LMFDB - Embedded newform 280.2.br.a.107.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.17
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.624317 + 1.26895i) q^{2} +(-2.06075 - 0.552175i) q^{3} +(-1.22046 - 1.58445i) q^{4} +(-2.22709 - 0.200140i) q^{5} +(1.98724 - 2.27025i) q^{6} +(2.64273 + 0.126396i) q^{7} +(2.77254 - 0.559495i) q^{8} +(1.34370 + 0.775786i) q^{9} +O(q^{10})$	\(q+(-0.624317 + 1.26895i) q^{2} +(-2.06075 - 0.552175i) q^{3} +(-1.22046 - 1.58445i) q^{4} +(-2.22709 - 0.200140i) q^{5} +(1.98724 - 2.27025i) q^{6} +(2.64273 + 0.126396i) q^{7} +(2.77254 - 0.559495i) q^{8} +(1.34370 + 0.775786i) q^{9} +(1.64438 - 2.70111i) q^{10} +(-0.610032 - 1.05661i) q^{11} +(1.64016 + 3.93906i) q^{12} +(2.68783 + 2.68783i) q^{13} +(-1.81029 + 3.27458i) q^{14} +(4.47896 + 1.64218i) q^{15} +(-1.02097 + 3.86751i) q^{16} +(-1.84969 + 6.90315i) q^{17} +(-1.82333 + 1.22075i) q^{18} +(-0.485494 - 0.280300i) q^{19} +(2.40096 + 3.77298i) q^{20} +(-5.37620 - 1.71972i) q^{21} +(1.72163 - 0.114441i) q^{22} +(5.88093 - 1.57579i) q^{23} +(-6.02244 - 0.377949i) q^{24} +(4.91989 + 0.891463i) q^{25} +(-5.08877 + 1.73266i) q^{26} +(2.18506 + 2.18506i) q^{27} +(-3.02507 - 4.34154i) q^{28} +6.36373 q^{29} +(-4.88014 + 4.65832i) q^{30} +(5.87051 - 3.38934i) q^{31} +(-4.27025 - 3.71011i) q^{32} +(0.673689 + 2.51424i) q^{33} +(-7.60494 - 6.65692i) q^{34} +(-5.86031 - 0.810414i) q^{35} +(-0.410733 - 3.07584i) q^{36} +(1.15909 + 4.32578i) q^{37} +(0.658788 - 0.441070i) q^{38} +(-4.05478 - 7.02308i) q^{39} +(-6.28668 + 0.691151i) q^{40} -11.6461 q^{41} +(5.53869 - 5.74847i) q^{42} +(3.61709 - 3.61709i) q^{43} +(-0.929624 + 2.25611i) q^{44} +(-2.83728 - 1.99668i) q^{45} +(-1.67197 + 8.44638i) q^{46} +(-0.551484 - 2.05817i) q^{47} +(4.23951 - 7.40619i) q^{48} +(6.96805 + 0.668063i) q^{49} +(-4.20279 + 5.68652i) q^{50} +(7.62349 - 13.2043i) q^{51} +(0.978356 - 7.53911i) q^{52} +(-1.01110 + 3.77348i) q^{53} +(-4.13689 + 1.40855i) q^{54} +(1.14713 + 2.47525i) q^{55} +(7.39779 - 1.12816i) q^{56} +(0.845704 + 0.845704i) q^{57} +(-3.97299 + 8.07524i) q^{58} +(2.73771 - 1.58062i) q^{59} +(-2.86441 - 9.10091i) q^{60} +(3.85964 + 2.22836i) q^{61} +(0.635836 + 9.56539i) q^{62} +(3.45298 + 2.22003i) q^{63} +(7.37393 - 3.10244i) q^{64} +(-5.44810 - 6.52399i) q^{65} +(-3.61104 - 0.714808i) q^{66} +(-0.392367 + 1.46433i) q^{67} +(13.1952 - 5.49424i) q^{68} -12.9892 q^{69} +(4.68706 - 6.93047i) q^{70} +3.28399i q^{71} +(4.15951 + 1.39910i) q^{72} +(3.27363 + 0.877167i) q^{73} +(-6.21282 - 1.22983i) q^{74} +(-9.64639 - 4.55372i) q^{75} +(0.148402 + 1.11133i) q^{76} +(-1.47860 - 2.86943i) q^{77} +(11.4434 - 0.760672i) q^{78} +(-4.28539 + 7.42252i) q^{79} +(3.04785 - 8.40896i) q^{80} +(-5.62367 - 9.74048i) q^{81} +(7.27088 - 14.7783i) q^{82} +(-9.39347 + 9.39347i) q^{83} +(3.83661 + 10.6172i) q^{84} +(5.50104 - 15.0038i) q^{85} +(2.33168 + 6.84810i) q^{86} +(-13.1140 - 3.51390i) q^{87} +(-2.28250 - 2.58817i) q^{88} +(12.2777 + 7.08853i) q^{89} +(4.30504 - 2.35380i) q^{90} +(6.76347 + 7.44294i) q^{91} +(-9.67418 - 7.39486i) q^{92} +(-13.9691 + 3.74302i) q^{93} +(2.95601 + 0.585144i) q^{94} +(1.02514 + 0.721421i) q^{95} +(6.75128 + 10.0035i) q^{96} +(-7.07873 - 7.07873i) q^{97} +(-5.19801 + 8.42501i) q^{98} -1.89302i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.624317	+	1.26895i	−0.441459	+	0.897282i
$2$	−0.624317	+	1.26895i	−0.441459	+	0.897282i
$3$	−2.06075	−	0.552175i	−1.18977	−	0.318799i	−0.390976	−	0.920401i	$-0.627863\pi$
$3$	−2.06075	−	0.552175i	−1.18977	−	0.318799i	−0.798796	+	0.601602i	$0.794529\pi$
$4$	−1.22046	−	1.58445i	−0.610228	−	0.792226i
$5$	−2.22709	−	0.200140i	−0.995986	−	0.0895055i
$5$	−2.22709	−	0.200140i	−0.995986	−	0.0895055i
$6$	1.98724	−	2.27025i	0.811287	−	0.926824i
$7$	2.64273	+	0.126396i	0.998858	+	0.0477733i
$7$	2.64273	+	0.126396i	0.998858	+	0.0477733i
$8$	2.77254	−	0.559495i	0.980240	−	0.197811i
$9$	1.34370	+	0.775786i	0.447900	+	0.258595i
$10$	1.64438	−	2.70111i	0.519999	−	0.854167i
$11$	−0.610032	−	1.05661i	−0.183932	−	0.318579i	0.759284	−	0.650759i	$-0.225549\pi$
$11$	−0.610032	−	1.05661i	−0.183932	−	0.318579i	−0.943216	+	0.332180i	$0.892216\pi$
$12$	1.64016	+	3.93906i	0.473472	+	1.13711i
$13$	2.68783	+	2.68783i	0.745469	+	0.745469i	0.973625	−	0.228155i	$-0.0732694\pi$
$13$	2.68783	+	2.68783i	0.745469	+	0.745469i	−0.228155	+	0.973625i	$0.573269\pi$
$14$	−1.81029	+	3.27458i	−0.483821	+	0.875167i
$15$	4.47896	+	1.64218i	1.15646	+	0.424010i
$16$	−1.02097	+	3.86751i	−0.255243	+	0.966877i
$17$	−1.84969	+	6.90315i	−0.448616	+	1.67426i	0.257591	+	0.966254i	$0.417071\pi$
$17$	−1.84969	+	6.90315i	−0.448616	+	1.67426i	−0.706207	+	0.708005i	$0.749595\pi$
$18$	−1.82333	+	1.22075i	−0.429762	+	0.287733i
$19$	−0.485494	−	0.280300i	−0.111380	−	0.0643052i	0.443275	−	0.896386i	$-0.353816\pi$
$19$	−0.485494	−	0.280300i	−0.111380	−	0.0643052i	−0.554655	+	0.832080i	$0.687150\pi$
$20$	2.40096	+	3.77298i	0.536870	+	0.843665i
$21$	−5.37620	−	1.71972i	−1.17318	−	0.375274i
$22$	1.72163	−	0.114441i	0.367053	−	0.0243990i
$23$	5.88093	−	1.57579i	1.22626	−	0.328575i	0.413137	−	0.910669i	$-0.364433\pi$
$23$	5.88093	−	1.57579i	1.22626	−	0.328575i	0.813121	+	0.582094i	$0.197766\pi$
$24$	−6.02244	−	0.377949i	−1.22932	−	0.0771486i
$25$	4.91989	+	0.891463i	0.983978	+	0.178293i
$26$	−5.08877	+	1.73266i	−0.997990	+	0.339802i
$27$	2.18506	+	2.18506i	0.420514	+	0.420514i
$28$	−3.02507	−	4.34154i	−0.571684	−	0.820474i
$29$	6.36373			1.18172			0.590858	−	0.806776i	$-0.298789\pi$
$29$	6.36373			1.18172			0.590858	+	0.806776i	$0.298789\pi$
$30$	−4.88014	+	4.65832i	−0.890987	+	0.850489i
$31$	5.87051	−	3.38934i	1.05437	−	0.608743i	0.130504	−	0.991448i	$-0.458341\pi$
$31$	5.87051	−	3.38934i	1.05437	−	0.608743i	0.923871	+	0.382705i	$0.125007\pi$
$32$	−4.27025	−	3.71011i	−0.754881	−	0.655861i
$33$	0.673689	+	2.51424i	0.117274	+	0.437674i
$34$	−7.60494	−	6.65692i	−1.30424	−	1.14165i
$35$	−5.86031	−	0.810414i	−0.990573	−	0.136985i
$36$	−0.410733	−	3.07584i	−0.0684555	−	0.512640i
$37$	1.15909	+	4.32578i	0.190553	+	0.711153i	0.993373	+	0.114932i	$0.0366651\pi$
$37$	1.15909	+	4.32578i	0.190553	+	0.711153i	−0.802820	+	0.596221i	$0.796668\pi$
$38$	0.658788	−	0.441070i	0.106869	−	0.0715510i
$39$	−4.05478	−	7.02308i	−0.649284	−	1.12459i
$40$	−6.28668	+	0.691151i	−0.994011	+	0.109281i
$41$	−11.6461			−1.81882			−0.909410	−	0.415901i	$-0.863466\pi$
$41$	−11.6461			−1.81882			−0.909410	+	0.415901i	$0.863466\pi$
$42$	5.53869	−	5.74847i	0.854639	−	0.887008i
$43$	3.61709	−	3.61709i	0.551600	−	0.551600i	−0.375302	−	0.926903i	$-0.622461\pi$
$43$	3.61709	−	3.61709i	0.551600	−	0.551600i	0.926903	+	0.375302i	$0.122461\pi$
$44$	−0.929624	+	2.25611i	−0.140146	+	0.340121i
$45$	−2.83728	−	1.99668i	−0.422957	−	0.297647i
$46$	−1.67197	+	8.44638i	−0.246518	+	1.24535i
$47$	−0.551484	−	2.05817i	−0.0804422	−	0.300214i	0.913970	−	0.405782i	$-0.133001\pi$
$47$	−0.551484	−	2.05817i	−0.0804422	−	0.300214i	−0.994412	+	0.105567i	$0.966334\pi$
$48$	4.23951	−	7.40619i	0.611920	−	1.06899i
$49$	6.96805	+	0.668063i	0.995435	+	0.0954376i
$50$	−4.20279	+	5.68652i	−0.594364	+	0.804196i
$51$	7.62349	−	13.2043i	1.06750	−	1.84897i
$52$	0.978356	−	7.53911i	0.135674	−	1.04549i
$53$	−1.01110	+	3.77348i	−0.138885	+	0.518328i	0.861066	+	0.508493i	$0.169797\pi$
$53$	−1.01110	+	3.77348i	−0.138885	+	0.518328i	−0.999952	+	0.00983465i	$0.996869\pi$
$54$	−4.13689	+	1.40855i	−0.562960	+	0.191680i
$55$	1.14713	+	2.47525i	0.154679	+	0.333763i
$56$	7.39779	−	1.12816i	0.988571	−	0.150756i
$57$	0.845704	+	0.845704i	0.112016	+	0.112016i
$58$	−3.97299	+	8.07524i	−0.521679	+	1.06033i
$59$	2.73771	−	1.58062i	0.356420	−	0.205779i	−0.311089	−	0.950381i	$-0.600694\pi$
$59$	2.73771	−	1.58062i	0.356420	−	0.205779i	0.667509	+	0.744602i	$0.267360\pi$
$60$	−2.86441	−	9.10091i	−0.369794	−	1.17492i
$61$	3.85964	+	2.22836i	0.494176	+	0.285313i	0.726305	−	0.687372i	$-0.241236\pi$
$61$	3.85964	+	2.22836i	0.494176	+	0.285313i	−0.232129	+	0.972685i	$0.574569\pi$
$62$	0.635836	+	9.56539i	0.0807512	+	1.21481i
$63$	3.45298	+	2.22003i	0.435035	+	0.279698i
$64$	7.37393	−	3.10244i	0.921741	−	0.387805i
$65$	−5.44810	−	6.52399i	−0.675754	−	0.809201i
$66$	−3.61104	−	0.714808i	−0.444488	−	0.0879868i
$67$	−0.392367	+	1.46433i	−0.0479352	+	0.178897i	−0.985743	−	0.168259i	$-0.946186\pi$
$67$	−0.392367	+	1.46433i	−0.0479352	+	0.178897i	0.937808	+	0.347155i	$0.112852\pi$
$68$	13.1952	−	5.49424i	1.60015	−	0.666275i
$69$	−12.9892			−1.56372
$70$	4.68706	−	6.93047i	0.560211	−	0.828350i
$71$			3.28399i			0.389738i	0.980829	+	0.194869i	$0.0624282\pi$
$71$			3.28399i			0.389738i	−0.980829	+	0.194869i	$0.937572\pi$
$72$	4.15951	+	1.39910i	0.490203	+	0.164886i
$73$	3.27363	+	0.877167i	0.383150	+	0.102665i	0.445252	−	0.895405i	$-0.353114\pi$
$73$	3.27363	+	0.877167i	0.383150	+	0.102665i	−0.0621027	+	0.998070i	$0.519781\pi$
$74$	−6.21282	−	1.22983i	−0.722226	−	0.142965i
$75$	−9.64639	−	4.55372i	−1.11387	−	0.525818i
$76$	0.148402	+	1.11133i	0.0170229	+	0.127479i
$77$	−1.47860	−	2.86943i	−0.168502	−	0.327002i
$78$	11.4434	−	0.760672i	1.29571	−	0.0861291i
$79$	−4.28539	+	7.42252i	−0.482145	+	0.835099i	−0.999790	−	0.0204964i	$-0.993475\pi$
