LMFDB - Embedded newform 256.2.m.a.101.7

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			101.7
Character	$\chi$	$=$	256.101
Dual form			256.2.m.a.109.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.25274 - 0.656233i) q^{2} +(2.52802 - 0.633235i) q^{3} +(1.13872 + 1.64418i) q^{4} +(2.68726 + 1.27098i) q^{5} +(-3.58250 - 0.865690i) q^{6} +(-0.994929 - 3.27984i) q^{7} +(-0.347549 - 2.80699i) q^{8} +(3.34412 - 1.78747i) q^{9} +O(q^{10})$	\(q+(-1.25274 - 0.656233i) q^{2} +(2.52802 - 0.633235i) q^{3} +(1.13872 + 1.64418i) q^{4} +(2.68726 + 1.27098i) q^{5} +(-3.58250 - 0.865690i) q^{6} +(-0.994929 - 3.27984i) q^{7} +(-0.347549 - 2.80699i) q^{8} +(3.34412 - 1.78747i) q^{9} +(-2.53238 - 3.35568i) q^{10} +(-2.32638 + 0.345086i) q^{11} +(3.91985 + 3.43544i) q^{12} +(-1.83090 + 5.11701i) q^{13} +(-0.905953 + 4.76169i) q^{14} +(7.59827 + 1.51139i) q^{15} +(-1.40665 + 3.74451i) q^{16} +(4.84908 - 0.964541i) q^{17} +(-5.36231 + 0.0447117i) q^{18} +(-0.606878 - 0.550042i) q^{19} +(0.970307 + 5.86562i) q^{20} +(-4.59211 - 7.66147i) q^{21} +(3.14081 + 1.09435i) q^{22} +(-6.50026 + 0.640220i) q^{23} +(-2.65610 - 6.87604i) q^{24} +(2.43401 + 2.96585i) q^{25} +(5.65159 - 5.20879i) q^{26} +(1.52908 - 1.38588i) q^{27} +(4.25971 - 5.37065i) q^{28} +(-5.25953 - 7.09165i) q^{29} +(-8.52683 - 6.87961i) q^{30} +(3.83088 + 1.58680i) q^{31} +(4.21944 - 3.76780i) q^{32} +(-5.66262 + 2.34553i) q^{33} +(-6.70760 - 1.97381i) q^{34} +(1.49498 - 10.0783i) q^{35} +(6.74692 + 3.46291i) q^{36} +(-0.468192 + 9.53027i) q^{37} +(0.399304 + 1.08731i) q^{38} +(-1.38826 + 14.0953i) q^{39} +(2.63367 - 7.98485i) q^{40} +(5.46837 - 6.66323i) q^{41} +(0.725007 + 12.6113i) q^{42} +(0.150551 - 0.601033i) q^{43} +(-3.21647 - 3.43204i) q^{44} +(11.2583 - 0.553087i) q^{45} +(8.56327 + 3.46366i) q^{46} +(-0.817360 - 0.546143i) q^{47} +(-1.18489 + 10.3569i) q^{48} +(-3.94718 + 2.63742i) q^{49} +(-1.10289 - 5.31271i) q^{50} +(11.6478 - 5.50898i) q^{51} +(-10.4982 + 2.81650i) q^{52} +(-4.03178 + 5.43623i) q^{53} +(-2.82500 + 0.732711i) q^{54} +(-6.69019 - 2.02945i) q^{55} +(-8.86070 + 3.93266i) q^{56} +(-1.88250 - 1.00622i) q^{57} +(1.93504 + 12.3355i) q^{58} +(-1.66575 - 4.65545i) q^{59} +(6.16727 + 14.2140i) q^{60} +(-4.79562 + 8.00102i) q^{61} +(-3.75779 - 4.50181i) q^{62} +(-9.18977 - 9.18977i) q^{63} +(-7.75842 + 1.95114i) q^{64} +(-11.4237 + 11.4237i) q^{65} +(8.63300 + 0.777655i) q^{66} +(2.67231 + 1.60172i) q^{67} +(7.10760 + 6.87441i) q^{68} +(-16.0274 + 5.73468i) q^{69} +(-8.48654 + 11.6445i) q^{70} +(5.49810 - 10.2862i) q^{71} +(-6.17966 - 8.76568i) q^{72} +(-0.366227 + 1.20729i) q^{73} +(6.84061 - 11.6317i) q^{74} +(8.03129 + 5.95641i) q^{75} +(0.213306 - 1.62416i) q^{76} +(3.44641 + 7.28683i) q^{77} +(10.9889 - 16.7467i) q^{78} +(-1.87055 - 2.79948i) q^{79} +(-8.53923 + 8.27463i) q^{80} +(-3.33197 + 4.98665i) q^{81} +(-11.2231 + 4.75877i) q^{82} +(0.420840 + 8.56639i) q^{83} +(7.36772 - 16.2745i) q^{84} +(14.2566 + 3.57110i) q^{85} +(-0.583019 + 0.654141i) q^{86} +(-17.7869 - 14.5973i) q^{87} +(1.77719 + 6.41021i) q^{88} +(3.56987 + 0.351601i) q^{89} +(-14.4667 - 6.69523i) q^{90} +(18.6046 + 0.913985i) q^{91} +(-8.45458 - 9.95857i) q^{92} +(10.6894 + 1.58562i) q^{93} +(0.665543 + 1.22055i) q^{94} +(-0.931746 - 2.24943i) q^{95} +(8.28091 - 12.1970i) q^{96} +(4.65121 - 11.2290i) q^{97} +(6.67556 - 0.713733i) q^{98} +(-7.16287 + 5.31235i) 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 $

$2$	−1.25274	−	0.656233i	−0.885821	−	0.464027i
$2$	−1.25274	−	0.656233i	−0.885821	−	0.464027i
$3$	2.52802	−	0.633235i	1.45955	−	0.365599i	0.569701	−	0.821852i	$-0.307059\pi$
$3$	2.52802	−	0.633235i	1.45955	−	0.365599i	0.889850	+	0.456253i	$0.150809\pi$
$4$	1.13872	+	1.64418i	0.569358	+	0.822090i
$5$	2.68726	+	1.27098i	1.20178	+	0.568399i	0.920317	−	0.391173i	$-0.127931\pi$
$5$	2.68726	+	1.27098i	1.20178	+	0.568399i	0.281462	+	0.959572i	$0.409181\pi$
$6$	−3.58250	−	0.865690i	−1.46255	−	0.353416i
$7$	−0.994929	−	3.27984i	−0.376048	−	1.23966i	−0.917094	−	0.398670i	$-0.869472\pi$
$7$	−0.994929	−	3.27984i	−0.376048	−	1.23966i	0.541047	−	0.840993i	$-0.318028\pi$
$8$	−0.347549	−	2.80699i	−0.122877	−	0.992422i
$9$	3.34412	−	1.78747i	1.11471	−	0.595823i
$10$	−2.53238	−	3.35568i	−0.800809	−	1.06116i
$11$	−2.32638	+	0.345086i	−0.701431	+	0.104047i	−0.487914	−	0.872892i	$-0.662242\pi$
$11$	−2.32638	+	0.345086i	−0.701431	+	0.104047i	−0.213517	+	0.976939i	$0.568492\pi$
$12$	3.91985	+	3.43544i	1.13156	+	0.991726i
$13$	−1.83090	+	5.11701i	−0.507799	+	1.41920i	0.364946	+	0.931029i	$0.381087\pi$
$13$	−1.83090	+	5.11701i	−0.507799	+	1.41920i	−0.872746	+	0.488175i	$0.837663\pi$
$14$	−0.905953	+	4.76169i	−0.242126	+	1.27262i
$15$	7.59827	+	1.51139i	1.96186	+	0.390239i
$16$	−1.40665	+	3.74451i	−0.351663	+	0.936127i
$17$	4.84908	−	0.964541i	1.17607	−	0.233936i	0.431900	−	0.901922i	$-0.357843\pi$
$17$	4.84908	−	0.964541i	1.17607	−	0.233936i	0.744174	+	0.667986i	$0.232843\pi$
$18$	−5.36231	+	0.0447117i	−1.26391	+	0.0105387i
$19$	−0.606878	−	0.550042i	−0.139227	−	0.126188i	0.598975	−	0.800768i	$-0.295575\pi$
$19$	−0.606878	−	0.550042i	−0.139227	−	0.126188i	−0.738202	+	0.674580i	$0.764325\pi$
$20$	0.970307	+	5.86562i	0.216967	+	1.31159i
$21$	−4.59211	−	7.66147i	−1.00208	−	1.67187i
$22$	3.14081	+	1.09435i	0.669623	+	0.233315i
$23$	−6.50026	+	0.640220i	−1.35540	+	0.133495i	−0.749477	−	0.662030i	$-0.769695\pi$
$23$	−6.50026	+	0.640220i	−1.35540	+	0.133495i	−0.605921	+	0.795525i	$0.707195\pi$
$24$	−2.65610	−	6.87604i	−0.542174	−	1.40357i
$25$	2.43401	+	2.96585i	0.486802	+	0.593170i
$26$	5.65159	−	5.20879i	1.10837	−	1.02153i
$27$	1.52908	−	1.38588i	0.294272	−	0.266712i
$28$	4.25971	−	5.37065i	0.805009	−	1.01496i
$29$	−5.25953	−	7.09165i	−0.976670	−	1.31689i	−0.948329	−	0.317288i	$-0.897228\pi$
$29$	−5.25953	−	7.09165i	−0.976670	−	1.31689i	−0.0283405	−	0.999598i	$-0.509022\pi$
$30$	−8.52683	−	6.87961i	−1.55678	−	1.25604i
$31$	3.83088	+	1.58680i	0.688047	+	0.284998i	0.699186	−	0.714940i	$-0.253546\pi$
$31$	3.83088	+	1.58680i	0.688047	+	0.284998i	−0.0111392	+	0.999938i	$0.503546\pi$
$32$	4.21944	−	3.76780i	0.745899	−	0.666059i
$33$	−5.66262	+	2.34553i	−0.985735	+	0.408305i
$34$	−6.70760	−	1.97381i	−1.15034	−	0.338505i
$35$	1.49498	−	10.0783i	0.252697	−	1.70355i
$36$	6.74692	+	3.46291i	1.12449	+	0.577152i
$37$	−0.468192	+	9.53027i	−0.0769703	+	1.56677i	0.581114	+	0.813822i	$0.302617\pi$
$37$	−0.468192	+	9.53027i	−0.0769703	+	1.56677i	−0.658084	+	0.752945i	$0.728633\pi$
$38$	0.399304	+	1.08731i	0.0647757	+	0.176385i
$39$	−1.38826	+	14.0953i	−0.222300	+	2.25705i
$40$	2.63367	−	7.98485i	0.416420	−	1.26251i
$41$	5.46837	−	6.66323i	0.854016	−	1.04062i	−0.144675	−	0.989479i	$-0.546214\pi$
$41$	5.46837	−	6.66323i	0.854016	−	1.04062i	0.998691	−	0.0511425i	$-0.0162863\pi$
$42$	0.725007	+	12.6113i	0.111871	+	1.94597i
$43$	0.150551	−	0.601033i	0.0229588	−	0.0916567i	−0.957469	−	0.288537i	$-0.906831\pi$
$43$	0.150551	−	0.601033i	0.0229588	−	0.0916567i	0.980427	+	0.196881i	$0.0630811\pi$
$44$	−3.21647	−	3.43204i	−0.484902	−	0.517399i
$45$	11.2583	−	0.553087i	1.67830	−	0.0824494i
$46$	8.56327	+	3.46366i	1.26259	+	0.510689i
$47$	−0.817360	−	0.546143i	−0.119224	−	0.0796631i	0.494528	−	0.869161i	$-0.335341\pi$
$47$	−0.817360	−	0.546143i	−0.119224	−	0.0796631i	−0.613753	+	0.789498i	$0.710341\pi$
$48$	−1.18489	+	10.3569i	−0.171024	+	1.49489i
$49$	−3.94718	+	2.63742i	−0.563883	+	0.376775i
$50$	−1.10289	−	5.31271i	−0.155972	−	0.751331i
$51$	11.6478	−	5.50898i	1.63101	−	0.771412i
$52$	−10.4982	+	2.81650i	−1.45583	+	0.390578i
$53$	−4.03178	+	5.43623i	−0.553808	+	0.746723i	−0.988060	−	0.154068i	$-0.950763\pi$
$53$	−4.03178	+	5.43623i	−0.553808	+	0.746723i	0.434253	+	0.900791i	$0.357013\pi$
$54$	−2.82500	+	0.732711i	−0.384434	+	0.0997093i
$55$	−6.69019	−	2.02945i	−0.902105	−	0.273651i
$56$	−8.86070	+	3.93266i	−1.18406	+	0.525524i
$57$	−1.88250	−	1.00622i	−0.249344	−	0.133277i
$58$	1.93504	+	12.3355i	0.254084	+	1.61973i
$59$	−1.66575	−	4.65545i	−0.216862	−	0.606089i	0.783011	−	0.622007i	$-0.213683\pi$
$59$	−1.66575	−	4.65545i	−0.216862	−	0.606089i	−0.999873	+	0.0159189i	$0.994933\pi$
$60$	6.16727	+	14.2140i	0.796191	+	1.83501i
$61$	−4.79562	+	8.00102i	−0.614017	+	1.02443i	0.380986	+	0.924581i	$0.375585\pi$
$61$	−4.79562	+	8.00102i	−0.614017	+	1.02443i	−0.995003	+	0.0998444i	$0.968165\pi$
$62$	−3.75779	−	4.50181i	−0.477240	−	0.571730i
$63$	−9.18977	−	9.18977i	−1.15780	−	1.15780i
$64$	−7.75842	+	1.95114i	−0.969802	+	0.243892i
$65$	−11.4237	+	11.4237i	−1.41694	+	1.41694i
$66$	8.63300	+	0.777655i	1.06265	+	0.0957227i
$67$	2.67231	+	1.60172i	0.326474	+	0.195681i	0.667944	−	0.744212i	$-0.267175\pi$
$67$	2.67231	+	1.60172i	0.326474	+	0.195681i	−0.341470	+	0.939893i	$0.610925\pi$
$68$	7.10760	+	6.87441i	0.861923	+	0.833645i
$69$	−16.0274	+	5.73468i	−1.92947	+	0.690374i
$70$	−8.48654	+	11.6445i	−1.01434	+	1.39178i
$71$	5.49810	−	10.2862i	0.652504	−	1.22075i	−0.310323	−	0.950631i	$-0.600437\pi$
$71$	5.49810	−	10.2862i	0.652504	−	1.22075i	0.962827	−	0.270118i	$-0.0870628\pi$
$72$	−6.17966	−	8.76568i	−0.728280	−	1.03305i
$73$	−0.366227	+	1.20729i	−0.0428636	+	0.141302i	−0.975760	−	0.218841i	$-0.929772\pi$
$73$	−0.366227	+	1.20729i	−0.0428636	+	0.141302i	0.932897	+	0.360144i	$0.117272\pi$
$74$	6.84061	−	11.6317i	0.795204	−	1.35216i
