LMFDB - Embedded newform 189.2.ba.a.5.16

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			5.16
Character	$\chi$	$=$	189.5
Dual form			189.2.ba.a.38.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.10969 - 0.195669i) q^{2} +(1.47374 + 0.909998i) q^{3} +(-0.686257 + 0.249777i) q^{4} +(0.705645 - 4.00191i) q^{5} +(1.81345 + 0.721453i) q^{6} +(2.51373 + 0.825312i) q^{7} +(-2.66435 + 1.53826i) q^{8} +(1.34381 + 2.68220i) q^{9} -4.57896i q^{10} +(-4.26189 + 0.751487i) q^{11} +(-1.23866 - 0.256386i) q^{12} +(0.646482 - 0.770447i) q^{13} +(2.95096 + 0.423983i) q^{14} +(4.68167 - 5.25563i) q^{15} +(-1.53673 + 1.28947i) q^{16} -2.69589 q^{17} +(2.01603 + 2.71347i) q^{18} +5.58170i q^{19} +(0.515332 + 2.92259i) q^{20} +(2.95355 + 3.50379i) q^{21} +(-4.58234 + 1.66784i) q^{22} +(2.40867 - 2.87054i) q^{23} +(-5.32637 - 0.157556i) q^{24} +(-10.8189 - 3.93776i) q^{25} +(0.566643 - 0.981454i) q^{26} +(-0.460374 + 5.17572i) q^{27} +(-1.93121 + 0.0614972i) q^{28} +(-0.209206 - 0.249322i) q^{29} +(4.16684 - 6.74819i) q^{30} +(0.235207 + 0.646225i) q^{31} +(2.50212 - 2.98191i) q^{32} +(-6.96477 - 2.77082i) q^{33} +(-2.99160 + 0.527501i) q^{34} +(5.07663 - 9.47737i) q^{35} +(-1.59215 - 1.50502i) q^{36} +(-1.72047 - 2.97994i) q^{37} +(1.09216 + 6.19396i) q^{38} +(1.65385 - 0.547140i) q^{39} +(4.27591 + 11.7480i) q^{40} +(-5.76056 - 4.83369i) q^{41} +(3.96311 + 3.31020i) q^{42} +(-3.15647 - 1.14886i) q^{43} +(2.73705 - 1.58024i) q^{44} +(11.6822 - 3.48512i) q^{45} +(2.11120 - 3.65671i) q^{46} +(-1.47767 - 0.537827i) q^{47} +(-3.43816 + 0.501921i) q^{48} +(5.63772 + 4.14923i) q^{49} +(-12.7761 - 2.25278i) q^{50} +(-3.97303 - 2.45325i) q^{51} +(-0.251212 + 0.690201i) q^{52} +(0.919027 - 0.530601i) q^{53} +(0.501851 + 5.83353i) q^{54} +17.5860i q^{55} +(-7.96702 + 1.66787i) q^{56} +(-5.07934 + 8.22596i) q^{57} +(-0.280939 - 0.235735i) q^{58} +(8.43834 + 7.08061i) q^{59} +(-1.90009 + 4.77609i) q^{60} +(2.79510 - 7.67947i) q^{61} +(0.387453 + 0.671088i) q^{62} +(1.16432 + 7.85139i) q^{63} +(4.19918 - 7.27319i) q^{64} +(-2.62707 - 3.13082i) q^{65} +(-8.27090 - 1.71197i) q^{66} +(0.201732 - 1.14408i) q^{67} +(1.85007 - 0.673371i) q^{68} +(6.16193 - 2.03854i) q^{69} +(3.77907 - 11.5103i) q^{70} +(8.98568 + 5.18788i) q^{71} +(-7.70630 - 5.07919i) q^{72} +(4.91412 + 2.83717i) q^{73} +(-2.49227 - 2.97017i) q^{74} +(-12.3609 - 15.6484i) q^{75} +(-1.39418 - 3.83048i) q^{76} +(-11.3335 - 1.62835i) q^{77} +(1.72820 - 0.930762i) q^{78} +(0.388313 + 2.20223i) q^{79} +(4.07597 + 7.05979i) q^{80} +(-5.38836 + 7.20871i) q^{81} +(-7.33824 - 4.23674i) q^{82} +(7.89183 - 6.62203i) q^{83} +(-2.90206 - 1.66677i) q^{84} +(-1.90234 + 10.7887i) q^{85} +(-3.72750 - 0.657259i) q^{86} +(-0.0814323 - 0.557813i) q^{87} +(10.1992 - 8.55815i) q^{88} +13.4427 q^{89} +(12.2817 - 6.15324i) q^{90} +(2.26094 - 1.40315i) q^{91} +(-0.935970 + 2.57156i) q^{92} +(-0.241430 + 1.16640i) q^{93} +(-1.74499 - 0.307689i) q^{94} +(22.3375 + 3.93870i) q^{95} +(6.40099 - 2.11763i) q^{96} +(-3.48085 + 9.56355i) q^{97} +(7.06800 + 3.50124i) q^{98} +(-7.74280 - 10.4214i) 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 $

$2$	1.10969	−	0.195669i	0.784670	−	0.138359i	0.233062	−	0.972462i	$-0.425125\pi$
$2$	1.10969	−	0.195669i	0.784670	−	0.138359i	0.551608	+	0.834103i	$0.314014\pi$
$3$	1.47374	+	0.909998i	0.850863	+	0.525388i
$3$	1.47374	+	0.909998i	0.850863	+	0.525388i
$4$	−0.686257	+	0.249777i	−0.343128	+	0.124889i
$5$	0.705645	−	4.00191i	0.315574	−	1.78971i	−0.253408	−	0.967360i	$-0.581551\pi$
$5$	0.705645	−	4.00191i	0.315574	−	1.78971i	0.568982	−	0.822350i	$-0.307337\pi$
$6$	1.81345	+	0.721453i	0.740339	+	0.294532i
$7$	2.51373	+	0.825312i	0.950102	+	0.311939i
$7$	2.51373	+	0.825312i	0.950102	+	0.311939i
$8$	−2.66435	+	1.53826i	−0.941991	+	0.543859i
$9$	1.34381	+	2.68220i	0.447936	+	0.894066i
$10$		−	4.57896i		−	1.44799i
$11$	−4.26189	+	0.751487i	−1.28501	+	0.226582i	−0.774106	−	0.633056i	$-0.781800\pi$
$11$	−4.26189	+	0.751487i	−1.28501	+	0.226582i	−0.510904	+	0.859638i	$0.670689\pi$
$12$	−1.23866	−	0.256386i	−0.357570	−	0.0740124i
$13$	0.646482	−	0.770447i	0.179302	−	0.213683i	−0.668906	−	0.743347i	$-0.733237\pi$
$13$	0.646482	−	0.770447i	0.179302	−	0.213683i	0.848208	+	0.529663i	$0.177682\pi$
$14$	2.95096	+	0.423983i	0.788676	+	0.113314i
$15$	4.68167	−	5.25563i	1.20880	−	1.35700i
$16$	−1.53673	+	1.28947i	−0.384184	+	0.322368i
$17$	−2.69589			−0.653849			−0.326925	−	0.945050i	$-0.606012\pi$
$17$	−2.69589			−0.653849			−0.326925	+	0.945050i	$0.606012\pi$
$18$	2.01603	+	2.71347i	0.475183	+	0.639571i
$19$			5.58170i			1.28053i	0.768154	+	0.640265i	$0.221175\pi$
$19$			5.58170i			1.28053i	−0.768154	+	0.640265i	$0.778825\pi$
$20$	0.515332	+	2.92259i	0.115232	+	0.653512i
$21$	2.95355	+	3.50379i	0.644518	+	0.764589i
$22$	−4.58234	+	1.66784i	−0.976959	+	0.355584i
$23$	2.40867	−	2.87054i	0.502242	−	0.598548i	−0.454045	−	0.890979i	$-0.650020\pi$
$23$	2.40867	−	2.87054i	0.502242	−	0.598548i	0.956287	+	0.292430i	$0.0944640\pi$
$24$	−5.32637	−	0.157556i	−1.08724	−	0.0321611i
$25$	−10.8189	−	3.93776i	−2.16378	−	0.787552i
$26$	0.566643	−	0.981454i	0.111128	−	0.192479i
$27$	−0.460374	+	5.17572i	−0.0885991	+	0.996067i
$28$	−1.93121	+	0.0614972i	−0.364965	+	0.0116219i
$29$	−0.209206	−	0.249322i	−0.0388486	−	0.0462979i	0.746270	−	0.665643i	$-0.231843\pi$
$29$	−0.209206	−	0.249322i	−0.0388486	−	0.0462979i	−0.785119	+	0.619345i	$0.787398\pi$
$30$	4.16684	−	6.74819i	0.760758	−	1.23204i
$31$	0.235207	+	0.646225i	0.0422444	+	0.116065i	0.959021	−	0.283335i	$-0.0914407\pi$
$31$	0.235207	+	0.646225i	0.0422444	+	0.116065i	−0.916777	+	0.399400i	$0.869218\pi$
$32$	2.50212	−	2.98191i	0.442316	−	0.527132i
$33$	−6.96477	−	2.77082i	−1.21241	−	0.482338i
$34$	−2.99160	+	0.527501i	−0.513056	+	0.0904656i
$35$	5.07663	−	9.47737i	0.858107	−	1.60197i
$36$	−1.59215	−	1.50502i	−0.265358	−	0.250837i
$37$	−1.72047	−	2.97994i	−0.282843	−	0.489898i	0.689241	−	0.724532i	$-0.257944\pi$
$37$	−1.72047	−	2.97994i	−0.282843	−	0.489898i	−0.972084	+	0.234634i	$0.924611\pi$
$38$	1.09216	+	6.19396i	0.177172	+	1.00479i
$39$	1.65385	−	0.547140i	0.264828	−	0.0876125i
$40$	4.27591	+	11.7480i	0.676081	+	1.85752i
$41$	−5.76056	−	4.83369i	−0.899649	−	0.754895i	0.0704731	−	0.997514i	$-0.477549\pi$
$41$	−5.76056	−	4.83369i	−0.899649	−	0.754895i	−0.970122	+	0.242619i	$0.921994\pi$
$42$	3.96311	+	3.31020i	0.611522	+	0.510776i
$43$	−3.15647	−	1.14886i	−0.481357	−	0.175199i	0.0899334	−	0.995948i	$-0.471335\pi$
$43$	−3.15647	−	1.14886i	−0.481357	−	0.175199i	−0.571290	+	0.820748i	$0.693557\pi$
$44$	2.73705	−	1.58024i	0.412626	−	0.238230i
$45$	11.6822	−	3.48512i	1.74147	−	0.519531i
$46$	2.11120	−	3.65671i	0.311280	−	0.539152i
$47$	−1.47767	−	0.537827i	−0.215540	−	0.0784501i	0.231993	−	0.972717i	$-0.425475\pi$
$47$	−1.47767	−	0.537827i	−0.215540	−	0.0784501i	−0.447533	+	0.894267i	$0.647697\pi$
$48$	−3.43816	+	0.501921i	−0.496256	+	0.0724460i
$49$	5.63772	+	4.14923i	0.805389	+	0.592747i
$50$	−12.7761	−	2.25278i	−1.80682	−	0.318591i
$51$	−3.97303	−	2.45325i	−0.556336	−	0.343524i
$52$	−0.251212	+	0.690201i	−0.0348369	+	0.0957136i
$53$	0.919027	−	0.530601i	0.126238	−	0.0728836i	−0.435551	−	0.900164i	$-0.643447\pi$
$53$	0.919027	−	0.530601i	0.126238	−	0.0728836i	0.561789	+	0.827280i	$0.310113\pi$
$54$	0.501851	+	5.83353i	0.0682933	+	0.793843i
$55$			17.5860i			2.37130i
$56$	−7.96702	+	1.66787i	−1.06464	+	0.222878i
$57$	−5.07934	+	8.22596i	−0.672775	+	1.08956i
$58$	−0.280939	−	0.235735i	−0.0368890	−	0.0309536i
$59$	8.43834	+	7.08061i	1.09858	+	0.921816i	0.997329	−	0.0730447i	$-0.0232716\pi$
$59$	8.43834	+	7.08061i	1.09858	+	0.921816i	0.101249	+	0.994861i	$0.467716\pi$
$60$	−1.90009	+	4.77609i	−0.245301	+	0.616590i
$61$	2.79510	−	7.67947i	0.357876	−	0.983256i	−0.621889	−	0.783105i	$-0.713635\pi$
$61$	2.79510	−	7.67947i	0.357876	−	0.983256i	0.979765	−	0.200151i	$-0.0641431\pi$
$62$	0.387453	+	0.671088i	0.0492065	+	0.0852282i
$63$	1.16432	+	7.85139i	0.146691	+	0.989182i
$64$	4.19918	−	7.27319i	0.524897	−	0.909148i
$65$	−2.62707	−	3.13082i	−0.325848	−	0.388331i
$66$	−8.27090	−	1.71197i	−1.01808	−	0.210729i
$67$	0.201732	−	1.14408i	0.0246455	−	0.139772i	−0.970002	−	0.243096i	$-0.921837\pi$
$67$	0.201732	−	1.14408i	0.0246455	−	0.139772i	0.994648	+	0.103325i	$0.0329480\pi$
$68$	1.85007	−	0.673371i	0.224354	−	0.0816583i
$69$	6.16193	−	2.03854i	0.741809	−	0.245411i
$70$	3.77907	−	11.5103i	0.451685	−	1.37574i
$71$	8.98568	+	5.18788i	1.06640	+	0.615688i	0.927197	−	0.374575i	$-0.122211\pi$
$71$	8.98568	+	5.18788i	1.06640	+	0.615688i	0.139207	+	0.990263i	$0.455545\pi$
$72$	−7.70630	−	5.07919i	−0.908197	−	0.598588i
$73$	4.91412	+	2.83717i	0.575154	+	0.332066i	0.759205	−	0.650851i	$-0.225588\pi$
$73$	4.91412	+	2.83717i	0.575154	+	0.332066i	−0.184051	+	0.982917i	$0.558921\pi$
$74$	−2.49227	−	2.97017i	−0.289720	−	0.345275i
$75$	−12.3609	−	15.6484i	−1.42731	−	1.80692i
$76$	−1.39418	−	3.83048i	−0.159924	−	0.439386i
$77$	−11.3335	−	1.62835i	−1.29157	−	0.185568i
$78$	1.72820	−	0.930762i	0.195681	−	0.105388i
$79$	0.388313	+	2.20223i	0.0436886	+	0.247770i	0.998829	−	0.0483836i	$-0.0154070\pi$
$79$	0.388313	+	2.20223i	0.0436886	+	0.247770i	−0.955140	+	0.296154i	$0.904296\pi$
