LMFDB - Embedded newform 966.2.s.a.181.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(97,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 1]))

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

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

chi := DirichletCharacter("966.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.s (of order $22$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			181.4
Character	$\chi$	$=$	966.181
Dual form			966.2.s.a.475.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.296662 + 0.342366i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(2.35940 - 1.19718i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.296662 + 0.342366i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(2.35940 - 1.19718i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(0.381101 + 0.244919i) q^{10} +(1.25631 + 0.180630i) q^{11} +(0.989821 + 0.142315i) q^{12} +(-2.29449 + 3.57030i) q^{13} +(-1.52077 - 2.16501i) q^{14} +(0.412077 - 0.188189i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.531866 + 0.156170i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-1.02004 + 0.299510i) q^{19} +(0.188189 - 0.412077i) q^{20} +(-2.64351 + 0.108862i) q^{21} -1.26923i q^{22} +(4.66820 + 1.09904i) q^{23} -1.00000i q^{24} +(0.682368 + 4.74597i) q^{25} +(3.86050 + 1.76303i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-1.92654 + 1.81340i) q^{28} +(8.48246 + 2.49067i) q^{29} +(-0.244919 - 0.381101i) q^{30} +(-4.32419 + 1.97479i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-1.06774 - 0.686196i) q^{33} +(0.0788880 - 0.548678i) q^{34} +(-0.290071 + 1.16294i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(2.91543 - 2.52623i) q^{37} +(0.441629 + 0.967032i) q^{38} +(3.57030 - 2.29449i) q^{39} +(-0.434665 - 0.127629i) q^{40} +(-0.666300 - 0.577352i) q^{41} +(0.483964 + 2.60111i) q^{42} +(5.19926 + 2.37442i) q^{43} +(-1.25631 + 0.180630i) q^{44} -0.453015 q^{45} +(0.423498 - 4.77710i) q^{46} -8.72627i q^{47} +(-0.989821 + 0.142315i) q^{48} +(4.13353 - 5.64924i) q^{49} +(4.60055 - 1.35084i) q^{50} +(-0.418927 - 0.363002i) q^{51} +(1.19568 - 4.07211i) q^{52} +(-2.10325 - 3.27272i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(-0.434540 + 0.376531i) q^{55} +(2.06912 + 1.64886i) q^{56} +(1.05228 + 0.151295i) q^{57} +(1.25814 - 8.75058i) q^{58} +(7.59001 - 11.8103i) q^{59} +(-0.342366 + 0.296662i) q^{60} +(5.89710 + 12.9129i) q^{61} +(2.57009 + 3.99913i) q^{62} +(2.44984 + 0.999130i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-0.541661 - 1.84473i) q^{65} +(-0.527256 + 1.15453i) q^{66} +(8.09534 - 1.16393i) q^{67} -0.554320 q^{68} +(-3.78979 - 2.93896i) q^{69} +(1.19238 + 0.121615i) q^{70} +(-0.744098 - 5.17532i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(-2.51679 - 8.57139i) q^{73} +(-2.91543 - 2.52623i) q^{74} +(1.35084 - 4.60055i) q^{75} +(0.894338 - 0.574756i) q^{76} +(3.18038 - 1.07785i) q^{77} +(-2.77924 - 3.20742i) q^{78} +(-5.23113 + 8.13980i) q^{79} +(-0.0644708 + 0.448404i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-0.476651 + 0.741683i) q^{82} +(9.54566 + 11.0163i) q^{83} +(2.50576 - 0.849215i) q^{84} +(-0.211252 + 0.135763i) q^{85} +(1.61032 - 5.48426i) q^{86} +(-6.68125 - 5.78934i) q^{87} +(0.357583 + 1.21781i) q^{88} +(2.67504 - 5.85751i) q^{89} +(0.0644708 + 0.448404i) q^{90} +(-1.13934 + 11.1707i) q^{91} +(-4.78874 + 0.260665i) q^{92} +4.75378 q^{93} +(-8.63745 + 1.24188i) q^{94} +(0.200065 - 0.438080i) q^{95} +(0.281733 + 0.959493i) q^{96} +(-11.2536 + 12.9873i) q^{97} +(-6.18000 - 3.28749i) q^{98} +(0.686196 + 1.06774i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9}+O(q^{10}) $ 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9	$ 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9} - 22 q^{14} - 16 q^{16} + 16 q^{18} - 36 q^{23} + 96 q^{25} + 22 q^{28} - 20 q^{29} - 16 q^{32} - 50 q^{35} + 16 q^{36} + 22 q^{37} + 4 q^{39} - 110 q^{43} + 8 q^{46} - 36 q^{50} + 22 q^{51} - 88 q^{53} + 22 q^{57} + 24 q^{58} - 16 q^{64} - 72 q^{70} + 48 q^{71} + 16 q^{72} - 22 q^{74} + 24 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} + 22 q^{84} + 76 q^{85} + 44 q^{86} - 44 q^{88} + 8 q^{92} - 14 q^{95} + 22 q^{98} - 22 q^{99}+O(q^{100}) $ 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9 - 22 * q^14 - 16 * q^16 + 16 * q^18 - 36 * q^23 + 96 * q^25 + 22 * q^28 - 20 * q^29 - 16 * q^32 - 50 * q^35 + 16 * q^36 + 22 * q^37 + 4 * q^39 - 110 * q^43 + 8 * q^46 - 36 * q^50 + 22 * q^51 - 88 * q^53 + 22 * q^57 + 24 * q^58 - 16 * q^64 - 72 * q^70 + 48 * q^71 + 16 * q^72 - 22 * q^74 + 24 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 + 22 * q^84 + 76 * q^85 + 44 * q^86 - 44 * q^88 + 8 * q^92 - 14 * q^95 + 22 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{22}\right)$

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 $

$2$	−0.142315	−	0.989821i	−0.100632	−	0.699909i
$2$	−0.142315	−	0.989821i	−0.100632	−	0.699909i
$3$	−0.909632	−	0.415415i	−0.525176	−	0.239840i
$3$	−0.909632	−	0.415415i	−0.525176	−	0.239840i
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	−0.296662	+	0.342366i	−0.132671	+	0.153111i	−0.818198	−	0.574937i	$-0.805027\pi$
$5$	−0.296662	+	0.342366i	−0.132671	+	0.153111i	0.685527	+	0.728048i	$0.259572\pi$
$6$	−0.281733	+	0.959493i	−0.115017	+	0.391711i
$7$	2.35940	−	1.19718i	0.891769	−	0.452491i
$7$	2.35940	−	1.19718i	0.891769	−	0.452491i
$8$	0.415415	+	0.909632i	0.146871	+	0.321603i
$9$	0.654861	+	0.755750i	0.218287	+	0.251917i
$10$	0.381101	+	0.244919i	0.120515	+	0.0774501i
$11$	1.25631	+	0.180630i	0.378791	+	0.0544620i	0.329081	−	0.944302i	$-0.393261\pi$
$11$	1.25631	+	0.180630i	0.378791	+	0.0544620i	0.0497103	+	0.998764i	$0.484170\pi$
$12$	0.989821	+	0.142315i	0.285737	+	0.0410828i
$13$	−2.29449	+	3.57030i	−0.636377	+	0.990222i	0.361938	+	0.932202i	$0.382115\pi$
$13$	−2.29449	+	3.57030i	−0.636377	+	0.990222i	−0.998315	+	0.0580203i	$0.981521\pi$
$14$	−1.52077	−	2.16501i	−0.406443	−	0.578623i
$15$	0.412077	−	0.188189i	0.106398	−	0.0485903i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	0.531866	+	0.156170i	0.128996	+	0.0378768i	0.345594	−	0.938384i	$-0.387678\pi$
$17$	0.531866	+	0.156170i	0.128996	+	0.0378768i	−0.216597	+	0.976261i	$0.569496\pi$
$18$	0.654861	−	0.755750i	0.154352	−	0.178132i
$19$	−1.02004	+	0.299510i	−0.234013	+	0.0687124i	−0.396636	−	0.917976i	$-0.629823\pi$
$19$	−1.02004	+	0.299510i	−0.234013	+	0.0687124i	0.162623	+	0.986688i	$0.448004\pi$
$20$	0.188189	−	0.412077i	0.0420804	−	0.0921433i
$21$	−2.64351	+	0.108862i	−0.576861	+	0.0237556i
$22$		−	1.26923i		−	0.270600i
$23$	4.66820	+	1.09904i	0.973387	+	0.229165i
$23$	4.66820	+	1.09904i	0.973387	+	0.229165i
$24$		−	1.00000i		−	0.204124i
$25$	0.682368	+	4.74597i	0.136474	+	0.949195i
$26$	3.86050	+	1.76303i	0.757106	+	0.345759i
$27$	−0.281733	−	0.959493i	−0.0542195	−	0.184655i
$28$	−1.92654	+	1.81340i	−0.364082	+	0.342701i
$29$	8.48246	+	2.49067i	1.57515	+	0.462507i	0.948496	−	0.316789i	$-0.102605\pi$
$29$	8.48246	+	2.49067i	1.57515	+	0.462507i	0.626657	+	0.779295i	$0.284423\pi$
$30$	−0.244919	−	0.381101i	−0.0447158	−	0.0695792i
$31$	−4.32419	+	1.97479i	−0.776647	+	0.354683i	−0.763983	−	0.645237i	$-0.776759\pi$
$31$	−4.32419	+	1.97479i	−0.776647	+	0.354683i	−0.0126646	+	0.999920i	$0.504031\pi$
$32$	−0.654861	−	0.755750i	−0.115764	−	0.133599i
$33$	−1.06774	−	0.686196i	−0.185870	−	0.119451i
$34$	0.0788880	−	0.548678i	0.0135292	−	0.0940975i
$35$	−0.290071	+	1.16294i	−0.0490309	+	0.196572i
$36$	−0.841254	−	0.540641i	−0.140209	−	0.0901068i
$37$	2.91543	−	2.52623i	0.479294	−	0.415310i	−0.381418	−	0.924403i	$-0.624564\pi$
$37$	2.91543	−	2.52623i	0.479294	−	0.415310i	0.860712	+	0.509092i	$0.170019\pi$
$38$	0.441629	+	0.967032i	0.0716416	+	0.156873i
$39$	3.57030	−	2.29449i	0.571705	−	0.367413i
$40$	−0.434665	−	0.127629i	−0.0687266	−	0.0201799i
$41$	−0.666300	−	0.577352i	−0.104059	−	0.0901672i	0.601278	−	0.799040i	$-0.294659\pi$
$41$	−0.666300	−	0.577352i	−0.104059	−	0.0901672i	−0.705336	+	0.708873i	$0.749204\pi$
$42$	0.483964	+	2.60111i	0.0746773	+	0.401360i
$43$	5.19926	+	2.37442i	0.792880	+	0.362096i	0.770327	−	0.637649i	$-0.220093\pi$
$43$	5.19926	+	2.37442i	0.792880	+	0.362096i	0.0225533	+	0.999746i	$0.492820\pi$
$44$	−1.25631	+	0.180630i	−0.189396	+	0.0272310i
$45$	−0.453015			−0.0675315
$46$	0.423498	−	4.77710i	0.0624413	−	0.704344i
$47$		−	8.72627i		−	1.27286i	−0.771336	−	0.636429i	$-0.780411\pi$
$47$		−	8.72627i		−	1.27286i	0.771336	−	0.636429i	$-0.219589\pi$
$48$	−0.989821	+	0.142315i	−0.142868	+	0.0205414i
$49$	4.13353	−	5.64924i	0.590504	−	0.807035i
$50$	4.60055	−	1.35084i	0.650617	−	0.191038i
$51$	−0.418927	−	0.363002i	−0.0586615	−	0.0508305i
$52$	1.19568	−	4.07211i	0.165811	−	0.564700i
