1.41491	−	0.267637i	0.365327	−	0.0691035i
$16$	0.142315	+	0.989821i	0.0355787	+	0.247455i
$17$	0.428269	−	5.98798i	0.103870	−	1.45230i	−0.631891	−	0.775057i	$-0.717721\pi$
$17$	0.428269	−	5.98798i	0.103870	−	1.45230i	0.735762	−	0.677241i	$-0.236824\pi$
$18$	0.549541	+	2.52620i	0.129528	+	0.595431i
$19$	−0.682687	+	0.787863i	−0.156619	+	0.180748i	−0.828636	−	0.559788i	$-0.810883\pi$
$19$	−0.682687	+	0.787863i	−0.156619	+	0.180748i	0.672017	+	0.740536i	$0.265428\pi$
$20$	−2.23524	−	0.0609327i	−0.499814	−	0.0136250i
$21$	−1.78018	+	0.812983i	−0.388468	+	0.177407i
$22$	−1.07790	−	1.07790i	−0.229808	−	0.229808i
$23$	−2.30796	−	4.20396i	−0.481244	−	0.876587i
$23$	−2.30796	−	4.20396i	−0.481244	−	0.876587i
$24$			0.643986i			0.131453i
$25$	0.980143	−	4.90299i	0.196029	−	0.980598i
$26$	−4.60484	+	1.35210i	−0.903083	+	0.265169i
$27$	0.256596	+	3.58768i	0.0493819	+	0.690449i
$28$	2.96950	−	0.645974i	0.561182	−	0.122078i
$29$	−0.893636	+	0.774340i	−0.165944	+	0.143791i	−0.733874	−	0.679285i	$-0.762290\pi$
$29$	−0.893636	+	0.774340i	−0.165944	+	0.143791i	0.567930	+	0.823077i	$0.307744\pi$
$30$	−1.41923	−	0.243697i	−0.259114	−	0.0444928i
$31$	0.384033	+	0.112762i	0.0689744	+	0.0202527i	0.316038	−	0.948747i	$-0.397647\pi$
$31$	0.384033	+	0.112762i	0.0689744	+	0.0202527i	−0.247063	+	0.968999i	$0.579466\pi$
$32$	0.212565	−	0.977147i	0.0375766	−	0.172737i
$33$	−0.588297	−	0.785873i	−0.102409	−	0.136803i
$34$	−2.49385	+	5.46077i	−0.427692	+	0.936514i
$35$	0.299891	+	6.78867i	0.0506908	+	1.14749i
$36$	0.367924	−	2.55897i	0.0613207	−	0.426495i
$37$	−1.28246	−	0.278981i	−0.210834	−	0.0458642i	0.105907	−	0.994376i	$-0.466225\pi$
$37$	−1.28246	−	0.278981i	−0.210834	−	0.0458642i	−0.316742	+	0.948512i	$0.602589\pi$
$38$	0.914973	−	0.499613i	0.148428	−	0.0810480i
$39$	−3.05919	+	0.439844i	−0.489862	+	0.0704315i
$40$	2.07301	+	0.838226i	0.327772	+	0.132535i
$41$	8.30875	+	5.33971i	1.29761	+	0.833922i	0.992949	−	0.118539i	$-0.0378211\pi$
$41$	8.30875	+	5.33971i	1.29761	+	0.833922i	0.304659	+	0.952461i	$0.401458\pi$
$42$	1.95205	−	0.139614i	0.301208	−	0.0215428i
$43$	3.57839	−	6.55334i	0.545700	−	0.999375i	−0.448699	−	0.893683i	$-0.648112\pi$
$43$	3.57839	−	6.55334i	0.545700	−	0.999375i	0.994399	−	0.105692i	$-0.0337057\pi$
$44$	0.633249	+	1.38662i	0.0954658	+	0.209041i
$45$	5.50026	+	1.77920i	0.819930	+	0.265228i
$46$	0.693312	+	4.74545i	0.102223	+	0.699679i
$47$	−8.35033	+	8.35033i	−1.21802	+	1.21802i	−0.249697	+	0.968324i	$0.580331\pi$
$47$	−8.35033	+	8.35033i	−1.21802	+	1.21802i	−0.968324	+	0.249697i	$0.919669\pi$
$48$	0.225050	−	0.603382i	0.0324832	−	0.0870907i
$49$	−0.629726	−	2.14465i	−0.0899609	−	0.306379i
$50$	−2.63176	+	4.25133i	−0.372188	+	0.601229i
$51$	−2.09013	+	3.25231i	−0.292677	+	0.455414i
$52$	4.78701	+	0.342374i	0.663839	+	0.0474787i
$53$	7.94381	+	5.94666i	1.09117	+	0.816837i	0.984135	−	0.177419i	$-0.0567748\pi$
$53$	7.94381	+	5.94666i	1.09117	+	0.816837i	0.107031	+	0.994256i	$0.465866\pi$
$54$	1.01335	−	3.45115i	0.137899	−	0.469641i
$55$	−3.29549	+	0.870837i	−0.444364	+	0.117424i
$56$	−3.00801	−	0.432487i	−0.401963	−	0.0577935i
$57$	0.629021	−	0.234613i	0.0833159	−	0.0310752i
$58$	1.10790	−	0.413224i	0.145474	−	0.0542589i
$59$	−7.59217	−	1.09159i	−0.988416	−	0.142113i	−0.370901	−	0.928672i	$-0.620951\pi$
$59$	−7.59217	−	1.09159i	−0.988416	−	0.142113i	−0.617515	+	0.786559i	$0.711860\pi$
$60$	1.24458	+	0.724300i	0.160675	+	0.0935068i
$61$	0.961272	−	3.27379i	0.123078	−	0.419166i	−0.874784	−	0.484512i	$-0.838997\pi$
$61$	0.961272	−	3.27379i	0.123078	−	0.419166i	0.997863	+	0.0653463i	$0.0208152\pi$
$62$	−0.320413	−	0.239859i	−0.0406926	−	0.0304621i
$63$	−7.83652	−	0.560479i	−0.987308	−	0.0706137i
$64$	−0.540641	+	0.841254i	−0.0675801	+	0.105157i
$65$	−2.56603	+	10.4201i	−0.318277	+	1.29246i
$66$	0.276570	+	0.941912i	0.0340434	+	0.115941i
$67$	−4.22193	+	11.3194i	−0.515791	+	1.38289i	0.374385	+	0.927273i	$0.377854\pi$
$67$	−4.22193	+	11.3194i	−0.515791	+	1.38289i	−0.890176	+	0.455616i	$0.849419\pi$
$68$	4.24495	−	4.24495i	0.514776	−	0.514776i
$69$	0.00702364	+	3.08844i	0.000845547	+	0.371804i
$70$	2.09141	−	6.46544i	0.249972	−	0.772768i
$71$	−0.865969	−	1.89621i	−0.102772	−	0.225039i	0.851260	−	0.524744i	$-0.175839\pi$
$71$	−0.865969	−	1.89621i	−0.102772	−	0.225039i	−0.954032	+	0.299705i	$0.903112\pi$
$72$	−1.23899	+	2.26905i	−0.146017	+	0.267410i
$73$	0.260594	−	0.0186380i	0.0305002	−	0.00218142i	−0.0560807	−	0.998426i	$-0.517860\pi$
$73$	0.260594	−	0.0186380i	0.0305002	−	0.00218142i	0.0865810	+	0.996245i	$0.472406\pi$
$74$	1.10410	+	0.709564i	0.128349	+	0.0824851i
$75$	−2.06720	+	2.46873i	−0.238699	+	0.285065i
$76$	−1.03188	+	0.148362i	−0.118365	+	0.0170183i
$77$	4.06584	−	2.22012i	0.463346	−	0.253006i
$78$	3.02001	+	0.656964i	0.341949	+	0.0743865i
$79$	0.108205	−	0.752579i	0.0121740	−	0.0846718i	−0.982829	−	0.184521i	$-0.940927\pi$
$79$	0.108205	−	0.752579i	0.0121740	−	0.0846718i	0.995003	+	0.0998487i	$0.0318359\pi$
$80$	−1.64938	−	1.50982i	−0.184406	−	0.168803i
$81$	−2.25966	+	4.94797i	−0.251074	+	0.549775i
$82$	−5.91884	−	7.90665i	−0.653627	−	0.873143i
$83$	1.22112	−	5.61340i	0.134035	−	0.616151i	−0.860293	−	0.509800i	$-0.829720\pi$
$83$	1.22112	−	5.61340i	0.134035	−	0.616151i	0.994329	−	0.106351i	$-0.0339168\pi$
$84$	−1.87776	−	0.551361i	−0.204881	−	0.0601585i
$85$	7.74872	+	10.9615i	0.840466	+	1.18894i
$86$	−5.64293	+	4.88963i	−0.608493	+	0.527262i
$87$	0.744078	−	0.161864i	0.0797736	−	0.0173537i
$88$	−0.108748	−	1.52049i	−0.0115925	−	0.162085i
$89$	3.11654	−	0.915098i	0.330352	−	0.0970002i	−0.112350	−	0.993669i	$-0.535838\pi$
$89$	3.11654	−	0.915098i	0.330352	−	0.0970002i	0.442703	+	0.896668i	$0.354020\pi$
$90$	−4.53170	−	3.58917i	−0.477683	−	0.378331i
$91$		−	14.5846i		−	1.52888i
$92$	1.00877	−	4.68854i	0.105171	−	0.488814i
$93$	−0.182259	−	0.182259i	−0.0188994	−	0.0188994i
$94$	10.7420	−	4.90570i	1.10795	−	0.505984i
$95$	0.0635218	−	2.33022i	0.00651720	−	0.239075i
$96$	−0.421721	+	0.486692i	−0.0430417	+	0.0496728i
$97$	−3.03964	−	13.9730i	−0.308628	−	1.41874i	−0.826333	−	0.563182i	$-0.809577\pi$
$97$	−3.03964	−	13.9730i	−0.308628	−	1.41874i	0.517705	−	0.855559i	$-0.326787\pi$
$98$	−0.159457	+	2.22950i	−0.0161076	+	0.225213i
$99$	−0.560854	−	3.90083i	−0.0563680	−	0.392048i
$100$	3.95152	−	3.06358i	0.395152	−	0.306358i
$101$	16.3898	−	10.5331i	1.63085	−	1.04808i	0.682478	−	0.730906i	$-0.260902\pi$
$101$	16.3898	−	10.5331i	1.63085	−	1.04808i	0.948367	−	0.317175i	$-0.102734\pi$
$102$	3.09491	−	2.31682i	0.306442	−	0.229399i
$103$	4.55361	+	12.2087i	0.448681	+	1.20296i	0.942739	+	0.333531i	$0.108240\pi$
$103$	4.55361	+	12.2087i	0.448681	+	1.20296i	−0.494058	+	0.869429i	$0.664487\pi$
$104$	−4.36554	−	1.99368i	−0.428077	−	0.195496i
$105$	1.92568	−	3.92960i	0.187927	−	0.383490i
$106$	−5.36480	−	8.34780i	−0.521076	−	0.810810i
$107$	−3.68806	−	6.75418i	−0.356538	−	0.652951i	0.636430	−	0.771335i	$-0.280411\pi$
$107$	−3.68806	−	6.75418i	−0.356538	−	0.652951i	−0.992968	+	0.118383i	$0.962229\pi$
$108$	−2.15551	+	2.87942i	−0.207414	+	0.277072i
$109$	3.61973	+	4.17739i	0.346707	+	0.400122i	0.902142	−	0.431438i	$-0.141994\pi$
$109$	3.61973	+	4.17739i	0.346707	+	0.400122i	−0.555435	+	0.831560i	$0.687448\pi$
$110$	3.39203	+	0.335725i	0.323418	+	0.0320101i
$111$	0.638759	+	0.553487i	0.0606283	+	0.0525347i
$112$	2.66722	+	1.45641i	0.252029	+	0.137618i
$113$	−16.5955	−	6.18982i	−1.56118	−	0.582289i	−0.587301	−	0.809369i	$-0.699809\pi$
$113$	−16.5955	−	6.18982i	−1.56118	−	0.582289i	−0.973876	+	0.227080i	$0.927082\pi$
$114$	−0.671350			−0.0628777
$115$	9.95093	+	3.99737i	0.927929	+	0.372757i
$116$	−1.18245			−0.109788
$117$	−11.6251	−	4.33594i	−1.07474	−	0.400858i
$118$	6.73201	+	3.67595i	0.619732	+	0.338399i
$119$	−13.7876	−	11.9470i	−1.26391	−	1.09518i
$120$	−0.912991	−	1.11357i	−0.0833443	−	0.101654i
$121$	−5.68175	−	6.55709i	−0.516523	−	0.596099i
$122$	−2.04474	+	2.73145i	−0.185122	+	0.247294i
$123$	−3.04822	−	5.58240i	−0.274849	−	0.503348i
$124$	0.216389	+	0.336708i	0.0194323	+	0.0302373i
$125$	5.25622	+	9.86773i	0.470131	+	0.882597i
$126$	7.14655	+	3.26372i	0.636666	+	0.290755i
$127$	3.68774	+	9.88722i	0.327234	+	0.877349i	0.991530	+	0.129879i	$0.0414588\pi$
$127$	3.68774	+	9.88722i	0.327234	+	0.877349i	−0.664296	+	0.747470i	$0.731268\pi$
$128$	0.800541	−	0.599278i	0.0707585	−	0.0529692i
$129$	−4.04511	+	2.59963i	−0.356152	+	0.228885i
$130$	6.04570	−	8.86640i	0.530243	−	0.777635i
$131$	3.02120	+	21.0129i	0.263963	+	1.83591i	0.502264	+	0.864714i	$0.332501\pi$
$131$	3.02120	+	21.0129i	0.263963	+	1.83591i	−0.238300	+	0.971191i	$0.576590\pi$
$132$	0.0700320	−	0.979175i	0.00609550	−	0.0852263i
$133$	0.673423	+	3.09568i	0.0583932	+	0.268429i
$134$	7.91148	−	9.13033i	0.683448	−	0.788741i
$135$	−5.53002	−	5.83997i	−0.475949	−	0.502625i