$80$	4.07597	+	7.05979i	0.455707	+	0.789308i
$81$	−5.38836	+	7.20871i	−0.598707	+	0.800968i
$82$	−7.33824	−	4.23674i	−0.810374	−	0.467869i
$83$	7.89183	−	6.62203i	0.866241	−	0.726863i	−0.0970620	−	0.995278i	$-0.530945\pi$
$83$	7.89183	−	6.62203i	0.866241	−	0.726863i	0.963303	+	0.268416i	$0.0865001\pi$
$84$	−2.90206	−	1.66677i	−0.316641	−	0.181859i
$85$	−1.90234	+	10.7887i	−0.206338	+	1.17020i
$86$	−3.72750	−	0.657259i	−0.401946	−	0.0708740i
$87$	−0.0814323	−	0.557813i	−0.00873046	−	0.0598038i
$88$	10.1992	−	8.55815i	1.08724	−	0.912301i
$89$	13.4427			1.42492			0.712462	−	0.701711i	$-0.247580\pi$
$89$	13.4427			1.42492			0.712462	+	0.701711i	$0.247580\pi$
$90$	12.2817	−	6.15324i	1.29460	−	0.648608i
$91$	2.26094	−	1.40315i	0.237011	−	0.147090i
$92$	−0.935970	+	2.57156i	−0.0975816	+	0.268103i
$93$	−0.241430	+	1.16640i	−0.0250352	+	0.120950i
$94$	−1.74499	−	0.307689i	−0.179982	−	0.0317357i
$95$	22.3375	+	3.93870i	2.29178	+	0.404102i
$96$	6.40099	−	2.11763i	0.653299	−	0.216130i
$97$	−3.48085	+	9.56355i	−0.353426	+	0.971031i	0.627834	+	0.778347i	$0.283942\pi$
$97$	−3.48085	+	9.56355i	−0.353426	+	0.971031i	−0.981261	+	0.192684i	$0.938281\pi$
$98$	7.06800	+	3.50124i	0.713976	+	0.353679i
$99$	−7.74280	−	10.4214i	−0.778181	−	1.04739i
$100$	8.40811			0.840811
$101$	−4.69272	+	3.93766i	−0.466943	+	0.391812i	−0.845678	−	0.533694i	$-0.820804\pi$
$101$	−4.69272	+	3.93766i	−0.466943	+	0.391812i	0.378735	+	0.925505i	$0.376359\pi$
$102$	−4.88887	−	1.94496i	−0.484070	−	0.192579i
$103$	3.00575	+	0.529996i	0.296166	+	0.0522220i	0.319757	−	0.947500i	$-0.396399\pi$
$103$	3.00575	+	0.529996i	0.296166	+	0.0522220i	−0.0235910	+	0.999722i	$0.507510\pi$
$104$	−0.537304	+	3.04720i	−0.0526870	+	0.298803i
$105$	16.1060	−	9.34743i	1.57179	−	0.912216i
$106$	0.916014	−	0.768627i	0.0889712	−	0.0746557i
$107$	−10.2649	−	5.92642i	−0.992341	−	0.572929i	−0.0863680	−	0.996263i	$-0.527526\pi$
$107$	−10.2649	−	5.92642i	−0.992341	−	0.572929i	−0.905973	+	0.423335i	$0.860859\pi$
$108$	−0.976840	−	3.66686i	−0.0939965	−	0.352844i
$109$	−1.21625	−	2.10660i	−0.116496	−	0.201776i	0.801881	−	0.597484i	$-0.203833\pi$
$109$	−1.21625	−	2.10660i	−0.116496	−	0.201776i	−0.918377	+	0.395708i	$0.870499\pi$
$110$	3.44103	+	19.5150i	0.328089	+	1.86069i
$111$	0.176218	−	5.95726i	0.0167259	−	0.565439i
$112$	−4.92716	+	1.97311i	−0.465573	+	0.186441i
$113$	2.09463	+	5.75494i	0.197046	+	0.541379i	0.998384	−	0.0568331i	$-0.0181003\pi$
$113$	2.09463	+	5.75494i	0.197046	+	0.541379i	−0.801338	+	0.598212i	$0.795878\pi$
$114$	−4.02693	+	10.1221i	−0.377157	+	0.948026i
$115$	−9.78797	−	11.6649i	−0.912733	−	1.08775i
$116$	0.205844	+	0.118844i	0.0191121	+	0.0110344i
$117$	2.93524	+	0.698659i	0.271363	+	0.0645911i
$118$	10.7494	+	6.20617i	0.989563	+	0.571324i
$119$	−6.77675	−	2.22495i	−0.621224	−	0.203961i
$120$	−4.38906	+	21.2045i	−0.400664	+	1.93570i
$121$	7.26239	−	2.64329i	0.660217	−	0.240300i
$122$	1.59907	−	9.06876i	0.144773	−	0.821047i
$123$	−4.09091	−	12.3657i	−0.368865	−	1.11498i
$124$	−0.322824	−	0.384727i	−0.0289905	−	0.0345495i
$125$	−13.2338	+	22.9215i	−1.18366	+	2.05016i
$126$	2.82831	+	8.48480i	0.251966	+	0.755886i
$127$	−9.53129	−	16.5087i	−0.845765	−	1.46491i	−0.884955	−	0.465676i	$-0.845811\pi$
$127$	−9.53129	−	16.5087i	−0.845765	−	1.46491i	0.0391906	−	0.999232i	$-0.487522\pi$
$128$	0.573958	−	1.57694i	0.0507312	−	0.139383i
$129$	−3.60634	−	4.56550i	−0.317521	−	0.401970i
$130$	−3.52784	−	2.96021i	−0.309412	−	0.259628i
$131$	−6.92439	−	5.81025i	−0.604987	−	0.507644i	0.288057	−	0.957613i	$-0.406991\pi$
$131$	−6.92439	−	5.81025i	−0.604987	−	0.507644i	−0.893044	+	0.449969i	$0.851435\pi$
$132$	5.47171	+	0.161855i	0.476251	+	0.0140877i
$133$	−4.60664	+	14.0309i	−0.399447	+	1.21663i
$134$		−	1.30905i		−	0.113085i
$135$	20.3879	+	5.49460i	1.75471	+	0.472900i
$136$	7.18280	−	4.14699i	0.615920	−	0.355601i
$137$	−0.385709	+	1.05973i	−0.0329534	+	0.0905387i	−0.955078	−	0.296354i	$-0.904229\pi$
$137$	−0.385709	+	1.05973i	−0.0329534	+	0.0905387i	0.922125	+	0.386892i	$0.126452\pi$
$138$	6.43896	−	3.46784i	0.548120	−	0.295202i
$139$	6.67617	+	1.17719i	0.566265	+	0.0998478i	0.449449	−	0.893306i	$-0.351620\pi$
$139$	6.67617	+	1.17719i	0.566265	+	0.0998478i	0.116816	+	0.993154i	$0.462731\pi$
$140$	−1.11664	+	7.77193i	−0.0943736	+	0.656848i
$141$	−1.68827	−	2.13729i	−0.142178	−	0.179992i
$142$	10.9864	+	3.99873i	0.921961	+	0.335566i
$143$	−2.17626	+	3.76939i	−0.181988	+	0.315212i
$144$	−5.52370	−	2.38902i	−0.460308	−	0.199085i
$145$	−1.14539	+	0.661291i	−0.0951195	+	0.0549173i
$146$	6.00830	+	2.18684i	0.497251	+	0.180984i
$147$	4.53273	+	11.2452i	0.373853	+	0.927488i
$148$	1.92500	+	1.61527i	0.158234	+	0.132774i
$149$	−5.80930	−	15.9609i	−0.475917	−	1.30757i	−0.912930	−	0.408115i	$-0.866186\pi$
$149$	−5.80930	−	15.9609i	−0.475917	−	1.30757i	0.437014	−	0.899455i	$-0.356036\pi$
$150$	−16.7787	−	14.9463i	−1.36997	−	1.22036i
$151$	1.65537	+	9.38806i	0.134712	+	0.763990i	0.975060	+	0.221942i	$0.0712396\pi$
$151$	1.65537	+	9.38806i	0.134712	+	0.763990i	−0.840348	+	0.542048i	$0.817649\pi$
$152$	−8.58613	−	14.8716i	−0.696427	−	1.20625i
$153$	−3.62276	−	7.23091i	−0.292882	−	0.584584i
$154$	−12.8953	+	0.410635i	−1.03913	+	0.0330899i
$155$	2.75211	−	0.485271i	0.221055	−	0.0389779i
$156$	−0.998303	+	0.788572i	−0.0799282	+	0.0631363i
$157$	12.7308	−	15.1719i	1.01603	−	1.21085i	0.0386700	−	0.999252i	$-0.487688\pi$
$157$	12.7308	−	15.1719i	1.01603	−	1.21085i	0.977356	−	0.211601i	$-0.0678677\pi$
$158$	0.861814	+	2.36782i	0.0685623	+	0.188373i
$159$	1.83725	+	0.0543467i	0.145703	+	0.00430997i
$160$	−10.1677	−	12.1174i	−0.803829	−	0.957966i
$161$	8.42384	−	5.22787i	0.663891	−	0.412014i
$162$	−4.56890	+	9.05378i	−0.358967	+	0.711332i
$163$	11.2716	−	19.5229i	0.882856	−	1.52915i	0.0347055	−	0.999398i	$-0.488951\pi$
$163$	11.2716	−	19.5229i	0.882856	−	1.52915i	0.848151	−	0.529755i	$-0.177716\pi$
$164$	5.16057	+	1.87829i	0.402973	+	0.146670i
$165$	−16.0032	+	25.9172i	−1.24585	+	2.01765i
$166$	7.46177	−	8.89260i	0.579146	−	0.690199i
$167$	−11.0484	+	4.02130i	−0.854954	+	0.311178i	−0.732059	−	0.681242i	$-0.761440\pi$
$167$	−11.0484	+	4.02130i	−0.854954	+	0.311178i	−0.122896	+	0.992420i	$0.539218\pi$
$168$	−13.2591	−	4.79198i	−1.02296	−	0.369709i
$169$	2.08178	+	11.8063i	0.160137	+	0.908180i
$170$			12.3444i			0.946770i
$171$	−14.9712	+	7.50073i	−1.14488	+	0.573595i
$172$	2.45311			0.187048
$173$	−14.8669	+	12.4748i	−1.13031	+	0.948440i	−0.999079	−	0.0429125i	$-0.986336\pi$
$173$	−14.8669	+	12.4748i	−1.13031	+	0.948440i	−0.131228	+	0.991352i	$0.541892\pi$
$174$	−0.199511	−	0.603066i	−0.0151249	−	0.0457183i
$175$	−23.9460	−	18.8274i	−1.81015	−	1.42322i
$176$	5.58038	−	6.65044i	0.420637	−	0.501295i
$177$	5.99256	+	18.1138i	0.450428	+	1.36152i
$178$	14.9172	−	2.63031i	1.11809	−	0.197150i
$179$		−	5.26843i		−	0.393781i	−0.980425	−	0.196891i	$-0.936916\pi$
$179$		−	5.26843i		−	0.393781i	0.980425	−	0.196891i	$-0.0630844\pi$
$180$	−7.14647	+	5.30962i	−0.532666	+	0.395756i
$181$	6.42639	−	3.71028i	0.477670	−	0.275783i	−0.241775	−	0.970332i	$-0.577730\pi$
$181$	6.42639	−	3.71028i	0.477670	−	0.275783i	0.719445	+	0.694550i	$0.244396\pi$
$182$	2.23440	−	1.99946i	0.165624	−	0.148210i
$183$	11.1075	−	8.77399i	0.821094	−	0.648592i
$184$	−2.00189	+	11.3533i	−0.147581	+	0.836975i
$185$	−13.1395	+	4.78238i	−0.966034	+	0.351607i
$186$	−0.0396848	+	1.34159i	−0.00290983	+	0.0983700i
$187$	11.4896	−	2.02593i	0.840202	−	0.148150i
$188$	1.14840			0.0837554
$189$	−5.42884	+	12.6304i	−0.394890	+	0.918728i
$190$	25.5584			1.85420
$191$	−18.2591	+	3.21958i	−1.32118	+	0.232960i	−0.789379	−	0.613906i	$-0.789597\pi$
$191$	−18.2591	+	3.21958i	−1.32118	+	0.232960i	−0.531805	+	0.846867i	$0.678486\pi$
$192$	12.8071	−	6.89753i	0.924271	−	0.497786i
$193$	−20.4044	+	7.42660i	−1.46874	+	0.534578i	−0.947759	−	0.318988i	$-0.896657\pi$
$193$	−20.4044	+	7.42660i	−1.46874	+	0.534578i	−0.520983	+	0.853567i	$0.674435\pi$
$194$	−1.99138	+	11.2937i	−0.142973	+	0.810839i
$195$	−1.02257	−	7.00465i	−0.0732281	−	0.501613i
$196$	−4.90531	−	1.43926i	−0.350379	−	0.102805i
$197$	−12.3676	+	7.14043i	−0.881155	+	0.508735i	−0.871039	−	0.491214i	$-0.836553\pi$
$197$	−12.3676	+	7.14043i	−0.881155	+	0.508735i	−0.0101156	+	0.999949i	$0.503220\pi$
$198$	−10.6313	−	10.0495i	−0.755530	−	0.714187i
$199$			5.19839i			0.368504i	0.982879	+	0.184252i	$0.0589863\pi$
$199$			5.19839i			0.368504i	−0.982879	+	0.184252i	$0.941014\pi$
$200$	34.8827	−	6.15076i	2.46658	−	0.434924i
$201$	1.33841	−	1.50250i	0.0944043	−	0.105978i
$202$	−4.43699	+	5.28780i	−0.312186	+	0.372048i
$203$	−0.320120	−	0.799390i	−0.0224680	−	0.0561062i
$204$	3.33929	+	0.691189i	0.233797	+	0.0483929i
$205$	−23.4089	+	19.6424i	−1.63495	+	1.37188i
$206$	3.43916			0.239618
$207$	10.9361	+	2.60307i	0.760114	+	0.180926i
$208$			2.01759i			0.139895i
$209$	−4.19458	−	23.7886i	−0.290145	−	1.64549i
$210$	16.0437	−	13.5242i	1.10712	−	0.933259i
$211$	−6.35545	+	2.31320i	−0.437527	+	0.159247i	−0.551386	−	0.834250i	$-0.685901\pi$
$211$	−6.35545	+	2.31320i	−0.437527	+	0.159247i	0.113859	+	0.993497i	$0.463679\pi$
$212$	−0.498157	+	0.593680i	−0.0342135	+	0.0407741i
