LMFDB - Embedded newform 280.2.bl.b.221.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(221,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))

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

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

chi := DirichletCharacter("280.221");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bl (of order $6$, degree $2$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$30$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			221.20
Character	$\chi$	$=$	280.221
Dual form			280.2.bl.b.261.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.730761 + 1.21078i) q^{2} +(2.17556 + 1.25606i) q^{3} +(-0.931976 + 1.76958i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.0690023 + 3.55200i) q^{6} +(-0.986215 - 2.45507i) q^{7} +(-2.82363 + 0.164724i) q^{8} +(1.65537 + 2.86718i) q^{9} +O(q^{10})$	\(q+(0.730761 + 1.21078i) q^{2} +(2.17556 + 1.25606i) q^{3} +(-0.931976 + 1.76958i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.0690023 + 3.55200i) q^{6} +(-0.986215 - 2.45507i) q^{7} +(-2.82363 + 0.164724i) q^{8} +(1.65537 + 2.86718i) q^{9} +(-1.23825 - 0.683186i) q^{10} +(2.57148 + 1.48465i) q^{11} +(-4.25027 + 2.67921i) q^{12} +3.62879i q^{13} +(2.25186 - 2.98816i) q^{14} -2.51212 q^{15} +(-2.26284 - 3.29842i) q^{16} +(2.80944 - 4.86608i) q^{17} +(-2.26185 + 4.09951i) q^{18} +(0.157235 - 0.0907798i) q^{19} +(-0.0776759 - 1.99849i) q^{20} +(0.938147 - 6.57990i) q^{21} +(0.0815598 + 4.19842i) q^{22} +(-0.471723 - 0.817048i) q^{23} +(-6.34987 - 3.18828i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-4.39367 + 2.65178i) q^{26} +0.780607i q^{27} +(5.26358 + 0.542880i) q^{28} -4.72586i q^{29} +(-1.83576 - 3.04162i) q^{30} +(0.835459 - 1.44706i) q^{31} +(2.34006 - 5.15016i) q^{32} +(3.72961 + 6.45987i) q^{33} +(7.94478 - 0.154338i) q^{34} +(2.08162 + 1.63305i) q^{35} +(-6.61648 + 0.257164i) q^{36} +(8.13638 - 4.69754i) q^{37} +(0.224816 + 0.124039i) q^{38} +(-4.55798 + 7.89464i) q^{39} +(2.36297 - 1.55447i) q^{40} -10.0934 q^{41} +(8.65237 - 3.67244i) q^{42} +8.60288i q^{43} +(-5.02376 + 3.16679i) q^{44} +(-2.86718 - 1.65537i) q^{45} +(0.644549 - 1.16822i) q^{46} +(2.50172 + 4.33311i) q^{47} +(-0.779935 - 10.0182i) q^{48} +(-5.05476 + 4.84246i) q^{49} +(1.41395 - 0.0274678i) q^{50} +(12.2242 - 7.05763i) q^{51} +(-6.42144 - 3.38195i) q^{52} +(-5.51275 - 3.18279i) q^{53} +(-0.945144 + 0.570438i) q^{54} -2.96929 q^{55} +(3.18911 + 6.76975i) q^{56} +0.456099 q^{57} +(5.72198 - 3.45348i) q^{58} +(-1.23231 - 0.711476i) q^{59} +(2.34123 - 4.44540i) q^{60} +(-11.2750 + 6.50962i) q^{61} +(2.36259 - 0.0458964i) q^{62} +(5.40659 - 6.89171i) q^{63} +(7.94573 - 0.930236i) q^{64} +(-1.81440 - 3.14262i) q^{65} +(-5.09603 + 9.23635i) q^{66} +(-0.348486 - 0.201198i) q^{67} +(5.99261 + 9.50660i) q^{68} -2.37005i q^{69} +(-0.456091 + 3.71376i) q^{70} +3.25574 q^{71} +(-5.14643 - 7.82317i) q^{72} +(4.98077 - 8.62695i) q^{73} +(11.6334 + 6.41858i) q^{74} +(2.17556 - 1.25606i) q^{75} +(0.0141028 + 0.362845i) q^{76} +(1.10888 - 7.77736i) q^{77} +(-12.8895 + 0.250395i) q^{78} +(7.47829 + 12.9528i) q^{79} +(3.60889 + 1.72509i) q^{80} +(3.98562 - 6.90329i) q^{81} +(-7.37586 - 12.2209i) q^{82} +3.25131i q^{83} +(10.7693 + 7.79243i) q^{84} +5.61887i q^{85} +(-10.4162 + 6.28665i) q^{86} +(5.93596 - 10.2814i) q^{87} +(-7.50546 - 3.76850i) q^{88} +(-3.78762 - 6.56034i) q^{89} +(-0.0909385 - 4.68121i) q^{90} +(8.90894 - 3.57877i) q^{91} +(1.88547 - 0.0732830i) q^{92} +(3.63518 - 2.09877i) q^{93} +(-3.41828 + 6.19550i) q^{94} +(-0.0907798 + 0.157235i) q^{95} +(11.5598 - 8.26521i) q^{96} -17.6245 q^{97} +(-9.55697 - 2.58152i) q^{98} +9.83054i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9}+O(q^{10}) $ 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9	$ 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9} + 2 q^{10} - 10 q^{12} + 20 q^{14} - 22 q^{16} - 12 q^{17} + 6 q^{18} - 16 q^{20} - 28 q^{22} - 2 q^{23} - 32 q^{24} + 30 q^{25} - 4 q^{26} - 22 q^{28} - 6 q^{32} - 16 q^{34} + 20 q^{36} - 42 q^{38} + 4 q^{40} - 36 q^{41} - 62 q^{42} + 14 q^{44} + 28 q^{46} - 30 q^{47} + 124 q^{48} + 12 q^{49} + 8 q^{50} + 8 q^{52} - 40 q^{54} - 44 q^{55} + 8 q^{56} - 32 q^{57} - 14 q^{58} + 14 q^{60} - 16 q^{62} - 74 q^{63} + 4 q^{64} + 2 q^{65} + 60 q^{66} + 28 q^{68} + 10 q^{70} - 8 q^{71} - 72 q^{72} - 52 q^{74} - 12 q^{76} - 40 q^{78} + 32 q^{79} - 22 q^{81} - 16 q^{82} - 8 q^{84} - 44 q^{86} + 48 q^{87} - 16 q^{88} + 4 q^{89} - 48 q^{90} + 84 q^{92} - 56 q^{94} + 2 q^{95} - 16 q^{96} - 96 q^{97} - 80 q^{98}+O(q^{100}) $ 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9 + 2 * q^10 - 10 * q^12 + 20 * q^14 - 22 * q^16 - 12 * q^17 + 6 * q^18 - 16 * q^20 - 28 * q^22 - 2 * q^23 - 32 * q^24 + 30 * q^25 - 4 * q^26 - 22 * q^28 - 6 * q^32 - 16 * q^34 + 20 * q^36 - 42 * q^38 + 4 * q^40 - 36 * q^41 - 62 * q^42 + 14 * q^44 + 28 * q^46 - 30 * q^47 + 124 * q^48 + 12 * q^49 + 8 * q^50 + 8 * q^52 - 40 * q^54 - 44 * q^55 + 8 * q^56 - 32 * q^57 - 14 * q^58 + 14 * q^60 - 16 * q^62 - 74 * q^63 + 4 * q^64 + 2 * q^65 + 60 * q^66 + 28 * q^68 + 10 * q^70 - 8 * q^71 - 72 * q^72 - 52 * q^74 - 12 * q^76 - 40 * q^78 + 32 * q^79 - 22 * q^81 - 16 * q^82 - 8 * q^84 - 44 * q^86 + 48 * q^87 - 16 * q^88 + 4 * q^89 - 48 * q^90 + 84 * q^92 - 56 * q^94 + 2 * q^95 - 16 * q^96 - 96 * q^97 - 80 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.730761	+	1.21078i	0.516726	+	0.856151i
$2$	0.730761	+	1.21078i	0.516726	+	0.856151i
$3$	2.17556	+	1.25606i	1.25606	+	0.725186i	0.972306	−	0.233711i	$-0.0750871\pi$
$3$	2.17556	+	1.25606i	1.25606	+	0.725186i	0.283753	+	0.958897i	$0.408420\pi$
$4$	−0.931976	+	1.76958i	−0.465988	+	0.884791i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$5$	−0.866025	+	0.500000i	−0.387298	+	0.223607i
$6$	0.0690023	+	3.55200i	0.0281701	+	1.45010i
$7$	−0.986215	−	2.45507i	−0.372754	−	0.927930i
$7$	−0.986215	−	2.45507i	−0.372754	−	0.927930i
$8$	−2.82363	+	0.164724i	−0.998303	+	0.0582386i
$9$	1.65537	+	2.86718i	0.551789	+	0.955727i
$10$	−1.23825	−	0.683186i	−0.391568	−	0.216042i
$11$	2.57148	+	1.48465i	0.775331	+	0.447638i	0.834773	−	0.550594i	$-0.185599\pi$
$11$	2.57148	+	1.48465i	0.775331	+	0.447638i	−0.0594420	+	0.998232i	$0.518932\pi$
$12$	−4.25027	+	2.67921i	−1.22695	+	0.773422i
$13$			3.62879i			1.00645i	0.864157	+	0.503223i	$0.167852\pi$
$13$			3.62879i			1.00645i	−0.864157	+	0.503223i	$0.832148\pi$
$14$	2.25186	−	2.98816i	0.601836	−	0.798620i
$15$	−2.51212			−0.648626
$16$	−2.26284	−	3.29842i	−0.565710	−	0.824604i
$17$	2.80944	−	4.86608i	0.681388	−	1.18020i	−0.293169	−	0.956061i	$-0.594710\pi$
$17$	2.80944	−	4.86608i	0.681388	−	1.18020i	0.974557	−	0.224138i	$-0.0719567\pi$
$18$	−2.26185	+	4.09951i	−0.533123	+	0.966264i
$19$	0.157235	−	0.0907798i	0.0360722	−	0.0208263i	−0.481855	−	0.876251i	$-0.660037\pi$
$19$	0.157235	−	0.0907798i	0.0360722	−	0.0208263i	0.517928	+	0.855424i	$0.326704\pi$
$20$	−0.0776759	−	1.99849i	−0.0173689	−	0.446876i
$21$	0.938147	−	6.57990i	0.204720	−	1.43585i
$22$	0.0815598	+	4.19842i	0.0173886	+	0.895106i
$23$	−0.471723	−	0.817048i	−0.0983611	−	0.170366i	0.812645	−	0.582759i	$-0.198027\pi$
$23$	−0.471723	−	0.817048i	−0.0983611	−	0.170366i	−0.911006	+	0.412392i	$0.864693\pi$
$24$	−6.34987	−	3.18828i	−1.29616	−	0.650804i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	−4.39367	+	2.65178i	−0.861669	+	0.520057i
$27$			0.780607i			0.150228i
$28$	5.26358	+	0.542880i	0.994723	+	0.102595i
$29$		−	4.72586i		−	0.877571i	−0.898592	−	0.438786i	$-0.855409\pi$
$29$		−	4.72586i		−	0.877571i	0.898592	−	0.438786i	$-0.144591\pi$
$30$	−1.83576	−	3.04162i	−0.335162	−	0.555322i
$31$	0.835459	−	1.44706i	0.150053	−	0.259899i	−0.781194	−	0.624289i	$-0.785389\pi$
$31$	0.835459	−	1.44706i	0.150053	−	0.259899i	0.931247	+	0.364389i	$0.118722\pi$
$32$	2.34006	−	5.15016i	0.413668	−	0.910428i
$33$	3.72961	+	6.45987i	0.649241	+	1.12452i
$34$	7.94478	−	0.154338i	1.36252	−	0.0264687i
$35$	2.08162	+	1.63305i	0.351859	+	0.276035i
$36$	−6.61648	+	0.257164i	−1.10275	+	0.0428607i
$37$	8.13638	−	4.69754i	1.33761	−	0.772271i	0.351159	−	0.936316i	$-0.385788\pi$
$37$	8.13638	−	4.69754i	1.33761	−	0.772271i	0.986453	+	0.164045i	$0.0524543\pi$
$38$	0.224816	+	0.124039i	0.0364699	+	0.0201218i
$39$	−4.55798	+	7.89464i	−0.729860	+	1.26415i
$40$	2.36297	−	1.55447i	0.373618	−	0.245783i
$41$	−10.0934			−1.57632			−0.788161	−	0.615468i	$-0.788967\pi$
$41$	−10.0934			−1.57632			−0.788161	+	0.615468i	$0.788967\pi$
$42$	8.65237	−	3.67244i	1.33509	−	0.566670i
$43$			8.60288i			1.31193i	0.754793	+	0.655964i	$0.227738\pi$
$43$			8.60288i			1.31193i	−0.754793	+	0.655964i	$0.772262\pi$
$44$	−5.02376	+	3.16679i	−0.757361	+	0.477412i
$45$	−2.86718	−	1.65537i	−0.427414	−	0.246768i
$46$	0.644549	−	1.16822i	0.0950335	−	0.172245i
$47$	2.50172	+	4.33311i	0.364913	+	0.632048i	0.988762	−	0.149497i	$-0.0477653\pi$
$47$	2.50172	+	4.33311i	0.364913	+	0.632048i	−0.623849	+	0.781545i	$0.714432\pi$
$48$	−0.779935	−	10.0182i	−0.112574	−	1.44600i
$49$	−5.05476	+	4.84246i	−0.722108	+	0.691780i
$50$	1.41395	−	0.0274678i	0.199962	−	0.00388453i
$51$	12.2242	−	7.05763i	1.71173	−	0.988266i
$52$	−6.42144	−	3.38195i	−0.890494	−	0.468992i
$53$	−5.51275	−	3.18279i	−0.757235	−	0.437190i	0.0710671	−	0.997472i	$-0.477360\pi$
$53$	−5.51275	−	3.18279i	−0.757235	−	0.437190i	−0.828302	+	0.560282i	$0.810693\pi$
$54$	−0.945144	+	0.570438i	−0.128618	+	0.0776267i
