LMFDB - Embedded newform 403.2.s.a.160.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [403,2,Mod(160,403)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(403, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([1, 4]))

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

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

chi := DirichletCharacter("403.160");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 403 = 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	403.s (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.21797120146$
Analytic rank:	$0$
Dimension:	$70$
Relative dimension:	$35$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			160.14
Character	$\chi$	$=$	403.160
Dual form			403.2.s.a.335.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.793251 - 0.457984i) q^{2} +(0.684833 + 1.18617i) q^{3} +(-0.580502 - 1.00546i) q^{4} +(-3.20188 + 1.84861i) q^{5} -1.25457i q^{6} -1.52463i q^{7} +2.89538i q^{8} +(0.562006 - 0.973423i) q^{9} +O(q^{10})$	\(q+(-0.793251 - 0.457984i) q^{2} +(0.684833 + 1.18617i) q^{3} +(-0.580502 - 1.00546i) q^{4} +(-3.20188 + 1.84861i) q^{5} -1.25457i q^{6} -1.52463i q^{7} +2.89538i q^{8} +(0.562006 - 0.973423i) q^{9} +3.38653 q^{10} -2.35466i q^{11} +(0.795094 - 1.37714i) q^{12} +(3.60530 + 0.0428840i) q^{13} +(-0.698257 + 1.20942i) q^{14} +(-4.38552 - 2.53198i) q^{15} +(0.165031 - 0.285841i) q^{16} +7.70069 q^{17} +(-0.891624 + 0.514779i) q^{18} -7.81443i q^{19} +(3.71740 + 2.14624i) q^{20} +(1.80847 - 1.04412i) q^{21} +(-1.07839 + 1.86783i) q^{22} +(0.106897 - 0.185150i) q^{23} +(-3.43440 + 1.98285i) q^{24} +(4.33471 - 7.50794i) q^{25} +(-2.84026 - 1.68518i) q^{26} +5.64852 q^{27} +(-1.53296 + 0.885053i) q^{28} +(-2.38176 + 4.12533i) q^{29} +(2.31921 + 4.01699i) q^{30} +(-5.56434 + 0.195323i) q^{31} +(4.75312 - 2.74421i) q^{32} +(2.79301 - 1.61255i) q^{33} +(-6.10858 - 3.52679i) q^{34} +(2.81845 + 4.88170i) q^{35} -1.30498 q^{36} +(2.15316 - 1.24313i) q^{37} +(-3.57888 + 6.19881i) q^{38} +(2.41816 + 4.30585i) q^{39} +(-5.35242 - 9.27066i) q^{40} +1.25205i q^{41} -1.91276 q^{42} -2.13673 q^{43} +(-2.36751 + 1.36688i) q^{44} +4.15572i q^{45} +(-0.169592 + 0.0979137i) q^{46} +1.38056i q^{47} +0.452074 q^{48} +4.67549 q^{49} +(-6.87703 + 3.97045i) q^{50} +(5.27369 + 9.13430i) q^{51} +(-2.04976 - 3.64987i) q^{52} +(-6.75223 - 11.6952i) q^{53} +(-4.48070 - 2.58693i) q^{54} +(4.35284 + 7.53934i) q^{55} +4.41439 q^{56} +(9.26922 - 5.35159i) q^{57} +(3.77867 - 2.18162i) q^{58} -11.1141i q^{59} +5.87928i q^{60} +(-1.06115 - 1.83796i) q^{61} +(4.50337 + 2.39344i) q^{62} +(-1.48411 - 0.856853i) q^{63} -5.68734 q^{64} +(-11.6230 + 6.52747i) q^{65} -2.95408 q^{66} -2.29054i q^{67} +(-4.47027 - 7.74273i) q^{68} +0.292825 q^{69} -5.16322i q^{70} +(8.29727 + 4.79043i) q^{71} +(2.81843 + 1.62722i) q^{72} +(4.64201 - 2.68006i) q^{73} -2.27733 q^{74} +11.8742 q^{75} +(-7.85709 + 4.53629i) q^{76} -3.58999 q^{77} +(0.0538009 - 4.52310i) q^{78} +(-1.55480 + 2.69300i) q^{79} +1.22031i q^{80} +(2.18228 + 3.77982i) q^{81} +(0.573419 - 0.993191i) q^{82} +(-7.57762 + 4.37494i) q^{83} +(-2.09964 - 1.21223i) q^{84} +(-24.6567 + 14.2356i) q^{85} +(1.69497 + 0.978589i) q^{86} -6.52444 q^{87} +6.81762 q^{88} +(3.51586 + 2.02988i) q^{89} +(1.90325 - 3.29653i) q^{90} +(0.0653823 - 5.49675i) q^{91} -0.248215 q^{92} +(-4.04233 - 6.46647i) q^{93} +(0.632272 - 1.09513i) q^{94} +(14.4458 + 25.0209i) q^{95} +(6.51019 + 3.75866i) q^{96} +(-1.78878 + 1.03275i) q^{97} +(-3.70884 - 2.14130i) q^{98} +(-2.29208 - 1.32333i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 70 q - 6 q^{2} - 2 q^{3} + 30 q^{4} - 29 q^{9}+O(q^{10}) $ 70 * q - 6 * q^2 - 2 * q^3 + 30 * q^4 - 29 * q^9	$ 70 q - 6 q^{2} - 2 q^{3} + 30 q^{4} - 29 q^{9} + 2 q^{10} + 13 q^{12} + q^{13} - 14 q^{14} - 15 q^{15} - 28 q^{16} - 12 q^{17} - 3 q^{20} - 9 q^{21} + 4 q^{22} + 10 q^{23} + 18 q^{24} + 19 q^{25} + 6 q^{26} + 34 q^{27} - 33 q^{28} - 18 q^{29} - 31 q^{30} - 2 q^{31} + 36 q^{32} - 12 q^{33} + 9 q^{34} - 12 q^{35} - 16 q^{36} - 18 q^{37} - 21 q^{38} - 30 q^{39} + 5 q^{40} + 98 q^{42} - 38 q^{43} + 42 q^{44} - 6 q^{46} + 54 q^{48} - 18 q^{49} - 51 q^{50} - 7 q^{51} + 41 q^{52} - 22 q^{53} + 18 q^{54} - 15 q^{55} - 50 q^{56} + 15 q^{57} - 12 q^{58} - 13 q^{61} - 23 q^{62} - 6 q^{63} - 38 q^{64} - 12 q^{65} - 52 q^{66} - 44 q^{68} + 32 q^{69} + 27 q^{71} - 15 q^{72} - 9 q^{73} + 38 q^{74} - 50 q^{75} + 126 q^{76} + 34 q^{77} + 14 q^{78} + 6 q^{79} - 11 q^{81} + 39 q^{82} - 54 q^{83} + 15 q^{84} - 33 q^{85} - 24 q^{86} + 28 q^{87} - 32 q^{88} - 6 q^{89} - 11 q^{90} - 70 q^{91} - 6 q^{92} + 14 q^{93} - 43 q^{94} + 25 q^{95} + 36 q^{96} - 75 q^{97} + 93 q^{99}+O(q^{100}) $ 70 * q - 6 * q^2 - 2 * q^3 + 30 * q^4 - 29 * q^9 + 2 * q^10 + 13 * q^12 + q^13 - 14 * q^14 - 15 * q^15 - 28 * q^16 - 12 * q^17 - 3 * q^20 - 9 * q^21 + 4 * q^22 + 10 * q^23 + 18 * q^24 + 19 * q^25 + 6 * q^26 + 34 * q^27 - 33 * q^28 - 18 * q^29 - 31 * q^30 - 2 * q^31 + 36 * q^32 - 12 * q^33 + 9 * q^34 - 12 * q^35 - 16 * q^36 - 18 * q^37 - 21 * q^38 - 30 * q^39 + 5 * q^40 + 98 * q^42 - 38 * q^43 + 42 * q^44 - 6 * q^46 + 54 * q^48 - 18 * q^49 - 51 * q^50 - 7 * q^51 + 41 * q^52 - 22 * q^53 + 18 * q^54 - 15 * q^55 - 50 * q^56 + 15 * q^57 - 12 * q^58 - 13 * q^61 - 23 * q^62 - 6 * q^63 - 38 * q^64 - 12 * q^65 - 52 * q^66 - 44 * q^68 + 32 * q^69 + 27 * q^71 - 15 * q^72 - 9 * q^73 + 38 * q^74 - 50 * q^75 + 126 * q^76 + 34 * q^77 + 14 * q^78 + 6 * q^79 - 11 * q^81 + 39 * q^82 - 54 * q^83 + 15 * q^84 - 33 * q^85 - 24 * q^86 + 28 * q^87 - 32 * q^88 - 6 * q^89 - 11 * q^90 - 70 * q^91 - 6 * q^92 + 14 * q^93 - 43 * q^94 + 25 * q^95 + 36 * q^96 - 75 * q^97 + 93 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/403\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.793251	−	0.457984i	−0.560913	−	0.323843i	0.192599	−	0.981278i	$-0.438308\pi$
$2$	−0.793251	−	0.457984i	−0.560913	−	0.323843i	−0.753512	+	0.657434i	$0.771642\pi$
$3$	0.684833	+	1.18617i	0.395389	+	0.684833i	0.993151	−	0.116840i	$-0.0372765\pi$
$3$	0.684833	+	1.18617i	0.395389	+	0.684833i	−0.597762	+	0.801674i	$0.703943\pi$
$4$	−0.580502	−	1.00546i	−0.290251	−	0.502730i
$5$	−3.20188	+	1.84861i	−1.43193	+	0.826723i	−0.997268	−	0.0738721i	$-0.976464\pi$
$5$	−3.20188	+	1.84861i	−1.43193	+	0.826723i	−0.434659	+	0.900595i	$0.643131\pi$
$6$		−	1.25457i		−	0.512176i
$7$		−	1.52463i		−	0.576257i	−0.957592	−	0.288129i	$-0.906967\pi$
$7$		−	1.52463i		−	0.576257i	0.957592	−	0.288129i	$-0.0930331\pi$
$8$			2.89538i			1.02367i
$9$	0.562006	−	0.973423i	0.187335	−	0.324474i
$10$	3.38653			1.07091
$11$		−	2.35466i		−	0.709956i	−0.934875	−	0.354978i	$-0.884488\pi$
$11$		−	2.35466i		−	0.709956i	0.934875	−	0.354978i	$-0.115512\pi$
$12$	0.795094	−	1.37714i	0.229524	−	0.397547i
$13$	3.60530	+	0.0428840i	0.999929	+	0.0118939i
$13$	3.60530	+	0.0428840i	0.999929	+	0.0118939i
$14$	−0.698257	+	1.20942i	−0.186617	+	0.323230i
$15$	−4.38552	−	2.53198i	−1.13234	−	0.653754i
$16$	0.165031	−	0.285841i	0.0412577	−	0.0714604i
$17$	7.70069			1.86769			0.933846	−	0.357675i	$-0.116431\pi$
$17$	7.70069			1.86769			0.933846	+	0.357675i	$0.116431\pi$
$18$	−0.891624	+	0.514779i	−0.210158	+	0.121335i
$19$		−	7.81443i		−	1.79275i	−0.443293	−	0.896377i	$-0.646190\pi$
$19$		−	7.81443i		−	1.79275i	0.443293	−	0.896377i	$-0.353810\pi$
$20$	3.71740	+	2.14624i	0.831236	+	0.479914i
$21$	1.80847	−	1.04412i	0.394640	−	0.227846i
$22$	−1.07839	+	1.86783i	−0.229914	+	0.398223i
$23$	0.106897	−	0.185150i	0.0222895	−	0.0386065i	−0.854666	−	0.519179i	$-0.826238\pi$
$23$	0.106897	−	0.185150i	0.0222895	−	0.0386065i	0.876955	+	0.480573i	$0.159571\pi$
$24$	−3.43440	+	1.98285i	−0.701043	+	0.404748i
$25$	4.33471	−	7.50794i	0.866942	−	1.50159i
$26$	−2.84026	−	1.68518i	−0.557022	−	0.330492i
$27$	5.64852			1.08706
$28$	−1.53296	+	0.885053i	−0.289701	+	0.167259i
$29$	−2.38176	+	4.12533i	−0.442282	+	0.766055i	−0.997858	−	0.0654106i	$-0.979164\pi$
$29$	−2.38176	+	4.12533i	−0.442282	+	0.766055i	0.555576	+	0.831465i	$0.312498\pi$
$30$	2.31921	+	4.01699i	0.423428	+	0.733398i
$31$	−5.56434	+	0.195323i	−0.999384	+	0.0350810i
$31$	−5.56434	+	0.195323i	−0.999384	+	0.0350810i
$32$	4.75312	−	2.74421i	0.840240	−	0.485113i
$33$	2.79301	−	1.61255i	0.486201	−	0.280709i
$34$	−6.10858	−	3.52679i	−1.04761	−	0.604840i
$35$	2.81845	+	4.88170i	0.476405	+	0.825158i
$36$	−1.30498			−0.217497
$37$	2.15316	−	1.24313i	0.353977	−	0.204369i	−0.312459	−	0.949931i	$-0.601153\pi$
$37$	2.15316	−	1.24313i	0.353977	−	0.204369i	0.666435	+	0.745563i	$0.267819\pi$
$38$	−3.57888	+	6.19881i	−0.580571	+	1.00558i
$39$	2.41816	+	4.30585i	0.387215	+	0.689488i
$40$	−5.35242	−	9.27066i	−0.846292	−	1.46582i
$41$			1.25205i			0.195538i	0.995209	+	0.0977688i	$0.0311706\pi$
$41$			1.25205i			0.195538i	−0.995209	+	0.0977688i	$0.968829\pi$
$42$	−1.91276			−0.295145
$43$	−2.13673			−0.325849			−0.162924	−	0.986639i	$-0.552093\pi$
$43$	−2.13673			−0.325849			−0.162924	+	0.986639i	$0.552093\pi$
$44$	−2.36751	+	1.36688i	−0.356916	+	0.206065i
$45$			4.15572i			0.619498i
$46$	−0.169592	+	0.0979137i	−0.0250049	+	0.0144366i
