LMFDB - Embedded newform 189.2.ba.a.5.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [189,2,Mod(5,189)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(189, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([5, 15]))

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

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

chi := DirichletCharacter("189.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.ba (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:	$1.50917259820$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			5.7
Character	$\chi$	$=$	189.5
Dual form			189.2.ba.a.38.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.25823 + 0.221860i) q^{2} +(0.0538771 + 1.73121i) q^{3} +(-0.345469 + 0.125740i) q^{4} +(0.640361 - 3.63167i) q^{5} +(-0.451876 - 2.16631i) q^{6} +(-1.30830 - 2.29964i) q^{7} +(2.61972 - 1.51249i) q^{8} +(-2.99419 + 0.186545i) q^{9} +4.71154i q^{10} +(3.76726 - 0.664269i) q^{11} +(-0.236296 - 0.591305i) q^{12} +(0.636198 - 0.758192i) q^{13} +(2.15634 + 2.60322i) q^{14} +(6.32169 + 0.912938i) q^{15} +(-2.39738 + 2.01164i) q^{16} +0.183607 q^{17} +(3.72599 - 0.899007i) q^{18} +2.22080i q^{19} +(0.235422 + 1.33515i) q^{20} +(3.91068 - 2.38884i) q^{21} +(-4.59270 + 1.67161i) q^{22} +(4.55059 - 5.42318i) q^{23} +(2.75959 + 4.45380i) q^{24} +(-8.08049 - 2.94106i) q^{25} +(-0.632271 + 1.09512i) q^{26} +(-0.484268 - 5.17354i) q^{27} +(0.741133 + 0.629949i) q^{28} +(-4.05267 - 4.82979i) q^{29} +(-8.15668 + 0.253844i) q^{30} +(-2.37037 - 6.51253i) q^{31} +(-1.31870 + 1.57156i) q^{32} +(1.35296 + 6.48614i) q^{33} +(-0.231020 + 0.0407350i) q^{34} +(-9.18932 + 3.27870i) q^{35} +(1.01094 - 0.440936i) q^{36} +(3.97936 + 6.89245i) q^{37} +(-0.492706 - 2.79428i) q^{38} +(1.34687 + 1.06055i) q^{39} +(-3.81531 - 10.4825i) q^{40} +(-2.82696 - 2.37210i) q^{41} +(-4.39055 + 3.87333i) q^{42} +(6.59799 + 2.40147i) q^{43} +(-1.21794 + 0.703180i) q^{44} +(-1.23989 + 10.9934i) q^{45} +(-4.52250 + 7.83320i) q^{46} +(8.04594 + 2.92848i) q^{47} +(-3.61175 - 4.04200i) q^{48} +(-3.57671 + 6.01724i) q^{49} +(10.8196 + 1.90779i) q^{50} +(0.00989222 + 0.317863i) q^{51} +(-0.124451 + 0.341927i) q^{52} +(-7.25426 + 4.18825i) q^{53} +(1.75712 + 6.40205i) q^{54} -14.1068i q^{55} +(-6.90556 - 4.04562i) q^{56} +(-3.84468 + 0.119650i) q^{57} +(6.17073 + 5.17785i) q^{58} +(-5.30241 - 4.44925i) q^{59} +(-2.29874 + 0.479500i) q^{60} +(-0.169958 + 0.466955i) q^{61} +(4.42733 + 7.66836i) q^{62} +(4.34629 + 6.64152i) q^{63} +(4.44012 - 7.69051i) q^{64} +(-2.34610 - 2.79598i) q^{65} +(-3.14135 - 7.86087i) q^{66} +(-1.36604 + 7.74720i) q^{67} +(-0.0634305 + 0.0230868i) q^{68} +(9.63386 + 7.58586i) q^{69} +(10.8349 - 6.16410i) q^{70} +(3.59557 + 2.07590i) q^{71} +(-7.56179 + 5.01740i) q^{72} +(0.415503 + 0.239891i) q^{73} +(-6.53610 - 7.78942i) q^{74} +(4.65625 - 14.1475i) q^{75} +(-0.279244 - 0.767217i) q^{76} +(-6.45628 - 7.79429i) q^{77} +(-1.92996 - 1.03559i) q^{78} +(0.642778 + 3.64537i) q^{79} +(5.77043 + 9.99468i) q^{80} +(8.93040 - 1.11711i) q^{81} +(4.08323 + 2.35745i) q^{82} +(2.15821 - 1.81096i) q^{83} +(-1.05064 + 1.31700i) q^{84} +(0.117575 - 0.666800i) q^{85} +(-8.83457 - 1.55777i) q^{86} +(8.14305 - 7.27626i) q^{87} +(8.86445 - 7.43815i) q^{88} -8.53199 q^{89} +(-0.878916 - 14.1073i) q^{90} +(-2.57591 - 0.471088i) q^{91} +(-0.890174 + 2.44573i) q^{92} +(11.1469 - 4.45448i) q^{93} +(-10.7733 - 1.89963i) q^{94} +(8.06522 + 1.42212i) q^{95} +(-2.79176 - 2.19827i) q^{96} +(0.877451 - 2.41078i) q^{97} +(3.16534 - 8.36458i) q^{98} +(-11.1560 + 2.69172i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) $ 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.25823	+	0.221860i	−0.889702	+	0.156878i	−0.599773	−	0.800170i	$-0.704743\pi$
$2$	−1.25823	+	0.221860i	−0.889702	+	0.156878i	−0.289928	+	0.957048i	$0.593631\pi$
$3$	0.0538771	+	1.73121i	0.0311060	+	0.999516i
$3$	0.0538771	+	1.73121i	0.0311060	+	0.999516i
$4$	−0.345469	+	0.125740i	−0.172734	+	0.0628701i
$5$	0.640361	−	3.63167i	0.286378	−	1.62413i	−0.413942	−	0.910303i	$-0.635848\pi$
$5$	0.640361	−	3.63167i	0.286378	−	1.62413i	0.700320	−	0.713829i	$-0.253040\pi$
$6$	−0.451876	−	2.16631i	−0.184478	−	0.884391i
$7$	−1.30830	−	2.29964i	−0.494490	−	0.869183i
$7$	−1.30830	−	2.29964i	−0.494490	−	0.869183i
$8$	2.61972	−	1.51249i	0.926210	−	0.534747i
$9$	−2.99419	+	0.186545i	−0.998065	+	0.0621818i
$10$			4.71154i			1.48992i
$11$	3.76726	−	0.664269i	1.13587	−	0.200285i	0.426072	−	0.904689i	$-0.359897\pi$
$11$	3.76726	−	0.664269i	1.13587	−	0.200285i	0.709799	+	0.704404i	$0.248786\pi$
$12$	−0.236296	−	0.591305i	−0.0682128	−	0.170695i
$13$	0.636198	−	0.758192i	0.176450	−	0.210285i	−0.670570	−	0.741847i	$-0.733950\pi$
$13$	0.636198	−	0.758192i	0.176450	−	0.210285i	0.847019	+	0.531562i	$0.178395\pi$
$14$	2.15634	+	2.60322i	0.576305	+	0.695739i
$15$	6.32169	+	0.912938i	1.63225	+	0.235720i
$16$	−2.39738	+	2.01164i	−0.599346	+	0.502911i
$17$	0.183607			0.0445313			0.0222656	−	0.999752i	$-0.492912\pi$
$17$	0.183607			0.0445313			0.0222656	+	0.999752i	$0.492912\pi$
$18$	3.72599	−	0.899007i	0.878225	−	0.211898i
$19$			2.22080i			0.509487i	0.967009	+	0.254744i	$0.0819910\pi$
$19$			2.22080i			0.509487i	−0.967009	+	0.254744i	$0.918009\pi$
$20$	0.235422	+	1.33515i	0.0526420	+	0.298548i
$21$	3.91068	−	2.38884i	0.853381	−	0.521288i
$22$	−4.59270	+	1.67161i	−0.979166	+	0.356387i
$23$	4.55059	−	5.42318i	0.948864	−	1.13081i	−0.0424238	−	0.999100i	$-0.513508\pi$
$23$	4.55059	−	5.42318i	0.948864	−	1.13081i	0.991288	−	0.131713i	$-0.0420476\pi$
$24$	2.75959	+	4.45380i	0.563299	+	0.909128i
$25$	−8.08049	−	2.94106i	−1.61610	−	0.588212i
$26$	−0.632271	+	1.09512i	−0.123998	+	0.214772i
$27$	−0.484268	−	5.17354i	−0.0931975	−	0.995648i
$28$	0.741133	+	0.629949i	0.140061	+	0.119049i
$29$	−4.05267	−	4.82979i	−0.752563	−	0.896869i	0.244791	−	0.969576i	$-0.421281\pi$
$29$	−4.05267	−	4.82979i	−0.752563	−	0.896869i	−0.997353	+	0.0727065i	$0.976836\pi$
$30$	−8.15668	+	0.253844i	−1.48920	+	0.0463454i
$31$	−2.37037	−	6.51253i	−0.425730	−	1.16968i	−0.948380	−	0.317137i	$-0.897279\pi$
$31$	−2.37037	−	6.51253i	−0.425730	−	1.16968i	0.522650	−	0.852548i	$-0.324944\pi$
$32$	−1.31870	+	1.57156i	−0.233115	+	0.277816i
$33$	1.35296	+	6.48614i	0.235520	+	1.12909i
$34$	−0.231020	+	0.0407350i	−0.0396196	+	0.00698600i
$35$	−9.18932	+	3.27870i	−1.55328	+	0.554202i
$36$	1.01094	−	0.440936i	0.168491	−	0.0734894i
$37$	3.97936	+	6.89245i	0.654203	+	1.13311i	0.982093	+	0.188396i	$0.0603289\pi$
$37$	3.97936	+	6.89245i	0.654203	+	1.13311i	−0.327891	+	0.944716i	$0.606338\pi$
$38$	−0.492706	−	2.79428i	−0.0799275	−	0.453292i
$39$	1.34687	+	1.06055i	0.215671	+	0.169823i
$40$	−3.81531	−	10.4825i	−0.603254	−	1.65743i
$41$	−2.82696	−	2.37210i	−0.441496	−	0.370460i	0.394773	−	0.918779i	$-0.370823\pi$
$41$	−2.82696	−	2.37210i	−0.441496	−	0.370460i	−0.836269	+	0.548319i	$0.815268\pi$
$42$	−4.39055	+	3.87333i	−0.677476	+	0.597668i
$43$	6.59799	+	2.40147i	1.00618	+	0.366221i	0.791966	−	0.610565i	$-0.209058\pi$
$43$	6.59799	+	2.40147i	1.00618	+	0.366221i	0.214218	+	0.976786i	$0.431280\pi$
$44$	−1.21794	+	0.703180i	−0.183612	+	0.106008i
$45$	−1.23989	+	10.9934i	−0.184833	+	1.63880i
$46$	−4.52250	+	7.83320i	−0.666806	+	1.15494i
$47$	8.04594	+	2.92848i	1.17362	+	0.427163i	0.853945	−	0.520364i	$-0.174204\pi$
$47$	8.04594	+	2.92848i	1.17362	+	0.427163i	0.319676	+	0.947527i	$0.396426\pi$
$48$	−3.61175	−	4.04200i	−0.521311	−	0.583412i
$49$	−3.57671	+	6.01724i	−0.510959	+	0.859605i
$50$	10.8196	+	1.90779i	1.53012	+	0.269802i
$51$	0.00989222	+	0.317863i	0.00138519	+	0.0445097i
$52$	−0.124451	+	0.341927i	−0.0172583	+	0.0474168i
$53$	−7.25426	+	4.18825i	−0.996449	+	0.575300i	−0.907196	−	0.420709i	$-0.861781\pi$
$53$	−7.25426	+	4.18825i	−0.996449	+	0.575300i	−0.0892530	+	0.996009i	$0.528448\pi$
$54$	1.75712	+	6.40205i	0.239114	+	0.871209i
$55$		−	14.1068i		−	1.90216i
$56$	−6.90556	−	4.04562i	−0.922795	−	0.540619i
$57$	−3.84468	+	0.119650i	−0.509241	+	0.0158481i
$58$	6.17073	+	5.17785i	0.810256	+	0.679885i
$59$	−5.30241	−	4.44925i	−0.690316	−	0.579244i	0.228685	−	0.973501i	$-0.426558\pi$
$59$	−5.30241	−	4.44925i	−0.690316	−	0.579244i	−0.919000	+	0.394257i	$0.871002\pi$
$60$	−2.29874	+	0.479500i	−0.296766	+	0.0619032i
$61$	−0.169958	+	0.466955i	−0.0217609	+	0.0597875i	−0.950097	−	0.311953i	$-0.899017\pi$
$61$	−0.169958	+	0.466955i	−0.0217609	+	0.0597875i	0.928337	+	0.371741i	$0.121239\pi$
$62$	4.42733	+	7.66836i	0.562271	+	0.973882i
$63$	4.34629	+	6.64152i	0.547581	+	0.836753i
$64$	4.44012	−	7.69051i	0.555015	−	0.961313i
$65$	−2.34610	−	2.79598i	−0.290998	−	0.346798i
$66$	−3.14135	−	7.86087i	−0.386673	−	0.967607i
$67$	−1.36604	+	7.74720i	−0.166888	+	0.946472i	0.780207	+	0.625521i	$0.215113\pi$
$67$	−1.36604	+	7.74720i	−0.166888	+	0.946472i	−0.947096	+	0.320951i	$0.895998\pi$
$68$	−0.0634305	+	0.0230868i	−0.00769208	+	0.00279969i
$69$	9.63386	+	7.58586i	1.15978	+	0.913230i
$70$	10.8349	−	6.16410i	1.29501	−	0.736750i
$71$	3.59557	+	2.07590i	0.426715	+	0.246364i	0.697946	−	0.716150i	$-0.254097\pi$
$71$	3.59557	+	2.07590i	0.426715	+	0.246364i	−0.271231	+	0.962514i	$0.587431\pi$
$72$	−7.56179	+	5.01740i	−0.891166	+	0.591306i
$73$	0.415503	+	0.239891i	0.0486309	+	0.0280771i	0.524118	−	0.851645i	$-0.324395\pi$
