LMFDB - Embedded newform 336.2.bo.a.101.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(5,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 6, 10]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("336.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bo (of order $12$, degree $4$, 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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			101.17
Character	$\chi$	$=$	336.101
Dual form			336.2.bo.a.173.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.859759 + 1.12286i) q^{2} +(1.37116 - 1.05826i) q^{3} +(-0.521627 - 1.93078i) q^{4} +(-0.128294 + 0.478799i) q^{5} +(0.00940185 + 2.44947i) q^{6} +(-1.18449 - 2.36579i) q^{7} +(2.61647 + 1.07429i) q^{8} +(0.760185 - 2.90209i) q^{9} +O(q^{10})$	\(q+(-0.859759 + 1.12286i) q^{2} +(1.37116 - 1.05826i) q^{3} +(-0.521627 - 1.93078i) q^{4} +(-0.128294 + 0.478799i) q^{5} +(0.00940185 + 2.44947i) q^{6} +(-1.18449 - 2.36579i) q^{7} +(2.61647 + 1.07429i) q^{8} +(0.760185 - 2.90209i) q^{9} +(-0.427322 - 0.555708i) q^{10} +(-0.388770 - 1.45091i) q^{11} +(-2.75850 - 2.09540i) q^{12} +(0.486926 + 0.486926i) q^{13} +(3.67483 + 0.703993i) q^{14} +(0.330780 + 0.792280i) q^{15} +(-3.45581 + 2.01429i) q^{16} +(1.59268 - 2.75860i) q^{17} +(2.60506 + 3.34868i) q^{18} +(0.722159 - 2.69513i) q^{19} +(0.991377 - 0.00204771i) q^{20} +(-4.12775 - 1.99039i) q^{21} +(1.96342 + 0.810899i) q^{22} +(-2.26818 - 3.92860i) q^{23} +(4.72448 - 1.29586i) q^{24} +(4.11734 + 2.37715i) q^{25} +(-0.965390 + 0.128110i) q^{26} +(-2.02882 - 4.78371i) q^{27} +(-3.94996 + 3.52106i) q^{28} +(1.56573 + 1.56573i) q^{29} +(-1.17401 - 0.309751i) q^{30} +(-0.851744 - 0.491755i) q^{31} +(0.709397 - 5.61220i) q^{32} +(-2.06850 - 1.57802i) q^{33} +(1.72820 + 4.16009i) q^{34} +(1.28470 - 0.263618i) q^{35} +(-5.99982 + 0.0460591i) q^{36} +(-0.395551 + 1.47622i) q^{37} +(2.40537 + 3.12805i) q^{38} +(1.18295 + 0.152363i) q^{39} +(-0.850046 + 1.11494i) q^{40} -2.87800i q^{41} +(5.78381 - 2.92363i) q^{42} +(5.20338 + 5.20338i) q^{43} +(-2.59859 + 1.50746i) q^{44} +(1.29199 + 0.736296i) q^{45} +(6.36135 + 0.830805i) q^{46} +(6.34245 + 10.9854i) q^{47} +(-2.60685 + 6.41906i) q^{48} +(-4.19395 + 5.60453i) q^{49} +(-6.20912 + 2.57942i) q^{50} +(-0.735483 - 5.46796i) q^{51} +(0.686153 - 1.19414i) q^{52} +(0.451615 + 1.68545i) q^{53} +(7.11573 + 1.83477i) q^{54} +0.744571 q^{55} +(-0.557639 - 7.46251i) q^{56} +(-1.86194 - 4.45970i) q^{57} +(-3.10424 + 0.411943i) q^{58} +(12.7832 - 3.42524i) q^{59} +(1.35717 - 1.05194i) q^{60} +(-3.12260 + 11.6537i) q^{61} +(1.28447 - 0.533599i) q^{62} +(-7.76617 + 1.63906i) q^{63} +(5.69180 + 5.62169i) q^{64} +(-0.295610 + 0.170670i) q^{65} +(3.55031 - 0.965922i) q^{66} +(-3.29710 - 12.3049i) q^{67} +(-6.15703 - 1.63615i) q^{68} +(-7.26751 - 2.98644i) q^{69} +(-0.808530 + 1.66919i) q^{70} -11.3218 q^{71} +(5.10669 - 6.77656i) q^{72} +(-5.65102 + 9.78785i) q^{73} +(-1.31750 - 1.71334i) q^{74} +(8.16118 - 1.09774i) q^{75} +(-5.58040 + 0.0115264i) q^{76} +(-2.97205 + 2.63834i) q^{77} +(-1.18813 + 1.19729i) q^{78} +(-3.58163 - 6.20356i) q^{79} +(-0.521083 - 1.91306i) q^{80} +(-7.84424 - 4.41225i) q^{81} +(3.23159 + 2.47439i) q^{82} +(-4.94774 + 4.94774i) q^{83} +(-1.68986 + 9.00802i) q^{84} +(1.11649 + 1.11649i) q^{85} +(-10.3163 + 1.36901i) q^{86} +(3.80381 + 0.489929i) q^{87} +(0.541495 - 4.21391i) q^{88} +(-9.31634 + 5.37879i) q^{89} +(-1.93756 + 0.817686i) q^{90} +(0.575206 - 1.72873i) q^{91} +(-6.40211 + 6.42861i) q^{92} +(-1.68828 + 0.227087i) q^{93} +(-17.7881 - 2.32316i) q^{94} +(1.19778 + 0.691538i) q^{95} +(-4.96645 - 8.44597i) q^{96} +4.48178i q^{97} +(-2.68731 - 9.52777i) q^{98} +(-4.50620 + 0.0252849i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) $ 240 * q - 6 * q^3 - 4 * q^4	$ 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) $ 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.859759	+	1.12286i	−0.607942	+	0.793982i
$2$	−0.859759	+	1.12286i	−0.607942	+	0.793982i
$3$	1.37116	−	1.05826i	0.791642	−	0.610985i
$3$	1.37116	−	1.05826i	0.791642	−	0.610985i
$4$	−0.521627	−	1.93078i	−0.260814	−	0.965389i
$5$	−0.128294	+	0.478799i	−0.0573748	+	0.214126i	−0.988661	−	0.150162i	$-0.952021\pi$
$5$	−0.128294	+	0.478799i	−0.0573748	+	0.214126i	0.931287	+	0.364287i	$0.118687\pi$
$6$	0.00940185	+	2.44947i	0.00383829	+	0.999993i
$7$	−1.18449	−	2.36579i	−0.447696	−	0.894186i
$7$	−1.18449	−	2.36579i	−0.447696	−	0.894186i
$8$	2.61647	+	1.07429i	0.925061	+	0.379819i
$9$	0.760185	−	2.90209i	0.253395	−	0.967363i
$10$	−0.427322	−	0.555708i	−0.135131	−	0.175730i
$11$	−0.388770	−	1.45091i	−0.117219	−	0.437465i	0.882225	−	0.470828i	$-0.156045\pi$
$11$	−0.388770	−	1.45091i	−0.117219	−	0.437465i	−0.999443	+	0.0333630i	$0.989378\pi$
$12$	−2.75850	−	2.09540i	−0.796309	−	0.604890i
$13$	0.486926	+	0.486926i	0.135049	+	0.135049i	0.771400	−	0.636351i	$-0.219557\pi$
$13$	0.486926	+	0.486926i	0.135049	+	0.135049i	−0.636351	+	0.771400i	$0.719557\pi$
$14$	3.67483	+	0.703993i	0.982140	+	0.188150i
$15$	0.330780	+	0.792280i	0.0854072	+	0.204566i
$16$	−3.45581	+	2.01429i	−0.863953	+	0.503573i
$17$	1.59268	−	2.75860i	0.386282	−	0.669059i	−0.605665	−	0.795720i	$-0.707093\pi$
$17$	1.59268	−	2.75860i	0.386282	−	0.669059i	0.991946	+	0.126661i	$0.0404260\pi$
$18$	2.60506	+	3.34868i	0.614019	+	0.789291i
$19$	0.722159	−	2.69513i	0.165675	−	0.618306i	−0.832279	−	0.554358i	$-0.812964\pi$
$19$	0.722159	−	2.69513i	0.165675	−	0.618306i	0.997953	−	0.0639485i	$-0.0203693\pi$
$20$	0.991377	−	0.00204771i	0.221679	−	0.000457881i
$21$	−4.12775	−	1.99039i	−0.900749	−	0.434339i
$22$	1.96342	+	0.810899i	0.418602	+	0.172884i
$23$	−2.26818	−	3.92860i	−0.472948	−	0.819169i	0.526573	−	0.850130i	$-0.323477\pi$
$23$	−2.26818	−	3.92860i	−0.472948	−	0.819169i	−0.999521	+	0.0309606i	$0.990143\pi$
$24$	4.72448	−	1.29586i	0.964381	−	0.264517i
$25$	4.11734	+	2.37715i	0.823468	+	0.475429i
$26$	−0.965390	+	0.128110i	−0.189329	+	0.0251245i
$27$	−2.02882	−	4.78371i	−0.390446	−	0.920626i
$28$	−3.94996	+	3.52106i	−0.746472	+	0.665417i
$29$	1.56573	+	1.56573i	0.290748	+	0.290748i	0.837376	−	0.546627i	$-0.184089\pi$
$29$	1.56573	+	1.56573i	0.290748	+	0.290748i	−0.546627	+	0.837376i	$0.684089\pi$
$30$	−1.17401	−	0.309751i	−0.214344	−	0.0565525i
$31$	−0.851744	−	0.491755i	−0.152978	−	0.0883218i	0.421557	−	0.906802i	$-0.361484\pi$
$31$	−0.851744	−	0.491755i	−0.152978	−	0.0883218i	−0.574535	+	0.818480i	$0.694817\pi$
$32$	0.709397	−	5.61220i	0.125405	−	0.992106i
$33$	−2.06850	−	1.57802i	−0.360080	−	0.274697i
$34$	1.72820	+	4.16009i	0.296384	+	0.713450i
$35$	1.28470	−	0.263618i	0.217154	−	0.0445596i
$36$	−5.99982	+	0.0460591i	−0.999971	+	0.00767652i
$37$	−0.395551	+	1.47622i	−0.0650282	+	0.242688i	−0.990788	−	0.135424i	$-0.956760\pi$
$37$	−0.395551	+	1.47622i	−0.0650282	+	0.242688i	0.925760	+	0.378113i	$0.123427\pi$
$38$	2.40537	+	3.12805i	0.390203	+	0.507437i
$39$	1.18295	+	0.152363i	0.189424	+	0.0243976i
$40$	−0.850046	+	1.11494i	−0.134404	+	0.176287i
$41$		−	2.87800i		−	0.449468i	−0.974420	−	0.224734i	$-0.927849\pi$
$41$		−	2.87800i		−	0.449468i	0.974420	−	0.224734i	$-0.0721514\pi$
$42$	5.78381	−	2.92363i	0.892461	−	0.451125i
$43$	5.20338	+	5.20338i	0.793507	+	0.793507i	0.982063	−	0.188555i	$-0.0603805\pi$
$43$	5.20338	+	5.20338i	0.793507	+	0.793507i	−0.188555	+	0.982063i	$0.560380\pi$
$44$	−2.59859	+	1.50746i	−0.391752	+	0.227258i
$45$	1.29199	+	0.736296i	0.192599	+	0.109761i
$46$	6.36135	+	0.830805i	0.937930	+	0.122496i
$47$	6.34245	+	10.9854i	0.925141	+	1.60239i	0.791334	+	0.611384i	$0.209387\pi$
$47$	6.34245	+	10.9854i	0.925141	+	1.60239i	0.133807	+	0.991007i	$0.457280\pi$
$48$	−2.60685	+	6.41906i	−0.376266	+	0.926512i
$49$	−4.19395	+	5.60453i	−0.599136	+	0.800647i
$50$	−6.20912	+	2.57942i	−0.878102	+	0.364785i
$51$	−0.735483	−	5.46796i	−0.102988	−	0.765668i
$52$	0.686153	−	1.19414i	0.0951523	−	0.165598i
$53$	0.451615	+	1.68545i	0.0620341	+	0.231514i	0.989982	−	0.141197i	$-0.0450950\pi$
$53$	0.451615	+	1.68545i	0.0620341	+	0.231514i	−0.927947	+	0.372711i	$0.878428\pi$
$54$	7.11573	+	1.83477i	0.968328	+	0.249680i
$55$	0.744571			0.100398
$56$	−0.557639	−	7.46251i	−0.0745176	−	0.997220i
$57$	−1.86194	−	4.45970i	−0.246621	−	0.590702i
$58$	−3.10424	+	0.411943i	−0.407607	+	0.0540908i
$59$	12.7832	−	3.42524i	1.66423	−	0.445928i	0.700682	−	0.713474i	$-0.252879\pi$
$59$	12.7832	−	3.42524i	1.66423	−	0.445928i	0.963545	+	0.267545i	$0.0862126\pi$
$60$	1.35717	−	1.05194i	0.175210	−	0.135805i
$61$	−3.12260	+	11.6537i	−0.399808	+	1.49210i	0.413626	+	0.910447i	$0.364262\pi$
$61$	−3.12260	+	11.6537i	−0.399808	+	1.49210i	−0.813434	+	0.581657i	$0.802405\pi$
$62$	1.28447	−	0.533599i	0.163127	−	0.0677671i
$63$	−7.76617	+	1.63906i	−0.978446	+	0.206503i
$64$	5.69180	+	5.62169i	0.711475	+	0.702712i
$65$	−0.295610	+	0.170670i	−0.0366659	+	0.0211691i
$66$	3.55031	−	0.965922i	0.437012	−	0.118897i
$67$	−3.29710	−	12.3049i	−0.402804	−	1.50329i	−0.808069	−	0.589087i	$-0.799487\pi$
$67$	−3.29710	−	12.3049i	−0.402804	−	1.50329i	0.405265	−	0.914199i	$-0.367179\pi$
$68$	−6.15703	−	1.63615i	−0.746650	−	0.198412i
$69$	−7.26751	−	2.98644i	−0.874905	−	0.359525i
$70$	−0.808530	+	1.66919i	−0.0966378	+	0.199506i
$71$	−11.3218			−1.34365			−0.671827	−	0.740708i	$-0.734490\pi$
$71$	−11.3218			−1.34365			−0.671827	+	0.740708i	$0.734490\pi$
$72$	5.10669	−	6.77656i	0.601829	−	0.798625i