$213$	8.52157	+	15.8225i	0.583888	+	1.08414i
$214$	−12.5504	−	4.56799i	−0.857930	−	0.312261i
$215$	−6.82498	+	11.8212i	−0.465460	+	0.806200i
$216$	−6.73502	−	14.4981i	−0.458260	−	0.986471i
$217$	0.0579098	+	1.81856i	0.00393117	+	0.123452i
$218$	−1.76186	−	2.09970i	−0.119328	−	0.142210i
$219$	4.66031	+	8.65309i	0.314915	+	0.584721i
$220$	−4.39258	−	12.0685i	−0.296148	−	0.813659i
$221$	−1.74284	+	2.07704i	−0.117236	+	0.139717i
$222$	−0.970101	−	6.64520i	−0.0651089	−	0.445997i
$223$	5.39616	−	0.951488i	0.361353	−	0.0637163i	0.00997589	−	0.999950i	$-0.496825\pi$
$223$	5.39616	−	0.951488i	0.361353	−	0.0637163i	0.351377	+	0.936234i	$0.385713\pi$
$224$	8.75066	−	5.43069i	0.584678	−	0.362854i
$225$	−3.97667	−	34.3100i	−0.265112	−	2.28733i
$226$	3.45045	+	5.97635i	0.229520	+	0.397541i
$227$	0.805662	+	4.56913i	0.0534736	+	0.303264i	0.999801	−	0.0199454i	$-0.00634925\pi$
$227$	0.805662	+	4.56913i	0.0534736	+	0.303264i	−0.946327	+	0.323210i	$0.895238\pi$
$228$	1.43107	−	6.91383i	0.0947751	−	0.457879i
$229$	−1.69286	−	4.65111i	−0.111868	−	0.307354i	0.871107	−	0.491092i	$-0.163402\pi$
$229$	−1.69286	−	4.65111i	−0.111868	−	0.307354i	−0.982975	+	0.183739i	$0.941180\pi$
$230$	−13.1441	−	11.0292i	−0.866694	−	0.727243i
$231$	−15.2208	−	12.7132i	−1.00145	−	0.836468i
$232$	0.940922	+	0.342468i	0.0617745	+	0.0224841i
$233$	5.38598	−	3.10960i	0.352848	−	0.203717i	−0.313091	−	0.949723i	$-0.601365\pi$
$233$	5.38598	−	3.10960i	0.352848	−	0.203717i	0.665939	+	0.746006i	$0.268031\pi$
$234$	3.39391	+	0.200963i	0.221867	+	0.0131373i
$235$	−3.19504	+	5.53398i	−0.208422	+	0.360997i
$236$	−7.55944	−	2.75141i	−0.492078	−	0.179102i
$237$	−1.43175	+	3.59888i	−0.0930025	+	0.233772i
$238$	−7.95545	−	1.14301i	−0.515675	−	0.0740904i
$239$	9.36770	+	1.65178i	0.605946	+	0.106845i	0.468199	−	0.883623i	$-0.344903\pi$
$239$	9.36770	+	1.65178i	0.605946	+	0.106845i	0.137747	+	0.990467i	$0.456014\pi$
$240$	−0.417481	+	14.1134i	−0.0269483	+	0.911016i
$241$	−7.59759	+	20.8742i	−0.489404	+	1.34463i	0.411817	+	0.911267i	$0.364894\pi$
$241$	−7.59759	+	20.8742i	−0.489404	+	1.34463i	−0.901221	+	0.433360i	$0.857328\pi$
$242$	7.54180	−	4.35426i	0.484805	−	0.279903i
$243$	−14.5010	+	5.72035i	−0.930236	+	0.366961i
$244$			5.96824i			0.382078i
$245$	20.5831	−	19.6338i	1.31501	−	1.25436i
$246$	−6.95923	−	12.9216i	−0.443704	−	0.823853i
$247$	4.30040	+	3.60847i	0.273628	+	0.229601i
$248$	−1.62074	−	1.35996i	−0.102917	−	0.0863576i
$249$	17.6565	−	2.57759i	1.11894	−	0.163348i
$250$	−10.2004	+	28.0252i	−0.645127	+	1.77247i
$251$	0.170636	+	0.295550i	0.0107704	+	0.0186550i	0.871360	−	0.490644i	$-0.163238\pi$
$251$	0.170636	+	0.295550i	0.0107704	+	0.0186550i	−0.860590	+	0.509298i	$0.829905\pi$
$252$	−2.76012	−	5.09725i	−0.173871	−	0.321097i
$253$	−8.10831	+	14.0440i	−0.509765	+	0.882939i
$254$	−13.8070	−	16.4546i	−0.866329	−	1.03245i
$255$	−12.6213	+	14.1686i	−0.790374	+	0.887273i
$256$	−2.58836	+	14.6793i	−0.161772	+	0.917457i
$257$	10.5726	−	3.84813i	0.659503	−	0.240040i	0.00948151	−	0.999955i	$-0.496982\pi$
$257$	10.5726	−	3.84813i	0.659503	−	0.240040i	0.650022	+	0.759915i	$0.274760\pi$
$258$	−4.89525	−	4.36064i	−0.304765	−	0.271482i
$259$	−1.86542	−	8.91069i	−0.115911	−	0.553683i
$260$	2.58486	+	1.49237i	0.160306	+	0.0925527i
$261$	0.387598	−	0.896173i	0.0239917	−	0.0554717i
$262$	−8.82082	−	5.09270i	−0.544952	−	0.314628i
$263$	10.9554	+	13.0562i	0.675541	+	0.805079i	0.989527	−	0.144349i	$-0.0461088\pi$
$263$	10.9554	+	13.0562i	0.675541	+	0.805079i	−0.313985	+	0.949428i	$0.601664\pi$
$264$	22.8188	−	3.33121i	1.40440	−	0.205022i
$265$	−1.47491	−	4.05228i	−0.0906030	−	0.248930i
$266$	−2.36655	+	16.4714i	−0.145102	+	1.00992i
$267$	19.8110	+	12.2328i	1.21241	+	0.748637i
$268$	0.147325	+	0.835522i	0.00899931	+	0.0510376i
$269$	4.50153	+	7.79687i	0.274463	+	0.475384i	0.969999	−	0.243107i	$-0.0781666\pi$
$269$	4.50153	+	7.79687i	0.274463	+	0.475384i	−0.695537	+	0.718491i	$0.744833\pi$
$270$	23.6994	+	2.10804i	1.44230	+	0.128291i
$271$	−12.8153	−	7.39893i	−0.778475	−	0.449453i	0.0574144	−	0.998350i	$-0.481714\pi$
$271$	−12.8153	−	7.39893i	−0.778475	−	0.449453i	−0.835890	+	0.548898i	$0.815048\pi$
$272$	4.14287	−	3.47628i	0.251198	−	0.210780i
$273$	4.60890	−	0.0104219i	0.278943	−	0.000630764i
$274$	−0.220663	+	1.25144i	−0.0133307	+	0.0756024i
$275$	49.0682	+	8.65205i	2.95892	+	0.521738i
$276$	−3.71948	+	2.93807i	−0.223887	+	0.176851i
$277$	23.5086	−	19.7261i	1.41250	−	1.18523i	0.457278	−	0.889324i	$-0.348825\pi$
$277$	23.5086	−	19.7261i	1.41250	−	1.18523i	0.955219	−	0.295901i	$-0.0956199\pi$
$278$	7.63882			0.458146
$279$	−1.41723	+	1.49927i	−0.0848474	+	0.0897591i
$280$	1.05276	+	33.0602i	0.0629147	+	1.97573i
$281$	5.06196	−	13.9076i	0.301971	−	0.829659i	−0.692186	−	0.721719i	$-0.743352\pi$
$281$	5.06196	−	13.9076i	0.301971	−	0.829659i	0.994157	−	0.107940i	$-0.0344254\pi$
$282$	−2.29166	−	2.04139i	−0.136467	−	0.121563i
$283$	31.0263	+	5.47077i	1.84432	+	0.325204i	0.983106	−	0.183037i	$-0.0585928\pi$
$283$	31.0263	+	5.47077i	1.84432	+	0.325204i	0.861215	+	0.508240i	$0.169704\pi$
$284$	−7.46230	−	1.31580i	−0.442806	−	0.0780786i
$285$	29.3354	+	26.1317i	1.73768	+	1.54791i
$286$	−1.67742	+	4.60868i	−0.0991880	+	0.272517i
$287$	−10.4912	−	16.9049i	−0.619277	−	0.997862i
$288$	11.3604	+	2.70406i	0.669420	+	0.159338i
$289$	−9.73218			−0.572481
$290$	−1.14164	+	0.957946i	−0.0670392	+	0.0562525i
$291$	−13.8327	+	10.9266i	−0.810885	+	0.640529i
$292$	−4.08101	−	0.719592i	−0.238823	−	0.0421109i
$293$	2.47194	−	14.0191i	0.144412	−	0.819002i	−0.823425	−	0.567425i	$-0.807940\pi$
$293$	2.47194	−	14.0191i	0.144412	−	0.819002i	0.967837	−	0.251577i	$-0.0809491\pi$
$294$	7.23026	+	11.5918i	0.421677	+	0.676046i
$295$	34.2904	−	28.7731i	1.99647	−	1.67523i
$296$	9.16785	+	5.29306i	0.532871	+	0.307653i
$297$	−1.92742	−	22.4043i	−0.111840	−	1.30003i
$298$	−9.56958	−	16.5750i	−0.554351	−	0.960164i
$299$	−0.654437	−	3.71150i	−0.0378471	−	0.214642i
$300$	12.3913	+	7.65136i	0.715415	+	0.441752i
$301$	−6.98635	−	5.49300i	−0.402686	−	0.316611i
$302$	3.67390	+	10.0939i	0.211409	+	0.580841i
$303$	−10.4991	+	1.53271i	−0.603157	+	0.0880520i
$304$	−7.19746	−	8.57759i	−0.412802	−	0.491959i
$305$	−28.7602	−	16.6047i	−1.64681	−	0.950784i
$306$	−5.43500	−	7.31521i	−0.310698	−	0.418183i
$307$	−18.6376	−	10.7604i	−1.06371	−	0.614131i	−0.137251	−	0.990536i	$-0.543827\pi$
$307$	−18.6376	−	10.7604i	−1.06371	−	0.614131i	−0.926455	+	0.376406i	$0.877160\pi$
$308$	8.18440	−	1.71337i	0.466350	−	0.0976286i
$309$	3.94740	+	3.51630i	0.224560	+	0.200036i
$310$	2.95904	−	1.07700i	0.168062	−	0.0611696i
$311$	−2.70366	+	15.3332i	−0.153310	+	0.869467i	0.807004	+	0.590546i	$0.201088\pi$
$311$	−2.70366	+	15.3332i	−0.153310	+	0.869467i	−0.960314	+	0.278920i	$0.910023\pi$
$312$	−3.56479	+	4.00183i	−0.201817	+	0.226559i
$313$	19.3149	+	23.0185i	1.09174	+	1.30108i	0.950368	+	0.311128i	$0.100707\pi$
$313$	19.3149	+	23.0185i	1.09174	+	1.30108i	0.141372	+	0.989957i	$0.454849\pi$
$314$	11.1586	−	19.3272i	0.629714	−	1.09070i
$315$	32.2422	+	0.880771i	1.81664	+	0.0496258i
$316$	−0.816549	−	1.41430i	−0.0459345	−	0.0795608i
$317$	−7.02142	+	19.2912i	−0.394362	+	1.08350i	0.570627	+	0.821210i	$0.306700\pi$
$317$	−7.02142	+	19.2912i	−0.394362	+	1.08350i	−0.964989	+	0.262291i	$0.915522\pi$
$318$	2.04941	−	0.299184i	0.114925	−	0.0167774i
$319$	1.07898	+	0.905369i	0.0604111	+	0.0506909i
$320$	−26.1435	−	21.9370i	−1.46147	−	1.22632i
$321$	−9.73468	−	18.0750i	−0.543337	−	1.00885i
$322$	8.32493	−	7.44960i	0.463930	−	0.415150i
$323$		−	15.0476i		−	0.837274i
$324$	1.89723	−	6.29292i	0.105402	−	0.349607i
$325$	−10.0281	+	5.78970i	−0.556256	+	0.321155i
$326$	8.68793	−	23.8699i	0.481180	−	1.32203i
$327$	0.124574	−	4.21137i	0.00688896	−	0.232889i
$328$	22.7836	+	4.01737i	1.25802	+	0.221822i
$329$	−3.27059	−	2.57149i	−0.180313	−	0.141771i
$330$	−12.6875	+	31.8914i	−0.698422	+	1.75556i
$331$	−23.5871	−	8.58501i	−1.29647	−	0.471875i	−0.400622	−	0.916244i	$-0.631206\pi$
$331$	−23.5871	−	8.58501i	−1.29647	−	0.471875i	−0.895844	+	0.444369i	$0.853428\pi$
$332$	−3.76179	+	6.51561i	−0.206455	+	0.357591i
$333$	5.68080	−	8.61909i	0.311306	−	0.472323i
$334$	−11.4735	+	6.62424i	−0.627803	+	0.362462i
$335$	−4.43616	−	1.61463i	−0.242373	−	0.0882167i
$336$	−9.05687	−	1.57586i	−0.494093	−	0.0859703i
$337$	8.08743	+	6.78616i	0.440550	+	0.369665i	0.835915	−	0.548859i	$-0.184937\pi$
$337$	8.08743	+	6.78616i	0.440550	+	0.369665i	−0.395365	+	0.918524i	$0.629382\pi$
$338$	4.62026	+	12.6941i	0.251309	+	0.690466i
$339$	−2.15005	+	10.3874i	−0.116775	+	0.564165i
$340$	−1.38928	−	7.87899i	−0.0753442	−	0.427298i
$341$	−1.48806	−	2.57739i	−0.0805827	−	0.139573i
$342$	−15.1458	+	11.2529i	−0.818990	+	0.608487i
$343$	10.7473	+	15.0829i	0.580301	+	0.814402i
$344$	10.1772	−	1.79451i	0.548717	−	0.0967536i
$345$	−3.80992	−	26.0980i	−0.205119	−	1.40507i
$346$	−14.0567	+	16.7521i	−0.755693	+	0.900600i
$347$	5.26419	+	14.4632i	0.282597	+	0.776428i	0.997051	+	0.0767453i	$0.0244528\pi$
$347$	5.26419	+	14.4632i	0.282597	+	0.776428i	−0.714454	+	0.699682i	$0.753325\pi$
$348$	0.195212	+	0.362463i	0.0104645	+	0.0194300i
$349$	0.652102	+	0.777145i	0.0349062	+	0.0415996i	0.783215	−	0.621751i	$-0.213578\pi$
