LMFDB - Embedded newform 627.2.be.a.10.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [627,2,Mod(10,627)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(627, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 17]))

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

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

chi := DirichletCharacter("627.10");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 627 = 3 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	627.be (of order $18$, degree $6$, 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:	$5.00662020673$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$40$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			10.4
Character	$\chi$	$=$	627.10
Dual form			627.2.be.a.439.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.434923 - 2.46657i) q^{2} +(-0.642788 - 0.766044i) q^{3} +(-4.01544 + 1.46150i) q^{4} +(3.32981 + 1.21195i) q^{5} +(-1.60994 + 1.91865i) q^{6} +(-1.37672 - 0.794852i) q^{7} +(2.84668 + 4.93059i) q^{8} +(-0.173648 + 0.984808i) q^{9} +(1.54116 - 8.74033i) q^{10} +(-3.31472 - 0.112489i) q^{11} +(3.70065 + 2.13657i) q^{12} +(-4.02145 - 3.37440i) q^{13} +(-1.36179 + 3.74149i) q^{14} +(-1.21195 - 3.32981i) q^{15} +(4.37674 - 3.67252i) q^{16} +(-3.92698 + 0.692432i) q^{17} +2.50462 q^{18} +(-0.906427 + 4.26361i) q^{19} -15.1419 q^{20} +(0.276049 + 1.56555i) q^{21} +(1.16418 + 8.22491i) q^{22} +(-7.37713 + 2.68506i) q^{23} +(1.94724 - 5.35000i) q^{24} +(5.78859 + 4.85720i) q^{25} +(-6.57418 + 11.3868i) q^{26} +(0.866025 - 0.500000i) q^{27} +(6.68982 + 1.17960i) q^{28} +(1.02313 - 5.80247i) q^{29} +(-7.68611 + 4.43758i) q^{30} +(-6.35057 - 3.66650i) q^{31} +(-2.23936 - 1.87905i) q^{32} +(2.04449 + 2.61153i) q^{33} +(3.41587 + 9.38502i) q^{34} +(-3.62091 - 4.31523i) q^{35} +(-0.742023 - 4.20822i) q^{36} +2.01404i q^{37} +(10.9107 + 0.381423i) q^{38} +5.24964i q^{39} +(3.50326 + 19.8680i) q^{40} +(2.33617 - 1.96028i) q^{41} +(3.74149 - 1.36179i) q^{42} +(1.80004 - 4.94556i) q^{43} +(13.4744 - 4.39276i) q^{44} +(-1.77176 + 3.06877i) q^{45} +(9.83137 + 17.0284i) q^{46} +(1.81778 - 10.3091i) q^{47} +(-5.62663 - 0.992126i) q^{48} +(-2.23642 - 3.87359i) q^{49} +(9.46305 - 16.3905i) q^{50} +(3.05465 + 2.56315i) q^{51} +(21.0796 + 7.67234i) q^{52} +(-0.724349 - 1.99013i) q^{53} +(-1.60994 - 1.91865i) q^{54} +(-10.9010 - 4.39185i) q^{55} -9.05075i q^{56} +(3.84876 - 2.04623i) q^{57} -14.7572 q^{58} +(-4.99240 + 0.880295i) q^{59} +(9.73303 + 11.5994i) q^{60} +(2.12626 + 5.84186i) q^{61} +(-6.28168 + 17.2588i) q^{62} +(1.02184 - 1.21778i) q^{63} +(2.05257 - 3.55516i) q^{64} +(-9.30107 - 16.1099i) q^{65} +(5.55233 - 6.17869i) q^{66} +(13.1297 + 2.31512i) q^{67} +(14.7565 - 8.51969i) q^{68} +(6.79880 + 3.92529i) q^{69} +(-9.06901 + 10.8080i) q^{70} +(-3.19573 + 8.78020i) q^{71} +(-5.35000 + 1.94724i) q^{72} +(4.38962 + 5.23135i) q^{73} +(4.96777 - 0.875953i) q^{74} -7.55647i q^{75} +(-2.59157 - 18.4450i) q^{76} +(4.47404 + 2.78958i) q^{77} +(12.9486 - 2.28319i) q^{78} +(-1.11072 + 0.932009i) q^{79} +(19.0246 - 6.92440i) q^{80} +(-0.939693 - 0.342020i) q^{81} +(-5.85123 - 4.90977i) q^{82} +(-3.08796 - 1.78283i) q^{83} +(-3.39651 - 5.88293i) q^{84} +(-13.9153 - 2.45364i) q^{85} +(-12.9814 - 2.28898i) q^{86} +(-5.10261 + 2.94599i) q^{87} +(-8.88129 - 16.6637i) q^{88} +(1.46971 - 1.75153i) q^{89} +(8.33992 + 3.03548i) q^{90} +(2.85428 + 7.84208i) q^{91} +(25.6982 - 21.5633i) q^{92} +(1.27336 + 7.22160i) q^{93} -26.2188 q^{94} +(-8.18552 + 13.0985i) q^{95} +2.92328i q^{96} +(14.8666 - 2.62139i) q^{97} +(-8.58183 + 7.20101i) q^{98} +(0.686375 - 3.24483i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 6 q^{11} - 48 q^{14} + 24 q^{15} - 216 q^{20} + 24 q^{26} - 36 q^{31} - 6 q^{33} - 132 q^{34} + 180 q^{38} + 12 q^{42} - 24 q^{44} - 12 q^{45} + 72 q^{47} + 48 q^{48} + 132 q^{49} + 108 q^{53} - 30 q^{55}+ \cdots - 12 q^{99}+O(q^{100}) $ 240 * q + 6 * q^11 - 48 * q^14 + 24 * q^15 - 216 * q^20 + 24 * q^26 - 36 * q^31 - 6 * q^33 - 132 * q^34 + 180 * q^38 + 12 * q^42 - 24 * q^44 - 12 * q^45 + 72 * q^47 + 48 * q^48 + 132 * q^49 + 108 * q^53 - 30 * q^55 - 24 * q^58 + 48 * q^60 - 120 * q^64 - 48 * q^66 + 48 * q^67 - 228 * q^70 - 84 * q^71 - 72 * q^77 + 84 * q^78 - 24 * q^80 - 156 * q^82 + 48 * q^86 + 108 * q^88 + 144 * q^89 - 24 * q^91 - 60 * q^92 - 24 * q^93 - 12 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/627\mathbb{Z}\right)^\times$.

$n$	$343$	$419$	$496$
$\chi(n)$	$-1$	$1$	$e\left(\frac{17}{18}\right)$

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 $

$2$	−0.434923	−	2.46657i	−0.307537	−	1.74413i	−0.611315	−	0.791387i	$-0.709359\pi$
$2$	−0.434923	−	2.46657i	−0.307537	−	1.74413i	0.303778	−	0.952743i	$-0.401752\pi$
$3$	−0.642788	−	0.766044i	−0.371114	−	0.442276i
$3$	−0.642788	−	0.766044i	−0.371114	−	0.442276i
$4$	−4.01544	+	1.46150i	−2.00772	+	0.730750i
$5$	3.32981	+	1.21195i	1.48914	+	0.542001i	0.953222	−	0.302271i	$-0.0977447\pi$
$5$	3.32981	+	1.21195i	1.48914	+	0.542001i	0.535915	+	0.844272i	$0.319967\pi$
$6$	−1.60994	+	1.91865i	−0.657256	+	0.783287i
$7$	−1.37672	−	0.794852i	−0.520353	−	0.300426i	0.216726	−	0.976232i	$-0.430462\pi$
$7$	−1.37672	−	0.794852i	−0.520353	−	0.300426i	−0.737079	+	0.675807i	$0.763795\pi$
$8$	2.84668	+	4.93059i	1.00645	+	1.74323i
$9$	−0.173648	+	0.984808i	−0.0578827	+	0.328269i
$10$	1.54116	−	8.74033i	0.487356	−	2.76393i
$11$	−3.31472	−	0.112489i	−0.999425	−	0.0339168i
$11$	−3.31472	−	0.112489i	−0.999425	−	0.0339168i
$12$	3.70065	+	2.13657i	1.06828	+	0.616774i
$13$	−4.02145	−	3.37440i	−1.11535	−	0.935890i	−0.116991	−	0.993133i	$-0.537325\pi$
$13$	−4.02145	−	3.37440i	−1.11535	−	0.935890i	−0.998360	+	0.0572425i	$0.981769\pi$
$14$	−1.36179	+	3.74149i	−0.363954	+	0.999955i
$15$	−1.21195	−	3.32981i	−0.312925	−	0.859754i
$16$	4.37674	−	3.67252i	1.09419	−	0.918130i
$17$	−3.92698	+	0.692432i	−0.952432	+	0.167939i	−0.628212	−	0.778042i	$-0.716213\pi$
$17$	−3.92698	+	0.692432i	−0.952432	+	0.167939i	−0.324220	+	0.945982i	$0.605102\pi$
$18$	2.50462			0.590345
$19$	−0.906427	+	4.26361i	−0.207949	+	0.978140i
$19$	−0.906427	+	4.26361i	−0.207949	+	0.978140i
$20$	−15.1419			−3.38583
$21$	0.276049	+	1.56555i	0.0602389	+	0.341632i
$22$	1.16418	+	8.22491i	0.248205	+	1.75356i
$23$	−7.37713	+	2.68506i	−1.53824	+	0.559873i	−0.965622	−	0.259951i	$-0.916294\pi$
$23$	−7.37713	+	2.68506i	−1.53824	+	0.559873i	−0.572616	+	0.819824i	$0.694071\pi$
$24$	1.94724	−	5.35000i	0.397479	−	1.09206i
$25$	5.78859	+	4.85720i	1.15772	+	0.971441i
$26$	−6.57418	+	11.3868i	−1.28930	+	2.23314i
$27$	0.866025	−	0.500000i	0.166667	−	0.0962250i
$28$	6.68982	+	1.17960i	1.26426	+	0.222923i
$29$	1.02313	−	5.80247i	0.189991	−	1.07749i	−0.729383	−	0.684106i	$-0.760193\pi$
$29$	1.02313	−	5.80247i	0.189991	−	1.07749i	0.919373	−	0.393386i	$-0.128696\pi$
$30$	−7.68611	+	4.43758i	−1.40329	+	0.810188i
$31$	−6.35057	−	3.66650i	−1.14060	−	0.658523i	−0.194018	−	0.980998i	$-0.562152\pi$
$31$	−6.35057	−	3.66650i	−1.14060	−	0.658523i	−0.946578	+	0.322475i	$0.895485\pi$
$32$	−2.23936	−	1.87905i	−0.395867	−	0.332172i
$33$	2.04449	+	2.61153i	0.355899	+	0.454609i
$34$	3.41587	+	9.38502i	0.585816	+	1.60952i
$35$	−3.62091	−	4.31523i	−0.612045	−	0.729407i
$36$	−0.742023	−	4.20822i	−0.123670	−	0.701370i
$37$			2.01404i			0.331106i	0.986201	+	0.165553i	$0.0529409\pi$
$37$			2.01404i			0.331106i	−0.986201	+	0.165553i	$0.947059\pi$
$38$	10.9107	+	0.381423i	1.76995	+	0.0618750i
$39$			5.24964i			0.840615i
$40$	3.50326	+	19.8680i	0.553914	+	3.14140i
$41$	2.33617	−	1.96028i	0.364849	−	0.306145i	−0.441871	−	0.897079i	$-0.645685\pi$
$41$	2.33617	−	1.96028i	0.364849	−	0.306145i	0.806720	+	0.590934i	$0.201241\pi$
$42$	3.74149	−	1.36179i	0.577324	−	0.210129i
$43$	1.80004	−	4.94556i	0.274503	−	0.754190i	−0.723458	−	0.690368i	$-0.757449\pi$
$43$	1.80004	−	4.94556i	0.274503	−	0.754190i	0.997961	−	0.0638223i	$-0.0203291\pi$
$44$	13.4744	−	4.39276i	2.03135	−	0.662234i
$45$	−1.77176	+	3.06877i	−0.264118	+	0.457465i
$46$	9.83137	+	17.0284i	1.44956	+	2.51071i
$47$	1.81778	−	10.3091i	0.265150	−	1.50374i	−0.503457	−	0.864020i	$-0.667939\pi$
$47$	1.81778	−	10.3091i	0.265150	−	1.50374i	0.768607	−	0.639721i	$-0.220950\pi$
$48$	−5.62663	−	0.992126i	−0.812134	−	0.143201i
$49$	−2.23642	−	3.87359i	−0.319489	−	0.553371i
$50$	9.46305	−	16.3905i	1.33828	−	2.31797i
$51$	3.05465	+	2.56315i	0.427736	+	0.358913i
$52$	21.0796	+	7.67234i	2.92321	+	1.06396i
$53$	−0.724349	−	1.99013i	−0.0994970	−	0.273366i	0.879950	−	0.475066i	$-0.157576\pi$
$53$	−0.724349	−	1.99013i	−0.0994970	−	0.273366i	−0.979447	+	0.201700i	$0.935353\pi$
$54$	−1.60994	−	1.91865i	−0.219085	−	0.261096i
$55$	−10.9010	−	4.39185i	−1.46990	−	0.592196i
$56$		−	9.05075i		−	1.20946i
$57$	3.84876	−	2.04623i	0.509780	−	0.271030i
$58$	−14.7572			−1.93772
$59$	−4.99240	+	0.880295i	−0.649955	+	0.114605i	−0.488899	−	0.872341i	$-0.662601\pi$
$59$	−4.99240	+	0.880295i	−0.649955	+	0.114605i	−0.161056	+	0.986945i	$0.551490\pi$
$60$	9.73303	+	11.5994i	1.25653	+	1.49747i
$61$	2.12626	+	5.84186i	0.272240	+	0.747974i	0.998185	+	0.0602211i	$0.0191806\pi$
$61$	2.12626	+	5.84186i	0.272240	+	0.747974i	−0.725945	+	0.687753i	$0.758597\pi$
$62$	−6.28168	+	17.2588i	−0.797775	+	2.19187i
