LMFDB - Embedded newform 280.2.w.a.43.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(43,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 2, 3, 0]))

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

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

chi := DirichletCharacter("280.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.w (of order $4$, 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:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			43.1
Character	$\chi$	$=$	280.43
Dual form			280.2.w.a.267.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41051 + 0.102291i) q^{2} +(-0.977895 - 0.977895i) q^{3} +(1.97907 - 0.288564i) q^{4} +(-2.23508 - 0.0665977i) q^{5} +(1.47936 + 1.27930i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-2.76198 + 0.609464i) q^{8} -1.08744i q^{9} +O(q^{10})$	\(q+(-1.41051 + 0.102291i) q^{2} +(-0.977895 - 0.977895i) q^{3} +(1.97907 - 0.288564i) q^{4} +(-2.23508 - 0.0665977i) q^{5} +(1.47936 + 1.27930i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-2.76198 + 0.609464i) q^{8} -1.08744i q^{9} +(3.15941 - 0.134691i) q^{10} -0.190002 q^{11} +(-2.21751 - 1.65314i) q^{12} +(-3.83102 + 3.83102i) q^{13} +(-1.06971 - 0.925050i) q^{14} +(2.12054 + 2.25080i) q^{15} +(3.83346 - 1.14218i) q^{16} +(1.66411 - 1.66411i) q^{17} +(0.111235 + 1.53385i) q^{18} +7.16664i q^{19} +(-4.44260 + 0.513162i) q^{20} -1.38295i q^{21} +(0.267999 - 0.0194354i) q^{22} +(-5.10656 + 5.10656i) q^{23} +(3.29692 + 2.10494i) q^{24} +(4.99113 + 0.297702i) q^{25} +(5.01181 - 5.79557i) q^{26} +(-3.99709 + 3.99709i) q^{27} +(1.60346 + 1.19537i) q^{28} -0.389233 q^{29} +(-3.22128 - 2.95786i) q^{30} +5.59194i q^{31} +(-5.29030 + 2.00318i) q^{32} +(0.185802 + 0.185802i) q^{33} +(-2.17702 + 2.51747i) q^{34} +(-1.53335 - 1.62753i) q^{35} +(-0.313797 - 2.15213i) q^{36} +(-0.807349 - 0.807349i) q^{37} +(-0.733082 - 10.1086i) q^{38} +7.49267 q^{39} +(6.21383 - 1.17826i) q^{40} -9.77556 q^{41} +(0.141463 + 1.95067i) q^{42} +(-2.07740 - 2.07740i) q^{43} +(-0.376027 + 0.0548277i) q^{44} +(-0.0724212 + 2.43052i) q^{45} +(6.68050 - 7.72521i) q^{46} +(2.90099 + 2.90099i) q^{47} +(-4.86566 - 2.63179i) q^{48} +1.00000i q^{49} +(-7.07049 + 0.0906354i) q^{50} -3.25466 q^{51} +(-6.47637 + 8.68736i) q^{52} +(3.87887 - 3.87887i) q^{53} +(5.22907 - 6.04680i) q^{54} +(0.424668 + 0.0126537i) q^{55} +(-2.38397 - 1.52206i) q^{56} +(7.00822 - 7.00822i) q^{57} +(0.549017 - 0.0398150i) q^{58} +3.53327i q^{59} +(4.84621 + 3.84258i) q^{60} -10.7990i q^{61} +(-0.572005 - 7.88749i) q^{62} +(0.768938 - 0.768938i) q^{63} +(7.25711 - 3.36666i) q^{64} +(8.81776 - 8.30748i) q^{65} +(-0.281081 - 0.243069i) q^{66} +(7.88947 - 7.88947i) q^{67} +(2.81320 - 3.77361i) q^{68} +9.98737 q^{69} +(2.32928 + 2.13880i) q^{70} -1.44759i q^{71} +(0.662757 + 3.00350i) q^{72} +(-6.73133 - 6.73133i) q^{73} +(1.22136 + 1.05619i) q^{74} +(-4.58968 - 5.17192i) q^{75} +(2.06804 + 14.1833i) q^{76} +(-0.134351 - 0.134351i) q^{77} +(-10.5685 + 0.766432i) q^{78} -9.81369 q^{79} +(-8.64414 + 2.29756i) q^{80} +4.55514 q^{81} +(13.7885 - 0.999951i) q^{82} +(-0.608923 - 0.608923i) q^{83} +(-0.399071 - 2.73696i) q^{84} +(-3.83025 + 3.60860i) q^{85} +(3.14270 + 2.71770i) q^{86} +(0.380629 + 0.380629i) q^{87} +(0.524781 - 0.115799i) q^{88} +16.1054i q^{89} +(-0.146469 - 3.43567i) q^{90} -5.41788 q^{91} +(-8.63269 + 11.5798i) q^{92} +(5.46833 - 5.46833i) q^{93} +(-4.38861 - 3.79512i) q^{94} +(0.477282 - 16.0180i) q^{95} +(7.13226 + 3.21445i) q^{96} +(0.0632673 - 0.0632673i) q^{97} +(-0.102291 - 1.41051i) q^{98} +0.206616i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q + 8 q^{6}+O(q^{10}) $ 72 * q + 8 * q^6	$ 72 q + 8 q^{6} + 16 q^{10} - 16 q^{12} - 8 q^{16} + 8 q^{17} - 28 q^{18} - 20 q^{20} - 36 q^{22} - 8 q^{25} - 32 q^{26} - 4 q^{30} + 40 q^{32} + 64 q^{36} - 4 q^{40} + 20 q^{42} - 64 q^{43} + 48 q^{46} - 80 q^{48} - 32 q^{51} + 16 q^{52} - 24 q^{56} + 4 q^{58} - 80 q^{60} - 40 q^{62} - 8 q^{65} + 32 q^{66} - 24 q^{68} + 40 q^{72} - 40 q^{73} + 112 q^{75} - 8 q^{76} + 28 q^{78} - 20 q^{80} - 72 q^{81} + 24 q^{82} + 80 q^{83} + 8 q^{86} - 88 q^{88} + 136 q^{90} - 96 q^{92} - 56 q^{96} - 8 q^{97}+O(q^{100}) $ 72 * q + 8 * q^6 + 16 * q^10 - 16 * q^12 - 8 * q^16 + 8 * q^17 - 28 * q^18 - 20 * q^20 - 36 * q^22 - 8 * q^25 - 32 * q^26 - 4 * q^30 + 40 * q^32 + 64 * q^36 - 4 * q^40 + 20 * q^42 - 64 * q^43 + 48 * q^46 - 80 * q^48 - 32 * q^51 + 16 * q^52 - 24 * q^56 + 4 * q^58 - 80 * q^60 - 40 * q^62 - 8 * q^65 + 32 * q^66 - 24 * q^68 + 40 * q^72 - 40 * q^73 + 112 * q^75 - 8 * q^76 + 28 * q^78 - 20 * q^80 - 72 * q^81 + 24 * q^82 + 80 * q^83 + 8 * q^86 - 88 * q^88 + 136 * q^90 - 96 * q^92 - 56 * q^96 - 8 * q^97

Display 100 coefficients 10 coefficients

Character values

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

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$-1$	$1$

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 $

$2$	−1.41051	+	0.102291i	−0.997381	+	0.0723306i
$2$	−1.41051	+	0.102291i	−0.997381	+	0.0723306i
$3$	−0.977895	−	0.977895i	−0.564588	−	0.564588i	0.366019	−	0.930607i	$-0.380720\pi$
$3$	−0.977895	−	0.977895i	−0.564588	−	0.564588i	−0.930607	+	0.366019i	$0.880720\pi$
$4$	1.97907	−	0.288564i	0.989537	−	0.144282i
$5$	−2.23508	−	0.0665977i	−0.999556	−	0.0297834i
$5$	−2.23508	−	0.0665977i	−0.999556	−	0.0297834i
$6$	1.47936	+	1.27930i	0.603946	+	0.522272i
$7$	0.707107	+	0.707107i	0.267261	+	0.267261i
$7$	0.707107	+	0.707107i	0.267261	+	0.267261i
$8$	−2.76198	+	0.609464i	−0.976509	+	0.215478i
$9$		−	1.08744i		−	0.362481i
$10$	3.15941	−	0.134691i	0.999093	−	0.0425931i
$11$	−0.190002			−0.0572876			−0.0286438	−	0.999590i	$-0.509119\pi$
$11$	−0.190002			−0.0572876			−0.0286438	+	0.999590i	$0.509119\pi$
$12$	−2.21751	−	1.65314i	−0.640140	−	0.477220i
$13$	−3.83102	+	3.83102i	−1.06253	+	1.06253i	−0.0646238	+	0.997910i	$0.520585\pi$
$13$	−3.83102	+	3.83102i	−1.06253	+	1.06253i	−0.997910	+	0.0646238i	$0.979415\pi$
$14$	−1.06971	−	0.925050i	−0.285892	−	0.247230i
$15$	2.12054	+	2.25080i	0.547522	+	0.581153i
$16$	3.83346	−	1.14218i	0.958365	−	0.285545i
$17$	1.66411	−	1.66411i	0.403607	−	0.403607i	−0.475895	−	0.879502i	$-0.657876\pi$
$17$	1.66411	−	1.66411i	0.403607	−	0.403607i	0.879502	+	0.475895i	$0.157876\pi$
$18$	0.111235	+	1.53385i	0.0262184	+	0.361531i
$19$			7.16664i			1.64414i	0.569386	+	0.822070i	$0.307181\pi$
$19$			7.16664i			1.64414i	−0.569386	+	0.822070i	$0.692819\pi$
$20$	−4.44260	+	0.513162i	−0.993395	+	0.114746i
$21$		−	1.38295i		−	0.301785i
$22$	0.267999	−	0.0194354i	0.0571376	−	0.00414365i
$23$	−5.10656	+	5.10656i	−1.06479	+	1.06479i	−0.0670422	+	0.997750i	$0.521356\pi$
$23$	−5.10656	+	5.10656i	−1.06479	+	1.06479i	−0.997750	+	0.0670422i	$0.978644\pi$
$24$	3.29692	+	2.10494i	0.672981	+	0.429669i
$25$	4.99113	+	0.297702i	0.998226	+	0.0595404i
$26$	5.01181	−	5.79557i	0.982897	−	1.13660i
$27$	−3.99709	+	3.99709i	−0.769240	+	0.769240i
$28$	1.60346	+	1.19537i	0.303026	+	0.225904i
$29$	−0.389233			−0.0722788			−0.0361394	−	0.999347i	$-0.511506\pi$
$29$	−0.389233			−0.0722788			−0.0361394	+	0.999347i	$0.511506\pi$
$30$	−3.22128	−	2.95786i	−0.588123	−	0.540028i
$31$			5.59194i			1.00434i	0.864768	+	0.502171i	$0.167465\pi$
$31$			5.59194i			1.00434i	−0.864768	+	0.502171i	$0.832535\pi$
$32$	−5.29030	+	2.00318i	−0.935201	+	0.354116i
$33$	0.185802	+	0.185802i	0.0323439	+	0.0323439i
$34$	−2.17702	+	2.51747i	−0.373357	+	0.431743i
$35$	−1.53335	−	1.62753i	−0.259183	−	0.275103i
$36$	−0.313797	−	2.15213i	−0.0522995	−	0.358688i
$37$	−0.807349	−	0.807349i	−0.132727	−	0.132727i	0.637622	−	0.770349i	$-0.279918\pi$
$37$	−0.807349	−	0.807349i	−0.132727	−	0.132727i	−0.770349	+	0.637622i	$0.779918\pi$
$38$	−0.733082	−	10.1086i	−0.118922	−	1.63983i
$39$	7.49267			1.19979
$40$	6.21383	−	1.17826i	0.982493	−	0.186299i
$41$	−9.77556			−1.52669			−0.763343	−	0.645993i	$-0.776443\pi$
$41$	−9.77556			−1.52669			−0.763343	+	0.645993i	$0.776443\pi$
$42$	0.141463	+	1.95067i	0.0218283	+	0.300995i
$43$	−2.07740	−	2.07740i	−0.316801	−	0.316801i	0.530736	−	0.847537i	$-0.321916\pi$
$43$	−2.07740	−	2.07740i	−0.316801	−	0.316801i	−0.847537	+	0.530736i	$0.821916\pi$
$44$	−0.376027	+	0.0548277i	−0.0566882	+	0.00826558i
$45$	−0.0724212	+	2.43052i	−0.0107959	+	0.362320i
$46$	6.68050	−	7.72521i	0.984986	−	1.13902i
$47$	2.90099	+	2.90099i	0.423152	+	0.423152i	0.886288	−	0.463135i	$-0.153276\pi$
$47$	2.90099	+	2.90099i	0.423152	+	0.423152i	−0.463135	+	0.886288i	$0.653276\pi$
$48$	−4.86566	−	2.63179i	−0.702297	−	0.379866i
$49$			1.00000i			0.142857i
$50$	−7.07049	+	0.0906354i	−0.999918	+	0.0128178i
$51$	−3.25466			−0.455743
$52$	−6.47637	+	8.68736i	−0.898111	+	1.20472i
$53$	3.87887	−	3.87887i	0.532804	−	0.532804i	−0.388602	−	0.921406i	$-0.627042\pi$
$53$	3.87887	−	3.87887i	0.532804	−	0.532804i	0.921406	+	0.388602i	$0.127042\pi$
$54$	5.22907	−	6.04680i	0.711586	−	0.822865i
$55$	0.424668	+	0.0126537i	0.0572622	+	0.00170622i
$56$	−2.38397	−	1.52206i	−0.318572	−	0.203394i
$57$	7.00822	−	7.00822i	0.928262	−	0.928262i
$58$	0.549017	−	0.0398150i	0.0720894	−	0.00522796i