$55$	−2.96929			−0.400379
$56$	3.18911	+	6.76975i	0.426163	+	0.904646i
$57$	0.456099			0.0604118
$58$	5.72198	−	3.45348i	0.751333	−	0.453464i
$59$	−1.23231	−	0.711476i	−0.160434	−	0.0926263i	0.417634	−	0.908615i	$-0.362860\pi$
$59$	−1.23231	−	0.711476i	−0.160434	−	0.0926263i	−0.578067	+	0.815989i	$0.696193\pi$
$60$	2.34123	−	4.44540i	0.302252	−	0.573899i
$61$	−11.2750	+	6.50962i	−1.44361	+	0.833471i	−0.998089	−	0.0617978i	$-0.980317\pi$
$61$	−11.2750	+	6.50962i	−1.44361	+	0.833471i	−0.445526	+	0.895269i	$0.646983\pi$
$62$	2.36259	−	0.0458964i	0.300049	−	0.00582885i
$63$	5.40659	−	6.89171i	0.681166	−	0.868274i
$64$	7.94573	−	0.930236i	0.993217	−	0.116280i
$65$	−1.81440	−	3.14262i	−0.225048	−	0.389795i
$66$	−5.09603	+	9.23635i	−0.627278	+	1.13692i
$67$	−0.348486	−	0.201198i	−0.0425743	−	0.0245803i	0.478562	−	0.878054i	$-0.341158\pi$
$67$	−0.348486	−	0.201198i	−0.0425743	−	0.0245803i	−0.521136	+	0.853474i	$0.674492\pi$
$68$	5.99261	+	9.50660i	0.726710	+	1.15284i
$69$		−	2.37005i		−	0.285320i
$70$	−0.456091	+	3.71376i	−0.0545133	+	0.443879i
$71$	3.25574			0.386385			0.193192	−	0.981161i	$-0.438116\pi$
$71$	3.25574			0.386385			0.193192	+	0.981161i	$0.438116\pi$
$72$	−5.14643	−	7.82317i	−0.606513	−	0.921970i
$73$	4.98077	−	8.62695i	0.582955	−	1.00971i	−0.412172	−	0.911106i	$-0.635230\pi$
$73$	4.98077	−	8.62695i	0.582955	−	1.00971i	0.995127	−	0.0986020i	$-0.0314371\pi$
$74$	11.6334	+	6.41858i	1.35236	+	0.746145i
$75$	2.17556	−	1.25606i	0.251212	−	0.145037i
$76$	0.0141028	+	0.362845i	0.00161770	+	0.0416212i
$77$	1.10888	−	7.77736i	0.126368	−	0.886312i
$78$	−12.8895	+	0.250395i	−1.45944	+	0.0283516i
$79$	7.47829	+	12.9528i	0.841374	+	1.45730i	0.888734	+	0.458424i	$0.151586\pi$
$79$	7.47829	+	12.9528i	0.841374	+	1.45730i	−0.0473601	+	0.998878i	$0.515081\pi$
$80$	3.60889	+	1.72509i	0.403486	+	0.192871i
$81$	3.98562	−	6.90329i	0.442846	−	0.767032i
$82$	−7.37586	−	12.2209i	−0.814527	−	1.34957i
$83$			3.25131i			0.356878i	0.983951	+	0.178439i	$0.0571047\pi$
$83$			3.25131i			0.356878i	−0.983951	+	0.178439i	$0.942895\pi$
$84$	10.7693	+	7.79243i	1.17503	+	0.850224i
$85$			5.61887i			0.609452i
$86$	−10.4162	+	6.28665i	−1.12321	+	0.677907i
$87$	5.93596	−	10.2814i	0.636402	−	1.10228i
$88$	−7.50546	−	3.76850i	−0.800085	−	0.401724i
$89$	−3.78762	−	6.56034i	−0.401486	−	0.695395i	0.592419	−	0.805630i	$-0.298173\pi$
$89$	−3.78762	−	6.56034i	−0.401486	−	0.695395i	−0.993906	+	0.110235i	$0.964840\pi$
$90$	−0.0909385	−	4.68121i	−0.00958576	−	0.493442i
$91$	8.90894	−	3.57877i	0.933911	−	0.375157i
$92$	1.88547	−	0.0732830i	0.196574	−	0.00764028i
$93$	3.63518	−	2.09877i	0.376951	−	0.217632i
$94$	−3.41828	+	6.19550i	−0.352568	+	0.639017i
$95$	−0.0907798	+	0.157235i	−0.00931381	+	0.0161320i
$96$	11.5598	−	8.26521i	1.17982	−	0.843565i
$97$	−17.6245			−1.78950			−0.894749	−	0.446570i	$-0.852645\pi$
$97$	−17.6245			−1.78950			−0.894749	+	0.446570i	$0.852645\pi$
$98$	−9.55697	−	2.58152i	−0.965400	−	0.260773i
$99$			9.83054i			0.988007i
$100$	1.06651	+	1.69191i	0.106651	+	0.169191i
$101$	−16.2648	−	9.39046i	−1.61840	−	0.934386i	−0.987333	−	0.158660i	$-0.949283\pi$
$101$	−16.2648	−	9.39046i	−1.61840	−	0.934386i	−0.631070	−	0.775726i	$-0.717384\pi$
$102$	17.4782	+	9.64335i	1.73060	+	0.954833i
$103$	−5.07754	−	8.79456i	−0.500305	−	0.866554i	−1.00000		0.000352564i	$-0.999888\pi$
$103$	−5.07754	−	8.79456i	−0.500305	−	0.866554i	0.499695	−	0.866202i	$-0.333446\pi$
$104$	−0.597748	−	10.2463i	−0.0586140	−	1.00474i
$105$	2.47749	+	6.16743i	0.241778	+	0.601880i
$106$	−0.174848	−	9.00059i	−0.0169828	−	0.874215i
$107$	−11.7919	+	6.80806i	−1.13997	+	0.658160i	−0.946422	−	0.322931i	$-0.895332\pi$
$107$	−11.7919	+	6.80806i	−1.13997	+	0.658160i	−0.193544	+	0.981092i	$0.561998\pi$
$108$	−1.38135	−	0.727507i	−0.132920	−	0.0700044i
$109$	9.49094	+	5.47960i	0.909068	+	0.524850i	0.880131	−	0.474731i	$-0.157455\pi$
$109$	9.49094	+	5.47960i	0.909068	+	0.524850i	0.0289366	+	0.999581i	$0.490788\pi$
$110$	−2.16984	−	3.59516i	−0.206886	−	0.342785i
$111$	23.6015			2.24016
$112$	−5.86620	+	8.80839i	−0.554304	+	0.832314i
$113$	14.3958			1.35424			0.677121	−	0.735872i	$-0.263227\pi$
$113$	14.3958			1.35424			0.677121	+	0.735872i	$0.263227\pi$
$114$	0.333300	+	0.552236i	0.0312164	+	0.0517216i
$115$	0.817048	+	0.471723i	0.0761901	+	0.0439884i
$116$	8.36280	+	4.40439i	0.776467	+	0.408938i
$117$	−10.4044	+	6.00699i	−0.961887	+	0.555346i
$118$	−0.0390853	−	2.01198i	−0.00359810	−	0.185218i
$119$	−14.7173	−	2.09836i	−1.34913	−	0.192356i
$120$	7.09328	−	0.413805i	0.647525	−	0.0377751i
$121$	−1.09165	−	1.89080i	−0.0992411	−	0.171891i
$122$	−16.1210	−	8.89456i	−1.45953	−	0.805275i
$123$	−21.9588	−	12.6779i	−1.97995	−	1.14313i
$124$	1.78206	+	2.82704i	0.160034	+	0.253875i
$125$			1.00000i			0.0894427i
$126$	12.2953	+	1.51000i	1.09535	+	0.134521i
$127$	3.90843			0.346817			0.173409	−	0.984850i	$-0.444522\pi$
$127$	3.90843			0.346817			0.173409	+	0.984850i	$0.444522\pi$
$128$	6.93274	+	8.94075i	0.612774	+	0.790258i
$129$	−10.8057	+	18.7161i	−0.951391	+	1.64786i
$130$	2.47914	−	4.49334i	0.217435	−	0.394092i
$131$	−12.4317	+	7.17743i	−1.08616	+	0.627095i	−0.932551	−	0.361037i	$-0.882423\pi$
$131$	−12.4317	+	7.17743i	−1.08616	+	0.627095i	−0.153609	+	0.988132i	$0.549089\pi$
$132$	−14.9072	+	0.579401i	−1.29750	+	0.0504304i
$133$	−0.377939	−	0.296496i	−0.0327715	−	0.0257094i
$134$	−0.0110529	−	0.568967i	−0.000954828	−	0.0491513i
$135$	−0.390304	−	0.676026i	−0.0335920	−	0.0581830i
$136$	−7.13124	+	14.2028i	−0.611498	+	1.21788i
$137$	2.67814	−	4.63868i	0.228809	−	0.396309i	−0.728646	−	0.684890i	$-0.759850\pi$
$137$	2.67814	−	4.63868i	0.228809	−	0.396309i	0.957455	+	0.288581i	$0.0931834\pi$
$138$	2.86961	−	1.73194i	0.244277	−	0.147432i
$139$			7.55937i			0.641177i	0.947219	+	0.320589i	$0.103881\pi$
$139$			7.55937i			0.641177i	−0.947219	+	0.320589i	$0.896119\pi$
$140$	−4.82983	+	2.16164i	−0.408196	+	0.182692i
$141$			12.5692i			1.05852i
$142$	2.37916	+	3.94198i	0.199655	+	0.330804i
$143$	−5.38747	+	9.33137i	−0.450523	+	0.780328i
$144$	5.71133	−	11.9481i	0.475944	−	0.995673i
$145$	2.36293	+	4.09272i	0.196231	+	0.339882i
$146$	14.0851	−	0.273621i	1.16569	−	0.0226451i
$147$	−17.0793	+	4.18598i	−1.40868	+	0.345253i
$148$	0.729771	+	18.7760i	0.0599868	+	1.54338i
$149$	−8.74834	+	5.05086i	−0.716692	+	0.413782i	−0.813534	−	0.581518i	$-0.802459\pi$
$149$	−8.74834	+	5.05086i	−0.716692	+	0.413782i	0.0968420	+	0.995300i	$0.469126\pi$
$150$	3.11062	+	1.71624i	0.253981	+	0.140131i
$151$	−5.87220	+	10.1710i	−0.477873	+	0.827700i	−0.999678	−	0.0253642i	$-0.991925\pi$
$151$	−5.87220	+	10.1710i	−0.477873	+	0.827700i	0.521805	+	0.853065i	$0.325259\pi$
$152$	−0.429020	+	0.282229i	−0.0347981	+	0.0228918i
$153$	18.6026			1.50393
$154$	10.2270	−	4.34078i	0.824114	−	0.349790i
$155$			1.67092i			0.134211i
$156$	−9.72230	−	15.4233i	−0.778407	−	1.23485i
$157$	14.4458	+	8.34027i	1.15290	+	0.665626i	0.949592	−	0.313489i	$-0.101498\pi$
$157$	14.4458	+	8.34027i	1.15290	+	0.665626i	0.203307	+	0.979115i	$0.434831\pi$
$158$	−10.2181	+	18.5200i	−0.812910	+	1.47337i
$159$	−7.99554	−	13.8487i	−0.634088	−	1.09827i
$160$	0.548527	+	5.63020i	0.0433648	+	0.445106i
$161$	−1.54069	+	1.96390i	−0.121424	+	0.154777i
$162$	11.2709	−	0.218952i	0.885525	−	0.0172025i
$163$	20.8369	−	12.0302i	1.63207	−	0.942276i	0.648617	−	0.761115i	$-0.275348\pi$
$163$	20.8369	−	12.0302i	1.63207	−	0.942276i	0.983453	−	0.181162i	$-0.0579858\pi$
$164$	9.40680	−	17.8611i	0.734548	−	1.39472i
$165$	−6.45987	−	3.72961i	−0.502900	−	0.290349i
$166$	−3.93662	+	2.37593i	−0.305541	+	0.184408i
$167$	−6.62428			−0.512602			−0.256301	−	0.966597i	$-0.582504\pi$
$167$	−6.62428			−0.512602			−0.256301	+	0.966597i	$0.582504\pi$
$168$	−1.56511	+	18.7337i	−0.120751	+	1.44534i
$169$	−0.168121			−0.0129324
$170$	−6.80322	+	4.10605i	−0.521783	+	0.314920i
$171$	0.520565	+	0.300548i	0.0398086	+	0.0229835i
$172$	−15.2235	−	8.01768i	−1.16078	−	0.611342i
$173$	4.04039	−	2.33272i	0.307185	−	0.177353i	−0.338481	−	0.940973i	$-0.609913\pi$
$173$	4.04039	−	2.33272i	0.307185	−	0.177353i	0.645666	+	0.763620i	$0.276580\pi$
$174$	16.7863	−	0.326095i	1.27256	−	0.0247212i
$175$	−2.61926	−	0.373449i	−0.197998	−	0.0282301i
$176$	−0.921874	−	11.8413i	−0.0694889	−	0.892574i
$177$	−1.78731	−	3.09572i	−0.134343	−	0.232688i
$178$	5.17529	−	9.38001i	0.387904	−	0.703062i
$179$	−22.1052	−	12.7624i	−1.65222	−	0.953908i	−0.976158	−	0.217061i	$-0.930353\pi$
$179$	−22.1052	−	12.7624i	−1.65222	−	0.953908i	−0.676059	−	0.736847i	$-0.736314\pi$
$180$	5.60146	−	3.53095i	0.417508	−	0.263181i
$181$			11.4354i			0.849986i	0.905197	+	0.424993i	$0.139723\pi$
$181$			11.4354i			0.849986i	−0.905197	+	0.424993i	$0.860277\pi$
$182$	10.8434	+	8.17154i	0.803767	+	0.605715i
$183$	−32.7059			−2.41769
$184$	1.46656	+	2.22934i	0.108116	+	0.164349i
$185$	−4.69754	+	8.13638i	−0.345370	+	0.598198i
$186$	5.19760	+	2.86770i	0.381106	+	0.210270i
$187$	14.4488	−	8.34203i	1.05660	−	0.610030i
$188$	−9.99933	+	0.388647i	−0.729276	+	0.0283450i
$189$	1.91645	−	0.769847i	0.139401	−	0.0559981i
$190$	−0.256716	+	0.00498704i	−0.0186241	+	0.000361798i
$191$	4.53411	+	7.85330i	0.328077	+	0.568245i	0.982130	−	0.188203i	$-0.0602663\pi$
$191$	4.53411	+	7.85330i	0.328077	+	0.568245i	−0.654054	+	0.756448i	$0.726933\pi$
$192$	18.4548	+	7.95653i	1.33186	+	0.574213i
$193$	3.83435	−	6.64129i	0.276002	−	0.478050i	−0.694385	−	0.719604i	$-0.744324\pi$