$75$	8.03129	+	5.95641i	0.927374	+	0.687787i
$76$	0.213306	−	1.62416i	0.0244679	−	0.186304i
$77$	3.44641	+	7.28683i	0.392755	+	0.830411i
$78$	10.9889	−	16.7467i	1.24425	−	1.89619i
$79$	−1.87055	−	2.79948i	−0.210454	−	0.314966i	0.711193	−	0.702997i	$-0.248155\pi$
$79$	−1.87055	−	2.79948i	−0.210454	−	0.314966i	−0.921646	+	0.388031i	$0.873155\pi$
$80$	−8.53923	+	8.27463i	−0.954715	+	0.925132i
$81$	−3.33197	+	4.98665i	−0.370219	+	0.554072i
$82$	−11.2231	+	4.75877i	−1.23938	+	0.525518i
$83$	0.420840	+	8.56639i	0.0461932	+	0.940283i	0.904323	+	0.426850i	$0.140377\pi$
$83$	0.420840	+	8.56639i	0.0461932	+	0.940283i	−0.858129	+	0.513434i	$0.828373\pi$
$84$	7.36772	−	16.2745i	0.803885	−	1.77569i
$85$	14.2566	+	3.57110i	1.54635	+	0.387340i
$86$	−0.583019	+	0.654141i	−0.0628685	+	0.0705379i
$87$	−17.7869	−	14.5973i	−1.90695	−	1.56499i
$88$	1.77719	+	6.41021i	0.189449	+	0.683330i
$89$	3.56987	+	0.351601i	0.378405	+	0.0372696i	0.285432	−	0.958399i	$-0.407863\pi$
$89$	3.56987	+	0.351601i	0.378405	+	0.0372696i	0.0929731	+	0.995669i	$0.470363\pi$
$90$	−14.4667	−	6.69523i	−1.52493	−	0.705739i
$91$	18.6046	+	0.913985i	1.95029	+	0.0958117i
$92$	−8.45458	−	9.95857i	−0.881451	−	1.03825i
$93$	10.6894	+	1.58562i	1.10843	+	0.164421i
$94$	0.665543	+	1.22055i	0.0686455	+	0.125891i
$95$	−0.931746	−	2.24943i	−0.0955951	−	0.230787i
$96$	8.28091	−	12.1970i	0.845167	−	1.24485i
$97$	4.65121	−	11.2290i	0.472259	−	1.14013i	−0.490904	−	0.871214i	$-0.663333\pi$
$97$	4.65121	−	11.2290i	0.472259	−	1.14013i	0.963163	−	0.268920i	$-0.0866666\pi$
$98$	6.67556	−	0.713733i	0.674333	−	0.0720979i
$99$	−7.16287	+	5.31235i	−0.719896	+	0.533911i
$100$	−2.10474	+	7.37920i	−0.210474	+	0.737920i
$101$	−2.81247	−	3.10308i	−0.279851	−	0.308768i	0.584764	−	0.811204i	$-0.301187\pi$
$101$	−2.81247	−	3.10308i	−0.279851	−	0.308768i	−0.864614	+	0.502436i	$0.832437\pi$
$102$	−18.2068	−	0.742328i	−1.80274	−	0.0735014i
$103$	−1.24304	+	1.02014i	−0.122480	+	0.100517i	−0.693640	−	0.720322i	$-0.743994\pi$
$103$	−1.24304	+	1.02014i	−0.122480	+	0.100517i	0.571159	+	0.820839i	$0.306494\pi$
$104$	14.9997	+	3.36090i	1.47085	+	0.329563i
$105$	−2.60262	−	26.4248i	−0.253989	−	2.57880i
$106$	8.61821	−	4.16439i	0.837074	−	0.404481i
$107$	−3.10747	+	1.86254i	−0.300410	+	0.180059i	−0.656364	−	0.754445i	$-0.727906\pi$
$107$	−3.10747	+	1.86254i	−0.300410	+	0.180059i	0.355953	+	0.934504i	$0.384156\pi$
$108$	4.01982	+	0.935962i	0.386807	+	0.0900630i
$109$	−4.13181	+	4.55875i	−0.395756	+	0.436649i	−0.905934	−	0.423420i	$-0.860830\pi$
$109$	−4.13181	+	4.55875i	−0.395756	+	0.436649i	0.510178	+	0.860069i	$0.329580\pi$
$110$	7.04928	+	6.93270i	0.672123	+	0.661007i
$111$	4.85131	+	24.3892i	0.460466	+	2.31492i
$112$	13.6809	+	0.888081i	1.29272	+	0.0839157i
$113$	−2.28133	+	11.4690i	−0.214610	+	1.07892i	0.711795	+	0.702388i	$0.247883\pi$
$113$	−2.28133	+	11.4690i	−0.214610	+	1.07892i	−0.926405	+	0.376529i	$0.877117\pi$
$114$	1.69797	+	2.49589i	0.159030	+	0.233762i
$115$	−18.2816	−	6.54126i	−1.70477	−	0.609975i
$116$	5.67084	−	16.7230i	0.526524	−	1.55269i
$117$	3.02376	+	20.3846i	0.279547	+	1.88455i
$118$	−0.968315	+	6.92519i	−0.0891406	+	0.637516i
$119$	−7.98803	−	14.9445i	−0.732261	−	1.36996i
$120$	1.60168	−	21.8536i	0.146213	−	1.99495i
$121$	−5.23337	+	1.58753i	−0.475761	+	0.144320i
$122$	11.2582	−	6.87615i	1.01927	−	0.622537i
$123$	9.60474	−	20.3075i	0.866031	−	1.83107i
$124$	1.75330	+	8.10558i	0.157451	+	0.727903i
$125$	−0.840215	−	3.35432i	−0.0751511	−	0.300020i
$126$	5.48176	+	17.5430i	0.488354	+	1.56286i
$127$			18.6647i			1.65623i	0.560560	+	0.828114i	$0.310586\pi$
$127$			18.6647i			1.65623i	−0.560560	+	0.828114i	$0.689414\pi$
$128$	10.9997	+	2.64706i	0.972244	+	0.233970i
$129$		−	1.61476i		−	0.142171i
$130$	21.8076	−	6.81432i	1.91265	−	0.597655i
$131$	1.42854	+	5.70306i	0.124812	+	0.498278i	0.999898	+	0.0143098i	$0.00455512\pi$
$131$	1.42854	+	5.70306i	0.124812	+	0.498278i	−0.875085	+	0.483969i	$0.839195\pi$
$132$	−10.3046	−	6.63946i	−0.896899	−	0.577891i
$133$	−1.20025	+	2.53771i	−0.104075	+	0.220048i
$134$	−2.29660	−	3.76019i	−0.198396	−	0.324831i
$135$	5.87045	−	1.78078i	0.505248	−	0.153265i
$136$	−4.39275	−	13.2761i	−0.376676	−	1.13842i
$137$	−7.23764	−	13.5407i	−0.618354	−	1.15686i	−0.974913	−	0.222586i	$-0.928550\pi$
$137$	−7.23764	−	13.5407i	−0.618354	−	1.15686i	0.356560	−	0.934273i	$-0.383950\pi$
$138$	23.8414	+	3.33362i	2.02951	+	0.283777i
$139$	−0.608889	−	4.10479i	−0.0516453	−	0.348164i	−0.999561	−	0.0296417i	$-0.990563\pi$
$139$	−0.608889	−	4.10479i	−0.0516453	−	0.348164i	0.947915	−	0.318522i	$-0.103187\pi$
$140$	18.2729	−	9.01833i	1.54434	−	0.762188i
$141$	−2.41214	−	0.863077i	−0.203139	−	0.0726842i
$142$	−13.6378	+	9.27792i	−1.14446	+	0.778586i
$143$	2.49356	−	12.5359i	0.208522	−	1.04831i
$144$	1.98917	+	15.0364i	0.165764	+	1.25304i
$145$	−5.12037	−	25.7419i	−0.425224	−	2.13774i
$146$	1.25105	−	1.27209i	0.103538	−	0.105279i
$147$	−8.30843	+	9.16694i	−0.685268	+	0.756077i
$148$	−16.2026	+	10.0825i	−1.33185	+	0.828775i
$149$	12.6958	−	7.60957i	1.04008	−	0.623400i	0.111207	−	0.993797i	$-0.464528\pi$
$149$	12.6958	−	7.60957i	1.04008	−	0.623400i	0.928873	+	0.370397i	$0.120778\pi$
$150$	−6.15233	−	12.7322i	−0.502335	−	1.03958i
$151$	−0.895057	−	9.08767i	−0.0728387	−	0.739544i	−0.960357	−	0.278772i	$-0.910073\pi$
$151$	−0.895057	−	9.08767i	−0.0728387	−	0.739544i	0.887519	−	0.460772i	$-0.152427\pi$
$152$	−1.33304	+	1.89467i	−0.108124	+	0.153678i
$153$	14.4918	−	11.8931i	1.17159	−	0.961501i
$154$	0.464399	−	11.3902i	0.0374224	−	0.917845i
$155$	8.27778	+	9.13313i	0.664888	+	0.733590i
$156$	−24.7560	+	13.7680i	−1.98207	+	1.10232i
$157$	11.3966	−	8.45229i	0.909547	−	0.674566i	−0.0362437	−	0.999343i	$-0.511539\pi$
$157$	11.3966	−	8.45229i	0.909547	−	0.674566i	0.945791	+	0.324777i	$0.105289\pi$
$158$	0.506205	+	4.73454i	0.0402715	+	0.376660i
$159$	−6.75000	+	16.2959i	−0.535310	+	1.29235i
$160$	16.1275	−	4.76224i	1.27499	−	0.376488i
$161$	8.56711	+	20.6828i	0.675183	+	1.63004i
$162$	7.44650	−	4.06043i	0.585053	−	0.319017i
$163$	9.60634	+	1.42497i	0.752426	+	0.111612i	0.511917	−	0.859035i	$-0.328936\pi$
$163$	9.60634	+	1.42497i	0.752426	+	0.111612i	0.240509	+	0.970647i	$0.422686\pi$
$164$	17.1825	+	1.40346i	1.34173	+	0.109592i
$165$	−18.1980	−	0.894012i	−1.41672	−	0.0695988i
$166$	5.09435	−	11.0076i	0.395398	−	0.854358i
$167$	12.2508	+	1.20660i	0.947993	+	0.0933692i	0.560182	−	0.828370i	$-0.310731\pi$
$167$	12.2508	+	1.20660i	0.947993	+	0.0933692i	0.387811	+	0.921739i	$0.373231\pi$
$168$	−19.9097	+	15.5528i	−1.53607	+	1.19992i
$169$	−12.7825	−	10.4903i	−0.983269	−	0.806948i
$170$	−15.5164	−	13.8293i	−1.19005	−	1.06066i
$171$	−3.01265	−	0.754630i	−0.230383	−	0.0577080i
$172$	1.15964	−	0.436873i	0.0884218	−	0.0333112i
$173$	−0.658140	−	13.3967i	−0.0500375	−	1.01854i	−0.884227	−	0.467058i	$-0.845314\pi$
$173$	−0.658140	−	13.3967i	−0.0500375	−	1.01854i	0.834189	−	0.551478i	$-0.185936\pi$
$174$	12.7031	+	29.9589i	0.963018	+	2.27118i
$175$	7.30584	−	10.9340i	0.552270	−	0.826530i
$176$	1.98024	−	9.19657i	0.149266	−	0.693218i
$177$	−7.15904	−	10.7143i	−0.538106	−	0.805333i
$178$	−4.24138	−	2.78313i	−0.317905	−	0.208604i
$179$	3.72606	+	7.87810i	0.278499	+	0.588837i	0.993951	−	0.109825i	$-0.0350292\pi$
$179$	3.72606	+	7.87810i	0.278499	+	0.588837i	−0.715452	+	0.698662i	$0.753779\pi$
$180$	13.7294	+	17.8809i	1.02333	+	1.33277i
$181$	−2.87028	−	2.12875i	−0.213347	−	0.158229i	0.483749	−	0.875207i	$-0.339275\pi$
$181$	−2.87028	−	2.12875i	−0.213347	−	0.158229i	−0.697096	+	0.716978i	$0.745525\pi$
$182$	−22.7069	−	13.3539i	−1.68315	−	0.989860i
$183$	−7.05689	+	23.2635i	−0.521661	+	1.71968i
$184$	4.05625	+	18.0237i	0.299031	+	1.32872i
$185$	−13.3709	+	25.0153i	−0.983050	+	1.83916i
$186$	−12.3505	−	9.00108i	−0.905579	−	0.659991i
$187$	−10.9480	+	3.91724i	−0.800594	+	0.286457i
$188$	−0.0327843	−	1.96579i	−0.00239104	−	0.143370i
$189$	−6.06678	−	3.63629i	−0.441293	−	0.264501i
$190$	−0.308918	+	3.42940i	−0.0224113	+	0.248795i
$191$	9.28395	−	9.28395i	0.671763	−	0.671763i	−0.286359	−	0.958122i	$-0.592445\pi$
$191$	9.28395	−	9.28395i	0.671763	−	0.671763i	0.958122	+	0.286359i	$0.0924450\pi$
$192$	−18.3779	+	9.84541i	−1.32631	+	0.710532i
$193$	−5.99797	−	5.99797i	−0.431743	−	0.431743i	0.457478	−	0.889221i	$-0.348753\pi$
$193$	−5.99797	−	5.99797i	−0.431743	−	0.431743i	−0.889221	+	0.457478i	$0.848753\pi$
$194$	−13.1956	+	11.0148i	−0.947389	+	0.790813i
$195$	−21.6454	+	36.1132i	−1.55006	+	2.58612i
$196$	−8.83111	−	3.48660i	−0.630794	−	0.249043i
$197$	3.95237	+	11.0461i	0.281595	+	0.787005i	0.996169	+	0.0874453i	$0.0278703\pi$
$197$	3.95237	+	11.0461i	0.281595	+	0.787005i	−0.714575	+	0.699559i	$0.753380\pi$
$198$	12.4594	−	1.95448i	0.885448	−	0.138899i
$199$	−11.1982	−	5.98557i	−0.793820	−	0.424306i	0.0240486	−	0.999711i	$-0.492344\pi$
$199$	−11.1982	−	5.98557i	−0.793820	−	0.424306i	−0.817868	+	0.575405i	$0.804844\pi$
$200$	7.47918	−	7.86302i	0.528858	−	0.556000i
$201$	7.76990	+	2.35697i	0.548046	+	0.166248i
$202$	1.48695	+	5.73298i	0.104621	+	0.403371i
$203$	−18.0266	+	24.3061i	−1.26522	+	1.70595i
$204$	22.3212	+	12.8779i	1.56280	+	0.901630i
$205$	23.1638	−	10.9556i	1.61783	−	0.765175i
$206$	2.22665	−	0.462242i	0.155138	−	0.0322059i
$207$	−20.5933	+	13.7600i	−1.43133	+	0.956385i