$79$	−4.28539	+	7.42252i	−0.482145	+	0.835099i	0.517645	+	0.855595i	$0.326809\pi$
$80$	3.04785	−	8.40896i	0.340760	−	0.940150i
$81$	−5.62367	−	9.74048i	−0.624852	−	1.08228i
$82$	7.27088	−	14.7783i	0.802934	−	1.63199i
$83$	−9.39347	+	9.39347i	−1.03107	+	1.03107i	−0.0315660	+	0.999502i	$0.510049\pi$
$83$	−9.39347	+	9.39347i	−1.03107	+	1.03107i	−0.999502	+	0.0315660i	$0.989951\pi$
$84$	3.83661	+	10.6172i	0.418608	+	1.15843i
$85$	5.50104	−	15.0038i	0.596671	−	1.62739i
$86$	2.33168	+	6.84810i	0.251432	+	0.738450i
$87$	−13.1140	−	3.51390i	−1.40597	−	0.376729i
$88$	−2.28250	−	2.58817i	−0.243316	−	0.275900i
$89$	12.2777	+	7.08853i	1.30143	+	0.751382i	0.980650	−	0.195770i	$-0.0627207\pi$
$89$	12.2777	+	7.08853i	1.30143	+	0.751382i	0.320783	+	0.947153i	$0.396054\pi$
$90$	4.30504	−	2.35380i	0.453791	−	0.248112i
$91$	6.76347	+	7.44294i	0.709005	+	0.780232i
$92$	−9.67418	−	7.39486i	−1.00860	−	0.770968i
$93$	−13.9691	+	3.74302i	−1.44853	+	0.388133i
$94$	2.95601	+	0.585144i	0.304889	+	0.0603530i
$95$	1.02514	+	0.721421i	0.105177	+	0.0740162i
$96$	6.75128	+	10.0035i	0.689049	+	1.02098i
$97$	−7.07873	−	7.07873i	−0.718736	−	0.718736i	0.249611	−	0.968346i	$-0.419697\pi$
$97$	−7.07873	−	7.07873i	−0.718736	−	0.718736i	−0.968346	+	0.249611i	$0.919697\pi$
$98$	−5.19801	+	8.42501i	−0.525078	+	0.851054i
$99$		−	1.89302i		−	0.190255i
$100$	−4.59203	−	8.88331i	−0.459203	−	0.888331i
$101$	1.17896	−	0.680672i	0.117311	−	0.0677294i	−0.440196	−	0.897901i	$-0.645091\pi$
$101$	1.17896	−	0.680672i	0.117311	−	0.0677294i	0.557507	+	0.830172i	$0.311758\pi$
$102$	11.9961	+	17.9175i	1.18779	+	1.77409i
$103$	−1.51297	+	0.405398i	−0.149077	+	0.0399450i	−0.332586	−	0.943073i	$-0.607921\pi$
$103$	−1.51297	+	0.405398i	−0.149077	+	0.0399450i	0.183509	+	0.983018i	$0.441254\pi$
$104$	8.95593	+	5.94828i	0.878201	+	0.583277i
$105$	11.6291	+	4.90597i	1.13489	+	0.478774i
$106$	−4.15710	−	3.63888i	−0.403773	−	0.353440i
$107$	6.14788	−	1.64732i	0.594338	−	0.159252i	0.0509028	−	0.998704i	$-0.483790\pi$
$107$	6.14788	−	1.64732i	0.594338	−	0.159252i	0.543435	+	0.839451i	$0.317123\pi$
$108$	0.795350	−	6.12888i	0.0765326	−	0.589752i
$109$	1.18073	+	2.04508i	0.113093	+	0.195883i	0.917016	−	0.398851i	$-0.130591\pi$
$109$	1.18073	+	2.04508i	0.113093	+	0.195883i	−0.803923	+	0.594734i	$0.797258\pi$
$110$	−3.85714	−	0.0896969i	−0.367764	−	0.00855226i
$111$		−	9.55435i		−	0.906859i
$112$	−3.18699	+	10.0917i	−0.301143	+	0.953579i
$113$	3.51644	−	3.51644i	0.330799	−	0.330799i	−0.522091	−	0.852890i	$-0.674848\pi$
$113$	3.51644	−	3.51644i	0.330799	−	0.330799i	0.852890	+	0.522091i	$0.174848\pi$
$114$	−1.60114	+	0.545167i	−0.149961	+	0.0510596i
$115$	−13.4128	+	2.33242i	−1.25075	+	0.217499i
$116$	−7.76666	−	10.0830i	−0.721116	−	0.936185i
$117$	1.52646	+	5.69681i	0.141121	+	0.526671i
$118$	0.296522	+	4.46082i	0.0272971	+	0.410652i
$119$	−5.76077	+	18.0094i	−0.528089	+	1.65092i
$120$	13.3369	+	2.04706i	1.21749	+	0.186870i
$121$	4.75572	−	8.23715i	0.432338	−	0.748832i
$122$	−5.23731	+	3.50647i	−0.474164	+	0.317461i
$123$	23.9997	+	6.43070i	2.16398	+	0.579837i
$124$	−12.5349	−	5.16499i	−1.12567	−	0.463830i
$125$	−10.7786	−	2.97004i	−0.964070	−	0.265648i
$126$	−4.97286	+	2.99565i	−0.443017	+	0.266874i
$127$	−13.3853	+	13.3853i	−1.18775	+	1.18775i	−0.210064	+	0.977688i	$0.567367\pi$
$127$	−13.3853	+	13.3853i	−1.18775	+	1.18775i	−0.977688	+	0.210064i	$0.932633\pi$
$128$	−0.666833	+	11.2940i	−0.0589403	+	0.998262i
$129$	−9.45116	+	5.45663i	−0.832128	+	0.480429i
$130$	11.6799	−	2.84032i	1.02440	−	0.249112i
$131$	0.922567	−	1.59793i	0.0806051	−	0.139612i	−0.822905	−	0.568179i	$-0.807648\pi$
$131$	0.922567	−	1.59793i	0.0806051	−	0.139612i	0.903510	+	0.428567i	$0.140981\pi$
$132$	3.16149	−	4.13595i	0.275172	−	0.359988i
$133$	−1.24760	−	0.802122i	−0.108181	−	0.0695528i
$134$	−1.61320	−	1.41210i	−0.139359	−	0.121987i
$135$	−4.42901	−	5.30364i	−0.381188	−	0.456465i
$136$	−1.26607	+	20.1741i	−0.108564	+	1.72992i
$137$	−4.64230	+	17.3253i	−0.396619	+	1.48020i	0.422387	+	0.906415i	$0.361192\pi$
$137$	−4.64230	+	17.3253i	−0.396619	+	1.48020i	−0.819006	+	0.573785i	$0.805474\pi$
$138$	8.10939	−	16.4826i	0.690317	−	1.40309i
$139$			1.92772i			0.163507i	0.996653	+	0.0817534i	$0.0260520\pi$
$139$			1.92772i			0.163507i	−0.996653	+	0.0817534i	$0.973948\pi$
$140$	5.86819	+	10.2745i	0.495953	+	0.868350i
$141$			4.54587i			0.382832i
$142$	−4.16721	−	2.05025i	−0.349705	−	0.172053i
$143$	1.20032	−	4.47964i	0.100375	−	0.374606i
$144$	−4.37224	+	4.40472i	−0.364353	+	0.367060i
$145$	−14.1726	−	1.27364i	−1.17697	−	0.105770i
$146$	−3.15686	+	3.60644i	−0.261264	+	0.298471i
$147$	−13.9905	−	5.22429i	−1.15392	−	0.430892i
$148$	5.43937	−	7.11594i	0.447113	−	0.584927i
$149$	1.78891	−	3.09848i	0.146553	−	0.253838i	−0.783398	−	0.621520i	$-0.786515\pi$
$149$	1.78891	−	3.09848i	0.146553	−	0.253838i	0.929951	+	0.367683i	$0.119849\pi$
$150$	11.8008	−	9.39781i	0.963535	−	0.767328i
$151$	6.59273	−	3.80631i	0.536508	−	0.309753i	−0.207154	−	0.978308i	$-0.566420\pi$
$151$	6.59273	−	3.80631i	0.536508	−	0.309753i	0.743663	+	0.668555i	$0.233087\pi$
$152$	−1.50288	−	0.505511i	−0.121899	−	0.0410023i
$153$	−7.84080	+	7.84080i	−0.633891	+	0.633891i
$154$	4.56428	−	0.0848294i	0.367800	−	0.00683575i
$155$	−13.7525	+	6.37345i	−1.10463	+	0.511928i
$156$	−6.17905	+	14.9960i	−0.494720	+	1.20064i
$157$	5.09985	+	1.36650i	0.407012	+	0.109059i	0.456516	−	0.889715i	$-0.349097\pi$
$157$	5.09985	+	1.36650i	0.407012	+	0.109059i	−0.0495035	+	0.998774i	$0.515764\pi$
$158$	−6.74335	−	10.0719i	−0.536472	−	0.801281i
$159$	4.16725	−	7.21788i	0.330484	−	0.572415i
$160$	8.76771	+	9.11742i	0.693148	+	0.720795i
$161$	15.7409	−	3.42106i	1.24056	−	0.269617i
$162$	15.8711	−	1.05499i	1.24695	−	0.0828881i
$163$	−1.10815	−	4.13568i	−0.0867971	−	0.323931i	0.908851	−	0.417120i	$-0.136961\pi$
$163$	−1.10815	−	4.13568i	−0.0867971	−	0.323931i	−0.995648	+	0.0931890i	$0.970294\pi$
$164$	14.2136	+	18.4527i	1.10989	+	1.44092i
$165$	−0.997167	−	5.73429i	−0.0776294	−	0.446414i
$166$	−6.05532	−	17.7843i	−0.469984	−	1.38033i
$167$	12.5685	−	12.5685i	0.972581	−	0.972581i	−0.0270530	−	0.999634i	$-0.508612\pi$
$167$	12.5685	−	12.5685i	0.972581	−	0.972581i	0.999634	+	0.0270530i	$0.00861229\pi$
$168$	−15.8679	−	1.76003i	−1.22424	−	0.135789i
$169$			1.44884i			0.111449i
$170$	15.6046	+	16.3476i	1.19682	+	1.25381i
$171$	−0.434905	−	0.753278i	−0.0332580	−	0.0576046i
$172$	−10.1456	−	1.31660i	−0.773594	−	0.100390i
$173$	12.8456	−	3.44197i	0.976632	−	0.261688i	0.265006	−	0.964247i	$-0.414626\pi$
$173$	12.8456	−	3.44197i	0.976632	−	0.261688i	0.711626	+	0.702559i	$0.247959\pi$
$174$	12.6463	−	14.4472i	0.958711	−	1.09524i
$175$	12.8893	+	2.97775i	0.974336	+	0.225097i
$176$	4.70926	−	1.28054i	0.354974	−	0.0965242i
$177$	−6.51451	+	1.74556i	−0.489661	+	0.131204i
$178$	−16.6601	+	11.1543i	−1.24873	+	0.836047i
$179$	−2.97767	+	1.71916i	−0.222562	+	0.128496i	−0.607136	−	0.794598i	$-0.707682\pi$
$179$	−2.97767	+	1.71916i	−0.222562	+	0.128496i	0.384574	+	0.923094i	$0.374348\pi$
$180$	0.299140	+	6.93239i	0.0222966	+	0.516710i
$181$			13.8386i			1.02861i	0.857606	+	0.514307i	$0.171951\pi$
$181$			13.8386i			1.02861i	−0.857606	+	0.514307i	$0.828049\pi$
$182$	−13.6672	+	3.93574i	−1.01308	+	0.291737i
$183$	−6.72329	−	6.72329i	−0.497000	−	0.497000i
$184$	15.4234	−	7.65929i	1.13703	−	0.564650i
$185$	−1.71563	−	9.86589i	−0.126136	−	0.725355i
$186$	3.97148	−	20.0629i	0.291203	−	1.47109i
$187$	8.42228	−	2.25674i	0.615898	−	0.165029i
$188$	−2.58800	+	3.38570i	−0.188749	+	0.246928i
$189$	5.49833	+	6.05070i	0.399945	+	0.440124i
$190$	−1.55546	+	0.850454i	−0.112845	+	0.0616984i
$191$	−8.93860	−	5.16070i	−0.646774	−	0.373415i	0.140445	−	0.990088i	$-0.455147\pi$
$191$	−8.93860	−	5.16070i	−0.646774	−	0.373415i	−0.787219	+	0.616673i	$0.788480\pi$
$192$	−16.9089	+	2.32165i	−1.22029	+	0.167550i
$193$	−6.14907	−	1.64764i	−0.442620	−	0.118600i	0.0306243	−	0.999531i	$-0.490250\pi$
$193$	−6.14907	−	1.64764i	−0.442620	−	0.118600i	−0.473244	+	0.880931i	$0.656917\pi$
$194$	13.4019	−	4.56316i	0.962200	−	0.327616i
$195$	7.62477	+	16.4526i	0.546021	+	1.17819i
$196$	−7.44569	−	11.8559i	−0.531835	−	0.846848i
$197$	−3.89089	+	3.89089i	−0.277214	+	0.277214i	−0.831996	−	0.554782i	$-0.812802\pi$
$197$	−3.89089	+	3.89089i	−0.277214	+	0.277214i	0.554782	+	0.831996i	$0.312802\pi$
$198$	2.40214	+	1.18184i	0.170713	+	0.0839899i
$199$	1.65845	+	2.87252i	0.117565	+	0.203628i	0.918802	−	0.394719i	$-0.129158\pi$
$199$	1.65845	+	2.87252i	0.117565	+	0.203628i	−0.801237	+	0.598347i	$0.795825\pi$
$200$	14.1393	−	0.281039i	0.999803	−	0.0198724i
$201$	1.61714	−	2.80096i	0.114064	−	0.197565i
$202$	0.127693	+	1.92099i	0.00898446	+	0.135161i
$203$	16.8176	+	0.804352i	1.18037	+	0.0564545i
$204$	−30.2257	+	4.03619i	−2.11622	+	0.282590i
$205$	25.9370	+	2.33086i	1.81152	+	0.162794i
$206$	0.430141	−	2.17297i	0.0299694	−	0.151398i
$207$	9.12468	+	2.44495i	0.634209	+	0.169936i
$208$	−13.1394	+	7.65100i	−0.911053	+	0.530501i
$209$			0.683968i			0.0473110i
$210$	−13.4857	+	11.6939i	−0.930601	+	0.806953i
$211$	−12.7627			−0.878624			−0.439312	−	0.898335i	$-0.644778\pi$
$211$	−12.7627			−0.878624			−0.439312	+	0.898335i	$0.644778\pi$