$136$	−5.46077	+	2.49385i	−0.468257	+	0.213846i
$137$	−2.26877	−	2.26877i	−0.193834	−	0.193834i	0.603516	−	0.797351i	$-0.293766\pi$
$137$	−2.26877	−	2.26877i	−0.193834	−	0.193834i	−0.797351	+	0.603516i	$0.793766\pi$
$138$	1.07272	−	2.89617i	0.0913158	−	0.246538i
$139$			5.52306i			0.468460i	0.972181	+	0.234230i	$0.0752568\pi$
$139$			5.52306i			0.468460i	−0.972181	+	0.234230i	$0.924743\pi$
$140$	−4.21899	+	5.32692i	−0.356570	+	0.450207i
$141$	7.29687	−	2.14256i	0.614508	−	0.180436i
$142$	0.148713	+	2.07928i	0.0124797	+	0.174489i
$143$	7.14866	−	1.55510i	0.597801	−	0.130044i
$144$	1.95383	−	1.69300i	0.162819	−	0.141083i
$145$	0.447462	−	2.60590i	0.0371597	−	0.216408i
$146$	−0.250677	−	0.0736053i	−0.0207462	−	0.00609162i
$147$	−0.305973	+	1.40654i	−0.0252363	+	0.116009i
$148$	−0.786521	−	1.05067i	−0.0646517	−	0.0863645i
$149$	2.69261	−	5.89599i	0.220587	−	0.483018i	−0.766692	−	0.642015i	$-0.778099\pi$
$149$	2.69261	−	5.89599i	0.220587	−	0.483018i	0.987279	+	0.158997i	$0.0508259\pi$
$150$	2.79959	−	1.59067i	0.228586	−	0.129877i
$151$	0.437790	−	3.04490i	0.0356269	−	0.247790i	−0.964223	−	0.265091i	$-0.914598\pi$
$151$	0.437790	−	3.04490i	0.0356269	−	0.247790i	0.999850	+	0.0173004i	$0.00550718\pi$
$152$	1.01867	+	0.221598i	0.0826249	+	0.0179739i
$153$	−13.6217	+	7.43802i	−1.10125	+	0.601328i
$154$	−4.58534	+	0.659273i	−0.369498	+	0.0531257i
$155$	−0.823929	+	0.349465i	−0.0661796	+	0.0280697i
$156$	−2.60001	−	1.67093i	−0.208168	−	0.133781i
$157$	−6.52474	+	0.466659i	−0.520731	+	0.0372434i	−0.329231	−	0.944249i	$-0.606790\pi$
$157$	−6.52474	+	0.466659i	−0.520731	+	0.0372434i	−0.191500	+	0.981493i	$0.561335\pi$
$158$	−0.364382	+	0.667315i	−0.0289887	+	0.0530888i
$159$	−2.65463	−	5.81282i	−0.210526	−	0.460987i
$160$	1.01776	+	1.99102i	0.0804607	+	0.157404i
$161$	−14.4306	−	2.04132i	−1.13729	−	0.160879i
$162$	3.84633	−	3.84633i	0.302196	−	0.302196i
$163$	−2.44669	+	6.55983i	−0.191640	+	0.513806i	−0.996861	−	0.0791682i	$-0.974774\pi$
$163$	−2.44669	+	6.55983i	−0.191640	+	0.513806i	0.805222	+	0.592974i	$0.202046\pi$
$164$	2.78257	+	9.47655i	0.217282	+	0.739995i
$165$	2.13142	+	0.524877i	0.165931	+	0.0408616i
$166$	−3.10581	+	4.83274i	−0.241058	+	0.375093i
$167$	23.9870	+	1.71559i	1.85617	+	0.132756i	0.954225	−	0.299089i	$-0.0966827\pi$
$167$	23.9870	+	1.71559i	1.85617	+	0.132756i	0.901948	+	0.431845i	$0.142137\pi$
$168$	1.56669	+	1.17281i	0.120873	+	0.0904842i
$169$	2.82654	−	9.62632i	0.217426	−	0.740486i
$170$	−3.42952	−	12.9782i	−0.263032	−	0.995386i
$171$	2.66770	+	0.383558i	0.204004	+	0.0293314i
$172$	6.99589	−	2.60933i	0.533432	−	0.198960i
$173$	9.33157	−	3.48050i	0.709466	−	0.264617i	0.0312835	−	0.999511i	$-0.490041\pi$
$173$	9.33157	−	3.48050i	0.709466	−	0.264617i	0.678183	+	0.734893i	$0.262768\pi$
$174$	−0.753730	−	0.108370i	−0.0571401	−	0.00821551i
$175$	−10.1430	−	11.3137i	−0.766738	−	0.855234i
$176$	−0.429466	+	1.46263i	−0.0323722	+	0.110250i
$177$	3.95429	+	2.96015i	0.297223	+	0.222498i
$178$	−3.23983	−	0.231718i	−0.242836	−	0.0173680i
$179$	3.59318	−	5.59109i	0.268567	−	0.417898i	−0.680608	−	0.732648i	$-0.738284\pi$
$179$	3.59318	−	5.59109i	0.268567	−	0.417898i	0.949175	+	0.314750i	$0.101921\pi$
$180$	2.99169	+	4.94653i	0.222987	+	0.368693i
$181$	2.69144	+	9.16619i	0.200053	+	0.681317i	0.997009	+	0.0772807i	$0.0246238\pi$
$181$	2.69144	+	9.16619i	0.200053	+	0.681317i	−0.796957	+	0.604037i	$0.793558\pi$
$182$	−5.09681	+	13.6651i	−0.377800	+	1.01292i
$183$	−1.55371	+	1.55371i	−0.114854	+	0.114854i
$184$	−2.58364	+	4.04040i	−0.190468	+	0.297862i
$185$	2.61312	−	1.33575i	0.192120	−	0.0982065i
$186$	0.107074	+	0.234460i	0.00785108	+	0.0171915i
$187$	4.38572	−	8.03186i	0.320716	−	0.587347i
$188$	−11.7791	+	0.842455i	−0.859076	+	0.0614424i
$189$	9.19542	+	5.90953i	0.668868	+	0.429855i
$190$	−0.873844	+	2.16110i	−0.0633953	+	0.156782i
$191$	−16.7161	+	2.40341i	−1.20953	+	0.173905i	−0.717429	−	0.696631i	$-0.754681\pi$
$191$	−16.7161	+	2.40341i	−1.20953	+	0.173905i	−0.492105	+	0.870536i	$0.663772\pi$
$192$	0.565213	−	0.308630i	0.0407907	−	0.0222734i
$193$	6.69641	+	1.45671i	0.482018	+	0.104857i	0.447007	−	0.894530i	$-0.352490\pi$
$193$	6.69641	+	1.45671i	0.482018	+	0.104857i	0.0350108	+	0.999387i	$0.488853\pi$
$194$	−2.03507	+	14.1542i	−0.146110	+	1.01621i
$195$	4.66631	−	5.09764i	0.334162	−	0.365049i
$196$	0.928532	−	2.03320i	0.0663237	−	0.145229i
$197$	11.4538	+	15.3004i	0.816047	+	1.09011i	0.994352	+	0.106136i	$0.0338478\pi$
$197$	11.4538	+	15.3004i	0.816047	+	1.09011i	−0.178305	+	0.983975i	$0.557061\pi$
$198$	−0.837707	+	3.85088i	−0.0595333	+	0.273670i
$199$	26.1607	+	7.68147i	1.85448	+	0.544525i	0.999673	+	0.0255842i	$0.00814458\pi$
$199$	26.1607	+	7.68147i	1.85448	+	0.544525i	0.854810	+	0.518941i	$0.173674\pi$
$200$	−4.77298	+	1.48950i	−0.337501	+	0.105324i
$201$	5.87981	−	5.09488i	0.414729	−	0.359365i
$202$	−19.0373	+	4.14132i	−1.33946	+	0.291382i
$203$	0.256350	+	3.58424i	0.0179923	+	0.251565i
$204$	−3.70942	+	1.08918i	−0.259711	+	0.0762582i
$205$	−21.9375	+	2.54615i	−1.53218	+	0.177830i
$206$		−	13.0303i		−	0.907862i
$207$	−5.91724	+	10.8955i	−0.411277	+	0.757287i
$208$	3.39358	+	3.39358i	0.235302	+	0.235302i
$209$	−1.44554	+	0.660156i	−0.0999902	+	0.0456640i
$210$	−3.17752	+	3.00888i	−0.219270	+	0.207632i
$211$	−7.12686	+	8.22484i	−0.490633	+	0.566221i	−0.946035	−	0.324065i	$-0.894950\pi$
$211$	−7.12686	+	8.22484i	−0.490633	+	0.566221i	0.455401	+	0.890286i	$0.349496\pi$
$212$	2.10930	+	9.69627i	0.144867	+	0.665943i
$213$	−0.0957690	+	1.33903i	−0.00656198	+	0.0917485i
$214$	1.09518	+	7.61717i	0.0748653	+	0.520699i
$215$	3.10310	+	16.4051i	0.211630	+	1.11882i
$216$	3.02586	−	1.94460i	0.205883	−	0.132313i
$217$	0.973719	−	0.728917i	0.0661004	−	0.0494821i
$218$	−1.93166	−	5.17897i	−0.130828	−	0.350764i
$219$	−0.153043	−	0.0698925i	−0.0103417	−	0.00472290i
$220$	−3.06084	−	1.49995i	−0.206362	−	0.101127i
$221$	−15.5765	−	24.2375i	−1.04779	−	1.63039i
$222$	−0.405061	−	0.741813i	−0.0271859	−	0.0497872i
$223$	−14.9828	+	20.0147i	−1.00333	+	1.34029i	−0.0637424	+	0.997966i	$0.520304\pi$
$223$	−14.9828	+	20.0147i	−1.00333	+	1.34029i	−0.939583	+	0.342320i	$0.888787\pi$
$224$	−1.99009	−	2.29668i	−0.132968	−	0.153454i
$225$	−12.0334	+	4.72126i	−0.802224	+	0.314751i
$226$	13.3861	+	11.5991i	0.890428	+	0.771560i
$227$	−5.96840	−	3.25899i	−0.396136	−	0.216307i	0.268818	−	0.963191i	$-0.413367\pi$
$227$	−5.96840	−	3.25899i	−0.396136	−	0.216307i	−0.664954	+	0.746884i	$0.731549\pi$
$228$	0.629021	+	0.234613i	0.0416579	+	0.0155376i
$229$	17.9061			1.18327			0.591634	−	0.806207i	$-0.298483\pi$
$229$	17.9061			1.18327			0.591634	+	0.806207i	$0.298483\pi$
$230$	−7.92658	−	7.22283i	−0.522663	−	0.476259i
$231$	−2.98326			−0.196284
$232$	1.10790	+	0.413224i	0.0727369	+	0.0271295i
$233$	−7.93825	−	4.33462i	−0.520052	−	0.283970i	0.197707	−	0.980261i	$-0.436650\pi$
$233$	−7.93825	−	4.33462i	−0.520052	−	0.283970i	−0.717760	+	0.696291i	$0.754832\pi$
$234$	9.37688	+	8.12511i	0.612986	+	0.531155i
$235$	2.60082	−	26.2777i	0.169659	−	1.71417i
$236$	−5.02294	−	5.79678i	−0.326965	−	0.377338i
$237$	−0.293427	+	0.391972i	−0.0190601	+	0.0254613i
$238$	8.74324	+	16.0120i	0.566740	+	1.03791i
$239$	5.17370	+	8.05044i	0.334659	+	0.520740i	0.967276	−	0.253725i	$-0.0816558\pi$
$239$	5.17370	+	8.05044i	0.334659	+	0.520740i	−0.632617	+	0.774464i	$0.718019\pi$
$240$	0.466275	+	1.36242i	0.0300979	+	0.0879436i
$241$	20.7835	+	9.49149i	1.33878	+	0.611401i	0.950668	−	0.310211i	$-0.100400\pi$
$241$	20.7835	+	9.49149i	1.33878	+	0.611401i	0.388113	+	0.921612i	$0.373127\pi$
$242$	3.03205	+	8.12924i	0.194907	+	0.522567i
$243$	11.4425	−	8.56578i	0.734040	−	0.549495i
$244$	2.87036	−	1.84467i	0.183756	−	0.118093i
$245$	4.12943	+	2.81572i	0.263819	+	0.179890i
$246$	0.905181	+	6.29567i	0.0577122	+	0.401397i
$247$	−0.356922	+	4.99042i	−0.0227104	+	0.317533i
$248$	−0.0850784	−	0.391099i	−0.00540248	−	0.0248348i
$249$	−2.42265	+	2.79589i	−0.153530	+	0.177182i
$250$	−1.47640	−	11.0824i	−0.0933754	−	0.700914i
$251$	10.0860	−	4.60613i	0.636624	−	0.290736i	−0.0708381	−	0.997488i	$-0.522567\pi$
$251$	10.0860	−	4.60613i	0.636624	−	0.290736i	0.707462	+	0.706751i	$0.249840\pi$
$252$	−5.55541	−	5.55541i	−0.349958	−	0.349958i
$253$	−0.538118	−	7.29082i	−0.0338312	−	0.458370i
$254$		−	10.5526i		−	0.662126i
$255$	−0.996641	−	8.58705i	−0.0624121	−	0.537742i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	0.363054	+	5.07615i	0.0226467	+	0.316642i	0.996131	+	0.0878861i	$0.0280112\pi$
$257$	0.363054	+	5.07615i	0.0226467	+	0.316642i	−0.973484	+	0.228756i	$0.926534\pi$
$258$	4.69854	−	1.02211i	0.292518	−	0.0636335i
$259$	−3.01428	+	2.61189i	−0.187298	+	0.162295i
$260$	−8.76301	+	6.19461i	−0.543459	+	0.384174i
$261$	2.93314	+	0.861247i	0.181557	+	0.0533098i
$262$	4.51255	−	20.7438i	0.278786	−	1.28156i