$193$	3.83435	−	6.64129i	0.276002	−	0.478050i	0.970388	+	0.241553i	$0.0776569\pi$
$194$	−12.8793	−	21.3394i	−0.924680	−	1.53208i
$195$		−	9.11595i		−	0.652807i
$196$	−3.85821	−	13.4579i	−0.275587	−	0.961276i
$197$		−	14.3513i		−	1.02249i	−0.859436	−	0.511243i	$-0.829185\pi$
$197$		−	14.3513i		−	1.02249i	0.859436	−	0.511243i	$-0.170815\pi$
$198$	−11.9026	+	7.18378i	−0.845883	+	0.510529i
$199$	−4.26929	+	7.39463i	−0.302642	+	0.524191i	−0.976734	−	0.214456i	$-0.931202\pi$
$199$	−4.26929	+	7.39463i	−0.302642	+	0.524191i	0.674091	+	0.738648i	$0.264535\pi$
$200$	−1.26916	+	2.52769i	−0.0897430	+	0.178735i
$201$	−0.505434	−	0.875437i	−0.0356506	−	0.0617486i
$202$	−0.515870	−	26.5552i	−0.0362965	−	1.86842i
$203$	−11.6023	+	4.66072i	−0.814325	+	0.327118i
$204$	1.09642	+	28.2092i	0.0767645	+	1.97504i
$205$	8.74113	−	5.04670i	0.610507	−	0.352477i
$206$	6.93781	−	12.5745i	0.483380	−	0.876108i
$207$	1.56175	−	2.70503i	0.108549	−	0.188013i
$208$	11.9693	−	8.21138i	0.829919	−	0.569356i
$209$	0.539104			0.0372906
$210$	−5.65695	+	7.50661i	−0.390367	+	0.518006i
$211$			21.5226i			1.48168i	0.671684	+	0.740838i	$0.265571\pi$
$211$			21.5226i			1.48168i	−0.671684	+	0.740838i	$0.734429\pi$
$212$	10.7700	−	6.78899i	0.739684	−	0.466269i
$213$	7.08304	+	4.08940i	0.485322	+	0.280201i
$214$	−16.8601	−	9.30234i	−1.15253	−	0.635895i
$215$	−4.30144	−	7.45031i	−0.293356	−	0.508107i
$216$	−0.128585	−	2.20414i	−0.00874907	−	0.149973i
$217$	−4.37657	−	0.624002i	−0.297101	−	0.0423600i
$218$	0.301025	+	15.4957i	0.0203880	+	1.04950i
$219$	21.6719	−	12.5123i	1.46445	−	0.845502i
$220$	2.76731	−	5.25441i	0.186572	−	0.354252i
$221$	17.6580	+	10.1949i	1.18781	+	0.685780i
$222$	17.2471	+	28.5763i	1.15755	+	1.91791i
$223$	9.61974			0.644185			0.322093	−	0.946708i	$-0.395614\pi$
$223$	9.61974			0.644185			0.322093	+	0.946708i	$0.395614\pi$
$224$	−14.9518	−	0.665854i	−0.999010	−	0.0444892i
$225$	3.31074			0.220716
$226$	10.5199	+	17.4301i	0.699772	+	1.15943i
$227$	9.45492	+	5.45880i	0.627545	+	0.362313i	0.779801	−	0.626028i	$-0.215320\pi$
$227$	9.45492	+	5.45880i	0.627545	+	0.362313i	−0.152256	+	0.988341i	$0.548654\pi$
$228$	−0.425074	+	0.807105i	−0.0281512	+	0.0534518i
$229$	−2.40745	+	1.38994i	−0.159089	+	0.0918499i	−0.577431	−	0.816440i	$-0.695945\pi$
$229$	−2.40745	+	1.38994i	−0.159089	+	0.0918499i	0.418342	+	0.908290i	$0.362611\pi$
$230$	0.0259144	+	1.33398i	0.00170874	+	0.0879602i
$231$	12.1812	−	15.5273i	0.801467	−	1.02162i
$232$	0.778462	+	13.3441i	0.0511085	+	0.876082i
$233$	0.406613	+	0.704274i	0.0266381	+	0.0461385i	0.879037	−	0.476753i	$-0.158186\pi$
$233$	0.406613	+	0.704274i	0.0266381	+	0.0461385i	−0.852399	+	0.522892i	$0.824853\pi$
$234$	−14.8763	−	8.20777i	−0.972492	−	0.536559i
$235$	−4.33311	−	2.50172i	−0.282661	−	0.163194i
$236$	2.40750	−	1.51760i	0.156715	−	0.0987874i
$237$			37.5727i			2.44061i
$238$	−8.21418	−	19.3528i	−0.532446	−	1.25446i
$239$	15.4024			0.996300			0.498150	−	0.867091i	$-0.334013\pi$
$239$	15.4024			0.996300			0.498150	+	0.867091i	$0.334013\pi$
$240$	5.68452	+	8.28601i	0.366934	+	0.534860i
$241$	10.1860	−	17.6426i	0.656135	−	1.13646i	−0.325472	−	0.945552i	$-0.605523\pi$
$241$	10.1860	−	17.6426i	0.656135	−	1.13646i	0.981608	−	0.190908i	$-0.0611434\pi$
$242$	1.49160	−	2.70347i	0.0958838	−	0.173786i
$243$	19.3700	−	11.1832i	1.24258	−	0.717406i
$244$	−1.01128	−	26.0188i	−0.0647406	−	1.66568i
$245$	1.95632	−	6.72107i	0.124985	−	0.429394i
$246$	−0.696467	−	35.8517i	−0.0444051	−	2.28582i
$247$	0.329421	+	0.570574i	0.0209606	+	0.0363047i
$248$	−2.12066	+	4.22357i	−0.134662	+	0.268197i
$249$	−4.08384	+	7.07341i	−0.258803	+	0.448259i
$250$	−1.21078	+	0.730761i	−0.0765764	+	0.0462174i
$251$		−	3.51086i		−	0.221604i	−0.993843	−	0.110802i	$-0.964658\pi$
$251$		−	3.51086i		−	0.221604i	0.993843	−	0.110802i	$-0.0353419\pi$
$252$	7.15663	+	15.9903i	0.450825	+	1.00729i
$253$		−	2.80137i		−	0.176120i
$254$	2.85613	+	4.73225i	0.179210	+	0.296928i
$255$	−7.05763	+	12.2242i	−0.441966	+	0.765508i
$256$	−5.75910	+	14.9276i	−0.359944	+	0.932974i
$257$	8.36258	+	14.4844i	0.521643	+	0.903513i	0.999683	+	0.0251744i	$0.00801411\pi$
$257$	8.36258	+	14.4844i	0.521643	+	0.903513i	−0.478040	+	0.878338i	$0.658653\pi$
$258$	−30.5574	+	0.593618i	−1.90242	+	0.0369571i
$259$	−19.5570	−	15.3426i	−1.21521	−	0.953343i
$260$	7.25211	−	0.281870i	0.449756	−	0.0174808i
$261$	13.5499	−	7.82305i	0.838719	−	0.484234i
$262$	−17.7749	−	9.80703i	−1.09813	−	0.605880i
$263$	4.03656	−	6.99153i	0.248905	−	0.431116i	−0.714317	−	0.699822i	$-0.753263\pi$
$263$	4.03656	−	6.99153i	0.248905	−	0.431116i	0.963222	+	0.268706i	$0.0865959\pi$
$264$	−11.5951	−	17.6259i	−0.713630	−	1.08480i
$265$	6.36558			0.391034
$266$	0.0828078	−	0.674268i	0.00507727	−	0.0413420i
$267$		−	19.0299i		−	1.16461i
$268$	0.680817	−	0.429162i	0.0415875	−	0.0262152i
$269$	6.59154	+	3.80563i	0.401893	+	0.232033i	0.687301	−	0.726373i	$-0.258796\pi$
$269$	6.59154	+	3.80563i	0.401893	+	0.232033i	−0.285407	+	0.958406i	$0.592129\pi$
$270$	0.533300	−	0.966585i	0.0324556	−	0.0588245i
$271$	3.90519	+	6.76399i	0.237224	+	0.410883i	0.959917	−	0.280286i	$-0.0904293\pi$
$271$	3.90519	+	6.76399i	0.237224	+	0.410883i	−0.722693	+	0.691169i	$0.757096\pi$
$272$	−22.4077	+	1.74449i	−1.35866	+	0.105775i
$273$	23.8771	+	3.40434i	1.44511	+	0.206040i
$274$	7.57351	−	0.147125i	0.457532	−	0.00888816i
$275$	2.57148	−	1.48465i	0.155066	−	0.0895275i
$276$	4.19399	+	2.20883i	0.252449	+	0.132956i
$277$	−0.331818	−	0.191575i	−0.0199370	−	0.0115106i	0.489998	−	0.871723i	$-0.336997\pi$
$277$	−0.331818	−	0.191575i	−0.0199370	−	0.0115106i	−0.509935	+	0.860213i	$0.670331\pi$
$278$	−9.15273	+	5.52409i	−0.548944	+	0.331313i
$279$	5.53197			0.331190
$280$	−6.14673	−	4.26822i	−0.367337	−	0.255075i
$281$	−20.4941			−1.22258			−0.611288	−	0.791408i	$-0.709348\pi$
$281$	−20.4941			−1.22258			−0.611288	+	0.791408i	$0.709348\pi$
$282$	−15.2186	+	9.18511i	−0.906253	+	0.546965i
$283$	4.86250	+	2.80737i	0.289046	+	0.166881i	0.637511	−	0.770441i	$-0.279964\pi$
$283$	4.86250	+	2.80737i	0.289046	+	0.166881i	−0.348466	+	0.937322i	$0.613297\pi$
$284$	−3.03427	+	5.76129i	−0.180051	+	0.341870i
$285$	−0.394994	+	0.228050i	−0.0233974	+	0.0135085i
$286$	−15.2352	+	0.295963i	−0.900876	+	0.0175007i
$287$	9.95426	+	24.7800i	0.587581	+	1.46272i
$288$	18.6401	−	1.81603i	1.09838	−	0.107010i
$289$	−7.28585	−	12.6195i	−0.428579	−	0.742321i
$290$	−3.22864	+	5.85179i	−0.189592	+	0.343629i
$291$	−38.3431	−	22.1374i	−2.24771	−	1.29772i
$292$	10.6241	+	16.8540i	0.621731	+	0.986306i
$293$		−	13.4844i		−	0.787764i	−0.919161	−	0.393882i	$-0.871132\pi$
$293$		−	13.4844i		−	0.787764i	0.919161	−	0.393882i	$-0.128868\pi$
$294$	−17.5492	−	17.6204i	−1.02349	−	1.02764i
$295$	1.42295			0.0828475
$296$	−22.2003	+	14.6043i	−1.29037	+	0.848861i
$297$	−1.15893	+	2.00732i	−0.0672477	+	0.116476i
$298$	−12.5084	−	6.90134i	−0.724593	−	0.399784i
$299$	2.96490	−	1.71178i	0.171464	−	0.0989950i
$300$	0.195131	+	5.02045i	0.0112659	+	0.289856i
$301$	21.1207	−	8.48429i	1.21738	−	0.489027i
$302$	−16.6060	+	0.322593i	−0.955566	+	0.0185631i
$303$	−23.5899	−	40.8590i	−1.35521	−	2.34729i
$304$	−0.655228	−	0.313207i	−0.0375799	−	0.0179637i
$305$	6.50962	−	11.2750i	0.372740	−	0.645604i
$306$	13.5941	+	22.5237i	0.777121	+	1.28759i
$307$		−	14.8085i		−	0.845168i	−0.906324	−	0.422584i	$-0.861123\pi$
$307$		−	14.8085i		−	0.845168i	0.906324	−	0.422584i	$-0.138877\pi$
$308$	12.7292	+	9.21056i	0.725315	+	0.524820i
$309$		−	25.5108i		−	1.45126i
$310$	−2.02311	+	1.22104i	−0.114905	+	0.0693505i
$311$	4.87706	−	8.44732i	0.276553	−	0.479003i	−0.693973	−	0.720001i	$-0.744141\pi$
$311$	4.87706	−	8.44732i	0.276553	−	0.479003i	0.970526	+	0.240998i	$0.0774746\pi$
$312$	11.5696	−	23.0423i	0.654999	−	1.30452i
$313$	5.24137	+	9.07831i	0.296260	+	0.513137i	0.975277	−	0.220985i	$-0.0709273\pi$
$313$	5.24137	+	9.07831i	0.296260	+	0.513137i	−0.679018	+	0.734122i	$0.737594\pi$
$314$	0.458177	+	23.5854i	0.0258564	+	1.33100i
$315$	−1.23639	+	8.67169i	−0.0696627	+	0.488594i
$316$	−29.8906	+	1.16177i	−1.68148	+	0.0653545i
$317$	11.0798	−	6.39694i	0.622305	−	0.359288i	−0.155461	−	0.987842i	$-0.549686\pi$
$317$	11.0798	−	6.39694i	0.622305	−	0.359288i	0.777766	+	0.628554i	$0.216353\pi$
$318$	10.9249	−	19.8009i	0.612637	−	1.11038i
$319$	7.01624	−	12.1525i	0.392834	−	0.680408i
$320$	−6.41609	+	4.77847i	−0.358670	+	0.267125i
$321$	−34.2053			−1.90915
$322$	−3.50373	−	0.430297i	−0.195255	−	0.0239795i
$323$		−	1.02016i		−	0.0567632i
$324$	8.50144	+	13.4866i	0.472302	+	0.749254i
$325$	3.14262	+	1.81440i	0.174321	+	0.100645i
$326$	29.7927	+	16.4377i	1.65006	+	0.910400i
$327$	13.7654	+	23.8424i	0.761228	+	1.31849i
$328$	28.5000	−	1.66262i	1.57365	−	0.0918029i
$329$	8.17085	−	10.4153i	0.450474	−	0.574213i
$330$	−0.204888	−	10.5469i	−0.0112787	−	0.580589i
$331$	4.25866	−	2.45874i	0.234077	−	0.135145i	−0.378374	−	0.925653i	$-0.623517\pi$
$331$	4.25866	−	2.45874i	0.234077	−	0.135145i	0.612452	+	0.790508i	$0.290183\pi$
$332$	−5.75346	−	3.03014i	−0.315762	−	0.166301i
$333$	26.9374	+	15.5523i	1.47616	+	0.852262i
$334$	−4.84077	−	8.02054i	−0.264875	−	0.438865i
$335$	0.402397			0.0219853
$336$	−23.8261	+	11.7949i	−1.29982	+	0.643462i
$337$	−6.72710			−0.366449			−0.183224	−	0.983071i	$-0.558653\pi$
$337$	−6.72710			−0.366449			−0.183224	+	0.983071i	$0.558653\pi$
$338$	−0.122857	−	0.203558i	−0.00668251	−	0.0110721i
$339$	31.3189	+	18.0820i	1.70101	+	0.982077i