$53$	−2.10325	−	3.27272i	−0.288904	−	0.449543i	0.666218	−	0.745757i	$-0.267912\pi$
$53$	−2.10325	−	3.27272i	−0.288904	−	0.449543i	−0.955122	+	0.296214i	$0.904276\pi$
$54$	−0.909632	+	0.415415i	−0.123785	+	0.0565308i
$55$	−0.434540	+	0.376531i	−0.0585934	+	0.0507715i
$56$	2.06912	+	1.64886i	0.276498	+	0.220338i
$57$	1.05228	+	0.151295i	0.139378	+	0.0200395i
$58$	1.25814	−	8.75058i	0.165202	−	1.14901i
$59$	7.59001	−	11.8103i	0.988136	−	1.53757i	0.152486	−	0.988306i	$-0.451272\pi$
$59$	7.59001	−	11.8103i	0.988136	−	1.53757i	0.835649	−	0.549263i	$-0.185092\pi$
$60$	−0.342366	+	0.296662i	−0.0441993	+	0.0382989i
$61$	5.89710	+	12.9129i	0.755047	+	1.65332i	0.757079	+	0.653324i	$0.226626\pi$
$61$	5.89710	+	12.9129i	0.755047	+	1.65332i	−0.00203172	+	0.999998i	$0.500647\pi$
$62$	2.57009	+	3.99913i	0.326401	+	0.507890i
$63$	2.44984	+	0.999130i	0.308651	+	0.125879i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	−0.541661	−	1.84473i	−0.0671848	−	0.228810i
$66$	−0.527256	+	1.15453i	−0.0649007	+	0.142113i
$67$	8.09534	−	1.16393i	0.989003	−	0.142197i	0.371219	−	0.928545i	$-0.378940\pi$
$67$	8.09534	−	1.16393i	0.989003	−	0.142197i	0.617784	+	0.786348i	$0.288031\pi$
$68$	−0.554320			−0.0672212
$69$	−3.78979	−	2.93896i	−0.456237	−	0.353809i
$70$	1.19238	+	0.121615i	0.142517	+	0.0145358i
$71$	−0.744098	−	5.17532i	−0.0883082	−	0.614197i	−0.985131	−	0.171806i	$-0.945040\pi$
$71$	−0.744098	−	5.17532i	−0.0883082	−	0.614197i	0.896823	−	0.442391i	$-0.145869\pi$
$72$	−0.415415	+	0.909632i	−0.0489571	+	0.107201i
$73$	−2.51679	−	8.57139i	−0.294568	−	1.00321i	−0.965221	−	0.261435i	$-0.915804\pi$
$73$	−2.51679	−	8.57139i	−0.294568	−	1.00321i	0.670653	−	0.741771i	$-0.266014\pi$
$74$	−2.91543	−	2.52623i	−0.338912	−	0.293669i
$75$	1.35084	−	4.60055i	0.155982	−	0.531226i
$76$	0.894338	−	0.574756i	0.102588	−	0.0659291i
$77$	3.18038	−	1.07785i	0.362438	−	0.122832i
$78$	−2.77924	−	3.20742i	−0.314687	−	0.363168i
$79$	−5.23113	+	8.13980i	−0.588549	+	0.915799i	0.411442	+	0.911436i	$0.365025\pi$
$79$	−5.23113	+	8.13980i	−0.588549	+	0.915799i	−0.999990	+	0.00436339i	$0.998611\pi$
$80$	−0.0644708	+	0.448404i	−0.00720805	+	0.0501331i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	−0.476651	+	0.741683i	−0.0526373	+	0.0819052i
$83$	9.54566	+	11.0163i	1.04777	+	1.20919i	0.977340	+	0.211677i	$0.0678925\pi$
$83$	9.54566	+	11.0163i	1.04777	+	1.20919i	0.0704325	+	0.997517i	$0.477562\pi$
$84$	2.50576	−	0.849215i	0.273401	−	0.0926570i
$85$	−0.211252	+	0.135763i	−0.0229135	+	0.0147256i
$86$	1.61032	−	5.48426i	0.173646	−	0.591383i
$87$	−6.68125	−	5.78934i	−0.716305	−	0.620682i
$88$	0.357583	+	1.21781i	0.0381184	+	0.129819i
$89$	2.67504	−	5.85751i	0.283553	−	0.620895i	−0.713240	−	0.700920i	$-0.752773\pi$
$89$	2.67504	−	5.85751i	0.283553	−	0.620895i	0.996793	+	0.0800253i	$0.0255001\pi$
$90$	0.0644708	+	0.448404i	0.00679582	+	0.0472660i
$91$	−1.13934	+	11.1707i	−0.119435	+	1.17100i
$92$	−4.78874	+	0.260665i	−0.499261	+	0.0271762i
$93$	4.75378			0.492944
$94$	−8.63745	+	1.24188i	−0.890885	+	0.128090i
$95$	0.200065	−	0.438080i	0.0205262	−	0.0449461i
$96$	0.281733	+	0.959493i	0.0287542	+	0.0979278i
$97$	−11.2536	+	12.9873i	−1.14263	+	1.31866i	−0.201937	+	0.979398i	$0.564724\pi$
$97$	−11.2536	+	12.9873i	−1.14263	+	1.31866i	−0.940691	+	0.339265i	$0.889822\pi$
$98$	−6.18000	−	3.28749i	−0.624275	−	0.332086i
$99$	0.686196	+	1.06774i	0.0689653	+	0.107312i
$100$	−1.99182	−	4.36148i	−0.199182	−	0.436148i
$101$	4.74677	−	4.11310i	0.472321	−	0.409268i	−0.385907	−	0.922538i	$-0.626111\pi$
$101$	4.74677	−	4.11310i	0.472321	−	0.409268i	0.858227	+	0.513269i	$0.171566\pi$
$102$	−0.299688	+	0.466324i	−0.0296735	+	0.0461729i
$103$	0.144154	−	1.00261i	0.0142039	−	0.0987904i	−0.981486	−	0.191533i	$-0.938654\pi$
$103$	0.144154	−	1.00261i	0.0142039	−	0.0987904i	0.995690	+	0.0927423i	$0.0295633\pi$
$104$	−4.20082	−	0.603987i	−0.411925	−	0.0592258i
$105$	0.746958	−	0.937344i	0.0728957	−	0.0914754i
$106$	−2.94009	+	2.54760i	−0.285567	+	0.247445i
$107$	13.5169	−	6.17295i	1.30673	−	0.596761i	0.364332	−	0.931269i	$-0.381297\pi$
$107$	13.5169	−	6.17295i	1.30673	−	0.596761i	0.942393	+	0.334508i	$0.108570\pi$
$108$	0.540641	+	0.841254i	0.0520232	+	0.0809497i
$109$	3.73296	−	12.7133i	0.357552	−	1.21771i	−0.562791	−	0.826599i	$-0.690272\pi$
$109$	3.73296	−	12.7133i	0.357552	−	1.21771i	0.920343	−	0.391112i	$-0.127910\pi$
$110$	0.434540	+	0.376531i	0.0414318	+	0.0359009i
$111$	−3.70140	+	1.08683i	−0.351322	+	0.103157i
$112$	1.33761	−	2.28272i	0.126392	−	0.215697i
$113$	−15.1781	+	2.18228i	−1.42784	+	0.205292i	−0.812495	−	0.582969i	$-0.801891\pi$
$113$	−15.1781	+	2.18228i	−1.42784	+	0.205292i	−0.615342	+	0.788260i	$0.710982\pi$
$114$		−	1.06310i		−	0.0995686i
$115$	−1.76115	+	1.27219i	−0.164228	+	0.118632i
$116$	−8.84056			−0.820826
$117$	−4.20082	+	0.603987i	−0.388366	+	0.0558386i
$118$	−12.7703	−	5.83198i	−1.17560	−	0.536877i
$119$	1.44185	−	0.268271i	0.132174	−	0.0245924i
$120$	0.342366	+	0.296662i	0.0312536	+	0.0270814i
$121$	−9.00874	−	2.64520i	−0.818976	−	0.240473i
$122$	11.9422	−	7.67477i	1.08119	−	0.694841i
$123$	0.366247	+	0.801969i	0.0330234	+	0.0723111i
$124$	3.59267	−	3.11306i	0.322631	−	0.279561i
$125$	−3.73280	−	2.39892i	−0.333871	−	0.214566i
$126$	0.640311	−	2.56710i	0.0570434	−	0.228695i
$127$	−2.11766	+	14.7287i	−0.187912	+	1.30696i	0.649490	+	0.760370i	$0.274982\pi$
$127$	−2.11766	+	14.7287i	−0.187912	+	1.30696i	−0.837402	+	0.546587i	$0.815927\pi$
$128$	0.841254	+	0.540641i	0.0743570	+	0.0477863i
$129$	−3.74304	−	4.31970i	−0.329557	−	0.380329i
$130$	−1.74886	+	0.798680i	−0.153386	+	0.0700488i
$131$	11.5293	+	17.9399i	1.00732	+	1.56742i	0.809449	+	0.587191i	$0.199766\pi$
$131$	11.5293	+	17.9399i	1.00732	+	1.56742i	0.197870	+	0.980228i	$0.436598\pi$
$132$	1.21781	+	0.357583i	0.105997	+	0.0311236i
$133$	−2.04811	+	1.92783i	−0.177594	+	0.167164i
$134$	−2.30417	−	7.84730i	−0.199050	−	0.677903i
$135$	0.412077	+	0.188189i	0.0354660	+	0.0161968i
$136$	0.0788880	+	0.548678i	0.00676459	+	0.0470487i
$137$			2.02912i			0.173360i	0.996236	+	0.0866798i	$0.0276257\pi$
$137$			2.02912i			0.173360i	−0.996236	+	0.0866798i	$0.972374\pi$
$138$	−2.36970	+	4.16947i	−0.201723	+	0.354929i
$139$			12.0464i			1.02176i	0.859651	+	0.510881i	$0.170681\pi$
$139$			12.0464i			1.02176i	−0.859651	+	0.510881i	$0.829319\pi$
$140$	−0.0493160	−	1.19755i	−0.00416796	−	0.101212i
$141$	−3.62502	+	7.93769i	−0.305282	+	0.668475i
$142$	−5.01674	+	1.47305i	−0.420996	+	0.123615i
$143$	−3.52749	+	4.07094i	−0.294984	+	0.340429i
$144$	0.959493	+	0.281733i	0.0799577	+	0.0234777i
$145$	−3.36914	+	2.16522i	−0.279792	+	0.179812i
$146$	−8.12597	+	3.71101i	−0.672510	+	0.307125i
$147$	−6.10677	+	3.42160i	−0.503678	+	0.282209i
$148$	−2.08561	+	3.24528i	−0.171436	+	0.266760i
$149$	−19.7415	−	2.83840i	−1.61729	−	0.232531i	−0.726572	−	0.687091i	$-0.758887\pi$
$149$	−19.7415	−	2.83840i	−1.61729	−	0.232531i	−0.890716	+	0.454560i	$0.849797\pi$
$150$	−4.74597	−	0.682368i	−0.387507	−	0.0557151i
$151$	13.2148	+	8.49266i	1.07541	+	0.691123i	0.953492	−	0.301418i	$-0.0974598\pi$
$151$	13.2148	+	8.49266i	1.07541	+	0.691123i	0.121916	+	0.992540i	$0.461096\pi$
$152$	−0.696184	−	0.803439i	−0.0564680	−	0.0651675i
$153$	0.230273	+	0.504227i	0.0186165	+	0.0407644i
$154$	−1.51949	−	2.99461i	−0.122444	−	0.241313i
$155$	0.606721	−	2.06630i	0.0487330	−	0.165969i
$156$	−2.77924	+	3.20742i	−0.222518	+	0.256799i
$157$	8.47013	−	2.48706i	0.675990	−	0.198489i	0.0743215	−	0.997234i	$-0.476321\pi$
$157$	8.47013	−	2.48706i	0.675990	−	0.198489i	0.601669	+	0.798746i	$0.294503\pi$
$158$	8.80142	+	4.01947i	0.700203	+	0.319772i
$159$	0.553646	+	3.85070i	0.0439070	+	0.305380i
$160$	0.453015			0.0358140
$161$	12.3299	−	2.99560i	0.971732	−	0.236086i
$162$	1.00000			0.0785674
$163$	−2.44867	−	17.0309i	−0.191795	−	1.33396i	−0.827255	−	0.561827i	$-0.810099\pi$
$163$	−2.44867	−	17.0309i	−0.191795	−	1.33396i	0.635460	−	0.772134i	$-0.280811\pi$
$164$	0.801969	+	0.366247i	0.0626232	+	0.0285991i
$165$	0.551689	−	0.161990i	0.0429489	−	0.0126109i
$166$	9.54566	−	11.0163i	0.740887	−	0.855029i
$167$	1.56725	−	5.33757i	0.121278	−	0.413034i	−0.876366	−	0.481646i	$-0.840039\pi$
$167$	1.56725	−	5.33757i	0.121278	−	0.413034i	0.997643	+	0.0686125i	$0.0218572\pi$
$168$	−1.19718	−	2.35940i	−0.0923643	−	0.182032i
$169$	−2.08194	−	4.55882i	−0.160149	−	0.350678i
$170$	0.164446	+	0.189780i	0.0126124	+	0.0145555i
$171$	−0.894338	−	0.574756i	−0.0683918	−	0.0439527i
$172$	−5.65761	−	0.813441i	−0.431389	−	0.0620243i
$173$	−0.710275	−	0.102122i	−0.0540012	−	0.00776420i	0.115261	−	0.993335i	$-0.463229\pi$
$173$	−0.710275	−	0.102122i	−0.0540012	−	0.00776420i	−0.169262	+	0.985571i	$0.554139\pi$
$174$	−4.77957	+	7.43715i	−0.362338	+	0.563809i