$212$	7.21290	−	3.00333i	0.495384	−	0.206269i
$213$	1.81334	−	6.76747i	0.124248	−	0.463700i
$214$	−1.74786	+	8.82978i	−0.119481	+	0.603592i
$215$	−8.77951	+	7.33166i	−0.598758	+	0.500015i
$216$	7.28068	+	4.83562i	0.495388	+	0.329023i
$217$	15.9426	−	8.21510i	1.08225	−	0.557677i
$218$	−3.33224	+	0.221503i	−0.225688	+	0.0150020i
$219$	−6.26178	−	3.61524i	−0.423132	−	0.244295i
$220$	2.52190	−	4.83851i	0.170026	−	0.326212i
$221$	−23.5261	+	13.5828i	−1.58254	+	0.913679i
$222$	12.1240	+	5.96494i	0.813707	+	0.400341i
$223$	−12.2215	−	12.2215i	−0.818409	−	0.818409i	0.167468	−	0.985877i	$-0.446441\pi$
$223$	−12.2215	−	12.2215i	−0.818409	−	0.818409i	−0.985877	+	0.167468i	$0.946441\pi$
$224$	−10.8162	−	10.3446i	−0.722687	−	0.691176i
$225$	5.91927	+	5.01464i	0.394618	+	0.334309i
$226$	2.26681	+	6.65756i	0.150786	+	0.442854i
$227$	6.56098	−	24.4859i	0.435468	−	1.62519i	−0.304477	−	0.952520i	$-0.598482\pi$
$227$	6.56098	−	24.4859i	0.435468	−	1.62519i	0.739945	−	0.672668i	$-0.234852\pi$
$228$	0.307832	−	2.37212i	0.0203867	−	0.157098i
$229$	8.02875	−	13.9062i	0.530555	−	0.918948i	−0.468809	−	0.883299i	$-0.655317\pi$
$229$	8.02875	−	13.9062i	0.530555	−	0.918948i	0.999364	−	0.0356488i	$-0.0113498\pi$
$230$	5.41409	−	18.4762i	0.356995	−	1.21829i
$231$	1.46259	+	6.72962i	0.0962312	+	0.442776i
$232$	17.6437	−	3.56048i	1.15836	−	0.233757i
$233$	1.30892	+	4.88494i	0.0857499	+	0.320023i	0.995455	−	0.0952316i	$-0.0303592\pi$
$233$	1.30892	+	4.88494i	0.0857499	+	0.320023i	−0.909705	+	0.415255i	$0.863693\pi$
$234$	−8.18195	−	1.61962i	−0.534871	−	0.105878i
$235$	0.816284	+	4.69410i	0.0532485	+	0.306210i
$236$	−5.84568	−	2.40870i	−0.380521	−	0.156793i
$237$	12.9296	−	12.9296i	0.839870	−	0.839870i
$238$	−19.2564	−	18.5537i	−1.24821	−	1.20266i
$239$	23.6064			1.52697			0.763484	−	0.645826i	$-0.223487\pi$
$239$	23.6064			1.52697			0.763484	+	0.645826i	$0.223487\pi$
$240$	−10.9241	+	15.6458i	−0.705145	+	1.00993i
$241$	−2.53374	−	4.38856i	−0.163212	−	0.282692i	0.772807	−	0.634642i	$-0.218852\pi$
$241$	−2.53374	−	4.38856i	−0.163212	−	0.282692i	−0.936019	+	0.351949i	$0.885519\pi$
$242$	7.48344	+	11.1774i	0.481053	+	0.718508i
$243$	3.81114	+	14.2234i	0.244485	+	0.912430i
$244$	−1.17979	−	8.83503i	−0.0755281	−	0.565605i
$245$	−15.3848	−	2.88243i	−0.982898	−	0.184151i
$246$	−23.1437	+	26.4396i	−1.47559	+	1.68573i
$247$	−0.551525	−	2.05832i	−0.0350927	−	0.130968i
$248$	14.3799	−	12.6816i	0.913124	−	0.805282i
$249$	24.5444	−	14.1707i	1.55544	−	0.898033i
$250$	10.4981	−	11.8233i	0.663959	−	0.747769i
$251$	21.4708			1.35523			0.677613	−	0.735418i	$-0.263014\pi$
$251$	21.4708			1.35523			0.677613	+	0.735418i	$0.263014\pi$
$252$	−0.696681	−	8.18053i	−0.0438868	−	0.515325i
$253$	−5.25255	−	5.25255i	−0.330225	−	0.330225i
$254$	−8.62856	−	25.3419i	−0.541404	−	1.59009i
$255$	−19.6209	+	27.8814i	−1.22871	+	1.74600i
$256$	−13.9152	−	7.89724i	−0.869702	−	0.493577i
$257$	−13.5000	+	3.61733i	−0.842110	+	0.225643i	−0.653990	−	0.756503i	$-0.726906\pi$
$257$	−13.5000	+	3.61733i	−0.842110	+	0.225643i	−0.188120	+	0.982146i	$0.560239\pi$
$258$	−1.02366	−	15.3997i	−0.0637301	−	0.958743i
$259$	2.51640	+	11.5784i	0.156361	+	0.719445i
$260$	−3.68777	+	16.5945i	−0.228706	+	1.02915i
$261$	8.55095	+	4.93689i	0.529290	+	0.305586i
$262$	1.45172	+	2.16831i	0.0896875	+	0.133958i
$263$	−3.40482	+	12.7070i	−0.209950	+	0.783544i	0.777933	+	0.628347i	$0.216268\pi$
$263$	−3.40482	+	12.7070i	−0.209950	+	0.783544i	−0.987883	+	0.155197i	$0.950399\pi$
$264$	3.27454	+	6.59391i	0.201534	+	0.405827i
$265$	3.00704	−	8.20153i	0.184721	−	0.503816i
$266$	1.79675	−	1.08236i	0.110166	−	0.0663638i
$267$	−21.3871	−	21.3871i	−1.30887	−	1.30887i
$268$	2.79903	−	1.16547i	0.170978	−	0.0711923i
$269$	−5.93116	−	10.2731i	−0.361629	−	0.626360i	0.626600	−	0.779341i	$-0.284446\pi$
$269$	−5.93116	−	10.2731i	−0.361629	−	0.626360i	−0.988229	+	0.152981i	$0.951113\pi$
$270$	9.49515	−	2.30902i	0.577856	−	0.140523i
$271$	−14.6441	−	8.45475i	−0.889563	−	0.513589i	−0.0157634	−	0.999876i	$-0.505018\pi$
$271$	−14.6441	−	8.45475i	−0.889563	−	0.513589i	−0.873800	+	0.486286i	$0.838351\pi$
$272$	−24.8095	−	14.2016i	−1.50430	−	0.861100i
$273$	−9.82800	−	19.0726i	−0.594817	−	1.15433i
$274$	−19.0866	−	16.7073i	−1.15307	−	1.00933i
$275$	−2.05936	−	5.74221i	−0.124184	−	0.346268i
$276$	15.8528	+	20.5808i	0.954224	+	1.23882i
$277$	21.6870	+	5.81102i	1.30305	+	0.349150i	0.842601	−	0.538538i	$-0.181023\pi$
$277$	21.6870	+	5.81102i	1.30305	+	0.349150i	0.460445	+	0.887688i	$0.347690\pi$
$278$	−2.44617	−	1.20351i	−0.146712	−	0.0721816i
$279$	10.5176			0.629673
$280$	−16.7014	+	1.03191i	−0.998097	+	0.0616686i
$281$	0.145469			0.00867794			0.00433897	−	0.999991i	$-0.498619\pi$
$281$	0.145469			0.00867794			0.00433897	+	0.999991i	$0.498619\pi$
$282$	−5.76848	−	2.83807i	−0.343508	−	0.169004i
$283$	−4.68935	−	1.25651i	−0.278753	−	0.0746916i	0.116734	−	0.993163i	$-0.462757\pi$
$283$	−4.68935	−	1.25651i	−0.278753	−	0.0746916i	−0.395487	+	0.918472i	$0.629424\pi$
$284$	5.20333	−	4.00797i	0.308761	−	0.237829i
$285$	−1.71420	−	2.05272i	−0.101541	−	0.121593i
$286$	4.93505	+	4.31985i	0.291816	+	0.255438i
$287$	−30.7776	−	1.47203i	−1.81674	−	0.0868911i
$288$	−2.85969	−	8.29808i	−0.168509	−	0.488969i
$289$	−29.5096	−	17.0374i	−1.73586	−	1.00220i
$290$	10.4644	−	17.1892i	0.614490	−	1.00938i
$291$	10.6788	+	18.4962i	0.626000	+	1.08426i
$292$	−2.60550	−	6.25746i	−0.152475	−	0.366190i
$293$	16.7470	+	16.7470i	0.978371	+	0.978371i	0.999771	−	0.0214001i	$-0.00681237\pi$
$293$	16.7470	+	16.7470i	0.978371	+	0.978371i	−0.0214001	+	0.999771i	$0.506812\pi$
$294$	15.3639	−	14.4916i	0.896038	−	0.845166i
$295$	−6.41349	+	2.97226i	−0.373408	+	0.173052i
$296$	5.63387	+	11.3449i	0.327462	+	0.659407i
$297$	0.975791	−	3.64170i	0.0566211	−	0.211313i
$298$	2.81497	+	4.20447i	0.163067	+	0.243558i
$299$	20.0424	+	11.5715i	1.15908	+	0.669195i
$300$	4.55786	+	20.8419i	0.263148	+	1.20331i
$301$	10.0162	−	9.10179i	0.577322	−	0.524619i
$302$	0.714060	+	10.7422i	0.0410895	+	0.618142i
$303$	−2.80538	+	0.751701i	−0.161165	+	0.0431841i
$304$	1.57974	−	1.59147i	0.0906042	−	0.0912772i
$305$	−8.14979	−	5.73524i	−0.466655	−	0.328399i
$306$	−5.05442	−	14.8447i	−0.288942	−	0.848615i
$307$	−5.79751	−	5.79751i	−0.330881	−	0.330881i	0.522040	−	0.852921i	$-0.325171\pi$
$307$	−5.79751	−	5.79751i	−0.330881	−	0.330881i	−0.852921	+	0.522040i	$0.825171\pi$
$308$	−2.74191	+	5.84479i	−0.156235	+	0.333038i
$309$	3.34169			0.190102
$310$	0.498356	−	21.4303i	0.0283047	−	1.21716i
$311$	16.6358	−	9.60469i	0.943330	−	0.544632i	0.0523273	−	0.998630i	$-0.483336\pi$
$311$	16.6358	−	9.60469i	0.943330	−	0.544632i	0.891003	+	0.453998i	$0.150003\pi$
$312$	−15.1714	−	17.2031i	−0.858912	−	0.973936i
$313$	5.90858	+	22.0511i	0.333973	+	1.24640i	0.904979	+	0.425457i	$0.139887\pi$
$313$	5.90858	+	22.0511i	0.333973	+	1.24640i	−0.571006	+	0.820946i	$0.693447\pi$
$314$	−4.91794	+	5.61831i	−0.277535	+	0.317060i
$315$	−7.24579	−	5.63530i	−0.408254	−	0.317513i
$316$	16.9908	−	2.26886i	0.955805	−	0.127634i
$317$	−4.10257	−	15.3110i	−0.230423	−	0.859952i	−0.980159	−	0.198214i	$-0.936486\pi$
$317$	−4.10257	−	15.3110i	−0.230423	−	0.859952i	0.749735	−	0.661738i	$-0.230181\pi$
$318$	6.55743	+	9.79426i	0.367722	+	0.549235i
$319$	−3.88208	−	6.72396i	−0.217355	−	0.376470i
$320$	−17.0434	+	5.43361i	−0.952752	+	0.303748i
$321$	−13.5788			−0.757896
$322$	−5.48615	+	22.1102i	−0.305731	+	1.23215i
$323$	2.83296	−	2.83296i	0.157630	−	0.157630i
$324$	−8.56988	+	20.7983i	−0.476104	+	1.15546i
$325$	10.8277	+	15.6199i	0.600613	+	0.866437i
$326$	5.93979	+	1.17579i	0.328975	+	0.0651208i
$327$	−1.30393	−	4.86635i	−0.0721077	−	0.269110i
$328$	−32.2893	+	6.51595i	−1.78288	+	0.359783i
$329$	−1.19728	−	5.50888i	−0.0660081	−	0.303715i
$330$	7.89906	+	2.31466i	0.434829	+	0.127418i
$331$	−17.3136	+	29.9880i	−0.951641	+	1.64829i	−0.209766	+	0.977752i	$0.567270\pi$
$331$	−17.3136	+	29.9880i	−0.951641	+	1.64829i	−0.741875	+	0.670538i	$0.766063\pi$
$332$	26.3478	+	3.41918i	1.44602	+	0.187652i
$333$	−1.79841	+	6.71175i	−0.0985522	+	0.367802i
$334$	8.10205	+	23.7955i	0.443324	+	1.30203i
$335$	1.16691	−	3.18268i	0.0637551	−	0.173888i
$336$	12.1400	−	19.0367i	0.662291	−	1.03854i
$337$	18.8495	+	18.8495i	1.02680	+	1.02680i	0.999631	+	0.0271651i	$0.00864798\pi$
$337$	18.8495	+	18.8495i	1.02680	+	1.02680i	0.0271651	+	0.999631i	$0.491352\pi$
$338$	−1.83850	−	0.904536i	−0.100001	−	0.0492003i
$339$	−9.18819	+	5.30480i	−0.499034	+	0.288117i
$340$	−30.4865	+	9.59530i	−1.65336	+	0.520378i
$341$	−7.16240	−	4.13521i	−0.387866	−	0.223934i
$342$	1.22739	−	0.0815877i	0.0663696	−	0.00441176i
$343$	18.3302	+	2.64625i	0.989739	+	0.142884i
$344$	8.00476	−	12.0522i	0.431588	−	0.649814i
$345$	28.9282	+	2.59967i	1.55744	+	0.139961i
$346$	−3.65205	+	18.4493i	−0.196335	+	0.991838i
$347$	−5.62578	+	20.9957i	−0.302008	+	1.12711i	0.633483	+	0.773757i	$0.281625\pi$
$347$	−5.62578	+	20.9957i	−0.302008	+	1.12711i	−0.935491	+	0.353352i	$0.885042\pi$
$348$	10.4375	+	25.0671i	0.559509	+	1.34374i
$349$	−14.2086			−0.760570			−0.380285	−	0.924869i	$-0.624174\pi$
$349$	−14.2086			−0.760570			−0.380285	+	0.924869i	$0.624174\pi$
$350$	−11.8256	+	14.4967i	−0.632105	+	0.774883i