$59$			3.53327i			0.459993i	0.973191	+	0.229997i	$0.0738715\pi$
$59$			3.53327i			0.459993i	−0.973191	+	0.229997i	$0.926129\pi$
$60$	4.84621	+	3.84258i	0.625643	+	0.496074i
$61$		−	10.7990i		−	1.38267i	−0.722537	−	0.691333i	$-0.757024\pi$
$61$		−	10.7990i		−	1.38267i	0.722537	−	0.691333i	$-0.242976\pi$
$62$	−0.572005	−	7.88749i	−0.0726447	−	1.00171i
$63$	0.768938	−	0.768938i	0.0968771	−	0.0968771i
$64$	7.25711	−	3.36666i	0.907138	−	0.420832i
$65$	8.81776	−	8.30748i	1.09371	−	1.03042i
$66$	−0.281081	−	0.243069i	−0.0345986	−	0.0299197i
$67$	7.88947	−	7.88947i	0.963852	−	0.963852i	−0.0355169	−	0.999369i	$-0.511308\pi$
$67$	7.88947	−	7.88947i	0.963852	−	0.963852i	0.999369	+	0.0355169i	$0.0113078\pi$
$68$	2.81320	−	3.77361i	0.341151	−	0.457617i
$69$	9.98737			1.20234
$70$	2.32928	+	2.13880i	0.278402	+	0.255635i
$71$		−	1.44759i		−	0.171797i	−0.996304	−	0.0858985i	$-0.972624\pi$
$71$		−	1.44759i		−	0.171797i	0.996304	−	0.0858985i	$-0.0273761\pi$
$72$	0.662757	+	3.00350i	0.0781067	+	0.353966i
$73$	−6.73133	−	6.73133i	−0.787843	−	0.787843i	0.193298	−	0.981140i	$-0.438082\pi$
$73$	−6.73133	−	6.73133i	−0.787843	−	0.787843i	−0.981140	+	0.193298i	$0.938082\pi$
$74$	1.22136	+	1.05619i	0.141980	+	0.122779i
$75$	−4.58968	−	5.17192i	−0.529971	−	0.597202i
$76$	2.06804	+	14.1833i	0.237220	+	1.62694i
$77$	−0.134351	−	0.134351i	−0.0153108	−	0.0153108i
$78$	−10.5685	+	0.766432i	−1.19664	+	0.0867813i
$79$	−9.81369			−1.10413			−0.552063	−	0.833802i	$-0.686159\pi$
$79$	−9.81369			−1.10413			−0.552063	+	0.833802i	$0.686159\pi$
$80$	−8.64414	+	2.29756i	−0.966445	+	0.256875i
$81$	4.55514			0.506127
$82$	13.7885	−	0.999951i	1.52269	−	0.110426i
$83$	−0.608923	−	0.608923i	−0.0668380	−	0.0668380i	0.672898	−	0.739736i	$-0.265049\pi$
$83$	−0.608923	−	0.608923i	−0.0668380	−	0.0668380i	−0.739736	+	0.672898i	$0.765049\pi$
$84$	−0.399071	−	2.73696i	−0.0435422	−	0.298627i
$85$	−3.83025	+	3.60860i	−0.415449	+	0.391407i
$86$	3.14270	+	2.71770i	0.338886	+	0.293057i
$87$	0.380629	+	0.380629i	0.0408077	+	0.0408077i
$88$	0.524781	−	0.115799i	0.0559419	−	0.0123442i
$89$			16.1054i			1.70717i	0.520956	+	0.853584i	$0.325576\pi$
$89$			16.1054i			1.70717i	−0.520956	+	0.853584i	$0.674424\pi$
$90$	−0.146469	−	3.43567i	−0.0154392	−	0.362152i
$91$	−5.41788			−0.567948
$92$	−8.63269	+	11.5798i	−0.900020	+	1.20728i
$93$	5.46833	−	5.46833i	0.567040	−	0.567040i
$94$	−4.38861	−	3.79512i	−0.452651	−	0.391437i
$95$	0.477282	−	16.0180i	0.0489681	−	1.64341i
$96$	7.13226	+	3.21445i	0.727933	+	0.328074i
$97$	0.0632673	−	0.0632673i	0.00642382	−	0.00642382i	−0.703888	−	0.710311i	$-0.748554\pi$
$97$	0.0632673	−	0.0632673i	0.00642382	−	0.00642382i	0.710311	+	0.703888i	$0.248554\pi$
$98$	−0.102291	−	1.41051i	−0.0103329	−	0.142483i
$99$			0.206616i			0.0207657i
$100$	9.96372	−	0.851088i	0.996372	−	0.0851088i
$101$		−	8.26466i		−	0.822364i	−0.911553	−	0.411182i	$-0.865116\pi$
$101$		−	8.26466i		−	0.822364i	0.911553	−	0.411182i	$-0.134884\pi$
$102$	4.59073	−	0.332922i	0.454550	−	0.0329642i
$103$	4.02301	−	4.02301i	0.396399	−	0.396399i	−0.480562	−	0.876961i	$-0.659567\pi$
$103$	4.02301	−	4.02301i	0.396399	−	0.396399i	0.876961	+	0.480562i	$0.159567\pi$
$104$	8.24634	−	12.9161i	0.808621	−	1.26653i
$105$	−0.0921015	+	3.09100i	−0.00898819	+	0.301651i
$106$	−5.07441	+	5.86796i	−0.492870	+	0.569946i
$107$	−11.7697	+	11.7697i	−1.13782	+	1.13782i	−0.148974	+	0.988841i	$0.547597\pi$
$107$	−11.7697	+	11.7697i	−1.13782	+	1.13782i	−0.988841	+	0.148974i	$0.952403\pi$
$108$	−6.75712	+	9.06395i	−0.650204	+	0.872179i
$109$	−16.7835			−1.60756			−0.803782	−	0.594924i	$-0.797182\pi$
$109$	−16.7835			−1.60756			−0.803782	+	0.594924i	$0.797182\pi$
$110$	−0.600292	+	0.0255915i	−0.0572356	+	0.00244006i
$111$			1.57900i			0.149872i
$112$	3.51831	+	1.90302i	0.332449	+	0.179819i
$113$	12.0340	+	12.0340i	1.13206	+	1.13206i	0.989834	+	0.142227i	$0.0454263\pi$
$113$	12.0340	+	12.0340i	1.13206	+	1.13206i	0.142227	+	0.989834i	$0.454574\pi$
$114$	−9.16829	+	10.6020i	−0.858689	+	0.992972i
$115$	11.7536	−	11.0735i	1.09603	−	1.03261i
$116$	−0.770321	+	0.112319i	−0.0715225	+	0.0104285i
$117$	4.16601	+	4.16601i	0.385148	+	0.385148i
$118$	−0.361422	−	4.98372i	−0.0332716	−	0.458788i
$119$	2.35341			0.215737
$120$	−7.22869	−	4.92427i	−0.659886	−	0.449522i
$121$	−10.9639			−0.996718
$122$	1.10463	+	15.2320i	0.100009	+	1.37904i
$123$	9.55947	+	9.55947i	0.861949	+	0.861949i
$124$	1.61364	+	11.0669i	0.144909	+	0.993834i
$125$	−11.1357	−	0.997785i	−0.996010	−	0.0892446i
$126$	−1.00594	+	1.16325i	−0.0896161	+	0.103630i
$127$	−1.04181	−	1.04181i	−0.0924458	−	0.0924458i	0.659371	−	0.751817i	$-0.270822\pi$
$127$	−1.04181	−	1.04181i	−0.0924458	−	0.0924458i	−0.751817	+	0.659371i	$0.770822\pi$
$128$	−9.89184	+	5.49104i	−0.874323	+	0.485344i
$129$			4.06297i			0.357724i
$130$	−11.5877	+	12.6198i	−1.01631	+	1.10683i
$131$	−4.45039			−0.388832			−0.194416	−	0.980919i	$-0.562281\pi$
$131$	−4.45039			−0.388832			−0.194416	+	0.980919i	$0.562281\pi$
$132$	0.421331	+	0.314099i	0.0366721	+	0.0273388i
$133$	−5.06758	+	5.06758i	−0.439415	+	0.439415i
$134$	−10.3212	+	11.9352i	−0.891612	+	1.03104i
$135$	9.20000	−	8.66760i	0.791810	−	0.745988i
$136$	−3.58204	+	5.61047i	−0.307157	+	0.481094i
$137$	−0.571011	+	0.571011i	−0.0487848	+	0.0487848i	−0.731078	−	0.682294i	$-0.760983\pi$
$137$	−0.571011	+	0.571011i	−0.0487848	+	0.0487848i	0.682294	+	0.731078i	$0.260983\pi$
$138$	−14.0873	+	1.02162i	−1.19919	+	0.0869658i
$139$			6.22561i			0.528050i	0.964516	+	0.264025i	$0.0850501\pi$
$139$			6.22561i			0.528050i	−0.964516	+	0.264025i	$0.914950\pi$
$140$	−3.50425	−	2.77853i	−0.296163	−	0.234829i
$141$		−	5.67372i		−	0.477813i
$142$	0.148075	+	2.04184i	0.0124262	+	0.171347i
$143$	0.727899	−	0.727899i	0.0608700	−	0.0608700i
$144$	−1.24206	−	4.16867i	−0.103505	−	0.347389i
$145$	0.869965	+	0.0259220i	0.0722467	+	0.00215271i
$146$	10.1832	+	8.80605i	0.842764	+	0.728794i
$147$	0.977895	−	0.977895i	0.0806554	−	0.0806554i
$148$	−1.83077	−	1.36483i	−0.150489	−	0.112188i
$149$	13.1449			1.07687			0.538436	−	0.842666i	$-0.319015\pi$
$149$	13.1449			1.07687			0.538436	+	0.842666i	$0.319015\pi$
$150$	7.00283	+	6.82556i	0.571778	+	0.557305i
$151$			6.94946i			0.565539i	0.959188	+	0.282769i	$0.0912531\pi$
$151$			6.94946i			0.565539i	−0.959188	+	0.282769i	$0.908747\pi$
$152$	−4.36781	−	19.7941i	−0.354276	−	1.60552i
$153$	−1.80963	−	1.80963i	−0.146300	−	0.146300i
$154$	0.203247	+	0.175761i	0.0163781	+	0.0141632i
$155$	0.372411	−	12.4984i	0.0299128	−	1.00390i
$156$	14.8285	−	2.16212i	1.18723	−	0.173108i
$157$	−1.29124	−	1.29124i	−0.103052	−	0.103052i	0.653701	−	0.756753i	$-0.273215\pi$
$157$	−1.29124	−	1.29124i	−0.103052	−	0.103052i	−0.756753	+	0.653701i	$0.773215\pi$
$158$	13.8423	−	1.00385i	1.10123	−	0.0798621i
$159$	−7.58626			−0.601629
$160$	11.9576	−	4.12495i	0.945333	−	0.326106i
$161$	−7.22177			−0.569155
$162$	−6.42507	+	0.465949i	−0.504801	+	0.0366084i
$163$	13.5507	+	13.5507i	1.06138	+	1.06138i	0.997989	+	0.0633870i	$0.0201902\pi$
$163$	13.5507	+	13.5507i	1.06138	+	1.06138i	0.0633870	+	0.997989i	$0.479810\pi$
$164$	−19.3465	+	2.82088i	−1.51071	+	0.220274i
$165$	−0.402907	−	0.427655i	−0.0313662	−	0.0332929i
$166$	0.921179	+	0.796605i	0.0714974	+	0.0618285i
$167$	−14.0581	−	14.0581i	−1.08785	−	1.08785i	−0.995750	−	0.0920998i	$-0.970642\pi$
$167$	−14.0581	−	14.0581i	−1.08785	−	1.08785i	−0.0920998	−	0.995750i	$-0.529358\pi$
$168$	0.842860	+	3.81969i	0.0650280	+	0.294696i
$169$		−	16.3534i		−	1.25795i
$170$	5.03347	−	5.48176i	0.386050	−	0.420432i
$171$	7.79331			0.595969
$172$	−4.71080	−	3.51187i	−0.359195	−	0.267778i
$173$	3.44989	−	3.44989i	0.262290	−	0.262290i	−0.563694	−	0.825984i	$-0.690620\pi$
$173$	3.44989	−	3.44989i	0.262290	−	0.262290i	0.825984	+	0.563694i	$0.190620\pi$
$174$	−0.575816	−	0.497946i	−0.0436525	−	0.0377492i
$175$	3.31875	+	3.73977i	0.250874	+	0.282700i
$176$	−0.728363	+	0.217016i	−0.0549025	+	0.0163582i
$177$	3.45517	−	3.45517i	0.259707	−	0.259707i
$178$	−1.64743	−	22.7168i	−0.123480	−	1.70270i
$179$		−	15.4934i		−	1.15803i	−0.815317	−	0.579015i	$-0.803437\pi$
$179$		−	15.4934i		−	1.15803i	0.815317	−	0.579015i	$-0.196563\pi$
$180$	0.558034	+	4.83107i	0.0415934	+	0.360087i
$181$			7.22988i			0.537392i	0.963225	+	0.268696i	$0.0865928\pi$
$181$			7.22988i			0.537392i	−0.963225	+	0.268696i	$0.913407\pi$
$182$	7.64197	−	0.554200i	0.566460	−	0.0410800i
$183$	−10.5603	+	10.5603i	−0.780636	+	0.780636i
$184$	10.9920	−	17.2165i	0.810340	−	1.26922i
$185$	1.75072	+	1.85825i	0.128715	+	0.136622i
$186$	−7.15378	+	8.27250i	−0.524540	+	0.606569i
$187$	−0.316184	+	0.316184i	−0.0231217	+	0.0231217i
$188$	6.57839	+	4.90414i	0.479778	+	0.357671i
$189$	−5.65274			−0.411176
$190$	0.965283	+	22.6423i	0.0700290	+	1.64265i
$191$			5.11923i			0.370414i	0.982700	+	0.185207i	$0.0592956\pi$
$191$			5.11923i			0.370414i	−0.982700	+	0.185207i	$0.940704\pi$
$192$	−10.3889	−	3.80445i	−0.749756	−	0.274563i
$193$	4.25152	+	4.25152i	0.306031	+	0.306031i	0.843368	−	0.537337i	$-0.180570\pi$
$193$	4.25152	+	4.25152i	0.306031	+	0.306031i	−0.537337	+	0.843368i	$0.680570\pi$
$194$	−0.0827674	+	0.0957108i	−0.00594236	+	0.00687163i