$73$	0.415503	+	0.239891i	0.0486309	+	0.0280771i	−0.475487	+	0.879723i	$0.657728\pi$
$74$	−6.53610	−	7.78942i	−0.759806	−	0.905501i
$75$	4.65625	−	14.1475i	0.537657	−	1.63361i
$76$	−0.279244	−	0.767217i	−0.0320315	−	0.0880059i
$77$	−6.45628	−	7.79429i	−0.735761	−	0.888242i
$78$	−1.92996	−	1.03559i	−0.218525	−	0.117258i
$79$	0.642778	+	3.64537i	0.0723181	+	0.410136i	0.999379	+	0.0352265i	$0.0112153\pi$
$79$	0.642778	+	3.64537i	0.0723181	+	0.410136i	−0.927061	+	0.374910i	$0.877674\pi$
$80$	5.77043	+	9.99468i	0.645154	+	1.11744i
$81$	8.93040	−	1.11711i	0.992267	−	0.124123i
$82$	4.08323	+	2.35745i	0.450917	+	0.260337i
$83$	2.15821	−	1.81096i	0.236895	−	0.198778i	−0.516610	−	0.856221i	$-0.672806\pi$
$83$	2.15821	−	1.81096i	0.236895	−	0.198778i	0.753505	+	0.657443i	$0.228362\pi$
$84$	−1.05064	+	1.31700i	−0.114635	+	0.143696i
$85$	0.117575	−	0.666800i	0.0127528	−	0.0723247i
$86$	−8.83457	−	1.55777i	−0.952656	−	0.167979i
$87$	8.14305	−	7.27626i	0.873026	−	0.780097i
$88$	8.86445	−	7.43815i	0.944953	−	0.792910i
$89$	−8.53199			−0.904389			−0.452194	−	0.891919i	$-0.649359\pi$
$89$	−8.53199			−0.904389			−0.452194	+	0.891919i	$0.649359\pi$
$90$	−0.878916	−	14.1073i	−0.0926459	−	1.48704i
$91$	−2.57591	−	0.471088i	−0.270028	−	0.0493835i
$92$	−0.890174	+	2.44573i	−0.0928070	+	0.254985i
$93$	11.1469	−	4.45448i	1.15588	−	0.461908i
$94$	−10.7733	−	1.89963i	−1.11119	−	0.195932i
$95$	8.06522	+	1.42212i	0.827474	+	0.145906i
$96$	−2.79176	−	2.19827i	−0.284932	−	0.224360i
$97$	0.877451	−	2.41078i	0.0890916	−	0.244777i	−0.887143	−	0.461495i	$-0.847313\pi$
$97$	0.877451	−	2.41078i	0.0890916	−	0.244777i	0.976234	+	0.216718i	$0.0695353\pi$
$98$	3.16534	−	8.36458i	0.319748	−	0.844951i
$99$	−11.1560	+	2.69172i	−1.12122	+	0.270528i
$100$	3.16137			0.316137
$101$	0.273620	−	0.229594i	0.0272262	−	0.0228455i	−0.629073	−	0.777346i	$-0.716565\pi$
$101$	0.273620	−	0.229594i	0.0272262	−	0.0228455i	0.656299	+	0.754501i	$0.272121\pi$
$102$	−0.0829676	−	0.397750i	−0.00821502	−	0.0393831i
$103$	1.22832	+	0.216586i	0.121030	+	0.0213408i	0.233835	−	0.972276i	$-0.424872\pi$
$103$	1.22832	+	0.216586i	0.121030	+	0.0213408i	−0.112805	+	0.993617i	$0.535984\pi$
$104$	0.519899	−	2.94849i	0.0509803	−	0.289124i
$105$	−6.17123	−	15.7320i	−0.602250	−	1.53529i
$106$	8.19831	−	6.87920i	0.796290	−	0.668167i
$107$	16.3851	+	9.45993i	1.58401	+	0.914526i	0.994266	+	0.106932i	$0.0341026\pi$
$107$	16.3851	+	9.45993i	1.58401	+	0.914526i	0.589739	+	0.807594i	$0.299231\pi$
$108$	0.817821	+	1.72640i	0.0786949	+	0.166123i
$109$	5.24770	+	9.08929i	0.502639	+	0.870596i	0.999995	+	0.00304971i	$0.000970754\pi$
$109$	5.24770	+	9.08929i	0.502639	+	0.870596i	−0.497357	+	0.867546i	$0.665696\pi$
$110$	3.12973	+	17.7496i	0.298408	+	1.69236i
$111$	−11.7179	+	7.26046i	−1.11221	+	0.689132i
$112$	7.76255	+	2.88130i	0.733492	+	0.272257i
$113$	4.52851	+	12.4420i	0.426006	+	1.17044i	0.948216	+	0.317625i	$0.102885\pi$
$113$	4.52851	+	12.4420i	0.426006	+	1.17044i	−0.522210	+	0.852817i	$0.674892\pi$
$114$	4.81094	−	1.00353i	0.450586	−	0.0939889i
$115$	−16.7812	−	19.9990i	−1.56485	−	1.86492i
$116$	2.00737	+	1.15896i	0.186380	+	0.107606i
$117$	−1.76346	+	2.38885i	−0.163032	+	0.220850i
$118$	7.65876	+	4.42179i	0.705046	+	0.407058i
$119$	−0.240213	−	0.422231i	−0.0220203	−	0.0387058i
$120$	17.9419	−	7.16988i	1.63786	−	0.654518i
$121$	3.41437	−	1.24273i	0.310397	−	0.112975i
$122$	0.110247	−	0.625243i	0.00998132	−	0.0566069i
$123$	3.95430	−	5.02187i	0.356547	−	0.452806i
$124$	1.63777	+	1.95182i	0.147076	+	0.175279i
$125$	−6.63616	+	11.4942i	−0.593556	+	1.02807i
$126$	−6.94210	−	7.39228i	−0.618452	−	0.658557i
$127$	−1.18861	−	2.05874i	−0.105472	−	0.182683i	0.808459	−	0.588553i	$-0.200302\pi$
$127$	−1.18861	−	2.05874i	−0.105472	−	0.182683i	−0.913931	+	0.405869i	$0.866969\pi$
$128$	−2.47714	+	6.80588i	−0.218950	+	0.601561i
$129$	−3.80198	+	11.5519i	−0.334745	+	1.01709i
$130$	3.57225	+	2.99747i	0.313307	+	0.262896i
$131$	11.1667	+	9.37000i	0.975642	+	0.818661i	0.983426	−	0.181309i	$-0.0580334\pi$
$131$	11.1667	+	9.37000i	0.975642	+	0.818661i	−0.00778442	+	0.999970i	$0.502478\pi$
$132$	−1.28297	−	2.07064i	−0.111669	−	0.180226i
$133$	5.10705	−	2.90547i	0.442838	−	0.251936i
$134$		−	10.0508i		−	0.868259i
$135$	−19.0987	−	1.55423i	−1.64375	−	0.133767i
$136$	0.480999	−	0.277705i	0.0412453	−	0.0238130i
$137$	3.73213	−	10.2539i	0.318857	−	0.876053i	−0.671929	−	0.740616i	$-0.734534\pi$
$137$	3.73213	−	10.2539i	0.318857	−	0.876053i	0.990786	−	0.135437i	$-0.0432438\pi$
$138$	−13.8046	−	7.40738i	−1.17512	−	0.630558i
$139$	−14.2775	−	2.51750i	−1.21100	−	0.213532i	−0.468552	−	0.883436i	$-0.655224\pi$
$139$	−14.2775	−	2.51750i	−1.21100	−	0.213532i	−0.742448	+	0.669904i	$0.766335\pi$
$140$	2.76236	−	2.28816i	0.233462	−	0.193385i
$141$	−4.63633	+	14.0870i	−0.390450	+	1.18634i
$142$	−4.98460	−	1.81425i	−0.418299	−	0.152248i
$143$	1.89308	−	3.27891i	0.158307	−	0.274196i
$144$	6.80297	−	6.47047i	0.566914	−	0.539206i
$145$	−20.1354	+	11.6252i	−1.67215	+	0.965417i
$146$	−0.576019	−	0.209654i	−0.0476717	−	0.0173511i
$147$	−10.6098	−	5.86786i	−0.875083	−	0.483973i
$148$	−2.24140	−	1.88076i	−0.184242	−	0.154597i
$149$	1.54207	+	4.23681i	0.126332	+	0.347093i	0.986694	−	0.162590i	$-0.0519848\pi$
$149$	1.54207	+	4.23681i	0.126332	+	0.347093i	−0.860362	+	0.509683i	$0.829763\pi$
$150$	−2.71986	+	18.8338i	−0.222076	+	1.53778i
$151$	4.21562	+	23.9079i	0.343062	+	1.94560i	0.324845	+	0.945767i	$0.394688\pi$
$151$	4.21562	+	23.9079i	0.343062	+	1.94560i	0.0182169	+	0.999834i	$0.494201\pi$
$152$	3.35895	+	5.81787i	0.272447	+	0.471892i
$153$	−0.549756	+	0.0342511i	−0.0444451	+	0.00276903i
$154$	9.85271	+	8.37461i	0.793954	+	0.674845i
$155$	−25.1692	+	4.43801i	−2.02164	+	0.356470i
$156$	−0.598654	−	0.197030i	−0.0479307	−	0.0157750i
$157$	5.46527	−	6.51325i	0.436176	−	0.519814i	−0.502518	−	0.864567i	$-0.667593\pi$
$157$	5.46527	−	6.51325i	0.436176	−	0.519814i	0.938694	+	0.344753i	$0.112037\pi$
$158$	−1.61752	−	4.44410i	−0.128683	−	0.353554i
$159$	−7.64158	−	12.3330i	−0.606017	−	0.978071i
$160$	4.86295	+	5.79544i	0.384450	+	0.458170i
$161$	−18.4249	−	3.36960i	−1.45209	−	0.265561i
$162$	−10.9886	+	3.38687i	−0.863349	+	0.266098i
$163$	−1.18772	+	2.05720i	−0.0930297	+	0.161132i	−0.908785	−	0.417266i	$-0.862988\pi$
$163$	−1.18772	+	2.05720i	−0.0930297	+	0.161132i	0.815755	+	0.578398i	$0.196322\pi$
$164$	1.27489	+	0.464023i	0.0995524	+	0.0362341i
$165$	24.4219	−	0.760034i	1.90124	−	0.0591686i
$166$	−2.31375	+	2.75742i	−0.179582	+	0.214017i
$167$	−8.46232	+	3.08003i	−0.654834	+	0.238340i	−0.648004	−	0.761637i	$-0.724396\pi$
$167$	−8.46232	+	3.08003i	−0.654834	+	0.238340i	−0.00682972	+	0.999977i	$0.502174\pi$
$168$	6.63178	−	12.1730i	0.511653	−	0.939165i
$169$	2.08732	+	11.8378i	0.160563	+	0.910598i
$170$			0.865072i			0.0663480i
$171$	−0.414280	−	6.64952i	−0.0316808	−	0.508501i
$172$	−2.58136			−0.196827
$173$	9.39285	−	7.88153i	0.714125	−	0.599222i	−0.211628	−	0.977350i	$-0.567877\pi$
$173$	9.39285	−	7.88153i	0.714125	−	0.599222i	0.925753	+	0.378128i	$0.123432\pi$
$174$	−8.63150	+	10.9618i	−0.654353	+	0.831012i
$175$	3.80831	+	22.4300i	0.287881	+	1.69555i
$176$	−7.69529	+	9.17089i	−0.580054	+	0.691282i
$177$	7.41693	−	9.41932i	0.557490	−	0.707999i
$178$	10.7352	−	1.89290i	0.804636	−	0.141879i
$179$		−	22.3830i		−	1.67298i	−0.547982	−	0.836490i	$-0.684604\pi$
$179$		−	22.3830i		−	1.67298i	0.547982	−	0.836490i	$-0.315396\pi$
$180$	−0.953966	−	3.95377i	−0.0711044	−	0.294697i
$181$	15.8784	−	9.16743i	1.18024	−	0.681409i	0.224167	−	0.974551i	$-0.428034\pi$
$181$	15.8784	−	9.16743i	1.18024	−	0.681409i	0.956069	+	0.293141i	$0.0947007\pi$
$182$	3.34559	+	0.0212471i	0.247992	+	0.00157494i
$183$	−0.817556	−	0.269075i	−0.0604355	−	0.0198906i
$184$	3.71873	−	21.0900i	0.274148	−	1.55477i
$185$	27.5793	−	10.0381i	2.02767	−	0.738012i
$186$	−13.0370	+	8.07779i	−0.955921	+	0.592293i
$187$	0.691696	−	0.121965i	0.0505818	−	0.00891894i
$188$	−3.14785			−0.229580
$189$	−11.2637	+	7.88217i	−0.819315	+	0.573344i
$190$	−10.4634			−0.759095
$191$	−3.05044	+	0.537874i	−0.220722	+	0.0389192i	−0.282915	−	0.959145i	$-0.591302\pi$
$191$	−3.05044	+	0.537874i	−0.220722	+	0.0389192i	0.0621935	+	0.998064i	$0.480190\pi$
$192$	13.5531	+	7.27244i	0.978113	+	0.524843i
$193$	0.886864	−	0.322792i	0.0638378	−	0.0232351i	−0.309904	−	0.950768i	$-0.600297\pi$
$193$	0.886864	−	0.322792i	0.0638378	−	0.0232351i	0.373742	+	0.927533i	$0.378075\pi$
$194$	−0.569180	+	3.22798i	−0.0408647	+	0.231755i
$195$	4.71403	−	4.21224i	0.337579	−	0.301645i
$196$	0.479033	−	2.52850i	0.0342167	−	0.180607i
$197$	3.04712	−	1.75926i	0.217099	−	0.125342i	−0.387507	−	0.921867i	$-0.626664\pi$
$197$	3.04712	−	1.75926i	0.217099	−	0.125342i	0.604606	+	0.796525i	$0.293331\pi$
$198$	13.4396	−	5.86186i	0.955111	−	0.416584i
$199$		−	11.6002i		−	0.822317i	−0.911564	−	0.411158i	$-0.865124\pi$
$199$		−	11.6002i		−	0.822317i	0.911564	−	0.411158i	$-0.134876\pi$
$200$	−25.6169	+	4.51696i	−1.81139	+	0.319397i
$201$	−13.4857	−	1.94751i	−0.951205	−	0.137367i
$202$	−0.293338	+	0.349587i	−0.0206392	+	0.0245969i
$203$	−5.80469	+	15.6385i	−0.407409	+	1.09761i
$204$	−0.0433856	−	0.108568i	−0.00303760	−	0.00760127i
$205$	−10.4249	+	8.74757i	−0.728110	+	0.610957i
$206$	−1.59356			−0.111028
$207$	−12.6137	+	17.0870i	−0.876712	+	1.18763i