$175$	7.29175	+	10.3807i	0.551205	+	0.784709i
$176$	1.15453	−	0.527256i	0.0870259	−	0.0397434i
$177$	−11.8103	+	7.59001i	−0.887716	+	0.570500i
$178$	−6.17859	−	1.81420i	−0.463105	−	0.135980i
$179$	−14.6945	+	16.9584i	−1.09832	+	1.26753i	−0.137454	+	0.990508i	$0.543892\pi$
$179$	−14.6945	+	16.9584i	−1.09832	+	1.26753i	−0.960865	+	0.277019i	$0.910654\pi$
$180$	0.434665	−	0.127629i	0.0323980	−	0.00951292i
$181$	−4.50792	+	9.87096i	−0.335071	+	0.733703i	−0.999912	−	0.0132821i	$-0.995772\pi$
$181$	−4.50792	+	9.87096i	−0.335071	+	0.733703i	0.664841	+	0.746985i	$0.268499\pi$
$182$	11.2191	−	0.462011i	0.831616	−	0.0342465i
$183$		−	14.1957i		−	1.04938i
$184$	0.939521	+	4.70290i	0.0692624	+	0.346703i
$185$			1.74758i			0.128485i
$186$	−0.676533	−	4.70539i	−0.0496058	−	0.345016i
$187$	0.639979	+	0.292269i	0.0467999	+	0.0213728i
$188$	2.45847	+	8.37280i	0.179303	+	0.610649i
$189$	−1.81340	−	1.92654i	−0.131906	−	0.140135i
$190$	−0.462093	−	0.135683i	−0.0335238	−	0.00984347i
$191$	5.74041	+	8.93225i	0.415361	+	0.646315i	0.984390	−	0.176003i	$-0.0563169\pi$
$191$	5.74041	+	8.93225i	0.415361	+	0.646315i	−0.569028	+	0.822318i	$0.692681\pi$
$192$	0.909632	−	0.415415i	0.0656470	−	0.0299800i
$193$	−7.31374	−	8.44051i	−0.526455	−	0.607561i	0.428780	−	0.903409i	$-0.358943\pi$
$193$	−7.31374	−	8.44051i	−0.526455	−	0.607561i	−0.955235	+	0.295848i	$0.904398\pi$
$194$	14.4567	+	9.29075i	1.03793	+	0.667037i
$195$	−0.273615	+	1.90304i	−0.0195940	+	0.136279i
$196$	−2.37452	+	6.58496i	−0.169608	+	0.470354i
$197$	20.6726	+	13.2855i	1.47286	+	0.946550i	0.997779	+	0.0666090i	$0.0212180\pi$
$197$	20.6726	+	13.2855i	1.47286	+	0.946550i	0.475082	+	0.879941i	$0.342418\pi$
$198$	0.959218	−	0.831167i	0.0681686	−	0.0590685i
$199$	−5.05198	−	11.0623i	−0.358125	−	0.784185i	−0.999851	−	0.0172509i	$-0.994509\pi$
$199$	−5.05198	−	11.0623i	−0.358125	−	0.784185i	0.641726	−	0.766934i	$-0.278219\pi$
$200$	−4.03362	+	2.59225i	−0.285220	+	0.183300i
$201$	−7.84730	−	2.30417i	−0.553506	−	0.162524i
$202$	−4.74677	−	4.11310i	−0.333981	−	0.289396i
$203$	22.9953	−	4.27852i	1.61395	−	0.300293i
$204$	0.504227	+	0.230273i	0.0353030	+	0.0161223i
$205$	0.395331	−	0.0568401i	0.0276111	−	0.00396988i
$206$	−1.01292			−0.0705737
$207$	2.22642	+	4.24771i	0.154747	+	0.295236i
$208$			4.24402i			0.294270i
$209$	−1.33558	+	0.192028i	−0.0923843	+	0.0132829i
$210$	−1.03411	−	0.605958i	−0.0713601	−	0.0418150i
$211$	−12.0211	+	3.52971i	−0.827565	+	0.242995i	−0.667971	−	0.744188i	$-0.732837\pi$
$211$	−12.0211	+	3.52971i	−0.827565	+	0.242995i	−0.159595	+	0.987183i	$0.551019\pi$
$212$	2.94009	+	2.54760i	0.201926	+	0.174970i
$213$	−1.47305	+	5.01674i	−0.100932	+	0.343742i
$214$	−8.03377	−	12.5008i	−0.549177	−	0.854536i
$215$	−2.35535	+	1.07565i	−0.160633	+	0.0733587i
$216$	0.755750	−	0.654861i	0.0514222	−	0.0445576i
$217$	−7.83831	+	9.83614i	−0.532099	+	0.667721i
$218$	−13.1151	−	1.88567i	−0.888269	−	0.127714i
$219$	−1.27133	+	8.84232i	−0.0859088	+	0.597509i
$220$	0.310857	−	0.483703i	0.0209580	−	0.0326113i
$221$	−1.77794	+	1.54059i	−0.119597	+	0.103631i
$222$	1.60253	+	3.50906i	0.107555	+	0.235512i
$223$	1.78563	+	2.77849i	0.119574	+	0.186061i	0.895881	−	0.444294i	$-0.146545\pi$
$223$	1.78563	+	2.77849i	0.119574	+	0.186061i	−0.776307	+	0.630356i	$0.782909\pi$
$224$	−2.44984	−	0.999130i	−0.163687	−	0.0667572i
$225$	−3.13991	+	3.62365i	−0.209327	+	0.241577i
$226$	4.32014	+	14.7130i	0.287371	+	0.978697i
$227$	6.15857	−	13.4854i	0.408758	−	0.895056i	−0.587548	−	0.809189i	$-0.699907\pi$
$227$	6.15857	−	13.4854i	0.408758	−	0.895056i	0.996307	−	0.0858670i	$-0.0273660\pi$
$228$	−1.05228	+	0.151295i	−0.0696890	+	0.0100198i
$229$	−19.5216			−1.29002			−0.645012	−	0.764173i	$-0.723147\pi$
$229$	−19.5216			−1.29002			−0.645012	+	0.764173i	$0.723147\pi$
$230$	1.50988	+	1.56217i	0.0995586	+	0.103007i
$231$	−3.34073	−	0.340733i	−0.219804	−	0.0224186i
$232$	1.25814	+	8.75058i	0.0826011	+	0.574504i
$233$	1.26005	−	2.75912i	0.0825486	−	0.180756i	−0.863857	−	0.503738i	$-0.831958\pi$
$233$	1.26005	−	2.75912i	0.0825486	−	0.180756i	0.946405	+	0.322981i	$0.104685\pi$
$234$	1.19568	+	4.07211i	0.0781640	+	0.266202i
$235$	2.98758	+	2.58875i	0.194888	+	0.168872i
$236$	−3.95522	+	13.4702i	−0.257463	+	0.876838i
$237$	8.13980	−	5.23113i	0.528737	−	0.339799i
$238$	−0.470737	−	1.38899i	−0.0305133	−	0.0900350i
$239$	4.76259	+	5.49632i	0.308066	+	0.355527i	0.888579	−	0.458724i	$-0.151693\pi$
$239$	4.76259	+	5.49632i	0.308066	+	0.355527i	−0.580513	+	0.814251i	$0.697148\pi$
$240$	0.244919	−	0.381101i	0.0158094	−	0.0245999i
$241$	0.855816	−	5.95233i	0.0551280	−	0.383423i	−0.943514	−	0.331332i	$-0.892502\pi$
$241$	0.855816	−	5.95233i	0.0551280	−	0.383423i	0.998642	−	0.0520917i	$-0.0165888\pi$
$242$	−1.33620	+	9.29350i	−0.0858944	+	0.597409i
$243$	0.540641	−	0.841254i	0.0346821	−	0.0539664i
$244$	−9.29620	−	10.7284i	−0.595128	−	0.686815i
$245$	0.707848	+	3.09110i	0.0452228	+	0.197483i
$246$	0.741683	−	0.476651i	0.0472880	−	0.0303902i
$247$	1.27113	−	4.32907i	0.0808800	−	0.275452i
$248$	−3.59267	−	3.11306i	−0.228134	−	0.197680i
$249$	−4.10671	−	13.9862i	−0.260252	−	0.886337i
$250$	−1.84327	+	4.03620i	−0.116579	+	0.255272i
$251$	1.78867	+	12.4405i	0.112900	+	0.785235i	0.965074	+	0.261977i	$0.0843745\pi$
$251$	1.78867	+	12.4405i	0.112900	+	0.785235i	−0.852174	+	0.523258i	$0.824716\pi$
$252$	−2.63210	−	0.268457i	−0.165806	−	0.0169112i
$253$	5.66618	+	2.22395i	0.356230	+	0.139818i
$254$	14.8801			0.933662
$255$	0.248559	−	0.0357375i	0.0155654	−	0.00223797i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	−4.47382	−	15.2364i	−0.279069	−	0.950422i	−0.973082	−	0.230460i	$-0.925977\pi$
$257$	−4.47382	−	15.2364i	−0.279069	−	0.950422i	0.694013	−	0.719963i	$-0.255841\pi$
$258$	−3.74304	+	4.31970i	−0.233032	+	0.268933i
$259$	3.85431	−	9.45068i	0.239495	−	0.587237i
$260$	1.03944	+	1.61740i	0.0644633	+	0.100307i
$261$	3.67250	+	8.04166i	0.227322	+	0.497766i
$262$	16.1165	−	13.9651i	0.995683	−	0.862764i
$263$	−10.8802	+	16.9299i	−0.670901	+	1.04394i	0.324286	+	0.945959i	$0.394876\pi$
$263$	−10.8802	+	16.9299i	−0.670901	+	1.04394i	−0.995188	+	0.0979842i	$0.968761\pi$
$264$	0.180630	−	1.25631i	0.0111170	−	0.0773204i
$265$	1.74442	+	0.250810i	0.107159	+	0.0154072i
$266$	2.19969	+	1.75291i	0.134871	+	0.107478i
$267$	−4.86660	+	4.21693i	−0.297831	+	0.258072i
$268$	−7.43950	+	3.39751i	−0.454440	+	0.207536i
$269$	−5.26357	−	8.19027i	−0.320925	−	0.499370i	0.642883	−	0.765964i	$-0.277738\pi$
$269$	−5.26357	−	8.19027i	−0.320925	−	0.499370i	−0.963809	+	0.266594i	$0.914102\pi$
$270$	0.127629	−	0.434665i	0.00776726	−	0.0264529i
$271$	−9.55148	−	8.27640i	−0.580211	−	0.502756i	0.314586	−	0.949229i	$-0.398134\pi$
$271$	−9.55148	−	8.27640i	−0.580211	−	0.502756i	−0.894797	+	0.446473i	$0.852680\pi$
$272$	0.531866	−	0.156170i	0.0322491	−	0.00946920i
$273$	5.67684	−	9.68790i	0.343578	−	0.586339i
$274$	2.00847	−	0.288774i	0.121336	−	0.0174455i
$275$			6.08566i			0.366979i
$276$	4.46428	+	1.75221i	0.268718	+	0.105470i
$277$	−3.42225			−0.205623			−0.102811	−	0.994701i	$-0.532784\pi$
$277$	−3.42225			−0.205623			−0.102811	+	0.994701i	$0.532784\pi$
$278$	11.9238	−	1.71438i	0.715141	−	0.102822i
$279$	−4.32419	−	1.97479i	−0.258882	−	0.118228i
$280$	−1.17834	+	0.219243i	−0.0704195	+	0.0131023i
$281$	−15.5389	−	13.4646i	−0.926975	−	0.803228i	0.0537637	−	0.998554i	$-0.482878\pi$
$281$	−15.5389	−	13.4646i	−0.926975	−	0.803228i	−0.980738	+	0.195325i	$0.937424\pi$
$282$	8.37280	+	2.45847i	0.498593	+	0.146400i
$283$	2.66602	−	1.71335i	0.158478	−	0.101848i	−0.458998	−	0.888437i	$-0.651791\pi$
$283$	2.66602	−	1.71335i	0.158478	−	0.101848i	0.617476	+	0.786589i	$0.288155\pi$
$284$	2.17201	+	4.75604i	0.128885	+	0.282219i
$285$	−0.363970	+	0.315382i	−0.0215597	+	0.0186816i
$286$	4.53152	+	2.91223i	0.267954	+	0.172204i
$287$	−2.26326	−	0.564524i	−0.133596	−	0.0333228i
$288$	0.142315	−	0.989821i	0.00838598	−	0.0583258i
$289$	−14.0428	−	9.02477i	−0.826048	−	0.530869i
$290$	2.62266	+	3.02671i	0.154008	+	0.177734i
$291$	15.6317	−	7.13878i	0.916349	−	0.418483i
$292$	4.82968	+	7.51513i	0.282636	+	0.439790i
$293$	9.05405	+	2.65851i	0.528943	+	0.155312i	0.535290	−	0.844668i	$-0.320202\pi$
$293$	9.05405	+	2.65851i	0.528943	+	0.155312i	−0.00634727	+	0.999980i	$0.502020\pi$
$294$	4.25586	+	5.55767i	0.248207	+	0.324130i
$295$	1.79178	+	6.10223i	0.104321	+	0.355285i
$296$	3.50906	+	1.60253i	0.203960	+	0.0931453i
$297$	−0.180630	−	1.25631i	−0.0104812	−	0.0728984i
$298$			19.9445i			1.15535i
$299$	−14.6350	+	14.1451i	−0.846366	+	0.818034i
$300$			4.79478i			0.276827i
$301$	15.1097	−	0.622230i	0.870911	−	0.0358647i
$302$	6.52555	−	14.2890i	0.375503	−	0.822237i
$303$	−6.02645	+	1.76953i	−0.346211	+	0.101657i