$208$	−16.5852	−	14.0537i	−1.14998	−	0.974446i
$209$	1.60164	+	1.07018i	0.110788	+	0.0740261i
$210$	−14.0804	+	34.8114i	−0.971643	+	2.40221i
$211$	−5.18911	+	0.254925i	−0.357233	+	0.0175498i	−0.226893	−	0.973920i	$-0.572857\pi$
$211$	−5.18911	+	0.254925i	−0.357233	+	0.0175498i	−0.130340	+	0.991469i	$0.541607\pi$
$212$	−13.5292	−	0.438655i	−0.929188	−	0.0301269i
$213$	7.38569	−	29.4853i	0.506059	−	2.02030i
$214$	5.11511	−	0.294060i	0.349662	−	0.0201016i
$215$	1.16847	−	1.42378i	0.0796890	−	0.0971013i
$216$	−4.42158	−	3.81046i	−0.300850	−	0.259269i
$217$	1.39301	−	14.1434i	0.0945635	−	0.960120i
$218$	8.16769	−	2.99950i	0.553186	−	0.203152i
$219$	−0.161330	+	3.28395i	−0.0109017	+	0.221909i
$220$	−4.28145	−	13.3108i	−0.288655	−	0.897417i
$221$	−3.94259	+	26.5788i	−0.265207	+	1.78788i
$222$	9.92756	−	33.7369i	0.666294	−	2.26427i
$223$	8.85294	−	3.66701i	0.592837	−	0.245561i	−0.0660338	−	0.997817i	$-0.521035\pi$
$223$	8.85294	−	3.66701i	0.592837	−	0.245561i	0.658871	+	0.752256i	$0.271035\pi$
$224$	−16.5558	−	10.0904i	−1.10618	−	0.674193i
$225$	13.4410	+	5.56743i	0.896065	+	0.371162i
$226$	10.3843	−	12.8706i	0.690753	−	0.856142i
$227$	−13.2647	−	17.8854i	−0.880411	−	1.18710i	−0.981355	−	0.192205i	$-0.938436\pi$
$227$	−13.2647	−	17.8854i	−0.880411	−	1.18710i	0.100943	−	0.994892i	$-0.467814\pi$
$228$	−0.489231	−	4.24097i	−0.0324001	−	0.280865i
$229$	21.2304	−	19.2421i	1.40294	−	1.27155i	0.485188	−	0.874410i	$-0.338751\pi$
$229$	21.2304	−	19.2421i	1.40294	−	1.27155i	0.917756	−	0.397145i	$-0.129999\pi$
$230$	18.6095	+	20.1915i	1.22707	+	1.33139i
$231$	13.3269	+	16.2388i	0.876844	+	1.06844i
$232$	−18.0783	+	17.2282i	−1.18690	+	1.13108i
$233$	1.89554	−	0.186695i	0.124181	−	0.0122308i	−0.0357356	−	0.999361i	$-0.511377\pi$
$233$	1.89554	−	0.186695i	0.124181	−	0.0122308i	0.159917	+	0.987131i	$0.448877\pi$
$234$	9.58904	−	27.5209i	0.626855	−	1.79909i
$235$	−1.50232	−	2.50647i	−0.0980008	−	0.163504i
$236$	5.75759	−	8.04003i	0.374787	−	0.523361i
$237$	−6.50152	−	5.89264i	−0.422319	−	0.382768i
$238$	0.199812	+	23.9636i	0.0129519	+	1.55333i
$239$	−15.0567	+	2.99496i	−0.973935	+	0.193728i	−0.656312	−	0.754489i	$-0.727885\pi$
$239$	−15.0567	+	2.99496i	−0.973935	+	0.193728i	−0.317623	+	0.948217i	$0.602885\pi$
$240$	−16.3475	+	26.3258i	−1.05523	+	1.69932i
$241$	15.5830	+	3.09965i	1.00379	+	0.199666i	0.669506	−	0.742807i	$-0.266506\pi$
$241$	15.5830	+	3.09965i	1.00379	+	0.199666i	0.334283	+	0.942473i	$0.391506\pi$
$242$	7.59784	+	1.44555i	0.488408	+	0.0929238i
$243$	−7.35125	+	20.5454i	−0.471583	+	1.31799i
$244$	−18.6160	+	1.22601i	−1.19176	+	0.0784876i
$245$	−13.9592	+	2.07065i	−0.891821	+	0.132289i
$246$	−25.3587	+	19.1371i	−1.61681	+	1.22014i
$247$	3.92570	−	2.09833i	0.249786	−	0.133514i
$248$	3.12273	−	11.3048i	0.198293	−	0.717853i
$249$	6.48843	+	21.3895i	0.411188	+	1.35550i
$250$	−1.14865	+	4.75347i	−0.0726469	+	0.300636i
$251$	21.3065	+	10.0772i	1.34486	+	0.636070i	0.958185	−	0.286148i	$-0.0923748\pi$
$251$	21.3065	+	10.0772i	1.34486	+	0.636070i	0.386671	+	0.922218i	$0.373625\pi$
$252$	4.64510	−	25.5742i	0.292614	−	1.61102i
$253$	14.9012	−	3.73255i	0.936828	−	0.234663i
$254$	12.2484	−	23.3821i	0.768534	−	1.46712i
$255$	38.3024			2.39859
$256$	−12.0427	−	10.5344i	−0.752666	−	0.658403i
$257$	8.55940			0.533921			0.266960	−	0.963707i	$-0.413981\pi$
$257$	8.55940			0.533921			0.266960	+	0.963707i	$0.413981\pi$
$258$	−1.05966	+	2.02287i	−0.0659713	+	0.125938i
$259$	31.7236	−	7.94635i	1.97121	−	0.493762i
$260$	−31.7910	−	5.77427i	−1.97159	−	0.358105i
$261$	−30.2646	−	14.3141i	−1.87333	−	0.886020i
$262$	1.95295	−	8.08191i	0.120653	−	0.499302i
$263$	−2.00276	−	6.60220i	−0.123495	−	0.407109i	0.873293	−	0.487196i	$-0.161980\pi$
$263$	−2.00276	−	6.60220i	−0.123495	−	0.407109i	−0.996788	+	0.0800868i	$0.974480\pi$
$264$	8.55193	+	15.0797i	0.526335	+	0.928093i
$265$	−17.7438	+	9.48424i	−1.08999	+	0.582612i
$266$	3.16893	−	2.39145i	0.194300	−	0.146629i
$267$	9.24733	−	1.37171i	0.565927	−	0.0839474i
$268$	0.409484	+	6.21765i	0.0250132	+	0.379804i
$269$	6.96242	−	19.4587i	0.424506	−	1.18642i	−0.518917	−	0.854825i	$-0.673665\pi$
$269$	6.96242	−	19.4587i	0.424506	−	1.18642i	0.943423	−	0.331591i	$-0.107585\pi$
$270$	−8.52276	−	1.62153i	−0.518679	−	0.0986831i
$271$	−4.57322	−	0.909670i	−0.277803	−	0.0552585i	0.0542222	−	0.998529i	$-0.482732\pi$
$271$	−4.57322	−	0.909670i	−0.277803	−	0.0552585i	−0.332026	+	0.943270i	$0.607732\pi$
$272$	−3.20924	+	19.5142i	−0.194589	+	1.18322i
$273$	47.6115	−	9.47051i	2.88158	−	0.573182i
$274$	0.181042	+	21.7125i	0.0109372	+	1.31170i
$275$	−6.68591	−	6.05976i	−0.403176	−	0.365417i
$276$	−27.6794	−	19.8217i	−1.66611	−	1.19313i
$277$	11.6496	+	19.4362i	0.699959	+	1.16781i	0.978273	+	0.207321i	$0.0664744\pi$
$277$	11.6496	+	19.4362i	0.699959	+	1.16781i	−0.278314	+	0.960490i	$0.589776\pi$
$278$	−1.93092	+	5.54181i	−0.115809	+	0.332376i
$279$	15.6473	−	1.54112i	0.936779	−	0.0922647i
$280$	−28.8093	−	0.693676i	−1.72169	−	0.0414551i
$281$	5.81240	+	7.08243i	0.346739	+	0.422502i	0.916954	−	0.398993i	$-0.130640\pi$
$281$	5.81240	+	7.08243i	0.346739	+	0.422502i	−0.570215	+	0.821495i	$0.693140\pi$
$282$	2.45540	+	2.66414i	0.146217	+	0.158647i
$283$	21.2220	−	19.2345i	1.26152	−	1.14337i	0.278388	−	0.960469i	$-0.410200\pi$
$283$	21.2220	−	19.2345i	1.26152	−	1.14337i	0.983131	−	0.182905i	$-0.0585502\pi$
$284$	23.1732	−	2.67322i	1.37507	−	0.158626i
$285$	−3.77989	−	5.09659i	−0.223901	−	0.301896i
$286$	−11.3503	+	14.0679i	−0.671156	+	0.831854i
$287$	−27.2950	−	11.3059i	−1.61117	−	0.667369i
$288$	7.37548	−	20.1421i	0.434605	−	1.18688i
$289$	6.87725	−	2.84865i	0.404544	−	0.167568i
$290$	−10.4782	+	35.6080i	−0.615299	+	2.09097i
$291$	4.64773	−	31.3324i	0.272455	−	1.83674i
$292$	−2.40203	+	0.772616i	−0.140568	+	0.0452139i
$293$	0.333964	−	6.79800i	0.0195104	−	0.397143i	−0.969102	−	0.246660i	$-0.920667\pi$
$293$	0.333964	−	6.79800i	0.0195104	−	0.397143i	0.988613	−	0.150483i	$-0.0480830\pi$
$294$	16.4240	−	6.03153i	0.957865	−	0.351766i
$295$	1.44069	−	14.6275i	0.0838801	−	0.851649i
$296$	26.9141	−	1.99803i	1.56435	−	0.116133i
$297$	−3.07898	+	3.75175i	−0.178660	+	0.217698i
$298$	−20.8982	+	1.20141i	−1.21060	+	0.0695956i
$299$	8.62529	−	34.4341i	0.498813	−	1.99137i
$300$	−0.648053	+	19.9876i	−0.0374154	+	1.15398i
$301$	−2.12108	+	0.104202i	−0.122257	+	0.00600610i
$302$	−4.84236	+	11.9719i	−0.278646	+	0.688903i
$303$	−9.07494	−	6.06368i	−0.521342	−	0.348349i
$304$	2.91330	−	1.49874i	0.167089	−	0.0859586i
$305$	−23.0562	+	15.4057i	−1.32019	+	0.882126i
$306$	−25.9591	+	5.38898i	−1.48398	+	0.308067i
$307$	−19.9406	+	9.43120i	−1.13807	+	0.538267i	−0.901256	−	0.433288i	$-0.857353\pi$
$307$	−19.9406	+	9.43120i	−1.13807	+	0.538267i	−0.236814	+	0.971555i	$0.576103\pi$
$308$	−8.05637	+	13.9642i	−0.459054	+	0.795681i
$309$	−2.49644	+	3.36606i	−0.142018	+	0.191488i
$310$	−4.37645	−	16.8736i	−0.248566	−	0.958356i
$311$	30.2685	+	9.18184i	1.71637	+	0.520654i	0.986616	−	0.163060i	$-0.0521363\pi$
$311$	30.2685	+	9.18184i	1.71637	+	0.520654i	0.729750	+	0.683714i	$0.239636\pi$
$312$	40.0478	−	1.00196i	2.26726	−	0.0567248i
$313$	1.43870	+	0.769001i	0.0813201	+	0.0434665i	0.511556	−	0.859250i	$-0.329069\pi$
$313$	1.43870	+	0.769001i	0.0813201	+	0.0434665i	−0.430235	+	0.902717i	$0.641569\pi$
$314$	−19.8236	+	3.10970i	−1.11871	+	0.175490i
$315$	−13.0153	−	36.3753i	−0.733329	−	2.04952i
$316$	2.47282	−	6.26334i	0.139107	−	0.352341i
$317$	−3.52073	+	5.87398i	−0.197744	+	0.329915i	−0.940589	−	0.339548i	$-0.889726\pi$
$317$	−3.52073	+	5.87398i	−0.197744	+	0.329915i	0.742845	+	0.669463i	$0.233476\pi$
$318$	19.1499	−	15.9850i	1.07388	−	0.896395i
$319$	14.6829	+	14.6829i	0.822085	+	0.822085i
$320$	−23.3287	−	4.61757i	−1.30412	−	0.258130i
$321$	−6.67630	+	6.67630i	−0.372635	+	0.372635i
$322$	2.84040	−	31.5323i	0.158289	−	1.75722i
$323$	−3.47333	−	2.08184i	−0.193261	−	0.115836i
$324$	−11.9931	+	0.200015i	−0.666285	+	0.0111119i
$325$	−19.6327	+	7.02469i	−1.08903	+	0.389660i
$326$	−11.0991	−	8.08911i	−0.614724	−	0.448014i
$327$	−7.55853	+	14.1410i	−0.417987	+	0.781999i
$328$	−20.6042	−	13.0339i	−1.13767	−	0.719676i
$329$	−0.978046	+	3.22418i	−0.0539214	+	0.177755i
$330$	22.2107	+	13.0621i	1.22266	+	0.719046i
$331$	19.6014	+	14.5374i	1.07739	+	0.799045i	0.980553	−	0.196255i	$-0.0628780\pi$
$331$	19.6014	+	14.5374i	1.07739	+	0.799045i	0.0968352	+	0.995300i	$0.469128\pi$
$332$	−13.6055	+	10.4466i	−0.746697	+	0.573333i
$333$	15.4694	+	32.7072i	0.847716	+	1.79235i
$334$	−14.5552	−	9.55091i	−0.796426	−	0.522603i
$335$	5.14543	+	7.70068i	0.281125	+	0.420733i
$336$	35.1479	−	6.41815i	1.91748	−	0.350139i
$337$	−11.7968	+	17.6551i	−0.642611	+	0.961735i	0.357007	+	0.934102i	$0.383797\pi$
$337$	−11.7968	+	17.6551i	−0.642611	+	0.961735i	−0.999618	+	0.0276337i	$0.991203\pi$
$338$	9.12905	+	21.5299i	0.496555	+	1.17107i
$339$	1.49535	+	30.4386i	0.0812163	+	1.65320i
$340$	10.3627	+	27.5069i	0.561998	+	1.49177i
$341$	−9.45969	−	2.36953i	−0.512271	−	0.128317i
$342$	3.27886	+	2.92236i	0.177300	+	0.158023i
$343$	−5.96855	−	4.89826i	−0.322272	−	0.264481i
$344$	−1.73942	−	0.213707i	−0.0937832	−	0.0115223i
$345$	−50.3583	−	4.95986i	−2.71120	−	0.267030i
$346$	−7.96691	+	17.2145i	−0.428304	+	0.925459i
$347$	−23.6724	−	1.16295i	−1.27080	−	0.0624304i	−0.597542	−	0.801838i	$-0.703856\pi$