$340$	−9.94305	−	5.23665i	−0.539238	−	0.283997i
$341$	4.29674	−	2.48072i	0.232681	−	0.134339i
$342$	0.0165108	+	0.849918i	0.000892800	+	0.0459583i
$343$	16.8737	+	7.63409i	0.911092	+	0.412202i
$344$	−1.41710	−	24.2913i	−0.0764048	−	1.30970i
$345$	1.18502	+	2.05252i	0.0637995	+	0.110504i
$346$	5.77697	+	3.18736i	0.310572	+	0.171354i
$347$	15.9223	+	9.19273i	0.854752	+	0.493491i	0.862251	−	0.506480i	$-0.169054\pi$
$347$	15.9223	+	9.19273i	0.854752	+	0.493491i	−0.00749927	+	0.999972i	$0.502387\pi$
$348$	12.6616	+	20.0862i	0.678732	+	1.07673i
$349$			19.2484i			1.03034i	0.857087	+	0.515172i	$0.172272\pi$
$349$			19.2484i			1.03034i	−0.857087	+	0.515172i	$0.827728\pi$
$350$	−1.46189	−	3.44425i	−0.0781414	−	0.184103i
$351$	−2.83266			−0.151196
$352$	13.6636	−	9.76938i	0.728272	−	0.520710i
$353$	−4.18655	+	7.25132i	−0.222828	+	0.385949i	−0.955665	−	0.294455i	$-0.904862\pi$
$353$	−4.18655	+	7.25132i	−0.222828	+	0.385949i	0.732838	+	0.680403i	$0.238195\pi$
$354$	2.44213	−	4.42627i	0.129798	−	0.235254i
$355$	−2.81955	+	1.62787i	−0.149646	+	0.0863982i
$356$	15.1390	−	0.588413i	0.802367	−	0.0311858i
$357$	−29.3827	−	23.0509i	−1.55510	−	1.21998i
$358$	−0.701110	−	36.0908i	−0.0370548	−	1.90746i
$359$	−3.09768	−	5.36533i	−0.163489	−	0.283172i	0.772629	−	0.634858i	$-0.218942\pi$
$359$	−3.09768	−	5.36533i	−0.163489	−	0.283172i	−0.936118	+	0.351687i	$0.885608\pi$
$360$	8.36853	+	4.20185i	0.441060	+	0.221457i
$361$	−9.48352	+	16.4259i	−0.499133	+	0.864523i
$362$	−13.8457	+	8.35654i	−0.727716	+	0.439210i
$363$		−	5.48472i		−	0.287873i
$364$	−1.97000	+	19.1004i	−0.103256	+	1.00113i
$365$			9.96155i			0.521411i
$366$	−23.9002	−	39.5996i	−1.24928	−	2.06990i
$367$	−7.35917	+	12.7465i	−0.384145	+	0.665359i	−0.991650	−	0.128957i	$-0.958837\pi$
$367$	−7.35917	+	12.7465i	−0.384145	+	0.665359i	0.607505	+	0.794316i	$0.292171\pi$
$368$	−1.62753	+	3.40479i	−0.0848409	+	0.177487i
$369$	−16.7083	−	28.9396i	−0.869798	−	1.50654i
$370$	−13.2841	+	0.258062i	−0.690610	+	0.0134160i
$371$	−2.37722	+	16.6731i	−0.123419	+	0.865626i
$372$	0.326048	+	8.38875i	0.0169048	+	0.434937i
$373$	−22.5919	+	13.0434i	−1.16976	+	0.675364i	−0.953625	−	0.300999i	$-0.902680\pi$
$373$	−22.5919	+	13.0434i	−1.16976	+	0.675364i	−0.216140	+	0.976362i	$0.569347\pi$
$374$	20.6590	+	11.3983i	1.06825	+	0.589393i
$375$	−1.25606	+	2.17556i	−0.0648626	+	0.112345i
$376$	−7.77769	−	11.8230i	−0.401104	−	0.609724i
$377$	17.1492			0.883227
$378$	2.33258	+	1.75782i	0.119975	+	0.0904126i
$379$		−	5.96597i		−	0.306451i	−0.988191	−	0.153226i	$-0.951034\pi$
$379$		−	5.96597i		−	0.306451i	0.988191	−	0.153226i	$-0.0489661\pi$
$380$	−0.193636	−	0.307182i	−0.00993332	−	0.0157581i
$381$	8.50303	+	4.90922i	0.435623	+	0.251507i
$382$	−6.19527	+	11.2287i	−0.316978	+	0.574510i
$383$	1.11689	+	1.93450i	0.0570702	+	0.0988486i	0.893149	−	0.449761i	$-0.148491\pi$
$383$	1.11689	+	1.93450i	0.0570702	+	0.0988486i	−0.836079	+	0.548609i	$0.815157\pi$
$384$	3.85247	+	28.1591i	0.196596	+	1.43699i
$385$	2.92836	+	7.28983i	0.149243	+	0.371524i
$386$	10.8431	−	0.210642i	0.551901	−	0.0107214i
$387$	−24.6660	+	14.2409i	−1.25384	+	0.723908i
$388$	16.4256	−	31.1880i	0.833884	−	1.58333i
$389$	12.4380	+	7.18106i	0.630630	+	0.364094i	0.780996	−	0.624536i	$-0.214712\pi$
$389$	12.4380	+	7.18106i	0.630630	+	0.364094i	−0.150366	+	0.988630i	$0.548045\pi$
$390$	11.0374	−	6.66158i	0.558901	−	0.337322i
$391$	−5.30110			−0.268088
$392$	13.4751	−	14.5059i	0.680594	−	0.732660i
$393$	−36.0611			−1.81904
$394$	17.3762	−	10.4874i	0.875402	−	0.528345i
$395$	−12.9528	−	7.47829i	−0.651725	−	0.376274i
$396$	−17.3960	−	9.16183i	−0.874180	−	0.460399i
$397$	−21.0931	+	12.1781i	−1.05863	+	0.611201i	−0.925053	−	0.379837i	$-0.875980\pi$
$397$	−21.0931	+	12.1781i	−1.05863	+	0.611201i	−0.133578	+	0.991038i	$0.542647\pi$
$398$	−12.0731	+	0.234536i	−0.605170	+	0.0117562i
$399$	−0.449812	−	1.11976i	−0.0225188	−	0.0560580i
$400$	−3.98793	+	0.310469i	−0.199397	+	0.0155235i
$401$	−6.48325	−	11.2293i	−0.323758	−	0.560766i	0.657502	−	0.753453i	$-0.271613\pi$
$401$	−6.48325	−	11.2293i	−0.323758	−	0.560766i	−0.981260	+	0.192687i	$0.938280\pi$
$402$	0.690610	−	1.25170i	0.0344445	−	0.0624294i
$403$	5.25107	+	3.03171i	0.261574	+	0.151020i
$404$	31.7756	−	20.0301i	1.58089	−	0.996536i
$405$			7.97123i			0.396094i
$406$	−14.1216	−	10.6420i	−0.700845	−	0.528154i
$407$	27.8967			1.38279
$408$	−33.3540	+	21.9417i	−1.65127	+	1.08628i
$409$	1.38725	−	2.40279i	0.0685951	−	0.118810i	−0.829688	−	0.558227i	$-0.811482\pi$
$409$	1.38725	−	2.40279i	0.0685951	−	0.118810i	0.898283	+	0.439417i	$0.144815\pi$
$410$	12.4981	+	6.89566i	0.617238	+	0.340552i
$411$	11.6529	−	6.72781i	0.574796	−	0.331859i
$412$	20.2949	−	0.788806i	0.999856	−	0.0388617i
$413$	−0.531400	+	3.72709i	−0.0261485	+	0.183398i
$414$	4.41646	−	0.0857956i	0.217057	−	0.00421662i
$415$	−1.62566	−	2.81572i	−0.0798003	−	0.138218i
$416$	18.6888	+	8.49159i	0.916296	+	0.416334i
$417$	−9.49501	+	16.4458i	−0.464973	+	0.805356i
$418$	0.393956	+	0.652736i	0.0192690	+	0.0319264i
$419$			25.2559i			1.23383i	0.787030	+	0.616915i	$0.211618\pi$
$419$			25.2559i			1.23383i	−0.787030	+	0.616915i	$0.788382\pi$
$420$	−13.2227	−	1.36378i	−0.645203	−	0.0665456i
$421$		−	5.39301i		−	0.262839i	−0.991327	−	0.131420i	$-0.958046\pi$
$421$		−	5.39301i		−	0.262839i	0.991327	−	0.131420i	$-0.0419535\pi$
$422$	−26.0591	+	15.7279i	−1.26854	+	0.765621i
$423$	−8.28254	+	14.3458i	−0.402711	+	0.697515i
$424$	16.0902	+	8.07893i	0.781411	+	0.392347i
$425$	−2.80944	−	4.86608i	−0.136278	−	0.236040i
$426$	0.224653	+	11.5644i	0.0108845	+	0.560296i
$427$	27.1012	+	21.2610i	1.31152	+	1.02889i
$428$	−1.05764	−	27.2117i	−0.0511232	−	1.31533i
$429$	−23.4415	+	13.5340i	−1.13177	+	0.653426i
$430$	5.87736	−	10.6525i	0.283432	−	0.513709i
$431$	0.514277	−	0.890754i	0.0247719	−	0.0429061i	−0.853374	−	0.521300i	$-0.825447\pi$
$431$	0.514277	−	0.890754i	0.0247719	−	0.0429061i	0.878146	+	0.478394i	$0.158781\pi$
$432$	2.57477	−	1.76639i	0.123879	−	0.0849855i
$433$	13.0303			0.626197			0.313098	−	0.949721i	$-0.398633\pi$
$433$	13.0303			0.626197			0.313098	+	0.949721i	$0.398633\pi$
$434$	−2.44270	−	5.75506i	−0.117253	−	0.276252i
$435$			11.8719i			0.569215i
$436$	−18.5419	+	11.6881i	−0.887998	+	0.559761i
$437$	−0.148343	−	0.0856459i	−0.00709621	−	0.00409700i
$438$	30.9866	+	17.0964i	1.48060	+	0.816899i
$439$	3.77057	+	6.53082i	0.179960	+	0.311699i	0.941866	−	0.335987i	$-0.109070\pi$
$439$	3.77057	+	6.53082i	0.179960	+	0.311699i	−0.761907	+	0.647687i	$0.775737\pi$
$440$	8.38417	−	0.489113i	0.399700	−	0.0233175i
$441$	−22.2517	−	6.47686i	−1.05960	−	0.308422i
$442$	0.560060	+	28.8300i	0.0266393	+	1.37130i
$443$	−28.6308	+	16.5300i	−1.36029	+	0.785363i	−0.989662	−	0.143419i	$-0.954190\pi$
$443$	−28.6308	+	16.5300i	−1.36029	+	0.785363i	−0.370627	+	0.928782i	$0.620857\pi$
$444$	−21.9961	+	41.7649i	−1.04389	+	1.98207i
$445$	6.56034	+	3.78762i	0.310990	+	0.179550i
$446$	7.02973	+	11.6474i	0.332867	+	0.551520i
$447$	−25.3767			−1.20028
$448$	−10.1200	−	18.5899i	−0.478125	−	0.878292i
$449$	2.37378			0.112026			0.0560128	−	0.998430i	$-0.482161\pi$
$449$	2.37378			0.112026			0.0560128	+	0.998430i	$0.482161\pi$
$450$	2.41936	+	4.00857i	0.114050	+	0.188966i
$451$	−25.9550	−	14.9851i	−1.22217	−	0.705621i
$452$	−13.4165	+	25.4745i	−0.631060	+	1.19822i
$453$	−25.5506	+	14.7517i	−1.20047	+	0.693094i
$454$	0.299882	+	15.4369i	0.0140742	+	0.724490i
$455$	−5.92599	+	7.55378i	−0.277815	+	0.354126i
$456$	−1.28785	+	0.0751304i	−0.0603093	+	0.00351830i
$457$	9.75037	+	16.8881i	0.456103	+	0.789994i	0.998751	−	0.0499667i	$-0.0159115\pi$
$457$	9.75037	+	16.8881i	0.456103	+	0.789994i	−0.542648	+	0.839960i	$0.682578\pi$
$458$	−3.44218	−	1.89918i	−0.160843	−	0.0887427i
$459$	3.79850	+	2.19307i	0.177299	+	0.102364i
$460$	−1.59622	+	1.00620i	−0.0744242	+	0.0469143i
$461$		−	28.5805i		−	1.33113i	−0.746342	−	0.665563i	$-0.768192\pi$
$461$		−	28.5805i		−	1.33113i	0.746342	−	0.665563i	$-0.231808\pi$
$462$	27.7017	+	3.40208i	1.28880	+	0.158279i
$463$	−11.2888			−0.524633			−0.262317	−	0.964982i	$-0.584486\pi$
$463$	−11.2888			−0.524633			−0.262317	+	0.964982i	$0.584486\pi$
$464$	−15.5879	+	10.6939i	−0.723649	+	0.496451i
$465$	−2.09877	+	3.63518i	−0.0973282	+	0.168577i
$466$	−0.555584	+	1.00697i	−0.0257369	+	0.0466472i
$467$	32.1385	−	18.5552i	1.48719	−	0.858630i	0.487298	−	0.873236i	$-0.337983\pi$
$467$	32.1385	−	18.5552i	1.48719	−	0.858630i	0.999893	+	0.0146058i	$0.00464934\pi$
$468$	−0.933196	−	24.0098i	−0.0431370	−	1.10985i
$469$	−0.150274	+	1.05398i	−0.00693903	+	0.0486684i
$470$	−0.137433	−	7.07460i	−0.00633933	−	0.326327i
$471$	20.9517	+	36.2895i	0.965406	+	1.67213i
$472$	3.59679	+	1.80595i	0.165556	+	0.0831257i
$473$	−12.7722	+	22.1222i	−0.587268	+	1.01718i
$474$	−45.4923	+	27.4567i	−2.08953	+	1.26113i
$475$		−	0.181560i		−	0.00833053i
$476$	17.4294	−	24.0878i	0.798875	−	1.10406i
$477$		−	21.0748i		−	0.964947i
$478$	11.2555	+	18.6489i	0.514814	+	0.852983i
$479$	7.27685	−	12.6039i	0.332488	−	0.575886i	−0.650511	−	0.759497i	$-0.725445\pi$
$479$	7.27685	−	12.6039i	0.332488	−	0.575886i	0.982999	+	0.183611i	$0.0587786\pi$
$480$	−5.87851	+	12.9378i	−0.268316	+	0.590527i
$481$	17.0464	+	29.5252i	0.777248	+	1.34623i
$482$	28.8048	−	0.559571i	1.31202	−	0.0254878i
$483$	−5.81864	+	2.33738i	−0.264757	+	0.106354i
$484$	4.36331	−	0.169590i	0.198332	−	0.00770864i
$485$	15.2633	−	8.81225i	0.693069	−	0.400144i