$73$	−5.65102	+	9.78785i	−0.661402	+	1.14558i	0.318846	+	0.947807i	$0.396705\pi$
$73$	−5.65102	+	9.78785i	−0.661402	+	1.14558i	−0.980247	+	0.197775i	$0.936629\pi$
$74$	−1.31750	−	1.71334i	−0.153157	−	0.199172i
$75$	8.16118	−	1.09774i	0.942372	−	0.126756i
$76$	−5.58040	+	0.0115264i	−0.640116	+	0.00132217i
$77$	−2.97205	+	2.63834i	−0.338697	+	0.300667i
$78$	−1.18813	+	1.19729i	−0.134530	+	0.135566i
$79$	−3.58163	−	6.20356i	−0.402965	−	0.697955i	0.591118	−	0.806585i	$-0.298687\pi$
$79$	−3.58163	−	6.20356i	−0.402965	−	0.697955i	−0.994082	+	0.108630i	$0.965354\pi$
$80$	−0.521083	−	1.91306i	−0.0582588	−	0.213887i
$81$	−7.84424	−	4.41225i	−0.871582	−	0.490250i
$82$	3.23159	+	2.47439i	0.356870	+	0.273251i
$83$	−4.94774	+	4.94774i	−0.543085	+	0.543085i	−0.924432	−	0.381347i	$-0.875460\pi$
$83$	−4.94774	+	4.94774i	−0.543085	+	0.543085i	0.381347	+	0.924432i	$0.375460\pi$
$84$	−1.68986	+	9.00802i	−0.184379	+	0.982855i
$85$	1.11649	+	1.11649i	0.121100	+	0.121100i
$86$	−10.3163	+	1.36901i	−1.11244	+	0.147624i
$87$	3.80381	+	0.489929i	0.407812	+	0.0525259i
$88$	0.541495	−	4.21391i	0.0577235	−	0.449204i
$89$	−9.31634	+	5.37879i	−0.987530	+	0.570151i	−0.904535	−	0.426399i	$-0.859782\pi$
$89$	−9.31634	+	5.37879i	−0.987530	+	0.570151i	−0.0829951	+	0.996550i	$0.526449\pi$
$90$	−1.93756	+	0.817686i	−0.204237	+	0.0861917i
$91$	0.575206	−	1.72873i	0.0602980	−	0.181220i
$92$	−6.40211	+	6.42861i	−0.667466	+	0.670229i
$93$	−1.68828	+	0.227087i	−0.175067	+	0.0235479i
$94$	−17.7881	−	2.32316i	−1.83470	−	0.239616i
$95$	1.19778	+	0.691538i	0.122890	+	0.0709503i
$96$	−4.96645	−	8.44597i	−0.506886	−	0.862013i
$97$			4.48178i			0.455056i	0.973772	+	0.227528i	$0.0730643\pi$
$97$			4.48178i			0.455056i	−0.973772	+	0.227528i	$0.926936\pi$
$98$	−2.68731	−	9.52777i	−0.271460	−	0.962450i
$99$	−4.50620	+	0.0252849i	−0.452890	+	0.00254123i
$100$	2.44203	−	9.18965i	0.244203	−	0.918965i
$101$	0.355340	−	0.0952131i	0.0353577	−	0.00947406i	−0.241097	−	0.970501i	$-0.577507\pi$
$101$	0.355340	−	0.0952131i	0.0353577	−	0.00947406i	0.276455	+	0.961027i	$0.410840\pi$
$102$	6.77209	+	3.87529i	0.670537	+	0.383711i
$103$	−3.07387	−	5.32410i	−0.302877	−	0.524599i	0.673909	−	0.738814i	$-0.264614\pi$
$103$	−3.07387	−	5.32410i	−0.302877	−	0.524599i	−0.976786	+	0.214215i	$0.931281\pi$
$104$	0.750926	+	1.79713i	0.0736344	+	0.176223i
$105$	1.48256	−	1.72101i	0.144683	−	0.167953i
$106$	−2.28080	−	0.941981i	−0.221531	−	0.0914933i
$107$	17.7921	+	4.76737i	1.72002	+	0.460879i	0.977846	−	0.209325i	$-0.0671267\pi$
$107$	17.7921	+	4.76737i	1.72002	+	0.460879i	0.742177	+	0.670204i	$0.233793\pi$
$108$	−8.17800	+	6.41251i	−0.786929	+	0.617044i
$109$	1.53813	+	5.74038i	0.147326	+	0.549828i	0.999641	+	0.0267992i	$0.00853147\pi$
$109$	1.53813	+	5.74038i	0.147326	+	0.549828i	−0.852315	+	0.523029i	$0.824802\pi$
$110$	−0.640152	+	0.836048i	−0.0610361	+	0.0797141i
$111$	1.01985	+	2.44273i	0.0967999	+	0.231854i
$112$	8.85878	+	5.78981i	0.837076	+	0.547086i
$113$		−	8.26517i		−	0.777521i	−0.921339	−	0.388761i	$-0.872903\pi$
$113$		−	8.26517i		−	0.777521i	0.921339	−	0.388761i	$-0.127097\pi$
$114$	6.60844	+	1.74357i	0.618937	+	0.163300i
$115$	2.17200	−	0.581986i	0.202540	−	0.0542705i
$116$	2.20635	−	3.83980i	0.204854	−	0.356517i
$117$	1.78326	−	1.04295i	0.164862	−	0.0964207i
$118$	−7.14439	+	17.2986i	−0.657694	+	1.59246i
$119$	−8.41280	−	0.500404i	−0.771200	−	0.0458719i
$120$	0.0143366	+	2.42833i	0.00130874	+	0.221675i
$121$	7.57228	−	4.37186i	0.688390	−	0.397442i
$122$	−10.4008	−	13.5256i	−0.941643	−	1.22455i
$123$	−3.04567	−	3.94622i	−0.274618	−	0.355818i
$124$	−0.505177	+	1.90104i	−0.0453662	+	0.170719i
$125$	−3.41893	+	3.41893i	−0.305799	+	0.305799i
$126$	4.83660	−	10.1295i	0.430879	−	0.902410i
$127$	13.5133			1.19911			0.599557	−	0.800332i	$-0.295343\pi$
$127$	13.5133			1.19911			0.599557	+	0.800332i	$0.295343\pi$
$128$	−11.2059	+	1.55779i	−0.990475	+	0.137690i
$129$	12.6412	+	1.62818i	1.11299	+	0.143353i
$130$	0.0625144	−	0.478664i	0.00548288	−	0.0419816i
$131$	11.8733	+	3.18143i	1.03737	+	0.277963i	0.737024	−	0.675867i	$-0.236231\pi$
$131$	11.8733	+	3.18143i	1.03737	+	0.277963i	0.300348	+	0.953830i	$0.402897\pi$
$132$	−1.96781	+	4.81695i	−0.171276	+	0.419262i
$133$	−7.23152	+	1.48389i	−0.627052	+	0.128670i
$134$	16.6514	+	6.87710i	1.43846	+	0.594091i
$135$	2.55072	−	0.357674i	0.219531	−	0.0307837i
$136$	7.13073	−	5.50679i	0.611455	−	0.472203i
$137$	−5.89498	+	10.2104i	−0.503642	+	0.872334i	0.496349	+	0.868123i	$0.334674\pi$
$137$	−5.89498	+	10.2104i	−0.503642	+	0.872334i	−0.999991	+	0.00421094i	$0.998660\pi$
$138$	9.60166	−	5.59277i	0.817348	−	0.476088i
$139$	−2.58545	+	2.58545i	−0.219295	+	0.219295i	−0.808201	−	0.588906i	$-0.799559\pi$
$139$	−2.58545	+	2.58545i	−0.219295	+	0.219295i	0.588906	+	0.808201i	$0.299559\pi$
$140$	−1.17912	−	2.34297i	−0.0996541	−	0.198017i
$141$	20.3220	+	8.35091i	1.71142	+	0.703274i
$142$	9.73406	−	12.7128i	0.816864	−	1.06684i
$143$	0.517184	−	0.895788i	0.0432491	−	0.0749096i
$144$	3.21860	+	11.5603i	0.268217	+	0.963359i
$145$	−0.950543	+	0.548796i	−0.0789383	+	0.0455750i
$146$	−6.13187	−	14.7605i	−0.507477	−	1.22159i
$147$	0.180437	+	12.1230i	0.0148822	+	0.999889i
$148$	3.05658	−	0.00631342i	0.251249	−	0.000518960i
$149$	17.5190	+	4.69419i	1.43521	+	0.384563i	0.890853	−	0.454291i	$-0.150107\pi$
$149$	17.5190	+	4.69419i	1.43521	+	0.384563i	0.544356	+	0.838854i	$0.316774\pi$
$150$	−5.78404	+	10.1077i	−0.472265	+	0.825286i
$151$	−11.0224	−	6.36377i	−0.896987	−	0.517876i	−0.0207658	−	0.999784i	$-0.506610\pi$
$151$	−11.0224	−	6.36377i	−0.896987	−	0.517876i	−0.876222	+	0.481908i	$0.839944\pi$
$152$	4.78486	−	6.27592i	0.388104	−	0.509044i
$153$	−6.79498	−	6.71915i	−0.549341	−	0.543211i
$154$	−0.407235	−	5.60554i	−0.0328159	−	0.451707i
$155$	0.344725	−	0.344725i	0.0276890	−	0.0276890i
$156$	−0.322879	−	2.36349i	−0.0258510	−	0.189231i
$157$	−12.3396	+	3.30638i	−0.984805	+	0.263878i	−0.715067	−	0.699056i	$-0.753604\pi$
$157$	−12.3396	+	3.30638i	−0.984805	+	0.263878i	−0.269738	+	0.962934i	$0.586937\pi$
$158$	10.0451	+	1.31191i	0.799142	+	0.104370i
$159$	2.40288	+	1.83310i	0.190561	+	0.145375i
$160$	2.59610	+	1.05967i	0.205240	+	0.0837742i
$161$	−6.60761	+	10.0194i	−0.520752	+	0.789642i
$162$	11.6985	−	5.01450i	0.919121	−	0.393976i
$163$	9.91268	+	2.65609i	0.776421	+	0.208041i	0.625206	−	0.780460i	$-0.285015\pi$
$163$	9.91268	+	2.65609i	0.776421	+	0.208041i	0.151215	+	0.988501i	$0.451682\pi$
$164$	−5.55678	+	1.50124i	−0.433912	+	0.117227i
$165$	1.02093	−	0.787947i	0.0794792	−	0.0613416i
$166$	−1.30175	−	9.80948i	−0.101035	−	0.761363i
$167$			11.7120i			0.906298i	0.891435	+	0.453149i	$0.149700\pi$
$167$			11.7120i			0.906298i	−0.891435	+	0.453149i	$0.850300\pi$
$168$	−8.66186	−	9.64220i	−0.668277	−	0.743912i
$169$		−	12.5258i		−	0.963523i
$170$	−2.21357	+	0.293747i	−0.169773	+	0.0225294i
$171$	−7.27254	−	4.14457i	−0.556145	−	0.316943i
$172$	7.33234	−	12.7608i	0.559086	−	0.973001i
$173$	25.0053	+	6.70016i	1.90112	+	0.509404i	0.996541	+	0.0830993i	$0.0264819\pi$
$173$	25.0053	+	6.70016i	1.90112	+	0.509404i	0.904580	+	0.426304i	$0.140185\pi$
$174$	−3.82049	+	3.84993i	−0.289630	+	0.291862i
$175$	0.746875	−	12.5565i	0.0564584	−	0.949181i
$176$	4.26607	+	4.23097i	0.321567	+	0.318921i
$177$	13.9030	−	18.2244i	1.04502	−	1.36983i
$178$	1.97018	−	15.0854i	0.147672	−	1.13070i
$179$	−5.89102	+	1.57850i	−0.440316	+	0.117982i	−0.472165	−	0.881510i	$-0.656527\pi$
$179$	−5.89102	+	1.57850i	−0.440316	+	0.117982i	0.0318487	+	0.999493i	$0.489861\pi$
$180$	0.747687	−	2.87862i	0.0557293	−	0.214560i
$181$	4.18491	−	4.18491i	0.311062	−	0.311062i	−0.534259	−	0.845321i	$-0.679409\pi$
$181$	4.18491	−	4.18491i	0.311062	−	0.311062i	0.845321	+	0.534259i	$0.179409\pi$
$182$	1.44658	+	2.13217i	0.107228	+	0.158047i
$183$	8.05101	+	19.2837i	0.595148	+	1.42549i
$184$	−1.71415	−	12.7157i	−0.126369	−	0.937416i
$185$	−0.656064	−	0.378779i	−0.0482348	−	0.0278484i
$186$	1.19653	−	2.09095i	0.0877340	−	0.153316i
$187$	−4.62167	−	1.23837i	−0.337970	−	0.0905587i
$188$	17.9021	−	17.9762i	1.30564	−	1.31105i
$189$	−8.91415	+	10.4660i	−0.648409	+	0.761292i
$190$	−1.80630	+	0.750381i	−0.131043	+	0.0544384i
$191$	−11.4487	+	6.60991i	−0.828399	+	0.478276i	−0.853304	−	0.521414i	$-0.825405\pi$
$191$	−11.4487	+	6.60991i	−0.828399	+	0.478276i	0.0249054	+	0.999690i	$0.492072\pi$
$192$	13.7536	+	1.68488i	0.992580	+	0.121596i
$193$	9.96849	−	17.2659i	0.717548	−	1.24283i	−0.244421	−	0.969669i	$-0.578598\pi$
$193$	9.96849	−	17.2659i	0.717548	−	1.24283i	0.961969	−	0.273160i	$-0.0880689\pi$
$194$	−5.03241	−	3.85326i	−0.361306	−	0.276648i
$195$	−0.224717	+	0.546848i	−0.0160923	+	0.0391606i
$196$	13.0088	+	5.17411i	0.929199	+	0.369579i
$197$	8.37075	−	8.37075i	0.596391	−	0.596391i	−0.342959	−	0.939350i	$-0.611429\pi$
$197$	8.37075	−	8.37075i	0.596391	−	0.596391i	0.939350	+	0.342959i	$0.111429\pi$
$198$	3.84586	−	5.08157i	0.273313	−	0.361132i
$199$	8.18748	−	14.1811i	0.580395	−	1.00527i	−0.415038	−	0.909804i	$-0.636232\pi$
$199$	8.18748	−	14.1811i	0.580395	−	1.00527i	0.995432	−	0.0954689i	$-0.0304351\pi$
$200$	8.21913	+	10.6429i	0.581180	+	0.752570i
$201$	−17.5426	−	13.3829i	−1.23736	−	0.943958i
$202$	−0.198596	+	0.480858i	−0.0139732	+	0.0338330i
$203$	1.84959	−	5.55878i	0.129816	−	0.390150i
$204$	−10.1738	+	4.27229i	−0.712307	+	0.299120i
$205$	1.37799	+	0.369230i	0.0962427	+	0.0257881i