$349$	0.652102	+	0.777145i	0.0349062	+	0.0415996i	−0.748309	+	0.663350i	$0.769134\pi$
$350$	−30.2566	−	16.2072i	−1.61728	−	0.866310i
$351$	3.68999	+	3.70070i	0.196957	+	0.197529i
$352$	−8.42289	+	14.5889i	−0.448942	+	0.777590i
$353$	−23.8037	−	8.66383i	−1.26694	−	0.461129i	−0.380849	−	0.924637i	$-0.624368\pi$
$353$	−23.8037	−	8.66383i	−1.26694	−	0.461129i	−0.886093	+	0.463508i	$0.846590\pi$
$354$	10.1942	+	18.9282i	0.541815	+	1.00602i
$355$	27.1022	−	32.2991i	1.43843	−	1.71426i
$356$	−9.22515	+	3.35768i	−0.488932	+	0.177957i
$357$	−7.96245	−	9.44582i	−0.421418	−	0.499926i
$358$	−1.03087	−	5.84633i	−0.0544830	−	0.308988i
$359$		−	1.81868i		−	0.0959862i	−0.998848	−	0.0479931i	$-0.984717\pi$
$359$		−	1.81868i		−	0.0959862i	0.998848	−	0.0479931i	$-0.0152826\pi$
$360$	−25.7644	+	27.2558i	−1.35790	+	1.43651i
$361$	−12.1554			−0.639757
$362$	6.40532	−	5.37470i	0.336656	−	0.282488i
$363$	13.1083	+	2.71324i	0.688005	+	0.142408i
$364$	−1.20111	+	1.52765i	−0.0629554	+	0.0800707i
$365$	14.8217	−	17.6639i	0.775805	−	0.924568i
$366$	10.6092	−	11.9098i	0.554549	−	0.622536i
$367$	35.2784	−	6.22053i	1.84152	−	0.324709i	0.859156	−	0.511713i	$-0.170989\pi$
$367$	35.2784	−	6.22053i	1.84152	−	0.324709i	0.982359	+	0.187004i	$0.0598778\pi$
$368$			7.51716i			0.391859i
$369$	5.22381	−	21.9465i	0.271941	−	1.14249i
$370$	−13.6450	+	7.87795i	−0.709370	+	0.409555i
$371$	2.74810	−	0.575305i	0.142674	−	0.0298683i
$372$	−0.125658	−	0.860756i	−0.00651504	−	0.0446281i
$373$	−0.877998	+	4.97938i	−0.0454610	+	0.257822i	−0.999065	−	0.0432429i	$-0.986231\pi$
$373$	−0.877998	+	4.97938i	−0.0454610	+	0.257822i	0.953604	+	0.301065i	$0.0973422\pi$
$374$	12.3535	−	4.49630i	0.638784	−	0.232498i
$375$	−40.3616	+	21.7376i	−2.08427	+	1.12253i
$376$	4.76435	−	0.840083i	0.245702	−	0.0433240i
$377$	−0.327337			−0.0168587
$378$	−3.55296	+	15.0781i	−0.182745	+	0.775535i
$379$	−29.1103			−1.49530			−0.747648	−	0.664095i	$-0.768817\pi$
$379$	−29.1103			−1.49530			−0.747648	+	0.664095i	$0.768817\pi$
$380$	−16.3130	+	2.87643i	−0.836841	+	0.147558i
$381$	0.976240	−	33.0029i	0.0500143	−	1.69079i
$382$	−19.6320	+	7.14547i	−1.00446	+	0.365594i
$383$	−0.923428	+	5.23702i	−0.0471849	+	0.267599i	−0.999269	−	0.0382385i	$-0.987825\pi$
$383$	−0.923428	+	5.23702i	−0.0471849	+	0.267599i	0.952084	+	0.305838i	$0.0989365\pi$
$384$	2.28087	−	1.80169i	0.116395	−	0.0919422i
$385$	−14.5139	+	44.2066i	−0.739699	+	2.25297i
$386$	−21.1894	+	12.2337i	−1.07851	+	0.622681i
$387$	−1.16021	−	10.0101i	−0.0589770	−	0.508843i
$388$		−	7.43249i		−	0.377327i
$389$	−9.69769	+	1.70996i	−0.491692	+	0.0866986i	−0.413997	−	0.910278i	$-0.635867\pi$
$389$	−9.69769	+	1.70996i	−0.491692	+	0.0866986i	−0.0776959	+	0.996977i	$0.524756\pi$
$390$	−2.50533	−	7.57291i	−0.126862	−	0.383469i
$391$	−6.49350	+	7.73865i	−0.328390	+	0.391360i
$392$	−21.4035	−	2.38271i	−1.08104	−	0.120345i
$393$	−4.91742	−	14.8640i	−0.248051	−	0.749788i
$394$	−12.3271	+	10.3436i	−0.621028	+	0.521104i
$395$	9.08715			0.457224
$396$	7.91657	+	5.21777i	0.397823	+	0.262203i
$397$		−	3.19622i		−	0.160414i	−0.996778	−	0.0802069i	$-0.974442\pi$
$397$		−	3.19622i		−	0.160414i	0.996778	−	0.0802069i	$-0.0255581\pi$
$398$	1.01716	+	5.76861i	0.0509857	+	0.289154i
$399$	−19.5571	+	16.4859i	−0.979079	+	0.825325i
$400$	21.7034	−	7.89940i	1.08517	−	0.394970i
$401$	−9.96904	+	11.8806i	−0.497830	+	0.593291i	−0.955191	−	0.295990i	$-0.904350\pi$
$401$	−9.96904	+	11.8806i	−0.497830	+	0.593291i	0.457361	+	0.889281i	$0.348795\pi$
$402$	1.19123	−	1.92920i	0.0594133	−	0.0962195i
$403$	0.649939	+	0.236558i	0.0323758	+	0.0117838i
$404$	2.23687	−	3.87438i	0.111289	−	0.192757i
$405$	25.0464	+	26.6506i	1.24456	+	1.32428i
$406$	−0.511650	−	0.824438i	−0.0253927	−	0.0409162i
$407$	9.57183	+	11.4073i	0.474458	+	0.565437i
$408$	14.3593	+	0.424755i	0.710892	+	0.0210285i
$409$	−1.43725	−	3.94882i	−0.0710676	−	0.195257i	0.899074	−	0.437798i	$-0.144241\pi$
$409$	−1.43725	−	3.94882i	−0.0710676	−	0.195257i	−0.970141	+	0.242541i	$0.922019\pi$
$410$	−22.1332	+	26.3774i	−1.09308	+	1.30269i
$411$	−1.53278	+	1.21077i	−0.0756067	+	0.0597227i
$412$	−2.19510	+	0.387055i	−0.108145	+	0.0190688i
$413$	15.3680	+	24.7630i	0.756211	+	1.21851i
$414$	12.6451	+	0.748748i	0.621471	+	0.0367990i
$415$	−20.9320	−	36.2552i	−1.02751	−	1.77970i
$416$	−0.679828	−	3.85550i	−0.0333313	−	0.189031i
$417$	8.76768	+	7.81016i	0.429355	+	0.382465i
$418$	−9.30937	−	25.5773i	−0.455336	−	1.25103i
$419$	15.7288	+	13.1980i	0.768400	+	0.644764i	0.940299	−	0.340350i	$-0.110546\pi$
$419$	15.7288	+	13.1980i	0.768400	+	0.644764i	−0.171899	+	0.985115i	$0.554990\pi$
$420$	−8.71808	+	10.4376i	−0.425399	+	0.509305i
$421$	−22.2876	−	8.11201i	−1.08623	−	0.395355i	−0.264007	−	0.964521i	$-0.585044\pi$
$421$	−22.2876	−	8.11201i	−1.08623	−	0.395355i	−0.822223	+	0.569165i	$0.807266\pi$
$422$	−6.59997	+	3.81050i	−0.321282	+	0.185492i
$423$	−0.543142	−	4.68613i	−0.0264085	−	0.227847i
$424$	−1.63241	+	2.82741i	−0.0792767	+	0.137311i
$425$	29.1666	+	10.6158i	1.41479	+	0.514940i
$426$	12.5523	+	15.8907i	0.608160	+	0.769908i
$427$	13.3641	−	16.9973i	0.646734	−	0.822558i
$428$	8.52461	+	1.50312i	0.412053	+	0.0726560i
$429$	−6.63736	+	3.57470i	−0.320455	+	0.172588i
$430$	−5.26058	+	14.4533i	−0.253688	+	0.697001i
$431$	−30.4481	+	17.5792i	−1.46663	+	0.846761i	−0.999303	−	0.0373228i	$-0.988117\pi$
$431$	−30.4481	+	17.5792i	−1.46663	+	0.846761i	−0.467329	+	0.884083i	$0.654784\pi$
$432$	−5.96648	−	8.54735i	−0.287062	−	0.411234i
$433$		−	9.29552i		−	0.446714i	−0.974737	−	0.223357i	$-0.928298\pi$
$433$		−	9.29552i		−	0.446714i	0.974737	−	0.223357i	$-0.0717016\pi$
$434$	0.420096	+	2.00671i	0.0201653	+	0.0963249i
$435$	−2.28978	−	0.0677327i	−0.109787	−	0.00324753i
$436$	1.36084	+	1.14188i	0.0651725	+	0.0546862i
$437$	16.0225	+	13.4445i	0.766459	+	0.643136i
$438$	6.86464	+	8.69038i	0.328005	+	0.415242i
$439$	−5.20092	+	14.2894i	−0.248226	+	0.681996i	0.751525	+	0.659704i	$0.229318\pi$
$439$	−5.20092	+	14.2894i	−0.248226	+	0.681996i	−0.999752	+	0.0222915i	$0.992904\pi$
$440$	−27.0519	−	46.8553i	−1.28965	−	2.23374i
$441$	−3.55304	+	20.6972i	−0.169193	+	0.985583i
$442$	−1.52761	+	2.64589i	−0.0726608	+	0.125852i
$443$	−2.83111	−	3.37398i	−0.134510	−	0.160303i	0.694585	−	0.719411i	$-0.255588\pi$
$443$	−2.83111	−	3.37398i	−0.134510	−	0.160303i	−0.829095	+	0.559108i	$0.811144\pi$
$444$	1.36706	+	4.13223i	0.0648776	+	0.196107i
$445$	9.48578	−	53.7965i	0.449669	−	2.55020i
$446$	5.80189	−	2.11172i	0.274727	−	0.0999926i
$447$	5.96302	−	28.8087i	0.282041	−	1.36260i
$448$	16.5583	−	14.8172i	0.782304	−	0.700048i
$449$	−20.2360	−	11.6833i	−0.954997	−	0.551368i	−0.0603675	−	0.998176i	$-0.519227\pi$
$449$	−20.2360	−	11.6833i	−0.954997	−	0.551368i	−0.894630	+	0.446808i	$0.852561\pi$
$450$	−11.1263	−	37.2954i	−0.524497	−	1.75812i
$451$	28.1834	+	16.2717i	1.32710	+	0.766203i
$452$	−2.87490	−	3.42617i	−0.135224	−	0.161154i
$453$	−6.10354	+	15.3419i	−0.286769	+	0.720827i
$454$	1.78807	+	4.91269i	0.0839183	+	0.230564i
$455$	−4.01986	−	10.0382i	−0.188454	−	0.470599i
$456$	0.879433	−	29.7302i	0.0411832	−	1.39225i
$457$	0.593282	+	3.36467i	0.0277526	+	0.157393i	0.995535	−	0.0943965i	$-0.0300921\pi$
$457$	0.593282	+	3.36467i	0.0277526	+	0.157393i	−0.967782	+	0.251789i	$0.918981\pi$
$458$	−2.78863	−	4.83005i	−0.130304	−	0.225694i
$459$	1.24112	−	13.9532i	0.0579305	−	0.651278i
$460$	9.63068	+	5.56027i	0.449033	+	0.259249i
$461$	−11.0867	+	9.30284i	−0.516359	+	0.433276i	−0.863360	−	0.504588i	$-0.831644\pi$
$461$	−11.0867	+	9.30284i	−0.516359	+	0.433276i	0.347002	+	0.937865i	$0.387200\pi$
$462$	−19.3779	−	11.1295i	−0.901544	−	0.517792i
$463$	−0.365037	+	2.07023i	−0.0169647	+	0.0962116i	−0.992114	−	0.125335i	$-0.959999\pi$
$463$	−0.365037	+	2.07023i	−0.0169647	+	0.0962116i	0.975150	+	0.221547i	$0.0711105\pi$
$464$	0.642988	+	0.113376i	0.0298500	+	0.00526336i
$465$	4.49748	+	1.78925i	0.208566	+	0.0829745i
$466$	5.36833	−	4.50456i	0.248683	−	0.208670i
$467$	17.1162			0.792044			0.396022	−	0.918241i	$-0.370390\pi$
$467$	17.1162			0.792044			0.396022	+	0.918241i	$0.370390\pi$
$468$	−2.18884	+	0.253695i	−0.101179	+	0.0117271i
$469$	1.45133	−	2.70942i	0.0670160	−	0.125110i
$470$	−2.46269	+	6.76618i	−0.113595	+	0.312101i
$471$	32.5683	−	10.7745i	1.50067	−	0.496462i
$472$	−33.3745	−	5.88483i	−1.53619	−	0.270871i
$473$	14.3159	+	2.52428i	0.658245	+	0.116066i
$474$	−0.884619	+	4.27379i	−0.0406319	+	0.196302i
$475$	21.9794	−	60.3879i	1.00848	−	2.77079i
$476$	5.20633	−	0.165790i	0.238632	−	0.00759895i
$477$	2.65817	+	1.75199i	0.121709	+	0.0802180i
$478$	10.7185			0.490251
$479$	18.0812	−	15.1719i	0.826149	−	0.693221i	−0.128254	−	0.991741i	$-0.540937\pi$
$479$	18.0812	−	15.1719i	0.826149	−	0.693221i	0.954403	+	0.298520i	$0.0964930\pi$
$480$	−3.95773	−	27.1105i	−0.180645	−	1.23742i
$481$	−3.40813	−	0.600945i	−0.155397	−	0.0274008i
$482$	−4.34656	+	24.6505i	−0.197980	+	1.12280i
$483$	17.1719	−	0.0388301i	0.781347	−	0.00176683i
$484$	−4.32363	+	3.62796i	−0.196529	+	0.164907i
$485$	35.8162	+	20.6785i	1.62633	+	0.938963i
$486$	−14.9723	+	9.18520i	−0.679157	+	0.416649i
$487$	20.3632	+	35.2702i	0.922747	+	1.59824i	0.795145	+	0.606419i	$0.207395\pi$
