LMFDB - Embedded newform 189.2.u.a.142.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [189,2,Mod(4,189)]

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([2, 12]))

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

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

chi := DirichletCharacter("189.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.u (of order $9$, 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 $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			142.4
Character	$\chi$	$=$	189.142
Dual form			189.2.u.a.4.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.324131 + 1.83824i) q^{2} +(0.743955 + 1.56414i) q^{3} +(-1.39467 - 0.507617i) q^{4} +(1.37479 + 0.500384i) q^{5} +(-3.11640 + 0.860580i) q^{6} +(-2.42382 - 1.06071i) q^{7} +(-0.481419 + 0.833843i) q^{8} +(-1.89306 + 2.32730i) q^{9} +(-1.36544 + 2.36501i) q^{10} +(4.29056 - 1.56163i) q^{11} +(-0.243586 - 2.55910i) q^{12} +(0.925783 + 0.336957i) q^{13} +(2.73547 - 4.11174i) q^{14} +(0.240115 + 2.52263i) q^{15} +(-3.65064 - 3.06325i) q^{16} +(0.620234 - 1.07428i) q^{17} +(-3.66453 - 4.23424i) q^{18} +(-0.718027 - 1.24366i) q^{19} +(-1.66338 - 1.39574i) q^{20} +(-0.144117 - 4.58031i) q^{21} +(1.47995 + 8.39323i) q^{22} +(0.165636 + 0.939366i) q^{23} +(-1.66240 - 0.132665i) q^{24} +(-2.19055 - 1.83809i) q^{25} +(-0.919482 + 1.59259i) q^{26} +(-5.04857 - 1.22960i) q^{27} +(2.84199 + 2.70971i) q^{28} +(5.18835 - 1.88840i) q^{29} +(-4.71503 - 0.376275i) q^{30} +(6.28413 + 2.28724i) q^{31} +(5.33911 - 4.48005i) q^{32} +(5.63460 + 5.54924i) q^{33} +(1.77374 + 1.48834i) q^{34} +(-2.80149 - 2.67110i) q^{35} +(3.82157 - 2.28486i) q^{36} -2.88764 q^{37} +(2.51887 - 0.916795i) q^{38} +(0.161693 + 1.69873i) q^{39} +(-1.07909 + 0.905468i) q^{40} +(11.1576 + 4.06104i) q^{41} +(8.46640 + 1.21970i) q^{42} +(0.559660 - 3.17399i) q^{43} -6.77661 q^{44} +(-3.76711 + 2.25230i) q^{45} -1.78046 q^{46} +(-10.6381 + 3.87197i) q^{47} +(2.07544 - 7.98904i) q^{48} +(4.74979 + 5.14193i) q^{49} +(4.08886 - 3.43096i) q^{50} +(2.14175 + 0.170918i) q^{51} +(-1.12011 - 0.939887i) q^{52} +(2.32509 + 4.02717i) q^{53} +(3.89670 - 8.88191i) q^{54} +6.68005 q^{55} +(2.05134 - 1.51044i) q^{56} +(1.41108 - 2.04832i) q^{57} +(1.78963 + 10.1495i) q^{58} +(-4.83431 + 4.05647i) q^{59} +(0.945652 - 3.64012i) q^{60} +(-4.93482 + 1.79613i) q^{61} +(-6.24136 + 10.8104i) q^{62} +(7.05702 - 3.63296i) q^{63} +(1.73924 + 3.01245i) q^{64} +(1.10415 + 0.926495i) q^{65} +(-12.0272 + 8.55904i) q^{66} +(-2.28146 - 12.9388i) q^{67} +(-1.41034 + 1.18342i) q^{68} +(-1.34607 + 0.957924i) q^{69} +(5.81816 - 4.28402i) q^{70} +(-5.80593 - 10.0562i) q^{71} +(-1.02924 - 2.69892i) q^{72} +9.93018 q^{73} +(0.935973 - 5.30816i) q^{74} +(1.24535 - 4.79377i) q^{75} +(0.370105 + 2.09897i) q^{76} +(-12.0560 - 0.765911i) q^{77} +(-3.17508 - 0.253382i) q^{78} +(2.45710 - 13.9349i) q^{79} +(-3.48608 - 6.03807i) q^{80} +(-1.83264 - 8.81144i) q^{81} +(-11.0817 + 19.1940i) q^{82} +(-7.82112 + 2.84665i) q^{83} +(-2.12405 + 6.46116i) q^{84} +(1.39025 - 1.16656i) q^{85} +(5.65314 + 2.05757i) q^{86} +(6.81363 + 6.71041i) q^{87} +(-0.763399 + 4.32945i) q^{88} +(0.307487 + 0.532584i) q^{89} +(-2.91922 - 7.65489i) q^{90} +(-1.88652 - 1.79871i) q^{91} +(0.245832 - 1.39418i) q^{92} +(1.09756 + 11.5309i) q^{93} +(-3.66944 - 20.8104i) q^{94} +(-0.364832 - 2.06907i) q^{95} +(10.9795 + 5.01816i) q^{96} +(-0.991251 + 5.62167i) q^{97} +(-10.9916 + 7.06459i) q^{98} +(-4.48790 + 12.9417i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9} + 3 q^{10} - 15 q^{11} - 3 q^{12} - 12 q^{13} - 30 q^{14} + 9 q^{16} + 27 q^{17} - 3 q^{18} + 3 q^{19} - 18 q^{20}+ \cdots + 24 q^{99}+O(q^{100}) $ 132 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 18 * q^6 - 6 * q^7 - 6 * q^8 - 15 * q^9 + 3 * q^10 - 15 * q^11 - 3 * q^12 - 12 * q^13 - 30 * q^14 + 9 * q^16 + 27 * q^17 - 3 * q^18 + 3 * q^19 - 18 * q^20 + 15 * q^21 - 12 * q^22 - 36 * q^23 - 72 * q^24 - 3 * q^25 + 30 * q^26 - 12 * q^27 - 12 * q^28 - 30 * q^29 - 3 * q^30 - 3 * q^31 - 75 * q^32 + 15 * q^33 - 18 * q^34 + 15 * q^35 - 60 * q^36 - 6 * q^37 + 69 * q^38 + 51 * q^39 + 51 * q^40 - 39 * q^42 - 12 * q^43 - 6 * q^44 - 21 * q^45 - 6 * q^46 - 21 * q^47 + 90 * q^48 - 42 * q^49 - 39 * q^50 + 33 * q^51 + 9 * q^52 + 9 * q^53 - 9 * q^54 - 24 * q^55 + 111 * q^56 - 18 * q^57 - 3 * q^58 + 27 * q^59 - 63 * q^60 - 21 * q^61 + 75 * q^62 + 63 * q^63 - 30 * q^64 - 90 * q^65 - 3 * q^66 - 3 * q^67 - 30 * q^68 - 6 * q^69 + 39 * q^70 - 18 * q^71 + 183 * q^72 - 42 * q^73 + 51 * q^74 - 45 * q^75 - 24 * q^76 + 15 * q^77 - 30 * q^78 + 15 * q^79 + 102 * q^80 - 87 * q^81 - 6 * q^82 - 42 * q^83 + 135 * q^84 - 63 * q^85 - 93 * q^86 + 75 * q^87 - 51 * q^88 + 75 * q^89 - 39 * q^90 - 21 * q^91 - 66 * q^92 + 81 * q^93 + 33 * q^94 + 15 * q^95 - 171 * q^96 - 12 * q^97 - 36 * q^98 + 24 * q^99

Character values

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

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−0.324131	+	1.83824i	−0.229195	+	1.29983i	0.625306	+	0.780380i	$0.284974\pi$
$2$	−0.324131	+	1.83824i	−0.229195	+	1.29983i	−0.854501	+	0.519450i	$0.826137\pi$
$3$	0.743955	+	1.56414i	0.429523	+	0.903056i
$3$	0.743955	+	1.56414i	0.429523	+	0.903056i
$4$	−1.39467	−	0.507617i	−0.697333	−	0.253809i
$5$	1.37479	+	0.500384i	0.614827	+	0.223779i	0.630614	−	0.776097i	$-0.282803\pi$
$5$	1.37479	+	0.500384i	0.614827	+	0.223779i	−0.0157870	+	0.999875i	$0.505025\pi$
$6$	−3.11640	+	0.860580i	−1.27226	+	0.351330i
$7$	−2.42382	−	1.06071i	−0.916117	−	0.400910i
$7$	−2.42382	−	1.06071i	−0.916117	−	0.400910i
$8$	−0.481419	+	0.833843i	−0.170207	+	0.294808i
$9$	−1.89306	+	2.32730i	−0.631020	+	0.775766i
$10$	−1.36544	+	2.36501i	−0.431789	+	0.747881i
$11$	4.29056	−	1.56163i	1.29365	−	0.470851i	0.398727	−	0.917069i	$-0.369452\pi$
$11$	4.29056	−	1.56163i	1.29365	−	0.470851i	0.894924	+	0.446219i	$0.147230\pi$
$12$	−0.243586	−	2.55910i	−0.0703172	−	0.738748i
$13$	0.925783	+	0.336957i	0.256766	+	0.0934552i	0.467196	−	0.884154i	$-0.345264\pi$
$13$	0.925783	+	0.336957i	0.256766	+	0.0934552i	−0.210430	+	0.977609i	$0.567486\pi$
$14$	2.73547	−	4.11174i	0.731084	−	1.09891i
$15$	0.240115	+	2.52263i	0.0619974	+	0.651341i
$16$	−3.65064	−	3.06325i	−0.912661	−	0.765813i
$17$	0.620234	−	1.07428i	0.150429	−	0.260550i	−0.780956	−	0.624586i	$-0.785268\pi$
$17$	0.620234	−	1.07428i	0.150429	−	0.260550i	0.931385	+	0.364035i	$0.118601\pi$
$18$	−3.66453	−	4.23424i	−0.863737	−	0.998021i
$19$	−0.718027	−	1.24366i	−0.164727	−	0.285315i	0.771832	−	0.635827i	$-0.219341\pi$
$19$	−0.718027	−	1.24366i	−0.164727	−	0.285315i	−0.936558	+	0.350512i	$0.886008\pi$
$20$	−1.66338	−	1.39574i	−0.371942	−	0.312097i
$21$	−0.144117	−	4.58031i	−0.0314488	−	0.999505i
$22$	1.47995	+	8.39323i	0.315527	+	1.78944i
$23$	0.165636	+	0.939366i	0.0345374	+	0.195871i	0.997195	−	0.0748517i	$-0.0238483\pi$
$23$	0.165636	+	0.939366i	0.0345374	+	0.195871i	−0.962657	+	0.270723i	$0.912737\pi$
$24$	−1.66240	−	0.132665i	−0.339336	−	0.0270801i
$25$	−2.19055	−	1.83809i	−0.438109	−	0.367617i
$26$	−0.919482	+	1.59259i	−0.180325	+	0.312333i
$27$	−5.04857	−	1.22960i	−0.971598	−	0.236638i
$28$	2.84199	+	2.70971i	0.537085	+	0.512087i
$29$	5.18835	−	1.88840i	0.963452	−	0.350668i	0.188067	−	0.982156i	$-0.439778\pi$
$29$	5.18835	−	1.88840i	0.963452	−	0.350668i	0.775385	+	0.631488i	$0.217556\pi$
$30$	−4.71503	−	0.376275i	−0.860842	−	0.0686981i
$31$	6.28413	+	2.28724i	1.12866	+	0.410800i	0.837807	−	0.545967i	$-0.183837\pi$
$31$	6.28413	+	2.28724i	1.12866	+	0.410800i	0.290857	+	0.956767i	$0.406060\pi$
$32$	5.33911	−	4.48005i	0.943831	−	0.791968i
$33$	5.63460	+	5.54924i	0.980857	+	0.965999i
$34$	1.77374	+	1.48834i	0.304194	+	0.255249i
$35$	−2.80149	−	2.67110i	−0.473538	−	0.451498i
$36$	3.82157	−	2.28486i	0.636928	−	0.380809i
$37$	−2.88764			−0.474725			−0.237363	−	0.971421i	$-0.576283\pi$
$37$	−2.88764			−0.474725			−0.237363	+	0.971421i	$0.576283\pi$
$38$	2.51887	−	0.916795i	0.408615	−	0.148724i
$39$	0.161693	+	1.69873i	0.0258916	+	0.272015i
$40$	−1.07909	+	0.905468i	−0.170620	+	0.143167i
$41$	11.1576	+	4.06104i	1.74253	+	0.634227i	0.999390	−	0.0349137i	$-0.0111156\pi$
$41$	11.1576	+	4.06104i	1.74253	+	0.634227i	0.743135	+	0.669141i	$0.233338\pi$
$42$	8.46640	+	1.21970i	1.30639	+	0.188204i
$43$	0.559660	−	3.17399i	0.0853473	−	0.484029i	−0.911934	−	0.410337i	$-0.865411\pi$
$43$	0.559660	−	3.17399i	0.0853473	−	0.484029i	0.997281	−	0.0736913i	$-0.0234780\pi$
$44$	−6.77661			−1.02161
$45$	−3.76711	+	2.25230i	−0.561568	+	0.335753i
$46$	−1.78046			−0.262515
$47$	−10.6381	+	3.87197i	−1.55173	+	0.564785i	−0.968823	−	0.247753i	$-0.920308\pi$
$47$	−10.6381	+	3.87197i	−1.55173	+	0.564785i	−0.582909	+	0.812537i	$0.698086\pi$
$48$	2.07544	−	7.98904i	0.299564	−	1.15312i
$49$	4.74979	+	5.14193i	0.678542	+	0.734562i
$50$	4.08886	−	3.43096i	0.578252	−	0.485211i
$51$	2.14175	+	0.170918i	0.299904	+	0.0239334i
$52$	−1.12011	−	0.939887i	−0.155332	−	0.130339i
$53$	2.32509	+	4.02717i	0.319376	+	0.553175i	0.980358	−	0.197227i	$-0.0631935\pi$
$53$	2.32509	+	4.02717i	0.319376	+	0.553175i	−0.660982	+	0.750402i	$0.729860\pi$
$54$	3.89670	−	8.88191i	0.530274	−	1.20868i
$55$	6.68005			0.900738
$56$	2.05134	−	1.51044i	0.274122	−	0.201841i
$57$	1.41108	−	2.04832i	0.186902	−	0.271307i
$58$	1.78963	+	10.1495i	0.234990	+	1.33269i
$59$	−4.83431	+	4.05647i	−0.629374	+	0.528108i	−0.900734	−	0.434370i	$-0.856971\pi$
$59$	−4.83431	+	4.05647i	−0.629374	+	0.528108i	0.271360	+	0.962478i	$0.412527\pi$
$60$	0.945652	−	3.64012i	0.122083	−	0.469938i