$304$	−0.696184	+	0.803439i	−0.0399289	+	0.0460804i
$305$	−6.17037	−	1.81178i	−0.353314	−	0.103742i
$306$	0.466324	−	0.299688i	0.0266579	−	0.0171320i
$307$	−0.252316	+	0.115229i	−0.0144004	+	0.00657646i	−0.422602	−	0.906315i	$-0.638883\pi$
$307$	−0.252316	+	0.115229i	−0.0144004	+	0.00657646i	0.408202	+	0.912892i	$0.366156\pi$
$308$	−2.74789	+	1.93020i	−0.156575	+	0.109984i
$309$	−0.547627	+	0.852125i	−0.0311534	+	0.0484757i
$310$	−2.13161	−	0.306480i	−0.121068	−	0.0174069i
$311$	−15.0812	−	2.16834i	−0.855174	−	0.122955i	−0.299236	−	0.954179i	$-0.596732\pi$
$311$	−15.0812	−	2.16834i	−0.855174	−	0.122955i	−0.555938	+	0.831224i	$0.687641\pi$
$312$	3.57030	+	2.29449i	0.202128	+	0.129900i
$313$	12.9617	+	14.9586i	0.732637	+	0.845509i	0.992766	−	0.120065i	$-0.0383104\pi$
$313$	12.9617	+	14.9586i	0.732637	+	0.845509i	−0.260129	+	0.965574i	$0.583765\pi$
$314$	−3.66717	−	8.02997i	−0.206950	−	0.453158i
$315$	−1.06884	+	0.542340i	−0.0602225	+	0.0305574i
$316$	2.72599	−	9.28386i	0.153349	−	0.522258i
$317$	1.72545	−	1.99127i	0.0969108	−	0.111841i	−0.705222	−	0.708986i	$-0.749153\pi$
$317$	1.72545	−	1.99127i	0.0969108	−	0.111841i	0.802133	+	0.597145i	$0.203698\pi$
$318$	3.73271	−	1.09602i	0.209320	−	0.0614619i
$319$	10.2067	+	4.66124i	0.571465	+	0.260979i
$320$	−0.0644708	−	0.448404i	−0.00360403	−	0.0250666i
$321$	−14.8597			−0.829388
$322$	−4.71983	−	11.7781i	−0.263026	−	0.656367i
$323$	−0.589299			−0.0327895
$324$	−0.142315	−	0.989821i	−0.00790638	−	0.0549901i
$325$	−18.5102	−	8.45334i	−1.02676	−	0.468907i
$326$	−16.5090	+	4.84749i	−0.914351	+	0.268478i
$327$	−8.67690	+	10.0137i	−0.479834	+	0.553758i
$328$	0.248387	−	0.845928i	0.0137149	−	0.0467086i
$329$	−10.4469	−	20.5888i	−0.575956	−	1.13509i
$330$	−0.238855	−	0.523020i	−0.0131485	−	0.0287913i
$331$	0.673466	+	0.777222i	0.0370171	+	0.0427200i	0.773956	−	0.633239i	$-0.218275\pi$
$331$	0.673466	+	0.777222i	0.0370171	+	0.0427200i	−0.736939	+	0.675959i	$0.763730\pi$
$332$	−12.2626	−	7.88072i	−0.673000	−	0.432511i
$333$	3.81840	+	0.549003i	0.209247	+	0.0300852i
$334$	−5.50629	−	0.791684i	−0.301291	−	0.0433190i
$335$	−2.00309	+	3.11687i	−0.109440	+	0.170293i
$336$	−2.16501	+	1.52077i	−0.118111	+	0.0829648i
$337$	0.646710	−	0.295343i	0.0352285	−	0.0160883i	−0.397723	−	0.917506i	$-0.630199\pi$
$337$	0.646710	−	0.295343i	0.0352285	−	0.0160883i	0.432951	+	0.901417i	$0.357472\pi$
$338$	−4.21612	+	2.70954i	−0.229327	+	0.147379i
$339$	14.7130	+	4.32014i	0.799103	+	0.234638i
$340$	0.164446	−	0.189780i	0.00891832	−	0.0102923i
$341$	−5.78922	+	1.69987i	−0.313504	+	0.0920530i
$342$	−0.441629	+	0.967032i	−0.0238805	+	0.0522911i
$343$	2.98950	−	18.2774i	0.161418	−	0.986886i
$344$			5.71579i			0.308175i
$345$	2.13049	−	0.425617i	0.114702	−	0.0229145i
$346$			0.717579i			0.0385773i
$347$	−2.45231	−	17.0562i	−0.131647	−	0.915625i	−0.943408	−	0.331635i	$-0.892400\pi$
$347$	−2.45231	−	17.0562i	−0.131647	−	0.915625i	0.811761	−	0.583990i	$-0.198509\pi$
$348$	8.04166	+	3.67250i	0.431078	+	0.196867i
$349$	6.12198	+	20.8495i	0.327702	+	1.11605i	0.944386	+	0.328840i	$0.106658\pi$
$349$	6.12198	+	20.8495i	0.327702	+	1.11605i	−0.616684	+	0.787211i	$0.711524\pi$
$350$	9.23734	−	8.69487i	0.493757	−	0.464760i
$351$	4.07211	+	1.19568i	0.217353	+	0.0638206i
$352$	−0.686196	−	1.06774i	−0.0365744	−	0.0569108i
$353$	2.77769	−	1.26853i	0.147841	−	0.0675169i	−0.340120	−	0.940382i	$-0.610468\pi$
$353$	2.77769	−	1.26853i	0.147841	−	0.0675169i	0.487962	+	0.872865i	$0.337741\pi$
$354$	9.19354	+	10.6099i	0.488631	+	0.563910i
$355$	1.99260	+	1.28057i	0.105756	+	0.0679653i
$356$	−0.916426	+	6.37389i	−0.0485705	+	0.337815i
$357$	−1.42299	−	0.354937i	−0.0753129	−	0.0187853i
$358$	18.8770	+	12.1315i	0.997680	+	0.641170i
$359$	17.3321	−	15.0184i	0.914754	−	0.792639i	−0.0639417	−	0.997954i	$-0.520367\pi$
$359$	17.3321	−	15.0184i	0.914754	−	0.792639i	0.978696	+	0.205314i	$0.0658217\pi$
$360$	−0.188189	−	0.412077i	−0.00991845	−	0.0217184i
$361$	−15.0330	+	9.66115i	−0.791213	+	0.508482i
$362$	10.4120	+	3.05725i	0.547244	+	0.160685i
$363$	7.09578	+	6.14853i	0.372432	+	0.322714i
$364$	−2.05395	−	11.0392i	−0.107656	−	0.578610i
$365$	3.68119	+	1.68114i	0.192682	+	0.0879950i
$366$	−14.0512	+	2.02026i	−0.734468	+	0.105601i
$367$	17.1739			0.896469			0.448235	−	0.893916i	$-0.352053\pi$
$367$	17.1739			0.896469			0.448235	+	0.893916i	$0.352053\pi$
$368$	4.52133	−	1.59925i	0.235690	−	0.0833667i
$369$		−	0.881641i		−	0.0458964i
$370$	1.72979	−	0.248707i	0.0899277	−	0.0129297i
$371$	−8.88044	−	5.20369i	−0.461050	−	0.270162i
$372$	−4.56122	+	1.33929i	−0.236488	+	0.0694392i
$373$	−10.1929	−	8.83219i	−0.527768	−	0.457314i	0.349760	−	0.936839i	$-0.386263\pi$
$373$	−10.1929	−	8.83219i	−0.527768	−	0.457314i	−0.877528	+	0.479526i	$0.840809\pi$
$374$	0.198215	−	0.675059i	0.0102495	−	0.0349065i
$375$	2.39892	+	3.73280i	0.123880	+	0.192761i
$376$	7.93769	−	3.62502i	0.409355	−	0.186946i
$377$	−28.3554	+	24.5701i	−1.46038	+	1.26542i
$378$	−1.64886	+	2.06912i	−0.0848082	+	0.106424i
$379$	−8.33313	−	1.19812i	−0.428044	−	0.0615434i	−0.0750737	−	0.997178i	$-0.523919\pi$
$379$	−8.33313	−	1.19812i	−0.428044	−	0.0615434i	−0.352970	+	0.935635i	$0.614828\pi$
$380$	−0.0685390	+	0.476700i	−0.00351598	+	0.0244542i
$381$	8.04480	−	12.5180i	0.412148	−	0.641314i
$382$	8.02438	−	6.95317i	0.410563	−	0.355755i
$383$	−4.88632	−	10.6995i	−0.249679	−	0.546721i	0.742746	−	0.669573i	$-0.233523\pi$
$383$	−4.88632	−	10.6995i	−0.249679	−	0.546721i	−0.992425	+	0.122852i	$0.960796\pi$
$384$	−0.540641	−	0.841254i	−0.0275895	−	0.0429300i
$385$	−0.574479	+	1.40861i	−0.0292782	+	0.0717894i
$386$	−7.31374	+	8.44051i	−0.372260	+	0.429611i
$387$	1.61032	+	5.48426i	0.0818573	+	0.278780i
$388$	7.13878	−	15.6317i	0.362417	−	0.793582i
$389$	−24.1657	+	3.47450i	−1.22525	+	0.176164i	−0.724406	−	0.689374i	$-0.757886\pi$
$389$	−24.1657	+	3.47450i	−1.22525	+	0.176164i	−0.500843	+	0.865538i	$0.666977\pi$
$390$	1.92261			0.0973550
$391$	2.31122	+	1.31357i	0.116884	+	0.0664303i
$392$	6.85586	+	1.41321i	0.346273	+	0.0713779i
$393$	−3.03490	−	21.1082i	−0.153090	−	1.06477i
$394$	10.2082	−	22.3529i	0.514283	−	1.12612i
$395$	−1.23491	−	4.20573i	−0.0621353	−	0.211613i
$396$	−0.959218	−	0.831167i	−0.0482025	−	0.0417677i
$397$	0.506566	−	1.72521i	0.0254238	−	0.0865856i	−0.945804	−	0.324738i	$-0.894724\pi$
$397$	0.506566	−	1.72521i	0.0254238	−	0.0865856i	0.971228	+	0.238153i	$0.0765419\pi$
$398$	−10.2307	+	6.57488i	−0.512820	+	0.329569i
$399$	2.66388	−	0.902802i	0.133361	−	0.0451966i
$400$	3.13991	+	3.62365i	0.156996	+	0.181183i
$401$	−4.44905	+	6.92286i	−0.222175	+	0.345711i	−0.934391	−	0.356249i	$-0.884055\pi$
$401$	−4.44905	+	6.92286i	−0.222175	+	0.345711i	0.712216	+	0.701960i	$0.247692\pi$
$402$	−1.16393	+	8.09534i	−0.0580518	+	0.403759i
$403$	2.87122	−	19.9698i	0.143026	−	0.994765i
$404$	−3.39570	+	5.28381i	−0.168942	+	0.262879i
$405$	−0.296662	−	0.342366i	−0.0147412	−	0.0170123i
$406$	−7.50754	−	22.1523i	−0.372593	−	1.09940i
$407$	4.11899	−	2.64712i	0.204171	−	0.131213i
$408$	0.156170	−	0.531866i	0.00773157	−	0.0263313i
$409$	25.2968	+	21.9198i	1.25084	+	1.08386i	0.993054	+	0.117662i	$0.0375399\pi$
$409$	25.2968	+	21.9198i	1.25084	+	1.08386i	0.257790	+	0.966201i	$0.417006\pi$
$410$	−0.112523	−	0.383218i	−0.00555712	−	0.0189258i
$411$	0.842927	−	1.84575i	0.0415785	−	0.0910443i
$412$	0.144154	+	1.00261i	0.00710196	+	0.0493952i
$413$	3.76885	−	36.9518i	0.185453	−	1.81828i
$414$	3.88762	−	2.80827i	0.191066	−	0.138019i
$415$	−6.60343			−0.324150
$416$	4.20082	−	0.603987i	0.205962	−	0.0296129i
$417$	5.00426	−	10.9578i	0.245060	−	0.536605i
$418$	0.380147	+	1.29466i	0.0185936	+	0.0633240i
$419$	6.57181	−	7.58428i	0.321054	−	0.370516i	−0.572164	−	0.820139i	$-0.693896\pi$
$419$	6.57181	−	7.58428i	0.321054	−	0.370516i	0.893219	+	0.449623i	$0.148442\pi$
$420$	−0.452621	+	1.10982i	−0.0220857	+	0.0541535i
$421$	−17.8263	−	27.7383i	−0.868801	−	1.35188i	−0.935212	−	0.354089i	$-0.884791\pi$
$421$	−17.8263	−	27.7383i	−0.868801	−	1.35188i	0.0664103	−	0.997792i	$-0.478845\pi$
$422$	5.20456	+	11.3964i	0.253354	+	0.554768i
$423$	6.59488	−	5.71449i	0.320654	−	0.277848i
$424$	2.10325	−	3.27272i	0.102143	−	0.158937i
$425$	−0.378250	+	2.63079i	−0.0183478	+	0.127612i
$426$	5.17532	+	0.744098i	0.250745	+	0.0360517i
$427$	29.3726	+	23.4067i	1.42144	+	1.13273i
$428$	−11.2302	+	9.73104i	−0.542833	+	0.470368i
$429$	4.89985	−	2.23769i	0.236567	−	0.108036i
$430$	1.39990	+	2.17829i	0.0675093	+	0.105046i
$431$	1.86565	−	6.35384i	0.0898654	−	0.306054i	−0.902279	−	0.431153i	$-0.858107\pi$
$431$	1.86565	−	6.35384i	0.0898654	−	0.306054i	0.992144	+	0.125100i	$0.0399250\pi$
$432$	−0.755750	−	0.654861i	−0.0363610	−	0.0315070i
$433$	14.9964	−	4.40333i	0.720680	−	0.211611i	0.0992297	−	0.995065i	$-0.468362\pi$