$195$	−16.7467	−	0.498995i	−1.19926	−	0.0357338i
$196$	0.288564	+	1.97907i	0.0206117	+	0.141362i
$197$	13.6475	+	13.6475i	0.972343	+	0.972343i	0.999628	−	0.0272843i	$-0.00868594\pi$
$197$	13.6475	+	13.6475i	0.972343	+	0.972343i	−0.0272843	+	0.999628i	$0.508686\pi$
$198$	−0.0211349	−	0.291433i	−0.00150199	−	0.0207113i
$199$	5.43938			0.385587			0.192794	−	0.981239i	$-0.438245\pi$
$199$	5.43938			0.385587			0.192794	+	0.981239i	$0.438245\pi$
$200$	−13.9669	+	2.21967i	−0.987606	+	0.156954i
$201$	−15.4301			−1.08836
$202$	0.845399	+	11.6574i	0.0594821	+	0.820210i
$203$	−0.275229	−	0.275229i	−0.0193173	−	0.0193173i
$204$	−6.44121	+	0.939179i	−0.450975	+	0.0657557i
$205$	21.8491	+	0.651030i	1.52601	+	0.0454699i
$206$	−5.26298	+	6.08601i	−0.366689	+	0.424032i
$207$	5.55309	+	5.55309i	0.385967	+	0.385967i
$208$	−10.3103	+	19.0618i	−0.714894	+	1.32170i
$209$		−	1.36167i		−	0.0941889i
$210$	−0.186271	−	4.36931i	−0.0128539	−	0.301511i
$211$	19.3842			1.33447			0.667233	−	0.744849i	$-0.267479\pi$
$211$	19.3842			1.33447			0.667233	+	0.744849i	$0.267479\pi$
$212$	6.55727	−	8.79587i	0.450355	−	0.604103i
$213$	−1.41559	+	1.41559i	−0.0969946	+	0.0969946i
$214$	15.3973	−	17.8051i	1.05254	−	1.21713i
$215$	4.50481	+	4.78151i	0.307225	+	0.326096i
$216$	8.60381	−	13.4760i	0.585415	−	0.916924i
$217$	−3.95410	+	3.95410i	−0.268422	+	0.268422i
$218$	23.6732	−	1.71679i	1.60335	−	0.116276i
$219$			13.1651i			0.889613i
$220$	0.844100	−	0.0975015i	0.0569092	−	0.00657355i
$221$			12.7505i			0.857692i
$222$	−0.161518	−	2.22720i	−0.0108404	−	0.149480i
$223$	3.41717	−	3.41717i	0.228831	−	0.228831i	−0.583373	−	0.812204i	$-0.698268\pi$
$223$	3.41717	−	3.41717i	0.228831	−	0.228831i	0.812204	+	0.583373i	$0.198268\pi$
$224$	−5.15727	−	2.32434i	−0.344585	−	0.155302i
$225$	0.323734	−	5.42757i	0.0215823	−	0.361838i
$226$	−18.2050	−	15.7431i	−1.21098	−	1.04721i
$227$	−1.43025	+	1.43025i	−0.0949289	+	0.0949289i	−0.752976	−	0.658048i	$-0.771383\pi$
$227$	−1.43025	+	1.43025i	−0.0949289	+	0.0949289i	0.658048	+	0.752976i	$0.271383\pi$
$228$	11.8475	−	15.8921i	0.784617	−	1.05248i
$229$	−24.9137			−1.64634			−0.823170	−	0.567794i	$-0.807797\pi$
$229$	−24.9137			−1.64634			−0.823170	+	0.567794i	$0.807797\pi$
$230$	−15.4459	+	16.8215i	−1.01847	+	1.10918i
$231$			0.262763i			0.0172885i
$232$	1.07506	−	0.237223i	0.0705808	−	0.0155745i
$233$	−10.6761	−	10.6761i	−0.699413	−	0.699413i	0.264871	−	0.964284i	$-0.414671\pi$
$233$	−10.6761	−	10.6761i	−0.699413	−	0.699413i	−0.964284	+	0.264871i	$0.914671\pi$
$234$	−6.30234	−	5.45005i	−0.411997	−	0.356281i
$235$	−6.29073	−	6.67712i	−0.410362	−	0.435568i
$236$	1.01958	+	6.99261i	0.0663688	+	0.455180i
$237$	9.59676	+	9.59676i	0.623376	+	0.623376i
$238$	−3.31951	+	0.240733i	−0.215172	+	0.0156044i
$239$	11.2248			0.726072			0.363036	−	0.931775i	$-0.381740\pi$
$239$	11.2248			0.726072			0.363036	+	0.931775i	$0.381740\pi$
$240$	10.6998	+	6.20629i	0.690672	+	0.400614i
$241$	0.513121			0.0330530			0.0165265	−	0.999863i	$-0.494739\pi$
$241$	0.513121			0.0330530			0.0165265	+	0.999863i	$0.494739\pi$
$242$	15.4647	−	1.12151i	0.994107	−	0.0720932i
$243$	7.53682	+	7.53682i	0.483487	+	0.483487i
$244$	−3.11620	−	21.3719i	−0.199494	−	1.36820i
$245$	0.0665977	−	2.23508i	0.00425477	−	0.142794i
$246$	−14.4616	−	12.5059i	−0.922036	−	0.797346i
$247$	−27.4555	−	27.4555i	−1.74695	−	1.74695i
$248$	−3.40809	−	15.4449i	−0.216414	−	0.980750i
$249$			1.19093i			0.0754719i
$250$	15.8091	+	0.268301i	0.999856	+	0.0169689i
$251$	3.98170			0.251323			0.125661	−	0.992073i	$-0.459895\pi$
$251$	3.98170			0.251323			0.125661	+	0.992073i	$0.459895\pi$
$252$	1.29990	−	1.74367i	0.0818858	−	0.109841i
$253$	0.970255	−	0.970255i	0.0609994	−	0.0609994i
$254$	1.57605	+	1.36292i	0.0988904	+	0.0855170i
$255$	7.27441	+	0.216753i	0.455541	+	0.0135736i
$256$	13.3908	−	8.75701i	0.836928	−	0.547313i
$257$	−6.51642	+	6.51642i	−0.406483	+	0.406483i	−0.880510	−	0.474027i	$-0.842800\pi$
$257$	−6.51642	+	6.51642i	−0.406483	+	0.406483i	0.474027	+	0.880510i	$0.342800\pi$
$258$	−0.415604	−	5.73085i	−0.0258744	−	0.356787i
$259$		−	1.14176i		−	0.0709457i
$260$	15.0537	−	18.9856i	0.933593	−	1.17744i
$261$			0.423268i			0.0261997i
$262$	6.27731	−	0.455234i	0.387814	−	0.0281244i
$263$	−4.84321	+	4.84321i	−0.298645	+	0.298645i	−0.840483	−	0.541838i	$-0.817729\pi$
$263$	−4.84321	+	4.84321i	−0.298645	+	0.298645i	0.541838	+	0.840483i	$0.317729\pi$
$264$	−0.626420	−	0.399942i	−0.0385535	−	0.0246147i
$265$	−8.92790	+	8.41125i	−0.548436	+	0.516699i
$266$	6.62950	−	7.66624i	0.406481	−	0.470047i
$267$	15.7494	−	15.7494i	0.963846	−	0.963846i
$268$	13.3372	−	17.8905i	0.814700	−	1.09283i
$269$	5.88042			0.358535			0.179268	−	0.983800i	$-0.442627\pi$
$269$	5.88042			0.358535			0.179268	+	0.983800i	$0.442627\pi$
$270$	−12.0901	+	13.1668i	−0.735778	+	0.801307i
$271$		−	12.0871i		−	0.734239i	−0.930174	−	0.367119i	$-0.880344\pi$
$271$		−	12.0871i		−	0.734239i	0.930174	−	0.367119i	$-0.119656\pi$
$272$	4.47860	−	8.28003i	0.271555	−	0.502051i
$273$	5.29812	+	5.29812i	0.320657	+	0.320657i
$274$	0.747007	−	0.863826i	0.0451284	−	0.0521856i
$275$	−0.948322	−	0.0565638i	−0.0571860	−	0.00341093i
$276$	19.7657	−	2.88200i	1.18976	−	0.173476i
$277$	−0.956631	−	0.956631i	−0.0574784	−	0.0574784i	0.677783	−	0.735262i	$-0.262941\pi$
$277$	−0.956631	−	0.956631i	−0.0574784	−	0.0574784i	−0.735262	+	0.677783i	$0.762941\pi$
$278$	−0.636823	−	8.78128i	−0.0381941	−	0.526666i
$279$	6.08092			0.364055
$280$	5.22700	+	3.56069i	0.312373	+	0.212792i
$281$	−16.9850			−1.01324			−0.506621	−	0.862169i	$-0.669106\pi$
$281$	−16.9850			−1.01324			−0.506621	+	0.862169i	$0.669106\pi$
$282$	0.580370	+	8.00284i	0.0345605	+	0.476562i
$283$	−7.53917	−	7.53917i	−0.448157	−	0.448157i	0.446584	−	0.894742i	$-0.352640\pi$
$283$	−7.53917	−	7.53917i	−0.448157	−	0.448157i	−0.894742	+	0.446584i	$0.852640\pi$
$284$	−0.417722	−	2.86488i	−0.0247873	−	0.170000i
$285$	−16.1306	+	15.1972i	−0.955497	+	0.900203i
$286$	−0.952251	+	1.10117i	−0.0563078	+	0.0651133i
$287$	−6.91237	−	6.91237i	−0.408024	−	0.408024i
$288$	2.17835	+	5.75289i	0.128360	+	0.338993i
$289$			11.4614i			0.674203i
$290$	−1.22975	+	0.0524262i	−0.0722132	+	0.00307857i
$291$	−0.123738			−0.00725362
$292$	−15.2642	−	11.3794i	−0.893271	−	0.665927i
$293$	21.2315	−	21.2315i	1.24036	−	1.24036i	0.280505	−	0.959853i	$-0.409498\pi$
$293$	21.2315	−	21.2315i	1.24036	−	1.24036i	0.959853	−	0.280505i	$-0.0905020\pi$
$294$	−1.27930	+	1.47936i	−0.0746103	+	0.0862780i
$295$	0.235308	−	7.89714i	0.0137002	−	0.459789i
$296$	2.72193	+	1.73783i	0.158209	+	0.101010i
$297$	0.759453	−	0.759453i	0.0440679	−	0.0440679i
$298$	−18.5410	+	1.34460i	−1.07405	+	0.0778908i
$299$		−	39.1267i		−	2.26275i
$300$	−10.5757	−	8.91119i	−0.610591	−	0.514488i
$301$		−	2.93789i		−	0.169337i
$302$	−0.710866	−	9.80227i	−0.0409057	−	0.564058i
$303$	−8.08197	+	8.08197i	−0.464297	+	0.464297i
$304$	8.18559	+	27.4730i	0.469476	+	1.57569i
$305$	−0.719186	+	24.1365i	−0.0411805	+	1.38205i
$306$	2.73761	+	2.36739i	0.156499	+	0.135335i
$307$	−8.98616	+	8.98616i	−0.512867	+	0.512867i	−0.915404	−	0.402537i	$-0.868129\pi$
$307$	−8.98616	+	8.98616i	−0.512867	+	0.512867i	0.402537	+	0.915404i	$0.368129\pi$
$308$	−0.304660	−	0.227122i	−0.0173596	−	0.0129415i
$309$	−7.86816			−0.447604
$310$	0.753185	+	17.6672i	0.0427780	+	1.00343i
$311$			18.6142i			1.05551i	0.849395	+	0.527757i	$0.176967\pi$
$311$			18.6142i			1.05551i	−0.849395	+	0.527757i	$0.823033\pi$
$312$	−20.6946	+	4.56651i	−1.17160	+	0.258528i
$313$	−14.0127	−	14.0127i	−0.792045	−	0.792045i	0.189782	−	0.981826i	$-0.439222\pi$
$313$	−14.0127	−	14.0127i	−0.792045	−	0.792045i	−0.981826	+	0.189782i	$0.939222\pi$
$314$	1.95339	+	1.68922i	0.110236	+	0.0953284i
$315$	−1.76984	+	1.66743i	−0.0997194	+	0.0939488i
$316$	−19.4220	+	2.83188i	−1.09257	+	0.159306i
$317$	19.3688	+	19.3688i	1.08786	+	1.08786i	0.995749	+	0.0921118i	$0.0293617\pi$
$317$	19.3688	+	19.3688i	1.08786	+	1.08786i	0.0921118	+	0.995749i	$0.470638\pi$
$318$	10.7005	−	0.776005i	0.600054	−	0.0435162i
$319$	0.0739549			0.00414068
$320$	−16.4444	+	7.04143i	−0.919270	+	0.393628i
$321$	23.0190			1.28479
$322$	10.1864	−	0.738721i	0.567665	−	0.0411673i
$323$	11.9261	+	11.9261i	0.663586	+	0.663586i
$324$	9.01496	−	1.31445i	0.500831	−	0.0730251i
$325$	−20.2616	+	17.9806i	−1.12391	+	0.997385i
$326$	−20.4996	−	17.7273i	−1.13537	−	0.981826i
$327$	16.4125	+	16.4125i	0.907611	+	0.907611i
$328$	26.9999	−	5.95785i	1.49082	−	0.328967i
$329$			4.10261i			0.226184i
$330$	0.612049	+	0.561997i	0.0336922	+	0.0309369i
$331$	−8.50554			−0.467507			−0.233753	−	0.972296i	$-0.575101\pi$
$331$	−8.50554			−0.467507			−0.233753	+	0.972296i	$0.575101\pi$
$332$	−1.38082	−	1.02939i	−0.0757822	−	0.0564951i
$333$	−0.877945	+	0.877945i	−0.0481111	+	0.0481111i
$334$	21.2671	+	18.3911i	1.16368	+	1.00632i
$335$	−18.1590	+	17.1081i	−0.992131	+	0.934718i
$336$	−1.57958	−	5.30149i	−0.0861732	−	0.289220i
$337$	23.2419	−	23.2419i	1.26607	−	1.26607i	0.317962	−	0.948104i	$-0.397002\pi$
$337$	23.2419	−	23.2419i	1.26607	−	1.26607i	0.948104	−	0.317962i	$-0.102998\pi$
$338$	1.67280	+	23.0666i	0.0909886	+	1.25466i