$351$			11.7461i			0.626961i
$352$	−1.31514	+	6.77527i	−0.0700970	+	0.361123i
$353$	−23.0583	−	6.17845i	−1.22727	−	0.328846i	−0.413754	−	0.910389i	$-0.635782\pi$
$353$	−23.0583	−	6.17845i	−1.22727	−	0.328846i	−0.813516	+	0.581543i	$0.802449\pi$
$354$	1.85210	−	9.35636i	0.0984380	−	0.497285i
$355$	0.657260	−	7.31376i	0.0348837	−	0.388174i
$356$	−3.75296	−	28.1046i	−0.198906	−	1.48954i
$357$	21.8158	−	33.9318i	1.15462	−	1.79586i
$358$	−0.322512	−	4.85181i	−0.0170453	−	0.256426i
$359$	4.67903	−	8.10432i	0.246950	−	0.427730i	−0.715728	−	0.698379i	$-0.753905\pi$
$359$	4.67903	−	8.10432i	0.246950	−	0.427730i	0.962678	+	0.270649i	$0.0872384\pi$
$360$	−8.98359	−	3.94841i	−0.473477	−	0.208100i
$361$	−9.34286	−	16.1823i	−0.491730	−	0.851701i
$362$	−17.5605	−	8.63967i	−0.922957	−	0.454091i
$363$	−14.3487	+	14.3487i	−0.753111	+	0.753111i
$364$	3.53845	−	19.8002i	0.185465	−	1.03781i
$365$	−7.11513	−	2.60872i	−0.372423	−	0.136547i
$366$	12.7290	−	4.33404i	0.665353	−	0.226544i
$367$	−5.81283	−	1.55754i	−0.303427	−	0.0813030i	0.103893	−	0.994588i	$-0.466870\pi$
$367$	−5.81283	−	1.55754i	−0.303427	−	0.0813030i	−0.407320	+	0.913285i	$0.633537\pi$
$368$	0.0901135	+	24.3534i	0.00469749	+	1.26951i
$369$	−15.6489	−	9.03490i	−0.814649	−	0.470338i
$370$	13.5904	+	3.98239i	0.706531	+	0.207035i
$371$	−3.14902	+	9.84449i	−0.163489	+	0.511101i
$372$	22.9794	+	17.5652i	1.19142	+	0.910714i
$373$	4.64553	−	1.24477i	0.240536	−	0.0644515i	−0.136537	−	0.990635i	$-0.543597\pi$
$373$	4.64553	−	1.24477i	0.240536	−	0.0644515i	0.377073	+	0.926183i	$0.376931\pi$
$374$	−2.39449	+	12.0964i	−0.123816	+	0.625488i
$375$	20.5720	+	12.0722i	1.06234	+	0.623405i
$376$	−2.68054	−	5.39779i	−0.138239	−	0.278370i
$377$	17.1046	+	17.1046i	0.880933	+	0.880933i
$378$	−11.1107	+	3.19954i	−0.571474	+	0.164567i
$379$			22.3416i			1.14761i	0.818992	+	0.573805i	$0.194533\pi$
$379$			22.3416i			1.14761i	−0.818992	+	0.573805i	$0.805467\pi$
$380$	−0.108083	−	2.50475i	−0.00554452	−	0.128491i
$381$	34.9747	−	20.1926i	1.79181	−	1.03450i
$382$	12.1292	−	8.12070i	0.620583	−	0.415491i
$383$	−19.1169	+	5.12236i	−0.976828	+	0.261740i	−0.711708	−	0.702475i	$-0.752078\pi$
$383$	−19.1169	+	5.12236i	−0.976828	+	0.261740i	−0.265120	+	0.964215i	$0.585412\pi$
$384$	7.61046	−	22.9059i	0.388370	−	1.16891i
$385$	2.71869	+	6.68642i	0.138557	+	0.340772i
$386$	5.92974	−	6.77420i	0.301816	−	0.344798i
$387$	7.66636	−	2.05420i	0.389703	−	0.104421i
$388$	−2.57662	+	19.8552i	−0.130808	+	1.00799i
$389$	−6.97791	−	12.0861i	−0.353794	−	0.612789i	0.633117	−	0.774056i	$-0.281775\pi$
$389$	−6.97791	−	12.0861i	−0.353794	−	0.612789i	−0.986911	+	0.161267i	$0.948442\pi$
$390$	−25.6377	−	0.596200i	−1.29822	−	0.0301898i
$391$			43.5116i			2.20048i
$392$	19.6930	−	2.04636i	0.994644	−	0.103357i
$393$	−2.78352	+	2.78352i	−0.140410	+	0.140410i
$394$	−2.50819	−	7.36648i	−0.126361	−	0.371118i
$395$	11.0295	−	15.6730i	0.554955	−	0.788592i
$396$	−2.99939	+	2.31034i	−0.150725	+	0.116099i
$397$	9.60768	+	35.8563i	0.482195	+	1.79958i	0.592371	+	0.805666i	$0.298192\pi$
$397$	9.60768	+	35.8563i	0.482195	+	1.79958i	−0.110175	+	0.993912i	$0.535141\pi$
$398$	−4.68048	+	0.311124i	−0.234611	+	0.0155952i
$399$	2.12807	+	2.34186i	0.106537	+	0.117240i
$400$	−8.47081	+	18.1175i	−0.423540	+	0.905877i
$401$	5.22042	−	9.04204i	0.260696	−	0.451538i	−0.705731	−	0.708480i	$-0.749381\pi$
$401$	5.22042	−	9.04204i	0.260696	−	0.451538i	0.966427	+	0.256942i	$0.0827148\pi$
$402$	2.54467	+	3.80075i	0.126917	+	0.189564i
$403$	24.8889	+	6.66896i	1.23980	+	0.332204i
$404$	−2.51736	−	1.03727i	−0.125243	−	0.0516062i
$405$	10.5750	+	22.8185i	0.525475	+	1.13386i
$406$	−11.5202	+	20.8385i	−0.571739	+	1.03420i
$407$	3.86356	−	3.86356i	0.191510	−	0.191510i
$408$	13.7487	−	40.8747i	0.680662	−	2.02360i
$409$	13.0105	−	7.51159i	0.643326	−	0.371424i	−0.142569	−	0.989785i	$-0.545536\pi$
$409$	13.0105	−	7.51159i	0.643326	−	0.371424i	0.785894	+	0.618361i	$0.212203\pi$
$410$	−19.1507	+	31.4575i	−0.945784	+	1.55358i
$411$	19.1332	−	33.1397i	0.943771	−	1.63466i
$412$	2.48884	+	1.90245i	0.122616	+	0.0937270i
$413$	7.43482	−	3.83112i	0.365844	−	0.188517i
$414$	−8.79921	+	10.0523i	−0.432457	+	0.494044i
$415$	22.8002	−	19.0401i	1.11922	−	0.934643i
$416$	−1.50557	−	21.4499i	−0.0738165	−	1.05167i
$417$	1.06444	−	3.97254i	0.0521257	−	0.194536i
$418$	−0.867919	−	0.427013i	−0.0424513	−	0.0208859i
$419$		−	36.9931i		−	1.80723i	−0.428343	−	0.903616i	$-0.640903\pi$
$419$		−	36.9931i		−	1.80723i	0.428343	−	0.903616i	$-0.359097\pi$
$420$	−6.41955	−	24.4133i	−0.313242	−	1.19125i
$421$			3.40862i			0.166126i	0.996544	+	0.0830630i	$0.0264703\pi$
$421$			3.40862i			0.166126i	−0.996544	+	0.0830630i	$0.973530\pi$
$422$	7.96800	−	16.1953i	0.387876	−	0.788373i
$423$	0.855667	−	3.19339i	0.0416039	−	0.155268i
$424$	−0.692072	+	11.0278i	−0.0336100	+	0.535559i
$425$	−15.2542	+	32.3138i	−0.739936	+	1.56745i
$426$	7.45547	+	6.52608i	0.361219	+	0.316190i
$427$	9.91832	+	6.37681i	0.479981	+	0.308595i
$428$	−10.1133	−	7.73053i	−0.488845	−	0.373669i
$429$	−4.94709	+	8.56861i	−0.238848	+	0.413697i
$430$	−3.82229	−	15.7180i	−0.184327	−	0.757990i
$431$	29.1474	−	16.8283i	1.40398	−	0.810588i	0.409182	−	0.912453i	$-0.365814\pi$
$431$	29.1474	−	16.8283i	1.40398	−	0.810588i	0.994798	+	0.101865i	$0.0324808\pi$
$432$	−10.6816	+	6.21984i	−0.513919	+	0.299252i
$433$	0.589554	−	0.589554i	0.0283322	−	0.0283322i	−0.692799	−	0.721131i	$-0.743623\pi$
$433$	0.589554	−	0.589554i	0.0283322	−	0.0283322i	0.721131	+	0.692799i	$0.243623\pi$
$434$	0.471312	+	25.3591i	0.0226237	+	1.21728i
$435$	28.5029	+	10.4504i	1.36661	+	0.501059i
$436$	1.79930	−	4.36673i	0.0861708	−	0.209128i
$437$	−3.29685	−	0.883387i	−0.157710	−	0.0422581i
$438$	8.49688	−	5.68881i	0.405997	−	0.271822i
$439$	0.500595	−	0.867056i	0.0238921	−	0.0413823i	−0.853832	−	0.520548i	$-0.825728\pi$
$439$	0.500595	−	0.867056i	0.0238921	−	0.0413823i	0.877724	+	0.479166i	$0.159061\pi$
$440$	4.56535	+	6.22092i	0.217645	+	0.296571i
$441$	8.84469	+	6.30339i	0.421176	+	0.300161i
$442$	−2.54812	−	38.3334i	−0.121202	−	1.82333i
$443$	−10.2720	−	38.3356i	−0.488037	−	1.82138i	−0.565979	−	0.824419i	$-0.691502\pi$
$443$	−10.2720	−	38.3356i	−0.488037	−	1.82138i	0.0779427	−	0.996958i	$-0.475165\pi$
$444$	−15.1384	+	11.6607i	−0.718437	+	0.553391i
$445$	−25.9249	−	18.2441i	−1.22896	−	0.864852i
$446$	23.1384	−	7.87832i	1.09564	−	0.373049i
$447$	−5.39739	+	5.39739i	−0.255288	+	0.255288i
$448$	19.8794	−	7.26688i	0.939216	−	0.343328i
$449$		−	13.6632i		−	0.644807i	−0.946602	−	0.322404i	$-0.895509\pi$
$449$		−	13.6632i		−	0.644807i	0.946602	−	0.322404i	$-0.104491\pi$
$450$	−10.0588	+	4.38052i	−0.474177	+	0.206500i
$451$	7.10451	+	12.3054i	0.334538	+	0.579438i
$452$	−9.86330	−	1.27997i	−0.463931	−	0.0602046i
$453$	−15.6877	+	4.20350i	−0.737072	+	0.197498i
$454$	26.9752	+	23.6125i	1.26601	+	1.10819i
$455$	−13.5733	−	17.9298i	−0.636324	−	0.840560i
$456$	2.81791	+	1.87158i	0.131961	+	0.0876447i
$457$	−24.5971	+	6.59076i	−1.15060	+	0.308303i	−0.783206	−	0.621762i	$-0.786417\pi$
$457$	−24.5971	+	6.59076i	−1.15060	+	0.308303i	−0.367395	+	0.930065i	$0.619750\pi$
$458$	12.6338	+	18.8700i	0.590337	+	0.881735i
$459$	−19.1255	+	11.0421i	−0.892700	+	0.515400i
$460$	20.0653	+	18.4052i	0.935549	+	0.858149i
$461$		−	26.8660i		−	1.25127i	−0.780114	−	0.625637i	$-0.784839\pi$
$461$		−	26.8660i		−	1.25127i	0.780114	−	0.625637i	$-0.215161\pi$
$462$	−9.45265	−	2.34547i	−0.439777	−	0.109121i
$463$	−21.2847	−	21.2847i	−0.989182	−	0.989182i	0.0107599	−	0.999942i	$-0.496575\pi$
$463$	−21.2847	−	21.2847i	−0.989182	−	0.989182i	−0.999942	+	0.0107599i	$0.996575\pi$
$464$	−6.49720	+	24.6118i	−0.301625	+	1.14257i
$465$	31.8597	−	5.54026i	1.47746	−	0.256923i
$466$	−7.01591	−	1.38881i	−0.325006	−	0.0643352i
$467$	−5.31797	+	1.42495i	−0.246086	+	0.0659386i	−0.379754	−	0.925088i	$-0.623991\pi$
$467$	−5.31797	+	1.42495i	−0.246086	+	0.0659386i	0.133667	+	0.991026i	$0.457325\pi$
$468$	7.16335	−	9.37131i	0.331126	−	0.433189i
$469$	−1.22201	+	3.82024i	−0.0564270	+	0.176402i
$470$	−6.46619	−	1.89479i	−0.298263	−	0.0874000i
$471$	−9.75494	−	5.63202i	−0.449484	−	0.259510i
$472$	6.70607	−	5.91407i	0.308672	−	0.272217i
$473$	−6.02838	−	1.61530i	−0.277185	−	0.0742715i
$474$	8.33484	+	24.4792i	0.382832	+	1.12437i
$475$	−2.13870	−	1.81184i	−0.0981301	−	0.0831331i
$476$	35.5657	−	12.8520i	1.63015	−	0.589069i
$477$	−4.28603	+	4.28603i	−0.196244	+	0.196244i
$478$	−14.7379	+	29.9552i	−0.674094	+	1.37012i
$479$	3.54516	+	6.14040i	0.161982	+	0.280562i	0.935580	−	0.353116i	$-0.114878\pi$
$479$	3.54516	+	6.14040i	0.161982	+	0.280562i	−0.773597	+	0.633678i	$0.781545\pi$
$480$	−13.0336	−	23.6300i	−0.594900	−	1.07856i
$481$	−8.51151	+	14.7424i	−0.388092	+	0.672194i
$482$	7.15071	−	0.475326i	0.325706	−	0.0216505i
$483$	−34.3270	−	1.64179i	−1.56193	−	0.0747040i
$484$	−18.8555	+	2.51787i	−0.857069	+	0.114449i
$485$	14.3482	+	17.1817i	0.651520	+	0.780182i
$486$	−20.4281	−	4.04376i	−0.926637	−	0.183429i
$487$	9.87498	+	2.64599i	0.447478	+	0.119901i	0.475519	−	0.879705i	$-0.342260\pi$
$487$	9.87498	+	2.64599i	0.447478	+	0.119901i	−0.0280412	+	0.999607i	$0.508927\pi$
$488$	11.9477	+	4.01877i	0.540849	+	0.181921i
$489$			9.13447i			0.413075i
