LMFDB - Embedded newform 256.2.m.a.101.21

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [256,2,Mod(5,256)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(256, base_ring=CyclotomicField(64))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("256.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 256 = 2^{8} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	256.m (of order $64$, degree $32$, 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:	$2.04417029174$
Analytic rank:	$0$
Dimension:	$992$
Relative dimension:	$31$ over $\Q(\zeta_{64})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{64}]$

Embedding invariants

Embedding label			101.21
Character	$\chi$	$=$	256.101
Dual form			256.2.m.a.109.21

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.665240 + 1.24798i) q^{2} +(3.13955 - 0.786417i) q^{3} +(-1.11491 + 1.66041i) q^{4} +(-1.08240 - 0.511939i) q^{5} +(3.06999 + 3.39494i) q^{6} +(-0.258359 - 0.851697i) q^{7} +(-2.81385 - 0.286813i) q^{8} +(6.59256 - 3.52380i) q^{9} +O(q^{10})$	\(q+(0.665240 + 1.24798i) q^{2} +(3.13955 - 0.786417i) q^{3} +(-1.11491 + 1.66041i) q^{4} +(-1.08240 - 0.511939i) q^{5} +(3.06999 + 3.39494i) q^{6} +(-0.258359 - 0.851697i) q^{7} +(-2.81385 - 0.286813i) q^{8} +(6.59256 - 3.52380i) q^{9} +(-0.0811687 - 1.69138i) q^{10} +(1.48241 - 0.219894i) q^{11} +(-2.19454 + 6.08974i) q^{12} +(-2.17280 + 6.07257i) q^{13} +(0.891030 - 0.889010i) q^{14} +(-3.80086 - 0.756038i) q^{15} +(-1.51395 - 3.70243i) q^{16} +(-2.51486 + 0.500236i) q^{17} +(8.78327 + 5.88322i) q^{18} +(-3.15205 - 2.85685i) q^{19} +(2.05681 - 1.22647i) q^{20} +(-1.48092 - 2.47077i) q^{21} +(1.26058 + 1.70373i) q^{22} +(2.00127 - 0.197107i) q^{23} +(-9.05977 + 1.31239i) q^{24} +(-2.26245 - 2.75680i) q^{25} +(-9.02389 + 1.32811i) q^{26} +(10.7321 - 9.72705i) q^{27} +(1.70222 + 0.520583i) q^{28} +(0.298922 + 0.403050i) q^{29} +(-1.58496 - 5.24634i) q^{30} +(-5.73642 - 2.37610i) q^{31} +(3.61342 - 4.35238i) q^{32} +(4.48117 - 1.85616i) q^{33} +(-2.29727 - 2.80571i) q^{34} +(-0.156367 + 1.05414i) q^{35} +(-1.49916 + 14.8751i) q^{36} +(0.329871 - 6.71469i) q^{37} +(1.46843 - 5.83419i) q^{38} +(-2.04605 + 20.7739i) q^{39} +(2.89889 + 1.75097i) q^{40} +(-6.33246 + 7.71613i) q^{41} +(2.09830 - 3.49181i) q^{42} +(-1.69138 + 6.75237i) q^{43} +(-1.28764 + 2.70657i) q^{44} +(-8.93978 + 0.439183i) q^{45} +(1.57731 + 2.36642i) q^{46} +(7.65374 + 5.11407i) q^{47} +(-7.66476 - 10.4334i) q^{48} +(5.16165 - 3.44890i) q^{49} +(1.93536 - 4.65743i) q^{50} +(-7.50212 + 3.54824i) q^{51} +(-7.66050 - 10.3781i) q^{52} +(1.28478 - 1.73232i) q^{53} +(19.2786 + 6.92269i) q^{54} +(-1.71714 - 0.520888i) q^{55} +(0.482706 + 2.47065i) q^{56} +(-12.1427 - 6.49041i) q^{57} +(-0.304144 + 0.641174i) q^{58} +(0.666813 + 1.86362i) q^{59} +(5.49295 - 5.46808i) q^{60} +(5.59185 - 9.32944i) q^{61} +(-0.850767 - 8.73962i) q^{62} +(-4.70446 - 4.70446i) q^{63} +(7.83548 + 1.61410i) q^{64} +(5.46063 - 5.46063i) q^{65} +(5.29750 + 4.35762i) q^{66} +(13.3248 + 7.98660i) q^{67} +(1.97324 - 4.73342i) q^{68} +(6.12807 - 2.19266i) q^{69} +(-1.41957 + 0.506115i) q^{70} +(-3.21113 + 6.00761i) q^{71} +(-19.5611 + 8.02460i) q^{72} +(0.779048 - 2.56818i) q^{73} +(8.59924 - 4.05521i) q^{74} +(-9.27107 - 6.87590i) q^{75} +(8.25781 - 2.04857i) q^{76} +(-0.570277 - 1.20575i) q^{77} +(-27.2865 + 11.2662i) q^{78} +(-4.86220 - 7.27679i) q^{79} +(-0.256714 + 4.78257i) q^{80} +(13.5856 - 20.3322i) q^{81} +(-13.8422 - 2.76971i) q^{82} +(0.695381 + 14.1548i) q^{83} +(5.75359 + 0.295744i) q^{84} +(2.97818 + 0.745995i) q^{85} +(-9.55200 + 2.38114i) q^{86} +(1.25545 + 1.03032i) q^{87} +(-4.23434 + 0.193575i) q^{88} +(-1.00772 - 0.0992515i) q^{89} +(-6.49520 - 10.8645i) q^{90} +(5.73336 + 0.281662i) q^{91} +(-1.90395 + 3.54269i) q^{92} +(-19.8784 - 2.94868i) q^{93} +(-1.29068 + 12.9538i) q^{94} +(1.94926 + 4.70592i) q^{95} +(7.92173 - 16.5062i) q^{96} +(0.850618 - 2.05357i) q^{97} +(7.73790 + 4.14729i) q^{98} +(8.99801 - 6.67338i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) $ 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{24} - 32 q^{25} - 32 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{39} - 32 q^{40} - 32 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{45} - 32 q^{46} - 32 q^{47} - 32 q^{48} - 32 q^{49} - 32 q^{50} - 32 q^{51} - 32 q^{52} - 32 q^{53} - 32 q^{54} - 32 q^{55} - 32 q^{56} - 32 q^{57} - 32 q^{58} - 32 q^{59} - 32 q^{60} - 32 q^{61} - 32 q^{62} - 32 q^{63} - 32 q^{64} - 32 q^{65} - 32 q^{66} - 32 q^{67} - 32 q^{68} - 32 q^{69} - 32 q^{70} - 32 q^{71} - 32 q^{72} - 32 q^{73} - 32 q^{74} - 32 q^{75} - 32 q^{76} - 32 q^{77} - 32 q^{78} - 32 q^{79} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{89} - 32 q^{90} - 32 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{94} - 32 q^{95} - 32 q^{96} - 32 q^{97} - 32 q^{98} - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/256\mathbb{Z}\right)^\times$.

$n$	$5$	$255$
$\chi(n)$	$e\left(\frac{9}{64}\right)$	$1$

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 $

$2$	0.665240	+	1.24798i	0.470396	+	0.882456i
$2$	0.665240	+	1.24798i	0.470396	+	0.882456i
$3$	3.13955	−	0.786417i	1.81262	−	0.454038i	0.819697	−	0.572797i	$-0.194142\pi$
$3$	3.13955	−	0.786417i	1.81262	−	0.454038i	0.992923	+	0.118759i	$0.0378916\pi$
$4$	−1.11491	+	1.66041i	−0.557456	+	0.830207i
$5$	−1.08240	−	0.511939i	−0.484066	−	0.228946i	0.169913	−	0.985459i	$-0.445651\pi$
$5$	−1.08240	−	0.511939i	−0.484066	−	0.228946i	−0.653979	+	0.756513i	$0.726901\pi$
$6$	3.06999	+	3.39494i	1.25332	+	1.38598i
$7$	−0.258359	−	0.851697i	−0.0976507	−	0.321911i	0.894482	−	0.447105i	$-0.147545\pi$
$7$	−0.258359	−	0.851697i	−0.0976507	−	0.321911i	−0.992132	+	0.125193i	$0.960045\pi$
$8$	−2.81385	−	0.286813i	−0.994845	−	0.101404i
$9$	6.59256	−	3.52380i	2.19752	−	1.17460i
$10$	−0.0811687	−	1.69138i	−0.0256678	−	0.534862i
$11$	1.48241	−	0.219894i	0.446963	−	0.0663007i	0.0805447	−	0.996751i	$-0.474334\pi$
$11$	1.48241	−	0.219894i	0.446963	−	0.0663007i	0.366418	+	0.930450i	$0.380584\pi$
$12$	−2.19454	+	6.08974i	−0.633510	+	1.75796i
$13$	−2.17280	+	6.07257i	−0.602627	+	1.68423i	0.119814	+	0.992796i	$0.461770\pi$
$13$	−2.17280	+	6.07257i	−0.602627	+	1.68423i	−0.722441	+	0.691433i	$0.756980\pi$
$14$	0.891030	−	0.889010i	0.238138	−	0.237598i
$15$	−3.80086	−	0.756038i	−0.981377	−	0.195208i
$16$	−1.51395	−	3.70243i	−0.378487	−	0.925607i
$17$	−2.51486	+	0.500236i	−0.609942	+	0.121325i	−0.490390	−	0.871503i	$-0.663146\pi$
$17$	−2.51486	+	0.500236i	−0.609942	+	0.121325i	−0.119552	+	0.992828i	$0.538146\pi$
$18$	8.78327	+	5.88322i	2.07024	+	1.38669i
$19$	−3.15205	−	2.85685i	−0.723130	−	0.655407i	0.224611	−	0.974449i	$-0.427889\pi$
$19$	−3.15205	−	2.85685i	−0.723130	−	0.655407i	−0.947741	+	0.319042i	$0.896639\pi$
$20$	2.05681	−	1.22647i	0.459918	−	0.274247i
$21$	−1.48092	−	2.47077i	−0.323163	−	0.539166i
$22$	1.26058	+	1.70373i	0.268757	+	0.363237i
$23$	2.00127	−	0.197107i	0.417293	−	0.0410998i	0.112808	−	0.993617i	$-0.464016\pi$
$23$	2.00127	−	0.197107i	0.417293	−	0.0410998i	0.304485	+	0.952517i	$0.401516\pi$
$24$	−9.05977	+	1.31239i	−1.84932	+	0.267891i
$25$	−2.26245	−	2.75680i	−0.452490	−	0.551361i
$26$	−9.02389	+	1.32811i	−1.76973	+	0.260463i
$27$	10.7321	−	9.72705i	2.06540	−	1.87197i
$28$	1.70222	+	0.520583i	0.321689	+	0.0983809i
$29$	0.298922	+	0.403050i	0.0555085	+	0.0748445i	0.830090	−	0.557630i	$-0.188289\pi$
$29$	0.298922	+	0.403050i	0.0555085	+	0.0748445i	−0.774581	+	0.632475i	$0.782039\pi$
$30$	−1.58496	−	5.24634i	−0.289373	−	0.957847i
$31$	−5.73642	−	2.37610i	−1.03029	−	0.426761i	−0.197474	−	0.980308i	$-0.563274\pi$
$31$	−5.73642	−	2.37610i	−1.03029	−	0.426761i	−0.832818	+	0.553547i	$0.813274\pi$
$32$	3.61342	−	4.35238i	0.638768	−	0.769399i
$33$	4.48117	−	1.85616i	0.780071	−	0.323116i
$34$	−2.29727	−	2.80571i	−0.393978	−	0.481176i
$35$	−0.156367	+	1.05414i	−0.0264309	+	0.178183i
$36$	−1.49916	+	14.8751i	−0.249860	+	2.47918i
$37$	0.329871	−	6.71469i	0.0542305	−	1.10389i	−0.805321	−	0.592839i	$-0.798007\pi$
$37$	0.329871	−	6.71469i	0.0542305	−	1.10389i	0.859552	−	0.511049i	$-0.170743\pi$
$38$	1.46843	−	5.83419i	0.238210	−	0.946431i
$39$	−2.04605	+	20.7739i	−0.327630	+	3.32648i
$40$	2.89889	+	1.75097i	0.458354	+	0.276852i
$41$	−6.33246	+	7.71613i	−0.988965	+	1.20506i	−0.0102255	+	0.999948i	$0.503255\pi$
$41$	−6.33246	+	7.71613i	−0.988965	+	1.20506i	−0.978739	+	0.205109i	$0.934245\pi$
$42$	2.09830	−	3.49181i	0.323775	−	0.538799i
$43$	−1.69138	+	6.75237i	−0.257933	+	1.02973i	0.693151	+	0.720793i	$0.256222\pi$
$43$	−1.69138	+	6.75237i	−0.257933	+	1.02973i	−0.951084	+	0.308934i	$0.900028\pi$
$44$	−1.28764	+	2.70657i	−0.194119	+	0.408031i
$45$	−8.93978	+	0.439183i	−1.33266	+	0.0654696i
$46$	1.57731	+	2.36642i	0.232561	+	0.348909i
$47$	7.65374	+	5.11407i	1.11641	+	0.745964i	0.969963	−	0.243254i	$-0.0782150\pi$
$47$	7.65374	+	5.11407i	1.11641	+	0.745964i	0.146451	+	0.989218i	$0.453215\pi$
$48$	−7.66476	−	10.4334i	−1.10631	−	1.50593i
$49$	5.16165	−	3.44890i	0.737378	−	0.492701i
$50$	1.93536	−	4.65743i	0.273702	−	0.658660i
$51$	−7.50212	+	3.54824i	−1.05051	+	0.496853i
$52$	−7.66050	−	10.3781i	−1.06232	−	1.43919i
$53$	1.28478	−	1.73232i	0.176478	−	0.237953i	−0.706108	−	0.708104i	$-0.749551\pi$
$53$	1.28478	−	1.73232i	0.176478	−	0.237953i	0.882586	+	0.470151i	$0.155801\pi$
$54$	19.2786	+	6.92269i	2.62349	+	0.942058i
$55$	−1.71714	−	0.520888i	−0.231539	−	0.0702365i
$56$	0.482706	+	2.47065i	0.0645043	+	0.330154i
$57$	−12.1427	−	6.49041i	−1.60834	−	0.859676i
$58$	−0.304144	+	0.641174i	−0.0399360	+	0.0841903i
$59$	0.666813	+	1.86362i	0.0868117	+	0.242622i	0.977102	−	0.212771i	$-0.0682487\pi$