$208$			3.09748i			0.214772i
$209$	1.47521	+	8.36634i	0.102042	+	0.578712i
$210$	11.2551	+	18.4253i	0.776676	+	1.27147i
$211$	−7.98591	+	2.90664i	−0.549773	+	0.200101i	−0.601946	−	0.798537i	$-0.705608\pi$
$211$	−7.98591	+	2.90664i	−0.549773	+	0.200101i	0.0521726	+	0.998638i	$0.483385\pi$
$212$	1.97949	−	2.35906i	0.135952	−	0.162021i
$213$	−3.40011	+	6.33654i	−0.232972	+	0.434172i
$214$	−22.7149	−	8.26756i	−1.55276	−	0.565159i
$215$	12.9464	−	22.4239i	0.882940	−	1.52930i
$216$	−9.09359	−	12.8207i	−0.618740	−	0.872341i
$217$	−11.8753	+	13.9713i	−0.806151	+	0.948435i
$218$	−8.61935	−	10.2721i	−0.583776	−	0.695718i
$219$	−0.392916	+	0.732248i	−0.0265508	+	0.0494807i
$220$	1.77379	+	4.87346i	0.119589	+	0.328569i
$221$	0.116811	−	0.139209i	0.00785753	−	0.00936424i
$222$	13.1330	−	11.7350i	0.881429	−	0.787605i
$223$	28.5849	−	5.04028i	1.91418	−	0.337522i	0.916185	−	0.400755i	$-0.131252\pi$
$223$	28.5849	−	5.04028i	1.91418	−	0.337522i	0.997999	+	0.0632329i	$0.0201411\pi$
$224$	5.33928	+	0.976461i	0.356746	+	0.0652425i
$225$	24.7432	+	7.29873i	1.64955	+	0.486582i
$226$	−8.45827	−	14.6501i	−0.562636	−	0.974513i
$227$	0.754518	+	4.27909i	0.0500791	+	0.284013i	0.999555	−	0.0298269i	$-0.00949562\pi$
$227$	0.754518	+	4.27909i	0.0500791	+	0.284013i	−0.949476	+	0.313840i	$0.898385\pi$
$228$	1.31317	−	0.524767i	0.0869669	−	0.0347535i
$229$	−4.37893	−	12.0310i	−0.289368	−	0.795031i	−0.996155	−	0.0876051i	$-0.972079\pi$
$229$	−4.37893	−	12.0310i	−0.289368	−	0.795031i	0.706788	−	0.707426i	$-0.250144\pi$
$230$	25.5515	+	21.4403i	1.68482	+	1.41373i
$231$	13.1457	−	11.5971i	0.864925	−	0.763035i
$232$	−17.9219	−	6.52303i	−1.17663	−	0.428258i
$233$	−1.11841	+	0.645712i	−0.0732692	+	0.0423020i	−0.536187	−	0.844099i	$-0.680136\pi$
$233$	−1.11841	+	0.645712i	−0.0732692	+	0.0423020i	0.462918	+	0.886401i	$0.346802\pi$
$234$	1.68885	−	3.39696i	0.110404	−	0.222066i
$235$	15.7876	−	27.3449i	1.02987	−	1.78378i
$236$	2.39127	+	0.870350i	0.155658	+	0.0566550i
$237$	−6.27628	+	1.30919i	−0.407688	+	0.0850408i
$238$	0.395919	+	0.477969i	0.0256636	+	0.0309821i
$239$	13.0366	+	2.29870i	0.843265	+	0.148690i	0.578561	−	0.815639i	$-0.303615\pi$
$239$	13.0366	+	2.29870i	0.843265	+	0.148690i	0.264704	+	0.964330i	$0.414726\pi$
$240$	−16.9920	+	10.5283i	−1.09683	+	0.679601i
$241$	−8.34515	+	22.9281i	−0.537558	+	1.47693i	0.312334	+	0.949972i	$0.398889\pi$
$241$	−8.34515	+	22.9281i	−0.537558	+	1.47693i	−0.849892	+	0.526957i	$0.823333\pi$
$242$	−4.02034	+	2.32115i	−0.258437	+	0.149209i
$243$	2.41509	+	15.4002i	0.154928	+	0.987926i
$244$		−	0.182689i		−	0.0116955i
$245$	19.5622	+	16.8426i	1.24978	+	1.07604i
$246$	−3.86126	+	7.19595i	−0.246185	+	0.458797i
$247$	1.68379	+	1.41287i	0.107137	+	0.0898988i
$248$	−16.0598	−	13.4758i	−1.01980	−	0.855715i
$249$	3.25143	+	3.63876i	0.206051	+	0.230597i
$250$	5.79971	−	15.9346i	0.366806	−	1.00779i
$251$	−8.82976	−	15.2936i	−0.557330	−	0.965323i	−0.997718	−	0.0675161i	$-0.978493\pi$
$251$	−8.82976	−	15.2936i	−0.557330	−	0.965323i	0.440388	−	0.897807i	$-0.354841\pi$
$252$	−2.33661	−	1.74793i	−0.147193	−	0.110109i
$253$	13.5408	−	23.4534i	0.851303	−	1.47450i
$254$	1.95230	+	2.32666i	0.122498	+	0.145987i
$255$	1.16071	+	0.167622i	0.0726864	+	0.0104969i
$256$	−1.47722	+	8.37771i	−0.0923260	+	0.523607i
$257$	−8.93192	+	3.25095i	−0.557158	+	0.202789i	−0.605224	−	0.796055i	$-0.706916\pi$
$257$	−8.93192	+	3.25095i	−0.557158	+	0.202789i	0.0480660	+	0.998844i	$0.484694\pi$
$258$	2.22085	−	15.3784i	0.138264	−	0.957420i
$259$	10.6440	−	18.1685i	0.661385	−	1.12893i
$260$	1.16207	+	0.670923i	0.0720687	+	0.0416089i
$261$	13.0355	+	13.7053i	0.806875	+	0.848338i
$262$	−16.1291	−	9.31215i	−0.996460	−	0.575307i
$263$	−9.05676	−	10.7934i	−0.558464	−	0.665551i	0.410757	−	0.911745i	$-0.365265\pi$
$263$	−9.05676	−	10.7934i	−0.558464	−	0.665551i	−0.969221	+	0.246194i	$0.920820\pi$
$264$	13.3546	+	14.9455i	0.821920	+	0.919832i
$265$	10.5650	+	29.0270i	0.649002	+	1.78312i
$266$	−5.78123	+	4.78879i	−0.354470	+	0.293620i
$267$	−0.459679	−	14.7707i	−0.0281319	−	0.903951i
$268$	−0.502211	−	2.84818i	−0.0306774	−	0.173980i
$269$	−4.12864	−	7.15102i	−0.251728	−	0.436005i	0.712274	−	0.701902i	$-0.247665\pi$
$269$	−4.12864	−	7.15102i	−0.251728	−	0.436005i	−0.964002	+	0.265896i	$0.914332\pi$
$270$	24.3753	−	2.28165i	1.48343	−	0.138857i
$271$	−0.814011	−	0.469969i	−0.0494476	−	0.0285486i	0.475072	−	0.879947i	$-0.342422\pi$
$271$	−0.814011	−	0.469969i	−0.0494476	−	0.0285486i	−0.524520	+	0.851398i	$0.675755\pi$
$272$	−0.440177	+	0.369352i	−0.0266896	+	0.0223953i
$273$	0.676772	−	4.48482i	0.0409601	−	0.271434i
$274$	−2.42093	+	13.7298i	−0.146254	+	0.829447i
$275$	−32.3950	−	5.71211i	−1.95349	−	0.344453i
$276$	−4.28204	−	1.40931i	−0.257749	−	0.0848306i
$277$	−17.8308	+	14.9618i	−1.07135	+	0.898967i	−0.995174	−	0.0981280i	$-0.968715\pi$
$277$	−17.8308	+	14.9618i	−1.07135	+	0.898967i	−0.0761729	+	0.997095i	$0.524270\pi$
$278$	18.5229			1.11093
$279$	8.31222	+	19.0576i	0.497639	+	1.14095i
$280$	−19.1144	+	22.4881i	−1.14230	+	1.34392i
$281$	2.97166	−	8.16457i	0.177274	−	0.487057i	−0.818951	−	0.573864i	$-0.805444\pi$
$281$	2.97166	−	8.16457i	0.177274	−	0.487057i	0.996225	+	0.0868064i	$0.0276661\pi$
$282$	2.70823	−	18.7533i	0.161273	−	1.11674i
$283$	18.5649	+	3.27349i	1.10357	+	0.194589i	0.695616	−	0.718414i	$-0.255131\pi$
$283$	18.5649	+	3.27349i	1.10357	+	0.194589i	0.407953	+	0.913003i	$0.366243\pi$
$284$	−1.50318	−	0.265051i	−0.0891973	−	0.0157279i
$285$	−2.02745	+	14.0392i	−0.120096	+	0.831612i
$286$	−1.65447	+	4.54562i	−0.0978308	+	0.268788i
$287$	−1.75648	+	9.60440i	−0.103682	+	0.566930i
$288$	3.65527	−	4.95156i	0.215389	−	0.291773i
$289$	−16.9663			−0.998017
$290$	22.7557	−	19.0943i	1.33626	−	1.12126i
$291$	4.22084	+	1.38917i	0.247430	+	0.0814345i
$292$	−0.173707	−	0.0306292i	−0.0101654	−	0.00179244i
$293$	−0.203056	+	1.15159i	−0.0118627	+	0.0672765i	−0.990164	−	0.139909i	$-0.955319\pi$
$293$	−0.203056	+	1.15159i	−0.0118627	+	0.0672765i	0.978302	+	0.207185i	$0.0664302\pi$
$294$	14.6514	+	5.02922i	0.854488	+	0.293310i
$295$	−19.5537	+	16.4075i	−1.13846	+	0.955281i
$296$	20.8496	+	12.0375i	1.21186	+	0.699666i
$297$	−5.26099	−	19.1684i	−0.305273	−	1.11226i
$298$	−2.88026	−	4.98875i	−0.166849	−	0.288991i
$299$	−1.21673	−	6.90044i	−0.0703656	−	0.399063i
$300$	0.170325	+	5.47300i	0.00983373	+	0.315984i
$301$	−3.10961	−	18.3149i	−0.179235	−	1.05565i
$302$	−10.6084	−	29.1464i	−0.610446	−	1.67719i
$303$	0.412218	+	0.461324i	0.0236813	+	0.0265024i
$304$	−4.46746	−	5.32411i	−0.256227	−	0.305359i
$305$	1.58699	+	0.916251i	0.0908710	+	0.0524644i
$306$	0.684119	−	0.165064i	0.0391085	−	0.00943609i
$307$	−8.74477	−	5.04880i	−0.499091	−	0.288150i	0.229247	−	0.973368i	$-0.426374\pi$
$307$	−8.74477	−	5.04880i	−0.499091	−	0.288150i	−0.728338	+	0.685218i	$0.759707\pi$
$308$	3.21050	+	1.88087i	0.182935	+	0.107172i
$309$	−0.308778	+	2.13815i	−0.0175657	+	0.121635i
$310$	30.6840	−	11.1681i	1.74274	−	0.634304i
$311$	−2.09852	+	11.9013i	−0.118996	+	0.674861i	0.865697	+	0.500568i	$0.166875\pi$
$311$	−2.09852	+	11.9013i	−0.118996	+	0.674861i	−0.984694	+	0.174294i	$0.944236\pi$
$312$	5.13248	+	0.741199i	0.290569	+	0.0419621i
$313$	−5.53420	−	6.59540i	−0.312812	−	0.372794i	0.586615	−	0.809866i	$-0.300460\pi$
$313$	−5.53420	−	6.59540i	−0.312812	−	0.372794i	−0.899427	+	0.437071i	$0.856016\pi$
$314$	−5.43153	+	9.40768i	−0.306519	+	0.530906i
$315$	26.9030	−	11.5313i	1.51581	−	0.649715i
$316$	−0.680430	−	1.17854i	−0.0382772	−	0.0662980i
$317$	6.31261	−	17.3438i	0.354552	−	0.974123i	−0.626337	−	0.779553i	$-0.715447\pi$
$317$	6.31261	−	17.3438i	0.354552	−	0.974123i	0.980889	−	0.194570i	$-0.0623312\pi$
$318$	12.3511	+	13.8224i	0.692613	+	0.775121i
$319$	−18.4758	−	15.5030i	−1.03444	−	0.868001i
$320$	−25.0861	−	21.0497i	−1.40236	−	1.17672i
$321$	−15.4944	+	28.8757i	−0.864811	+	1.61169i
$322$	23.9303	+	0.151976i	1.33359	+	0.00846929i
$323$			0.407755i			0.0226881i
$324$	−2.94471	+	1.50884i	−0.163595	+	0.0838242i
$325$	−7.37068	+	4.25547i	−0.408852	+	0.236051i
$326$	1.03802	−	2.85193i	0.0574905	−	0.157954i
$327$	−15.4528	+	9.57459i	−0.854540	+	0.529476i
$328$	−10.9936	−	1.93847i	−0.607021	−	0.107034i
$329$	−3.79202	−	22.3341i	−0.209061	−	1.23132i
$330$	−30.5597	+	6.37453i	−1.68226	+	0.350906i
$331$	28.8835	+	10.5127i	1.58758	+	0.577833i	0.976835	−	0.213992i	$-0.0686468\pi$
$331$	28.8835	+	10.5127i	1.58758	+	0.577833i	0.610748	+	0.791825i	$0.290869\pi$
$332$	−0.517885	+	0.897003i	−0.0284226	+	0.0492294i
$333$	−13.2007	−	19.8950i	−0.723395	−	1.09024i
$334$	9.96420	−	5.75283i	0.545217	−	0.314781i
$335$	27.2605	+	9.92202i	1.48940	+	0.542098i
$336$	−4.56991	+	13.5939i	−0.249309	+	0.741606i
$337$	−8.61178	−	7.22614i	−0.469113	−	0.393633i	0.377358	−	0.926068i	$-0.376833\pi$
$337$	−8.61178	−	7.22614i	−0.469113	−	0.393633i	−0.846471	+	0.532435i	$0.821277\pi$
$338$	−5.25265	−	14.4315i	−0.285707	−	0.784972i
$339$	−21.2957	+	8.51015i	−1.15662	+	0.462208i
$340$	0.0432252	+	0.245142i	0.00234422	+	0.0132947i
$341$	−13.2559	−	22.9598i	−0.717845	−	1.24334i
$342$	1.99652	+	8.27470i	0.107959	+	0.447444i
$343$	18.5169	+	0.352828i	0.999819	+	0.0190509i
$344$	20.9171	−	3.68824i	1.12777	−	0.198857i
$345$	33.7185	−	30.1293i	1.81534	−	1.62211i
$346$	−10.0698	+	12.0007i	−0.541353	+	0.645160i