$263$	−8.24542	−	11.0146i	−0.508435	−	0.679189i	0.470725	−	0.882280i	$-0.343992\pi$
$263$	−8.24542	−	11.0146i	−0.508435	−	0.679189i	−0.979160	+	0.203091i	$0.934901\pi$
$264$	−0.407803	+	0.892964i	−0.0250986	+	0.0549582i
$265$	−22.1670	+	0.979232i	−1.36171	+	0.0601537i
$266$	0.450864	−	3.13583i	0.0276443	−	0.192270i
$267$	−2.04393	−	0.444631i	−0.125087	−	0.0272110i
$268$	−10.6034	+	5.78988i	−0.647705	+	0.353673i
$269$	17.5624	−	2.52510i	1.07080	−	0.153958i	0.415702	−	0.909501i	$-0.363536\pi$
$269$	17.5624	−	2.52510i	1.07080	−	0.153958i	0.655099	+	0.755543i	$0.272627\pi$
$270$	3.14049	+	7.40430i	0.191124	+	0.450612i
$271$	2.36123	+	1.51747i	0.143435	+	0.0921798i	0.610390	−	0.792101i	$-0.291013\pi$
$271$	2.36123	+	1.51747i	0.143435	+	0.0921798i	−0.466955	+	0.884281i	$0.654649\pi$
$272$	5.98798	−	0.428269i	0.363074	−	0.0259676i
$273$	−4.50125	+	8.24342i	−0.272428	+	0.498915i
$274$	1.33287	+	2.91858i	0.0805217	+	0.176318i
$275$	4.46390	−	6.17792i	0.269183	−	0.372542i
$276$	−2.01719	+	2.33869i	−0.121421	+	0.140772i
$277$	−12.4874	+	12.4874i	−0.750293	+	0.750293i	−0.974534	−	0.224241i	$-0.928010\pi$
$277$	−12.4874	+	12.4874i	−0.750293	+	0.750293i	0.224241	+	0.974534i	$0.428010\pi$
$278$	1.93011	−	5.17483i	0.115760	−	0.310366i
$279$	−0.291522	−	0.992834i	−0.0174530	−	0.0594394i
$280$	5.81455	−	3.51667i	0.347486	−	0.210161i
$281$	8.74104	−	13.6013i	0.521447	−	0.811387i	−0.476244	−	0.879313i	$-0.658002\pi$
$281$	8.74104	−	13.6013i	0.521447	−	0.811387i	0.997690	+	0.0679263i	$0.0216383\pi$
$282$	−7.58555	−	0.542529i	−0.451713	−	0.0323071i
$283$	−13.4685	−	10.0824i	−0.800619	−	0.599336i	0.118664	−	0.992935i	$-0.462139\pi$
$283$	−13.4685	−	10.0824i	−0.800619	−	0.599336i	−0.919282	+	0.393599i	$0.871230\pi$
$284$	0.587296	−	2.00015i	0.0348496	−	0.118687i
$285$	−0.755077	+	1.29746i	−0.0447269	+	0.0768551i
$286$	−7.24138	−	1.04115i	−0.428192	−	0.0615647i
$287$	28.1221	−	10.4890i	1.66000	−	0.619146i
$288$	−2.42228	+	0.903464i	−0.142734	+	0.0532371i
$289$	−18.8455	−	2.70957i	−1.10856	−	0.159387i
$290$	−1.32992	+	2.28522i	−0.0780955	+	0.134193i
$291$	−2.59443	+	8.83583i	−0.152088	+	0.517966i
$292$	0.209149	+	0.156567i	0.0122395	+	0.00916239i
$293$	−9.52076	−	0.680938i	−0.556209	−	0.0397808i	−0.209594	−	0.977788i	$-0.567214\pi$
$293$	−9.52076	−	0.680938i	−0.556209	−	0.0397808i	−0.346615	+	0.938008i	$0.612669\pi$
$294$	0.778216	−	1.21093i	0.0453865	−	0.0706227i
$295$	14.6758	−	8.87601i	0.854459	−	0.516781i
$296$	0.369760	+	1.25929i	0.0214918	+	0.0731945i
$297$	−1.91609	+	5.13724i	−0.111183	+	0.298093i
$298$	−4.58328	+	4.58328i	−0.265502	+	0.265502i
$299$	−20.9581	−	9.51370i	−1.21204	−	0.550191i
$300$	−3.17896	+	0.512017i	−0.183537	+	0.0295613i
$301$	−9.42610	−	20.6403i	−0.543311	−	1.18969i
$302$	−1.47427	+	2.69992i	−0.0848347	+	0.155363i
$303$	−12.5145	+	0.895058i	−0.718942	+	0.0514197i
$304$	−0.877000	−	0.563614i	−0.0502994	−	0.0323255i
$305$	2.97910	+	7.02380i	0.170583	+	0.402182i
$306$	15.3622	−	2.20875i	0.878197	−	0.126266i
$307$	3.37802	−	1.84454i	0.192794	−	0.105273i	−0.379953	−	0.925006i	$-0.624060\pi$
$307$	3.37802	−	1.84454i	0.192794	−	0.105273i	0.572746	+	0.819733i	$0.305878\pi$
$308$	4.52663	+	0.984708i	0.257929	+	0.0561089i
$309$	1.19421	−	8.30590i	0.0679361	−	0.472506i
$310$	0.894105	−	0.0394973i	0.0507818	−	0.00224330i
$311$	5.64569	−	12.3623i	0.320137	−	0.701003i	−0.679323	−	0.733839i	$-0.737727\pi$
$311$	5.64569	−	12.3623i	0.320137	−	0.701003i	0.999461	+	0.0328358i	$0.0104539\pi$
$312$	1.85215	+	2.47419i	0.104858	+	0.140073i
$313$	0.401158	−	1.84410i	0.0226748	−	0.104234i	−0.964419	−	0.264380i	$-0.914833\pi$
$313$	0.401158	−	1.84410i	0.0226748	−	0.104234i	0.987093	+	0.160146i	$0.0511963\pi$
$314$	6.27643	+	1.84293i	0.354200	+	0.104002i
$315$	14.3454	−	10.1408i	0.808270	−	0.571370i
$316$	0.574610	−	0.497903i	0.0323244	−	0.0280092i
$317$	31.3998	−	6.83061i	1.76359	−	0.383645i	0.790208	−	0.612839i	$-0.209973\pi$
$317$	31.3998	−	6.83061i	1.76359	−	0.383645i	0.973381	+	0.229194i	$0.0736089\pi$
$318$	0.455879	+	6.37402i	0.0255644	+	0.357437i
$319$	−1.72948	+	0.507822i	−0.0968325	+	0.0284326i
$320$	−0.257795	−	2.22116i	−0.0144112	−	0.124166i
$321$			4.95580i			0.276606i
$322$	12.8074	+	6.95560i	0.713728	+	0.387620i
$323$	4.42533	+	4.42533i	0.246232	+	0.246232i
$324$	−4.94797	+	2.25966i	−0.274887	+	0.125537i
$325$	−10.3357	−	21.6562i	−0.573321	−	1.20127i
$326$	4.58485	−	5.29120i	0.253932	−	0.293053i
$327$	−0.756652	−	3.47827i	−0.0418429	−	0.192349i
$328$	0.704591	−	9.85146i	0.0389045	−	0.543956i
$329$	5.10731	+	35.5221i	0.281575	+	1.95840i
$330$	−1.81361	−	1.23664i	−0.0998358	−	0.0680747i
$331$	−8.46987	+	5.44325i	−0.465546	+	0.299188i	−0.752306	−	0.658814i	$-0.771058\pi$
$331$	−8.46987	+	5.44325i	−0.465546	+	0.299188i	0.286760	+	0.958003i	$0.407422\pi$
$332$	4.59886	−	3.44266i	0.252395	−	0.188941i
$333$	1.18575	+	3.17912i	0.0649787	+	0.174215i
$334$	−21.8751	−	9.99003i	−1.19695	−	0.546630i
$335$	−8.74730	−	25.5589i	−0.477916	−	1.39643i
$336$	−1.05805	−	1.64637i	−0.0577216	−	0.0898166i
$337$	−9.99784	−	18.3097i	−0.544617	−	0.997392i	−0.994543	−	0.104326i	$-0.966732\pi$
$337$	−9.99784	−	18.3097i	−0.544617	−	0.997392i	0.449926	−	0.893066i	$-0.351450\pi$
$338$	−6.01238	+	8.03160i	−0.327030	+	0.436861i
$339$	7.46965	+	8.62044i	0.405696	+	0.468198i
$340$	−1.32215	+	13.3585i	−0.0717034	+	0.724464i
$341$	0.461102	+	0.399547i	0.0249701	+	0.0216367i
$342$	−2.36546	−	1.29164i	−0.127910	−	0.0698439i
$343$	13.5670	+	5.06024i	0.732551	+	0.273227i
$344$	−7.46667			−0.402576
$345$	−4.39069	−	5.33052i	−0.236387	−	0.286985i
$346$	−9.95952			−0.535427
$347$	10.0188	+	3.73684i	0.537840	+	0.200604i	0.603681	−	0.797226i	$-0.293700\pi$
$347$	10.0188	+	3.73684i	0.537840	+	0.200604i	−0.0658407	+	0.997830i	$0.520973\pi$
$348$	0.668336	+	0.364939i	0.0358265	+	0.0195628i
$349$	4.70583	+	4.07762i	0.251897	+	0.218270i	0.771651	−	0.636046i	$-0.219431\pi$
$349$	4.70583	+	4.07762i	0.251897	+	0.218270i	−0.519754	+	0.854316i	$0.673976\pi$
$350$	5.54975	+	14.1450i	0.296647	+	0.756080i
$351$	11.3043	+	13.0458i	0.603378	+	0.696335i
$352$	0.913524	−	1.22033i	0.0486910	−	0.0650436i
$353$	11.0724	+	20.2775i	0.589322	+	1.07926i	0.986845	+	0.161670i	$0.0516880\pi$
$353$	11.0724	+	20.2775i	0.589322	+	1.07926i	−0.397523	+	0.917592i	$0.630130\pi$
$354$	−2.67051	−	4.15539i	−0.141936	−	0.220857i
$355$	4.18571	+	2.05119i	0.222154	+	0.108866i
$356$	2.95459	+	1.34931i	0.156593	+	0.0715135i
$357$	4.10573	+	11.0079i	0.217298	+	0.582599i
$358$	−5.32051	+	3.98289i	−0.281198	+	0.210502i
$359$	−12.8585	+	8.26364i	−0.678644	+	0.436138i	−0.834032	−	0.551715i	$-0.813973\pi$
$359$	−12.8585	+	8.26364i	−0.678644	+	0.436138i	0.155388	+	0.987853i	$0.450337\pi$
$360$	−1.07443	−	5.68014i	−0.0566273	−	0.299370i
$361$	2.54932	+	17.7309i	0.134175	+	0.933204i
$362$	0.681514	−	9.52882i	0.0358196	−	0.500823i
$363$	1.18769	+	5.45971i	0.0623374	+	0.286561i
$364$	9.55090	−	11.0223i	0.500603	−	0.577727i
$365$	−0.424191	+	0.401678i	−0.0222032	+	0.0210248i
$366$	1.99872	−	0.912784i	0.104475	−	0.0477120i
$367$	−5.72849	−	5.72849i	−0.299025	−	0.299025i	0.541607	−	0.840632i	$-0.317816\pi$
$367$	−5.72849	−	5.72849i	−0.299025	−	0.299025i	−0.840632	+	0.541607i	$0.817816\pi$
$368$	3.83271	−	2.88276i	0.199794	−	0.150274i
$369$		−	25.5339i		−	1.32924i
$370$	−2.91516	+	0.338343i	−0.151552	+	0.0175896i
$371$	28.9341	−	8.49581i	1.50218	−	0.441081i
$372$	−0.0183879	−	0.257096i	−0.000953367	−	0.0133298i
$373$	−23.0945	+	5.02389i	−1.19579	+	0.260127i	−0.766022	−	0.642814i	$-0.777767\pi$
$373$	−23.0945	+	5.02389i	−1.19579	+	0.260127i	−0.429764	+	0.902941i	$0.641403\pi$
$374$	−6.91605	+	5.99279i	−0.357620	+	0.309880i
$375$	0.0745908	−	7.19959i	0.00385185	−	0.371785i
$376$	11.3308	+	3.32702i	0.584341	+	0.171578i
$377$	−1.20628	+	5.54517i	−0.0621265	+	0.285591i
$378$	−6.55047	−	8.75041i	−0.336920	−	0.450072i
$379$	−8.35689	+	18.2990i	−0.429264	+	0.939958i	0.564181	+	0.825651i	$0.309192\pi$
$379$	−8.35689	+	18.2990i	−0.429264	+	0.939958i	−0.993445	+	0.114307i	$0.963535\pi$
$380$	1.57397	−	1.71946i	0.0807432	−	0.0882066i
$381$	0.967129	−	6.72653i	0.0495475	−	0.344610i
$382$	16.5020	+	3.58980i	0.844318	+	0.183670i
$383$	26.2316	−	14.3236i	1.34037	−	0.731899i	0.360735	−	0.932668i	$-0.382526\pi$
$383$	26.2316	−	14.3236i	1.34037	−	0.731899i	0.979639	+	0.200769i	$0.0643440\pi$
$384$	−0.637431	+	0.0916487i	−0.0325288	+	0.00467693i
$385$	−3.88308	+	9.60322i	−0.197900	+	0.489425i
$386$	−5.76513	−	3.70502i	−0.293437	−	0.188581i
$387$	−19.2543	+	1.37709i	−0.978749	+	0.0700015i
$388$	6.85315	−	12.5506i	0.347916	−	0.637161i
$389$	3.71981	+	8.14525i	0.188602	+	0.412981i	0.980186	−	0.198080i	$-0.0634705\pi$
$389$	3.71981	+	8.14525i	0.188602	+	0.412981i	−0.791584	+	0.611060i	$0.790743\pi$
$390$	−6.15354	+	3.14552i	−0.311597	+	0.159280i
$391$	−26.1617	+	12.0196i	−1.32305	+	0.607858i