$487$	20.3632	+	35.2702i	0.922747	+	1.59824i	0.127602	+	0.991825i	$0.459272\pi$
$488$	4.36593	+	24.7604i	0.197636	+	1.12085i
$489$	34.3771	−	18.5146i	1.55459	−	0.837257i
$490$	18.9992	−	25.8149i	0.858294	−	1.16620i
$491$	2.12792	+	5.84641i	0.0960316	+	0.263845i	0.978402	−	0.206711i	$-0.0662759\pi$
$491$	2.12792	+	5.84641i	0.0960316	+	0.263845i	−0.882371	+	0.470555i	$0.844054\pi$
$492$	5.89608	+	7.46422i	0.265816	+	0.336513i
$493$	0.563996	+	0.672145i	0.0254011	+	0.0302719i
$494$	5.47818	+	3.16283i	0.246475	+	0.142302i
$495$	−47.1691	+	23.6322i	−2.12010	+	1.06219i
$496$	−1.19474	−	0.689784i	−0.0536454	−	0.0309722i
$497$	18.3060	+	20.4569i	0.821136	+	0.917620i
$498$	19.0889	−	6.31516i	0.855396	−	0.282989i
$499$	−25.8870	+	9.42209i	−1.15886	+	0.421791i	−0.848690	−	0.528890i	$-0.822608\pi$
$499$	−25.8870	+	9.42209i	−1.15886	+	0.421791i	−0.310170	+	0.950681i	$0.600386\pi$
$500$	3.35648	−	19.0355i	0.150106	−	0.851295i
$501$	−19.9419	−	4.12771i	−0.890938	−	0.184413i
$502$	0.247183	+	0.294581i	0.0110323	+	0.0131478i
$503$	−16.2335	+	28.1172i	−0.723815	+	1.25368i	0.235645	+	0.971839i	$0.424280\pi$
$503$	−16.2335	+	28.1172i	−0.723815	+	1.25368i	−0.959460	+	0.281845i	$0.909053\pi$
$504$	−15.1797	−	19.1278i	−0.676157	−	0.852021i
$505$	12.4468	+	21.5584i	0.553874	+	0.959338i
$506$	−6.24975	+	17.1711i	−0.277835	+	0.763346i
$507$	−7.67575	+	19.2939i	−0.340892	+	0.856871i
$508$	10.6644	+	8.94849i	0.473156	+	0.397025i
$509$	−5.15763	−	4.32776i	−0.228608	−	0.191825i	0.521288	−	0.853381i	$-0.325452\pi$
$509$	−5.15763	−	4.32776i	−0.228608	−	0.191825i	−0.749896	+	0.661556i	$0.769896\pi$
$510$	−11.2333	+	18.1924i	−0.497421	+	0.805571i
$511$	10.0112	+	11.1876i	0.442872	+	0.494909i
$512$			20.1522i			0.890612i
$513$	−28.8893	−	2.56967i	−1.27549	−	0.113454i
$514$	10.9794	−	6.33897i	0.484281	−	0.279600i
$515$	4.24199	−	11.6548i	0.186924	−	0.513571i
$516$	3.61523	+	2.23232i	0.159152	+	0.0982724i
$517$	6.70183	+	1.18171i	0.294746	+	0.0519717i
$518$	−3.81358	−	9.52311i	−0.167559	−	0.418421i
$519$	−33.2619	+	4.85574i	−1.46003	+	0.213143i
$520$	11.8155	+	4.30048i	0.518143	+	0.188589i
$521$	6.29718	−	10.9070i	0.275885	−	0.477846i	−0.694473	−	0.719518i	$-0.744363\pi$
$521$	6.29718	−	10.9070i	0.275885	−	0.477846i	0.970358	+	0.241672i	$0.0776959\pi$
$522$	0.254762	−	1.07032i	0.0111506	−	0.0468465i
$523$	9.44997	−	5.45594i	0.413218	−	0.238572i	−0.278953	−	0.960305i	$-0.589987\pi$
$523$	9.44997	−	5.45594i	0.413218	−	0.238572i	0.692172	+	0.721733i	$0.256654\pi$
$524$	6.20318	+	2.25777i	0.270987	+	0.0986312i
$525$	−18.1571	−	49.5375i	−0.792443	−	2.16199i
$526$	14.7118	+	12.3447i	0.641467	+	0.538254i
$527$	−0.634091	−	1.74215i	−0.0276214	−	0.0758893i
$528$	14.2759	−	4.72287i	0.621279	−	0.205536i
$529$	1.55560	+	8.82225i	0.0676348	+	0.383576i
$530$	−2.42960	−	4.20819i	−0.105535	−	0.182792i
$531$	−7.65208	+	32.1483i	−0.332072	+	1.39512i
$532$	−0.343259	−	10.7794i	−0.0148822	−	0.467348i
$533$	−7.44819	+	1.31332i	−0.322617	+	0.0568861i
$534$	24.3777	+	9.69827i	1.05493	+	0.419685i
$535$	−30.9604	+	36.8971i	−1.33853	+	1.59520i
$536$	1.22241	+	3.35855i	0.0528002	+	0.145067i
$537$	4.79426	−	7.76429i	0.206888	−	0.335054i
$538$	6.52091	+	7.77132i	0.281136	+	0.335045i
$539$	−27.1455	−	13.4469i	−1.16924	−	0.579199i
$540$	−15.3638	+	1.32173i	−0.661151	+	0.0568780i
$541$	5.23639	−	9.06969i	0.225130	−	0.389936i	−0.731229	−	0.682133i	$-0.761053\pi$
$541$	5.23639	−	9.06969i	0.225130	−	0.389936i	0.956358	+	0.292196i	$0.0943860\pi$
$542$	−15.6688	−	5.70297i	−0.673032	−	0.244964i
$543$	12.8472	+	0.380024i	0.551324	+	0.0163084i
$544$	−6.74543	+	8.03889i	−0.289208	+	0.344665i
$545$	−9.28869	+	3.38081i	−0.397884	+	0.144818i
$546$	5.11242	−	0.913382i	0.218791	−	0.0390891i
$547$	−0.339966	−	1.92804i	−0.0145359	−	0.0824371i	0.976677	−	0.214715i	$-0.0688821\pi$
$547$	−0.339966	−	1.92804i	−0.0145359	−	0.0824371i	−0.991213	+	0.132277i	$0.957771\pi$
$548$		−	0.823587i		−	0.0351819i
$549$	24.3539	−	2.82272i	1.03940	−	0.120471i
$550$	56.1435			2.39397
$551$	1.39164	−	1.16773i	0.0592859	−	0.0497468i
$552$	−13.2817	+	14.9101i	−0.565308	+	0.634614i
$553$	−0.841413	+	5.85630i	−0.0357805	+	0.249035i
$554$	22.2275	−	26.4897i	0.944358	−	1.12544i
$555$	−23.7161	−	4.90893i	−1.00669	−	0.208372i
$556$	−4.87560	+	0.859700i	−0.206771	+	0.0364594i
$557$		−	23.4292i		−	0.992725i	−0.868115	−	0.496362i	$-0.834669\pi$
$557$		−	23.4292i		−	0.992725i	0.868115	−	0.496362i	$-0.165331\pi$
$558$	−1.27933	+	1.94104i	−0.0541583	+	0.0821706i
$559$	−2.92573	+	1.68917i	−0.123745	+	0.0714444i
$560$	4.41938	+	21.1104i	0.186753	+	0.892076i
$561$	18.7762	+	7.46983i	0.792734	+	0.315376i
$562$	2.89593	−	16.4236i	0.122157	−	0.692789i
$563$	−6.83228	+	2.48675i	−0.287946	+	0.104804i	−0.481955	−	0.876196i	$-0.660073\pi$
$563$	−6.83228	+	2.48675i	−0.287946	+	0.104804i	0.194009	+	0.981000i	$0.437851\pi$
$564$	1.69244	+	1.04504i	0.0712644	+	0.0440040i
$565$	24.5088	−	4.32156i	1.03109	−	0.181810i
$566$	35.5001			1.49218
$567$	−19.4944	+	13.6737i	−0.818686	+	0.574242i
$568$	−31.9213			−1.33939
$569$	15.3756	−	2.71113i	0.644578	−	0.113656i	0.158203	−	0.987407i	$-0.449430\pi$
$569$	15.3756	−	2.71113i	0.644578	−	0.113656i	0.486375	+	0.873750i	$0.338319\pi$
$570$	37.6664	+	23.2581i	1.57767	+	0.974174i
$571$	7.78348	−	2.83296i	0.325729	−	0.118556i	−0.173980	−	0.984749i	$-0.555663\pi$
$571$	7.78348	−	2.83296i	0.325729	−	0.118556i	0.499708	+	0.866194i	$0.333440\pi$
$572$	0.551964	−	3.13034i	0.0230788	−	0.130886i
$573$	−29.8390	−	11.8710i	−1.24654	−	0.495916i
$574$	−14.9498	−	16.7064i	−0.623991	−	0.697311i
$575$	−37.3626	+	21.5713i	−1.55813	+	0.899586i
$576$	25.1510	+	1.48926i	1.04796	+	0.0620524i
$577$		−	29.9556i		−	1.24707i	−0.781797	−	0.623533i	$-0.785697\pi$
$577$		−	29.9556i		−	1.24707i	0.781797	−	0.623533i	$-0.214303\pi$
$578$	−10.7997	+	1.90428i	−0.449209	+	0.0792077i
$579$	−36.8290	−	7.62312i	−1.53056	−	0.316806i
$580$	0.620856	−	0.739908i	0.0257797	−	0.0307230i
$581$	25.3032	−	10.1328i	1.04975	−	0.420380i
$582$	−13.2120	+	14.8318i	−0.547655	+	0.614797i
$583$	−3.51806	+	2.95200i	−0.145703	+	0.122259i
$584$	−17.4573			−0.722387
$585$	4.86721	−	11.2536i	0.201234	−	0.465277i
$586$		−	16.0405i		−	0.662627i
$587$	1.70034	+	9.64312i	0.0701806	+	0.398014i	0.999581	+	0.0289412i	$0.00921356\pi$
$587$	1.70034	+	9.64312i	0.0701806	+	0.398014i	−0.929401	+	0.369073i	$0.879675\pi$
$588$	−5.91941	−	6.58492i	−0.244112	−	0.271557i
$589$	−3.60703	+	1.31285i	−0.148625	+	0.0540952i
$590$	32.4218	−	38.6388i	1.33478	−	1.59073i
$591$	−24.7244	−	0.731358i	−1.01702	−	0.0300840i
$592$	6.48645	+	2.36087i	0.266591	+	0.0970313i
$593$	2.54164	−	4.40224i	0.104372	−	0.180778i	−0.809109	−	0.587658i	$-0.800050\pi$
$593$	2.54164	−	4.40224i	0.104372	−	0.180778i	0.913482	+	0.406880i	$0.133383\pi$
$594$	−6.52266	−	24.4848i	−0.267628	−	1.00462i
$595$	−13.6860	+	25.5499i	−0.561073	+	1.04745i
$596$	7.97335	+	9.50226i	0.326601	+	0.389228i
$597$	−4.73052	+	7.66106i	−0.193607	+	0.313547i
$598$	−1.45245	−	3.99056i	−0.0593950	−	0.163186i
$599$	15.6458	−	18.6459i	0.639268	−	0.761850i	−0.344986	−	0.938608i	$-0.612116\pi$
$599$	15.6458	−	18.6459i	0.639268	−	0.761850i	0.984254	+	0.176758i	$0.0565608\pi$
$600$	57.0051	+	22.6786i	2.32722	+	0.925848i
$601$	30.7674	−	5.42513i	1.25503	−	0.221295i	0.493683	−	0.869642i	$-0.335650\pi$
$601$	30.7674	−	5.42513i	1.25503	−	0.221295i	0.761346	+	0.648346i	$0.224539\pi$
$602$	−8.82750	−	4.72852i	−0.359782	−	0.192720i
$603$	3.33974	−	0.996338i	0.136005	−	0.0405740i
$604$	−3.48093	−	6.02915i	−0.141637	−	0.245323i
$605$	−5.45356	−	30.9287i	−0.221719	−	1.25743i
$606$	−11.3509	+	3.75518i	−0.461097	+	0.152544i
$607$	−8.19540	−	22.5167i	−0.332641	−	0.913924i	−0.987422	−	0.158105i	$-0.949461\pi$
$607$	−8.19540	−	22.5167i	−0.332641	−	0.913924i	0.654781	−	0.755818i	$-0.272761\pi$
$608$	16.6441	+	13.9661i	0.675008	+	0.566399i
$609$	0.255670	−	1.46940i	0.0103603	−	0.0595431i
$610$	−35.1640	−	12.7986i	−1.42375	−	0.518202i
$611$	−1.36965	+	0.790769i	−0.0554102	+	0.0319911i
$612$	4.29226	+	4.05738i	0.173504	+	0.164010i
$613$	12.6996	−	21.9963i	0.512931	−	0.888422i	−0.486957	−	0.873426i	$-0.661893\pi$
$613$	12.6996	−	21.9963i	0.512931	−	0.888422i	0.999888	−	0.0149962i	$-0.00477363\pi$
$614$	−22.7875	−	8.29397i	−0.919628	−	0.334717i
$615$	−52.3731	+	7.64570i	−2.11189	+	0.308304i
$616$	32.7012	−	13.0954i	1.31757	−	0.527628i
$617$	12.5023	+	2.20449i	0.503324	+	0.0887495i	0.419544	−	0.907735i	$-0.362190\pi$
$617$	12.5023	+	2.20449i	0.503324	+	0.0887495i	0.0837791	+	0.996484i	$0.473301\pi$
$618$	5.06842	+	3.12963i	0.203882	+	0.125892i
$619$	0.171762	−	0.471912i	0.00690370	−	0.0189678i	−0.936193	−	0.351487i	$-0.885676\pi$
$619$	0.171762	−	0.471912i	0.00690370	−	0.0189678i	0.943097	+	0.332519i	$0.107899\pi$
$620$	−1.76744	+	1.02043i	−0.0709822	+	0.0409816i
$621$	13.7482	+	13.7881i	0.551696	+	0.553297i
$622$			17.5441i			0.703456i
$623$	33.7914	+	11.0944i	1.35382	+	0.444489i
$624$	−1.83601	+	2.97340i	−0.0734990	+	0.119031i
$625$	38.2934	+	32.1319i	1.53173	+	1.28528i
$626$	25.9375	+	21.7642i	1.03667	+	0.869871i
$627$	15.4659	−	38.8752i	0.617648	−	1.55253i
$628$	−4.94698	+	13.5917i	−0.197406	+	0.542368i
$629$	4.63819	+	8.03357i	0.184937	+	0.320320i