$347$	−2.53330	−	6.96017i	−0.135994	−	0.373642i	0.852937	−	0.522014i	$-0.174819\pi$
$347$	−2.53330	−	6.96017i	−0.135994	−	0.373642i	−0.988932	+	0.148372i	$0.952597\pi$
$348$	−1.89825	+	3.53763i	−0.101757	+	0.189637i
$349$	−13.2687	−	15.8130i	−0.710257	−	0.846451i	0.283389	−	0.959005i	$-0.408541\pi$
$349$	−13.2687	−	15.8130i	−0.710257	−	0.846451i	−0.993646	+	0.112554i	$0.964097\pi$
$350$	−9.76804	−	27.3772i	−0.522124	−	1.46337i
$351$	−4.23062	−	2.92423i	−0.225814	−	0.156084i
$352$	−3.92393	+	6.79645i	−0.209146	+	0.362252i
$353$	1.59417	+	0.580229i	0.0848489	+	0.0308825i	0.384096	−	0.923293i	$-0.374513\pi$
$353$	1.59417	+	0.580229i	0.0848489	+	0.0308825i	−0.299247	+	0.954176i	$0.596735\pi$
$354$	−7.24242	+	13.4972i	−0.384930	+	0.717367i
$355$	9.84145	−	11.7286i	0.522330	−	0.622489i
$356$	2.94753	−	1.07281i	0.156219	−	0.0568591i
$357$	0.718029	−	0.438608i	0.0380021	−	0.0232136i
$358$	4.96587	+	28.1629i	0.262455	+	1.48845i
$359$		−	0.676202i		−	0.0356886i	−0.999841	−	0.0178443i	$-0.994320\pi$
$359$		−	0.676202i		−	0.0356886i	0.999841	−	0.0178443i	$-0.00568032\pi$
$360$	13.3792	+	30.6749i	0.705148	+	1.61671i
$361$	14.0680			0.740423
$362$	−17.9448	+	15.0575i	−0.943159	+	0.791405i
$363$	2.33538	+	5.84404i	0.122576	+	0.306733i
$364$	0.949130	−	0.161149i	0.0497479	−	0.00844650i
$365$	1.13727	−	1.35535i	0.0595277	−	0.0709423i
$366$	1.08837	+	0.157175i	0.0568900	+	0.00821568i
$367$	3.81779	−	0.673180i	0.199287	−	0.0351397i	−0.0731134	−	0.997324i	$-0.523294\pi$
$367$	3.81779	−	0.673180i	0.199287	−	0.0351397i	0.272401	+	0.962184i	$0.412182\pi$
$368$			22.1556i			1.15494i
$369$	8.90696	+	6.57517i	0.463678	+	0.342290i
$370$	−32.4741	+	18.7489i	−1.68825	+	0.974709i
$371$	19.1222	+	11.2027i	0.992775	+	0.581616i
$372$	−3.29078	+	2.94049i	−0.170619	+	0.152457i
$373$	−0.0555429	+	0.314999i	−0.00287590	+	0.0163100i	−0.986212	−	0.165487i	$-0.947080\pi$
$373$	−0.0555429	+	0.314999i	−0.00287590	+	0.0163100i	0.983336	+	0.181797i	$0.0581915\pi$
$374$	−0.843252	+	0.306919i	−0.0436035	+	0.0158704i
$375$	−20.2564	−	10.8693i	−1.04603	−	0.561290i
$376$	25.5074	−	4.49764i	1.31544	−	0.231948i
$377$	−6.24021			−0.321387
$378$	12.4236	−	12.4165i	0.639001	−	0.638638i
$379$	11.9350			0.613058			0.306529	−	0.951861i	$-0.400832\pi$
$379$	11.9350			0.613058			0.306529	+	0.951861i	$0.400832\pi$
$380$	−2.96510	+	0.522827i	−0.152106	+	0.0268204i
$381$	3.50007	−	2.16866i	0.179314	−	0.111104i
$382$	3.71881	−	1.35354i	0.190271	−	0.0692530i
$383$	−5.05399	+	28.6626i	−0.258247	+	1.46459i	0.529352	+	0.848402i	$0.322435\pi$
$383$	−5.05399	+	28.6626i	−0.258247	+	1.46459i	−0.787599	+	0.616188i	$0.788676\pi$
$384$	−11.9159	−	3.92177i	−0.608080	−	0.200132i
$385$	−32.4406	+	18.4559i	−1.65333	+	0.940600i
$386$	−1.04426	+	0.602905i	−0.0531516	+	0.0306871i
$387$	−20.2036	−	5.95965i	−1.02701	−	0.302946i
$388$			0.943178i			0.0478826i
$389$	15.9388	−	2.81044i	0.808129	−	0.142495i	0.245706	−	0.969344i	$-0.420980\pi$
$389$	15.9388	−	2.81044i	0.808129	−	0.142495i	0.562423	+	0.826849i	$0.309869\pi$
$390$	−4.99680	+	6.34582i	−0.253023	+	0.321333i
$391$	0.835521	−	0.995736i	0.0422541	−	0.0503565i
$392$	−0.268943	+	21.1732i	−0.0135837	+	1.06941i
$393$	−15.6198	+	19.8368i	−0.787916	+	1.00063i
$394$	−3.44367	+	2.88958i	−0.173490	+	0.145575i
$395$	13.6504			0.686826
$396$	3.51559	−	2.33266i	0.176665	−	0.117221i
$397$		−	5.42503i		−	0.272274i	−0.990690	−	0.136137i	$-0.956531\pi$
$397$		−	5.42503i		−	0.272274i	0.990690	−	0.136137i	$-0.0434688\pi$
$398$	2.57362	+	14.5957i	0.129004	+	0.731617i
$399$	5.30514	+	8.68486i	0.265589	+	0.434787i
$400$	25.2884	−	9.20422i	1.26442	−	0.460211i
$401$	−9.84116	+	11.7282i	−0.491444	+	0.585680i	−0.953584	−	0.301127i	$-0.902637\pi$
$401$	−9.84116	+	11.7282i	−0.491444	+	0.585680i	0.462140	+	0.886807i	$0.347082\pi$
$402$	17.4001	−	0.541509i	0.867838	−	0.0270080i
$403$	−6.44577	−	2.34607i	−0.321086	−	0.116866i
$404$	−0.0656578	+	0.113723i	−0.00326660	+	0.00565791i
$405$	1.66172	−	33.1476i	0.0825717	−	1.64712i
$406$	3.83407	−	20.9646i	0.190282	−	1.04046i
$407$	19.5697	+	23.3223i	0.970035	+	1.15604i
$408$	0.506681	+	0.817749i	0.0250844	+	0.0404846i
$409$	9.94048	+	27.3112i	0.491525	+	1.35045i	0.899284	+	0.437365i	$0.144088\pi$
$409$	9.94048	+	27.3112i	0.491525	+	1.35045i	−0.407759	+	0.913090i	$0.633690\pi$
$410$	11.1762	−	13.3193i	0.551955	−	0.657794i
$411$	17.9528	+	5.90865i	0.885547	+	0.291452i
$412$	−0.451579	+	0.0796255i	−0.0222477	+	0.00392287i
$413$	−3.29456	+	18.0146i	−0.162115	+	0.886441i
$414$	12.0800	−	24.2978i	0.593699	−	1.19417i
$415$	−5.19476	−	8.99758i	−0.255001	−	0.441674i
$416$	0.352592	+	1.99965i	0.0172873	+	0.0980409i
$417$	3.58911	−	24.8530i	0.175759	−	1.21706i
$418$	−3.71231	−	10.1995i	−0.181575	−	0.498873i
$419$	3.38803	+	2.84290i	0.165516	+	0.138885i	0.721784	−	0.692119i	$-0.243323\pi$
$419$	3.38803	+	2.84290i	0.165516	+	0.138885i	−0.556267	+	0.831003i	$0.687767\pi$
$420$	4.11011	+	4.65895i	0.200553	+	0.227333i
$421$	−31.0132	−	11.2879i	−1.51149	−	0.550138i	−0.552486	−	0.833522i	$-0.686321\pi$
$421$	−31.0132	−	11.2879i	−1.51149	−	0.550138i	−0.959006	+	0.283384i	$0.908543\pi$
$422$	9.40324	−	5.42896i	0.457742	−	0.264278i
$423$	−24.6374	−	7.26751i	−1.19791	−	0.353359i
$424$	−12.6694	+	21.9440i	−0.615280	+	1.06570i
$425$	−1.48364	−	0.540000i	−0.0719669	−	0.0261938i
$426$	2.87229	−	8.72715i	0.139163	−	0.422832i
$427$	1.29619	−	0.220074i	0.0627269	−	0.0106501i
$428$	−6.85002	−	1.20784i	−0.331108	−	0.0583833i
$429$	5.77849	+	3.10067i	0.278988	+	0.149702i
$430$	−11.3146	+	31.0867i	−0.545640	+	1.49913i
$431$	−13.0246	+	7.51978i	−0.627375	+	0.362215i	−0.779735	−	0.626110i	$-0.784646\pi$
$431$	−13.0246	+	7.51978i	−0.627375	+	0.362215i	0.152360	+	0.988325i	$0.451313\pi$
$432$	11.5683	+	11.4288i	0.556579	+	0.549867i
$433$			2.20776i			0.106098i	0.998592	+	0.0530491i	$0.0168940\pi$
$433$			2.20776i			0.106098i	−0.998592	+	0.0530491i	$0.983106\pi$
$434$	11.8422	−	20.2138i	0.568445	−	0.970292i
$435$	−21.2105	−	34.2323i	−1.01696	−	1.64131i
$436$	−2.95581	−	2.48022i	−0.141557	−	0.118781i
$437$	12.0438	+	10.1060i	0.576134	+	0.483434i
$438$	0.331921	−	1.00851i	0.0158598	−	0.0481883i
$439$	−10.1389	+	27.8564i	−0.483903	+	1.32951i	0.422219	+	0.906494i	$0.361251\pi$
$439$	−10.1389	+	27.8564i	−0.483903	+	1.32951i	−0.906121	+	0.423018i	$0.860971\pi$
$440$	−21.3365	−	36.9558i	−1.01718	−	1.76180i
$441$	9.58689	−	18.6840i	0.456519	−	0.889714i
$442$	−0.116089	+	0.201073i	−0.00552181	+	0.00956406i
$443$	−5.01045	−	5.97122i	−0.238054	−	0.283701i	0.633770	−	0.773522i	$-0.281507\pi$
$443$	−5.01045	−	5.97122i	−0.238054	−	0.283701i	−0.871823	+	0.489821i	$0.837062\pi$
$444$	3.13523	−	3.98167i	0.148792	−	0.188962i
$445$	−5.46355	+	30.9854i	−0.258997	+	1.46885i
$446$	−34.8480	+	12.6837i	−1.65010	+	0.600588i
$447$	−7.25174	+	2.89792i	−0.342995	+	0.137067i
$448$	−23.4944	−	0.149208i	−1.11001	−	0.00704940i
$449$	11.8087	+	6.81774i	0.557286	+	0.321749i	0.752055	−	0.659100i	$-0.229063\pi$
$449$	11.8087	+	6.81774i	0.557286	+	0.321749i	−0.194769	+	0.980849i	$0.562396\pi$
$450$	−32.7519	−	3.69394i	−1.54394	−	0.174134i
$451$	−12.2256	−	7.05845i	−0.575681	−	0.332369i
$452$	−3.12891	−	3.72889i	−0.147172	−	0.175392i
$453$	−41.1626	+	8.58622i	−1.93399	+	0.403416i
$454$	−1.89871	−	5.21667i	−0.0891110	−	0.244830i
$455$	−3.36035	+	9.05317i	−0.157536	+	0.424419i
$456$	−9.89100	+	6.12851i	−0.463189	+	0.286994i
$457$	0.0491623	+	0.278813i	0.00229971	+	0.0130423i	0.985936	−	0.167123i	$-0.0534478\pi$
$457$	0.0491623	+	0.278813i	0.00229971	+	0.0130423i	−0.983636	+	0.180166i	$0.942337\pi$
$458$	8.17888	+	14.1662i	0.382174	+	0.661945i
$459$	−0.0889151	−	0.949898i	−0.00415020	−	0.0443375i
$460$	8.31206	+	4.79897i	0.387552	+	0.223753i
$461$	−23.3591	+	19.6006i	−1.08794	+	0.912893i	−0.996556	−	0.0829225i	$-0.973575\pi$
$461$	−23.3591	+	19.6006i	−1.08794	+	0.912893i	−0.0913875	+	0.995815i	$0.529130\pi$
$462$	−13.9674	+	17.5083i	−0.649822	+	0.814562i
$463$	3.18139	−	18.0425i	0.147852	−	0.838508i	−0.817182	−	0.576380i	$-0.804465\pi$
$463$	3.18139	−	18.0425i	0.147852	−	0.838508i	0.965033	−	0.262128i	$-0.0844242\pi$
$464$	19.4316	+	3.42632i	0.902091	+	0.159063i
$465$	−9.03919	−	43.3342i	−0.419182	−	2.00957i
$466$	1.26395	−	1.06058i	0.0585514	−	0.0491305i
$467$	32.2918			1.49429			0.747143	−	0.664663i	$-0.231425\pi$
$467$	32.2918			1.49429			0.747143	+	0.664663i	$0.231425\pi$
$468$	0.308846	−	1.04701i	0.0142764	−	0.0483982i
$469$	19.6030	−	6.99424i	0.905182	−	0.322964i
$470$	−13.7977	+	37.9088i	−0.636439	+	1.74860i
$471$	11.5703	+	9.11063i	0.533130	+	0.419796i
$472$	−20.6203	−	3.63591i	−0.949126	−	0.167357i
$473$	26.4516	+	4.66412i	1.21624	+	0.214457i
$474$	7.60654	−	3.03971i	0.349380	−	0.139618i
$475$	6.53151	−	17.9452i	0.299686	−	0.823381i
$476$	0.136077	+	0.115663i	0.00623710	+	0.00530141i
$477$	20.9394	−	13.8937i	0.958747	−	0.636148i
$478$	−16.9130			−0.773580
$479$	−23.0994	+	19.3827i	−1.05544	+	0.885619i	−0.993655	−	0.112471i	$-0.964124\pi$
$479$	−23.0994	+	19.3827i	−1.05544	+	0.885619i	−0.0617845	+	0.998090i	$0.519679\pi$
$480$	−9.77113	+	8.73104i	−0.445989	+	0.398516i
$481$	7.75746	+	1.36785i	0.353710	+	0.0623686i
$482$	5.41328	−	30.7002i	0.246568	−	1.39836i
$483$	4.84081	−	32.0790i	0.220264	−	1.45964i
$484$	−1.02330	+	0.858647i	−0.0465135	+	0.0390294i
$485$	−8.19326	−	4.73038i	−0.372037	−	0.214795i