$490$	13.2626	−	17.7229i	0.599145	−	0.800641i
$491$	−34.3585			−1.55058			−0.775289	−	0.631607i	$-0.782396\pi$
$491$	−34.3585			−1.55058			−0.775289	+	0.631607i	$0.782396\pi$
$492$	−19.1015	−	45.8748i	−0.861160	−	2.06819i
$493$	−11.7709	+	43.9298i	−0.530137	+	1.97850i
$494$	2.95623	+	0.585188i	0.133007	+	0.0263289i
$495$	−0.378869	+	4.21593i	−0.0170289	+	0.189492i
$496$	7.11467	+	26.1647i	0.319458	+	1.17483i
$497$	−0.415085	+	8.67870i	−0.0186191	+	0.389293i
$498$	2.65841	+	39.9926i	0.119126	+	1.79211i
$499$	−0.357189	−	0.206223i	−0.0159900	−	0.00923182i	0.491984	−	0.870604i	$-0.336272\pi$
$499$	−0.357189	−	0.206223i	−0.0159900	−	0.00923182i	−0.507974	+	0.861373i	$0.669605\pi$
$500$	8.44896	+	20.7030i	0.377849	+	0.925867i
$501$	−32.8405	+	18.9605i	−1.46721	+	0.847093i
$502$	−13.4046	+	27.2454i	−0.598277	+	1.21602i
$503$	−12.5786	−	12.5786i	−0.560851	−	0.560851i	0.368698	−	0.929549i	$-0.379804\pi$
$503$	−12.5786	−	12.5786i	−0.560851	−	0.560851i	−0.929549	+	0.368698i	$0.879804\pi$
$504$	10.8156	+	4.22319i	0.481766	+	0.188116i
$505$	−2.76188	+	1.27996i	−0.122902	+	0.0569576i
$506$	9.94446	−	3.38595i	0.442085	−	0.150524i
$507$	0.800014	−	2.98569i	0.0355299	−	0.132599i
$508$	37.5445	+	4.87218i	1.66577	+	0.216168i
$509$	−8.97397	+	15.5434i	−0.397764	+	0.688948i	−0.993450	−	0.114270i	$-0.963547\pi$
$509$	−8.97397	+	15.5434i	−0.397764	+	0.688948i	0.595685	+	0.803218i	$0.296880\pi$
$510$	−23.1303	−	42.3048i	−1.02423	−	1.87329i
$511$	8.54046	+	2.73189i	0.377808	+	0.120852i
$512$	18.7087	−	12.7273i	0.826815	−	0.562473i
$513$	−0.448360	−	1.67330i	−0.0197956	−	0.0738781i
$514$	3.83811	−	19.3892i	0.169292	−	0.855221i
$515$	3.45065	−	0.600053i	0.152054	−	0.0264415i
$516$	20.1805	+	8.31532i	0.888397	+	0.366062i
$517$	−1.83825	+	1.83825i	−0.0808461	+	0.0808461i
$518$	−16.2634	−	4.03540i	−0.714571	−	0.177305i
$519$	−28.3721			−1.24540
$520$	−18.7552	−	15.0398i	−0.822470	−	0.659539i
$521$	14.4349	+	25.0020i	0.632406	+	1.09536i	0.987059	+	0.160361i	$0.0512657\pi$
$521$	14.4349	+	25.0020i	0.632406	+	1.09536i	−0.354653	+	0.934998i	$0.615401\pi$
$522$	−11.6032	+	7.76852i	−0.507857	+	0.340019i
$523$	−7.14289	−	26.6576i	−0.312337	−	1.16566i	−0.926444	−	0.376433i	$-0.877150\pi$
$523$	−7.14289	−	26.6576i	−0.312337	−	1.16566i	0.614107	−	0.789223i	$-0.289516\pi$
$524$	−3.65780	+	0.488445i	−0.159792	+	0.0213378i
$525$	−24.9172	−	13.2535i	−1.08748	−	0.578431i
$526$	−13.9988	−	12.2537i	−0.610375	−	0.534287i
$527$	12.5385	+	46.7942i	0.546184	+	2.03839i
$528$	−10.4117	+	0.0385258i	−0.453110	+	0.00167662i
$529$	12.1836	−	7.03421i	0.529722	−	0.305835i
$530$	8.52997	+	8.93614i	0.370518	+	0.388161i
$531$	4.90489			0.212854
$532$	0.251718	+	2.95572i	0.0109134	+	0.128147i
$533$	−31.3028	−	31.3028i	−1.35587	−	1.35587i
$534$	40.4914	−	13.7868i	1.75224	−	0.596612i
$535$	−14.0216	+	2.43829i	−0.606206	+	0.105417i
$536$	−0.268565	+	4.27945i	−0.0116002	+	0.184844i
$537$	7.08551	−	1.89856i	0.305762	−	0.0819287i
$538$	16.7389	−	1.11268i	0.721666	−	0.0479710i
$539$	−3.54485	−	7.77003i	−0.152688	−	0.334679i
$540$	−2.99796	+	13.4904i	−0.129011	+	0.580535i
$541$	−38.5562	−	22.2604i	−1.65766	−	0.957050i	−0.973791	−	0.227444i	$-0.926963\pi$
$541$	−38.5562	−	22.2604i	−1.65766	−	0.957050i	−0.683868	−	0.729606i	$-0.739703\pi$
$542$	19.8712	−	13.3041i	0.853540	−	0.571460i
$543$	7.64133	−	28.5178i	0.327921	−	1.22382i
$544$	33.5101	−	22.6156i	1.43673	−	0.969637i
$545$	−2.22028	−	4.79089i	−0.0951064	−	0.205219i
$546$	30.3379	−	0.563847i	1.29834	−	0.0241304i
$547$	8.11252	+	8.11252i	0.346866	+	0.346866i	0.858941	−	0.512075i	$-0.171123\pi$
$547$	8.11252	+	8.11252i	0.346866	+	0.346866i	−0.512075	+	0.858941i	$0.671123\pi$
$548$	33.1168	−	13.7893i	1.41468	−	0.589049i
$549$	3.45746	+	5.98850i	0.147561	+	0.255583i
$550$	8.57226	+	0.971733i	0.365522	+	0.0414348i
$551$	−3.08955	−	1.78375i	−0.131619	−	0.0759904i
$552$	−36.0131	+	7.26740i	−1.53282	+	0.309321i
$553$	−12.2633	+	19.0741i	−0.521490	+	0.811112i
$554$	−20.9134	+	23.8918i	−0.888527	+	1.01506i
$555$	−1.91221	+	21.2784i	−0.0811689	+	0.903219i
$556$	3.05437	−	2.35270i	0.129534	−	0.0997765i
$557$	−45.0261	−	12.0647i	−1.90782	−	0.511198i	−0.994608	−	0.103707i	$-0.966929\pi$
$557$	−45.0261	−	12.0647i	−1.90782	−	0.511198i	−0.913209	−	0.407491i	$-0.866404\pi$
$558$	−6.56632	+	13.3463i	−0.277974	+	0.564993i
$559$	19.4442			0.822402
$560$	9.11750	−	21.8374i	0.385285	−	0.922798i
$561$	−18.6023			−0.785390
$562$	−0.0908186	+	0.184592i	−0.00383095	+	0.00778656i
$563$	0.0909503	+	0.0243700i	0.00383310	+	0.00102708i	0.260735	−	0.965410i	$-0.416035\pi$
$563$	0.0909503	+	0.0243700i	0.00383310	+	0.00102708i	−0.256902	+	0.966437i	$0.582702\pi$
$564$	7.20272	−	5.54804i	0.303289	−	0.233615i
$565$	−8.53523	+	7.12766i	−0.359080	+	0.299863i
$566$	4.52208	−	5.16608i	0.190077	−	0.217146i
$567$	−13.6307	−	26.4523i	−0.572435	−	1.11089i
$568$	1.83738	+	9.10499i	0.0770946	+	0.382037i
$569$	28.1511	+	16.2530i	1.18015	+	0.681362i	0.956050	−	0.293203i	$-0.0947211\pi$
$569$	28.1511	+	16.2530i	1.18015	+	0.681362i	0.224104	+	0.974565i	$0.428054\pi$
$570$	3.67500	−	0.893684i	0.153929	−	0.0374323i
$571$	−16.0239	−	27.7543i	−0.670581	−	1.16148i	−0.977740	−	0.209822i	$-0.932712\pi$
$571$	−16.0239	−	27.7543i	−0.670581	−	1.16148i	0.307159	−	0.951658i	$-0.400622\pi$
$572$	−8.56270	+	3.56536i	−0.358025	+	0.149075i
$573$	15.5706	+	15.5706i	0.650470	+	0.650470i
$574$	21.0829	−	38.1361i	0.879983	−	1.59177i
$575$	30.3383	−	2.51008i	1.26519	−	0.104678i
$576$	12.3152	+	1.55184i	0.513133	+	0.0646599i
$577$	−4.78592	+	17.8613i	−0.199240	+	0.743575i	0.791888	+	0.610666i	$0.209098\pi$
$577$	−4.78592	+	17.8613i	−0.199240	+	0.743575i	−0.991128	+	0.132909i	$0.957568\pi$
$578$	40.0429	−	26.8095i	1.66557	−	1.11513i
$579$	11.7619	+	6.79073i	0.488807	+	0.282213i
$580$	15.2790	+	24.0103i	0.634428	+	0.996972i
$581$	−26.0117	+	23.6371i	−1.07915	+	0.980633i
$582$	−30.1376	+	2.00332i	−1.24924	+	0.0830404i
$583$	4.60389	−	1.23361i	0.190674	−	0.0510909i
$584$	9.56704	+	0.600397i	0.395887	+	0.0248446i
$585$	−2.25940	−	12.9928i	−0.0934146	−	0.537188i
$586$	−31.7065	+	10.7956i	−1.30978	+	0.445964i
$587$	−18.9466	−	18.9466i	−0.782009	−	0.782009i	0.198160	−	0.980170i	$-0.436503\pi$
$587$	−18.9466	−	18.9466i	−0.782009	−	0.782009i	−0.980170	+	0.198160i	$0.936503\pi$
$588$	8.79715	+	28.5433i	0.362788	+	1.17710i
$589$	−3.80013			−0.156581
$590$	0.232409	−	9.99402i	0.00956811	−	0.411447i
$591$	10.1666	−	5.86968i	0.418198	−	0.241446i
$592$	−17.9134	+	0.0662839i	−0.736235	+	0.00272425i
$593$	−6.29594	−	23.4968i	−0.258543	−	0.964896i	−0.966085	−	0.258225i	$-0.916863\pi$
$593$	−6.29594	−	23.4968i	−0.258543	−	0.964896i	0.707542	−	0.706671i	$-0.249804\pi$
$594$	4.01193	+	3.51180i	0.164611	+	0.144091i
$595$	16.4342	−	38.9556i	0.673736	−	1.59702i
$596$	−7.09268	+	0.947122i	−0.290528	+	0.0387956i
$597$	−1.83151	−	6.83530i	−0.0749588	−	0.279750i
$598$	−27.1964	+	18.2085i	−1.11214	+	0.744599i
$599$	0.694948	+	1.20369i	0.0283948	+	0.0491813i	0.879874	−	0.475208i	$-0.157627\pi$
$599$	0.694948	+	1.20369i	0.0283948	+	0.0491813i	−0.851479	+	0.524389i	$0.824294\pi$
$600$	−29.2928	−	7.22825i	−1.19587	−	0.295092i
$601$	−8.47901			−0.345866			−0.172933	−	0.984934i	$-0.555324\pi$
$601$	−8.47901			−0.345866			−0.172933	+	0.984934i	$0.555324\pi$
$602$	5.29644	+	18.3924i	0.215867	+	0.749618i
$603$	−1.66323	+	1.66323i	−0.0677320	+	0.0677320i
$604$	−14.0771	−	5.80042i	−0.572787	−	0.236016i
$605$	−12.2400	+	17.3931i	−0.497628	+	0.707130i
$606$	0.797581	−	4.02919i	0.0323995	−	0.163674i
$607$	−0.181997	−	0.679222i	−0.00738702	−	0.0275688i	0.962134	−	0.272577i	$-0.0878760\pi$
$607$	−0.181997	−	0.679222i	−0.00738702	−	0.0275688i	−0.969521	+	0.245008i	$0.921209\pi$
$608$	1.03324	+	2.99819i	0.0419033	+	0.121593i
$609$	−34.2127	−	10.9438i	−1.38637	−	0.443467i
$610$	12.3658	−	6.76104i	0.500675	−	0.273747i
$611$	4.04970	−	7.01429i	0.163833	−	0.283768i
$612$	21.9927	+	2.85401i	0.889003	+	0.115367i
$613$	5.92389	−	22.1083i	0.239264	−	0.892945i	−0.736917	−	0.675984i	$-0.763719\pi$
$613$	5.92389	−	22.1083i	0.239264	−	0.892945i	0.976180	−	0.216961i	$-0.0696144\pi$
$614$	10.9762	−	3.73725i	0.442964	−	0.150823i
$615$	−52.1625	−	19.1251i	−2.10340	−	0.771198i
$616$	−5.70491	−	7.12834i	−0.229857	−	0.287209i
$617$	19.8493	+	19.8493i	0.799104	+	0.799104i	0.982954	−	0.183851i	$-0.0588563\pi$
$617$	19.8493	+	19.8493i	0.799104	+	0.799104i	−0.183851	+	0.982954i	$0.558856\pi$
$618$	−2.08627	+	4.24043i	−0.0839222	+	0.170575i
$619$	−23.9394	+	13.8214i	−0.962206	+	0.555530i	−0.896851	−	0.442332i	$-0.854151\pi$
$619$	−23.9394	+	13.8214i	−0.962206	+	0.555530i	−0.0653547	+	0.997862i	$0.520818\pi$
$620$	26.8828	+	14.0117i	1.07964	+	0.562722i
$621$	16.2934	+	9.40697i	0.653830	+	0.377489i
$622$	1.80183	+	27.1063i	0.0722467	+	1.08686i
$623$	31.5507	+	20.2849i	1.26405	+	0.812698i
$624$	31.3016	−	8.51151i	1.25307	−	0.340733i
$625$	23.4106	+	8.77180i	0.936424	+	0.350872i
$626$	−31.6705	−	6.26921i	−1.26581	−	0.250568i
$627$	0.377670	−	1.40948i	0.0150827	−	0.0562894i
$628$	−4.05899	−	9.74822i	−0.161971	−	0.388996i
$629$	−32.0054			−1.27614
$630$	11.6746	−	5.67632i	0.465126	−	0.226150i
$631$			1.78163i			0.0709256i	0.999371	+	0.0354628i	$0.0112905\pi$