$59$	0.666813	+	1.86362i	0.0868117	+	0.242622i	−0.890290	+	0.455393i	$0.849499\pi$
$60$	5.49295	−	5.46808i	0.709137	−	0.705926i
$61$	5.59185	−	9.32944i	0.715963	−	1.19451i	−0.257634	−	0.966242i	$-0.582943\pi$
$61$	5.59185	−	9.32944i	0.715963	−	1.19451i	0.973598	−	0.228270i	$-0.0733070\pi$
$62$	−0.850767	−	8.73962i	−0.108047	−	1.10993i
$63$	−4.70446	−	4.70446i	−0.592706	−	0.592706i
$64$	7.83548	+	1.61410i	0.979435	+	0.201762i
$65$	5.46063	−	5.46063i	0.677308	−	0.677308i
$66$	5.29750	+	4.35762i	0.652078	+	0.536385i
$67$	13.3248	+	7.98660i	1.62789	+	0.975719i	0.976101	+	0.217317i	$0.0697304\pi$
$67$	13.3248	+	7.98660i	1.62789	+	0.975719i	0.651787	+	0.758402i	$0.274020\pi$
$68$	1.97324	−	4.73342i	0.239291	−	0.574011i
$69$	6.12807	−	2.19266i	0.737733	−	0.263965i
$70$	−1.41957	+	0.506115i	−0.169671	+	0.0604923i
$71$	−3.21113	+	6.00761i	−0.381091	+	0.712972i	−0.997207	−	0.0746836i	$-0.976205\pi$
$71$	−3.21113	+	6.00761i	−0.381091	+	0.712972i	0.616116	+	0.787656i	$0.288705\pi$
$72$	−19.5611	+	8.02460i	−2.30530	+	0.945708i
$73$	0.779048	−	2.56818i	0.0911807	−	0.300582i	−0.899474	−	0.436973i	$-0.856050\pi$
$73$	0.779048	−	2.56818i	0.0911807	−	0.300582i	0.990655	+	0.136391i	$0.0435504\pi$
$74$	8.59924	−	4.05521i	0.999642	−	0.471408i
$75$	−9.27107	−	6.87590i	−1.07053	−	0.793960i
$76$	8.25781	−	2.04857i	0.947236	−	0.234987i
$77$	−0.570277	−	1.20575i	−0.0649891	−	0.137408i
$78$	−27.2865	+	11.2662i	−3.08959	+	1.27565i
$79$	−4.86220	−	7.27679i	−0.547040	−	0.818703i	0.450202	−	0.892927i	$-0.351352\pi$
$79$	−4.86220	−	7.27679i	−0.547040	−	0.818703i	−0.997242	+	0.0742239i	$0.976352\pi$
$80$	−0.256714	+	4.78257i	−0.0287015	+	0.534707i
$81$	13.5856	−	20.3322i	1.50951	−	2.25914i
$82$	−13.8422	−	2.76971i	−1.52861	−	0.305864i
$83$	0.695381	+	14.1548i	0.0763280	+	1.55369i	0.665940	+	0.746006i	$0.268031\pi$
$83$	0.695381	+	14.1548i	0.0763280	+	1.55369i	−0.589612	+	0.807687i	$0.700719\pi$
$84$	5.75359	+	0.295744i	0.627768	+	0.0322684i
$85$	2.97818	+	0.745995i	0.323029	+	0.0809145i
$86$	−9.55200	+	2.38114i	−1.03002	+	0.256765i
$87$	1.25545	+	1.03032i	0.134598	+	0.110462i
$88$	−4.23434	+	0.193575i	−0.451382	+	0.0206352i
$89$	−1.00772	−	0.0992515i	−0.106818	−	0.0105206i	0.0444670	−	0.999011i	$-0.485841\pi$
$89$	−1.00772	−	0.0992515i	−0.106818	−	0.0105206i	−0.151285	+	0.988490i	$0.548341\pi$
$90$	−6.49520	−	10.8645i	−0.684654	−	1.14522i
$91$	5.73336	+	0.281662i	0.601019	+	0.0295262i
$92$	−1.90395	+	3.54269i	−0.198501	+	0.369351i
$93$	−19.8784	−	2.94868i	−2.06129	−	0.305764i
$94$	−1.29068	+	12.9538i	−0.133123	+	1.33608i
$95$	1.94926	+	4.70592i	0.199990	+	0.482818i
$96$	7.92173	−	16.5062i	0.808508	−	1.68465i
$97$	0.850618	−	2.05357i	0.0863671	−	0.208509i	−0.874795	−	0.484493i	$-0.839004\pi$
$97$	0.850618	−	2.05357i	0.0863671	−	0.208509i	0.961162	+	0.275985i	$0.0890039\pi$
$98$	7.73790	+	4.14729i	0.781646	+	0.418939i
$99$	8.99801	−	6.67338i	0.904334	−	0.670699i
$100$	7.09987	−	0.683013i	0.709987	−	0.0683013i
$101$	−1.92707	−	2.12619i	−0.191750	−	0.211564i	0.637486	−	0.770462i	$-0.279974\pi$
$101$	−1.92707	−	2.12619i	−0.191750	−	0.211564i	−0.829236	+	0.558898i	$0.811224\pi$
$102$	−9.41885	−	7.00207i	−0.932605	−	0.693308i
$103$	0.541970	−	0.444784i	0.0534019	−	0.0438258i	−0.607314	−	0.794462i	$-0.707753\pi$
$103$	0.541970	−	0.444784i	0.0534019	−	0.0438258i	0.660716	+	0.750636i	$0.270253\pi$
$104$	7.85563	−	16.4641i	0.770308	−	1.61444i
$105$	0.338073	+	3.43251i	0.0329925	+	0.334978i
$106$	3.01659	+	0.450967i	0.292997	+	0.0438018i
$107$	9.86280	−	5.91153i	0.953473	−	0.571489i	0.0493587	−	0.998781i	$-0.484282\pi$
$107$	9.86280	−	5.91153i	0.953473	−	0.571489i	0.904114	+	0.427292i	$0.140532\pi$
$108$	4.18554	+	28.6646i	0.402754	+	2.75825i
$109$	−7.60439	+	8.39015i	−0.728369	+	0.803631i	−0.986722	−	0.162420i	$-0.948070\pi$
$109$	−7.60439	+	8.39015i	−0.728369	+	0.803631i	0.258353	+	0.966051i	$0.416820\pi$
$110$	−0.492250	−	2.48947i	−0.0469342	−	0.237361i
$111$	−4.24489	−	21.3405i	−0.402907	−	2.02555i
$112$	−2.76220	+	2.24598i	−0.261004	+	0.212225i
$113$	−0.332516	+	1.67167i	−0.0312805	+	0.157258i	−0.993269	−	0.115834i	$-0.963046\pi$
$113$	−0.332516	+	1.67167i	−0.0312805	+	0.157258i	0.961988	+	0.273091i	$0.0880461\pi$
$114$	0.0220916	−	19.4715i	0.00206907	−	1.82368i
$115$	−2.26708	−	0.811176i	−0.211407	−	0.0756425i
$116$	−1.00250	+	0.0469697i	−0.0930800	+	0.00436103i
$117$	7.07420	+	47.6904i	0.654010	+	4.40897i
$118$	−1.88217	+	2.07192i	−0.173268	+	0.190736i
$119$	1.07579	+	2.01265i	0.0986171	+	0.184500i
$120$	10.4782	+	3.21751i	0.956524	+	0.293717i
$121$	−8.37716	+	2.54118i	−0.761560	+	0.231017i
$122$	15.3629	+	0.772203i	1.39089	+	0.0699120i
$123$	−13.8130	+	29.2051i	−1.24548	+	2.63334i
$124$	10.3409	−	6.87569i	0.928641	−	0.617455i
$125$	2.49225	+	9.94961i	0.222913	+	0.889920i
$126$	2.74148	−	9.00067i	0.244230	−	0.801843i
$127$		−	17.9233i		−	1.59043i	−0.606325	−	0.795217i	$-0.707357\pi$
$127$		−	17.9233i		−	1.59043i	0.606325	−	0.795217i	$-0.292643\pi$
$128$	3.19811	+	10.8523i	0.282676	+	0.959216i
$129$			22.5295i			1.98361i
$130$	10.4474	+	3.18213i	0.916298	+	0.279091i
$131$	5.23520	+	20.9001i	0.457402	+	1.82605i	0.556338	+	0.830956i	$0.312206\pi$
$131$	5.23520	+	20.9001i	0.457402	+	1.82605i	−0.0989366	+	0.995094i	$0.531544\pi$
$132$	−1.91411	+	9.51004i	−0.166602	+	0.827743i
$133$	−1.61881	+	3.42269i	−0.140369	+	0.296785i
$134$	−1.10290	+	21.9421i	−0.0952765	+	1.89551i
$135$	−16.5962	+	5.03439i	−1.42837	+	0.433292i
$136$	7.21989	−	0.686293i	0.619101	−	0.0588492i
$137$	−5.84974	−	10.9441i	−0.499777	−	0.935017i	−0.997699	−	0.0677950i	$-0.978404\pi$
$137$	−5.84974	−	10.9441i	−0.499777	−	0.935017i	0.497923	−	0.867222i	$-0.334096\pi$
$138$	6.81303	+	6.18906i	0.579964	+	0.526848i
$139$	−0.646740	−	4.35996i	−0.0548557	−	0.369807i	−0.999169	−	0.0407595i	$-0.987022\pi$
$139$	−0.646740	−	4.35996i	−0.0548557	−	0.369807i	0.944313	−	0.329048i	$-0.106728\pi$
$140$	−1.57598	−	1.43491i	−0.133195	−	0.121272i
$141$	28.0511	+	10.0368i	2.36233	+	0.845255i
$142$	−9.63355	−	0.0109299i	−0.808430	−	0.000917213i
$143$	−1.88565	+	9.47982i	−0.157686	+	0.792742i
$144$	−23.0274	−	19.0736i	−1.91895	−	1.58947i
$145$	−0.117218	−	0.589293i	−0.00973439	−	0.0489381i
$146$	3.72329	−	0.736218i	0.308142	−	0.0609298i
$147$	13.4930	−	14.8872i	1.11288	−	1.22788i
$148$	10.7814	+	8.03400i	0.886224	+	0.660391i
$149$	17.4234	−	10.4432i	1.42738	−	0.855539i	0.428533	−	0.903526i	$-0.359031\pi$
$149$	17.4234	−	10.4432i	1.42738	−	0.855539i	0.998848	+	0.0479873i	$0.0152807\pi$
$150$	2.41349	−	16.1442i	0.197061	−	1.31817i
$151$	0.873046	+	8.86419i	0.0710475	+	0.721357i	0.963049	+	0.269325i	$0.0868007\pi$
$151$	0.873046	+	8.86419i	0.0710475	+	0.721357i	−0.892002	+	0.452032i	$0.850699\pi$
$152$	8.05001	+	8.94280i	0.652942	+	0.725357i
$153$	−14.8166	+	12.1597i	−1.19785	+	0.983052i
$154$	1.12538	−	1.51381i	0.0906858	−	0.121986i
$155$	4.99270	+	5.50860i	0.401023	+	0.442461i
$156$	−32.2121	−	26.5583i	−2.57903	−	2.12637i
$157$	2.86427	−	2.12429i	0.228594	−	0.169537i	−0.475340	−	0.879802i	$-0.657675\pi$
$157$	2.86427	−	2.12429i	0.228594	−	0.169537i	0.703934	+	0.710265i	$0.251425\pi$
$158$	5.84677	−	10.9087i	0.465144	−	0.867853i
$159$	2.67130	−	6.44909i	0.211848	−	0.511446i
$160$	−6.13933	+	2.86118i	−0.485357	+	0.226196i
$161$	−0.684922	−	1.65355i	−0.0539794	−	0.130318i
$162$	34.4119	+	3.42870i	2.70365	+	0.269384i
$163$	−9.25092	−	1.37224i	−0.724588	−	0.107482i	−0.225759	−	0.974183i	$-0.572486\pi$
$163$	−9.25092	−	1.37224i	−0.724588	−	0.107482i	−0.498828	+	0.866701i	$0.666236\pi$
$164$	−5.75183	−	19.1173i	−0.449143	−	1.49281i
$165$	−5.80067	−	0.284969i	−0.451582	−	0.0221848i
$166$	−17.2023	+	10.2842i	−1.33516	+	0.798207i
$167$	5.03415	+	0.495820i	0.389554	+	0.0383677i	0.290899	−	0.956754i	$-0.406046\pi$
$167$	5.03415	+	0.495820i	0.389554	+	0.0383677i	0.0986556	+	0.995122i	$0.468546\pi$
$168$	3.45844	+	7.37711i	0.266824	+	0.569156i
$169$	−22.1060	−	18.1419i	−1.70046	−	1.39553i
$170$	1.05022	+	4.21297i	0.0805480	+	0.323120i
$171$	−30.8471	−	7.72679i	−2.35893	−	0.590882i
$172$	−9.32598	−	10.3367i	−0.711100	−	0.788164i
$173$	0.643406	+	13.0968i	0.0489172	+	0.995733i	0.890323	+	0.455330i	$0.150479\pi$
$173$	0.643406	+	13.0968i	0.0489172	+	0.995733i	−0.841406	+	0.540404i	$0.818271\pi$
$174$	−0.450644	+	2.25218i	−0.0341632	+	0.170738i
$175$	−1.76344	+	2.63917i	−0.133303	+	0.199502i
$176$	−3.05843	−	5.15560i	−0.230538	−	0.388618i
$177$	3.55907	+	5.32653i	0.267516	+	0.400366i
$178$	−0.546510	−	1.32364i	−0.0409627	−	0.0992109i
$179$	1.09469	+	2.31454i	0.0818213	+	0.172997i	0.940752	−	0.339095i	$-0.110121\pi$
$179$	1.09469	+	2.31454i	0.0818213	+	0.172997i	−0.858931	+	0.512092i	$0.828871\pi$
$180$	9.23784	−	15.3334i	0.688548	−	1.14288i
$181$	9.53091	+	7.06860i	0.708427	+	0.525405i	0.888858	−	0.458182i	$-0.151499\pi$
$181$	9.53091	+	7.06860i	0.708427	+	0.525405i	−0.180431	+	0.983588i	$0.557749\pi$
$182$	3.46255	+	7.34249i	0.256661	+	0.544262i
$183$	10.2191	−	33.6878i	0.755416	−	2.49027i
$184$	−5.68779	−	0.0193595i	−0.419309	−	0.00142720i
$185$	−3.79456	+	7.09913i	−0.278982	+	0.521938i
$186$	−9.54401	−	26.7694i	−0.699800	−	1.96283i
$187$	−3.61804	+	1.29456i	−0.264577	+	0.0946673i
$188$	−17.0247	+	7.00665i	−1.24165	+	0.511012i
$189$	−11.0573	−	6.62746i	−0.804297	−	0.482077i
$190$	−4.57618	+	5.56320i	−0.331991	+	0.403597i
$191$	−1.57449	+	1.57449i	−0.113926	+	0.113926i	−0.761772	−	0.647846i	$-0.775670\pi$
$191$	−1.57449	+	1.57449i	−0.113926	+	0.113926i	0.647846	+	0.761772i	$0.275670\pi$
$192$	25.8692	−	1.09440i	1.86695	−	0.0789818i
$193$	−8.88005	−	8.88005i	−0.639200	−	0.639200i	0.311158	−	0.950358i	$-0.399283\pi$