$486$	−6.45543	−	18.8412i	−0.292824	−	0.854654i
$487$	7.66471	+	13.2757i	0.347321	+	0.601578i	0.985773	−	0.168084i	$-0.0537580\pi$
$487$	7.66471	+	13.2757i	0.347321	+	0.601578i	−0.638451	+	0.769662i	$0.720425\pi$
$488$	0.261026	+	1.48035i	0.0118161	+	0.0670123i
$489$	−3.62544	−	1.94537i	−0.163948	−	0.0879725i
$490$	−28.3504	−	16.8518i	−1.28074	−	0.761288i
$491$	1.56786	+	4.30766i	0.0707565	+	0.194402i	0.970030	−	0.242985i	$-0.0781264\pi$
$491$	1.56786	+	4.30766i	0.0707565	+	0.194402i	−0.899274	+	0.437386i	$0.855904\pi$
$492$	−0.734635	+	2.23211i	−0.0331199	+	0.100631i
$493$	−0.744100	−	0.886784i	−0.0335126	−	0.0399387i
$494$	−2.43206	−	1.40415i	−0.109423	−	0.0631756i
$495$	2.63156	+	42.2385i	0.118280	+	1.89848i
$496$	18.7836	+	10.8447i	0.843406	+	0.486941i
$497$	0.0697595	−	10.9844i	0.00312914	−	0.492718i
$498$	−4.89833	−	3.85703i	−0.219500	−	0.172838i
$499$	31.3519	−	11.4112i	1.40350	−	0.510834i	0.474288	−	0.880370i	$-0.342706\pi$
$499$	31.3519	−	11.4112i	1.40350	−	0.510834i	0.929216	+	0.369536i	$0.120483\pi$
$500$	0.847305	−	4.80530i	0.0378926	−	0.214900i
$501$	−5.78812	−	14.4841i	−0.258594	−	0.647104i
$502$	14.5029	+	17.2839i	0.647296	+	0.771417i
$503$	−5.61247	+	9.72108i	−0.250248	+	0.433442i	−0.963594	−	0.267370i	$-0.913845\pi$
$503$	−5.61247	+	9.72108i	−0.250248	+	0.433442i	0.713346	+	0.700812i	$0.247179\pi$
$504$	21.4313	+	10.8252i	0.954626	+	0.482191i
$505$	−0.658595	−	1.14072i	−0.0293071	−	0.0507614i
$506$	−11.8341	+	32.5138i	−0.526089	+	1.44542i
$507$	−20.3813	+	4.25138i	−0.905163	+	0.188810i
$508$	0.669495	+	0.561773i	0.0297040	+	0.0249246i
$509$	−15.3160	−	12.8516i	−0.678868	−	0.569638i	0.236807	−	0.971557i	$-0.423899\pi$
$509$	−15.3160	−	12.8516i	−0.678868	−	0.569638i	−0.915675	+	0.401919i	$0.868343\pi$
$510$	−1.49762	+	0.0466076i	−0.0663159	+	0.00206382i
$511$	0.00806139	−	1.26936i	0.000356615	−	0.0561530i
$512$		−	25.3542i		−	1.12051i
$513$	11.4894	−	1.07546i	0.507270	−	0.0474829i
$514$	10.5171	−	6.07207i	0.463891	−	0.267828i
$515$	1.57313	−	4.32215i	0.0693206	−	0.190457i
$516$	−0.139076	−	4.46888i	−0.00612248	−	0.196732i
$517$	32.2564	+	5.68768i	1.41864	+	0.250144i
$518$	−9.36172	+	25.2216i	−0.411330	+	1.10817i
$519$	14.1507	+	15.8364i	0.621146	+	0.695140i
$520$	−10.3750	−	3.77620i	−0.454975	−	0.165597i
$521$	20.2450	−	35.0654i	0.886951	−	1.53624i	0.0434906	−	0.999054i	$-0.486152\pi$
$521$	20.2450	−	35.0654i	0.886951	−	1.53624i	0.843461	−	0.537191i	$-0.180515\pi$
$522$	−19.4423	−	14.3524i	−0.850964	−	0.628187i
$523$	2.79043	−	1.61106i	0.122017	−	0.0704465i	−0.437749	−	0.899097i	$-0.644224\pi$
$523$	2.79043	−	1.61106i	0.122017	−	0.0704465i	0.559766	+	0.828651i	$0.310891\pi$
$524$	−5.03594	−	1.83293i	−0.219996	−	0.0800720i
$525$	−38.6260	+	7.80145i	−1.68578	+	0.340483i
$526$	13.7901	+	11.5713i	0.601277	+	0.504531i
$527$	−0.435216	−	1.19575i	−0.0189583	−	0.0520875i
$528$	−16.2914	−	12.8281i	−0.708990	−	0.558271i
$529$	−4.70914	−	26.7068i	−0.204745	−	1.16117i
$530$	−19.7331	−	34.1787i	−0.857150	−	1.48463i
$531$	16.7064	+	12.3328i	0.724998	+	0.535198i
$532$	−1.39899	+	1.64591i	−0.0606540	+	0.0713593i
$533$	−3.59701	+	0.634250i	−0.155804	+	0.0274724i
$534$	3.85540	+	18.4829i	0.166839	+	0.799834i
$535$	44.8477	−	53.4474i	1.93893	−	2.31073i
$536$	8.13896	+	22.3616i	0.351549	+	0.965874i
$537$	38.7497	−	1.20593i	1.67217	−	0.0520397i
$538$	6.78130	+	8.08163i	0.292362	+	0.348424i
$539$	−9.47734	+	25.0444i	−0.408218	+	1.07874i
$540$	6.79342	−	1.86454i	0.292342	−	0.0802368i
$541$	11.2539	−	19.4924i	0.483844	−	0.838043i	−0.515984	−	0.856598i	$-0.672573\pi$
$541$	11.2539	−	19.4924i	0.483844	−	0.838043i	0.999828	+	0.0185558i	$0.00590682\pi$
$542$	1.12848	+	0.410733i	0.0484723	+	0.0176425i
$543$	16.7262	+	26.9951i	0.717792	+	1.15847i
$544$	−0.242122	+	0.288550i	−0.0103809	+	0.0123715i
$545$	36.3697	−	13.2375i	1.55791	−	0.567032i
$546$	0.143468	+	5.79308i	0.00613985	+	0.247921i
$547$	2.43115	+	13.7877i	0.103948	+	0.589521i	0.991635	+	0.129073i	$0.0412001\pi$
$547$	2.43115	+	13.7877i	0.103948	+	0.589521i	−0.887687	+	0.460448i	$0.847689\pi$
$548$			4.01169i			0.171371i
$549$	0.421779	−	1.42986i	0.0180011	−	0.0610250i
$550$	42.0276			1.79206
$551$	10.7260	−	9.00019i	0.456943	−	0.383421i
$552$	36.7115	+	5.30164i	1.56255	+	0.225653i
$553$	7.54211	−	6.24739i	0.320723	−	0.265666i
$554$	19.1158	−	22.7813i	0.812151	−	0.967883i
$555$	18.8639	+	47.2049i	0.800728	+	2.00373i
$556$	5.24897	−	0.925535i	0.222606	−	0.0392514i
$557$			26.1954i			1.10993i	0.831872	+	0.554967i	$0.187269\pi$
$557$			26.1954i			1.10993i	−0.831872	+	0.554967i	$0.812731\pi$
$558$	−14.6868	−	22.1347i	−0.621741	−	0.937035i
$559$	6.01840	−	3.47473i	0.254551	−	0.146965i
$560$	15.4347	−	26.3459i	0.652237	−	1.11332i
$561$	0.248413	+	1.19090i	0.0104880	+	0.0502799i
$562$	−1.92764	+	10.9322i	−0.0813125	+	0.461146i
$563$	−33.5361	+	12.2062i	−1.41338	+	0.514428i	−0.932120	−	0.362150i	$-0.882043\pi$
$563$	−33.5361	+	12.2062i	−1.41338	+	0.514428i	−0.481260	+	0.876578i	$0.659821\pi$
$564$	−0.169597	−	5.44959i	−0.00714132	−	0.229469i
$565$	48.0850	−	8.47868i	2.02295	−	0.356701i
$566$	−24.0852			−1.01237
$567$	−14.2526	−	19.0752i	−0.598552	−	0.801084i
$568$	12.5592			0.526970
$569$	−8.99651	+	1.58633i	−0.377153	+	0.0665023i	−0.359012	−	0.933333i	$-0.616886\pi$
$569$	−8.99651	+	1.58633i	−0.377153	+	0.0665023i	−0.0181418	+	0.999835i	$0.505775\pi$
$570$	−0.563737	−	18.1144i	−0.0236124	−	0.758727i
$571$	9.87137	−	3.59289i	0.413104	−	0.150358i	−0.127103	−	0.991889i	$-0.540568\pi$
$571$	9.87137	−	3.59289i	0.413104	−	0.150358i	0.540207	+	0.841532i	$0.318346\pi$
$572$	−0.241709	+	1.37080i	−0.0101063	+	0.0573159i
$573$	−1.09552	−	5.25198i	−0.0457661	−	0.219404i
$574$	0.0792209	−	12.4742i	0.00330662	−	0.520664i
$575$	−52.7209	+	30.4385i	−2.19862	+	1.26937i
$576$	−11.8599	+	23.8552i	−0.494164	+	0.993965i
$577$			27.7315i			1.15448i	0.816576	+	0.577238i	$0.195870\pi$
$577$			27.7315i			1.15448i	−0.816576	+	0.577238i	$0.804130\pi$
$578$	21.3475	−	3.76413i	0.887937	−	0.156567i
$579$	0.606603	+	1.51796i	0.0252096	+	0.0630842i
$580$	5.49439	−	6.54796i	0.228142	−	0.271889i
$581$	−6.98814	−	2.59385i	−0.289917	−	0.107611i
$582$	−5.61898	−	0.811457i	−0.232914	−	0.0336360i
$583$	−24.5465	+	20.5970i	−1.01661	+	0.853040i
$584$	1.45133			0.0600566
$585$	7.54627	+	7.93405i	0.312000	+	0.328033i
$586$		−	1.49401i		−	0.0617170i
$587$	−5.46195	−	30.9763i	−0.225439	−	1.27853i	−0.861845	−	0.507172i	$-0.830691\pi$
$587$	−5.46195	−	30.9763i	−0.225439	−	1.27853i	0.636406	−	0.771354i	$-0.280420\pi$
$588$	4.40318	+	0.693080i	0.181584	+	0.0285821i
$589$	14.4630	−	5.26411i	0.595939	−	0.216904i
$590$	20.9628	−	24.9825i	0.863026	−	1.02851i
$591$	3.20982	+	5.18044i	0.132034	+	0.213095i
$592$	−23.4052	−	8.51879i	−0.961948	−	0.350120i
$593$	−8.21899	+	14.2357i	−0.337513	+	0.584590i	−0.983964	−	0.178365i	$-0.942919\pi$
$593$	−8.21899	+	14.2357i	−0.337513	+	0.584590i	0.646451	+	0.762956i	$0.276253\pi$
$594$	10.8722	+	22.9510i	0.446092	+	0.941690i
$595$	−1.68723	+	0.601993i	−0.0691695	+	0.0246793i
$596$	−1.06548	−	1.26978i	−0.0436436	−	0.0520124i
$597$	20.0824	−	0.624985i	0.821919	−	0.0255789i
$598$	3.06186	+	8.41239i	0.125209	+	0.344008i
$599$	−13.9070	+	16.5737i	−0.568225	+	0.677185i	−0.971266	−	0.237998i	$-0.923509\pi$
$599$	−13.9070	+	16.5737i	−0.568225	+	0.677185i	0.403040	+	0.915182i	$0.367953\pi$
$600$	−9.19998	−	44.1050i	−0.375588	−	1.80058i
$601$	−12.4437	+	2.19416i	−0.507588	+	0.0895015i	−0.421577	−	0.906793i	$-0.638523\pi$
$601$	−12.4437	+	2.19416i	−0.507588	+	0.0895015i	−0.0860112	+	0.996294i	$0.527412\pi$
$602$	7.97592	+	22.3544i	0.325074	+	0.911096i
$603$	2.64499	−	23.4515i	0.107712	−	0.955017i
$604$	−4.46255	−	7.72937i	−0.181579	−	0.314504i
$605$	−2.32675	−	13.1957i	−0.0945958	−	0.536480i
$606$	−0.621014	−	0.488996i	−0.0252270	−	0.0198641i
$607$	−7.07741	−	19.4450i	−0.287263	−	0.789249i	−0.996447	−	0.0842254i	$-0.973158\pi$
$607$	−7.07741	−	19.4450i	−0.287263	−	0.789249i	0.709183	−	0.705024i	$-0.249064\pi$
$608$	−3.49013	−	2.92857i	−0.141543	−	0.118769i
$609$	−27.3863	−	9.20659i	−1.10975	−	0.373070i
$610$	−2.20008	−	0.800763i	−0.0890786	−	0.0324220i
$611$	7.33916	−	4.23727i	0.296911	−	0.171422i
$612$	0.185617	−	0.0809591i	0.00750310	−	0.00327258i
$613$	17.0977	−	29.6141i	0.690570	−	1.19610i	−0.281082	−	0.959684i	$-0.590693\pi$
$613$	17.0977	−	29.6141i	0.690570	−	1.19610i	0.971651	−	0.236418i	$-0.0759734\pi$
$614$	12.1230	+	4.41243i	0.489246	+	0.178071i
$615$	−15.7056	−	17.5765i	−0.633310	−	0.708753i
$616$	−28.7024	−	10.6537i	−1.15645	−	0.429251i
$617$	6.02153	+	1.06176i	0.242418	+	0.0427448i	0.293537	−	0.955948i	$-0.405168\pi$
$617$	6.02153	+	1.06176i	0.242418	+	0.0427448i	−0.0511191	+	0.998693i	$0.516279\pi$
$618$	−0.0858562	−	2.75878i	−0.00345364	−	0.110975i
$619$	13.3807	−	36.7630i	0.537814	−	1.47763i	−0.311759	−	0.950161i	$-0.600918\pi$
$619$	13.3807	−	36.7630i	0.537814	−	1.47763i	0.849573	−	0.527470i	$-0.176859\pi$
$620$	8.13714	−	4.69798i	0.326795	−	0.188675i
$621$	−30.2608	−	20.9164i	−1.21432	−	0.839346i
$622$		−	15.4401i		−	0.619093i
$623$	11.1624	+	19.6205i	0.447211	+	0.786080i
$624$	−5.36240	+	0.166883i	−0.214668	+	0.00668067i
$625$	4.55705	+	3.82382i	0.182282	+	0.152953i
$626$	8.42654	+	7.07071i	0.336792	+	0.282602i
$627$	−14.4044	+	3.00466i	−0.575258	+	0.119994i