$347$	−23.6724	−	1.16295i	−1.27080	−	0.0624304i	−0.673259	+	0.739407i	$0.735106\pi$
$348$	3.74640	−	45.8670i	0.200828	−	2.45873i
$349$	1.14363	+	0.169642i	0.0612173	+	0.00908074i	0.177269	−	0.984162i	$-0.443274\pi$
$349$	1.14363	+	0.169642i	0.0612173	+	0.00908074i	−0.116052	+	0.993243i	$0.537024\pi$
$350$	−16.3276	+	8.90308i	−0.872745	+	0.475890i
$351$	4.29196	+	10.3617i	0.229088	+	0.553067i
$352$	−8.51582	+	10.2214i	−0.453895	+	0.544804i
$353$	1.49364	−	3.60597i	0.0794986	−	0.191927i	−0.879133	−	0.476577i	$-0.841877\pi$
$353$	1.49364	−	3.60597i	0.0794986	−	0.191927i	0.958631	+	0.284650i	$0.0918774\pi$
$354$	1.93736	+	18.1202i	0.102970	+	0.963077i
$355$	27.8484	−	20.6538i	1.47804	−	1.09619i
$356$	3.48697	+	6.26987i	0.184809	+	0.332303i
$357$	−29.6573	−	32.7218i	−1.56963	−	1.73182i
$358$	0.502082	−	12.3144i	0.0265358	−	0.650835i
$359$	−10.6876	+	8.77108i	−0.564070	+	0.462920i	−0.872696	−	0.488263i	$-0.837631\pi$
$359$	−10.6876	+	8.77108i	−0.564070	+	0.462920i	0.308627	+	0.951183i	$0.400131\pi$
$360$	−5.46535	−	31.4099i	−0.288049	−	1.65545i
$361$	−1.79657	−	18.2409i	−0.0945564	−	0.960047i
$362$	2.19877	+	4.55034i	0.115565	+	0.239161i
$363$	−12.2248	+	7.32724i	−0.641634	+	0.384581i
$364$	19.6826	+	31.6301i	1.03165	+	1.65787i
$365$	−2.51859	+	2.77883i	−0.131829	+	0.145451i
$366$	24.1067	−	24.5121i	1.26008	−	1.28127i
$367$	1.78838	+	8.99081i	0.0933529	+	0.469317i	0.998976	+	0.0452341i	$0.0144034\pi$
$367$	1.78838	+	8.99081i	0.0933529	+	0.469317i	−0.905624	+	0.424083i	$0.860597\pi$
$368$	6.74630	−	25.2408i	0.351675	−	1.31577i
$369$	6.37657	−	32.0572i	0.331951	−	1.66883i
$370$	33.1661	−	22.5632i	1.72423	−	1.17300i
$371$	21.8413	+	7.81494i	1.13394	+	0.405731i
$372$	9.56510	+	19.3808i	0.495927	+	1.00485i
$373$	−4.33852	−	29.2480i	−0.224640	−	1.51440i	−0.748808	−	0.662787i	$-0.769374\pi$
$373$	−4.33852	−	29.2480i	−0.224640	−	1.51440i	0.524168	−	0.851615i	$-0.324376\pi$
$374$	16.2856	+	2.27713i	0.842107	+	0.117748i
$375$	−4.24815	−	7.94774i	−0.219374	−	0.410419i
$376$	−1.24895	+	2.48414i	−0.0644095	+	0.128110i
$377$	45.9177	−	13.9290i	2.36488	−	0.717379i
$378$	5.21385	+	8.53655i	0.268171	+	0.439073i
$379$	−2.80757	+	5.93611i	−0.144215	+	0.304918i	−0.963148	−	0.268972i	$-0.913316\pi$
$379$	−2.80757	+	5.93611i	−0.144215	+	0.304918i	0.818933	+	0.573890i	$0.194566\pi$
$380$	2.63748	−	4.09342i	0.135300	−	0.209988i
$381$	11.8192	+	47.1848i	0.605514	+	2.41735i
$382$	−17.7228	+	5.53794i	−0.906778	+	0.283346i
$383$		−	28.7252i		−	1.46779i	−0.679264	−	0.733894i	$-0.737701\pi$
$383$		−	28.7252i		−	1.46779i	0.679264	−	0.733894i	$-0.262299\pi$
$384$	29.4836	−	0.273565i	1.50458	−	0.0139603i
$385$			23.9619i			1.22121i
$386$	3.57783	+	11.4500i	0.182107	+	0.582788i
$387$	−0.570867	−	2.27903i	−0.0290188	−	0.115850i
$388$	23.7589	−	5.13923i	1.20618	−	0.260905i
$389$	−0.685087	+	1.44849i	−0.0347353	+	0.0734416i	−0.920611	−	0.390481i	$-0.872309\pi$
$389$	−0.685087	+	1.44849i	−0.0347353	+	0.0734416i	0.885876	+	0.463923i	$0.153559\pi$
$390$	50.8148	−	31.0360i	2.57311	−	1.57157i
$391$	−30.9027	+	9.37424i	−1.56282	+	0.474076i
$392$	8.77507	+	10.1631i	0.443208	+	0.513313i
$393$	7.22275	+	13.5128i	0.364340	+	0.681632i
$394$	2.29755	−	16.4316i	0.115749	−	0.827813i
$395$	−1.46858	−	9.90037i	−0.0738923	−	0.498142i
$396$	−16.8909	−	5.72779i	−0.848801	−	0.287832i
$397$	11.3469	+	4.06000i	0.569486	+	0.203765i	0.605858	−	0.795573i	$-0.292830\pi$
$397$	11.3469	+	4.06000i	0.569486	+	0.203765i	−0.0363716	+	0.999338i	$0.511580\pi$
$398$	10.1005	+	14.8470i	0.506293	+	0.744213i
$399$	−1.42728	+	7.17543i	−0.0714534	+	0.359221i
$400$	−14.5294	+	4.94224i	−0.726472	+	0.247112i
$401$	5.12413	+	25.7607i	0.255887	+	1.28643i	0.868359	+	0.495937i	$0.165175\pi$
$401$	5.12413	+	25.7607i	0.255887	+	1.28643i	−0.612472	+	0.790492i	$0.709825\pi$
$402$	−8.18694	−	8.05154i	−0.408327	−	0.401574i
$403$	−15.1336	+	16.6974i	−0.753861	+	0.831757i
$404$	1.89942	−	8.15772i	0.0944996	−	0.405862i
$405$	−15.2918	+	9.16556i	−0.759856	+	0.455440i
$406$	38.5332	−	18.6195i	1.91237	−	0.924073i
$407$	−2.19957	−	22.3326i	−0.109029	−	1.10699i
$408$	−19.5118	−	30.7805i	−0.965980	−	1.52386i
$409$	13.8685	−	11.3816i	0.685754	−	0.562784i	−0.225695	−	0.974198i	$-0.572465\pi$
$409$	13.8685	−	11.3816i	0.685754	−	0.562784i	0.911448	+	0.411414i	$0.134965\pi$
$410$	−36.2076	−	1.47626i	−1.78817	−	0.0729072i
$411$	−26.8713	−	29.6479i	−1.32546	−	1.46242i
$412$	−3.09276	−	0.882136i	−0.152369	−	0.0434597i
$413$	−13.6118	+	10.0952i	−0.669795	+	0.496754i
$414$	34.8278	−	3.72369i	1.71169	−	0.183010i
$415$	−9.75680	+	23.5550i	−0.478942	+	1.15627i
$416$	11.5545	+	28.4894i	0.566507	+	1.39681i
$417$	−4.13858	−	9.99142i	−0.202667	−	0.489282i
$418$	−1.30415	−	2.39171i	−0.0637881	−	0.116982i
$419$	−4.30798	−	0.639028i	−0.210459	−	0.0312186i	0.0406686	−	0.999173i	$-0.487051\pi$
$419$	−4.30798	−	0.639028i	−0.210459	−	0.0312186i	−0.251127	+	0.967954i	$0.580801\pi$
$420$	40.4835	−	34.3695i	1.97539	−	1.67706i
$421$	5.27434	+	0.259112i	0.257056	+	0.0126283i	0.177188	−	0.984177i	$-0.443300\pi$
$421$	5.27434	+	0.259112i	0.257056	+	0.0126283i	0.0798682	+	0.996805i	$0.474550\pi$
$422$	6.66790	+	3.08592i	0.324588	+	0.150220i
$423$	−3.70956	−	0.365360i	−0.180365	−	0.0177644i
$424$	16.6607	+	9.42782i	0.809115	+	0.457856i
$425$	14.6634	+	12.0339i	0.711278	+	0.583731i
$426$	−28.6016	+	32.0907i	−1.38575	+	1.55480i
$427$	31.0134	+	7.76844i	1.50084	+	0.375941i
$428$	−6.60088	−	2.98833i	−0.319066	−	0.144446i
$429$	−1.63446	−	33.2701i	−0.0789122	−	1.60630i
$430$	−2.39812	+	1.01684i	−0.115648	+	0.0490365i
$431$	−1.86166	+	2.78617i	−0.0896731	+	0.134205i	−0.873594	−	0.486655i	$-0.838217\pi$
$431$	−1.86166	+	2.78617i	−0.0896731	+	0.134205i	0.783921	+	0.620861i	$0.213217\pi$
$432$	3.03854	+	7.67510i	0.146192	+	0.369268i
$433$	14.4245	+	21.5878i	0.693198	+	1.03744i	0.996421	+	0.0845243i	$0.0269371\pi$
$433$	14.4245	+	21.5878i	0.693198	+	1.03744i	−0.303224	+	0.952919i	$0.598063\pi$
$434$	−11.0265	+	16.8039i	−0.529288	+	0.806614i
$435$	−29.2450	−	61.8334i	−1.40219	−	2.96469i
$436$	−12.2004	−	1.60232i	−0.584291	−	0.0767371i
$437$	4.29701	+	3.18688i	0.205554	+	0.152449i
$438$	2.35715	−	4.00807i	0.112629	−	0.191513i
$439$	−5.31695	+	17.5276i	−0.253764	+	0.836548i	0.733805	+	0.679361i	$0.237743\pi$
$439$	−5.31695	+	17.5276i	−0.253764	+	0.836548i	−0.987569	+	0.157188i	$0.949757\pi$
$440$	−3.37147	+	19.4847i	−0.160729	+	0.928895i
$441$	−8.48553	+	15.8753i	−0.404073	+	0.755968i
$442$	22.3809	−	30.7090i	1.06455	−	1.46068i
$443$	−38.1332	+	13.6443i	−1.81176	+	0.648260i	−0.814042	+	0.580806i	$0.802737\pi$
$443$	−38.1332	+	13.6443i	−1.81176	+	0.648260i	−0.997722	+	0.0674531i	$0.978513\pi$
$444$	−34.5759	+	35.7487i	−1.64090	+	1.69656i
$445$	9.14628	+	5.48207i	0.433575	+	0.259875i
$446$	−13.4968	−	1.21579i	−0.639094	−	0.0575691i
$447$	27.2765	−	27.2765i	1.29014	−	1.29014i
$448$	14.1185	+	23.5051i	0.667036	+	1.11051i
$449$	−8.20784	−	8.20784i	−0.387352	−	0.387352i	0.486390	−	0.873742i	$-0.338314\pi$
$449$	−8.20784	−	8.20784i	−0.387352	−	0.387352i	−0.873742	+	0.486390i	$0.838314\pi$
$450$	−13.1845	−	15.7950i	−0.621524	−	0.744582i
$451$	−10.4221	+	17.3883i	−0.490759	+	0.818783i
$452$	−21.4550	+	9.30906i	−1.00916	+	0.437861i
$453$	−8.01735	−	22.4070i	−0.376688	−	1.05277i
$454$	4.88026	+	31.1106i	0.229042	+	1.46009i
$455$	48.8337	+	26.1022i	2.28936	+	1.22369i
$456$	−2.17019	+	5.63388i	−0.101628	+	0.263831i
$457$	−26.2638	−	7.96702i	−1.22857	−	0.372682i	−0.391702	−	0.920092i	$-0.628114\pi$
$457$	−26.2638	−	7.96702i	−1.22857	−	0.372682i	−0.836864	+	0.547410i	$0.815614\pi$
$458$	−39.2235	+	10.1733i	−1.83279	+	0.475366i
$459$	6.07789	−	8.19508i	0.283692	−	0.382514i
$460$	−10.0625	−	37.5068i	−0.469168	−	1.74877i
$461$	−1.95520	+	0.924739i	−0.0910626	+	0.0430694i	−0.472544	−	0.881307i	$-0.656664\pi$
$461$	−1.95520	+	0.924739i	−0.0910626	+	0.0430694i	0.381481	+	0.924377i	$0.375414\pi$
$462$	−6.03864	−	29.0886i	−0.280943	−	1.35332i
$463$	6.25682	−	4.18067i	0.290779	−	0.194292i	−0.401621	−	0.915806i	$-0.631553\pi$
$463$	6.25682	−	4.18067i	0.290779	−	0.194292i	0.692400	+	0.721513i	$0.256553\pi$
$464$	33.9531	−	9.71884i	1.57623	−	0.451186i
$465$	26.7098	+	17.8469i	1.23864	+	0.827631i
$466$	−2.49714	−	1.01004i	−0.115678	−	0.0467891i
$467$	−22.7640	+	1.11832i	−1.05339	+	0.0517498i	−0.568387	−	0.822761i	$-0.692432\pi$
$467$	−22.7640	+	1.11832i	−1.05339	+	0.0517498i	−0.485005	+	0.874511i	$0.661182\pi$
$468$	−30.0727	+	28.1838i	−1.39011	+	1.30280i
$469$	2.59463	−	10.3583i	0.119809	−	0.478303i
$470$	0.237188	+	4.12584i	0.0109407	+	0.190311i
$471$	23.4585	−	28.5842i	1.08091	−	1.31709i
$472$	−12.4889	+	6.29374i	−0.574848	+	0.289693i
$473$	−0.142831	+	1.45019i	−0.00656737	+	0.0666796i
$474$	4.27778	+	11.6485i	0.196485	+	0.535032i
$475$	0.154195	−	3.13871i	0.00707496	−	0.144014i
$476$	15.4754	−	30.1513i	0.709315	−	1.38198i
$477$	−3.76567	+	25.3861i	−0.172418	+	1.16235i
$478$	20.8275	+	6.12878i	0.952627	+	0.280324i
$479$	19.8883	−	8.23801i	0.908720	−	0.376404i	0.121154	−	0.992634i	$-0.461341\pi$
$479$	19.8883	−	8.23801i	0.908720	−	0.376404i	0.787567	+	0.616230i	$0.211341\pi$
$480$	37.7550	−	22.2515i	1.72327	−	1.01564i
$481$	−47.9093	−	19.8447i	−2.18448	−	0.904840i
$482$	−17.4873	−	14.1091i	−0.796526	−	0.642653i
$483$	34.7549	+	46.8616i	1.58140	+	2.13228i
$484$	−8.56950	−	6.79686i	−0.389523	−	0.308948i