$206$	8.62100	+	1.12592i	0.600654	+	0.0784466i
$207$	−13.1254	+	3.59599i	−0.912277	+	0.249938i
$208$	−2.66354	−	0.701913i	−0.184683	−	0.0486689i
$209$	−4.19115			−0.289908
$210$	0.657803	+	3.14437i	0.0453927	+	0.216982i
$211$	−8.45390	+	8.45390i	−0.581990	+	0.581990i	−0.935450	−	0.353460i	$-0.885005\pi$
$211$	−8.45390	+	8.45390i	−0.581990	+	0.581990i	0.353460	+	0.935450i	$0.385005\pi$
$212$	3.01866	−	1.75114i	0.207322	−	0.120269i
$213$	−15.5241	+	11.9814i	−1.06369	+	0.820953i
$214$	−20.6500	+	15.8792i	−1.41160	+	1.08548i
$215$	−3.15893	+	1.82381i	−0.215437	+	0.124383i
$216$	−0.169230	−	14.6960i	−0.0115146	−	0.999934i
$217$	−0.154504	+	2.59753i	−0.0104884	+	0.176332i
$218$	−7.76806	−	3.20824i	−0.526119	−	0.217289i
$219$	2.60958	+	19.4010i	0.176339	+	1.31100i
$220$	−0.388388	−	1.43760i	−0.0261851	−	0.0969231i
$221$	2.11875	−	0.567719i	0.142523	−	0.0381889i
$222$	−3.61967	−	0.955012i	−0.242936	−	0.0640962i
$223$			17.2064i			1.15222i	0.817371	+	0.576112i	$0.195431\pi$
$223$			17.2064i			1.15222i	−0.817371	+	0.576112i	$0.804569\pi$
$224$	−14.1176	+	4.96932i	−0.943270	+	0.332027i
$225$	10.0286	−	10.1418i	0.668575	−	0.676120i
$226$	9.28062	+	7.10605i	0.617338	+	0.472688i
$227$	4.72407	+	17.6305i	0.313547	+	1.17018i	0.925334	+	0.379152i	$0.123784\pi$
$227$	4.72407	+	17.6305i	0.313547	+	1.17018i	−0.611787	+	0.791023i	$0.709549\pi$
$228$	−7.63945	+	5.92130i	−0.505935	+	0.392148i
$229$	6.38196	+	1.71004i	0.421732	+	0.113003i	0.463442	−	0.886127i	$-0.346614\pi$
$229$	6.38196	+	1.71004i	0.421732	+	0.113003i	−0.0417108	+	0.999130i	$0.513281\pi$
$230$	−1.21391	+	2.93922i	−0.0800429	+	0.193807i
$231$	−1.28313	+	6.76280i	−0.0844240	+	0.444959i
$232$	2.41463	+	5.77872i	0.158528	+	0.379392i
$233$	−1.23993	−	2.14762i	−0.0812304	−	0.140695i	0.822548	−	0.568695i	$-0.192552\pi$
$233$	−1.23993	−	2.14762i	−0.0812304	−	0.140695i	−0.903779	+	0.428000i	$0.859218\pi$
$234$	−0.362087	+	2.89903i	−0.0236704	+	0.189516i
$235$	−6.07352	+	1.62739i	−0.396193	+	0.106159i
$236$	−13.2814	−	22.8948i	−0.864547	−	1.49032i
$237$	−11.4760	−	4.71582i	−0.745444	−	0.306326i
$238$	7.79487	−	9.01617i	0.505266	−	0.584431i
$239$		−	19.9191i		−	1.28846i	−0.764833	−	0.644229i	$-0.777179\pi$
$239$		−	19.9191i		−	1.28846i	0.764833	−	0.644229i	$-0.222821\pi$
$240$	−2.73900	−	2.07168i	−0.176802	−	0.133726i
$241$	−7.32694	−	4.23021i	−0.471970	−	0.272492i	0.245094	−	0.969499i	$-0.421181\pi$
$241$	−7.32694	−	4.23021i	−0.471970	−	0.272492i	−0.717064	+	0.697007i	$0.754514\pi$
$242$	−1.60136	+	12.2614i	−0.102939	+	0.788190i
$243$	−15.4250	+	2.25129i	−0.989516	+	0.144421i
$244$	24.1296	−	0.0498400i	1.54474	−	0.00319068i
$245$	−2.14539	−	2.72709i	−0.137064	−	0.174227i
$246$	7.04958	−	0.0270585i	0.449465	−	0.00172519i
$247$	1.66397	−	0.960694i	0.105876	−	0.0611275i
$248$	−1.70027	−	2.20168i	−0.107967	−	0.139807i
$249$	−1.54819	+	12.0201i	−0.0981124	+	0.761746i
$250$	−0.899521	−	6.77844i	−0.0568907	−	0.428706i
$251$	−11.5508	−	11.5508i	−0.729078	−	0.729078i	0.241358	−	0.970436i	$-0.422407\pi$
$251$	−11.5508	−	11.5508i	−0.729078	−	0.729078i	−0.970436	+	0.241358i	$0.922407\pi$
$252$	7.21572	+	14.1398i	0.454548	+	0.890722i
$253$	−4.81824	+	4.81824i	−0.302920	+	0.302920i
$254$	−11.6182	+	15.1736i	−0.728992	+	0.952075i
$255$	2.71241	+	0.349357i	0.169858	+	0.0218776i
$256$	7.88525	−	13.9220i	0.492828	−	0.870127i
$257$	8.29276	+	14.3635i	0.517288	+	0.895970i	0.999798	+	0.0200792i	$0.00639184\pi$
$257$	8.29276	+	14.3635i	0.517288	+	0.895970i	−0.482510	+	0.875890i	$0.660275\pi$
$258$	−12.6966	+	12.7944i	−0.790456	+	0.796547i
$259$	3.96095	−	0.812777i	0.246121	−	0.0505035i
$260$	0.483725	+	0.481731i	0.0299993	+	0.0298757i
$261$	5.73413	−	3.35364i	0.354933	−	0.207585i
$262$	−13.7804	+	10.5967i	−0.851359	+	0.654668i
$263$	8.90599	−	15.4256i	0.549167	−	0.951185i	−0.449165	−	0.893449i	$-0.648278\pi$
$263$	8.90599	−	15.4256i	0.549167	−	0.951185i	0.998332	−	0.0577361i	$-0.0183882\pi$
$264$	−3.71692	−	6.35100i	−0.228760	−	0.390877i
$265$	−0.864932			−0.0531323
$266$	4.55117	−	9.39577i	0.279050	−	0.576092i
$267$	−7.08210	+	17.2343i	−0.433417	+	1.05472i
$268$	−22.0382	+	12.7845i	−1.34620	+	0.780941i
$269$	−5.16292	−	19.2683i	−0.314789	−	1.17481i	−0.924186	−	0.381943i	$-0.875255\pi$
$269$	−5.16292	−	19.2683i	−0.314789	−	1.17481i	0.609397	−	0.792865i	$-0.291412\pi$
$270$	−1.79139	+	3.17162i	−0.109021	+	0.193018i
$271$	−22.5220	+	13.0031i	−1.36811	+	0.789879i	−0.990687	−	0.136161i	$-0.956524\pi$
$271$	−22.5220	+	13.0031i	−1.36811	+	0.789879i	−0.377425	+	0.926040i	$0.623190\pi$
$272$	0.0526351	+	12.7413i	0.00319147	+	0.772557i
$273$	−1.04074	−	2.97909i	−0.0629882	−	0.180303i
$274$	−6.39659	−	15.3977i	−0.386432	−	0.930211i
$275$	1.84833	−	6.89804i	0.111458	−	0.415968i
$276$	−1.97522	+	15.5898i	−0.118895	+	0.938393i
$277$	29.8171	−	7.98946i	1.79153	−	0.480040i	0.798929	−	0.601426i	$-0.205400\pi$
$277$	29.8171	−	7.98946i	1.79153	−	0.480040i	0.992605	+	0.121386i	$0.0387338\pi$
$278$	−0.680233	−	5.12597i	−0.0407977	−	0.307435i
$279$	−2.07460	+	2.09801i	−0.124203	+	0.125605i
$280$	3.64459	+	0.690397i	0.217806	+	0.0412591i
$281$	−9.67354			−0.577075			−0.288537	−	0.957469i	$-0.593169\pi$
$281$	−9.67354			−0.577075			−0.288537	+	0.957469i	$0.593169\pi$
$282$	−26.8489	+	15.6389i	−1.59883	+	0.931285i
$283$	−6.85354	−	25.5777i	−0.407400	−	1.52044i	−0.799585	−	0.600553i	$-0.794947\pi$
$283$	−6.85354	−	25.5777i	−0.407400	−	1.52044i	0.392185	−	0.919886i	$-0.371719\pi$
$284$	5.90578	+	21.8600i	0.350443	+	1.29715i
$285$	2.37418	−	0.319345i	0.140634	−	0.0189164i
$286$	0.561191	+	1.35089i	0.0331839	+	0.0798796i
$287$	−6.80876	+	3.40897i	−0.401908	+	0.201225i
$288$	−15.7478	−	6.32504i	−0.927949	−	0.372707i
$289$	3.42674	+	5.93529i	0.201573	+	0.349135i
$290$	0.201017	−	1.53916i	0.0118041	−	0.0903825i
$291$	4.74288	+	6.14526i	0.278032	+	0.360242i
$292$	21.8459	+	5.80525i	1.27843	+	0.339727i
$293$	4.86775	+	4.86775i	0.284377	+	0.284377i	0.834852	−	0.550475i	$-0.185553\pi$
$293$	4.86775	+	4.86775i	0.284377	+	0.284377i	−0.550475	+	0.834852i	$0.685553\pi$
$294$	−13.7676	−	10.2203i	−0.802941	−	0.596058i
$295$			6.56001i			0.381939i
$296$	−2.62083	+	3.43753i	−0.152333	+	0.199803i
$297$	−6.15199	+	4.80339i	−0.356975	+	0.278721i
$298$	−20.3330	+	15.6355i	−1.17786	+	0.905738i
$299$	0.808503	−	3.01737i	0.0467569	−	0.174499i
$300$	−6.37659	−	15.1848i	−0.368153	−	0.876696i
$301$	6.14674	−	18.4735i	0.354292	−	1.06479i
$302$	16.6222	−	6.90526i	0.956500	−	0.397353i
$303$	0.386470	−	0.506594i	0.0222021	−	0.0291031i
$304$	2.93315	+	10.7685i	0.168227	+	0.617616i
$305$	−5.17917	−	2.99020i	−0.296559	−	0.171218i
$306$	13.3867	−	1.85295i	0.765267	−	0.105926i
$307$	6.83909	+	6.83909i	0.390327	+	0.390327i	0.874804	−	0.484477i	$-0.160990\pi$
$307$	6.83909	+	6.83909i	0.390327	+	0.390327i	−0.484477	+	0.874804i	$0.660990\pi$
$308$	6.64436	+	4.36215i	0.378597	+	0.248556i
$309$	−9.84904	−	4.04727i	−0.560292	−	0.230241i
$310$	0.0906973	+	0.683459i	0.00515126	+	0.0388179i
$311$	−20.0828	−	11.5948i	−1.13879	−	0.657481i	−0.192660	−	0.981266i	$-0.561711\pi$
$311$	−20.0828	−	11.5948i	−1.13879	−	0.657481i	−0.946131	+	0.323785i	$0.895045\pi$
$312$	2.93147	+	1.66949i	0.165962	+	0.0945160i
$313$	0.557103	+	0.964930i	0.0314893	+	0.0545411i	0.881341	−	0.472482i	$-0.156642\pi$
$313$	0.557103	+	0.964930i	0.0314893	+	0.0545411i	−0.849851	+	0.527023i	$0.823308\pi$
$314$	6.89647	−	16.6983i	0.389190	−	0.942340i
$315$	0.211570	−	3.92872i	0.0119206	−	0.221358i
$316$	−10.1094	+	10.1513i	−0.568700	+	0.571054i
$317$	5.79442	−	21.6251i	0.325447	−	1.21458i	−0.588415	−	0.808559i	$-0.700248\pi$
$317$	5.79442	−	21.6251i	0.325447	−	1.21458i	0.913862	−	0.406025i	$-0.133085\pi$
$318$	−4.12422	+	1.12206i	−0.231275	+	0.0629222i
$319$	1.66302	−	2.88044i	0.0931113	−	0.161274i
$320$	−3.42188	+	2.00400i	−0.191289	+	0.112027i
$321$	29.4409	−	12.2917i	1.64323	−	0.686057i
$322$	−5.56947	−	16.0337i	−0.310374	−	0.893524i
$323$	−6.28463	−	6.28463i	−0.349686	−	0.349686i
$324$	−4.42731	+	17.4470i	−0.245962	+	0.969280i
$325$	0.847345	+	3.16234i	0.0470023	+	0.175415i
$326$	−11.5049	+	8.84694i	−0.637200	+	0.489987i
$327$	8.18382	+	6.24327i	0.452566	+	0.345253i
$328$	3.09181	−	7.53020i	0.170717	−	0.415786i
$329$	18.4767	−	28.0171i	1.01865	−	1.54463i
$330$	0.00700034	+	1.82381i	0.000385356	+	0.100397i
$331$	−6.93122	+	25.8676i	−0.380974	+	1.42181i	0.463442	+	0.886127i	$0.346614\pi$
$331$	−6.93122	+	25.8676i	−0.380974	+	1.42181i	−0.844416	+	0.535687i	$0.820053\pi$
$332$	12.1339	+	6.97211i	0.665932	+	0.382644i
$333$	3.98342	+	2.27012i	0.218290	+	0.124402i
$334$	−13.1509	−	10.0695i	−0.719584	−	0.550977i
$335$	6.31459			0.345003
$336$	18.2740	−	1.43608i	0.996926	−	0.0783447i
$337$	1.87049			0.101892			0.0509462	−	0.998701i	$-0.483776\pi$
$337$	1.87049			0.101892			0.0509462	+	0.998701i	$0.483776\pi$
$338$	14.0647	+	10.7692i	0.765020	+	0.585766i
$339$	−8.74667	−	11.3329i	−0.475054	−	0.615519i
$340$	1.57330	−	2.73808i	0.0853240	−	0.148493i
$341$	−0.382359	+	1.42698i	−0.0207059	+	0.0772755i
$342$	10.9064	−	4.60271i	0.589751	−	0.248886i
$343$	18.2269	+	3.28348i	0.984158	+	0.177292i
$344$	8.02452	+	19.2044i	0.432653	+	1.03543i
$345$	2.36228	−	3.09654i	0.127181	−	0.166712i
$346$	−29.0219	+	22.3170i	−1.56023	+	1.19977i
$347$	−1.11836	−	4.17378i	−0.0600368	−	0.224060i	0.929389	−	0.369103i	$-0.120335\pi$
$347$	−1.11836	−	4.17378i	−0.0600368	−	0.224060i	−0.989425	+	0.145042i	$0.953668\pi$