$339$		−	23.5359i		−	1.27830i
$340$	−6.53903	+	8.24695i	−0.354629	+	0.447254i
$341$		−	1.06248i		−	0.0575364i
$342$	−10.9925	+	0.797184i	−0.594408	+	0.0431068i
$343$	−0.707107	+	0.707107i	−0.0381802	+	0.0381802i
$344$	7.00386	+	4.47165i	0.377623	+	0.241095i
$345$	−22.3225	−	0.665136i	−1.20180	−	0.0358097i
$346$	−4.51320	+	5.21899i	−0.242631	+	0.280575i
$347$	−10.5611	+	10.5611i	−0.566950	+	0.566950i	−0.931273	−	0.364323i	$-0.881301\pi$
$347$	−10.5611	+	10.5611i	−0.566950	+	0.566950i	0.364323	+	0.931273i	$0.381301\pi$
$348$	0.863129	+	0.643457i	0.0462686	+	0.0344929i
$349$	11.9701			0.640747			0.320374	−	0.947291i	$-0.396192\pi$
$349$	11.9701			0.640747			0.320374	+	0.947291i	$0.396192\pi$
$350$	−5.06368	−	4.93550i	−0.270665	−	0.263814i
$351$		−	30.6259i		−	1.63469i
$352$	1.00516	−	0.380608i	0.0535755	−	0.0202865i
$353$	13.8829	+	13.8829i	0.738912	+	0.738912i	0.972368	−	0.233455i	$-0.0750033\pi$
$353$	13.8829	+	13.8829i	0.738912	+	0.738912i	−0.233455	+	0.972368i	$0.575003\pi$
$354$	−4.52012	+	5.22698i	−0.240242	+	0.277811i
$355$	−0.0964061	+	3.23547i	−0.00511670	+	0.171721i
$356$	4.64744	+	31.8737i	0.246314	+	1.68930i
$357$	−2.30139	−	2.30139i	−0.121803	−	0.121803i
$358$	1.58483	+	21.8536i	0.0837609	+	1.15500i
$359$	−23.4677			−1.23858			−0.619290	−	0.785162i	$-0.712579\pi$
$359$	−23.4677			−1.23858			−0.619290	+	0.785162i	$0.712579\pi$
$360$	−1.28129	−	6.75718i	−0.0675297	−	0.356135i
$361$	−32.3607			−1.70320
$362$	−0.739550	−	10.1978i	−0.0388699	−	0.535985i
$363$	10.7215	+	10.7215i	0.562735	+	0.562735i
$364$	−10.7224	+	1.56341i	−0.562005	+	0.0819448i
$365$	14.5967	+	15.4933i	0.764028	+	0.810958i
$366$	13.8151	−	15.9755i	0.722128	−	0.835055i
$367$	−7.44229	−	7.44229i	−0.388484	−	0.388484i	0.485662	−	0.874147i	$-0.338578\pi$
$367$	−7.44229	−	7.44229i	−0.388484	−	0.388484i	−0.874147	+	0.485662i	$0.838578\pi$
$368$	−13.7432	+	25.4084i	−0.716414	+	1.32451i
$369$			10.6304i			0.553394i
$370$	−2.65949	−	2.44200i	−0.138260	−	0.126954i
$371$	5.48555			0.284796
$372$	9.24427	−	12.4002i	0.479293	−	0.642921i
$373$	−15.4169	+	15.4169i	−0.798258	+	0.798258i	−0.982821	−	0.184563i	$-0.940913\pi$
$373$	−15.4169	+	15.4169i	−0.798258	+	0.798258i	0.184563	+	0.982821i	$0.440913\pi$
$374$	0.413638	−	0.478324i	0.0213887	−	0.0247335i
$375$	9.91384	+	11.8653i	0.511949	+	0.612722i
$376$	−9.78052	−	6.24443i	−0.504392	−	0.322032i
$377$	1.49116	−	1.49116i	0.0767986	−	0.0767986i
$378$	7.97324	−	0.578224i	0.410099	−	0.0297406i
$379$			13.4167i			0.689172i	0.938755	+	0.344586i	$0.111981\pi$
$379$			13.4167i			0.689172i	−0.938755	+	0.344586i	$0.888019\pi$
$380$	−3.67764	−	31.8385i	−0.188659	−	1.63328i
$381$			2.03757i			0.104388i
$382$	−0.523650	−	7.22072i	−0.0267923	−	0.369444i
$383$	8.01467	−	8.01467i	0.409531	−	0.409531i	−0.472044	−	0.881575i	$-0.656484\pi$
$383$	8.01467	−	8.01467i	0.409531	−	0.409531i	0.881575	+	0.472044i	$0.156484\pi$
$384$	15.0428	+	4.30352i	0.767652	+	0.219613i
$385$	0.291338	+	0.309233i	0.0148480	+	0.0157600i
$386$	−6.43170	−	5.56192i	−0.327365	−	0.283094i
$387$	−2.25906	+	2.25906i	−0.114834	+	0.114834i
$388$	0.106954	−	0.143467i	0.00542976	−	0.00728345i
$389$	2.27653			0.115425			0.0577124	−	0.998333i	$-0.481619\pi$
$389$	2.27653			0.115425			0.0577124	+	0.998333i	$0.481619\pi$
$390$	23.6724	−	1.00920i	1.19870	−	0.0511026i
$391$			16.9958i			0.859515i
$392$	−0.609464	−	2.76198i	−0.0307826	−	0.139501i
$393$	4.35201	+	4.35201i	0.219530	+	0.219530i
$394$	−20.6459	−	17.8539i	−1.04013	−	0.899466i
$395$	21.9343	+	0.653570i	1.10364	+	0.0328847i
$396$	0.0596219	+	0.408908i	0.00299612	+	0.0205484i
$397$	16.0025	+	16.0025i	0.803141	+	0.803141i	0.983585	−	0.180444i	$-0.0577535\pi$
$397$	16.0025	+	16.0025i	0.803141	+	0.803141i	−0.180444	+	0.983585i	$0.557754\pi$
$398$	−7.67230	+	0.556399i	−0.384577	+	0.0278898i
$399$	9.91112			0.496177
$400$	19.4733	−	4.55954i	0.973667	−	0.227977i
$401$	25.0082			1.24885			0.624424	−	0.781085i	$-0.285334\pi$
$401$	25.0082			1.24885			0.624424	+	0.781085i	$0.285334\pi$
$402$	21.7644	−	1.57836i	1.08551	−	0.0787216i
$403$	−21.4228	−	21.4228i	−1.06715	−	1.06715i
$404$	−2.38489	−	16.3564i	−0.118653	−	0.813759i
$405$	−10.1811	−	0.303362i	−0.505902	−	0.0150742i
$406$	0.416367	+	0.360060i	0.0206639	+	0.0178695i
$407$	0.153397	+	0.153397i	0.00760363	+	0.00760363i
$408$	8.98931	−	1.98360i	0.445037	−	0.0982027i
$409$			33.9619i			1.67931i	0.543122	+	0.839654i	$0.317242\pi$
$409$			33.9619i			1.67931i	−0.543122	+	0.839654i	$0.682758\pi$
$410$	−30.8850	+	1.31668i	−1.52530	+	0.0650262i
$411$	1.11678			0.0550866
$412$	6.80093	−	9.12273i	0.335058	−	0.449445i
$413$	−2.49840	+	2.49840i	−0.122938	+	0.122938i
$414$	−8.40072	−	7.26466i	−0.412873	−	0.357039i
$415$	1.32044	+	1.40154i	0.0648177	+	0.0687990i
$416$	12.5930	−	27.9415i	0.617422	−	1.36994i
$417$	6.08800	−	6.08800i	0.298130	−	0.298130i
$418$	0.139287	+	1.92065i	0.00681273	+	0.0939422i
$419$		−	19.1122i		−	0.933690i	−0.884339	−	0.466845i	$-0.845391\pi$
$419$		−	19.1122i		−	0.933690i	0.884339	−	0.466845i	$-0.154609\pi$
$420$	0.709678	+	6.14390i	0.0346287	+	0.299792i
$421$		−	3.35409i		−	0.163468i	−0.996654	−	0.0817341i	$-0.973954\pi$
$421$		−	3.35409i		−	0.163468i	0.996654	−	0.0817341i	$-0.0260458\pi$
$422$	−27.3417	+	1.98283i	−1.33097	+	0.0965227i
$423$	3.15466	−	3.15466i	0.153385	−	0.153385i
$424$	−8.34935	+	13.0774i	−0.405480	+	0.635095i
$425$	8.80122	−	7.81040i	0.426922	−	0.378860i
$426$	1.85190	−	2.14150i	0.0897248	−	0.103756i
$427$	7.63602	−	7.63602i	0.369533	−	0.369533i
$428$	−19.8967	+	26.6893i	−0.961743	+	1.29008i
$429$	−1.42362			−0.0687330
$430$	−6.84318	−	6.28356i	−0.330007	−	0.303020i
$431$			30.2273i			1.45600i	0.685579	+	0.727998i	$0.259549\pi$
$431$			30.2273i			1.45600i	−0.685579	+	0.727998i	$0.740451\pi$
$432$	−10.7573	+	19.8881i	−0.517560	+	0.956866i
$433$	−9.18648	−	9.18648i	−0.441474	−	0.441474i	0.451033	−	0.892507i	$-0.351056\pi$
$433$	−9.18648	−	9.18648i	−0.441474	−	0.441474i	−0.892507	+	0.451033i	$0.851056\pi$
$434$	5.17283	−	5.98177i	0.248304	−	0.287134i
$435$	−0.825386	−	0.876084i	−0.0395742	−	0.0420050i
$436$	−33.2157	+	4.84311i	−1.59074	+	0.231943i
$437$	−36.5969	−	36.5969i	−1.75067	−	1.75067i
$438$	−1.34667	−	18.5695i	−0.0643462	−	0.887283i
$439$	3.23073			0.154194			0.0770971	−	0.997024i	$-0.475435\pi$
$439$	3.23073			0.154194			0.0770971	+	0.997024i	$0.475435\pi$
$440$	−1.18064	+	0.223870i	−0.0562847	+	0.0106726i
$441$	1.08744			0.0517830
$442$	−1.30426	−	17.9847i	−0.0620373	−	0.855445i
$443$	−0.267232	−	0.267232i	−0.0126966	−	0.0126966i	0.700730	−	0.713427i	$-0.252858\pi$
$443$	−0.267232	−	0.267232i	−0.0126966	−	0.0126966i	−0.713427	+	0.700730i	$0.752858\pi$
$444$	0.455645	+	3.12497i	0.0216239	+	0.148304i
$445$	1.07258	−	35.9968i	0.0508453	−	1.70641i
$446$	−4.47040	+	5.16949i	−0.211680	+	0.244783i
$447$	−12.8543	−	12.8543i	−0.607989	−	0.607989i
$448$	7.51214	+	2.75096i	0.354915	+	0.129971i
$449$		−	5.60587i		−	0.264558i	−0.991213	−	0.132279i	$-0.957771\pi$
$449$		−	5.60587i		−	0.264558i	0.991213	−	0.132279i	$-0.0422294\pi$
$450$	0.0985608	+	7.68875i	0.00464620	+	0.362451i
$451$	1.85737			0.0874602
$452$	27.2887	+	20.3435i	1.28355	+	0.956880i
$453$	6.79584	−	6.79584i	0.319296	−	0.319296i
$454$	1.87108	−	2.16368i	0.0878139	−	0.101546i
$455$	12.1094	+	0.360819i	0.567696	+	0.0169154i
$456$	−15.0853	+	23.6279i	−0.706436	+	1.10648i
$457$	22.0740	−	22.0740i	1.03258	−	1.03258i	0.0331292	−	0.999451i	$-0.489453\pi$
$457$	22.0740	−	22.0740i	1.03258	−	1.03258i	0.999451	−	0.0331292i	$-0.0105473\pi$
$458$	35.1409	−	2.54844i	1.64203	−	0.119081i
$459$			13.3032i			0.620941i
$460$	20.0659	−	25.3069i	0.935578	−	1.17994i
$461$		−	23.0782i		−	1.07486i	−0.843309	−	0.537429i	$-0.819396\pi$
$461$		−	23.0782i		−	1.07486i	0.843309	−	0.537429i	$-0.180604\pi$
$462$	−0.0268783	−	0.370630i	−0.00125049	−	0.0172433i
$463$	−11.6894	+	11.6894i	−0.543253	+	0.543253i	−0.924481	−	0.381228i	$-0.875501\pi$
$463$	−11.6894	+	11.6894i	−0.543253	+	0.543253i	0.381228	+	0.924481i	$0.375501\pi$
$464$	−1.49211	+	0.444574i	−0.0692695	+	0.0206388i
$465$	−12.5863	+	11.8580i	−0.583677	+	0.549900i
$466$	16.1508	+	13.9666i	0.748170	+	0.646992i
$467$	−6.35715	+	6.35715i	−0.294174	+	0.294174i	−0.838727	−	0.544553i	$-0.816699\pi$
$467$	−6.35715	+	6.35715i	−0.294174	+	0.294174i	0.544553	+	0.838727i	$0.316699\pi$
$468$	9.44701	+	7.04268i	0.436688	+	0.325548i
$469$	11.1574			0.515201
$470$	9.55614	+	8.77466i	0.440792	+	0.404745i
$471$			2.52539i			0.116364i
$472$	−2.15340	−	9.75885i	−0.0991184	−	0.449187i
$473$	0.394710	+	0.394710i	0.0181488	+	0.0181488i
$474$	−14.5180	−	12.5547i	−0.666833	−	0.576654i
$475$	−2.13352	+	35.7696i	−0.0978928	+	1.64122i
$476$	4.65758	−	0.679111i	0.213480	−	0.0311270i
$477$	−4.21805	−	4.21805i	−0.193131	−	0.193131i
$478$	−15.8327	+	1.14819i	−0.724170	+	0.0525172i
$479$	24.5578			1.12208			0.561038	−	0.827790i	$-0.310402\pi$
$479$	24.5578			1.12208			0.561038	+	0.827790i	$0.310402\pi$
$480$	−15.7271	−	7.65954i	−0.717839	−	0.349609i
$481$	6.18594			0.282054
$482$	−0.723761	+	0.0524875i	−0.0329664	+	0.00239074i
$483$	7.06214	+	7.06214i	0.321338	+	0.321338i
$484$	−21.6984	+	3.16379i	−0.986289	+	0.143809i