$63$	1.02184	−	1.21778i	0.128740	−	0.153426i
$64$	2.05257	−	3.55516i	0.256571	−	0.444395i
$65$	−9.30107	−	16.1099i	−1.15366	−	1.99819i
$66$	5.55233	−	6.17869i	0.683444	−	0.760544i
$67$	13.1297	+	2.31512i	1.60404	+	0.282836i	0.902792	−	0.430077i	$-0.141513\pi$
$67$	13.1297	+	2.31512i	1.60404	+	0.282836i	0.701252	+	0.712913i	$0.252625\pi$
$68$	14.7565	−	8.51969i	1.78949	−	1.03316i
$69$	6.79880	+	3.92529i	0.818479	+	0.472549i
$70$	−9.06901	+	10.8080i	−1.08395	+	1.29181i
$71$	−3.19573	+	8.78020i	−0.379264	+	1.04202i	0.592399	+	0.805645i	$0.298181\pi$
$71$	−3.19573	+	8.78020i	−0.379264	+	1.04202i	−0.971662	+	0.236373i	$0.924041\pi$
$72$	−5.35000	+	1.94724i	−0.630504	+	0.229485i
$73$	4.38962	+	5.23135i	0.513767	+	0.612283i	0.959095	−	0.283084i	$-0.0913575\pi$
$73$	4.38962	+	5.23135i	0.513767	+	0.612283i	−0.445328	+	0.895367i	$0.646913\pi$
$74$	4.96777	−	0.875953i	0.577492	−	0.101827i
$75$		−	7.55647i		−	0.872546i
$76$	−2.59157	−	18.4450i	−0.297273	−	2.11579i
$77$	4.47404	+	2.78958i	0.509864	+	0.317902i
$78$	12.9486	−	2.28319i	1.46614	−	0.258520i
$79$	−1.11072	+	0.932009i	−0.124966	+	0.104859i	−0.703129	−	0.711062i	$-0.748214\pi$
$79$	−1.11072	+	0.932009i	−0.124966	+	0.104859i	0.578163	+	0.815922i	$0.303770\pi$
$80$	19.0246	−	6.92440i	2.12702	−	0.774172i
$81$	−0.939693	−	0.342020i	−0.104410	−	0.0380022i
$82$	−5.85123	−	4.90977i	−0.646161	−	0.542193i
$83$	−3.08796	−	1.78283i	−0.338947	−	0.195691i	0.320859	−	0.947127i	$-0.396028\pi$
$83$	−3.08796	−	1.78283i	−0.338947	−	0.195691i	−0.659806	+	0.751436i	$0.729362\pi$
$84$	−3.39651	−	5.88293i	−0.370590	−	0.641880i
$85$	−13.9153	−	2.45364i	−1.50932	−	0.266135i
$86$	−12.9814	−	2.28898i	−1.39983	−	0.246827i
$87$	−5.10261	+	2.94599i	−0.547057	+	0.315843i
$88$	−8.88129	−	16.6637i	−0.946748	−	1.77636i
$89$	1.46971	−	1.75153i	0.155788	−	0.185661i	−0.682505	−	0.730881i	$-0.739109\pi$
$89$	1.46971	−	1.75153i	0.155788	−	0.185661i	0.838293	+	0.545220i	$0.183554\pi$
$90$	8.33992	+	3.03548i	0.879105	+	0.319968i
$91$	2.85428	+	7.84208i	0.299210	+	0.822074i
$92$	25.6982	−	21.5633i	2.67922	−	2.24813i
$93$	1.27336	+	7.22160i	0.132042	+	0.748845i
$94$	−26.2188			−2.70426
$95$	−8.18552	+	13.0985i	−0.839817	+	1.34388i
$96$			2.92328i			0.298356i
$97$	14.8666	−	2.62139i	1.50948	−	0.266161i	0.643189	−	0.765708i	$-0.277611\pi$
$97$	14.8666	−	2.62139i	1.50948	−	0.266161i	0.866287	+	0.499546i	$0.166500\pi$
$98$	−8.58183	+	7.20101i	−0.866896	+	0.727412i
$99$	0.686375	−	3.24483i	0.0689833	−	0.326117i
$100$	−30.3425	−	11.0438i	−3.03425	−	1.10438i
$101$	−4.24049	+	5.05362i	−0.421945	+	0.502854i	−0.934580	−	0.355752i	$-0.884225\pi$
$101$	−4.24049	+	5.05362i	−0.421945	+	0.502854i	0.512636	+	0.858606i	$0.328669\pi$
$102$	4.99366	−	8.64928i	0.494446	−	0.856406i
$103$	−2.68459	+	1.54995i	−0.264520	+	0.152721i	−0.626395	−	0.779506i	$-0.715470\pi$
$103$	−2.68459	+	1.54995i	−0.264520	+	0.152721i	0.361875	+	0.932227i	$0.382137\pi$
$104$	5.19000	−	29.4340i	0.508922	−	2.88624i
$105$	−0.978183	+	5.54755i	−0.0954609	+	0.541386i
$106$	−4.59377	+	2.65222i	−0.446187	+	0.257606i
$107$	10.0108	−	17.3391i	0.967777	−	1.67624i	0.265815	−	0.964024i	$-0.414359\pi$
$107$	10.0108	−	17.3391i	0.967777	−	1.67624i	0.701962	−	0.712215i	$-0.252308\pi$
$108$	−2.74672	+	3.27341i	−0.264303	+	0.314984i
$109$	11.1141	+	4.04520i	1.06454	+	0.387460i	0.814131	−	0.580681i	$-0.197214\pi$
$109$	11.1141	+	4.04520i	1.06454	+	0.387460i	0.250406	+	0.968141i	$0.419436\pi$
$110$	−6.09169	+	28.7983i	−0.580820	+	2.74581i
$111$	1.54284	−	1.29460i	0.146440	−	0.122878i
$112$	−8.94468	+	1.57719i	−0.845192	+	0.149030i
$113$		−	6.58569i		−	0.619530i	−0.950813	−	0.309765i	$-0.899750\pi$
$113$		−	6.58569i		−	0.619530i	0.950813	−	0.309765i	$-0.100250\pi$
$114$	−6.72110	−	8.60328i	−0.629488	−	0.805771i
$115$	−27.8186			−2.59410
$116$	4.37198	+	24.7948i	0.405929	+	2.30214i
$117$	4.02145	−	3.37440i	0.371784	−	0.311963i
$118$	4.34262	+	11.9313i	0.399771	+	1.09836i
$119$	5.95674	+	2.16808i	0.546054	+	0.198747i
$120$	12.9679	−	15.4545i	1.18380	−	1.41080i
$121$	10.9747	+	0.745741i	0.997699	+	0.0677946i
$122$	13.4846	−	7.78535i	1.22084	−	0.704852i
$123$	−3.00333	−	0.529568i	−0.270801	−	0.0477495i
$124$	30.8589	+	5.44125i	2.77121	+	0.488639i
$125$	4.52944	+	7.84522i	0.405125	+	0.701698i
$126$	−3.44818	−	1.99081i	−0.307188	−	0.177355i
$127$	−1.48356	−	1.24486i	−0.131645	−	0.110463i	0.574588	−	0.818443i	$-0.305162\pi$
$127$	−1.48356	−	1.24486i	−0.131645	−	0.110463i	−0.706233	+	0.707980i	$0.749607\pi$
$128$	−15.1557	−	5.51624i	−1.33959	−	0.487571i
$129$	−4.94556	+	1.80004i	−0.435432	+	0.158484i
$130$	−35.6911	+	29.9483i	−3.13031	+	2.62664i
$131$	−17.3868	+	3.06577i	−1.51910	+	0.267858i	−0.870077	−	0.492915i	$-0.835931\pi$
$131$	−17.3868	+	3.06577i	−1.51910	+	0.267858i	−0.649019	+	0.760773i	$0.724820\pi$
$132$	−12.0263	−	7.49840i	−1.04675	−	0.652652i
$133$	4.63684	−	5.14934i	0.402065	−	0.446505i
$134$		−	33.3922i		−	2.88465i
$135$	3.48968	−	0.615324i	0.300344	−	0.0529587i
$136$	−14.5929	−	17.3912i	−1.25133	−	1.49128i
$137$	−10.7293	+	3.90516i	−0.916669	+	0.333640i	−0.756913	−	0.653516i	$-0.773293\pi$
$137$	−10.7293	+	3.90516i	−0.916669	+	0.333640i	−0.159757	+	0.987156i	$0.551071\pi$
$138$	6.72505	−	18.4769i	0.572475	−	1.57286i
$139$	−5.43346	+	6.47534i	−0.460860	+	0.549232i	−0.945560	−	0.325449i	$-0.894484\pi$
$139$	−5.43346	+	6.47534i	−0.460860	+	0.549232i	0.484700	+	0.874681i	$0.338929\pi$
$140$	20.8462	+	12.0356i	1.76183	+	1.01719i
$141$	−9.06570	+	5.23408i	−0.763470	+	0.440789i
$142$	23.0469	+	4.06379i	1.93405	+	0.341026i
$143$	12.9504	+	11.6376i	1.08297	+	0.973181i
$144$	2.85671	+	4.94797i	0.238060	+	0.412331i
$145$	10.4392	−	18.0811i	0.866925	−	1.50156i
$146$	10.9944	−	13.1026i	0.909899	−	1.08438i
$147$	−1.52980	+	4.20310i	−0.126176	+	0.346665i
$148$	−2.94352	−	8.08725i	−0.241956	−	0.664768i
$149$	−4.29665	−	5.12055i	−0.351995	−	0.419492i	0.560773	−	0.827970i	$-0.310504\pi$
$149$	−4.29665	−	5.12055i	−0.351995	−	0.419492i	−0.912768	+	0.408478i	$0.866060\pi$
$150$	−18.6386	+	3.28648i	−1.52183	+	0.268340i
$151$	−11.2016			−0.911575			−0.455787	−	0.890089i	$-0.650642\pi$
$151$	−11.2016			−0.911575			−0.455787	+	0.890089i	$0.650642\pi$
$152$	−23.6024	+	7.66791i	−1.91441	+	0.621949i
$153$		−	3.98756i		−	0.322375i
$154$	4.93483	−	12.2488i	0.397660	−	0.987036i
$155$	−16.7026	−	19.9053i	−1.34158	−	1.59884i
$156$	−7.67234	−	21.0796i	−0.614279	−	1.68772i
$157$	11.8930	+	4.32871i	0.949166	+	0.345468i	0.769779	−	0.638310i	$-0.220366\pi$
$157$	11.8930	+	4.32871i	0.949166	+	0.345468i	0.179387	+	0.983779i	$0.442589\pi$
$158$	2.78195	+	2.33433i	0.221320	+	0.185709i
$159$	−1.05893	+	1.83412i	−0.0839784	+	0.145455i
$160$	−5.17934	−	8.97088i	−0.409463	−	0.709210i
$161$	12.2905	+	2.16715i	0.968627	+	0.170795i
$162$	−0.434923	+	2.46657i	−0.0341708	+	0.193792i
$163$	−8.19677	−	14.1972i	−0.642020	−	1.11201i	−0.984981	−	0.172662i	$-0.944763\pi$
$163$	−8.19677	−	14.1972i	−0.642020	−	1.11201i	0.342961	−	0.939350i	$-0.388570\pi$
$164$	−6.51580	+	11.2857i	−0.508799	+	0.881265i
$165$	3.64271	+	11.1737i	0.283585	+	0.869872i
$166$	−3.05446	+	8.39206i	−0.237072	+	0.651350i
$167$	−3.34137	+	1.21616i	−0.258563	+	0.0941091i	−0.468049	−	0.883702i	$-0.655043\pi$
$167$	−3.34137	+	1.21616i	−0.258563	+	0.0941091i	0.209487	+	0.977812i	$0.432821\pi$
$168$	−6.93327	+	5.81771i	−0.534914	+	0.448846i
$169$	2.52809	+	14.3375i	0.194468	+	1.10288i
$170$			35.3902i			2.71430i
$171$	−4.04144	−	1.63302i	−0.309057	−	0.124881i
$172$			22.4893i			1.71479i
$173$	0.876247	+	4.96944i	0.0666198	+	0.377820i	0.999829	+	0.0184865i	$0.00588476\pi$
$173$	0.876247	+	4.96944i	0.0666198	+	0.377820i	−0.933209	+	0.359333i	$0.883004\pi$
$174$	9.48574	+	11.3047i	0.719112	+	0.857005i
$175$	−4.10853	−	11.2881i	−0.310576	−	0.853301i
$176$	−14.9208	+	11.6810i	−1.12470	+	0.880491i
$177$	3.88340	+	3.25856i	0.291894	+	0.244928i
$178$	−4.95948	−	2.86336i	−0.371729	−	0.214618i
$179$	−18.5793	+	10.7268i	−1.38868	+	0.801757i	−0.993167	−	0.116702i	$-0.962768\pi$
$179$	−18.5793	+	10.7268i	−1.38868	+	0.801757i	−0.395516	+	0.918459i	$0.629434\pi$
$180$	2.62936	−	14.9119i	0.195981	−	1.11147i
$181$	−15.5867	−	2.74835i	−1.15855	−	0.204283i	−0.438843	−	0.898564i	$-0.644611\pi$
$181$	−15.5867	−	2.74835i	−1.15855	−	0.204283i	−0.719704	+	0.694281i	$0.755723\pi$
$182$	18.1017	−	10.4510i	1.34178	−	0.774680i
$183$	3.10839	−	5.38389i	0.229779	−	0.397989i
$184$	−34.2392	−	28.7301i	−2.52415	−	2.11801i
$185$	−2.44092	+	6.70637i	−0.179460	+	0.493062i
$186$	17.2588	−	6.28168i	1.26548	−	0.460595i
$187$	13.0947	−	1.85347i	0.957580	−	0.135539i
$188$	7.76762	+	44.0523i	0.566512	+	3.21285i
$189$	−1.58970			−0.115634
$190$	35.8684	+	14.4934i	2.60217	+	1.05146i
$191$	−11.6993			−0.846528			−0.423264	−	0.906006i	$-0.639116\pi$
$191$	−11.6993			−0.846528			−0.423264	+	0.906006i	$0.639116\pi$
$192$	−4.04277	+	0.712850i	−0.291762	+	0.0514455i
$193$	−3.96189	+	3.32442i	−0.285183	+	0.239297i	−0.774145	−	0.633008i	$-0.781820\pi$
$193$	−3.96189	+	3.32442i	−0.285183	+	0.239297i	0.488962	+	0.872305i	$0.337376\pi$
$194$	−12.9317	−	35.5295i	−0.928440	−	2.55087i
$195$	−6.36231	+	17.4803i	−0.455614	+	1.25179i
$196$	14.6415	+	12.2856i	1.04582	+	0.877546i
$197$	−9.87365	−	5.70056i	−0.703469	−	0.406148i	0.105169	−	0.994454i	$-0.466462\pi$