$61$	−4.93482	+	1.79613i	−0.631839	+	0.229970i	−0.638031	−	0.770010i	$-0.720251\pi$
$61$	−4.93482	+	1.79613i	−0.631839	+	0.229970i	0.00619278	+	0.999981i	$0.498029\pi$
$62$	−6.24136	+	10.8104i	−0.792654	+	1.37292i
$63$	7.05702	−	3.63296i	0.889101	−	0.457710i
$64$	1.73924	+	3.01245i	0.217405	+	0.376557i
$65$	1.10415	+	0.926495i	0.136953	+	0.114918i
$66$	−12.0272	+	8.55904i	−1.48044	+	1.05354i
$67$	−2.28146	−	12.9388i	−0.278725	−	1.58073i	−0.726875	−	0.686770i	$-0.759028\pi$
$67$	−2.28146	−	12.9388i	−0.278725	−	1.58073i	0.448150	−	0.893958i	$-0.352083\pi$
$68$	−1.41034	+	1.18342i	−0.171029	+	0.143510i
$69$	−1.34607	+	0.957924i	−0.162048	+	0.115320i
$70$	5.81816	−	4.28402i	0.695403	−	0.512038i
$71$	−5.80593	−	10.0562i	−0.689037	−	1.19345i	−0.972150	−	0.234360i	$-0.924701\pi$
$71$	−5.80593	−	10.0562i	−0.689037	−	1.19345i	0.283113	−	0.959087i	$-0.408633\pi$
$72$	−1.02924	−	2.69892i	−0.121298	−	0.318071i
$73$	9.93018			1.16224			0.581120	−	0.813818i	$-0.302615\pi$
$73$	9.93018			1.16224			0.581120	+	0.813818i	$0.302615\pi$
$74$	0.935973	−	5.30816i	0.108805	−	0.617062i
$75$	1.24535	−	4.79377i	0.143801	−	0.553537i
$76$	0.370105	+	2.09897i	0.0424540	+	0.240769i
$77$	−12.0560	−	0.765911i	−1.37391	−	0.0872837i
$78$	−3.17508	−	0.253382i	−0.359508	−	0.0286899i
$79$	2.45710	−	13.9349i	0.276445	−	1.56780i	−0.457887	−	0.889010i	$-0.651394\pi$
$79$	2.45710	−	13.9349i	0.276445	−	1.56780i	0.734333	−	0.678790i	$-0.237495\pi$
$80$	−3.48608	−	6.03807i	−0.389756	−	0.675077i
$81$	−1.83264	−	8.81144i	−0.203626	−	0.979049i
$82$	−11.0817	+	19.1940i	−1.22377	+	2.11962i
$83$	−7.82112	+	2.84665i	−0.858479	+	0.312461i	−0.733493	−	0.679697i	$-0.762111\pi$
$83$	−7.82112	+	2.84665i	−0.858479	+	0.312461i	−0.124987	+	0.992158i	$0.539889\pi$
$84$	−2.12405	+	6.46116i	−0.231753	+	0.704970i
$85$	1.39025	−	1.16656i	0.150793	−	0.126531i
$86$	5.65314	+	2.05757i	0.609594	+	0.221874i
$87$	6.81363	+	6.71041i	0.730497	+	0.719431i
$88$	−0.763399	+	4.32945i	−0.0813786	+	0.461521i
$89$	0.307487	+	0.532584i	0.0325936	+	0.0564538i	0.881862	−	0.471507i	$-0.156290\pi$
$89$	0.307487	+	0.532584i	0.0325936	+	0.0564538i	−0.849268	+	0.527961i	$0.822957\pi$
$90$	−2.91922	−	7.65489i	−0.307713	−	0.806896i
$91$	−1.88652	−	1.79871i	−0.197761	−	0.188556i
$92$	0.245832	−	1.39418i	0.0256298	−	0.145354i
$93$	1.09756	+	11.5309i	0.113811	+	1.19569i
$94$	−3.66944	−	20.8104i	−0.378474	−	2.14643i
$95$	−0.364832	−	2.06907i	−0.0374310	−	0.212282i
$96$	10.9795	+	5.01816i	1.12059	+	0.512164i
$97$	−0.991251	+	5.62167i	−0.100646	+	0.570794i	0.892224	+	0.451593i	$0.149144\pi$
$97$	−0.991251	+	5.62167i	−0.100646	+	0.570794i	−0.992870	+	0.119200i	$0.961967\pi$
$98$	−10.9916	+	7.06459i	−1.11032	+	0.713631i
$99$	−4.48790	+	12.9417i	−0.451050	+	1.30069i
$100$	2.12204	+	3.67548i	0.212204	+	0.367548i
$101$	−2.05653	+	11.6632i	−0.204632	+	1.16053i	0.693385	+	0.720567i	$0.256119\pi$
$101$	−2.05653	+	11.6632i	−0.204632	+	1.16053i	−0.898017	+	0.439960i	$0.854993\pi$
$102$	−1.00839	+	3.88163i	−0.0998458	+	0.384339i
$103$	−12.0593	−	4.38923i	−1.18824	−	0.432484i	−0.329134	−	0.944283i	$-0.606757\pi$
$103$	−12.0593	−	4.38923i	−1.18824	−	0.432484i	−0.859105	+	0.511800i	$0.828979\pi$
$104$	−0.726659	+	0.609740i	−0.0712548	+	0.0597899i
$105$	2.09378	−	6.36910i	0.204332	−	0.621560i
$106$	−8.15653	+	2.96873i	−0.792232	+	0.288349i
$107$	5.52411	−	9.56804i	0.534036	−	0.924977i	−0.465173	−	0.885220i	$-0.654008\pi$
$107$	5.52411	−	9.56804i	0.534036	−	0.924977i	0.999209	−	0.0397577i	$-0.0126586\pi$
$108$	6.41691	+	4.27763i	0.617467	+	0.411615i
$109$	−9.52408	−	16.4962i	−0.912242	−	1.58005i	−0.810890	−	0.585198i	$-0.801017\pi$
$109$	−9.52408	−	16.4962i	−0.912242	−	1.58005i	−0.101352	−	0.994851i	$-0.532317\pi$
$110$	−2.16521	+	12.2795i	−0.206445	+	1.17081i
$111$	−2.14827	−	4.51667i	−0.203905	−	0.428703i
$112$	5.59928	+	11.2970i	0.529082	+	1.06747i
$113$	1.36095	+	7.71833i	0.128027	+	0.726080i	0.979464	+	0.201621i	$0.0646210\pi$
$113$	1.36095	+	7.71833i	0.128027	+	0.726080i	−0.851436	+	0.524458i	$0.824268\pi$
$114$	3.30792	+	3.25781i	0.309815	+	0.305122i
$115$	−0.242329	+	1.37432i	−0.0225973	+	0.128156i
$116$	−8.19460			−0.760850
$117$	−2.53676	+	1.51669i	−0.234524	+	0.140218i
$118$	−5.88980	−	10.2014i	−0.542200	−	0.939119i
$119$	−2.64283	+	1.94596i	−0.242268	+	0.178386i
$120$	−2.21908	−	1.01423i	−0.202573	−	0.0925858i
$121$	7.54368	−	6.32990i	0.685789	−	0.575445i
$122$	−1.70218	−	9.65354i	−0.154108	−	0.873990i
$123$	1.94873	+	20.4733i	0.175711	+	1.84601i
$124$	−7.60323	−	6.37987i	−0.682790	−	0.572929i
$125$	−5.74937	−	9.95820i	−0.514239	−	0.890688i
$126$	4.39085	+	14.1500i	0.391168	+	1.26058i
$127$	−6.35187	+	11.0018i	−0.563637	+	0.976249i	0.433538	+	0.901136i	$0.357265\pi$
$127$	−6.35187	+	11.0018i	−0.563637	+	0.976249i	−0.997175	+	0.0751132i	$0.976068\pi$
$128$	6.99744	−	2.54686i	0.618492	−	0.225113i
$129$	5.38092	−	1.48592i	0.473764	−	0.130828i
$130$	−2.06101	+	1.72939i	−0.180762	+	0.151677i
$131$	−1.45783	−	8.26775i	−0.127371	−	0.722357i	−0.979871	−	0.199630i	$-0.936026\pi$
$131$	−1.45783	−	8.26775i	−0.127371	−	0.722357i	0.852500	−	0.522727i	$-0.175085\pi$
$132$	−5.04149	−	10.5996i	−0.438806	−	0.922573i
$133$	0.421207	+	3.77602i	0.0365233	+	0.327423i
$134$	24.5241			2.11856
$135$	−6.32547	−	4.21668i	−0.544410	−	0.362914i
$136$	0.597185	+	1.03436i	0.0512082	+	0.0886953i
$137$	−1.77965	−	1.49330i	−0.152046	−	0.127581i	0.563592	−	0.826054i	$-0.309419\pi$
$137$	−1.77965	−	1.49330i	−0.152046	−	0.127581i	−0.715637	+	0.698472i	$0.753864\pi$
$138$	−1.32459	−	2.78489i	−0.112756	−	0.237066i
$139$	16.4618	−	13.8131i	1.39627	−	1.17161i	0.433546	−	0.901131i	$-0.357262\pi$
$139$	16.4618	−	13.8131i	1.39627	−	1.17161i	0.962726	−	0.270480i	$-0.0871824\pi$
$140$	2.55125	+	5.14738i	0.215620	+	0.435033i
$141$	−13.9706	−	13.7590i	−1.17654	−	1.15871i
$142$	20.3675	−	7.41316i	1.70920	−	0.622098i
$143$	4.49833			0.376169
$144$	14.0400	−	2.69721i	1.17000	−	0.224768i
$145$	8.07784			0.670828
$146$	−3.21868	+	18.2540i	−0.266380	+	1.51071i
$147$	−4.50906	+	11.2547i	−0.371901	+	0.928272i
$148$	4.02730	+	1.46582i	0.331042	+	0.120489i
$149$	3.36481	−	2.82341i	0.275656	−	0.231303i	−0.494470	−	0.869195i	$-0.664638\pi$
$149$	3.36481	−	2.82341i	0.275656	−	0.231303i	0.770126	+	0.637892i	$0.220193\pi$
$150$	8.40843	+	3.84306i	0.686545	+	0.313785i
$151$	−13.9287	+	5.06965i	−1.13351	+	0.412562i	−0.839564	−	0.543261i	$-0.817189\pi$
$151$	−13.9287	+	5.06965i	−1.13351	+	0.412562i	−0.293942	+	0.955823i	$0.594967\pi$
$152$	1.38269			0.112151
$153$	1.32602	+	3.47714i	0.107203	+	0.281110i
$154$	5.31564	−	21.9135i	0.428346	−	1.76584i
$155$	7.49490	+	6.28896i	0.602005	+	0.505142i
$156$	0.636799	−	2.45125i	0.0509847	−	0.196257i
$157$	0.289738	−	0.243119i	0.0231236	−	0.0194030i	−0.631153	−	0.775659i	$-0.717418\pi$
$157$	0.289738	−	0.243119i	0.0231236	−	0.0194030i	0.654276	+	0.756256i	$0.272973\pi$
$158$	24.8192	+	9.03346i	1.97451	+	0.718664i
$159$	−4.56930	+	6.63280i	−0.362369	+	0.526015i
$160$	9.58193	−	3.48754i	0.757518	−	0.275714i
$161$	0.594923	−	2.45254i	0.0468865	−	0.193288i
$162$	16.7915	−	0.512764i	1.31927	−	0.0402866i
$163$	−2.58086	+	4.47018i	−0.202148	+	0.350131i	−0.949220	−	0.314612i	$-0.898126\pi$
$163$	−2.58086	+	4.47018i	−0.202148	+	0.350131i	0.747072	+	0.664743i	$0.231459\pi$
$164$	−13.4997	−	11.3276i	−1.05415	−	0.884536i
$165$	4.96966	+	10.4485i	0.386887	+	0.813417i
$166$	−2.69776	−	15.2998i	−0.209387	−	1.18749i
$167$	−1.88838	−	10.7095i	−0.146127	−	0.828727i	−0.966455	−	0.256834i	$-0.917321\pi$
$167$	−1.88838	−	10.7095i	−0.146127	−	0.828727i	0.820329	−	0.571893i	$-0.193791\pi$
$168$	3.88864	+	2.08488i	0.300015	+	0.160852i
$169$	−9.21504	−	7.73234i	−0.708850	−	0.594795i
$170$	1.69378	+	2.93372i	0.129907	+	0.225006i
$171$	4.25363	+	0.683260i	0.325284	+	0.0522502i
$172$	−2.39171	+	4.14256i	−0.182366	+	0.315868i
$173$	9.27634	+	7.78377i	0.705267	+	0.591789i	0.923267	−	0.384160i	$-0.125509\pi$
$173$	9.27634	+	7.78377i	0.705267	+	0.591789i	−0.218000	+	0.975949i	$0.569953\pi$
$174$	−14.5438	+	10.3500i	−1.10256	+	0.784632i
$175$	3.35981	+	6.77872i	0.253978	+	0.512423i
$176$	−20.4470	−	7.44209i	−1.54125	−	0.560969i
$177$	−9.94140	−	4.54371i	−0.747241	−	0.341526i
$178$	−1.07868	+	0.392608i	−0.0808505	+	0.0294272i
$179$	−6.18889	+	10.7195i	−0.462579	+	0.801211i	−0.999089	−	0.0426837i	$-0.986409\pi$
$179$	−6.18889	+	10.7195i	−0.462579	+	0.801211i	0.536510	+	0.843894i	$0.319743\pi$
$180$	6.39718	−	1.22896i	0.476817	−	0.0916009i
$181$	−7.93495	+	13.7437i	−0.589800	+	1.02156i	0.404458	+	0.914557i	$0.367460\pi$
$181$	−7.93495	+	13.7437i	−0.589800	+	1.02156i	−0.994258	+	0.107007i	$0.965873\pi$
$182$	3.91793	−	2.88485i	0.290416	−	0.213839i
$183$	−6.48067	−	6.38250i	−0.479065	−	0.471808i
$184$	−0.863024	−	0.314115i	−0.0636230	−	0.0231569i
$185$	−3.96991	−	1.44493i	−0.291874	−	0.106233i
$186$	−21.5522	−	1.71994i	−1.58028	−	0.126112i
$187$	0.983521	−	5.57783i	0.0719222	−	0.407891i
$188$	16.8021			1.22542
$189$	10.9326	+	8.33540i	0.795227	+	0.606311i
$190$	3.92168			0.284509
$191$	−2.63991	+	14.9717i	−0.191017	+	1.08331i	0.726960	+	0.686680i	$0.240932\pi$
$191$	−2.63991	+	14.9717i	−0.191017	+	1.08331i	−0.917977	+	0.396633i	$0.870179\pi$
$192$	−3.41798	+	4.96155i	−0.246671	+	0.358069i
$193$	17.6672	+	6.43032i	1.27171	+	0.462865i	0.887682	−	0.460456i	$-0.152314\pi$
$193$	17.6672	+	6.43032i	1.27171	+	0.462865i	0.384028	+	0.923321i	$0.374536\pi$
$194$	−10.0127	−	3.64431i	−0.718867	−	0.261646i
$195$	−0.627726	+	2.41632i	−0.0449524	+	0.173036i
$196$	−4.01425	−	9.58236i	−0.286732	−	0.684454i