$47$			1.38056i			0.201375i	0.994918	+	0.100687i	$0.0321042\pi$
$47$			1.38056i			0.201375i	−0.994918	+	0.100687i	$0.967896\pi$
$48$	0.452074			0.0652513
$49$	4.67549			0.667928
$50$	−6.87703	+	3.97045i	−0.972558	+	0.561507i
$51$	5.27369	+	9.13430i	0.738464	+	1.27906i
$52$	−2.04976	−	3.64987i	−0.284251	−	0.506146i
$53$	−6.75223	−	11.6952i	−0.927491	−	1.60646i	−0.787506	−	0.616307i	$-0.788628\pi$
$53$	−6.75223	−	11.6952i	−0.927491	−	1.60646i	−0.139985	−	0.990154i	$-0.544705\pi$
$54$	−4.48070	−	2.58693i	−0.609746	−	0.352037i
$55$	4.35284	+	7.53934i	0.586937	+	1.01660i
$56$	4.41439			0.589897
$57$	9.26922	−	5.35159i	1.22774	−	0.708835i
$58$	3.77867	−	2.18162i	0.496163	−	0.286460i
$59$		−	11.1141i		−	1.44693i	−0.690361	−	0.723465i	$-0.742548\pi$
$59$		−	11.1141i		−	1.44693i	0.690361	−	0.723465i	$-0.257452\pi$
$60$			5.87928i			0.759011i
$61$	−1.06115	−	1.83796i	−0.135866	−	0.235326i	0.790062	−	0.613027i	$-0.210048\pi$
$61$	−1.06115	−	1.83796i	−0.135866	−	0.235326i	−0.925928	+	0.377700i	$0.876715\pi$
$62$	4.50337	+	2.39344i	0.571929	+	0.303967i
$63$	−1.48411	−	0.856853i	−0.186981	−	0.107953i
$64$	−5.68734			−0.710918
$65$	−11.6230	+	6.52747i	−1.44166	+	0.809633i
$66$	−2.95408			−0.363622
$67$		−	2.29054i		−	0.279834i	−0.990163	−	0.139917i	$-0.955316\pi$
$67$		−	2.29054i		−	0.279834i	0.990163	−	0.139917i	$-0.0446836\pi$
$68$	−4.47027	−	7.74273i	−0.542100	−	0.938944i
$69$	0.292825			0.0352520
$70$		−	5.16322i		−	0.617122i
$71$	8.29727	+	4.79043i	0.984704	+	0.568519i	0.903687	−	0.428193i	$-0.140850\pi$
$71$	8.29727	+	4.79043i	0.984704	+	0.568519i	0.0810173	+	0.996713i	$0.474183\pi$
$72$	2.81843	+	1.62722i	0.332155	+	0.191770i
$73$	4.64201	−	2.68006i	0.543306	−	0.313678i	−0.203112	−	0.979156i	$-0.565105\pi$
$73$	4.64201	−	2.68006i	0.543306	−	0.313678i	0.746418	+	0.665478i	$0.231772\pi$
$74$	−2.27733			−0.264734
$75$	11.8742			1.37112
$76$	−7.85709	+	4.53629i	−0.901270	+	0.520349i
$77$	−3.58999			−0.409117
$78$	0.0538009	−	4.52310i	0.00609176	−	0.512140i
$79$	−1.55480	+	2.69300i	−0.174929	+	0.302986i	−0.940137	−	0.340798i	$-0.889303\pi$
$79$	−1.55480	+	2.69300i	−0.174929	+	0.302986i	0.765208	+	0.643783i	$0.222636\pi$
$80$			1.22031i			0.136435i
$81$	2.18228	+	3.77982i	0.242475	+	0.419980i
$82$	0.573419	−	0.993191i	0.0633235	−	0.109680i
$83$	−7.57762	+	4.37494i	−0.831752	+	0.480212i	−0.854452	−	0.519530i	$-0.826107\pi$
$83$	−7.57762	+	4.37494i	−0.831752	+	0.480212i	0.0227000	+	0.999742i	$0.492774\pi$
$84$	−2.09964	−	1.21223i	−0.229089	−	0.132265i
$85$	−24.6567	+	14.2356i	−2.67440	+	1.54406i
$86$	1.69497	+	0.978589i	0.182773	+	0.105524i
$87$	−6.52444			−0.699493
$88$	6.81762			0.726760
$89$	3.51586	+	2.02988i	0.372680	+	0.215167i	0.674629	−	0.738157i	$-0.264304\pi$
$89$	3.51586	+	2.02988i	0.372680	+	0.215167i	−0.301948	+	0.953324i	$0.597637\pi$
$90$	1.90325	−	3.29653i	0.200620	−	0.347485i
$91$	0.0653823	−	5.49675i	0.00685393	−	0.576216i
$92$	−0.248215			−0.0258782
$93$	−4.04233	−	6.46647i	−0.419170	−	0.670541i
$94$	0.632272	−	1.09513i	0.0652138	−	0.112954i
$95$	14.4458	+	25.0209i	1.48211	+	2.56709i
$96$	6.51019	+	3.75866i	0.664443	+	0.383616i
$97$	−1.78878	+	1.03275i	−0.181623	+	0.104860i	−0.588055	−	0.808821i	$-0.700106\pi$
$97$	−1.78878	+	1.03275i	−0.181623	+	0.104860i	0.406432	+	0.913681i	$0.366773\pi$
$98$	−3.70884	−	2.14130i	−0.374649	−	0.216304i
$99$	−2.29208	−	1.32333i	−0.230362	−	0.133000i
$100$	−10.0652			−1.00652
$101$	8.13122	−	14.0837i	0.809087	−	1.40138i	−0.104410	−	0.994534i	$-0.533296\pi$
$101$	8.13122	−	14.0837i	0.809087	−	1.40138i	0.913497	−	0.406845i	$-0.133371\pi$
$102$		−	9.66106i		−	0.956587i
$103$	1.22763	+	2.12632i	0.120962	+	0.209513i	0.920147	−	0.391572i	$-0.128069\pi$
$103$	1.22763	+	2.12632i	0.120962	+	0.209513i	−0.799185	+	0.601085i	$0.794735\pi$
$104$	−0.124165	+	10.4387i	−0.0121754	+	1.02360i
$105$	−3.86034	+	6.68630i	−0.376730	+	0.652516i
$106$			12.3696i			1.20145i
$107$	6.72894	+	11.6549i	0.650511	+	1.12672i	0.982999	+	0.183611i	$0.0587786\pi$
$107$	6.72894	+	11.6549i	0.650511	+	1.12672i	−0.332488	+	0.943108i	$0.607888\pi$
$108$	−3.27898	−	5.67936i	−0.315520	−	0.546497i
$109$			11.0548i			1.05886i	0.848354	+	0.529430i	$0.177594\pi$
$109$			11.0548i			1.05886i	−0.848354	+	0.529430i	$0.822406\pi$
$110$		−	7.97412i		−	0.760302i
$111$	2.94911	+	1.70267i	0.279917	+	0.161610i
$112$	−0.435803	−	0.251611i	−0.0411795	−	0.0237750i
$113$	−5.40433	+	9.36057i	−0.508396	+	0.880568i	0.491557	+	0.870846i	$0.336428\pi$
$113$	−5.40433	+	9.36057i	−0.508396	+	0.880568i	−0.999953	+	0.00972237i	$0.996905\pi$
$114$	−9.80375			−0.918206
$115$			0.790440i			0.0737089i
$116$	5.53047			0.513491
$117$	2.06794	−	3.48538i	0.191181	−	0.322223i
$118$	−5.09007	+	8.81625i	−0.468578	+	0.811602i
$119$		−	11.7407i		−	1.07627i
$120$	7.33103	−	12.6977i	0.669228	−	1.15914i
$121$	5.45559			0.495963
$122$			1.94395i			0.175997i
$123$	−1.48514	+	0.857447i	−0.133911	+	0.0773134i
$124$	3.42650	+	5.48133i	0.307709	+	0.492238i
$125$			13.5667i			1.21344i
$126$	0.784849	+	1.35940i	0.0699199	+	0.121105i
$127$	−0.928480	−	1.60817i	−0.0823893	−	0.142702i	0.821886	−	0.569651i	$-0.192922\pi$
$127$	−0.928480	−	1.60817i	−0.0823893	−	0.142702i	−0.904276	+	0.426949i	$0.859588\pi$
$128$	−4.99475	−	2.88372i	−0.441477	−	0.254887i
$129$	−1.46331	−	2.53452i	−0.128837	−	0.223152i
$130$	12.2094	+	0.145228i	1.07084	+	0.0127373i
$131$	−9.60610	+	16.6383i	−0.839289	+	1.45369i	0.0512007	+	0.998688i	$0.483695\pi$
$131$	−9.60610	+	16.6383i	−0.839289	+	1.45369i	−0.890490	+	0.455003i	$0.849638\pi$
$132$	−3.24270	−	1.87217i	−0.282241	−	0.162952i
$133$	−11.9141			−1.03309
$134$	−1.04903	+	1.81697i	−0.0906224	+	0.156963i
$135$	−18.0859	+	10.4419i	−1.55659	+	0.898697i
$136$			22.2964i			1.91190i
$137$	−4.49495	−	2.59516i	−0.384030	−	0.221720i	0.295540	−	0.955330i	$-0.404500\pi$
$137$	−4.49495	−	2.59516i	−0.384030	−	0.221720i	−0.679570	+	0.733611i	$0.737834\pi$
$138$	−0.232284	−	0.134109i	−0.0197733	−	0.0114161i
$139$	−9.08032	−	15.7276i	−0.770182	−	1.33400i	−0.937463	−	0.348086i	$-0.886832\pi$
$139$	−9.08032	−	15.7276i	−0.770182	−	1.33400i	0.167280	−	0.985909i	$-0.446502\pi$
$140$	3.27223	−	5.66767i	0.276554	−	0.479006i
$141$	−1.63757	+	0.945451i	−0.137908	+	0.0796213i
$142$	−4.38788	−	7.60002i	−0.368222	−	0.637780i
$143$	0.100977	−	8.48923i	0.00844412	−	0.709905i
$144$	−0.185496	−	0.321289i	−0.0154580	−	0.0267741i
$145$		−	17.6118i		−	1.46258i
$146$	−4.90970			−0.406330
$147$	3.20193	+	5.54591i	0.264091	+	0.457419i
$148$	−2.49982	−	1.44327i	−0.205484	−	0.118636i
$149$			16.1336i			1.32171i	0.750512	+	0.660857i	$0.229807\pi$
$149$			16.1336i			1.32171i	−0.750512	+	0.660857i	$0.770193\pi$
$150$	−9.41924	−	5.43820i	−0.769077	−	0.444027i
$151$		−	6.57259i		−	0.534870i	−0.963576	−	0.267435i	$-0.913824\pi$
$151$		−	6.57259i		−	0.534870i	0.963576	−	0.267435i	$-0.0861760\pi$
$152$	22.6257			1.83519
$153$	4.32784	−	7.49603i	0.349885	−	0.606018i
$154$	2.84776	+	1.64416i	0.229479	+	0.132490i
$155$	17.4553	−	10.9117i	1.40204	−	0.876448i
$156$	2.92561	−	4.93092i	0.234236	−	0.394789i
$157$	6.58773			0.525758			0.262879	−	0.964829i	$-0.415328\pi$
$157$	6.58773			0.525758			0.262879	+	0.964829i	$0.415328\pi$
$158$	2.46670	−	1.42415i	0.196240	−	0.113299i
$159$	9.24831	−	16.0185i	0.733439	−	1.27035i
$160$	−10.1460	+	17.5733i	−0.802108	+	1.38929i
$161$	−0.282286	−	0.162978i	−0.0222473	−	0.0128445i
$162$		−	3.99779i		−	0.314096i
$163$	1.71324	−	0.989138i	0.134191	−	0.0774753i	−0.431402	−	0.902160i	$-0.641981\pi$
$163$	1.71324	−	0.989138i	0.134191	−	0.0774753i	0.565593	+	0.824685i	$0.308647\pi$
$164$	1.25889	−	0.726819i	0.0983025	−	0.0567550i
$165$	−5.96194	+	10.3264i	−0.464136	+	0.803908i
$166$	8.01461			0.622054
$167$	4.37827	−	2.52780i	0.338801	−	0.195607i	−0.320941	−	0.947099i	$-0.603999\pi$
$167$	4.37827	−	2.52780i	0.338801	−	0.195607i	0.659742	+	0.751492i	$0.270666\pi$
$168$	3.02312	+	5.23620i	0.233239	+	0.403981i
$169$	12.9963	+	0.309219i	0.999717	+	0.0237861i
$170$	26.0786			2.00014
$171$	−7.60675	−	4.39176i	−0.581703	−	0.335846i
$172$	1.24038	+	2.14840i	0.0945779	+	0.163814i
$173$	4.10957	−	7.11799i	0.312445	−	0.541171i	−0.666446	−	0.745553i	$-0.732185\pi$
$173$	4.10957	−	7.11799i	0.312445	−	0.541171i	0.978891	+	0.204382i	$0.0655186\pi$
$174$	5.17552	+	2.98809i	0.392355	+	0.226526i
$175$	−11.4469	−	6.60884i	−0.865301	−	0.499582i
$176$	−0.673058	−	0.388590i	−0.0507337	−	0.0292911i
$177$	13.1831	−	7.61129i	0.990906	−	0.572100i
$178$	−1.85931	−	3.22041i	−0.139361	−	0.241380i
$179$	−4.26524	−	7.38761i	−0.318799	−	0.552176i	0.661439	−	0.749999i	$-0.269946\pi$
$179$	−4.26524	−	7.38761i	−0.318799	−	0.552176i	−0.980238	+	0.197823i	$0.936613\pi$
$180$	4.17841	−	2.41240i	0.311440	−	0.179810i
$181$	5.10046	+	8.83425i	0.379114	+	0.656645i	0.990934	−	0.134353i	$-0.0428955\pi$
$181$	5.10046	+	8.83425i	0.379114	+	0.656645i	−0.611820	+	0.790997i	$0.709562\pi$
$182$	−2.56929	+	4.33036i	−0.190448	+	0.320988i
$183$	1.45342	−	2.51739i	0.107440	−	0.186091i
$184$	0.536080	+	0.309506i	0.0395203	+	0.0228171i
$185$	−4.59611	+	7.96069i	−0.337913	+	0.585282i
$186$	0.245046	+	6.98085i	0.0179677	+	0.511861i