$197$	−9.87365	−	5.70056i	−0.703469	−	0.406148i	−0.808638	+	0.588307i	$0.799795\pi$
$198$	−8.30212	−	0.281744i	−0.590006	−	0.0200226i
$199$	3.50033	−	19.8513i	0.248132	−	1.40722i	−0.564974	−	0.825109i	$-0.691114\pi$
$199$	3.50033	−	19.8513i	0.248132	−	1.40722i	0.813106	−	0.582116i	$-0.197775\pi$
$200$	−7.47063	+	42.3681i	−0.528253	+	2.99587i
$201$	−6.66611	−	11.5460i	−0.470191	−	0.814395i
$202$	14.3094	+	8.26155i	1.00681	+	0.581280i
$203$	−6.02068	+	7.17516i	−0.422569	+	0.503598i
$204$	−16.0118	−	5.82781i	−1.12105	−	0.408028i
$205$	10.1548	−	3.69604i	0.709241	−	0.258143i
$206$	4.99065	+	5.94762i	0.347715	+	0.414390i
$207$	−1.36324	−	7.73131i	−0.0947516	−	0.537363i
$208$	−29.9934			−2.07967
$209$	3.48416	−	14.0307i	0.241004	−	0.970524i
$210$	14.1089			0.973605
$211$	1.71628	+	9.73353i	0.118154	+	0.670084i	0.985140	+	0.171752i	$0.0549428\pi$
$211$	1.71628	+	9.73353i	0.118154	+	0.670084i	−0.866986	+	0.498332i	$0.833946\pi$
$212$	5.81716	+	6.93262i	0.399524	+	0.476134i
$213$	8.78020	−	3.19573i	0.601610	−	0.218968i
$214$	−47.1222	−	17.1511i	−3.22121	−	1.17242i
$215$	11.9876	−	14.2862i	0.817544	−	0.974311i
$216$	4.93059	+	2.84668i	0.335484	+	0.193692i
$217$	5.82865	+	10.0955i	0.395675	+	0.685329i
$218$	5.14400	−	29.1731i	0.348396	−	1.97585i
$219$	1.18585	−	6.72529i	0.0801324	−	0.454453i
$220$	50.1911	+	1.70330i	3.38389	+	0.114837i
$221$	18.1287	+	10.4666i	1.21947	+	0.704060i
$222$	−3.86424	−	3.24248i	−0.259351	−	0.217621i
$223$	7.08519	−	19.4664i	0.474459	−	1.30357i	−0.439676	−	0.898157i	$-0.644907\pi$
$223$	7.08519	−	19.4664i	0.474459	−	1.30357i	0.914135	−	0.405410i	$-0.132871\pi$
$224$	1.58942	+	4.36689i	0.106198	+	0.291775i
$225$	−5.78859	+	4.85720i	−0.385906	+	0.323814i
$226$	−16.2441	+	2.86427i	−1.08054	+	0.190528i
$227$	17.8444			1.18437			0.592186	−	0.805801i	$-0.298265\pi$
$227$	17.8444			1.18437			0.592186	+	0.805801i	$0.298265\pi$
$228$	−12.4639	+	13.8415i	−0.825440	+	0.916674i
$229$	10.1086			0.667992			0.333996	−	0.942575i	$-0.391603\pi$
$229$	10.1086			0.667992			0.333996	+	0.942575i	$0.391603\pi$
$230$	12.0990	+	68.6166i	0.797782	+	4.52445i
$231$	−0.738917	−	5.22042i	−0.0486172	−	0.343478i
$232$	31.5221	−	11.4731i	2.06953	−	0.753247i
$233$	1.47822	−	4.06137i	0.0968413	−	0.266069i	−0.881807	−	0.471610i	$-0.843673\pi$
$233$	1.47822	−	4.06137i	0.0968413	−	0.266069i	0.978649	+	0.205541i	$0.0658953\pi$
$234$	−10.0722	−	8.45160i	−0.658442	−	0.552499i
$235$	18.5470	−	32.1244i	1.20988	−	2.09557i
$236$	18.7601	−	10.8312i	1.22118	−	0.705048i
$237$	1.42792	+	0.251781i	0.0927534	+	0.0163549i
$238$	2.75699	−	15.6357i	0.178709	−	1.01351i
$239$	−10.5833	+	6.11027i	−0.684577	+	0.395240i	−0.801577	−	0.597891i	$-0.796005\pi$
$239$	−10.5833	+	6.11027i	−0.684577	+	0.395240i	0.117001	+	0.993132i	$0.462672\pi$
$240$	−17.5332	−	10.1228i	−1.13176	−	0.653424i
$241$	0.866206	+	0.726833i	0.0557972	+	0.0468194i	0.670260	−	0.742127i	$-0.266183\pi$
$241$	0.866206	+	0.726833i	0.0557972	+	0.0468194i	−0.614463	+	0.788946i	$0.710627\pi$
$242$	−2.93372	−	27.3942i	−0.188587	−	1.76097i
$243$	0.342020	+	0.939693i	0.0219406	+	0.0602813i
$244$	−17.0758	−	20.3501i	−1.09316	−	1.30278i
$245$	−2.75225	−	15.6088i	−0.175835	−	0.997208i
$246$			7.63824i			0.486997i
$247$	18.0323	−	14.0873i	1.14737	−	0.896352i
$248$		−	41.7494i		−	2.65109i
$249$	0.619171	+	3.51149i	0.0392384	+	0.222532i
$250$	17.3808	−	14.5843i	1.09926	−	0.922389i
$251$	11.5290	−	4.19621i	0.727703	−	0.264862i	0.0485106	−	0.998823i	$-0.484553\pi$
$251$	11.5290	−	4.19621i	0.727703	−	0.264862i	0.679192	+	0.733961i	$0.262330\pi$
$252$	−2.32335	+	6.38336i	−0.146357	+	0.402114i
$253$	24.7551	−	8.07035i	1.55634	−	0.507379i
$254$	−2.42529	+	4.20073i	−0.152176	+	0.263577i
$255$	7.06497	+	12.2369i	0.442426	+	0.766304i
$256$	−5.58891	+	31.6963i	−0.349307	+	1.98102i
$257$	−17.6113	−	3.10534i	−1.09856	−	0.193706i	−0.405151	−	0.914250i	$-0.632781\pi$
$257$	−17.6113	−	3.10534i	−1.09856	−	0.193706i	−0.693409	+	0.720544i	$0.743892\pi$
$258$	6.59085	+	11.4157i	0.410329	+	0.710710i
$259$	1.60086	−	2.77278i	0.0994728	−	0.172292i
$260$	60.8925	+	51.0949i	3.77639	+	3.16877i
$261$	5.53665	+	2.01518i	0.342710	+	0.124736i
$262$	15.1239	+	41.5525i	0.934357	+	2.56712i
$263$	−3.24624	−	3.86871i	−0.200172	−	0.238555i	0.656616	−	0.754225i	$-0.271987\pi$
$263$	−3.24624	−	3.86871i	−0.200172	−	0.238555i	−0.856787	+	0.515670i	$0.827543\pi$
$264$	−7.05637	+	17.5147i	−0.434290	+	1.07795i
$265$		−	7.50464i		−	0.461007i
$266$	−14.7179	−	9.19753i	−0.902412	−	0.563937i
$267$	−2.28646			−0.139929
$268$	−56.1049	+	9.89281i	−3.42715	+	0.604299i
$269$	−9.20383	−	10.9687i	−0.561168	−	0.668773i	0.408626	−	0.912702i	$-0.366008\pi$
$269$	−9.20383	−	10.9687i	−0.561168	−	0.668773i	−0.969793	+	0.243929i	$0.921564\pi$
$270$	−3.03548	−	8.33992i	−0.184734	−	0.507551i
$271$	−4.86661	+	13.3709i	−0.295626	+	0.812225i	0.699592	+	0.714543i	$0.253365\pi$
$271$	−4.86661	+	13.3709i	−0.295626	+	0.812225i	−0.995218	+	0.0976825i	$0.968857\pi$
$272$	−14.6444	+	17.4525i	−0.887946	+	1.05821i
$273$	4.17268	−	7.22730i	0.252542	−	0.437416i
$274$	14.2988	+	24.7662i	0.863822	+	1.49618i
$275$	−18.6412	−	16.7514i	−1.12410	−	1.01015i
$276$	−33.0370	−	5.82531i	−1.98859	−	0.350642i
$277$	6.24988	−	3.60837i	0.375519	−	0.216806i	−0.300348	−	0.953830i	$-0.597103\pi$
$277$	6.24988	−	3.60837i	0.375519	−	0.216806i	0.675867	+	0.737024i	$0.263769\pi$
$278$	18.3350	+	10.5857i	1.09966	+	0.634891i
$279$	4.71356	−	5.61741i	0.282194	−	0.336305i
$280$	10.9691	−	30.1373i	0.655527	−	1.80105i
$281$	12.5053	−	4.55154i	0.746002	−	0.271522i	0.0590793	−	0.998253i	$-0.481184\pi$
$281$	12.5053	−	4.55154i	0.746002	−	0.271522i	0.686922	+	0.726731i	$0.258961\pi$
$282$	16.8531	+	20.0848i	1.00359	+	1.19603i
$283$	20.3065	−	3.58058i	1.20709	−	0.212843i	0.466332	−	0.884610i	$-0.345575\pi$
$283$	20.3065	−	3.58058i	1.20709	−	0.212843i	0.740763	+	0.671767i	$0.234464\pi$
$284$		−	39.9269i		−	2.36923i
$285$	15.2956	−	2.14906i	0.906031	−	0.127300i
$286$	23.0724	−	37.0045i	1.36430	−	2.18812i
$287$	−4.77440	+	0.841856i	−0.281824	+	0.0496932i
$288$	2.23936	−	1.87905i	0.131956	−	0.110724i
$289$	−1.03309	+	0.376015i	−0.0607702	+	0.0221185i
$290$	−49.1387	−	17.8850i	−2.88552	−	1.05024i
$291$	−11.5642	−	9.70349i	−0.677904	−	0.568829i
$292$	−25.2719	−	14.5907i	−1.47892	−	0.853857i
$293$	−3.64384	−	6.31131i	−0.212875	−	0.368711i	0.739738	−	0.672895i	$-0.234949\pi$
$293$	−3.64384	−	6.31131i	−0.212875	−	0.368711i	−0.952613	+	0.304184i	$0.901616\pi$
$294$	11.0326	+	1.94534i	0.643433	+	0.113455i
$295$	−17.6906	−	3.11933i	−1.02999	−	0.181615i
$296$	−9.93040	+	5.73332i	−0.577193	+	0.333242i
$297$	−2.92687	+	1.55994i	−0.169834	+	0.0905169i
$298$	−10.7615	+	12.8250i	−0.623396	+	0.742935i
$299$	38.7272	+	14.0956i	2.23965	+	0.815168i
$300$	11.0438	+	30.3425i	0.637613	+	1.75183i
$301$	−6.40914	+	5.37790i	−0.369417	+	0.309977i
$302$	4.87184	+	27.6296i	0.280343	+	1.58991i
$303$	6.59704			0.378990
$304$	11.6910	+	21.9896i	0.670526	+	1.26119i
$305$			22.0292i			1.26139i
$306$	−9.83560	+	1.73428i	−0.562264	+	0.0991422i
$307$	−1.34545	+	1.12897i	−0.0767889	+	0.0644335i	−0.680374	−	0.732865i	$-0.738183\pi$
$307$	−1.34545	+	1.12897i	−0.0767889	+	0.0644335i	0.603585	+	0.797298i	$0.293738\pi$
$308$	−22.0422	−	4.66256i	−1.25597	−	0.265674i
$309$	2.91295	+	1.06023i	0.165712	+	0.0603142i
$310$	−41.8336	+	49.8554i	−2.37599	+	2.83160i
$311$	−13.1733	+	22.8169i	−0.746991	+	1.29383i	0.202268	+	0.979330i	$0.435169\pi$
$311$	−13.1733	+	22.8169i	−0.746991	+	1.29383i	−0.949259	+	0.314496i	$0.898164\pi$
$312$	−25.8838	+	14.9440i	−1.46538	+	0.846038i
$313$	0.296451	−	1.68126i	0.0167564	−	0.0950302i	−0.975283	−	0.220961i	$-0.929081\pi$
$313$	0.296451	−	1.68126i	0.0167564	−	0.0950302i	0.992039	+	0.125931i	$0.0401917\pi$
$314$	5.50451	−	31.2176i	0.310638	−	1.76171i
$315$	4.87844	−	2.81657i	0.274869	−	0.158696i
$316$	3.09791	−	5.36574i	0.174271	−	0.301847i
$317$	−4.80607	+	5.72765i	−0.269936	+	0.321697i	−0.883935	−	0.467610i	$-0.845115\pi$
$317$	−4.80607	+	5.72765i	−0.269936	+	0.321697i	0.613999	+	0.789307i	$0.289560\pi$
$318$	4.98453	+	1.81422i	0.279519	+	0.101737i
$319$	−4.04411	+	19.1185i	−0.226427	+	1.07043i
$320$	11.1434	−	9.35038i	0.622932	−	0.522702i
$321$	−19.7174	+	3.47670i	−1.10052	+	0.194051i
$322$		−	31.2579i		−	1.74194i
$323$	0.607256	−	17.3707i	0.0337886	−	0.966534i
$324$	4.27314			0.237397
$325$	−6.88840	−	39.0661i	−0.382100	−	2.16700i
$326$	−31.4535	+	26.3926i	−1.74205	+	1.46175i
$327$	−4.04520	−	11.1141i	−0.223700	−	0.614611i
$328$	16.3157	+	5.93842i	0.900882	+	0.327894i
$329$	−10.6968	+	12.7480i	−0.589735	+	0.702818i
$330$	25.9765	−	13.8447i	1.42996	−	0.762126i
$331$	9.01915	−	5.20721i	0.495737	−	0.286214i	−0.231214	−	0.972903i	$-0.574270\pi$
$331$	9.01915	−	5.20721i	0.495737	−	0.286214i	0.726952	+	0.686689i	$0.240936\pi$
$332$	15.0051	+	2.64580i	0.823512	+	0.145207i
$333$	−1.98344	−	0.349734i	−0.108692	−	0.0191653i
$334$	4.45298	+	7.71279i	0.243656	+	0.422025i
$335$	40.9135	+	23.6214i	2.23534	+	1.29058i
$336$	6.95772	+	5.83822i	0.379575	+	0.318501i
$337$	−23.6902	−	8.62254i	−1.29049	−	0.469699i	−0.396601	−	0.917991i	$-0.629810\pi$
$337$	−23.6902	−	8.62254i	−1.29049	−	0.469699i	−0.893887	+	0.448292i	$0.852033\pi$
$338$	34.2650	−	12.4714i	1.86377	−	0.678356i