$193$	−8.88005	−	8.88005i	−0.639200	−	0.639200i	−0.950358	+	0.311158i	$0.899283\pi$
$194$	3.12868	−	0.304565i	0.224626	−	0.0218665i
$195$	12.8496	−	21.4383i	0.920179	−	1.53523i
$196$	−0.0281727	+	12.4157i	−0.00201234	+	0.886835i
$197$	−2.66903	−	7.45945i	−0.190161	−	0.531464i	0.808187	−	0.588926i	$-0.200449\pi$
$197$	−2.66903	−	7.45945i	−0.190161	−	0.531464i	−0.998348	+	0.0574624i	$0.981699\pi$
$198$	14.3141	+	6.78994i	1.01726	+	0.482540i
$199$	2.60744	+	1.39371i	0.184837	+	0.0987972i	0.561220	−	0.827667i	$-0.310332\pi$
$199$	2.60744	+	1.39371i	0.184837	+	0.0987972i	−0.376383	+	0.926464i	$0.622832\pi$
$200$	5.57550	+	8.40613i	0.394248	+	0.594403i
$201$	48.1148	+	14.5955i	3.39376	+	1.02948i
$202$	1.37148	−	3.81937i	0.0964971	−	0.268730i
$203$	0.266047	−	0.358723i	0.0186728	−	0.0251774i
$204$	2.47265	−	16.4126i	0.173120	−	1.14911i
$205$	10.8045	−	5.11013i	0.754617	−	0.356907i
$206$	0.915622	+	0.380481i	0.0637944	+	0.0265093i
$207$	12.4989	−	8.35150i	0.868734	−	0.580470i
$208$	25.7728	−	1.14892i	1.78702	−	0.0796629i
$209$	−5.30083	−	3.54190i	−0.366666	−	0.244998i
$210$	−4.05880	+	2.70535i	−0.280084	+	0.186687i
$211$	2.02477	−	0.0994704i	0.139391	−	0.00684782i	0.0207472	−	0.999785i	$-0.493395\pi$
$211$	2.02477	−	0.0994704i	0.139391	−	0.00684782i	0.118643	+	0.992937i	$0.462145\pi$
$212$	1.44396	+	4.06465i	0.0991715	+	0.279161i
$213$	−5.35703	+	21.3865i	−0.367058	+	1.46538i
$214$	13.9386	+	8.37599i	0.952824	+	0.572571i
$215$	5.28755	−	6.44290i	0.360608	−	0.439402i
$216$	−32.9885	+	24.2923i	−2.24458	+	1.65288i
$217$	−0.541661	+	5.49958i	−0.0367704	+	0.373336i
$218$	−15.5295	−	3.90867i	−1.05179	−	0.264728i
$219$	0.426204	−	8.67558i	0.0288002	−	0.586241i
$220$	2.77934	−	2.27041i	0.187383	−	0.153071i
$221$	2.42656	−	16.3586i	0.163228	−	1.10040i
$222$	23.8087	−	19.4941i	1.59793	−	1.30836i
$223$	−23.7177	+	9.82419i	−1.58825	+	0.657876i	−0.989694	−	0.143201i	$-0.954260\pi$
$223$	−23.7177	+	9.82419i	−1.58825	+	0.657876i	−0.598561	+	0.801078i	$0.704260\pi$
$224$	−4.64047	−	1.95306i	−0.310054	−	0.130494i
$225$	−24.6298	−	10.2020i	−1.64198	−	0.680132i
$226$	−2.30742	+	0.697089i	−0.153487	+	0.0463697i
$227$	−3.82050	−	5.15135i	−0.253576	−	0.341907i	0.658016	−	0.753004i	$-0.271396\pi$
$227$	−3.82050	−	5.15135i	−0.253576	−	0.341907i	−0.911592	+	0.411097i	$0.865146\pi$
$228$	24.3148	−	12.9257i	1.61029	−	0.856024i
$229$	−8.93862	+	8.10150i	−0.590681	+	0.535362i	−0.911245	−	0.411865i	$-0.864878\pi$
$229$	−8.93862	+	8.10150i	−0.590681	+	0.535362i	0.320564	+	0.947227i	$0.396128\pi$
$230$	−0.495824	−	3.36890i	−0.0326937	−	0.222139i
$231$	−2.73864	−	3.33704i	−0.180189	−	0.219561i
$232$	−0.725522	−	1.21986i	−0.0476328	−	0.0800875i
$233$	11.3954	−	1.12235i	0.746537	−	0.0735274i	0.282407	−	0.959295i	$-0.408867\pi$
$233$	11.3954	−	1.12235i	0.746537	−	0.0735274i	0.464130	+	0.885767i	$0.346367\pi$
$234$	−54.8106	+	40.5540i	−3.58308	+	2.65110i
$235$	−5.66635	−	9.45373i	−0.369632	−	0.616694i
$236$	−3.83781	−	0.970582i	−0.249820	−	0.0631795i
$237$	−20.9877	−	19.0221i	−1.36330	−	1.23562i
$238$	−1.79610	+	2.68146i	−0.116424	+	0.173813i
$239$	7.38731	−	1.46943i	0.477845	−	0.0950493i	0.0497094	−	0.998764i	$-0.484170\pi$
$239$	7.38731	−	1.46943i	0.477845	−	0.0950493i	0.428136	+	0.903714i	$0.359170\pi$
$240$	2.95512	+	15.2170i	0.190752	+	0.982253i
$241$	−0.116105	−	0.0230948i	−0.00747900	−	0.00148767i	0.191349	−	0.981522i	$-0.438714\pi$
$241$	−0.116105	−	0.0230948i	−0.00747900	−	0.00148767i	−0.198828	+	0.980034i	$0.563714\pi$
$242$	−8.74418	−	8.76404i	−0.562097	−	0.563374i
$243$	12.0241	−	33.6052i	0.771349	−	2.15578i
$244$	9.25632	+	19.6863i	0.592575	+	1.26029i
$245$	−7.35261	+	1.09066i	−0.469741	+	0.0696795i
$246$	−45.6364	+	2.19007i	−2.90967	+	0.139634i
$247$	24.1972	−	12.9337i	1.53963	−	0.822951i
$248$	15.4599	+	8.33127i	0.981705	+	0.529036i
$249$	13.3148	+	43.8929i	0.843789	+	2.78160i
$250$	−10.7590	+	9.72916i	−0.680457	+	0.615326i
$251$	8.80519	+	4.16454i	0.555778	+	0.262864i	0.684742	−	0.728786i	$-0.259915\pi$
$251$	8.80519	+	4.16454i	0.555778	+	0.262864i	−0.128963	+	0.991649i	$0.541165\pi$
$252$	13.0564	−	2.56629i	0.822476	−	0.161661i
$253$	2.92335	−	0.732261i	0.183789	−	0.0460369i
$254$	22.3679	−	11.9233i	1.40349	−	0.748134i
$255$	9.93681			0.622267
$256$	−11.4159	+	11.2106i	−0.713496	+	0.700660i
$257$	−5.94946			−0.371117			−0.185559	−	0.982633i	$-0.559409\pi$
$257$	−5.94946			−0.371117			−0.185559	+	0.982633i	$0.559409\pi$
$258$	−28.1164	+	14.9875i	−1.75045	+	0.933084i
$259$	−5.80410	+	1.45385i	−0.360649	+	0.0903380i
$260$	2.97879	+	15.1550i	0.184737	+	0.939875i
$261$	3.39093	+	1.60379i	0.209893	+	0.0992722i
$262$	−22.6002	+	20.4370i	−1.39625	+	1.26260i
$263$	−5.00809	−	16.5094i	−0.308812	−	1.01802i	−0.964743	−	0.263195i	$-0.915224\pi$
$263$	−5.00809	−	16.5094i	−0.308812	−	1.01802i	0.655931	−	0.754821i	$-0.272276\pi$
$264$	−13.1417	+	3.93769i	−0.808815	+	0.242348i
$265$	−2.27749	+	1.21734i	−0.139905	+	0.0747809i
$266$	−5.34834	+	0.256665i	−0.327928	+	0.0157371i
$267$	−3.24183	+	0.480881i	−0.198397	+	0.0294294i
$268$	−28.1171	+	13.2204i	−1.71752	+	0.807564i
$269$	9.49247	−	26.5297i	0.578766	−	1.61754i	−0.192690	−	0.981260i	$-0.561721\pi$
$269$	9.49247	−	26.5297i	0.578766	−	1.61754i	0.771456	−	0.636283i	$-0.219529\pi$
$270$	−17.3233	−	17.3626i	−1.05426	−	1.05666i
$271$	4.02127	+	0.799880i	0.244275	+	0.0485893i	0.315709	−	0.948856i	$-0.397758\pi$
$271$	4.02127	+	0.799880i	0.244275	+	0.0485893i	−0.0714343	+	0.997445i	$0.522758\pi$
$272$	5.65944	+	8.55374i	0.343154	+	0.518647i
$273$	18.2217	−	3.62451i	1.10283	−	0.219366i
$274$	9.76653	−	14.5808i	0.590018	−	0.880859i
$275$	−3.96008	−	3.58921i	−0.238802	−	0.216437i
$276$	−3.19153	+	12.6197i	−0.192108	+	0.759619i
$277$	1.66055	+	2.77047i	0.0997730	+	0.166461i	0.903567	−	0.428446i	$-0.140939\pi$
$277$	1.66055	+	2.77047i	0.0997730	+	0.166461i	−0.803794	+	0.594907i	$0.797189\pi$
$278$	5.01091	−	3.70754i	0.300535	−	0.222364i
$279$	−46.1906	+	4.54938i	−2.76536	+	0.272364i
$280$	0.742337	−	2.92135i	0.0443631	−	0.174584i
$281$	−17.8788	−	21.7854i	−1.06656	−	1.29961i	−0.951969	−	0.306194i	$-0.900944\pi$
$281$	−17.8788	−	21.7854i	−1.06656	−	1.29961i	−0.114590	−	0.993413i	$-0.536556\pi$
$282$	6.13493	+	41.6841i	0.365330	+	2.48225i
$283$	7.39777	−	6.70495i	0.439752	−	0.398568i	−0.421433	−	0.906859i	$-0.638473\pi$
$283$	7.39777	−	6.70495i	0.439752	−	0.398568i	0.861185	+	0.508292i	$0.169723\pi$
$284$	−6.39499	−	12.0298i	−0.379473	−	0.713835i
$285$	9.82061	+	13.2416i	0.581723	+	0.784362i
$286$	−13.0850	+	3.95310i	−0.773735	+	0.233752i
$287$	8.20785	+	3.39980i	0.484494	+	0.200684i
$288$	8.48478	−	41.4263i	0.499971	−	2.44107i
$289$	−9.63169	+	3.98958i	−0.566570	+	0.234681i
$290$	0.657448	−	0.538307i	0.0386067	−	0.0316105i
$291$	1.05559	−	7.11624i	0.0618800	−	0.417161i
$292$	3.39567	+	4.15683i	0.198716	+	0.243260i
$293$	0.872882	−	17.7679i	0.0509943	−	1.03801i	−0.827864	−	0.560930i	$-0.810444\pi$
$293$	0.872882	−	17.7679i	0.0509943	−	1.03801i	0.878858	−	0.477084i	$-0.158306\pi$
$294$	27.5550	+	6.93541i	1.60704	+	0.404481i
$295$	0.232297	−	2.35855i	0.0135249	−	0.137320i
$296$	−2.85407	+	18.7995i	−0.165890	+	1.09270i
$297$	13.7705	−	16.7794i	0.799045	−	0.973639i
$298$	24.6236	+	14.7968i	1.42641	+	0.857158i
$299$	−3.15140	+	12.5811i	−0.182250	+	0.727584i
$300$	21.7533	−	7.72780i	1.25592	−	0.446165i
$301$	6.18795	−	0.303995i	0.356668	−	0.0175220i
$302$	−10.4815	+	6.98636i	−0.603145	+	0.402020i
$303$	−7.72219	−	5.15980i	−0.443628	−	0.296423i
$304$	−5.80525	+	15.9954i	−0.332954	+	0.917397i
$305$	−10.8287	+	7.23554i	−0.620052	+	0.414306i
$306$	−25.0317	−	10.4017i	−1.43096	−	0.594628i
$307$	−12.1859	+	5.76348i	−0.695484	+	0.328939i	−0.742397	−	0.669960i	$-0.766311\pi$
$307$	−12.1859	+	5.76348i	−0.695484	+	0.328939i	0.0469139	+	0.998899i	$0.485061\pi$
$308$	2.63785	+	0.397408i	0.150306	+	0.0226444i
$309$	1.35176	−	1.82263i	0.0768988	−	0.103686i
$310$	−3.55328	+	9.89534i	−0.201813	+	0.562017i
$311$	14.7248	+	4.46673i	0.834969	+	0.253285i	0.678687	−	0.734427i	$-0.262549\pi$
$311$	14.7248	+	4.46673i	0.834969	+	0.253285i	0.156282	+	0.987713i	$0.450049\pi$
$312$	11.7155	−	57.8677i	0.663259	−	3.27611i
$313$	20.3227	+	10.8627i	1.14871	+	0.613998i	0.932079	−	0.362256i	$-0.117993\pi$
$313$	20.3227	+	10.8627i	1.14871	+	0.613998i	0.216630	+	0.976254i	$0.430493\pi$
$314$	4.55650	+	2.16140i	0.257138	+	0.121975i
$315$	2.68373	+	7.50052i	0.151211	+	0.422606i
$316$	17.5034	+	0.0397174i	0.984643	+	0.00223428i
$317$	−15.1000	+	25.1929i	−0.848102	+	1.41497i	0.0608839	+	0.998145i	$0.480608\pi$
$317$	−15.1000	+	25.1929i	−0.848102	+	1.41497i	−0.908986	+	0.416827i	$0.863142\pi$
$318$	9.82539	−	0.956462i	0.550980	−	0.0536357i
$319$	0.531753	+	0.531753i	0.0297725	+	0.0297725i
$320$	−7.65483	−	5.75839i	−0.427918	−	0.321904i
$321$	26.3158	−	26.3158i	1.46881	−	1.46881i
$322$	1.60796	−	1.95477i	0.0896080	−	0.108935i
$323$	9.35605	+	5.60780i	0.520585	+	0.312026i
$324$	18.6132	+	45.2263i	1.03407	+	2.51257i
$325$	21.6568	−	7.74891i	1.20130	−	0.429832i
$326$	−4.44155	−	12.4578i	−0.245995	−	0.689976i
$327$	−17.2762	+	32.3215i	−0.955377	+	1.78738i
$328$	20.0317	−	19.8958i	1.10606	−	1.09856i
$329$	2.37822	−	7.83994i	0.131115	−	0.432230i
$330$	−3.50320	−	7.42870i	−0.192845	−	0.408936i
$331$	−3.47987	−	2.58085i	−0.191271	−	0.141856i	0.495826	−	0.868422i	$-0.334865\pi$
$331$	−3.47987	−	2.58085i	−0.191271	−	0.141856i	−0.687097	+	0.726566i	$0.741115\pi$
$332$	−24.2781	−	14.6267i	−1.33244	−	0.802746i
$333$	−21.4865	−	45.4294i	−1.17745	−	2.48952i
$334$	2.73014	+	6.61236i	0.149387	+	0.361812i
$335$	−10.3342	−	15.4662i	−0.564618	−	0.845010i
$336$	−6.90580	+	9.22361i	−0.376742	+	0.503189i
$337$	16.8341	−	25.1940i	0.917011	−	1.37240i	−0.0110347	−	0.999939i	$-0.503513\pi$