$348$	−1.03823	−	7.59988i	−0.0556549	−	0.407396i
$349$	−0.764040	−	0.764040i	−0.0408981	−	0.0408981i	0.686362	−	0.727260i	$-0.259207\pi$
$349$	−0.764040	−	0.764040i	−0.0408981	−	0.0408981i	−0.727260	+	0.686362i	$0.759207\pi$
$350$	13.4570	+	11.6342i	0.719309	+	0.621874i
$351$	1.34143	−	3.31720i	0.0716004	−	0.177059i
$352$	−8.41858	+	1.15258i	−0.448712	+	0.0614329i
$353$	−13.8774	+	24.0364i	−0.738620	+	1.27933i	0.214497	+	0.976725i	$0.431189\pi$
$353$	−13.8774	+	24.0364i	−0.738620	+	1.27933i	−0.953117	+	0.302602i	$0.902145\pi$
$354$	8.51022	+	31.2798i	0.452313	+	1.66250i
$355$	1.45252	−	5.42089i	0.0770919	−	0.287711i
$356$	15.2449	+	15.1821i	0.807979	+	0.804648i
$357$	−12.0649	+	8.21677i	−0.638542	+	0.434877i
$358$	3.29244	−	7.97192i	0.174011	−	0.421329i
$359$	−11.5863	−	20.0681i	−0.611504	−	1.05916i	−0.990987	−	0.133957i	$-0.957232\pi$
$359$	−11.5863	−	20.0681i	−0.611504	−	1.05916i	0.379484	−	0.925198i	$-0.376102\pi$
$360$	2.58945	+	3.31447i	0.136476	+	0.174688i
$361$	9.71225	+	5.60737i	0.511171	+	0.295125i
$362$	1.10105	+	8.29709i	0.0578699	+	0.436085i
$363$	5.75630	−	14.0080i	0.302127	−	0.735227i
$364$	−3.63783	−	0.208843i	−0.190674	−	0.0109464i
$365$	−3.96142	−	3.96142i	−0.207350	−	0.207350i
$366$	−28.5748	−	7.53915i	−1.49363	−	0.394078i
$367$	3.58369	+	2.06904i	0.187067	+	0.108003i	0.590609	−	0.806958i	$-0.298888\pi$
$367$	3.58369	+	2.06904i	0.187067	+	0.108003i	−0.403542	+	0.914961i	$0.632221\pi$
$368$	15.7517	+	9.00771i	0.821116	+	0.469560i
$369$	−8.35222	−	2.18782i	−0.434799	−	0.113893i
$370$	0.989373	−	0.411009i	0.0514351	−	0.0213674i
$371$	3.45249	−	3.06483i	0.179244	−	0.159118i
$372$	1.31911	+	3.14125i	0.0683927	+	0.162866i
$373$	−4.55576	+	17.0023i	−0.235888	+	0.880348i	0.741858	+	0.670557i	$0.233945\pi$
$373$	−4.55576	+	17.0023i	−0.235888	+	0.880348i	−0.977746	+	0.209791i	$0.932722\pi$
$374$	5.36404	−	4.12478i	0.277368	−	0.213287i
$375$	−1.06981	+	8.30603i	−0.0552448	+	0.428921i
$376$	4.79324	+	35.5567i	0.247193	+	1.83370i
$377$			1.52479i			0.0785306i
$378$	−4.08786	−	19.0076i	−0.210257	−	0.977646i
$379$	−7.35479	−	7.35479i	−0.377790	−	0.377790i	0.492514	−	0.870304i	$-0.336078\pi$
$379$	−7.35479	−	7.35479i	−0.377790	−	0.377790i	−0.870304	+	0.492514i	$0.836078\pi$
$380$	0.710413	−	2.67337i	0.0364434	−	0.137141i
$381$	18.5290	−	14.3006i	0.949270	−	0.732641i
$382$	2.42113	−	18.5382i	0.123876	−	0.948497i
$383$	8.74610	+	15.1487i	0.446905	+	0.774062i	0.998183	−	0.0602596i	$-0.0191928\pi$
$383$	8.74610	+	15.1487i	0.446905	+	0.774062i	−0.551278	+	0.834322i	$0.685860\pi$
$384$	−13.7167	+	13.9948i	−0.699976	+	0.714167i
$385$	−0.881939	−	1.76150i	−0.0449478	−	0.0897744i
$386$	10.8167	+	26.0378i	0.550556	+	1.32529i
$387$	19.0562	−	11.1451i	0.968680	−	0.566539i
$388$	8.65333	−	2.33782i	0.439306	−	0.118685i
$389$	−4.96778	−	18.5400i	−0.251877	−	0.940016i	−0.969802	−	0.243896i	$-0.921575\pi$
$389$	−4.96778	−	18.5400i	−0.251877	−	0.940016i	0.717925	−	0.696120i	$-0.245092\pi$
$390$	−0.420831	−	0.722483i	−0.0213096	−	0.0365843i
$391$	−14.4499			−0.730764
$392$	−16.9942	+	10.1586i	−0.858338	+	0.513084i
$393$	19.6470	−	8.20269i	0.991058	−	0.413771i
$394$	2.20234	+	16.5960i	0.110952	+	0.836094i
$395$	3.42976	−	0.919002i	0.172570	−	0.0462400i
$396$	2.39938	+	8.68729i	0.120573	+	0.436553i
$397$	2.12679	−	7.93727i	0.106740	−	0.398360i	−0.891797	−	0.452437i	$-0.850555\pi$
$397$	2.12679	−	7.93727i	0.106740	−	0.398360i	0.998537	+	0.0540765i	$0.0172215\pi$
$398$	8.88415	+	21.3857i	0.445322	+	1.07197i
$399$	−8.34527	+	9.68746i	−0.417786	+	0.484980i
$400$	−19.0170	+	0.0785603i	−0.950850	+	0.00392802i
$401$	−28.7394	+	16.5927i	−1.43517	+	0.828599i	−0.997509	−	0.0705391i	$-0.977528\pi$
$401$	−28.7394	+	16.5927i	−1.43517	+	0.828599i	−0.437666	+	0.899138i	$0.644195\pi$
$402$	30.1096	−	8.19183i	1.50173	−	0.408571i
$403$	−0.175288	−	0.654185i	−0.00873174	−	0.0325873i
$404$	−0.369191	−	0.636417i	−0.0183679	−	0.0316630i
$405$	3.11895	−	3.18975i	0.154982	−	0.158500i
$406$	4.65153	+	6.85605i	0.230851	+	0.340260i
$407$	2.29563			0.113790
$408$	3.94981	−	15.0969i	0.195545	−	0.747406i
$409$	−8.76642	+	15.1839i	−0.433471	+	0.750794i	−0.997169	−	0.0751865i	$-0.976045\pi$
$409$	−8.76642	+	15.1839i	−0.433471	+	0.750794i	0.563698	+	0.825981i	$0.309378\pi$
$410$	−1.59933	+	1.22983i	−0.0789852	+	0.0607372i
$411$	2.72224	+	20.2386i	0.134278	+	0.998294i
$412$	−8.67624	+	8.71215i	−0.427448	+	0.429217i
$413$	−23.2450	−	26.1852i	−1.14381	−	1.28849i
$414$	7.24688	−	17.8296i	0.356164	−	0.876279i
$415$	−1.73421	−	3.00374i	−0.0851290	−	0.147448i
$416$	3.07815	−	2.38730i	0.150919	−	0.117047i
$417$	−0.809009	+	6.28116i	−0.0396173	+	0.307590i
$418$	3.60338	−	4.70607i	0.176247	−	0.230181i
$419$	−11.8036	+	11.8036i	−0.576645	+	0.576645i	−0.933977	−	0.357332i	$-0.883686\pi$
$419$	−11.8036	+	11.8036i	−0.576645	+	0.576645i	0.357332	+	0.933977i	$0.383686\pi$
$420$	−4.09623	−	1.96478i	−0.199876	−	0.0958713i
$421$	−27.0336	−	27.0336i	−1.31753	−	1.31753i	−0.915722	−	0.401813i	$-0.868380\pi$
$421$	−27.0336	−	27.0336i	−1.31753	−	1.31753i	−0.401813	−	0.915722i	$-0.631620\pi$
$422$	−2.22422	−	16.7609i	−0.108273	−	0.815906i
$423$	36.7022	−	10.0554i	1.78452	−	0.488909i
$424$	−0.629028	+	4.89509i	−0.0305483	+	0.237727i
$425$	13.1152	−	7.57206i	0.636181	−	0.367299i
$426$	−0.106446	−	27.7325i	−0.00515734	−	1.34364i
$427$	31.2689	−	6.41631i	1.51321	−	0.310507i
$428$	−0.0760923	−	36.8393i	−0.00367806	−	1.78070i
$429$	−0.238830	−	1.77559i	−0.0115308	−	0.0857261i
$430$	0.668039	−	5.11508i	0.0322157	−	0.246671i
$431$	−23.2323	−	13.4132i	−1.11906	−	0.646090i	−0.177900	−	0.984049i	$-0.556930\pi$
$431$	−23.2323	−	13.4132i	−1.11906	−	0.646090i	−0.941161	+	0.337959i	$0.890264\pi$
$432$	16.6470	+	12.4450i	0.800929	+	0.598759i
$433$			6.51222i			0.312958i	0.987681	+	0.156479i	$0.0500143\pi$
$433$			6.51222i			0.312958i	−0.987681	+	0.156479i	$0.949986\pi$
$434$	−2.78383	−	2.40674i	−0.133628	−	0.115527i
$435$	−0.722584	+	1.75841i	−0.0346452	+	0.0843092i
$436$	10.2811	−	5.96412i	0.492374	−	0.285630i
$437$	−12.2261	+	3.27597i	−0.584853	+	0.156711i
$438$	−24.0282	−	13.7500i	−1.14811	−	0.657000i
$439$	10.8000	+	18.7062i	0.515457	+	0.892798i	0.999839	+	0.0179414i	$0.00571124\pi$
$439$	10.8000	+	18.7062i	0.515457	+	0.892798i	−0.484382	+	0.874857i	$0.660955\pi$
$440$	1.94814	+	0.799886i	0.0928742	+	0.0381331i
$441$	13.0767	+	16.4317i	0.622699	+	0.782462i
$442$	−1.18415	+	2.86717i	−0.0563243	+	0.136377i
$443$	13.9256	+	3.73136i	0.661627	+	0.177282i	0.573980	−	0.818869i	$-0.305399\pi$
$443$	13.9256	+	3.73136i	0.661627	+	0.177282i	0.0876466	+	0.996152i	$0.472065\pi$
$444$	4.18439	−	3.24330i	0.198582	−	0.153920i
$445$	−1.38013	−	5.15072i	−0.0654245	−	0.244168i
$446$	−19.3203	−	14.7933i	−0.914845	−	0.700485i
$447$	28.9891	−	12.1031i	1.37114	−	0.572455i
$448$	6.55786	−	20.1245i	0.309830	−	0.950792i
$449$		−	17.3114i		−	0.816977i	−0.912764	−	0.408488i	$-0.866056\pi$
$449$		−	17.3114i		−	0.816977i	0.912764	−	0.408488i	$-0.133944\pi$
$450$	2.76562	+	19.9803i	0.130372	+	0.941878i
$451$	−4.17572	+	1.11888i	−0.196627	+	0.0526860i
$452$	−15.9582	+	4.31134i	−0.750611	+	0.202788i
$453$	−21.8480	+	2.93872i	−1.02651	+	0.138073i
$454$	−23.8581	−	9.85349i	−1.11972	−	0.462447i
$455$	0.753918	+	0.497193i	0.0353442	+	0.0233088i
$456$	−0.0806998	−	13.6689i	−0.00377911	−	0.640106i
$457$	−3.12831	+	1.80613i	−0.146336	+	0.0844873i	−0.571380	−	0.820685i	$-0.693592\pi$
$457$	−3.12831	+	1.80613i	−0.146336	+	0.0844873i	0.425044	+	0.905173i	$0.360259\pi$
$458$	−7.40708	+	5.69582i	−0.346110	+	0.266148i
$459$	−16.4276	−	2.02223i	−0.766775	−	0.0943895i
$460$	−2.25666	−	3.89008i	−0.105217	−	0.181376i
$461$	−10.9932	+	10.9932i	−0.512005	+	0.512005i	−0.915141	−	0.403135i	$-0.867920\pi$
$461$	−10.9932	+	10.9932i	−0.512005	+	0.512005i	0.403135	+	0.915141i	$0.367920\pi$
$462$	−6.49048	−	7.25516i	−0.301965	−	0.337540i
$463$	−8.28850			−0.385199			−0.192600	−	0.981277i	$-0.561692\pi$
$463$	−8.28850			−0.385199			−0.192600	+	0.981277i	$0.561692\pi$
$464$	−8.56470	−	2.25702i	−0.397606	−	0.104780i
$465$	0.107867	−	0.837483i	0.00500223	−	0.0388374i
$466$	3.47751	+	0.454170i	0.161093	+	0.0210390i
$467$	−2.17619	−	0.583107i	−0.100702	−	0.0269830i	0.208116	−	0.978104i	$-0.433267\pi$
$467$	−2.17619	−	0.583107i	−0.100702	−	0.0269830i	−0.308818	+	0.951121i	$0.599933\pi$
$468$	−2.94390	−	2.89905i	−0.136082	−	0.134008i
$469$	−25.2055	+	22.3754i	−1.16388	+	1.03320i
$470$	3.39443	−	8.21887i	0.156573	−	0.379108i
$471$	−13.4206	+	17.5920i	−0.618388	+	0.810598i
$472$	37.1264	+	4.77082i	1.70888	+	0.219595i
$473$	5.52671	−	9.57254i	0.254118	−	0.440146i
$474$	15.1618	−	8.83142i	0.696403	−	0.405641i
$475$	9.38010	−	9.38010i	0.430388	−	0.430388i
$476$	3.42218	+	16.5043i	0.156855	+	0.756472i
$477$	5.23464	−	0.0293723i	0.239678	−	0.00134486i
$478$	22.3663	+	17.1256i	1.02301	+	0.783307i
$479$	3.53273	−	6.11886i	0.161414	−	0.279578i	−0.773962	−	0.633232i	$-0.781728\pi$
$479$	3.53273	−	6.11886i	0.161414	−	0.279578i	0.935376	+	0.353654i	$0.115061\pi$
$480$	4.68109	−	1.29436i	0.213661	−	0.0590794i
$481$	−0.911413	+	0.526205i	−0.0415569	+	0.0239929i
$482$	11.0493	−	4.59016i	0.503284	−	0.209076i
$483$	1.54302	+	20.7308i	0.0702097	+	0.943286i
$484$	−12.3910	−	12.3399i	−0.563227	−	0.560906i
$485$	−2.14587	−	0.574985i	−0.0974391	−	0.0261087i
$486$	10.7339	−	19.2557i	0.486901	−	0.873457i