$433$	14.9964	−	4.40333i	0.720680	−	0.211611i	0.621450	+	0.783454i	$0.286544\pi$
$434$	10.8515	+	6.35870i	0.520890	+	0.305227i
$435$	3.96415	−	0.569958i	0.190066	−	0.0273274i
$436$			13.2500i			0.634560i
$437$	−5.09092	+	0.277113i	−0.243532	+	0.0132561i
$438$	8.93325			0.426847
$439$	−19.8719	+	2.85715i	−0.948434	+	0.136364i	−0.599136	−	0.800647i	$-0.704489\pi$
$439$	−19.8719	+	2.85715i	−0.948434	+	0.136364i	−0.349298	+	0.937012i	$0.613580\pi$
$440$	−0.523020	−	0.238855i	−0.0249340	−	0.0113870i
$441$	6.97630	−	0.575554i	0.332205	−	0.0274073i
$442$	1.77794	+	1.54059i	0.0845678	+	0.0732784i
$443$	22.5687	+	6.62677i	1.07227	+	0.314848i	0.769783	−	0.638305i	$-0.220364\pi$
$443$	22.5687	+	6.62677i	1.07227	+	0.314848i	0.302489	+	0.953153i	$0.402182\pi$
$444$	3.24528	−	2.08561i	0.154014	−	0.0989788i
$445$	1.21183	+	2.65354i	0.0574464	+	0.125790i
$446$	2.49609	−	2.16287i	0.118193	−	0.102415i
$447$	16.7784	+	10.7828i	0.793591	+	0.510010i
$448$	−0.640311	+	2.56710i	−0.0302519	+	0.121284i
$449$	2.35522	−	16.3809i	0.111150	−	0.773064i	−0.855655	−	0.517547i	$-0.826845\pi$
$449$	2.35522	−	16.3809i	0.111150	−	0.773064i	0.966805	−	0.255517i	$-0.0822456\pi$
$450$	4.03362	+	2.59225i	0.190147	+	0.122200i
$451$	−0.732791	−	0.845685i	−0.0345058	−	0.0398218i
$452$	13.9485	−	6.37005i	0.656081	−	0.299622i
$453$	−8.49266	−	13.2148i	−0.399020	−	0.620887i
$454$	−14.2246	−	4.17671i	−0.667592	−	0.196023i
$455$	−3.48646	−	3.70398i	−0.163448	−	0.173645i
$456$	0.299510	+	1.02004i	0.0140259	+	0.0477677i
$457$	9.86563	+	4.50548i	0.461494	+	0.210757i	0.632574	−	0.774500i	$-0.281998\pi$
$457$	9.86563	+	4.50548i	0.461494	+	0.210757i	−0.171080	+	0.985257i	$0.554726\pi$
$458$	2.77821	+	19.3229i	0.129817	+	0.902899i
$459$		−	0.554320i		−	0.0258734i
$460$	1.33139	−	1.71683i	0.0620766	−	0.0800477i
$461$			6.04515i			0.281551i	0.990042	+	0.140775i	$0.0449595\pi$
$461$			6.04515i			0.281551i	−0.990042	+	0.140775i	$0.955040\pi$
$462$	0.138170	+	3.35522i	0.00642826	+	0.156099i
$463$	14.4679	−	31.6804i	0.672382	−	1.47231i	−0.198136	−	0.980175i	$-0.563489\pi$
$463$	14.4679	−	31.6804i	0.672382	−	1.47231i	0.870518	−	0.492137i	$-0.163784\pi$
$464$	8.48246	−	2.49067i	0.393788	−	0.115627i
$465$	−1.41026	+	1.62753i	−0.0653995	+	0.0754750i
$466$	−2.91036	−	0.854560i	−0.134820	−	0.0395867i
$467$	−13.8190	+	8.88090i	−0.639465	+	0.410959i	−0.819803	−	0.572645i	$-0.805917\pi$
$467$	−13.8190	+	8.88090i	−0.639465	+	0.410959i	0.180338	+	0.983605i	$0.442281\pi$
$468$	3.86050	−	1.76303i	0.178452	−	0.0814961i
$469$	17.7067	−	12.4377i	0.817620	−	0.574322i
$470$	2.13723	−	3.32559i	0.0985829	−	0.153398i
$471$	−8.73786	−	1.25632i	−0.402620	−	0.0578880i
$472$	13.8960	+	1.99795i	0.639616	+	0.0919629i
$473$	6.10298	+	3.92215i	0.280615	+	0.180341i
$474$	−6.33630	−	7.31248i	−0.291036	−	0.335873i
$475$	−2.11751	−	4.63670i	−0.0971580	−	0.212746i
$476$	−1.30786	+	0.663620i	−0.0599458	+	0.0304170i
$477$	1.09602	−	3.73271i	0.0501834	−	0.170909i
$478$	4.76259	−	5.49632i	0.217836	−	0.251396i
$479$	−24.9489	+	7.32564i	−1.13994	+	0.334717i	−0.796608	−	0.604496i	$-0.793374\pi$
$479$	−24.9489	+	7.32564i	−1.13994	+	0.334717i	−0.343334	+	0.939213i	$0.611556\pi$
$480$	−0.412077	−	0.188189i	−0.0188087	−	0.00858963i
$481$	2.32998	+	16.2054i	0.106238	+	0.738901i
$482$	−6.01354			−0.273909
$483$	−12.4601	−	2.39713i	−0.566954	−	0.109073i
$484$	9.38906			0.426776
$485$	−1.10791	−	7.70569i	−0.0503077	−	0.349897i
$486$	−0.909632	−	0.415415i	−0.0412617	−	0.0188436i
$487$	19.0013	−	5.57930i	0.861033	−	0.252822i	0.178736	−	0.983897i	$-0.442799\pi$
$487$	19.0013	−	5.57930i	0.861033	−	0.252822i	0.682297	+	0.731075i	$0.260981\pi$
$488$	−9.29620	+	10.7284i	−0.420819	+	0.485651i
$489$	−4.84749	+	16.5090i	−0.219211	+	0.746565i
$490$	2.95890	−	1.14055i	0.133669	−	0.0515249i
$491$	−0.503548	−	1.10262i	−0.0227248	−	0.0497604i	0.897929	−	0.440140i	$-0.145071\pi$
$491$	−0.503548	−	1.10262i	−0.0227248	−	0.0497604i	−0.920654	+	0.390379i	$0.872344\pi$
$492$	−0.577352	−	0.666300i	−0.0260290	−	0.0300391i
$493$	4.12256	+	2.64941i	0.185671	+	0.119323i
$494$	−4.46590	−	0.642100i	−0.200931	−	0.0288894i
$495$	−0.569127	−	0.0818281i	−0.0255804	−	0.00367790i
$496$	−2.57009	+	3.99913i	−0.115400	+	0.179566i
$497$	−7.95140	−	11.3198i	−0.356669	−	0.507763i
$498$	−13.2594	+	6.05535i	−0.594166	+	0.271347i
$499$	−19.6650	+	12.6379i	−0.880327	+	0.565752i	−0.900895	−	0.434037i	$-0.857089\pi$
$499$	−19.6650	+	12.6379i	−0.880327	+	0.565752i	0.0205681	+	0.999788i	$0.493453\pi$
$500$	4.25745	+	1.25010i	0.190399	+	0.0559061i
$501$	−3.64293	+	4.20417i	−0.162754	+	0.187828i
$502$	12.0593	−	3.54093i	0.538232	−	0.158039i
$503$	0.620290	−	1.35824i	0.0276573	−	0.0605611i	−0.895299	−	0.445465i	$-0.853038\pi$
$503$	0.620290	−	1.35824i	0.0276573	−	0.0605611i	0.922957	+	0.384904i	$0.125766\pi$
$504$	0.108862	+	2.64351i	0.00484908	+	0.117751i
$505$			2.84533i			0.126616i
$506$	1.39493	−	5.92501i	0.0620122	−	0.263399i
$507$			5.01171i			0.222578i
$508$	−2.11766	−	14.7287i	−0.0939560	−	0.653479i
$509$	−13.7559	−	6.28209i	−0.609717	−	0.278449i	0.0865314	−	0.996249i	$-0.472422\pi$
$509$	−13.7559	−	6.28209i	−0.609717	−	0.278449i	−0.696249	+	0.717801i	$0.745149\pi$
$510$	−0.0707474	−	0.240944i	−0.00313275	−	0.0106692i
$511$	−16.1996	−	17.2103i	−0.716628	−	0.761339i
$512$	−0.959493	−	0.281733i	−0.0424040	−	0.0124509i
$513$	0.574756	+	0.894338i	0.0253761	+	0.0394860i
$514$	−14.4447	+	6.59665i	−0.637126	+	0.290966i
$515$	0.300496	+	0.346790i	0.0132414	+	0.0152814i
$516$	4.80842	+	3.09019i	0.211679	+	0.136038i
$517$	1.57623	−	10.9629i	0.0693223	−	0.482147i
$518$	−9.90301	−	2.47011i	−0.435113	−	0.108530i
$519$	0.603666	+	0.387952i	0.0264980	+	0.0170292i
$520$	1.45301	−	1.25904i	0.0637187	−	0.0552125i
$521$	−6.26485	−	13.7181i	−0.274468	−	0.601001i	0.721329	−	0.692593i	$-0.243532\pi$
$521$	−6.26485	−	13.7181i	−0.274468	−	0.601001i	−0.995797	+	0.0915917i	$0.970805\pi$
$522$	7.43715	−	4.77957i	0.325515	−	0.209196i
$523$	−32.5362	−	9.55348i	−1.42271	−	0.417744i	−0.522288	−	0.852769i	$-0.674921\pi$
$523$	−32.5362	−	9.55348i	−1.42271	−	0.417744i	−0.900419	+	0.435025i	$0.856740\pi$
$524$	−16.1165	−	13.9651i	−0.704054	−	0.610066i
$525$	−2.32050	−	12.4717i	−0.101275	−	0.544312i
$526$	18.3060	+	8.36007i	0.798180	+	0.364516i
$527$	−2.60829	+	0.375016i	−0.113619	+	0.0163359i
$528$	−1.26923			−0.0552360
$529$	20.5842	+	10.2611i	0.894966	+	0.446134i
$530$		−	1.76236i		−	0.0765521i
$531$	13.8960	−	1.99795i	0.603036	−	0.0867035i
$532$	1.42202	−	2.42676i	0.0616522	−	0.105213i
$533$	3.59014	−	1.05416i	0.155506	−	0.0456607i
$534$	4.86660	+	4.21693i	0.210598	+	0.182484i
$535$	−1.89653	+	6.45900i	−0.0819943	+	0.279247i
$536$	4.42168	+	6.88027i	0.190987	+	0.297182i
$537$	20.4113	−	9.32155i	0.880814	−	0.402254i
$538$	−7.35782	+	6.37559i	−0.317218	+	0.274871i
$539$	6.21341	−	6.35055i	0.267630	−	0.273538i
$540$	−0.448404	−	0.0644708i	−0.0192962	−	0.00277438i
$541$	−0.586210	+	4.07718i	−0.0252032	+	0.175292i	−0.998535	−	0.0541099i	$-0.982768\pi$
$541$	−0.586210	+	4.07718i	−0.0252032	+	0.175292i	0.973332	+	0.229402i	$0.0736769\pi$
$542$	−6.83284	+	10.6321i	−0.293496	+	0.456688i
$543$	8.20109	−	7.10629i	0.351943	−	0.304960i
$544$	−0.230273	−	0.504227i	−0.00987287	−	0.0216186i
$545$	3.24517	+	5.04958i	0.139008	+	0.216300i
$546$	−10.3972	−	4.24033i	−0.444959	−	0.181469i
$547$	19.3512	−	22.3325i	0.827399	−	0.954869i	−0.172145	−	0.985072i	$-0.555070\pi$
$547$	19.3512	−	22.3325i	0.827399	−	0.954869i	0.999544	+	0.0302026i	$0.00961526\pi$
$548$	−0.571670	−	1.94693i	−0.0244205	−	0.0831686i
$549$	−5.89710	+	12.9129i	−0.251682	+	0.551107i
$550$	6.02372	−	0.866080i	0.256852	−	0.0369298i
$551$	−9.39842			−0.400386
$552$	1.09904	−	4.66820i	0.0467782	−	0.198692i
$553$	−2.59754	+	25.4676i	−0.110459	+	1.08299i
$554$	0.487037	+	3.38742i	0.0206922	+	0.143917i
$555$	0.725972	−	1.58966i	0.0308158	−	0.0674772i
$556$	−3.39386	−	11.5584i	−0.143932	−	0.490187i
$557$	13.3158	+	11.5382i	0.564207	+	0.488888i	0.889631	−	0.456680i	$-0.150962\pi$
$557$	13.3158	+	11.5382i	0.564207	+	0.488888i	−0.325424	+	0.945568i	$0.605507\pi$
$558$	−1.33929	+	4.56122i	−0.0566968	+	0.193092i
$559$	−20.4071	+	13.1148i	−0.863127	+	0.554698i
$560$	0.384707	+	1.13515i	0.0162569	+	0.0479687i
$561$	−0.460733	−	0.531714i	−0.0194521	−	0.0224490i
$562$	−11.1161	+	17.2970i	−0.468904	+	0.729629i
$563$	0.755485	−	5.25451i	0.0318399	−	0.221451i	−0.967689	−	0.252147i	$-0.918863\pi$
$563$	0.755485	−	5.25451i	0.0318399	−	0.221451i	0.999529	+	0.0306960i	$0.00977236\pi$
$564$	1.24188	−	8.63745i	0.0522925	−	0.363702i
$565$	3.75563	−	5.84387i	0.158000	−	0.245853i
$566$	−2.07532	−	2.39505i	−0.0872322	−	0.100671i
$567$	0.849215	+	2.50576i	0.0356637	+	0.105232i
$568$	4.39852	−	2.82676i	0.184558	−	0.118608i