$337$	16.8341	−	25.1940i	0.917011	−	1.37240i	0.928046	−	0.372465i	$-0.121487\pi$
$338$	7.93496	−	39.6565i	0.431605	−	2.15703i
$339$	0.270679	+	5.50979i	0.0147013	+	0.299251i
$340$	−4.55906	+	4.11329i	−0.247250	+	0.223074i
$341$	−9.02621	−	2.26095i	−0.488796	−	0.122437i
$342$	−10.8778	−	43.6367i	−0.588206	−	2.35960i
$343$	−9.08695	−	7.45747i	−0.490649	−	0.402665i
$344$	6.69596	−	18.5150i	0.361022	−	0.998263i
$345$	−7.75555	−	0.763855i	−0.417545	−	0.0411246i
$346$	−15.9166	+	9.51550i	−0.855680	+	0.511556i
$347$	−15.8586	−	0.779083i	−0.851334	−	0.0418234i	−0.381279	−	0.924460i	$-0.624516\pi$
$347$	−15.8586	−	0.779083i	−0.851334	−	0.0418234i	−0.470056	+	0.882637i	$0.655766\pi$
$348$	−3.11047	+	0.935848i	−0.166739	+	0.0501667i
$349$	−14.2219	−	2.10962i	−0.761280	−	0.112925i	−0.245208	−	0.969470i	$-0.578856\pi$
$349$	−14.2219	−	2.10962i	−0.761280	−	0.112925i	−0.516072	+	0.856545i	$0.672606\pi$
$350$	−4.46674	−	0.445053i	−0.238757	−	0.0237891i
$351$	35.7494	+	86.3067i	1.90816	+	4.60671i
$352$	4.39950	−	7.24657i	0.234494	−	0.386244i
$353$	4.06320	−	9.80942i	0.216262	−	0.522103i	−0.778100	−	0.628140i	$-0.783816\pi$
$353$	4.06320	−	9.80942i	0.216262	−	0.522103i	0.994362	+	0.106037i	$0.0338164\pi$
$354$	−4.27977	+	7.98507i	−0.227467	+	0.424402i
$355$	6.55127	−	4.85875i	0.347705	−	0.257876i
$356$	1.28831	−	1.56257i	0.0682805	−	0.0828161i
$357$	4.96027	+	5.47281i	0.262525	+	0.289652i
$358$	−2.16026	+	2.90588i	−0.114173	+	0.153580i
$359$	−13.8917	+	11.4006i	−0.733177	+	0.601703i	−0.925107	−	0.379706i	$-0.876025\pi$
$359$	−13.8917	+	11.4006i	−0.733177	+	0.601703i	0.191930	+	0.981409i	$0.438525\pi$
$360$	25.2812	+	1.32825i	1.33243	+	0.0700052i
$361$	−0.0885067	−	0.898623i	−0.00465824	−	0.0472960i
$362$	−2.48114	+	16.5967i	−0.130406	+	0.872303i
$363$	−24.3021	+	14.5661i	−1.27553	+	0.764523i
$364$	−6.85986	+	9.20572i	−0.359554	+	0.482511i
$365$	−2.15799	+	2.38098i	−0.112955	+	0.124626i
$366$	48.8398	−	9.65726i	2.55290	−	0.504793i
$367$	0.513363	+	2.58085i	0.0267973	+	0.134719i	0.991868	−	0.127270i	$-0.0406215\pi$
$367$	0.513363	+	2.58085i	0.0267973	+	0.134719i	−0.965071	+	0.261989i	$0.915621\pi$
$368$	−3.75959	−	7.11113i	−0.195982	−	0.370693i
$369$	−14.5571	+	73.1834i	−0.757811	+	3.80978i
$370$	−11.3839	−	0.0129157i	−0.591819	−	0.000671455i
$371$	−1.80735	−	0.646680i	−0.0938328	−	0.0335739i
$372$	27.0587	−	29.7188i	1.40293	−	1.54085i
$373$	−2.21216	−	14.9132i	−0.114541	−	0.772175i	−0.967988	−	0.250995i	$-0.919242\pi$
$373$	−2.21216	−	14.9132i	−0.114541	−	0.772175i	0.853447	−	0.521180i	$-0.174508\pi$
$374$	−4.02245	−	3.65406i	−0.207996	−	0.188947i
$375$	15.6491	+	29.2774i	0.808115	+	1.51188i
$376$	−20.0697	−	16.5854i	−1.03502	−	0.855327i
$377$	−3.09705	+	0.939480i	−0.159506	+	0.0483857i
$378$	0.915215	−	18.2081i	0.0470736	−	0.936523i
$379$	12.3453	−	26.1019i	0.634135	−	1.34077i	−0.289385	−	0.957213i	$-0.593451\pi$
$379$	12.3453	−	26.1019i	0.634135	−	1.34077i	0.923519	−	0.383552i	$-0.125299\pi$
$380$	−9.98703	−	2.01011i	−0.512324	−	0.103117i
$381$	−14.0952	−	56.2711i	−0.722117	−	2.88285i
$382$	−3.01235	−	0.917519i	−0.154125	−	0.0469443i
$383$		−	22.5189i		−	1.15066i	−0.817921	−	0.575331i	$-0.804873\pi$
$383$		−	22.5189i		−	1.15066i	0.817921	−	0.575331i	$-0.195127\pi$
$384$	18.5750	+	31.5563i	0.947904	+	1.61035i
$385$			1.59706i			0.0813935i
$386$	5.17476	−	16.9895i	0.263388	−	0.864742i
$387$	12.6435	+	50.4755i	0.642703	+	2.56581i
$388$	2.46142	+	3.70193i	0.124960	+	0.187937i
$389$	−7.84403	+	16.5848i	−0.397708	+	0.840883i	0.601412	+	0.798939i	$0.294605\pi$
$389$	−7.84403	+	16.5848i	−0.397708	+	0.840883i	−0.999120	+	0.0419438i	$0.986645\pi$
$390$	35.3026	+	1.77446i	1.78762	+	0.0898532i
$391$	−4.93429	+	1.49680i	−0.249538	+	0.0756965i
$392$	−15.5133	+	8.22426i	−0.783539	+	0.415388i
$393$	32.8724	+	61.4999i	1.65819	+	3.10226i
$394$	7.53370	−	8.29323i	0.379542	−	0.417807i
$395$	1.53759	+	10.3656i	0.0773644	+	0.521548i
$396$	1.04859	+	22.3806i	0.0526936	+	1.12467i
$397$	11.4679	+	4.10328i	0.575557	+	0.205938i	0.608547	−	0.793518i	$-0.291753\pi$
$397$	11.4679	+	4.10328i	0.575557	+	0.205938i	−0.0329896	+	0.999456i	$0.510503\pi$
$398$	−0.00474381	+	4.18118i	−0.000237786	+	0.209584i
$399$	−2.39068	+	12.0188i	−0.119684	+	0.601690i
$400$	−6.78163	+	12.5502i	−0.339082	+	0.627511i
$401$	3.40142	+	17.1001i	0.169859	+	0.853939i	0.967900	+	0.251336i	$0.0808698\pi$
$401$	3.40142	+	17.1001i	0.169859	+	0.853939i	−0.798041	+	0.602603i	$0.794130\pi$
$402$	13.7930	+	69.7558i	0.687934	+	3.47910i
$403$	26.8932	−	29.6720i	1.33964	−	1.47807i
$404$	5.67886	−	0.829214i	0.282534	−	0.0412549i
$405$	−25.1139	+	15.0527i	−1.24792	+	0.747975i
$406$	0.624665	+	0.0933847i	0.0310016	+	0.00463460i
$407$	−0.987519	−	10.0264i	−0.0489495	−	0.496992i
$408$	22.1275	−	7.83250i	1.09548	−	0.387766i
$409$	−14.2248	+	11.6740i	−0.703371	+	0.577242i	−0.916622	−	0.399756i	$-0.869095\pi$
$409$	−14.2248	+	11.6740i	−0.703371	+	0.577242i	0.213250	+	0.976998i	$0.431595\pi$
$410$	13.5649	+	10.0843i	0.669923	+	0.498028i
$411$	−26.9722	−	29.7592i	−1.33044	−	1.46791i
$412$	0.134276	+	1.39579i	0.00661530	+	0.0687656i
$413$	1.41496	−	1.04941i	0.0696256	−	0.0516379i
$414$	18.7373	+	10.0426i	0.920887	+	0.493569i
$415$	6.49371	−	15.6772i	0.318764	−	0.769564i
$416$	18.5789	+	31.3996i	0.910906	+	1.53949i
$417$	−5.45922	−	13.1797i	−0.267339	−	0.645414i
$418$	0.893899	−	8.97155i	0.0437220	−	0.438813i
$419$	3.96664	+	0.588395i	0.193783	+	0.0287450i	0.242916	−	0.970047i	$-0.421896\pi$
$419$	3.96664	+	0.588395i	0.193783	+	0.0287450i	−0.0491334	+	0.998792i	$0.515646\pi$
$420$	−6.07630	−	3.26560i	−0.296493	−	0.159345i
$421$	−9.26518	−	0.455169i	−0.451557	−	0.0221836i	−0.177981	−	0.984034i	$-0.556957\pi$
$421$	−9.26518	−	0.455169i	−0.451557	−	0.0221836i	−0.273576	+	0.961850i	$0.588207\pi$
$422$	1.47109	+	2.46070i	0.0716117	+	0.119785i
$423$	68.4787	+	6.74457i	3.32955	+	0.327932i
$424$	−4.11202	+	4.50600i	−0.199697	+	0.218831i
$425$	7.06879	+	5.80120i	0.342887	+	0.281400i
$426$	−30.2536	+	7.54167i	−1.46579	+	0.365395i
$427$	−9.39056	−	2.35221i	−0.454441	−	0.113832i
$428$	−1.18055	+	22.9672i	−0.0570641	+	1.11016i
$429$	1.53498	+	31.2453i	0.0741096	+	1.50854i
$430$	11.5581	+	2.31269i	0.557382	+	0.111528i
$431$	−13.3499	+	19.9795i	−0.643040	+	0.962378i	0.356565	+	0.934271i	$0.383948\pi$
$431$	−13.3499	+	19.9795i	−0.643040	+	0.962378i	−0.999605	+	0.0281072i	$0.991052\pi$
$432$	−52.2616	−	25.0088i	−2.51444	−	1.20323i
$433$	−6.80997	−	10.1918i	−0.327266	−	0.489788i	0.630954	−	0.775820i	$-0.282664\pi$
$433$	−6.80997	−	10.1918i	−0.327266	−	0.489788i	−0.958220	+	0.286032i	$0.907664\pi$
$434$	−7.22370	+	2.98256i	−0.346749	+	0.143167i
$435$	−0.831440	−	1.75793i	−0.0398645	−	0.0842864i
$436$	−5.45290	−	21.9807i	−0.261147	−	1.05268i
$437$	−6.87120	−	5.09603i	−0.328694	−	0.243776i
$438$	11.1105	−	5.23945i	0.530879	−	0.250351i
$439$	−4.91721	+	16.2099i	−0.234685	+	0.773654i	0.757928	+	0.652338i	$0.226212\pi$
$439$	−4.91721	+	16.2099i	−0.234685	+	0.773654i	−0.992614	+	0.121316i	$0.961288\pi$
$440$	4.68236	+	1.95820i	0.223223	+	0.0933533i
$441$	21.8753	−	40.9257i	1.04168	−	1.94884i
$442$	22.0294	−	7.85407i	1.04783	−	0.373580i
$443$	16.8970	−	6.04586i	0.802802	−	0.287247i	0.0966603	−	0.995317i	$-0.469184\pi$
$443$	16.8970	−	6.04586i	0.802802	−	0.287247i	0.706142	+	0.708070i	$0.250434\pi$
$444$	40.1668	+	16.7445i	1.90623	+	0.794659i
$445$	1.03995	+	0.623320i	0.0492982	+	0.0295482i
$446$	−28.0384	−	23.0638i	−1.32765	−	1.09210i
$447$	46.4890	−	46.4890i	2.19885	−	2.19885i
$448$	−0.649646	−	7.09047i	−0.0306929	−	0.334993i
$449$	−6.59904	−	6.59904i	−0.311428	−	0.311428i	0.534035	−	0.845463i	$-0.320675\pi$
$449$	−6.59904	−	6.59904i	−0.311428	−	0.311428i	−0.845463	+	0.534035i	$0.820675\pi$
$450$	−3.65283	−	37.5242i	−0.172196	−	1.76891i
$451$	−7.69056	+	12.8309i	−0.362134	+	0.604185i
$452$	−2.40494	−	2.41588i	−0.113119	−	0.113633i
$453$	9.71192	+	27.1430i	0.456306	+	1.27529i
$454$	3.88723	−	8.19480i	0.182437	−	0.384601i
$455$	−6.06161	−	3.24000i	−0.284173	−	0.151893i
$456$	32.3062	+	21.7457i	1.51287	+	1.01834i
$457$	−31.9323	−	9.68657i	−1.49373	−	0.453119i	−0.565383	−	0.824828i	$-0.691272\pi$
$457$	−31.9323	−	9.68657i	−1.49373	−	0.453119i	−0.928349	+	0.371710i	$0.878772\pi$
$458$	−16.0568	−	5.76579i	−0.750287	−	0.269418i
$459$	−22.1240	+	29.8307i	−1.03266	+	1.39238i
$460$	3.87448	−	2.85991i	0.180649	−	0.133344i
$461$	13.8094	−	6.53136i	0.643168	−	0.304196i	−0.0780027	−	0.996953i	$-0.524854\pi$
$461$	13.8094	−	6.53136i	0.643168	−	0.304196i	0.721171	+	0.692757i	$0.243604\pi$
$462$	2.34271	−	5.63770i	0.108993	−	0.262289i
$463$	−16.6076	+	11.0968i	−0.771820	+	0.515714i	−0.878016	−	0.478631i	$-0.841133\pi$
$463$	−16.6076	+	11.0968i	−0.771820	+	0.515714i	0.106196	+	0.994345i	$0.466133\pi$
$464$	1.03971	−	1.71693i	0.0482674	−	0.0797067i
$465$	20.0069	+	13.3682i	0.927797	+	0.619934i
$466$	8.98134	+	13.4746i	0.416052	+	0.624198i
$467$	−21.3797	+	1.05032i	−0.989335	+	0.0486029i	−0.537294	−	0.843395i	$-0.680554\pi$
$467$	−21.3797	+	1.05032i	−0.989335	+	0.0486029i	−0.452040	+	0.891998i	$0.649304\pi$
$468$	−87.0728	−	41.4244i	−4.02494	−	1.91484i
$469$	3.35957	−	13.4121i	0.155130	−	0.619315i
$470$	8.02859	−	13.3605i	0.370331	−	0.616274i
$471$	7.32196	−	8.92183i	0.337378	−	0.411096i
$472$	−1.34180	−	5.43519i	−0.0617613	−	0.250175i
$473$	−1.02251	+	10.3817i	−0.0470149	+	0.477351i
$474$	9.77740	−	38.8465i	0.449091	−	1.78428i
$475$	−0.744423	+	15.1531i	−0.0341565	+	0.695271i
$476$	−4.54124	−	0.457680i	−0.208148	−	0.0209777i
$477$	2.36562	−	15.9477i	0.108315	−	0.730197i
$478$	6.74815	+	8.24169i	0.308653	+	0.376966i
$479$	17.1478	−	7.10285i	0.783503	−	0.324537i	0.0451746	−	0.998979i	$-0.485616\pi$