$187$		−	18.1325i		−	1.32598i
$188$	1.38809	−	0.801415i	0.101237	−	0.0584492i
$189$		−	8.61193i		−	0.626425i
$190$		−	26.4638i		−	1.91989i
$191$	11.7472	−	20.3467i	0.849995	−	1.47223i	−0.0312170	−	0.999513i	$-0.509938\pi$
$191$	11.7472	−	20.3467i	0.849995	−	1.47223i	0.881212	−	0.472722i	$-0.156728\pi$
$192$	−3.89488	−	6.74613i	−0.281089	−	0.486860i
$193$	−3.80495	+	2.19679i	−0.273886	+	0.158128i	−0.630652	−	0.776065i	$-0.717213\pi$
$193$	−3.80495	+	2.19679i	−0.273886	+	0.158128i	0.356766	+	0.934194i	$0.383879\pi$
$194$	1.89193			0.135833
$195$	−15.7025	−	9.31660i	−1.12448	−	0.667176i
$196$	−2.71413	−	4.70102i	−0.193867	−	0.335787i
$197$			11.4755i			0.817594i	0.912625	+	0.408797i	$0.134052\pi$
$197$			11.4755i			0.817594i	−0.912625	+	0.408797i	$0.865948\pi$
$198$	1.21213	+	2.09947i	0.0861422	+	0.149203i
$199$	1.28694	−	2.22905i	0.0912288	−	0.158013i	−0.816800	−	0.576921i	$-0.804254\pi$
$199$	1.28694	−	2.22905i	0.0912288	−	0.158013i	0.908028	+	0.418908i	$0.137587\pi$
$200$	21.7383	+	12.5506i	1.53713	+	0.887463i
$201$	2.71696	−	1.56864i	0.191640	−	0.110643i
$202$	−12.9002	+	7.44793i	−0.907655	+	0.524035i
$203$	6.28962	+	3.63131i	0.441445	+	0.254868i
$204$	6.12278	−	10.6050i	0.428680	−	0.742496i
$205$	−2.31455	−	4.00893i	−0.161655	−	0.279995i
$206$		−	2.24894i		−	0.156691i
$207$	−0.120153	−	0.208111i	−0.00835122	−	0.0144647i
$208$	0.607242	−	1.02347i	0.0421047	−	0.0709646i
$209$	−18.4003			−1.27278
$210$	6.12443	−	3.53594i	0.422626	−	0.244003i
$211$	−8.55585	−	14.8192i	−0.589009	−	1.02019i	−0.994363	−	0.106034i	$-0.966185\pi$
$211$	−8.55585	−	14.8192i	−0.589009	−	1.02019i	0.405353	−	0.914160i	$-0.367148\pi$
$212$	−7.83937	+	13.5782i	−0.538410	+	0.932554i
$213$			13.1226i			0.899145i
$214$		−	12.3270i		−	0.842655i
$215$	6.84157	−	3.94998i	0.466591	−	0.269387i
$216$			16.3546i			1.11279i
$217$	0.297796	+	8.48357i	0.0202157	+	0.575902i
$218$	5.06293	−	8.76925i	0.342905	−	0.593928i
$219$	6.35801	+	3.67080i	0.429634	+	0.248049i
$220$	5.05366	−	8.75320i	0.340718	−	0.590141i
$221$	27.7633	+	0.330236i	1.86756	+	0.0222141i
$222$	−1.55959	−	2.70129i	−0.104673	−	0.181299i
$223$	8.28687	−	4.78442i	0.554930	−	0.320389i	−0.196178	−	0.980568i	$-0.562853\pi$
$223$	8.28687	−	4.78442i	0.554930	−	0.320389i	0.751108	+	0.660179i	$0.229520\pi$
$224$	−4.18392	−	7.24676i	−0.279550	−	0.484194i
$225$	−4.87227	−	8.43902i	−0.324818	−	0.562601i
$226$	8.57397	−	4.95018i	0.570332	−	0.329281i
$227$	−9.13380	−	5.27340i	−0.606232	−	0.350008i	0.165257	−	0.986250i	$-0.447155\pi$
$227$	−9.13380	−	5.27340i	−0.606232	−	0.350008i	−0.771489	+	0.636242i	$0.780488\pi$
$228$	−10.7616	−	6.21321i	−0.712704	−	0.411480i
$229$	−10.7106	−	6.18379i	−0.707778	−	0.408636i	0.102459	−	0.994737i	$-0.467329\pi$
$229$	−10.7106	−	6.18379i	−0.707778	−	0.408636i	−0.810238	+	0.586101i	$0.800662\pi$
$230$	0.362008	−	0.627017i	0.0238701	−	0.0413443i
$231$	−2.45854	−	4.25832i	−0.161760	−	0.280177i
$232$	−11.9444	−	6.89609i	−0.784187	−	0.452751i
$233$	30.3755			1.98996			0.994981	−	0.100064i	$-0.0319049\pi$
$233$	30.3755			1.98996			0.994981	+	0.100064i	$0.0319049\pi$
$234$	−3.23664	+	1.81770i	−0.211586	+	0.118826i
$235$	−2.55211	−	4.42038i	−0.166481	−	0.288354i
$236$	−11.1747	+	6.45174i	−0.727414	+	0.419973i
$237$	−4.25912			−0.276660
$238$	−5.37706	+	9.31334i	−0.348543	+	0.603694i
$239$	−17.9140	+	10.3426i	−1.15876	+	0.669009i	−0.951006	−	0.309172i	$-0.899948\pi$
$239$	−17.9140	+	10.3426i	−1.15876	+	0.669009i	−0.207752	+	0.978181i	$0.566615\pi$
$240$	−1.44749	+	0.835708i	−0.0934350	+	0.0539447i
$241$			19.0677i			1.22826i	0.789204	+	0.614131i	$0.210493\pi$
$241$			19.0677i			1.22826i	−0.789204	+	0.614131i	$0.789507\pi$
$242$	−4.32765	−	2.49857i	−0.278192	−	0.160614i
$243$	5.48379	−	9.49820i	0.351785	−	0.609310i
$244$	−1.23199	+	2.13388i	−0.0788704	+	0.136607i
$245$	−14.9704	+	8.64316i	−0.956423	+	0.552191i
$246$	1.57079			0.100150
$247$	0.335114	−	28.1733i	0.0213228	−	1.79263i
$248$	−0.565533	−	16.1108i	−0.0359114	−	1.02304i
$249$	−10.3788	−	5.99221i	−0.657731	−	0.379741i
$250$	6.21330	−	10.7618i	0.392964	−	0.680633i
$251$	−27.7928			−1.75427			−0.877134	−	0.480246i	$-0.840547\pi$
$251$	−27.7928			−1.75427			−0.877134	+	0.480246i	$0.840547\pi$
$252$			1.98962i			0.125334i
$253$	−0.435965	−	0.251705i	−0.0274089	−	0.0158245i
$254$			1.70091i			0.106725i
$255$	−33.7715	−	19.4980i	−2.11485	−	1.22101i
$256$	8.32873	+	14.4258i	0.520546	+	0.901612i
$257$	−23.6023			−1.47227			−0.736135	−	0.676835i	$-0.763351\pi$
$257$	−23.6023			−1.47227			−0.736135	+	0.676835i	$0.763351\pi$
$258$			2.68068i			0.166892i
$259$	−1.89531	−	3.28278i	−0.117769	−	0.203982i
$260$	13.3103	+	7.89726i	0.825469	+	0.489767i
$261$	2.67713	+	4.63692i	0.165710	+	0.287018i
$262$	15.2401	−	8.79888i	0.941537	−	0.543596i
$263$	−6.56512	+	11.3711i	−0.404823	+	0.701173i	−0.994301	−	0.106611i	$-0.966000\pi$
$263$	−6.56512	+	11.3711i	−0.404823	+	0.701173i	0.589478	+	0.807784i	$0.299333\pi$
$264$	4.66893	+	8.08683i	0.287353	+	0.497710i
$265$	43.2397	+	24.9645i	2.65620	+	1.53356i
$266$	9.45090	+	5.45648i	0.579472	+	0.334558i
$267$			5.56053i			0.340299i
$268$	−2.30305	+	1.32966i	−0.140681	+	0.0812222i
$269$	−6.44341	+	11.1603i	−0.392862	+	0.680457i	−0.992826	−	0.119570i	$-0.961848\pi$
$269$	−6.44341	+	11.1603i	−0.392862	+	0.680457i	0.599964	+	0.800027i	$0.295182\pi$
$270$	19.1289			1.16415
$271$	25.7288	+	14.8545i	1.56291	+	0.902349i	0.996960	+	0.0779129i	$0.0248256\pi$
$271$	25.7288	+	14.8545i	1.56291	+	0.902349i	0.565955	+	0.824436i	$0.308508\pi$
$272$	1.27085	−	2.20118i	0.0770566	−	0.133466i
$273$	6.56484	−	3.68681i	0.397322	−	0.223136i
$274$	2.37708	+	4.11723i	0.143605	+	0.248731i
$275$	−17.6786	−	10.2068i	−1.06606	−	0.615491i
$276$	−0.169986	−	0.294424i	−0.0102319	−	0.0177222i
$277$	0.932431	+	1.61502i	0.0560244	+	0.0970370i	0.892677	−	0.450696i	$-0.148824\pi$
$277$	0.932431	+	1.61502i	0.0560244	+	0.0970370i	−0.836653	+	0.547733i	$0.815491\pi$
$278$			16.6345i			0.997674i
$279$	−2.93706	+	5.52623i	−0.175837	+	0.330847i
$280$	−14.1344	+	8.16047i	−0.844689	+	0.487682i
$281$		−	10.7560i		−	0.641648i	−0.947139	−	0.320824i	$-0.896040\pi$
$281$		−	10.7560i		−	0.641648i	0.947139	−	0.320824i	$-0.103960\pi$
$282$	1.73200			0.103139
$283$	−2.57897	+	4.46690i	−0.153304	+	0.265530i	−0.932440	−	0.361325i	$-0.882325\pi$
$283$	−2.57897	+	4.46690i	−0.153304	+	0.265530i	0.779136	+	0.626854i	$0.215658\pi$
$284$		−	11.1234i		−	0.660053i
$285$	−19.7860	+	34.2703i	−1.17202	+	2.03000i
$286$	−3.96803	+	6.68785i	−0.234635	+	0.395461i
$287$	1.90892			0.112680
$288$		−	6.16906i		−	0.363515i
$289$	42.3007			2.48827
$290$	−8.06591	+	13.9706i	−0.473646	+	0.820380i
$291$	−2.45003	−	1.41452i	−0.143623	−	0.0829208i
$292$	−5.38939	−	3.11157i	−0.315390	−	0.182091i
$293$			15.5403i			0.907876i	0.891033	+	0.453938i	$0.149981\pi$
$293$			15.5403i			0.907876i	−0.891033	+	0.453938i	$0.850019\pi$
$294$		−	5.86573i		−	0.342097i
$295$	20.5456	+	35.5860i	1.19621	+	2.07190i
$296$	3.59932	+	6.23420i	0.209206	+	0.362356i
$297$		−	13.3003i		−	0.771764i
$298$	7.38891	−	12.7980i	0.428028	−	0.741367i
$299$	0.393334	−	0.662937i	0.0227471	−	0.0383387i
$300$	−6.89301	−	11.9390i	−0.397968	−	0.689301i
$301$			3.25773i			0.187773i
$302$	−3.01014	+	5.21371i	−0.173214	+	0.300015i
$303$	22.2741			1.27962
$304$	−2.23369	−	1.28962i	−0.128111	−	0.0739648i
$305$	6.79533	+	3.92329i	0.389100	+	0.224647i
$306$	−6.86612	+	3.96416i	−0.392510	+	0.226616i
$307$	6.13329	+	3.54106i	0.350046	+	0.202099i	0.664705	−	0.747106i	$-0.268557\pi$
$307$	6.13329	+	3.54106i	0.350046	+	0.202099i	−0.314660	+	0.949205i	$0.601890\pi$
$308$	2.08399	+	3.60959i	0.118747	+	0.205675i
$309$	−1.68145	+	2.91235i	−0.0956542	+	0.165678i
$310$	−18.8438	+	0.661467i	−1.07026	+	0.0375688i
$311$	17.0673			0.967795			0.483898	−	0.875125i	$-0.339221\pi$
$311$	17.0673			0.967795			0.483898	+	0.875125i	$0.339221\pi$
$312$	−12.4671	+	7.00148i	−0.705808	+	0.396381i
$313$	−8.60117	+	14.8977i	−0.486167	+	0.842066i	−0.999874	−	0.0159000i	$-0.994939\pi$
$313$	−8.60117	+	14.8977i	−0.486167	+	0.842066i	0.513707	+	0.857966i	$0.328272\pi$
$314$	−5.22572	−	3.01707i	−0.294905	−	0.170263i
$315$	6.33595			0.356990
$316$	3.61026			0.203093
$317$	−7.94892	−	4.58931i	−0.446456	−	0.257761i	0.259877	−	0.965642i	$-0.416318\pi$
$317$	−7.94892	−	4.58931i	−0.446456	−	0.257761i	−0.706332	+	0.707881i	$0.749651\pi$
$318$	−14.6725	+	8.47115i	−0.822791	+	0.475038i
$319$	9.71374	+	5.60823i	0.543865	+	0.314001i
$320$	18.2102	−	10.5137i	1.01798	−	0.587732i
$321$	−9.21641	+	15.9633i	−0.514410	+	0.890984i
$322$	0.149283	+	0.258565i	0.00831919	+	0.0144093i
$323$		−	60.1765i		−	3.34831i
$324$	2.53364	−	4.38838i	0.140758	−	0.243799i
$325$	15.9499	−	26.8825i	0.884741	−	1.49117i
$326$	−1.81204			−0.100359
$327$	−13.1129	+	7.57071i	−0.725143	+	0.418661i
$328$	−3.62516			−0.200166
$329$	2.10484			0.116044
$330$	9.45863	−	5.46094i	0.520680	−	0.300615i
$331$	26.2091	+	15.1318i	1.44058	+	0.831722i	0.997888	−	0.0649505i	$-0.0206890\pi$
$331$	26.2091	+	15.1318i	1.44058	+	0.831722i	0.442695	+	0.896672i	$0.354022\pi$