$197$	0.130567	−	0.226149i	0.00930255	−	0.0161125i	−0.861337	−	0.508035i	$-0.830372\pi$
$197$	0.130567	−	0.226149i	0.00930255	−	0.0161125i	0.870639	+	0.491922i	$0.163706\pi$
$198$	−22.3352	−	12.4446i	−1.58729	−	0.884400i
$199$	0.818784	−	1.41818i	0.0580421	−	0.100532i	−0.835544	−	0.549423i	$-0.814848\pi$
$199$	0.818784	−	1.41818i	0.0580421	−	0.100532i	0.893586	+	0.448891i	$0.148181\pi$
$200$	2.58725	−	0.941681i	0.182946	−	0.0665869i
$201$	18.5408	−	13.1944i	1.30777	−	0.930663i
$202$	−20.7731	−	7.56077i	−1.46159	−	0.531974i
$203$	−14.5787	−	0.926177i	−1.02322	−	0.0650049i
$204$	−2.90026	−	1.32556i	−0.203059	−	0.0928078i
$205$	13.3073	+	11.1662i	0.929425	+	0.779880i
$206$	11.9772	−	20.7452i	0.834493	−	1.44538i
$207$	−2.49974	−	1.39279i	−0.173744	−	0.0968059i
$208$	−2.34752	−	4.06602i	−0.162771	−	0.281928i
$209$	−5.02288	−	4.21469i	−0.347440	−	0.291536i
$210$	11.0292	+	5.91329i	0.761091	+	0.408056i
$211$	1.10692	+	6.27765i	0.0762034	+	0.432171i	0.998910	+	0.0466690i	$0.0148606\pi$
$211$	1.10692	+	6.27765i	0.0762034	+	0.432171i	−0.922707	+	0.385502i	$0.874028\pi$
$212$	−1.19846	−	6.79682i	−0.0823108	−	0.466808i
$213$	11.4099	−	16.5626i	0.781792	−	1.13485i
$214$	15.7978	+	13.2559i	1.07991	+	0.906156i
$215$	2.35763	−	4.08354i	0.160789	−	0.278495i
$216$	3.45578	−	3.61776i	0.235136	−	0.246157i
$217$	−12.8055	−	12.2095i	−0.869294	−	0.828834i
$218$	33.4110	−	12.1606i	2.26288	−	0.823619i
$219$	7.38761	+	15.5322i	0.499209	+	1.04957i
$220$	−9.31645	−	3.39091i	−0.628115	−	0.228615i
$221$	0.936188	−	0.785555i	0.0629748	−	0.0528421i
$222$	8.99903	−	2.48505i	0.603975	−	0.166785i
$223$	4.42813	+	3.71564i	0.296529	+	0.248818i	0.778898	−	0.627151i	$-0.215779\pi$
$223$	4.42813	+	3.71564i	0.296529	+	0.248818i	−0.482369	+	0.875968i	$0.660223\pi$
$224$	−17.6931	+	5.19558i	−1.18217	+	0.347144i
$225$	8.42461	−	1.61844i	0.561641	−	0.107896i
$226$	−14.6292			−0.973123
$227$	−12.0490	+	4.38547i	−0.799718	+	0.291074i	−0.709370	−	0.704837i	$-0.751020\pi$
$227$	−12.0490	+	4.38547i	−0.799718	+	0.291074i	−0.0903484	+	0.995910i	$0.528798\pi$
$228$	−3.00774	+	2.14044i	−0.199193	+	0.141754i
$229$	−4.48966	+	3.76727i	−0.296685	+	0.248948i	−0.778963	−	0.627070i	$-0.784254\pi$
$229$	−4.48966	+	3.76727i	−0.296685	+	0.248948i	0.482278	+	0.876018i	$0.339810\pi$
$230$	−2.44777	−	0.890917i	−0.161401	−	0.0587453i
$231$	−7.77111	−	19.4270i	−0.511301	−	1.27820i
$232$	−0.923139	+	5.23538i	−0.0606070	+	0.343720i
$233$	0.971513			0.0636459			0.0318230	−	0.999494i	$-0.489869\pi$
$233$	0.971513			0.0636459			0.0318230	+	0.999494i	$0.489869\pi$
$234$	−1.96580	−	5.15478i	−0.128508	−	0.336978i
$235$	−16.5627			−1.08043
$236$	8.80139	−	3.20345i	0.572922	−	0.208527i
$237$	23.6241	−	6.52370i	1.53455	−	0.423760i
$238$	−2.72052	−	5.48889i	−0.176345	−	0.355792i
$239$	−18.1999	+	15.2715i	−1.17726	+	0.987834i	−0.177262	+	0.984164i	$0.556724\pi$
$239$	−18.1999	+	15.2715i	−1.17726	+	0.987834i	−0.999993	+	0.00367051i	$0.998832\pi$
$240$	6.85089	−	9.94477i	0.442223	−	0.641932i
$241$	−0.219263	−	0.183983i	−0.0141239	−	0.0118514i	0.635698	−	0.771938i	$-0.280712\pi$
$241$	−0.219263	−	0.183983i	−0.0141239	−	0.0118514i	−0.649822	+	0.760086i	$0.725157\pi$
$242$	9.19071	+	15.9188i	0.590801	+	1.02330i
$243$	12.4189	−	9.42182i	0.796674	−	0.604410i
$244$	7.79417			0.498971
$245$	3.95705	+	9.44582i	0.252807	+	0.603472i
$246$	−38.2664	−	3.05378i	−2.43977	−	0.194702i
$247$	−0.245677	−	1.39330i	−0.0156320	−	0.0886537i
$248$	−4.93250	+	4.13886i	−0.313214	+	0.262818i
$249$	−10.2711	−	10.1155i	−0.650906	−	0.641046i
$250$	20.1691	−	7.34094i	1.27560	−	0.464282i
$251$	3.91719	−	6.78477i	0.247251	−	0.428251i	−0.715511	−	0.698601i	$-0.753806\pi$
$251$	3.91719	−	6.78477i	0.247251	−	0.428251i	0.962762	+	0.270350i	$0.0871395\pi$
$252$	−11.6864	+	1.48451i	−0.736171	+	0.0935151i
$253$	2.17762	+	3.77174i	0.136906	+	0.237127i
$254$	−18.1650	−	15.2423i	−1.13977	−	0.956384i
$255$	2.85894	+	1.30667i	0.179033	+	0.0818271i
$256$	3.62171	+	20.5397i	0.226357	+	1.28373i
$257$	−7.40124	+	6.21038i	−0.461677	+	0.387393i	−0.843748	−	0.536740i	$-0.819656\pi$
$257$	−7.40124	+	6.21038i	−0.461677	+	0.387393i	0.382071	+	0.924133i	$0.375211\pi$
$258$	0.987350	+	10.3730i	0.0614697	+	0.645797i
$259$	6.99912	+	3.06295i	0.434904	+	0.190322i
$260$	−1.06962	−	1.85264i	−0.0663351	−	0.114896i
$261$	−5.42698	+	15.6497i	−0.335922	+	0.968692i
$262$	15.6706			0.968134
$263$	3.18277	−	18.0504i	0.196258	−	1.11304i	−0.714358	−	0.699781i	$-0.753281\pi$
$263$	3.18277	−	18.0504i	0.196258	−	1.11304i	0.910616	−	0.413254i	$-0.135608\pi$
$264$	−7.33980	+	2.02686i	−0.451733	+	0.124744i
$265$	1.18139	+	6.69998i	0.0725720	+	0.411576i
$266$	−7.07774	−	0.449647i	−0.433964	−	0.0275696i
$267$	−0.604278	+	0.877171i	−0.0369812	+	0.0536820i
$268$	−3.38609	+	19.2035i	−0.206838	+	1.17304i
$269$	2.28434	+	3.95659i	0.139279	+	0.241238i	0.927224	−	0.374508i	$-0.122188\pi$
$269$	2.28434	+	3.95659i	0.139279	+	0.241238i	−0.787945	+	0.615745i	$0.788855\pi$
$270$	9.80154	−	10.2610i	0.596503	−	0.624462i
$271$	−6.60709	+	11.4438i	−0.401352	+	0.695162i	−0.993889	−	0.110381i	$-0.964793\pi$
$271$	−6.60709	+	11.4438i	−0.401352	+	0.695162i	0.592537	+	0.805543i	$0.298126\pi$
$272$	−5.55504	+	2.02187i	−0.336824	+	0.122594i
$273$	1.40995	−	4.28893i	0.0853340	−	0.259578i
$274$	3.32188	−	2.78739i	0.200682	−	0.168392i
$275$	−12.2691	−	4.46558i	−0.739853	−	0.269285i
$276$	2.36358	−	0.652694i	0.142271	−	0.0392876i
$277$	−5.27455	+	29.9135i	−0.316917	+	1.79733i	0.244345	+	0.969688i	$0.421427\pi$
$277$	−5.27455	+	29.9135i	−0.316917	+	1.79733i	−0.561262	+	0.827638i	$0.689684\pi$
$278$	20.0560	+	34.7379i	1.20288	+	2.08344i
$279$	−17.2193	+	10.2952i	−1.03089	+	0.616356i
$280$	3.57597	−	1.05009i	0.213705	−	0.0627546i
$281$	3.38213	−	19.1810i	0.201761	−	1.14424i	−0.700695	−	0.713461i	$-0.747127\pi$
$281$	3.38213	−	19.1810i	0.201761	−	1.14424i	0.902456	−	0.430782i	$-0.141762\pi$
$282$	29.8205	−	21.2216i	1.77579	−	1.26373i
$283$	1.33894	+	7.59351i	0.0795917	+	0.451387i	0.998393	+	0.0566670i	$0.0180473\pi$
$283$	1.33894	+	7.59351i	0.0795917	+	0.451387i	−0.918801	+	0.394720i	$0.870842\pi$
$284$	2.99265	+	16.9722i	0.177581	+	1.00711i
$285$	2.96489	−	2.10994i	0.175625	−	0.124982i
$286$	−1.45805	+	8.26899i	−0.0862161	+	0.488956i
$287$	−22.7364	−	21.6782i	−1.34209	−	1.27962i
$288$	0.319141	+	20.9067i	0.0188056	+	1.23194i
$289$	7.73062	+	13.3898i	0.454742	+	0.787637i
$290$	−2.61828	+	14.8490i	−0.153750	+	0.871962i
$291$	−9.53051	+	2.63181i	−0.558689	+	0.154280i
$292$	−13.8493	−	5.04073i	−0.810469	−	0.294987i
$293$	10.4784	−	8.79240i	0.612153	−	0.513657i	−0.283173	−	0.959069i	$-0.591387\pi$
$293$	10.4784	−	8.79240i	0.612153	−	0.513657i	0.895326	+	0.445411i	$0.146943\pi$
$294$	−19.2273	−	11.9367i	−1.12136	−	0.696163i
$295$	−8.67599	+	3.15780i	−0.505135	+	0.183854i
$296$	1.39017	−	2.40784i	0.0808017	−	0.139953i
$297$	−23.5814	+	2.60834i	−1.36833	+	0.151351i
$298$	4.09946	+	7.10047i	0.237475	+	0.411319i
$299$	−0.163184	+	0.925461i	−0.00943716	+	0.0535208i
$300$	−4.17026	+	6.05355i	−0.240770	+	0.349502i
$301$	−4.72319	+	7.09954i	−0.272240	+	0.409211i
$302$	−4.80448	−	27.2476i	−0.276467	−	1.56792i
$303$	−19.7728	+	5.46017i	−1.13592	+	0.313679i
$304$	−1.18838	+	6.73965i	−0.0681584	+	0.386546i
$305$	−7.68311			−0.439934
$306$	−6.82161	+	1.31049i	−0.389966	+	0.0749159i
$307$	8.70668	+	15.0804i	0.496916	+	0.860684i	0.999994	−	0.00355714i	$-0.00113228\pi$
$307$	8.70668	+	15.0804i	0.496916	+	0.860684i	−0.503077	+	0.864241i	$0.667799\pi$
$308$	16.4253	+	7.18801i	0.935917	+	0.409575i
$309$	−2.10622	−	22.1278i	−0.119819	−	1.25881i
$310$	−13.9899	+	11.7389i	−0.794575	+	0.666727i
$311$	5.19029	+	29.4356i	0.294315	+	1.66914i	0.669975	+	0.742383i	$0.266305\pi$
$311$	5.19029	+	29.4356i	0.294315	+	1.66914i	−0.375661	+	0.926757i	$0.622584\pi$
$312$	−1.49432	−	0.682977i	−0.0845992	−	0.0386660i
$313$	2.42961	+	2.03869i	0.137330	+	0.115233i	0.708865	−	0.705344i	$-0.249208\pi$
$313$	2.42961	+	2.03869i	0.137330	+	0.115233i	−0.571535	+	0.820578i	$0.693652\pi$
$314$	0.352998	+	0.611410i	0.0199208	+	0.0345039i
$315$	11.5198	−	1.46335i	0.649069	−	0.0824507i
$316$	−10.5004	+	18.1873i	−0.590696	+	1.02311i
$317$	6.27590	−	2.28424i	0.352489	−	0.128296i	−0.159706	−	0.987165i	$-0.551055\pi$
$317$	6.27590	−	2.28424i	0.352489	−	0.128296i	0.512195	+	0.858869i	$0.328832\pi$
$318$	−10.7116	−	10.5493i	−0.600677	−	0.591578i
$319$	19.3119	−	16.2046i	1.08126	−	0.907284i
$320$	0.883715	+	5.01180i	0.0494012	+	0.280168i
$321$	19.0754	+	1.52228i	1.06469	+	0.0849656i
$322$	4.31552	+	1.88855i	0.240495	+	0.105245i
$323$	−1.78138			−0.0991186
$324$	−1.91692	+	13.2193i	−0.106495	+	0.734406i
$325$	−1.40861	−	2.43979i	−0.0781358	−	0.135335i
$326$	−7.38070	−	6.19315i	−0.408779	−	0.343007i
$327$	18.7169	−	27.1694i	1.03504	−	1.50247i
$328$	−8.75776	+	7.34863i	−0.483566	+	0.405760i
$329$	29.8920	+	1.89903i	1.64800	+	0.104697i
$330$	−20.8177	+	5.74872i	−1.14598	+	0.316457i
$331$	−4.68844	+	1.70645i	−0.257700	+	0.0937951i	−0.467640	−	0.883919i	$-0.654895\pi$
$331$	−4.68844	+	1.70645i	−0.257700	+	0.0937951i	0.209940	+	0.977714i	$0.432673\pi$
$332$	12.3529			0.677952
$333$	5.46648	−	6.72040i	0.299561	−	0.368276i
$334$	20.2987			1.11070
$335$	3.33784	−	18.9298i	0.182366	−	1.03425i
$336$	−13.5045	+	17.1625i	−0.736732	+	0.936293i
$337$	13.6802	+	4.97920i	0.745209	+	0.271234i	0.686588	−	0.727046i	$-0.259107\pi$
$337$	13.6802	+	4.97920i	0.745209	+	0.271234i	0.0586210	+	0.998280i	$0.481330\pi$
$338$	17.2007	−	14.4331i	0.935597	−	0.785059i
$339$	−11.0601	+	7.87081i	−0.600700	+	0.427484i