$479$	17.1478	−	7.10285i	0.783503	−	0.324537i	0.738328	+	0.674442i	$0.235616\pi$
$480$	−17.0247	+	13.8109i	−0.777065	+	0.630378i
$481$	40.0587	+	16.5929i	1.82652	+	0.756569i
$482$	−0.0484161	−	0.160261i	−0.00220529	−	0.00729968i
$483$	−3.45072	−	4.65276i	−0.157013	−	0.211708i
$484$	5.12037	−	16.7428i	0.232744	−	0.761034i
$485$	−1.97201	+	1.78733i	−0.0895446	+	0.0811585i
$486$	49.9376	−	7.34965i	2.26521	−	0.333387i
$487$	−18.1230	−	22.0829i	−0.821231	−	1.00067i	−0.999860	−	0.0167567i	$-0.994666\pi$
$487$	−18.1230	−	22.0829i	−0.821231	−	1.00067i	0.178628	−	0.983917i	$-0.442834\pi$
$488$	−18.4104	+	24.6478i	−0.833401	+	1.11575i
$489$	−30.1229	+	2.96684i	−1.36220	+	0.134165i
$490$	−6.25237	−	8.45037i	−0.282453	−	0.381749i
$491$	−0.630612	−	1.05211i	−0.0284591	−	0.0474812i	0.843170	−	0.537646i	$-0.180686\pi$
$491$	−0.630612	−	1.05211i	−0.0284591	−	0.0474812i	−0.871630	+	0.490165i	$0.836936\pi$
$492$	−33.0923	−	55.4964i	−1.49192	−	2.50197i
$493$	−0.953367	−	0.864081i	−0.0429375	−	0.0389163i
$494$	32.2380	+	21.5937i	1.45045	+	0.971545i
$495$	−13.1558	+	2.61686i	−0.591311	+	0.117619i
$496$	−0.112712	+	24.8360i	−0.00506093	+	1.11517i
$497$	5.94629	+	1.18279i	0.266727	+	0.0530554i
$498$	−45.9200	+	45.8159i	−2.05772	+	2.05306i
$499$	2.11301	−	5.90548i	0.0945915	−	0.264366i	−0.884924	−	0.465736i	$-0.845790\pi$
$499$	2.11301	−	5.90548i	0.0945915	−	0.264366i	0.979515	+	0.201371i	$0.0645396\pi$
$500$	−19.2991	−	6.95477i	−0.863082	−	0.311027i
$501$	16.1949	−	2.40228i	0.723534	−	0.107326i
$502$	0.660295	+	13.7591i	0.0294704	+	0.614100i
$503$	−1.65502	+	0.884627i	−0.0737938	+	0.0394436i	−0.507881	−	0.861427i	$-0.669571\pi$
$503$	−1.65502	+	0.884627i	−0.0737938	+	0.0394436i	0.434087	+	0.900871i	$0.357071\pi$
$504$	11.8883	+	14.5869i	0.529548	+	0.649754i
$505$	0.997384	+	3.28793i	0.0443830	+	0.146311i
$506$	2.85858	+	3.16115i	0.127079	+	0.140530i
$507$	−83.6699	−	39.5729i	−3.71591	−	1.75749i
$508$	29.7601	+	19.9829i	1.32039	+	0.886596i
$509$	−6.78580	+	1.69975i	−0.300775	+	0.0753403i	−0.390430	−	0.920633i	$-0.627674\pi$
$509$	−6.78580	+	1.69975i	−0.300775	+	0.0753403i	0.0896547	+	0.995973i	$0.471424\pi$
$510$	6.61036	+	12.4009i	0.292712	+	0.549123i
$511$	−2.38858			−0.105665
$512$	−21.5849	−	6.78915i	−0.953926	−	0.300041i
$513$	−61.6170			−2.72046
$514$	−3.95782	−	7.42481i	−0.174572	−	0.327494i
$515$	−0.814332	+	0.203980i	−0.0358838	+	0.00898842i
$516$	−37.4083	−	25.1184i	−1.64681	−	1.10578i
$517$	12.4705	+	5.89812i	0.548453	+	0.259399i
$518$	−5.67550	−	6.27625i	−0.249367	−	0.275763i
$519$	12.3196	+	40.6122i	0.540769	+	1.78268i
$520$	−16.9316	+	13.7992i	−0.742499	+	0.605135i
$521$	−33.0749	+	17.6789i	−1.44904	+	0.774527i	−0.993297	−	0.115586i	$-0.963125\pi$
$521$	−33.0749	+	17.6789i	−1.44904	+	0.774527i	−0.455740	+	0.890113i	$0.650625\pi$
$522$	0.254284	+	5.29872i	0.0111297	+	0.231919i
$523$	35.6021	−	5.28108i	1.55677	−	0.230925i	0.687843	−	0.725860i	$-0.258558\pi$
$523$	35.6021	−	5.28108i	1.55677	−	0.230925i	0.868930	+	0.494935i	$0.164808\pi$
$524$	−40.5396	−	14.6091i	−1.77098	−	0.638203i
$525$	−3.46091	+	9.67260i	−0.151047	+	0.422147i
$526$	17.2719	−	17.2327i	0.753090	−	0.751383i
$527$	15.6149	+	3.10599i	0.680195	+	0.135299i
$528$	−13.6565	−	13.7811i	−0.594325	−	0.599744i
$529$	−18.5918	+	3.69815i	−0.808341	+	0.160789i
$530$	−3.03430	−	2.03244i	−0.131802	−	0.0882835i
$531$	10.9630	+	9.93630i	0.475755	+	0.431199i
$532$	−3.87825	−	6.50388i	−0.168143	−	0.281979i
$533$	−33.0976	−	55.2200i	−1.43362	−	2.39184i
$534$	−2.75673	−	3.72584i	−0.119295	−	0.161233i
$535$	−13.7019	+	1.34952i	−0.592383	+	0.0583447i
$536$	−35.2034	−	26.2948i	−1.52056	−	1.13576i
$537$	5.25704	+	6.40572i	0.226858	+	0.276427i
$538$	39.4233	−	5.80219i	1.69966	−	0.250150i
$539$	6.89328	−	6.24770i	0.296914	−	0.269108i
$540$	10.1441	−	33.1694i	0.436532	−	1.42738i
$541$	3.51474	+	4.73908i	0.151110	+	0.203749i	0.872276	−	0.489014i	$-0.162643\pi$
$541$	3.51474	+	4.73908i	0.151110	+	0.203749i	−0.721165	+	0.692763i	$0.756393\pi$
$542$	1.67688	+	5.55058i	0.0720279	+	0.238418i
$543$	35.4816	+	14.6970i	1.52266	+	0.630707i
$544$	−6.91001	+	12.7532i	−0.296264	+	0.546788i
$545$	12.5263	−	5.18855i	0.536566	−	0.222253i
$546$	16.6451	+	20.3291i	0.712345	+	0.870006i
$547$	−1.11539	+	7.51938i	−0.0476908	+	0.321505i	0.952182	+	0.305533i	$0.0988345\pi$
$547$	−1.11539	+	7.51938i	−0.0476908	+	0.321505i	−0.999872	+	0.0159728i	$0.994915\pi$
$548$	24.6936	+	2.48870i	1.05486	+	0.106312i
$549$	3.98957	−	81.2095i	0.170271	−	3.46594i
$550$	1.84486	−	7.32979i	0.0786650	−	0.312543i
$551$	0.209236	−	2.12441i	0.00891377	−	0.0905030i
$552$	−17.8723	+	4.41219i	−0.760697	+	0.187795i
$553$	−4.94143	+	6.02114i	−0.210131	+	0.256045i
$554$	−2.35282	+	3.91536i	−0.0999618	+	0.166348i
$555$	−6.33035	+	25.2722i	−0.268708	+	1.07274i
$556$	7.96040	+	3.78712i	0.337596	+	0.160610i
$557$	18.5239	−	0.910020i	0.784882	−	0.0385588i	0.347319	−	0.937747i	$-0.387092\pi$
$557$	18.5239	−	0.910020i	0.784882	−	0.0385588i	0.437562	+	0.899188i	$0.355842\pi$
$558$	−36.4054	−	54.6186i	−1.54116	−	2.31219i
$559$	−37.3292	−	24.9426i	−1.57886	−	1.05496i
$560$	4.13962	−	1.01698i	0.174931	−	0.0429752i
$561$	−10.3410	+	6.90961i	−0.436596	+	0.291724i
$562$	15.2940	−	36.8049i	0.645140	−	1.55252i
$563$	−1.29208	+	0.611108i	−0.0544546	+	0.0257551i	−0.454588	−	0.890702i	$-0.650214\pi$
$563$	−1.29208	+	0.611108i	−0.0544546	+	0.0257551i	0.400134	+	0.916457i	$0.368964\pi$
$564$	−47.9398	+	35.3862i	−2.01863	+	1.49003i
$565$	1.21571	−	1.63920i	0.0511453	−	0.0689615i
$566$	13.2889	+	4.77187i	0.558576	+	0.200577i
$567$	−20.8269	−	6.31776i	−0.874646	−	0.265321i
$568$	10.7587	−	15.9835i	0.451425	−	0.670653i
$569$	−1.24660	−	0.666320i	−0.0522601	−	0.0279336i	0.445060	−	0.895501i	$-0.353182\pi$
$569$	−1.24660	−	0.666320i	−0.0522601	−	0.0279336i	−0.497320	+	0.867567i	$0.665682\pi$
$570$	−9.99214	+	21.0647i	−0.418525	+	0.882305i
$571$	11.9039	+	33.2690i	0.498161	+	1.39227i	0.883039	+	0.469299i	$0.155493\pi$
$571$	11.9039	+	33.2690i	0.498161	+	1.39227i	−0.384879	+	0.922967i	$0.625757\pi$
$572$	−13.6381	−	13.7001i	−0.570237	−	0.572831i
$573$	−3.70499	+	6.18140i	−0.154778	+	0.258232i
$574$	1.21730	+	12.5049i	0.0508093	+	0.521946i
$575$	−5.07115	−	5.07115i	−0.211482	−	0.211482i
$576$	57.3436	−	16.9696i	2.38932	−	0.707066i
$577$	11.8548	−	11.8548i	0.493520	−	0.493520i	−0.415893	−	0.909413i	$-0.636531\pi$
$577$	11.8548	−	11.8548i	0.493520	−	0.493520i	0.909413	+	0.415893i	$0.136531\pi$
$578$	−11.3863	−	9.36613i	−0.473608	−	0.389580i
$579$	−34.8628	−	20.8959i	−1.44885	−	0.868406i
$580$	1.10916	+	0.462379i	0.0460552	+	0.0191993i
$581$	11.8760	−	4.24928i	0.492697	−	0.176290i
$582$	9.58315	−	3.41665i	0.397234	−	0.141624i
$583$	1.52364	−	2.85052i	0.0631026	−	0.118057i
$584$	−2.92871	+	7.00302i	−0.121191	+	0.289787i
$585$	16.7574	−	55.2418i	0.692833	−	2.28397i
$586$	22.7547	−	10.7306i	0.939988	−	0.443277i
$587$	−15.5501	−	11.5327i	−0.641821	−	0.476007i	0.225177	−	0.974318i	$-0.427704\pi$
$587$	−15.5501	−	11.5327i	−0.641821	−	0.476007i	−0.866999	+	0.498311i	$0.833954\pi$
$588$	9.67546	+	39.0019i	0.399009	+	1.60841i
$589$	11.2933	+	23.8777i	0.465333	+	0.983864i
$590$	3.09796	−	1.27910i	0.127541	−	0.0526598i
$591$	−14.2458	−	21.3203i	−0.585994	−	0.877002i
$592$	−25.3601	+	8.94436i	−1.04229	+	0.367611i
$593$	−17.7028	+	26.4941i	−0.726966	+	1.08798i	0.265337	+	0.964156i	$0.414517\pi$
$593$	−17.7028	+	26.4941i	−0.726966	+	1.08798i	−0.992304	+	0.123827i	$0.960483\pi$
$594$	30.1011	+	6.02298i	1.23506	+	0.247126i
$595$	−0.134079	−	2.72924i	−0.00549670	−	0.111888i
$596$	−2.08554	+	40.5733i	−0.0854269	+	1.66195i
$597$	9.28223	+	2.32508i	0.379896	+	0.0951590i
$598$	−17.7974	+	4.43657i	−0.727791	+	0.181425i
$599$	23.8223	+	19.5505i	0.973353	+	0.798810i	0.979556	−	0.201171i	$-0.0644745\pi$
$599$	23.8223	+	19.5505i	0.973353	+	0.798810i	−0.00620317	+	0.999981i	$0.501975\pi$
$600$	24.1153	+	22.0068i	0.984503	+	0.898424i
$601$	−8.55107	−	0.842207i	−0.348806	−	0.0343543i	−0.0779025	−	0.996961i	$-0.524822\pi$
$601$	−8.55107	−	0.842207i	−0.348806	−	0.0343543i	−0.270903	+	0.962607i	$0.587322\pi$
$602$	4.49585	+	7.52022i	0.183237	+	0.306501i
$603$	115.988	+	5.69813i	4.72340	+	0.232046i
$604$	−15.6916	−	8.43316i	−0.638482	−	0.343141i
$605$	10.3684	+	1.53801i	0.421536	+	0.0625289i
$606$	1.30222	−	13.0696i	0.0528991	−	0.530918i
$607$	1.22850	+	2.96587i	0.0498634	+	0.120381i	0.946848	−	0.321680i	$-0.104248\pi$
$607$	1.22850	+	2.96587i	0.0498634	+	0.120381i	−0.896985	+	0.442061i	$0.854248\pi$
$608$	−23.8238	+	3.39592i	−0.966182	+	0.137723i
$609$	0.553163	−	1.33545i	0.0224153	−	0.0541153i
$610$	−16.2335	−	8.70069i	−0.657276	−	0.352281i
$611$	−47.6856	+	35.3661i	−1.92915	+	1.43076i
$612$	−3.67089	−	38.1587i	−0.148387	−	1.54247i
$613$	29.9750	+	33.0724i	1.21068	+	1.33578i	0.926170	+	0.377107i	$0.123081\pi$
$613$	29.9750	+	33.0724i	1.21068	+	1.33578i	0.284511	+	0.958673i	$0.408169\pi$
$614$	−15.2992	−	11.3736i	−0.617427	−	0.459002i
$615$	29.9025	−	24.5403i	1.20578	−	0.989562i
$616$	1.25885	+	3.55636i	0.0507204	+	0.143290i
$617$	−1.53815	−	15.6171i	−0.0619237	−	0.628722i	−0.975192	−	0.221363i	$-0.928950\pi$
$617$	−1.53815	−	15.6171i	−0.0619237	−	0.628722i	0.913268	−	0.407360i	$-0.133550\pi$
$618$	3.17386	+	0.474478i	0.127671	+	0.0190863i
$619$	26.4109	−	15.8301i	1.06155	−	0.636266i	0.126925	−	0.991912i	$-0.459489\pi$
$619$	26.4109	−	15.8301i	1.06155	−	0.636266i	0.934621	+	0.355646i	$0.115739\pi$
$620$	−14.7130	+	2.14835i	−0.590887	+	0.0862800i
$621$	19.5606	−	21.5818i	0.784940	−	0.866048i
$622$	4.22116	+	21.3478i	0.169253	+	0.855967i
$623$	0.175821	+	0.883913i	0.00704412	+	0.0354132i