$487$	−19.5940	−	11.3126i	−0.887890	−	0.512623i	−0.0146380	−	0.999893i	$-0.504660\pi$
$487$	−19.5940	−	11.3126i	−0.887890	−	0.512623i	−0.873252	+	0.487270i	$0.837993\pi$
$488$	−20.6896	+	27.1369i	−0.936576	+	1.22843i
$489$	16.4027	−	6.84821i	0.741758	−	0.309687i
$490$	4.90665	−	0.0643299i	0.221660	−	0.00290613i
$491$	−25.4191	+	25.4191i	−1.14715	+	1.14715i	−0.160034	+	0.987111i	$0.551161\pi$
$491$	−25.4191	+	25.4191i	−1.14715	+	1.14715i	−0.987111	+	0.160034i	$0.948839\pi$
$492$	−6.03056	+	7.93896i	−0.271879	+	0.357916i
$493$	6.81293	−	1.82552i	0.306839	−	0.0822172i
$494$	−0.351890	+	2.69437i	−0.0158323	+	0.121225i
$495$	0.566012	−	2.16081i	0.0254403	−	0.0971212i
$496$	3.93401	−	0.0162516i	0.176642	−	0.000729718i
$497$	13.4106	+	26.7851i	0.601549	+	1.20148i
$498$	−12.1659	−	12.0728i	−0.545165	−	0.540996i
$499$	−13.1116	−	3.51324i	−0.586955	−	0.157274i	−0.0468940	−	0.998900i	$-0.514932\pi$
$499$	−13.1116	−	3.51324i	−0.586955	−	0.157274i	−0.540061	+	0.841626i	$0.681599\pi$
$500$	8.38461	+	4.81779i	0.374971	+	0.215458i
$501$	12.3943	+	16.0590i	0.553735	+	0.717464i
$502$	22.9008	−	3.03901i	1.02211	−	0.135638i
$503$			16.8100i			0.749519i	0.927122	+	0.374760i	$0.122275\pi$
$503$			16.8100i			0.749519i	−0.927122	+	0.374760i	$0.877725\pi$
$504$	−22.0808	−	4.05457i	−0.983556	−	0.180605i
$505$			0.182352i			0.00811455i
$506$	−1.26768	−	9.55273i	−0.0563552	−	0.424671i
$507$	−13.2555	−	17.1749i	−0.588698	−	0.762766i
$508$	−7.04893	−	26.0913i	−0.312746	−	1.15761i
$509$	−13.9927	−	3.74932i	−0.620214	−	0.166186i	−0.0649891	−	0.997886i	$-0.520701\pi$
$509$	−13.9927	−	3.74932i	−0.620214	−	0.166186i	−0.555225	+	0.831700i	$0.687368\pi$
$510$	−2.72430	+	2.74530i	−0.120634	+	0.121564i
$511$	29.8496	+	1.77549i	1.32047	+	0.0785432i
$512$	8.85307	+	20.8236i	0.391254	+	0.920283i
$513$	−14.3579	+	2.01333i	−0.633916	+	0.0888906i
$514$	−23.2580	−	3.03754i	−1.02586	−	0.133980i
$515$	2.94353	−	0.788717i	0.129708	−	0.0347550i
$516$	−3.45034	−	25.2566i	−0.151893	−	1.11186i
$517$	13.4731	−	13.4731i	0.592547	−	0.592547i
$518$	−2.49283	+	5.14638i	−0.109529	+	0.226119i
$519$	41.3769	−	17.2750i	1.81625	−	0.758290i
$520$	−0.956803	+	0.128983i	−0.0419586	+	0.00565626i
$521$	17.9780	+	10.3796i	0.787632	+	0.454739i	0.839128	−	0.543934i	$-0.183066\pi$
$521$	17.9780	+	10.3796i	0.787632	+	0.454739i	−0.0514964	+	0.998673i	$0.516399\pi$
$522$	−1.16430	+	9.32194i	−0.0509602	+	0.408010i
$523$	−1.83822	−	0.492550i	−0.0803798	−	0.0215377i	0.218405	−	0.975858i	$-0.429915\pi$
$523$	−1.83822	−	0.492550i	−0.0803798	−	0.0215377i	−0.298785	+	0.954321i	$0.596581\pi$
$524$	−0.0507790	−	24.5841i	−0.00221829	−	1.07396i
$525$	−12.2639	−	18.0074i	−0.535240	−	0.785907i
$526$	9.66380	+	23.2625i	0.421362	+	1.01429i
$527$	−2.71311	+	1.56642i	−0.118185	+	0.0682342i
$528$	10.3269	+	1.28676i	0.449422	+	0.0559989i
$529$	1.21074	−	2.09707i	0.0526411	−	0.0911770i
$530$	0.743633	−	0.971197i	0.0323014	−	0.0421861i
$531$	−0.222772	−	39.7017i	−0.00966748	−	1.72291i
$532$	6.63722	+	13.1884i	0.287760	+	0.571791i
$533$	1.40138	−	1.40138i	0.0607003	−	0.0607003i
$534$	−13.2628	−	22.7695i	−0.573937	−	0.985335i
$535$	−4.56522	+	7.90720i	−0.197372	+	0.341858i
$536$	4.59233	−	35.7375i	0.198358	−	1.54362i
$537$	−6.40711	+	8.39859i	−0.276487	+	0.362426i
$538$	26.0744	+	10.7689i	1.12415	+	0.464278i
$539$	9.76215	+	3.90617i	0.420485	+	0.168251i
$540$	−2.02112	−	4.73831i	−0.0869750	−	0.203904i
$541$	16.5866	+	4.44435i	0.713112	+	0.191078i	0.597096	−	0.802170i	$-0.296321\pi$
$541$	16.5866	+	4.44435i	0.713112	+	0.191078i	0.116016	+	0.993247i	$0.462988\pi$
$542$	4.76286	−	36.4685i	0.204582	−	1.56646i
$543$	1.30949	−	10.1669i	0.0561957	−	0.436304i
$544$	−14.3520	−	10.8954i	−0.615336	−	0.467135i
$545$	−2.94582			−0.126185
$546$	4.23988	+	1.39270i	0.181450	+	0.0596019i
$547$	14.2581	−	14.2581i	0.609631	−	0.609631i	−0.333218	−	0.942850i	$-0.608135\pi$
$547$	14.2581	−	14.2581i	0.609631	−	0.609631i	0.942850	+	0.333218i	$0.108135\pi$
$548$	22.7890	+	6.05588i	0.973499	+	0.258694i
$549$	31.4463	+	17.9210i	1.34210	+	0.764851i
$550$	6.15642	+	8.00607i	0.262511	+	0.341380i
$551$	5.35055	−	3.08914i	0.227941	−	0.131602i
$552$	−15.8069	−	15.6213i	−0.672786	−	0.664889i
$553$	−10.4339	+	15.8215i	−0.443696	+	0.672797i
$554$	−16.6645	+	40.3494i	−0.708005	+	1.71428i
$555$	−1.30042	+	0.174916i	−0.0551997	+	0.00742478i
$556$	6.34058	+	3.64330i	0.268901	+	0.154510i
$557$	−11.8190	+	3.16690i	−0.500789	+	0.134186i	−0.500366	−	0.865814i	$-0.666801\pi$
$557$	−11.8190	+	3.16690i	−0.500789	+	0.134186i	−0.000422644		1.00000i	$0.500135\pi$
$558$	−0.572117	−	4.13327i	−0.0242196	−	0.174975i
$559$			5.06732i			0.214325i
$560$	−3.90869	+	3.49878i	−0.165172	+	0.147851i
$561$	−7.64758	+	3.19290i	−0.322881	+	0.134804i
$562$	8.31692	−	10.8620i	0.350828	−	0.458187i
$563$	6.84970	+	25.5634i	0.288680	+	1.07737i	0.946108	+	0.323852i	$0.104978\pi$
$563$	6.84970	+	25.5634i	0.288680	+	1.07737i	−0.657427	+	0.753518i	$0.728355\pi$
$564$	5.52327	−	43.5933i	0.232572	−	1.83561i
$565$	3.95735	+	1.06037i	0.166487	+	0.0446101i
$566$	34.6126	+	14.2952i	1.45488	+	0.600870i
$567$	−1.14702	+	23.7841i	−0.0481704	+	0.998839i
$568$	−29.6232	−	12.1629i	−1.24296	−	0.510346i
$569$	14.6506	+	25.3756i	0.614187	+	1.06380i	0.990527	+	0.137321i	$0.0438491\pi$
$569$	14.6506	+	25.3756i	0.614187	+	1.06380i	−0.376340	+	0.926482i	$0.622818\pi$
$570$	−1.68264	+	2.94043i	−0.0704781	+	0.123161i
$571$	−22.9658	+	6.15367i	−0.961090	+	0.257523i	−0.705062	−	0.709146i	$-0.749081\pi$
$571$	−22.9658	+	6.15367i	−0.961090	+	0.257523i	−0.256028	+	0.966669i	$0.582414\pi$
$572$	−1.99935	−	0.531299i	−0.0835968	−	0.0222147i
$573$	−8.70307	+	21.1789i	−0.363576	+	0.884763i
$574$	2.02609	−	10.5762i	0.0845675	−	0.441441i
$575$		−	21.5672i		−	0.899412i
$576$	20.6415	−	12.2446i	0.860061	−	0.510191i
$577$	−6.62027	−	3.82222i	−0.275606	−	0.159121i	0.355827	−	0.934552i	$-0.384199\pi$
$577$	−6.62027	−	3.82222i	−0.275606	−	0.159121i	−0.631432	+	0.775431i	$0.717533\pi$
$578$	−9.61067	−	1.25517i	−0.399751	−	0.0522083i
$579$	−4.60335	−	34.2237i	−0.191309	−	1.42229i
$580$	1.55543	+	1.54902i	0.0645858	+	0.0643196i
$581$	17.5659	+	5.84476i	0.728756	+	0.242481i
$582$	−10.9780	+	0.0421371i	−0.455053	+	0.00174664i
$583$	2.26986	−	1.31050i	0.0940080	−	0.0542755i
$584$	−25.3007	+	19.5388i	−1.04695	+	0.808519i
$585$	0.270582	+	0.987627i	0.0111872	+	0.0408333i
$586$	−9.65090	+	1.28071i	−0.398675	+	0.0529055i
$587$	−29.4710	−	29.4710i	−1.21640	−	1.21640i	−0.968885	−	0.247513i	$-0.920387\pi$
$587$	−29.4710	−	29.4710i	−1.21640	−	1.21640i	−0.247513	−	0.968885i	$-0.579613\pi$
$588$	23.3127	−	6.67208i	0.961401	−	0.275152i
$589$	−1.94044	+	1.94044i	−0.0799544	+	0.0799544i
$590$	−7.36597	−	5.64003i	−0.303252	−	0.232196i
$591$	2.61927	−	20.3361i	0.107742	−	0.836514i
$592$	−1.60658	−	5.89828i	−0.0660302	−	0.242418i
$593$	−1.89529	−	3.28274i	−0.0778303	−	0.134806i	0.824483	−	0.565886i	$-0.191466\pi$
$593$	−1.89529	−	3.28274i	−0.0778303	−	0.134806i	−0.902314	+	0.431080i	$0.858133\pi$
$594$	−0.104301	−	11.0376i	−0.00427954	−	0.452877i
$595$	1.31890	−	3.96384i	0.0540698	−	0.162502i
$596$	−0.0749244	−	36.2739i	−0.00306902	−	1.48584i
$597$	−3.78089	−	28.1091i	−0.154742	−	1.15043i
$598$	2.69297	+	3.50205i	0.110124	+	0.143210i
$599$	20.1244	−	34.8564i	0.822260	−	1.42420i	−0.0817360	−	0.996654i	$-0.526046\pi$
$599$	20.1244	−	34.8564i	0.822260	−	1.42420i	0.903996	−	0.427542i	$-0.140620\pi$
$600$	22.5327	+	5.89528i	0.919896	+	0.240674i
$601$	22.9360			0.935578			0.467789	−	0.883840i	$-0.345051\pi$
$601$	22.9360			0.935578			0.467789	+	0.883840i	$0.345051\pi$
$602$	15.4584	+	22.7847i	0.630037	+	0.928634i
$603$	−38.2164	+	0.214438i	−1.55629	+	0.00873257i
$604$	−6.53745	+	24.6013i	−0.266005	+	1.00101i
$605$	1.12177	+	4.18649i	0.0456063	+	0.170205i
$606$	0.236563	+	0.869501i	0.00960970	+	0.0353211i
$607$	12.7058	−	7.33571i	0.515714	−	0.297747i	−0.219466	−	0.975620i	$-0.570431\pi$
$607$	12.7058	−	7.33571i	0.515714	−	0.297747i	0.735179	+	0.677873i	$0.237098\pi$
$608$	−14.6133	−	5.96482i	−0.592649	−	0.241905i
$609$	−3.34652	−	9.57935i	−0.135608	−	0.388175i
$610$	7.81041	−	3.24463i	0.316234	−	0.131371i
$611$	−2.26080	+	8.43741i	−0.0914620	+	0.341341i
$612$	−9.42874	+	16.6245i	−0.381134	+	0.672005i
$613$	−5.36352	+	1.43715i	−0.216631	+	0.0580460i	−0.365502	−	0.930811i	$-0.619103\pi$
$613$	−5.36352	+	1.43715i	−0.216631	+	0.0580460i	0.148871	+	0.988857i	$0.452436\pi$
$614$	−13.5593	+	1.79936i	−0.547209	+	0.0726165i
$615$	2.28018	−	0.951987i	0.0919459	−	0.0383878i
$616$	−10.6106	+	3.71028i	−0.427514	+	0.149492i
$617$	−13.1235			−0.528332			−0.264166	−	0.964477i	$-0.585097\pi$
$617$	−13.1235			−0.528332			−0.264166	+	0.964477i	$0.585097\pi$
$618$	13.0123	−	7.57941i	0.523432	−	0.304889i
$619$	8.06306	+	30.0918i	0.324082	+	1.20949i	0.915232	+	0.402928i	$0.132007\pi$
$619$	8.06306	+	30.0918i	0.324082	+	1.20949i	−0.591150	+	0.806562i	$0.701326\pi$
$620$	−0.845407	−	0.485770i	−0.0339523	−	0.0195090i
$621$	−14.1916	+	18.8207i	−0.569488	+	0.755249i
$622$	30.2857	−	12.5814i	1.21435	−	0.504469i
$623$	23.7603	+	15.6694i	0.951934	+	0.627781i
$624$	−4.39495	+	1.85627i	−0.175939	+	0.0743102i
$625$	10.6874	+	18.5111i	0.427495	+	0.740443i
$626$	−1.56245	−	0.204060i	−0.0624483	−	0.00815587i
$627$	−5.74675	+	4.43531i	−0.229503	+	0.177129i
$628$	12.8205	+	22.1003i	0.511595	+	0.881897i
$629$	3.44231	+	3.44231i	0.137254	+	0.137254i
$630$	4.22950	+	3.61532i	0.168507	+	0.144038i