$392$	−1.58052	+	1.58052i	−0.0798283	+	0.0798283i
$393$	4.77758	−	12.8092i	0.240997	−	0.646138i
$394$	−5.38465	−	18.3384i	−0.271275	−	0.923876i
$395$	0.879841	+	1.45475i	0.0442696	+	0.0731965i
$396$	2.13063	−	3.31533i	0.107068	−	0.166602i
$397$	4.44299	+	0.317769i	0.222987	+	0.0159484i	0.182386	−	0.983227i	$-0.441618\pi$
$397$	4.44299	+	0.317769i	0.222987	+	0.0159484i	0.0406016	+	0.999175i	$0.487073\pi$
$398$	−21.8269	−	16.3394i	−1.09408	−	0.819019i
$399$	0.574790	−	1.95755i	0.0287755	−	0.0980003i
$400$	4.99257	+	0.272398i	0.249629	+	0.0136199i
$401$	−11.4987	−	1.65326i	−0.574216	−	0.0825599i	−0.150912	−	0.988547i	$-0.548221\pi$
$401$	−11.4987	−	1.65326i	−0.574216	−	0.0825599i	−0.423305	+	0.905987i	$0.639130\pi$
$402$	−7.28956	+	2.71887i	−0.363570	+	0.135605i
$403$	1.79977	−	0.671278i	0.0896527	−	0.0334387i
$404$	19.2843	+	2.77266i	0.959429	+	0.137945i
$405$	−3.10747	−	11.7595i	−0.154411	−	0.584335i
$406$	1.01238	−	3.44784i	0.0502435	−	0.171114i
$407$	−1.60162	−	1.19895i	−0.0793891	−	0.0594300i
$408$	3.85617	+	0.275799i	0.190909	+	0.0136541i
$409$	13.8718	−	21.5849i	0.685914	−	1.06730i	−0.307369	−	0.951591i	$-0.599448\pi$
$409$	13.8718	−	21.5849i	0.685914	−	1.06730i	0.993283	−	0.115713i	$-0.0369152\pi$
$410$	21.4442	+	5.28078i	1.05905	+	0.260799i
$411$	0.582129	+	1.98255i	0.0287143	+	0.0977919i
$412$	−4.55361	+	12.2087i	−0.224340	+	0.601480i
$413$	−16.4823	+	16.4823i	−0.811039	+	0.811039i
$414$	9.35173	−	8.14063i	0.459612	−	0.400090i
$415$	5.84669	+	11.4378i	0.287003	+	0.561460i
$416$	−1.99368	−	4.36554i	−0.0977480	−	0.214038i
$417$	1.70458	−	3.12170i	0.0834736	−	0.152871i
$418$	1.58510	−	0.113369i	0.0775298	−	0.00554504i
$419$	−27.1520	−	17.4495i	−1.32646	−	0.852464i	−0.330636	−	0.943758i	$-0.607263\pi$
$419$	−27.1520	−	17.4495i	−1.32646	−	0.852464i	−0.995824	+	0.0912943i	$0.970900\pi$
$420$	4.02867	−	1.70874i	0.196579	−	0.0833779i
$421$	−11.8754	+	1.70742i	−0.578770	+	0.0832146i	−0.425482	−	0.904967i	$-0.639895\pi$
$421$	−11.8754	+	1.70742i	−0.578770	+	0.0832146i	−0.153288	+	0.988182i	$0.548986\pi$
$422$	9.55180	−	5.21568i	0.464974	−	0.253895i
$423$	29.8323	+	6.48962i	1.45050	+	0.315536i
$424$	1.41220	−	9.82204i	0.0685823	−	0.477001i
$425$	−28.9392	−	7.96887i	−1.40376	−	0.386547i
$426$	0.557672	−	1.22113i	0.0270193	−	0.0591640i
$427$	−6.21385	−	8.30073i	−0.300709	−	0.401700i
$428$	1.63580	−	7.51964i	0.0790692	−	0.363475i
$429$	−4.52046	−	1.32733i	−0.218250	−	0.0640840i
$430$	2.82554	−	16.4552i	0.136259	−	0.793538i
$431$	12.5264	−	10.8542i	0.603375	−	0.522827i	−0.298734	−	0.954337i	$-0.596564\pi$
$431$	12.5264	−	10.8542i	0.603375	−	0.522827i	0.902109	+	0.431509i	$0.142019\pi$
$432$	−3.51464	+	0.764564i	−0.169098	+	0.0367851i
$433$	−0.233422	−	3.26367i	−0.0112176	−	0.156842i	−0.999973	−	0.00730269i	$-0.997675\pi$
$433$	−0.233422	−	3.26367i	−0.0112176	−	0.156842i	0.988756	−	0.149539i	$-0.0477791\pi$
$434$	−1.16706	+	0.342679i	−0.0560205	+	0.0164491i
$435$	−1.05717	+	1.33479i	−0.0506874	+	0.0639982i
$436$			5.52748i			0.264718i
$437$	4.88776	+	1.05163i	0.233813	+	0.0503064i
$438$	0.118969	+	0.118969i	0.00568456	+	0.00568456i
$439$	−24.8489	+	11.3481i	−1.18597	+	0.541615i	−0.907998	−	0.418974i	$-0.862390\pi$
$439$	−24.8489	+	11.3481i	−1.18597	+	0.541615i	−0.277973	+	0.960589i	$0.589663\pi$
$440$	2.34368	+	2.47503i	0.111730	+	0.117993i
$441$	−3.78418	+	4.36718i	−0.180199	+	0.207961i
$442$	6.12425	+	28.1527i	0.291301	+	1.33909i
$443$	−1.86904	+	26.1325i	−0.0888006	+	1.24159i	0.736318	+	0.676635i	$0.236563\pi$
$443$	−1.86904	+	26.1325i	−0.0888006	+	1.24159i	−0.825119	+	0.564959i	$0.808892\pi$
$444$	0.120284	+	0.836596i	0.00570844	+	0.0397031i
$445$	−4.09171	+	6.00075i	−0.193966	+	0.284463i
$446$	21.0326	−	13.5168i	0.995923	−	0.640041i
$447$	−3.34157	+	2.50147i	−0.158051	+	0.118316i
$448$	1.06200	+	2.84734i	0.0501749	+	0.134524i
$449$	4.57010	+	2.08709i	0.215676	+	0.0984960i	0.520324	−	0.853969i	$-0.325811\pi$
$449$	4.57010	+	2.08709i	0.215676	+	0.0984960i	−0.304647	+	0.952465i	$0.598539\pi$
$450$	12.9246	−	0.218359i	0.609270	−	0.0102935i
$451$	8.13972	+	12.6657i	0.383285	+	0.596402i
$452$	−8.48860	−	15.5457i	−0.399270	−	0.731209i
$453$	−1.18719	+	1.58590i	−0.0557791	+	0.0745121i
$454$	4.45319	+	5.13925i	0.208998	+	0.241197i
$455$	20.6769	+	25.2195i	0.969349	+	1.18231i
$456$	−0.507372	−	0.439641i	−0.0237599	−	0.0205881i
$457$	−33.3638	−	18.2180i	−1.56069	−	0.852202i	−0.999703	−	0.0243781i	$-0.992239\pi$
$457$	−33.3638	−	18.2180i	−1.56069	−	0.852202i	−0.560988	−	0.827824i	$-0.689579\pi$
$458$	−16.7771	−	6.25753i	−0.783942	−	0.292395i
$459$	21.5928			1.00787
$460$	4.90269	+	9.53749i	0.228589	+	0.444688i
$461$	−35.7801			−1.66644			−0.833222	−	0.552938i	$-0.813506\pi$
$461$	−35.7801			−1.66644			−0.833222	+	0.552938i	$0.813506\pi$
$462$	2.79517	+	1.04254i	0.130043	+	0.0485035i
$463$	−5.12210	−	2.79688i	−0.238044	−	0.129982i	0.355800	−	0.934562i	$-0.384209\pi$
$463$	−5.12210	−	2.79688i	−0.238044	−	0.129982i	−0.593844	+	0.804580i	$0.702390\pi$
$464$	−0.893636	−	0.774340i	−0.0414860	−	0.0359478i
$465$	0.573550	+	0.0567668i	0.0265978	+	0.00263250i
$466$	5.92295	+	6.83545i	0.274376	+	0.316646i
$467$	−10.6426	+	14.2169i	−0.492482	+	0.657878i	−0.976080	−	0.217412i	$-0.930239\pi$
$467$	−10.6426	+	14.2169i	−0.492482	+	0.657878i	0.483598	+	0.875290i	$0.339330\pi$
$468$	−5.94623	−	10.8897i	−0.274865	−	0.503377i
$469$	19.8491	+	30.8858i	0.916546	+	1.42617i
$470$	−11.6199	+	23.7120i	−0.535988	+	1.09375i
$471$	3.83189	+	1.74997i	0.176564	+	0.0806342i
$472$	2.68047	+	7.18663i	0.123379	+	0.330791i
$473$	9.11177	−	6.82098i	0.418960	−	0.313629i
$474$	0.411907	−	0.264716i	0.0189195	−	0.0121588i
$475$	3.19375	+	4.11943i	0.146539	+	0.189012i
$476$	−2.59634	−	18.0579i	−0.119003	−	0.827684i
$477$	1.83013	−	25.5885i	0.0837957	−	1.17162i
$478$	−2.03416	−	9.35088i	−0.0930403	−	0.427699i
$479$	−1.63529	+	1.88723i	−0.0747185	+	0.0862297i	−0.791878	−	0.610679i	$-0.790896\pi$
$479$	−1.63529	+	1.88723i	−0.0747185	+	0.0862297i	0.717160	+	0.696909i	$0.245442\pi$
$480$	0.0392398	−	1.43946i	0.00179104	−	0.0657021i
$481$	−5.72955	+	2.61660i	−0.261245	+	0.119307i
$482$	−16.1561	−	16.1561i	−0.735891	−	0.735891i
$483$	7.52635	+	5.60749i	0.342461	+	0.255150i
$484$		−	8.67628i		−	0.394376i
$485$	25.0659	+	19.8525i	1.13818	+	0.901455i
$486$	−13.7145	+	4.02695i	−0.622103	+	0.182666i
$487$	−0.613154	−	8.57302i	−0.0277847	−	0.388480i	−0.992249	−	0.124267i	$-0.960342\pi$
$487$	−0.613154	−	8.57302i	−0.0277847	−	0.388480i	0.964464	−	0.264214i	$-0.0851124\pi$
$488$	−3.33403	+	0.725273i	−0.150924	+	0.0328316i
$489$	3.40746	−	2.95258i	0.154091	−	0.133520i
$490$	−2.88507	−	4.08127i	−0.130334	−	0.184373i
$491$	−23.1819	−	6.80682i	−1.04619	−	0.307188i	−0.286910	−	0.957958i	$-0.592628\pi$
$491$	−23.1819	−	6.80682i	−1.04619	−	0.307188i	−0.759275	+	0.650770i	$0.774446\pi$
$492$	1.35200	−	6.21505i	0.0609530	−	0.280196i
$493$	4.25401	+	5.68269i	0.191591	+	0.255936i
$494$	2.07839	−	4.55104i	0.0935113	−	0.204761i
$495$	6.50010	+	5.95011i	0.292158	+	0.267438i
$496$	−0.0569610	+	0.396172i	−0.00255762	+	0.0177887i
$497$	−6.19018	−	1.34659i	−0.277667	−	0.0604029i
$498$	3.24697	−	1.77298i	0.145500	−	0.0794491i
$499$	20.5566	−	2.95559i	0.920238	−	0.132310i	0.334115	−	0.942532i	$-0.391563\pi$
$499$	20.5566	−	2.95559i	0.920238	−	0.132310i	0.586123	+	0.810222i	$0.300653\pi$
$500$	−2.48960	+	10.8996i	−0.111338	+	0.487446i
$501$	−13.0283	−	8.37278i	−0.582062	−	0.374068i
$502$	−11.0598	+	0.791010i	−0.493622	+	0.0353045i
$503$	13.6885	−	25.0687i	0.610341	−	1.11776i	−0.371568	−	0.928406i	$-0.621180\pi$
$503$	13.6885	−	25.0687i	0.610341	−	1.11776i	0.981909	−	0.189351i	$-0.0606384\pi$
$504$	3.26372	+	7.14655i	0.145378	+	0.318333i
$505$	−13.4080	+	41.4497i	−0.596648	+	1.84449i
$506$	−2.04369	+	7.01918i	−0.0908531	+	0.312041i
$507$	−4.56856	+	4.56856i	−0.202897	+	0.202897i
$508$	−3.68774	+	9.88722i	−0.163617	+	0.438674i
$509$	10.7070	+	36.4647i	0.474580	+	1.61627i	0.754537	+	0.656257i	$0.227861\pi$
$509$	10.7070	+	36.4647i	0.474580	+	1.61627i	−0.279958	+	0.960012i	$0.590320\pi$
$510$	−2.06706	+	8.39392i	−0.0915311	+	0.371689i
$511$	0.429244	−	0.667916i	0.0189886	−	0.0295469i
$512$	0.997452	+	0.0713392i	0.0440816	+	0.00315278i
$513$	−3.00177	−	2.24710i	−0.132532	−	0.0992118i
$514$	1.43377	−	4.88298i	0.0632409	−	0.215379i
$515$	−25.1825	−	14.6553i	−1.10968	−	0.645791i
$516$	−4.75949	−	0.684311i	−0.209525	−	0.0301251i
$517$	−16.8666	+	6.29091i	−0.741791	+	0.276674i
$518$	3.73699	−	1.39382i	0.164194	−	0.0612411i
$519$	−6.34851	−	0.912778i	−0.278669	−	0.0400665i
$520$	10.3753	−	2.74169i	0.454987	−	0.120231i
$521$	−6.04557	+	20.5893i	−0.264861	+	0.902035i	0.714452	+	0.699685i	$0.246676\pi$
$521$	−6.04557	+	20.5893i	−0.264861	+	0.902035i	−0.979313	+	0.202350i	$0.935142\pi$
$522$	−2.44723	−	1.83197i	−0.107112	−	0.0801832i