$630$	35.9512	−	5.33140i	1.43233	−	0.212408i
$631$	−2.95212	+	5.11322i	−0.117522	+	0.203554i	−0.918785	−	0.394758i	$-0.870828\pi$
$631$	−2.95212	+	5.11322i	−0.117522	+	0.203554i	0.801263	+	0.598312i	$0.204162\pi$
$632$	−4.42221	−	5.27019i	−0.175906	−	0.209637i
$633$	−11.4713	−	2.37441i	−0.455942	−	0.0943741i
$634$	−4.01693	+	22.7811i	−0.159533	+	0.904754i
$635$	−72.7920	+	26.4941i	−2.88866	+	1.05139i
$636$	−1.27440	+	0.421607i	−0.0505333	+	0.0167178i
$637$	6.84144	−	1.66116i	0.271068	−	0.0658176i
$638$	1.37448	+	0.793558i	0.0544163	+	0.0314173i
$639$	−1.83991	+	31.0729i	−0.0727856	+	1.22922i
$640$	−5.90575	−	3.40969i	−0.233445	−	0.134780i
$641$	−6.06084	−	7.22302i	−0.239389	−	0.285292i	0.632952	−	0.774191i	$-0.281843\pi$
$641$	−6.06084	−	7.22302i	−0.239389	−	0.285292i	−0.872340	+	0.488899i	$0.837399\pi$
$642$	−14.3392	−	18.1529i	−0.565923	−	0.716437i
$643$	−3.08722	−	8.48206i	−0.121748	−	0.334500i	0.863815	−	0.503809i	$-0.168069\pi$
$643$	−3.08722	−	8.48206i	−0.121748	−	0.334500i	−0.985563	+	0.169309i	$0.945846\pi$
$644$	−4.47511	+	5.69174i	−0.176344	+	0.224286i
$645$	−20.8155	+	11.2107i	−0.819610	+	0.441419i
$646$	−2.94435	−	16.6982i	−0.115844	−	0.656984i
$647$	−12.1970	−	21.1259i	−0.479514	−	0.830543i	0.520210	−	0.854039i	$-0.325854\pi$
$647$	−12.1970	−	21.1259i	−0.479514	−	0.830543i	−0.999724	+	0.0234953i	$0.992521\pi$
$648$	3.26759	−	27.4953i	0.128363	−	1.08012i
$649$	−41.2843	−	23.8355i	−1.62055	−	0.935625i
$650$	−9.99518	+	8.38695i	−0.392043	+	0.328963i
$651$	−1.56954	+	2.73277i	−0.0615151	+	0.107106i
$652$	−2.85881	+	16.2131i	−0.111960	+	0.634954i
$653$	−30.9401	−	5.45557i	−1.21078	−	0.213493i	−0.468427	−	0.883502i	$-0.655179\pi$
$653$	−30.9401	−	5.45557i	−1.21078	−	0.213493i	−0.742353	+	0.670009i	$0.766290\pi$
$654$	−0.685793	−	4.69769i	−0.0268166	−	0.183694i
$655$	−28.1383	+	23.6108i	−1.09945	+	0.922551i
$656$	15.0854			0.588984
$657$	−1.00622	+	16.9933i	−0.0392562	+	0.662970i
$658$	−4.13250	−	2.21361i	−0.161102	−	0.0862955i
$659$	−4.14303	+	11.3829i	−0.161390	+	0.443415i	−0.993859	−	0.110657i	$-0.964704\pi$
$659$	−4.14303	+	11.3829i	−0.161390	+	0.443415i	0.832469	+	0.554072i	$0.186927\pi$
$660$	4.50881	−	21.7831i	0.175505	−	0.847905i
$661$	39.7487	+	7.00877i	1.54605	+	0.272610i	0.880609	−	0.473844i	$-0.157134\pi$
$661$	39.7487	+	7.00877i	1.54605	+	0.272610i	0.665437	+	0.746454i	$0.268245\pi$
$662$	−27.8542	−	4.91146i	−1.08259	−	0.190889i
$663$	−4.45860	+	1.47503i	−0.173157	+	0.0572853i
$664$	−10.8402	+	29.7832i	−0.420681	+	1.15581i
$665$	52.8998	+	28.3362i	2.05137	+	1.09883i
$666$	4.61745	−	10.6761i	0.178922	−	0.413690i
$667$	−1.21960			−0.0472229
$668$	6.57764	−	5.51929i	0.254496	−	0.213548i
$669$	8.81837	+	3.50825i	0.340938	+	0.135637i
$670$	−5.23870	−	0.923724i	−0.202389	−	0.0356866i
$671$	−6.14139	+	34.8296i	−0.237086	+	1.34458i
$672$	17.8381	−	0.0403366i	0.688120	−	0.00155602i
$673$	2.82302	−	2.36879i	0.108819	−	0.0913103i	−0.586755	−	0.809765i	$-0.699595\pi$
$673$	2.82302	−	2.36879i	0.108819	−	0.0913103i	0.695574	+	0.718455i	$0.255150\pi$
$674$	10.3024	+	5.94808i	0.396833	+	0.229112i
$675$	25.3615	−	54.1827i	0.976164	−	2.08549i
$676$	−4.37759	−	7.58220i	−0.168369	−	0.291623i
$677$	−0.487731	−	2.76606i	−0.0187450	−	0.106308i	0.974000	−	0.226549i	$-0.0727444\pi$
$677$	−0.487731	−	2.76606i	−0.0187450	−	0.106308i	−0.992745	+	0.120241i	$0.961633\pi$
$678$	−0.353411	+	11.9475i	−0.0135727	+	0.458840i
$679$	−16.6428	+	21.1674i	−0.638693	+	0.812332i
$680$	−11.5274	−	31.6712i	−0.442055	−	1.21454i
$681$	−2.97057	+	7.46686i	−0.113832	+	0.286131i
$682$	−2.15560	−	2.56894i	−0.0825420	−	0.0983698i
$683$	25.8376	+	14.9173i	0.988648	+	0.570796i	0.904870	−	0.425689i	$-0.139968\pi$
$683$	25.8376	+	14.9173i	0.988648	+	0.570796i	0.0837778	+	0.996484i	$0.473301\pi$
$684$	8.40059	−	8.88690i	0.321205	−	0.339799i
$685$	3.96876	+	2.29137i	0.151639	+	0.0875486i
$686$	14.8775	+	14.6345i	0.568024	+	0.558748i
$687$	1.73766	−	8.39502i	0.0662959	−	0.320290i
$688$	6.33207	−	2.30469i	0.241408	−	0.0878654i
$689$	0.185335	−	1.05108i	0.00706069	−	0.0400431i
$690$	−9.33438	−	28.2152i	−0.355354	−	1.07413i
$691$	−1.09694	−	1.30729i	−0.0417297	−	0.0497315i	0.744776	−	0.667315i	$-0.232556\pi$
$691$	−1.09694	−	1.30729i	−0.0417297	−	0.0497315i	−0.786506	+	0.617583i	$0.788112\pi$
$692$	7.08657	−	12.2743i	0.269391	−	0.466599i
$693$	−10.8624	−	32.5868i	−0.412630	−	1.23787i
$694$	8.67163	+	15.0197i	0.329170	+	0.570140i
$695$	9.42201	−	25.8867i	0.357397	−	0.981940i
$696$	1.07503	+	1.36094i	0.0407488	+	0.0515865i
$697$	15.5298	+	13.0311i	0.588234	+	0.493587i
$698$	0.875694	+	0.734795i	0.0331455	+	0.0278124i
$699$	10.7673	+	0.318500i	0.407255	+	0.0120468i
$700$	21.1357	+	6.93931i	0.798856	+	0.262281i
$701$		−	10.1720i		−	0.384193i	−0.981376	−	0.192096i	$-0.938471\pi$
$701$		−	10.1720i		−	0.384193i	0.981376	−	0.192096i	$-0.0615287\pi$
$702$	4.81886	+	3.38462i	0.181876	+	0.127744i
$703$	16.6331	−	9.60313i	0.627329	−	0.362189i
$704$	−12.4307	+	34.1532i	−0.468501	+	1.28720i
$705$	−9.74457	+	5.24815i	−0.367002	+	0.197657i
$706$	−28.1100	−	4.95655i	−1.05793	−	0.186542i
$707$	−15.0460	+	6.02527i	−0.565865	+	0.226604i
$708$	−8.63685	−	10.9339i	−0.324593	−	0.410922i
$709$	−1.72281	−	0.627053i	−0.0647017	−	0.0235495i	0.309467	−	0.950910i	$-0.399850\pi$
$709$	−1.72281	−	0.627053i	−0.0647017	−	0.0235495i	−0.374168	+	0.927361i	$0.622072\pi$
$710$	23.7551	−	41.1451i	0.891513	−	1.54415i
$711$	−5.38500	+	4.00091i	−0.201953	+	0.150046i
$712$	−35.8161	+	20.6784i	−1.34226	+	0.774957i
$713$	2.42155	+	0.881371i	0.0906877	+	0.0330076i
$714$	−10.6841	−	8.92394i	−0.399843	−	0.333970i
$715$	13.5491	+	11.3690i	0.506707	+	0.425178i
$716$	1.31593	+	3.61550i	0.0491787	+	0.135117i
$717$	12.3024	+	10.9589i	0.459442	+	0.409267i
$718$	−0.355858	−	2.01817i	−0.0132805	−	0.0753175i
$719$	21.2752	+	36.8498i	0.793432	+	1.37427i	0.923830	+	0.382803i	$0.125041\pi$
$719$	21.2752	+	36.8498i	0.793432	+	1.37427i	−0.130397	+	0.991462i	$0.541625\pi$
$720$	−13.4584	+	20.4195i	−0.501566	+	0.760992i
$721$	7.11826	+	3.81295i	0.265098	+	0.142002i
$722$	−13.4887	+	2.37843i	−0.501998	+	0.0885159i
$723$	−30.1924	+	23.8493i	−1.12287	+	0.886966i
$724$	−3.48341	+	4.15137i	−0.129460	+	0.154284i
$725$	1.28161	+	3.52119i	0.0475978	+	0.130774i
$726$	15.0770	+	0.445985i	0.559560	+	0.0165520i
$727$	−5.61173	−	6.68779i	−0.208127	−	0.248037i	0.651875	−	0.758326i	$-0.273983\pi$
$727$	−5.61173	−	6.68779i	−0.208127	−	0.248037i	−0.860003	+	0.510290i	$0.829538\pi$
$728$	−3.86553	+	7.21641i	−0.143266	+	0.267458i
$729$	−26.5761	−	4.76554i	−0.984300	−	0.176501i
$730$	12.9913	−	22.5016i	0.480829	−	0.832820i
$731$	8.50948	+	3.09720i	0.314735	+	0.114554i
$732$	−5.43109	+	8.79562i	−0.200739	+	0.325096i
$733$	−6.17903	+	7.36388i	−0.228228	+	0.271991i	−0.867990	−	0.496582i	$-0.834588\pi$
$733$	−6.17903	+	7.36388i	−0.228228	+	0.271991i	0.639762	+	0.768573i	$0.279033\pi$
$734$	37.9309	−	13.8057i	1.40006	−	0.509579i
$735$	48.2008	−	10.2045i	1.77791	−	0.376398i
$736$	−2.53291	−	14.3648i	−0.0933643	−	0.529495i
$737$			5.02755i			0.185192i
$738$	1.50258	−	25.3760i	0.0553107	−	0.934103i
$739$	6.95825			0.255963			0.127982	−	0.991777i	$-0.459150\pi$
$739$	6.95825			0.255963			0.127982	+	0.991777i	$0.459150\pi$
$740$	7.82253	−	6.56388i	0.287562	−	0.241293i
$741$	3.05397	+	9.23129i	0.112190	+	0.339120i
$742$	2.93697	−	1.17613i	0.107820	−	0.0431770i
$743$	−25.6686	+	30.5906i	−0.941688	+	1.12226i	0.0506507	+	0.998716i	$0.483870\pi$
$743$	−25.6686	+	30.5906i	−0.941688	+	1.12226i	−0.992339	+	0.123544i	$0.960574\pi$
$744$	−1.15098	−	3.47909i	−0.0421970	−	0.127550i
$745$	−67.9735	+	11.9856i	−2.49036	+	0.439117i
$746$			5.69737i			0.208595i
$747$	28.3667	+	12.2687i	1.03788	+	0.448889i
$748$	−7.37878	+	4.26014i	−0.269795	+	0.155766i
$749$	−20.9120	−	23.3692i	−0.764107	−	0.853890i
$750$	−40.5356	+	32.0196i	−1.48015	+	1.16919i
$751$	5.28500	−	29.9727i	0.192852	−	1.09372i	−0.722592	−	0.691275i	$-0.757049\pi$
$751$	5.28500	−	29.9727i	0.192852	−	1.09372i	0.915444	−	0.402445i	$-0.131839\pi$
$752$	2.96430	−	1.07892i	0.108097	−	0.0393440i
$753$	−0.0174774	+	0.590842i	−0.000636910	+	0.0215315i
$754$	−0.363243	+	0.0640496i	−0.0132285	+	0.00233255i
$755$	38.7383			1.40983
$756$	0.570788	−	10.0237i	0.0207594	−	0.364559i
$757$	31.9836			1.16246			0.581232	−	0.813738i	$-0.302571\pi$
$757$	31.9836			1.16246			0.581232	+	0.813738i	$0.302571\pi$
$758$	−32.3035	+	5.69597i	−1.17331	+	0.206887i
$759$	−24.7295	+	13.3186i	−0.897626	+	0.483436i
$760$	−65.5737	+	23.8669i	−2.37861	+	0.865742i
$761$	4.85956	−	27.5599i	0.176159	−	0.999047i	−0.760639	−	0.649175i	$-0.775114\pi$
$761$	4.85956	−	27.5599i	0.176159	−	0.999047i	0.936798	−	0.349872i	$-0.113775\pi$
$762$	−5.37430	−	36.8141i	−0.194690	−	1.33363i
$763$	−1.31872	−	6.29923i	−0.0477409	−	0.228047i
$764$	11.7263	−	6.77017i	0.424242	−	0.244936i
$765$	−31.4938	+	9.39550i	−1.13866	+	0.339695i
$766$			5.99216i			0.216505i
$767$	10.9105	−	1.92381i	0.393954	−	0.0694647i
$768$	−17.1727	+	19.2781i	−0.619667	+	0.695637i
$769$	−27.8261	+	33.1619i	−1.00344	+	1.19585i	−0.0228544	+	0.999739i	$0.507275\pi$
$769$	−27.8261	+	33.1619i	−1.00344	+	1.19585i	−0.980582	+	0.196110i	$0.937169\pi$