$340$	−2.53109	+	0.921243i	−0.137268	+	0.0499614i
$341$	30.5343			1.65352
$342$	−2.63473	+	7.59772i	−0.142470	+	0.410838i
$343$	−6.05855	−	17.5013i	−0.327131	−	0.944979i
$344$	2.37718	+	1.99469i	0.128169	+	0.107546i
$345$	−2.32991	+	0.643394i	−0.125438	+	0.0346392i
$346$	−17.3152	+	14.5291i	−0.930868	+	0.781091i
$347$	8.17009	+	2.97367i	0.438593	+	0.159635i	0.551873	−	0.833928i	$-0.313913\pi$
$347$	8.17009	+	2.97367i	0.438593	+	0.159635i	−0.113280	+	0.993563i	$0.536136\pi$
$348$	−6.09642	−	12.8175i	−0.326802	−	0.687090i
$349$	−10.4169	+	3.79143i	−0.557602	+	0.202950i	−0.605421	−	0.795906i	$-0.706995\pi$
$349$	−10.4169	+	3.79143i	−0.557602	+	0.202950i	0.0478190	+	0.998856i	$0.484773\pi$
$350$	−13.5499	+	3.97894i	−0.724273	+	0.212683i
$351$	−4.25956	−	2.83950i	−0.227358	−	0.151561i
$352$	15.9116	−	27.5596i	0.848090	−	1.46893i
$353$	−17.7388	−	14.8846i	−0.944140	−	0.792228i	0.0341608	−	0.999416i	$-0.489124\pi$
$353$	−17.7388	−	14.8846i	−0.944140	−	0.792228i	−0.978301	+	0.207189i	$0.933569\pi$
$354$	11.5747	−	16.8019i	0.615189	−	0.893010i
$355$	−2.95001	−	16.7304i	−0.156570	−	0.887955i
$356$	−0.158494	−	0.898863i	−0.00840015	−	0.0476396i
$357$	−5.00991	−	2.68604i	−0.265152	−	0.142160i
$358$	−17.6989	−	14.8511i	−0.935416	−	0.784907i
$359$	1.03966	+	1.80074i	0.0548710	+	0.0950394i	0.892156	−	0.451727i	$-0.149192\pi$
$359$	1.03966	+	1.80074i	0.0548710	+	0.0950394i	−0.837285	+	0.546766i	$0.815859\pi$
$360$	−0.0645020	−	4.22548i	−0.00339955	−	0.222702i
$361$	8.46888	−	14.6685i	0.445730	−	0.772027i
$362$	−22.6923	−	19.0411i	−1.19268	−	1.00078i
$363$	15.5130	+	7.09020i	0.814221	+	0.372139i
$364$	1.71801	+	3.46623i	0.0900480	+	0.181680i
$365$	13.6520	+	4.96891i	0.714576	+	0.260085i
$366$	13.8331	−	9.84425i	0.723069	−	0.514567i
$367$	14.3862	−	5.23615i	0.750954	−	0.273325i	0.0619470	−	0.998079i	$-0.480269\pi$
$367$	14.3862	−	5.23615i	0.750954	−	0.273325i	0.689007	+	0.724754i	$0.258047\pi$
$368$	2.27284	−	3.93668i	0.118480	−	0.205213i
$369$	−30.5733	+	18.2793i	−1.59158	+	0.951582i
$370$	3.94289	−	6.82929i	0.204981	−	0.355038i
$371$	−1.36394	−	12.2274i	−0.0708121	−	0.634814i
$372$	4.32254	−	16.6388i	0.224113	−	0.862684i
$373$	−28.8193	−	10.4894i	−1.49221	−	0.543119i	−0.538177	−	0.842832i	$-0.680887\pi$
$373$	−28.8193	−	10.4894i	−1.49221	−	0.543119i	−0.954029	+	0.299713i	$0.903109\pi$
$374$	9.93457	+	3.61589i	0.513704	+	0.186973i
$375$	11.2987	−	16.4013i	0.583464	−	0.846957i
$376$	1.89280	−	10.7346i	0.0976135	−	0.553594i
$377$	5.43960			0.280153
$378$	−18.8660	+	17.3949i	−0.970363	+	0.894696i
$379$	33.1265			1.70159			0.850797	−	0.525495i	$-0.176120\pi$
$379$	33.1265			1.70159			0.850797	+	0.525495i	$0.176120\pi$
$380$	−0.541474	+	3.07085i	−0.0277770	+	0.157531i
$381$	−21.9338	−	1.75039i	−1.12370	−	0.0896752i
$382$	−26.6658	−	9.70556i	−1.36434	−	0.496580i
$383$	11.1640	+	4.06336i	0.570453	+	0.207628i	0.611110	−	0.791545i	$-0.290723\pi$
$383$	11.1640	+	4.06336i	0.570453	+	0.207628i	−0.0406578	+	0.999173i	$0.512945\pi$
$384$	9.18943	+	9.05022i	0.468946	+	0.461842i
$385$	−16.1912	−	7.08559i	−0.825182	−	0.361115i
$386$	−17.5469	+	30.3922i	−0.893115	+	1.54692i
$387$	6.32735	+	7.31105i	0.321637	+	0.371642i
$388$	4.23612	−	7.33718i	0.215056	−	0.372489i
$389$	−21.4924	+	7.82259i	−1.08971	+	0.396621i	−0.823512	−	0.567298i	$-0.807989\pi$
$389$	−21.4924	+	7.82259i	−1.08971	+	0.396621i	−0.266195	+	0.963919i	$0.585766\pi$
$390$	−4.23830	−	1.93711i	−0.214615	−	0.0980895i
$391$	1.11187	+	0.404689i	0.0562298	+	0.0204660i
$392$	−6.57421	+	1.48516i	−0.332048	+	0.0750117i
$393$	11.8474	−	8.43108i	0.597620	−	0.425292i
$394$	0.373395	+	0.313316i	0.0188114	+	0.0157846i
$395$	10.3508	−	17.9281i	0.520806	−	0.902063i
$396$	12.8285	−	15.7712i	0.644658	−	0.792532i
$397$	−11.1473	−	19.3077i	−0.559466	−	0.969023i	−0.997541	−	0.0700851i	$-0.977673\pi$
$397$	−11.1473	−	19.3077i	−0.559466	−	0.969023i	0.438075	−	0.898938i	$-0.355660\pi$
$398$	2.34155	+	1.96479i	0.117371	+	0.0984862i
$399$	−5.59286	+	3.46802i	−0.279993	+	0.173618i
$400$	2.36638	+	13.4204i	0.118319	+	0.671020i
$401$	0.878529	+	4.98238i	0.0438716	+	0.248808i	0.998854	−	0.0478529i	$-0.0152379\pi$
$401$	0.878529	+	4.98238i	0.0438716	+	0.248808i	−0.954983	+	0.296661i	$0.904127\pi$
$402$	18.2448	+	38.3591i	0.909970	+	1.91318i
$403$	5.04704	+	4.23497i	0.251411	+	0.210959i
$404$	8.78859	−	15.2223i	0.437249	−	0.757337i
$405$	1.88960	−	13.0309i	0.0938952	−	0.647513i
$406$	6.42792	−	26.4988i	0.319013	−	1.31511i
$407$	−12.3896	+	4.50944i	−0.614129	+	0.223525i
$408$	−1.17360	+	1.70360i	−0.0581017	+	0.0843405i
$409$	−21.3726	−	7.77898i	−1.05681	−	0.384646i	−0.245578	−	0.969377i	$-0.578978\pi$
$409$	−21.3726	−	7.77898i	−1.05681	−	0.384646i	−0.811227	+	0.584731i	$0.801200\pi$
$410$	−24.8394	+	20.8427i	−1.22673	+	1.02935i
$411$	1.01175	−	3.89456i	0.0499061	−	0.192105i
$412$	14.5907	+	12.2430i	0.718831	+	0.603171i
$413$	16.0202	−	4.70435i	0.788304	−	0.231486i
$414$	3.37053	−	4.14367i	0.165652	−	0.203650i
$415$	−12.1769			−0.597738
$416$	6.45245	−	2.34850i	0.316357	−	0.115145i
$417$	33.8524	+	15.4722i	1.65776	+	0.757678i
$418$	9.37567	−	7.86712i	0.458579	−	0.384793i
$419$	28.5404	+	10.3878i	1.39429	+	0.507480i	0.926478	−	0.376349i	$-0.122821\pi$
$419$	28.5404	+	10.3878i	1.39429	+	0.507480i	0.467811	+	0.883829i	$0.345043\pi$
$420$	−6.15320	+	7.81993i	−0.300245	+	0.381574i
$421$	5.43779	−	30.8393i	0.265022	−	1.50301i	−0.503951	−	0.863732i	$-0.668121\pi$
$421$	5.43779	−	30.8393i	0.265022	−	1.50301i	0.768973	−	0.639281i	$-0.220768\pi$
$422$	−11.8986			−0.579214
$423$	11.1274	−	32.0880i	0.541034	−	1.56017i
$424$	−4.47737			−0.217440
$425$	−3.33327	+	1.21321i	−0.161687	+	0.0588493i
$426$	26.7477	+	26.3425i	1.29593	+	1.27630i
$427$	13.8663	+	0.880919i	0.671036	+	0.0426307i
$428$	−12.5612	+	10.5401i	−0.607168	+	0.509475i
$429$	3.34655	+	7.03601i	0.161573	+	0.339702i
$430$	6.74233	+	5.65748i	0.325144	+	0.272828i
$431$	−5.25777	−	9.10673i	−0.253258	−	0.438656i	0.711163	−	0.703027i	$-0.248169\pi$
$431$	−5.25777	−	9.10673i	−0.253258	−	0.438656i	−0.964421	+	0.264372i	$0.914835\pi$
$432$	14.6639	+	19.9539i	0.705519	+	0.960033i
$433$	−6.33812			−0.304591			−0.152295	−	0.988335i	$-0.548667\pi$
$433$	−6.33812			−0.304591			−0.152295	+	0.988335i	$0.548667\pi$
$434$	26.5946	−	19.5821i	1.27658	−	0.939970i
$435$	6.00955	+	12.6349i	0.288136	+	0.605796i
$436$	4.90917	+	27.8413i	0.235107	+	1.33336i
$437$	1.04932	−	0.880484i	0.0501958	−	0.0421193i
$438$	−30.9464	+	8.54572i	−1.47868	+	0.408330i
$439$	−19.0176	+	6.92183i	−0.907659	+	0.330361i	−0.753318	−	0.657657i	$-0.771548\pi$
$439$	−19.0176	+	6.92183i	−0.907659	+	0.330361i	−0.154341	+	0.988018i	$0.549326\pi$
$440$	−3.21591	+	5.57011i	−0.153312	+	0.265545i
$441$	−20.9585	+	1.32020i	−0.998022	+	0.0628665i
$442$	1.14059	+	1.97556i	0.0542523	+	0.0939677i
$443$	6.80079	+	5.70654i	0.323115	+	0.271126i	0.789888	−	0.613252i	$-0.210139\pi$
$443$	6.80079	+	5.70654i	0.323115	+	0.271126i	−0.466772	+	0.884377i	$0.654583\pi$
$444$	0.703388	+	7.38975i	0.0333813	+	0.350702i
$445$	0.156235	+	0.886055i	0.00740627	+	0.0420030i
$446$	−8.26552	+	6.93559i	−0.391384	+	0.328410i
$447$	6.91948	+	3.16254i	0.327280	+	0.149583i
$448$	−1.02027	−	9.14647i	−0.0482032	−	0.432130i
$449$	6.01834	+	10.4241i	0.284023	+	0.491943i	0.972372	−	0.233437i	$-0.0749974\pi$
$449$	6.01834	+	10.4241i	0.284023	+	0.491943i	−0.688349	+	0.725380i	$0.741664\pi$
$450$	0.244408	+	16.0110i	0.0115215	+	0.754767i
$451$	54.2142			2.55285
$452$	2.01989	−	11.4553i	0.0950075	−	0.538814i
$453$	−18.2920	−	18.0149i	−0.859433	−	0.846414i
$454$	−4.15608	−	23.5703i	−0.195055	−	1.10621i
$455$	−1.69353	−	3.41684i	−0.0793937	−	0.160184i
$456$	1.02866	+	2.16272i	0.0481713	+	0.101278i
$457$	−0.558880	+	3.16957i	−0.0261433	+	0.148266i	−0.995085	−	0.0990224i	$-0.968428\pi$
$457$	−0.558880	+	3.16957i	−0.0261433	+	0.148266i	0.968942	+	0.247289i	$0.0795396\pi$
$458$	−5.46990	−	9.47414i	−0.255591	−	0.442697i
$459$	−4.45223	+	4.66092i	−0.207812	+	0.217553i
$460$	1.03560	−	1.79370i	0.0482849	−	0.0836319i
$461$	32.0957	−	11.6819i	1.49485	−	0.544080i	0.540126	−	0.841584i	$-0.318377\pi$
$461$	32.0957	−	11.6819i	1.49485	−	0.544080i	0.954720	+	0.297505i	$0.0961544\pi$
$462$	38.2303	−	7.98825i	1.77863	−	0.371647i
$463$	8.38189	−	7.03324i	0.389539	−	0.326862i	−0.426894	−	0.904302i	$-0.640392\pi$
$463$	8.38189	−	7.03324i	0.389539	−	0.326862i	0.816434	+	0.577439i	$0.195948\pi$
$464$	−24.7255	−	8.99933i	−1.14785	−	0.417784i
$465$	−4.26095	+	16.4018i	−0.197597	+	0.760614i
$466$	−0.314897	+	1.78587i	−0.0145873	+	0.0827288i
$467$	20.7032	+	35.8590i	0.958031	+	1.65936i	0.727275	+	0.686346i	$0.240786\pi$
$467$	20.7032	+	35.8590i	0.958031	+	1.65936i	0.230755	+	0.973012i	$0.425880\pi$
$468$	4.30784	−	0.827575i	0.199130	−	0.0382547i
$469$	−8.19447	+	33.7813i	−0.378385	+	1.55988i
$470$	5.36849	−	30.4462i	0.247630	−	1.40438i
$471$	0.595825	+	0.272321i	0.0274541	+	0.0125479i
$472$	−1.05513	−	5.98392i	−0.0485662	−	0.275432i
$473$	−2.55536	−	14.4922i	−0.117496	−	0.666350i
$474$	4.33481	+	45.5412i	0.199104	+	2.09178i
$475$	−0.713082	+	4.04409i	−0.0327184	+	0.185555i
$476$	4.67367	−	1.37243i	0.214217	−	0.0629051i
$477$	−13.7740	−	2.21251i	−0.630667	−	0.101304i
$478$	−22.1736	−	38.4057i	−1.01420	−	1.75664i
$479$	1.44178	−	8.17673i	0.0658765	−	0.373604i	−0.933990	−	0.357298i	$-0.883698\pi$
$479$	1.44178	−	8.17673i	0.0658765	−	0.373604i	0.999867	−	0.0163066i	$-0.00519078\pi$
$480$	12.5835	+	12.3929i	0.574357	+	0.565656i
$481$	−2.67333	−	0.973012i	−0.121893	−	0.0443655i
$482$	0.409274	−	0.343422i	0.0186419	−	0.0156424i