$332$	8.79765	+	5.07933i	0.482834	+	0.278764i
$333$		−	2.79458i		−	0.153142i
$334$	−4.63076			−0.253384
$335$	4.23432	+	7.33405i	0.231345	+	0.400702i
$336$		−	0.689247i		−	0.0376015i
$337$	−16.5282			−0.900349			−0.450175	−	0.892941i	$-0.648638\pi$
$337$	−16.5282			−0.900349			−0.450175	+	0.892941i	$0.648638\pi$
$338$	−10.1677	−	6.19739i	−0.553051	−	0.337094i
$339$	−14.8043			−0.804057
$340$	28.6266	+	16.5276i	1.55249	+	0.896332i
$341$	0.459918	+	13.1021i	0.0249060	+	0.709519i
$342$	4.02271	+	6.96753i	0.217523	+	0.376761i
$343$		−	17.8008i		−	0.961155i
$344$		−	6.18665i		−	0.333562i
$345$	−0.937593	+	0.541320i	−0.0504783	+	0.0291437i
$346$	−6.51985	+	3.76424i	−0.350509	+	0.202367i
$347$	5.41713			0.290807			0.145403	−	0.989372i	$-0.453552\pi$
$347$	5.41713			0.290807			0.145403	+	0.989372i	$0.453552\pi$
$348$	3.78745	+	6.56006i	0.203029	+	0.351656i
$349$	14.3196	+	8.26743i	0.766511	+	0.442545i	0.831629	−	0.555332i	$-0.187409\pi$
$349$	14.3196	+	8.26743i	0.766511	+	0.442545i	−0.0651177	+	0.997878i	$0.520742\pi$
$350$	6.05348	+	10.4849i	0.323572	+	0.560444i
$351$	20.3646	+	0.242231i	1.08698	+	0.0129293i
$352$	−6.46168	−	11.1920i	−0.344409	−	0.596533i
$353$	−12.2862	+	7.09345i	−0.653930	+	0.377546i	−0.789960	−	0.613158i	$-0.789899\pi$
$353$	−12.2862	+	7.09345i	−0.653930	+	0.377546i	0.136031	+	0.990705i	$0.456565\pi$
$354$	−13.9434			−0.741083
$355$	−35.4225			−1.88003
$356$		−	4.71340i		−	0.249810i
$357$	13.9265	−	8.04044i	0.737066	−	0.425545i
$358$			7.81363i			0.412963i
$359$	−2.53178	+	1.46172i	−0.133622	+	0.0771469i	−0.565321	−	0.824871i	$-0.691248\pi$
$359$	−2.53178	+	1.46172i	−0.133622	+	0.0771469i	0.431699	+	0.902018i	$0.357914\pi$
$360$	−12.0324			−0.634162
$361$	−42.0654			−2.21397
$362$		−	9.34370i		−	0.491094i
$363$	3.73617	+	6.47124i	0.196098	+	0.339652i
$364$	−5.56472	+	3.12514i	−0.291670	+	0.163802i
$365$	−9.90878	+	17.1625i	−0.518649	+	0.898327i
$366$	−2.30585	+	1.33128i	−0.120529	+	0.0695872i
$367$	−5.43845			−0.283885			−0.141942	−	0.989875i	$-0.545335\pi$
$367$	−5.43845			−0.283885			−0.141942	+	0.989875i	$0.545335\pi$
$368$	−0.0352824	−	0.0611109i	−0.00183922	−	0.00318563i
$369$	1.21878	+	0.703661i	0.0634470	+	0.0366311i
$370$	7.29173	−	4.20988i	0.379079	−	0.218861i
$371$	−17.8309	+	10.2947i	−0.925735	+	0.534473i
$372$	−4.15519	+	7.81819i	−0.215436	+	0.405354i
$373$	−7.69556	−	13.3291i	−0.398461	−	0.690155i	0.595075	−	0.803670i	$-0.297122\pi$
$373$	−7.69556	−	13.3291i	−0.398461	−	0.690155i	−0.993536	+	0.113515i	$0.963789\pi$
$374$	−8.30438	+	14.3836i	−0.429409	+	0.743759i
$375$	−16.0923	+	9.29090i	−0.831003	+	0.479780i
$376$	−3.99723			−0.206141
$377$	−8.76387	+	14.7709i	−0.451362	+	0.760740i
$378$	−3.94412	+	6.83142i	−0.202864	+	0.351370i
$379$	−2.70697	+	1.56287i	−0.139048	+	0.0802792i	−0.567910	−	0.823091i	$-0.692248\pi$
$379$	−2.70697	+	1.56287i	−0.139048	+	0.0802792i	0.428862	+	0.903370i	$0.358915\pi$
$380$	16.7717	−	29.0494i	0.860369	−	1.49020i
$381$	1.27171	−	2.20266i	0.0651516	−	0.112846i
$382$	−18.6369	+	10.7600i	−0.953546	+	0.550530i
$383$	−11.1043	−	6.41109i	−0.567405	−	0.327591i	0.188707	−	0.982033i	$-0.439570\pi$
$383$	−11.1043	−	6.41109i	−0.567405	−	0.327591i	−0.756112	+	0.654442i	$0.772904\pi$
$384$		−	7.89947i		−	0.403118i
$385$	11.4947	−	6.63648i	0.585825	−	0.338226i
$386$	4.02437			0.204835
$387$	−1.20086	+	2.07995i	−0.0610430	+	0.105730i
$388$	2.07678	+	1.19903i	0.105432	+	0.0608714i
$389$	−18.3603	+	31.8009i	−0.930903	+	1.61237i	−0.149122	+	0.988819i	$0.547645\pi$
$389$	−18.3603	+	31.8009i	−0.930903	+	1.61237i	−0.781781	+	0.623552i	$0.785689\pi$
$390$	8.18917	+	14.5819i	0.414675	+	0.738383i
$391$	0.823177	−	1.42579i	0.0416299	−	0.0721051i
$392$			13.5373i			0.683738i
$393$	−26.3143			−1.32738
$394$	5.25558	−	9.10293i	0.264772	−	0.458599i
$395$		−	11.4969i		−	0.578471i
$396$			3.07279i			0.154413i
$397$		−	19.1387i		−	0.960545i	−0.877119	−	0.480273i	$-0.840538\pi$
$397$		−	19.1387i		−	0.960545i	0.877119	−	0.480273i	$-0.159462\pi$
$398$	−2.04173	+	1.17880i	−0.102343	+	0.0590877i
$399$	−8.15920	−	14.1322i	−0.408471	−	0.707493i
$400$	−1.43072	−	2.47808i	−0.0715360	−	0.123904i
$401$	14.0011	+	8.08353i	0.699181	+	0.403672i	0.807042	−	0.590494i	$-0.201067\pi$
$401$	14.0011	+	8.08353i	0.699181	+	0.403672i	−0.107861	+	0.994166i	$0.534400\pi$
$402$	−2.87365			−0.143324
$403$	−20.0695	+	0.465576i	−0.999731	+	0.0231920i
$404$	−18.8808			−0.939353
$405$	−13.9748	−	8.06836i	−0.694414	−	0.400920i
$406$	−3.32616	−	5.76108i	−0.165075	−	0.285918i
$407$	−2.92714	−	5.06995i	−0.145093	−	0.251308i
$408$	−26.4472	+	15.2693i	−1.30933	+	0.755944i
$409$		−	14.8019i		−	0.731906i	−0.930633	−	0.365953i	$-0.880743\pi$
$409$		−	14.8019i		−	0.731906i	0.930633	−	0.365953i	$-0.119257\pi$
$410$			4.24011i			0.209404i
$411$		−	7.10902i		−	0.350662i
$412$	1.42529	−	2.46867i	0.0702188	−	0.121623i
$413$	−16.9449			−0.833804
$414$			0.220113i			0.0108179i
$415$	16.1751	−	28.0161i	0.794005	−	1.37526i
$416$	17.2541	−	9.68987i	0.845951	−	0.475085i
$417$	12.4370	−	21.5415i	0.609043	−	1.05489i
$418$	14.5961	+	8.42704i	0.713917	+	0.412180i
$419$	−8.80360	+	15.2483i	−0.430084	+	0.744928i	−0.996880	−	0.0789306i	$-0.974849\pi$
$419$	−8.80360	+	15.2483i	−0.430084	+	0.744928i	0.566796	+	0.823858i	$0.308183\pi$
$420$	8.96374			0.437386
$421$	−14.0617	+	8.11854i	−0.685327	+	0.395673i	−0.801859	−	0.597513i	$-0.796155\pi$
$421$	−14.0617	+	8.11854i	−0.685327	+	0.395673i	0.116532	+	0.993187i	$0.462822\pi$
$422$			15.6738i			0.762987i
$423$	1.34386	+	0.775881i	0.0653409	+	0.0377246i
$424$	33.8620	−	19.5503i	1.64449	−	0.949444i
$425$	33.3803	−	57.8163i	1.61918	−	2.80450i
$426$	6.00993	−	10.4095i	0.291182	−	0.504342i
$427$	−2.80221	+	1.61786i	−0.135609	+	0.0782936i
$428$	7.81233	−	13.5313i	0.377623	−	0.654062i
$429$	10.1388	−	5.69394i	0.489506	−	0.274906i
$430$	−7.23611			−0.348956
$431$	−10.9780	+	6.33817i	−0.528793	+	0.305299i	−0.740525	−	0.672029i	$-0.765423\pi$
$431$	−10.9780	+	6.33817i	−0.528793	+	0.305299i	0.211732	+	0.977328i	$0.432090\pi$
$432$	0.932179	−	1.61458i	0.0448495	−	0.0776816i
$433$	0.278480	+	0.482342i	0.0133829	+	0.0231799i	0.872639	−	0.488365i	$-0.162407\pi$
$433$	0.278480	+	0.482342i	0.0133829	+	0.0231799i	−0.859256	+	0.511545i	$0.829073\pi$
$434$	3.64911	−	6.86599i	0.175163	−	0.329578i
$435$	20.8905	−	12.0611i	1.00162	−	0.578287i
$436$	11.1152	−	6.41735i	0.532320	−	0.307335i
$437$	−1.44684	−	0.835336i	−0.0692120	−	0.0399595i
$438$	−3.36233	−	5.82372i	−0.160658	−	0.278268i
$439$	−36.6115			−1.74737			−0.873686	−	0.486490i	$-0.838277\pi$
$439$	−36.6115			−1.74737			−0.873686	+	0.486490i	$0.838277\pi$
$440$	−21.8292	+	12.6031i	−1.04067	+	0.600830i
$441$	2.62766	−	4.55124i	0.125127	−	0.216725i
$442$	−21.8720	−	12.9771i	−1.04034	−	0.617257i
$443$	9.82878	+	17.0240i	0.466980	+	0.808832i	0.999288	−	0.0377178i	$-0.0120088\pi$
$443$	9.82878	+	17.0240i	0.466980	+	0.808832i	−0.532309	+	0.846550i	$0.678675\pi$
$444$		−	3.95361i		−	0.187630i
$445$	−15.0098			−0.711534
$446$	−8.76475			−0.415023
$447$	−19.1371	+	11.0488i	−0.905154	+	0.522591i
$448$			8.67111i			0.409671i
$449$	28.0123	−	16.1729i	1.32198	−	0.763247i	0.337938	−	0.941168i	$-0.390270\pi$
$449$	28.0123	−	16.1729i	1.32198	−	0.763247i	0.984045	+	0.177921i	$0.0569371\pi$
$450$			8.92568i			0.420760i
$451$	2.94815			0.138823
$452$	12.5489			0.590250
$453$	7.79618	−	4.50113i	0.366297	−	0.211482i
$454$	4.83027	+	8.36626i	0.226696	+	0.392648i
$455$	9.95200	+	17.7208i	0.466557	+	0.830766i
$456$	15.4949	+	26.8379i	0.725613	+	1.25680i
$457$	35.5757	+	20.5397i	1.66416	+	0.960805i	0.970694	+	0.240318i	$0.0772518\pi$
$457$	35.5757	+	20.5397i	1.66416	+	0.960805i	0.693469	+	0.720487i	$0.256082\pi$
$458$	5.66414	+	9.81059i	0.264668	+	0.458419i
$459$	43.4975			2.03029
$460$	0.794755	−	0.458852i	0.0370556	−	0.0213941i
$461$	−24.4250	+	14.1018i	−1.13758	+	0.656784i	−0.945831	−	0.324659i	$-0.894751\pi$
$461$	−24.4250	+	14.1018i	−1.13758	+	0.656784i	−0.191753	+	0.981443i	$0.561417\pi$
$462$			4.50389i			0.209540i
$463$			29.4435i			1.36835i	0.729316	+	0.684177i	$0.239838\pi$
$463$			29.4435i			1.36835i	−0.729316	+	0.684177i	$0.760162\pi$
$464$	0.786127	+	1.36161i	0.0364950	+	0.0632113i
$465$	24.8970	+	13.2322i	1.15457	+	0.613628i
$466$	−24.0954	−	13.9115i	−1.11620	−	0.644436i
$467$	−2.37169			−0.109749			−0.0548743	−	0.998493i	$-0.517476\pi$
$467$	−2.37169			−0.109749			−0.0548743	+	0.998493i	$0.517476\pi$
$468$	−4.70485	−	0.0559629i	−0.217482	−	0.00258688i
$469$	−3.49224			−0.161256
$470$			4.67529i			0.215655i
$471$	4.51150	+	7.81415i	0.207879	+	0.360057i
$472$	32.1794			1.48118
$473$			5.03127i			0.231338i
$474$	3.37855	+	1.95061i	0.155182	+	0.0895944i
$475$	−58.6703	−	33.8733i	−2.69198	−	1.55421i
$476$	−11.8048	+	6.81552i	−0.541073	+	0.312389i
$477$	−15.1792			−0.695007
$478$	18.9470			0.866617
$479$	16.6948	−	9.63874i	0.762805	−	0.440405i	−0.0674972	−	0.997719i	$-0.521501\pi$
$479$	16.6948	−	9.63874i	0.762805	−	0.440405i	0.830302	+	0.557314i	$0.188168\pi$
$480$	−27.7932			−1.26858
$481$	7.81608	−	4.38950i	0.356383	−	0.200144i
$482$	8.73271	−	15.1255i	0.397764	−	0.688948i
$483$		−	0.446451i		−	0.0203142i