$569$	6.25165	−	21.2912i	0.262083	−	0.892572i	−0.718344	−	0.695688i	$-0.755100\pi$
$569$	6.25165	−	21.2912i	0.262083	−	0.892572i	0.980427	−	0.196884i	$-0.0630823\pi$
$570$	0.363970	+	0.315382i	0.0152450	+	0.0132099i
$571$	−9.33889	−	31.8053i	−0.390820	−	1.33101i	−0.886589	−	0.462557i	$-0.846932\pi$
$571$	−9.33889	−	31.8053i	−0.390820	−	1.33101i	0.495769	−	0.868454i	$-0.334886\pi$
$572$	2.23769	−	4.89985i	0.0935623	−	0.204873i
$573$	−1.51107	−	10.5097i	−0.0631258	−	0.439049i
$574$	−0.236683	+	2.32056i	−0.00987895	+	0.0968584i
$575$	−2.03058	+	22.9051i	−0.0846809	+	0.955209i
$576$	−1.00000			−0.0416667
$577$	−13.9305	+	2.00291i	−0.579935	+	0.0833821i	−0.426039	−	0.904705i	$-0.640091\pi$
$577$	−13.9305	+	2.00291i	−0.579935	+	0.0833821i	−0.153897	+	0.988087i	$0.549182\pi$
$578$	−6.93441	+	15.1842i	−0.288433	+	0.631581i
$579$	3.14650	+	10.7160i	0.130764	+	0.445342i
$580$	2.62266	−	3.02671i	0.108900	−	0.125677i
$581$	35.7105	+	14.5639i	1.48152	+	0.604214i
$582$	−9.29075	−	14.4567i	−0.385114	−	0.599249i
$583$	−2.05118	−	4.49146i	−0.0849512	−	0.186017i
$584$	6.75130	−	5.85004i	0.279371	−	0.242076i
$585$	1.03944	−	1.61740i	0.0429755	−	0.0668712i
$586$	1.34292	−	9.34023i	0.0554756	−	0.385841i
$587$	−7.69186	−	1.10592i	−0.317477	−	0.0456463i	−0.0182658	−	0.999833i	$-0.505814\pi$
$587$	−7.69186	−	1.10592i	−0.317477	−	0.0456463i	−0.299211	+	0.954187i	$0.596724\pi$
$588$	4.89543	−	5.00348i	0.201884	−	0.206340i
$589$	3.81937	−	3.30950i	0.157374	−	0.136366i
$590$	5.78512	−	2.64198i	0.238170	−	0.108768i
$591$	−13.2855	−	20.6726i	−0.546491	−	0.850357i
$592$	1.08683	−	3.70140i	0.0446684	−	0.152127i
$593$	−8.25187	−	7.15029i	−0.338864	−	0.293627i	0.468760	−	0.883326i	$-0.344701\pi$
$593$	−8.25187	−	7.15029i	−0.338864	−	0.293627i	−0.807623	+	0.589699i	$0.799247\pi$
$594$	−1.21781	+	0.357583i	−0.0499675	+	0.0146718i
$595$	−0.335894	+	0.573226i	−0.0137703	+	0.0235000i
$596$	19.7415	−	2.83840i	0.808644	−	0.116265i
$597$			12.1613i			0.497728i
$598$	16.0839	+	12.4730i	0.657721	+	0.510060i
$599$	−2.23046			−0.0911343			−0.0455671	−	0.998961i	$-0.514509\pi$
$599$	−2.23046			−0.0911343			−0.0455671	+	0.998961i	$0.514509\pi$
$600$	4.74597	−	0.682368i	0.193754	−	0.0278576i
$601$	27.5089	+	12.5629i	1.12211	+	0.512451i	0.888039	−	0.459768i	$-0.152067\pi$
$601$	27.5089	+	12.5629i	1.12211	+	0.512451i	0.234073	+	0.972219i	$0.424795\pi$
$602$	−2.76624	−	14.8674i	−0.112743	−	0.605950i
$603$	6.18096	+	5.35584i	0.251708	+	0.218106i
$604$	−15.0722	−	4.42560i	−0.613279	−	0.180075i
$605$	3.57818	−	2.29956i	0.145474	−	0.0934902i
$606$	2.60917	+	5.71328i	0.105990	+	0.232086i
$607$	8.94337	−	7.74948i	0.363000	−	0.314542i	−0.454195	−	0.890902i	$-0.650073\pi$
$607$	8.94337	−	7.74948i	0.363000	−	0.314542i	0.817195	+	0.576361i	$0.195528\pi$
$608$	0.894338	+	0.574756i	0.0362702	+	0.0233094i
$609$	−22.6946	−	5.66071i	−0.919632	−	0.229384i
$610$	−0.915208	+	6.36541i	−0.0370557	+	0.257728i
$611$	31.1554	+	20.0223i	1.26041	+	0.810018i
$612$	−0.363002	−	0.418927i	−0.0146735	−	0.0169341i
$613$	34.7353	−	15.8631i	1.40295	−	0.640704i	0.437003	−	0.899460i	$-0.356040\pi$
$613$	34.7353	−	15.8631i	1.40295	−	0.640704i	0.965943	+	0.258756i	$0.0833126\pi$
$614$	0.149964	+	0.233349i	0.00605207	+	0.00941720i
$615$	−0.383218	−	0.112523i	−0.0154529	−	0.00453737i
$616$	2.30162	+	2.44522i	0.0927350	+	0.0985207i
$617$	−5.82770	−	19.8473i	−0.234615	−	0.799024i	−0.989670	−	0.143363i	$-0.954208\pi$
$617$	−5.82770	−	19.8473i	−0.234615	−	0.799024i	0.755056	−	0.655661i	$-0.227610\pi$
$618$	0.921387	+	0.420783i	0.0370636	+	0.0169264i
$619$	−5.84403	−	40.6461i	−0.234891	−	1.63371i	−0.676461	−	0.736478i	$-0.736487\pi$
$619$	−5.84403	−	40.6461i	−0.234891	−	1.63371i	0.441570	−	0.897227i	$-0.354422\pi$
$620$			2.15353i			0.0864880i
$621$	−0.260665	−	4.78874i	−0.0104601	−	0.192166i
$622$			15.2362i			0.610918i
$623$	−0.701007	−	17.0227i	−0.0280852	−	0.682000i
$624$	1.76303	−	3.86050i	0.0705777	−	0.154544i
$625$	−21.0741	+	6.18791i	−0.842963	+	0.247516i
$626$	12.9617	−	14.9586i	0.518053	−	0.597865i
$627$	1.29466	+	0.380147i	0.0517038	+	0.0151816i
$628$	−7.42635	+	4.77262i	−0.296344	+	0.190448i
$629$	1.94514	−	0.888316i	0.0775578	−	0.0354195i
$630$	0.688932	+	0.980782i	0.0274477	+	0.0390753i
$631$	−19.3273	+	30.0738i	−0.769407	+	1.19722i	0.206374	+	0.978473i	$0.433834\pi$
$631$	−19.3273	+	30.0738i	−0.769407	+	1.19722i	−0.975781	+	0.218748i	$0.929803\pi$
$632$	−9.57732	−	1.37701i	−0.380965	−	0.0547745i
$633$	12.4011	+	1.78300i	0.492898	+	0.0708680i
$634$	−2.21656	−	1.42450i	−0.0880309	−	0.0565740i
$635$	−4.41436	−	5.09445i	−0.175179	−	0.202167i
$636$	−1.61609	−	3.53873i	−0.0640820	−	0.140320i
$637$	10.6851	+	27.7201i	0.423360	+	1.09831i
$638$	3.16123	−	10.7662i	0.125154	−	0.426237i
$639$	3.42396	−	3.95146i	0.135450	−	0.156317i
$640$	−0.434665	+	0.127629i	−0.0171816	+	0.00504499i
$641$	−26.2645	−	11.9946i	−1.03739	−	0.473759i	−0.177434	−	0.984133i	$-0.556780\pi$
$641$	−26.2645	−	11.9946i	−1.03739	−	0.473759i	−0.859953	+	0.510374i	$0.829507\pi$
$642$	2.11476	+	14.7085i	0.0834628	+	0.580497i
$643$	26.0200			1.02613			0.513065	−	0.858350i	$-0.328510\pi$
$643$	26.0200			1.02613			0.513065	+	0.858350i	$0.328510\pi$
$644$	−10.9865	+	6.34799i	−0.432928	+	0.250146i
$645$	2.58934			0.101955
$646$	0.0838660	+	0.583301i	0.00329966	+	0.0229497i
$647$	36.1860	+	16.5256i	1.42262	+	0.649688i	0.970241	−	0.242139i	$-0.0778492\pi$
$647$	36.1860	+	16.5256i	1.42262	+	0.649688i	0.452376	+	0.891827i	$0.350576\pi$
$648$	−0.959493	+	0.281733i	−0.0376924	+	0.0110675i
$649$	11.6687	−	13.4664i	0.458036	−	0.528602i
$650$	−5.73301	+	19.5249i	−0.224867	+	0.765828i
$651$	11.2161	−	5.69112i	0.439592	−	0.223052i
$652$	7.14763	+	15.6511i	0.279923	+	0.612946i
$653$	9.07561	+	10.4738i	0.355156	+	0.409872i	0.905011	−	0.425388i	$-0.139862\pi$
$653$	9.07561	+	10.4738i	0.355156	+	0.409872i	−0.549855	+	0.835260i	$0.685317\pi$
$654$	11.1466	+	7.16349i	0.435867	+	0.280115i
$655$	−9.56233	−	1.37485i	−0.373631	−	0.0537200i
$656$	−0.872667	−	0.125471i	−0.0340719	−	0.00489880i
$657$	4.82968	−	7.51513i	0.188424	−	0.293193i
$658$	−18.8924	+	13.2707i	−0.736504	+	0.517344i
$659$	−0.993414	+	0.453677i	−0.0386979	+	0.0176727i	−0.434670	−	0.900590i	$-0.643135\pi$
$659$	−0.993414	+	0.453677i	−0.0386979	+	0.0176727i	0.395972	+	0.918263i	$0.370408\pi$
$660$	−0.483703	+	0.310857i	−0.0188281	+	0.0121001i
$661$	32.2923	+	9.48189i	1.25603	+	0.368803i	0.841014	−	0.541013i	$-0.181959\pi$
$661$	32.2923	+	9.48189i	1.25603	+	0.368803i	0.415012	+	0.909816i	$0.363777\pi$
$662$	0.673466	−	0.777222i	0.0261750	−	0.0302076i
$663$	2.25725	−	0.662789i	0.0876644	−	0.0257406i
$664$	−6.05535	+	13.2594i	−0.234993	+	0.514563i
$665$	−0.0524279	−	1.27312i	−0.00203307	−	0.0493694i
$666$		−	3.85767i		−	0.149482i
$667$	36.8605	+	20.9495i	1.42724	+	0.811169i
$668$			5.56291i			0.215235i
$669$	−0.470037	−	3.26918i	−0.0181727	−	0.126394i
$670$	3.37021	+	1.53912i	0.130203	+	0.0594615i
$671$	5.07613	+	17.2877i	0.195962	+	0.667385i
$672$	1.81340	+	1.92654i	0.0699536	+	0.0743180i
$673$	4.79489	+	1.40791i	0.184830	+	0.0542709i	0.372838	−	0.927897i	$-0.378385\pi$
$673$	4.79489	+	1.40791i	0.184830	+	0.0542709i	−0.188008	+	0.982168i	$0.560203\pi$
$674$	−0.384373	−	0.598096i	−0.0148055	−	0.0230378i
$675$	4.36148	−	1.99182i	0.167874	−	0.0766653i
$676$	3.28197	+	3.78760i	0.126230	+	0.145677i
$677$	−24.5257	−	15.7617i	−0.942597	−	0.605771i	−0.0234673	−	0.999725i	$-0.507471\pi$
$677$	−24.5257	−	15.7617i	−0.942597	−	0.605771i	−0.919130	+	0.393954i	$0.871107\pi$
$678$	2.18228	−	15.1781i	0.0838101	−	0.582912i
$679$	−11.0036	+	44.1148i	−0.422278	+	1.69297i
$680$	−0.211252	−	0.135763i	−0.00810114	−	0.00520628i
$681$	−11.2041	+	9.70837i	−0.429340	+	0.372026i
$682$	2.50646	+	5.48838i	0.0959772	+	0.210161i
$683$	−37.4094	+	24.0416i	−1.43143	+	0.919925i	−0.431590	+	0.902070i	$0.642047\pi$
$683$	−37.4094	+	24.0416i	−1.43143	+	0.919925i	−0.999841	+	0.0178550i	$0.994316\pi$
$684$	1.02004	+	0.299510i	0.0390022	+	0.0114521i
$685$	−0.694702	−	0.601963i	−0.0265432	−	0.0229998i
$686$	−18.5168	−	0.357925i	−0.706975	−	0.0136656i
$687$	17.7575	+	8.10956i	0.677490	+	0.309399i
$688$	5.65761	−	0.813441i	0.215694	−	0.0310122i
$689$	16.5105			0.628999
$690$	−0.724485	−	2.04823i	−0.0275807	−	0.0779748i
$691$		−	17.8319i		−	0.678356i	−0.940722	−	0.339178i	$-0.889851\pi$
$691$		−	17.8319i		−	0.678356i	0.940722	−	0.339178i	$-0.110149\pi$
$692$	0.710275	−	0.102122i	0.0270006	−	0.00388210i
$693$	2.89729	+	1.69773i	0.110059	+	0.0644914i
$694$	−16.5336	+	4.85470i	−0.627607	+	0.184282i
$695$	−4.12428	−	3.57371i	−0.156443	−	0.135559i
$696$	2.49067	−	8.48246i	0.0944088	−	0.321527i
$697$	−0.264217	−	0.411130i	−0.0100079	−	0.0155727i
$698$	19.7661	−	9.02687i	0.748157	−	0.341672i