$523$	5.31316	+	0.380005i	0.232328	+	0.0166164i	0.187018	−	0.982357i	$-0.440118\pi$
$523$	5.31316	+	0.380005i	0.232328	+	0.0166164i	0.0453104	+	0.998973i	$0.485572\pi$
$524$	−11.4773	+	17.8590i	−0.501386	+	0.780172i
$525$	2.24121	+	9.52507i	0.0978146	+	0.415708i
$526$	3.87634	+	13.2016i	0.169016	+	0.575617i
$527$	0.839688	−	2.25129i	0.0365774	−	0.0980677i
$528$	0.694150	−	0.694150i	0.0302090	−	0.0302090i
$529$	−12.3466	+	19.4052i	−0.536809	+	0.843704i
$530$	21.1116	+	6.82908i	0.917028	+	0.296636i
$531$	8.23757	+	18.0378i	0.357480	+	0.782772i
$532$	−1.51830	+	2.78055i	−0.0658265	+	0.120552i
$533$	47.2795	−	3.38150i	2.04790	−	0.146469i
$534$	1.75968	+	1.13088i	0.0761489	+	0.0489379i
$535$	15.9529	+	6.45057i	0.689703	+	0.278883i
$536$	11.9582	−	1.71933i	0.516515	−	0.0742637i
$537$	−3.75649	+	2.05120i	−0.162104	+	0.0885157i
$538$	−17.3376	−	3.77155i	−0.747475	−	0.162603i
$539$	0.484906	−	3.37259i	0.0208864	−	0.145268i
$540$	−0.354946	−	8.03495i	−0.0152744	−	0.345769i
$541$	−14.9034	+	32.6339i	−0.640748	+	1.40304i	0.258676	+	0.965964i	$0.416714\pi$
$541$	−14.9034	+	32.6339i	−0.640748	+	1.40304i	−0.899424	+	0.437078i	$0.856013\pi$
$542$	−1.68205	−	2.24696i	−0.0722504	−	0.0965152i
$543$	1.30772	−	6.01150i	0.0561197	−	0.257978i
$544$	−5.76010	−	1.69132i	−0.246962	−	0.0725146i
$545$	−12.1815	−	2.09171i	−0.521800	−	0.0895990i
$546$	7.09823	−	6.15065i	0.303776	−	0.263223i
$547$	29.3994	−	6.39545i	1.25703	−	0.273450i	0.465755	−	0.884914i	$-0.345783\pi$
$547$	29.3994	−	6.39545i	1.25703	−	0.273450i	0.791272	+	0.611464i	$0.209419\pi$
$548$	−0.228894	−	3.20035i	−0.00977786	−	0.136712i
$549$	−8.46368	+	2.48516i	−0.361221	+	0.106064i
$550$	−6.34141	+	4.22842i	−0.270399	+	0.180301i
$551$		−	1.23269i		−	0.0525145i
$552$	2.70729	−	1.48630i	0.115230	−	0.0632610i
$553$	−1.63382	−	1.63382i	−0.0694770	−	0.0694770i
$554$	16.0639	−	7.33614i	0.682490	−	0.311683i
$555$	−1.88922	−	0.0515002i	−0.0801929	−	0.00218606i
$556$	−3.61683	+	4.17405i	−0.153388	+	0.177019i
$557$	3.06539	+	14.0914i	0.129885	+	0.597070i	0.995368	+	0.0961331i	$0.0306475\pi$
$557$	3.06539	+	14.0914i	0.129885	+	0.597070i	−0.865484	+	0.500937i	$0.832989\pi$
$558$	−0.0738181	+	1.03211i	−0.00312497	+	0.0436928i
$559$	−5.09976	−	35.4696i	−0.215697	−	1.50020i
$560$	−6.67689	+	1.26297i	−0.282150	+	0.0533701i
$561$	−4.95774	+	3.18614i	−0.209316	+	0.134519i
$562$	−12.9431	+	9.68908i	−0.545971	+	0.408709i
$563$	−1.80810	−	4.84770i	−0.0762023	−	0.204306i	0.893263	−	0.449534i	$-0.148410\pi$
$563$	−1.80810	−	4.84770i	−0.0762023	−	0.204306i	−0.969465	+	0.245228i	$0.921137\pi$
$564$	6.91768	+	3.15920i	0.291287	+	0.133026i
$565$	37.4721	−	12.8245i	1.57646	−	0.539531i
$566$	9.09587	+	14.1534i	0.382328	+	0.594914i
$567$	7.92220	+	14.5084i	0.332701	+	0.609296i
$568$	−1.24925	+	1.66880i	−0.0524173	+	0.0700212i
$569$	−13.4623	−	15.5364i	−0.564370	−	0.651318i	0.399800	−	0.916602i	$-0.369080\pi$
$569$	−13.4623	−	15.5364i	−0.564370	−	0.651318i	−0.964170	+	0.265285i	$0.914534\pi$
$570$	1.16089	−	0.951786i	0.0486242	−	0.0398659i
$571$	−21.4332	−	18.5719i	−0.896950	−	0.777212i	0.0786191	−	0.996905i	$-0.474949\pi$
$571$	−21.4332	−	18.5719i	−0.896950	−	0.777212i	−0.975569	+	0.219693i	$0.929494\pi$
$572$	6.42097	+	3.50611i	0.268474	+	0.146598i
$573$	10.1899	+	3.80064i	0.425690	+	0.158774i
$574$	−30.0145			−1.25278
$575$	−22.8741	+	7.19544i	−0.953917	+	0.300071i
$576$	2.58528			0.107720
$577$	−18.6624	−	6.96070i	−0.776924	−	0.289778i	−0.0704488	−	0.997515i	$-0.522443\pi$
$577$	−18.6624	−	6.96070i	−0.776924	−	0.289778i	−0.706475	+	0.707738i	$0.749716\pi$
$578$	16.7104	+	9.12456i	0.695060	+	0.379532i
$579$	−3.33531	−	2.89006i	−0.138611	−	0.120107i
$580$	2.04467	−	1.67638i	0.0849003	−	0.0696080i
$581$	−11.4324	−	13.1937i	−0.474297	−	0.547368i
$582$	5.51866	−	7.37207i	0.228756	−	0.305582i
$583$	7.24934	+	13.2762i	0.300237	+	0.549843i
$584$	−0.141248	−	0.219786i	−0.00584487	−	0.00909479i
$585$	26.2491	−	8.98351i	1.08527	−	0.371422i
$586$	8.68251	+	3.96517i	0.358671	+	0.163800i
$587$	7.82857	+	20.9892i	0.323120	+	0.866317i	0.992372	+	0.123282i	$0.0393419\pi$
$587$	7.82857	+	20.9892i	0.323120	+	0.866317i	−0.669252	+	0.743035i	$0.733385\pi$
$588$	−1.15232	+	0.862620i	−0.0475211	+	0.0355738i
$589$	−0.351016	+	0.225584i	−0.0144634	+	0.00929503i
$590$	−16.8523	+	3.18770i	−0.693800	+	0.131236i
$591$	−1.75165	−	12.1830i	−0.0720532	−	0.501141i
$592$	0.0936290	−	1.30911i	0.00384813	−	0.0538039i
$593$	−7.68184	−	35.3128i	−0.315455	−	1.45012i	−0.812785	−	0.582563i	$-0.802050\pi$
$593$	−7.68184	−	35.3128i	−0.315455	−	1.45012i	0.497330	−	0.867561i	$-0.334314\pi$
$594$	3.59056	−	4.14373i	0.147323	−	0.170019i
$595$	40.7788	+	1.11163i	1.67177	+	0.0455725i
$596$	5.89599	−	2.69261i	0.241509	−	0.110294i
$597$	−12.4156	−	12.4156i	−0.508138	−	0.508138i
$598$	16.3120	+	16.2380i	0.667047	+	0.664020i
$599$		−	32.2679i		−	1.31843i	−0.751954	−	0.659215i	$-0.770889\pi$
$599$		−	32.2679i		−	1.31843i	0.751954	−	0.659215i	$-0.229111\pi$
$600$	3.15746	+	0.631198i	0.128903	+	0.0257686i
$601$	11.9329	−	3.50381i	0.486753	−	0.142924i	−0.0291423	−	0.999575i	$-0.509278\pi$
$601$	11.9329	−	3.50381i	0.486753	−	0.142924i	0.515895	+	0.856652i	$0.327459\pi$
$602$	1.61874	+	22.6330i	0.0659751	+	0.922452i
$603$	30.5194	−	6.63910i	1.24285	−	0.270365i
$604$	2.32484	−	2.01449i	0.0945966	−	0.0819684i
$605$	19.1209	+	3.28328i	0.777375	+	0.133484i
$606$	12.0383	+	3.53476i	0.489022	+	0.143590i
$607$	1.51600	−	6.96893i	0.0615325	−	0.282860i	−0.936091	−	0.351757i	$-0.885584\pi$
$607$	1.51600	−	6.96893i	0.0615325	−	0.282860i	0.997624	+	0.0688969i	$0.0219480\pi$
$608$	0.624742	+	0.834558i	0.0253366	+	0.0338458i
$609$	0.961311	−	2.10498i	0.0389543	−	0.0852980i
$610$	−0.336705	−	7.62204i	−0.0136328	−	0.308607i
$611$	−8.06569	+	56.0981i	−0.326303	+	2.26949i
$612$	−15.1655	−	3.29905i	−0.613028	−	0.133356i
$613$	−11.5562	+	6.31019i	−0.466752	+	0.254866i	−0.695372	−	0.718650i	$-0.744761\pi$
$613$	−11.5562	+	6.31019i	−0.466752	+	0.254866i	0.228620	+	0.973516i	$0.426579\pi$
$614$	−3.80963	+	0.547743i	−0.153744	+	0.0221051i
$615$	13.1852	+	5.33146i	0.531679	+	0.214985i
$616$	−3.89710	−	2.50452i	−0.157019	−	0.100910i
$617$	−10.2915	+	0.736065i	−0.414322	+	0.0296329i	−0.276944	−	0.960886i	$-0.589322\pi$
$617$	−10.2915	+	0.736065i	−0.414322	+	0.0296329i	−0.137377	+	0.990519i	$0.543867\pi$
$618$	−4.02153	+	7.36488i	−0.161770	+	0.296259i
$619$	−3.41915	−	7.48689i	−0.137427	−	0.300923i	0.828388	−	0.560154i	$-0.189258\pi$
$619$	−3.41915	−	7.48689i	−0.137427	−	0.300923i	−0.965815	+	0.259231i	$0.916531\pi$
$620$	−0.851535	−	0.275451i	−0.0341985	−	0.0110624i
$621$	14.4903	−	9.35895i	0.581474	−	0.375562i
$622$	−9.60991	+	9.60991i	−0.385322	+	0.385322i
$623$	3.44950	−	9.24847i	0.138201	−	0.370532i
$624$	−0.870735	−	2.96545i	−0.0348573	−	0.118713i
$625$	−23.0786	−	9.61126i	−0.923146	−	0.384451i
$626$	−1.02031	+	1.58763i	−0.0407798	+	0.0634546i
$627$	1.02078	+	0.0730078i	0.0407661	+	0.00291565i
$628$	−5.23667	−	3.92012i	−0.208966	−	0.156430i
$629$	−2.21977	+	7.55984i	−0.0885079	+	0.301430i
$630$	−16.9847	+	4.48824i	−0.676688	+	0.178816i
$631$	17.6540	+	2.53826i	0.702793	+	0.101046i	0.484441	−	0.874824i	$-0.339023\pi$
$631$	17.6540	+	2.53826i	0.702793	+	0.101046i	0.218352	+	0.975870i	$0.429932\pi$
$632$	−0.712380	+	0.265704i	−0.0283370	+	0.0105691i
$633$	6.56662	−	2.44922i	0.261000	−	0.0973479i
$634$	−31.8071	−	4.57317i	−1.26322	−	0.181624i
$635$	−20.3941	−	11.8686i	−0.809314	−	0.470992i
$636$	1.80036	−	6.13145i	0.0713888	−	0.243128i
$637$	−8.58759	−	6.42859i	−0.340253	−	0.254710i
$638$	1.79790	+	0.128589i	0.0711797	+	0.00509087i
$639$	−2.91365	+	4.53372i	−0.115262	+	0.179351i
$640$	−0.534674	+	2.17120i	−0.0211348	+	0.0858243i
$641$	−6.59443	−	22.4586i	−0.260464	−	0.887060i	−0.981060	−	0.193705i	$-0.937950\pi$
$641$	−6.59443	−	22.4586i	−0.260464	−	0.887060i	0.720596	−	0.693356i	$-0.243869\pi$
$642$	1.73187	−	4.64333i	0.0683516	−	0.183258i
$643$	−0.434144	+	0.434144i	−0.0171210	+	0.0171210i	−0.715615	−	0.698494i	$-0.753854\pi$
$643$	−0.434144	+	0.434144i	−0.0171210	+	0.0171210i	0.698494	+	0.715615i	$0.253854\pi$
$644$	−9.56914	−	10.9928i	−0.377077	−	0.433176i
$645$	3.30918	−	10.2301i	0.130299	−	0.402809i
$646$	−2.59982	−	5.69281i	−0.102288	−	0.223980i
$647$	−2.00015	+	3.66301i	−0.0786342	+	0.144008i	−0.914038	−	0.405630i	$-0.867052\pi$
$647$	−2.00015	+	3.66301i	−0.0786342	+	0.144008i	0.835403	+	0.549637i	$0.185234\pi$
$648$	5.42567	−	0.388052i	0.213140	−	0.0152441i
$649$	−9.83621	−	6.32135i	−0.386105	−	0.248135i
$650$	2.11595	+	23.9027i	0.0829943	+	0.937542i
$651$	−0.775324	+	0.111475i	−0.0303873	+	0.00436904i
$652$	−6.14486	+	3.35535i	−0.240651	+	0.131406i
$653$	−11.2747	−	2.45265i	−0.441211	−	0.0959796i	−0.0135284	−	0.999908i	$-0.504306\pi$