$485$	26.7708	−	24.2637i	1.21560	−	1.10176i
$486$	22.6918	−	20.9139i	1.02932	−	0.948673i
$487$	26.7056	+	32.5408i	1.21014	+	1.47456i	0.837364	+	0.546645i	$0.184095\pi$
$487$	26.7056	+	32.5408i	1.21014	+	1.47456i	0.372780	+	0.927920i	$0.378405\pi$
$488$	24.1255	+	10.6805i	1.09211	+	0.483485i
$489$	25.1873	−	2.48073i	1.13901	−	0.112183i
$490$	18.8461	+	6.56651i	0.851380	+	0.296645i
$491$	−4.23976	−	7.07361i	−0.191338	−	0.319228i	0.747078	−	0.664737i	$-0.231456\pi$
$491$	−4.23976	−	7.07361i	−0.191338	−	0.319228i	−0.938415	+	0.345509i	$0.887706\pi$
$492$	44.3263	−	7.33257i	1.99838	−	0.330578i
$493$	−32.3440	−	29.3149i	−1.45670	−	1.32028i
$494$	−6.29488	+	0.0524876i	−0.283220	+	0.00236153i
$495$	−26.0004	+	5.17180i	−1.16863	+	0.232455i
$496$	−11.3305	+	12.1127i	−0.508755	+	0.543876i
$497$	−39.2074	−	7.79883i	−1.75869	−	0.349825i
$498$	5.90818	−	31.0534i	0.264752	−	1.39154i
$499$	−0.429835	+	1.20131i	−0.0192420	+	0.0537779i	−0.950781	−	0.309863i	$-0.899717\pi$
$499$	−0.429835	+	1.20131i	−0.0192420	+	0.0537779i	0.931539	+	0.363641i	$0.118467\pi$
$500$	4.55835	−	5.20109i	0.203855	−	0.232600i
$501$	31.7342	−	4.70733i	1.41778	−	0.210308i
$502$	−20.0785	−	26.6062i	−0.896149	−	1.18749i
$503$	−30.5277	+	16.3174i	−1.36116	+	0.727557i	−0.980382	−	0.197108i	$-0.936845\pi$
$503$	−30.5277	+	16.3174i	−1.36116	+	0.727557i	−0.380782	+	0.924665i	$0.624345\pi$
$504$	−22.6017	+	28.9895i	−1.00676	+	1.29130i
$505$	−3.61388	−	11.9134i	−0.160815	−	0.530138i
$506$	−21.1167	−	5.10273i	−0.938752	−	0.226844i
$507$	−38.9572	−	18.4254i	−1.73015	−	0.818300i
$508$	−30.6882	+	21.2538i	−1.36157	+	0.942986i
$509$	−32.5670	+	8.15760i	−1.44351	+	0.361579i	−0.884093	−	0.467311i	$-0.845223\pi$
$509$	−32.5670	+	8.15760i	−1.44351	+	0.361579i	−0.559412	+	0.828890i	$0.688973\pi$
$510$	−47.9829	−	25.1353i	−2.12472	−	1.11301i
$511$	4.32408			0.191286
$512$	8.17326	+	21.0997i	0.361211	+	0.932484i
$513$	−1.69025			−0.0746266
$514$	−10.7227	−	5.61696i	−0.472958	−	0.247754i
$515$	−4.63694	+	1.16149i	−0.204328	+	0.0511815i
$516$	2.65495	−	1.83875i	0.116878	−	0.0809463i
$517$	2.08996	+	0.988477i	0.0919163	+	0.0434732i
$518$	−44.9561	−	10.8634i	−1.97526	−	0.477309i
$519$	−10.1471	−	33.4505i	−0.445408	−	1.46831i
$520$	36.0366	+	28.0960i	1.58031	+	1.23209i
$521$	16.7586	−	8.95767i	0.734209	−	0.392443i	−0.0615121	−	0.998106i	$-0.519592\pi$
$521$	16.7586	−	8.95767i	0.734209	−	0.392443i	0.795721	+	0.605664i	$0.207092\pi$
$522$	28.5203	+	37.7925i	1.24830	+	1.65413i
$523$	14.4529	−	2.14389i	0.631983	−	0.0937458i	0.176949	−	0.984220i	$-0.443377\pi$
$523$	14.4529	−	2.14389i	0.631983	−	0.0937458i	0.455034	+	0.890474i	$0.349627\pi$
$524$	−7.75015	+	8.84294i	−0.338567	+	0.386306i
$525$	11.5455	−	32.2676i	0.503888	−	1.40827i
$526$	−1.82365	+	9.58512i	−0.0795150	+	0.417931i
$527$	20.1068	+	3.99949i	0.875865	+	0.174220i
$528$	−0.817524	−	24.5030i	−0.0355782	−	1.06636i
$529$	19.2854	−	3.83611i	0.838497	−	0.166787i
$530$	28.4522	−	0.237239i	1.23589	−	0.0103050i
$531$	−13.8919	−	12.5909i	−0.602859	−	0.546399i
$532$	−5.53920	+	0.916309i	−0.240155	+	0.0397271i
$533$	24.0838	+	40.1814i	1.04319	+	1.74045i
$534$	−12.4847	−	4.35001i	−0.540264	−	0.188243i
$535$	−10.7178	+	1.05561i	−0.463372	+	0.0456382i
$536$	3.56725	−	8.05782i	0.154082	−	0.348045i
$537$	14.4082	+	17.5565i	0.621761	+	0.757618i
$538$	−21.4915	+	19.8077i	−0.926565	+	0.853969i
$539$	8.27252	−	7.49778i	0.356323	−	0.322952i
$540$	9.61271	+	7.62428i	0.413665	+	0.328097i
$541$	−19.0875	−	25.7365i	−0.820636	−	1.10650i	−0.992604	−	0.121397i	$-0.961263\pi$
$541$	−19.0875	−	25.7365i	−0.820636	−	1.10650i	0.171969	−	0.985102i	$-0.444987\pi$
$542$	5.13210	+	4.14068i	0.220443	+	0.177857i
$543$	−8.60413	−	3.56395i	−0.369238	−	0.152944i
$544$	16.8262	−	22.3402i	0.721417	−	0.957827i
$545$	−16.8973	+	6.99910i	−0.723802	+	0.299809i
$546$	−65.8597	−	19.3802i	−2.81853	−	0.829394i
$547$	−5.53141	+	37.2898i	−0.236506	+	1.59440i	0.467363	+	0.884066i	$0.345204\pi$
$547$	−5.53141	+	37.2898i	−0.236506	+	1.59440i	−0.703869	+	0.710330i	$0.748546\pi$
$548$	14.0217	−	27.3190i	0.598977	−	1.16701i
$549$	−1.73557	+	35.3284i	−0.0740724	+	1.50778i
$550$	4.39909	+	11.9788i	0.187578	+	0.510778i
$551$	−0.708816	+	7.19673i	−0.0301966	+	0.306591i
$552$	21.6675	+	42.9956i	0.922230	+	1.83001i
$553$	−7.32079	+	8.92041i	−0.311312	+	0.379334i
$554$	−1.83926	−	31.9934i	−0.0781425	−	1.35927i
$555$	−17.9614	+	71.7059i	−0.762419	+	3.04375i
$556$	6.05567	−	5.67532i	0.256818	−	0.240687i
$557$	−0.738023	+	0.0362568i	−0.0312710	+	0.00153625i	−0.0646972	−	0.997905i	$-0.520608\pi$
$557$	−0.738023	+	0.0362568i	−0.0312710	+	0.00153625i	0.0334261	+	0.999441i	$0.489358\pi$
$558$	−20.6133	−	8.33765i	−0.872632	−	0.352961i
$559$	2.79985	+	1.87080i	0.118421	+	0.0791264i
$560$	35.6354	+	19.7746i	1.50587	+	0.835631i
$561$	−25.1961	+	16.8355i	−1.06378	+	0.710795i
$562$	−2.63370	−	12.6867i	−0.111096	−	0.535157i
$563$	15.5146	−	7.33784i	0.653860	−	0.309253i	−0.0716849	−	0.997427i	$-0.522838\pi$
$563$	15.5146	−	7.33784i	0.653860	−	0.309253i	0.725545	+	0.688174i	$0.241588\pi$
$564$	−1.32769	−	4.94879i	−0.0559057	−	0.208381i
$565$	−20.7075	+	27.9208i	−0.871169	+	1.17464i
$566$	−39.2080	+	10.1693i	−1.64804	+	0.427446i
$567$	19.6705	+	5.96698i	0.826083	+	0.250590i
$568$	−30.7842	−	11.8582i	−1.29168	−	0.497557i
$569$	20.6336	+	11.0289i	0.865007	+	0.462356i	0.843322	−	0.537409i	$-0.180597\pi$
$569$	20.6336	+	11.0289i	0.865007	+	0.462356i	0.0216853	+	0.999765i	$0.493097\pi$
$570$	1.39067	+	8.86520i	0.0582486	+	0.371322i
$571$	−5.20732	−	14.5535i	−0.217920	−	0.609045i	0.781979	−	0.623305i	$-0.214211\pi$
$571$	−5.20732	−	14.5535i	−0.217920	−	0.609045i	−0.999898	+	0.0142606i	$0.995461\pi$
$572$	23.4508	−	10.1750i	0.980527	−	0.425439i
$573$	17.5911	−	29.3489i	0.734877	−	1.22607i
$574$	26.7742	+	32.0753i	1.11753	+	1.33880i
$575$	−17.7205	−	17.7205i	−0.738995	−	0.738995i
$576$	−22.4575	+	20.3928i	−0.935728	+	0.849699i
$577$	−1.72148	+	1.72148i	−0.0716662	+	0.0716662i	−0.742031	−	0.670365i	$-0.766137\pi$
$577$	−1.72148	+	1.72148i	−0.0716662	+	0.0716662i	0.670365	+	0.742031i	$0.266137\pi$
$578$	−10.4848	−	0.944461i	−0.436109	−	0.0392844i
$579$	−18.9611	−	11.3648i	−0.787996	−	0.472307i
$580$	36.4936	−	37.7315i	1.51531	−	1.56671i
$581$	27.6777	−	9.90323i	1.14826	−	0.410855i
$582$	−26.3838	+	36.2014i	−1.09364	+	1.50060i
$583$	7.50350	−	14.0381i	0.310763	−	0.581397i
$584$	3.51613	+	0.608404i	0.145499	+	0.0251759i
$585$	−17.7827	+	58.6218i	−0.735225	+	2.42371i
$586$	−4.87944	+	8.29696i	−0.201568	+	0.342744i
$587$	19.7282	+	14.6314i	0.814271	+	0.603904i	0.920636	−	0.390423i	$-0.127671\pi$
$587$	19.7282	+	14.6314i	0.814271	+	0.603904i	−0.106365	+	0.994327i	$0.533921\pi$
$588$	−24.5330	−	3.22201i	−1.01173	−	0.132874i
$589$	−1.45207	−	3.07014i	−0.0598315	−	0.126503i
$590$	−11.4039	+	17.3791i	−0.469491	+	0.715486i
$591$	16.9865	+	25.4220i	0.698730	+	1.04572i
$592$	−35.0276	−	15.1589i	−1.43962	−	0.623028i
$593$	4.62319	−	6.91910i	0.189852	−	0.284133i	−0.724317	−	0.689467i	$-0.757845\pi$
$593$	4.62319	−	6.91910i	0.189852	−	0.284133i	0.914169	+	0.405334i	$0.132845\pi$
$594$	6.31918	−	2.67943i	0.259279	−	0.109939i
$595$	−2.47169	−	50.3125i	−0.101330	−	2.06261i
$596$	26.9684	+	12.2090i	1.10467	+	0.500102i
$597$	−32.0995	−	8.04051i	−1.31375	−	0.329076i
$598$	−33.4020	+	37.4768i	−1.36591	+	1.53254i
$599$	−26.0345	−	21.3659i	−1.06374	−	0.872988i	−0.0715135	−	0.997440i	$-0.522783\pi$
$599$	−26.0345	−	21.3659i	−1.06374	−	0.872988i	−0.992226	+	0.124451i	$0.960283\pi$
$600$	13.9283	−	24.6139i	0.568622	−	1.00486i
$601$	−9.99417	−	0.984340i	−0.407671	−	0.0401521i	−0.107896	−	0.994162i	$-0.534411\pi$
$601$	−9.99417	−	0.984340i	−0.407671	−	0.0401521i	−0.299774	+	0.954010i	$0.596911\pi$
$602$	2.72554	+	1.26138i	0.111085	+	0.0514102i
$603$	11.7995	+	0.579674i	0.480514	+	0.0236061i
$604$	13.9225	−	11.8199i	0.566500	−	0.480945i
$605$	−16.0811	−	2.38541i	−0.653791	−	0.0969807i
$606$	7.38935	+	13.5515i	0.300172	+	0.550492i
$607$	−12.2353	−	29.5387i	−0.496616	−	1.19894i	−0.951295	−	0.308282i	$-0.900246\pi$
$607$	−12.2353	−	29.5387i	−0.496616	−	1.19894i	0.454679	−	0.890655i	$-0.349754\pi$
$608$	−4.63313	−	0.0342747i	−0.187898	−	0.00139002i
$609$	−30.1801	+	72.8613i	−1.22296	+	2.95249i
$610$	38.9931	−	4.16904i	1.57879	−	0.168800i
$611$	4.29112	−	3.18251i	0.173600	−	0.128751i
$612$	36.0564	+	10.2842i	1.45750	+	0.415716i
$613$	20.0766	+	22.1512i	0.810888	+	0.894677i	0.996119	−	0.0880180i	$-0.0280533\pi$
$613$	20.0766	+	22.1512i	0.810888	+	0.894677i	−0.185231	+	0.982695i	$0.559303\pi$
$614$	31.1695	+	1.27084i	1.25790	+	0.0512870i
$615$	51.6209	−	42.3642i	2.08155	−	1.70829i
$616$	19.2563	−	12.2066i	0.775858	−	0.491818i
$617$	4.11399	+	41.7700i	0.165623	+	1.68160i	0.615211	+	0.788363i	$0.289071\pi$
$617$	4.11399	+	41.7700i	0.165623	+	1.68160i	−0.449588	+	0.893236i	$0.648429\pi$
$618$	5.33631	−	2.57855i	0.214658	−	0.103725i
$619$	−37.5014	+	22.4775i	−1.50731	+	0.903446i	−0.508201	+	0.861239i	$0.669689\pi$
$619$	−37.5014	+	22.4775i	−1.50731	+	0.903446i	−0.999109	+	0.0422077i	$0.986561\pi$
$620$	−5.59046	+	24.0102i	−0.224518	+	0.964273i
$621$	−9.05215	+	9.98751i	−0.363250	+	0.400785i
$622$	−31.8931	−	31.3656i	−1.27880	−	1.25765i
$623$	−2.39857	−	12.0584i	−0.0960965	−	0.483110i
$624$	−50.8271	−	25.0255i	−2.03471	−	1.00182i