$628$	−1.06910	+	2.93733i	−0.0426617	+	0.117212i
$629$	0.730639	+	1.26550i	0.0291325	+	0.0504589i
$630$	−31.2918	+	20.4777i	−1.24669	+	0.815851i
$631$	−14.3536	+	24.8611i	−0.571407	+	0.989707i	0.425014	+	0.905187i	$0.360269\pi$
$631$	−14.3536	+	24.8611i	−0.571407	+	0.989707i	−0.996422	+	0.0845200i	$0.973064\pi$
$632$	7.19750	+	8.57765i	0.286301	+	0.341200i
$633$	−5.46226	−	13.6687i	−0.217105	−	0.543283i
$634$	−4.09483	+	23.2229i	−0.162626	+	0.922300i
$635$	−8.23780	+	2.99831i	−0.326907	+	0.118984i
$636$	4.19068	+	3.29981i	0.166171	+	0.130846i
$637$	2.28672	+	6.53999i	0.0906031	+	0.259124i
$638$	26.6862	+	15.4073i	1.05652	+	0.609981i
$639$	−11.1531	−	5.54492i	−0.441209	−	0.219354i
$640$	23.1305	+	13.3544i	0.914312	+	0.527878i
$641$	−5.32576	−	6.34699i	−0.210355	−	0.250691i	0.650542	−	0.759470i	$-0.274542\pi$
$641$	−5.32576	−	6.34699i	−0.210355	−	0.250691i	−0.860897	+	0.508779i	$0.830097\pi$
$642$	13.0891	−	39.7698i	0.516585	−	1.56959i
$643$	13.6809	+	37.5878i	0.539520	+	1.48232i	0.847431	+	0.530905i	$0.178148\pi$
$643$	13.6809	+	37.5878i	0.539520	+	1.48232i	−0.307911	+	0.951415i	$0.599630\pi$
$644$	6.78892	−	1.15266i	0.267521	−	0.0454214i
$645$	39.5181	+	21.2049i	1.55602	+	0.834943i
$646$	−0.0904644	−	0.513049i	−0.00355927	−	0.0201857i
$647$	−0.417573	−	0.723257i	−0.0164165	−	0.0284342i	0.857700	−	0.514150i	$-0.171892\pi$
$647$	−0.417573	−	0.723257i	−0.0164165	−	0.0284342i	−0.874117	+	0.485716i	$0.838559\pi$
$648$	21.7055	−	16.4337i	0.852673	−	0.645576i
$649$	−22.9311	−	13.2393i	−0.900123	−	0.519686i
$650$	8.32989	−	6.98960i	0.326725	−	0.274155i
$651$	−24.8271	−	19.8060i	−0.973052	−	0.776258i
$652$	0.151649	−	0.860042i	0.00593902	−	0.0336818i
$653$	−38.0859	−	6.71557i	−1.49042	−	0.262801i	−0.631684	−	0.775226i	$-0.717636\pi$
$653$	−38.0859	−	6.71557i	−1.49042	−	0.262801i	−0.858732	+	0.512425i	$0.828747\pi$
$654$	17.3189	−	15.4754i	0.677222	−	0.605135i
$655$	41.1795	−	34.5537i	1.60902	−	1.35012i
$656$	11.5491			0.450917
$657$	−1.28885	−	0.640769i	−0.0502827	−	0.0249988i
$658$	9.72627	+	27.2601i	0.379169	+	1.06271i
$659$	6.13729	−	16.8621i	0.239075	−	0.656853i	−0.760893	−	0.648877i	$-0.775239\pi$
$659$	6.13729	−	16.8621i	0.239075	−	0.656853i	0.999968	−	0.00797567i	$-0.00253876\pi$
$660$	−8.34143	+	3.33338i	−0.324690	+	0.129752i
$661$	−25.3026	−	4.46154i	−0.984158	−	0.173534i	−0.341662	−	0.939823i	$-0.610990\pi$
$661$	−25.3026	−	4.46154i	−0.984158	−	0.173534i	−0.642496	+	0.766289i	$0.722101\pi$
$662$	−38.6744	−	6.81935i	−1.50312	−	0.265041i
$663$	0.247295	+	0.194724i	0.00960412	+	0.00756244i
$664$	2.91485	−	8.00848i	0.113118	−	0.310789i
$665$	−7.28135	−	20.4077i	−0.282359	−	0.791376i
$666$	21.0234	+	22.1038i	0.814641	+	0.856503i
$667$	−44.6349			−1.72827
$668$	2.53618	−	2.12811i	0.0981278	−	0.0823390i
$669$	10.2659	+	49.2149i	0.396901	+	1.90276i
$670$	−36.5013	−	6.43616i	−1.41017	−	0.248650i
$671$	−0.330091	+	1.87204i	−0.0127430	+	0.0722693i
$672$	−1.40280	+	9.29604i	−0.0541141	+	0.358602i
$673$	24.2002	−	20.3064i	0.932848	−	0.782752i	−0.0434786	−	0.999054i	$-0.513844\pi$
$673$	24.2002	−	20.3064i	0.932848	−	0.782752i	0.976326	+	0.216302i	$0.0693996\pi$
$674$	12.4388	+	7.18153i	0.479123	+	0.276622i
$675$	−11.3026	+	43.2290i	−0.435035	+	1.66388i
$676$	−2.20959	−	3.82712i	−0.0849842	−	0.147197i
$677$	3.44634	+	19.5452i	0.132454	+	0.751183i	0.976599	+	0.215068i	$0.0689974\pi$
$677$	3.44634	+	19.5452i	0.132454	+	0.751183i	−0.844145	+	0.536115i	$0.819892\pi$
$678$	24.9068	−	15.4324i	0.956541	−	0.592676i
$679$	−6.69189	+	1.13619i	−0.256811	+	0.0436030i
$680$	−0.700519	−	1.92466i	−0.0268637	−	0.0738073i
$681$	−7.36736	+	1.53678i	−0.282318	+	0.0588894i
$682$	21.7727	+	25.9477i	0.833721	+	0.993591i
$683$	−9.80796	−	5.66263i	−0.375291	−	0.216674i	0.300476	−	0.953789i	$-0.402854\pi$
$683$	−9.80796	−	5.66263i	−0.375291	−	0.216674i	−0.675768	+	0.737115i	$0.736188\pi$
$684$	0.979233	+	2.24511i	0.0374419	+	0.0858438i
$685$	−34.8490	−	20.1201i	−1.33151	−	0.768748i
$686$	−23.3768	+	3.66421i	−0.892529	+	0.139900i
$687$	20.5923	−	8.22905i	0.785645	−	0.313958i
$688$	−20.6488	+	7.51555i	−0.787228	+	0.286528i
$689$	−1.43965	+	8.16467i	−0.0548464	+	0.311049i
$690$	−35.7411	+	45.3903i	−1.36064	+	1.72798i
$691$	6.25546	+	7.45497i	0.237969	+	0.283600i	0.871790	−	0.489879i	$-0.162959\pi$
$691$	6.25546	+	7.45497i	0.237969	+	0.283600i	−0.633822	+	0.773479i	$0.718515\pi$
$692$	−2.25391	+	3.90388i	−0.0856807	+	0.148403i
$693$	20.7853	+	22.1332i	0.789570	+	0.840772i
$694$	4.73165	+	8.19545i	0.179611	+	0.311095i
$695$	−18.2855	+	50.2390i	−0.693608	+	1.90567i
$696$	10.3272	−	31.3780i	0.391451	−	1.18938i
$697$	−0.519050	−	0.435534i	−0.0196604	−	0.0164970i
$698$	20.2033	+	16.9526i	0.764707	+	0.641665i
$699$	−1.17812	−	1.90141i	−0.0445606	−	0.0719179i
$700$	−4.13601	−	7.27001i	−0.156326	−	0.274781i
$701$			19.1934i			0.724926i	0.931998	+	0.362463i	$0.118064\pi$
$701$			19.1934i			0.724926i	−0.931998	+	0.362463i	$0.881936\pi$
$702$	5.97186	+	2.74074i	0.225393	+	0.103443i
$703$	−15.3068	+	8.83737i	−0.577306	+	0.333308i
$704$	11.6185	−	31.9216i	0.437889	−	1.20309i
$705$	48.1904	+	25.8584i	1.81496	+	0.973884i
$706$	−2.13456	−	0.376380i	−0.0803351	−	0.0141652i
$707$	−0.885961	−	0.328850i	−0.0333200	−	0.0123677i
$708$	−1.37793	+	4.18669i	−0.0517857	+	0.157345i
$709$	−8.39288	−	3.05476i	−0.315201	−	0.114724i	0.179575	−	0.983744i	$-0.442528\pi$
$709$	−8.39288	−	3.05476i	−0.315201	−	0.114724i	−0.494776	+	0.869020i	$0.664750\pi$
$710$	−9.78069	+	16.9407i	−0.367063	+	0.635771i
$711$	−2.60463	−	10.7950i	−0.0976812	−	0.404846i
$712$	−22.3514	+	12.9046i	−0.837654	+	0.483620i
$713$	−46.1052	−	16.7809i	−1.72665	−	0.628450i
$714$	−0.806136	+	0.711171i	−0.0301689	+	0.0266149i
$715$	−10.6957	−	8.97473i	−0.399995	−	0.335636i
$716$	2.81444	+	7.73261i	0.105181	+	0.288981i
$717$	−3.27716	+	22.6929i	−0.122388	+	0.847482i
$718$	0.150022	+	0.850817i	0.00559877	+	0.0317522i
$719$	−10.5281	−	18.2351i	−0.392630	−	0.680056i	0.600165	−	0.799876i	$-0.295101\pi$
$719$	−10.5281	−	18.2351i	−0.392630	−	0.680056i	−0.992796	+	0.119820i	$0.961768\pi$
$720$	−19.1423	−	28.8496i	−0.713390	−	1.07516i
$721$	−1.10894	−	3.10805i	−0.0412990	−	0.115750i
$722$	−17.7008	+	3.12113i	−0.658756	+	0.116156i
$723$	−40.1430	−	13.2119i	−1.49294	−	0.491357i
$724$	−4.33279	+	5.16362i	−0.161027	+	0.191904i
$725$	18.5429	+	50.9462i	0.688667	+	1.89210i
$726$	−4.23500	−	6.83501i	−0.157176	−	0.253671i
$727$	−15.0731	−	17.9634i	−0.559031	−	0.666227i	0.410310	−	0.911946i	$-0.365420\pi$
$727$	−15.0731	−	17.9634i	−0.559031	−	0.666227i	−0.969341	+	0.245719i	$0.920976\pi$
$728$	−7.46066	+	2.66193i	−0.276511	+	0.0986575i
$729$	−26.5310	+	5.01076i	−0.982628	+	0.185584i
$730$	−1.13025	+	1.95766i	−0.0418326	+	0.0724561i
$731$	1.21144	+	0.440927i	0.0448067	+	0.0163083i
$732$	0.316273	−	0.00984275i	0.0116898	−	0.000363799i
$733$	−26.6852	+	31.8022i	−0.985641	+	1.17464i	−0.00100872	+	0.999999i	$0.500321\pi$
$733$	−26.6852	+	31.8022i	−0.985641	+	1.17464i	−0.984632	+	0.174641i	$0.944123\pi$
$734$	−4.65431	+	1.69403i	−0.171794	+	0.0625277i
$735$	−28.1042	+	34.7738i	−1.03664	+	1.28265i
$736$	2.52202	+	14.3031i	0.0929628	+	0.527218i
$737$			30.0931i			1.10850i
$738$	−12.6658	−	6.29697i	−0.466233	−	0.231795i
$739$	−11.0605			−0.406869			−0.203434	−	0.979089i	$-0.565210\pi$
$739$	−11.0605			−0.406869			−0.203434	+	0.979089i	$0.565210\pi$
$740$	−8.26560	+	6.93566i	−0.303850	+	0.254960i
$741$	−2.35526	+	2.99113i	−0.0865227	+	0.109882i
$742$	−26.5455	−	9.85314i	−0.974517	−	0.361720i
$743$	14.0804	−	16.7804i	0.516560	−	0.615612i	−0.443204	−	0.896421i	$-0.646158\pi$
$743$	14.0804	−	16.7804i	0.516560	−	0.615612i	0.959764	+	0.280809i	$0.0906026\pi$
$744$	22.4642	−	28.5290i	0.823579	−	1.04593i
$745$	16.3742	−	2.88721i	0.599903	−	0.105779i
$746$		−	0.408664i		−	0.0149622i
$747$	−6.12429	+	5.82496i	−0.224076	+	0.213124i
$748$	−0.223623	+	0.129109i	−0.00817648	+	0.00472069i
$749$	0.317896	−	50.0562i	0.0116157	−	1.82901i
$750$	27.8986	+	9.18202i	1.01871	+	0.335280i
$751$	−1.21199	+	6.87354i	−0.0442262	+	0.250819i	−0.998903	−	0.0468248i	$-0.985090\pi$
$751$	−1.21199	+	6.87354i	−0.0442262	+	0.250819i	0.954677	+	0.297644i	$0.0962009\pi$
$752$	−25.1803	+	9.16486i	−0.918230	+	0.334208i
$753$	26.0008	−	16.1102i	0.947520	−	0.587087i
$754$	7.85161	−	1.38445i	0.285939	−	0.0504187i
$755$	89.5253			3.25816
$756$	2.90015	−	4.13935i	0.105478	−	0.150547i
$757$	21.4744			0.780501			0.390250	−	0.920709i	$-0.372388\pi$
$757$	21.4744			0.780501			0.390250	+	0.920709i	$0.372388\pi$
$758$	−15.0169	+	2.64789i	−0.545439	+	0.0961756i
$759$	41.3323	+	22.1784i	1.50027	+	0.805025i
$760$	23.2795	−	8.47306i	0.844437	−	0.307350i
$761$	6.24778	−	35.4329i	0.226482	−	1.28444i	−0.633350	−	0.773866i	$-0.718321\pi$
$761$	6.24778	−	35.4329i	0.226482	−	1.28444i	0.859832	−	0.510578i	$-0.170568\pi$
$762$	−3.92275	+	3.50520i	−0.142106	+	0.126980i
$763$	14.0366	−	23.9593i	0.508158	−	0.867386i
$764$	0.986198	−	0.569381i	0.0356794	−	0.0205995i
$765$	−0.227654	+	2.01846i	−0.00823083	+	0.0729777i
$766$		−	37.1854i		−	1.34356i
$767$	−6.74677	+	1.18964i	−0.243612	+	0.0429554i
$768$	−14.5832	−	2.10601i	−0.526226	−	0.0759941i
$769$	−26.3972	+	31.4589i	−0.951907	+	1.13444i	0.0389121	+	0.999243i	$0.487611\pi$
$769$	−26.3972	+	31.4589i	−0.951907	+	1.13444i	−0.990819	+	0.135196i	$0.956834\pi$