$483$	4.27872	−	0.894041i	0.194688	−	0.0406803i
$484$	−13.7341	+	4.99880i	−0.624277	+	0.227218i
$485$	−4.17576	+	7.23263i	−0.189612	+	0.328417i
$486$	13.2942	+	25.8828i	0.603036	+	1.17407i
$487$	11.9736	+	20.7388i	0.542574	+	0.939766i	0.998755	+	0.0498789i	$0.0158835\pi$
$487$	11.9736	+	20.7388i	0.542574	+	0.939766i	−0.456181	+	0.889887i	$0.650783\pi$
$488$	0.878029	−	4.97955i	0.0397465	−	0.225414i
$489$	−8.91202	−	0.711209i	−0.403015	−	0.0321620i
$490$	−18.6463	+	4.21231i	−0.842352	+	0.190293i
$491$	6.82562	+	38.7100i	0.308036	+	1.74696i	0.608859	+	0.793278i	$0.291627\pi$
$491$	6.82562	+	38.7100i	0.308036	+	1.74696i	−0.300823	+	0.953680i	$0.597261\pi$
$492$	7.67475	−	29.5426i	0.346005	−	1.33188i
$493$	1.18932	−	6.74498i	0.0535643	−	0.303778i
$494$	2.64085			0.118817
$495$	−12.6457	+	15.5465i	−0.568384	+	0.698762i
$496$	−15.9347	−	27.5998i	−0.715491	−	1.23927i
$497$	3.40586	+	30.5327i	0.152774	+	1.36958i
$498$	21.9239	−	15.6020i	0.982435	−	0.699142i
$499$	−4.79773	+	4.02577i	−0.214776	+	0.180218i	−0.743828	−	0.668371i	$-0.766992\pi$
$499$	−4.79773	+	4.02577i	−0.214776	+	0.180218i	0.529052	+	0.848589i	$0.322548\pi$
$500$	2.96350	+	16.8068i	0.132532	+	0.751625i
$501$	15.3463	−	10.9211i	0.685622	−	0.487918i
$502$	11.2023	+	9.39988i	0.499985	+	0.419537i
$503$	−1.54894	−	2.68284i	−0.0690637	−	0.119622i	0.829426	−	0.558617i	$-0.188668\pi$
$503$	−1.54894	−	2.68284i	−0.0690637	−	0.119622i	−0.898489	+	0.438995i	$0.855335\pi$
$504$	−0.368068	+	7.63343i	−0.0163950	+	0.340020i
$505$	−8.66337	+	15.0054i	−0.385515	+	0.667731i
$506$	−7.63918	+	2.78044i	−0.339603	+	0.123605i
$507$	5.23887	−	20.1661i	0.232667	−	0.895609i
$508$	14.4434	−	12.1195i	0.640824	−	0.537715i
$509$	−0.840121	−	4.76457i	−0.0372377	−	0.211186i	0.960512	−	0.278240i	$-0.0897510\pi$
$509$	−0.840121	−	4.76457i	−0.0372377	−	0.211186i	−0.997749	+	0.0670543i	$0.978640\pi$
$510$	−3.32864	+	4.83187i	−0.147395	+	0.213959i
$511$	−24.0690	−	10.5330i	−1.06475	−	0.465954i
$512$	−24.0378			−1.06233
$513$	2.09580	+	7.16159i	0.0925318	+	0.316192i
$514$	−9.01718	−	15.6182i	−0.397731	−	0.688890i
$515$	−14.3828	−	12.0686i	−0.633781	−	0.531805i
$516$	−8.25887	−	0.659085i	−0.363577	−	0.0290146i
$517$	−39.5970	+	33.2258i	−1.74147	+	1.46127i
$518$	−7.89904	+	11.8732i	−0.347064	+	0.521680i
$519$	−5.27372	+	20.3003i	−0.231491	+	0.891082i
$520$	−1.30411	+	0.474658i	−0.0571891	+	0.0208151i
$521$	−30.4398			−1.33359			−0.666796	−	0.745240i	$-0.732335\pi$
$521$	−30.4398			−1.33359			−0.666796	+	0.745240i	$0.732335\pi$
$522$	−27.0088	−	15.0486i	−1.18214	−	0.658660i
$523$	33.7422			1.47545			0.737723	−	0.675104i	$-0.235901\pi$
$523$	33.7422			1.47545			0.737723	+	0.675104i	$0.235901\pi$
$524$	−2.16367	+	12.2708i	−0.0945203	+	0.536051i
$525$	−8.10331	+	10.2983i	−0.353657	+	0.449454i
$526$	32.1493	+	11.7014i	1.40177	+	0.510204i
$527$	6.35476	−	5.33228i	0.276818	−	0.232278i
$528$	−3.57117	−	37.5185i	−0.155415	−	1.63278i
$529$	20.7580	−	7.55528i	0.902520	−	0.328490i
$530$	−12.6991			−0.551612
$531$	−0.288967	−	18.9300i	−0.0125401	−	0.821494i
$532$	1.32933	−	5.48010i	0.0576338	−	0.237593i
$533$	8.96113	+	7.51928i	0.388149	+	0.325696i
$534$	−1.41658	−	1.39512i	−0.0613015	−	0.0603729i
$535$	12.3822	−	10.3899i	0.535330	−	0.449195i
$536$	11.8873	+	4.32662i	0.513452	+	0.186881i
$537$	−21.3710	−	1.70548i	−0.922226	−	0.0735967i
$538$	−8.01357	+	2.91670i	−0.345490	+	0.125748i
$539$	28.4091	+	14.6443i	1.22367	+	0.630775i
$540$	6.68147	+	9.09179i	0.287525	+	0.391248i
$541$	7.87553	−	13.6408i	0.338596	−	0.586465i	−0.645573	−	0.763698i	$-0.723382\pi$
$541$	7.87553	−	13.6408i	0.338596	−	0.586465i	0.984169	+	0.177234i	$0.0567148\pi$
$542$	−18.8949	−	15.8547i	−0.811604	−	0.681017i
$543$	−27.4004	−	2.18664i	−1.17586	−	0.0938377i
$544$	−1.50131	−	8.51437i	−0.0643683	−	0.365050i
$545$	−4.83922	−	27.4446i	−0.207289	−	1.17560i
$546$	7.42706	+	3.98199i	0.317849	+	0.170414i
$547$	−16.6514	−	13.9722i	−0.711963	−	0.597408i	0.213186	−	0.977012i	$-0.431616\pi$
$547$	−16.6514	−	13.9722i	−0.711963	−	0.597408i	−0.925149	+	0.379603i	$0.876060\pi$
$548$	1.72399	+	2.98604i	0.0736452	+	0.127557i
$549$	5.16179	−	14.8850i	0.220300	−	0.635275i
$550$	12.1856	−	21.1060i	0.519595	−	0.899964i
$551$	−6.07390	−	5.09661i	−0.258757	−	0.217123i
$552$	−0.150732	−	1.58358i	−0.00641556	−	0.0674015i
$553$	−20.7364	+	31.1694i	−0.881803	+	1.32546i
$554$	−53.2784	−	19.3918i	−2.26358	−	0.823877i
$555$	−0.693366	−	7.28446i	−0.0294317	−	0.309208i
$556$	−29.9705	+	10.9084i	−1.27103	+	0.462618i
$557$	−12.3971	+	21.4723i	−0.525280	+	0.909811i	0.474287	+	0.880370i	$0.342706\pi$
$557$	−12.3971	+	21.4723i	−0.525280	+	0.909811i	−0.999567	+	0.0294409i	$0.990627\pi$
$558$	−13.3436	−	34.9902i	−0.564882	−	1.48125i
$559$	1.58762	−	2.74984i	0.0671493	−	0.116306i
$560$	2.04499	+	18.3329i	0.0864168	+	0.774707i
$561$	9.45619	−	2.61129i	0.399241	−	0.110249i
$562$	34.1630	+	12.4343i	1.44108	+	0.524509i
$563$	−17.9677	−	6.53971i	−0.757248	−	0.275616i	−0.0655957	−	0.997846i	$-0.520895\pi$
$563$	−17.9677	−	6.53971i	−0.757248	−	0.275616i	−0.691652	+	0.722230i	$0.743117\pi$
$564$	12.5000	+	26.2809i	0.526347	+	1.10663i
$565$	−1.99111	+	11.2921i	−0.0837665	+	0.475063i
$566$	−14.3927			−0.604968
$567$	−4.90439	+	23.3012i	−0.205965	+	0.978559i
$568$	11.1803			0.469117
$569$	−3.50374	+	19.8707i	−0.146884	+	0.833022i	0.818951	+	0.573864i	$0.194556\pi$
$569$	−3.50374	+	19.8707i	−0.146884	+	0.833022i	−0.965835	+	0.259158i	$0.916555\pi$
$570$	2.91756	+	6.13406i	0.122203	+	0.256927i
$571$	−1.27023	−	0.462325i	−0.0531574	−	0.0193477i	0.315305	−	0.948991i	$-0.397893\pi$
$571$	−1.27023	−	0.462325i	−0.0531574	−	0.0193477i	−0.368462	+	0.929643i	$0.620116\pi$
$572$	−6.27367	−	2.28343i	−0.262315	−	0.0954750i
$573$	−25.3818	+	7.00907i	−1.06034	+	0.292808i
$574$	47.2192	−	34.7684i	1.97089	−	1.45120i
$575$	1.36380	−	2.36218i	0.0568746	−	0.0985096i
$576$	−10.3034	−	1.65503i	−0.429307	−	0.0689595i
$577$	−6.07544	+	10.5230i	−0.252924	+	0.438077i	−0.964330	−	0.264705i	$-0.914726\pi$
$577$	−6.07544	+	10.5230i	−0.252924	+	0.438077i	0.711406	+	0.702782i	$0.248059\pi$
$578$	−27.1194	+	9.87065i	−1.12802	+	0.410565i
$579$	3.08566	+	32.4178i	0.128236	+	1.34724i
$580$	−11.2659	−	4.10045i	−0.467791	−	0.170262i
$581$	21.9764	+	1.39616i	0.911737	+	0.0579223i
$582$	−1.74876	−	18.3724i	−0.0724885	−	0.761560i
$583$	16.2649	+	13.6479i	0.673623	+	0.565237i
$584$	−4.78058	+	8.28021i	−0.197822	+	0.342638i
$585$	−4.24646	+	0.815783i	−0.175570	+	0.0337285i
$586$	12.7661	+	22.1116i	0.527365	+	0.913422i
$587$	−36.1996	−	30.3750i	−1.49412	−	1.25371i	−0.889282	−	0.457360i	$-0.848795\pi$
$587$	−36.1996	−	30.3750i	−1.49412	−	1.25371i	−0.604834	−	0.796352i	$-0.706761\pi$
$588$	12.0017	−	13.4077i	0.494943	−	0.552924i
$589$	−1.66763	−	9.45762i	−0.0687136	−	0.389694i
$590$	−2.99263	−	16.9721i	−0.123205	−	0.698728i
$591$	0.450865	+	0.0359806i	0.0185461	+	0.00148004i
$592$	10.5417	+	8.84557i	0.433263	+	0.363551i
$593$	5.30960	−	9.19649i	0.218039	−	0.377655i	−0.736169	−	0.676797i	$-0.763367\pi$
$593$	5.30960	−	9.19649i	0.218039	−	0.377655i	0.954208	+	0.299143i	$0.0967006\pi$
$594$	2.84871	−	44.1936i	0.116884	−	1.81328i
$595$	−4.60708	+	1.35287i	−0.188872	+	0.0554623i
$596$	−6.12600	+	2.22968i	−0.250931	+	0.0913314i
$597$	2.82736	+	0.225633i	0.115716	+	0.00923454i
$598$	−1.64832	−	0.599941i	−0.0674050	−	0.0245334i
$599$	7.85627	−	6.59219i	0.320999	−	0.269350i	−0.468022	−	0.883717i	$-0.655033\pi$
$599$	7.85627	−	6.59219i	0.320999	−	0.269350i	0.789020	+	0.614367i	$0.210589\pi$
$600$	3.39771	+	3.34624i	0.138711	+	0.136610i
$601$	−19.1642	−	16.0807i	−0.781724	−	0.655945i	0.161958	−	0.986798i	$-0.448219\pi$
$601$	−19.1642	−	16.0807i	−0.781724	−	0.655945i	−0.943682	+	0.330853i	$0.892664\pi$
$602$	−11.5197	−	10.9835i	−0.469508	−	0.447655i
$603$	34.4314	+	19.1843i	1.40216	+	0.781246i
$604$	21.9994			0.895143
$605$	13.5384	−	4.92757i	0.550414	−	0.200334i
$606$	−3.62812	−	38.1168i	−0.147382	−	1.54839i
$607$	0.503454	−	0.422448i	0.0204346	−	0.0171466i	−0.632513	−	0.774550i	$-0.717977\pi$
$607$	0.503454	−	0.422448i	0.0204346	−	0.0171466i	0.652948	+	0.757403i	$0.273532\pi$
$608$	−9.40528	−	3.42324i	−0.381434	−	0.138831i
$609$	−9.39720	−	23.4921i	−0.380794	−	0.951947i
$610$	2.49033	−	14.1234i	0.100831	−	0.571839i
$611$	−11.1533			−0.451214
$612$	−0.0843020	−	5.52257i	−0.00340770	−	0.223237i
$613$	−27.7448			−1.12060			−0.560301	−	0.828289i	$-0.689314\pi$
$613$	−27.7448			−1.12060			−0.560301	+	0.828289i	$0.689314\pi$
$614$	−30.5435	+	11.1169i	−1.23263	+	0.448642i
$615$	−7.56540	+	29.1217i	−0.305066	+	1.17430i
$616$	6.44263	−	9.68406i	0.259581	−	0.390182i
$617$	12.7820	−	10.7253i	0.514582	−	0.431786i	−0.348156	−	0.937437i	$-0.613192\pi$
$617$	12.7820	−	10.7253i	0.514582	−	0.431786i	0.862738	+	0.505651i	$0.168748\pi$
$618$	41.3589	+	3.30057i	1.66370	+	0.132769i
$619$	−7.28444	−	6.11237i	−0.292787	−	0.245677i	0.484548	−	0.874765i	$-0.338984\pi$
$619$	−7.28444	−	6.11237i	−0.292787	−	0.245677i	−0.777334	+	0.629088i	$0.783429\pi$
$620$	−7.26050	−	12.5755i	−0.291589	−	0.505046i
$621$	0.318826	−	4.94612i	0.0127941	−	0.198481i
$622$	−55.7920			−2.23705
$623$	−0.180377	−	1.61704i	−0.00722667	−	0.0647854i
$624$	4.61337	−	6.69678i	0.184683	−	0.268086i
$625$	−0.438492	−	2.48681i	−0.0175397	−	0.0994725i
$626$	−4.53510	+	3.80540i	−0.181259	+	0.152094i
$627$	2.85557	−	10.9920i	0.114041	−	0.438979i
$628$	−0.527500	+	0.191994i	−0.0210495	+	0.00766141i
$629$	−1.79101	+	3.10213i	−0.0714124	+	0.123690i
$630$	−1.04394	+	21.6505i	−0.0415916	+	0.862577i