$625$	5.74797	−	28.8970i	0.229919	−	1.15588i
$626$	−1.29767	−	1.90748i	−0.0518654	−	0.0762383i
$627$	4.72666	+	1.69122i	0.188764	+	0.0675410i
$628$	26.8746	+	9.11329i	1.07241	+	0.363660i
$629$	6.92204	+	46.6646i	0.276000	+	1.86064i
$630$	−7.56591	+	54.1099i	−0.301433	+	2.15579i
$631$	−7.06102	−	13.2102i	−0.281095	−	0.525891i	0.701263	−	0.712903i	$-0.252620\pi$
$631$	−7.06102	−	13.2102i	−0.281095	−	0.525891i	−0.982358	+	0.187012i	$0.940120\pi$
$632$	−7.20802	+	6.22359i	−0.286720	+	0.247561i
$633$	−12.9567	+	3.93038i	−0.514984	+	0.156219i
$634$	8.26525	−	5.04815i	0.328255	−	0.200488i
$635$	−23.7225	+	50.1570i	−0.941398	+	1.99042i
$636$	−34.4798	+	7.45823i	−1.36721	+	0.295738i
$637$	−6.26884	−	25.0266i	−0.248381	−	0.991591i
$638$	−8.75846	−	28.0293i	−0.346751	−	1.10969i
$639$		−	44.2260i		−	1.74955i
$640$	26.1946	+	21.0937i	1.03543	+	0.833802i
$641$		−	39.6906i		−	1.56769i	−0.620960	−	0.783843i	$-0.713257\pi$
$641$		−	39.6906i		−	1.56769i	0.620960	−	0.783843i	$-0.286743\pi$
$642$	12.7449	−	3.98246i	0.503000	−	0.157175i
$643$	−3.03634	−	12.1217i	−0.119741	−	0.478034i	−0.999994	−	0.00352866i	$-0.998877\pi$
$643$	−3.03634	−	12.1217i	−0.119741	−	0.478034i	0.880252	−	0.474506i	$-0.157373\pi$
$644$	−24.2508	+	37.6378i	−0.955615	+	1.48314i
$645$	2.05232	−	4.33927i	0.0808100	−	0.170858i
$646$	2.98501	+	4.88732i	0.117444	+	0.192289i
$647$	−11.7553	+	3.56592i	−0.462147	+	0.140191i	−0.512768	−	0.858527i	$-0.671380\pi$
$647$	−11.7553	+	3.56592i	−0.462147	+	0.140191i	0.0506210	+	0.998718i	$0.483880\pi$
$648$	15.1555	+	7.61972i	0.595365	+	0.299331i
$649$	5.48170	+	10.2555i	0.215176	+	0.402565i
$650$	29.2045	+	4.08352i	1.14549	+	0.160169i
$651$	−5.43458	−	36.6370i	−0.212998	−	1.43592i
$652$	8.59599	+	17.4172i	0.336645	+	0.682109i
$653$	22.6312	+	8.09756i	0.885626	+	0.316882i	0.740119	−	0.672475i	$-0.234769\pi$
$653$	22.6312	+	8.09756i	0.885626	+	0.316882i	0.145506	+	0.989357i	$0.453519\pi$
$654$	18.7487	−	12.7549i	0.733131	−	0.498754i
$655$	−3.40960	+	17.1412i	−0.133224	+	0.669764i
$656$	17.2584	+	29.8492i	0.673828	+	1.16542i
$657$	0.933284	+	4.69194i	0.0364109	+	0.183050i
$658$	3.34105	−	3.39724i	0.130248	−	0.132438i
$659$	11.9610	−	13.1969i	0.465934	−	0.514079i	−0.461971	−	0.886895i	$-0.652858\pi$
$659$	11.9610	−	13.1969i	0.465934	−	0.514079i	0.927905	+	0.372816i	$0.121608\pi$
$660$	−19.2525	−	30.9389i	−0.749402	−	1.20429i
$661$	6.94703	−	4.16389i	0.270208	−	0.161957i	−0.372581	−	0.928000i	$-0.621527\pi$
$661$	6.94703	−	4.16389i	0.270208	−	0.161957i	0.642789	+	0.766043i	$0.277777\pi$
$662$	−15.0155	−	31.0746i	−0.583594	−	1.20775i
$663$	6.86368	+	69.6881i	0.266563	+	2.70646i
$664$	23.8995	−	4.15854i	0.927482	−	0.161383i
$665$	−6.45076	+	5.29400i	−0.250150	+	0.205293i
$666$	2.08448	−	51.1252i	0.0807718	−	1.98106i
$667$	38.7285	+	42.7303i	1.49957	+	1.65452i
$668$	11.9663	+	21.5164i	0.462989	+	0.832496i
$669$	20.0583	−	14.8763i	0.775499	−	0.575149i
$670$	−1.39244	−	13.0235i	−0.0537948	−	0.503144i
$671$	8.39542	−	20.2683i	0.324102	−	0.782450i
$672$	−48.2430	−	15.0250i	−1.86101	−	0.579601i
$673$	8.58420	+	20.7241i	0.330897	+	0.798855i	0.998522	+	0.0543572i	$0.0173110\pi$
$673$	8.58420	+	20.7241i	0.330897	+	0.798855i	−0.667625	+	0.744498i	$0.732689\pi$
$674$	26.3642	−	14.3758i	1.01551	−	0.553737i
$675$	7.83209	+	1.16178i	0.301457	+	0.0447170i
$676$	2.69235	−	32.9622i	0.103552	−	1.26778i
$677$	4.86449	+	0.238977i	0.186958	+	0.00918464i	0.142331	−	0.989819i	$-0.454540\pi$
$677$	4.86449	+	0.238977i	0.186958	+	0.00918464i	0.0446265	+	0.999004i	$0.485790\pi$
$678$	18.1015	−	39.1129i	0.695184	−	1.50212i
$679$	−41.4570	−	4.08316i	−1.59097	−	0.156697i
$680$	5.06917	−	41.2594i	0.194394	−	1.58223i
$681$	−44.8592	−	36.8150i	−1.71901	−	1.41075i
$682$	10.2956	+	9.17617i	0.394238	+	0.351374i
$683$	−20.1565	−	5.04893i	−0.771266	−	0.193192i	−0.162679	−	0.986679i	$-0.552013\pi$
$683$	−20.1565	−	5.04893i	−0.771266	−	0.193192i	−0.608587	+	0.793487i	$0.708263\pi$
$684$	−2.18981	−	5.81265i	−0.0837294	−	0.222252i
$685$	−2.23951	−	45.5862i	−0.0855672	−	1.74176i
$686$	4.26264	+	10.0530i	0.162748	+	0.383826i
$687$	41.4860	−	62.0882i	1.58279	−	2.36881i
$688$	2.03880	+	1.40918i	0.0777285	+	0.0537246i
$689$	−20.4355	−	30.5838i	−0.778529	−	1.16515i
$690$	59.8311	+	39.2602i	2.27773	+	1.49461i
$691$	3.48746	+	7.37362i	0.132669	+	0.280506i	0.959378	−	0.282125i	$-0.0910393\pi$
$691$	3.48746	+	7.37362i	0.132669	+	0.280506i	−0.826708	+	0.562631i	$0.809789\pi$
$692$	21.2772	−	16.3372i	0.808839	−	0.621047i
$693$	24.5502	+	18.2077i	0.932585	+	0.691652i
$694$	28.8922	+	16.9915i	1.09673	+	0.644988i
$695$	3.58087	−	11.8045i	0.135830	−	0.447771i
$696$	−34.7927	+	55.0009i	−1.31881	+	2.08480i
$697$	20.0896	−	37.5850i	0.760947	−	1.42363i
$698$	−1.32135	−	0.963009i	−0.0500139	−	0.0364504i
$699$	4.67374	−	1.67229i	0.176777	−	0.0632519i
$700$	26.2967	−	0.438562i	0.993921	−	0.0165761i
$701$	−16.8589	−	10.1048i	−0.636750	−	0.381654i	0.159000	−	0.987279i	$-0.449173\pi$
$701$	−16.8589	−	10.1048i	−0.636750	−	0.381654i	−0.795750	+	0.605625i	$0.792923\pi$
$702$	1.42299	−	15.7971i	0.0537072	−	0.596222i
$703$	5.52618	−	5.52618i	0.208424	−	0.208424i
$704$	17.3757	−	7.21642i	0.654873	−	0.271979i
$705$	−5.38509	−	5.38509i	−0.202814	−	0.202814i
$706$	−4.23751	+	3.53717i	−0.159481	+	0.133123i
$707$	−7.37940	+	12.3118i	−0.277531	+	0.463032i
$708$	9.46405	−	23.9712i	0.355681	−	0.900894i
$709$	3.57661	+	9.99596i	0.134322	+	0.375406i	0.989806	−	0.142424i	$-0.0454898\pi$
$709$	3.57661	+	9.99596i	0.134322	+	0.375406i	−0.855483	+	0.517830i	$0.826740\pi$
$710$	−48.4405	+	7.59877i	−1.81794	+	0.285177i
$711$	−11.2593	−	6.01824i	−0.422258	−	0.225702i
$712$	−0.253763	−	10.1428i	−0.00951018	−	0.380117i
$713$	−25.9176	−	7.86203i	−0.970623	−	0.294435i
$714$	15.6798	+	60.4540i	0.586800	+	2.26243i
$715$	22.6338	−	30.5181i	0.846455	−	1.14131i
$716$	−8.71008	+	15.0972i	−0.325511	+	0.564210i
$717$	−36.1670	+	17.1057i	−1.35068	+	0.638825i
$718$	19.1447	−	3.97433i	0.714472	−	0.148321i
$719$	−32.7219	+	21.8641i	−1.22032	+	0.815393i	−0.987576	−	0.157144i	$-0.949771\pi$
$719$	−32.7219	+	21.8641i	−1.22032	+	0.815393i	−0.232746	+	0.972537i	$0.574771\pi$
$720$	−13.7656	+	42.9350i	−0.513012	+	1.60009i
$721$	4.58262	+	3.06201i	0.170666	+	0.114035i
$722$	−9.71964	+	24.0301i	−0.361728	+	0.894307i
$723$	41.3568	−	2.03173i	1.53808	−	0.0755609i
$724$	0.231606	−	7.14330i	0.00860757	−	0.265479i
$725$	8.23103	−	32.8601i	0.305693	−	1.22039i
$726$	20.1228	−	1.15683i	0.746829	−	0.0429341i
$727$	3.27154	−	3.98638i	0.121335	−	0.147847i	−0.708800	−	0.705409i	$-0.750763\pi$
$727$	3.27154	−	3.98638i	0.121335	−	0.147847i	0.830135	+	0.557562i	$0.188263\pi$
$728$	−3.90047	−	52.5406i	−0.144561	−	1.94728i
$729$	−3.81049	+	38.6886i	−0.141129	+	1.43291i
$730$	4.97870	−	1.82837i	0.184270	−	0.0676711i
$731$	0.150312	−	3.05967i	0.00555948	−	0.113166i
$732$	−46.2851	+	14.8877i	−1.71075	+	0.550264i
$733$	−5.70791	+	38.4796i	−0.210827	+	1.42128i	0.582673	+	0.812707i	$0.302007\pi$
$733$	−5.70791	+	38.4796i	−0.210827	+	1.42128i	−0.793500	+	0.608571i	$0.791743\pi$
$734$	3.65969	−	12.4368i	0.135082	−	0.459049i
$735$	−33.9779	+	14.0741i	−1.25329	+	0.519131i
$736$	−25.0152	+	27.1931i	−0.922074	+	1.00235i
$737$	−6.76954	−	2.80403i	−0.249359	−	0.103288i
$738$	−29.0252	+	35.9748i	−1.06843	+	1.32425i
$739$	−16.5552	−	22.3221i	−0.608993	−	0.821132i	0.385850	−	0.922562i	$-0.373908\pi$
$739$	−16.5552	−	22.3221i	−0.608993	−	0.821132i	−0.994843	+	0.101429i	$0.967658\pi$
$740$	−56.3553	+	6.50105i	−2.07166	+	0.238983i
$741$	8.59550	−	7.79051i	0.315764	−	0.286191i
$742$	−22.2330	−	24.1231i	−0.816201	−	0.885586i
$743$	8.01883	+	9.77097i	0.294182	+	0.358462i	0.899036	−	0.437874i	$-0.144269\pi$
$743$	8.01883	+	9.77097i	0.294182	+	0.358462i	−0.604854	+	0.796336i	$0.706769\pi$
$744$	0.735734	−	30.5560i	0.0269733	−	1.12024i
$745$	43.7885	−	4.31279i	1.60429	−	0.158008i
$746$	−13.7584	+	39.4872i	−0.503732	+	1.44573i
$747$	16.7195	+	27.8948i	0.611734	+	1.02062i
$748$	−18.9073	−	13.5398i	−0.691318	−	0.495064i
$749$	9.20056	+	8.33890i	0.336181	+	0.304697i
$750$	0.106263	+	12.7442i	0.00388018	+	0.465353i
$751$	−23.4028	+	4.65511i	−0.853980	+	0.169867i	−0.602622	−	0.798027i	$-0.705877\pi$
$751$	−23.4028	+	4.65511i	−0.853980	+	0.169867i	−0.251358	+	0.967894i	$0.580877\pi$
$752$	3.19478	−	2.29238i	0.116502	−	0.0835944i
$753$	60.2445	+	11.9834i	2.19543	+	0.436699i
$754$	−66.6636	−	12.6833i	−2.42775	−	0.461900i
$755$	9.14499	−	25.5585i	0.332820	−	0.930170i
$756$	−0.929627	−	14.1156i	−0.0338102	−	0.513379i
$757$	9.84954	−	1.46104i	0.357988	−	0.0531025i	0.0346856	−	0.999398i	$-0.488957\pi$
$757$	9.84954	−	1.46104i	0.357988	−	0.0531025i	0.323302	+	0.946296i	$0.395207\pi$
$758$	7.41264	−	5.59399i	0.269239	−	0.203183i
$759$	35.3068	−	18.8719i	1.28156	−	0.685006i
$760$	−5.99032	+	3.39719i	−0.217292	+	0.123229i
$761$	−2.68348	−	8.84625i	−0.0972761	−	0.320676i	0.894774	−	0.446519i	$-0.147337\pi$
$761$	−2.68348	−	8.84625i	−0.0972761	−	0.320676i	−0.992050	+	0.125843i	$0.959837\pi$
$762$	16.1579	−	66.8664i	0.585338	−	2.42231i
$763$	19.0628	+	9.01605i	0.690121	+	0.326403i
$764$	25.8363	+	4.69270i	0.934724	+	0.169776i
$765$	54.0591	−	13.5411i	1.95451	−	0.489580i
$766$	−18.8504	+	35.9852i	−0.681094	+	1.30020i
$767$	26.8718			0.970285
$768$	−37.1148	−	19.0054i	−1.33927	−	0.685799i