$486$	27.6953	+	15.2805i	1.25628	+	0.693136i
$487$	18.9239	−	32.7772i	0.857526	−	1.48528i	−0.0167559	−	0.999860i	$-0.505334\pi$
$487$	18.9239	−	32.7772i	0.857526	−	1.48528i	0.874282	−	0.485419i	$-0.161333\pi$
$488$	30.7641	−	20.2380i	1.39262	−	0.916131i
$489$	60.4425			2.73330
$490$	9.56734	−	2.54283i	0.432208	−	0.114873i
$491$			3.34366i			0.150897i	0.997150	+	0.0754487i	$0.0240389\pi$
$491$			3.34366i			0.150897i	−0.997150	+	0.0754487i	$0.975961\pi$
$492$	42.8996	−	27.0423i	1.93406	−	1.21916i
$493$	−22.9965	−	13.2770i	−1.03571	−	0.597966i
$494$	−0.450111	+	0.815810i	−0.0202515	+	0.0367050i
$495$	−4.91527	−	8.51350i	−0.220925	−	0.382653i
$496$	−6.66351	+	0.518769i	−0.299200	+	0.0232934i
$497$	−3.21086	−	7.99306i	−0.144027	−	0.358538i
$498$	−11.5487	+	0.224348i	−0.517508	+	0.0100533i
$499$	9.42971	−	5.44425i	0.422132	−	0.243718i	−0.273857	−	0.961770i	$-0.588300\pi$
$499$	9.42971	−	5.44425i	0.422132	−	0.243718i	0.695989	+	0.718052i	$0.254966\pi$
$500$	−1.76958	−	0.931976i	−0.0791381	−	0.0416792i
$501$	−14.4115	−	8.32048i	−0.643858	−	0.371732i
$502$	4.25088	−	2.56560i	0.189726	−	0.114508i
$503$	−20.1642			−0.899078			−0.449539	−	0.893261i	$-0.648412\pi$
$503$	−20.1642			−0.899078			−0.449539	+	0.893261i	$0.648412\pi$
$504$	−14.1310	+	20.3502i	−0.629443	+	0.906470i
$505$	18.7809			0.835740
$506$	3.39184	−	2.04713i	0.150786	−	0.0910060i
$507$	−0.365758	−	0.211170i	−0.0162439	−	0.00937840i
$508$	−3.64257	+	6.91630i	−0.161613	+	0.306861i
$509$	0.257392	−	0.148605i	0.0114087	−	0.00658682i	−0.494285	−	0.869300i	$-0.664570\pi$
$509$	0.257392	−	0.148605i	0.0114087	−	0.00658682i	0.505694	+	0.862713i	$0.331237\pi$
$510$	−19.9582	+	0.387715i	−0.883765	+	0.0171683i
$511$	−26.0919	−	3.72012i	−1.15424	−	0.164569i
$512$	−22.2825	+	3.93549i	−0.984759	+	0.173926i
$513$	0.0708634	+	0.122739i	0.00312870	+	0.00541906i
$514$	−11.4264	+	20.7099i	−0.503996	+	0.913474i
$515$	8.79456	+	5.07754i	0.387535	+	0.223743i
$516$	−23.0489	−	36.5645i	−1.01467	−	1.60966i
$517$			14.8567i			0.653396i
$518$	4.28501	−	34.8910i	0.188273	−	1.53302i
$519$	11.7201			0.514457
$520$	5.64084	+	8.57472i	0.247367	+	0.376027i
$521$	11.0094	−	19.0689i	0.482331	−	0.835422i	−0.517463	−	0.855706i	$-0.673123\pi$
$521$	11.0094	−	19.0689i	0.482331	−	0.835422i	0.999794	+	0.0202832i	$0.00645678\pi$
$522$	19.3737	+	10.6892i	0.847966	+	0.467853i
$523$	−32.9051	+	18.9978i	−1.43884	+	0.830715i	−0.997769	−	0.0667566i	$-0.978735\pi$
$523$	−32.9051	+	18.9978i	−1.43884	+	0.830715i	−0.441072	+	0.897472i	$0.645402\pi$
$524$	−1.11503	−	28.6881i	−0.0487102	−	1.25324i
$525$	−5.22928	−	4.10241i	−0.228225	−	0.179044i
$526$	11.4150	−	0.221751i	0.497716	−	0.00966879i
$527$	−4.69434	−	8.13083i	−0.204488	−	0.354184i
$528$	12.8678	−	26.9194i	0.560000	−	1.17152i
$529$	11.0550	−	19.1477i	0.480650	−	0.832511i
$530$	4.65172	+	7.70732i	0.202058	+	0.334784i
$531$		−	4.71102i		−	0.204441i
$532$	0.876903	−	0.392467i	0.0380186	−	0.0170156i
$533$		−	36.6268i		−	1.58648i
$534$	23.0410	−	13.9063i	0.997081	−	0.601784i
$535$	6.80806	−	11.7919i	0.294338	−	0.509809i
$536$	1.01714	+	0.510705i	0.0439336	+	0.0220591i
$537$	−32.0607	−	55.5308i	−1.38352	−	2.39633i
$538$	0.209064	+	10.7619i	0.00901339	+	0.463979i
$539$	−20.1876	+	4.94777i	−0.869540	+	0.213116i
$540$	1.56004	−	0.0606344i	0.0671333	−	0.00260929i
$541$	−5.41855	+	3.12840i	−0.232962	+	0.134501i	−0.611938	−	0.790906i	$-0.709610\pi$
$541$	−5.41855	+	3.12840i	−0.232962	+	0.134501i	0.378976	+	0.925407i	$0.376276\pi$
$542$	−5.33594	+	9.67119i	−0.229198	+	0.415413i
$543$	−14.3635	+	24.8784i	−0.616398	+	1.06763i
$544$	−18.4868	−	25.8560i	−0.792617	−	1.10857i
$545$	−10.9592			−0.469441
$546$	13.3265	+	31.3976i	0.570323	+	1.34369i
$547$		−	1.78189i		−	0.0761882i	−0.999274	−	0.0380941i	$-0.987871\pi$
$547$		−	1.78189i		−	0.0761882i	0.999274	−	0.0380941i	$-0.0121287\pi$
$548$	5.71256	+	9.06234i	0.244029	+	0.387124i
$549$	−37.3285	−	21.5516i	−1.59314	−	0.919801i
$550$	3.67672	+	2.02858i	0.156776	+	0.0864988i
$551$	−0.429013	−	0.743073i	−0.0182766	−	0.0316560i
$552$	0.390403	+	6.69213i	0.0166167	+	0.284836i
$553$	24.4248	−	31.1340i	1.03865	−	1.32395i
$554$	−0.0105243	−	0.541754i	−0.000447134	−	0.0230169i
$555$	−20.4395	+	11.8008i	−0.867610	+	0.500915i
$556$	−13.3769	−	7.04515i	−0.567308	−	0.298781i
$557$	−17.4104	−	10.0519i	−0.737701	−	0.425912i	0.0835318	−	0.996505i	$-0.473380\pi$
$557$	−17.4104	−	10.0519i	−0.737701	−	0.425912i	−0.821233	+	0.570593i	$0.806713\pi$
$558$	4.04255	+	6.69800i	0.171135	+	0.283549i
$559$	−31.2181			−1.32038
$560$	0.676087	−	10.5614i	0.0285699	−	0.446300i
$561$	41.9123			1.76954
$562$	−14.9763	−	24.8138i	−0.631737	−	1.04671i
$563$	30.4191	+	17.5625i	1.28201	+	0.740170i	0.977216	−	0.212248i	$-0.0680785\pi$
$563$	30.4191	+	17.5625i	1.28201	+	0.740170i	0.304796	+	0.952418i	$0.401412\pi$
$564$	−22.2423	−	11.7142i	−0.936569	−	0.493258i
$565$	−12.4671	+	7.19789i	−0.524496	+	0.302818i
$566$	0.154224	+	7.93893i	0.00648252	+	0.333698i
$567$	−20.8788	−	2.97685i	−0.876825	−	0.125016i
$568$	−9.19298	+	0.536297i	−0.385729	+	0.0225025i
$569$	21.2673	+	36.8361i	0.891573	+	1.54425i	0.837990	+	0.545686i	$0.183731\pi$
$569$	21.2673	+	36.8361i	0.891573	+	1.54425i	0.0535834	+	0.998563i	$0.482936\pi$
$570$	−0.564764	−	0.311600i	−0.0236554	−	0.0130515i
$571$	18.4781	+	10.6683i	0.773282	+	0.446455i	0.834044	−	0.551697i	$-0.186020\pi$
$571$	18.4781	+	10.6683i	0.773282	+	0.446455i	−0.0607618	+	0.998152i	$0.519353\pi$
$572$	−11.4916	−	18.2302i	−0.480489	−	0.762242i
$573$			22.7804i			0.951666i
$574$	−22.7289	+	30.1607i	−0.948688	+	1.25888i
$575$	−0.943446			−0.0393444
$576$	15.8203	+	21.2420i	0.659178	+	0.885082i
$577$	−2.48498	+	4.30411i	−0.103451	+	0.179182i	−0.913104	−	0.407726i	$-0.866322\pi$
$577$	−2.48498	+	4.30411i	−0.103451	+	0.179182i	0.809653	+	0.586908i	$0.199655\pi$
$578$	9.95518	−	18.0434i	0.414081	−	0.750505i
$579$	16.6837	−	9.63234i	0.693351	−	0.400306i
$580$	−9.44460	+	0.367086i	−0.392166	+	0.0152424i
$581$	7.98220	−	3.20649i	0.331157	−	0.133028i
$582$	−1.21613	−	62.6023i	−0.0504102	−	2.59495i
$583$	−9.45063	−	16.3690i	−0.391405	−	0.677934i
$584$	−12.6428	+	25.1797i	−0.523162	+	1.04194i
$585$	6.00699	−	10.4044i	0.248358	−	0.430169i
$586$	16.3266	−	9.85384i	0.674445	−	0.407058i
$587$		−	33.6819i		−	1.39020i	−0.718912	−	0.695101i	$-0.755360\pi$
$587$		−	33.6819i		−	1.39020i	0.718912	−	0.695101i	$-0.244640\pi$
$588$	8.51011	−	34.1245i	0.350951	−	1.40727i
$589$		−	0.303371i		−	0.0125002i
$590$	1.03984	+	1.72288i	0.0428095	+	0.0709300i
$591$	18.0261	−	31.2220i	0.741493	−	1.28430i
$592$	−33.9058	−	16.2074i	−1.39352	−	0.666119i
$593$	9.71222	+	16.8221i	0.398833	+	0.690799i	0.993582	−	0.113112i	$-0.0360820\pi$
$593$	9.71222	+	16.8221i	0.398833	+	0.690799i	−0.594749	+	0.803911i	$0.702749\pi$
$594$	−3.27732	+	0.0636662i	−0.134470	+	0.00261226i
$595$	13.7947	−	5.54142i	0.565529	−	0.227176i
$596$	−0.784660	−	20.1882i	−0.0321409	−	0.826940i
$597$	−18.5762	+	10.7250i	−0.760273	+	0.438944i
$598$	4.23923	+	2.33893i	0.173355	+	0.0956461i
$599$	14.3565	−	24.8661i	0.586590	−	1.01600i	−0.408086	−	0.912944i	$-0.633804\pi$
$599$	14.3565	−	24.8661i	0.586590	−	1.01600i	0.994675	−	0.103059i	$-0.0328631\pi$
$600$	−5.93606	+	3.90501i	−0.242339	+	0.159421i
$601$	−15.9302			−0.649808			−0.324904	−	0.945747i	$-0.605332\pi$
$601$	−15.9302			−0.649808			−0.324904	+	0.945747i	$0.605332\pi$
$602$	25.7068	+	19.3725i	1.04773	+	0.789565i
$603$		−	1.33223i		−	0.0542526i
$604$	−12.5256	−	19.8704i	−0.509659	−	0.808516i
$605$	1.89080	+	1.09165i	0.0768718	+	0.0443820i
$606$	32.2326	−	58.4204i	1.30936	−	2.37317i
$607$	−8.78880	−	15.2227i	−0.356727	−	0.617869i	0.630685	−	0.776039i	$-0.282774\pi$
$607$	−8.78880	−	15.2227i	−0.356727	−	0.617869i	−0.987412	+	0.158170i	$0.949441\pi$
$608$	−0.0995903	−	1.02222i	−0.00403892	−	0.0414564i
$609$	−31.0957	−	4.43356i	−1.26006	−	0.179657i
$610$	18.4085	−	0.357609i	0.745339	−	0.0144792i
$611$	−15.7239	+	9.07822i	−0.636122	+	0.367265i
$612$	−17.3372	+	32.9188i	−0.700814	+	1.33066i
$613$	18.0808	+	10.4389i	0.730275	+	0.421624i	0.818523	−	0.574474i	$-0.194793\pi$
$613$	18.0808	+	10.4389i	0.730275	+	0.421624i	−0.0882480	+	0.996099i	$0.528127\pi$
$614$	17.9299	−	10.8215i	0.723591	−	0.436721i
$615$	25.3558			1.02244
$616$	−1.84994	+	22.1430i	−0.0745363	+	0.892167i
$617$	−4.31529			−0.173727			−0.0868634	−	0.996220i	$-0.527684\pi$
$617$	−4.31529			−0.173727			−0.0868634	+	0.996220i	$0.527684\pi$
$618$	30.8879	−	18.6423i	1.24250	−	0.749903i
$619$	6.51051	+	3.75885i	0.261680	+	0.151081i	0.625101	−	0.780544i	$-0.285058\pi$
$619$	6.51051	+	3.75885i	0.261680	+	0.151081i	−0.363421	+	0.931625i	$0.618391\pi$
$620$	−2.95683	−	1.55726i	−0.118749	−	0.0625409i
$621$	0.637794	−	0.368230i	0.0255938	−	0.0147766i
$622$	13.7918	−	0.267924i	0.553001	−	0.0107428i
$623$	−12.3707	+	15.7688i	−0.495622	+	0.631763i
$624$	36.3538	−	2.83022i	1.45532	−	0.113300i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−7.16165	+	12.9802i	−0.286237	+	0.518794i
$627$	1.17285	+	0.677146i	0.0468392	+	0.0270426i
$628$	−28.2219	+	17.7900i	−1.12618	+	0.709900i
$629$		−	52.7897i		−	2.10486i
$630$	−11.4030	+	4.83994i	−0.454307	+	0.192828i
$631$	18.4395			0.734066			0.367033	−	0.930208i	$-0.380374\pi$
$631$	18.4395			0.734066			0.367033	+	0.930208i	$0.380374\pi$
$632$	−23.2495	−	35.3420i	−0.924817	−	1.40583i
$633$	−27.0336	+	46.8236i	−1.07449	+	1.86107i
$634$	15.8420	+	8.74060i	0.629166	+	0.347133i