$339$	−5.04493	+	4.23320i	−0.274003	+	0.229916i
$340$	59.4619	−	10.4847i	3.22478	−	0.568615i
$341$	20.6379	+	12.8678i	1.11760	+	0.696830i
$342$	−2.27026	+	10.6787i	−0.122761	+	0.577440i
$343$			18.2384i			0.984782i
$344$	29.5086	−	5.20317i	1.59100	−	0.280536i
$345$	17.8815	+	21.3103i	0.962705	+	1.14731i
$346$	11.8764	−	4.32265i	0.638479	−	0.232387i
$347$	−5.65525	+	15.5377i	−0.303589	+	0.834105i	0.690280	+	0.723543i	$0.257487\pi$
$347$	−5.65525	+	15.5377i	−0.303589	+	0.834105i	−0.993869	+	0.110563i	$0.964735\pi$
$348$	16.1836	−	19.2869i	0.867534	−	1.03389i
$349$	−27.1061	−	15.6497i	−1.45096	−	0.837709i	−0.452419	−	0.891805i	$-0.649439\pi$
$349$	−27.1061	−	15.6497i	−1.45096	−	0.837709i	−0.998536	+	0.0540959i	$0.982772\pi$
$350$	−26.0560	+	15.0435i	−1.39275	+	0.804107i
$351$	−5.16988	−	0.911590i	−0.275948	−	0.0486571i
$352$	7.21148	+	6.48042i	0.384373	+	0.345407i
$353$	4.97734	+	8.62100i	0.264917	+	0.458849i	0.967542	−	0.252711i	$-0.0813222\pi$
$353$	4.97734	+	8.62100i	0.264917	+	0.458849i	−0.702625	+	0.711560i	$0.747989\pi$
$354$	6.34849	−	10.9959i	0.337418	−	0.584426i
$355$	−21.2824	+	25.3633i	−1.12955	+	1.34615i
$356$	−3.34165	+	9.18112i	−0.177107	+	0.486598i
$357$	−2.16808	−	5.95674i	−0.114747	−	0.315264i
$358$	34.5389	+	41.1619i	1.82544	+	2.17547i
$359$	30.7711	−	5.42578i	1.62404	−	0.286362i	0.713770	−	0.700381i	$-0.246986\pi$
$359$	30.7711	−	5.42578i	1.62404	−	0.286362i	0.910268	+	0.414019i	$0.135875\pi$
$360$	−20.1745			−1.06329
$361$	−17.3568	−	7.72931i	−0.913515	−	0.406806i
$362$			39.6409i			2.08348i
$363$	−6.48313	−	8.88646i	−0.340276	−	0.466418i
$364$	−22.9224	−	27.3178i	−1.20146	−	1.43184i
$365$	8.27647	+	22.7394i	0.433210	+	1.19024i
$366$	−14.6317	−	5.32549i	−0.764810	−	0.278368i
$367$	5.49470	+	4.61060i	0.286821	+	0.240671i	0.774834	−	0.632165i	$-0.217834\pi$
$367$	5.49470	+	4.61060i	0.286821	+	0.240671i	−0.488013	+	0.872836i	$0.662278\pi$
$368$	−22.4269	+	38.8445i	−1.16908	+	2.02491i
$369$	1.52483	+	2.64108i	0.0793794	+	0.137489i
$370$	17.6034	+	3.10395i	0.915155	+	0.161367i
$371$	−0.584632	+	3.31562i	−0.0303526	+	0.172138i
$372$	−15.6675	−	27.1369i	−0.812320	−	1.40698i
$373$	−13.1964	+	22.8568i	−0.683284	+	1.18348i	0.290689	+	0.956818i	$0.406115\pi$
$373$	−13.1964	+	22.8568i	−0.683284	+	1.18348i	−0.973973	+	0.226665i	$0.927218\pi$
$374$	−10.2669	−	31.4929i	−0.530890	−	1.62846i
$375$	3.09832	−	8.51256i	0.159996	−	0.439587i
$376$	56.0047	−	20.3841i	2.88822	−	1.05123i
$377$	−23.6943	+	19.8819i	−1.22032	+	1.02397i
$378$	0.691399	+	3.92112i	0.0355617	+	0.201681i
$379$			19.3082i			0.991793i	0.868382	+	0.495897i	$0.165161\pi$
$379$			19.3082i			0.991793i	−0.868382	+	0.495897i	$0.834839\pi$
$380$	13.7250	−	64.5592i	0.704079	−	3.31182i
$381$			1.93665i			0.0992176i
$382$	5.08828	+	28.8570i	0.260339	+	1.47646i
$383$	13.3953	+	15.9639i	0.684469	+	0.815718i	0.990675	−	0.136247i	$-0.0435042\pi$
$383$	13.3953	+	15.9639i	0.684469	+	0.815718i	−0.306206	+	0.951965i	$0.599060\pi$
$384$	5.51624	+	15.1557i	0.281499	+	0.773413i
$385$	11.5169	+	14.7111i	0.586954	+	0.749746i
$386$	9.92304	+	8.32642i	0.505069	+	0.423804i
$387$	4.55785	+	2.63148i	0.231688	+	0.133765i
$388$	−55.8648	+	32.2535i	−2.83610	+	1.63743i
$389$	−2.01910	+	11.4509i	−0.102372	+	0.580583i	0.889865	+	0.456224i	$0.150798\pi$
$389$	−2.01910	+	11.4509i	−0.102372	+	0.580583i	−0.992237	+	0.124359i	$0.960313\pi$
$390$	45.8835	+	8.09050i	2.32340	+	0.409679i
$391$	27.1106	−	15.6523i	1.37104	−	0.791571i
$392$	12.7327	−	22.0537i	0.643100	−	1.11388i
$393$	13.5246	+	11.3485i	0.682224	+	0.572454i
$394$	−9.76655	+	26.8334i	−0.492032	+	1.35185i
$395$	−4.82805	+	1.75727i	−0.242926	+	0.0884177i
$396$	1.98621	+	14.0325i	0.0998110	+	0.705161i
$397$	−2.57043	−	14.5776i	−0.129006	−	0.731631i	−0.978847	−	0.204592i	$-0.934413\pi$
$397$	−2.57043	−	14.5776i	−0.129006	−	0.731631i	0.849841	−	0.527039i	$-0.176698\pi$
$398$	−50.4871			−2.53069
$399$	−6.92513	−	0.242092i	−0.346690	−	0.0121198i
$400$	43.1734			2.15867
$401$	0.475588	−	0.0838590i	0.0237497	−	0.00418772i	−0.161761	−	0.986830i	$-0.551717\pi$
$401$	0.475588	−	0.0838590i	0.0237497	−	0.00418772i	0.185510	+	0.982642i	$0.440606\pi$
$402$	−25.5799	+	21.4641i	−1.27581	+	1.07053i
$403$	13.1663	+	36.1740i	0.655859	+	1.80196i
$404$	9.64156	−	26.4900i	0.479686	−	1.31793i
$405$	−2.71449	−	2.27772i	−0.134884	−	0.113181i
$406$	20.3166	+	11.7298i	1.00830	+	0.582140i
$407$	0.226558	−	6.67597i	0.0112301	−	0.330916i
$408$	−3.94226	+	22.3577i	−0.195171	+	1.10687i
$409$	0.540534	−	3.06552i	0.0267277	−	0.151580i	−0.968523	−	0.248923i	$-0.919923\pi$
$409$	0.540534	−	3.06552i	0.0267277	−	0.151580i	0.995251	+	0.0973430i	$0.0310344\pi$
$410$	−13.5331	−	23.4400i	−0.668352	−	1.15762i
$411$	9.88821	+	5.70896i	0.487750	+	0.281602i
$412$	8.51454	−	10.1472i	0.419481	−	0.499918i
$413$	7.57286	+	2.75630i	0.372636	+	0.135628i
$414$	−18.4769	+	6.72505i	−0.908092	+	0.330518i
$415$	−8.12160	−	9.67895i	−0.398674	−	0.475121i
$416$	2.66483	+	15.1130i	0.130654	+	0.740977i
$417$	8.45296			0.413943
$418$	−36.1231	−	2.49165i	−1.76684	−	0.121871i
$419$	9.79914			0.478719			0.239360	−	0.970931i	$-0.423062\pi$
$419$	9.79914			0.478719			0.239360	+	0.970931i	$0.423062\pi$
$420$	−4.17991	−	23.7055i	−0.203959	−	1.15671i
$421$	20.9804	+	25.0035i	1.02252	+	1.21859i	0.975568	+	0.219698i	$0.0705071\pi$
$421$	20.9804	+	25.0035i	1.02252	+	1.21859i	0.0469543	+	0.998897i	$0.485048\pi$
$422$	23.2620	−	8.46668i	1.13238	−	0.412151i
$423$	9.83686	+	3.58032i	0.478285	+	0.174081i
$424$	7.75054	−	9.23673i	0.376399	−	0.448575i
$425$	−26.0949	−	15.0659i	−1.26579	−	0.730805i
$426$	−11.7012	−	20.2671i	−0.566926	−	0.981944i
$427$	1.71614	−	9.73270i	0.0830497	−	0.470998i
$428$	−14.8564	+	84.2550i	−0.718112	+	4.07262i
$429$	0.590528	−	17.4011i	0.0285110	−	0.840131i
$430$	−40.4516	−	23.3548i	−1.95075	−	1.12627i
$431$	−17.0365	−	14.2953i	−0.820620	−	0.688582i	0.132497	−	0.991183i	$-0.457700\pi$
$431$	−17.0365	−	14.2953i	−0.820620	−	0.688582i	−0.953117	+	0.302602i	$0.902145\pi$
$432$	1.95411	−	5.36887i	0.0940171	−	0.258310i
$433$	−7.95859	−	21.8660i	−0.382465	−	1.05081i	−0.970315	−	0.241845i	$-0.922248\pi$
$433$	−7.95859	−	21.8660i	−0.382465	−	1.05081i	0.587850	−	0.808970i	$-0.299975\pi$
$434$	22.3663	−	18.7676i	1.07362	−	0.900872i
$435$	−20.5611	+	3.62548i	−0.985830	+	0.173828i
$436$	−50.5400			−2.42043
$437$	−4.76121	−	33.8870i	−0.227759	−	1.62104i
$438$	−17.1042			−0.817269
$439$	−2.61889	−	14.8524i	−0.124993	−	0.708868i	−0.981312	−	0.192422i	$-0.938366\pi$
$439$	−2.61889	−	14.8524i	−0.124993	−	0.708868i	0.856320	−	0.516446i	$-0.172745\pi$
$440$	−9.37737	−	66.2507i	−0.447049	−	3.15838i
$441$	4.20310	−	1.52980i	0.200147	−	0.0728477i
$442$	17.9321	−	49.2679i	0.852941	−	2.34344i
$443$	−22.8021	−	19.1332i	−1.08336	−	0.909047i	−0.0871644	−	0.996194i	$-0.527781\pi$
$443$	−22.8021	−	19.1332i	−1.08336	−	0.909047i	−0.996195	+	0.0871471i	$0.972225\pi$
$444$	−4.30313	+	7.45325i	−0.204218	+	0.353715i
$445$	7.01661	−	4.05104i	0.332619	−	0.192038i
$446$	−51.0968	−	9.00974i	−2.41950	−	0.426624i
$447$	−1.16073	+	6.58285i	−0.0549008	+	0.311358i
$448$	−5.65165	+	3.26298i	−0.267015	+	0.154161i
$449$	−5.86515	−	3.38625i	−0.276794	−	0.159807i	0.355177	−	0.934799i	$-0.384420\pi$
$449$	−5.86515	−	3.38625i	−0.276794	−	0.159807i	−0.631971	+	0.774992i	$0.717754\pi$
$450$	14.4982	+	12.1655i	0.683454	+	0.573486i
$451$	−7.96426	+	6.23499i	−0.375023	+	0.293594i
$452$	9.62498	+	26.4444i	0.452721	+	1.24384i
$453$	7.20026	+	8.58094i	0.338298	+	0.403168i
$454$	−7.76093	−	44.0144i	−0.364239	−	2.06570i
$455$			29.5719i			1.38635i
$456$	21.0453	+	13.1517i	0.985537	+	0.615883i
$457$			14.9389i			0.698811i	0.936972	+	0.349405i	$0.113616\pi$
$457$			14.9389i			0.698811i	−0.936972	+	0.349405i	$0.886384\pi$
$458$	−4.39644	−	24.9335i	−0.205432	−	1.16506i
$459$	−3.05465	+	2.56315i	−0.142579	+	0.119638i
$460$	111.704	−	40.6569i	5.20822	−	1.89564i
$461$	6.13017	−	16.8425i	0.285511	−	0.784434i	−0.711170	−	0.703020i	$-0.751834\pi$
$461$	6.13017	−	16.8425i	0.285511	−	0.784434i	0.996680	−	0.0814137i	$-0.0259435\pi$
$462$	−12.5552	+	4.09307i	−0.584119	+	0.190427i
$463$	−9.69560	+	16.7933i	−0.450593	+	0.780450i	−0.998423	−	0.0561398i	$-0.982121\pi$
$463$	−9.69560	+	16.7933i	−0.450593	+	0.780450i	0.547830	+	0.836590i	$0.315454\pi$
$464$	−16.8317	−	29.1534i	−0.781393	−	1.35341i
$465$	−4.51218	+	25.5898i	−0.209247	+	1.18670i
$466$	−10.6606	−	1.87975i	−0.493842	−	0.0870776i
$467$	−6.95169	−	12.0407i	−0.321686	−	0.557176i	0.659150	−	0.752011i	$-0.270916\pi$
$467$	−6.95169	−	12.0407i	−0.321686	−	0.557176i	−0.980836	+	0.194835i	$0.937583\pi$
$468$	−11.2162	+	19.4270i	−0.518469	+	0.898015i
$469$	−16.2358	−	13.6234i	−0.749698	−	0.629071i
$470$	−87.3037	−	31.7760i	−4.02702	−	1.46572i
$471$	−4.32871	−	11.8930i	−0.199456	−	0.548001i
$472$	−18.5521	−	22.1096i	−0.853930	−	1.01767i
$473$	−6.52293	+	16.1906i	−0.299925	+	0.744446i
$474$		−	3.63157i		−	0.166804i
$475$	−25.9562	+	20.2776i	−1.19095	+	0.930401i
$476$	−27.0876			−1.24156
$477$	2.08568	−	0.367762i	0.0954968	−	0.0168387i
$478$	19.6743	+	23.4470i	0.899884	+	1.07244i
$479$	−4.86539	−	13.3676i	−0.222305	−	0.610779i	0.777531	−	0.628844i	$-0.216472\pi$
$479$	−4.86539	−	13.3676i	−0.222305	−	0.610779i	−0.999837	+	0.0180650i	$0.994249\pi$