$770$	−7.45617	+	51.8955i	−0.268702	+	1.87019i
$771$	19.0831	+	3.94995i	0.687261	+	0.142254i
$772$	12.1477	−	10.1931i	0.437204	−	0.366858i
$773$	−31.2005			−1.12220			−0.561102	−	0.827746i	$-0.689623\pi$
$773$	−31.2005			−1.12220			−0.561102	+	0.827746i	$0.689623\pi$
$774$	−3.24614	−	10.8811i	−0.116680	−	0.391114i
$775$		−	7.91763i		−	0.284410i
$776$	−5.43706	−	30.8351i	−0.195179	−	1.10692i
$777$	5.35957	−	14.8295i	0.192273	−	0.532007i
$778$	−10.4269	+	3.79506i	−0.373821	+	0.136060i
$779$	26.9802	−	32.1537i	0.966665	−	1.15203i
$780$	2.45135	+	4.55157i	0.0877724	+	0.162972i
$781$	−42.1946	−	15.3576i	−1.50984	−	0.549538i
$782$	−5.69157	+	9.85808i	−0.203530	+	0.352524i
$783$	1.38673	−	0.968010i	0.0495578	−	0.0345939i
$784$	−14.0140	+	0.893425i	−0.500500	+	0.0319080i
$785$	−51.7334	−	61.6534i	−1.84644	−	2.20051i
$786$	−8.36523	−	15.5322i	−0.298378	−	0.554017i
$787$	−6.26398	−	17.2101i	−0.223287	−	0.613475i	0.776576	−	0.630023i	$-0.216955\pi$
$787$	−6.26398	−	17.2101i	−0.223287	−	0.613475i	−0.999863	+	0.0165479i	$0.994732\pi$
$788$	6.70383	−	7.98931i	0.238814	−	0.284607i
$789$	4.26435	+	29.2108i	0.151815	+	1.03993i
$790$	10.0839	−	1.77807i	0.358770	−	0.0632608i
$791$	0.515714	+	16.1951i	0.0183367	+	0.575831i
$792$	36.6604	+	15.8558i	1.30267	+	0.563410i
$793$	−4.10964	−	7.11811i	−0.145938	−	0.252772i
$794$	−0.625400	−	3.54682i	−0.0221946	−	0.125872i
$795$	1.51394	−	7.31417i	0.0536938	−	0.259407i
$796$	−1.29844	−	3.56743i	−0.0460219	−	0.126444i
$797$	1.35237	+	1.13477i	0.0479033	+	0.0401956i	0.666425	−	0.745572i	$-0.267824\pi$
$797$	1.35237	+	1.13477i	0.0479033	+	0.0401956i	−0.618522	+	0.785768i	$0.712268\pi$
$798$	−18.4766	+	22.1209i	−0.654063	+	0.783072i
$799$	3.98363	+	1.44992i	0.140931	+	0.0512946i
$800$	−38.8122	+	22.4082i	−1.37222	+	0.792251i
$801$	18.0644	+	36.0560i	0.638274	+	1.27398i
$802$	−8.73789	+	15.1345i	−0.308546	+	0.534417i
$803$	−23.0756	−	8.39882i	−0.814319	−	0.296388i
$804$	−0.543204	+	1.36541i	−0.0191573	+	0.0481541i
$805$	−14.9772	−	37.4005i	−0.527878	−	1.31819i
$806$	0.767518	+	0.135334i	0.0270347	+	0.00476694i
$807$	−0.461068	+	15.5869i	−0.0162304	+	0.548686i
$808$	6.44589	−	17.7099i	0.226766	−	0.623034i
$809$	−25.9442	+	14.9789i	−0.912150	+	0.526630i	−0.881122	−	0.472889i	$-0.843211\pi$
$809$	−25.9442	+	14.9789i	−0.912150	+	0.526630i	−0.0310274	+	0.999519i	$0.509878\pi$
$810$	33.0084	+	24.6731i	1.15980	+	0.866924i
$811$		−	5.15318i		−	0.180952i	−0.995899	−	0.0904762i	$-0.971161\pi$
$811$		−	5.15318i		−	0.180952i	0.995899	−	0.0904762i	$-0.0288389\pi$
$812$	0.419354	+	0.468628i	0.0147164	+	0.0164456i
$813$	−12.1534	−	22.5660i	−0.426239	−	0.791424i
$814$	12.8538	+	10.7856i	0.450526	+	0.378036i
$815$	−70.1752	−	58.8840i	−2.45813	−	2.06262i
$816$	9.26891	−	1.35312i	0.324477	−	0.0473688i
$817$	6.41259	−	17.6184i	0.224348	−	0.616392i
$818$	−2.36757	−	4.10074i	−0.0827800	−	0.143379i
$819$	6.80179	+	4.17873i	0.237674	+	0.146017i
$820$	11.1583	−	19.3267i	0.389665	−	0.674919i
$821$	−16.2292	−	19.3412i	−0.566403	−	0.675013i	0.404485	−	0.914544i	$-0.367451\pi$
$821$	−16.2292	−	19.3412i	−0.566403	−	0.675013i	−0.970889	+	0.239531i	$0.923006\pi$
$822$	−1.46401	+	1.64349i	−0.0510632	+	0.0573235i
$823$	−4.57175	+	25.9277i	−0.159361	+	0.903783i	0.795328	+	0.606179i	$0.207299\pi$
$823$	−4.57175	+	25.9277i	−0.159361	+	0.903783i	−0.954689	+	0.297604i	$0.903813\pi$
$824$	−8.82366	+	3.21155i	−0.307387	+	0.111880i
$825$	64.4403	+	57.4028i	2.24352	+	1.99851i
$826$	21.8991	+	24.4723i	0.761967	+	0.851499i
$827$	24.6892	+	14.2543i	0.858528	+	0.495672i	0.863519	−	0.504316i	$-0.168255\pi$
$827$	24.6892	+	14.2543i	0.858528	+	0.495672i	−0.00499088	+	0.999988i	$0.501589\pi$
$828$	−8.15518	+	0.945219i	−0.283412	+	0.0328486i
$829$	−36.2746	−	20.9432i	−1.25987	−	0.727387i	−0.286821	−	0.957984i	$-0.592599\pi$
$829$	−36.2746	−	20.9432i	−1.25987	−	0.727387i	−0.973049	+	0.230598i	$0.925932\pi$
$830$	−30.3220	−	36.1364i	−1.05249	−	1.25431i
$831$	52.5962	−	7.67827i	1.82454	−	0.266356i
$832$	−2.88891	−	7.93722i	−0.100155	−	0.275174i
$833$	−15.1987	−	11.1859i	−0.526603	−	0.387567i
$834$	11.2576	+	6.95131i	0.389819	+	0.240704i
$835$	8.29663	+	47.0525i	0.287117	+	1.62832i
$836$	8.82041	+	15.2774i	0.305060	+	0.528380i
$837$	−3.45296	+	0.919858i	−0.119352	+	0.0317949i
$838$	20.0365	+	11.5681i	0.692149	+	0.399613i
$839$	28.1096	−	23.5867i	0.970451	−	0.814305i	−0.0121707	−	0.999926i	$-0.503874\pi$
$839$	28.1096	−	23.5867i	0.970451	−	0.814305i	0.982621	+	0.185621i	$0.0594297\pi$
$840$	−28.5333	+	49.6801i	−0.984491	+	1.71413i
$841$	5.01740	−	28.4551i	0.173014	−	0.981211i
$842$	−26.3196	−	4.64085i	−0.907033	−	0.159934i
$843$	20.1159	−	15.8898i	0.692828	−	0.547274i
$844$	3.78369	−	3.17489i	0.130240	−	0.109284i
$845$	48.7169			1.67591
$846$	−1.51965	−	5.09388i	−0.0522466	−	0.175131i
$847$	20.4373	−	0.650801i	0.702233	−	0.0223618i
$848$	−0.728105	+	2.00045i	−0.0250032	+	0.0686958i
$849$	40.7462	+	36.2963i	1.39841	+	1.24569i
$850$	34.4431	+	6.07324i	1.18139	+	0.208310i
$851$	−12.6980	−	2.23901i	−0.435283	−	0.0767522i
$852$	−9.80009	−	8.72983i	−0.335746	−	0.299079i
$853$	2.12041	−	5.82579i	0.0726015	−	0.199471i	−0.898084	−	0.439824i	$-0.855041\pi$
$853$	2.12041	−	5.82579i	0.0726015	−	0.199471i	0.970686	+	0.240353i	$0.0772631\pi$
$854$	11.5042	−	21.4767i	0.393665	−	0.734918i
$855$	19.4529	+	65.2064i	0.665275	+	2.23001i
$856$	36.4656			1.24637
$857$	−25.9522	+	21.7765i	−0.886511	+	0.743871i	−0.967507	−	0.252843i	$-0.918634\pi$
$857$	−25.9522	+	21.7765i	−0.886511	+	0.743871i	0.0809960	+	0.996714i	$0.474190\pi$
$858$	−6.66597	+	5.26553i	−0.227572	+	0.179762i
$859$	9.79281	+	1.72674i	0.334126	+	0.0589155i	0.338194	−	0.941076i	$-0.390184\pi$
$859$	9.79281	+	1.72674i	0.334126	+	0.0589155i	−0.00406817	+	0.999992i	$0.501295\pi$
$860$	1.73102	−	9.81711i	0.0590273	−	0.334761i
$861$	−0.0779239	−	34.4603i	−0.00265564	−	1.17440i
$862$	−30.3483	+	25.4652i	−1.03367	+	0.867349i
$863$	23.9461	+	13.8253i	0.815135	+	0.470619i	0.848736	−	0.528817i	$-0.177364\pi$
$863$	23.9461	+	13.8253i	0.815135	+	0.470619i	−0.0336007	+	0.999435i	$0.510697\pi$
$864$	14.2816	+	14.3230i	0.485870	+	0.487280i
$865$	39.4322	+	68.2986i	1.34074	+	2.32222i
$866$	−1.81884	−	10.3152i	−0.0618067	−	0.350523i
$867$	−14.3427	−	8.85627i	−0.487103	−	0.300775i
$868$	−0.493975	−	1.23353i	−0.0167666	−	0.0418688i
$869$	−3.30990	−	9.09386i	−0.112281	−	0.308488i
$870$	−2.55420	+	0.372875i	−0.0865955	+	0.0126417i
$871$	−0.751037	−	0.895051i	−0.0254479	−	0.0303277i
$872$	6.48103	+	3.74182i	0.219475	+	0.126714i
$873$	−30.3289	+	3.51525i	−1.02648	+	0.118973i
$874$	20.4107	+	11.7841i	0.690401	+	0.398603i
$875$	−52.1835	+	46.6967i	−1.76413	+	1.57864i
$876$	−5.35951	−	4.77420i	−0.181081	−	0.161305i
$877$	22.2987	−	8.11605i	0.752973	−	0.274060i	0.0631166	−	0.998006i	$-0.479896\pi$
$877$	22.2987	−	8.11605i	0.752973	−	0.274060i	0.689856	+	0.723946i	$0.257674\pi$
$878$	−2.97543	+	16.8745i	−0.100416	+	0.569486i
$879$	16.4003	−	18.4109i	0.553168	−	0.620986i
$880$	−22.6767	−	27.0250i	−0.764431	−	0.911014i
$881$	2.87042	−	4.97171i	0.0967068	−	0.167501i	−0.813613	−	0.581407i	$-0.802502\pi$
$881$	2.87042	−	4.97171i	0.0967068	−	0.167501i	0.910320	+	0.413906i	$0.135836\pi$
$882$	0.107016	+	23.6628i	0.00360342	+	0.796767i
$883$	−12.6605	−	21.9287i	−0.426061	−	0.737960i	0.570457	−	0.821327i	$-0.306766\pi$
$883$	−12.6605	−	21.9287i	−0.426061	−	0.737960i	−0.996519	+	0.0833671i	$0.973433\pi$
$884$	0.677241	−	1.86070i	0.0227781	−	0.0625823i
$885$	76.7186	−	11.1998i	2.57887	−	0.376476i
$886$	−3.80184	−	3.19012i	−0.127725	−	0.107174i
$887$	8.74771	+	7.34020i	0.293719	+	0.246460i	0.777724	−	0.628605i	$-0.216374\pi$
$887$	8.74771	+	7.34020i	0.293719	+	0.246460i	−0.484005	+	0.875065i	$0.660818\pi$
$888$	8.69434	+	16.1433i	0.291763	+	0.541734i
$889$	−10.3343	−	49.3647i	−0.346602	−	1.65564i
$890$		−	61.5536i		−	2.06328i
$891$	17.5474	−	34.7721i	0.587860	−	1.16491i
$892$	−3.46549	+	2.00080i	−0.116033	+	0.0669918i
$893$	3.00199	−	8.24790i	0.100458	−	0.276005i
$894$	0.980163	−	33.1355i	0.0327815	−	1.10822i
$895$	−21.0838	−	3.71764i	−0.704754	−	0.124267i
$896$	2.74424	−	3.49031i	0.0916788	−	0.116603i
$897$	2.41299	−	6.06531i	0.0805673	−	0.202515i
$898$	−24.7418	−	9.00528i	−0.825644	−	0.300510i
$899$	0.111912	−	0.193836i	0.00373246	−	0.00646481i
$900$	11.2989	+	22.5522i	0.376629	+	0.751740i
$901$	−2.47760	+	1.43044i	−0.0825407	+	0.0476549i
$902$	34.4587	+	12.5419i	1.14735	+	0.417601i
$903$	−5.29743	−	14.4528i	−0.176287	−	0.480959i
$904$	−14.4334	−	12.1111i	−0.480049	−	0.402809i
$905$	−10.3135	−	28.3360i	−0.342831	−	0.941920i
$906$	−3.77111	+	18.2191i	−0.125287	+	0.605288i
$907$	−4.92810	−	27.9486i	−0.163635	−	0.928020i	−0.950461	−	0.310845i	$-0.899388\pi$
$907$	−4.92810	−	27.9486i	−0.163635	−	0.928020i	0.786826	−	0.617175i	$-0.211723\pi$
$908$	−1.69416	−	2.93436i	−0.0562225	−	0.0973803i
$909$	−16.8677	−	7.29534i	−0.559466	−	0.241971i
$910$	−6.42496	−	10.3528i	−0.212985	−	0.343191i
$911$	39.8169	−	7.02080i	1.31919	−	0.232610i	0.530652	−	0.847590i	$-0.321947\pi$
$911$	39.8169	−	7.02080i	1.31919	−	0.232610i	0.788542	+	0.614980i	$0.210836\pi$
$912$	−2.80157	−	19.1908i	−0.0927693	−	0.635471i
$913$	−28.6578	+	34.1530i	−0.948434	+	1.13030i