$653$	−11.2747	−	2.45265i	−0.441211	−	0.0959796i	−0.427683	+	0.903929i	$0.640670\pi$
$654$	−0.506587	+	3.52339i	−0.0198091	+	0.137775i
$655$	−35.0146	−	32.0519i	−1.36813	−	1.25237i
$656$	−4.10290	+	8.98410i	−0.160191	+	0.350770i
$657$	−0.404770	−	0.540709i	−0.0157916	−	0.0210951i
$658$	7.62841	−	35.0672i	0.297386	−	1.36706i
$659$	−40.2541	−	11.8197i	−1.56808	−	0.460429i	−0.621635	−	0.783307i	$-0.713531\pi$
$659$	−40.2541	−	11.8197i	−1.56808	−	0.460429i	−0.946441	+	0.322878i	$0.895350\pi$
$660$	1.26710	+	1.79246i	0.0493217	+	0.0697714i
$661$	−2.35141	+	2.03751i	−0.0914592	+	0.0792498i	−0.699390	−	0.714740i	$-0.746545\pi$
$661$	−2.35141	+	2.03751i	−0.0914592	+	0.0792498i	0.607931	+	0.793990i	$0.292000\pi$
$662$	9.83806	−	2.14014i	0.382367	−	0.0831789i
$663$	1.32363	+	18.5067i	0.0514054	+	0.718741i
$664$	−5.51198	+	1.61846i	−0.213906	+	0.0628086i
$665$	−5.55327	−	4.39826i	−0.215347	−	0.170557i
$666$		−	3.39305i		−	0.131478i
$667$	5.31777	+	1.96966i	0.205905	+	0.0762656i
$668$	17.0047	+	17.0047i	0.657933	+	0.657933i
$669$	14.6456	−	6.68844i	0.566233	−	0.258590i
$670$	−0.736137	+	27.0043i	−0.0284395	+	1.04327i
$671$	3.40605	−	3.93079i	0.131489	−	0.151746i
$672$	0.415998	+	1.91231i	0.0160475	+	0.0737691i
$673$	1.25616	−	17.5634i	0.0484213	−	0.677018i	−0.914044	−	0.405614i	$-0.867058\pi$
$673$	1.25616	−	17.5634i	0.0484213	−	0.677018i	0.962466	−	0.271404i	$-0.0874878\pi$
$674$	2.96890	+	20.6491i	0.114358	+	0.795375i
$675$	17.8419	+	2.25835i	0.686733	+	0.0869239i
$676$	8.44005	−	5.42409i	0.324617	−	0.208619i
$677$	−3.17017	+	2.37316i	−0.121839	+	0.0912079i	−0.658460	−	0.752616i	$-0.728792\pi$
$677$	−3.17017	+	2.37316i	−0.121839	+	0.0912079i	0.536620	+	0.843824i	$0.319701\pi$
$678$	−3.98615	−	10.6873i	−0.153087	−	0.410443i
$679$	−39.5292	−	18.0524i	−1.51699	−	0.692787i
$680$	5.90709	−	12.0542i	0.226526	−	0.462256i
$681$	2.36759	+	3.68405i	0.0907264	+	0.141173i
$682$	−0.292402	−	0.535494i	−0.0111967	−	0.0205051i
$683$	18.7189	−	25.0055i	0.716258	−	0.956809i	−0.283740	−	0.958901i	$-0.591575\pi$
$683$	18.7189	−	25.0055i	0.716258	−	0.956809i	0.999998	+	0.00209242i	$0.000666039\pi$
$684$	1.76494	+	2.03685i	0.0674841	+	0.0778808i
$685$	7.13960	+	0.706638i	0.272790	+	0.0269993i
$686$	−10.9432	−	9.48238i	−0.417815	−	0.362039i
$687$	−10.1207	−	5.52635i	−0.386131	−	0.210843i
$688$	6.99589	+	2.60933i	0.266716	+	0.0994799i
$689$	47.6231			1.81430
$690$	2.25103	+	6.52882i	0.0856952	+	0.248548i
$691$	26.1551			0.994988			0.497494	−	0.867467i	$-0.334254\pi$
$691$	26.1551			0.994988			0.497494	+	0.867467i	$0.334254\pi$
$692$	9.33157	+	3.48050i	0.354733	+	0.132309i
$693$	−10.5114	−	5.73963i	−0.399293	−	0.218031i
$694$	−8.08127	−	7.00246i	−0.306761	−	0.265810i
$695$	−7.83015	−	9.55038i	−0.297014	−	0.362266i
$696$	−0.498664	−	0.575489i	−0.0189018	−	0.0218138i
$697$	35.5324	−	47.4658i	1.34589	−	1.79789i
$698$	−2.98414	−	5.46505i	−0.112951	−	0.206855i
$699$	3.14901	+	4.89996i	0.119107	+	0.185334i
$700$	−0.256676	−	15.1926i	−0.00970144	−	0.574225i
$701$	28.2179	+	12.8867i	1.06577	+	0.486722i	0.869554	−	0.493838i	$-0.164406\pi$
$701$	28.2179	+	12.8867i	1.06577	+	0.486722i	0.196219	+	0.980560i	$0.437134\pi$
$702$	−6.03249	−	16.1737i	−0.227682	−	0.610438i
$703$	1.09531	−	0.819942i	0.0413106	−	0.0309247i
$704$	−1.28239	+	0.824140i	−0.0483318	+	0.0310609i
$705$	−9.58008	+	14.0498i	−0.360807	+	0.529146i
$706$	−3.28798	−	22.8684i	−0.123745	−	0.860663i
$707$	4.22374	−	59.0557i	0.158850	−	2.22102i
$708$	1.04997	+	4.82664i	0.0394604	+	0.181396i
$709$	4.44607	−	5.13104i	0.166976	−	0.192700i	−0.666095	−	0.745867i	$-0.732035\pi$
$709$	4.44607	−	5.13104i	0.166976	−	0.192700i	0.833070	+	0.553167i	$0.186581\pi$
$710$	−3.20498	−	3.38462i	−0.120281	−	0.127022i
$711$	−1.78801	+	0.816555i	−0.0670555	+	0.0306232i
$712$	−2.29676	−	2.29676i	−0.0860748	−	0.0860748i
$713$	−0.412286	−	1.87471i	−0.0154402	−	0.0702086i
$714$		−	11.7486i		−	0.439682i
$715$	−10.1566	+	12.8238i	−0.379837	+	0.479584i
$716$	6.37693	−	1.87244i	0.238317	−	0.0699762i
$717$	−0.439640	−	6.14697i	−0.0164187	−	0.229563i
$718$	14.9356	−	3.24904i	0.557391	−	0.121253i
$719$	3.77983	−	3.27524i	0.140964	−	0.122146i	−0.581525	−	0.813529i	$-0.697544\pi$
$719$	3.77983	−	3.27524i	0.140964	−	0.122146i	0.722489	+	0.691383i	$0.242998\pi$
$720$	−0.978322	+	5.69748i	−0.0364599	+	0.212333i
$721$	37.9943	+	11.1561i	1.41498	+	0.415476i
$722$	3.80773	−	17.5038i	0.141709	−	0.651425i
$723$	−8.81773	−	11.7791i	−0.327935	−	0.438070i
$724$	−3.96852	+	8.68986i	−0.147489	+	0.322956i
$725$	2.92069	+	5.14045i	0.108472	+	0.190912i
$726$	0.795170	−	5.53053i	0.0295115	−	0.205257i
$727$	49.3607	+	10.7378i	1.83069	+	0.398241i	0.989740	−	0.142877i	$-0.0456354\pi$
$727$	49.3607	+	10.7378i	1.83069	+	0.398241i	0.840946	+	0.541119i	$0.181999\pi$
$728$	−12.8006	+	6.98967i	−0.474423	+	0.259054i
$729$	7.04136	−	1.01240i	0.260791	−	0.0374961i
$730$	0.537818	−	0.228112i	0.0199055	−	0.00844281i
$731$	−37.7087	−	24.2339i	−1.39471	−	0.896324i
$732$	−2.19168	+	0.156752i	−0.0810069	+	0.00579373i
$733$	−8.99307	+	16.4696i	−0.332167	+	0.608318i	−0.989374	−	0.145392i	$-0.953556\pi$
$733$	−8.99307	+	16.4696i	−0.332167	+	0.608318i	0.657207	+	0.753710i	$0.271738\pi$
$734$	3.36541	+	7.36921i	0.124219	+	0.272003i
$735$	−1.46499	−	2.86594i	−0.0540370	−	0.105712i
$736$	−4.59848	+	1.36160i	−0.169502	+	0.0501894i
$737$	−13.0222	+	13.0222i	−0.479680	+	0.479680i
$738$	−8.92317	+	23.9240i	−0.328467	+	0.880653i
$739$	11.0149	+	37.5133i	0.405190	+	1.37995i	0.869350	+	0.494198i	$0.164538\pi$
$739$	11.0149	+	37.5133i	0.405190	+	1.37995i	−0.464160	+	0.885751i	$0.653644\pi$
$740$	2.84959	+	0.701733i	0.104753	+	0.0257962i
$741$	1.74193	−	2.71049i	0.0639913	−	0.0995725i
$742$	−30.0788	−	2.15128i	−1.10423	−	0.0789758i
$743$	−23.7459	−	17.7760i	−0.871153	−	0.652137i	0.0672284	−	0.997738i	$-0.478584\pi$
$743$	−23.7459	−	17.7760i	−0.871153	−	0.652137i	−0.938382	+	0.345600i	$0.887675\pi$
$744$	−0.0726174	+	0.247312i	−0.00266228	+	0.00906690i
$745$	3.70285	+	14.0126i	0.135662	+	0.513382i
$746$	23.3940	+	3.36355i	0.856516	+	0.123148i
$747$	−13.9152	+	5.19011i	−0.509132	+	0.189896i
$748$	8.57426	−	3.19803i	0.313506	−	0.116932i
$749$	−23.1482	−	3.32821i	−0.845816	−	0.121610i
$750$	−2.58589	+	6.71959i	−0.0944233	+	0.245365i
$751$	6.11225	−	20.8164i	0.223039	−	0.759601i	−0.769604	−	0.638522i	$-0.779546\pi$
$751$	6.11225	−	20.8164i	0.223039	−	0.759601i	0.992643	−	0.121080i	$-0.0386356\pi$
$752$	−9.45371	−	7.07696i	−0.344741	−	0.258070i
$753$	−7.12234	−	0.509400i	−0.259552	−	0.0185636i
$754$	3.06806	−	4.77400i	0.111732	−	0.173859i
$755$	3.55979	+	5.88585i	0.129554	+	0.214208i
$756$	3.07951	+	10.4878i	0.112001	+	0.381439i
$757$	15.2526	−	40.8938i	0.554365	−	1.48631i	−0.293426	−	0.955982i	$-0.594796\pi$
$757$	15.2526	−	40.8938i	0.554365	−	1.48631i	0.847792	−	0.530329i	$-0.177932\pi$
$758$	14.2248	−	14.2248i	0.516669	−	0.516669i
$759$	−1.94601	+	4.28694i	−0.0706357	+	0.155606i
$760$	−2.07563	+	1.06100i	−0.0752908	+	0.0384866i
$761$	5.37924	+	11.7789i	0.194997	+	0.426985i	0.981722	−	0.190319i	$-0.0609522\pi$
$761$	5.37924	+	11.7789i	0.194997	+	0.426985i	−0.786725	+	0.617304i	$0.788225\pi$
$762$	−3.25683	+	5.96444i	−0.117983	+	0.216069i
$763$	16.7549	−	1.19834i	0.606569	−	0.0433827i
$764$	−14.2071	−	9.13034i	−0.513994	−	0.330324i
$765$	13.0094	−	32.1735i	0.470356	−	1.16323i
$766$	−29.5833	+	4.25344i	−1.06889	+	0.153683i
$767$	−32.3085	+	17.6418i	−1.16659	+	0.637008i
$768$	0.629269	+	0.136889i	0.0227068	+	0.00493956i
$769$	3.68508	−	25.6303i	0.132887	−	0.924252i	−0.808877	−	0.587978i	$-0.799924\pi$
$769$	3.68508	−	25.6303i	0.132887	−	0.924252i	0.941764	−	0.336274i	$-0.109167\pi$
$770$	6.99423	−	7.64073i	0.252055	−	0.275353i
$771$	1.36145	−	2.98116i	0.0490314	−	0.107364i
$772$	4.10686	+	5.48613i	0.147809	+	0.197450i
$773$	−0.656492	+	3.01784i	−0.0236124	+	0.108544i	−0.987445	−	0.157965i	$-0.949507\pi$
$773$	−0.656492	+	3.01784i	−0.0236124	+	0.108544i	0.963832	+	0.266509i	$0.0858703\pi$
$774$	18.5215	+	5.43841i	0.665742	+	0.195480i
$775$	0.929280	−	1.77239i	0.0333807	−	0.0636661i
$776$	−10.8070	+	9.36436i	−0.387950	+	0.336161i
$777$	2.50981	−	0.545977i	0.0900391	−	0.0195868i
$778$	−0.638803	−	8.93163i	−0.0229022	−	0.320215i
$779$	−9.87923	+	2.90080i	−0.353960	+	0.103932i
$780$	6.86481	−	0.796752i	0.245800	−	0.0285283i
$781$		−	3.17770i		−	0.113707i
$782$	28.7126	−	2.11921i	1.02676	−	0.0757827i
$783$	−3.00738	−	3.00738i	−0.107475	−	0.107475i
$784$	2.03320	−	0.928532i	0.0726144	−	0.0331619i
$785$	10.6209	−	10.0572i	0.379075	−	0.358957i
$786$	−8.95271	+	10.3320i	−0.319333	+	0.368529i
$787$	1.04159	+	4.78809i	0.0371285	+	0.170677i	0.991977	−	0.126415i	$-0.0403470\pi$
$787$	1.04159	+	4.78809i	0.0371285	+	0.170677i	−0.954849	+	0.297092i	$0.903983\pi$
$788$	−1.36348	+	19.0639i	−0.0485719	+	0.679124i
$789$	1.26099	+	8.77037i	0.0448924	+	0.312234i