$770$	36.7231	−	30.4190i	1.32341	−	1.09623i
$771$	−6.10932	−	15.2879i	−0.220022	−	0.550580i
$772$	−0.265796	+	0.223029i	−0.00956619	+	0.00802699i
$773$	−49.9374			−1.79612			−0.898061	−	0.439871i	$-0.855024\pi$
$773$	−49.9374			−1.79612			−0.898061	+	0.439871i	$0.855024\pi$
$774$	26.7430	+	3.01623i	0.961257	+	0.108416i
$775$			59.5958i			2.14074i
$776$	−1.34761	−	7.64269i	−0.0483765	−	0.274357i
$777$	32.0270	+	17.4481i	1.14896	+	0.625949i
$778$	−19.4311	+	7.07235i	−0.696640	+	0.253556i
$779$	5.26796	−	6.27811i	0.188744	−	0.224937i
$780$	−1.09890	+	2.04794i	−0.0393470	+	0.0733281i
$781$	14.9244	+	5.43203i	0.534037	+	0.194373i
$782$	−0.830363	+	1.43823i	−0.0296937	+	0.0514310i
$783$	−23.0245	+	23.3056i	−0.822829	+	0.832873i
$784$	−3.52978	−	21.6207i	−0.126063	−	0.772167i
$785$	−20.1542	−	24.0189i	−0.719336	−	0.857271i
$786$	15.2523	−	28.4246i	0.544032	−	1.01387i
$787$	17.0070	+	46.7265i	0.606235	+	1.66562i	0.738378	+	0.674387i	$0.235592\pi$
$787$	17.0070	+	46.7265i	0.606235	+	1.66562i	−0.132142	+	0.991231i	$0.542186\pi$
$788$	−0.831476	+	0.990915i	−0.0296201	+	0.0352999i
$789$	18.1978	−	16.2607i	0.647858	−	0.578896i
$790$	−17.1753	+	3.02847i	−0.611070	+	0.107748i
$791$	22.6875	−	26.6918i	0.806673	−	0.949050i
$792$	−25.1543	+	23.9249i	−0.893820	+	0.850134i
$793$	0.245915	+	0.425937i	0.00873269	+	0.0151255i
$794$	1.20359	+	6.82593i	0.0427140	+	0.242243i
$795$	−49.6828	+	19.8541i	−1.76207	+	0.704153i
$796$	1.45861	+	4.00751i	0.0516992	+	0.142042i
$797$	−20.3346	−	17.0628i	−0.720288	−	0.604394i	0.207177	−	0.978304i	$-0.433573\pi$
$797$	−20.3346	−	17.0628i	−0.720288	−	0.604394i	−0.927465	+	0.373910i	$0.878017\pi$
$798$	−8.60190	−	9.75053i	−0.304504	−	0.345165i
$799$	1.47729	+	0.537690i	0.0522628	+	0.0190221i
$800$	15.2778	−	8.82063i	0.540151	−	0.311856i
$801$	25.5464	−	1.59160i	0.902639	−	0.0562365i
$802$	9.78041	−	16.9402i	0.345358	−	0.598178i
$803$	1.72466	+	0.627724i	0.0608619	+	0.0221519i
$804$	4.90375	−	1.02289i	0.172942	−	0.0360744i
$805$	−24.0359	+	64.7554i	−0.847153	+	2.28233i
$806$	8.63074	+	1.52183i	0.304005	+	0.0536043i
$807$	12.1575	−	7.53283i	0.427964	−	0.265168i
$808$	0.369546	−	1.01532i	0.0130006	−	0.0357188i
$809$	−2.61812	+	1.51157i	−0.0920482	+	0.0531441i	−0.545318	−	0.838230i	$-0.683591\pi$
$809$	−2.61812	+	1.51157i	−0.0920482	+	0.0531441i	0.453269	+	0.891374i	$0.350258\pi$
$810$	5.26329	+	42.0759i	0.184933	+	1.47840i
$811$			32.2517i			1.13251i	0.824230	+	0.566255i	$0.191608\pi$
$811$			32.2517i			1.13251i	−0.824230	+	0.566255i	$0.808392\pi$
$812$	0.0389461	−	6.13250i	0.00136674	−	0.215208i
$813$	0.769760	−	1.43455i	0.0269967	−	0.0503117i
$814$	−29.7974	−	25.0030i	−1.04440	−	0.876356i
$815$	6.71049	+	5.63077i	0.235058	+	0.197237i
$816$	−0.663142	−	0.742140i	−0.0232146	−	0.0259801i
$817$	−5.33319	+	14.6528i	−0.186585	+	0.512638i
$818$	−18.5667	−	32.1584i	−0.649168	−	1.12439i
$819$	7.80065	+	0.930007i	0.272577	+	0.0324971i
$820$	2.50157	−	4.33285i	0.0873586	−	0.151310i
$821$	−15.9620	−	19.0228i	−0.557079	−	0.663901i	0.411847	−	0.911253i	$-0.364884\pi$
$821$	−15.9620	−	19.0228i	−0.557079	−	0.663901i	−0.968926	+	0.247352i	$0.920439\pi$
$822$	−23.8996	−	3.45143i	−0.833595	−	0.120382i
$823$	0.736146	−	4.17489i	0.0256604	−	0.145527i	−0.969286	−	0.245937i	$-0.920904\pi$
$823$	0.736146	−	4.17489i	0.0256604	−	0.145527i	0.994946	+	0.100410i	$0.0320154\pi$
$824$	3.54543	−	1.29043i	0.123511	−	0.0449543i
$825$	8.14353	−	56.3903i	0.283521	−	1.96326i
$826$	0.148592	−	23.3974i	0.00517016	−	0.814100i
$827$	25.3919	+	14.6600i	0.882963	+	0.509779i	0.871634	−	0.490157i	$-0.163061\pi$
$827$	25.3919	+	14.6600i	0.882963	+	0.509779i	0.0113285	+	0.999936i	$0.496394\pi$
$828$	2.20911	−	7.48906i	0.0767720	−	0.260263i
$829$	16.5685	+	9.56582i	0.575447	+	0.332235i	0.759322	−	0.650715i	$-0.225531\pi$
$829$	16.5685	+	9.56582i	0.575447	+	0.332235i	−0.183875	+	0.982950i	$0.558864\pi$
$830$	8.53239	+	10.1685i	0.296164	+	0.352954i
$831$	−26.8627	−	30.0627i	−0.931857	−	1.04287i
$832$	−3.00608	−	8.25915i	−0.104217	−	0.286334i
$833$	−0.656710	+	1.10481i	−0.0227537	+	0.0382793i
$834$	0.997958	+	32.0670i	0.0345564	+	1.11039i
$835$	5.76672	+	32.7047i	0.199566	+	1.13179i
$836$	−1.56162	−	2.70481i	−0.0540099	−	0.0935479i
$837$	−32.5449	+	15.4170i	−1.12492	+	0.532889i
$838$	−4.89364	−	2.82535i	−0.169048	−	0.0976000i
$839$	32.3672	−	27.1593i	1.11744	−	0.937643i	0.118967	−	0.992898i	$-0.462042\pi$
$839$	32.3672	−	27.1593i	1.11744	−	0.937643i	0.998472	+	0.0552551i	$0.0175972\pi$
$840$	−39.9615	−	31.8795i	−1.37880	−	1.09995i
$841$	−1.86690	+	10.5877i	−0.0643758	+	0.365094i
$842$	41.5260	+	7.32216i	1.43108	+	0.252338i
$843$	14.2947	+	4.70469i	0.492336	+	0.162038i
$844$	2.39340	−	2.00830i	0.0823843	−	0.0691286i
$845$	44.3275			1.52491
$846$	32.6118	+	3.67815i	1.12122	+	0.126457i
$847$	−7.32484	−	6.22597i	−0.251685	−	0.213927i
$848$	8.96597	−	24.6338i	0.307893	−	0.845928i
$849$	−4.66689	+	32.3162i	−0.160167	+	1.10909i
$850$	1.98656	+	0.350284i	0.0681384	+	0.0120146i
$851$	55.4875	+	9.78394i	1.90209	+	0.335389i
$852$	0.377873	−	2.61660i	0.0129457	−	0.0896434i
$853$	5.81313	−	15.9714i	0.199038	−	0.546852i	−0.799514	−	0.600647i	$-0.794910\pi$
$853$	5.81313	−	15.9714i	0.199038	−	0.546852i	0.998552	+	0.0537954i	$0.0171319\pi$
$854$	−1.58207	+	0.564475i	−0.0541374	+	0.0193159i
$855$	−24.4141	−	2.75356i	−0.834946	−	0.0941698i
$856$	57.2323			1.95616
$857$	−34.1802	+	28.6806i	−1.16757	+	0.979712i	−0.999981	−	0.00614460i	$-0.998044\pi$
$857$	−34.1802	+	28.6806i	−1.16757	+	0.979712i	−0.167594	+	0.985856i	$0.553600\pi$
$858$	−7.95857	−	2.61933i	−0.271701	−	0.0894226i
$859$	−38.7235	−	6.82800i	−1.32123	−	0.232968i	−0.531831	−	0.846850i	$-0.678496\pi$
$859$	−38.7235	−	6.82800i	−1.32123	−	0.232968i	−0.789398	+	0.613882i	$0.789607\pi$
$860$	−1.65300	+	9.37464i	−0.0563669	+	0.319673i
$861$	−16.7219	−	2.52338i	−0.569881	−	0.0859965i
$862$	14.7196	−	12.3512i	0.501353	−	0.420685i
$863$	−15.4601	−	8.92592i	−0.526270	−	0.303842i	0.213226	−	0.977003i	$-0.431603\pi$
$863$	−15.4601	−	8.92592i	−0.526270	−	0.303842i	−0.739496	+	0.673161i	$0.764936\pi$
$864$	8.76914	+	6.06127i	0.298332	+	0.206209i
$865$	−22.6083	−	39.1587i	−0.768706	−	1.33144i
$866$	−0.489813	−	2.77787i	−0.0166445	−	0.0943958i
$867$	−0.914094	−	29.3723i	−0.0310443	−	0.997534i
$868$	2.34580	−	6.31986i	0.0796216	−	0.214510i
$869$	4.84302	+	13.3061i	0.164288	+	0.451378i
$870$	34.2824	+	38.3663i	1.16228	+	1.30074i
$871$	5.00479	+	5.96448i	0.169581	+	0.202099i
$872$	27.4950	+	15.8742i	0.931098	+	0.537570i
$873$	−2.17754	+	7.38202i	−0.0736985	+	0.249843i
$874$	−17.3960	−	10.0436i	−0.588428	−	0.339729i
$875$	35.1145	+	0.223004i	1.18709	+	0.00753892i
$876$	0.0436669	−	0.302374i	0.00147537	−	0.0102163i
$877$	25.3631	−	9.23142i	0.856452	−	0.311723i	0.123784	−	0.992309i	$-0.460497\pi$
$877$	25.3631	−	9.23142i	0.856452	−	0.311723i	0.732668	+	0.680586i	$0.238275\pi$
$878$	6.57683	−	37.2991i	0.221957	−	1.25878i
$879$	−2.00458	−	0.289489i	−0.0676129	−	0.00976422i
$880$	28.3779	+	33.8194i	0.956618	+	1.14005i
$881$	6.33881	−	10.9791i	0.213560	−	0.369897i	−0.739266	−	0.673413i	$-0.764827\pi$
$881$	6.33881	−	10.9791i	0.213560	−	0.369897i	0.952826	+	0.303517i	$0.0981608\pi$
$882$	−7.91727	+	25.6357i	−0.266588	+	0.863198i
$883$	−2.54583	−	4.40950i	−0.0856739	−	0.148392i	0.820004	−	0.572357i	$-0.193971\pi$
$883$	−2.54583	−	4.40950i	−0.0856739	−	0.148392i	−0.905678	+	0.423966i	$0.860638\pi$
$884$	−0.0228501	+	0.0627803i	−0.000768534	+	0.00211153i
$885$	−29.4583	−	32.9676i	−0.990231	−	1.10819i
$886$	7.62906	+	6.40155i	0.256303	+	0.215064i
$887$	7.98384	+	6.69924i	0.268071	+	0.224938i	0.766907	−	0.641758i	$-0.221795\pi$
$887$	7.98384	+	6.69924i	0.268071	+	0.224938i	−0.498836	+	0.866696i	$0.666239\pi$
$888$	−19.7162	+	36.7436i	−0.661632	+	1.23303i
$889$	−3.17930	+	5.42683i	−0.106630	+	0.182010i
$890$		−	40.1988i		−	1.34747i
$891$	32.9011	−	10.1406i	1.10223	−	0.339724i
$892$	−9.24140	+	5.33553i	−0.309425	+	0.178647i
$893$	−6.50358	+	17.8684i	−0.217634	+	0.597945i
$894$	8.48141	−	5.25512i	0.283661	−	0.175757i
$895$	−81.2875	−	14.3332i	−2.71714	−	0.479105i
$896$	18.8919	−	3.20759i	0.631135	−	0.107158i
$897$	11.8806	−	2.47820i	0.396681	−	0.0827447i
$898$	−16.3706	−	5.95841i	−0.546294	−	0.198835i
$899$	−21.8478	+	37.8415i	−0.728665	+	1.26209i
$900$	−9.46575	+	0.589738i	−0.315525	+	0.0196579i
$901$	−1.33193	+	0.768992i	−0.0443731	+	0.0256188i
$902$	16.9486	+	6.16877i	0.564326	+	0.205398i
$903$	31.5394	−	6.37014i	1.04956	−	0.211985i
$904$	30.6818	+	25.7451i	1.02046	+	0.856269i
$905$	−23.1251	−	63.5357i	−0.768705	−	2.11200i
$906$	49.8870	−	19.9357i	1.65739	−	0.662321i
$907$	−3.53566	−	20.0517i	−0.117400	−	0.665806i	−0.985534	−	0.169477i	$-0.945792\pi$
$907$	−3.53566	−	20.0517i	−0.117400	−	0.665806i	0.868135	−	0.496329i	$-0.165319\pi$
$908$	−0.798716	−	1.38342i	−0.0265063	−	0.0459103i
$909$	−0.776441	+	0.738492i	−0.0257529	+	0.0244942i
$910$	2.21955	−	12.1365i	0.0735774	−	0.402321i
$911$	9.13821	−	1.61131i	0.302762	−	0.0533852i	−0.0202032	−	0.999796i	$-0.506431\pi$
$911$	9.13821	−	1.61131i	0.302762	−	0.0533852i	0.322966	+	0.946411i	$0.395320\pi$
$912$	8.97648	−	8.02097i	0.297241	−	0.265601i
$913$	6.92759	−	8.25598i	0.229270	−	0.273233i
$914$	−0.123715	−	0.339903i	−0.00409212	−	0.0112430i