$480$	−3.54288	+	9.73397i	−0.161709	+	0.444293i
$481$	6.79618	−	8.09937i	0.309879	−	0.369299i
$482$	1.41605	−	2.45268i	0.0644994	−	0.111716i
$483$	−6.24005	−	10.8081i	−0.283932	−	0.491785i
$484$	−45.1581	+	13.0450i	−2.05264	+	0.592956i
$485$	52.6800	+	9.28891i	2.39208	+	0.421788i
$486$	2.16907	−	1.25231i	0.0983909	−	0.0568060i
$487$	−15.7469	−	9.09147i	−0.713559	−	0.411974i	0.0988182	−	0.995106i	$-0.468494\pi$
$487$	−15.7469	−	9.09147i	−0.713559	−	0.411974i	−0.812378	+	0.583132i	$0.801827\pi$
$488$	−22.7510	+	27.1136i	−1.02989	+	1.22738i
$489$	−5.60692	+	15.4049i	−0.253554	+	0.696633i
$490$	−37.3031	+	13.5772i	−1.68518	+	0.613357i
$491$	−22.3095	−	26.5874i	−1.00681	−	1.19987i	−0.979747	−	0.200241i	$-0.935828\pi$
$491$	−22.3095	−	26.5874i	−1.00681	−	1.19987i	−0.0270674	−	0.999634i	$-0.508617\pi$
$492$	12.8336	−	2.26291i	0.578585	−	0.102020i
$493$			23.4946i			1.05814i
$494$	−42.5900	−	38.3511i	−1.91621	−	1.72550i
$495$	6.21807	−	9.97280i	0.279482	−	0.448244i
$496$	−41.2601	+	7.27527i	−1.85263	+	0.326669i
$497$	11.3786	−	9.54778i	0.510400	−	0.428277i
$498$	8.39206	−	3.05446i	0.376057	−	0.136874i
$499$	33.6510	+	12.2480i	1.50643	+	0.548295i	0.957715	−	0.287717i	$-0.0928963\pi$
$499$	33.6510	+	12.2480i	1.50643	+	0.548295i	0.548711	+	0.836012i	$0.315119\pi$
$500$	−29.6534	−	24.8822i	−1.32614	−	1.11277i
$501$	3.07942	+	1.77790i	0.137578	+	0.0794309i
$502$	−15.3645	−	26.6120i	−0.685750	−	1.18775i
$503$	26.6707	+	4.70276i	1.18919	+	0.209686i	0.733019	−	0.680209i	$-0.238111\pi$
$503$	26.6707	+	4.70276i	1.18919	+	0.209686i	0.456167	+	0.889894i	$0.349222\pi$
$504$	8.91325	+	1.57165i	0.397028	+	0.0700067i
$505$	−20.2448	+	11.6883i	−0.900881	+	0.520124i
$506$	−30.6727	−	57.5504i	−1.36357	−	2.55843i
$507$	9.35814	−	11.1526i	0.415610	−	0.495304i
$508$	7.77650	+	2.83041i	0.345026	+	0.125579i
$509$	−3.73470	−	10.2610i	−0.165538	−	0.454811i	0.828993	−	0.559259i	$-0.188914\pi$
$509$	−3.73470	−	10.2610i	−0.165538	−	0.454811i	−0.994530	+	0.104449i	$0.966692\pi$
$510$	27.1105	−	22.7484i	1.20047	−	1.00732i
$511$	−1.88515	−	10.6912i	−0.0833942	−	0.472952i
$512$	48.3552			2.13702
$513$	1.34682	+	4.14561i	0.0594634	+	0.183033i
$514$			44.7901i			1.97560i
$515$	−10.8176	+	1.90744i	−0.476682	+	0.0840519i
$516$	17.2278	−	14.4559i	0.758412	−	0.636383i
$517$	−7.18509	+	33.9674i	−0.316000	+	1.49388i
$518$	−7.53551	−	2.74270i	−0.331091	−	0.120507i
$519$	3.24357	−	3.86554i	0.142377	−	0.169678i
$520$	52.9543	−	91.7195i	2.32220	−	4.02217i
$521$	−18.6036	+	10.7408i	−0.815041	+	0.470564i	−0.848703	−	0.528869i	$-0.822616\pi$
$521$	−18.6036	+	10.7408i	−0.815041	+	0.470564i	0.0336627	+	0.999433i	$0.489283\pi$
$522$	2.56256	−	14.5330i	0.112160	−	0.636092i
$523$	1.84007	−	10.4356i	0.0804606	−	0.456315i	−0.917784	−	0.397081i	$-0.870023\pi$
$523$	1.84007	−	10.4356i	0.0804606	−	0.456315i	0.998244	−	0.0592337i	$-0.0188657\pi$
$524$	65.3352	−	37.7213i	2.85418	−	1.64786i
$525$	−6.00628	+	10.4032i	−0.262135	+	0.454032i
$526$	−8.13060	+	9.68967i	−0.354511	+	0.422490i
$527$	27.4773	+	10.0009i	1.19693	+	0.435647i
$528$	18.5391	+	3.92155i	0.806810	+	0.170664i
$529$	29.5935	−	24.8319i	1.28667	−	1.07965i
$530$	−18.5107	+	3.26394i	−0.804056	+	0.141777i
$531$		−	5.06942i		−	0.219994i
$532$	−11.0932	+	27.4536i	−0.480950	+	1.19026i
$533$	−16.0096			−0.693453
$534$	0.994433	+	5.63971i	0.0430333	+	0.244054i
$535$	54.3482	−	45.6035i	2.34968	−	1.97161i
$536$	25.9610	+	71.3274i	1.12135	+	3.08087i
$537$	20.1597	+	7.33754i	0.869957	+	0.316638i
$538$	−23.0521	+	27.4725i	−0.993848	+	1.18442i
$539$	6.97736	+	13.0914i	0.300536	+	0.563888i
$540$	−13.1133	+	7.57095i	−0.564306	+	0.325802i
$541$	−11.7854	−	2.07809i	−0.506696	−	0.0893442i	−0.0855442	−	0.996334i	$-0.527263\pi$
$541$	−11.7854	−	2.07809i	−0.506696	−	0.0893442i	−0.421152	+	0.906990i	$0.638374\pi$
$542$	35.0969	+	6.18854i	1.50754	+	0.265820i
$543$	7.91355	+	13.7067i	0.339603	+	0.588210i
$544$	10.0950	+	5.82837i	0.432821	+	0.249889i
$545$	32.1053	+	26.9395i	1.37524	+	1.15396i
$546$	−19.6415	−	7.14891i	−0.840577	−	0.305945i
$547$	25.6047	−	9.31934i	1.09478	−	0.398466i	0.269388	−	0.963032i	$-0.413178\pi$
$547$	25.6047	−	9.31934i	1.09478	−	0.398466i	0.825388	+	0.564566i	$0.190956\pi$
$548$	37.3756	−	31.3618i	1.59661	−	1.33971i
$549$	−6.12234	+	1.07953i	−0.261295	+	0.0460733i
$550$	−33.2111	+	53.2653i	−1.41613	+	2.27124i
$551$	23.8121	+	9.62175i	1.01443	+	0.409901i
$552$			44.6961i			1.90239i
$553$	2.26997	−	0.400257i	0.0965290	−	0.0170207i
$554$	−11.6185	−	13.8464i	−0.493624	−	0.588278i
$555$	6.70637	−	2.44092i	0.284670	−	0.103611i
$556$	12.3540	−	33.9423i	0.523926	−	1.43948i
$557$	−8.95304	+	10.6698i	−0.379352	+	0.452095i	−0.921610	−	0.388118i	$-0.873125\pi$
$557$	−8.95304	+	10.6698i	−0.379352	+	0.452095i	0.542257	+	0.840212i	$0.317570\pi$
$558$	−15.9058	−	9.18321i	−0.673345	−	0.388756i
$559$	−23.9270	+	13.8143i	−1.01201	+	0.584282i
$560$	−31.6956	−	5.58878i	−1.33938	−	0.236169i
$561$	−9.83696	−	8.83974i	−0.415317	−	0.373214i
$562$	−16.6655	−	28.8656i	−0.702994	−	1.21762i
$563$	−6.89180	+	11.9370i	−0.290455	+	0.503083i	−0.973917	−	0.226903i	$-0.927140\pi$
$563$	−6.89180	+	11.9370i	−0.290455	+	0.503083i	0.683462	+	0.729986i	$0.260473\pi$
$564$	28.7531	−	34.2666i	1.21072	−	1.44289i
$565$	7.98154	−	21.9291i	0.335786	−	0.922564i
$566$	−17.6635	−	48.5301i	−0.742453	−	2.03987i
$567$	1.02184	+	1.21778i	0.0429133	+	0.0511421i
$568$	−52.3888	+	9.23755i	−2.19818	+	0.387599i
$569$	35.4578			1.48647			0.743234	−	0.669032i	$-0.233291\pi$
$569$	35.4578			1.48647			0.743234	+	0.669032i	$0.233291\pi$
$570$	−11.9532	−	36.7930i	−0.500665	−	1.54109i
$571$		−	17.4718i		−	0.731172i	−0.930778	−	0.365586i	$-0.880869\pi$
$571$		−	17.4718i		−	0.731172i	0.930778	−	0.365586i	$-0.119131\pi$
$572$	−69.0098	−	27.8029i	−2.88544	−	1.16250i
$573$	7.52013	+	8.96215i	0.314158	+	0.374399i
$574$	4.15300	+	11.4103i	0.173343	+	0.476255i
$575$	−55.7451	−	20.2895i	−2.32473	−	0.846132i
$576$	3.14472	+	2.63873i	0.131030	+	0.109947i
$577$	−16.3822	+	28.3747i	−0.681998	+	1.18126i	0.292372	+	0.956305i	$0.405555\pi$
$577$	−16.3822	+	28.3747i	−0.681998	+	1.18126i	−0.974370	+	0.224951i	$0.927778\pi$
$578$	1.37678	+	2.38466i	0.0572667	+	0.0991888i
$579$	5.09331	+	0.898087i	0.211671	+	0.0373232i
$580$	−15.4922	+	87.8605i	−0.643278	+	3.64821i
$581$	2.83418	+	4.90894i	0.117581	+	0.203657i
$582$	−18.9048	+	32.7441i	−0.783631	+	1.35729i
$583$	2.17714	+	6.67821i	0.0901681	+	0.276583i
$584$	−13.2978	+	36.5354i	−0.550267	+	1.51185i
$585$	17.4803	−	6.36231i	0.722721	−	0.263049i
$586$	−13.9825	+	11.7327i	−0.577612	+	0.484674i
$587$	−2.65025	−	15.0303i	−0.109388	−	0.620367i	−0.989377	−	0.145374i	$-0.953562\pi$
$587$	−2.65025	−	15.0303i	−0.109388	−	0.620367i	0.879989	−	0.474994i	$-0.157550\pi$
$588$		−	19.1131i		−	0.788209i
$589$	21.3889	−	23.7529i	0.881313	−	0.978723i
$590$			44.9919i			1.85229i
$591$	1.97978	+	11.2279i	0.0814374	+	0.461854i
$592$	7.39660	+	8.81493i	0.303998	+	0.362291i
$593$	0.0999878	+	0.274714i	0.00410601	+	0.0112812i	0.941729	−	0.336373i	$-0.109200\pi$
$593$	0.0999878	+	0.274714i	0.00410601	+	0.0112812i	−0.937623	+	0.347655i	$0.886978\pi$
$594$	5.12067	+	6.54089i	0.210104	+	0.268376i
$595$	17.2072	+	14.4386i	0.705428	+	0.591924i
$596$	24.7366	+	14.2817i	1.01325	+	0.585001i
$597$	−17.4570	+	10.0788i	−0.714467	+	0.412497i
$598$	17.9244	−	101.654i	0.732981	−	4.15694i
$599$	15.3529	+	2.70714i	0.627304	+	0.110611i	0.478258	−	0.878220i	$-0.341269\pi$
$599$	15.3529	+	2.70714i	0.627304	+	0.110611i	0.149046	+	0.988830i	$0.452380\pi$
$600$	37.2578	−	21.5108i	1.52104	−	0.878176i
$601$	21.9233	−	37.9723i	0.894271	−	1.54892i	0.0595659	−	0.998224i	$-0.481028\pi$
$601$	21.9233	−	37.9723i	0.894271	−	1.54892i	0.834705	−	0.550698i	$-0.185638\pi$
$602$	16.0525	+	13.4696i	0.654250	+	0.548981i
$603$	−4.55989	+	12.5282i	−0.185693	+	0.510187i
$604$	44.9794	−	16.3712i	1.83019	−	0.666133i
$605$	35.6398	+	15.7840i	1.44897	+	0.641710i
$606$	−2.86920	−	16.2721i	−0.116553	−	0.661008i
$607$	−23.7146			−0.962545			−0.481273	−	0.876571i	$-0.659825\pi$
$607$	−23.7146			−0.962545			−0.481273	+	0.876571i	$0.659825\pi$
$608$	10.0414	−	7.84456i	0.407231	−	0.318139i
$609$	9.36651			0.379550
$610$	54.3367	−	9.58103i	2.20003	−	0.387924i
$611$	−42.0973	+	35.3238i	−1.70307	+	1.42905i
$612$	5.82781	+	16.0118i	0.235575	+	0.647238i
$613$	−1.13089	+	3.10709i	−0.0456762	+	0.125494i	−0.960433	−	0.278510i	$-0.910160\pi$
$613$	−1.13089	+	3.10709i	−0.0456762	+	0.125494i	0.914757	+	0.404004i	$0.132382\pi$
$614$	3.36984	+	2.82763i	0.135996	+	0.114114i
$615$	−9.35870	−	5.40325i	−0.377379	−	0.217880i
$616$	−1.01811	+	30.0007i	−0.0410209	+	1.20876i
$617$	−1.22140	+	6.92690i	−0.0491717	+	0.278867i	−0.999473	−	0.0324655i	$-0.989664\pi$
$617$	−1.22140	+	6.92690i	−0.0491717	+	0.278867i	0.950301	+	0.311332i	$0.100775\pi$
$618$	1.34822	−	7.64611i	0.0542332	−	0.307572i
$619$	5.40308	+	9.35842i	0.217168	+	0.376146i	0.953941	−	0.299994i	$-0.0969846\pi$
$619$	5.40308	+	9.35842i	0.217168	+	0.376146i	−0.736773	+	0.676140i	$0.763651\pi$
$620$	96.1597	+	55.5178i	3.86187	+	2.22965i
$621$	−5.04625	+	6.01389i	−0.202499	+	0.241329i
$622$	62.0089	+	22.5694i	2.48633	+	0.904950i
$623$	−3.41558	+	1.24317i	−0.136842	+	0.0498066i
$624$	19.2794	+	22.9763i	0.771794	+	0.919788i
$625$	−0.986689	−	5.59579i	−0.0394676	−	0.223832i