$635$	−3.38480	+	1.95422i	−0.134322	+	0.0775508i
$636$	31.9580	−	1.24212i	1.26722	−	0.0492534i
$637$	−17.5723	−	18.3427i	−0.696239	−	0.726763i
$638$	19.8412	−	0.385441i	0.785519	−	0.0152597i
$639$	5.38944	+	9.33479i	0.213203	+	0.369278i
$640$	−10.4743	−	4.27655i	−0.414033	−	0.169045i
$641$	0.538277	−	0.932322i	0.0212606	−	0.0368245i	−0.855199	−	0.518299i	$-0.826565\pi$
$641$	0.538277	−	0.932322i	0.0212606	−	0.0368245i	0.876460	+	0.481475i	$0.159899\pi$
$642$	−24.9959	−	41.4151i	−0.986510	−	1.63452i
$643$			20.0988i			0.792621i	0.918117	+	0.396311i	$0.129710\pi$
$643$			20.0988i			0.792621i	−0.918117	+	0.396311i	$0.870290\pi$
$644$	−2.03939	−	4.55669i	−0.0803633	−	0.179559i
$645$		−	21.6115i		−	0.850950i
$646$	1.23519	−	0.745493i	0.0485979	−	0.0293310i
$647$	11.3531	−	19.6642i	0.446338	−	0.773079i	−0.551807	−	0.833972i	$-0.686061\pi$
$647$	11.3531	−	19.6642i	0.446338	−	0.773079i	0.998144	+	0.0608927i	$0.0193947\pi$
$648$	−10.1168	+	20.1488i	−0.397424	+	0.791521i
$649$	−2.11258	−	3.65910i	−0.0829261	−	0.143632i
$650$	0.0996748	+	5.13092i	0.00390957	+	0.201251i
$651$	−8.73771	−	6.85479i	−0.342458	−	0.268660i
$652$	1.86891	+	48.0844i	0.0731922	+	1.88313i
$653$	−12.6170	+	7.28442i	−0.493741	+	0.285061i	−0.726125	−	0.687563i	$-0.758681\pi$
$653$	−12.6170	+	7.28442i	−0.493741	+	0.285061i	0.232384	+	0.972624i	$0.425347\pi$
$654$	−18.8086	+	34.0900i	−0.735476	+	1.33302i
$655$	7.17743	−	12.4317i	0.280445	−	0.485746i
$656$	22.8397	+	33.2922i	0.891742	+	1.29984i
$657$	32.9801			1.28667
$658$	18.5816	+	2.28202i	0.724384	+	0.0889626i
$659$		−	8.85549i		−	0.344961i	−0.985013	−	0.172481i	$-0.944822\pi$
$659$		−	8.85549i		−	0.344961i	0.985013	−	0.172481i	$-0.0551782\pi$
$660$	12.6203	−	7.95536i	0.491244	−	0.309662i
$661$	−7.18590	−	4.14878i	−0.279499	−	0.161369i	0.353698	−	0.935360i	$-0.384924\pi$
$661$	−7.18590	−	4.14878i	−0.279499	−	0.161369i	−0.633197	+	0.773991i	$0.718258\pi$
$662$	6.08906	+	3.35955i	0.236658	+	0.130573i
$663$	25.6107	+	44.3590i	0.994636	+	1.72276i
$664$	−0.535568	−	9.18048i	−0.0207841	−	0.356272i
$665$	0.475552	+	0.0678032i	0.0184411	+	0.00262930i
$666$	0.854375	+	43.9803i	0.0331063	+	1.70420i
$667$	−3.86126	+	2.22930i	−0.149509	+	0.0863188i
$668$	6.17367	−	11.7222i	0.238866	−	0.453546i
$669$	20.9283	+	12.0830i	0.809135	+	0.467154i
$670$	0.294056	+	0.487214i	0.0113604	+	0.0188227i
$671$	−38.6579			−1.49237
$672$	−31.6922	−	20.2290i	−1.22255	−	0.780349i
$673$	−21.3966			−0.824779			−0.412390	−	0.911008i	$-0.635306\pi$
$673$	−21.3966			−0.824779			−0.412390	+	0.911008i	$0.635306\pi$
$674$	−4.91591	−	8.14504i	−0.189354	−	0.313735i
$675$	0.676026	+	0.390304i	0.0260202	+	0.0150228i
$676$	0.156685	−	0.297504i	0.00602635	−	0.0114425i
$677$	25.6041	−	14.7826i	0.984047	−	0.568140i	0.0805575	−	0.996750i	$-0.474330\pi$
$677$	25.6041	−	14.7826i	0.984047	−	0.568140i	0.903490	+	0.428610i	$0.140997\pi$
$678$	0.993342	+	51.1338i	0.0381491	+	1.96378i
$679$	17.3816	+	43.2694i	0.667043	+	1.66053i
$680$	−0.925561	−	15.8656i	−0.0354936	−	0.608418i
$681$	13.7132	+	23.7519i	0.525489	+	0.910174i
$682$	6.14350	+	3.38959i	0.235247	+	0.129794i
$683$	19.4779	+	11.2456i	0.745302	+	0.430300i	0.823994	−	0.566599i	$-0.191741\pi$
$683$	19.4779	+	11.2456i	0.745302	+	0.430300i	−0.0786917	+	0.996899i	$0.525074\pi$
$684$	−1.01700	+	0.641078i	−0.0388859	+	0.0245122i
$685$			5.35629i			0.204653i
$686$	3.08742	+	26.0090i	0.117878	+	0.993028i
$687$	−6.98339			−0.266433
$688$	28.3759	−	19.4670i	1.08182	−	0.742171i
$689$	11.5497	−	20.0046i	0.440008	−	0.762116i
$690$	−1.61918	+	2.93471i	−0.0616412	+	0.111722i
$691$	10.7389	−	6.20012i	0.408528	−	0.235864i	−0.281629	−	0.959523i	$-0.590875\pi$
$691$	10.7389	−	6.20012i	0.408528	−	0.235864i	0.690157	+	0.723660i	$0.257541\pi$
$692$	0.362392	+	9.32384i	0.0137761	+	0.354439i
$693$	24.1347	−	9.69503i	0.916801	−	0.368284i
$694$	0.505007	+	25.9961i	0.0191698	+	0.986797i
$695$	−3.77968	−	6.54660i	−0.143372	−	0.248327i
$696$	−15.0674	+	30.0086i	−0.571127	+	1.13747i
$697$	−28.3567	+	49.1153i	−1.07409	+	1.86037i
$698$	−23.3056	+	14.0660i	−0.882130	+	0.532406i
$699$			2.04292i			0.0772703i
$700$	3.10194	−	4.28695i	0.117242	−	0.162032i
$701$		−	15.9858i		−	0.603775i	−0.953343	−	0.301888i	$-0.902383\pi$
$701$		−	15.9858i		−	0.603775i	0.953343	−	0.301888i	$-0.0976168\pi$
$702$	−2.07000	−	3.42973i	−0.0781271	−	0.129447i
$703$	0.852884	−	1.47724i	0.0321671	−	0.0557151i
$704$	21.8134	+	9.40451i	0.822123	+	0.354446i
$705$	−6.28462	−	10.8853i	−0.236692	−	0.409963i
$706$	−11.8391	+	0.229990i	−0.445571	+	0.00865580i
$707$	−7.01371	+	49.1922i	−0.263778	+	1.85006i
$708$	7.14386	−	0.277662i	0.268483	−	0.0104352i
$709$	−29.9940	+	17.3170i	−1.12645	+	0.650354i	−0.943039	−	0.332683i	$-0.892046\pi$
$709$	−29.9940	+	17.3170i	−1.12645	+	0.650354i	−0.183408	+	0.983037i	$0.558713\pi$
$710$	−4.03141	−	2.22427i	−0.151296	−	0.0834754i
$711$	−24.7587	+	42.8832i	−0.928522	+	1.60825i
$712$	11.7755	+	17.9000i	0.441304	+	0.670833i
$713$	−1.57642			−0.0590374
$714$	6.43785	−	52.4206i	0.240930	−	1.96179i
$715$		−	10.7749i		−	0.402960i
$716$	43.1856	−	27.2226i	1.61392	−	1.01736i
$717$	33.5089	+	19.3463i	1.25141	+	0.722502i
$718$	4.23258	−	7.67138i	0.157958	−	0.286293i
$719$	−3.13747	−	5.43426i	−0.117008	−	0.202664i	0.801573	−	0.597897i	$-0.203997\pi$
$719$	−3.13747	−	5.43426i	−0.117008	−	0.202664i	−0.918581	+	0.395234i	$0.870664\pi$
$720$	1.02788	+	13.2030i	0.0383069	+	0.492047i
$721$	−16.5837	+	21.1391i	−0.617611	+	0.787260i
$722$	−26.8184	+	0.520982i	−0.998077	+	0.0193889i
$723$	44.3203	−	25.5883i	1.64829	−	0.951641i
$724$	−20.2359	−	10.6575i	−0.752060	−	0.396083i
$725$	−4.09272	−	2.36293i	−0.152000	−	0.0877571i
$726$	6.64079	−	4.00802i	0.246463	−	0.148752i
$727$	−34.4999			−1.27953			−0.639766	−	0.768570i	$-0.720969\pi$
$727$	−34.4999			−1.27953			−0.639766	+	0.768570i	$0.720969\pi$
$728$	−24.5660	+	11.5726i	−0.910477	+	0.428910i
$729$	32.2736			1.19532
$730$	−12.0612	+	7.27951i	−0.446406	+	0.269427i
$731$	41.8623	+	24.1692i	1.54833	+	0.893932i
$732$	30.4811	−	57.8757i	1.12661	−	2.13915i
$733$	12.4715	−	7.20042i	0.460645	−	0.265954i	−0.251670	−	0.967813i	$-0.580980\pi$
$733$	12.4715	−	7.20042i	0.460645	−	0.265954i	0.712316	+	0.701859i	$0.247647\pi$
$734$	−20.8109	+	0.404280i	−0.768146	+	0.0149222i
$735$	12.6982	−	12.1648i	0.468378	−	0.448706i
$736$	−5.31179	+	0.517505i	−0.195795	+	0.0190755i
$737$	−0.597417	−	1.03476i	−0.0220061	−	0.0381157i
$738$	22.8297	−	41.3780i	0.840373	−	1.52314i
$739$	−30.5380	−	17.6311i	−1.12336	−	0.648572i	−0.181104	−	0.983464i	$-0.557967\pi$
$739$	−30.5380	−	17.6311i	−1.12336	−	0.648572i	−0.942257	+	0.334892i	$0.891300\pi$
$740$	−10.0200	−	15.8956i	−0.368342	−	0.584333i
$741$			1.65509i			0.0608012i
$742$	−21.9247	+	9.30579i	−0.804880	+	0.341626i
$743$	−5.42350			−0.198969			−0.0994844	−	0.995039i	$-0.531719\pi$
$743$	−5.42350			−0.198969			−0.0994844	+	0.995039i	$0.531719\pi$
$744$	−9.91867	+	6.52495i	−0.363636	+	0.239216i
$745$	5.05086	−	8.74834i	0.185049	−	0.320514i
$746$	−32.3020	−	17.8222i	−1.18266	−	0.652516i
$747$	−9.32210	+	5.38212i	−0.341078	+	0.196921i
$748$	1.29595	+	33.3430i	0.0473846	+	1.21914i
$749$	28.3436	+	22.2358i	1.03565	+	0.812477i
$750$	−3.55200	+	0.0690023i	−0.129701	+	0.00251961i
$751$	14.8329	+	25.6913i	0.541259	+	0.937489i	0.998832	+	0.0483164i	$0.0153856\pi$
$751$	14.8329	+	25.6913i	0.541259	+	0.937489i	−0.457573	+	0.889172i	$0.651281\pi$
$752$	8.63139	−	18.0568i	0.314755	−	0.658465i
$753$	4.40985	−	7.63808i	0.160704	−	0.278347i
$754$	12.5319	+	20.7639i	0.456387	+	0.756176i
$755$		−	11.7444i		−	0.427423i
$756$	−0.423776	+	4.10879i	−0.0154126	+	0.149435i
$757$			11.5394i			0.419407i	0.977765	+	0.209704i	$0.0672499\pi$
$757$			11.5394i			0.419407i	−0.977765	+	0.209704i	$0.932750\pi$
$758$	7.22348	−	4.35970i	0.262369	−	0.158351i
$759$	3.51868	−	6.09454i	0.127720	−	0.221218i
$760$	0.230428	−	0.458927i	0.00835850	−	0.0166470i
$761$	2.55148	+	4.41930i	0.0924911	+	0.160199i	0.908559	−	0.417757i	$-0.137184\pi$
$761$	2.55148	+	4.41930i	0.0924911	+	0.160199i	−0.816068	+	0.577956i	$0.803850\pi$
$762$	0.269691	+	13.8828i	0.00976987	+	0.502919i
$763$	4.09270	−	28.7050i	0.148166	−	1.03919i
$764$	−18.1227	+	0.704382i	−0.655658	+	0.0254836i
$765$	−16.1103	+	9.30130i	−0.582470	+	0.336289i
$766$	−1.52608	+	2.76596i	−0.0551396	+	0.0999384i
$767$	2.58180	−	4.47181i	0.0932234	−	0.161468i
$768$	−31.2792	+	25.2420i	−1.12869	+	0.910844i
$769$	−46.8859			−1.69075			−0.845374	−	0.534175i	$-0.820622\pi$
$769$	−46.8859			−1.69075			−0.845374	+	0.534175i	$0.820622\pi$
$770$	−6.68644	+	8.87272i	−0.240963	+	0.319751i
$771$			42.0156i			1.51315i
$772$	8.17878	+	12.9747i	0.294361	+	0.466970i
$773$	−24.0604	−	13.8913i	−0.865394	−	0.499635i	0.000421146	−	1.00000i	$-0.499866\pi$
$773$	−24.0604	−	13.8913i	−0.865394	−	0.499635i	−0.865815	+	0.500365i	$0.833199\pi$
$774$	−35.2676	−	19.4584i	−1.26767	−	0.699418i
$775$	−0.835459	−	1.44706i	−0.0300106	−	0.0519798i
$776$	49.7650	−	2.90317i	1.78646	−	0.104218i
$777$	−23.2762	−	57.9435i	−0.835029	−	2.07871i
$778$	0.394496	+	20.3073i	0.0141433	+	0.728051i
$779$	−1.58704	+	0.916276i	−0.0568615	+	0.0328290i
$780$	16.1314	+	8.49585i	0.577598	+	0.304200i
$781$	8.37207	+	4.83361i	0.299576	+	0.172960i
$782$	−3.87384	−	6.41847i	−0.138528	−	0.229524i
$783$	3.68904			0.131836
$784$	27.4106	+	5.71499i	0.978949	+	0.204107i
$785$	−16.6805			−0.595354
$786$	−26.3520	−	43.6620i	−0.939946	−	1.55737i