$631$			44.2183i			1.76030i	0.474695	+	0.880150i	$0.342558\pi$
$631$			44.2183i			1.76030i	−0.474695	+	0.880150i	$0.657442\pi$
$632$	−2.70678	−	20.0791i	−0.107670	−	0.798705i
$633$	−2.64529	+	20.5381i	−0.105141	+	0.816315i
$634$	19.3001	+	25.0987i	0.766505	+	0.996795i
$635$	−1.73368	+	6.47018i	−0.0687989	+	0.256761i
$636$	2.28591	−	5.59562i	0.0906423	−	0.221881i
$637$	−4.77114	+	0.686850i	−0.189039	+	0.0272140i
$638$	1.80453	+	4.34382i	0.0714420	+	0.171974i
$639$	−8.60669	+	32.8570i	−0.340476	+	1.29980i
$640$	0.691788	−	5.56525i	0.0273453	−	0.219986i
$641$	16.4206	+	9.48043i	0.648574	+	0.374454i	0.787910	−	0.615791i	$-0.211163\pi$
$641$	16.4206	+	9.48043i	0.648574	+	0.374454i	−0.139336	+	0.990245i	$0.544497\pi$
$642$	−11.5103	+	43.6260i	−0.454273	+	1.72178i
$643$	−13.2656	−	13.2656i	−0.523144	−	0.523144i	0.395375	−	0.918520i	$-0.370615\pi$
$643$	−13.2656	−	13.2656i	−0.523144	−	0.523144i	−0.918520	+	0.395375i	$0.870615\pi$
$644$	22.7920	+	7.53141i	0.898131	+	0.296779i
$645$	−2.40136	+	5.84371i	−0.0945534	+	0.230096i
$646$	12.4600	−	1.65349i	0.490234	−	0.0650556i
$647$	8.74834	+	5.05086i	0.343933	+	0.198570i	0.662010	−	0.749495i	$-0.269704\pi$
$647$	8.74834	+	5.05086i	0.343933	+	0.198570i	−0.318077	+	0.948065i	$0.603037\pi$
$648$	−15.7841	−	19.9715i	−0.620060	−	0.784555i
$649$	−9.93942	−	17.2156i	−0.390157	−	0.675771i
$650$	−4.27937	−	1.76740i	−0.167851	−	0.0693231i
$651$	2.53700	+	3.72515i	0.0994330	+	0.146000i
$652$	−0.0423941	−	20.5247i	−0.00166028	−	0.803808i
$653$	2.23161	−	8.32848i	0.0873296	−	0.325919i	−0.908416	−	0.418068i	$-0.862707\pi$
$653$	2.23161	−	8.32848i	0.0873296	−	0.325919i	0.995745	+	0.0921499i	$0.0293739\pi$
$654$	−14.0464	+	3.82157i	−0.549259	+	0.149435i
$655$	−3.04653	+	5.27675i	−0.119038	+	0.206180i
$656$	5.79714	+	9.94583i	0.226340	+	0.388319i
$657$	24.1094	+	23.8403i	0.940597	+	0.930100i
$658$	15.5738	+	44.8347i	0.607128	+	1.74784i
$659$	3.66207	+	3.66207i	0.142654	+	0.142654i	0.774827	−	0.632173i	$-0.217837\pi$
$659$	3.66207	+	3.66207i	0.142654	+	0.142654i	−0.632173	+	0.774827i	$0.717837\pi$
$660$	−2.05390	−	1.56017i	−0.0799478	−	0.0607297i
$661$	2.47133	+	9.22313i	0.0961236	+	0.358738i	0.997187	−	0.0749483i	$-0.0238792\pi$
$661$	2.47133	+	9.22313i	0.0961236	+	0.358738i	−0.901064	+	0.433687i	$0.857213\pi$
$662$	−23.0866	−	30.0227i	−0.897285	−	1.16687i
$663$	2.30437	−	3.02062i	0.0894943	−	0.117311i
$664$	−18.2609	+	7.63028i	−0.708661	+	0.296112i
$665$	0.217274	−	3.65282i	0.00842553	−	0.141650i
$666$	−5.97381	+	2.52106i	−0.231480	+	0.0976891i
$667$	2.59977	−	9.70247i	0.100663	−	0.375681i
$668$	22.6132	−	6.10928i	0.874931	−	0.236375i
$669$	18.2088	+	23.5928i	0.703991	+	0.912149i
$670$	−5.42903	+	7.09040i	−0.209742	+	0.273926i
$671$	18.1224			0.699609
$672$	−14.0987	+	21.7538i	−0.543869	+	0.839170i
$673$	−40.0505			−1.54383			−0.771916	−	0.635724i	$-0.780702\pi$
$673$	−40.0505			−1.54383			−0.771916	+	0.635724i	$0.780702\pi$
$674$	−1.60818	+	2.10030i	−0.0619446	+	0.0809006i
$675$	3.01827	−	24.5190i	0.116173	−	0.943735i
$676$	−24.1846	+	6.53380i	−0.930175	+	0.251300i
$677$	6.56130	−	24.4871i	0.252171	−	0.941115i	−0.717471	−	0.696588i	$-0.754701\pi$
$677$	6.56130	−	24.4871i	0.252171	−	0.941115i	0.969642	−	0.244527i	$-0.0786328\pi$
$678$	20.2453	−	0.0777078i	0.777516	−	0.00298435i
$679$	10.6030	−	5.30864i	0.406905	−	0.203727i
$680$	1.72182	+	4.12068i	0.0660287	+	0.158021i
$681$	25.1350	+	19.1750i	0.963177	+	0.734787i
$682$	−1.27356	−	1.65620i	−0.0487673	−	0.0634191i
$683$	11.3444	+	42.3377i	0.434080	+	1.62001i	0.743258	+	0.669005i	$0.233279\pi$
$683$	11.3444	+	42.3377i	0.434080	+	1.62001i	−0.309178	+	0.951004i	$0.600054\pi$
$684$	−4.20869	+	16.2036i	−0.160923	+	0.619560i
$685$	−4.13245	−	4.13245i	−0.157893	−	0.157893i
$686$	−19.3576	+	17.6432i	−0.739077	+	0.673621i
$687$	10.5604	−	4.40900i	0.402903	−	0.168214i
$688$	−28.4630	−	7.50075i	−1.08514	−	0.285964i
$689$	−0.600787	+	1.04059i	−0.0228882	+	0.0396435i
$690$	1.44598	+	5.31479i	0.0550475	+	0.202331i
$691$	−10.3957	+	38.7972i	−0.395470	+	1.47591i	0.425508	+	0.904955i	$0.360095\pi$
$691$	−10.3957	+	38.7972i	−0.395470	+	1.47591i	−0.820978	+	0.570960i	$0.806571\pi$
$692$	−0.106942	−	51.7748i	−0.00406532	−	1.96818i
$693$	5.39739	+	10.6308i	0.205030	+	0.403830i
$694$	5.64810	+	2.33269i	0.214399	+	0.0885476i
$695$	−0.906215	−	1.56961i	−0.0343747	−	0.0595387i
$696$	9.42623	+	5.36828i	0.357300	+	0.203484i
$697$	−7.93926	−	4.58374i	−0.300721	−	0.173621i
$698$	1.51480	−	0.201019i	0.0573360	−	0.00760868i
$699$	−3.97288	−	1.63258i	−0.150268	−	0.0617497i
$700$	−24.6334	+	5.10775i	−0.931054	+	0.193055i
$701$	−0.587547	−	0.587547i	−0.0221914	−	0.0221914i	0.695924	−	0.718115i	$-0.254995\pi$
$701$	−0.587547	−	0.587547i	−0.0221914	−	0.0221914i	−0.718115	+	0.695924i	$0.754995\pi$
$702$	2.57144	+	4.35823i	0.0970528	+	0.164491i
$703$	3.69295	+	2.13213i	0.139282	+	0.0804146i
$704$	5.94376	−	10.4438i	0.224014	−	0.393616i
$705$	−6.60559	+	8.65877i	−0.248781	+	0.326108i
$706$	−15.0582	−	36.2479i	−0.566724	−	1.36421i
$707$	−0.646153	−	0.727882i	−0.0243011	−	0.0273748i
$708$	−42.4396	−	17.3373i	−1.59498	−	0.651577i
$709$	0.575708	−	2.14857i	0.0216212	−	0.0806913i	−0.954272	−	0.298939i	$-0.903367\pi$
$709$	0.575708	−	2.14857i	0.0216212	−	0.0806913i	0.975893	+	0.218248i	$0.0700340\pi$
$710$	4.83807	+	6.29164i	0.181570	+	0.236121i
$711$	−20.7260	+	5.67834i	−0.777285	+	0.212955i
$712$	−30.1543	+	4.06497i	−1.13008	+	0.152341i
$713$			4.46155i			0.167086i
$714$	1.14663	−	20.6116i	0.0429115	−	0.771370i
$715$	0.362551	+	0.362551i	0.0135586	+	0.0135586i
$716$	6.12064	+	10.5509i	0.228739	+	0.394305i
$717$	−21.0795	−	27.3123i	−0.787228	−	1.02000i
$718$	32.4952	+	4.24393i	1.21271	+	0.158382i
$719$	−25.3872	−	43.9719i	−0.946783	−	1.63988i	−0.752142	−	0.659001i	$-0.770979\pi$
$719$	−25.3872	−	43.9719i	−0.946783	−	1.63988i	−0.194641	−	0.980875i	$-0.562354\pi$
$720$	−5.94799	+	0.0579478i	−0.221669	+	0.00215959i
$721$	−8.95473	+	13.5785i	−0.333492	+	0.505690i
$722$	−14.6465	+	6.08450i	−0.545086	+	0.226442i
$723$	−14.5231	+	1.95347i	−0.540120	+	0.0726503i
$724$	−10.2631	−	5.89717i	−0.381425	−	0.219167i
$725$	2.72467	+	10.1686i	0.101192	+	0.377652i
$726$	10.7799	+	18.5070i	0.400081	+	0.686859i
$727$	−26.5391			−0.984281			−0.492141	−	0.870516i	$-0.663785\pi$
$727$	−26.5391			−0.984281			−0.492141	+	0.870516i	$0.663785\pi$
$728$	3.36216	−	3.90522i	0.124610	−	0.144737i
$729$	−18.7678	+	19.4105i	−0.695104	+	0.718909i
$730$	7.85400	−	1.04225i	0.290689	−	0.0385754i
$731$	22.6414	−	6.06673i	0.837421	−	0.224386i
$732$	33.0328	−	25.6036i	1.22093	−	0.946336i
$733$	5.31855	−	19.8491i	0.196445	−	0.733143i	−0.795443	−	0.606029i	$-0.792762\pi$
$733$	5.31855	−	19.8491i	0.196445	−	0.733143i	0.991888	−	0.127115i	$-0.0405716\pi$
$734$	−5.40435	+	2.24510i	−0.199478	+	0.0828681i
$735$	−5.82764	−	1.46891i	−0.214956	−	0.0541817i
$736$	−23.6571	+	9.94252i	−0.872012	+	0.366486i
$737$	−16.5715	+	9.56757i	−0.610420	+	0.352426i
$738$	9.63751	−	7.49737i	0.354762	−	0.275982i
$739$	−0.907491	−	3.38680i	−0.0333826	−	0.124586i	0.947224	−	0.320573i	$-0.103875\pi$
$739$	−0.907491	−	3.38680i	−0.0333826	−	0.124586i	−0.980606	+	0.195988i	$0.937209\pi$
$740$	−0.389117	+	1.46430i	−0.0143042	+	0.0538286i
$741$	1.26492	−	3.07818i	0.0464679	−	0.113080i
$742$	0.473065	+	6.51168i	0.0173667	+	0.239051i
$743$	21.4331			0.786303			0.393152	−	0.919474i	$-0.371385\pi$
$743$	21.4331			0.786303			0.393152	+	0.919474i	$0.371385\pi$
$744$	−4.66130	−	1.21954i	−0.170892	−	0.0447106i
$745$	−4.49515	+	7.78583i	−0.164690	+	0.285251i
$746$	−15.1744	−	19.7334i	−0.555573	−	0.722491i
$747$	10.5976	+	18.1200i	0.387745	+	0.662975i
$748$	0.0197657	+	9.56938i	0.000722707	+	0.349891i
$749$	−9.79597	−	47.7392i	−0.357937	−	1.74435i
$750$	−8.40672	−	8.34243i	−0.306970	−	0.304623i
$751$	−22.4704	−	38.9198i	−0.819955	−	1.42020i	−0.905715	−	0.423888i	$-0.860665\pi$
$751$	−22.4704	−	38.9198i	−0.819955	−	1.42020i	0.0857599	−	0.996316i	$-0.472668\pi$
$752$	−44.0462	−	25.1880i	−1.60620	−	0.918514i
$753$	−28.0617	−	3.61433i	−1.02262	−	0.131713i
$754$	−1.71212	−	1.31095i	−0.0623519	−	0.0477421i
$755$	4.46107	−	4.46107i	0.162355	−	0.162355i
$756$	24.8575	+	11.7519i	0.904057	+	0.427412i
$757$	8.74678	+	8.74678i	0.317907	+	0.317907i	0.847963	−	0.530056i	$-0.177829\pi$
$757$	8.74678	+	8.74678i	0.317907	+	0.317907i	−0.530056	+	0.847963i	$0.677829\pi$
$758$	14.5817	−	1.93505i	0.529633	−	0.0702840i
$759$	−1.50767	+	11.7055i	−0.0547248	+	0.424884i
$760$	2.39104	+	3.09615i	0.0867320	+	0.112309i
$761$	19.1228	−	11.0405i	0.693200	−	0.400219i	−0.111609	−	0.993752i	$-0.535601\pi$
$761$	19.1228	−	11.0405i	0.693200	−	0.400219i	0.804810	+	0.593533i	$0.202267\pi$
$762$	0.127050	+	33.1005i	0.00460255	+	1.19911i
$763$	11.7586	−	10.4383i	0.425691	−	0.377893i
$764$	18.7342	+	18.6570i	0.677780	+	0.674986i
$765$	4.08888	−	2.39140i	0.147834	−	0.0864614i
$766$	−24.5294	−	3.20359i	−0.886283	−	0.115750i
$767$	7.89231	+	4.55662i	0.284975	+	0.164530i
$768$	−3.92111	−	27.4340i	−0.141491	−	0.989940i
$769$		−	17.2185i		−	0.620915i	−0.950587	−	0.310457i	$-0.899518\pi$
$769$		−	17.2185i		−	0.620915i	0.950587	−	0.310457i	$-0.100482\pi$
$770$	2.73617	+	0.524173i	0.0986048	+	0.0188899i
$771$	26.5710	+	10.9188i	0.956931	+	0.393232i
$772$	−38.5365	−	10.2406i	−1.38696	−	0.368566i
$773$	−8.05682	+	2.15882i	−0.289784	+	0.0776473i	−0.400783	−	0.916173i	$-0.631262\pi$