$626$	−4.27587			−0.170898
$627$	−12.9877	+	6.34974i	−0.518679	+	0.253584i
$628$	−54.0821			−2.15811
$629$	−1.39459	−	7.90909i	−0.0556057	−	0.315356i
$630$	−9.06901	−	10.8080i	−0.361318	−	0.430602i
$631$	25.9430	−	9.44247i	1.03277	−	0.375899i	0.230637	−	0.973040i	$-0.425919\pi$
$631$	25.9430	−	9.44247i	1.03277	−	0.375899i	0.802136	+	0.597141i	$0.203697\pi$
$632$	−7.75723	−	2.82340i	−0.308566	−	0.112309i
$633$	6.35311	−	7.57134i	0.252513	−	0.300934i
$634$	16.2179	+	9.36343i	0.644097	+	0.371869i
$635$	−3.43127	−	5.94314i	−0.136166	−	0.235846i
$636$	1.57150	−	8.91240i	0.0623139	−	0.353400i
$637$	−4.07740	+	23.1241i	−0.161552	+	0.916209i
$638$	48.9159	+	1.66003i	1.93660	+	0.0657212i
$639$	−8.09188	−	4.67185i	−0.320110	−	0.184815i
$640$	−43.7803	−	36.7360i	−1.73057	−	1.45212i
$641$	−11.3617	+	31.2159i	−0.448759	+	1.23296i	0.484829	+	0.874609i	$0.338882\pi$
$641$	−11.3617	+	31.2159i	−0.448759	+	1.23296i	−0.933588	+	0.358347i	$0.883340\pi$
$642$	17.1511	+	47.1222i	0.676899	+	1.85976i
$643$	−21.2974	+	17.8706i	−0.839887	+	0.704749i	−0.957538	−	0.288306i	$-0.906908\pi$
$643$	−21.2974	+	17.8706i	−0.839887	+	0.704749i	0.117651	+	0.993055i	$0.462463\pi$
$644$	−52.5190	+	9.26051i	−2.06954	+	0.364915i
$645$	−18.6493			−0.734316
$646$	−43.1103	+	6.05710i	−1.69615	+	0.238313i
$647$	−24.2574			−0.953655			−0.476828	−	0.878997i	$-0.658213\pi$
$647$	−24.2574			−0.953655			−0.476828	+	0.878997i	$0.658213\pi$
$648$	−0.988640	−	5.60686i	−0.0388375	−	0.220258i
$649$	16.6474	−	2.35634i	0.653468	−	0.0924943i
$650$	−93.3633	+	33.9815i	−3.66201	+	1.33286i
$651$	3.98703	−	10.9543i	0.156264	−	0.429332i
$652$	53.6628	+	45.0284i	2.10160	+	1.76345i
$653$	11.9905	−	20.7681i	0.469223	−	0.812718i	−0.530158	−	0.847899i	$-0.677867\pi$
$653$	11.9905	−	20.7681i	0.469223	−	0.812718i	0.999381	+	0.0351809i	$0.0112007\pi$
$654$	−25.6544	+	14.8116i	−1.00317	+	0.579178i
$655$	−61.6105	−	10.8636i	−2.40732	−	0.424476i
$656$	3.02565	−	17.1593i	0.118132	−	0.669958i
$657$	−5.91412	+	3.41452i	−0.230732	+	0.133213i
$658$	36.0961	+	20.8401i	1.40717	+	0.812431i
$659$	−10.6139	−	8.90612i	−0.413459	−	0.346933i	0.412210	−	0.911089i	$-0.364757\pi$
$659$	−10.6139	−	8.90612i	−0.413459	−	0.346933i	−0.825668	+	0.564156i	$0.809202\pi$
$660$	−30.9574	−	39.5435i	−1.20502	−	1.53923i
$661$	2.94705	+	8.09696i	0.114627	+	0.314935i	0.983718	−	0.179716i	$-0.0575180\pi$
$661$	2.94705	+	8.09696i	0.114627	+	0.314935i	−0.869091	+	0.494651i	$0.835296\pi$
$662$	−16.7666	−	19.9817i	−0.651652	−	0.776609i
$663$	−3.63502	−	20.6152i	−0.141172	−	0.800628i
$664$		−	20.3006i		−	0.787815i
$665$	21.6806	−	11.5267i	0.840736	−	0.446987i
$666$			5.04441i			0.195467i
$667$	8.03218	+	45.5528i	0.311007	+	1.76381i
$668$	11.6396	−	9.76681i	0.450351	−	0.377889i
$669$	−19.4664	+	7.08519i	−0.752614	+	0.273929i
$670$	40.4697	−	111.190i	1.56348	−	4.29563i
$671$	−6.39082	−	19.6033i	−0.246715	−	0.756777i
$672$	2.32358	−	4.02455i	0.0896339	−	0.155250i
$673$	8.61293	+	14.9180i	0.332004	+	0.575048i	0.982905	−	0.184115i	$-0.0589419\pi$
$673$	8.61293	+	14.9180i	0.332004	+	0.575048i	−0.650901	+	0.759163i	$0.725609\pi$
$674$	−10.9647	+	62.1838i	−0.422344	+	2.39523i
$675$	7.44167	+	1.31217i	0.286430	+	0.0505053i
$676$	−31.1056	−	53.8765i	−1.19637	−	2.07217i
$677$	−20.3203	+	35.1957i	−0.780971	+	1.35268i	0.150405	+	0.988624i	$0.451942\pi$
$677$	−20.3203	+	35.1957i	−0.780971	+	1.35268i	−0.931376	+	0.364058i	$0.881391\pi$
$678$	12.6357	+	10.6026i	0.485269	+	0.407189i
$679$	−22.5508	−	8.20783i	−0.865422	−	0.314988i
$680$	−27.5144	−	75.5953i	−1.05513	−	2.89895i
$681$	−11.4701	−	13.6696i	−0.439537	−	0.523820i
$682$	22.7634	−	56.5014i	0.871657	−	2.16355i
$683$		−	18.9965i		−	0.726879i	−0.931618	−	0.363440i	$-0.881602\pi$
$683$		−	18.9965i		−	0.726879i	0.931618	−	0.363440i	$-0.118398\pi$
$684$	18.6148	+	0.650746i	0.711755	+	0.0248819i
$685$	−40.4595			−1.54588
$686$	44.9864	−	7.93231i	1.71759	−	0.302857i
$687$	−6.49765	−	7.74360i	−0.247901	−	0.295437i
$688$	−10.2844	−	28.2561i	−0.392088	−	1.07725i
$689$	−3.80257	+	10.4475i	−0.144866	+	0.398017i
$690$	44.7863	−	53.3742i	1.70499	−	2.03192i
$691$	−20.1729	+	34.9405i	−0.767413	+	1.32920i	0.171549	+	0.985176i	$0.445123\pi$
$691$	−20.1729	+	34.9405i	−0.767413	+	1.32920i	−0.938961	+	0.344022i	$0.888210\pi$
$692$	−10.7813	−	18.6738i	−0.409845	−	0.709873i
$693$	−3.52410	+	3.92166i	−0.133870	+	0.148972i
$694$	40.7844	+	7.19138i	1.54815	+	0.272981i
$695$	−25.9402	+	14.9766i	−0.983968	+	0.568094i
$696$	−29.0509	−	16.7726i	−1.10117	−	0.635763i
$697$	−7.81674	+	9.31562i	−0.296080	+	0.352854i
$698$	−26.8121	+	73.6655i	−1.01485	+	2.78828i
$699$	−4.06137	+	1.47822i	−0.153615	+	0.0559113i
$700$	32.9951	+	39.3220i	1.24710	+	1.48623i
$701$	−50.0486	+	8.82491i	−1.89031	+	0.333312i	−0.993933	−	0.109985i	$-0.964920\pi$
$701$	−50.0486	+	8.82491i	−1.89031	+	0.333312i	−0.896374	+	0.443298i	$0.853808\pi$
$702$			13.1484i			0.496253i
$703$	−8.58708	−	1.82558i	−0.323868	−	0.0688530i
$704$	−7.20361	+	11.5534i	−0.271496	+	0.435437i
$705$	−36.5305	+	6.44132i	−1.37582	+	0.242594i
$706$	19.0996	−	16.0264i	0.718821	−	0.603163i
$707$	9.85487	−	3.58688i	0.370631	−	0.134899i
$708$	−20.3559	−	7.40895i	−0.765022	−	0.278445i
$709$	−21.4395	−	17.9899i	−0.805178	−	0.675625i	0.144273	−	0.989538i	$-0.453916\pi$
$709$	−21.4395	−	17.9899i	−0.805178	−	0.675625i	−0.949452	+	0.313913i	$0.898360\pi$
$710$	71.8167	+	41.4634i	2.69523	+	1.55609i
$711$	−0.724974	−	1.25569i	−0.0271887	−	0.0470921i
$712$	12.8198	+	2.26048i	0.480444	+	0.0847152i
$713$	56.6937	+	9.99663i	2.12320	+	0.374377i
$714$	−13.7498	+	7.93845i	−0.514573	+	0.297089i
$715$	29.0182	+	54.4461i	1.08522	+	2.03617i
$716$	58.9269	−	70.2263i	2.20220	−	2.62448i
$717$	11.4836	+	4.17967i	0.428861	+	0.156093i
$718$	−26.7662	−	73.5394i	−0.998904	−	2.74447i
$719$	40.7294	−	34.1760i	1.51895	−	1.27455i	0.675475	−	0.737383i	$-0.263938\pi$
$719$	40.7294	−	34.1760i	1.51895	−	1.27455i	0.843475	−	0.537168i	$-0.180506\pi$
$720$	3.51561	+	19.9380i	0.131019	+	0.743046i
$721$	4.92792			0.183525
$722$	−11.5160	+	46.1734i	−0.428582	+	1.71840i
$723$		−	1.13075i		−	0.0420531i
$724$	66.6039	−	11.7441i	2.47531	−	0.436465i
$725$	34.1063	−	28.6186i	1.26668	−	1.06287i
$726$	−19.0994	+	19.8560i	−0.708846	+	0.736926i
$727$	28.5792	+	10.4020i	1.05994	+	0.385787i	0.812407	−	0.583091i	$-0.198157\pi$
$727$	28.5792	+	10.4020i	1.05994	+	0.385787i	0.247536	+	0.968879i	$0.420379\pi$
$728$	−30.5409	+	36.3972i	−1.13192	+	1.34897i
$729$	0.500000	−	0.866025i	0.0185185	−	0.0320750i
$730$	52.4888	−	30.3044i	1.94270	−	1.12162i
$731$	−3.64423	+	20.6675i	−0.134787	+	0.764414i
$732$	−4.61299	+	26.1616i	−0.170501	+	0.966960i
$733$	−23.7704	+	13.7239i	−0.877981	+	0.506903i	−0.869992	−	0.493065i	$-0.835876\pi$
$733$	−23.7704	+	13.7239i	−0.877981	+	0.506903i	−0.00798904	+	0.999968i	$0.502543\pi$
$734$	8.98260	−	15.5583i	0.331554	−	0.574268i
$735$	−10.1879	+	12.1415i	−0.375786	+	0.447845i
$736$	21.5654	+	7.84917i	0.794912	+	0.289324i
$737$	−43.2607	−	9.15090i	−1.59353	−	0.337078i
$738$	5.85123	−	4.90977i	0.215387	−	0.180731i
$739$	49.2707	−	8.68776i	1.81245	−	0.319584i	0.838255	−	0.545278i	$-0.183576\pi$
$739$	49.2707	−	8.68776i	1.81245	−	0.319584i	0.974198	+	0.225694i	$0.0724648\pi$
$740$		−	30.4964i		−	1.12107i
$741$	−22.3824	−	4.75841i	−0.822239	−	0.174805i
$742$	8.43248			0.309566
$743$	−5.77573	−	32.7558i	−0.211891	−	1.20169i	−0.886221	−	0.463263i	$-0.846679\pi$
$743$	−5.77573	−	32.7558i	−0.211891	−	1.20169i	0.674330	−	0.738430i	$-0.264432\pi$
$744$	−31.9819	+	26.8360i	−1.17251	+	0.983855i
$745$	−8.10118	−	22.2578i	−0.296804	−	0.815463i
$746$	62.1175	+	22.6089i	2.27428	+	0.827771i
$747$	2.29196	−	2.73146i	0.0838586	−	0.0999388i
$748$	−49.8721	+	26.5804i	−1.82350	+	0.971876i
$749$	−27.5641	+	15.9142i	−1.00717	+	0.581490i
$750$	−22.3444	−	3.93992i	−0.815901	−	0.143865i
$751$	11.7056	+	2.06402i	0.427144	+	0.0753170i	0.383088	−	0.923712i	$-0.374861\pi$
$751$	11.7056	+	2.06402i	0.427144	+	0.0753170i	0.0440564	+	0.999029i	$0.485972\pi$
$752$	−29.9046	−	51.7962i	−1.09051	−	1.88881i
$753$	−10.6252	−	6.13444i	−0.387203	−	0.223551i
$754$	59.3454	+	49.7967i	2.16123	+	1.81349i
$755$	−37.2993	−	13.5758i	−1.35746	−	0.494075i
$756$	6.38336	−	2.32335i	0.232160	−	0.0844995i
$757$	21.3848	−	17.9439i	0.777242	−	0.652184i	−0.165310	−	0.986242i	$-0.552863\pi$
$757$	21.3848	−	17.9439i	0.777242	−	0.652184i	0.942553	+	0.334058i	$0.108418\pi$
$758$	47.6250	−	8.39757i	1.72982	−	0.305013i
$759$	−22.0945	−	13.7760i	−0.801981	−	0.500038i
$760$	−87.8847	−	3.07232i	−3.18791	−	0.111445i
$761$			16.6696i			0.604272i	0.953265	+	0.302136i	$0.0976996\pi$
$761$			16.6696i			0.604272i	−0.953265	+	0.302136i	$0.902300\pi$
$762$	4.77689	−	0.842295i	0.173048	−	0.0305131i
$763$	−12.0857	−	14.4032i	−0.437532	−	0.521431i
$764$	46.9776	−	17.0984i	1.69959	−	0.618600i
$765$	4.83273	−	13.2778i	0.174728	−	0.480060i
$766$	33.5502	−	39.9836i	1.21222	−	1.44467i
$767$	23.0472	+	13.3063i	0.832185	+	0.480462i
$768$	27.8733	−	16.0926i	1.00579	−	0.580693i
$769$	−4.67387	−	0.824129i	−0.168544	−	0.0297189i	0.0887392	−	0.996055i	$-0.471716\pi$
$769$	−4.67387	−	0.824129i	−0.168544	−	0.0297189i	−0.257283	+	0.966336i	$0.582827\pi$
$770$	31.2770	−	34.8054i	1.12714	−	1.25430i
$771$	8.94148	+	15.4871i	0.322019	+	0.557754i