$699$	−2.29236	+	1.98634i	−0.0867051	+	0.0751304i
$700$	−9.92098	−	7.90591i	−0.374978	−	0.298815i
$701$	−20.8441	−	2.99693i	−0.787270	−	0.113192i	−0.263058	−	0.964780i	$-0.584731\pi$
$701$	−20.8441	−	2.99693i	−0.787270	−	0.113192i	−0.524212	+	0.851588i	$0.675640\pi$
$702$	0.603987	−	4.20082i	0.0227960	−	0.158550i
$703$	−2.21722	+	3.45006i	−0.0836240	+	0.130121i
$704$	−0.959218	+	0.831167i	−0.0361519	+	0.0313258i
$705$	−1.64219	−	3.59590i	−0.0618485	−	0.135429i
$706$	−1.65092	−	2.56888i	−0.0621332	−	0.0966812i
$707$	6.27541	−	15.3872i	0.236011	−	0.578694i
$708$	9.19354	−	10.6099i	0.345514	−	0.398745i
$709$	−4.91958	−	16.7546i	−0.184759	−	0.629230i	−0.998825	−	0.0484587i	$-0.984569\pi$
$709$	−4.91958	−	16.7546i	−0.184759	−	0.629230i	0.814066	−	0.580772i	$-0.197249\pi$
$710$	0.983955	−	2.15456i	0.0369272	−	0.0808592i
$711$	−9.57732	+	1.37701i	−0.359177	+	0.0516419i
$712$	6.43943			0.241328
$713$	−22.3566	+	4.46627i	−0.837260	+	0.167263i
$714$	−0.148811	+	1.45902i	−0.00556912	+	0.0546026i
$715$	−0.347280	−	2.41539i	−0.0129875	−	0.0903303i
$716$	9.32155	−	20.4113i	0.348363	−	0.762808i
$717$	−2.04895	−	6.97808i	−0.0765194	−	0.260601i
$718$	−17.3321	−	15.0184i	−0.646829	−	0.560481i
$719$	0.120786	−	0.411360i	0.00450456	−	0.0153411i	−0.957210	−	0.289394i	$-0.906546\pi$
$719$	0.120786	−	0.411360i	0.00450456	−	0.0153411i	0.961715	+	0.274053i	$0.0883644\pi$
$720$	−0.381101	+	0.244919i	−0.0142028	+	0.00912758i
$721$	−0.860189	−	2.53814i	−0.0320351	−	0.0945253i
$722$	11.7022	+	13.5051i	0.435512	+	0.502608i
$723$	−3.25117	+	5.05891i	−0.120912	+	0.188143i
$724$	1.54434	−	10.7411i	0.0573951	−	0.399192i
$725$	−6.03252	+	41.9571i	−0.224042	+	1.55825i
$726$	5.07611	−	7.89858i	0.188392	−	0.293144i
$727$	24.8795	+	28.7125i	0.922729	+	1.06489i	0.997706	+	0.0677010i	$0.0215664\pi$
$727$	24.8795	+	28.7125i	0.922729	+	1.06489i	−0.0749764	+	0.997185i	$0.523888\pi$
$728$	−10.6345	+	3.60409i	−0.394141	+	0.133576i
$729$	−0.841254	+	0.540641i	−0.0311575	+	0.0200237i
$730$	1.14014	−	3.88297i	0.0421986	−	0.143715i
$731$	2.39450	+	2.07484i	0.0885637	+	0.0767409i
$732$	3.99939	+	13.6207i	0.147822	+	0.503434i
$733$	−16.3608	+	35.8251i	−0.604299	+	1.32323i	0.322107	+	0.946703i	$0.395609\pi$
$733$	−16.3608	+	35.8251i	−0.604299	+	1.32323i	−0.926406	+	0.376526i	$0.877118\pi$
$734$	−2.44410	−	16.9991i	−0.0902133	−	0.627447i
$735$	0.640206	−	3.10581i	0.0236144	−	0.114560i
$736$	−2.22642	−	4.24771i	−0.0820671	−	0.156573i
$737$	10.3805			0.382370
$738$	−0.872667	+	0.125471i	−0.0321233	+	0.00461863i
$739$	1.83604	−	4.02036i	0.0675398	−	0.147892i	−0.872852	−	0.487986i	$-0.837732\pi$
$739$	1.83604	−	4.02036i	0.0675398	−	0.147892i	0.940391	+	0.340094i	$0.110459\pi$
$740$	−0.492351	−	1.67679i	−0.0180992	−	0.0616401i
$741$	−2.95462	+	3.40981i	−0.108541	+	0.125263i
$742$	−3.88691	+	9.53061i	−0.142693	+	0.349880i
$743$	−4.13936	−	6.44097i	−0.151858	−	0.236296i	0.756987	−	0.653430i	$-0.226671\pi$
$743$	−4.13936	−	6.44097i	−0.151858	−	0.236296i	−0.908845	+	0.417134i	$0.863034\pi$
$744$	1.97479	+	4.32419i	0.0723993	+	0.158532i
$745$	6.82833	−	5.91678i	0.250171	−	0.216774i
$746$	−7.29170	+	11.3461i	−0.266968	+	0.415410i
$747$	−2.07447	+	14.4283i	−0.0759009	+	0.527902i
$748$	−0.696397	−	0.100127i	−0.0254628	−	0.00366100i
$749$	24.5016	−	30.7466i	0.895268	−	1.12345i
$750$	3.35340	−	2.90574i	0.122449	−	0.106103i
$751$	12.7150	−	5.80673i	0.463976	−	0.211891i	−0.169690	−	0.985497i	$-0.554277\pi$
$751$	12.7150	−	5.80673i	0.463976	−	0.211891i	0.633666	+	0.773607i	$0.281549\pi$
$752$	−4.71778	−	7.34101i	−0.172040	−	0.267699i
$753$	3.54093	−	12.0593i	0.129038	−	0.439465i
$754$	28.3554	+	24.5701i	1.03264	+	0.894789i
$755$	−6.82794	+	2.00486i	−0.248494	+	0.0729644i
$756$	2.28272	+	1.33761i	0.0830216	+	0.0486484i
$757$	11.1114	−	1.59757i	0.403849	−	0.0580647i	0.0626025	−	0.998039i	$-0.480060\pi$
$757$	11.1114	−	1.59757i	0.403849	−	0.0580647i	0.341247	+	0.939974i	$0.389151\pi$
$758$			8.41882i			0.305785i
$759$	−4.23028	−	4.37679i	−0.153549	−	0.158867i
$760$	0.481602			0.0174695
$761$	−21.9657	+	3.15819i	−0.796256	+	0.114484i	−0.528423	−	0.848981i	$-0.677217\pi$
$761$	−21.9657	+	3.15819i	−0.796256	+	0.114484i	−0.267833	+	0.963465i	$0.586307\pi$
$762$	−13.5354	−	6.18142i	−0.490337	−	0.223929i
$763$	−6.41253	−	34.4647i	−0.232149	−	1.24771i
$764$	−8.02438	−	6.95317i	−0.290312	−	0.251557i
$765$	−0.240944	−	0.0707474i	−0.00871133	−	0.00255788i
$766$	−9.89524	+	6.35928i	−0.357530	+	0.229770i
$767$	24.7510	+	54.1972i	0.893708	+	1.95695i
$768$	−0.755750	+	0.654861i	−0.0272708	+	0.0236303i
$769$	7.94531	+	5.10614i	0.286515	+	0.184132i	0.676002	−	0.736900i	$-0.263711\pi$
$769$	7.94531	+	5.10614i	0.286515	+	0.184132i	−0.389487	+	0.921032i	$0.627348\pi$
$770$	1.47603	+	0.368166i	0.0531924	+	0.0132678i
$771$	−2.25991	+	15.7180i	−0.0813888	+	0.566071i
$772$	9.39545	+	6.03809i	0.338150	+	0.217316i
$773$	0.472249	+	0.545005i	0.0169856	+	0.0196025i	0.764179	−	0.645004i	$-0.223144\pi$
$773$	0.472249	+	0.545005i	0.0169856	+	0.0196025i	−0.747193	+	0.664607i	$0.768599\pi$
$774$	5.19926	−	2.37442i	0.186884	−	0.0853469i
$775$	−12.3230	−	19.1749i	−0.442655	−	0.688784i
$776$	−16.4886	−	4.84149i	−0.591906	−	0.173799i
$777$	−7.43196	+	6.99551i	−0.266620	+	0.250962i
$778$	6.87827	+	23.4253i	0.246598	+	0.839836i
$779$	0.852574	+	0.389358i	0.0305466	+	0.0139502i
$780$	−0.273615	−	1.90304i	−0.00979700	−	0.0681397i
$781$		−	6.63620i		−	0.237462i
$782$	0.971283	−	2.47464i	0.0347330	−	0.0884929i
$783$		−	8.84056i		−	0.315936i
$784$	0.423135	−	6.98720i	0.0151120	−	0.249543i
$785$	−1.66128	+	3.63770i	−0.0592937	+	0.129835i
$786$	−20.4614	+	6.00801i	−0.729834	+	0.214299i
$787$	−13.0971	+	15.1148i	−0.466861	+	0.538786i	−0.939536	−	0.342451i	$-0.888743\pi$
$787$	−13.0971	+	15.1148i	−0.466861	+	0.538786i	0.472675	+	0.881237i	$0.343288\pi$
$788$	−23.5782	−	6.92317i	−0.839937	−	0.246628i
$789$	16.9299	−	10.8802i	0.602721	−	0.387345i
$790$	−3.98718	+	1.82088i	−0.141857	+	0.0647841i
$791$	−33.1986	+	23.3198i	−1.18041	+	0.829156i
$792$	−0.686196	+	1.06774i	−0.0243829	+	0.0379406i
$793$	−59.6336	−	8.57402i	−2.11765	−	0.304472i
$794$	−1.77974	−	0.255888i	−0.0631606	−	0.00908112i
$795$	−1.48259	−	0.952805i	−0.0525822	−	0.0337925i
$796$	7.96395	+	9.19088i	0.282275	+	0.325762i
$797$	1.04313	+	2.28414i	0.0369496	+	0.0809084i	0.927207	−	0.374550i	$-0.122203\pi$
$797$	1.04313	+	2.28414i	0.0369496	+	0.0809084i	−0.890257	+	0.455458i	$0.849475\pi$
$798$	−1.27272	−	2.50828i	−0.0450539	−	0.0887922i
$799$	1.36278	−	4.64121i	0.0482117	−	0.164194i
$800$	3.13991	−	3.62365i	0.111013	−	0.128115i
$801$	6.17859	−	1.81420i	0.218310	−	0.0641015i
$802$	7.48556	+	3.41854i	0.264324	+	0.120713i
$803$	−1.61361	−	11.2229i	−0.0569431	−	0.396048i
$804$	8.17859			0.288437
$805$	−2.63222	+	5.11002i	−0.0927736	+	0.180105i
$806$	−20.1751			−0.710639
$807$	1.38555	+	9.63670i	0.0487736	+	0.339228i
$808$	5.71328	+	2.60917i	0.200993	+	0.0917902i
$809$	−49.2801	+	14.4699i	−1.73259	+	0.508736i	−0.987418	−	0.158132i	$-0.949453\pi$
$809$	−49.2801	+	14.4699i	−1.73259	+	0.508736i	−0.745176	+	0.666867i	$0.767635\pi$
$810$	−0.296662	+	0.342366i	−0.0104236	+	0.0120295i
$811$	12.2025	−	41.5578i	0.428487	−	1.45929i	−0.408848	−	0.912602i	$-0.634069\pi$
$811$	12.2025	−	41.5578i	0.428487	−	1.45929i	0.837335	−	0.546690i	$-0.184112\pi$
$812$	−20.8584	+	10.5837i	−0.731987	+	0.371416i
$813$	5.25019	+	11.4963i	0.184132	+	0.403193i
$814$	−3.20637	−	3.70034i	−0.112383	−	0.129697i
$815$	6.55722	+	4.21407i	0.229689	+	0.147612i
$816$	−0.548678	−	0.0788880i	−0.0192076	−	0.00276163i
$817$	−6.01461	−	0.864771i	−0.210425	−	0.0302545i
$818$	18.0965	−	28.1588i	0.632731	−	0.984549i
$819$	−9.18834	+	6.45418i	−0.321067	+	0.225527i
$820$	−0.363304	+	0.165915i	−0.0126871	+	0.00579402i
$821$	−3.66119	+	2.35290i	−0.127776	+	0.0821169i	−0.602968	−	0.797766i	$-0.706015\pi$
$821$	−3.66119	+	2.35290i	−0.127776	+	0.0821169i	0.475191	+	0.879882i	$0.342379\pi$
$822$	−1.94693	−	0.571670i	−0.0679069	−	0.0199393i
$823$	−16.7330	+	19.3109i	−0.583275	+	0.673135i	−0.968305	−	0.249769i	$-0.919645\pi$
$823$	−16.7330	+	19.3109i	−0.583275	+	0.673135i	0.385031	+	0.922904i	$0.374191\pi$
$824$	0.971892	−	0.285373i	0.0338575	−	0.00994145i
$825$	2.52808	−	5.53571i	0.0880163	−	0.192729i
$826$	−37.1120	+	1.52830i	−1.29129	+	0.0531763i
$827$			19.4831i			0.677495i	0.940877	+	0.338747i	$0.110003\pi$
$827$			19.4831i			0.677495i	−0.940877	+	0.338747i	$0.889997\pi$
$828$	−3.33296	−	3.44839i	−0.115828	−	0.119840i
$829$			23.3810i			0.812055i	0.913861	+	0.406027i	$0.133086\pi$
$829$			23.3810i			0.812055i	−0.913861	+	0.406027i	$0.866914\pi$
$830$	0.939767	+	6.53622i	0.0326198	+	0.226876i
$831$	3.11299	+	1.42165i	0.107988	+	0.0493166i
$832$	−1.19568	−	4.07211i	−0.0414527	−	0.141175i