$773$	−8.05682	+	2.15882i	−0.289784	+	0.0776473i	0.110999	+	0.993821i	$0.464595\pi$
$774$	−3.86932	+	30.9795i	−0.139080	+	1.11354i
$775$	−2.33795	−	4.04944i	−0.0839815	−	0.145460i
$776$	−4.81474	+	11.7264i	−0.172839	+	0.420955i
$777$	4.57099	−	5.30615i	0.163983	−	0.190357i
$778$	25.0889	+	10.3618i	0.899482	+	0.371490i
$779$	−7.75660	−	2.07838i	−0.277909	−	0.0744655i
$780$	1.17306	+	0.148627i	0.0420023	+	0.00532170i
$781$	4.40159	+	16.4270i	0.157501	+	0.587803i
$782$	12.4235	−	16.2252i	0.444262	−	0.580213i
$783$	4.31342	−	10.6666i	0.154149	−	0.381192i
$784$	3.20432	−	27.8160i	0.114440	−	0.993430i
$785$		−	6.33237i		−	0.226012i
$786$	−7.68119	+	29.1131i	−0.273979	+	1.03843i
$787$	−2.73196	+	0.732027i	−0.0973839	+	0.0260939i	−0.307182	−	0.951651i	$-0.599386\pi$
$787$	−2.73196	+	0.732027i	−0.0973839	+	0.0260939i	0.209798	+	0.977745i	$0.432719\pi$
$788$	−20.5285	−	11.7956i	−0.731296	−	0.420202i
$789$	−4.11269	−	30.5759i	−0.146416	−	1.08853i
$790$	−1.91686	+	4.64126i	−0.0681988	+	0.165129i
$791$	−19.5537	+	9.79004i	−0.695248	+	0.348094i
$792$	−11.8175	−	4.77482i	−0.419916	−	0.169666i
$793$	−7.19497	+	4.15402i	−0.255501	+	0.147514i
$794$	7.08392	+	9.21222i	0.251399	+	0.326930i
$795$	−1.18596	+	0.915320i	−0.0420618	+	0.0324630i
$796$	−31.6514	−	8.41094i	−1.12185	−	0.298118i
$797$	−32.5582	+	32.5582i	−1.15327	+	1.15327i	−0.167376	+	0.985893i	$0.553529\pi$
$797$	−32.5582	+	32.5582i	−1.15327	+	1.15327i	−0.985893	+	0.167376i	$0.946471\pi$
$798$	−3.70274	−	17.6995i	−0.131075	−	0.626554i
$799$	40.4059			1.42946
$800$	16.2618	−	21.4210i	0.574943	−	0.757346i
$801$	8.52759	+	31.1257i	0.301307	+	1.09977i
$802$	6.07769	−	46.5360i	0.214611	−	1.64324i
$803$	16.3982	+	4.39389i	0.578681	+	0.155057i
$804$	−16.6887	+	40.8518i	−0.588566	+	1.44073i
$805$	−3.94958	−	4.44915i	−0.139204	−	0.156812i
$806$	0.885264	+	0.365618i	0.0311821	+	0.0128783i
$807$	−27.4700	−	20.9563i	−0.966990	−	0.737696i
$808$	1.03202	+	0.132617i	0.0363064	+	0.00466544i
$809$	−14.9133	+	25.8307i	−0.524325	+	0.908158i	0.475273	+	0.879838i	$0.342349\pi$
$809$	−14.9133	+	25.8307i	−0.524325	+	0.908158i	−0.999599	+	0.0283202i	$0.990984\pi$
$810$	0.900095	+	6.24456i	0.0316261	+	0.219411i
$811$	4.30849	−	4.30849i	0.151291	−	0.151291i	−0.627403	−	0.778695i	$-0.715882\pi$
$811$	4.30849	−	4.30849i	0.151291	−	0.151291i	0.778695	+	0.627403i	$0.215882\pi$
$812$	−11.6976	−	0.671542i	−0.410504	−	0.0235665i
$813$	−17.1207	+	41.6633i	−0.600450	+	1.46120i
$814$	−1.97369	+	2.57767i	−0.0691779	+	0.0903474i
$815$	−2.54347	+	4.40542i	−0.0890939	+	0.154315i
$816$	13.5558	+	17.4148i	0.474547	+	0.609639i
$817$	17.7815	−	10.2661i	0.622094	−	0.359166i
$818$	−9.51235	−	22.8979i	−0.332592	−	0.800608i
$819$	−4.57966	−	2.98345i	−0.160026	−	0.104250i
$820$	−0.00589331	−	2.85318i	−0.000205803	−	0.0996375i
$821$	11.2508	+	3.01464i	0.392655	+	0.105212i	0.449744	−	0.893158i	$-0.351515\pi$
$821$	11.2508	+	3.01464i	0.392655	+	0.105212i	−0.0570892	+	0.998369i	$0.518182\pi$
$822$	−25.0655	−	14.3436i	−0.874261	−	0.500290i
$823$	21.9180	+	12.6544i	0.764013	+	0.441103i	0.830735	−	0.556669i	$-0.187921\pi$
$823$	21.9180	+	12.6544i	0.764013	+	0.441103i	−0.0667219	+	0.997772i	$0.521254\pi$
$824$	−2.32305	−	17.2326i	−0.0809272	−	0.600324i
$825$	−4.76554	−	11.4144i	−0.165915	−	0.397397i
$826$	49.3874	−	3.58792i	1.71841	−	0.124840i
$827$	−12.8188	+	12.8188i	−0.445752	+	0.445752i	−0.893940	−	0.448187i	$-0.852070\pi$
$827$	−12.8188	+	12.8188i	−0.445752	+	0.445752i	0.448187	+	0.893940i	$0.352070\pi$
$828$	13.7896	+	23.4664i	0.479222	+	0.815515i
$829$	1.45280	−	0.389278i	0.0504580	−	0.0135202i	−0.233502	−	0.972356i	$-0.575018\pi$
$829$	1.45280	−	0.389278i	0.0504580	−	0.0135202i	0.283960	+	0.958836i	$0.408352\pi$
$830$	4.86378	+	0.635219i	0.168824	+	0.0220488i
$831$	32.4292	−	42.5090i	1.12496	−	1.47462i
$832$	0.0341362	+	5.50884i	0.00118346	+	0.190985i
$833$	8.78106	+	20.4957i	0.304246	+	0.710133i
$834$	−6.35730	−	6.30869i	−0.220135	−	0.218452i
$835$	−5.60768	−	1.50257i	−0.194062	−	0.0519987i
$836$	2.18622	+	8.09218i	0.0756119	+	0.279874i
$837$	−0.624382	+	5.07218i	−0.0215818	+	0.175320i
$838$	−3.10554	−	23.4021i	−0.107279	−	0.808412i
$839$			21.2284i			0.732886i	0.930440	+	0.366443i	$0.119425\pi$
$839$			21.2284i			0.732886i	−0.930440	+	0.366443i	$0.880575\pi$
$840$	5.72794	−	2.91026i	0.197633	−	0.100413i
$841$		−	24.0970i		−	0.830931i
$842$	53.5972	−	7.11253i	1.84708	−	0.245114i
$843$	−13.2640	+	10.2371i	−0.456837	+	0.352584i
$844$	20.7324	+	11.9128i	0.713638	+	0.410056i
$845$	5.99735	+	1.60698i	0.206315	+	0.0552819i
$846$	−20.2643	+	49.8566i	−0.696699	+	1.71410i
$847$	−19.3122	−	12.7360i	−0.663576	−	0.437615i
$848$	−4.95569	−	4.91491i	−0.170179	−	0.168779i
$849$	−36.4651	−	27.8185i	−1.25148	−	0.954728i
$850$	−2.77355	+	21.2367i	−0.0951321	+	0.728412i
$851$	6.69664	−	1.79436i	0.229558	−	0.0615098i
$852$	31.2312	+	23.7238i	1.06996	+	0.812763i
$853$	−11.6339	+	11.6339i	−0.398337	+	0.398337i	−0.877646	−	0.479309i	$-0.840887\pi$
$853$	−11.6339	+	11.6339i	−0.398337	+	0.398337i	0.479309	+	0.877646i	$0.340887\pi$
$854$	−19.6792	+	40.6271i	−0.673407	+	1.39023i
$855$	2.91744	−	2.95036i	0.0997743	−	0.100900i
$856$	41.4308	+	31.5875i	1.41608	+	1.07964i
$857$	10.1671	+	5.86996i	0.347301	+	0.200514i	0.663496	−	0.748180i	$-0.269072\pi$
$857$	10.1671	+	5.86996i	0.347301	+	0.200514i	−0.316195	+	0.948694i	$0.602405\pi$
$858$	2.19907	+	1.25840i	0.0750750	+	0.0429612i
$859$	−24.7860	−	6.64138i	−0.845686	−	0.226601i	−0.190141	−	0.981757i	$-0.560895\pi$
$859$	−24.7860	−	6.64138i	−0.845686	−	0.226601i	−0.655545	+	0.755156i	$0.727561\pi$
$860$	5.16916	+	5.14785i	0.176267	+	0.175540i
$861$	−5.72836	+	11.8797i	−0.195222	+	0.404858i
$862$	35.0353	−	14.5545i	1.19331	−	0.495729i
$863$	−25.9379	+	14.9752i	−0.882936	+	0.509763i	−0.871625	−	0.490173i	$-0.836934\pi$
$863$	−25.9379	+	14.9752i	−0.882936	+	0.509763i	−0.0113106	+	0.999936i	$0.503600\pi$
$864$	−28.2864	+	7.99256i	−0.962322	+	0.271912i
$865$	−6.41606	+	11.1129i	−0.218153	+	0.377852i
$866$	−7.31231	−	5.59895i	−0.248483	−	0.190260i
$867$	10.9797	+	4.51189i	0.372890	+	0.153232i
$868$	5.09585	−	1.05663i	0.172964	−	0.0358643i
$869$	−7.60837	+	7.60837i	−0.258096	+	0.258096i
$870$	−1.35320	−	2.32317i	−0.0458777	−	0.0787628i
$871$	4.38615	−	7.59704i	0.148619	−	0.257416i
$872$	−2.14237	+	16.6719i	−0.0725498	+	0.564582i
$873$	13.0065	+	3.40699i	0.440204	+	0.115309i
$874$	6.83304	−	16.5447i	0.231131	−	0.559633i
$875$	12.1382	+	4.03878i	0.410346	+	0.136536i
$876$	36.0978	−	15.1586i	1.21963	−	0.512162i
$877$	32.6044	+	8.73633i	1.10097	+	0.295005i	0.763161	−	0.646209i	$-0.223646\pi$
$877$	32.6044	+	8.73633i	1.10097	+	0.295005i	0.337812	+	0.941214i	$0.390313\pi$
$878$	−30.2899	−	3.95592i	−1.02223	−	0.133506i
$879$	11.8258	+	1.52316i	0.398875	+	0.0513749i
$880$	−2.57310	+	1.49978i	−0.0867390	+	0.0505577i
$881$	−13.3633			−0.450221			−0.225110	−	0.974333i	$-0.572274\pi$
$881$	−13.3633			−0.450221			−0.225110	+	0.974333i	$0.572274\pi$
$882$	−29.6933	+	0.555955i	−0.999825	+	0.0187200i
$883$	−14.4528	+	14.4528i	−0.486374	+	0.486374i	−0.907160	−	0.420786i	$-0.861754\pi$
$883$	−14.4528	+	14.4528i	−0.486374	+	0.486374i	0.420786	+	0.907160i	$0.361754\pi$
$884$	−2.20134	−	3.79471i	−0.0740390	−	0.127630i
$885$	6.94217	+	8.99485i	0.233359	+	0.302359i
$886$	−16.1625	+	12.4285i	−0.542989	+	0.417542i
$887$	0.640290	−	0.369671i	0.0214988	−	0.0124124i	−0.489212	−	0.872165i	$-0.662716\pi$
$887$	0.640290	−	0.369671i	0.0214988	−	0.0124124i	0.510711	+	0.859753i	$0.329382\pi$
$888$	0.0442020	+	7.48694i	0.00148332	+	0.251245i
$889$	−16.0065	−	31.9698i	−0.536839	−	1.07223i
$890$	6.97012	+	2.87869i	0.233639	+	0.0964939i
$891$	−3.35217	+	13.0966i	−0.112302	+	0.438753i
$892$	33.2217	−	8.97531i	1.11234	−	0.300516i
$893$	34.1875	−	9.16051i	1.14404	−	0.306545i
$894$	−11.3336	+	42.9564i	−0.379052	+	1.43668i
$895$		−	3.02313i		−	0.101052i
$896$	16.9588	+	24.6658i	0.566553	+	0.824025i
$897$	−2.08457	−	4.99292i	−0.0696016	−	0.166709i
$898$	19.4383	+	14.8837i	0.648664	+	0.496674i
$899$	−0.563646	−	2.10355i	−0.0187986	−	0.0701575i
$900$	−24.8128	−	14.0728i	−0.827093	−	0.469094i
$901$	5.36876	+	1.43856i	0.178859	+	0.0479252i
$902$	2.33377	−	5.65071i	0.0777060	−	0.188148i
$903$	−11.1215	−	31.8350i	−0.370100	−	1.05940i
$904$	8.87919	−	21.6255i	0.295318	−	0.719255i
$905$	1.46683	+	2.54063i	0.0487592	+	0.0844534i
$906$	15.4842	−	27.0588i	0.514429	−	0.898969i
$907$	−9.96471	+	2.67004i	−0.330873	+	0.0886571i	−0.420431	−	0.907324i	$-0.638121\pi$
$907$	−9.96471	+	2.67004i	−0.330873	+	0.0886571i	0.0895583	+	0.995982i	$0.471454\pi$
$908$	31.5763	−	18.3177i	1.04790	−	0.607893i
$909$	−0.00619250	−	1.10361i	−0.000205392	−	0.0366044i
$910$	−1.20647	+	0.419078i	−0.0399940	+	0.0138923i
$911$		−	12.3633i		−	0.409613i	−0.978802	−	0.204807i	$-0.934343\pi$
$911$		−	12.3633i		−	0.409613i	0.978802	−	0.204807i	$-0.0656566\pi$
$912$	15.4177	+	11.6614i	0.510530	+	0.386147i
$913$	9.10225	+	5.25519i	0.301240	+	0.173921i
$914$	0.661564	−	5.06549i	0.0218826	−	0.167552i
$915$	−10.2659	+	1.38084i	−0.339380	+	0.0456492i
$916$	−0.0272941	−	13.2141i	−0.000901821	−	0.436608i
$917$	−6.53719	−	31.8580i	−0.215877	−	1.05205i
$918$	16.3945	−	16.7073i	0.541098	−	0.551422i
$919$	21.4978	−	12.4118i	0.709147	−	0.409426i	−0.101598	−	0.994826i	$-0.532396\pi$
$919$	21.4978	−	12.4118i	0.709147	−	0.409426i	0.810745	+	0.585399i	$0.199062\pi$