$485$	−0.145621	+	0.137194i	−0.00661229	+	0.00622965i
$486$	−11.4017	−	9.85981i	−0.517192	−	0.447250i
$487$	−25.1500	−	25.1500i	−1.13966	−	1.13966i	−0.988512	−	0.151144i	$-0.951704\pi$
$487$	−25.1500	−	25.1500i	−1.13966	−	1.13966i	−0.151144	−	0.988512i	$-0.548296\pi$
$488$	6.58158	+	29.8266i	0.297934	+	1.35018i
$489$		−	26.5024i		−	1.19848i
$490$	0.134691	+	3.15941i	0.00608472	+	0.142728i
$491$	−14.6432			−0.660838			−0.330419	−	0.943834i	$-0.607190\pi$
$491$	−14.6432			−0.660838			−0.330419	+	0.943834i	$0.607190\pi$
$492$	21.6774	+	16.1604i	0.977294	+	0.728566i
$493$	−0.647728	+	0.647728i	−0.0291722	+	0.0291722i
$494$	41.5347	+	35.9178i	1.86874	+	1.61602i
$495$	0.0137601	−	0.461802i	0.000618472	−	0.0207564i
$496$	6.38701	+	21.4365i	0.286785	+	0.962527i
$497$	1.02360	−	1.02360i	0.0459147	−	0.0459147i
$498$	−0.121821	−	1.67981i	−0.00545892	−	0.0752742i
$499$			27.9633i			1.25181i	0.779899	+	0.625905i	$0.215270\pi$
$499$			27.9633i			1.25181i	−0.779899	+	0.625905i	$0.784730\pi$
$500$	−22.3263	+	1.23869i	−0.998464	+	0.0553957i
$501$			27.4947i			1.22837i
$502$	−5.61623	+	0.407292i	−0.250665	+	0.0181783i
$503$	1.54942	−	1.54942i	0.0690854	−	0.0690854i	−0.671720	−	0.740805i	$-0.734444\pi$
$503$	1.54942	−	1.54942i	0.0690854	−	0.0690854i	0.740805	+	0.671720i	$0.234444\pi$
$504$	−1.65515	+	2.59243i	−0.0737264	+	0.115476i
$505$	−0.550407	+	18.4721i	−0.0244928	+	0.821999i
$506$	−1.26931	+	1.46780i	−0.0564275	+	0.0652518i
$507$	−15.9919	+	15.9919i	−0.710226	+	0.710226i
$508$	−2.36245	−	1.76119i	−0.104817	−	0.0781403i
$509$	−7.36059			−0.326253			−0.163126	−	0.986605i	$-0.552158\pi$
$509$	−7.36059			−0.326253			−0.163126	+	0.986605i	$0.552158\pi$
$510$	−10.2828	+	0.438374i	−0.455330	+	0.0194115i
$511$		−	9.51954i		−	0.421120i
$512$	−17.9922	+	13.7216i	−0.795148	+	0.606415i
$513$	−28.6457	−	28.6457i	−1.26474	−	1.26474i
$514$	8.52491	−	9.85805i	0.376018	−	0.434820i
$515$	−9.25966	+	8.72381i	−0.408029	+	0.384417i
$516$	1.17243	+	8.04091i	0.0516133	+	0.353981i
$517$	−0.551192	−	0.551192i	−0.0242414	−	0.0242414i
$518$	0.116792	+	1.61047i	0.00513154	+	0.0707599i
$519$	−6.74725			−0.296172
$520$	−19.2914	+	28.3192i	−0.845983	+	1.24188i
$521$	22.1558			0.970664			0.485332	−	0.874330i	$-0.338699\pi$
$521$	22.1558			0.970664			0.485332	+	0.874330i	$0.338699\pi$
$522$	−0.0432965	−	0.597024i	−0.00189504	−	0.0261310i
$523$	−4.03905	−	4.03905i	−0.176616	−	0.176616i	0.613263	−	0.789879i	$-0.289857\pi$
$523$	−4.03905	−	4.03905i	−0.176616	−	0.176616i	−0.789879	+	0.613263i	$0.789857\pi$
$524$	−8.80764	+	1.28422i	−0.384763	+	0.0561015i
$525$	0.411708	−	6.90250i	0.0179684	−	0.301250i
$526$	6.33597	−	7.32680i	0.276262	−	0.319464i
$527$	9.30563	+	9.30563i	0.405360	+	0.405360i
$528$	0.924482	+	0.500044i	0.0402329	+	0.0217616i
$529$		−	29.1540i		−	1.26757i
$530$	11.7325	−	12.7774i	0.509627	−	0.555014i
$531$	3.84223			0.166739
$532$	−8.56679	+	11.4914i	−0.371417	+	0.498217i
$533$	37.4504	−	37.4504i	1.62216	−	1.62216i
$534$	−20.6036	+	23.8257i	−0.891606	+	1.03104i
$535$	27.0899	−	25.5222i	1.17120	−	1.10342i
$536$	−16.9822	+	26.5989i	−0.733521	+	1.14890i
$537$	−15.1509	+	15.1509i	−0.653810	+	0.653810i
$538$	−8.29438	+	0.601513i	−0.357596	+	0.0259331i
$539$		−	0.190002i		−	0.00818394i
$540$	15.7063	−	19.8086i	0.675892	−	0.852427i
$541$		−	15.3515i		−	0.660013i	−0.943979	−	0.330007i	$-0.892949\pi$
$541$		−	15.3515i		−	0.660013i	0.943979	−	0.330007i	$-0.107051\pi$
$542$	1.23640	+	17.0490i	0.0531079	+	0.732316i
$543$	7.07006	−	7.07006i	0.303405	−	0.303405i
$544$	−5.47013	+	12.1372i	−0.234530	+	0.520378i
$545$	37.5123	+	1.11774i	1.60685	+	0.0478787i
$546$	−8.01499	−	6.93109i	−0.343010	−	0.296623i
$547$	−30.8931	+	30.8931i	−1.32090	+	1.32090i	−0.407844	+	0.913052i	$0.633719\pi$
$547$	−30.8931	+	30.8931i	−1.32090	+	1.32090i	−0.913052	+	0.407844i	$0.866281\pi$
$548$	−0.965299	+	1.29485i	−0.0412355	+	0.0553131i
$549$	−11.7432			−0.501190
$550$	1.34340	−	0.0172209i	0.0572829	−	0.000734300i
$551$		−	2.78949i		−	0.118836i
$552$	−27.5849	+	6.08694i	−1.17409	+	0.259077i
$553$	−6.93933	−	6.93933i	−0.295090	−	0.295090i
$554$	1.44719	+	1.25148i	0.0614853	+	0.0531704i
$555$	0.105158	−	3.52920i	0.00446371	−	0.149806i
$556$	1.79649	+	12.3209i	0.0761882	+	0.522524i
$557$	−2.52914	−	2.52914i	−0.107163	−	0.107163i	0.651492	−	0.758655i	$-0.274143\pi$
$557$	−2.52914	−	2.52914i	−0.107163	−	0.107163i	−0.758655	+	0.651492i	$0.774143\pi$
$558$	−8.57719	+	0.622022i	−0.363101	+	0.0263323i
$559$	15.9172			0.673224
$560$	−7.73695	−	4.48771i	−0.326946	−	0.189640i
$561$	0.618390			0.0261084
$562$	23.9576	−	1.73741i	1.01059	−	0.0732884i
$563$	−8.99685	−	8.99685i	−0.379172	−	0.379172i	0.491631	−	0.870803i	$-0.336401\pi$
$563$	−8.99685	−	8.99685i	−0.379172	−	0.379172i	−0.870803	+	0.491631i	$0.836401\pi$
$564$	−1.63723	−	11.2287i	−0.0689400	−	0.472814i
$565$	−26.0954	−	27.6983i	−1.09784	−	1.16528i
$566$	11.4053	+	9.86288i	0.479399	+	0.414568i
$567$	3.22097	+	3.22097i	0.135268	+	0.135268i
$568$	0.882253	+	3.99821i	0.0370185	+	0.167761i
$569$		−	22.7081i		−	0.951974i	−0.879452	−	0.475987i	$-0.842091\pi$
$569$		−	22.7081i		−	0.951974i	0.879452	−	0.475987i	$-0.157909\pi$
$570$	21.1979	−	23.0858i	0.887882	−	0.966957i
$571$	33.3350			1.39503			0.697514	−	0.716571i	$-0.254290\pi$
$571$	33.3350			1.39503			0.697514	+	0.716571i	$0.254290\pi$
$572$	1.23052	−	1.65061i	0.0514506	−	0.0690156i
$573$	5.00607	−	5.00607i	0.209131	−	0.209131i
$574$	10.4570	+	9.04288i	0.436468	+	0.377443i
$575$	−27.0078	+	23.9673i	−1.12630	+	0.999505i
$576$	−3.66105	−	7.89169i	−0.152544	−	0.328820i
$577$	24.8923	−	24.8923i	1.03628	−	1.03628i	0.0369654	−	0.999317i	$-0.488231\pi$
$577$	24.8923	−	24.8923i	1.03628	−	1.03628i	0.999317	−	0.0369654i	$-0.0117691\pi$
$578$	−1.17240	−	16.1665i	−0.0487655	−	0.672437i
$579$		−	8.31508i		−	0.345563i
$580$	1.72921	−	0.199739i	0.0718013	−	0.00829373i
$581$		−	0.861147i		−	0.0357264i
$582$	0.174533	−	0.0126572i	0.00723462	−	0.000524659i
$583$	−0.736991	+	0.736991i	−0.0305231	+	0.0305231i
$584$	22.6943	+	14.4893i	0.939098	+	0.599572i
$585$	−9.03391	−	9.58880i	−0.373506	−	0.396448i
$586$	−27.7754	+	32.1190i	−1.14739	+	1.32682i
$587$	15.8631	−	15.8631i	0.654739	−	0.654739i	−0.299391	−	0.954130i	$-0.596784\pi$
$587$	15.8631	−	15.8631i	0.654739	−	0.654739i	0.954130	+	0.299391i	$0.0967836\pi$
$588$	1.65314	−	2.21751i	0.0681744	−	0.0914486i
$589$	−40.0755			−1.65128
$590$	0.475901	+	11.1631i	0.0195925	+	0.459576i
$591$		−	26.6916i		−	1.09795i
$592$	−4.01708	−	2.17280i	−0.165101	−	0.0893016i
$593$	23.5609	+	23.5609i	0.967529	+	0.967529i	0.999489	−	0.0319602i	$-0.0101750\pi$
$593$	23.5609	+	23.5609i	0.967529	+	0.967529i	−0.0319602	+	0.999489i	$0.510175\pi$
$594$	−0.993531	+	1.14890i	−0.0407651	+	0.0471400i
$595$	−5.26006	−	0.156732i	−0.215641	−	0.00642538i
$596$	26.0147	−	3.79315i	1.06561	−	0.155374i
$597$	−5.31914	−	5.31914i	−0.217698	−	0.217698i
$598$	4.00230	+	55.1886i	0.163666	+	2.25683i
$599$	41.1389			1.68089			0.840444	−	0.541898i	$-0.182294\pi$
$599$	41.1389			1.68089			0.840444	+	0.541898i	$0.182294\pi$
$600$	15.8287	+	11.4875i	0.646205	+	0.468976i
$601$	27.8723			1.13694			0.568468	−	0.822705i	$-0.307536\pi$
$601$	27.8723			1.13694			0.568468	+	0.822705i	$0.307536\pi$
$602$	0.300520	+	4.14393i	0.0122483	+	0.168894i
$603$	−8.57934	−	8.57934i	−0.349378	−	0.349378i
$604$	2.00537	+	13.7535i	0.0815972	+	0.559621i
$605$	24.5051	+	0.730171i	0.996276	+	0.0296857i
$606$	10.5730	−	12.2264i	0.429498	−	0.496664i
$607$	26.2644	+	26.2644i	1.06604	+	1.06604i	0.997659	+	0.0683798i	$0.0217830\pi$
$607$	26.2644	+	26.2644i	1.06604	+	1.06604i	0.0683798	+	0.997659i	$0.478217\pi$
$608$	−14.3561	−	37.9137i	−0.582217	−	1.53760i
$609$			0.538291i			0.0218126i
$610$	−1.45452	−	34.1183i	−0.0588920	−	1.38141i
$611$	−22.2275			−0.899227
$612$	−4.10358	−	3.05919i	−0.165877	−	0.123661i
$613$	1.36058	−	1.36058i	0.0549533	−	0.0549533i	−0.679096	−	0.734049i	$-0.737628\pi$
$613$	1.36058	−	1.36058i	0.0549533	−	0.0549533i	0.734049	+	0.679096i	$0.237628\pi$
$614$	11.7559	−	13.5943i	0.474428	−	0.548620i
$615$	−20.7295	−	22.0028i	−0.835894	−	0.887238i
$616$	0.452959	+	0.289194i	0.0182502	+	0.0116520i
$617$	−31.0294	+	31.0294i	−1.24919	+	1.24919i	−0.293119	+	0.956076i	$0.594693\pi$
$617$	−31.0294	+	31.0294i	−1.24919	+	1.24919i	−0.956076	+	0.293119i	$0.905307\pi$
$618$	11.0981	−	0.804841i	0.446432	−	0.0323755i
$619$		−	35.2030i		−	1.41493i	−0.706750	−	0.707463i	$-0.749839\pi$
$619$		−	35.2030i		−	1.41493i	0.706750	−	0.707463i	$-0.250161\pi$
$620$	−2.86957	−	24.8428i	−0.115245	−	0.997709i
$621$		−	40.8228i		−	1.63816i
$622$	−1.90406	−	26.2555i	−0.0763459	−	1.05275i
$623$	−11.3882	+	11.3882i	−0.456260	+	0.456260i
$624$	28.7229	−	8.55798i	1.14983	−	0.342593i
$625$	24.8227	+	2.97174i	0.992910	+	0.118870i
$626$	21.1984	+	18.3317i	0.847259	+	0.732681i
$627$	−1.33157	+	1.33157i	−0.0531779	+	0.0531779i
$628$	−2.92806	−	2.18285i	−0.116842	−	0.0871052i
$629$	−2.68704			−0.107139
$630$	2.32582	−	2.53296i	0.0926629	−	0.100915i
$631$		−	12.2938i		−	0.489410i	−0.969598	−	0.244705i	$-0.921309\pi$
$631$		−	12.2938i		−	0.489410i	0.969598	−	0.244705i	$-0.0786912\pi$