$631$			1.78163i			0.0709256i	−0.999371	+	0.0354628i	$0.988709\pi$
$632$	−7.72855	+	22.9769i	−0.307425	+	0.913971i
$633$	26.3008	+	7.04727i	1.04536	+	0.280104i
$634$	21.9902	+	4.35298i	0.873342	+	0.172879i
$635$	32.4892	−	27.1313i	1.28929	−	1.07667i
$636$	−16.5223	+	2.20631i	−0.655153	+	0.0874859i
$637$	16.9333	+	20.5246i	0.670921	+	0.813212i
$638$	10.9560	−	0.728274i	0.433752	−	0.0288326i
$639$	−2.54767	+	4.41270i	−0.100784	+	0.174564i
$640$	3.74549	−	25.0194i	0.148054	−	0.988979i
$641$	11.0691	+	19.1723i	0.437205	+	0.757261i	0.997473	−	0.0710506i	$-0.0226352\pi$
$641$	11.0691	+	19.1723i	0.437205	+	0.757261i	−0.560268	+	0.828311i	$0.689302\pi$
$642$	8.47749	−	17.2308i	0.334580	−	0.680046i
$643$	33.1936	−	33.1936i	1.30903	−	1.30903i	0.386911	−	0.922117i	$-0.373542\pi$
$643$	33.1936	−	33.1936i	1.30903	−	1.30903i	0.922117	−	0.386911i	$-0.126458\pi$
$644$	−24.6316	−	20.7654i	−0.970619	−	0.818272i
$645$	22.1407	−	10.2609i	0.871789	−	0.404021i
$646$	1.82622	+	5.36355i	0.0718515	+	0.211026i
$647$	4.33380	+	1.16124i	0.170379	+	0.0456530i	0.343000	−	0.939335i	$-0.388557\pi$
$647$	4.33380	+	1.16124i	0.170379	+	0.0456530i	−0.172621	+	0.984988i	$0.555224\pi$
$648$	−21.0416	−	23.8594i	−0.826592	−	0.937287i
$649$	−3.34019	−	1.92846i	−0.131114	−	0.0756986i
$650$	−26.5808	+	3.98802i	−1.04258	+	0.156423i
$651$	−37.3898	+	8.12614i	−1.46542	+	0.318489i
$652$	−5.20033	+	6.80322i	−0.203661	+	0.266435i
$653$	−16.1094	+	4.31650i	−0.630409	+	0.168918i	−0.559855	−	0.828590i	$-0.689143\pi$
$653$	−16.1094	+	4.31650i	−0.630409	+	0.168918i	−0.0705538	+	0.997508i	$0.522477\pi$
$654$	6.98921	+	1.38352i	0.273300	+	0.0540999i
$655$	−2.37445	+	3.37410i	−0.0927776	+	0.131837i
$656$	11.8904	−	45.0415i	0.464241	−	1.75857i
$657$	3.71829	+	3.71829i	0.145064	+	0.145064i
$658$	7.73797	+	1.92001i	0.301657	+	0.0748496i
$659$		−	24.1916i		−	0.942371i	−0.882034	−	0.471185i	$-0.843826\pi$
$659$		−	24.1916i		−	0.942371i	0.882034	−	0.471185i	$-0.156174\pi$
$660$	−7.86870	+	8.57841i	−0.306289	+	0.333914i
$661$	1.52079	−	0.878031i	0.0591520	−	0.0341515i	−0.470132	−	0.882596i	$-0.655794\pi$
$661$	1.52079	−	0.878031i	0.0591520	−	0.0341515i	0.529284	+	0.848444i	$0.322460\pi$
$662$	−27.2440	−	40.6921i	−1.05887	−	1.58154i
$663$	55.9815	−	15.0002i	2.17414	−	0.582559i
$664$	−20.7882	+	31.2994i	−0.806737	+	1.21465i
$665$	2.61798	+	2.03609i	0.101521	+	0.0789564i
$666$	−7.39408	−	6.47235i	−0.286515	−	0.250798i
$667$	37.4246	−	10.0279i	1.44909	−	0.388282i
$668$	−35.2535	−	4.57488i	−1.36400	−	0.177007i
$669$	18.4369	+	31.9337i	0.712813	+	1.23463i
$670$	3.31013	+	3.46775i	0.127881	+	0.133971i
$671$		−	5.43749i		−	0.209912i
$672$	16.5774	+	27.2900i	0.639487	+	1.05273i
$673$	22.3958	−	22.3958i	0.863296	−	0.863296i	−0.128424	−	0.991719i	$-0.540992\pi$
$673$	22.3958	−	22.3958i	0.863296	−	0.863296i	0.991719	+	0.128424i	$0.0409917\pi$
$674$	−35.6870	+	12.1509i	−1.37461	+	0.468037i
$675$	8.80234	+	12.6981i	0.338802	+	0.488751i
$676$	2.29562	−	1.76825i	0.0882930	−	0.0680095i
$677$	6.06600	+	22.6386i	0.233135	+	0.870073i	0.978980	+	0.203954i	$0.0653793\pi$
$677$	6.06600	+	22.6386i	0.233135	+	0.870073i	−0.745845	+	0.666120i	$0.767954\pi$
$678$	−0.995174	−	14.9712i	−0.0382194	−	0.574966i
$679$	−17.8124	−	19.6019i	−0.683579	−	0.752251i
$680$	6.85731	−	44.6763i	0.262966	−	1.71326i
$681$	−27.0410	+	46.8364i	−1.03621	+	1.79478i
$682$	9.71898	−	6.50703i	0.372159	−	0.249167i
$683$	−26.6105	−	7.13026i	−1.01822	−	0.272832i	−0.289161	−	0.957280i	$-0.593376\pi$
$683$	−26.6105	−	7.13026i	−1.01822	−	0.272832i	−0.729061	+	0.684448i	$0.760043\pi$
$684$	−0.662749	+	1.60843i	−0.0253409	+	0.0614998i
$685$	13.8063	−	37.6559i	0.527513	−	1.43876i
$686$	−14.8018	+	21.6080i	−0.565136	+	0.824998i
$687$	−24.2239	+	24.2239i	−0.924199	+	0.924199i
$688$	10.2962	+	17.6820i	0.392537	+	0.674122i
$689$	−12.8601	+	7.42480i	−0.489932	+	0.282862i
$690$	−21.3592	+	35.0853i	−0.813131	+	1.33568i
$691$	−10.5132	+	18.2094i	−0.399942	+	0.692719i	−0.993718	−	0.111911i	$-0.964303\pi$
$691$	−10.5132	+	18.2094i	−0.399942	+	0.692719i	0.593777	+	0.804630i	$0.297636\pi$
$692$	−21.1311	−	16.1524i	−0.803284	−	0.614024i
$693$	0.239270	−	5.00273i	0.00908913	−	0.190038i
$694$	−23.1302	−	20.2468i	−0.878010	−	0.768558i
$695$	0.385814	−	4.29321i	0.0146348	−	0.162851i
$696$	−38.3252	−	2.40517i	−1.45271	−	0.0911676i
$697$	21.5418	−	80.3949i	0.815952	−	3.04517i
$698$	8.87068	−	18.0300i	0.335760	−	0.682445i
$699$		−	10.7894i		−	0.408091i
$700$	−11.0127	−	24.0566i	−0.416240	−	0.909255i
$701$		−	8.80433i		−	0.332535i	−0.986081	−	0.166267i	$-0.946829\pi$
$701$		−	8.80433i		−	0.332535i	0.986081	−	0.166267i	$-0.0531715\pi$
$702$	−14.9052	−	7.33330i	−0.562561	−	0.276778i
$703$	0.649785	−	2.42503i	0.0245071	−	0.0914617i
$704$	−7.77640	−	5.89876i	−0.293084	−	0.222318i
$705$	0.909813	−	10.1241i	0.0342656	−	0.381295i
$706$	22.2358	−	25.4025i	0.836856	−	0.956034i
$707$	3.20170	−	1.64982i	0.120412	−	0.0620477i
$708$	10.7164	+	8.19155i	0.402748	+	0.307857i
$709$	5.43606	−	9.41553i	0.204155	−	0.353607i	−0.745708	−	0.666273i	$-0.767889\pi$
$709$	5.43606	−	9.41553i	0.204155	−	0.353607i	0.949863	+	0.312666i	$0.101222\pi$
$710$	8.87043	+	5.40013i	0.332901	+	0.202663i
$711$	−11.5166	+	6.64910i	−0.431905	+	0.249361i
$712$	38.0064	+	12.7839i	1.42435	+	0.479097i
$713$	29.1831	−	29.1831i	1.09292	−	1.09292i
$714$	29.4377	+	48.8673i	1.10168	+	1.82881i
$715$	−3.56977	+	9.73634i	−0.133502	+	0.364119i
$716$	6.35805	+	2.61982i	0.237611	+	0.0979072i
$717$	−48.6467	−	13.0348i	−1.81674	−	0.486795i
$718$	7.36276	+	10.9971i	0.274776	+	0.410409i
$719$	2.30066	−	3.98487i	0.0858003	−	0.148611i	−0.819932	−	0.572461i	$-0.805989\pi$
$719$	2.30066	−	3.98487i	0.0858003	−	0.148611i	0.905732	+	0.423851i	$0.139322\pi$
$720$	10.6189	−	8.93465i	0.395745	−	0.332975i
$721$	−4.04960	+	0.880124i	−0.150815	+	0.0327775i
$722$	26.3674	−	1.75271i	0.981294	−	0.0652291i
$723$	2.79814	+	10.4428i	0.104064	+	0.388371i
$724$	21.9266	−	16.8894i	0.814895	−	0.627690i
$725$	31.3088	+	5.67303i	1.16278	+	0.210691i
$726$	−9.24960	−	27.1659i	−0.343285	−	1.00822i
$727$	7.56189	−	7.56189i	0.280455	−	0.280455i	−0.552836	−	0.833290i	$-0.686454\pi$
$727$	7.56189	−	7.56189i	0.280455	−	0.280455i	0.833290	+	0.552836i	$0.186454\pi$
$728$	22.9163	+	16.8517i	0.849334	+	0.624565i
$729$			2.32683i			0.0861788i
$730$	7.75242	−	7.40006i	0.286930	−	0.273888i
$731$	18.2788	+	31.6598i	0.676065	+	1.17098i
$732$	−2.44724	+	18.8582i	−0.0904527	+	0.697019i
$733$	25.7175	−	6.89100i	0.949899	−	0.254525i	0.249580	−	0.968354i	$-0.419708\pi$
$733$	25.7175	−	6.89100i	0.949899	−	0.254525i	0.700320	+	0.713829i	$0.253041\pi$
$734$	5.60549	−	6.40377i	0.206902	−	0.236368i
$735$	30.1125	+	14.4350i	1.11072	+	0.532445i
$736$	−30.9594	−	15.0899i	−1.14118	−	0.556220i
$737$	1.78658	−	0.478713i	0.0658095	−	0.0176336i
$738$	21.2347	−	14.2170i	0.781660	−	0.523335i
$739$	−39.1224	+	22.5873i	−1.43914	+	0.830888i	−0.997790	−	0.0664466i	$-0.978834\pi$
$739$	−39.1224	+	22.5873i	−1.43914	+	0.830888i	−0.441351	+	0.897335i	$0.645500\pi$
$740$	−13.5382	+	14.7592i	−0.497673	+	0.542560i
$741$			4.54622i			0.167009i
$742$	−10.5262	−	10.1420i	−0.386427	−	0.372326i
$743$	30.0474	+	30.0474i	1.10233	+	1.10233i	0.994129	+	0.108205i	$0.0345103\pi$
$743$	30.0474	+	30.0474i	1.10233	+	1.10233i	0.108205	+	0.994129i	$0.465490\pi$
$744$	−36.6358	+	18.1933i	−1.34313	+	0.667000i
$745$	−4.60420	+	6.54258i	−0.168685	+	0.239701i
$746$	−1.32074	+	6.67206i	−0.0483557	+	0.244282i
$747$	−19.9093	+	5.33469i	−0.728444	+	0.195186i
$748$	−13.8547	−	10.5904i	−0.506579	−	0.387225i
$749$	16.4554	−	3.57635i	0.601267	−	0.130677i
$750$	−28.1625	+	18.5680i	−1.02835	+	0.678006i
$751$	−29.7193	−	17.1584i	−1.08447	−	0.626120i	−0.152373	−	0.988323i	$-0.548691\pi$
$751$	−29.7193	−	17.1584i	−1.08447	−	0.626120i	−0.932099	+	0.362203i	$0.882025\pi$
$752$	8.52302	−	0.0315373i	0.310803	−	0.00115005i
$753$	−44.2459	−	11.8557i	−1.61241	−	0.432044i
$754$	−32.3836	+	11.0262i	−1.17934	+	0.401549i
$755$	−15.4444	+	7.15754i	−0.562080	+	0.260490i
$756$	2.87656	−	16.0965i	0.104620	−	0.585422i
$757$	4.41129	−	4.41129i	0.160331	−	0.160331i	−0.622382	−	0.782713i	$-0.713835\pi$
$757$	4.41129	−	4.41129i	0.160331	−	0.160331i	0.782713	+	0.622382i	$0.213835\pi$
$758$	−28.3503	−	13.9482i	−1.02973	−	0.506622i
$759$	7.92384	+	13.7245i	0.287617	+	0.498167i
$760$	3.24587	+	1.42661i	0.117740	+	0.0517484i
$761$	8.27236	−	14.3282i	0.299873	−	0.519395i	−0.676234	−	0.736687i	$-0.736389\pi$
$761$	8.27236	−	14.3282i	0.299873	−	0.519395i	0.976107	+	0.217292i	$0.0697224\pi$
$762$	3.78811	+	56.9877i	0.137229	+	2.06444i
$763$	2.86185	+	5.55382i	0.103606	+	0.201062i
$764$	2.73229	+	20.4612i	0.0988507	+	0.740260i
$765$	19.0314	−	15.8929i	0.688083	−	0.574610i
$766$	5.43500	−	27.4563i	0.196375	−	0.992037i
$767$	11.6069	+	3.11007i	0.419102	+	0.112298i
$768$	24.3151	+	23.9578i	0.877395	+	0.864504i
$769$			26.3718i			0.950991i	0.879718	+	0.475496i	$0.157731\pi$
$769$			26.3718i			0.950991i	−0.879718	+	0.475496i	$0.842269\pi$
$770$	−10.1820	−	0.724573i	−0.366935	−	0.0261118i
$771$	29.8176			1.07385
$772$	4.89407	+	11.7538i	0.176141	+	0.423028i
$773$	11.1312	−	41.5422i	0.400362	−	1.49417i	−0.412091	−	0.911143i	$-0.635201\pi$