$624$	80.0114	−	23.8752i	3.20302	−	0.955773i
$625$	−1.08280	+	5.44361i	−0.0433120	+	0.217744i
$626$	−0.0369739	+	32.5887i	−0.00147777	+	1.30251i
$627$	−19.4276	−	6.95132i	−0.775865	−	0.277609i
$628$	0.333790	+	7.12428i	0.0133197	+	0.284290i
$629$	2.52935	+	17.0515i	0.100852	+	0.679887i
$630$	−7.57518	+	8.33889i	−0.301802	+	0.332229i
$631$	3.13171	+	5.85901i	0.124671	+	0.233244i	0.936512	−	0.350635i	$-0.114034\pi$
$631$	3.13171	+	5.85901i	0.124671	+	0.233244i	−0.811841	+	0.583879i	$0.801534\pi$
$632$	11.5944	+	21.8703i	0.461200	+	0.869955i
$633$	6.27863	−	1.90460i	0.249553	−	0.0757011i
$634$	−41.4853	−	2.08523i	−1.64759	−	0.0828150i
$635$	−9.17562	+	19.4002i	−0.364123	+	0.769874i
$636$	7.72989	+	11.6256i	0.306510	+	0.460986i
$637$	9.72848	+	38.8383i	0.385457	+	1.53883i
$638$	−0.309874	+	1.01736i	−0.0122680	+	0.0402777i
$639$			50.9209i			2.01440i
$640$	2.09406	−	13.3838i	0.0827750	−	0.529041i
$641$			7.64716i			0.302045i	0.988530	+	0.151022i	$0.0482565\pi$
$641$			7.64716i			0.302045i	−0.988530	+	0.151022i	$0.951743\pi$
$642$	50.3480	+	15.3353i	1.98708	+	0.605236i
$643$	1.41522	+	5.64989i	0.0558109	+	0.222810i	0.991518	−	0.129968i	$-0.0414873\pi$
$643$	1.41522	+	5.64989i	0.0558109	+	0.222810i	−0.935707	+	0.352777i	$0.885237\pi$
$644$	3.50920	+	0.706305i	0.138282	+	0.0278323i
$645$	11.5337	−	24.3860i	0.454141	−	0.960199i
$646$	−0.774406	+	15.4067i	−0.0304686	+	0.606169i
$647$	23.9285	−	7.25862i	0.940725	−	0.285366i	0.217564	−	0.976046i	$-0.430189\pi$
$647$	23.9285	−	7.25862i	0.940725	−	0.285366i	0.723160	+	0.690680i	$0.242689\pi$
$648$	−44.0593	+	53.3153i	−1.73081	+	2.09442i
$649$	1.39829	+	2.61601i	0.0548876	+	0.102687i
$650$	24.0774	+	21.8723i	0.944395	+	0.857903i
$651$	2.62439	+	17.6922i	0.102858	+	0.693411i
$652$	12.5924	−	13.8304i	0.493158	−	0.541641i
$653$	28.2788	+	10.1183i	1.10664	+	0.395961i	0.825895	−	0.563823i	$-0.190670\pi$
$653$	28.2788	+	10.1183i	1.10664	+	0.395961i	0.280740	+	0.959784i	$0.409420\pi$
$654$	−51.8295	−	0.0588037i	−2.02669	−	0.00229941i
$655$	5.03297	−	25.3024i	0.196654	−	0.988648i
$656$	38.1554	+	11.7637i	1.48972	+	0.459294i
$657$	−3.91382	−	19.6761i	−0.152693	−	0.767637i
$658$	11.3662	−	2.24747i	0.443100	−	0.0876155i
$659$	−29.0949	+	32.1012i	−1.13337	+	1.25049i	−0.169095	+	0.985600i	$0.554085\pi$
$659$	−29.0949	+	32.1012i	−1.13337	+	1.25049i	−0.964280	+	0.264887i	$0.914665\pi$
$660$	6.94040	−	9.31380i	0.270155	−	0.362539i
$661$	−25.7360	+	15.4255i	−1.00101	+	0.599984i	−0.918007	−	0.396565i	$-0.870202\pi$
$661$	−25.7360	+	15.4255i	−1.00101	+	0.599984i	−0.0830060	+	0.996549i	$0.526452\pi$
$662$	0.905899	−	6.05970i	0.0352088	−	0.235517i
$663$	−5.24632	−	53.2668i	−0.203750	−	2.06871i
$664$	2.10309	−	40.0289i	0.0816158	−	1.55342i
$665$	3.50441	−	2.87600i	0.135895	−	0.111526i
$666$	42.4013	−	57.0362i	1.64302	−	2.21011i
$667$	0.677667	+	0.747691i	0.0262394	+	0.0289507i
$668$	−6.43589	+	7.80597i	−0.249012	+	0.302022i
$669$	−66.7370	+	49.4955i	−2.58020	+	1.91361i
$670$	12.4268	−	23.1856i	0.480090	−	0.895739i
$671$	6.23791	−	15.0597i	0.240812	−	0.581372i
$672$	−16.1049	−	2.48239i	−0.621260	−	0.0957601i
$673$	−8.78032	−	21.1976i	−0.338457	−	0.817107i	−0.997864	−	0.0653210i	$-0.979193\pi$
$673$	−8.78032	−	21.1976i	−0.338457	−	0.817107i	0.659408	−	0.751786i	$-0.270807\pi$
$674$	42.6403	+	4.24856i	1.64244	+	0.163648i
$675$	−51.0965	−	7.57945i	−1.96671	−	0.291733i
$676$	54.7692	−	16.4784i	2.10651	−	0.633786i
$677$	−32.5516	−	1.59916i	−1.25106	−	0.0614607i	−0.587278	−	0.809385i	$-0.699800\pi$
$677$	−32.5516	−	1.59916i	−1.25106	−	0.0614607i	−0.663783	+	0.747925i	$0.731050\pi$
$678$	−6.69605	+	4.00314i	−0.257160	+	0.153740i
$679$	−1.96879	−	0.193909i	−0.0755551	−	0.00744153i
$680$	−8.16618	−	2.95330i	−0.313159	−	0.113254i
$681$	−16.0458	−	13.1684i	−0.614875	−	0.504615i
$682$	−3.18298	−	12.7686i	−0.121882	−	0.488935i
$683$	3.83321	+	0.960170i	0.146674	+	0.0367399i	0.315622	−	0.948885i	$-0.397787\pi$
$683$	3.83321	+	0.960170i	0.146674	+	0.0367399i	−0.168948	+	0.985625i	$0.554037\pi$
$684$	47.2214	−	42.6042i	1.80556	−	1.62901i
$685$	0.729073	+	14.8406i	0.0278565	+	0.567031i
$686$	3.26177	−	16.3013i	0.124535	−	0.622388i
$687$	−21.6921	+	32.4645i	−0.827606	+	1.23860i
$688$	27.5608	−	3.96051i	1.05075	−	0.150993i
$689$	7.72809	+	11.5659i	0.294417	+	0.440626i
$690$	−4.20603	−	10.1869i	−0.160121	−	0.387809i
$691$	0.906336	+	1.91629i	0.0344787	+	0.0728990i	0.920493	−	0.390758i	$-0.127787\pi$
$691$	0.906336	+	1.91629i	0.0344787	+	0.0728990i	−0.886015	+	0.463657i	$0.846537\pi$
$692$	−22.4635	−	13.5335i	−0.853934	−	0.514466i
$693$	−8.00841	−	5.93944i	−0.304214	−	0.225621i
$694$	−9.57750	−	20.3095i	−0.363557	−	0.770938i
$695$	−1.53200	+	5.05033i	−0.0581121	+	0.191570i
$696$	−3.23713	−	3.25924i	−0.122703	−	0.123541i
$697$	12.0653	−	22.5727i	0.457008	−	0.855001i
$698$	−6.82821	−	19.1520i	−0.258451	−	0.724915i
$699$	34.8938	−	12.4852i	1.31980	−	0.472233i
$700$	−2.41604	−	5.87047i	−0.0913176	−	0.221883i
$701$	−5.65675	−	3.39053i	−0.213653	−	0.128058i	0.403274	−	0.915079i	$-0.367872\pi$
$701$	−5.65675	−	3.39053i	−0.213653	−	0.128058i	−0.616926	+	0.787021i	$0.711622\pi$
$702$	−83.9272	+	102.029i	−3.16763	+	3.85085i
$703$	−20.2226	+	20.2226i	−0.762712	+	0.762712i
$704$	11.9703	+	0.669775i	0.451148	+	0.0252431i
$705$	−25.2244	−	25.2244i	−0.950005	−	0.950005i
$706$	14.9450	−	1.45483i	0.562461	−	0.0547533i
$707$	−1.31299	+	2.19060i	−0.0493802	+	0.0823858i
$708$	−12.8123	−	0.0290727i	−0.481515	−	0.00109262i
$709$	6.17582	+	17.2603i	0.231938	+	0.648222i	0.999969	+	0.00781071i	$0.00248625\pi$
$709$	6.17582	+	17.2603i	0.231938	+	0.648222i	−0.768032	+	0.640412i	$0.778764\pi$
$710$	10.4218	+	4.94362i	0.391123	+	0.185531i
$711$	−57.6963	−	30.8393i	−2.16378	−	1.15656i
$712$	2.80710	+	0.568306i	0.105200	+	0.0212982i
$713$	−11.9484	−	3.62452i	−0.447473	−	0.135739i
$714$	−3.53019	+	9.83105i	−0.132114	+	0.367918i
$715$	6.89412	−	9.29565i	0.257826	−	0.347638i
$716$	−5.06357	−	0.762857i	−0.189235	−	0.0285093i
$717$	22.0372	−	10.4228i	0.822996	−	0.389248i
$718$	−23.4691	−	9.75243i	−0.875859	−	0.363958i
$719$	−6.62109	+	4.42407i	−0.246925	+	0.164990i	−0.672874	−	0.739757i	$-0.734940\pi$
$719$	−6.62109	+	4.42407i	−0.246925	+	0.164990i	0.425949	+	0.904747i	$0.359940\pi$
$720$	15.1604	+	32.4340i	0.564995	+	1.20874i
$721$	−0.518844	−	0.346680i	−0.0193228	−	0.0129111i
$722$	1.06259	−	0.708255i	0.0395454	−	0.0263585i
$723$	−0.382681	+	0.0187999i	−0.0142320	+	0.000699175i
$724$	−22.3629	+	7.94439i	−0.831111	+	0.295251i
$725$	0.434833	−	1.73595i	0.0161493	−	0.0644716i
$726$	−34.3450	−	20.6386i	−1.27466	−	0.765970i
$727$	15.2759	−	18.6137i	0.566550	−	0.690343i	−0.408391	−	0.912807i	$-0.633910\pi$
$727$	15.2759	−	18.6137i	0.566550	−	0.690343i	0.974941	+	0.222464i	$0.0714100\pi$
$728$	−16.0520	−	2.43696i	−0.594927	−	0.0903196i
$729$	4.13214	−	41.9544i	0.153042	−	1.55387i
$730$	−4.40700	−	1.10921i	−0.163110	−	0.0410538i
$731$	0.875800	−	17.8273i	0.0323926	−	0.659367i
$732$	44.5423	+	54.5268i	1.64633	+	2.01537i
$733$	−2.20071	+	14.8360i	−0.0812851	+	0.547979i	0.909831	+	0.414979i	$0.136211\pi$
$733$	−2.20071	+	14.8360i	−0.0812851	+	0.547979i	−0.991116	+	0.133000i	$0.957539\pi$
$734$	−2.87934	+	2.35755i	−0.106278	+	0.0870188i
$735$	−22.2262	+	9.20639i	−0.819826	+	0.339583i
$736$	6.37352	−	9.42250i	0.234931	−	0.347318i
$737$	21.5091	+	8.90934i	0.792296	+	0.328180i
$738$	−101.015	+	30.5176i	−3.71843	+	1.12337i
$739$	20.8125	+	28.0624i	0.765599	+	1.03229i	0.998215	+	0.0597220i	$0.0190214\pi$
$739$	20.8125	+	28.0624i	0.765599	+	1.03229i	−0.232616	+	0.972569i	$0.574729\pi$
$740$	−7.55689	−	14.2154i	−0.277797	−	0.522570i
$741$	65.7972	−	59.6351i	2.41712	−	2.19075i
$742$	−0.395277	−	2.68573i	−0.0145111	−	0.0985963i
$743$	16.5787	+	20.2012i	0.608213	+	0.741110i	0.982512	−	0.186198i	$-0.0596166\pi$
$743$	16.5787	+	20.2012i	0.608213	+	0.741110i	−0.374299	+	0.927308i	$0.622117\pi$
$744$	55.0890	+	13.9985i	2.01966	+	0.513211i
$745$	−24.2054	+	2.38403i	−0.886818	+	0.0873439i
$746$	17.1397	−	12.6816i	0.627530	−	0.464306i
$747$	54.4631	+	90.8661i	1.99270	+	3.32462i
$748$	1.88430	−	7.45076i	0.0688967	−	0.272427i
$749$	−7.58298	−	6.87281i	−0.277076	−	0.251127i
$750$	−26.1272	+	39.0062i	−0.954030	+	1.42431i
$751$	13.0736	−	2.60051i	0.477064	−	0.0948939i	0.0492993	−	0.998784i	$-0.484301\pi$
$751$	13.0736	−	2.60051i	0.477064	−	0.0948939i	0.427765	+	0.903890i	$0.359301\pi$
$752$	7.34710	−	36.0799i	0.267921	−	1.31570i
$753$	30.9194	+	6.15025i	1.12677	+	0.224128i
$754$	−3.23274	−	3.24008i	−0.117729	−	0.117997i
$755$	3.59293	−	10.0416i	0.130760	−	0.365450i
$756$	23.3322	−	10.9706i	0.848583	−	0.398996i
$757$	22.9171	−	3.39943i	0.832937	−	0.123554i	0.283377	−	0.959009i	$-0.408545\pi$
$757$	22.9171	−	3.39943i	0.832937	−	0.123554i	0.549560	+	0.835454i	$0.314795\pi$
$758$	40.7873	−	1.95736i	1.48146	−	0.0710947i
$759$	8.60214	−	4.59794i	0.312238	−	0.166895i
$760$	−4.13519	−	13.8008i	−0.149999	−	0.500609i
$761$	−3.18797	−	10.5093i	−0.115564	−	0.380962i	0.880009	−	0.474957i	$-0.157536\pi$
$761$	−3.18797	−	10.5093i	−0.115564	−	0.380962i	−0.995573	+	0.0939946i	$0.970036\pi$
$762$	60.8485	−	55.0243i	2.20431	−	1.99332i
$763$	9.11053	+	4.30896i	0.329823	+	0.155995i
$764$	−0.858888	−	4.36972i	−0.0310735	−	0.158091i
$765$	22.2626	−	5.57648i	0.804905	−	0.201618i
$766$	28.1031	−	14.9805i	1.01541	−	0.541266i
$767$	−12.7658			−0.460947
$768$	−27.0247	+	44.1738i	−0.975171	+	1.59398i
$769$	−6.62323			−0.238840			−0.119420	−	0.992844i	$-0.538103\pi$
$769$	−6.62323			−0.238840			−0.119420	+	0.992844i	$0.538103\pi$
$770$	−1.99309	+	1.06243i	−0.0718261	+	0.0382872i
$771$	−18.6786	+	4.67875i	−0.672694	+	0.168501i
$772$	24.6450	−	4.84409i	0.886993	−	0.174343i