$484$	−3.16698	−	5.48538i	−0.143954	−	0.249335i
$485$	3.81830	−	6.61349i	0.173380	−	0.300303i
$486$	−8.70004	+	5.02297i	−0.394642	+	0.227847i
$487$	2.06672	+	1.19322i	0.0936521	+	0.0540701i	0.546095	−	0.837723i	$-0.316114\pi$
$487$	2.06672	+	1.19322i	0.0936521	+	0.0540701i	−0.452443	+	0.891794i	$0.649447\pi$
$488$	5.32158	−	3.07242i	0.240897	−	0.139082i
$489$	2.34656	+	1.35479i	0.106115	+	0.0612657i
$490$	15.8337			0.715294
$491$	15.2649			0.688896			0.344448	−	0.938805i	$-0.388066\pi$
$491$	15.2649			0.688896			0.344448	+	0.938805i	$0.388066\pi$
$492$	1.72426	+	0.995499i	0.0777354	+	0.0448806i
$493$	−18.3412	+	31.7679i	−0.826047	+	1.43075i
$494$	−13.1688	+	22.1951i	−0.592491	+	0.998603i
$495$	9.78529			0.439816
$496$	−0.862455	+	1.62275i	−0.0387254	+	0.0728637i
$497$	7.30365	−	12.6503i	0.327613	−	0.567443i
$498$	5.48867	+	9.50666i	0.245953	+	0.426004i
$499$	−21.8898	−	12.6381i	−0.979921	−	0.565758i	−0.0776747	−	0.996979i	$-0.524750\pi$
$499$	−21.8898	−	12.6381i	−0.979921	−	0.565758i	−0.902246	+	0.431221i	$0.858083\pi$
$500$	13.6407	−	7.87547i	0.610031	−	0.352202i
$501$	5.99678	+	3.46224i	0.267916	+	0.154682i
$502$	22.0467	+	12.7287i	0.983991	+	0.568108i
$503$	−0.636256			−0.0283693			−0.0141846	−	0.999899i	$-0.504515\pi$
$503$	−0.636256			−0.0283693			−0.0141846	+	0.999899i	$0.504515\pi$
$504$	2.48091	−	4.29707i	0.110509	−	0.191407i
$505$			60.1258i			2.67556i
$506$	0.230553	+	0.399330i	0.0102493	+	0.0177524i
$507$	8.53353	+	15.6276i	0.378987	+	0.694044i
$508$	−1.07797	+	1.86710i	−0.0478272	+	0.0828391i
$509$		−	11.3438i		−	0.502805i	−0.967883	−	0.251402i	$-0.919108\pi$
$509$		−	11.3438i		−	0.502805i	0.967883	−	0.251402i	$-0.0808917\pi$
$510$	17.8595	+	30.9336i	0.790833	+	1.36976i
$511$	−4.08612	−	7.07736i	−0.180759	−	0.313084i
$512$		−	3.72282i		−	0.164527i
$513$		−	44.1400i		−	1.94883i
$514$	18.7225	+	10.8095i	0.825815	+	0.476785i
$515$	−7.86148	−	4.53883i	−0.346418	−	0.200005i
$516$	−1.69890	+	2.94259i	−0.0747901	+	0.129540i
$517$	3.25073			0.142967
$518$			3.47209i			0.152555i
$519$	11.2575			0.494149
$520$	−18.8995	−	33.6530i	−0.828798	−	1.47578i
$521$	−2.75310	+	4.76850i	−0.120615	+	0.208912i	−0.920011	−	0.391894i	$-0.871820\pi$
$521$	−2.75310	+	4.76850i	−0.120615	+	0.208912i	0.799395	+	0.600806i	$0.205153\pi$
$522$		−	4.90433i		−	0.214656i
$523$	12.4746	−	21.6067i	0.545478	−	0.944795i	−0.453099	−	0.891460i	$-0.649682\pi$
$523$	12.4746	−	21.6067i	0.545478	−	0.944795i	0.998577	−	0.0533347i	$-0.0169850\pi$
$524$	22.3055			0.974418
$525$		−	18.1038i		−	0.790116i
$526$	10.4156	−	6.01343i	0.454141	−	0.262198i
$527$	−42.8492	+	1.50412i	−1.86654	+	0.0655205i
$528$		−	1.06448i		−	0.0463255i
$529$	11.4771	+	19.8790i	0.499006	+	0.864304i
$530$	−22.8666	−	39.6062i	−0.993264	−	1.72038i
$531$	−10.8187	−	6.24618i	−0.469492	−	0.271061i
$532$	6.91618	+	11.9792i	0.299855	+	0.519363i
$533$	−0.0536930	+	4.51402i	−0.00232570	+	0.195524i
$534$	2.54663	−	4.41089i	0.110203	−	0.190878i
$535$	−43.0906	−	24.8784i	−1.86297	−	1.07559i
$536$	6.63198			0.286458
$537$	5.84195	−	10.1186i	0.252099	−	0.436648i
$538$	10.2225	−	5.90196i	0.440723	−	0.254451i
$539$		−	11.0092i		−	0.474199i
$540$	20.9978	+	12.1231i	0.903603	+	0.521695i
$541$	29.1219	+	16.8135i	1.25205	+	0.722869i	0.971516	−	0.236976i	$-0.0761561\pi$
$541$	29.1219	+	16.8135i	1.25205	+	0.722869i	0.280531	+	0.959845i	$0.409489\pi$
$542$	−13.6063	−	23.5668i	−0.584440	−	1.01228i
$543$	−6.98593	+	12.1000i	−0.299795	+	0.519260i
$544$	36.6023	−	21.1323i	1.56931	−	0.906042i
$545$	−20.4360	−	35.3963i	−0.875384	−	1.51621i
$546$	−6.89606	−	0.0820267i	−0.295124	−	0.00351042i
$547$	−10.2288	−	17.7168i	−0.437353	−	0.757518i	0.560131	−	0.828404i	$-0.310751\pi$
$547$	−10.2288	−	17.7168i	−0.437353	−	0.757518i	−0.997484	+	0.0708861i	$0.977417\pi$
$548$			6.02599i			0.257417i
$549$	−2.38548			−0.101810
$550$	9.34905	+	16.1930i	0.398645	+	0.690473i
$551$	32.2371	+	18.6121i	1.37335	+	0.792903i
$552$			0.847840i			0.0360864i
$553$	4.10583	+	2.37050i	0.174598	+	0.100804i
$554$		−	1.70815i		−	0.0725724i
$555$	−12.5903			−0.534427
$556$	−10.5423	+	18.2598i	−0.447093	+	0.774387i
$557$	−25.6597	−	14.8146i	−1.08723	−	0.627715i	−0.154396	−	0.988009i	$-0.549343\pi$
$557$	−25.6597	−	14.8146i	−1.08723	−	0.627715i	−0.932839	+	0.360294i	$0.882676\pi$
$558$	4.86075	−	3.03856i	0.205772	−	0.128632i
$559$	−7.70356	−	0.0916316i	−0.325826	−	0.00387560i
$560$	1.86052			0.0786214
$561$	21.5081	−	12.4177i	0.908074	−	0.524277i
$562$	−4.92607	+	8.53220i	−0.207794	+	0.359909i
$563$	−4.02883	+	6.97813i	−0.169795	+	0.294093i	−0.938348	−	0.345693i	$-0.887644\pi$
$563$	−4.02883	+	6.97813i	−0.169795	+	0.294093i	0.768553	+	0.639786i	$0.220977\pi$
$564$	1.90122	+	1.09767i	0.0800560	+	0.0462203i
$565$		−	39.9619i		−	1.68121i
$566$	4.09154	−	2.36225i	0.171980	−	0.0992927i
$567$	5.76284	−	3.32718i	0.242016	−	0.139728i
$568$	−13.8701	+	24.0237i	−0.581976	+	1.00801i
$569$	−15.3020			−0.641494			−0.320747	−	0.947165i	$-0.603934\pi$
$569$	−15.3020			−0.641494			−0.320747	+	0.947165i	$0.603934\pi$
$570$	31.3905	−	18.1233i	1.31480	−	0.759102i
$571$	8.03737	+	13.9211i	0.336354	+	0.582582i	0.983744	−	0.179577i	$-0.0574729\pi$
$571$	8.03737	+	13.9211i	0.336354	+	0.582582i	−0.647390	+	0.762159i	$0.724140\pi$
$572$	−8.59419	+	4.82649i	−0.359341	+	0.201806i
$573$	32.1794			1.34431
$574$	−1.51425	−	0.874254i	−0.0632037	−	0.0364906i
$575$	−0.926731	−	1.60515i	−0.0386474	−	0.0669392i
$576$	−3.19632	+	5.53619i	−0.133180	+	0.230675i
$577$	24.3986	+	14.0865i	1.01573	+	0.586430i	0.912863	−	0.408265i	$-0.133866\pi$
$577$	24.3986	+	14.0865i	1.01573	+	0.586430i	0.102864	+	0.994695i	$0.467199\pi$
$578$	−33.5550	−	19.3730i	−1.39571	−	0.805811i
$579$	−5.21151	−	3.00887i	−0.216583	−	0.125044i
$580$	−17.7079	+	10.2237i	−0.735282	+	0.424515i
$581$	6.67018	+	11.5531i	0.276726	+	0.479303i
$582$	1.29566	+	2.24414i	0.0537067	+	0.0930228i
$583$	−27.5382	+	15.8992i	−1.14052	+	0.658477i
$584$	7.75980	+	13.4404i	0.321103	+	0.556166i
$585$	−0.178214	+	14.9826i	−0.00736823	+	0.619454i
$586$	7.11722	−	12.3274i	0.294009	−	0.509239i
$587$	19.9540	+	11.5204i	0.823589	+	0.475499i	0.851653	−	0.524107i	$-0.175601\pi$
$587$	19.9540	+	11.5204i	0.823589	+	0.475499i	−0.0280635	+	0.999606i	$0.508934\pi$
$588$	3.71746	−	6.43883i	0.153305	−	0.265533i
$589$	1.52634	+	43.4821i	0.0628916	+	1.79165i
$590$		−	37.6382i		−	1.54954i
$591$	−13.6118	+	7.85879i	−0.559916	+	0.323267i
$592$		−	0.820616i		−	0.0337271i
$593$		−	13.3664i		−	0.548890i	−0.961603	−	0.274445i	$-0.911506\pi$
$593$		−	13.3664i		−	0.548890i	0.961603	−	0.274445i	$-0.0884942\pi$
$594$	−6.09133	+	10.5505i	−0.249930	+	0.432892i
$595$	21.7040	+	37.5925i	0.889778	+	1.54114i
$596$	16.2216	−	9.36557i	0.664465	−	0.383629i
$597$	3.52536			0.144283
$598$	−0.615627	+	0.345735i	−0.0251749	+	0.0141382i
$599$	−2.58548	−	4.47818i	−0.105640	−	0.182974i	0.808360	−	0.588689i	$-0.200356\pi$
$599$	−2.58548	−	4.47818i	−0.105640	−	0.182974i	−0.913999	+	0.405715i	$0.867022\pi$
$600$			34.3803i			1.40357i
$601$	6.32775	+	10.9600i	0.258115	+	0.447067i	0.965737	−	0.259523i	$-0.0835655\pi$
$601$	6.32775	+	10.9600i	0.258115	+	0.447067i	−0.707622	+	0.706591i	$0.750232\pi$
$602$	1.49199	−	2.58420i	0.0608089	−	0.105324i
$603$	−2.22967	−	1.28730i	−0.0907991	−	0.0524229i
$604$	−6.60847	+	3.81540i	−0.268895	+	0.155246i
$605$	−17.4682	+	10.0853i	−0.710182	+	0.410024i
$606$	−17.6690	−	10.2012i	−0.717753	−	0.414395i
$607$	−16.8133	+	29.1214i	−0.682429	+	1.18200i	0.291808	+	0.956477i	$0.405743\pi$
$607$	−16.8133	+	29.1214i	−0.682429	+	1.18200i	−0.974237	+	0.225525i	$0.927590\pi$
$608$	−21.4445	−	37.1429i	−0.869688	−	1.50634i
$609$			9.94738i			0.403088i
$610$	−3.59360	−	6.22430i	−0.145501	−	0.252015i
$611$	−0.0592037	+	4.97731i	−0.00239513	+	0.201360i
$612$	−10.0493			−0.406218
$613$	−2.49134	+	1.43838i	−0.100624	+	0.0580955i	−0.549468	−	0.835515i	$-0.685169\pi$
$613$	−2.49134	+	1.43838i	−0.100624	+	0.0580955i	0.448843	+	0.893610i	$0.351836\pi$
$614$	−3.24349	−	5.61790i	−0.130897	−	0.226720i
$615$	3.17017	−	5.49089i	0.127834	−	0.221414i
$616$		−	10.3944i		−	0.418801i
$617$			3.31188i			0.133331i	0.997775	+	0.0666656i	$0.0212361\pi$
$617$			3.31188i			0.133331i	−0.997775	+	0.0666656i	$0.978764\pi$
$618$	2.66762	−	1.54015i	0.107307	−	0.0619540i
$619$			6.52923i			0.262432i	0.991354	+	0.131216i	$0.0418882\pi$
$619$			6.52923i			0.262432i	−0.991354	+	0.131216i	$0.958112\pi$
$620$	−21.1041	−	11.2163i	−0.847560	−	0.450458i
$621$	0.603808	−	1.04583i	0.0242300	−	0.0419675i
$622$	−13.5386	−	7.81652i	−0.542849	−	0.313414i
$623$	3.09483	−	5.36040i	0.123992	−	0.214760i
$624$	1.62986	+	0.0193867i	0.0652466	+	0.000776090i
$625$	−3.40588	−	5.89916i	−0.136235	−	0.235967i
$626$	13.6458	−	7.87839i	0.545395	−	0.314884i
$627$	−12.6011	−	21.8258i	−0.503241	−	0.871639i
$628$	−3.82419	−	6.62370i	−0.152602	−	0.264314i
$629$	16.5808	−	9.57293i	0.661120	−	0.381698i
$630$	−5.02600	−	2.90176i	−0.200240	−	0.115609i
$631$	25.4809	+	14.7114i	1.01438	+	0.585651i	0.912471	−	0.409142i	$-0.134172\pi$
$631$	25.4809	+	14.7114i	1.01438	+	0.585651i	0.101907	+	0.994794i	$0.467505\pi$