$772$	11.0501	−	19.1393i	0.397701	−	0.688838i
$773$	−5.28816	+	6.30218i	−0.190202	+	0.226674i	−0.852715	−	0.522377i	$-0.825045\pi$
$773$	−5.28816	+	6.30218i	−0.190202	+	0.226674i	0.662513	+	0.749050i	$0.269490\pi$
$774$	4.50841	−	12.3868i	0.162051	−	0.445233i
$775$	−18.9519	−	52.0699i	−0.680772	−	1.87041i
$776$	55.2454	+	65.8389i	1.98319	+	2.36348i
$777$	−3.15309	+	0.555974i	−0.113116	+	0.0199455i
$778$	29.1226			1.04409
$779$	6.24031	+	11.7374i	0.223582	+	0.420536i
$780$		−	79.4895i		−	2.84618i
$781$	11.5806	−	28.7444i	0.414387	−	1.02856i
$782$	−50.3986	−	60.0627i	−1.80225	−	2.14784i
$783$	−2.01518	−	5.53665i	−0.0720166	−	0.197864i
$784$	−24.0141	−	8.74041i	−0.857646	−	0.312158i
$785$	34.3553	+	28.8275i	1.22619	+	1.02890i
$786$	22.1096	−	38.2950i	0.788625	−	1.36594i
$787$	−11.4320	−	19.8008i	−0.407506	−	0.705822i	0.587103	−	0.809512i	$-0.300268\pi$
$787$	−11.4320	−	19.8008i	−0.407506	−	0.705822i	−0.994610	+	0.103690i	$0.966935\pi$
$788$	47.9784	+	8.45988i	1.70916	+	0.301371i
$789$	−0.876966	+	4.97352i	−0.0312208	+	0.177062i
$790$	6.43426	+	11.1445i	0.228921	+	0.396502i
$791$	−5.23465	+	9.06668i	−0.186123	+	0.322374i
$792$	17.9528	−	5.85273i	0.637924	−	0.207968i
$793$	11.1621	−	30.6677i	0.396378	−	1.08904i
$794$	−34.8389	+	12.6803i	−1.23639	+	0.450007i
$795$	−5.74889	+	4.82389i	−0.203892	+	0.171086i
$796$	14.9574	+	84.8275i	0.530150	+	3.00663i
$797$		−	30.6580i		−	1.08596i	−0.839745	−	0.542980i	$-0.817296\pi$
$797$		−	30.6580i		−	1.08596i	0.839745	−	0.542980i	$-0.182704\pi$
$798$	2.41476	+	17.1866i	0.0854816	+	0.608400i
$799$			41.7424i			1.47674i
$800$	−3.83583	−	21.7541i	−0.135617	−	0.769123i
$801$	1.46971	+	1.75153i	0.0519295	+	0.0618872i
$802$	−0.413689	−	1.13660i	−0.0146079	−	0.0401348i
$803$	−13.9619	−	17.8342i	−0.492704	−	0.629356i
$804$	43.6419	+	36.6199i	1.53913	+	1.29148i
$805$	38.2986	+	22.1117i	1.34985	+	0.779334i
$806$	83.4996	−	48.2085i	2.94115	−	1.69807i
$807$	−2.48640	+	14.1011i	−0.0875255	+	0.496382i
$808$	−36.9886	−	6.52210i	−1.30126	−	0.229447i
$809$	−7.14911	+	4.12754i	−0.251349	+	0.145117i	−0.620382	−	0.784300i	$-0.713022\pi$
$809$	−7.14911	+	4.12754i	−0.251349	+	0.145117i	0.369033	+	0.929416i	$0.379689\pi$
$810$	−4.43758	+	7.68611i	−0.155921	+	0.270063i
$811$	9.34285	+	7.83958i	0.328072	+	0.275285i	0.791914	−	0.610633i	$-0.209085\pi$
$811$	9.34285	+	7.83958i	0.328072	+	0.275285i	−0.463842	+	0.885918i	$0.653529\pi$
$812$	13.6891	−	37.6106i	0.480395	−	1.31987i
$813$	13.3709	−	4.86661i	0.468938	−	0.170680i
$814$	−16.5653	+	2.34471i	−0.580613	+	0.0821821i
$815$	−10.0873	−	57.2081i	−0.353344	−	2.00391i
$816$	22.7826			0.797551
$817$	19.4543	+	12.1574i	0.680621	+	0.425335i
$818$	−7.79642			−0.272596
$819$	−8.21858	+	1.44916i	−0.287181	+	0.0506377i
$820$	−35.3741	+	29.6824i	−1.23532	+	1.03656i
$821$	4.78542	+	13.1478i	0.167012	+	0.458863i	0.994760	−	0.102238i	$-0.0326003\pi$
$821$	4.78542	+	13.1478i	0.167012	+	0.458863i	−0.827748	+	0.561101i	$0.810378\pi$
$822$	9.78095	−	26.8729i	0.341150	−	0.937302i
$823$	27.1228	+	22.7587i	0.945442	+	0.793320i	0.978524	−	0.206133i	$-0.0660879\pi$
$823$	27.1228	+	22.7587i	0.945442	+	0.793320i	−0.0330824	+	0.999453i	$0.510532\pi$
$824$	−15.2843	−	8.82440i	−0.532454	−	0.307412i
$825$	−0.850023	+	25.0476i	−0.0295940	+	0.872044i
$826$	3.50499	−	19.8778i	0.121954	−	0.691637i
$827$	4.26138	−	24.1675i	0.148183	−	0.840385i	−0.816574	−	0.577241i	$-0.804129\pi$
$827$	4.26138	−	24.1675i	0.148183	−	0.840385i	0.964756	−	0.263144i	$-0.0847595\pi$
$828$	16.7733	+	29.0522i	0.582912	+	1.00963i
$829$	−36.4142	−	21.0237i	−1.26472	−	0.730185i	−0.290734	−	0.956804i	$-0.593899\pi$
$829$	−36.4142	−	21.0237i	−1.26472	−	0.730185i	−0.973983	+	0.226619i	$0.927233\pi$
$830$	−20.3416	+	24.2421i	−0.706066	+	0.841456i
$831$	−6.78152	−	2.46827i	−0.235248	−	0.0856233i
$832$	−20.2508	+	7.37070i	−0.702072	+	0.255533i
$833$	11.4646	+	13.6629i	0.397224	+	0.473393i
$834$	−3.67639	−	20.8498i	−0.127303	−	0.721971i
$835$	−12.6000			−0.436042
$836$	6.51544	+	61.4315i	0.225341	+	2.12465i
$837$	−7.33300			−0.253466
$838$	−4.26187	−	24.1703i	−0.147224	−	0.834949i
$839$	29.1674	+	34.7604i	1.00697	+	1.20006i	0.979707	+	0.200433i	$0.0642348\pi$
$839$	29.1674	+	34.7604i	1.00697	+	1.20006i	0.0272632	+	0.999628i	$0.491321\pi$
$840$	−30.1373	+	10.9691i	−1.03983	+	0.378469i
$841$	−5.37078	−	1.95481i	−0.185199	−	0.0674071i
$842$	52.5480	−	62.6243i	1.81092	−	2.15818i
$843$	−11.5249	−	6.65391i	−0.396939	−	0.229173i
$844$	−21.1172	−	36.5760i	−0.726883	−	1.25900i
$845$	−8.95831	+	50.8051i	−0.308175	+	1.74775i
$846$	4.55285	−	25.8205i	0.156530	−	0.887727i
$847$	−14.5164	−	9.74994i	−0.498788	−	0.335012i
$848$	−10.4791	−	6.05011i	−0.359854	−	0.207762i
$849$	−15.7956	−	13.2541i	−0.542105	−	0.454880i
$850$	−25.8119	+	70.9176i	−0.885341	+	2.43245i
$851$	−5.40781	−	14.8578i	−0.185377	−	0.509320i
$852$	−30.5858	+	25.6645i	−1.04785	+	0.879252i
$853$	−32.5893	+	5.74637i	−1.11584	+	0.196752i	−0.701012	−	0.713149i	$-0.747268\pi$
$853$	−32.5893	+	5.74637i	−1.11584	+	0.196752i	−0.414824	+	0.909902i	$0.636157\pi$
$854$	−24.7528			−0.847023
$855$	−11.4781	−	10.3357i	−0.392542	−	0.353473i
$856$	113.990			3.89608
$857$	−7.20721	−	40.8741i	−0.246194	−	1.39623i	−0.817704	−	0.575639i	$-0.804753\pi$
$857$	−7.20721	−	40.8741i	−0.246194	−	1.39623i	0.571511	−	0.820595i	$-0.306358\pi$
$858$	−43.1778	+	6.11154i	−1.47407	+	0.208645i
$859$	−42.1204	+	15.3306i	−1.43713	+	0.523073i	−0.938966	−	0.344010i	$-0.888215\pi$
$859$	−42.1204	+	15.3306i	−1.43713	+	0.523073i	−0.498164	+	0.867083i	$0.665992\pi$
$860$	−27.2560	+	74.8852i	−0.929421	+	2.55356i
$861$	3.71382	+	3.11627i	0.126567	+	0.106202i
$862$	−27.8509	+	48.2392i	−0.948605	+	1.64303i
$863$	16.0660	−	9.27570i	0.546892	−	0.315748i	−0.200975	−	0.979596i	$-0.564411\pi$
$863$	16.0660	−	9.27570i	0.546892	−	0.315748i	0.747868	+	0.663848i	$0.231078\pi$
$864$	−2.87887	−	0.507622i	−0.0979411	−	0.0172697i
$865$	−3.10499	+	17.6093i	−0.105573	+	0.598733i
$866$	−50.4728	+	29.1405i	−1.71514	+	0.990234i
$867$	0.952104	+	0.549697i	0.0323351	+	0.0186687i
$868$	−38.1592	−	32.0194i	−1.29521	−	1.08681i
$869$	3.78658	−	2.96440i	0.128451	−	0.100560i
$870$	17.8850	+	49.1387i	0.606359	+	1.66596i
$871$	−44.9883	−	53.6149i	−1.52437	−	1.81667i
$872$	11.6930	+	66.3144i	0.395976	+	2.24569i
$873$			15.0960i			0.510921i
$874$	−81.5141	+	26.4821i	−2.75725	+	0.895771i
$875$		−	14.4009i		−	0.486840i
$876$	5.06730	+	28.7381i	0.171208	+	0.970971i
$877$	26.6771	−	22.3847i	0.900820	−	0.755878i	−0.0695305	−	0.997580i	$-0.522150\pi$
$877$	26.6771	−	22.3847i	0.900820	−	0.755878i	0.970351	+	0.241702i	$0.0777057\pi$
$878$	−35.4956	+	12.9193i	−1.19792	+	0.436007i
$879$	−2.49253	+	6.84817i	−0.0840710	+	0.230983i
$880$	−63.8402	+	20.8124i	−2.15205	+	0.701585i
$881$	−6.93414	+	12.0103i	−0.233617	+	0.404637i	−0.958870	−	0.283846i	$-0.908390\pi$
$881$	−6.93414	+	12.0103i	−0.233617	+	0.404637i	0.725253	+	0.688483i	$0.241723\pi$
$882$	−5.60139	−	9.70189i	−0.188609	−	0.326680i
$883$	−2.36663	+	13.4218i	−0.0796436	+	0.451681i	0.918741	+	0.394861i	$0.129207\pi$
$883$	−2.36663	+	13.4218i	−0.0796436	+	0.451681i	−0.998384	+	0.0568201i	$0.981904\pi$
$884$	−88.0916	−	15.5329i	−2.96284	−	0.522429i
$885$	8.98176	+	15.5569i	0.301919	+	0.522939i
$886$	−37.2763	+	64.5645i	−1.25232	+	2.16909i
$887$	22.2674	+	18.6845i	0.747665	+	0.627365i	0.934884	−	0.354953i	$-0.115503\pi$
$887$	22.2674	+	18.6845i	0.747665	+	0.627365i	−0.187219	+	0.982318i	$0.559947\pi$
$888$	10.7751	+	3.92182i	0.361589	+	0.131608i
$889$	1.05298	+	2.89303i	0.0353158	+	0.0970292i
$890$	−13.0439	−	15.5451i	−0.437232	−	0.521072i
$891$	3.07634	+	1.23941i	0.103061	+	0.0415216i
$892$			88.5211i			2.96390i
$893$	42.3065	+	17.0948i	1.41573	+	0.572055i
$894$	16.7419			0.559933
$895$	−74.8659	+	13.2009i	−2.50249	+	0.441257i
$896$	16.4807	+	19.6409i	0.550581	+	0.656156i
$897$	−14.0956	−	38.7272i	−0.470637	−	1.29307i
$898$	−5.80153	+	15.9396i	−0.193600	+	0.531911i
$899$	−27.7722	+	33.0977i	−0.926256	+	1.10387i
$900$	16.1449	−	27.9638i	0.538164	−	0.932127i
$901$	4.22253	+	7.31364i	0.140673	+	0.243653i
$902$	18.8429	+	16.9327i	0.627400	+	0.563797i
$903$	8.23943	+	1.45283i	0.274191	+	0.0483473i
$904$	32.4713	−	18.7473i	1.07998	−	0.623527i
$905$	−48.5697	−	28.0418i	−1.61451	−	0.932139i
$906$	18.0339	−	21.4920i	0.599138	−	0.714024i
$907$	−0.325195	+	0.893465i	−0.0107979	+	0.0296670i	−0.944974	−	0.327144i	$-0.893914\pi$
$907$	−0.325195	+	0.893465i	−0.0107979	+	0.0296670i	0.934177	+	0.356811i	$0.116136\pi$
$908$	−71.6529	+	26.0795i	−2.37789	+	0.865480i
$909$	−4.24049	−	5.05362i	−0.140648	−	0.167618i
$910$	72.9412	−	12.8615i	2.41798	−	0.426355i
$911$		−	14.5384i		−	0.481680i	−0.970565	−	0.240840i	$-0.922577\pi$
$911$		−	14.5384i		−	0.481680i	0.970565	−	0.240840i	$-0.0774229\pi$
$912$	9.33017	−	23.0905i	0.308953	−	0.764602i
$913$	10.0351	+	6.25695i	0.332115	+	0.207075i
$914$	36.8478	−	6.49726i	1.21882	−	0.214910i
$915$	16.8754	−	14.1601i	0.557883	−	0.468119i
$916$	−40.5902	+	14.7736i	−1.34114	+	0.488135i
$917$	26.3737	+	9.59925i	0.870937	+	0.316995i
$918$	7.65074	+	6.41973i	0.252512	+	0.211883i
$919$	18.0529	+	10.4229i	0.595512	+	0.343819i	0.767274	−	0.641320i	$-0.221613\pi$
$919$	18.0529	+	10.4229i	0.595512	+	0.343819i	−0.171762	+	0.985138i	$0.554946\pi$