$773$	−43.9088	−	20.7673i	−1.57929	−	0.746948i	−0.581509	−	0.813540i	$-0.697537\pi$
$773$	−43.9088	−	20.7673i	−1.57929	−	0.746948i	−0.997780	+	0.0665922i	$0.978787\pi$
$774$	−54.5815	+	49.3571i	−1.96189	+	1.77410i
$775$	6.42792	+	21.1900i	0.230898	+	0.761167i
$776$	−2.98250	+	5.53447i	−0.107066	+	0.198676i
$777$	−17.0789	+	9.12889i	−0.612704	+	0.327497i
$778$	−25.9157	+	1.24368i	−0.929122	+	0.0445882i
$779$	42.0041	−	6.23072i	1.50495	−	0.223239i
$780$	21.2702	+	45.2374i	0.761596	+	1.61976i
$781$	−3.43917	+	9.61184i	−0.123063	+	0.343939i
$782$	−5.15047	−	5.16217i	−0.184180	−	0.184599i
$783$	7.12857	+	1.41796i	0.254754	+	0.0506738i
$784$	−20.5838	−	13.8892i	−0.735135	−	0.496042i
$785$	−4.18781	+	0.833007i	−0.149469	+	0.0297313i
$786$	−54.8826	+	81.9362i	−1.95760	+	2.92257i
$787$	−1.43047	−	1.29650i	−0.0509908	−	0.0462154i	0.645666	−	0.763620i	$-0.276580\pi$
$787$	−1.43047	−	1.29650i	−0.0509908	−	0.0462154i	−0.696657	+	0.717405i	$0.745330\pi$
$788$	15.3615	+	3.88492i	0.547231	+	0.138395i
$789$	−28.7064	−	47.8938i	−1.02198	−	1.70506i
$790$	−11.9132	+	8.81447i	−0.423851	+	0.313605i
$791$	1.50967	−	0.148689i	0.0536775	−	0.00528678i
$792$	−27.2330	+	16.1971i	−0.967684	+	0.575539i
$793$	44.5037	+	54.2280i	1.58037	+	1.92569i
$794$	2.50809	+	17.0414i	0.0890089	+	0.604776i
$795$	−6.19296	+	5.61297i	−0.219642	+	0.199072i
$796$	−5.22119	+	2.77557i	−0.185060	+	0.0983775i
$797$	3.32636	+	4.48508i	0.117826	+	0.158870i	0.858183	−	0.513344i	$-0.171594\pi$
$797$	3.32636	+	4.48508i	0.117826	+	0.158870i	−0.740357	+	0.672214i	$0.765344\pi$
$798$	−16.5895	+	5.01184i	−0.587264	+	0.177417i
$799$	−21.8063	−	9.03247i	−0.771451	−	0.319546i
$800$	−20.1738	−	0.114443i	−0.713253	−	0.00404618i
$801$	−6.99319	+	2.89667i	−0.247092	+	0.102349i
$802$	−19.0778	+	15.6206i	−0.673662	+	0.551582i
$803$	0.590139	−	3.97839i	0.0208256	−	0.140395i
$804$	−77.8782	+	63.6178i	−2.74655	+	2.24363i
$805$	−0.105153	+	2.14044i	−0.00370616	+	0.0754407i
$806$	54.9205	+	13.8231i	1.93449	+	0.486899i
$807$	8.93871	−	90.7563i	0.314658	−	3.19477i
$808$	4.81265	+	6.53548i	0.169308	+	0.229917i
$809$	27.2399	−	33.1919i	0.957704	−	1.16697i	−0.0281908	−	0.999603i	$-0.508975\pi$
$809$	27.2399	−	33.1919i	0.957704	−	1.16697i	0.985895	−	0.167364i	$-0.0535254\pi$
$810$	−35.4923	−	21.3280i	−1.24707	−	0.749390i
$811$	3.50295	−	13.9846i	0.123005	−	0.491065i	−0.876940	−	0.480600i	$-0.840419\pi$
$811$	3.50295	−	13.9846i	0.123005	−	0.491065i	0.999945	−	0.0104647i	$-0.00333107\pi$
$812$	0.299010	+	0.841693i	0.0104932	+	0.0295376i
$813$	13.2540	−	0.651128i	0.464839	−	0.0228361i
$814$	11.8559	−	7.90240i	0.415548	−	0.276979i
$815$	9.31072	+	6.22122i	0.326140	+	0.217920i
$816$	24.4949	+	22.4042i	0.857494	+	0.784304i
$817$	24.6218	−	16.4518i	0.861409	−	0.575575i
$818$	−24.0318	−	9.98627i	−0.840253	−	0.349162i
$819$	38.7900	−	18.3463i	1.35543	−	0.641072i
$820$	−3.56109	+	23.6372i	−0.124358	+	0.825448i
$821$	11.6569	−	15.7175i	0.406829	−	0.548546i	−0.551514	−	0.834166i	$-0.685950\pi$
$821$	11.6569	−	15.7175i	0.406829	−	0.548546i	0.958343	+	0.285620i	$0.0921996\pi$
$822$	19.1959	−	53.4577i	0.669535	−	1.86455i
$823$	42.0287	+	12.7493i	1.46503	+	0.444412i	0.919303	−	0.393551i	$-0.128754\pi$
$823$	42.0287	+	12.7493i	1.46503	+	0.444412i	0.545727	+	0.837963i	$0.316254\pi$
$824$	−1.65259	+	1.09611i	−0.0575708	+	0.0381848i
$825$	−15.2555	−	8.15423i	−0.531128	−	0.283894i
$826$	2.25093	+	1.06774i	0.0783197	+	0.0371513i
$827$	1.52993	+	4.27586i	0.0532007	+	0.148686i	0.965205	−	0.261495i	$-0.0842155\pi$
$827$	1.52993	+	4.27586i	0.0532007	+	0.148686i	−0.912004	+	0.410181i	$0.865465\pi$
$828$	−0.0682202	+	30.0645i	−0.00237081	+	1.04481i
$829$	−10.6343	+	17.7422i	−0.369344	+	0.616213i	−0.985152	−	0.171683i	$-0.945080\pi$
$829$	−10.6343	+	17.7422i	−0.369344	+	0.616213i	0.615808	+	0.787896i	$0.288830\pi$
$830$	23.8847	−	2.32508i	0.829051	−	0.0807048i
$831$	7.39213	+	7.39213i	0.256430	+	0.256430i
$832$	−26.8267	+	44.0744i	−0.930047	+	1.52800i
$833$	−11.2555	+	11.2555i	−0.389981	+	0.389981i
$834$	12.8163	−	15.5807i	0.443794	−	0.539515i
$835$	−5.19515	−	3.11385i	−0.179786	−	0.107759i
$836$	11.7910	−	4.85267i	0.407799	−	0.167833i
$837$	−84.6766	+	30.2978i	−2.92685	+	1.04724i
$838$	1.90446	+	5.34171i	0.0657885	+	0.184526i
$839$	17.0401	−	31.8798i	0.588290	−	1.10061i	−0.395019	−	0.918673i	$-0.629262\pi$
$839$	17.0401	−	31.8798i	0.588290	−	1.10061i	0.983309	−	0.181941i	$-0.0582380\pi$
$840$	0.0332048	−	9.75552i	0.00114567	−	0.336597i
$841$	8.34516	−	27.5103i	0.287764	−	0.948631i
$842$	−5.59553	−	11.8656i	−0.192835	−	0.408914i
$843$	−73.2638	−	54.3361i	−2.52334	−	1.87144i
$844$	−2.09227	+	3.47285i	−0.0720190	+	0.119540i
$845$	14.6400	+	30.9537i	0.503632	+	1.06484i
$846$	37.1377	+	89.9469i	1.27682	+	3.09244i
$847$	4.32864	+	6.47826i	0.148734	+	0.222596i
$848$	−8.35888	−	2.13415i	−0.287045	−	0.0732871i
$849$	17.9528	−	26.8682i	0.616138	−	0.922116i
$850$	−2.53735	+	12.6809i	−0.0870303	+	0.434951i
$851$	−0.663355	−	13.5029i	−0.0227395	−	0.462873i
$852$	−29.5378	−	32.7389i	−1.01195	−	1.12162i
$853$	37.9759	+	9.51246i	1.30027	+	0.325701i	0.830465	−	0.557070i	$-0.188075\pi$
$853$	37.9759	+	9.51246i	1.30027	+	0.325701i	0.469804	+	0.882771i	$0.344325\pi$
$854$	−3.31146	−	13.2840i	−0.113316	−	0.454570i
$855$	29.4333	+	24.1553i	1.00660	+	0.826094i
$856$	−29.4479	+	13.8054i	−1.00651	+	0.471858i
$857$	5.36384	+	0.528292i	0.183225	+	0.0180461i	0.189214	−	0.981936i	$-0.439406\pi$
$857$	5.36384	+	0.528292i	0.183225	+	0.0180461i	−0.00598838	+	0.999982i	$0.501906\pi$
$858$	−37.9724	+	22.7012i	−1.29636	+	0.775008i
$859$	−23.1810	−	1.13881i	−0.790925	−	0.0388556i	−0.350405	−	0.936598i	$-0.613956\pi$
$859$	−23.1810	−	1.13881i	−0.790925	−	0.0388556i	−0.440520	+	0.897743i	$0.645206\pi$
$860$	4.80273	+	15.9628i	0.163772	+	0.544327i
$861$	28.4426	+	4.21907i	0.969322	+	0.143785i
$862$	−33.8149	−	3.36922i	−1.15174	−	0.114756i
$863$	−10.0210	−	24.1929i	−0.341120	−	0.823536i	−0.997603	−	0.0691955i	$-0.977957\pi$
$863$	−10.0210	−	24.1929i	−0.341120	−	0.823536i	0.656483	−	0.754341i	$-0.272043\pi$
$864$	−3.55608	−	81.8583i	−0.120980	−	2.78488i
$865$	6.00835	−	14.5054i	0.204290	−	0.493200i
$866$	8.18895	−	15.2787i	0.278272	−	0.519192i
$867$	−27.1017	+	20.1000i	−0.920422	+	0.682632i
$868$	−8.52767	−	7.03092i	−0.289448	−	0.238645i
$869$	−8.80788	−	9.71800i	−0.298787	−	0.329661i
$870$	1.64076	−	2.20707i	0.0556269	−	0.0748266i
$871$	−77.4515	+	63.5628i	−2.62434	+	2.15374i
$872$	23.8040	−	21.4276i	0.806105	−	0.725629i
$873$	−1.62863	−	16.5357i	−0.0551206	−	0.559649i
$874$	1.78875	−	11.9652i	0.0605053	−	0.404729i
$875$	7.83015	−	4.69321i	0.264708	−	0.158660i
$876$	13.9299	+	10.3802i	0.470647	+	0.350714i
$877$	26.2898	−	29.0063i	0.887742	−	0.979473i	−0.112157	−	0.993691i	$-0.535776\pi$
$877$	26.2898	−	29.0063i	0.887742	−	0.979473i	0.999899	+	0.0142180i	$0.00452588\pi$
$878$	−23.5007	+	4.64687i	−0.793110	+	0.156824i
$879$	−11.2325	−	56.4697i	−0.378864	−	1.90468i
$880$	0.671105	+	7.14617i	0.0226229	+	0.240897i
$881$	−7.08167	+	35.6020i	−0.238588	+	1.19946i	0.656762	+	0.754098i	$0.271926\pi$
$881$	−7.08167	+	35.6020i	−0.238588	+	1.19946i	−0.895350	+	0.445363i	$0.853074\pi$
$882$	65.6268	+	0.0744576i	2.20977	+	0.00250712i
$883$	−7.24096	−	2.59086i	−0.243678	−	0.0871892i	0.212219	−	0.977222i	$-0.431931\pi$
$883$	−7.24096	−	2.59086i	−0.243678	−	0.0871892i	−0.455896	+	0.890033i	$0.650681\pi$
$884$	24.4566	+	22.2674i	0.822564	+	0.748935i
$885$	−1.12550	−	7.58748i	−0.0378331	−	0.255050i
$886$	18.7857	+	17.0652i	0.631118	+	0.573317i
$887$	17.1063	+	32.0036i	0.574373	+	1.07458i	0.986548	+	0.163471i	$0.0522691\pi$
$887$	17.1063	+	32.0036i	0.574373	+	1.07458i	−0.412175	+	0.911104i	$0.635231\pi$
$888$	5.82374	+	61.2665i	0.195432	+	2.05597i
$889$	−15.2652	+	4.63065i	−0.511978	+	0.155307i
$890$	−0.0860770	+	1.71249i	−0.00288531	+	0.0574028i
$891$	15.6684	−	33.1281i	0.524911	−	1.10983i
$892$	10.1309	−	50.3343i	0.339208	−	1.68532i
$893$	−9.51485	−	37.9854i	−0.318402	−	1.27113i
$894$	88.9436	+	27.0910i	2.97472	+	0.906058i
$895$		−	3.06568i		−	0.102474i
$896$	8.41659	−	5.52761i	0.281179	−	0.184664i
$897$			41.9774i			1.40158i
$898$	3.84553	−	12.6254i	0.128327	−	0.421316i
$899$	−0.757056	−	3.02234i	−0.0252492	−	0.100801i
$900$	44.3995	−	29.5213i	1.47998	−	0.984043i
$901$	−2.36446	+	4.99923i	−0.0787716	+	0.166549i
$902$	−21.1288	−	1.06202i	−0.703513	−	0.0353615i
$903$	19.1883	−	5.82072i	0.638548	−	0.193701i
$904$	1.41511	−	4.60846i	0.0470658	−	0.153275i
$905$	−6.69760	−	12.5303i	−0.222636	−	0.416522i
$906$	−27.4132	+	30.1769i	−0.910741	+	1.00256i
$907$	−5.72921	−	38.6232i	−0.190235	−	1.28246i	−0.848306	−	0.529506i	$-0.822377\pi$
$907$	−5.72921	−	38.6232i	−0.190235	−	1.28246i	0.658071	−	0.752956i	$-0.271373\pi$
$908$	12.8129	−	0.600316i	0.425211	−	0.0199222i
$909$	−20.1966	−	7.22645i	−0.669878	−	0.239686i
$910$	0.0110281	−	9.72015i	0.000365578	−	0.322220i
$911$	−0.661479	+	3.32548i	−0.0219158	+	0.110178i	−0.990195	−	0.139693i	$-0.955388\pi$
$911$	−0.661479	+	3.32548i	−0.0219158	+	0.110178i	0.968279	+	0.249871i	$0.0803883\pi$
$912$	−5.64686	+	54.7836i	−0.186986	+	1.81407i
$913$	4.14340	+	20.8303i	0.137127	+	0.689382i
$914$	−9.15403	−	46.2948i	−0.302788	−	1.53130i
$915$	−28.3072	+	31.2322i	−0.935809	+	1.03251i
$916$	−3.48607	−	23.8743i	−0.115183	−	0.788828i
$917$	16.4480	−	9.85854i	0.543160	−	0.325558i
$918$	−51.9459	−	7.76570i	−1.71447	−	0.256306i
$919$	0.571550	+	5.80305i	0.0188537	+	0.191425i	0.999998	−	0.00185032i	$-0.000588974\pi$
$919$	0.571550	+	5.80305i	0.0188537	+	0.191425i	−0.981145	+	0.193275i	$0.938089\pi$
$920$	6.14657	+	2.93275i	0.202647	+	0.0966901i
$921$	−33.7256	+	27.6779i	−1.11130	+	0.912018i