$790$	−0.315984	−	1.67050i	−0.0112422	−	0.0594338i
$791$	−45.2819	+	29.1009i	−1.61004	+	1.03471i
$792$	−3.15489	+	2.36172i	−0.112104	+	0.0839200i
$793$	−5.72248	−	15.3426i	−0.203211	−	0.544831i
$794$	−4.05181	−	1.85040i	−0.143793	−	0.0656683i
$795$	12.8313	+	6.28791i	0.455079	+	0.223009i
$796$	14.7406	+	22.9369i	0.522468	+	0.812976i
$797$	13.5210	+	24.7618i	0.478937	+	0.877108i	0.999726	+	0.0234220i	$0.00745612\pi$
$797$	13.5210	+	24.7618i	0.478937	+	0.877108i	−0.520789	+	0.853686i	$0.674362\pi$
$798$	−1.22264	+	1.63326i	−0.0432811	+	0.0578168i
$799$	46.4254	+	53.5778i	1.64241	+	1.89545i
$800$	−4.58260	−	1.99995i	−0.162019	−	0.0707089i
$801$	−6.34624	−	5.49905i	−0.224233	−	0.194299i
$802$	10.1959	+	5.56740i	0.360031	+	0.196592i
$803$	0.373148	+	0.139177i	0.0131681	+	0.00491144i
$804$	7.78010			0.274383
$805$	27.8472	−	16.9287i	0.981484	−	0.596659i
$806$	−1.92088			−0.0676600
$807$	−10.7058	−	3.99307i	−0.376863	−	0.140563i
$808$	−17.0995	−	9.33701i	−0.601557	−	0.328475i
$809$	5.17685	+	4.48577i	0.182008	+	0.157711i	0.741100	−	0.671395i	$-0.234304\pi$
$809$	5.17685	+	4.48577i	0.182008	+	0.157711i	−0.559091	+	0.829106i	$0.688850\pi$
$810$	−1.19799	+	12.1040i	−0.0420930	+	0.425292i
$811$	−23.9634	−	27.6553i	−0.841469	−	0.971107i	0.158398	−	0.987375i	$-0.449367\pi$
$811$	−23.9634	−	27.6553i	−0.841469	−	0.971107i	−0.999868	+	0.0162679i	$0.994822\pi$
$812$	−2.15344	+	2.87666i	−0.0755711	+	0.100951i
$813$	−0.866262	−	1.58644i	−0.0303811	−	0.0556389i
$814$	1.08164	+	1.68307i	0.0379115	+	0.0589915i
$815$	−5.06923	−	14.8119i	−0.177567	−	0.518837i
$816$	−3.51666	−	1.60600i	−0.123108	−	0.0562214i
$817$	2.72021	+	7.29316i	0.0951681	+	0.255155i
$818$	−20.5403	+	15.3763i	−0.718174	+	0.537618i
$819$	−31.7198	+	20.3851i	−1.10838	+	0.712312i
$820$	−18.2467	−	12.4418i	−0.637201	−	0.434486i
$821$	−1.74414	−	12.1308i	−0.0608709	−	0.423366i	−0.997357	−	0.0726609i	$-0.976851\pi$
$821$	−1.74414	−	12.1308i	−0.0608709	−	0.423366i	0.936486	−	0.350705i	$-0.114058\pi$
$822$	0.147404	−	2.06098i	0.00514132	−	0.0718850i
$823$	4.15036	+	19.0789i	0.144673	+	0.665049i	0.991164	+	0.132646i	$0.0423473\pi$
$823$	4.15036	+	19.0789i	0.144673	+	0.665049i	−0.846491	+	0.532403i	$0.821289\pi$
$824$	8.53301	−	9.84762i	0.297262	−	0.343058i
$825$	−4.42974	+	2.11415i	−0.154224	+	0.0736051i
$826$	21.2030	−	9.68309i	0.737747	−	0.336918i
$827$	20.4404	+	20.4404i	0.710781	+	0.710781i	0.966699	−	0.255918i	$-0.0823776\pi$
$827$	20.4404	+	20.4404i	0.710781	+	0.710781i	−0.255918	+	0.966699i	$0.582378\pi$
$828$	−11.6070	+	4.35927i	−0.403370	+	0.151495i
$829$			27.7357i			0.963301i	0.876363	+	0.481651i	$0.159963\pi$
$829$			27.7357i			0.963301i	−0.876363	+	0.481651i	$0.840037\pi$
$830$	−1.48095	−	12.7599i	−0.0514046	−	0.442901i
$831$	10.9120	−	3.20405i	0.378533	−	0.111147i
$832$	0.342374	+	4.78701i	0.0118697	+	0.165960i
$833$	−13.1118	+	2.85230i	−0.454297	+	0.0988264i
$834$	−2.68803	+	2.32919i	−0.0930788	+	0.0806533i
$835$	−43.9102	+	31.0403i	−1.51957	+	1.07420i
$836$	−1.52478	−	0.447715i	−0.0527355	−	0.0154846i
$837$	−0.306014	+	1.40672i	−0.0105774	+	0.0486234i
$838$	19.3420	+	25.8379i	0.668160	+	0.892557i
$839$	−13.5691	+	29.7123i	−0.468459	+	1.02578i	0.517018	+	0.855974i	$0.327042\pi$
$839$	−13.5691	+	29.7123i	−0.468459	+	1.02578i	−0.985477	+	0.169808i	$0.945685\pi$
$840$	−4.37181	+	0.193126i	−0.150842	+	0.00666347i
$841$	−3.92815	+	27.3209i	−0.135453	+	0.942099i
$842$	11.7233	+	2.55025i	0.404012	+	0.0878874i
$843$	−9.13832	+	4.98990i	−0.314741	+	0.171861i
$844$	−10.7722	+	1.54882i	−0.370796	+	0.0533124i
$845$	8.75981	+	20.6529i	0.301347	+	0.710481i
$846$	−25.6835	−	16.5058i	−0.883016	−	0.567480i
$847$	−26.2996	+	1.88098i	−0.903664	+	0.0646313i
$848$	−4.75561	+	8.70925i	−0.163308	+	0.299077i
$849$	4.50084	+	9.85547i	0.154468	+	0.338239i
$850$	24.3298	+	17.5797i	0.834504	+	0.602977i
$851$	1.78703	+	6.03527i	0.0612588	+	0.206887i
$852$	−0.949252	+	0.949252i	−0.0325208	+	0.0325208i
$853$	−8.75498	+	23.4730i	−0.299765	+	0.803700i	0.696517	+	0.717541i	$0.254732\pi$
$853$	−8.75498	+	23.4730i	−0.299765	+	0.803700i	−0.996281	+	0.0861598i	$0.972540\pi$
$854$	2.92125	+	9.94888i	0.0999633	+	0.340444i
$855$	−5.15672	+	3.11881i	−0.176356	+	0.106661i
$856$	−4.16050	+	6.47387i	−0.142203	+	0.221272i
$857$	−25.7479	−	1.84153i	−0.879531	−	0.0629053i	−0.375734	−	0.926727i	$-0.622610\pi$
$857$	−25.7479	−	1.84153i	−0.879531	−	0.0629053i	−0.503797	+	0.863822i	$0.668064\pi$
$858$	3.77159	+	2.82338i	0.128760	+	0.0963885i
$859$	15.6516	−	53.3045i	0.534026	−	1.81872i	−0.0390698	−	0.999236i	$-0.512439\pi$
$859$	15.6516	−	53.3045i	0.534026	−	1.81872i	0.573096	−	0.819488i	$-0.305742\pi$
$860$	−8.39787	+	14.4302i	−0.286365	+	0.492067i
$861$	−19.1322	−	2.75079i	−0.652024	−	0.0937468i
$862$	−15.5297	+	5.79229i	−0.528945	+	0.197286i
$863$	29.5368	−	11.0167i	1.00544	−	0.375011i	0.207821	−	0.978167i	$-0.433363\pi$
$863$	29.5368	−	11.0167i	1.00544	−	0.375011i	0.797624	+	0.603155i	$0.206090\pi$
$864$	3.56023	+	0.511884i	0.121122	+	0.0174147i
$865$	−11.2016	+	19.2480i	−0.380866	+	0.654450i
$866$	−0.921832	+	3.13947i	−0.0313251	+	0.106684i
$867$	9.81546	+	7.34776i	0.333351	+	0.249543i
$868$	1.21323	+	0.0867717i	0.0411796	+	0.00294522i
$869$	0.626609	−	0.975022i	0.0212562	−	0.0330754i
$870$	1.45697	−	0.881186i	0.0493961	−	0.0298750i
$871$	16.3350	+	55.6318i	0.553489	+	1.88501i
$872$	1.93166	−	5.17897i	0.0654141	−	0.175382i
$873$	−26.1410	+	26.1410i	−0.884739	+	0.884739i
$874$	−4.21208	−	2.69342i	−0.142476	−	0.0911064i
$875$	33.5787	+	5.18350i	1.13517	+	0.175234i
$876$	−0.0698925	−	0.153043i	−0.00236145	−	0.00517085i
$877$	21.6111	−	39.5778i	0.729755	−	1.33645i	−0.204155	−	0.978939i	$-0.565445\pi$
$877$	21.6111	−	39.5778i	0.729755	−	1.33645i	0.933910	−	0.357508i	$-0.116373\pi$
$878$	27.2479	−	1.94881i	0.919572	−	0.0657691i
$879$	5.17110	+	3.32326i	0.174417	+	0.112091i
$880$	−1.33097	−	3.13801i	−0.0448670	−	0.105782i
$881$	45.4931	−	6.54091i	1.53270	−	0.220369i	0.676279	−	0.736646i	$-0.263592\pi$
$881$	45.4931	−	6.54091i	1.53270	−	0.220369i	0.856422	+	0.516277i	$0.172682\pi$
$882$	5.07176	−	2.76939i	0.170775	−	0.0932502i
$883$	−43.3689	−	9.43432i	−1.45948	−	0.317490i	−0.588374	−	0.808589i	$-0.700232\pi$
$883$	−43.3689	−	9.43432i	−1.45948	−	0.317490i	−0.871104	+	0.491099i	$0.836595\pi$
$884$	4.10025	−	28.5179i	0.137906	−	0.959161i
$885$	−11.0344	+	0.487445i	−0.370916	+	0.0163853i
$886$	10.8836	−	23.8317i	0.365641	−	0.800642i
$887$	16.9673	+	22.6657i	0.569707	+	0.761039i	0.989177	−	0.146730i	$-0.0468749\pi$
$887$	16.9673	+	22.6657i	0.569707	+	0.761039i	−0.419470	+	0.907769i	$0.637784\pi$
$888$	0.179660	−	0.825883i	0.00602899	−	0.0277148i
$889$	30.7696	+	9.03478i	1.03198	+	0.303017i
$890$	5.93078	−	4.19249i	0.198800	−	0.140533i
$891$	−6.26659	+	5.43003i	−0.209939	+	0.181913i
$892$	−24.4302	+	5.31445i	−0.817982	+	0.177941i
$893$	−0.878253	−	12.2796i	−0.0293896	−	0.410920i
$894$	4.00506	−	1.17599i	0.133949	−	0.0393311i
$895$	1.71334	+	14.7621i	0.0572707	+	0.493444i
$896$		−	3.03895i		−	0.101524i
$897$	8.90958	+	11.8456i	0.297482	+	0.395512i
$898$	−3.55259	−	3.55259i	−0.118551	−	0.118551i
$899$	−0.430502	+	0.196604i	−0.0143581	+	0.00655710i
$900$	−12.1860	−	4.31208i	−0.406199	−	0.143736i
$901$	39.0105	−	45.0206i	1.29963	−	1.49985i
$902$	−3.20032	−	14.7116i	−0.106559	−	0.489843i
$903$	−1.04245	+	14.5753i	−0.0346905	+	0.485037i
$904$	2.52072	+	17.5320i	0.0838380	+	0.583106i
$905$	−17.6491	−	12.0343i	−0.586675	−	0.400034i
$906$	1.66655	−	1.07103i	0.0553675	−	0.0355825i
$907$	−30.5252	+	22.8508i	−1.01357	+	0.758750i	−0.970691	−	0.240331i	$-0.922744\pi$
$907$	−30.5252	+	22.8508i	−1.01357	+	0.758750i	−0.0428799	+	0.999080i	$0.513653\pi$
$908$	−2.37643	−	6.37145i	−0.0788645	−	0.211444i
$909$	−45.8163	−	20.9236i	−1.51963	−	0.693992i
$910$	−10.5599	−	30.8552i	−0.350058	−	1.02284i
$911$	3.02224	+	4.70270i	0.100131	+	0.155807i	0.887704	−	0.460414i	$-0.152299\pi$
$911$	3.02224	+	4.70270i	0.100131	+	0.155807i	−0.787573	+	0.616221i	$0.788663\pi$
$912$	0.321744	+	0.589230i	0.0106540	+	0.0195113i
$913$	5.24791	−	7.01039i	0.173680	−	0.232010i
$914$	24.8936	+	28.7288i	0.823408	+	0.950264i
$915$	0.483924	−	4.88938i	0.0159980	−	0.161638i
$916$	13.5325	+	11.7260i	0.447127	+	0.387438i
$917$	56.6223	+	30.9181i	1.86983	+	1.02101i
$918$	−20.2314	−	7.54592i	−0.667736	−	0.249052i
$919$	19.2679			0.635589			0.317795	−	0.948160i	$-0.397058\pi$
$919$	19.2679			0.635589			0.317795	+	0.948160i	$0.397058\pi$
$920$	−1.26056	−	10.6495i	−0.0415595	−	0.351102i
$921$	−2.47858			−0.0816720
$922$	33.5241	+	12.5039i	1.10406	+	0.411793i
$923$	−8.78069	−	4.79462i	−0.289020	−	0.157817i
$924$	−2.25460	−	1.95362i	−0.0741709	−	0.0642694i
$925$	−2.62483	+	6.01443i	−0.0863039	+	0.197753i
$926$	3.82174	+	4.41052i	0.125590	+	0.144939i
$927$	20.1878	−	26.9678i	0.663055	−	0.885738i