$915$	−1.50072	+	2.79679i	−0.0496124	+	0.0924589i
$916$	3.02556	+	3.60572i	0.0999674	+	0.119136i
$917$	6.93824	−	37.9382i	0.229121	−	1.25283i
$918$	0.322620	+	1.17546i	0.0106480	+	0.0387960i
$919$	−22.8078	+	39.5042i	−0.752359	+	1.30312i	0.194318	+	0.980939i	$0.437751\pi$
$919$	−22.8078	+	39.5042i	−0.752359	+	1.30312i	−0.946677	+	0.322185i	$0.895583\pi$
$920$	−74.2104	−	27.0104i	−2.44664	−	0.890506i
$921$	8.26940	−	15.4111i	0.272486	−	0.507812i
$922$	25.0425	−	29.8445i	0.824732	−	0.982877i
$923$	3.86143	−	1.40544i	0.127100	−	0.0462607i
$924$	−3.08321	+	5.65939i	−0.101430	+	0.186180i
$925$	−11.8841	−	67.3979i	−0.390746	−	2.21603i
$926$			23.4075i			0.769217i
$927$	−3.71823	−	0.419362i	−0.122123	−	0.0137737i
$928$	12.9346			0.424598
$929$	34.5871	−	29.0220i	1.13477	−	0.952181i	0.135510	−	0.990776i	$-0.456733\pi$
$929$	34.5871	−	29.0220i	1.13477	−	0.952181i	0.999255	+	0.0385947i	$0.0122881\pi$
$930$	20.9875	+	52.5189i	0.688206	+	1.72216i
$931$	−13.3631	−	7.94317i	−0.437958	−	0.260327i
$932$	0.305182	−	0.363702i	0.00999656	−	0.0119134i
$933$	−20.7168	−	2.99178i	−0.678236	−	0.0979465i
$934$	−40.6305	+	7.16425i	−1.32947	+	0.234421i
$935$		−	2.59011i		−	0.0847057i
$936$	−1.00665	+	8.92535i	−0.0329034	+	0.291734i
$937$	32.5292	−	18.7807i	1.06268	−	0.613539i	0.136508	−	0.990639i	$-0.456412\pi$
$937$	32.5292	−	18.7807i	1.06268	−	0.613539i	0.926173	+	0.377100i	$0.123079\pi$
$938$	−23.1133	+	13.1495i	−0.754676	+	0.429345i
$939$	11.1199	−	9.93622i	0.362884	−	0.324256i
$940$	−2.01576	+	11.4319i	−0.0657468	+	0.372869i
$941$	45.5038	−	16.5620i	1.48338	−	0.539907i	0.531684	−	0.846943i	$-0.321559\pi$
$941$	45.5038	−	16.5620i	1.48338	−	0.539907i	0.951698	+	0.307036i	$0.0993372\pi$
$942$	−16.5793	−	8.89627i	−0.540184	−	0.289856i
$943$	−25.7287	+	4.53666i	−0.837840	+	0.147734i
$944$	21.6622			0.705046
$945$	21.4126	+	45.9535i	0.696552	+	1.49487i
$946$	−34.3169			−1.11574
$947$	−17.7554	+	3.13075i	−0.576972	+	0.101736i	−0.454516	−	0.890738i	$-0.650188\pi$
$947$	−17.7554	+	3.13075i	−0.576972	+	0.101736i	−0.122455	+	0.992474i	$0.539077\pi$
$948$	2.00364	−	1.24146i	0.0650752	−	0.0403209i
$949$	0.446225	−	0.162413i	0.0144851	−	0.00527214i
$950$	−4.23682	+	24.0282i	−0.137461	+	0.779578i
$951$	30.3658	+	9.99405i	0.984680	+	0.324079i
$952$	−1.26791	−	0.742805i	−0.0410932	−	0.0240744i
$953$	−40.2343	+	23.2293i	−1.30332	+	0.752470i	−0.980971	−	0.194153i	$-0.937804\pi$
$953$	−40.2343	+	23.2293i	−1.30332	+	0.752470i	−0.322344	+	0.946622i	$0.604471\pi$
$954$	−23.2640	+	22.1270i	−0.753201	+	0.716388i
$955$			11.4226i			0.369627i
$956$	−4.79276	+	0.845093i	−0.155009	+	0.0273323i
$957$	25.8436	−	32.8207i	0.835404	−	1.06094i
$958$	24.7641	−	29.5127i	0.800092	−	0.953512i
$959$	−28.4631	+	4.83264i	−0.919122	+	0.156054i
$960$	35.0900	−	44.5635i	1.13253	−	1.43828i
$961$	−13.0470	+	10.9477i	−0.420870	+	0.353152i
$962$	−10.0641			−0.324480
$963$	−50.8248	−	25.2683i	−1.63781	−	0.814260i
$964$		−	8.97026i		−	0.288913i
$965$	−0.604360	−	3.42750i	−0.0194551	−	0.110335i
$966$	1.02619	+	41.4367i	0.0330172	+	1.33320i
$967$	25.3937	−	9.24257i	0.816608	−	0.297221i	0.100257	−	0.994962i	$-0.468033\pi$
$967$	25.3937	−	9.24257i	0.816608	−	0.297221i	0.716350	+	0.697741i	$0.245811\pi$
$968$	7.06506	−	8.41981i	0.227080	−	0.270623i
$969$	−0.705911	+	0.0219687i	−0.0226771	+	0.000705735i
$970$	11.3585	+	4.13414i	0.364698	+	0.132739i
$971$	−18.9174	+	32.7660i	−0.607089	+	1.05151i	0.384628	+	0.923072i	$0.374330\pi$
$971$	−18.9174	+	32.7660i	−0.607089	+	1.05151i	−0.991718	+	0.128438i	$0.959004\pi$
$972$	−2.77077	−	5.01662i	−0.0888724	−	0.160908i
$973$	12.8898	+	36.1267i	0.413229	+	1.15817i
$974$	−12.5893	−	15.0033i	−0.403387	−	0.480738i
$975$	−7.76423	−	12.5309i	−0.248654	−	0.401312i
$976$	−0.531894	−	1.46137i	−0.0170255	−	0.0467772i
$977$	5.59080	−	6.66286i	0.178866	−	0.213164i	−0.669161	−	0.743118i	$-0.733346\pi$
$977$	5.59080	−	6.66286i	0.178866	−	0.213164i	0.848027	+	0.529954i	$0.177791\pi$
$978$	4.99323	+	1.64338i	0.159666	+	0.0525494i
$979$	−32.1422	+	5.66754i	−1.02727	+	0.181135i
$980$	−8.87593	−	3.35885i	−0.283531	−	0.107294i
$981$	−17.4082	−	26.2362i	−0.555801	−	0.837656i
$982$	−2.92842	−	5.07217i	−0.0934496	−	0.161859i
$983$	5.01874	+	28.4627i	0.160073	+	0.907818i	0.954000	+	0.299806i	$0.0969218\pi$
$983$	5.01874	+	28.4627i	0.160073	+	0.907818i	−0.793928	+	0.608012i	$0.791967\pi$
$984$	2.76360	−	19.1367i	0.0881004	−	0.610056i
$985$	−4.43778	−	12.1927i	−0.141400	−	0.388492i
$986$	1.13299	+	0.950691i	0.0360817	+	0.0302762i
$987$	38.4608	−	7.76809i	1.22422	−	0.247261i
$988$	−0.759353	−	0.276382i	−0.0241582	−	0.00879288i
$989$	43.0484	−	24.8540i	1.36886	−	0.790311i
$990$	−12.6821	−	52.5619i	−0.403064	−	1.67053i
$991$	−4.23825	+	7.34087i	−0.134633	+	0.233190i	−0.925457	−	0.378853i	$-0.876319\pi$
$991$	−4.23825	+	7.34087i	−0.134633	+	0.233190i	0.790824	+	0.612043i	$0.209652\pi$
$992$	13.3606	+	4.86287i	0.424200	+	0.154396i
$993$	−16.6436	+	50.5699i	−0.528170	+	1.60479i
$994$	2.34923	+	13.8364i	0.0745129	+	0.438863i
$995$	−42.1281	−	7.42832i	−1.33555	−	0.235494i
$996$	−1.58080	−	0.848241i	−0.0500897	−	0.0268775i
$997$	9.78559	−	26.8857i	0.309913	−	0.851478i	−0.682760	−	0.730643i	$-0.739220\pi$
$997$	9.78559	−	26.8857i	0.309913	−	0.851478i	0.992673	−	0.120836i	$-0.0385574\pi$
$998$	−36.9162	+	21.3136i	−1.16856	+	0.674669i
$999$	33.7313	−	23.9252i	1.06721	−	0.756958i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.ba.a.5.7	✓	132
3.2	odd	2		567.2.ba.a.530.16		132
7.3	odd	6		189.2.bd.a.59.16	yes	132
21.17	even	6		567.2.bd.a.206.7		132
27.11	odd	18		189.2.bd.a.173.16	yes	132
27.16	even	9		567.2.bd.a.278.7		132
189.38	even	18	inner	189.2.ba.a.38.7	yes	132
189.178	odd	18		567.2.ba.a.521.16		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.5.7	✓	132	1.1	even	1	trivial
189.2.ba.a.38.7	yes	132	189.38	even	18	inner
189.2.bd.a.59.16	yes	132	7.3	odd	6
189.2.bd.a.173.16	yes	132	27.11	odd	18
567.2.ba.a.521.16		132	189.178	odd	18
567.2.ba.a.530.16		132	3.2	odd	2
567.2.bd.a.206.7		132	21.17	even	6
567.2.bd.a.278.7		132	27.16	even	9

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:	\( N \)	\(=\)	\( 189 = 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	189.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.25823 + 0.221860i) q^{2} +(0.0538771 + 1.73121i) q^{3} +(-0.345469 + 0.125740i) q^{4} +(0.640361 - 3.63167i) q^{5} +(-0.451876 - 2.16631i) q^{6} +(-1.30830 - 2.29964i) q^{7} +(2.61972 - 1.51249i) q^{8} +(-2.99419 + 0.186545i) q^{9} +4.71154i q^{10} +(3.76726 - 0.664269i) q^{11} +(-0.236296 - 0.591305i) q^{12} +(0.636198 - 0.758192i) q^{13} +(2.15634 + 2.60322i) q^{14} +(6.32169 + 0.912938i) q^{15} +(-2.39738 + 2.01164i) q^{16} +0.183607 q^{17} +(3.72599 - 0.899007i) q^{18} +2.22080i q^{19} +(0.235422 + 1.33515i) q^{20} +(3.91068 - 2.38884i) q^{21} +(-4.59270 + 1.67161i) q^{22} +(4.55059 - 5.42318i) q^{23} +(2.75959 + 4.45380i) q^{24} +(-8.08049 - 2.94106i) q^{25} +(-0.632271 + 1.09512i) q^{26} +(-0.484268 - 5.17354i) q^{27} +(0.741133 + 0.629949i) q^{28} +(-4.05267 - 4.82979i) q^{29} +(-8.15668 + 0.253844i) q^{30} +(-2.37037 - 6.51253i) q^{31} +(-1.31870 + 1.57156i) q^{32} +(1.35296 + 6.48614i) q^{33} +(-0.231020 + 0.0407350i) q^{34} +(-9.18932 + 3.27870i) q^{35} +(1.01094 - 0.440936i) q^{36} +(3.97936 + 6.89245i) q^{37} +(-0.492706 - 2.79428i) q^{38} +(1.34687 + 1.06055i) q^{39} +(-3.81531 - 10.4825i) q^{40} +(-2.82696 - 2.37210i) q^{41} +(-4.39055 + 3.87333i) q^{42} +(6.59799 + 2.40147i) q^{43} +(-1.21794 + 0.703180i) q^{44} +(-1.23989 + 10.9934i) q^{45} +(-4.52250 + 7.83320i) q^{46} +(8.04594 + 2.92848i) q^{47} +(-3.61175 - 4.04200i) q^{48} +(-3.57671 + 6.01724i) q^{49} +(10.8196 + 1.90779i) q^{50} +(0.00989222 + 0.317863i) q^{51} +(-0.124451 + 0.341927i) q^{52} +(-7.25426 + 4.18825i) q^{53} +(1.75712 + 6.40205i) q^{54} -14.1068i q^{55} +(-6.90556 - 4.04562i) q^{56} +(-3.84468 + 0.119650i) q^{57} +(6.17073 + 5.17785i) q^{58} +(-5.30241 - 4.44925i) q^{59} +(-2.29874 + 0.479500i) q^{60} +(-0.169958 + 0.466955i) q^{61} +(4.42733 + 7.66836i) q^{62} +(4.34629 + 6.64152i) q^{63} +(4.44012 - 7.69051i) q^{64} +(-2.34610 - 2.79598i) q^{65} +(-3.14135 - 7.86087i) q^{66} +(-1.36604 + 7.74720i) q^{67} +(-0.0634305 + 0.0230868i) q^{68} +(9.63386 + 7.58586i) q^{69} +(10.8349 - 6.16410i) q^{70} +(3.59557 + 2.07590i) q^{71} +(-7.56179 + 5.01740i) q^{72} +(0.415503 + 0.239891i) q^{73} +(-6.53610 - 7.78942i) q^{74} +(4.65625 - 14.1475i) q^{75} +(-0.279244 - 0.767217i) q^{76} +(-6.45628 - 7.79429i) q^{77} +(-1.92996 - 1.03559i) q^{78} +(0.642778 + 3.64537i) q^{79} +(5.77043 + 9.99468i) q^{80} +(8.93040 - 1.11711i) q^{81} +(4.08323 + 2.35745i) q^{82} +(2.15821 - 1.81096i) q^{83} +(-1.05064 + 1.31700i) q^{84} +(0.117575 - 0.666800i) q^{85} +(-8.83457 - 1.55777i) q^{86} +(8.14305 - 7.27626i) q^{87} +(8.86445 - 7.43815i) q^{88} -8.53199 q^{89} +(-0.878916 - 14.1073i) q^{90} +(-2.57591 - 0.471088i) q^{91} +(-0.890174 + 2.44573i) q^{92} +(11.1469 - 4.45448i) q^{93} +(-10.7733 - 1.89963i) q^{94} +(8.06522 + 1.42212i) q^{95} +(-2.79176 - 2.19827i) q^{96} +(0.877451 - 2.41078i) q^{97} +(3.16534 - 8.36458i) q^{98} +(-11.1560 + 2.69172i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Introduction

L-functions

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