$920$	−79.1906	−	137.162i	−2.61084	−	4.52210i
$921$	1.72968	+	0.304989i	0.0569948	+	0.0100497i
$922$	−44.2094	−	7.79531i	−1.45596	−	0.256725i
$923$	42.4794	−	24.5255i	1.39823	−	0.807267i
$924$	10.5967	+	19.8823i	0.348606	+	0.654080i
$925$	−9.78260	+	11.6585i	−0.321650	+	0.383328i
$926$	45.6387	+	16.6111i	1.49978	+	0.545875i
$927$	−1.06023	−	2.91295i	−0.0348224	−	0.0956738i
$928$	−13.1943	+	11.0713i	−0.433124	+	0.363434i
$929$	5.67054	+	32.1592i	0.186044	+	1.05511i	0.924606	+	0.380925i	$0.124394\pi$
$929$	5.67054	+	32.1592i	0.186044	+	1.05511i	−0.738562	+	0.674186i	$0.764495\pi$
$930$	65.0816			2.13411
$931$	18.5427	−	6.02410i	0.607711	−	0.197432i
$932$			18.4686i			0.604959i
$933$	25.9464	−	4.57505i	0.849447	−	0.149780i
$934$	−26.6757	+	22.3836i	−0.872857	+	0.732414i
$935$	45.8492	+	9.69844i	1.49943	+	0.317173i
$936$	28.0856	+	10.2223i	0.918005	+	0.334127i
$937$	−7.27330	+	8.66798i	−0.237608	+	0.283171i	−0.871651	−	0.490128i	$-0.836950\pi$
$937$	−7.27330	+	8.66798i	−0.237608	+	0.283171i	0.634042	+	0.773298i	$0.281395\pi$
$938$	−26.5418	+	45.9718i	−0.866622	+	1.50103i
$939$	−1.47847	+	0.853596i	−0.0482481	+	0.0278560i
$940$	−27.5246	+	156.100i	−0.897755	+	5.09142i
$941$	1.27724	−	7.24359i	0.0416368	−	0.236134i	−0.956886	−	0.290463i	$-0.906191\pi$
$941$	1.27724	−	7.24359i	0.0416368	−	0.236134i	0.998523	+	0.0543286i	$0.0173018\pi$
$942$	−27.4523	+	15.8496i	−0.894446	+	0.516408i
$943$	−11.9708	+	20.7340i	−0.389823	+	0.675192i
$944$	−18.6175	+	22.1875i	−0.605949	+	0.722142i
$945$	−5.29341	−	1.92665i	−0.172195	−	0.0626738i
$946$	42.7723	+	9.04759i	1.39065	+	0.294163i
$947$	−1.22270	+	1.02596i	−0.0397323	+	0.0333394i	−0.662438	−	0.749117i	$-0.730478\pi$
$947$	−1.22270	+	1.02596i	−0.0397323	+	0.0333394i	0.622705	+	0.782456i	$0.286034\pi$
$948$	−6.10170	+	1.07589i	−0.198174	+	0.0349434i
$949$		−	35.8500i		−	1.16374i
$950$	61.3051	+	55.2036i	1.98900	+	1.79104i
$951$	7.47692			0.242456
$952$	6.26703	+	35.5421i	0.203115	+	1.15193i
$953$	37.8247	−	31.7387i	1.22526	−	1.02812i	0.226729	−	0.973958i	$-0.427197\pi$
$953$	37.8247	−	31.7387i	1.22526	−	1.02812i	0.998532	−	0.0541582i	$-0.0172475\pi$
$954$	−1.81422	−	4.98453i	−0.0587376	−	0.161380i
$955$	−38.9563	−	14.1789i	−1.26060	−	0.458819i
$956$	33.5664	−	40.0029i	1.08561	−	1.29379i
$957$	17.2451	−	9.19114i	0.557455	−	0.297107i
$958$	−30.8560	+	17.8147i	−0.996911	+	0.575567i
$959$	17.8754	+	3.15191i	0.577226	+	0.101780i
$960$	−14.3256	−	2.52599i	−0.462357	−	0.0815261i
$961$	11.3865	+	19.7220i	0.367306	+	0.636192i
$962$	−22.9335	−	13.2407i	−0.739406	−	0.426896i
$963$	15.3374	+	12.8696i	0.494240	+	0.414717i
$964$	−4.54046	−	1.65259i	−0.146238	−	0.0532264i
$965$	−17.2214	+	6.26807i	−0.554376	+	0.201776i
$966$	−23.9450	+	20.0922i	−0.770417	+	0.646456i
$967$	−48.1894	+	8.49709i	−1.54967	+	0.273248i	−0.882014	−	0.471224i	$-0.843812\pi$
$967$	−48.1894	+	8.49709i	−1.54967	+	0.273248i	−0.667654	+	0.744472i	$0.732701\pi$
$968$	27.5645	+	56.2346i	0.885955	+	1.80745i
$969$	−13.6971	+	10.7005i	−0.440014	+	0.343750i
$970$		−	133.979i		−	4.30181i
$971$	21.4903	−	3.78933i	0.689658	−	0.121605i	0.182174	−	0.983266i	$-0.441687\pi$
$971$	21.4903	−	3.78933i	0.689658	−	0.121605i	0.507484	+	0.861661i	$0.330576\pi$
$972$	−2.74672	−	3.27341i	−0.0881011	−	0.104995i
$973$	12.6273	−	4.59597i	0.404813	−	0.147340i
$974$	−15.5761	+	42.7949i	−0.499090	+	1.37124i
$975$	−25.4986	+	30.3880i	−0.816607	+	0.973195i
$976$	30.7605	+	17.7596i	0.984619	+	0.568470i
$977$	28.3324	−	16.3577i	0.906435	−	0.523331i	0.0271528	−	0.999631i	$-0.491356\pi$
$977$	28.3324	−	16.3577i	0.906435	−	0.523331i	0.879282	+	0.476301i	$0.158023\pi$
$978$	40.4358	+	7.12993i	1.29300	+	0.227990i
$979$	−5.06869	+	5.64049i	−0.161996	+	0.180271i
$980$	33.8637	+	58.6536i	1.08174	+	1.87362i
$981$	−5.91369	+	10.2428i	−0.188810	+	0.327028i
$982$	−55.8769	+	66.5915i	−1.78310	+	2.12502i
$983$	−2.02022	+	5.55052i	−0.0644351	+	0.177034i	−0.967732	−	0.251982i	$-0.918918\pi$
$983$	−2.02022	+	5.55052i	−0.0644351	+	0.177034i	0.903297	+	0.429016i	$0.141140\pi$
$984$	−5.93842	−	16.3157i	−0.189310	−	0.520125i
$985$	−25.9686	−	30.9482i	−0.827428	−	0.986091i
$986$	57.9512	−	10.2184i	1.84554	−	0.325419i
$987$	16.6413			0.529698
$988$	−51.8190	+	82.9207i	−1.64858	+	2.63806i
$989$			41.3172i			1.31381i
$990$	−27.3030	−	10.9999i	−0.867747	−	0.349600i
$991$	13.3510	+	15.9111i	0.424107	+	0.505431i	0.935213	−	0.354087i	$-0.115208\pi$
$991$	13.3510	+	15.9111i	0.424107	+	0.505431i	−0.511105	+	0.859518i	$0.670764\pi$
$992$	7.33169	+	20.1437i	0.232781	+	0.639562i
$993$	−9.78635	−	3.56194i	−0.310561	−	0.113035i
$994$	−28.4991	−	23.9136i	−0.903937	−	0.758493i
$995$	35.7143	−	61.8590i	1.13222	−	1.96106i
$996$	−7.61829	−	13.1953i	−0.241395	−	0.418108i
$997$	−24.8776	−	4.38659i	−0.787881	−	0.138925i	−0.234791	−	0.972046i	$-0.575441\pi$
$997$	−24.8776	−	4.38659i	−0.787881	−	0.138925i	−0.553090	+	0.833121i	$0.686552\pi$
$998$	15.5749	−	88.3296i	0.493015	−	2.79603i
$999$	1.00702	+	1.74421i	0.0318607	+	0.0551843i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	627.2.be.a.10.4	✓	240
11.10	odd	2	inner	627.2.be.a.10.37	yes	240
19.2	odd	18	inner	627.2.be.a.439.37	yes	240
209.21	even	18	inner	627.2.be.a.439.4	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
627.2.be.a.10.4	✓	240	1.1	even	1	trivial
627.2.be.a.10.37	yes	240	11.10	odd	2	inner
627.2.be.a.439.4	yes	240	209.21	even	18	inner
627.2.be.a.439.37	yes	240	19.2	odd	18	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:	\( N \)	\(=\)	\( 627 = 3 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	627.be (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.434923 - 2.46657i) q^{2} +(-0.642788 - 0.766044i) q^{3} +(-4.01544 + 1.46150i) q^{4} +(3.32981 + 1.21195i) q^{5} +(-1.60994 + 1.91865i) q^{6} +(-1.37672 - 0.794852i) q^{7} +(2.84668 + 4.93059i) q^{8} +(-0.173648 + 0.984808i) q^{9} +(1.54116 - 8.74033i) q^{10} +(-3.31472 - 0.112489i) q^{11} +(3.70065 + 2.13657i) q^{12} +(-4.02145 - 3.37440i) q^{13} +(-1.36179 + 3.74149i) q^{14} +(-1.21195 - 3.32981i) q^{15} +(4.37674 - 3.67252i) q^{16} +(-3.92698 + 0.692432i) q^{17} +2.50462 q^{18} +(-0.906427 + 4.26361i) q^{19} -15.1419 q^{20} +(0.276049 + 1.56555i) q^{21} +(1.16418 + 8.22491i) q^{22} +(-7.37713 + 2.68506i) q^{23} +(1.94724 - 5.35000i) q^{24} +(5.78859 + 4.85720i) q^{25} +(-6.57418 + 11.3868i) q^{26} +(0.866025 - 0.500000i) q^{27} +(6.68982 + 1.17960i) q^{28} +(1.02313 - 5.80247i) q^{29} +(-7.68611 + 4.43758i) q^{30} +(-6.35057 - 3.66650i) q^{31} +(-2.23936 - 1.87905i) q^{32} +(2.04449 + 2.61153i) q^{33} +(3.41587 + 9.38502i) q^{34} +(-3.62091 - 4.31523i) q^{35} +(-0.742023 - 4.20822i) q^{36} +2.01404i q^{37} +(10.9107 + 0.381423i) q^{38} +5.24964i q^{39} +(3.50326 + 19.8680i) q^{40} +(2.33617 - 1.96028i) q^{41} +(3.74149 - 1.36179i) q^{42} +(1.80004 - 4.94556i) q^{43} +(13.4744 - 4.39276i) q^{44} +(-1.77176 + 3.06877i) q^{45} +(9.83137 + 17.0284i) q^{46} +(1.81778 - 10.3091i) q^{47} +(-5.62663 - 0.992126i) q^{48} +(-2.23642 - 3.87359i) q^{49} +(9.46305 - 16.3905i) q^{50} +(3.05465 + 2.56315i) q^{51} +(21.0796 + 7.67234i) q^{52} +(-0.724349 - 1.99013i) q^{53} +(-1.60994 - 1.91865i) q^{54} +(-10.9010 - 4.39185i) q^{55} -9.05075i q^{56} +(3.84876 - 2.04623i) q^{57} -14.7572 q^{58} +(-4.99240 + 0.880295i) q^{59} +(9.73303 + 11.5994i) q^{60} +(2.12626 + 5.84186i) q^{61} +(-6.28168 + 17.2588i) q^{62} +(1.02184 - 1.21778i) q^{63} +(2.05257 - 3.55516i) q^{64} +(-9.30107 - 16.1099i) q^{65} +(5.55233 - 6.17869i) q^{66} +(13.1297 + 2.31512i) q^{67} +(14.7565 - 8.51969i) q^{68} +(6.79880 + 3.92529i) q^{69} +(-9.06901 + 10.8080i) q^{70} +(-3.19573 + 8.78020i) q^{71} +(-5.35000 + 1.94724i) q^{72} +(4.38962 + 5.23135i) q^{73} +(4.96777 - 0.875953i) q^{74} -7.55647i q^{75} +(-2.59157 - 18.4450i) q^{76} +(4.47404 + 2.78958i) q^{77} +(12.9486 - 2.28319i) q^{78} +(-1.11072 + 0.932009i) q^{79} +(19.0246 - 6.92440i) q^{80} +(-0.939693 - 0.342020i) q^{81} +(-5.85123 - 4.90977i) q^{82} +(-3.08796 - 1.78283i) q^{83} +(-3.39651 - 5.88293i) q^{84} +(-13.9153 - 2.45364i) q^{85} +(-12.9814 - 2.28898i) q^{86} +(-5.10261 + 2.94599i) q^{87} +(-8.88129 - 16.6637i) q^{88} +(1.46971 - 1.75153i) q^{89} +(8.33992 + 3.03548i) q^{90} +(2.85428 + 7.84208i) q^{91} +(25.6982 - 21.5633i) q^{92} +(1.27336 + 7.22160i) q^{93} -26.2188 q^{94} +(-8.18552 + 13.0985i) q^{95} +2.92328i q^{96} +(14.8666 - 2.62139i) q^{97} +(-8.58183 + 7.20101i) q^{98} +(0.686375 - 3.24483i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 6 q^{11} - 48 q^{14} + 24 q^{15} - 216 q^{20} + 24 q^{26} - 36 q^{31} - 6 q^{33} - 132 q^{34} + 180 q^{38} + 12 q^{42} - 24 q^{44} - 12 q^{45} + 72 q^{47} + 48 q^{48} + 132 q^{49} + 108 q^{53} - 30 q^{55}+ \cdots - 12 q^{99}+O(q^{100}) \) 240 * q + 6 * q^11 - 48 * q^14 + 24 * q^15 - 216 * q^20 + 24 * q^26 - 36 * q^31 - 6 * q^33 - 132 * q^34 + 180 * q^38 + 12 * q^42 - 24 * q^44 - 12 * q^45 + 72 * q^47 + 48 * q^48 + 132 * q^49 + 108 * q^53 - 30 * q^55 - 24 * q^58 + 48 * q^60 - 120 * q^64 - 48 * q^66 + 48 * q^67 - 228 * q^70 - 84 * q^71 - 72 * q^77 + 84 * q^78 - 24 * q^80 - 156 * q^82 + 48 * q^86 + 108 * q^88 + 144 * q^89 - 24 * q^91 - 60 * q^92 - 24 * q^93 - 12 * q^99

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