$928$	0.566688	+	1.03781i	0.0186024	+	0.0340678i
$929$	7.57936	+	11.7937i	0.248671	+	0.386939i	0.943040	−	0.332680i	$-0.107953\pi$
$929$	7.57936	+	11.7937i	0.248671	+	0.386939i	−0.694369	+	0.719619i	$0.744316\pi$
$930$	−0.517550	−	0.253623i	−0.0169711	−	0.00831663i
$931$	2.11960	+	0.967987i	0.0694670	+	0.0317245i
$932$	−3.16076	−	8.47433i	−0.103534	−	0.277586i
$933$	−7.00639	+	5.24492i	−0.229379	+	0.171711i
$934$	14.9399	−	9.60128i	0.488848	−	0.314163i
$935$	3.80320	+	20.1063i	0.124378	+	0.657545i
$936$	1.76576	+	12.2811i	0.0577155	+	0.401420i
$937$	−1.73243	+	24.2225i	−0.0565959	+	0.791314i	0.887326	+	0.461144i	$0.152561\pi$
$937$	−1.73243	+	24.2225i	−0.0565959	+	0.791314i	−0.943921	+	0.330170i	$0.892894\pi$
$938$	−7.80412	−	35.8750i	−0.254814	−	1.17136i
$939$	−0.795882	+	0.918497i	−0.0259726	+	0.0299740i
$940$	19.1738	−	18.1562i	0.625380	−	0.592189i
$941$	10.1383	−	4.63000i	0.330498	−	0.150934i	−0.243253	−	0.969963i	$-0.578215\pi$
$941$	10.1383	−	4.63000i	0.330498	−	0.150934i	0.573752	+	0.819029i	$0.305487\pi$
$942$	−2.97874	−	2.97874i	−0.0970526	−	0.0970526i
$943$	3.27164	−	47.2535i	0.106539	−	1.53879i
$944$		−	7.67024i		−	0.249645i
$945$	−24.2786	+	2.81786i	−0.789783	+	0.0916649i
$946$	−10.9210	+	3.20668i	−0.355071	+	0.104258i
$947$	0.528326	+	7.38697i	0.0171683	+	0.240044i	0.998789	+	0.0492012i	$0.0156676\pi$
$947$	0.528326	+	7.38697i	0.0171683	+	0.240044i	−0.981621	+	0.190843i	$0.938878\pi$
$948$	−0.478445	+	0.104079i	−0.0155392	+	0.00338034i
$949$	0.947595	−	0.821096i	0.0307602	−	0.0266539i
$950$	−1.55279	−	4.97580i	−0.0503793	−	0.161436i
$951$	−19.8557	−	5.83016i	−0.643865	−	0.189056i
$952$	−3.87796	+	17.8267i	−0.125685	+	0.577767i
$953$	31.6808	+	42.3205i	1.02624	+	1.37090i	0.926674	+	0.375866i	$0.122655\pi$
$953$	31.6808	+	42.3205i	1.02624	+	1.37090i	0.0995663	+	0.995031i	$0.468254\pi$
$954$	−10.6570	+	23.3356i	−0.345033	+	0.755517i
$955$	25.4978	−	27.8547i	0.825090	−	0.901356i
$956$	−1.36189	+	9.47217i	−0.0440468	+	0.306352i
$957$	1.13426	+	0.246742i	0.0366653	+	0.00797604i
$958$	2.19171	−	1.19676i	0.0708108	−	0.0386656i
$959$	−9.65130	+	1.38765i	−0.311657	+	0.0448095i
$960$	−0.539806	+	1.33499i	−0.0174222	+	0.0430866i
$961$	−25.9441	−	16.6733i	−0.836906	−	0.537847i
$962$	6.28271	−	0.449348i	0.202563	−	0.0144876i
$963$	−9.53468	+	17.4615i	−0.307251	+	0.562688i
$964$	9.49149	+	20.7835i	0.305700	+	0.669390i
$965$	−13.6445	+	6.97471i	−0.439233	+	0.224524i
$966$	−5.09220	−	7.88413i	−0.163839	−	0.253668i
$967$	−36.7509	+	36.7509i	−1.18183	+	1.18183i	−0.202558	+	0.979270i	$0.564925\pi$
$967$	−36.7509	+	36.7509i	−1.18183	+	1.18183i	−0.979270	+	0.202558i	$0.935075\pi$
$968$	−3.03205	+	8.12924i	−0.0974537	+	0.261284i
$969$	−1.13547	−	3.86704i	−0.0364764	−	0.124227i
$970$	−16.5477	−	27.3604i	−0.531315	−	0.878489i
$971$	−7.17033	+	11.1573i	−0.230107	+	0.358053i	−0.937037	−	0.349230i	$-0.886443\pi$
$971$	−7.17033	+	11.1573i	−0.230107	+	0.358053i	0.706930	+	0.707283i	$0.250080\pi$
$972$	14.2571	+	1.01969i	0.457296	+	0.0327065i
$973$	13.4365	+	10.0584i	0.430755	+	0.322459i
$974$	−2.42147	+	8.24676i	−0.0775888	+	0.264243i
$975$	−0.841885	+	15.4303i	−0.0269619	+	0.494164i
$976$	3.37727	+	0.485579i	0.108104	+	0.0155430i
$977$	29.2937	−	10.9260i	0.937189	−	0.349554i	0.165976	−	0.986130i	$-0.446923\pi$
$977$	29.2937	−	10.9260i	0.937189	−	0.349554i	0.771214	+	0.636576i	$0.219650\pi$
$978$	−4.22444	+	1.57563i	−0.135083	+	0.0503832i
$979$	4.90094	+	0.704649i	0.156635	+	0.0225207i
$980$	1.27691	+	4.83218i	0.0407894	+	0.154358i
$981$	4.02599	−	13.7112i	0.128540	−	0.437766i
$982$	19.3415	+	14.4789i	0.617214	+	0.462040i
$983$	−58.7158	−	4.19944i	−1.87274	−	0.133941i	−0.911791	−	0.410654i	$-0.865300\pi$
$983$	−58.7158	−	4.19944i	−1.87274	−	0.133941i	−0.960953	+	0.276713i	$0.910755\pi$
$984$	−3.43870	+	5.35072i	−0.109622	+	0.170575i
$985$	−41.4974	−	10.2190i	−1.32222	−	0.325605i
$986$	−1.99990	−	6.81102i	−0.0636897	−	0.216907i
$987$	8.07645	−	21.6538i	0.257076	−	0.689248i
$988$	−3.53777	+	3.53777i	−0.112552	+	0.112552i
$989$	−35.8088	+	0.0814353i	−1.13865	+	0.00258949i
$990$	−4.01092	−	7.84651i	−0.127475	−	0.249378i
$991$	−15.1192	−	33.1064i	−0.480277	−	1.05166i	−0.982387	−	0.186856i	$-0.940170\pi$
$991$	−15.1192	−	33.1064i	−0.480277	−	1.05166i	0.502111	−	0.864803i	$-0.332557\pi$
$992$	0.191818	−	0.351288i	0.00609021	−	0.0111534i
$993$	6.46723	−	0.462545i	0.205231	−	0.0146784i
$994$	5.32930	+	3.42493i	0.169035	+	0.108632i
$995$	−56.1268	+	23.8059i	−1.77934	+	0.754697i
$996$	−3.66184	+	0.526493i	−0.116030	+	0.0166826i
$997$	−40.8367	+	22.2985i	−1.29331	+	0.706202i	−0.970692	−	0.240327i	$-0.922745\pi$
$997$	−40.8367	+	22.2985i	−1.29331	+	0.706202i	−0.322620	+	0.946529i	$0.604564\pi$
$998$	−20.2933	−	4.41455i	−0.642374	−	0.139740i
$999$	0.671822	−	4.67262i	0.0212555	−	0.147835i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.203.3	yes	240
5.2	odd	4	inner	230.2.l.a.157.9	yes	240
23.17	odd	22	inner	230.2.l.a.63.9	yes	240
115.17	even	44	inner	230.2.l.a.17.3	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.17.3	✓	240	115.17	even	44	inner
230.2.l.a.63.9	yes	240	23.17	odd	22	inner
230.2.l.a.157.9	yes	240	5.2	odd	4	inner
230.2.l.a.203.3	yes	240	1.1	even	1	trivial

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 $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-0.936950 - 0.349464i) q^{2} +(-0.565213 - 0.308630i) q^{3} +(0.755750 + 0.654861i) q^{4} +(-1.72918 + 1.41772i) q^{5} +(0.421721 + 0.486692i) q^{6} +(1.82117 - 2.43280i) q^{7} +(-0.479249 - 0.877679i) q^{8} +(-1.39771 - 2.17488i) q^{9} +O(q^{10})\)	\(q+(-0.936950 - 0.349464i) q^{2} +(-0.565213 - 0.308630i) q^{3} +(0.755750 + 0.654861i) q^{4} +(-1.72918 + 1.41772i) q^{5} +(0.421721 + 0.486692i) q^{6} +(1.82117 - 2.43280i) q^{7} +(-0.479249 - 0.877679i) q^{8} +(-1.39771 - 2.17488i) q^{9} +(2.11560 - 0.724045i) q^{10} +(1.38662 + 0.633249i) q^{11} +(-0.225050 - 0.603382i) q^{12} +(3.84199 - 2.87608i) q^{13} +(-2.55652 + 1.64298i) q^{14} +(1.41491 - 0.267637i) q^{15} +(0.142315 + 0.989821i) q^{16} +(0.428269 - 5.98798i) q^{17} +(0.549541 + 2.52620i) q^{18} +(-0.682687 + 0.787863i) q^{19} +(-2.23524 - 0.0609327i) q^{20} +(-1.78018 + 0.812983i) q^{21} +(-1.07790 - 1.07790i) q^{22} +(-2.30796 - 4.20396i) q^{23} +0.643986i q^{24} +(0.980143 - 4.90299i) q^{25} +(-4.60484 + 1.35210i) q^{26} +(0.256596 + 3.58768i) q^{27} +(2.96950 - 0.645974i) q^{28} +(-0.893636 + 0.774340i) q^{29} +(-1.41923 - 0.243697i) q^{30} +(0.384033 + 0.112762i) q^{31} +(0.212565 - 0.977147i) q^{32} +(-0.588297 - 0.785873i) q^{33} +(-2.49385 + 5.46077i) q^{34} +(0.299891 + 6.78867i) q^{35} +(0.367924 - 2.55897i) q^{36} +(-1.28246 - 0.278981i) q^{37} +(0.914973 - 0.499613i) q^{38} +(-3.05919 + 0.439844i) q^{39} +(2.07301 + 0.838226i) q^{40} +(8.30875 + 5.33971i) q^{41} +(1.95205 - 0.139614i) q^{42} +(3.57839 - 6.55334i) q^{43} +(0.633249 + 1.38662i) q^{44} +(5.50026 + 1.77920i) q^{45} +(0.693312 + 4.74545i) q^{46} +(-8.35033 + 8.35033i) q^{47} +(0.225050 - 0.603382i) q^{48} +(-0.629726 - 2.14465i) q^{49} +(-2.63176 + 4.25133i) q^{50} +(-2.09013 + 3.25231i) q^{51} +(4.78701 + 0.342374i) q^{52} +(7.94381 + 5.94666i) q^{53} +(1.01335 - 3.45115i) q^{54} +(-3.29549 + 0.870837i) q^{55} +(-3.00801 - 0.432487i) q^{56} +(0.629021 - 0.234613i) q^{57} +(1.10790 - 0.413224i) q^{58} +(-7.59217 - 1.09159i) q^{59} +(1.24458 + 0.724300i) q^{60} +(0.961272 - 3.27379i) q^{61} +(-0.320413 - 0.239859i) q^{62} +(-7.83652 - 0.560479i) q^{63} +(-0.540641 + 0.841254i) q^{64} +(-2.56603 + 10.4201i) q^{65} +(0.276570 + 0.941912i) q^{66} +(-4.22193 + 11.3194i) q^{67} +(4.24495 - 4.24495i) q^{68} +(0.00702364 + 3.08844i) q^{69} +(2.09141 - 6.46544i) q^{70} +(-0.865969 - 1.89621i) q^{71} +(-1.23899 + 2.26905i) q^{72} +(0.260594 - 0.0186380i) q^{73} +(1.10410 + 0.709564i) q^{74} +(-2.06720 + 2.46873i) q^{75} +(-1.03188 + 0.148362i) q^{76} +(4.06584 - 2.22012i) q^{77} +(3.02001 + 0.656964i) q^{78} +(0.108205 - 0.752579i) q^{79} +(-1.64938 - 1.50982i) q^{80} +(-2.25966 + 4.94797i) q^{81} +(-5.91884 - 7.90665i) q^{82} +(1.22112 - 5.61340i) q^{83} +(-1.87776 - 0.551361i) q^{84} +(7.74872 + 10.9615i) q^{85} +(-5.64293 + 4.88963i) q^{86} +(0.744078 - 0.161864i) q^{87} +(-0.108748 - 1.52049i) q^{88} +(3.11654 - 0.915098i) q^{89} +(-4.53170 - 3.58917i) q^{90} -14.5846i q^{91} +(1.00877 - 4.68854i) q^{92} +(-0.182259 - 0.182259i) q^{93} +(10.7420 - 4.90570i) q^{94} +(0.0635218 - 2.33022i) q^{95} +(-0.421721 + 0.486692i) q^{96} +(-3.03964 - 13.9730i) q^{97} +(-0.159457 + 2.22950i) q^{98} +(-0.560854 - 3.90083i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) 240 * q - 8 * q^3 - 8 * q^6	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) 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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