$631$	−22.9465	−	39.7445i	−0.913486	−	1.58220i	−0.809103	−	0.587667i	$-0.800047\pi$
$631$	−22.9465	−	39.7445i	−0.913486	−	1.58220i	−0.104383	−	0.994537i	$-0.533287\pi$
$632$	10.4366	+	8.75737i	0.415147	+	0.348349i
$633$	−8.99561	+	6.40166i	−0.357544	+	0.254443i
$634$	2.16476	+	12.2770i	0.0859737	+	0.487581i
$635$	−14.2376	+	11.9468i	−0.565003	+	0.474094i
$636$	9.73957	−	6.93109i	0.386199	−	0.274836i
$637$	2.66467	+	6.36079i	0.105578	+	0.252024i
$638$	23.5283	+	40.7523i	0.931495	+	1.61340i
$639$	34.3947	+	5.52480i	1.36063	+	0.218558i
$640$	10.8945			0.430641
$641$	−4.98155	+	28.2518i	−0.196759	+	1.11588i	0.713132	+	0.701030i	$0.247276\pi$
$641$	−4.98155	+	28.2518i	−0.196759	+	1.11588i	−0.909891	+	0.414847i	$0.863835\pi$
$642$	−8.98125	+	34.5717i	−0.354462	+	1.36444i
$643$	0.172431	+	0.977906i	0.00680002	+	0.0385648i	0.988019	−	0.154332i	$-0.0493227\pi$
$643$	0.172431	+	0.977906i	0.00680002	+	0.0385648i	−0.981219	+	0.192897i	$0.938212\pi$
$644$	−2.07467	+	3.11849i	−0.0817536	+	0.122886i
$645$	8.14119	+	0.649694i	0.320559	+	0.0255817i
$646$	0.577400	−	3.27460i	0.0227175	−	0.128837i
$647$	8.87356	+	15.3695i	0.348856	+	0.604236i	0.986046	−	0.166470i	$-0.0532370\pi$
$647$	8.87356	+	15.3695i	0.348856	+	0.604236i	−0.637191	+	0.770706i	$0.719904\pi$
$648$	8.22962	+	2.71386i	0.323290	+	0.106611i
$649$	−14.4072	+	24.9540i	−0.565531	+	0.979528i
$650$	4.94148	−	1.79855i	0.193821	−	0.0705451i
$651$	9.57061	−	29.1129i	0.375102	−	1.14102i
$652$	5.86857	−	4.92432i	0.229831	−	0.192851i
$653$	17.1213	+	6.23165i	0.670008	+	0.243863i	0.654552	−	0.756017i	$-0.272857\pi$
$653$	17.1213	+	6.23165i	0.670008	+	0.243863i	0.0154569	+	0.999881i	$0.495080\pi$
$654$	43.8771	+	43.2124i	1.71573	+	1.68974i
$655$	2.13284	−	12.0959i	0.0833370	−	0.472627i
$656$	−28.2925	−	49.0040i	−1.10463	−	1.91328i
$657$	−18.7984	+	23.1105i	−0.733397	+	0.901627i
$658$	−13.1798	+	54.3330i	−0.513800	+	2.11812i
$659$	−0.516836	+	2.93112i	−0.0201331	+	0.114180i	−0.993218	−	0.116266i	$-0.962907\pi$
$659$	−0.516836	+	2.93112i	−0.0201331	+	0.114180i	0.973085	+	0.230446i	$0.0740186\pi$
$660$	−1.62717	−	17.0949i	−0.0633373	−	0.665418i
$661$	4.25035	+	24.1049i	0.165320	+	0.937574i	0.948734	+	0.316075i	$0.102365\pi$
$661$	4.25035	+	24.1049i	0.165320	+	0.937574i	−0.783415	+	0.621499i	$0.786524\pi$
$662$	−1.61720	−	9.17158i	−0.0628541	−	0.356463i
$663$	1.92520	+	0.879910i	0.0747685	+	0.0341729i
$664$	1.39158	−	7.89202i	0.0540036	−	0.306270i
$665$	−1.31039	+	5.40202i	−0.0508147	+	0.209481i
$666$	10.5818	+	12.2270i	0.410038	+	0.473785i
$667$	2.63328	+	4.56097i	0.101961	+	0.176602i
$668$	−2.80268	+	15.8948i	−0.108439	+	0.614987i
$669$	−2.51745	+	9.69048i	−0.0973302	+	0.374656i
$670$	33.7156	+	12.2715i	1.30255	+	0.474089i
$671$	−18.3682	+	15.4128i	−0.709097	+	0.595003i
$672$	−21.2895	−	23.8091i	−0.821259	−	0.918458i
$673$	23.3965	−	8.51562i	0.901868	−	0.328253i	0.150867	−	0.988554i	$-0.451794\pi$
$673$	23.3965	−	8.51562i	0.901868	−	0.328253i	0.751001	+	0.660301i	$0.229571\pi$
$674$	−13.5871	+	23.5336i	−0.523356	+	0.906480i
$675$	8.79901	+	11.9732i	0.338674	+	0.460849i
$676$	8.92685	+	15.4618i	0.343340	+	0.594683i
$677$	1.53657	−	8.71430i	0.0590550	−	0.334918i	−0.940938	−	0.338578i	$-0.890054\pi$
$677$	1.53657	−	8.71430i	0.0590550	−	0.334918i	0.999993	+	0.00366049i	$0.00116517\pi$
$678$	−10.8835	−	22.8822i	−0.417978	−	0.878785i
$679$	8.36556	−	12.5745i	0.321041	−	0.482564i
$680$	0.303432	+	1.72085i	0.0116361	+	0.0659916i
$681$	−15.8234	−	15.5837i	−0.606353	−	0.597168i
$682$	−9.89709	+	56.1292i	−0.378979	+	2.14930i
$683$	6.28032			0.240310			0.120155	−	0.992755i	$-0.461661\pi$
$683$	6.28032			0.240310			0.120155	+	0.992755i	$0.461661\pi$
$684$	−5.58557	−	3.11214i	−0.213570	−	0.118996i
$685$	−1.69943	−	2.94349i	−0.0649317	−	0.112465i
$686$	34.1352	−	5.46435i	1.30329	−	0.208630i
$687$	−9.23264	−	4.21977i	−0.352247	−	0.160994i
$688$	−11.7658	+	9.87272i	−0.448569	+	0.376394i
$689$	0.795542	+	4.51174i	0.0303077	+	0.171884i
$690$	−0.427516	−	4.49146i	−0.0162753	−	0.170987i
$691$	−8.61563	−	7.22938i	−0.327754	−	0.275018i	0.464030	−	0.885820i	$-0.346403\pi$
$691$	−8.61563	−	7.22938i	−0.327754	−	0.275018i	−0.791784	+	0.610801i	$0.790847\pi$
$692$	−8.98622	−	15.5646i	−0.341605	−	0.591677i
$693$	24.6052	−	26.6079i	0.934674	−	1.01075i
$694$	−8.11448	+	14.0547i	−0.308022	+	0.533509i
$695$	29.5435	−	10.7529i	1.12065	−	0.407882i
$696$	−8.87564	+	2.45097i	−0.336430	+	0.0929038i
$697$	11.2830	−	9.46757i	0.427374	−	0.358610i
$698$	−3.59312	−	20.3776i	−0.136001	−	0.771302i
$699$	0.722762	+	1.51958i	0.0273374	+	0.0574758i
$700$	−1.24482	−	11.1596i	−0.0470499	−	0.421791i
$701$	11.0400			0.416976			0.208488	−	0.978025i	$-0.433146\pi$
$701$	11.0400			0.416976			0.208488	+	0.978025i	$0.433146\pi$
$702$	6.60033	−	6.90970i	0.249113	−	0.260790i
$703$	2.07340	+	3.59124i	0.0781999	+	0.135446i
$704$	12.1667	+	10.2090i	0.458549	+	0.384768i
$705$	−12.3219	−	25.9064i	−0.464071	−	0.975692i
$706$	33.1111	−	27.7835i	1.24615	−	1.04565i
$707$	17.3559	−	26.0880i	0.652735	−	0.981140i
$708$	11.5585	+	11.3834i	0.434394	+	0.427814i
$709$	17.8195	−	6.48575i	0.669224	−	0.243577i	0.0150100	−	0.999887i	$-0.495222\pi$
$709$	17.8195	−	6.48575i	0.669224	−	0.243577i	0.654214	+	0.756310i	$0.273000\pi$
$710$	31.7105			1.19008
$711$	27.7793	+	32.0980i	1.04180	+	1.20377i
$712$	−0.592121			−0.0221907
$713$	−1.10768	+	6.28195i	−0.0414828	+	0.235261i
$714$	6.56145	−	8.33876i	0.245556	−	0.312070i
$715$	6.18428	+	2.25089i	0.231279	+	0.0841786i
$716$	14.0728	−	11.8085i	0.525926	−	0.441304i
$717$	−37.4267	−	17.1059i	−1.39773	−	0.638830i
$718$	−3.64717	+	1.32746i	−0.136111	+	0.0495404i
$719$	3.54116			0.132063			0.0660316	−	0.997818i	$-0.478966\pi$
$719$	3.54116			0.132063			0.0660316	+	0.997818i	$0.478966\pi$
$720$	20.6518	+	3.31728i	0.769646	+	0.123628i
$721$	24.5739	+	23.4301i	0.915179	+	0.872583i
$722$	24.2192	+	20.3223i	0.901345	+	0.756318i
$723$	0.124654	−	0.479832i	0.00463592	−	0.0178452i
$724$	18.0432	−	15.1400i	0.670569	−	0.562674i
$725$	−14.8364	−	5.40000i	−0.551009	−	0.200551i
$726$	−18.0617	+	26.2184i	−0.670333	+	0.973057i
$727$	34.1662	−	12.4355i	1.26715	−	0.461206i	0.380990	−	0.924579i	$-0.375583\pi$
$727$	34.1662	−	12.4355i	1.26715	−	0.461206i	0.886163	+	0.463373i	$0.153361\pi$
$728$	2.40805	−	0.707124i	0.0892481	−	0.0262078i
$729$	23.9761	+	12.4155i	0.888005	+	0.459833i
$730$	−13.5590	+	23.4850i	−0.501843	+	0.869217i
$731$	−3.06262	−	2.56985i	−0.113275	−	0.0950492i
$732$	5.79851	+	12.1912i	0.214319	+	0.450598i
$733$	−3.73447	−	21.1792i	−0.137936	−	0.782272i	−0.972770	−	0.231771i	$-0.925548\pi$
$733$	−3.73447	−	21.1792i	−0.137936	−	0.782272i	0.834835	−	0.550501i	$-0.185563\pi$
$734$	4.96227	+	28.1425i	0.183161	+	1.03876i
$735$	−11.8307	+	13.2166i	−0.436382	+	0.487503i
$736$	5.09275	+	4.27333i	0.187721	+	0.157517i
$737$	−29.9945	−	51.9519i	−1.10486	−	1.91367i
$738$	−23.6919	−	62.1258i	−0.872112	−	2.28688i
$739$	−3.59765	+	6.23131i	−0.132342	+	0.229223i	−0.924579	−	0.380991i	$-0.875583\pi$
$739$	−3.59765	+	6.23131i	−0.132342	+	0.229223i	0.792237	+	0.610213i	$0.208916\pi$
$740$	4.80323	+	4.03039i	0.176570	+	0.148160i
$741$	1.99655	−	1.42083i	0.0733450	−	0.0521954i
$742$	22.9189	+	1.45603i	0.841380	+	0.0534525i
$743$	−5.28136	−	1.92226i	−0.193754	−	0.0705207i	0.243321	−	0.969946i	$-0.421763\pi$
$743$	−5.28136	−	1.92226i	−0.193754	−	0.0705207i	−0.437075	+	0.899425i	$0.643985\pi$
$744$	−10.1433	−	4.63599i	−0.371872	−	0.169964i
$745$	6.03872	−	2.19791i	0.221242	−	0.0805253i
$746$	28.6232	−	49.5768i	1.04797	−	1.81513i
$747$	8.18084	−	23.5910i	0.299321	−	0.863149i
$748$	−4.20308	+	7.27996i	−0.153680	+	0.266182i
$749$	−23.5383	+	17.3317i	−0.860072	+	0.633287i
$750$	26.4871	+	26.0859i	0.967173	+	0.952522i
$751$	−40.3558	−	14.6883i	−1.47260	−	0.535984i	−0.523797	−	0.851843i	$-0.675485\pi$
$751$	−40.3558	−	14.6883i	−1.47260	−	0.535984i	−0.948806	+	0.315860i	$0.897707\pi$
$752$	50.6969	+	18.4522i	1.84873	+	0.672881i
$753$	13.5265	+	1.07946i	0.492935	+	0.0393378i
$754$	−1.76314	+	9.99926i	−0.0642098	+	0.364152i
$755$	−21.6859			−0.789232
$756$	−11.0161	−	17.1747i	−0.400652	−	0.624637i
$757$	−18.7190			−0.680354			−0.340177	−	0.940361i	$-0.610487\pi$
$757$	−18.7190			−0.680354			−0.340177	+	0.940361i	$0.610487\pi$
$758$	−10.7373	+	60.8943i	−0.389997	+	2.21178i
$759$	−4.27948	+	6.21210i	−0.155335	+	0.225485i
$760$	1.90091	+	0.691876i	0.0689533	+	0.0250970i
$761$	11.7685	+	4.28340i	0.426609	+	0.155273i	0.546397	−	0.837526i	$-0.315999\pi$
$761$	11.7685	+	4.28340i	0.426609	+	0.155273i	−0.119787	+	0.992800i	$0.538221\pi$
$762$	10.3270	−	39.7521i	0.374109	−	1.44007i
$763$	5.58699	+	50.0861i	0.202263	+	1.81324i
$764$	11.2817	−	19.5404i	0.408157	−	0.706948i
$765$	0.0831008	+	5.44388i	0.00300452	+	0.196824i
$766$	−11.0880	+	19.2050i	−0.400626	+	0.693904i
$767$	−5.84238	+	2.12645i	−0.210956	+	0.0767818i
$768$	−29.4326	+	20.9455i	−1.06206	+	0.755806i
$769$	18.4388	+	6.71117i	0.664920	+	0.242011i	0.652359	−	0.757910i	$-0.273779\pi$
$769$	18.4388	+	6.71117i	0.664920	+	0.242011i	0.0125608	+	0.999921i	$0.496002\pi$
$770$	18.2731	−	27.4667i	0.658516	−	0.989830i
$771$	−15.2201	−	6.95633i	−0.548138	−	0.250526i
$772$	−21.3757	−	17.9363i	−0.769327	−	0.645542i
$773$	−5.39853	+	9.35052i	−0.194171	+	0.336315i	−0.946629	−	0.322326i	$-0.895535\pi$
$773$	−5.39853	+	9.35052i	−0.194171	+	0.336315i	0.752457	+	0.658641i	$0.228868\pi$
$774$	−15.4903	+	9.26143i	−0.556788	+	0.332895i
$775$	−9.56154	−	16.5611i	−0.343461	−	0.594891i
$776$	−4.21038	−	3.53293i	−0.151144	−	0.126825i
$777$	0.416157	+	13.2263i	0.0149295	+	0.474490i