$773$	11.1312	−	41.5422i	0.400362	−	1.49417i	0.812453	−	0.583027i	$-0.198132\pi$
$774$	−2.17957	+	11.0107i	−0.0783432	+	0.395771i
$775$	31.9037	−	11.4418i	1.14602	−	0.411003i
$776$	−23.5865	−	15.6655i	−0.846708	−	0.562359i
$777$	1.20763	−	25.2496i	0.0433237	−	0.905823i
$778$	19.6930	−	1.30905i	0.706030	−	0.0469316i
$779$	5.65412	+	3.26441i	0.202580	+	0.116960i
$780$	16.7626	−	32.1607i	0.600198	−	1.15154i
$781$	3.46989	−	2.00334i	0.124162	−	0.0716852i
$782$	−55.2140	−	27.1651i	−1.97445	−	0.971420i
$783$	13.9051	+	13.9051i	0.496928	+	0.496928i
$784$	−9.69792	+	26.2669i	−0.346354	+	0.938104i
$785$	−11.0843	−	4.06401i	−0.395617	−	0.145051i
$786$	−1.79434	−	5.26993i	−0.0640020	−	0.187972i
$787$	1.15631	−	4.31539i	0.0412179	−	0.153827i	−0.942250	−	0.334911i	$-0.891294\pi$
$787$	1.15631	−	4.31539i	0.0412179	−	0.153827i	0.983468	+	0.181084i	$0.0579605\pi$
$788$	10.9136	+	1.41626i	0.388780	+	0.0504523i
$789$	14.0329	−	24.3057i	0.499585	−	0.865307i
$790$	13.0023	+	23.7808i	0.462599	+	0.846082i
$791$	9.73748	−	8.84855i	0.346225	−	0.314618i
$792$	−1.05913	−	5.24846i	−0.0376347	−	0.186496i
$793$	4.38459	+	16.3635i	0.155701	+	0.581085i
$794$	−51.4980	−	10.1941i	−1.82760	−	0.361775i
$795$	−10.7254	+	15.2409i	−0.380392	+	0.540538i
$796$	2.52731	−	6.13353i	0.0895780	−	0.217397i
$797$	21.9618	−	21.9618i	0.777929	−	0.777929i	−0.201550	−	0.979478i	$-0.564598\pi$
$797$	21.9618	−	21.9618i	0.777929	−	0.777929i	0.979478	+	0.201550i	$0.0645978\pi$
$798$	−4.30029	+	1.23835i	−0.152229	+	0.0438371i
$799$	15.2279			0.538724
$800$	−17.7017	−	22.0601i	−0.625851	−	0.779943i
$801$	10.9984	+	19.0497i	0.388608	+	0.673089i
$802$	8.21468	+	12.2695i	0.290070	+	0.433253i
$803$	−1.07020	−	3.99404i	−0.0377666	−	0.140947i
$804$	−6.41163	+	0.856179i	−0.226121	+	0.0301951i
$805$	−35.7411	+	4.46863i	−1.25971	+	0.157499i
$806$	−24.0011	+	27.4191i	−0.845403	+	0.965798i
$807$	6.55008	+	24.4452i	0.230574	+	0.860513i
$808$	2.88787	−	2.54681i	0.101595	−	0.0895965i
$809$	−15.7868	+	9.11454i	−0.555036	+	0.320450i	−0.751151	−	0.660131i	$-0.770501\pi$
$809$	−15.7868	+	9.11454i	−0.555036	+	0.320450i	0.196115	+	0.980581i	$0.437167\pi$
$810$	−35.5576	−	0.826884i	−1.24937	−	0.0290537i
$811$	6.86574			0.241089			0.120544	−	0.992708i	$-0.461536\pi$
$811$	6.86574			0.241089			0.120544	+	0.992708i	$0.461536\pi$
$812$	−19.2507	−	27.6284i	−0.675568	−	0.969566i
$813$	25.5092	+	25.5092i	0.894646	+	0.894646i
$814$	2.49057	+	7.31475i	0.0872945	+	0.256382i
$815$	1.64024	+	9.43232i	0.0574551	+	0.330400i
$816$	43.2843	+	42.9651i	1.51525	+	1.50408i
$817$	−2.76994	+	0.742203i	−0.0969079	+	0.0259664i
$818$	1.40917	+	21.1992i	0.0492703	+	0.741213i
$819$	3.31396	+	15.2481i	0.115799	+	0.532811i
$820$	−27.9619	−	43.9406i	−0.976470	−	1.53447i
$821$	12.7231	+	7.34570i	0.444040	+	0.256367i	0.705310	−	0.708899i	$-0.250808\pi$
$821$	12.7231	+	7.34570i	0.444040	+	0.256367i	−0.261270	+	0.965266i	$0.584141\pi$
$822$	30.1073	+	44.9687i	1.05011	+	1.56846i
$823$	−14.6436	+	54.6507i	−0.510444	+	1.90500i	−0.0947461	+	0.995501i	$0.530204\pi$
$823$	−14.6436	+	54.6507i	−0.510444	+	1.90500i	−0.415698	+	0.909503i	$0.636463\pi$
$824$	−3.96794	+	1.97048i	−0.138230	+	0.0686448i
$825$	1.07312	+	12.9704i	0.0373613	+	0.451570i
$826$	0.219797	+	11.8262i	0.00764771	+	0.411487i
$827$	27.8631	+	27.8631i	0.968896	+	0.968896i	0.999531	−	0.0306351i	$-0.00975299\pi$
$827$	27.8631	+	27.8631i	0.968896	+	0.968896i	−0.0306351	+	0.999531i	$0.509753\pi$
$828$	−7.26237	−	17.4416i	−0.252385	−	0.606136i
$829$	3.68561	+	6.38366i	0.128006	+	0.221714i	0.922904	−	0.385030i	$-0.125809\pi$
$829$	3.68561	+	6.38366i	0.128006	+	0.221714i	−0.794898	+	0.606744i	$0.792476\pi$
$830$	9.92640	+	40.8193i	0.344550	+	1.41686i
$831$	−41.4827	−	23.9501i	−1.43902	−	0.830818i
$832$	28.1587	+	11.4810i	0.976227	+	0.398033i
$833$	−17.5005	+	46.8657i	−0.606356	+	1.62380i
$834$	4.37639	+	3.83084i	0.151542	+	0.132651i
$835$	−30.5067	+	25.4758i	−1.05573	+	0.881626i
$836$	1.08371	−	0.834753i	0.0374810	−	0.0288705i
$837$	20.2333	+	5.42149i	0.699365	+	0.187394i
$838$	46.9423	+	23.0954i	1.62160	+	0.797819i
$839$	12.1927			0.420939			0.210469	−	0.977600i	$-0.432501\pi$
$839$	12.1927			0.420939			0.210469	+	0.977600i	$0.432501\pi$
$840$	34.9870	+	7.09556i	1.20717	+	0.244820i
$841$	11.4971			0.396451
$842$	−4.32536	−	2.12806i	−0.149062	−	0.0733378i
$843$	−0.299774	−	0.0803243i	−0.0103248	−	0.00276651i
$844$	15.5764	+	20.2220i	0.536161	+	0.696068i
$845$	0.289972	−	3.22670i	0.00997533	−	0.111002i
$846$	3.51804	+	3.07949i	0.120953	+	0.105875i
$847$	13.6092	−	21.1675i	0.467619	−	0.727323i
$848$	−13.5617	−	7.76306i	−0.465709	−	0.266585i
$849$	8.96974	+	5.17868i	0.307841	+	0.177732i
$850$	−31.4810	−	39.5308i	−1.07979	−	1.35590i
$851$	13.6330	+	23.6131i	0.467334	+	0.809447i
$852$	−12.9358	+	5.38626i	−0.443174	+	0.184530i
$853$	17.5060	+	17.5060i	0.599392	+	0.599392i	0.940151	−	0.340758i	$-0.110684\pi$
$853$	17.5060	+	17.5060i	0.599392	+	0.599392i	−0.340758	+	0.940151i	$0.610684\pi$
$854$	−14.2840	+	8.60469i	−0.488789	+	0.294446i
$855$	0.817813	+	1.76466i	0.0279686	+	0.0603502i
$856$	16.1236	−	8.00696i	0.551092	−	0.273672i
$857$	−0.175004	+	0.653123i	−0.00597802	+	0.0223103i	−0.968850	−	0.247647i	$-0.920343\pi$
$857$	−0.175004	+	0.653123i	−0.00597802	+	0.0223103i	0.962872	+	0.269957i	$0.0870095\pi$
$858$	−7.78457	−	11.6271i	−0.265761	−	0.396944i
$859$	−15.8036	−	9.12420i	−0.539211	−	0.311314i	0.205548	−	0.978647i	$-0.434102\pi$
$859$	−15.8036	−	9.12420i	−0.539211	−	0.311314i	−0.744759	+	0.667333i	$0.767436\pi$
$860$	22.3317	+	4.96274i	0.761504	+	0.169228i
$861$	62.6119	+	20.0281i	2.13381	+	0.682555i
$862$	3.15696	+	47.4927i	0.107526	+	1.61761i
$863$	−7.77686	+	2.08380i	−0.264727	+	0.0709335i	−0.388741	−	0.921347i	$-0.627090\pi$
$863$	−7.77686	+	2.08380i	−0.264727	+	0.0709335i	0.124014	+	0.992281i	$0.460423\pi$
$864$	−1.22394	−	17.4376i	−0.0416394	−	0.593238i
$865$	−29.2972	+	5.09466i	−0.996135	+	0.173223i
$866$	0.380045	+	1.11618i	0.0129144	+	0.0379294i
$867$	51.4043	+	51.4043i	1.74578	+	1.74578i
$868$	−32.4736	−	15.2341i	−1.10223	−	0.517078i
$869$	10.4569			0.354727
$870$	−31.0559	+	29.6443i	−1.05289	+	1.00504i
$871$	−4.99049	+	2.88126i	−0.169096	+	0.0976278i
$872$	4.41781	+	5.00944i	0.149606	+	0.169641i
$873$	−4.02011	−	15.0033i	−0.136060	−	0.507783i
$874$	3.17925	−	3.63201i	0.107540	−	0.122855i
$875$	−28.1096	−	9.21139i	−0.950278	−	0.311402i
$876$	1.91406	+	14.3337i	0.0646699	+	0.484291i
$877$	4.12364	+	15.3897i	0.139246	+	0.519672i	0.999944	+	0.0105569i	$0.00336043\pi$
$877$	4.12364	+	15.3897i	0.139246	+	0.519672i	−0.860699	+	0.509115i	$0.829973\pi$
$878$	0.787719	+	1.17655i	0.0265842	+	0.0397065i
$879$	−25.2641	−	43.7586i	−0.852135	−	1.47594i
$880$	−10.7443	+	1.90936i	−0.362189	+	0.0643646i
$881$	−10.1439			−0.341757			−0.170878	−	0.985292i	$-0.554661\pi$
$881$	−10.1439			−0.341757			−0.170878	+	0.985292i	$0.554661\pi$
$882$	−13.5206	+	7.28814i	−0.455261	+	0.245404i
$883$	2.45257	−	2.45257i	0.0825357	−	0.0825357i	−0.664634	−	0.747169i	$-0.731412\pi$
$883$	2.45257	−	2.45257i	0.0825357	−	0.0825357i	0.747169	+	0.664634i	$0.231412\pi$
$884$	50.2339	+	20.6988i	1.68955	+	0.696175i
$885$	14.8578	−	2.58370i	0.499439	−	0.0868502i
$886$	55.0588	+	10.8989i	1.84974	+	0.366157i
$887$	−9.78621	−	36.5226i	−0.328589	−	1.22631i	−0.910655	−	0.413168i	$-0.864422\pi$
$887$	−9.78621	−	36.5226i	−0.328589	−	1.22631i	0.582066	−	0.813141i	$-0.302244\pi$
$888$	−5.34561	−	26.4898i	−0.179387	−	0.888939i
$889$	−37.0655	+	33.6818i	−1.24314	+	1.12965i
$890$	39.3361	−	21.5072i	1.31855	−	0.720923i
$891$	−6.86124	+	11.8840i	−0.229860	+	0.398130i
$892$	−4.44855	+	34.2801i	−0.148948	+	1.14778i
$893$	−0.309162	+	1.15381i	−0.0103457	+	0.0386107i
$894$	−3.47933	−	10.2187i	−0.116366	−	0.341764i
$895$	6.97563	−	3.23278i	0.233170	−	0.108060i
$896$	−3.18979	+	29.7628i	−0.106563	+	0.994306i
$897$	−34.9128	−	34.9128i	−1.16570	−	1.16570i
$898$	17.3379	+	8.53018i	0.578574	+	0.284656i
$899$	37.3583	−	21.5688i	1.24597	−	0.719361i
$900$	0.721239	−	15.4989i	0.0240413	−	0.516631i
$901$	−24.1787	−	13.9596i	−0.805508	−	0.465060i
$902$	−20.0503	+	1.33280i	−0.667604	+	0.0443773i
$903$	−25.6666	+	13.2258i	−0.854130	+	0.440127i
$904$	7.78204	−	11.7169i	0.258827	−	0.389698i
$905$	2.76966	−	30.8198i	0.0920667	−	1.02449i
$906$	4.46007	−	22.5312i	0.148176	−	0.748548i
$907$	7.55859	−	28.2090i	0.250979	−	0.936666i	−0.719305	−	0.694695i	$-0.755539\pi$
$907$	7.55859	−	28.2090i	0.250979	−	0.936666i	0.970284	−	0.241971i	$-0.0777939\pi$
$908$	−46.8041	+	19.4884i	−1.55325	+	0.646746i
$909$	2.11222			0.0700580
$910$	31.2259	−	6.02989i	1.03513	−	0.199889i
$911$			5.25924i			0.174246i	0.996198	+	0.0871231i	$0.0277674\pi$
$911$			5.25924i			0.174246i	−0.996198	+	0.0871231i	$0.972233\pi$
$912$	−4.13421	+	2.40733i	−0.136897	+	0.0797146i
$913$	15.6555	+	4.19489i	0.518122	+	0.138830i
$914$	6.99303	−	35.3271i	0.231309	−	1.16852i
$915$	13.6278	+	16.3190i	0.450521	+	0.539489i
$916$	−31.8325	+	4.25075i	−1.05177	+	0.140449i
$917$	2.64007	−	4.10630i	0.0871828	−	0.135602i
$918$	−2.07148	−	31.1630i	−0.0683691	−	1.02853i
$919$	−6.21967	+	10.7728i	−0.205168	+	0.355361i	−0.950186	−	0.311683i	$-0.899107\pi$