$632$	−7.79724	−	4.50174i	−0.310157	−	0.179069i
$633$	11.7187	−	20.2973i	0.465775	−	0.806746i
$634$	4.20366	+	7.28095i	0.166949	+	0.289163i
$635$	5.94577	+	3.43279i	0.235951	+	0.136226i
$636$	−21.4747			−0.851525
$637$	16.8565	+	0.200504i	0.667880	+	0.00794425i
$638$	−5.13695	−	8.89747i	−0.203374	−	0.352254i
$639$	9.32623	−	5.38450i	0.368940	−	0.213008i
$640$	21.3235			0.842884
$641$	−12.9233	+	22.3838i	−0.510439	+	0.884106i	0.489488	+	0.872010i	$0.337184\pi$
$641$	−12.9233	+	22.3838i	−0.510439	+	0.884106i	−0.999927	+	0.0120960i	$0.996150\pi$
$642$	14.6218	−	8.44193i	0.577078	−	0.333176i
$643$	31.9349	−	18.4376i	1.25939	−	0.727108i	0.286433	−	0.958100i	$-0.407530\pi$
$643$	31.9349	−	18.4376i	1.25939	−	0.727108i	0.972956	+	0.230992i	$0.0741971\pi$
$644$			0.378436i			0.0149125i
$645$	9.37068	+	5.41016i	0.368970	+	0.213025i
$646$	−27.5599	+	47.7351i	−1.08433	+	1.87811i
$647$	17.0168	−	29.4739i	0.668999	−	1.15874i	−0.309186	−	0.951002i	$-0.600056\pi$
$647$	17.0168	−	29.4739i	0.668999	−	1.15874i	0.978184	−	0.207738i	$-0.0666102\pi$
$648$	−10.9440	+	6.31852i	−0.429921	+	0.248215i
$649$	−26.1698			−1.02726
$650$	−24.9640	+	14.0197i	−0.979168	+	0.549900i
$651$	−9.85899	+	6.16307i	−0.386404	+	0.241550i
$652$	−1.98908	−	1.14839i	−0.0778982	−	0.0449746i
$653$	−9.90399	+	17.1542i	−0.387573	+	0.671297i	−0.992123	−	0.125271i	$-0.960020\pi$
$653$	−9.90399	+	17.1542i	−0.387573	+	0.671297i	0.604549	+	0.796568i	$0.293353\pi$
$654$	13.8690			0.542323
$655$		−	71.0317i		−	2.77544i
$656$	0.357888	+	0.206627i	0.0139732	+	0.00806742i
$657$		−	6.02485i		−	0.235052i
$658$	−1.66967	−	0.963982i	−0.0650904	−	0.0375799i
$659$	8.85996	+	15.3459i	0.345135	+	0.597791i	0.985378	−	0.170381i	$-0.0544998\pi$
$659$	8.85996	+	15.3459i	0.345135	+	0.597791i	−0.640243	+	0.768172i	$0.721166\pi$
$660$	13.8437			0.538864
$661$		−	2.83061i		−	0.110098i	−0.998484	−	0.0550490i	$-0.982468\pi$
$661$		−	2.83061i		−	0.110098i	0.998484	−	0.0550490i	$-0.0175315\pi$
$662$	−13.8603	−	24.0067i	−0.538695	−	0.933047i
$663$	18.6215	+	33.1580i	0.723199	+	1.28775i
$664$	−12.6671	−	21.9401i	−0.491579	−	0.851440i
$665$	38.1477	−	22.0246i	1.47930	−	0.854077i
$666$	−1.27987	+	2.21680i	−0.0495940	+	0.0858993i
$667$	0.509204	+	0.881968i	0.0197165	+	0.0341499i
$668$	−5.08319	−	2.93478i	−0.196675	−	0.113550i
$669$	11.3502	+	6.55307i	0.438826	+	0.253356i
$670$		−	7.75699i		−	0.299679i
$671$	−4.32776	+	2.49863i	−0.167071	+	0.0964587i
$672$	5.73057	−	9.92565i	0.221062	−	0.382890i
$673$	22.1436			0.853575			0.426787	−	0.904352i	$-0.359645\pi$
$673$	22.1436			0.853575			0.426787	+	0.904352i	$0.359645\pi$
$674$	13.1110	+	7.56965i	0.505018	+	0.291572i
$675$	24.4847	−	42.4088i	0.942417	−	1.63231i
$676$	−7.23348	−	13.2468i	−0.278211	−	0.509491i
$677$	−8.34053	−	14.4462i	−0.320552	−	0.555213i	0.660050	−	0.751222i	$-0.270535\pi$
$677$	−8.34053	−	14.4462i	−0.320552	−	0.555213i	−0.980602	+	0.196009i	$0.937202\pi$
$678$	11.7435	+	6.78010i	0.451006	+	0.260388i
$679$	1.57456	+	2.72723i	0.0604263	+	0.104661i
$680$	−41.2173	−	71.3905i	−1.58061	−	2.73770i
$681$		−	14.4456i		−	0.553557i
$682$	5.63572	−	10.6039i	0.215803	−	0.406044i
$683$	−7.72902	+	4.46235i	−0.295743	+	0.170747i	−0.640529	−	0.767934i	$-0.721285\pi$
$683$	−7.72902	+	4.46235i	−0.295743	+	0.170747i	0.344786	+	0.938681i	$0.387951\pi$
$684$			10.1977i			0.389919i
$685$	19.1898			0.733203
$686$	−8.15249	+	14.1205i	−0.311264	+	0.539125i
$687$		−	16.9395i		−	0.646280i
$688$	−0.352626	+	0.610767i	−0.0134438	+	0.0232853i
$689$	−23.8423	−	42.4543i	−0.908318	−	1.61738i
$690$	0.991662			0.0377519
$691$			30.6326i			1.16532i	0.812717	+	0.582659i	$0.197988\pi$
$691$			30.6326i			1.16532i	−0.812717	+	0.582659i	$0.802012\pi$
$692$	−9.54247			−0.362750
$693$	−2.01760	+	3.49458i	−0.0766421	+	0.132748i
$694$	−4.29714	−	2.48096i	−0.163117	−	0.0941759i
$695$	58.1483	+	33.5719i	2.20569	+	1.27346i
$696$		−	18.8907i		−	0.716050i
$697$			9.64166i			0.365204i
$698$	−7.57269	−	13.1163i	−0.286631	−	0.496459i
$699$	20.8021	+	36.0303i	0.786809	+	1.36279i
$700$			15.3458i			0.580016i
$701$	−9.06444	+	15.7001i	−0.342359	+	0.592983i	−0.984870	−	0.173293i	$-0.944559\pi$
$701$	−9.06444	+	15.7001i	−0.342359	+	0.592983i	0.642511	+	0.766276i	$0.277893\pi$
$702$	−16.0433	−	9.51880i	−0.605515	−	0.359264i
$703$	−9.71433	−	16.8257i	−0.366383	−	0.634594i
$704$			13.3917i			0.504720i
$705$	3.49554	−	6.05445i	0.131650	−	0.228024i
$706$	12.9947			0.489063
$707$	−21.4725	−	12.3971i	−0.807555	−	0.466242i
$708$	−15.3057	−	8.83674i	−0.575223	−	0.332105i
$709$	−15.6739	+	9.04936i	−0.588648	+	0.339856i	−0.764563	−	0.644550i	$-0.777045\pi$
$709$	−15.6739	+	9.04936i	−0.588648	+	0.339856i	0.175915	+	0.984405i	$0.443712\pi$
$710$	28.0989	+	16.2229i	1.05453	+	0.608836i
$711$	1.74762	+	3.02696i	0.0655408	+	0.113520i
$712$	−5.87727	+	10.1797i	−0.220260	+	0.381502i
$713$	−0.558644	+	1.05112i	−0.0209214	+	0.0393647i
$714$	−14.7296			−0.551240
$715$	15.3700	+	27.3682i	0.574804	+	1.02351i
$716$	−4.95196	+	8.57704i	−0.185063	+	0.320539i
$717$	−24.5362	−	14.1660i	−0.916320	−	0.529038i
$718$	2.67778			0.0999340
$719$	−24.1473			−0.900541			−0.450271	−	0.892892i	$-0.648672\pi$
$719$	−24.1473			−0.900541			−0.450271	+	0.892892i	$0.648672\pi$
$720$	1.18788	+	0.685821i	0.0442695	+	0.0255590i
$721$	3.24186	−	1.87169i	0.120733	−	0.0697053i
$722$	33.3684	+	19.2652i	1.24184	+	0.716978i
$723$	−22.6175	+	13.0582i	−0.841155	+	0.485641i
$724$	5.92165	−	10.2566i	0.220076	−	0.381184i
$725$	20.6485	+	35.7642i	0.766866	+	1.32825i
$726$		−	6.84442i		−	0.254020i
$727$	−8.75760	+	15.1686i	−0.324801	+	0.562573i	−0.981472	−	0.191605i	$-0.938631\pi$
$727$	−8.75760	+	15.1686i	−0.324801	+	0.562573i	0.656671	+	0.754177i	$0.271964\pi$
$728$	15.9152	+	0.189306i	0.589855	+	0.00701616i
$729$	28.1156			1.04132
$730$	15.7203	−	9.07612i	0.581835	−	0.335922i
$731$	−16.4543			−0.608585
$732$	−3.37484			−0.124738
$733$	39.3000	−	22.6898i	1.45158	−	0.838068i	0.453006	−	0.891507i	$-0.350352\pi$
$733$	39.3000	−	22.6898i	1.45158	−	0.838068i	0.998571	+	0.0534390i	$0.0170183\pi$
$734$	4.31405	+	2.49072i	0.159235	+	0.0919342i
$735$	−20.5045	−	11.8383i	−0.756318	−	0.436660i
$736$		−	1.17339i		−	0.0432517i
$737$	−5.39344			−0.198670
$738$	−0.644530	−	1.11636i	−0.0237255	−	0.0410937i
$739$		−	4.06623i		−	0.149579i	−0.997199	−	0.0747894i	$-0.976172\pi$
$739$		−	4.06623i		−	0.149579i	0.997199	−	0.0747894i	$-0.0238285\pi$
$740$	10.6722			0.392318
$741$	33.6478	−	18.8965i	1.23608	−	0.694182i
$742$	18.8592			0.692342
$743$	13.5889	+	7.84557i	0.498529	+	0.287826i	0.728106	−	0.685464i	$-0.240401\pi$
$743$	13.5889	+	7.84557i	0.498529	+	0.287826i	−0.229577	+	0.973291i	$0.573734\pi$
$744$	18.7229	−	11.7041i	0.686413	−	0.429092i
$745$	−29.8247	−	51.6578i	−1.09269	−	1.89260i
$746$			14.0978i			0.516156i
$747$			9.83498i			0.359843i
$748$	−18.2315	+	10.5259i	−0.666609	+	0.384867i
$749$	17.7694	−	10.2592i	0.649280	−	0.374862i
$750$	17.0203			0.621494
$751$	−6.87608	−	11.9097i	−0.250912	−	0.434592i	0.712865	−	0.701301i	$-0.247397\pi$
$751$	−6.87608	−	11.9097i	−0.250912	−	0.434592i	−0.963777	+	0.266709i	$0.914064\pi$
$752$	0.394620	+	0.227834i	0.0143903	+	0.00830825i
$753$	−19.0335	−	32.9669i	−0.693618	−	1.20138i
$754$	13.7168	−	7.70333i	0.499536	−	0.280539i
$755$	12.1501	+	21.0447i	0.442189	+	0.765894i
$756$	−8.65894	+	4.99924i	−0.314923	+	0.181821i
$757$	23.9787			0.871522			0.435761	−	0.900062i	$-0.356479\pi$
$757$	23.9787			0.871522			0.435761	+	0.900062i	$0.356479\pi$
$758$	2.86307			0.103992
$759$		−	0.689503i		−	0.0250274i
$760$	−72.4450	+	41.8261i	−2.62785	+	1.51719i
$761$		−	8.60218i		−	0.311829i	−0.987771	−	0.155914i	$-0.950168\pi$
$761$		−	8.60218i		−	0.311829i	0.987771	−	0.155914i	$-0.0498324\pi$
$762$	−2.01757	+	1.16484i	−0.0730888	+	0.0421978i
$763$	16.8545			0.610176
$764$	−27.2770			−0.986848
$765$			32.0019i			1.15703i
$766$	5.87235	+	10.1712i	0.212177	+	0.367501i
$767$	0.476616	−	40.0695i	0.0172096	−	1.44683i
$768$	−11.4076	+	19.7585i	−0.411636	+	0.712974i
$769$	−32.4651	+	18.7437i	−1.17072	+	0.675916i	−0.953850	−	0.300284i	$-0.902918\pi$
$769$	−32.4651	+	18.7437i	−1.17072	+	0.675916i	−0.216871	+	0.976200i	$0.569585\pi$
$770$	−12.1576			−0.438130
$771$	−16.1636	−	27.9962i	−0.582119	−	1.00826i
$772$	4.41756	+	2.55048i	0.158992	+	0.0917938i
$773$	6.14638	−	3.54861i	0.221070	−	0.127635i	−0.385376	−	0.922760i	$-0.625928\pi$
$773$	6.14638	−	3.54861i	0.221070	−	0.127635i	0.606446	+	0.795125i	$0.292595\pi$
$774$	1.90516	−	1.09995i	0.0684796	−	0.0395367i
$775$	−22.6533	+	42.6234i	−0.813731	+	1.53108i
$776$	−2.99020	−	5.17918i	−0.107342	−	0.185922i
$777$	2.59595	−	4.49631i	0.0931290	−	0.161304i
$778$	29.1286	−	16.8174i	1.04431	−	0.602933i
$779$	9.78407			0.350551
$780$	−0.252127	+	21.1965i	−0.00902758	+	0.758958i
$781$	11.2798	−	19.5372i	0.403624	−	0.699096i
$782$	−1.30597	+	0.754004i	−0.0467015	+	0.0269631i
$783$	−13.4534	+	23.3020i	−0.480787	+	0.832747i
$784$	0.771600	−	1.33645i	0.0275571	−	0.0477303i
$785$	−21.0932	+	12.1781i	−0.752847	+	0.434657i
$786$	20.8739	+	12.0515i	0.744546	+	0.429864i