$787$	−21.3469	−	12.3246i	−0.760934	−	0.439325i	0.0686971	−	0.997638i	$-0.478116\pi$
$787$	−21.3469	−	12.3246i	−0.760934	−	0.439325i	−0.829631	+	0.558312i	$0.811449\pi$
$788$	25.3958	+	13.3750i	0.904687	+	0.476466i
$789$	17.5636	−	10.1403i	0.625279	−	0.361005i
$790$	−0.410824	−	21.1478i	−0.0146165	−	0.752405i
$791$	−14.1973	−	35.3427i	−0.504799	−	1.25664i
$792$	−1.61932	−	27.7578i	−0.0575402	−	0.986330i
$793$	−23.6220	−	40.9146i	−0.838843	−	1.45292i
$794$	−30.1590	−	16.6398i	−1.07030	−	0.590524i
$795$	13.8487	+	7.99554i	0.491162	+	0.283573i
$796$	−9.10653	−	14.4465i	−0.322772	−	0.512042i
$797$			4.81719i			0.170634i	0.996354	+	0.0853169i	$0.0271903\pi$
$797$			4.81719i			0.170634i	−0.996354	+	0.0853169i	$0.972810\pi$
$798$	1.02707	−	1.36290i	0.0363580	−	0.0482461i
$799$	28.1137			0.994590
$800$	−3.29014	−	4.60163i	−0.116324	−	0.162692i
$801$	12.5398	−	21.7196i	0.443072	−	0.767423i
$802$	8.85853	−	16.0557i	0.312806	−	0.566948i
$803$	25.6159	−	14.7894i	0.903967	−	0.521906i
$804$	2.02021	−	0.0785201i	0.0712473	−	0.00276919i
$805$	0.352329	−	2.47113i	0.0124180	−	0.0870960i
$806$	0.166548	+	8.57334i	0.00586642	+	0.301983i
$807$	9.56018	+	16.5587i	0.336534	+	0.582895i
$808$	47.4724	+	23.8360i	1.67007	+	0.838546i
$809$	−19.4127	+	33.6238i	−0.682515	+	1.18215i	0.291696	+	0.956511i	$0.405781\pi$
$809$	−19.4127	+	33.6238i	−0.682515	+	1.18215i	−0.974211	+	0.225640i	$0.927553\pi$
$810$	−9.65141	+	5.82507i	−0.339116	+	0.204672i
$811$		−	9.16108i		−	0.321689i	−0.986980	−	0.160845i	$-0.948578\pi$
$811$		−	9.16108i		−	0.321689i	0.986980	−	0.160845i	$-0.0514218\pi$
$812$	2.56558	−	24.8750i	0.0900341	−	0.872940i
$813$			19.6206i			0.688125i
$814$	20.3858	+	33.7768i	0.714524	+	1.18388i
$815$	−12.0302	+	20.8369i	−0.421399	+	0.729884i
$816$	−50.9404	−	24.3501i	−1.78327	−	0.852425i
$817$	0.780968	+	1.35268i	0.0273226	+	0.0473242i
$818$	3.92299	−	0.0762093i	0.137164	−	0.00266459i
$819$	25.0086	+	19.6194i	0.873870	+	0.685557i
$820$	0.784013	+	20.1716i	0.0273789	+	0.704421i
$821$	−15.4140	+	8.89925i	−0.537951	+	0.310586i	−0.744248	−	0.667903i	$-0.767192\pi$
$821$	−15.4140	+	8.89925i	−0.537951	+	0.310586i	0.206297	+	0.978489i	$0.433859\pi$
$822$	16.6614	+	9.19269i	0.581133	+	0.320632i
$823$	10.9232	−	18.9195i	0.380758	−	0.659493i	−0.610413	−	0.792084i	$-0.708996\pi$
$823$	10.9232	−	18.9195i	0.380758	−	0.659493i	0.991171	+	0.132591i	$0.0423296\pi$
$824$	15.7858	+	23.9962i	0.549923	+	0.835946i
$825$	7.45921			0.259696
$826$	−4.90101	+	2.08020i	−0.170528	+	0.0723795i
$827$			35.1935i			1.22380i	0.790936	+	0.611899i	$0.209594\pi$
$827$			35.1935i			1.22380i	−0.790936	+	0.611899i	$0.790406\pi$
$828$	3.33126	+	5.28467i	0.115769	+	0.183655i
$829$	−4.26457	−	2.46215i	−0.148115	−	0.0855140i	0.424111	−	0.905610i	$-0.360587\pi$
$829$	−4.26457	−	2.46215i	−0.148115	−	0.0855140i	−0.572226	+	0.820096i	$0.693920\pi$
$830$	2.22125	−	4.02593i	0.0771007	−	0.139742i
$831$	−0.481260	−	0.833566i	−0.0166947	−	0.0289161i
$832$	3.37563	+	28.8334i	0.117029	+	0.999618i
$833$	9.36280	+	38.2015i	0.324402	+	1.32360i
$834$	−26.8509	+	0.521613i	−0.929770	+	0.0180620i
$835$	5.73679	−	3.31214i	0.198530	−	0.114621i
$836$	−0.502432	+	0.953988i	−0.0173770	+	0.0329944i
$837$	1.12958	+	0.652165i	0.0390441	+	0.0225421i
$838$	−30.5793	+	18.4560i	−1.05634	+	0.637552i
$839$	37.2431			1.28578			0.642888	−	0.765961i	$-0.277736\pi$
$839$	37.2431			1.28578			0.642888	+	0.765961i	$0.277736\pi$
$840$	−8.01143	−	17.0064i	−0.276420	−	0.586777i
$841$	6.66620			0.229869
$842$	6.52975	−	3.94100i	0.225030	−	0.135816i
$843$	−44.5861	−	25.7418i	−1.53563	−	0.886595i
$844$	−38.0860	−	20.0585i	−1.31097	−	0.690443i
$845$	0.145597	−	0.0840606i	0.00500870	−	0.00289177i
$846$	−23.4221	+	0.455005i	−0.805269	+	0.0156434i
$847$	−3.56544	+	4.54482i	−0.122510	+	0.156162i
$848$	1.97632	+	25.3855i	0.0678670	+	0.871742i
$849$	7.05243	+	12.2152i	0.242039	+	0.419224i
$850$	3.83873	−	6.95755i	0.131667	−	0.238642i
$851$	−7.67623	−	4.43187i	−0.263138	−	0.151923i
$852$	−13.8377	+	8.72280i	−0.474073	+	0.298838i
$853$		−	28.3400i		−	0.970344i	−0.874419	−	0.485172i	$-0.838757\pi$
$853$		−	28.3400i		−	0.970344i	0.874419	−	0.485172i	$-0.161243\pi$
$854$	−5.93796	+	48.3503i	−0.203193	+	1.65451i
$855$	−0.601096			−0.0205571
$856$	32.1745	−	21.1658i	1.09970	−	0.723433i
$857$	6.95941	−	12.0541i	0.237729	−	0.411759i	−0.722333	−	0.691545i	$-0.756930\pi$
$857$	6.95941	−	12.0541i	0.237729	−	0.411759i	0.960062	+	0.279786i	$0.0902637\pi$
$858$	−33.5168	−	18.4924i	−1.14424	−	0.631321i
$859$	−26.4304	+	15.2596i	−0.901793	+	0.520650i	−0.877781	−	0.479061i	$-0.840977\pi$
$859$	−26.4304	+	15.2596i	−0.901793	+	0.520650i	−0.0240114	+	0.999712i	$0.507644\pi$
$860$	17.1928	−	0.668237i	0.586269	−	0.0227867i
$861$	−9.46908	+	66.4135i	−0.322706	+	2.26337i
$862$	1.45432	−	0.0282521i	0.0495344	−	0.000962270i
$863$	11.2131	+	19.4216i	0.381697	+	0.661119i	0.991305	−	0.131584i	$-0.0420063\pi$
$863$	11.2131	+	19.4216i	0.381697	+	0.661119i	−0.609608	+	0.792703i	$0.708673\pi$
$864$	4.02025	+	1.82667i	0.136772	+	0.0621445i
$865$	−2.33272	+	4.04039i	−0.0793148	+	0.137377i
$866$	9.52205	+	15.7768i	0.323572	+	0.536119i
$867$		−	36.6058i		−	1.24320i
$868$	5.18308	−	7.16315i	0.175925	−	0.243133i
$869$			44.4105i			1.50652i
$870$	−14.3743	+	8.67555i	−0.487334	+	0.294129i
$871$	0.730106	−	1.26458i	0.0247387	−	0.0428487i
$872$	−27.7015	−	13.9090i	−0.938091	−	0.471017i
$873$	−29.1750	−	50.5327i	−0.987426	−	1.71027i
$874$	−0.00470500	−	0.242197i	−0.000159149	−	0.00819245i
$875$	2.45507	−	0.986215i	0.0829966	−	0.0333402i
$876$	1.94381	+	50.0114i	0.0656751	+	1.68973i
$877$	49.3923	−	28.5167i	1.66786	−	0.962940i	0.699072	−	0.715052i	$-0.253597\pi$
$877$	49.3923	−	28.5167i	1.66786	−	0.962940i	0.968789	−	0.247888i	$-0.0797365\pi$
$878$	−5.15200	+	9.33780i	−0.173872	+	0.315136i
$879$	16.9371	−	29.3360i	0.571276	−	0.989478i
$880$	6.71904	+	9.79396i	0.226499	+	0.330154i
$881$	−34.2438			−1.15370			−0.576851	−	0.816849i	$-0.695719\pi$
$881$	−34.2438			−1.15370			−0.576851	+	0.816849i	$0.695719\pi$
$882$	−8.41863	−	31.6750i	−0.283470	−	1.06655i
$883$		−	18.0660i		−	0.607968i	−0.952677	−	0.303984i	$-0.901683\pi$
$883$		−	18.0660i		−	0.607968i	0.952677	−	0.303984i	$-0.0983169\pi$
$884$	−34.4975	+	21.7459i	−1.16028	+	0.731394i
$885$	3.09572	+	1.78731i	0.104061	+	0.0600799i
$886$	−40.9364	−	22.5861i	−1.37529	−	0.758795i
$887$	12.6837	+	21.9689i	0.425878	+	0.737643i	0.996502	−	0.0835690i	$-0.0266319\pi$
$887$	12.6837	+	21.9689i	0.425878	+	0.737643i	−0.570624	+	0.821212i	$0.693299\pi$
$888$	−66.6419	+	3.88773i	−2.23636	+	0.130464i
$889$	−3.85456	−	9.59549i	−0.129278	−	0.321822i
$890$	0.208075	+	10.7110i	0.00697468	+	0.359033i
$891$	20.4979	−	11.8345i	0.686705	−	0.396469i
$892$	−8.96537	+	17.0229i	−0.300183	+	0.569969i
$893$	0.786717	+	0.454211i	0.0263265	+	0.0151996i
$894$	−18.5443	−	30.7256i	−0.620214	−	1.02762i
$895$	25.5248			0.853201
$896$	15.1130	−	25.8379i	0.504890	−	0.863183i
$897$	8.60041			0.287159
$898$	1.73467	+	2.87413i	0.0578866	+	0.0959109i
$899$	−6.83860	−	3.94827i	−0.228080	−	0.131682i
$900$	−3.08553	+	5.85862i	−0.102851	+	0.195287i
$901$	−30.9754	+	17.8837i	−1.03194	+	0.595792i
$902$	−0.823215	−	42.3763i	−0.0274101	−	1.41098i
$903$	56.6061	+	8.07077i	1.88373	+	0.268578i
$904$	−40.6483	+	2.37133i	−1.35194	+	0.0788692i
$905$	−5.71770	−	9.90334i	−0.190063	−	0.329198i
$906$	−36.5324	−	20.1563i	−1.21371	−	0.669647i
$907$	0.239222	+	0.138115i	0.00794323	+	0.00458602i	0.503966	−	0.863723i	$-0.331874\pi$
$907$	0.239222	+	0.138115i	0.00794323	+	0.00458602i	−0.496023	+	0.868309i	$0.665207\pi$
$908$	−18.4716	+	11.6438i	−0.613000	+	0.386413i
$909$		−	62.1787i		−	2.06234i
$910$	−13.4764	−	1.65506i	−0.446740	−	0.0548647i
$911$	−32.7221			−1.08413			−0.542066	−	0.840336i	$-0.682358\pi$
$911$	−32.7221			−1.08413			−0.542066	+	0.840336i	$0.682358\pi$
$912$	−1.03208	−	1.50441i	−0.0341756	−	0.0498158i
$913$	−4.82704	+	8.36069i	−0.159752	+	0.276698i
$914$	−13.3226	+	24.1467i	−0.440673	+	0.798703i
$915$	28.3241	−	16.3529i	0.936366	−	0.540611i
$916$	−0.215930	−	5.55557i	−0.00713453	−	0.183561i
$917$	29.8814	+	23.4422i	0.986771	+	0.774128i
$918$	0.120477	+	6.20176i	0.00397634	+	0.204688i
$919$	−29.1966	−	50.5700i	−0.963106	−	1.66815i	−0.714619	−	0.699514i	$-0.753400\pi$
$919$	−29.1966	−	50.5700i	−0.963106	−	1.66815i	−0.248487	−	0.968635i	$-0.579933\pi$
$920$	−2.38474	−	1.19738i	−0.0786226	−	0.0394765i
$921$	18.6004	−	32.2168i	0.612904	−	1.06158i
$922$	34.6047	−	20.8855i	1.13964	−	0.687827i
$923$			11.8144i			0.388875i
$924$	16.1241	+	36.0268i	0.530446	+	1.18519i
$925$		−	9.39508i		−	0.308908i
$926$	−8.24939	−	13.6682i	−0.271092	−	0.449165i
$927$	16.8104	−	29.1165i	0.552126	−	0.956311i
$928$	−24.3389	−	11.0588i	−0.798965	−	0.363023i
$929$	7.29671	+	12.6383i	0.239397	+	0.414648i	0.960541	−	0.278137i	$-0.0897169\pi$
$929$	7.29671	+	12.6383i	0.239397	+	0.414648i	−0.721144	+	0.692785i	$0.756384\pi$
$930$	−5.93510	+	0.115297i	−0.194620	+	0.00378074i
$931$	−0.355189	+	1.22028i	−0.0116408	+	0.0399929i
$932$	−1.62522	+	0.0631680i	−0.0532360	+	0.00206914i
$933$	21.2207	−	12.2518i	0.694733	−	0.401104i
$934$	45.9518	+	25.3532i	1.50359	+	0.829583i
$935$	−8.34203	+	14.4488i	−0.272814	+	0.472527i
$936$	28.3887	−	18.6753i	0.927912	−	0.610422i
$937$	37.8989			1.23810			0.619051	−	0.785351i	$-0.287517\pi$
$937$	37.8989			1.23810			0.619051	+	0.785351i	$0.287517\pi$
$938$	−1.38596	+	0.588260i	−0.0452530	+	0.0192074i