$914$	1.31672	+	3.61766i	0.0435532	+	0.119662i
$915$	−27.2748	−	50.6428i	−0.901676	−	1.67420i
$916$	2.32348	+	2.76902i	0.0767699	+	0.0914909i
$917$	−12.6108	−	20.3202i	−0.416446	−	0.671033i
$918$	−1.35294	−	15.7265i	−0.0446535	−	0.519053i
$919$	28.2761	−	48.9757i	0.932744	−	1.61556i	0.154135	−	0.988050i	$-0.450741\pi$
$919$	28.2761	−	48.9757i	0.932744	−	1.61556i	0.778609	−	0.627510i	$-0.215926\pi$
$920$	44.0222	+	16.0228i	1.45137	+	0.528255i
$921$	−17.6750	−	32.8183i	−0.582411	−	1.08140i
$922$	−10.4825	+	12.4926i	−0.345224	+	0.411422i
$923$	9.80606	−	3.56912i	0.322770	−	0.117479i
$924$	13.6208	+	4.92273i	0.448093	+	0.161946i
$925$	6.87929	+	39.0144i	0.226190	+	1.28279i
$926$			2.36874i			0.0778416i
$927$	2.61760	+	8.77424i	0.0859733	+	0.288184i
$928$	−1.26691			−0.0415885
$929$	−23.5554	+	19.7653i	−0.772828	+	0.648480i	−0.941431	−	0.337204i	$-0.890519\pi$
$929$	−23.5554	+	19.7653i	−0.772828	+	0.648480i	0.168604	+	0.985684i	$0.446074\pi$
$930$	5.34092	+	1.10550i	0.175136	+	0.0362508i
$931$	−23.1598	+	31.4681i	−0.759031	+	1.03132i
$932$	−2.91946	+	3.47928i	−0.0956301	+	0.113968i
$933$	−17.9377	+	20.1368i	−0.587253	+	0.659250i
$934$	18.9937	−	3.34910i	0.621493	−	0.109586i
$935$		−	47.4099i		−	1.55047i
$936$	−8.89523	+	2.65370i	−0.290750	+	0.0867388i
$937$	5.05415	−	2.91802i	0.165112	−	0.0953274i	−0.415167	−	0.909745i	$-0.636277\pi$
$937$	5.05415	−	2.91802i	0.165112	−	0.0953274i	0.580279	+	0.814418i	$0.302944\pi$
$938$	1.08037	−	3.29060i	0.0352755	−	0.107442i
$939$	7.51820	+	51.4998i	0.245347	+	1.68063i
$940$	0.810360	−	4.59578i	0.0264310	−	0.149898i
$941$	2.54958	−	0.927972i	0.0831140	−	0.0302510i	−0.300129	−	0.953899i	$-0.597030\pi$
$941$	2.54958	−	0.927972i	0.0831140	−	0.0302510i	0.383243	+	0.923648i	$0.374807\pi$
$942$	34.0325	−	18.3289i	1.10884	−	0.597189i
$943$	−27.7505	+	4.89317i	−0.903682	+	0.159344i
$944$	−22.0977			−0.719220
$945$	46.7150	+	30.6383i	1.51964	+	0.996665i
$946$	16.3801			0.532564
$947$	47.3734	−	8.35321i	1.53943	−	0.271443i	0.661394	−	0.750039i	$-0.269965\pi$
$947$	47.3734	−	8.35321i	1.53943	−	0.271443i	0.878035	+	0.478596i	$0.158854\pi$
$948$	0.0836349	−	2.82737i	0.00271633	−	0.0918288i
$949$	5.36278	−	1.95189i	0.174083	−	0.0633611i
$950$	12.5743	−	71.3126i	0.407965	−	2.31369i
$951$	−27.9027	+	22.0407i	−0.904806	+	0.714718i
$952$	21.4782	−	4.49638i	0.696113	−	0.145729i
$953$	−4.29162	+	2.47777i	−0.139019	+	0.0802628i	−0.567896	−	0.823100i	$-0.692243\pi$
$953$	−4.29162	+	2.47777i	−0.139019	+	0.0802628i	0.428877	+	0.903363i	$0.358909\pi$
$954$	3.29256	+	1.42404i	0.106600	+	0.0461051i
$955$			75.3433i			2.43805i
$956$	−6.84122	+	1.20629i	−0.221261	+	0.0390143i
$957$	0.766245	+	2.31614i	0.0247692	+	0.0748703i
$958$	17.0958	−	20.3740i	0.552341	−	0.658255i
$959$	−1.84418	+	2.34554i	−0.0595516	+	0.0757416i
$960$	−18.5661	−	56.1200i	−0.599217	−	1.81126i
$961$	23.3851	−	19.6224i	0.754358	−	0.632981i
$962$	−3.89956			−0.125727
$963$	2.10183	−	35.4963i	0.0677306	−	1.14385i
$964$		−	16.2228i		−	0.522501i
$965$	15.3223	+	86.8972i	0.493243	+	2.79732i
$966$	19.0479	−	3.40308i	0.612856	−	0.109492i
$967$	−56.8340	+	20.6859i	−1.82766	+	0.665213i	−0.834138	+	0.551556i	$0.814034\pi$
$967$	−56.8340	+	20.6859i	−1.82766	+	0.665213i	−0.993520	+	0.113657i	$0.963743\pi$
$968$	−15.2835	+	18.2141i	−0.491230	+	0.585425i
$969$	13.6933	−	22.1763i	0.439893	−	0.712405i
$970$	43.7911	+	15.9387i	1.40605	+	0.511759i
$971$	27.7235	−	48.0186i	0.889690	−	1.54099i	0.0494491	−	0.998777i	$-0.484253\pi$
$971$	27.7235	−	48.0186i	0.889690	−	1.54099i	0.840241	−	0.542212i	$-0.182413\pi$
$972$	8.52256	−	7.54764i	0.273361	−	0.242091i
$973$	15.8106	+	8.46906i	0.506863	+	0.271506i
$974$	29.4982	+	35.1546i	0.945183	+	1.12642i
$975$	−20.0473	−	0.593009i	−0.642029	−	0.0189915i
$976$	5.60715	+	15.4055i	0.179480	+	0.493119i
$977$	−10.1620	+	12.1105i	−0.325110	+	0.387451i	−0.903699	−	0.428168i	$-0.859159\pi$
$977$	−10.1620	+	12.1105i	−0.325110	+	0.387451i	0.578589	+	0.815619i	$0.303603\pi$
$978$	34.5253	−	27.2720i	1.10400	−	0.872061i
$979$	−57.2914	+	10.1020i	−1.83104	+	0.322862i
$980$	−9.22121	+	18.6150i	−0.294561	+	0.594634i
$981$	4.01593	−	6.09309i	0.128219	−	0.194537i
$982$	3.50529	+	6.07134i	0.111858	+	0.193744i
$983$	3.31763	+	18.8152i	0.105816	+	0.600111i	0.990891	+	0.134664i	$0.0429955\pi$
$983$	3.31763	+	18.8152i	0.105816	+	0.600111i	−0.885076	+	0.465447i	$0.845893\pi$
$984$	29.9213	+	26.6536i	0.953857	+	0.849687i
$985$	19.8483	+	54.5326i	0.632418	+	1.73755i
$986$	0.757379	+	0.635517i	0.0241199	+	0.0202390i
$987$	−2.47994	−	6.76593i	−0.0789373	−	0.215362i
$988$	−3.85249	−	1.40219i	−0.122564	−	0.0446097i
$989$	−10.9007	+	6.29353i	−0.346623	+	0.200123i
$990$	−47.7191	+	35.4540i	−1.51661	+	1.12680i
$991$	−3.22298	+	5.58237i	−0.102381	+	0.177330i	−0.912665	−	0.408708i	$-0.865980\pi$
$991$	−3.22298	+	5.58237i	−0.102381	+	0.177330i	0.810284	+	0.586037i	$0.199313\pi$
$992$	2.51550	+	0.915566i	0.0798671	+	0.0290693i
$993$	−26.9489	−	34.1163i	−0.855198	−	1.08265i
$994$	24.3168	+	19.1190i	0.771281	+	0.606418i
$995$	20.8035	+	3.66822i	0.659515	+	0.116290i
$996$	−11.4731	+	6.17909i	−0.363539	+	0.195792i
$997$	−12.1050	+	33.2582i	−0.383369	+	1.05330i	0.586559	+	0.809906i	$0.300482\pi$
$997$	−12.1050	+	33.2582i	−0.383369	+	1.05330i	−0.969928	+	0.243391i	$0.921740\pi$
$998$	−26.8830	+	15.5209i	−0.850965	+	0.491305i
$999$	16.2154	−	7.53276i	0.513031	−	0.238326i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.ba.a.5.16	✓	132
3.2	odd	2		567.2.ba.a.530.7		132
7.3	odd	6		189.2.bd.a.59.7	yes	132
21.17	even	6		567.2.bd.a.206.16		132
27.11	odd	18		189.2.bd.a.173.7	yes	132
27.16	even	9		567.2.bd.a.278.16		132
189.38	even	18	inner	189.2.ba.a.38.16	yes	132
189.178	odd	18		567.2.ba.a.521.7		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.5.16	✓	132	1.1	even	1	trivial
189.2.ba.a.38.16	yes	132	189.38	even	18	inner
189.2.bd.a.59.7	yes	132	7.3	odd	6
189.2.bd.a.173.7	yes	132	27.11	odd	18
567.2.ba.a.521.7		132	189.178	odd	18
567.2.ba.a.530.7		132	3.2	odd	2
567.2.bd.a.206.16		132	21.17	even	6
567.2.bd.a.278.16		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 $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(1.10969 - 0.195669i) q^{2} +(1.47374 + 0.909998i) q^{3} +(-0.686257 + 0.249777i) q^{4} +(0.705645 - 4.00191i) q^{5} +(1.81345 + 0.721453i) q^{6} +(2.51373 + 0.825312i) q^{7} +(-2.66435 + 1.53826i) q^{8} +(1.34381 + 2.68220i) q^{9} -4.57896i q^{10} +(-4.26189 + 0.751487i) q^{11} +(-1.23866 - 0.256386i) q^{12} +(0.646482 - 0.770447i) q^{13} +(2.95096 + 0.423983i) q^{14} +(4.68167 - 5.25563i) q^{15} +(-1.53673 + 1.28947i) q^{16} -2.69589 q^{17} +(2.01603 + 2.71347i) q^{18} +5.58170i q^{19} +(0.515332 + 2.92259i) q^{20} +(2.95355 + 3.50379i) q^{21} +(-4.58234 + 1.66784i) q^{22} +(2.40867 - 2.87054i) q^{23} +(-5.32637 - 0.157556i) q^{24} +(-10.8189 - 3.93776i) q^{25} +(0.566643 - 0.981454i) q^{26} +(-0.460374 + 5.17572i) q^{27} +(-1.93121 + 0.0614972i) q^{28} +(-0.209206 - 0.249322i) q^{29} +(4.16684 - 6.74819i) q^{30} +(0.235207 + 0.646225i) q^{31} +(2.50212 - 2.98191i) q^{32} +(-6.96477 - 2.77082i) q^{33} +(-2.99160 + 0.527501i) q^{34} +(5.07663 - 9.47737i) q^{35} +(-1.59215 - 1.50502i) q^{36} +(-1.72047 - 2.97994i) q^{37} +(1.09216 + 6.19396i) q^{38} +(1.65385 - 0.547140i) q^{39} +(4.27591 + 11.7480i) q^{40} +(-5.76056 - 4.83369i) q^{41} +(3.96311 + 3.31020i) q^{42} +(-3.15647 - 1.14886i) q^{43} +(2.73705 - 1.58024i) q^{44} +(11.6822 - 3.48512i) q^{45} +(2.11120 - 3.65671i) q^{46} +(-1.47767 - 0.537827i) q^{47} +(-3.43816 + 0.501921i) q^{48} +(5.63772 + 4.14923i) q^{49} +(-12.7761 - 2.25278i) q^{50} +(-3.97303 - 2.45325i) q^{51} +(-0.251212 + 0.690201i) q^{52} +(0.919027 - 0.530601i) q^{53} +(0.501851 + 5.83353i) q^{54} +17.5860i q^{55} +(-7.96702 + 1.66787i) q^{56} +(-5.07934 + 8.22596i) q^{57} +(-0.280939 - 0.235735i) q^{58} +(8.43834 + 7.08061i) q^{59} +(-1.90009 + 4.77609i) q^{60} +(2.79510 - 7.67947i) q^{61} +(0.387453 + 0.671088i) q^{62} +(1.16432 + 7.85139i) q^{63} +(4.19918 - 7.27319i) q^{64} +(-2.62707 - 3.13082i) q^{65} +(-8.27090 - 1.71197i) q^{66} +(0.201732 - 1.14408i) q^{67} +(1.85007 - 0.673371i) q^{68} +(6.16193 - 2.03854i) q^{69} +(3.77907 - 11.5103i) q^{70} +(8.98568 + 5.18788i) q^{71} +(-7.70630 - 5.07919i) q^{72} +(4.91412 + 2.83717i) q^{73} +(-2.49227 - 2.97017i) q^{74} +(-12.3609 - 15.6484i) q^{75} +(-1.39418 - 3.83048i) q^{76} +(-11.3335 - 1.62835i) q^{77} +(1.72820 - 0.930762i) q^{78} +(0.388313 + 2.20223i) q^{79} +(4.07597 + 7.05979i) q^{80} +(-5.38836 + 7.20871i) q^{81} +(-7.33824 - 4.23674i) q^{82} +(7.89183 - 6.62203i) q^{83} +(-2.90206 - 1.66677i) q^{84} +(-1.90234 + 10.7887i) q^{85} +(-3.72750 - 0.657259i) q^{86} +(-0.0814323 - 0.557813i) q^{87} +(10.1992 - 8.55815i) q^{88} +13.4427 q^{89} +(12.2817 - 6.15324i) q^{90} +(2.26094 - 1.40315i) q^{91} +(-0.935970 + 2.57156i) q^{92} +(-0.241430 + 1.16640i) q^{93} +(-1.74499 - 0.307689i) q^{94} +(22.3375 + 3.93870i) q^{95} +(6.40099 - 2.11763i) q^{96} +(-3.48085 + 9.56355i) q^{97} +(7.06800 + 3.50124i) q^{98} +(-7.74280 - 10.4214i) 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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