$922$	17.3376	+	12.8889i	0.570983	+	0.424475i
$923$	−29.5045	−	32.5532i	−0.971152	−	1.07150i
$924$	8.59420	−	0.826769i	0.282728	−	0.0271987i
$925$	−19.2574	+	14.2823i	−0.633179	+	0.469598i
$926$	−24.8967	−	13.3439i	−0.818156	−	0.438508i
$927$	2.00565	−	4.84206i	0.0658741	−	0.159034i
$928$	2.83436	+	0.155365i	0.0930424	+	0.00510012i
$929$	15.2042	+	36.7062i	0.498834	+	1.20429i	0.950112	+	0.311909i	$0.100968\pi$
$929$	15.2042	+	36.7062i	0.498834	+	1.20429i	−0.451278	+	0.892383i	$0.649032\pi$
$930$	−3.37384	+	33.8613i	−0.110633	+	1.11035i
$931$	−26.1228	−	3.87495i	−0.856140	−	0.126996i
$932$	−10.8413	+	20.1724i	−0.355118	+	0.660768i
$933$	49.7421	+	2.44367i	1.62848	+	0.0800022i
$934$	−15.5334	−	25.9827i	−0.508269	−	0.850181i
$935$	4.57892	+	0.450984i	0.149747	+	0.0147487i
$936$	−6.22747	−	136.222i	−0.203551	−	4.45257i
$937$	15.4119	+	12.6482i	0.503485	+	0.413200i	0.851552	−	0.524270i	$-0.175662\pi$
$937$	15.4119	+	12.6482i	0.503485	+	0.413200i	−0.348067	+	0.937470i	$0.613162\pi$
$938$	18.9730	−	4.72962i	0.619491	−	0.154428i
$939$	72.3469	+	18.1220i	2.36095	+	0.591388i
$940$	22.0146	+	1.13159i	0.718037	+	0.0369083i
$941$	0.781707	+	15.9120i	0.0254829	+	0.518717i	0.977275	+	0.211974i	$0.0679891\pi$
$941$	0.781707	+	15.9120i	0.0254829	+	0.518717i	−0.951792	+	0.306743i	$0.900761\pi$
$942$	16.0051	+	3.20250i	0.521475	+	0.104343i
$943$	−11.1520	+	16.6902i	−0.363160	+	0.543508i
$944$	5.89039	−	5.29024i	0.191716	−	0.172183i
$945$	8.57555	+	12.8342i	0.278963	+	0.417497i
$946$	−13.6364	+	5.63025i	−0.443356	+	0.183055i
$947$	−1.11102	−	2.34905i	−0.0361032	−	0.0763339i	0.885132	−	0.465341i	$-0.154068\pi$
$947$	−1.11102	−	2.34905i	−0.0361032	−	0.0763339i	−0.921235	+	0.389007i	$0.872818\pi$
$948$	54.9840	−	13.6403i	1.78580	−	0.443015i
$949$	13.9027	+	10.3110i	0.451302	+	0.334708i
$950$	−19.4060	+	9.15141i	−0.629612	+	0.296911i
$951$	−27.5952	+	90.9692i	−0.894836	+	2.94988i
$952$	−2.44984	−	5.97185i	−0.0793998	−	0.193549i
$953$	9.88778	−	18.4987i	0.320297	−	0.599233i	−0.669318	−	0.742976i	$-0.733414\pi$
$953$	9.88778	−	18.4987i	0.320297	−	0.599233i	0.989615	+	0.143743i	$0.0459138\pi$
$954$	21.4762	−	7.65683i	0.695317	−	0.247899i
$955$	2.51028	−	0.898191i	0.0812306	−	0.0290648i
$956$	−5.79633	+	13.9043i	−0.187467	+	0.449696i
$957$	2.08765	+	1.25129i	0.0674840	+	0.0404484i
$958$	20.2716	+	16.6750i	0.654946	+	0.538745i
$959$	−7.80971	+	7.80971i	−0.252189	+	0.252189i
$960$	−28.5612	−	12.0589i	−0.921809	−	0.389198i
$961$	5.34034	+	5.34034i	0.172269	+	0.172269i
$962$	5.94109	+	61.0307i	0.191549	+	1.96771i
$963$	44.1901	−	73.7267i	1.42400	−	2.37581i
$964$	0.167794	−	0.167034i	0.00540428	−	0.00537981i
$965$	5.06575	+	14.1578i	0.163072	+	0.455757i
$966$	3.51100	−	7.40164i	0.112964	−	0.238144i
$967$	10.3956	+	5.55654i	0.334299	+	0.178686i	0.630002	−	0.776593i	$-0.283054\pi$
$967$	10.3956	+	5.55654i	0.334299	+	0.178686i	−0.295703	+	0.955280i	$0.595554\pi$
$968$	24.3009	−	4.74782i	0.781061	−	0.152601i
$969$	33.7839	+	10.2482i	1.08529	+	0.329220i
$970$	−3.54242	−	1.27203i	−0.113740	−	0.0408425i
$971$	24.6612	−	33.2517i	0.791414	−	1.06710i	−0.204682	−	0.978828i	$-0.565616\pi$
$971$	24.6612	−	33.2517i	0.791414	−	1.06710i	0.996097	−	0.0882703i	$-0.0281339\pi$
$972$	42.3927	+	57.4319i	1.35975	+	1.84213i
$973$	−3.54628	+	1.67726i	−0.113688	+	0.0537706i
$974$	15.5029	−	37.3076i	0.496746	−	1.19541i
$975$	61.8986	−	41.3593i	1.98234	−	1.32456i
$976$	−43.0073	−	6.57915i	−1.37663	−	0.210593i
$977$	1.92148	+	1.28389i	0.0614735	+	0.0410753i	0.585927	−	0.810364i	$-0.300730\pi$
$977$	1.92148	+	1.28389i	0.0614735	+	0.0410753i	−0.524454	+	0.851439i	$0.675730\pi$
$978$	−23.7415	−	35.6191i	−0.759170	−	1.13897i
$979$	−1.51567	+	0.0744603i	−0.0484411	+	0.00237976i
$980$	6.38657	−	13.4244i	0.204011	−	0.428826i
$981$	−20.5672	+	82.1090i	−0.656661	+	2.62154i
$982$	0.893508	−	1.48690i	0.0285130	−	0.0474489i
$983$	6.18183	−	7.53258i	0.197170	−	0.240252i	−0.665035	−	0.746812i	$-0.731583\pi$
$983$	6.18183	−	7.53258i	0.197170	−	0.240252i	0.862204	+	0.506560i	$0.169083\pi$
$984$	47.2441	−	78.2170i	1.50609	−	2.49347i
$985$	−0.929809	+	9.44051i	−0.0296262	+	0.300800i
$986$	0.444139	−	1.76460i	0.0141443	−	0.0561965i
$987$	1.30108	−	26.4842i	0.0414139	−	0.843000i
$988$	−5.50248	+	54.5973i	−0.175057	+	1.73697i
$989$	−2.05396	+	13.8467i	−0.0653121	+	0.440298i
$990$	−12.0176	−	14.6774i	−0.381944	−	0.466478i
$991$	−29.7136	+	12.3078i	−0.943884	+	0.390970i	−0.800929	−	0.598760i	$-0.795660\pi$
$991$	−29.7136	+	12.3078i	−0.943884	+	0.390970i	−0.142955	+	0.989729i	$0.545660\pi$
$992$	−31.0698	+	16.3812i	−0.986467	+	0.520104i
$993$	−12.9549	−	5.36608i	−0.411110	−	0.170287i
$994$	2.47961	+	8.20769i	0.0786485	+	0.260332i
$995$	−2.10881	−	2.84340i	−0.0668538	−	0.0901419i
$996$	−87.7251	−	26.8287i	−2.77968	−	0.850099i
$997$	−35.7287	+	32.3826i	−1.13154	+	1.02557i	−0.132130	+	0.991232i	$0.542182\pi$
$997$	−35.7287	+	32.3826i	−1.13154	+	1.02557i	−0.999410	+	0.0343358i	$0.989068\pi$
$998$	8.77559	−	1.29156i	0.277786	−	0.0408837i
$999$	−61.7739	−	75.2717i	−1.95444	−	2.38149i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	256.2.m.a.101.21	✓	992
256.109	even	64	inner	256.2.m.a.109.21	yes	992

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
256.2.m.a.101.21	✓	992	1.1	even	1	trivial
256.2.m.a.109.21	yes	992	256.109	even	64	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:	\( N \)	\(=\)	\( 256 = 2^{8} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	256.m (of order \(64\), degree \(32\), minimal)

\(f(q)\)	\(=\)	\(q+(0.665240 + 1.24798i) q^{2} +(3.13955 - 0.786417i) q^{3} +(-1.11491 + 1.66041i) q^{4} +(-1.08240 - 0.511939i) q^{5} +(3.06999 + 3.39494i) q^{6} +(-0.258359 - 0.851697i) q^{7} +(-2.81385 - 0.286813i) q^{8} +(6.59256 - 3.52380i) q^{9} +O(q^{10})\)	\(q+(0.665240 + 1.24798i) q^{2} +(3.13955 - 0.786417i) q^{3} +(-1.11491 + 1.66041i) q^{4} +(-1.08240 - 0.511939i) q^{5} +(3.06999 + 3.39494i) q^{6} +(-0.258359 - 0.851697i) q^{7} +(-2.81385 - 0.286813i) q^{8} +(6.59256 - 3.52380i) q^{9} +(-0.0811687 - 1.69138i) q^{10} +(1.48241 - 0.219894i) q^{11} +(-2.19454 + 6.08974i) q^{12} +(-2.17280 + 6.07257i) q^{13} +(0.891030 - 0.889010i) q^{14} +(-3.80086 - 0.756038i) q^{15} +(-1.51395 - 3.70243i) q^{16} +(-2.51486 + 0.500236i) q^{17} +(8.78327 + 5.88322i) q^{18} +(-3.15205 - 2.85685i) q^{19} +(2.05681 - 1.22647i) q^{20} +(-1.48092 - 2.47077i) q^{21} +(1.26058 + 1.70373i) q^{22} +(2.00127 - 0.197107i) q^{23} +(-9.05977 + 1.31239i) q^{24} +(-2.26245 - 2.75680i) q^{25} +(-9.02389 + 1.32811i) q^{26} +(10.7321 - 9.72705i) q^{27} +(1.70222 + 0.520583i) q^{28} +(0.298922 + 0.403050i) q^{29} +(-1.58496 - 5.24634i) q^{30} +(-5.73642 - 2.37610i) q^{31} +(3.61342 - 4.35238i) q^{32} +(4.48117 - 1.85616i) q^{33} +(-2.29727 - 2.80571i) q^{34} +(-0.156367 + 1.05414i) q^{35} +(-1.49916 + 14.8751i) q^{36} +(0.329871 - 6.71469i) q^{37} +(1.46843 - 5.83419i) q^{38} +(-2.04605 + 20.7739i) q^{39} +(2.89889 + 1.75097i) q^{40} +(-6.33246 + 7.71613i) q^{41} +(2.09830 - 3.49181i) q^{42} +(-1.69138 + 6.75237i) q^{43} +(-1.28764 + 2.70657i) q^{44} +(-8.93978 + 0.439183i) q^{45} +(1.57731 + 2.36642i) q^{46} +(7.65374 + 5.11407i) q^{47} +(-7.66476 - 10.4334i) q^{48} +(5.16165 - 3.44890i) q^{49} +(1.93536 - 4.65743i) q^{50} +(-7.50212 + 3.54824i) q^{51} +(-7.66050 - 10.3781i) q^{52} +(1.28478 - 1.73232i) q^{53} +(19.2786 + 6.92269i) q^{54} +(-1.71714 - 0.520888i) q^{55} +(0.482706 + 2.47065i) q^{56} +(-12.1427 - 6.49041i) q^{57} +(-0.304144 + 0.641174i) q^{58} +(0.666813 + 1.86362i) q^{59} +(5.49295 - 5.46808i) q^{60} +(5.59185 - 9.32944i) q^{61} +(-0.850767 - 8.73962i) q^{62} +(-4.70446 - 4.70446i) q^{63} +(7.83548 + 1.61410i) q^{64} +(5.46063 - 5.46063i) q^{65} +(5.29750 + 4.35762i) q^{66} +(13.3248 + 7.98660i) q^{67} +(1.97324 - 4.73342i) q^{68} +(6.12807 - 2.19266i) q^{69} +(-1.41957 + 0.506115i) q^{70} +(-3.21113 + 6.00761i) q^{71} +(-19.5611 + 8.02460i) q^{72} +(0.779048 - 2.56818i) q^{73} +(8.59924 - 4.05521i) q^{74} +(-9.27107 - 6.87590i) q^{75} +(8.25781 - 2.04857i) q^{76} +(-0.570277 - 1.20575i) q^{77} +(-27.2865 + 11.2662i) q^{78} +(-4.86220 - 7.27679i) q^{79} +(-0.256714 + 4.78257i) q^{80} +(13.5856 - 20.3322i) q^{81} +(-13.8422 - 2.76971i) q^{82} +(0.695381 + 14.1548i) q^{83} +(5.75359 + 0.295744i) q^{84} +(2.97818 + 0.745995i) q^{85} +(-9.55200 + 2.38114i) q^{86} +(1.25545 + 1.03032i) q^{87} +(-4.23434 + 0.193575i) q^{88} +(-1.00772 - 0.0992515i) q^{89} +(-6.49520 - 10.8645i) q^{90} +(5.73336 + 0.281662i) q^{91} +(-1.90395 + 3.54269i) q^{92} +(-19.8784 - 2.94868i) q^{93} +(-1.29068 + 12.9538i) q^{94} +(1.94926 + 4.70592i) q^{95} +(7.92173 - 16.5062i) q^{96} +(0.850618 - 2.05357i) q^{97} +(7.73790 + 4.14729i) q^{98} +(8.99801 - 6.67338i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{24} - 32 q^{25} - 32 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{39} - 32 q^{40} - 32 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{45} - 32 q^{46} - 32 q^{47} - 32 q^{48} - 32 q^{49} - 32 q^{50} - 32 q^{51} - 32 q^{52} - 32 q^{53} - 32 q^{54} - 32 q^{55} - 32 q^{56} - 32 q^{57} - 32 q^{58} - 32 q^{59} - 32 q^{60} - 32 q^{61} - 32 q^{62} - 32 q^{63} - 32 q^{64} - 32 q^{65} - 32 q^{66} - 32 q^{67} - 32 q^{68} - 32 q^{69} - 32 q^{70} - 32 q^{71} - 32 q^{72} - 32 q^{73} - 32 q^{74} - 32 q^{75} - 32 q^{76} - 32 q^{77} - 32 q^{78} - 32 q^{79} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{89} - 32 q^{90} - 32 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{94} - 32 q^{95} - 32 q^{96} - 32 q^{97} - 32 q^{98} - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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