$632$	27.1052	−	5.98109i	1.07819	−	0.237915i
$633$	−18.9558	−	18.9558i	−0.753424	−	0.753424i
$634$	−29.3011	−	25.3386i	−1.16370	−	1.00633i
$635$	2.25915	+	2.39791i	0.0896515	+	0.0951582i
$636$	−15.0138	+	2.18912i	−0.595334	+	0.0868044i
$637$	−3.83102	−	3.83102i	−0.151790	−	0.151790i
$638$	−0.104314	+	0.00756491i	−0.00412983	+	0.000299498i
$639$	−1.57417			−0.0622731
$640$	22.4747	−	11.6141i	0.888391	−	0.459088i
$641$	18.1021			0.714990			0.357495	−	0.933915i	$-0.383631\pi$
$641$	18.1021			0.714990			0.357495	+	0.933915i	$0.383631\pi$
$642$	−32.4685	+	2.35463i	−1.28143	+	0.0929299i
$643$	−5.87658	−	5.87658i	−0.231750	−	0.231750i	0.581673	−	0.813423i	$-0.302398\pi$
$643$	−5.87658	−	5.87658i	−0.231750	−	0.231750i	−0.813423	+	0.581673i	$0.802398\pi$
$644$	−14.2924	+	2.08395i	−0.563200	+	0.0821190i
$645$	0.270584	−	9.08104i	0.0106543	−	0.357566i
$646$	−18.0418	−	15.6020i	−0.709846	−	0.613851i
$647$	28.7326	+	28.7326i	1.12959	+	1.12959i	0.990243	+	0.139351i	$0.0445015\pi$
$647$	28.7326	+	28.7326i	1.12959	+	1.12959i	0.139351	+	0.990243i	$0.455499\pi$
$648$	−12.5812	+	2.77619i	−0.494237	+	0.109059i
$649$		−	0.671327i		−	0.0263519i
$650$	26.7399	−	27.4344i	1.04883	−	1.07607i
$651$	7.73339			0.303096
$652$	30.7282	+	22.9076i	1.20341	+	0.897133i
$653$	−14.0740	+	14.0740i	−0.550759	+	0.550759i	−0.926660	−	0.375901i	$-0.877333\pi$
$653$	−14.0740	+	14.0740i	−0.550759	+	0.550759i	0.375901	+	0.926660i	$0.377333\pi$
$654$	−24.8288	−	21.4711i	−0.970882	−	0.839586i
$655$	9.94695	+	0.296386i	0.388660	+	0.0115807i
$656$	−37.4742	+	11.1655i	−1.46312	+	0.435938i
$657$	−7.31993	+	7.31993i	−0.285578	+	0.285578i
$658$	−0.419660	−	5.78678i	−0.0163600	−	0.225592i
$659$			30.7363i			1.19732i	0.801005	+	0.598658i	$0.204299\pi$
$659$			30.7363i			1.19732i	−0.801005	+	0.598658i	$0.795701\pi$
$660$	−0.920788	−	0.730095i	−0.0358416	−	0.0284189i
$661$			15.9721i			0.621245i	0.950533	+	0.310622i	$0.100537\pi$
$661$			15.9721i			0.621245i	−0.950533	+	0.310622i	$0.899463\pi$
$662$	11.9971	−	0.870039i	0.466282	−	0.0338150i
$663$	12.4687	−	12.4687i	0.484242	−	0.484242i
$664$	2.05295	+	1.31072i	0.0796700	+	0.0508658i
$665$	11.6639	−	10.9889i	0.452307	−	0.426133i
$666$	1.14854	−	1.32816i	0.0445052	−	0.0514650i
$667$	1.98764	−	1.98764i	0.0769619	−	0.0769619i
$668$	−31.8787	−	23.7654i	−1.23342	−	0.919510i
$669$	−6.68327			−0.258390
$670$	23.8634	−	25.9887i	0.921924	−	1.00403i
$671$			2.05182i			0.0792096i
$672$	2.77031	+	7.31623i	0.106867	+	0.282230i
$673$	−10.2352	−	10.2352i	−0.394537	−	0.394537i	0.481764	−	0.876301i	$-0.339996\pi$
$673$	−10.2352	−	10.2352i	−0.394537	−	0.394537i	−0.876301	+	0.481764i	$0.839996\pi$
$674$	−30.4054	+	35.1603i	−1.17117	+	1.35432i
$675$	−21.1399	+	18.7601i	−0.813676	+	0.722075i
$676$	−4.71901	−	32.3646i	−0.181501	−	1.24479i
$677$	19.7505	+	19.7505i	0.759073	+	0.759073i	0.976154	−	0.217081i	$-0.0696535\pi$
$677$	19.7505	+	19.7505i	0.759073	+	0.759073i	−0.217081	+	0.976154i	$0.569654\pi$
$678$	2.40751	+	33.1976i	0.0924599	+	1.27495i
$679$	0.0894735			0.00343368
$680$	8.37977	−	12.3013i	0.321350	−	0.471733i
$681$	2.79726			0.107191
$682$	0.108682	+	1.49864i	0.00416164	+	0.0573857i
$683$	−25.8382	−	25.8382i	−0.988672	−	0.988672i	0.0112646	−	0.999937i	$-0.496414\pi$
$683$	−25.8382	−	25.8382i	−0.988672	−	0.988672i	−0.999937	+	0.0112646i	$0.996414\pi$
$684$	15.4235	−	2.24887i	0.589733	−	0.0859878i
$685$	1.31428	−	1.23823i	0.0502161	−	0.0473101i
$686$	0.925050	−	1.06971i	0.0353186	−	0.0408418i
$687$	24.3629	+	24.3629i	0.929504	+	0.929504i
$688$	−10.3364	−	5.59088i	−0.394072	−	0.213150i
$689$			29.7201i			1.13224i
$690$	31.5542	−	1.34521i	1.20125	−	0.0512113i
$691$	−2.86884			−0.109136			−0.0545680	−	0.998510i	$-0.517378\pi$
$691$	−2.86884			−0.109136			−0.0545680	+	0.998510i	$0.517378\pi$
$692$	5.83206	−	7.82309i	0.221702	−	0.297389i
$693$	−0.146099	+	0.146099i	−0.00554986	+	0.00554986i
$694$	13.8162	−	15.9769i	0.524457	−	0.606473i
$695$	0.414612	−	13.9147i	0.0157271	−	0.527815i
$696$	−1.28327	−	0.819312i	−0.0486423	−	0.0310559i
$697$	−16.2676	+	16.2676i	−0.616181	+	0.616181i
$698$	−16.8840	+	1.22444i	−0.639069	+	0.0463456i
$699$			20.8802i			0.789761i
$700$	7.64722	+	6.44360i	0.289038	+	0.243545i
$701$		−	12.7081i		−	0.479978i	−0.970776	−	0.239989i	$-0.922856\pi$
$701$		−	12.7081i		−	0.479978i	0.970776	−	0.239989i	$-0.0771438\pi$
$702$	3.13275	+	43.1981i	0.118238	+	1.63041i
$703$	5.78598	−	5.78598i	0.218222	−	0.218222i
$704$	−1.37886	+	0.639670i	−0.0519678	+	0.0241085i
$705$	−0.377857	+	12.6812i	−0.0142309	+	0.477602i
$706$	−21.0021	−	18.1619i	−0.790423	−	0.683531i
$707$	5.84399	−	5.84399i	0.219786	−	0.219786i
$708$	5.84100	−	7.83508i	0.219518	−	0.294460i
$709$	37.1155			1.39390			0.696951	−	0.717118i	$-0.254539\pi$
$709$	37.1155			1.39390			0.696951	+	0.717118i	$0.254539\pi$
$710$	−0.194977	−	4.57352i	−0.00731737	−	0.171641i
$711$			10.6718i			0.400225i
$712$	−9.81565	−	44.4828i	−0.367857	−	1.66706i
$713$	−28.5556	−	28.5556i	−1.06942	−	1.06942i
$714$	3.48154	+	3.01072i	0.130294	+	0.112673i
$715$	−1.67539	+	1.57843i	−0.0626559	+	0.0590301i
$716$	−4.47084	−	30.6625i	−0.167083	−	1.14591i
$717$	−10.9767	−	10.9767i	−0.409931	−	0.409931i
$718$	33.1015	−	2.40054i	1.23534	−	0.0895872i
$719$	−46.7100			−1.74199			−0.870995	−	0.491292i	$-0.836525\pi$
$719$	−46.7100			−1.74199			−0.870995	+	0.491292i	$0.836525\pi$
$720$	2.49846	+	9.40001i	0.0931123	+	0.350318i
$721$	5.68939			0.211884
$722$	45.6451	−	3.31021i	1.69874	−	0.123193i
$723$	−0.501778	−	0.501778i	−0.0186613	−	0.0186613i
$724$	2.08628	+	14.3085i	0.0775362	+	0.531769i
$725$	−1.94271	−	0.115875i	−0.0721505	−	0.00430351i
$726$	−16.2196	−	14.0261i	−0.601964	−	0.520558i
$727$	6.77143	+	6.77143i	0.251138	+	0.251138i	0.821437	−	0.570299i	$-0.193173\pi$
$727$	6.77143	+	6.77143i	0.251138	+	0.251138i	−0.570299	+	0.821437i	$0.693173\pi$
$728$	14.9641	−	3.30200i	0.554606	−	0.122380i
$729$		−	28.4059i		−	1.05207i
$730$	−22.1737	−	20.3604i	−0.820684	−	0.753571i
$731$	−6.91408			−0.255726
$732$	−17.8522	+	23.9468i	−0.659836	+	0.885100i
$733$	−23.0830	+	23.0830i	−0.852590	+	0.852590i	−0.990451	−	0.137862i	$-0.955977\pi$
$733$	−23.0830	+	23.0830i	−0.852590	+	0.852590i	0.137862	+	0.990451i	$0.455977\pi$
$734$	11.2587	+	9.73614i	0.415566	+	0.359367i
$735$	−2.25080	+	2.12054i	−0.0830218	+	0.0782175i
$736$	16.7859	−	37.2446i	0.618735	−	1.37286i
$737$	−1.49901	+	1.49901i	−0.0552168	+	0.0552168i
$738$	−1.08739	−	14.9942i	−0.0400273	−	0.551945i
$739$			25.7840i			0.948479i	0.880396	+	0.474240i	$0.157277\pi$
$739$			25.7840i			0.948479i	−0.880396	+	0.474240i	$0.842723\pi$
$740$	4.00103	+	3.17242i	0.147081	+	0.116621i
$741$			53.6973i			1.97262i
$742$	−7.73742	+	0.561122i	−0.284050	+	0.0205994i
$743$	−5.02261	+	5.02261i	−0.184262	+	0.184262i	−0.793210	−	0.608948i	$-0.791592\pi$
$743$	−5.02261	+	5.02261i	−0.184262	+	0.184262i	0.608948	+	0.793210i	$0.291592\pi$
$744$	−11.7707	+	18.4362i	−0.431535	+	0.675904i
$745$	−29.3799	−	0.875421i	−1.07640	−	0.0320730i
$746$	20.1687	−	23.3227i	0.738429	−	0.853905i
$747$	−0.662169	+	0.662169i	−0.0242275	+	0.0242275i
$748$	−0.534512	+	0.716991i	−0.0195437	+	0.0262158i
$749$	−16.6448			−0.608188
$750$	−15.1973	−	15.7220i	−0.554926	−	0.574087i
$751$			21.8883i			0.798714i	0.916795	+	0.399357i	$0.130767\pi$
$751$			21.8883i			0.798714i	−0.916795	+	0.399357i	$0.869233\pi$
$752$	14.4343	+	7.80737i	0.526364	+	0.284705i
$753$	−3.89369	−	3.89369i	−0.141894	−	0.141894i
$754$	−1.95076	+	2.25583i	−0.0710426	+	0.0821523i
$755$	0.462818	−	15.5326i	0.0168437	−	0.565288i
$756$	−11.1872	+	1.63118i	−0.406874	+	0.0593254i
$757$	25.7512	+	25.7512i	0.935944	+	0.935944i	0.998068	−	0.0621241i	$-0.0197874\pi$
$757$	25.7512	+	25.7512i	0.935944	+	0.935944i	−0.0621241	+	0.998068i	$0.519787\pi$
$758$	−1.37241	−	18.9244i	−0.0498482	−	0.687367i
$759$	−1.89762			−0.0688791
$760$	8.44414	+	44.5323i	0.306301	+	1.61536i
$761$	41.0284			1.48728			0.743639	−	0.668581i	$-0.233098\pi$
$761$	41.0284			1.48728			0.743639	+	0.668581i	$0.233098\pi$
$762$	−0.208424	−	2.87400i	−0.00755042	−	0.104114i
$763$	−11.8677	−	11.8677i	−0.429639	−	0.429639i
$764$	1.47723	+	10.1313i	0.0534442	+	0.366538i
$765$	3.92414	+	4.16517i	0.141878	+	0.150592i
$766$	−10.4849	+	12.1246i	−0.378836	+	0.438079i
$767$	−13.5360	−	13.5360i	−0.488758	−	0.488758i
$768$	−21.6583	−	4.53141i	−0.781526	−	0.163513i
$769$			2.58142i			0.0930883i	0.998916	+	0.0465441i	$0.0148208\pi$
$769$			2.58142i			0.0930883i	−0.998916	+	0.0465441i	$0.985179\pi$
$770$	−0.442567	−	0.406375i	−0.0159490	−	0.0146447i
$771$	12.7448			0.458991
$772$	9.64090	+	7.18723i	0.346984	+	0.258674i
$773$	−18.9207	+	18.9207i	−0.680532	+	0.680532i	−0.960120	−	0.279588i	$-0.909802\pi$
$773$	−18.9207	+	18.9207i	−0.680532	+	0.680532i	0.279588	+	0.960120i	$0.409802\pi$
$774$	2.95534	−	3.41750i	0.106228	−	0.122840i
$775$	−1.66473	+	27.9101i	−0.0597990	+	1.00256i
$776$	−0.136184	+	0.213302i	−0.00488872	+	0.00765711i
$777$	−1.11652	+	1.11652i	−0.0400551	+	0.0400551i
$778$	−3.21107	+	0.232869i	−0.115123	+	0.00834874i
$779$		−	70.0579i		−	2.51009i
$780$	−33.2869	+	3.84495i	−1.19186	+	0.137671i