$787$		−	30.0048i		−	1.06956i	−0.844993	−	0.534778i	$-0.820395\pi$
$787$		−	30.0048i		−	1.06956i	0.844993	−	0.534778i	$-0.179605\pi$
$788$	11.5381	−	6.66154i	0.411029	−	0.237307i
$789$	−17.9841			−0.640249
$790$	−5.26538	+	9.11991i	−0.187334	+	0.324472i
$791$	14.2714	+	8.23961i	0.507434	+	0.292967i
$792$	3.83154	−	6.63643i	0.136148	−	0.235815i
$793$	−3.74693	−	6.67189i	−0.133057	−	0.236926i
$794$	−8.76522	+	15.1818i	−0.311066	+	0.538782i
$795$			68.3860i			2.42540i
$796$	−2.98829			−0.105917
$797$	−0.261917	+	0.453654i	−0.00927758	+	0.0160692i	−0.870627	−	0.491944i	$-0.836287\pi$
$797$	−0.261917	+	0.453654i	−0.00927758	+	0.0160692i	0.861349	+	0.508013i	$0.169620\pi$
$798$			14.9471i			0.529123i
$799$			10.6312i			0.376106i
$800$		−	47.5815i		−	1.68226i
$801$	3.95187	−	2.28161i	0.139632	−	0.0806168i
$802$	−7.40425	−	12.8245i	−0.261453	−	0.452850i
$803$	−6.31063	−	10.9303i	−0.222697	−	0.385723i
$804$	−3.15441	−	1.82120i	−0.111247	−	0.0642287i
$805$	1.20513			0.0424753
$806$	16.1333	+	8.82217i	0.568273	+	0.310748i
$807$	−17.6507			−0.621333
$808$	40.7776	+	23.5429i	1.43455	+	0.828238i
$809$	−6.56087	−	11.3638i	−0.230668	−	0.399528i	0.727337	−	0.686281i	$-0.240758\pi$
$809$	−6.56087	−	11.3638i	−0.230668	−	0.399528i	−0.958005	+	0.286752i	$0.907424\pi$
$810$	7.39036	+	12.8005i	0.259671	+	0.449763i
$811$	9.09040	−	5.24834i	0.319207	−	0.184294i	−0.331832	−	0.943338i	$-0.607667\pi$
$811$	9.09040	−	5.24834i	0.319207	−	0.184294i	0.651039	+	0.759044i	$0.274333\pi$
$812$		−	8.43194i		−	0.295903i
$813$			40.6916i			1.42712i
$814$			5.36232i			0.187949i
$815$	−3.65706	+	6.33421i	−0.128101	+	0.221878i
$816$	3.48128			0.121869
$817$			16.6974i			0.584167i
$818$	−6.77902	+	11.7416i	−0.237023	+	0.410536i
$819$	−5.31392	−	3.15285i	−0.185684	−	0.110170i
$820$	−2.68721	+	4.65438i	−0.0938413	+	0.162538i
$821$	−16.3339	−	9.43040i	−0.570058	−	0.329123i	0.187114	−	0.982338i	$-0.440086\pi$
$821$	−16.3339	−	9.43040i	−0.570058	−	0.329123i	−0.757173	+	0.653215i	$0.773420\pi$
$822$	−3.25581	+	5.63923i	−0.113560	+	0.196691i
$823$	−7.14774			−0.249155			−0.124577	−	0.992210i	$-0.539757\pi$
$823$	−7.14774			−0.249155			−0.124577	+	0.992210i	$0.539757\pi$
$824$	−6.15650	+	3.55446i	−0.214472	+	0.123825i
$825$		−	27.9597i		−	0.973432i
$826$	13.4415	+	7.76048i	0.467691	+	0.270022i
$827$	35.7986	−	20.6683i	1.24484	−	0.718708i	0.274764	−	0.961512i	$-0.411400\pi$
$827$	35.7986	−	20.6683i	1.24484	−	0.718708i	0.970076	+	0.242803i	$0.0780669\pi$
$828$	−0.139498	+	0.241618i	−0.00484790	+	0.00839680i
$829$	−19.2294	+	33.3062i	−0.667863	+	1.15677i	0.310637	+	0.950528i	$0.399457\pi$
$829$	−19.2294	+	33.3062i	−0.667863	+	1.15677i	−0.978501	+	0.206244i	$0.933876\pi$
$830$	−25.6619	+	14.8159i	−0.890736	+	0.514267i
$831$	−1.27712	+	2.21204i	−0.0443028	+	0.0767347i
$832$	−20.5046	−	0.243896i	−0.710867	−	0.00845557i
$833$	36.0045			1.24748
$834$	−19.7313	+	11.3919i	−0.683240	+	0.394469i
$835$	−9.34582	+	16.1874i	−0.323425	+	0.560189i
$836$	10.6814	+	18.5008i	0.369424	+	0.639862i
$837$	−31.4303	+	1.10329i	−1.08639	+	0.0381351i
$838$	13.9669	−	8.06381i	0.482480	−	0.278560i
$839$	−10.1399	+	5.85428i	−0.350068	+	0.202112i	−0.664715	−	0.747097i	$-0.731447\pi$
$839$	−10.1399	+	5.85428i	−0.350068	+	0.202112i	0.314647	+	0.949209i	$0.398114\pi$
$840$	−19.3594	−	11.1771i	−0.667961	−	0.385648i
$841$	3.15443	+	5.46362i	0.108773	+	0.188401i
$842$	14.8726			0.512545
$843$	12.7584	−	7.36606i	0.439422	−	0.253701i
$844$	−9.93338	+	17.2051i	−0.341921	+	0.592225i
$845$	−42.1844	+	23.0350i	−1.45119	+	0.792429i
$846$	−0.710681	−	1.23094i	−0.0244337	−	0.0423205i
$847$		−	8.31778i		−	0.285802i
$848$	−4.45730			−0.153064
$849$	−7.06465			−0.242458
$850$	−52.9579	+	30.5752i	−1.81644	+	1.04872i
$851$		−	0.531544i		−	0.0182211i
$852$	13.1942	−	7.61769i	0.452027	−	0.260978i
$853$		−	16.4937i		−	0.564733i	−0.959307	−	0.282366i	$-0.908881\pi$
$853$		−	16.4937i		−	0.564733i	0.959307	−	0.282366i	$-0.0911194\pi$
$854$	2.96381			0.101419
$855$	32.4746			1.11061
$856$	−33.7452	+	19.4828i	−1.15339	+	0.665909i
$857$	−21.5917	−	37.3979i	−0.737558	−	1.27749i	−0.953592	−	0.301102i	$-0.902646\pi$
$857$	−21.5917	−	37.3979i	−0.737558	−	1.27749i	0.216034	−	0.976386i	$-0.430688\pi$
$858$	−10.6503	−	0.126683i	−0.363597	−	0.00432488i
$859$	7.28244	+	12.6136i	0.248474	+	0.430369i	0.963102	−	0.269135i	$-0.0867378\pi$
$859$	7.28244	+	12.6136i	0.248474	+	0.430369i	−0.714629	+	0.699504i	$0.753404\pi$
$860$	−7.94310	−	4.58595i	−0.270857	−	0.156380i
$861$	1.30729	+	2.26430i	0.0445524	+	0.0771670i
$862$	11.6111			0.395476
$863$	24.5389	−	14.1675i	0.835314	−	0.482269i	−0.0203546	−	0.999793i	$-0.506480\pi$
$863$	24.5389	−	14.1675i	0.835314	−	0.482269i	0.855669	+	0.517524i	$0.173146\pi$
$864$	26.8481	−	15.5008i	0.913391	−	0.527346i
$865$			30.3880i			1.03322i
$866$		−	0.510157i		−	0.0173358i
$867$	28.9689	+	50.1756i	0.983835	+	1.70405i
$868$	8.35701	−	5.22415i	0.283656	−	0.177319i
$869$	6.34108	+	3.66102i	0.215106	+	0.124192i
$870$	−22.0952			−0.749098
$871$	0.0982275	−	8.25808i	0.00332831	−	0.279814i
$872$	−32.0079			−1.08392
$873$			2.32165i			0.0785759i
$874$	0.765140	+	1.32526i	0.0258813	+	0.0448277i
$875$	20.6842			0.699253
$876$		−	8.52362i		−	0.287986i
$877$	−19.1622	−	11.0633i	−0.647061	−	0.373581i	0.140268	−	0.990114i	$-0.455203\pi$
$877$	−19.1622	−	11.0633i	−0.647061	−	0.373581i	−0.787329	+	0.616533i	$0.788537\pi$
$878$	29.0421	+	16.7675i	0.980124	+	0.565875i
$879$	−18.4334	+	10.6425i	−0.621744	+	0.358964i
$880$	2.87341			0.0968625
$881$	−46.5793			−1.56930			−0.784648	−	0.619941i	$-0.787157\pi$
$881$	−46.5793			−1.56930			−0.784648	+	0.619941i	$0.787157\pi$
$882$	−4.16878	+	2.40685i	−0.140370	+	0.0810428i
$883$	−21.9107			−0.737355			−0.368677	−	0.929557i	$-0.620189\pi$
$883$	−21.9107			−0.737355			−0.368677	+	0.929557i	$0.620189\pi$
$884$	−15.7846	−	28.1065i	−0.530894	−	0.945325i
$885$	−28.1406	+	48.7410i	−0.945936	+	1.63841i
$886$		−	18.0057i		−	0.604913i
$887$	−8.01825	−	13.8880i	−0.269226	−	0.466314i	0.699436	−	0.714695i	$-0.253435\pi$
$887$	−8.01825	−	13.8880i	−0.269226	−	0.466314i	−0.968662	+	0.248381i	$0.920101\pi$
$888$	−4.92987	+	8.53878i	−0.165435	+	0.286543i
$889$	−2.45188	+	1.41559i	−0.0822333	+	0.0474774i
$890$	11.9066	+	6.87426i	0.399109	+	0.230426i
$891$	8.90017	−	5.13852i	0.298167	−	0.172147i
$892$	−9.62109	−	5.55474i	−0.322138	−	0.185986i
$893$	10.7883			0.361015
$894$	20.2407			0.676950
$895$	27.3136	+	15.7695i	0.912993	+	0.527116i
$896$	−4.39661	+	7.61515i	−0.146880	+	0.254404i
$897$	1.05572	+	0.0125575i	0.0352495	+	0.000419283i
$898$	−29.6277			−0.988690
$899$	12.4472	−	23.4199i	0.415136	−	0.781099i
$900$	−5.65672	+	9.79773i	−0.188557	+	0.326591i
$901$	−51.9969	−	90.0612i	−1.73227	−	3.00037i
$902$	−2.33862	−	1.35021i	−0.0778677	−	0.0449569i
$903$	−3.86421	+	2.23101i	−0.128593	+	0.0742432i
$904$	−27.1024	−	15.6476i	−0.901411	−	0.520430i
$905$	−32.6622	−	18.8575i	−1.08573	−	0.626845i
$906$	−8.24577			−0.273947
$907$	0.521240	−	0.902815i	0.0173075	−	0.0299775i	−0.857242	−	0.514914i	$-0.827824\pi$
$907$	0.521240	−	0.902815i	0.0173075	−	0.0299775i	0.874549	+	0.484936i	$0.161157\pi$
$908$			12.2449i			0.406361i
$909$	−9.13959	−	15.8302i	−0.303141	−	0.525056i
$910$	0.221419	−	18.6149i	0.00733998	−	0.617079i
$911$	24.3275	−	42.1365i	0.806007	−	1.39605i	−0.109602	−	0.993976i	$-0.534958\pi$
$911$	24.3275	−	42.1365i	0.806007	−	1.39605i	0.915609	−	0.402070i	$-0.131709\pi$
$912$		−	3.53270i		−	0.116979i
$913$	10.3015	+	17.8427i	0.340929	+	0.590507i
$914$	−18.8137	−	32.5862i	−0.622300	−	1.07786i
$915$			10.7472i			0.355291i
$916$			14.3588i			0.474428i
$917$	25.3672	+	14.6458i	0.837700	+	0.483646i
$918$	−34.5045	−	19.9212i	−1.13882	−	0.657496i
$919$	13.4519	−	23.2994i	0.443738	−	0.768576i	−0.554226	−	0.832366i	$-0.686986\pi$
$919$	13.4519	−	23.2994i	0.443738	−	0.768576i	0.997963	+	0.0637904i	$0.0203189\pi$
$920$	−2.28862			−0.0754536
$921$			9.70014i			0.319631i
$922$	25.8335			0.850781
$923$	29.7087	+	17.6267i	0.977873	+	0.580191i
$924$	−2.85438	+	4.94393i	−0.0939022	+	0.162643i
$925$		−	21.5544i		−	0.708703i
$926$	13.4846	−	23.3561i	0.443132	−	0.767528i
$927$	2.75975			0.0906420
$928$			26.1442i			0.858227i
$929$	−23.5038	+	13.5699i	−0.771133	+	0.445214i	−0.833279	−	0.552853i	$-0.813539\pi$
$929$	−23.5038	+	13.5699i	−0.771133	+	0.445214i	0.0621453	+	0.998067i	$0.480206\pi$
$930$	−13.6895	−	21.8989i	−0.448896	−	0.718093i
$931$		−	36.5363i		−	1.19743i
$932$	−17.6330	−	30.5413i	−0.577588	−	1.00041i
$933$	11.6882	+	20.2446i	0.382655	+	0.662778i
$934$	1.88134	+	1.08619i	0.0615594	+	0.0355414i
$935$	33.5199	+	58.0581i	1.09622	+	1.89870i
$936$	10.0915	+	5.98747i	0.329850	+	0.195707i
$937$	0.669439	−	1.15950i	0.0218696	−	0.0378793i	−0.854883	−	0.518820i	$-0.826371\pi$
$937$	0.669439	−	1.15950i	0.0218696	−	0.0378793i	0.876753	+	0.480941i	$0.159705\pi$
$938$	2.77022	+	1.59939i	0.0904509	+	0.0522218i
$939$	−23.5615			−0.768900
$940$	−2.96301	+	5.13208i	−0.0966426	+	0.167390i
$941$	−8.03595	+	4.63956i	−0.261964	+	0.151245i	−0.625230	−	0.780440i	$-0.714995\pi$
$941$	−8.03595	+	4.63956i	−0.261964	+	0.151245i	0.363266	+	0.931685i	$0.381662\pi$