$769$	−25.0829			−0.904514			−0.452257	−	0.891888i	$-0.649381\pi$
$769$	−25.0829			−0.904514			−0.452257	+	0.891888i	$0.649381\pi$
$770$	15.7246	−	30.0181i	0.566676	−	1.08178i
$771$	21.6383	−	5.42012i	0.779285	−	0.195201i
$772$	3.03176	−	16.6917i	0.109115	−	0.600748i
$773$	4.05509	+	1.91791i	0.145851	+	0.0689826i	0.499087	−	0.866552i	$-0.333669\pi$
$773$	4.05509	+	1.91791i	0.145851	+	0.0689826i	−0.353236	+	0.935534i	$0.614919\pi$
$774$	−0.780427	+	3.22965i	−0.0280519	+	0.116088i
$775$	4.61818	+	15.2241i	0.165890	+	0.546866i
$776$	−33.1363	−	9.15327i	−1.18952	−	0.328583i
$777$	75.1659	−	40.1770i	2.69656	−	1.44134i
$778$	1.80879	−	1.36501i	0.0648481	−	0.0489380i
$779$	−6.98369	+	1.03593i	−0.250217	+	0.0371161i
$780$	−84.0246	+	5.53371i	−3.00856	+	0.198139i
$781$	−9.24105	+	25.8270i	−0.330671	+	0.924163i
$782$	44.8648	+	8.53591i	1.60436	+	0.305244i
$783$	−17.8704	−	3.55464i	−0.638636	−	0.127033i
$784$	−4.32353	−	18.4902i	−0.154412	−	0.660364i
$785$	41.3683	−	8.22866i	1.47650	−	0.293694i
$786$	−0.180670	−	21.6679i	−0.00644428	−	0.772867i
$787$	1.29113	+	1.17021i	0.0460237	+	0.0417135i	0.694247	−	0.719737i	$-0.255738\pi$
$787$	1.29113	+	1.17021i	0.0460237	+	0.0417135i	−0.648223	+	0.761450i	$0.724488\pi$
$788$	−13.6612	+	19.0768i	−0.486660	+	0.679583i
$789$	−9.24375	−	15.4223i	−0.329086	−	0.549047i
$790$	−4.65720	+	13.3663i	−0.165696	+	0.475552i
$791$	39.8864	−	3.92847i	1.41820	−	0.139680i
$792$	17.4012	+	18.2598i	0.618324	+	0.648835i
$793$	−32.1610	−	39.1883i	−1.14207	−	1.39162i
$794$	−11.5505	−	12.5324i	−0.409910	−	0.444757i
$795$	−38.8508	+	35.2123i	−1.37790	+	1.24885i
$796$	−2.91023	−	25.2277i	−0.103150	−	0.894173i
$797$	21.1768	+	28.5537i	0.750122	+	1.01142i	0.999079	+	0.0429083i	$0.0136623\pi$
$797$	21.1768	+	28.5537i	0.750122	+	1.01142i	−0.248957	+	0.968515i	$0.580088\pi$
$798$	6.49676	−	8.05231i	0.229983	−	0.285049i
$799$	−4.49022	−	1.85991i	−0.158853	−	0.0657989i
$800$	21.4449	+	3.34336i	0.758191	+	0.118206i
$801$	12.5665	−	5.20523i	0.444016	−	0.183918i
$802$	10.4858	−	35.6341i	0.370268	−	1.25828i
$803$	0.435366	−	2.93500i	0.0153637	−	0.103574i
$804$	4.97242	+	15.4590i	0.175364	+	0.545198i
$805$	−3.26540	+	66.4688i	−0.115090	+	2.34272i
$806$	29.9159	−	10.9863i	1.05374	−	0.386976i
$807$	5.27920	−	53.6007i	0.185837	−	1.88683i
$808$	−7.73285	+	8.97304i	−0.272041	+	0.315671i
$809$	−30.7934	+	37.5219i	−1.08264	+	1.31920i	−0.138240	+	0.990399i	$0.544145\pi$
$809$	−30.7934	+	37.5219i	−1.08264	+	1.31920i	−0.944399	+	0.328801i	$0.893355\pi$
$810$	25.1714	−	1.44707i	0.884433	−	0.0508448i
$811$	−11.2943	+	45.0894i	−0.396597	+	1.58330i	0.362280	+	0.932069i	$0.381998\pi$
$811$	−11.2943	+	45.0894i	−0.396597	+	1.58330i	−0.758877	+	0.651234i	$0.774252\pi$
$812$	−60.4908	−	1.96128i	−2.12281	−	0.0688275i
$813$	−12.1372	+	0.596263i	−0.425671	+	0.0209119i
$814$	−11.8999	+	29.4204i	−0.417092	+	1.03119i
$815$	24.0036	+	16.0387i	0.840810	+	0.561811i
$816$	4.24406	+	51.3644i	0.148572	+	1.79811i
$817$	−0.421959	+	0.281944i	−0.0147625	+	0.00986398i
$818$	−24.8426	+	5.15720i	−0.868602	+	0.180317i
$819$	63.8497	−	30.1987i	2.23109	−	1.05523i
$820$	44.3900	+	25.6100i	1.55017	+	0.894341i
$821$	15.0952	−	20.3536i	0.526827	−	0.710344i	−0.457000	−	0.889467i	$-0.651076\pi$
$821$	15.0952	−	20.3536i	0.526827	−	0.710344i	0.983827	+	0.179123i	$0.0573259\pi$
$822$	14.2068	+	54.7750i	0.495520	+	1.91050i
$823$	−12.1590	−	3.68840i	−0.423837	−	0.128570i	0.0711586	−	0.997465i	$-0.477330\pi$
$823$	−12.1590	−	3.68840i	−0.423837	−	0.128570i	−0.494996	+	0.868895i	$0.664830\pi$
$824$	3.29553	+	3.13466i	0.114805	+	0.109201i
$825$	−20.7393	−	11.0854i	−0.722051	−	0.385944i
$826$	23.6769	−	3.71416i	0.823826	−	0.129232i
$827$	−12.9393	−	36.1628i	−0.449943	−	1.25751i	−0.925810	−	0.377988i	$-0.876616\pi$
$827$	−12.9393	−	36.1628i	−0.449943	−	1.25751i	0.475868	−	0.879517i	$-0.342134\pi$
$828$	−46.0738	−	18.1903i	−1.60117	−	0.632157i
$829$	2.46666	−	4.11537i	0.0856705	−	0.142933i	−0.811911	−	0.583781i	$-0.801572\pi$
$829$	2.46666	−	4.11537i	0.0856705	−	0.142933i	0.897581	+	0.440849i	$0.145322\pi$
$830$	27.6803	−	23.1055i	0.960797	−	0.802005i
$831$	41.7582	+	41.7582i	1.44858	+	1.44858i
$832$	4.22086	−	43.2723i	0.146332	−	1.50020i
$833$	−16.5963	+	16.5963i	−0.575027	+	0.575027i
$834$	−1.37214	+	15.2325i	−0.0475132	+	0.527459i
$835$	31.3874	+	18.8129i	1.08621	+	0.651048i
$836$	0.0642419	+	3.85202i	0.00222185	+	0.133225i
$837$	8.05684	−	2.88278i	0.278485	−	0.0996436i
$838$	4.97743	+	3.62758i	0.171942	+	0.125313i
$839$	−17.7443	+	33.1972i	−0.612600	+	1.14609i	0.364075	+	0.931370i	$0.381385\pi$
$839$	−17.7443	+	33.1972i	−0.612600	+	1.14609i	−0.976675	+	0.214724i	$0.931115\pi$
$840$	−73.2697	+	16.4895i	−2.52805	+	0.568941i
$841$	−14.2106	+	46.8462i	−0.490022	+	1.61539i
$842$	−6.43734	−	3.78580i	−0.221846	−	0.130467i
$843$	19.1787	+	14.2239i	0.660549	+	0.489896i
$844$	−6.32807	−	8.24155i	−0.217821	−	0.283686i
$845$	−21.0169	−	44.4365i	−0.723003	−	1.52866i
$846$	4.40736	+	2.89204i	0.151528	+	0.0994304i
$847$	10.4137	+	15.5851i	0.357818	+	0.535512i
$848$	−14.6847	−	22.7439i	−0.504274	−	0.781029i
$849$	41.4697	−	62.0638i	1.42324	−	2.13002i
$850$	−10.4723	−	24.6980i	−0.359198	−	0.847133i
$851$	−3.05810	−	62.2490i	−0.104830	−	2.13387i
$852$	56.8894	−	21.4320i	1.94900	−	0.734248i
$853$	18.0129	+	4.51199i	0.616749	+	0.154488i	0.538750	−	0.842466i	$-0.318897\pi$
$853$	18.0129	+	4.51199i	0.616749	+	0.154488i	0.0779992	+	0.996953i	$0.475147\pi$
$854$	−33.7538	−	30.0838i	−1.15503	−	1.02945i
$855$	−7.13666	−	5.85691i	−0.244069	−	0.200302i
$856$	6.30815	+	8.07531i	0.215608	+	0.276009i
$857$	18.9479	+	1.86620i	0.647247	+	0.0637483i	0.416313	−	0.909221i	$-0.363322\pi$
$857$	18.9479	+	1.86620i	0.647247	+	0.0637483i	0.230934	+	0.972969i	$0.425822\pi$
$858$	−19.7854	+	42.7514i	−0.675462	+	1.45951i
$859$	−13.9962	−	0.687588i	−0.477543	−	0.0234602i	−0.191127	−	0.981565i	$-0.561214\pi$
$859$	−13.9962	−	0.687588i	−0.477543	−	0.0234602i	−0.286417	+	0.958105i	$0.592464\pi$
$860$	3.67151	+	0.299888i	0.125197	+	0.0102261i
$861$	−76.1615	−	11.2975i	−2.59558	−	0.385017i
$862$	4.16056	−	2.26867i	0.141709	−	0.0772711i
$863$	6.81327	+	16.4487i	0.231926	+	0.559920i	0.996404	−	0.0847304i	$-0.0270029\pi$
$863$	6.81327	+	16.4487i	0.231926	+	0.559920i	−0.764477	+	0.644651i	$0.777003\pi$
$864$	1.23015	−	11.6089i	0.0418506	−	0.394943i
$865$	15.2584	−	36.8370i	0.518801	−	1.25250i
$866$	−3.90353	−	36.5098i	−0.132647	−	1.24065i
$867$	15.5819	−	11.5563i	0.529190	−	0.392474i
$868$	24.8406	−	13.8150i	0.843145	−	0.468912i
$869$	5.31769	+	5.86717i	0.180390	+	0.199030i
$870$	−3.94073	+	96.6528i	−0.133603	+	3.27684i
$871$	−13.0887	+	10.7416i	−0.443495	+	0.363967i
$872$	14.2324	+	10.0136i	0.481970	+	0.339102i
$873$	−4.51731	−	45.8650i	−0.152888	−	1.55230i
$874$	−3.29170	−	6.81217i	−0.111343	−	0.230425i
$875$	−10.1657	+	6.09308i	−0.343663	+	0.205984i
$876$	−5.58312	+	3.47423i	−0.188636	+	0.117384i
$877$	−15.5849	+	17.1953i	−0.526265	+	0.580644i	−0.944837	−	0.327540i	$-0.893781\pi$
$877$	−15.5849	+	17.1953i	−0.526265	+	0.580644i	0.418573	+	0.908183i	$0.362531\pi$
$878$	18.1630	−	18.4684i	0.612971	−	0.623279i
$879$	−3.46046	−	17.3969i	−0.116719	−	0.586784i
$880$	17.0101	−	22.1967i	0.573409	−	0.748252i
$881$	−3.19200	+	16.0472i	−0.107541	+	0.540645i	0.889026	+	0.457857i	$0.151383\pi$
$881$	−3.19200	+	16.0472i	−0.107541	+	0.540645i	−0.996567	+	0.0827888i	$0.973617\pi$
$882$	21.0481	−	14.3192i	0.708726	−	0.482151i
$883$	−7.01040	−	2.50836i	−0.235919	−	0.0844130i	0.216276	−	0.976332i	$-0.430609\pi$
$883$	−7.01040	−	2.50836i	−0.235919	−	0.0844130i	−0.452195	+	0.891919i	$0.649359\pi$
$884$	−48.1897	+	23.7833i	−1.62080	+	0.799920i
$885$	−5.62059	−	37.8910i	−0.188934	−	1.27369i
$886$	56.7249	+	7.93155i	1.90571	+	0.266466i
$887$	8.07394	+	15.1053i	0.271096	+	0.507186i	0.980223	−	0.197895i	$-0.0634106\pi$
$887$	8.07394	+	15.1053i	0.271096	+	0.507186i	−0.709127	+	0.705081i	$0.750911\pi$
$888$	66.7741	−	22.0940i	2.24079	−	0.741427i
$889$	61.2173	−	18.5701i	2.05316	−	0.622820i
$890$	−7.86039	−	12.8697i	−0.263481	−	0.431393i
$891$	6.03062	−	12.7507i	0.202033	−	0.427164i
$892$	16.1102	+	10.3801i	0.539409	+	0.347553i
$893$	0.195636	+	0.781024i	0.00654672	+	0.0261360i
$894$	−52.0702	+	16.2706i	−1.74149	+	0.544172i
$895$			25.9062i			0.865950i
$896$	−2.26195	−	38.7108i	−0.0755666	−	1.29324i
$897$		−	92.5118i		−	3.08888i
$898$	4.89604	+	15.6686i	0.163383	+	0.522867i
$899$	−8.89558	−	35.5131i	−0.296684	−	1.18443i
$900$	6.15159	+	28.4391i	0.205053	+	0.947970i
$901$	−14.3069	+	30.2495i	−0.476634	+	1.00776i
$902$	24.4670	−	14.9437i	0.814662	−	0.497569i
$903$	−5.29614	+	1.60657i	−0.176244	+	0.0534632i
$904$	32.9864	+	2.41763i	1.09711	+	0.0804092i
$905$	−5.00760	−	9.36857i	−0.166458	−	0.311422i
$906$	−4.66056	+	33.3314i	−0.154837	+	1.10736i
$907$	−5.24373	−	35.3504i	−0.174115	−	1.17379i	−0.883314	−	0.468782i	$-0.844693\pi$
$907$	−5.24373	−	35.3504i	−0.174115	−	1.17379i	0.709199	−	0.705008i	$-0.249057\pi$
$908$	14.3021	−	42.1760i	0.474632	−	1.39966i
$909$	−14.9519	−	5.34987i	−0.495922	−	0.177444i
$910$	−44.0468	−	64.7455i	−1.46014	−	2.14629i
$911$	−0.218318	+	1.09756i	−0.00723320	+	0.0363637i	−0.984233	−	0.176875i	$-0.943401\pi$
$911$	−0.218318	+	1.09756i	−0.00723320	+	0.0363637i	0.977000	+	0.213239i	$0.0684012\pi$
$912$	6.41582	−	5.63364i	0.212449	−	0.186549i