$919$	−6.21967	+	10.7728i	−0.205168	+	0.355361i	0.745018	+	0.667044i	$0.232441\pi$
$920$	−35.8824	+	13.9711i	−1.18301	+	0.460613i
$921$	8.74595	+	15.1484i	0.288189	+	0.499158i
$922$	34.0915	+	16.7729i	1.12274	+	0.552386i
$923$	−8.82681	+	8.82681i	−0.290538	+	0.290538i
$924$	8.87773	−	10.5306i	0.292056	−	0.346431i
$925$	1.84631	+	22.3156i	0.0607065	+	0.733733i
$926$	40.2975	−	13.7207i	1.32426	−	0.450892i
$927$	−2.34747	−	0.629004i	−0.0771012	−	0.0206592i
$928$	−27.1748	−	23.6102i	−0.892055	−	0.775041i
$929$	19.8821	+	11.4790i	0.652312	+	0.376612i	0.789341	−	0.613955i	$-0.210422\pi$
$929$	19.8821	+	11.4790i	0.652312	+	0.376612i	−0.137030	+	0.990567i	$0.543756\pi$
$930$	−12.8602	+	43.8872i	−0.421704	+	1.43912i
$931$	−3.19568	−	2.27748i	−0.104734	−	0.0746415i
$932$	6.14247	−	8.03577i	0.201203	−	0.263220i
$933$	−39.5856	+	10.6069i	−1.29598	+	0.347256i
$934$	1.51192	−	7.63784i	0.0494715	−	0.249918i
$935$	−19.2089	+	3.34034i	−0.628197	+	0.109241i
$936$	7.41950	+	14.9406i	0.242514	+	0.488348i
$937$	−29.5597	−	29.5597i	−0.965672	−	0.965672i	0.0337577	−	0.999430i	$-0.489253\pi$
$937$	−29.5597	−	29.5597i	−0.965672	−	0.965672i	−0.999430	+	0.0337577i	$0.989253\pi$
$938$	−4.08477	−	3.93570i	−0.133372	−	0.128505i
$939$		−	48.7043i		−	1.58941i
$940$	6.44134	−	7.02231i	0.210093	−	0.229042i
$941$	15.3661	−	8.87162i	0.500920	−	0.289206i	−0.228173	−	0.973621i	$-0.573275\pi$
$941$	15.3661	−	8.87162i	0.500920	−	0.289206i	0.729093	+	0.684414i	$0.239942\pi$
$942$	13.2369	−	8.86235i	0.431282	−	0.288751i
$943$	−68.4900	+	18.3518i	−2.23034	+	0.597618i
$944$	3.31793	+	12.2019i	0.107989	+	0.397138i
$945$	−11.0343	−	14.5759i	−0.358946	−	0.474154i
$946$	5.81335	−	6.64123i	0.189008	−	0.215925i
$947$	−26.0527	+	6.98080i	−0.846598	+	0.226845i	−0.655942	−	0.754811i	$-0.727728\pi$
$947$	−26.0527	+	6.98080i	−0.846598	+	0.226845i	−0.190657	+	0.981657i	$0.561062\pi$
$948$	−36.2665	−	4.70633i	−1.17788	−	0.152854i
$949$	6.44129	+	11.1566i	0.209093	+	0.362160i
$950$	3.63436	−	1.58273i	0.117914	−	0.0513505i
$951$			33.8174i			1.09661i
$952$	−5.89581	+	53.1548i	−0.191084	+	1.72276i
$953$	19.2269	−	19.2269i	0.622822	−	0.622822i	−0.323430	−	0.946252i	$-0.604836\pi$
$953$	19.2269	−	19.2269i	0.622822	−	0.622822i	0.946252	+	0.323430i	$0.104836\pi$
$954$	−2.76291	−	8.11459i	−0.0894524	−	0.262720i
$955$	18.8742	+	13.2823i	0.610756	+	0.429806i
$956$	−28.8105	−	37.4031i	−0.931799	−	1.20970i
$957$	4.28718	+	16.0000i	0.138585	+	0.517206i
$958$	−10.0051	+	0.665067i	−0.323252	+	0.0214874i
$959$	−14.4582	+	45.1993i	−0.466880	+	1.45956i
$960$	38.1223	−	1.78637i	1.23039	−	0.0576547i
$961$	7.47524	−	12.9475i	0.241137	−	0.417661i
$962$	−13.3934	−	20.0046i	−0.431821	−	0.644974i
$963$	9.53887	+	2.55593i	0.307386	+	0.0823638i
$964$	−3.86115	+	9.37064i	−0.124359	+	0.301808i
$965$	13.3648	+	4.90012i	0.430228	+	0.157741i
$966$	23.5143	−	42.5341i	0.756559	−	1.36851i
$967$	34.6653	−	34.6653i	1.11476	−	1.11476i	0.122262	−	0.992498i	$-0.460985\pi$
$967$	34.6653	−	34.6653i	1.11476	−	1.11476i	0.992498	−	0.122262i	$-0.0390148\pi$
$968$	8.57677	−	25.4986i	0.275668	−	0.819557i
$969$	−7.40231	+	4.27373i	−0.237797	+	0.137292i
$970$	−30.7606	+	7.48033i	−0.987662	+	0.240179i
$971$	2.37752	−	4.11799i	0.0762983	−	0.132153i	−0.825352	−	0.564619i	$-0.809023\pi$
$971$	2.37752	−	4.11799i	0.0762983	−	0.132153i	0.901650	+	0.432466i	$0.142357\pi$
$972$	17.8849	−	23.3976i	0.573659	−	0.750478i
$973$	−0.243656	+	5.09444i	−0.00781127	+	0.163320i
$974$	−9.52274	+	10.8789i	−0.305128	+	0.348582i
$975$	−13.6882	−	38.1675i	−0.438374	−	1.22234i
$976$	−12.5588	+	12.6521i	−0.401997	+	0.404983i
$977$	−7.21631	+	26.9316i	−0.230870	+	0.861620i	0.749097	+	0.662460i	$0.230488\pi$
$977$	−7.21631	+	26.9316i	−0.230870	+	0.861620i	−0.979967	+	0.199159i	$0.936179\pi$
$978$	−11.5912	−	5.70281i	−0.370645	−	0.182356i
$979$		−	17.2969i		−	0.552812i
$980$	14.2094	+	27.8943i	0.453902	+	0.891051i
$981$			3.66396i			0.116981i
$982$	21.4506	−	43.5992i	0.684516	−	1.39131i
$983$	9.95915	−	37.1680i	0.317647	−	1.18548i	−0.603852	−	0.797096i	$-0.706368\pi$
$983$	9.95915	−	37.1680i	0.317647	−	1.18548i	0.921499	−	0.388380i	$-0.126965\pi$
$984$	70.1380	+	4.40164i	2.23592	+	0.140319i
$985$	9.44410	−	7.88665i	0.300914	−	0.251290i
$986$	−48.3958	−	42.3628i	−1.54124	−	1.34911i
$987$	−0.574582	+	12.0135i	−0.0182891	+	0.382395i
$988$	−2.58820	+	3.38596i	−0.0823415	+	0.107722i
$989$	15.5720	−	26.9716i	0.495162	−	0.857646i
$990$	−5.11325	−	3.11284i	−0.162510	−	0.0989325i
$991$	17.3809	−	10.0349i	0.552124	−	0.318769i	−0.197854	−	0.980231i	$-0.563397\pi$
$991$	17.3809	−	10.0349i	0.552124	−	0.318769i	0.749978	+	0.661462i	$0.230064\pi$
$992$	−37.6434	−	7.30690i	−1.19518	−	0.231994i
$993$	52.2375	−	52.2375i	1.65771	−	1.65771i
$994$	−10.7537	−	5.94498i	−0.341086	−	0.188563i
$995$	−3.11862	−	6.72930i	−0.0988669	−	0.213333i
$996$	−52.4082	−	21.5947i	−1.66062	−	0.684253i
$997$	−56.2585	−	15.0744i	−1.78172	−	0.477411i	−0.790827	−	0.612039i	$-0.790349\pi$
$997$	−56.2585	−	15.0744i	−1.78172	−	0.477411i	−0.990896	+	0.134628i	$0.957016\pi$
$998$	0.484686	−	0.324506i	0.0153425	−	0.0102720i
$999$	−6.91939	+	11.9847i	−0.218920	+	0.379181i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.17	yes	176
5.3	odd	4	inner	280.2.br.a.163.39	yes	176
7.4	even	3	inner	280.2.br.a.67.14	✓	176
8.3	odd	2	inner	280.2.br.a.107.10	yes	176
35.18	odd	12	inner	280.2.br.a.123.10	yes	176
40.3	even	4	inner	280.2.br.a.163.14	yes	176
56.11	odd	6	inner	280.2.br.a.67.39	yes	176
280.123	even	12	inner	280.2.br.a.123.17	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.14	✓	176	7.4	even	3	inner
280.2.br.a.67.39	yes	176	56.11	odd	6	inner
280.2.br.a.107.10	yes	176	8.3	odd	2	inner
280.2.br.a.107.17	yes	176	1.1	even	1	trivial
280.2.br.a.123.10	yes	176	35.18	odd	12	inner
280.2.br.a.123.17	yes	176	280.123	even	12	inner
280.2.br.a.163.14	yes	176	40.3	even	4	inner
280.2.br.a.163.39	yes	176	5.3	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.624317 + 1.26895i) q^{2} +(-2.06075 - 0.552175i) q^{3} +(-1.22046 - 1.58445i) q^{4} +(-2.22709 - 0.200140i) q^{5} +(1.98724 - 2.27025i) q^{6} +(2.64273 + 0.126396i) q^{7} +(2.77254 - 0.559495i) q^{8} +(1.34370 + 0.775786i) q^{9} +O(q^{10})\)	\(q+(-0.624317 + 1.26895i) q^{2} +(-2.06075 - 0.552175i) q^{3} +(-1.22046 - 1.58445i) q^{4} +(-2.22709 - 0.200140i) q^{5} +(1.98724 - 2.27025i) q^{6} +(2.64273 + 0.126396i) q^{7} +(2.77254 - 0.559495i) q^{8} +(1.34370 + 0.775786i) q^{9} +(1.64438 - 2.70111i) q^{10} +(-0.610032 - 1.05661i) q^{11} +(1.64016 + 3.93906i) q^{12} +(2.68783 + 2.68783i) q^{13} +(-1.81029 + 3.27458i) q^{14} +(4.47896 + 1.64218i) q^{15} +(-1.02097 + 3.86751i) q^{16} +(-1.84969 + 6.90315i) q^{17} +(-1.82333 + 1.22075i) q^{18} +(-0.485494 - 0.280300i) q^{19} +(2.40096 + 3.77298i) q^{20} +(-5.37620 - 1.71972i) q^{21} +(1.72163 - 0.114441i) q^{22} +(5.88093 - 1.57579i) q^{23} +(-6.02244 - 0.377949i) q^{24} +(4.91989 + 0.891463i) q^{25} +(-5.08877 + 1.73266i) q^{26} +(2.18506 + 2.18506i) q^{27} +(-3.02507 - 4.34154i) q^{28} +6.36373 q^{29} +(-4.88014 + 4.65832i) q^{30} +(5.87051 - 3.38934i) q^{31} +(-4.27025 - 3.71011i) q^{32} +(0.673689 + 2.51424i) q^{33} +(-7.60494 - 6.65692i) q^{34} +(-5.86031 - 0.810414i) q^{35} +(-0.410733 - 3.07584i) q^{36} +(1.15909 + 4.32578i) q^{37} +(0.658788 - 0.441070i) q^{38} +(-4.05478 - 7.02308i) q^{39} +(-6.28668 + 0.691151i) q^{40} -11.6461 q^{41} +(5.53869 - 5.74847i) q^{42} +(3.61709 - 3.61709i) q^{43} +(-0.929624 + 2.25611i) q^{44} +(-2.83728 - 1.99668i) q^{45} +(-1.67197 + 8.44638i) q^{46} +(-0.551484 - 2.05817i) q^{47} +(4.23951 - 7.40619i) q^{48} +(6.96805 + 0.668063i) q^{49} +(-4.20279 + 5.68652i) q^{50} +(7.62349 - 13.2043i) q^{51} +(0.978356 - 7.53911i) q^{52} +(-1.01110 + 3.77348i) q^{53} +(-4.13689 + 1.40855i) q^{54} +(1.14713 + 2.47525i) q^{55} +(7.39779 - 1.12816i) q^{56} +(0.845704 + 0.845704i) q^{57} +(-3.97299 + 8.07524i) q^{58} +(2.73771 - 1.58062i) q^{59} +(-2.86441 - 9.10091i) q^{60} +(3.85964 + 2.22836i) q^{61} +(0.635836 + 9.56539i) q^{62} +(3.45298 + 2.22003i) q^{63} +(7.37393 - 3.10244i) q^{64} +(-5.44810 - 6.52399i) q^{65} +(-3.61104 - 0.714808i) q^{66} +(-0.392367 + 1.46433i) q^{67} +(13.1952 - 5.49424i) q^{68} -12.9892 q^{69} +(4.68706 - 6.93047i) q^{70} +3.28399i q^{71} +(4.15951 + 1.39910i) q^{72} +(3.27363 + 0.877167i) q^{73} +(-6.21282 - 1.22983i) q^{74} +(-9.64639 - 4.55372i) q^{75} +(0.148402 + 1.11133i) q^{76} +(-1.47860 - 2.86943i) q^{77} +(11.4434 - 0.760672i) q^{78} +(-4.28539 + 7.42252i) q^{79} +(3.04785 - 8.40896i) q^{80} +(-5.62367 - 9.74048i) q^{81} +(7.27088 - 14.7783i) q^{82} +(-9.39347 + 9.39347i) q^{83} +(3.83661 + 10.6172i) q^{84} +(5.50104 - 15.0038i) q^{85} +(2.33168 + 6.84810i) q^{86} +(-13.1140 - 3.51390i) q^{87} +(-2.28250 - 2.58817i) q^{88} +(12.2777 + 7.08853i) q^{89} +(4.30504 - 2.35380i) q^{90} +(6.76347 + 7.44294i) q^{91} +(-9.67418 - 7.39486i) q^{92} +(-13.9691 + 3.74302i) q^{93} +(2.95601 + 0.585144i) q^{94} +(1.02514 + 0.721421i) q^{95} +(6.75128 + 10.0035i) q^{96} +(-7.07873 - 7.07873i) q^{97} +(-5.19801 + 8.42501i) q^{98} -1.89302i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

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