$942$		−	8.26477i		−	0.269281i
$943$	0.231818	+	0.133840i	0.00754902	+	0.00435843i
$944$	−3.17686	−	1.83416i	−0.103398	−	0.0596969i
$945$	15.9201	+	27.5744i	0.517880	+	0.896995i
$946$	2.30424	−	3.99106i	0.0749173	−	0.129761i
$947$	−22.6145	+	13.0565i	−0.734872	+	0.424279i	−0.820202	−	0.572074i	$-0.806139\pi$
$947$	−22.6145	+	13.0565i	−0.734872	+	0.424279i	0.0853298	+	0.996353i	$0.472806\pi$
$948$	2.47243	+	4.28237i	0.0803008	+	0.139085i
$949$	16.8507	−	9.46336i	0.546998	−	0.307194i
$950$	31.0268	+	53.7401i	1.00664	+	1.74356i
$951$		−	12.5716i		−	0.407664i
$952$	33.9938			1.10175
$953$	−8.55977	−	14.8259i	−0.277278	−	0.480260i	0.693429	−	0.720525i	$-0.256099\pi$
$953$	−8.55977	−	14.8259i	−0.277278	−	0.480260i	−0.970707	+	0.240265i	$0.922766\pi$
$954$	12.0409	+	6.95182i	0.389839	+	0.225073i
$955$			86.8636i			2.81084i
$956$	20.7982	+	12.0078i	0.672662	+	0.388361i
$957$			15.3628i			0.496609i
$958$	−17.6575			−0.570489
$959$	−3.95667	+	6.85315i	−0.127768	+	0.221300i
$960$	24.9419	+	14.4002i	0.804997	+	0.464765i
$961$	30.9237	−	2.17368i	0.997539	−	0.0701188i
$962$	−8.21043	−	0.0976608i	−0.264715	−	0.00314871i
$963$	15.1268			0.487455
$964$	19.1718	−	11.0689i	0.617483	−	0.356504i
$965$	8.12201	−	14.0677i	0.261457	−	0.452856i
$966$	−0.204467	+	0.354148i	−0.00657863	+	0.0113945i
$967$	−1.46910	−	0.848184i	−0.0472430	−	0.0272758i	0.476192	−	0.879341i	$-0.342017\pi$
$967$	−1.46910	−	0.848184i	−0.0472430	−	0.0272758i	−0.523435	+	0.852065i	$0.675350\pi$
$968$			15.7960i			0.507702i
$969$	71.3794	−	41.2109i	2.29304	−	1.32389i
$970$	−6.05774	+	3.49744i	−0.194502	+	0.112296i
$971$	−5.81443	+	10.0709i	−0.186594	+	0.323190i	−0.944113	−	0.329623i	$-0.893078\pi$
$971$	−5.81443	+	10.0709i	−0.186594	+	0.323190i	0.757518	+	0.652814i	$0.226412\pi$
$972$	−12.7334			−0.408424
$973$	−23.9788	+	13.8442i	−0.768724	+	0.443823i
$974$	−1.09295	−	1.89305i	−0.0350205	−	0.0606572i
$975$	42.8101	+	0.509214i	1.37102	+	0.0163079i
$976$	−0.700486			−0.0224220
$977$	−40.6143	−	23.4487i	−1.29937	−	0.750189i	−0.319071	−	0.947731i	$-0.603371\pi$
$977$	−40.6143	−	23.4487i	−1.29937	−	0.750189i	−0.980294	+	0.197542i	$0.936704\pi$
$978$	−1.24094	−	2.14938i	−0.0396810	−	0.0687295i
$979$	4.77968	−	8.27864i	0.152759	−	0.264587i
$980$	17.3807	+	10.0347i	0.555206	+	0.320548i
$981$	10.7610	+	6.21288i	0.343573	+	0.198362i
$982$	−12.1089	−	6.99108i	−0.386411	−	0.223094i
$983$	32.3172	−	18.6583i	1.03076	−	0.595109i	0.113557	−	0.993532i	$-0.463776\pi$
$983$	32.3172	−	18.6583i	1.03076	−	0.595109i	0.917202	+	0.398423i	$0.130442\pi$
$984$	−2.48263	−	4.30004i	−0.0791434	−	0.137080i
$985$	−21.2137	−	36.7432i	−0.675924	−	1.17073i
$986$	29.0984	−	16.7999i	0.926681	−	0.535019i
$987$	1.44147	+	2.49669i	0.0458823	+	0.0794705i
$988$	−28.5217	+	16.0177i	−0.907396	+	0.509592i
$989$	−0.228409	+	0.395617i	−0.00726300	+	0.0125799i
$990$	−7.76219	−	4.48150i	−0.246699	−	0.142432i
$991$	−7.42544	+	12.8612i	−0.235877	+	0.408551i	−0.959527	−	0.281616i	$-0.909130\pi$
$991$	−7.42544	+	12.8612i	−0.235877	+	0.408551i	0.723650	+	0.690167i	$0.242463\pi$
$992$	−25.9119	+	16.1981i	−0.822705	+	0.514291i
$993$			41.4512i			1.31541i
$994$	−11.5872	+	6.68990i	−0.367525	+	0.212191i
$995$			9.51620i			0.301684i
$996$			13.9140i			0.440881i
$997$	0.635215	−	1.10022i	0.0201175	−	0.0348445i	−0.855791	−	0.517321i	$-0.826929\pi$
$997$	0.635215	−	1.10022i	0.0201175	−	0.0348445i	0.875909	+	0.482477i	$0.160263\pi$
$998$	11.5761	+	20.0503i	0.366434	+	0.634682i
$999$	12.1622	−	7.02183i	0.384794	−	0.222161i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	403.2.s.a.160.14	✓	70
13.10	even	6		403.2.v.a.36.14	yes	70
31.25	even	3		403.2.v.a.56.14	yes	70
403.335	even	6	inner	403.2.s.a.335.14	yes	70

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
403.2.s.a.160.14	✓	70	1.1	even	1	trivial
403.2.s.a.335.14	yes	70	403.335	even	6	inner
403.2.v.a.36.14	yes	70	13.10	even	6
403.2.v.a.56.14	yes	70	31.25	even	3

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:	\( N \)	\(=\)	\( 403 = 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	403.s (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.793251 - 0.457984i) q^{2} +(0.684833 + 1.18617i) q^{3} +(-0.580502 - 1.00546i) q^{4} +(-3.20188 + 1.84861i) q^{5} -1.25457i q^{6} -1.52463i q^{7} +2.89538i q^{8} +(0.562006 - 0.973423i) q^{9} +O(q^{10})\)	\(q+(-0.793251 - 0.457984i) q^{2} +(0.684833 + 1.18617i) q^{3} +(-0.580502 - 1.00546i) q^{4} +(-3.20188 + 1.84861i) q^{5} -1.25457i q^{6} -1.52463i q^{7} +2.89538i q^{8} +(0.562006 - 0.973423i) q^{9} +3.38653 q^{10} -2.35466i q^{11} +(0.795094 - 1.37714i) q^{12} +(3.60530 + 0.0428840i) q^{13} +(-0.698257 + 1.20942i) q^{14} +(-4.38552 - 2.53198i) q^{15} +(0.165031 - 0.285841i) q^{16} +7.70069 q^{17} +(-0.891624 + 0.514779i) q^{18} -7.81443i q^{19} +(3.71740 + 2.14624i) q^{20} +(1.80847 - 1.04412i) q^{21} +(-1.07839 + 1.86783i) q^{22} +(0.106897 - 0.185150i) q^{23} +(-3.43440 + 1.98285i) q^{24} +(4.33471 - 7.50794i) q^{25} +(-2.84026 - 1.68518i) q^{26} +5.64852 q^{27} +(-1.53296 + 0.885053i) q^{28} +(-2.38176 + 4.12533i) q^{29} +(2.31921 + 4.01699i) q^{30} +(-5.56434 + 0.195323i) q^{31} +(4.75312 - 2.74421i) q^{32} +(2.79301 - 1.61255i) q^{33} +(-6.10858 - 3.52679i) q^{34} +(2.81845 + 4.88170i) q^{35} -1.30498 q^{36} +(2.15316 - 1.24313i) q^{37} +(-3.57888 + 6.19881i) q^{38} +(2.41816 + 4.30585i) q^{39} +(-5.35242 - 9.27066i) q^{40} +1.25205i q^{41} -1.91276 q^{42} -2.13673 q^{43} +(-2.36751 + 1.36688i) q^{44} +4.15572i q^{45} +(-0.169592 + 0.0979137i) q^{46} +1.38056i q^{47} +0.452074 q^{48} +4.67549 q^{49} +(-6.87703 + 3.97045i) q^{50} +(5.27369 + 9.13430i) q^{51} +(-2.04976 - 3.64987i) q^{52} +(-6.75223 - 11.6952i) q^{53} +(-4.48070 - 2.58693i) q^{54} +(4.35284 + 7.53934i) q^{55} +4.41439 q^{56} +(9.26922 - 5.35159i) q^{57} +(3.77867 - 2.18162i) q^{58} -11.1141i q^{59} +5.87928i q^{60} +(-1.06115 - 1.83796i) q^{61} +(4.50337 + 2.39344i) q^{62} +(-1.48411 - 0.856853i) q^{63} -5.68734 q^{64} +(-11.6230 + 6.52747i) q^{65} -2.95408 q^{66} -2.29054i q^{67} +(-4.47027 - 7.74273i) q^{68} +0.292825 q^{69} -5.16322i q^{70} +(8.29727 + 4.79043i) q^{71} +(2.81843 + 1.62722i) q^{72} +(4.64201 - 2.68006i) q^{73} -2.27733 q^{74} +11.8742 q^{75} +(-7.85709 + 4.53629i) q^{76} -3.58999 q^{77} +(0.0538009 - 4.52310i) q^{78} +(-1.55480 + 2.69300i) q^{79} +1.22031i q^{80} +(2.18228 + 3.77982i) q^{81} +(0.573419 - 0.993191i) q^{82} +(-7.57762 + 4.37494i) q^{83} +(-2.09964 - 1.21223i) q^{84} +(-24.6567 + 14.2356i) q^{85} +(1.69497 + 0.978589i) q^{86} -6.52444 q^{87} +6.81762 q^{88} +(3.51586 + 2.02988i) q^{89} +(1.90325 - 3.29653i) q^{90} +(0.0653823 - 5.49675i) q^{91} -0.248215 q^{92} +(-4.04233 - 6.46647i) q^{93} +(0.632272 - 1.09513i) q^{94} +(14.4458 + 25.0209i) q^{95} +(6.51019 + 3.75866i) q^{96} +(-1.78878 + 1.03275i) q^{97} +(-3.70884 - 2.14130i) q^{98} +(-2.29208 - 1.32333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 70 q - 6 q^{2} - 2 q^{3} + 30 q^{4} - 29 q^{9}+O(q^{10}) \) 70 * q - 6 * q^2 - 2 * q^3 + 30 * q^4 - 29 * q^9	\( 70 q - 6 q^{2} - 2 q^{3} + 30 q^{4} - 29 q^{9} + 2 q^{10} + 13 q^{12} + q^{13} - 14 q^{14} - 15 q^{15} - 28 q^{16} - 12 q^{17} - 3 q^{20} - 9 q^{21} + 4 q^{22} + 10 q^{23} + 18 q^{24} + 19 q^{25} + 6 q^{26} + 34 q^{27} - 33 q^{28} - 18 q^{29} - 31 q^{30} - 2 q^{31} + 36 q^{32} - 12 q^{33} + 9 q^{34} - 12 q^{35} - 16 q^{36} - 18 q^{37} - 21 q^{38} - 30 q^{39} + 5 q^{40} + 98 q^{42} - 38 q^{43} + 42 q^{44} - 6 q^{46} + 54 q^{48} - 18 q^{49} - 51 q^{50} - 7 q^{51} + 41 q^{52} - 22 q^{53} + 18 q^{54} - 15 q^{55} - 50 q^{56} + 15 q^{57} - 12 q^{58} - 13 q^{61} - 23 q^{62} - 6 q^{63} - 38 q^{64} - 12 q^{65} - 52 q^{66} - 44 q^{68} + 32 q^{69} + 27 q^{71} - 15 q^{72} - 9 q^{73} + 38 q^{74} - 50 q^{75} + 126 q^{76} + 34 q^{77} + 14 q^{78} + 6 q^{79} - 11 q^{81} + 39 q^{82} - 54 q^{83} + 15 q^{84} - 33 q^{85} - 24 q^{86} + 28 q^{87} - 32 q^{88} - 6 q^{89} - 11 q^{90} - 70 q^{91} - 6 q^{92} + 14 q^{93} - 43 q^{94} + 25 q^{95} + 36 q^{96} - 75 q^{97} + 93 q^{99}+O(q^{100}) \) 70 * q - 6 * q^2 - 2 * q^3 + 30 * q^4 - 29 * q^9 + 2 * q^10 + 13 * q^12 + q^13 - 14 * q^14 - 15 * q^15 - 28 * q^16 - 12 * q^17 - 3 * q^20 - 9 * q^21 + 4 * q^22 + 10 * q^23 + 18 * q^24 + 19 * q^25 + 6 * q^26 + 34 * q^27 - 33 * q^28 - 18 * q^29 - 31 * q^30 - 2 * q^31 + 36 * q^32 - 12 * q^33 + 9 * q^34 - 12 * q^35 - 16 * q^36 - 18 * q^37 - 21 * q^38 - 30 * q^39 + 5 * q^40 + 98 * q^42 - 38 * q^43 + 42 * q^44 - 6 * q^46 + 54 * q^48 - 18 * q^49 - 51 * q^50 - 7 * q^51 + 41 * q^52 - 22 * q^53 + 18 * q^54 - 15 * q^55 - 50 * q^56 + 15 * q^57 - 12 * q^58 - 13 * q^61 - 23 * q^62 - 6 * q^63 - 38 * q^64 - 12 * q^65 - 52 * q^66 - 44 * q^68 + 32 * q^69 + 27 * q^71 - 15 * q^72 - 9 * q^73 + 38 * q^74 - 50 * q^75 + 126 * q^76 + 34 * q^77 + 14 * q^78 + 6 * q^79 - 11 * q^81 + 39 * q^82 - 54 * q^83 + 15 * q^84 - 33 * q^85 - 24 * q^86 + 28 * q^87 - 32 * q^88 - 6 * q^89 - 11 * q^90 - 70 * q^91 - 6 * q^92 + 14 * q^93 - 43 * q^94 + 25 * q^95 + 36 * q^96 - 75 * q^97 + 93 * q^99

Introduction

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