$920$	6.30820	+	0.810615i	0.207975	+	0.0267252i
$921$	16.6150	+	2.14001i	0.547484	+	0.0705156i
$922$	−2.89232	−	21.7954i	−0.0952534	−	0.717792i
$923$	−5.51290	−	5.51290i	−0.181459	−	0.181459i
$924$	13.7268	−	1.05021i	0.451578	−	0.0345494i
$925$	−5.13780	+	5.13780i	−0.168930	+	0.168930i
$926$	7.12612	−	9.30682i	0.234179	−	0.305841i
$927$	−17.7877	+	4.87334i	−0.584225	+	0.160061i
$928$	9.89790	−	7.67645i	0.324914	−	0.251992i
$929$	−20.1109	−	34.8331i	−0.659818	−	1.14284i	−0.980663	−	0.195706i	$-0.937300\pi$
$929$	−20.1109	−	34.8331i	−0.659818	−	1.14284i	0.320845	−	0.947132i	$-0.396033\pi$
$930$	0.847636	+	0.841154i	0.0277951	+	0.0275825i
$931$	12.0763	+	15.3506i	0.395784	+	0.503096i
$932$	−3.49980	+	3.51428i	−0.114640	+	0.115114i
$933$	−39.8071	+	5.35436i	−1.30323	+	0.175294i
$934$	2.52574	−	1.94222i	0.0826448	−	0.0635513i
$935$	1.18586	−	2.05397i	0.0387819	−	0.0671722i
$936$	5.78627	−	0.813105i	0.189130	−	0.0265772i
$937$	34.7658			1.13575			0.567875	−	0.823115i	$-0.307766\pi$
$937$	34.7658			1.13575			0.567875	+	0.823115i	$0.307766\pi$
$938$	−3.45369	−	47.5397i	−0.112767	−	1.55223i
$939$	1.78502	+	0.733520i	0.0582520	+	0.0239375i
$940$	6.31025	+	10.8777i	0.205818	+	0.354792i
$941$	6.62185	+	24.7131i	0.215866	+	0.805623i	0.985860	+	0.167572i	$0.0535926\pi$
$941$	6.62185	+	24.7131i	0.215866	+	0.805623i	−0.769994	+	0.638051i	$0.779741\pi$
$942$	−8.21490	−	30.1944i	−0.267656	−	0.983785i
$943$	−11.3065	+	6.52782i	−0.368191	+	0.212575i
$944$	−37.2768	+	37.5860i	−1.21326	+	1.22332i
$945$	−3.86750	−	5.61082i	−0.125810	−	0.182520i
$946$	5.99698	+	14.4358i	0.194979	+	0.469348i
$947$	0.116078	−	0.433210i	0.00377203	−	0.0140774i	−0.964014	−	0.265851i	$-0.914347\pi$
$947$	0.116078	−	0.433210i	0.00377203	−	0.0140774i	0.967786	+	0.251773i	$0.0810138\pi$
$948$	−3.11903	+	24.6174i	−0.101301	+	0.799537i
$949$	−7.51759	+	2.01433i	−0.244031	+	0.0653880i
$950$	2.46790	+	18.5972i	0.0800694	+	0.603372i
$951$	−14.9398	−	35.7835i	−0.484455	−	1.16036i
$952$	−21.4742	−	10.3471i	−0.695984	−	0.335351i
$953$	−43.7385			−1.41683			−0.708414	−	0.705797i	$-0.750589\pi$
$953$	−43.7385			−1.41683			−0.708414	+	0.705797i	$0.750589\pi$
$954$	−4.46755	+	5.90301i	−0.144642	+	0.191117i
$955$	−1.69602	−	6.32964i	−0.0548820	−	0.204822i
$956$	−38.4593	+	10.3903i	−1.24386	+	0.336047i
$957$	−0.767966	−	5.70946i	−0.0248248	−	0.184561i
$958$	3.83333	+	9.22751i	0.123849	+	0.298127i
$959$	31.1383	+	1.85214i	1.00551	+	0.0598088i
$960$	−2.57122	+	6.36905i	−0.0829858	+	0.205560i
$961$	−15.0164	−	26.0091i	−0.484399	−	0.839003i
$962$	0.192742	−	1.47580i	0.00621426	−	0.0475816i
$963$	27.3606	−	48.0100i	0.881683	−	1.54710i
$964$	−4.34567	+	16.3533i	−0.139965	+	0.526704i
$965$	6.98802	+	6.98802i	0.224952	+	0.224952i
$966$	−24.6044	−	16.0909i	−0.791635	−	0.517718i
$967$		−	14.8702i		−	0.478194i	−0.970996	−	0.239097i	$-0.923149\pi$
$967$		−	14.8702i		−	0.478194i	0.970996	−	0.239097i	$-0.0768515\pi$
$968$	24.5093	−	3.30399i	0.787758	−	0.106194i
$969$	−15.2680	−	1.96651i	−0.490480	−	0.0631735i
$970$	2.49056	−	1.91517i	0.0799672	−	0.0614923i
$971$	1.54033	−	5.74858i	0.0494314	−	0.184481i	−0.936796	−	0.349877i	$-0.886224\pi$
$971$	1.54033	−	5.74858i	0.0494314	−	0.184481i	0.986227	+	0.165396i	$0.0528902\pi$
$972$	12.3929	+	28.6080i	0.397501	+	0.917602i
$973$	9.17910	+	3.05419i	0.294268	+	0.0979130i
$974$	29.5486	−	12.2752i	0.946799	−	0.393323i
$975$	4.50841	+	3.43937i	0.144385	+	0.110148i
$976$	−12.6829	−	46.5628i	−0.405968	−	1.49044i
$977$	32.2106	+	18.5968i	1.03051	+	0.594964i	0.917130	−	0.398588i	$-0.130500\pi$
$977$	32.2106	+	18.5968i	1.03051	+	0.594964i	0.113378	+	0.993552i	$0.463833\pi$
$978$	−6.41283	+	24.3058i	−0.205060	+	0.777214i
$979$	11.4261	+	11.4261i	0.365178	+	0.365178i
$980$	−4.14631	+	5.56479i	−0.132449	+	0.177761i
$981$	17.8283	−	0.100037i	0.569215	−	0.00319395i
$982$	−6.68776	−	50.3963i	−0.213415	−	1.60821i
$983$	−21.4615	−	12.3908i	−0.684515	−	0.395205i	0.117039	−	0.993127i	$-0.462660\pi$
$983$	−21.4615	−	12.3908i	−0.684515	−	0.395205i	−0.801554	+	0.597923i	$0.795993\pi$
$984$	−3.72950	−	13.5971i	−0.118892	−	0.433459i
$985$	2.93399	+	5.08182i	0.0934847	+	0.161920i
$986$	−3.80768	+	9.21946i	−0.121261	+	0.293608i
$987$	−4.31470	−	57.9691i	−0.137338	−	1.84518i
$988$	−2.72286	−	2.71163i	−0.0866257	−	0.0862686i
$989$	8.63979	−	32.2441i	0.274729	−	1.02530i
$990$	1.93965	+	2.49333i	0.0616462	+	0.0792432i
$991$	−2.66875	+	4.62241i	−0.0847757	+	0.146836i	−0.905296	−	0.424782i	$-0.860351\pi$
$991$	−2.66875	+	4.62241i	−0.0847757	+	0.146836i	0.820520	+	0.571618i	$0.193684\pi$
$992$	−3.36405	+	4.43131i	−0.106809	+	0.140694i
$993$	17.8708	+	42.8038i	0.567112	+	1.35834i
$994$	−41.6058	−	7.97049i	−1.31966	−	0.252809i
$995$	5.73951	+	5.73951i	0.181955	+	0.181955i
$996$	24.0158	−	3.28083i	0.760970	−	0.103957i
$997$	−12.2891	−	45.8634i	−0.389199	−	1.45251i	−0.831441	−	0.555613i	$-0.812484\pi$
$997$	−12.2891	−	45.8634i	−0.389199	−	1.45251i	0.442242	−	0.896896i	$-0.354183\pi$
$998$	15.2177	−	11.7019i	0.481707	−	0.370418i
$999$	7.86430	−	1.10277i	0.248815	−	0.0348900i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bo.a.101.17	yes	240
3.2	odd	2	inner	336.2.bo.a.101.44	yes	240
7.5	odd	6	inner	336.2.bo.a.5.57	yes	240
16.13	even	4	inner	336.2.bo.a.269.4	yes	240
21.5	even	6	inner	336.2.bo.a.5.4	✓	240
48.29	odd	4	inner	336.2.bo.a.269.57	yes	240
112.61	odd	12	inner	336.2.bo.a.173.44	yes	240
336.173	even	12	inner	336.2.bo.a.173.17	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bo.a.5.4	✓	240	21.5	even	6	inner
336.2.bo.a.5.57	yes	240	7.5	odd	6	inner
336.2.bo.a.101.17	yes	240	1.1	even	1	trivial
336.2.bo.a.101.44	yes	240	3.2	odd	2	inner
336.2.bo.a.173.17	yes	240	336.173	even	12	inner
336.2.bo.a.173.44	yes	240	112.61	odd	12	inner
336.2.bo.a.269.4	yes	240	16.13	even	4	inner
336.2.bo.a.269.57	yes	240	48.29	odd	4	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bo (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.859759 + 1.12286i) q^{2} +(1.37116 - 1.05826i) q^{3} +(-0.521627 - 1.93078i) q^{4} +(-0.128294 + 0.478799i) q^{5} +(0.00940185 + 2.44947i) q^{6} +(-1.18449 - 2.36579i) q^{7} +(2.61647 + 1.07429i) q^{8} +(0.760185 - 2.90209i) q^{9} +O(q^{10})\)	\(q+(-0.859759 + 1.12286i) q^{2} +(1.37116 - 1.05826i) q^{3} +(-0.521627 - 1.93078i) q^{4} +(-0.128294 + 0.478799i) q^{5} +(0.00940185 + 2.44947i) q^{6} +(-1.18449 - 2.36579i) q^{7} +(2.61647 + 1.07429i) q^{8} +(0.760185 - 2.90209i) q^{9} +(-0.427322 - 0.555708i) q^{10} +(-0.388770 - 1.45091i) q^{11} +(-2.75850 - 2.09540i) q^{12} +(0.486926 + 0.486926i) q^{13} +(3.67483 + 0.703993i) q^{14} +(0.330780 + 0.792280i) q^{15} +(-3.45581 + 2.01429i) q^{16} +(1.59268 - 2.75860i) q^{17} +(2.60506 + 3.34868i) q^{18} +(0.722159 - 2.69513i) q^{19} +(0.991377 - 0.00204771i) q^{20} +(-4.12775 - 1.99039i) q^{21} +(1.96342 + 0.810899i) q^{22} +(-2.26818 - 3.92860i) q^{23} +(4.72448 - 1.29586i) q^{24} +(4.11734 + 2.37715i) q^{25} +(-0.965390 + 0.128110i) q^{26} +(-2.02882 - 4.78371i) q^{27} +(-3.94996 + 3.52106i) q^{28} +(1.56573 + 1.56573i) q^{29} +(-1.17401 - 0.309751i) q^{30} +(-0.851744 - 0.491755i) q^{31} +(0.709397 - 5.61220i) q^{32} +(-2.06850 - 1.57802i) q^{33} +(1.72820 + 4.16009i) q^{34} +(1.28470 - 0.263618i) q^{35} +(-5.99982 + 0.0460591i) q^{36} +(-0.395551 + 1.47622i) q^{37} +(2.40537 + 3.12805i) q^{38} +(1.18295 + 0.152363i) q^{39} +(-0.850046 + 1.11494i) q^{40} -2.87800i q^{41} +(5.78381 - 2.92363i) q^{42} +(5.20338 + 5.20338i) q^{43} +(-2.59859 + 1.50746i) q^{44} +(1.29199 + 0.736296i) q^{45} +(6.36135 + 0.830805i) q^{46} +(6.34245 + 10.9854i) q^{47} +(-2.60685 + 6.41906i) q^{48} +(-4.19395 + 5.60453i) q^{49} +(-6.20912 + 2.57942i) q^{50} +(-0.735483 - 5.46796i) q^{51} +(0.686153 - 1.19414i) q^{52} +(0.451615 + 1.68545i) q^{53} +(7.11573 + 1.83477i) q^{54} +0.744571 q^{55} +(-0.557639 - 7.46251i) q^{56} +(-1.86194 - 4.45970i) q^{57} +(-3.10424 + 0.411943i) q^{58} +(12.7832 - 3.42524i) q^{59} +(1.35717 - 1.05194i) q^{60} +(-3.12260 + 11.6537i) q^{61} +(1.28447 - 0.533599i) q^{62} +(-7.76617 + 1.63906i) q^{63} +(5.69180 + 5.62169i) q^{64} +(-0.295610 + 0.170670i) q^{65} +(3.55031 - 0.965922i) q^{66} +(-3.29710 - 12.3049i) q^{67} +(-6.15703 - 1.63615i) q^{68} +(-7.26751 - 2.98644i) q^{69} +(-0.808530 + 1.66919i) q^{70} -11.3218 q^{71} +(5.10669 - 6.77656i) q^{72} +(-5.65102 + 9.78785i) q^{73} +(-1.31750 - 1.71334i) q^{74} +(8.16118 - 1.09774i) q^{75} +(-5.58040 + 0.0115264i) q^{76} +(-2.97205 + 2.63834i) q^{77} +(-1.18813 + 1.19729i) q^{78} +(-3.58163 - 6.20356i) q^{79} +(-0.521083 - 1.91306i) q^{80} +(-7.84424 - 4.41225i) q^{81} +(3.23159 + 2.47439i) q^{82} +(-4.94774 + 4.94774i) q^{83} +(-1.68986 + 9.00802i) q^{84} +(1.11649 + 1.11649i) q^{85} +(-10.3163 + 1.36901i) q^{86} +(3.80381 + 0.489929i) q^{87} +(0.541495 - 4.21391i) q^{88} +(-9.31634 + 5.37879i) q^{89} +(-1.93756 + 0.817686i) q^{90} +(0.575206 - 1.72873i) q^{91} +(-6.40211 + 6.42861i) q^{92} +(-1.68828 + 0.227087i) q^{93} +(-17.7881 - 2.32316i) q^{94} +(1.19778 + 0.691538i) q^{95} +(-4.96645 - 8.44597i) q^{96} +4.48178i q^{97} +(-2.68731 - 9.52777i) q^{98} +(-4.50620 + 0.0252849i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) \) 240 * q - 6 * q^3 - 4 * q^4	\( 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) \) 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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