$778$	−7.41343	−	42.0436i	−0.265784	−	1.50734i
$779$	−2.96092	−	16.7922i	−0.106086	−	0.601643i
$780$	2.10203	−	3.05132i	0.0752649	−	0.109255i
$781$	−40.6147	−	34.0798i	−1.45331	−	1.21947i
$782$	−1.10431	+	1.91271i	−0.0394899	+	0.0683985i
$783$	−28.5157	+	3.15413i	−1.01907	+	0.112719i
$784$	−1.58876	−	33.3212i	−0.0567415	−	1.19004i
$785$	0.519984	−	0.189259i	0.0185590	−	0.00675493i
$786$	11.6582	+	24.5110i	0.415835	+	0.874279i
$787$	−39.4055	−	14.3424i	−1.40465	−	0.511252i	−0.475097	−	0.879933i	$-0.657587\pi$
$787$	−39.4055	−	14.3424i	−1.40465	−	0.511252i	−0.929556	+	0.368681i	$0.879809\pi$
$788$	−0.296895	+	0.249125i	−0.0105765	+	0.00887471i
$789$	30.6012	−	8.45039i	1.08943	−	0.300842i
$790$	29.6012	+	24.8383i	1.05316	+	0.883708i
$791$	4.88821	−	20.1514i	0.173805	−	0.716502i
$792$	−8.63076	−	9.97257i	−0.306681	−	0.354360i
$793$	−5.17379			−0.183727
$794$	39.1052	−	14.2331i	1.38779	−	0.505115i
$795$	−9.60079	+	6.83233i	−0.340505	+	0.242318i
$796$	−1.86182	+	1.56225i	−0.0659905	+	0.0553726i
$797$	−12.2053	−	4.44238i	−0.432335	−	0.157357i	0.116680	−	0.993170i	$-0.462775\pi$
$797$	−12.2053	−	4.44238i	−0.432335	−	0.157357i	−0.549015	+	0.835812i	$0.684997\pi$
$798$	−4.56222	−	11.4051i	−0.161501	−	0.403736i
$799$	−2.43857	+	13.8298i	−0.0862705	+	0.489265i
$800$	−19.9303			−0.704642
$801$	−1.82157	−	0.292599i	−0.0643621	−	0.0103385i
$802$	−9.44356			−0.333464
$803$	42.6060	−	15.5073i	1.50353	−	0.547241i
$804$	−32.5560	+	8.99020i	−1.14816	+	0.317060i
$805$	2.04511	−	3.07406i	0.0720808	−	0.108346i
$806$	−9.42078	+	7.90497i	−0.331833	+	0.278441i
$807$	−4.48921	+	6.51655i	−0.158028	+	0.229393i
$808$	−8.73519	−	7.32969i	−0.307303	−	0.257858i
$809$	−14.8787	−	25.7707i	−0.523109	−	0.906051i	−0.999638	−	0.0268927i	$-0.991439\pi$
$809$	−14.8787	−	25.7707i	−0.523109	−	0.906051i	0.476529	−	0.879159i	$-0.341895\pi$
$810$	23.3415	+	7.69727i	0.820136	+	0.270454i
$811$	38.9051			1.36614			0.683072	−	0.730351i	$-0.260643\pi$
$811$	38.9051			1.36614			0.683072	+	0.730351i	$0.260643\pi$
$812$	19.8622	+	8.69209i	0.697028	+	0.305033i
$813$	−22.8151	−	1.82072i	−0.800160	−	0.0638554i
$814$	−4.27357	−	24.2366i	−0.149789	−	0.849493i
$815$	−5.78496	+	4.85415i	−0.202638	+	0.170034i
$816$	−7.29518	−	7.18467i	−0.255382	−	0.251514i
$817$	−4.34921	+	1.58298i	−0.152160	+	0.0553816i
$818$	21.2271	−	36.7664i	0.742188	−	1.28551i
$819$	7.75743	−	0.985419i	0.271066	−	0.0344333i
$820$	−12.8912	−	22.3281i	−0.450179	−	0.779733i
$821$	30.4574	+	25.5568i	1.06297	+	0.891939i	0.994397	−	0.105707i	$-0.0337104\pi$
$821$	30.4574	+	25.5568i	1.06297	+	0.891939i	0.0685747	+	0.997646i	$0.478155\pi$
$822$	6.83119	+	3.12219i	0.238265	+	0.108899i
$823$	−6.77095	−	38.3999i	−0.236020	−	1.33854i	−0.840454	−	0.541883i	$-0.817712\pi$
$823$	−6.77095	−	38.3999i	−0.236020	−	1.33854i	0.604434	−	0.796655i	$-0.293399\pi$
$824$	9.46551	−	7.94251i	0.329747	−	0.276690i
$825$	−2.14286	−	22.5127i	−0.0746048	−	0.783793i
$826$	3.45506	+	30.9738i	0.120217	+	1.07772i
$827$	15.3937	+	26.6626i	0.535290	+	0.927150i	0.999149	+	0.0412408i	$0.0131311\pi$
$827$	15.3937	+	26.6626i	0.535290	+	0.927150i	−0.463859	+	0.885909i	$0.653536\pi$
$828$	2.77930	+	3.21140i	0.0965875	+	0.111604i
$829$	−25.5293			−0.886669			−0.443335	−	0.896356i	$-0.646205\pi$
$829$	−25.5293			−0.886669			−0.443335	+	0.896356i	$0.646205\pi$
$830$	3.94689	−	22.3839i	0.136999	−	0.776958i
$831$	−50.7129	+	14.0042i	−1.75921	+	0.485799i
$832$	0.595091	+	3.37493i	0.0206311	+	0.117005i
$833$	8.46984	−	1.91339i	0.293463	−	0.0662951i
$834$	−39.4142	+	57.2138i	−1.36480	+	1.98115i
$835$	2.76274	−	15.6683i	0.0956087	−	0.542224i
$836$	4.86579	+	8.42779i	0.168287	+	0.291481i
$837$	−28.9135	−	19.2743i	−0.999397	−	0.666217i
$838$	−28.3461	+	49.0969i	−0.979201	+	1.69603i
$839$	−15.4625	+	5.62791i	−0.533826	+	0.194297i	−0.594846	−	0.803840i	$-0.702787\pi$
$839$	−15.4625	+	5.62791i	−0.533826	+	0.194297i	0.0610197	+	0.998137i	$0.480565\pi$
$840$	4.30284	+	4.81209i	0.148462	+	0.166033i
$841$	1.13760	−	0.954559i	0.0392275	−	0.0329158i
$842$	54.9273	+	19.9919i	1.89292	+	0.688966i
$843$	32.5179	−	8.97969i	1.11998	−	0.309277i
$844$	1.64286	−	9.31712i	0.0565495	−	0.320708i
$845$	−8.79965	−	15.2414i	−0.302717	−	0.524322i
$846$	55.3786	+	30.8556i	1.90396	+	1.06084i
$847$	−24.9987	+	7.34088i	−0.858965	+	0.252236i
$848$	3.84818	−	21.8241i	0.132147	−	0.749443i
$849$	−10.8812	+	7.74352i	−0.373441	+	0.265757i
$850$	−1.14975	−	6.52057i	−0.0394362	−	0.223654i
$851$	−0.478296	−	2.71255i	−0.0163958	−	0.0929851i
$852$	−24.3204	+	17.3075i	−0.833205	+	0.592944i
$853$	−1.40699	+	7.97942i	−0.0481743	+	0.273210i	−0.999374	−	0.0353643i	$-0.988741\pi$
$853$	−1.40699	+	7.97942i	−0.0481743	+	0.273210i	0.951200	+	0.308575i	$0.0998519\pi$
$854$	−6.11382	+	25.2039i	−0.209211	+	0.862461i
$855$	5.50598	+	3.06779i	0.188301	+	0.104916i
$856$	5.31883	+	9.21248i	0.181794	+	0.314876i
$857$	−1.18534	+	6.72238i	−0.0404903	+	0.229632i	−0.998337	−	0.0576480i	$-0.981640\pi$
$857$	−1.18534	+	6.72238i	−0.0404903	+	0.229632i	0.957847	+	0.287280i	$0.0927510\pi$
$858$	−14.0186	+	3.87117i	−0.478586	+	0.132160i
$859$	42.9069	+	15.6168i	1.46397	+	0.532840i	0.946455	−	0.322837i	$-0.104636\pi$
$859$	42.9069	+	15.6168i	1.46397	+	0.532840i	0.517511	+	0.855677i	$0.326859\pi$
$860$	−5.36099	+	4.49840i	−0.182808	+	0.153394i
$861$	16.9928	−	51.6906i	0.579113	−	1.76161i
$862$	18.4445	−	6.71326i	0.628223	−	0.228655i
$863$	0.791478	−	1.37088i	0.0269422	−	0.0466653i	−0.852240	−	0.523151i	$-0.824756\pi$
$863$	0.791478	−	1.37088i	0.0269422	−	0.0466653i	0.879182	+	0.476486i	$0.158090\pi$
$864$	−32.4636	+	16.0528i	−1.10443	+	0.546129i
$865$	8.85818	+	15.3428i	0.301187	+	0.521672i
$866$	2.05438	−	11.6510i	0.0698107	−	0.395916i
$867$	−15.1923	+	22.0532i	−0.515958	+	0.748966i
$868$	11.6617	+	23.5285i	0.395823	+	0.798608i
$869$	−11.2189	−	63.6256i	−0.380575	−	2.15835i
$870$	−25.1738	+	6.95163i	−0.853470	+	0.235682i
$871$	2.24769	−	12.7473i	0.0761601	−	0.431926i
$872$	18.3403			0.621081
$873$	−11.2068	−	12.9491i	−0.379293	−	0.438261i
$874$	1.27842	+	2.21429i	0.0432433	+	0.0748995i
$875$	3.37268	+	30.2353i	0.114017	+	1.02214i
$876$	−2.41885	−	25.4123i	−0.0817254	−	0.858602i
$877$	17.0243	−	14.2851i	0.574869	−	0.482372i	−0.308389	−	0.951260i	$-0.599790\pi$
$877$	17.0243	−	14.2851i	0.574869	−	0.482372i	0.883257	+	0.468888i	$0.155345\pi$
$878$	−6.55978	−	37.2024i	−0.221382	−	1.25552i
$879$	21.5480	+	9.84848i	0.726795	+	0.332181i
$880$	−24.3865	−	20.4627i	−0.822068	−	0.689797i
$881$	12.8210	+	22.2065i	0.431949	+	0.748158i	0.997041	−	0.0768702i	$-0.0244927\pi$
$881$	12.8210	+	22.2065i	0.431949	+	0.748158i	−0.565092	+	0.825028i	$0.691159\pi$
$882$	4.36645	−	38.9545i	0.147026	−	1.31167i
$883$	−17.2315	+	29.8458i	−0.579886	+	1.00439i	0.415606	+	0.909545i	$0.363569\pi$
$883$	−17.2315	+	29.8458i	−0.579886	+	1.00439i	−0.995492	+	0.0948467i	$0.969764\pi$
$884$	−1.70443	+	0.620362i	−0.0573262	+	0.0208650i
$885$	−11.3938	−	11.2212i	−0.382998	−	0.377196i
$886$	−12.6943	+	10.6518i	−0.426474	+	0.357854i
$887$	2.16361	+	12.2704i	0.0726469	+	0.412001i	0.999345	+	0.0361938i	$0.0115234\pi$
$887$	2.16361	+	12.2704i	0.0726469	+	0.412001i	−0.926698	+	0.375807i	$0.877366\pi$
$888$	4.80041	+	0.383089i	0.161091	+	0.0128556i
$889$	27.0655	−	19.9288i	0.907746	−	0.668390i
$890$	−1.67942			−0.0562943
$891$	−21.6233	−	34.9441i	−0.724407	−	1.17067i
$892$	−4.28964	−	7.42988i	−0.143628	−	0.248771i
$893$	12.4539	+	10.4500i	0.416753	+	0.349697i
$894$	−8.05631	+	11.6946i	−0.269443	+	0.391125i
$895$	−13.8723	+	11.6402i	−0.463700	+	0.389090i
$896$	−19.6620	−	1.24912i	−0.656861	−	0.0417302i
$897$	−1.56895	+	0.433260i	−0.0523858	+	0.0144661i
$898$	−21.1127	+	7.68438i	−0.704538	+	0.256431i
$899$	36.9235			1.23147
$900$	−12.5711	−	2.01929i	−0.419036	−	0.0673096i
$901$	5.76840			0.192173
$902$	−17.5725	+	99.6585i	−0.585100	+	3.31827i
$903$	−14.6185	−	2.10599i	−0.486473	−	0.0700830i
$904$	−7.09106	−	2.58094i	−0.235845	−	0.0858407i
$905$	−17.7861	+	14.9243i	−0.591229	+	0.496100i
$906$	39.0447	−	27.7858i	1.29717	−	0.923123i
$907$	−19.0510	+	6.93399i	−0.632577	+	0.230239i	−0.638353	−	0.769744i	$-0.720384\pi$
$907$	−19.0510	+	6.93399i	−0.632577	+	0.230239i	0.00577554	+	0.999983i	$0.498162\pi$
$908$	19.0304			0.631547
$909$	−23.2505	−	26.8652i	−0.771171	−	0.891063i
$910$	6.82988	−	2.00560i	0.226408	−	0.0664850i
$911$	−16.6560	−	13.9761i	−0.551838	−	0.463047i	0.323725	−	0.946151i	$-0.395065\pi$
$911$	−16.6560	−	13.9761i	−0.551838	−	0.463047i	−0.875563	+	0.483104i	$0.839509\pi$
$912$	−11.4259	+	3.15520i	−0.378348	+	0.104479i
$913$	−29.1115	+	24.4275i	−0.963451	+	0.808431i
$914$	−5.64526	−	2.05471i	−0.186729	−	0.0679637i
$915$	−5.71589	−	12.0175i	−0.188962	−	0.397285i
$916$	8.17391	−	2.97506i	0.270073	−	0.0982987i
$917$	−5.23617	+	21.5859i	−0.172913	+	0.712828i
$918$	−7.12477	−	9.69500i	−0.235152	−	0.319983i
$919$	−8.04117	+	13.9277i	−0.265254	+	0.459433i	−0.967630	−	0.252373i	$-0.918789\pi$
$919$	−8.04117	+	13.9277i	−0.265254	+	0.459433i	0.702376	+	0.711806i	$0.252122\pi$
$920$	−1.02930	−	0.863688i	−0.0339351	−	0.0284749i
$921$	−17.1105	+	24.8376i	−0.563809	+	0.818427i
$922$	11.0709	+	62.7860i	0.364599	+	2.06775i
$923$	−1.98653	−	11.2662i	−0.0653874	−	0.370831i
$924$	0.976622	+	31.0390i	0.0321285	+	1.02111i
$925$	6.32551	+	5.30773i	0.207981	+	0.174517i
$926$	10.2119	+	17.6876i	0.335585	+	0.581250i
$927$	33.0441	−	19.7565i	1.08531	−	0.648890i
$928$	19.2410	−	33.3265i	0.631618	−	1.09399i
$929$	−34.8423	−	29.2361i	−1.14314	−	0.959206i	−0.143601	−	0.989636i	$-0.545868\pi$