$781$			0.275044i			0.00984185i
$782$	−1.73852	−	23.9728i	−0.0621692	−	0.857264i
$783$	1.55580	−	1.55580i	0.0555997	−	0.0555997i
$784$	1.14218	+	3.83346i	0.0407922	+	0.136909i
$785$	2.80002	+	2.97201i	0.0999371	+	0.106076i
$786$	−6.58372	−	5.69338i	−0.234834	−	0.203076i
$787$	−4.86216	+	4.86216i	−0.173317	+	0.173317i	−0.788435	−	0.615118i	$-0.789108\pi$
$787$	−4.86216	+	4.86216i	−0.173317	+	0.173317i	0.615118	+	0.788435i	$0.289108\pi$
$788$	30.9476	+	23.0712i	1.10246	+	0.821878i
$789$	9.47230			0.337223
$790$	−31.0054	+	1.32182i	−1.10312	+	0.0470281i
$791$			17.0186i			0.605112i
$792$	−0.125925	−	0.570669i	−0.00447454	−	0.0202778i
$793$	41.3710	+	41.3710i	1.46913	+	1.46913i
$794$	−24.2085	−	20.9347i	−0.859129	−	0.742946i
$795$	16.9559	+	0.505228i	0.601363	+	0.0179186i
$796$	10.7649	−	1.56961i	0.381553	−	0.0556334i
$797$	5.82096	+	5.82096i	0.206189	+	0.206189i	0.802645	−	0.596457i	$-0.203425\pi$
$797$	5.82096	+	5.82096i	0.206189	+	0.206189i	−0.596457	+	0.802645i	$0.703425\pi$
$798$	−13.9797	+	1.01382i	−0.494877	+	0.0358887i
$799$	9.65514			0.341574
$800$	−27.0009	+	8.42322i	−0.954626	+	0.297806i
$801$	17.5137			0.618815
$802$	−35.2743	+	2.55811i	−1.24558	+	0.0903299i
$803$	1.27896	+	1.27896i	0.0451336	+	0.0451336i
$804$	−30.5374	+	4.45259i	−1.07697	+	0.157031i
$805$	16.1412	+	0.480954i	0.568903	+	0.0169514i
$806$	32.4085	+	28.0258i	1.14154	+	0.987165i
$807$	−5.75043	−	5.75043i	−0.202425	−	0.202425i
$808$	5.03701	+	22.8268i	0.177201	+	0.803046i
$809$		−	0.720009i		−	0.0253142i	−0.999920	−	0.0126571i	$-0.995971\pi$
$809$		−	0.720009i		−	0.0253142i	0.999920	−	0.0126571i	$-0.00402898\pi$
$810$	14.3916	−	0.613537i	0.505668	−	0.0215575i
$811$	46.2131			1.62276			0.811381	−	0.584517i	$-0.198716\pi$
$811$	46.2131			1.62276			0.811381	+	0.584517i	$0.198716\pi$
$812$	−0.624120	−	0.465278i	−0.0219023	−	0.0163280i
$813$	−11.8199	+	11.8199i	−0.414542	+	0.414542i
$814$	−0.232060	−	0.200677i	−0.00813369	−	0.00703374i
$815$	−29.3845	−	31.1894i	−1.02929	−	1.09252i
$816$	−12.4766	+	3.71741i	−0.436769	+	0.130135i
$817$	14.8880	−	14.8880i	0.520866	−	0.520866i
$818$	−3.47399	−	47.9036i	−0.121465	−	1.67491i
$819$			5.89163i			0.205870i
$820$	43.4289	−	5.01644i	1.51660	−	0.175182i
$821$		−	4.68294i		−	0.163436i	−0.996655	−	0.0817179i	$-0.973959\pi$
$821$		−	4.68294i		−	0.163436i	0.996655	−	0.0817179i	$-0.0260407\pi$
$822$	−1.57523	+	0.114236i	−0.0549423	+	0.00398444i
$823$	−27.5402	+	27.5402i	−0.959990	+	0.959990i	−0.999230	−	0.0392395i	$-0.987506\pi$
$823$	−27.5402	+	27.5402i	−0.959990	+	0.959990i	0.0392395	+	0.999230i	$0.487506\pi$
$824$	−8.65961	+	13.5634i	−0.301672	+	0.472502i
$825$	0.872046	+	0.982673i	0.0303607	+	0.0342123i
$826$	3.26846	−	3.77958i	0.113724	−	0.131509i
$827$	−29.9928	+	29.9928i	−1.04295	+	1.04295i	−0.0439155	+	0.999035i	$0.513983\pi$
$827$	−29.9928	+	29.9928i	−1.04295	+	1.04295i	−0.999035	+	0.0439155i	$0.986017\pi$
$828$	12.5924	+	9.38755i	0.437616	+	0.326240i
$829$	38.3026			1.33030			0.665152	−	0.746708i	$-0.268367\pi$
$829$	38.3026			1.33030			0.665152	+	0.746708i	$0.268367\pi$
$830$	−2.00585	−	1.84182i	−0.0696242	−	0.0639305i
$831$			1.87097i			0.0649032i
$832$	−14.9044	+	40.6999i	−0.516716	+	1.41101i
$833$	1.66411	+	1.66411i	0.0576581	+	0.0576581i
$834$	−7.96443	+	9.20992i	−0.275786	+	0.318913i
$835$	30.4847	+	32.3572i	1.05497	+	1.11977i
$836$	−0.392930	−	2.69485i	−0.0135898	−	0.0932033i
$837$	−22.3515	−	22.3515i	−0.772581	−	0.772581i
$838$	1.95500	+	26.9579i	0.0675343	+	0.931244i
$839$	−27.0712			−0.934603			−0.467301	−	0.884098i	$-0.654774\pi$
$839$	−27.0712			−0.934603			−0.467301	+	0.884098i	$0.654774\pi$
$840$	−1.62947	−	8.59343i	−0.0562221	−	0.296502i
$841$	−28.8485			−0.994776
$842$	0.343093	+	4.73097i	0.0118238	+	0.163040i
$843$	16.6096	+	16.6096i	0.572064	+	0.572064i
$844$	38.3628	−	5.59360i	1.32050	−	0.192540i
$845$	−1.08910	+	36.5511i	−0.0374662	+	1.25740i
$846$	−4.12698	+	4.77236i	−0.141888	+	0.164077i
$847$	−7.75265	−	7.75265i	−0.266384	−	0.266384i
$848$	10.4391	−	19.2999i	0.358481	−	0.662760i
$849$			14.7450i			0.506048i
$850$	−11.6153	+	11.9169i	−0.398400	+	0.408747i
$851$	8.24556			0.282654
$852$	−2.39307	+	3.21004i	−0.0819851	+	0.109974i
$853$	−5.58882	+	5.58882i	−0.191357	+	0.191357i	−0.796282	−	0.604925i	$-0.793203\pi$
$853$	−5.58882	+	5.58882i	−0.191357	+	0.191357i	0.604925	+	0.796282i	$0.293203\pi$
$854$	−9.98958	+	11.5518i	−0.341836	+	0.395293i
$855$	−17.4186	−	0.519017i	−0.595705	−	0.0177500i
$856$	25.3344	−	39.6808i	0.865912	−	1.35626i
$857$	−33.5432	+	33.5432i	−1.14581	+	1.14581i	−0.158446	+	0.987368i	$0.550648\pi$
$857$	−33.5432	+	33.5432i	−1.14581	+	1.14581i	−0.987368	+	0.158446i	$0.949352\pi$
$858$	2.00803	−	0.145623i	0.0685529	−	0.00497149i
$859$			27.1224i			0.925406i	0.886513	+	0.462703i	$0.153120\pi$
$859$			27.1224i			0.925406i	−0.886513	+	0.462703i	$0.846880\pi$
$860$	10.2951	+	8.16303i	0.351061	+	0.278357i
$861$			13.5191i			0.460731i
$862$	−3.09197	−	42.6358i	−0.105313	−	1.45218i
$863$	3.11723	−	3.11723i	0.106112	−	0.106112i	−0.652058	−	0.758169i	$-0.726094\pi$
$863$	3.11723	−	3.11723i	0.106112	−	0.106112i	0.758169	+	0.652058i	$0.226094\pi$
$864$	13.1389	−	29.1527i	0.446994	−	0.991795i
$865$	−7.94051	+	7.48100i	−0.269986	+	0.254362i
$866$	13.8973	+	12.0179i	0.472250	+	0.408386i
$867$	11.2081	−	11.2081i	0.380647	−	0.380647i
$868$	−6.68444	+	8.96647i	−0.226885	+	0.304342i
$869$	1.86462			0.0632528
$870$	1.25383	+	1.15130i	0.0425088	+	0.0390326i
$871$			60.4494i			2.04825i
$872$	46.3556	−	10.2289i	1.56980	−	0.346395i
$873$	−0.0687995	−	0.0687995i	−0.00232851	−	0.00232851i
$874$	55.3638	+	47.8768i	1.87271	+	1.61946i
$875$	−7.16861	−	8.57969i	−0.242343	−	0.290046i
$876$	3.79897	+	26.0546i	0.128355	+	0.880305i
$877$	−9.88679	−	9.88679i	−0.333853	−	0.333853i	0.520195	−	0.854048i	$-0.325859\pi$
$877$	−9.88679	−	9.88679i	−0.333853	−	0.333853i	−0.854048	+	0.520195i	$0.825859\pi$
$878$	−4.55697	+	0.330474i	−0.153790	+	0.0111529i
$879$	−41.5244			−1.40058
$880$	1.64240	−	0.436540i	0.0553653	−	0.0147158i
$881$	−43.8445			−1.47716			−0.738579	−	0.674167i	$-0.764503\pi$
$881$	−43.8445			−1.47716			−0.738579	+	0.674167i	$0.764503\pi$
$882$	−1.53385	+	0.111235i	−0.0516473	+	0.00374549i
$883$	−41.4767	−	41.4767i	−1.39580	−	1.39580i	−0.811626	−	0.584177i	$-0.801417\pi$
$883$	−41.4767	−	41.4767i	−1.39580	−	1.39580i	−0.584177	−	0.811626i	$-0.698583\pi$
$884$	3.67934	+	25.2342i	0.123750	+	0.848717i
$885$	−7.95268	+	7.49246i	−0.267326	+	0.251856i
$886$	0.404269	+	0.349598i	0.0135817	+	0.0117450i
$887$	−5.54879	−	5.54879i	−0.186310	−	0.186310i	0.607789	−	0.794099i	$-0.292057\pi$
$887$	−5.54879	−	5.54879i	−0.186310	−	0.186310i	−0.794099	+	0.607789i	$0.792057\pi$
$888$	−0.962346	−	4.36119i	−0.0322942	−	0.146352i
$889$		−	1.47334i		−	0.0494144i
$890$	2.16925	+	50.8835i	0.0727135	+	1.70562i
$891$	−0.865484			−0.0289948
$892$	5.77675	−	7.74890i	0.193420	−	0.259452i
$893$	−20.7903	+	20.7903i	−0.695722	+	0.695722i
$894$	19.4460	+	16.8163i	0.650373	+	0.562421i
$895$	−1.03182	+	34.6289i	−0.0344901	+	1.15752i
$896$	−10.8773	−	3.11184i	−0.363386	−	0.103959i
$897$	−38.2618	+	38.2618i	−1.27752	+	1.27752i
$898$	0.573430	+	7.90714i	0.0191356	+	0.263865i
$899$		−	2.17657i		−	0.0725927i
$900$	−0.925510	−	10.8350i	−0.0308503	−	0.361166i
$901$		−	12.9098i		−	0.430087i
$902$	−2.61984	+	0.189992i	−0.0872311	+	0.00632605i
$903$	−2.87295	+	2.87295i	−0.0956059	+	0.0956059i
$904$	−40.5719	−	25.9034i	−1.34940	−	0.861533i
$905$	0.481493	−	16.1593i	0.0160054	−	0.537154i
$906$	−8.89044	+	10.2807i	−0.295365	+	0.341555i
$907$	25.6230	−	25.6230i	0.850799	−	0.850799i	−0.139433	−	0.990232i	$-0.544528\pi$
$907$	25.6230	−	25.6230i	0.850799	−	0.850799i	0.990232	+	0.139433i	$0.0445279\pi$
$908$	−2.41785	+	3.24328i	−0.0802390	+	0.107632i
$909$	−8.98734			−0.298091
$910$	−17.1173	+	0.729740i	−0.567433	+	0.0241907i
$911$		−	11.3318i		−	0.375440i	−0.982223	−	0.187720i	$-0.939890\pi$
$911$		−	11.3318i		−	0.375440i	0.982223	−	0.187720i	$-0.0601098\pi$
$912$	18.8611	−	34.8704i	0.624553	−	1.15467i
$913$	0.115696	+	0.115696i	0.00382899	+	0.00382899i
$914$	−28.8777	+	33.3936i	−0.955189	+	1.10456i
$915$	24.3063	−	22.8997i	0.803540	−	0.757040i
$916$	−49.3060	+	7.18920i	−1.62911	+	0.237538i
$917$	−3.14690	−	3.14690i	−0.103920	−	0.103920i
$918$	−1.36080	−	18.7643i	−0.0449130	−	0.619315i
$919$	−8.51161			−0.280772			−0.140386	−	0.990097i	$-0.544834\pi$
$919$	−8.51161			−0.280772			−0.140386	+	0.990097i	$0.544834\pi$
$920$	−25.7145	+	37.7482i	−0.847782	+	1.24452i
$921$	17.5750			0.579117
$922$	2.36069	+	32.5520i	0.0777451	+	1.07204i
$923$	5.54574	+	5.54574i	0.182540	+	0.182540i
$924$	0.0758241	+	0.520027i	0.00249443	+	0.0171076i
$925$	−3.78923	−	4.26993i	−0.124589	−	0.140394i
$926$	15.2923	−	17.6837i	0.502536	−	0.581124i
$927$	−4.37479	−	4.37479i	−0.143687	−	0.143687i
$928$	2.05916	−	0.779705i	0.0675952	−	0.0255951i
$929$		−	38.7826i		−	1.27241i	−0.771518	−	0.636207i	$-0.780502\pi$
$929$		−	38.7826i		−	1.27241i	0.771518	−	0.636207i	$-0.219498\pi$
$930$	16.5402	−	18.0132i	0.542373	−	0.590677i
$931$	−7.16664			−0.234877
$932$	−24.2095	−	18.0480i	−0.793008	−	0.591182i