$913$	−3.93518	−	19.7835i	−0.130235	−	0.654738i
$914$	27.6734	+	27.2158i	0.915356	+	0.900217i
$915$	−48.5311	+	53.5458i	−1.60439	+	1.77017i
$916$	55.8129	+	12.9953i	1.84411	+	0.429377i
$917$	17.2838	−	10.3595i	0.570762	−	0.342102i
$918$	−12.9919	+	6.27780i	−0.428797	+	0.207198i
$919$	1.66545	+	16.9095i	0.0549380	+	0.557795i	0.982775	+	0.184808i	$0.0591663\pi$
$919$	1.66545	+	16.9095i	0.0549380	+	0.557795i	−0.927837	+	0.372987i	$0.878334\pi$
$920$	−12.0075	+	53.5897i	−0.395876	+	1.76680i
$921$	−44.4380	+	36.4693i	−1.46428	+	1.20170i
$922$	3.05620	+	0.124607i	0.100651	+	0.00410372i
$923$	42.5682	+	46.9668i	1.40115	+	1.54593i
$924$	−11.5240	+	40.4032i	−0.379113	+	1.32917i
$925$	−29.4049	+	21.8082i	−0.966828	+	0.717048i
$926$	−10.5817	+	1.13136i	−0.347735	+	0.0371789i
$927$	−2.33341	+	5.63335i	−0.0766393	+	0.185024i
$928$	−48.9122	−	10.1060i	−1.60562	−	0.331744i
$929$	−2.72520	−	6.57922i	−0.0894110	−	0.215857i	0.872848	−	0.487992i	$-0.162270\pi$
$929$	−2.72520	−	6.57922i	−0.0894110	−	0.215857i	−0.962259	+	0.272135i	$0.912270\pi$
$930$	−21.7487	−	39.8854i	−0.713168	−	1.30789i
$931$	3.84615	+	0.570522i	0.126052	+	0.0186981i
$932$	2.46544	+	2.90402i	0.0807583	+	0.0951244i
$933$	82.3334	+	4.04478i	2.69548	+	0.132420i
$934$	29.2513	+	13.5375i	0.957130	+	0.442961i
$935$	−34.3987	−	3.38798i	−1.12496	−	0.110799i
$936$	56.1684	−	15.5723i	1.83592	−	0.508998i
$937$	−8.46444	−	6.94659i	−0.276521	−	0.226935i	0.485903	−	0.874013i	$-0.338491\pi$
$937$	−8.46444	−	6.94659i	−0.276521	−	0.226935i	−0.762424	+	0.647078i	$0.775991\pi$
$938$	−10.0479	+	11.2736i	−0.328075	+	0.368097i
$939$	4.12402	+	1.03301i	0.134582	+	0.0337111i
$940$	2.41038	−	5.32425i	0.0786178	−	0.173658i
$941$	−0.488874	−	9.95127i	−0.0159369	−	0.324402i	−0.993505	−	0.113785i	$-0.963703\pi$
$941$	−0.488874	−	9.95127i	−0.0159369	−	0.324402i	0.977569	−	0.210617i	$-0.0675474\pi$
$942$	−48.1453	+	20.4144i	−1.56866	+	0.665137i
$943$	−31.2799	+	46.8137i	−1.01861	+	1.52446i
$944$	19.7755	+	0.311205i	0.643638	+	0.0101288i
$945$	−11.6814	−	17.4824i	−0.379995	−	0.568703i
$946$	1.13059	−	1.72298i	0.0367587	−	0.0560188i
$947$	18.0513	+	38.1663i	0.586588	+	1.24024i	0.951055	+	0.309021i	$0.100001\pi$
$947$	18.0513	+	38.1663i	0.586588	+	1.24024i	−0.364467	+	0.931216i	$0.618749\pi$
$948$	2.28517	−	17.3997i	0.0742188	−	0.565116i
$949$	−5.50719	−	4.08441i	−0.178771	−	0.132586i
$950$	−2.25289	+	3.83080i	−0.0730936	+	0.124288i
$951$	−5.18085	+	17.0790i	−0.168000	+	0.553823i
$952$	−39.1730	+	27.6163i	−1.26960	+	0.895049i
$953$	−12.7998	+	23.9468i	−0.414628	+	0.775714i	−0.999369	−	0.0355058i	$-0.988696\pi$
$953$	−12.7998	+	23.9468i	−0.414628	+	0.775714i	0.584742	+	0.811219i	$0.301196\pi$
$954$	21.3766	−	29.3310i	0.692093	−	0.949626i
$955$	36.7481	−	13.1487i	1.18914	−	0.425481i
$956$	−22.0695	−	21.3455i	−0.713779	−	0.690362i
$957$	46.4164	+	27.8209i	1.50043	+	0.899322i
$958$	−30.3209	−	2.73129i	−0.979625	−	0.0882439i
$959$	−37.2103	+	37.2103i	−1.20158	+	1.20158i
$960$	−61.8995	+	3.09927i	−1.99780	+	0.100029i
$961$	−9.76259	−	9.76259i	−0.314922	−	0.314922i
$962$	46.9952	+	56.2999i	1.51519	+	1.81518i
$963$	−7.06250	+	11.7831i	−0.227586	+	0.379704i
$964$	12.6482	+	29.1508i	0.407371	+	0.938885i
$965$	−8.49481	−	23.7414i	−0.273458	−	0.764263i
$966$	−12.7867	−	81.5127i	−0.411407	−	2.62263i
$967$	−27.8592	−	14.8911i	−0.895892	−	0.478864i	−0.0418830	−	0.999123i	$-0.513336\pi$
$967$	−27.8592	−	14.8911i	−0.895892	−	0.478864i	−0.854009	+	0.520258i	$0.825836\pi$
$968$	6.27503	+	14.1383i	0.201687	+	0.454422i
$969$	−10.0989	−	3.06348i	−0.324425	−	0.0984131i
$970$	−49.4595	+	12.8282i	−1.58805	+	0.411887i
$971$	−0.456975	+	0.616159i	−0.0146650	+	0.0197735i	−0.810479	−	0.585767i	$-0.800793\pi$
$971$	−0.456975	+	0.616159i	−0.0146650	+	0.0197735i	0.795814	+	0.605541i	$0.207043\pi$
$972$	−42.1513	+	11.3086i	−1.35200	+	0.362722i
$973$	−12.8573	+	6.08104i	−0.412185	+	0.194949i
$974$	−12.1008	−	58.2903i	−0.387733	−	1.86774i
$975$	−45.1835	+	30.1907i	−1.44703	+	0.966875i
$976$	−23.2141	−	29.2119i	−0.743064	−	0.935050i
$977$	−25.9171	−	17.3173i	−0.829162	−	0.554028i	0.0670011	−	0.997753i	$-0.478657\pi$
$977$	−25.9171	−	17.3173i	−0.829162	−	0.554028i	−0.896163	+	0.443724i	$0.853657\pi$
$978$	−33.1811	−	13.4210i	−1.06101	−	0.429158i
$979$	−8.42621	+	0.413953i	−0.269303	+	0.0132300i
$980$	−19.3001	−	20.5936i	−0.616519	−	0.657837i
$981$	−5.66864	+	22.6305i	−0.180986	+	0.722536i
$982$	0.669378	+	11.6437i	0.0213607	+	0.371564i
$983$	−5.84962	+	7.12778i	−0.186574	+	0.227341i	−0.857894	−	0.513827i	$-0.828227\pi$
$983$	−5.84962	+	7.12778i	−0.186574	+	0.227341i	0.671320	+	0.741167i	$0.265727\pi$
$984$	−60.3412	−	19.9026i	−1.92361	−	0.634471i
$985$	−3.41836	+	34.7072i	−0.108918	+	1.10586i
$986$	21.2812	+	57.9492i	0.677733	+	1.84548i
$987$	−0.430849	+	8.77013i	−0.0137141	+	0.279156i
$988$	7.92029	+	4.06515i	0.251978	+	0.129330i
$989$	−0.593827	+	4.00326i	−0.0188826	+	0.127296i
$990$	35.9656	+	10.5834i	1.14306	+	0.336362i
$991$	30.5063	−	12.6361i	0.969064	−	0.401400i	0.158701	−	0.987327i	$-0.449270\pi$
$991$	30.5063	−	12.6361i	0.969064	−	0.401400i	0.810364	+	0.585927i	$0.199270\pi$
$992$	22.1429	−	7.73858i	0.703039	−	0.245700i
$993$	58.7581	+	24.3384i	1.86463	+	0.772356i
$994$	43.9988	+	35.4991i	1.39556	+	1.12596i
$995$	−22.4850	−	30.3175i	−0.712821	−	0.961128i
$996$	−27.7797	+	35.0247i	−0.880233	+	1.10980i
$997$	−16.3849	+	14.8504i	−0.518916	+	0.470318i	−0.888498	−	0.458880i	$-0.848251\pi$
$997$	−16.3849	+	14.8504i	−0.518916	+	0.470318i	0.369582	+	0.929198i	$0.379501\pi$
$998$	1.32681	−	1.22285i	0.0419994	−	0.0387088i
$999$	12.4919	+	15.2214i	0.395226	+	0.481584i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	256.2.m.a.101.7	✓	992
256.109	even	64	inner	256.2.m.a.109.7	yes	992

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
256.2.m.a.101.7	✓	992	1.1	even	1	trivial
256.2.m.a.109.7	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)

\(f(q)\)	\(=\)	\(q+(-1.25274 - 0.656233i) q^{2} +(2.52802 - 0.633235i) q^{3} +(1.13872 + 1.64418i) q^{4} +(2.68726 + 1.27098i) q^{5} +(-3.58250 - 0.865690i) q^{6} +(-0.994929 - 3.27984i) q^{7} +(-0.347549 - 2.80699i) q^{8} +(3.34412 - 1.78747i) q^{9} +O(q^{10})\)	\(q+(-1.25274 - 0.656233i) q^{2} +(2.52802 - 0.633235i) q^{3} +(1.13872 + 1.64418i) q^{4} +(2.68726 + 1.27098i) q^{5} +(-3.58250 - 0.865690i) q^{6} +(-0.994929 - 3.27984i) q^{7} +(-0.347549 - 2.80699i) q^{8} +(3.34412 - 1.78747i) q^{9} +(-2.53238 - 3.35568i) q^{10} +(-2.32638 + 0.345086i) q^{11} +(3.91985 + 3.43544i) q^{12} +(-1.83090 + 5.11701i) q^{13} +(-0.905953 + 4.76169i) q^{14} +(7.59827 + 1.51139i) q^{15} +(-1.40665 + 3.74451i) q^{16} +(4.84908 - 0.964541i) q^{17} +(-5.36231 + 0.0447117i) q^{18} +(-0.606878 - 0.550042i) q^{19} +(0.970307 + 5.86562i) q^{20} +(-4.59211 - 7.66147i) q^{21} +(3.14081 + 1.09435i) q^{22} +(-6.50026 + 0.640220i) q^{23} +(-2.65610 - 6.87604i) q^{24} +(2.43401 + 2.96585i) q^{25} +(5.65159 - 5.20879i) q^{26} +(1.52908 - 1.38588i) q^{27} +(4.25971 - 5.37065i) q^{28} +(-5.25953 - 7.09165i) q^{29} +(-8.52683 - 6.87961i) q^{30} +(3.83088 + 1.58680i) q^{31} +(4.21944 - 3.76780i) q^{32} +(-5.66262 + 2.34553i) q^{33} +(-6.70760 - 1.97381i) q^{34} +(1.49498 - 10.0783i) q^{35} +(6.74692 + 3.46291i) q^{36} +(-0.468192 + 9.53027i) q^{37} +(0.399304 + 1.08731i) q^{38} +(-1.38826 + 14.0953i) q^{39} +(2.63367 - 7.98485i) q^{40} +(5.46837 - 6.66323i) q^{41} +(0.725007 + 12.6113i) q^{42} +(0.150551 - 0.601033i) q^{43} +(-3.21647 - 3.43204i) q^{44} +(11.2583 - 0.553087i) q^{45} +(8.56327 + 3.46366i) q^{46} +(-0.817360 - 0.546143i) q^{47} +(-1.18489 + 10.3569i) q^{48} +(-3.94718 + 2.63742i) q^{49} +(-1.10289 - 5.31271i) q^{50} +(11.6478 - 5.50898i) q^{51} +(-10.4982 + 2.81650i) q^{52} +(-4.03178 + 5.43623i) q^{53} +(-2.82500 + 0.732711i) q^{54} +(-6.69019 - 2.02945i) q^{55} +(-8.86070 + 3.93266i) q^{56} +(-1.88250 - 1.00622i) q^{57} +(1.93504 + 12.3355i) q^{58} +(-1.66575 - 4.65545i) q^{59} +(6.16727 + 14.2140i) q^{60} +(-4.79562 + 8.00102i) q^{61} +(-3.75779 - 4.50181i) q^{62} +(-9.18977 - 9.18977i) q^{63} +(-7.75842 + 1.95114i) q^{64} +(-11.4237 + 11.4237i) q^{65} +(8.63300 + 0.777655i) q^{66} +(2.67231 + 1.60172i) q^{67} +(7.10760 + 6.87441i) q^{68} +(-16.0274 + 5.73468i) q^{69} +(-8.48654 + 11.6445i) q^{70} +(5.49810 - 10.2862i) q^{71} +(-6.17966 - 8.76568i) q^{72} +(-0.366227 + 1.20729i) q^{73} +(6.84061 - 11.6317i) q^{74} +(8.03129 + 5.95641i) q^{75} +(0.213306 - 1.62416i) q^{76} +(3.44641 + 7.28683i) q^{77} +(10.9889 - 16.7467i) q^{78} +(-1.87055 - 2.79948i) q^{79} +(-8.53923 + 8.27463i) q^{80} +(-3.33197 + 4.98665i) q^{81} +(-11.2231 + 4.75877i) q^{82} +(0.420840 + 8.56639i) q^{83} +(7.36772 - 16.2745i) q^{84} +(14.2566 + 3.57110i) q^{85} +(-0.583019 + 0.654141i) q^{86} +(-17.7869 - 14.5973i) q^{87} +(1.77719 + 6.41021i) q^{88} +(3.56987 + 0.351601i) q^{89} +(-14.4667 - 6.69523i) q^{90} +(18.6046 + 0.913985i) q^{91} +(-8.45458 - 9.95857i) q^{92} +(10.6894 + 1.58562i) q^{93} +(0.665543 + 1.22055i) q^{94} +(-0.931746 - 2.24943i) q^{95} +(8.28091 - 12.1970i) q^{96} +(4.65121 - 11.2290i) q^{97} +(6.67556 - 0.713733i) q^{98} +(-7.16287 + 5.31235i) 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

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Database

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