$929$	−34.8423	−	29.2361i	−1.14314	−	0.959206i	−0.999537	+	0.0304292i	$0.990313\pi$
$930$	−28.7692	−	13.1489i	−0.943380	−	0.431171i
$931$	2.98433	−	9.59917i	0.0978075	−	0.314600i
$932$	−1.35494	−	0.493157i	−0.0443824	−	0.0161539i
$933$	−42.1800	+	30.0171i	−1.38091	+	0.982716i
$934$	−72.6279	+	26.4344i	−2.37646	+	0.864960i
$935$	4.14320	−	7.17623i	0.135497	−	0.234688i
$936$	−0.0434354	−	2.84543i	−0.00141973	−	0.0930057i
$937$	19.6409	−	34.0190i	0.641639	−	1.11135i	−0.343428	−	0.939179i	$-0.611588\pi$
$937$	19.6409	−	34.0190i	0.641639	−	1.11135i	0.985067	−	0.172172i	$-0.0550784\pi$
$938$	−59.4420	−	26.0129i	−1.94085	−	0.849352i
$939$	−1.38127	+	5.31694i	−0.0450759	+	0.173512i
$940$	23.0995	+	8.40753i	0.753423	+	0.274223i
$941$	34.2173	+	12.4541i	1.11545	+	0.405991i	0.832990	−	0.553288i	$-0.186627\pi$
$941$	34.2173	+	12.4541i	1.11545	+	0.405991i	0.282461	+	0.959279i	$0.408849\pi$
$942$	−0.693715	+	1.00700i	−0.0226025	+	0.0328098i
$943$	−1.96670	+	11.1537i	−0.0640447	+	0.363216i
$944$	30.0744			0.978837
$945$	10.8591	+	16.9300i	0.353248	+	0.550732i
$946$	27.4683			0.893071
$947$	2.93396	−	16.6393i	0.0953410	−	0.540705i	−0.899301	−	0.437329i	$-0.855924\pi$
$947$	2.93396	−	16.6393i	0.0953410	−	0.540705i	0.994642	−	0.103376i	$-0.0329645\pi$
$948$	−36.2593	−	2.89361i	−1.17765	−	0.0939802i
$949$	9.19319	+	3.34605i	0.298424	+	0.108617i
$950$	−7.20286	−	2.62163i	−0.233691	−	0.0850567i
$951$	8.24185	+	8.11700i	0.267260	+	0.263212i
$952$	−0.350319	−	3.14053i	−0.0113539	−	0.101785i
$953$	−10.9661	+	18.9938i	−0.355226	+	0.615270i	−0.987157	−	0.159755i	$-0.948930\pi$
$953$	−10.9661	+	18.9938i	−0.355226	+	0.615270i	0.631930	+	0.775025i	$0.282263\pi$
$954$	8.53168	−	24.6027i	0.276223	−	0.796541i
$955$	−11.1209	+	19.2620i	−0.359865	+	0.623304i
$956$	33.1349	−	12.0601i	1.07166	−	0.390052i
$957$	39.7135	+	18.1510i	1.28375	+	0.586738i
$958$	14.5634	+	5.30066i	0.470523	+	0.171257i
$959$	2.72958	+	5.50718i	0.0881429	+	0.177836i
$960$	−7.18170	+	5.11081i	−0.231788	+	0.164951i
$961$	10.5115	+	8.82019i	0.339081	+	0.284522i
$962$	2.65513	−	4.59883i	0.0856049	−	0.148272i
$963$	11.8102	+	30.9691i	0.380579	+	0.997967i
$964$	0.212405	+	0.367897i	0.00684111	+	0.0118492i
$965$	21.0711	+	17.6808i	0.678303	+	0.569164i
$966$	0.256595	+	8.15508i	0.00825579	+	0.262385i
$967$	2.64027	+	14.9737i	0.0849053	+	0.481522i	0.997377	+	0.0723820i	$0.0230601\pi$
$967$	2.64027	+	14.9737i	0.0849053	+	0.481522i	−0.912472	+	0.409140i	$0.865829\pi$
$968$	1.64647	+	9.33758i	0.0529195	+	0.300121i
$969$	−1.32527	−	2.78632i	−0.0425737	−	0.0895096i
$970$	−11.9418	−	10.0204i	−0.383428	−	0.321734i
$971$	−12.0551	+	20.8800i	−0.386866	+	0.670072i	−0.992026	−	0.126032i	$-0.959776\pi$
$971$	−12.0551	+	20.8800i	−0.386866	+	0.670072i	0.605160	+	0.796104i	$0.293109\pi$
$972$	−22.1029	+	6.83624i	−0.708952	+	0.219272i
$973$	−54.5521	+	16.0193i	−1.74886	+	0.513554i
$974$	−42.0039	+	15.2882i	−1.34589	+	0.489864i
$975$	2.76822	−	4.01836i	0.0886541	−	0.128691i
$976$	23.5172	+	8.55958i	0.752769	+	0.273985i
$977$	22.0256	−	18.4817i	0.704662	−	0.591282i	−0.218434	−	0.975852i	$-0.570095\pi$
$977$	22.0256	−	18.4817i	0.704662	−	0.591282i	0.923096	+	0.384570i	$0.125650\pi$
$978$	4.19603	−	16.1519i	0.134174	−	0.516480i
$979$	2.15099	+	1.80490i	0.0687460	+	0.0576848i
$980$	−0.723903	−	15.1824i	−0.0231242	−	0.484985i
$981$	56.4212	+	9.06292i	1.80139	+	0.289357i
$982$	−73.3705			−2.34135
$983$	−4.51817	+	1.64448i	−0.144107	+	0.0524508i	−0.413067	−	0.910701i	$-0.635542\pi$
$983$	−4.51817	+	1.64448i	−0.144107	+	0.0524508i	0.268960	+	0.963151i	$0.413320\pi$
$984$	−18.0097	−	8.23130i	−0.574127	−	0.262404i
$985$	0.292665	−	0.245575i	0.00932509	−	0.00782468i
$986$	12.0134	+	4.37251i	0.382583	+	0.139249i
$987$	19.2679	+	48.1680i	0.613305	+	1.53320i
$988$	−0.364627	+	2.06790i	−0.0116003	+	0.0657887i
$989$	3.07424			0.0977551
$990$	−24.4792	−	28.2850i	−0.778001	−	0.898955i
$991$	52.7537			1.67578			0.837888	−	0.545842i	$-0.183790\pi$
$991$	52.7537			1.67578			0.837888	+	0.545842i	$0.183790\pi$
$992$	43.7986	−	15.9414i	1.39061	−	0.506140i
$993$	−6.15712	−	6.06385i	−0.195390	−	0.192430i
$994$	−57.2303	−	3.63582i	−1.81523	−	0.115321i
$995$	1.83529	−	1.53999i	0.0581827	−	0.0488211i
$996$	9.18998	+	19.3216i	0.291196	+	0.612228i
$997$	39.3451	+	33.0144i	1.24607	+	1.04558i	0.997024	+	0.0770861i	$0.0245616\pi$
$997$	39.3451	+	33.0144i	1.24607	+	1.04558i	0.249046	+	0.968492i	$0.419883\pi$
$998$	−5.84523	−	10.1242i	−0.185028	−	0.320477i
$999$	14.5785	+	3.55066i	0.461242	+	0.112338i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.u.a.142.4	yes	132
3.2	odd	2		567.2.u.a.100.19		132
7.4	even	3		189.2.w.a.88.4	yes	132
21.11	odd	6		567.2.w.a.424.19		132
27.4	even	9		189.2.w.a.58.4	yes	132
27.23	odd	18		567.2.w.a.226.19		132
189.4	even	9	inner	189.2.u.a.4.4	✓	132
189.158	odd	18		567.2.u.a.550.19		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.u.a.4.4	✓	132	189.4	even	9	inner
189.2.u.a.142.4	yes	132	1.1	even	1	trivial
189.2.w.a.58.4	yes	132	27.4	even	9
189.2.w.a.88.4	yes	132	7.4	even	3
567.2.u.a.100.19		132	3.2	odd	2
567.2.u.a.550.19		132	189.158	odd	18
567.2.w.a.226.19		132	27.23	odd	18
567.2.w.a.424.19		132	21.11	odd	6

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.u (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.324131 + 1.83824i) q^{2} +(0.743955 + 1.56414i) q^{3} +(-1.39467 - 0.507617i) q^{4} +(1.37479 + 0.500384i) q^{5} +(-3.11640 + 0.860580i) q^{6} +(-2.42382 - 1.06071i) q^{7} +(-0.481419 + 0.833843i) q^{8} +(-1.89306 + 2.32730i) q^{9} +(-1.36544 + 2.36501i) q^{10} +(4.29056 - 1.56163i) q^{11} +(-0.243586 - 2.55910i) q^{12} +(0.925783 + 0.336957i) q^{13} +(2.73547 - 4.11174i) q^{14} +(0.240115 + 2.52263i) q^{15} +(-3.65064 - 3.06325i) q^{16} +(0.620234 - 1.07428i) q^{17} +(-3.66453 - 4.23424i) q^{18} +(-0.718027 - 1.24366i) q^{19} +(-1.66338 - 1.39574i) q^{20} +(-0.144117 - 4.58031i) q^{21} +(1.47995 + 8.39323i) q^{22} +(0.165636 + 0.939366i) q^{23} +(-1.66240 - 0.132665i) q^{24} +(-2.19055 - 1.83809i) q^{25} +(-0.919482 + 1.59259i) q^{26} +(-5.04857 - 1.22960i) q^{27} +(2.84199 + 2.70971i) q^{28} +(5.18835 - 1.88840i) q^{29} +(-4.71503 - 0.376275i) q^{30} +(6.28413 + 2.28724i) q^{31} +(5.33911 - 4.48005i) q^{32} +(5.63460 + 5.54924i) q^{33} +(1.77374 + 1.48834i) q^{34} +(-2.80149 - 2.67110i) q^{35} +(3.82157 - 2.28486i) q^{36} -2.88764 q^{37} +(2.51887 - 0.916795i) q^{38} +(0.161693 + 1.69873i) q^{39} +(-1.07909 + 0.905468i) q^{40} +(11.1576 + 4.06104i) q^{41} +(8.46640 + 1.21970i) q^{42} +(0.559660 - 3.17399i) q^{43} -6.77661 q^{44} +(-3.76711 + 2.25230i) q^{45} -1.78046 q^{46} +(-10.6381 + 3.87197i) q^{47} +(2.07544 - 7.98904i) q^{48} +(4.74979 + 5.14193i) q^{49} +(4.08886 - 3.43096i) q^{50} +(2.14175 + 0.170918i) q^{51} +(-1.12011 - 0.939887i) q^{52} +(2.32509 + 4.02717i) q^{53} +(3.89670 - 8.88191i) q^{54} +6.68005 q^{55} +(2.05134 - 1.51044i) q^{56} +(1.41108 - 2.04832i) q^{57} +(1.78963 + 10.1495i) q^{58} +(-4.83431 + 4.05647i) q^{59} +(0.945652 - 3.64012i) q^{60} +(-4.93482 + 1.79613i) q^{61} +(-6.24136 + 10.8104i) q^{62} +(7.05702 - 3.63296i) q^{63} +(1.73924 + 3.01245i) q^{64} +(1.10415 + 0.926495i) q^{65} +(-12.0272 + 8.55904i) q^{66} +(-2.28146 - 12.9388i) q^{67} +(-1.41034 + 1.18342i) q^{68} +(-1.34607 + 0.957924i) q^{69} +(5.81816 - 4.28402i) q^{70} +(-5.80593 - 10.0562i) q^{71} +(-1.02924 - 2.69892i) q^{72} +9.93018 q^{73} +(0.935973 - 5.30816i) q^{74} +(1.24535 - 4.79377i) q^{75} +(0.370105 + 2.09897i) q^{76} +(-12.0560 - 0.765911i) q^{77} +(-3.17508 - 0.253382i) q^{78} +(2.45710 - 13.9349i) q^{79} +(-3.48608 - 6.03807i) q^{80} +(-1.83264 - 8.81144i) q^{81} +(-11.0817 + 19.1940i) q^{82} +(-7.82112 + 2.84665i) q^{83} +(-2.12405 + 6.46116i) q^{84} +(1.39025 - 1.16656i) q^{85} +(5.65314 + 2.05757i) q^{86} +(6.81363 + 6.71041i) q^{87} +(-0.763399 + 4.32945i) q^{88} +(0.307487 + 0.532584i) q^{89} +(-2.91922 - 7.65489i) q^{90} +(-1.88652 - 1.79871i) q^{91} +(0.245832 - 1.39418i) q^{92} +(1.09756 + 11.5309i) q^{93} +(-3.66944 - 20.8104i) q^{94} +(-0.364832 - 2.06907i) q^{95} +(10.9795 + 5.01816i) q^{96} +(-0.991251 + 5.62167i) q^{97} +(-10.9916 + 7.06459i) q^{98} +(-4.48790 + 12.9417i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9} + 3 q^{10} - 15 q^{11} - 3 q^{12} - 12 q^{13} - 30 q^{14} + 9 q^{16} + 27 q^{17} - 3 q^{18} + 3 q^{19} - 18 q^{20}+ \cdots + 24 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 3 * q^5 - 18 * q^6 - 6 * q^7 - 6 * q^8 - 15 * q^9 + 3 * q^10 - 15 * q^11 - 3 * q^12 - 12 * q^13 - 30 * q^14 + 9 * q^16 + 27 * q^17 - 3 * q^18 + 3 * q^19 - 18 * q^20 + 15 * q^21 - 12 * q^22 - 36 * q^23 - 72 * q^24 - 3 * q^25 + 30 * q^26 - 12 * q^27 - 12 * q^28 - 30 * q^29 - 3 * q^30 - 3 * q^31 - 75 * q^32 + 15 * q^33 - 18 * q^34 + 15 * q^35 - 60 * q^36 - 6 * q^37 + 69 * q^38 + 51 * q^39 + 51 * q^40 - 39 * q^42 - 12 * q^43 - 6 * q^44 - 21 * q^45 - 6 * q^46 - 21 * q^47 + 90 * q^48 - 42 * q^49 - 39 * q^50 + 33 * q^51 + 9 * q^52 + 9 * q^53 - 9 * q^54 - 24 * q^55 + 111 * q^56 - 18 * q^57 - 3 * q^58 + 27 * q^59 - 63 * q^60 - 21 * q^61 + 75 * q^62 + 63 * q^63 - 30 * q^64 - 90 * q^65 - 3 * q^66 - 3 * q^67 - 30 * q^68 - 6 * q^69 + 39 * q^70 - 18 * q^71 + 183 * q^72 - 42 * q^73 + 51 * q^74 - 45 * q^75 - 24 * q^76 + 15 * q^77 - 30 * q^78 + 15 * q^79 + 102 * q^80 - 87 * q^81 - 6 * q^82 - 42 * q^83 + 135 * q^84 - 63 * q^85 - 93 * q^86 + 75 * q^87 - 51 * q^88 + 75 * q^89 - 39 * q^90 - 21 * q^91 - 66 * q^92 + 81 * q^93 + 33 * q^94 + 15 * q^95 - 171 * q^96 - 12 * q^97 - 36 * q^98 + 24 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more