$939$			26.3339i			0.859373i
$940$	8.46535	−	5.33624i	0.276109	−	0.174049i
$941$	−14.6242	−	8.44330i	−0.476736	−	0.275244i	0.242319	−	0.970197i	$-0.422092\pi$
$941$	−14.6242	−	8.44330i	−0.476736	−	0.275244i	−0.719055	+	0.694953i	$0.755425\pi$
$942$	−28.6279	+	51.8869i	−0.932746	+	1.69057i
$943$	4.76129	+	8.24679i	0.155049	+	0.268552i
$944$	0.441783	+	5.67464i	0.0143788	+	0.184694i
$945$	−1.27477	+	1.62493i	−0.0414682	+	0.0528590i
$946$	−36.1185	+	0.701649i	−1.17431	+	0.0228126i
$947$	−33.8886	+	19.5656i	−1.10123	+	0.635796i	−0.936544	−	0.350549i	$-0.885995\pi$
$947$	−33.8886	+	19.5656i	−1.10123	+	0.635796i	−0.164688	+	0.986346i	$0.552662\pi$
$948$	−66.4880	−	35.0169i	−2.15943	−	1.13729i
$949$	31.3054	+	18.0742i	1.01622	+	0.586713i
$950$	0.219829	−	0.132677i	0.00713219	−	0.00430460i
$951$	32.1397			1.04220
$952$	41.9018	+	3.50069i	1.35804	+	0.113458i
$953$	−35.7504			−1.15807			−0.579035	−	0.815303i	$-0.696570\pi$
$953$	−35.7504			−1.15807			−0.579035	+	0.815303i	$0.696570\pi$
$954$	25.5169	−	15.4006i	0.826140	−	0.498613i
$955$	−7.85330	−	4.53411i	−0.254127	−	0.146720i
$956$	−14.3547	+	27.2558i	−0.464264	+	0.881517i
$957$	30.5285	−	17.6256i	0.986845	−	0.569755i
$958$	20.5782	−	0.399758i	0.664850	−	0.0129156i
$959$	−14.0295	−	2.00030i	−0.453037	−	0.0645930i
$960$	−19.9606	+	2.33686i	−0.644226	+	0.0754219i
$961$	14.1040	+	24.4289i	0.454968	+	0.788028i
$962$	−23.2917	+	42.2153i	−0.750954	+	1.36108i
$963$	−39.0399	−	22.5397i	−1.25804	−	0.726332i
$964$	21.7270	+	34.4674i	0.699778	+	1.11012i
$965$			7.66870i			0.246864i
$966$	−7.08208	−	5.33703i	−0.227862	−	0.171716i
$967$	−31.0198			−0.997531			−0.498766	−	0.866737i	$-0.666213\pi$
$967$	−31.0198			−0.997531			−0.498766	+	0.866737i	$0.666213\pi$
$968$	3.39388	+	5.15908i	0.109083	+	0.165819i
$969$	1.28138	−	2.21942i	0.0411639	−	0.0712980i
$970$	21.8235	+	12.0408i	0.700710	+	0.386607i
$971$	41.0534	−	23.7022i	1.31747	−	0.760640i	0.334146	−	0.942521i	$-0.391552\pi$
$971$	41.0534	−	23.7022i	1.31747	−	0.760640i	0.983321	+	0.181881i	$0.0582186\pi$
$972$	1.73734	+	44.6992i	0.0557251	+	1.43373i
$973$	18.5588	−	7.45516i	0.594968	−	0.239002i
$974$	53.5149	−	1.03960i	1.71473	−	0.0333108i
$975$	4.55798	+	7.89464i	0.145972	+	0.252831i
$976$	46.9849	+	22.4594i	1.50395	+	0.718907i
$977$	17.8724	−	30.9559i	0.571790	−	0.990369i	−0.424593	−	0.905384i	$-0.639583\pi$
$977$	17.8724	−	30.9559i	0.571790	−	0.990369i	0.996382	−	0.0849841i	$-0.0270839\pi$
$978$	44.1690	+	73.1825i	1.41237	+	2.34012i
$979$		−	22.4931i		−	0.718882i
$980$	10.0702	+	9.72575i	0.321682	+	0.310678i
$981$			36.2830i			1.15843i
$982$	−4.04844	+	2.44342i	−0.129191	+	0.0779727i
$983$	−7.86330	+	13.6196i	−0.250800	+	0.434399i	−0.963746	−	0.266820i	$-0.914027\pi$
$983$	−7.86330	+	13.6196i	−0.250800	+	0.434399i	0.712946	+	0.701219i	$0.247360\pi$
$984$	64.0917	+	32.1805i	2.04317	+	1.02588i
$985$	7.17564	+	12.4286i	0.228635	+	0.396007i
$986$	−0.729380	−	37.5460i	−0.0232282	−	1.19571i
$987$	30.8584	−	12.3960i	0.982233	−	0.394568i
$988$	−1.31669	+	0.0511762i	−0.0418895	+	0.00162813i
$989$	7.02897	−	4.05818i	0.223508	−	0.129043i
$990$	6.71609	−	12.1726i	0.213451	−	0.386872i
$991$	−20.5854	+	35.6550i	−0.653917	+	1.13262i	0.328247	+	0.944592i	$0.393542\pi$
$991$	−20.5854	+	35.6550i	−0.653917	+	1.13262i	−0.982164	+	0.188025i	$0.939791\pi$
$992$	−5.49755	−	7.68895i	−0.174547	−	0.244124i
$993$	12.3533			0.392020
$994$	7.33147	−	9.72866i	0.232540	−	0.308574i
$995$		−	8.53858i		−	0.270691i
$996$	−8.71095	−	13.8189i	−0.276017	−	0.437870i
$997$	−22.4284	−	12.9490i	−0.710314	−	0.410100i	0.100863	−	0.994900i	$-0.467840\pi$
$997$	−22.4284	−	12.9490i	−0.710314	−	0.410100i	−0.811177	+	0.584800i	$0.801173\pi$
$998$	13.4827	+	7.43886i	0.426786	+	0.235473i
$999$	3.66693	+	6.35131i	0.116017	+	0.200947i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bl.b.221.20	yes	60
4.3	odd	2		1120.2.cb.b.81.5		60
7.2	even	3	inner	280.2.bl.b.261.19	yes	60
8.3	odd	2		1120.2.cb.b.81.26		60
8.5	even	2	inner	280.2.bl.b.221.19	✓	60
28.23	odd	6		1120.2.cb.b.401.26		60
56.37	even	6	inner	280.2.bl.b.261.20	yes	60
56.51	odd	6		1120.2.cb.b.401.5		60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bl.b.221.19	✓	60	8.5	even	2	inner
280.2.bl.b.221.20	yes	60	1.1	even	1	trivial
280.2.bl.b.261.19	yes	60	7.2	even	3	inner
280.2.bl.b.261.20	yes	60	56.37	even	6	inner
1120.2.cb.b.81.5		60	4.3	odd	2
1120.2.cb.b.81.26		60	8.3	odd	2
1120.2.cb.b.401.5		60	56.51	odd	6
1120.2.cb.b.401.26		60	28.23	odd	6

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bl (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.730761 + 1.21078i) q^{2} +(2.17556 + 1.25606i) q^{3} +(-0.931976 + 1.76958i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.0690023 + 3.55200i) q^{6} +(-0.986215 - 2.45507i) q^{7} +(-2.82363 + 0.164724i) q^{8} +(1.65537 + 2.86718i) q^{9} +O(q^{10})\)	\(q+(0.730761 + 1.21078i) q^{2} +(2.17556 + 1.25606i) q^{3} +(-0.931976 + 1.76958i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.0690023 + 3.55200i) q^{6} +(-0.986215 - 2.45507i) q^{7} +(-2.82363 + 0.164724i) q^{8} +(1.65537 + 2.86718i) q^{9} +(-1.23825 - 0.683186i) q^{10} +(2.57148 + 1.48465i) q^{11} +(-4.25027 + 2.67921i) q^{12} +3.62879i q^{13} +(2.25186 - 2.98816i) q^{14} -2.51212 q^{15} +(-2.26284 - 3.29842i) q^{16} +(2.80944 - 4.86608i) q^{17} +(-2.26185 + 4.09951i) q^{18} +(0.157235 - 0.0907798i) q^{19} +(-0.0776759 - 1.99849i) q^{20} +(0.938147 - 6.57990i) q^{21} +(0.0815598 + 4.19842i) q^{22} +(-0.471723 - 0.817048i) q^{23} +(-6.34987 - 3.18828i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-4.39367 + 2.65178i) q^{26} +0.780607i q^{27} +(5.26358 + 0.542880i) q^{28} -4.72586i q^{29} +(-1.83576 - 3.04162i) q^{30} +(0.835459 - 1.44706i) q^{31} +(2.34006 - 5.15016i) q^{32} +(3.72961 + 6.45987i) q^{33} +(7.94478 - 0.154338i) q^{34} +(2.08162 + 1.63305i) q^{35} +(-6.61648 + 0.257164i) q^{36} +(8.13638 - 4.69754i) q^{37} +(0.224816 + 0.124039i) q^{38} +(-4.55798 + 7.89464i) q^{39} +(2.36297 - 1.55447i) q^{40} -10.0934 q^{41} +(8.65237 - 3.67244i) q^{42} +8.60288i q^{43} +(-5.02376 + 3.16679i) q^{44} +(-2.86718 - 1.65537i) q^{45} +(0.644549 - 1.16822i) q^{46} +(2.50172 + 4.33311i) q^{47} +(-0.779935 - 10.0182i) q^{48} +(-5.05476 + 4.84246i) q^{49} +(1.41395 - 0.0274678i) q^{50} +(12.2242 - 7.05763i) q^{51} +(-6.42144 - 3.38195i) q^{52} +(-5.51275 - 3.18279i) q^{53} +(-0.945144 + 0.570438i) q^{54} -2.96929 q^{55} +(3.18911 + 6.76975i) q^{56} +0.456099 q^{57} +(5.72198 - 3.45348i) q^{58} +(-1.23231 - 0.711476i) q^{59} +(2.34123 - 4.44540i) q^{60} +(-11.2750 + 6.50962i) q^{61} +(2.36259 - 0.0458964i) q^{62} +(5.40659 - 6.89171i) q^{63} +(7.94573 - 0.930236i) q^{64} +(-1.81440 - 3.14262i) q^{65} +(-5.09603 + 9.23635i) q^{66} +(-0.348486 - 0.201198i) q^{67} +(5.99261 + 9.50660i) q^{68} -2.37005i q^{69} +(-0.456091 + 3.71376i) q^{70} +3.25574 q^{71} +(-5.14643 - 7.82317i) q^{72} +(4.98077 - 8.62695i) q^{73} +(11.6334 + 6.41858i) q^{74} +(2.17556 - 1.25606i) q^{75} +(0.0141028 + 0.362845i) q^{76} +(1.10888 - 7.77736i) q^{77} +(-12.8895 + 0.250395i) q^{78} +(7.47829 + 12.9528i) q^{79} +(3.60889 + 1.72509i) q^{80} +(3.98562 - 6.90329i) q^{81} +(-7.37586 - 12.2209i) q^{82} +3.25131i q^{83} +(10.7693 + 7.79243i) q^{84} +5.61887i q^{85} +(-10.4162 + 6.28665i) q^{86} +(5.93596 - 10.2814i) q^{87} +(-7.50546 - 3.76850i) q^{88} +(-3.78762 - 6.56034i) q^{89} +(-0.0909385 - 4.68121i) q^{90} +(8.90894 - 3.57877i) q^{91} +(1.88547 - 0.0732830i) q^{92} +(3.63518 - 2.09877i) q^{93} +(-3.41828 + 6.19550i) q^{94} +(-0.0907798 + 0.157235i) q^{95} +(11.5598 - 8.26521i) q^{96} -17.6245 q^{97} +(-9.55697 - 2.58152i) q^{98} +9.83054i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9}+O(q^{10}) \) 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9	\( 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9} + 2 q^{10} - 10 q^{12} + 20 q^{14} - 22 q^{16} - 12 q^{17} + 6 q^{18} - 16 q^{20} - 28 q^{22} - 2 q^{23} - 32 q^{24} + 30 q^{25} - 4 q^{26} - 22 q^{28} - 6 q^{32} - 16 q^{34} + 20 q^{36} - 42 q^{38} + 4 q^{40} - 36 q^{41} - 62 q^{42} + 14 q^{44} + 28 q^{46} - 30 q^{47} + 124 q^{48} + 12 q^{49} + 8 q^{50} + 8 q^{52} - 40 q^{54} - 44 q^{55} + 8 q^{56} - 32 q^{57} - 14 q^{58} + 14 q^{60} - 16 q^{62} - 74 q^{63} + 4 q^{64} + 2 q^{65} + 60 q^{66} + 28 q^{68} + 10 q^{70} - 8 q^{71} - 72 q^{72} - 52 q^{74} - 12 q^{76} - 40 q^{78} + 32 q^{79} - 22 q^{81} - 16 q^{82} - 8 q^{84} - 44 q^{86} + 48 q^{87} - 16 q^{88} + 4 q^{89} - 48 q^{90} + 84 q^{92} - 56 q^{94} + 2 q^{95} - 16 q^{96} - 96 q^{97} - 80 q^{98}+O(q^{100}) \) 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9 + 2 * q^10 - 10 * q^12 + 20 * q^14 - 22 * q^16 - 12 * q^17 + 6 * q^18 - 16 * q^20 - 28 * q^22 - 2 * q^23 - 32 * q^24 + 30 * q^25 - 4 * q^26 - 22 * q^28 - 6 * q^32 - 16 * q^34 + 20 * q^36 - 42 * q^38 + 4 * q^40 - 36 * q^41 - 62 * q^42 + 14 * q^44 + 28 * q^46 - 30 * q^47 + 124 * q^48 + 12 * q^49 + 8 * q^50 + 8 * q^52 - 40 * q^54 - 44 * q^55 + 8 * q^56 - 32 * q^57 - 14 * q^58 + 14 * q^60 - 16 * q^62 - 74 * q^63 + 4 * q^64 + 2 * q^65 + 60 * q^66 + 28 * q^68 + 10 * q^70 - 8 * q^71 - 72 * q^72 - 52 * q^74 - 12 * q^76 - 40 * q^78 + 32 * q^79 - 22 * q^81 - 16 * q^82 - 8 * q^84 - 44 * q^86 + 48 * q^87 - 16 * q^88 + 4 * q^89 - 48 * q^90 + 84 * q^92 - 56 * q^94 + 2 * q^95 - 16 * q^96 - 96 * q^97 - 80 * q^98

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