$933$	18.2027	−	18.2027i	0.595930	−	0.595930i
$934$	8.31654	−	9.61709i	0.272125	−	0.314681i
$935$	0.727753	−	0.685639i	0.0238001	−	0.0224228i
$936$	−14.0455	−	8.96742i	−0.459091	−	0.293109i
$937$	−20.7441	+	20.7441i	−0.677681	+	0.677681i	−0.959475	−	0.281794i	$-0.909071\pi$
$937$	−20.7441	+	20.7441i	−0.677681	+	0.677681i	0.281794	+	0.959475i	$0.409071\pi$
$938$	−15.7376	+	1.14130i	−0.513851	+	0.0372648i
$939$			27.4059i			0.894358i
$940$	−14.3766	−	11.3992i	−0.468913	−	0.371802i
$941$			2.61287i			0.0851773i	0.999093	+	0.0425886i	$0.0135605\pi$
$941$			2.61287i			0.0851773i	−0.999093	+	0.0425886i	$0.986440\pi$
$942$	−0.258325	−	3.56209i	−0.00841667	−	0.116059i
$943$	49.9195	−	49.9195i	1.62560	−	1.62560i
$944$	4.03564	+	13.5447i	0.131349	+	0.440841i
$945$	12.6343	+	0.376460i	0.410994	+	0.0122462i
$946$	−0.597117	−	0.516367i	−0.0194140	−	0.0167885i
$947$	5.45319	−	5.45319i	0.177205	−	0.177205i	−0.612931	−	0.790136i	$-0.710010\pi$
$947$	5.45319	−	5.45319i	0.177205	−	0.177205i	0.790136	+	0.612931i	$0.210010\pi$
$948$	21.7620	+	16.2234i	0.706796	+	0.526912i
$949$	51.5757			1.67422
$950$	−0.649552	−	50.6716i	−0.0210742	−	1.64400i
$951$		−	37.8813i		−	1.22839i
$952$	−6.50009	+	1.43432i	−0.210669	+	0.0464866i
$953$	20.7601	+	20.7601i	0.672486	+	0.672486i	0.958289	−	0.285802i	$-0.0922601\pi$
$953$	20.7601	+	20.7601i	0.672486	+	0.672486i	−0.285802	+	0.958289i	$0.592260\pi$
$954$	6.38107	+	5.51813i	0.206595	+	0.178656i
$955$	0.340929	−	11.4419i	0.0110322	−	0.370250i
$956$	22.2147	−	3.23908i	0.718474	−	0.104759i
$957$	−0.0723201	−	0.0723201i	−0.00233778	−	0.00233778i
$958$	−34.6391	+	2.51204i	−1.11914	+	0.0811604i
$959$	−0.807532			−0.0260766
$960$	22.9667	+	9.19512i	0.741246	+	0.296771i
$961$	−0.269842			−0.00870458
$962$	−8.72532	+	0.632765i	−0.281316	+	0.0204012i
$963$	12.7988	+	12.7988i	0.412436	+	0.412436i
$964$	1.01550	−	0.148068i	0.0327072	−	0.00476896i
$965$	−9.21933	−	9.78561i	−0.296781	−	0.315010i
$966$	−10.6836	−	9.23882i	−0.343739	−	0.297254i
$967$	−4.00389	−	4.00389i	−0.128756	−	0.128756i	0.639792	−	0.768548i	$-0.279021\pi$
$967$	−4.00389	−	4.00389i	−0.128756	−	0.128756i	−0.768548	+	0.639792i	$0.779021\pi$
$968$	30.2821	−	6.68210i	0.973304	−	0.214771i
$969$		−	23.3250i		−	0.749306i
$970$	0.191366	−	0.208409i	0.00614438	−	0.00669160i
$971$	11.6636			0.374304			0.187152	−	0.982331i	$-0.440074\pi$
$971$	11.6636			0.374304			0.187152	+	0.982331i	$0.440074\pi$
$972$	17.0908	+	12.7411i	0.548187	+	0.408670i
$973$	−4.40217	+	4.40217i	−0.141127	+	0.141127i
$974$	38.0469	+	32.9017i	1.21910	+	1.05424i
$975$	37.3969	+	2.23058i	1.19766	+	0.0714358i
$976$	−12.3344	−	41.3974i	−0.394813	−	1.32510i
$977$	−11.3339	+	11.3339i	−0.362605	+	0.362605i	−0.864771	−	0.502166i	$-0.832537\pi$
$977$	−11.3339	+	11.3339i	−0.362605	+	0.362605i	0.502166	+	0.864771i	$0.332537\pi$
$978$	2.71095	+	37.3819i	0.0866868	+	1.19534i
$979$		−	3.06005i		−	0.0977995i
$980$	−0.513162	−	4.44260i	−0.0163923	−	0.141914i
$981$			18.2510i			0.582711i
$982$	20.6544	−	1.49787i	0.659107	−	0.0477988i
$983$	−23.8269	+	23.8269i	−0.759959	+	0.759959i	−0.976315	−	0.216356i	$-0.930583\pi$
$983$	−23.8269	+	23.8269i	−0.759959	+	0.759959i	0.216356	+	0.976315i	$0.430583\pi$
$984$	−32.2293	−	20.5770i	−1.02743	−	0.655969i
$985$	−29.5943	−	31.4121i	−0.942952	−	1.00087i
$986$	0.847370	−	0.979883i	0.0269858	−	0.0312058i
$987$	4.01193	−	4.01193i	0.127701	−	0.127701i
$988$	−62.2592	−	46.4138i	−1.98073	−	1.47662i
$989$	21.2168			0.674655
$990$	0.0278293	+	0.652783i	0.000884473	+	0.0207468i
$991$		−	32.7816i		−	1.04134i	−0.853757	−	0.520671i	$-0.825682\pi$
$991$		−	32.7816i		−	1.04134i	0.853757	−	0.520671i	$-0.174318\pi$
$992$	−11.2017	−	29.5831i	−0.355654	−	0.939263i
$993$	8.31752	+	8.31752i	0.263949	+	0.263949i
$994$	−1.33909	+	1.54850i	−0.0424734	+	0.0491155i
$995$	−12.1574	−	0.362250i	−0.385416	−	0.0114841i
$996$	0.343659	+	2.35693i	0.0108892	+	0.0746822i
$997$	−24.7684	−	24.7684i	−0.784424	−	0.784424i	0.196150	−	0.980574i	$-0.437156\pi$
$997$	−24.7684	−	24.7684i	−0.784424	−	0.784424i	−0.980574	+	0.196150i	$0.937156\pi$
$998$	−2.86039	−	39.4425i	−0.0905442	−	1.24853i
$999$	6.45409			0.204198

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.w.a.43.1	✓	72
4.3	odd	2		1120.2.bi.a.463.25		72
5.2	odd	4	inner	280.2.w.a.267.18	yes	72
8.3	odd	2	inner	280.2.w.a.43.18	yes	72
8.5	even	2		1120.2.bi.a.463.26		72
20.7	even	4		1120.2.bi.a.687.26		72
40.27	even	4	inner	280.2.w.a.267.1	yes	72
40.37	odd	4		1120.2.bi.a.687.25		72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.w.a.43.1	✓	72	1.1	even	1	trivial
280.2.w.a.43.18	yes	72	8.3	odd	2	inner
280.2.w.a.267.1	yes	72	40.27	even	4	inner
280.2.w.a.267.18	yes	72	5.2	odd	4	inner
1120.2.bi.a.463.25		72	4.3	odd	2
1120.2.bi.a.463.26		72	8.5	even	2
1120.2.bi.a.687.25		72	40.37	odd	4
1120.2.bi.a.687.26		72	20.7	even	4

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.w (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41051 + 0.102291i) q^{2} +(-0.977895 - 0.977895i) q^{3} +(1.97907 - 0.288564i) q^{4} +(-2.23508 - 0.0665977i) q^{5} +(1.47936 + 1.27930i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-2.76198 + 0.609464i) q^{8} -1.08744i q^{9} +O(q^{10})\)	\(q+(-1.41051 + 0.102291i) q^{2} +(-0.977895 - 0.977895i) q^{3} +(1.97907 - 0.288564i) q^{4} +(-2.23508 - 0.0665977i) q^{5} +(1.47936 + 1.27930i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-2.76198 + 0.609464i) q^{8} -1.08744i q^{9} +(3.15941 - 0.134691i) q^{10} -0.190002 q^{11} +(-2.21751 - 1.65314i) q^{12} +(-3.83102 + 3.83102i) q^{13} +(-1.06971 - 0.925050i) q^{14} +(2.12054 + 2.25080i) q^{15} +(3.83346 - 1.14218i) q^{16} +(1.66411 - 1.66411i) q^{17} +(0.111235 + 1.53385i) q^{18} +7.16664i q^{19} +(-4.44260 + 0.513162i) q^{20} -1.38295i q^{21} +(0.267999 - 0.0194354i) q^{22} +(-5.10656 + 5.10656i) q^{23} +(3.29692 + 2.10494i) q^{24} +(4.99113 + 0.297702i) q^{25} +(5.01181 - 5.79557i) q^{26} +(-3.99709 + 3.99709i) q^{27} +(1.60346 + 1.19537i) q^{28} -0.389233 q^{29} +(-3.22128 - 2.95786i) q^{30} +5.59194i q^{31} +(-5.29030 + 2.00318i) q^{32} +(0.185802 + 0.185802i) q^{33} +(-2.17702 + 2.51747i) q^{34} +(-1.53335 - 1.62753i) q^{35} +(-0.313797 - 2.15213i) q^{36} +(-0.807349 - 0.807349i) q^{37} +(-0.733082 - 10.1086i) q^{38} +7.49267 q^{39} +(6.21383 - 1.17826i) q^{40} -9.77556 q^{41} +(0.141463 + 1.95067i) q^{42} +(-2.07740 - 2.07740i) q^{43} +(-0.376027 + 0.0548277i) q^{44} +(-0.0724212 + 2.43052i) q^{45} +(6.68050 - 7.72521i) q^{46} +(2.90099 + 2.90099i) q^{47} +(-4.86566 - 2.63179i) q^{48} +1.00000i q^{49} +(-7.07049 + 0.0906354i) q^{50} -3.25466 q^{51} +(-6.47637 + 8.68736i) q^{52} +(3.87887 - 3.87887i) q^{53} +(5.22907 - 6.04680i) q^{54} +(0.424668 + 0.0126537i) q^{55} +(-2.38397 - 1.52206i) q^{56} +(7.00822 - 7.00822i) q^{57} +(0.549017 - 0.0398150i) q^{58} +3.53327i q^{59} +(4.84621 + 3.84258i) q^{60} -10.7990i q^{61} +(-0.572005 - 7.88749i) q^{62} +(0.768938 - 0.768938i) q^{63} +(7.25711 - 3.36666i) q^{64} +(8.81776 - 8.30748i) q^{65} +(-0.281081 - 0.243069i) q^{66} +(7.88947 - 7.88947i) q^{67} +(2.81320 - 3.77361i) q^{68} +9.98737 q^{69} +(2.32928 + 2.13880i) q^{70} -1.44759i q^{71} +(0.662757 + 3.00350i) q^{72} +(-6.73133 - 6.73133i) q^{73} +(1.22136 + 1.05619i) q^{74} +(-4.58968 - 5.17192i) q^{75} +(2.06804 + 14.1833i) q^{76} +(-0.134351 - 0.134351i) q^{77} +(-10.5685 + 0.766432i) q^{78} -9.81369 q^{79} +(-8.64414 + 2.29756i) q^{80} +4.55514 q^{81} +(13.7885 - 0.999951i) q^{82} +(-0.608923 - 0.608923i) q^{83} +(-0.399071 - 2.73696i) q^{84} +(-3.83025 + 3.60860i) q^{85} +(3.14270 + 2.71770i) q^{86} +(0.380629 + 0.380629i) q^{87} +(0.524781 - 0.115799i) q^{88} +16.1054i q^{89} +(-0.146469 - 3.43567i) q^{90} -5.41788 q^{91} +(-8.63269 + 11.5798i) q^{92} +(5.46833 - 5.46833i) q^{93} +(-4.38861 - 3.79512i) q^{94} +(0.477282 - 16.0180i) q^{95} +(7.13226 + 3.21445i) q^{96} +(0.0632673 - 0.0632673i) q^{97} +(-0.102291 - 1.41051i) q^{98} +0.206616i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q + 8 q^{6}+O(q^{10}) \) 72 * q + 8 * q^6	\( 72 q + 8 q^{6} + 16 q^{10} - 16 q^{12} - 8 q^{16} + 8 q^{17} - 28 q^{18} - 20 q^{20} - 36 q^{22} - 8 q^{25} - 32 q^{26} - 4 q^{30} + 40 q^{32} + 64 q^{36} - 4 q^{40} + 20 q^{42} - 64 q^{43} + 48 q^{46} - 80 q^{48} - 32 q^{51} + 16 q^{52} - 24 q^{56} + 4 q^{58} - 80 q^{60} - 40 q^{62} - 8 q^{65} + 32 q^{66} - 24 q^{68} + 40 q^{72} - 40 q^{73} + 112 q^{75} - 8 q^{76} + 28 q^{78} - 20 q^{80} - 72 q^{81} + 24 q^{82} + 80 q^{83} + 8 q^{86} - 88 q^{88} + 136 q^{90} - 96 q^{92} - 56 q^{96} - 8 q^{97}+O(q^{100}) \) 72 * q + 8 * q^6 + 16 * q^10 - 16 * q^12 - 8 * q^16 + 8 * q^17 - 28 * q^18 - 20 * q^20 - 36 * q^22 - 8 * q^25 - 32 * q^26 - 4 * q^30 + 40 * q^32 + 64 * q^36 - 4 * q^40 + 20 * q^42 - 64 * q^43 + 48 * q^46 - 80 * q^48 - 32 * q^51 + 16 * q^52 - 24 * q^56 + 4 * q^58 - 80 * q^60 - 40 * q^62 - 8 * q^65 + 32 * q^66 - 24 * q^68 + 40 * q^72 - 40 * q^73 + 112 * q^75 - 8 * q^76 + 28 * q^78 - 20 * q^80 - 72 * q^81 + 24 * q^82 + 80 * q^83 + 8 * q^86 - 88 * q^88 + 136 * q^90 - 96 * q^92 - 56 * q^96 - 8 * q^97

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