$833$	3.08073	−	2.35911i	0.106741	−	0.0817382i
$834$	−11.5584	−	3.39386i	−0.400236	−	0.117520i
$835$	1.36246	+	2.12003i	0.0471499	+	0.0733666i
$836$	1.22738	−	0.560527i	0.0424499	−	0.0193862i
$837$	3.11306	+	3.59267i	0.107603	+	0.124181i
$838$	−8.44235	−	5.42557i	−0.291636	−	0.187423i
$839$	2.52903	−	17.5898i	0.0873118	−	0.607267i	−0.898445	−	0.439087i	$-0.855302\pi$
$839$	2.52903	−	17.5898i	0.0873118	−	0.607267i	0.985756	−	0.168180i	$-0.0537889\pi$
$840$	1.16294	+	0.290071i	0.0401251	+	0.0100084i
$841$	41.3523	+	26.5755i	1.42594	+	0.916396i
$842$	−24.9190	+	21.5924i	−0.858766	+	0.744125i
$843$	8.54133	+	18.7029i	0.294179	+	0.644162i
$844$	10.5397	−	6.77346i	0.362792	−	0.233152i
$845$	2.17842	+	0.639641i	0.0749398	+	0.0220043i
$846$	−6.59488	−	5.71449i	−0.226736	−	0.196468i
$847$	−24.4220	+	4.54397i	−0.839150	+	0.156133i
$848$	−3.53873	−	1.61609i	−0.121521	−	0.0554966i
$849$	−3.13684	+	0.451010i	−0.107656	+	0.0154786i
$850$	2.65784			0.0911632
$851$	16.3862	−	8.58880i	0.561713	−	0.294420i
$852$		−	5.22853i		−	0.179127i
$853$	−53.2849	+	7.66122i	−1.82444	+	0.262315i	−0.967459	−	0.253030i	$-0.918573\pi$
$853$	−53.2849	+	7.66122i	−1.82444	+	0.262315i	−0.856983	+	0.515345i	$0.827664\pi$
$854$	18.9883	−	32.4048i	0.649766	−	1.10887i
$855$	0.462093	−	0.135683i	0.0158033	−	0.00464025i
$856$	11.2302	+	9.73104i	0.383841	+	0.332600i
$857$	−6.04889	+	20.6006i	−0.206626	+	0.703705i	0.789338	+	0.613958i	$0.210424\pi$
$857$	−6.04889	+	20.6006i	−0.206626	+	0.703705i	−0.995965	+	0.0897462i	$0.971394\pi$
$858$	−2.91223	−	4.53152i	−0.0994219	−	0.154704i
$859$	36.4351	−	16.6394i	1.24315	−	0.567728i	0.318275	−	0.947998i	$-0.396896\pi$
$859$	36.4351	−	16.6394i	1.24315	−	0.567728i	0.924875	+	0.380271i	$0.124169\pi$
$860$	1.95689	−	1.69566i	0.0667294	−	0.0578214i
$861$	1.82422	+	1.45370i	0.0621693	+	0.0495420i
$862$	−6.55467	−	0.942420i	−0.223253	−	0.0320990i
$863$	3.75287	−	26.1018i	0.127749	−	0.888515i	−0.820649	−	0.571433i	$-0.806388\pi$
$863$	3.75287	−	26.1018i	0.127749	−	0.888515i	0.948398	−	0.317082i	$-0.102703\pi$
$864$	−0.540641	+	0.841254i	−0.0183930	+	0.0286200i
$865$	0.245675	−	0.212878i	0.00835319	−	0.00723808i
$866$	−6.49272	−	14.2171i	−0.220632	−	0.483116i
$867$	9.02477	+	14.0428i	0.306497	+	0.476919i
$868$	4.74964	−	11.6460i	0.161213	−	0.395292i
$869$	−8.04221	+	9.28120i	−0.272813	+	0.314843i
$870$	−1.12831	−	3.84268i	−0.0382534	−	0.130279i
$871$	−14.4191	+	31.5734i	−0.488572	+	1.06982i
$872$	13.1151	−	1.88567i	0.444134	−	0.0638569i
$873$	−17.1847			−0.581614
$874$	0.998806	+	4.99967i	0.0337851	+	0.169116i
$875$	−11.6791	−	1.19119i	−0.394825	−	0.0402697i
$876$	−1.27133	−	8.84232i	−0.0429544	−	0.298754i
$877$	−3.84605	+	8.42168i	−0.129872	+	0.284380i	−0.963386	−	0.268118i	$-0.913598\pi$
$877$	−3.84605	+	8.42168i	−0.129872	+	0.284380i	0.833514	+	0.552498i	$0.186325\pi$
$878$	5.65613	+	19.2630i	0.190885	+	0.650095i
$879$	−7.13147	−	6.17945i	−0.240538	−	0.208428i
$880$	−0.161990	+	0.551689i	−0.00546070	+	0.0185974i
$881$	7.09441	−	4.55930i	0.239017	−	0.153607i	−0.415649	−	0.909525i	$-0.636446\pi$
$881$	7.09441	−	4.55930i	0.239017	−	0.153607i	0.654666	+	0.755918i	$0.272809\pi$
$882$	−1.56253	−	6.82338i	−0.0526130	−	0.229755i
$883$	−5.63124	−	6.49880i	−0.189506	−	0.218702i	0.653043	−	0.757320i	$-0.273492\pi$
$883$	−5.63124	−	6.49880i	−0.189506	−	0.218702i	−0.842550	+	0.538618i	$0.818946\pi$
$884$	1.27188	−	1.97909i	0.0427780	−	0.0665639i
$885$	0.905100	−	6.29511i	0.0304246	−	0.211608i
$886$	3.34746	−	23.2821i	0.112460	−	0.782177i
$887$	9.12412	−	14.1974i	0.306358	−	0.476702i	−0.653602	−	0.756838i	$-0.726743\pi$
$887$	9.12412	−	14.1974i	0.306358	−	0.476702i	0.959960	+	0.280136i	$0.0903795\pi$
$888$	−2.52623	−	2.91543i	−0.0847749	−	0.0978354i
$889$	12.6364	+	37.2860i	0.423812	+	1.25053i
$890$	2.45407	−	1.57714i	0.0822607	−	0.0528657i
$891$	−0.357583	+	1.21781i	−0.0119795	+	0.0407983i
$892$	−2.49609	−	2.16287i	−0.0835751	−	0.0724183i
$893$	2.61361	+	8.90114i	0.0874611	+	0.297865i
$894$	8.28525	−	18.1422i	0.277100	−	0.606765i
$895$	−1.44667	−	10.0618i	−0.0483568	−	0.336329i
$896$	2.63210	+	0.268457i	0.0879322	+	0.00896853i
$897$	19.1886	−	6.78725i	0.640689	−	0.226620i
$898$	−16.5494			−0.552260
$899$	−41.5983	+	5.98093i	−1.38738	+	0.199475i
$900$	1.99182	−	4.36148i	0.0663941	−	0.145383i
$901$	−0.607547	−	2.06912i	−0.0202403	−	0.0689322i
$902$	−0.732791	+	0.845685i	−0.0243993	+	0.0281582i
$903$	−14.0028	−	5.71081i	−0.465984	−	0.190044i
$904$	−8.29029	−	12.8999i	−0.275731	−	0.429046i
$905$	−2.04216	−	4.47170i	−0.0678836	−	0.148644i
$906$	−11.8717	+	10.2869i	−0.394411	+	0.341759i
$907$	−14.5249	+	22.6011i	−0.482290	+	0.750458i	−0.994080	−	0.108653i	$-0.965346\pi$
$907$	−14.5249	+	22.6011i	−0.482290	+	0.750458i	0.511790	+	0.859111i	$0.328983\pi$
$908$	−2.10983	+	14.6742i	−0.0700172	+	0.486980i
$909$	6.21694	+	0.893861i	0.206203	+	0.0296475i
$910$	−3.17011	+	3.97811i	−0.105088	+	0.131873i
$911$	−10.0787	+	8.73322i	−0.333921	+	0.289345i	−0.805641	−	0.592404i	$-0.798179\pi$
$911$	−10.0787	+	8.73322i	−0.333921	+	0.289345i	0.471720	+	0.881749i	$0.343633\pi$
$912$	0.967032	−	0.441629i	0.0320216	−	0.0146238i
$913$	10.0024	+	15.5641i	0.331032	+	0.515096i
$914$	3.05560	−	10.4064i	0.101070	−	0.344213i
$915$	4.86012	+	4.21132i	0.160671	+	0.139222i
$916$	18.7308	−	5.49987i	0.618884	−	0.181721i
$917$	48.6795	+	28.5248i	1.60754	+	0.941973i
$918$	−0.548678	+	0.0788880i	−0.0181091	+	0.00260369i
$919$		−	31.5169i		−	1.03965i	−0.854274	−	0.519823i	$-0.825998\pi$
$919$		−	31.5169i		−	1.03965i	0.854274	−	0.519823i	$-0.174002\pi$
$920$	−1.88883	−	1.07351i	−0.0622730	−	0.0353927i
$921$	0.277383			0.00914007
$922$	5.98362	−	0.860315i	0.197060	−	0.0283330i
$923$	20.1847	+	9.21806i	0.664389	+	0.303416i
$924$	3.30140	−	0.614261i	0.108608	−	0.0202077i
$925$	13.9788	+	12.1127i	0.459621	+	0.398264i
$926$	−33.4169	−	9.81209i	−1.09815	−	0.322445i
$927$	0.852125	−	0.547627i	0.0279875	−	0.0179864i
$928$	−3.67250	−	8.04166i	−0.120556	−	0.263980i
$929$	−18.1265	+	15.7067i	−0.594710	+	0.515319i	−0.899397	−	0.437133i	$-0.855994\pi$
$929$	−18.1265	+	15.7067i	−0.594710	+	0.515319i	0.304686	+	0.952453i	$0.401448\pi$
$930$	1.81167	+	1.16429i	0.0594069	+	0.0381785i
$931$	−2.52435	+	7.00048i	−0.0827324	+	0.229432i
$932$	−0.431674	+	3.00236i	−0.0141399	+	0.0983454i
$933$	12.8175	+	8.23733i	0.419627	+	0.269678i
$934$	10.7572	+	12.4144i	0.351985	+	0.406212i
$935$	−0.289920	+	0.132402i	−0.00948141	+	0.00433001i
$936$	−2.29449	−	3.57030i	−0.0749978	−	0.116699i
$937$	−48.3176	−	14.1873i	−1.57847	−	0.463479i	−0.629014	−	0.777394i	$-0.716541\pi$
$937$	−48.3176	−	14.1873i	−1.57847	−	0.463479i	−0.949451	+	0.313914i	$0.898360\pi$
$938$	−14.8311	−	15.7564i	−0.484252	−	0.514465i
$939$	−5.57634	−	18.9913i	−0.181977	−	0.619757i
$940$	−3.59590	−	1.64219i	−0.117285	−	0.0535624i
$941$	5.46882	+	38.0365i	0.178278	+	1.23995i	0.860745	+	0.509037i	$0.169998\pi$
$941$	5.46882	+	38.0365i	0.178278	+	1.23995i	−0.682466	+	0.730917i	$0.739093\pi$
$942$			8.82772i			0.287623i
$943$	−2.47589	−	3.42748i	−0.0806260	−	0.111614i
$944$		−	14.0389i		−	0.456928i
$945$	1.19755	−	0.0493160i	0.0389563	−	0.00160425i
$946$	3.01368	−	6.59904i	0.0979833	−	0.214553i
$947$	−12.3582	+	3.62870i	−0.401588	+	0.117917i	−0.476288	−	0.879289i	$-0.658018\pi$
$947$	−12.3582	+	3.62870i	−0.401588	+	0.117917i	0.0747004	+	0.997206i	$0.476200\pi$
$948$	−6.33630	+	7.31248i	−0.205794	+	0.237498i
$949$	36.3772	+	10.6813i	1.18085	+	0.346730i
$950$	−4.28815	+	2.75583i	−0.139126	+	0.0894109i
$951$	−2.39673	+	1.09455i	−0.0777192	+	0.0354932i
$952$	0.842993	+	1.20011i	0.0273216	+	0.0388957i
$953$	−10.4923	+	16.3264i	−0.339879	+	0.528863i	−0.968553	−	0.248807i	$-0.919962\pi$
$953$	−10.4923	+	16.3264i	−0.339879	+	0.528863i	0.628674	+	0.777669i	$0.283598\pi$
$954$	−3.85070	−	0.553646i	−0.124671	−	0.0179250i
$955$	−4.76106	−	0.684537i	−0.154064	−	0.0221511i
$956$	−6.11816	−	3.93190i	−0.197876	−	0.127167i
$957$	−7.34798	−	8.48003i	−0.237527	−	0.274120i
$958$	10.8017	+	23.6524i	0.348986	+	0.764173i
$959$	2.42922	+	4.78751i	0.0784436	+	0.154597i
$960$	−0.127629	+	0.434665i	−0.00411921	+	0.0140288i
$961$	−5.50188	+	6.34951i	−0.177480	+	0.204823i
$962$	15.7088	−	4.61253i	0.506473	−	0.148714i
$963$	13.5169	+	6.17295i	0.435575	+	0.198920i
$964$	0.855816	+	5.95233i	0.0275640	+	0.191712i
$965$	5.05945			0.162870
$966$	−0.599478	+	12.6744i	−0.0192879	+	0.407792i
$967$	−36.1884			−1.16374			−0.581870	−	0.813282i	$-0.697679\pi$
$967$	−36.1884			−1.16374			−0.581870	+	0.813282i	$0.697679\pi$
$968$	−1.33620	−	9.29350i	−0.0429472	−	0.298704i
$969$	0.536045	+	0.244804i	0.0172202	+	0.00786422i
$970$	−7.46959	+	2.19327i	−0.239834	+	0.0704216i
$971$	−3.92094	+	4.52501i	−0.125829	+	0.145214i	−0.815168	−	0.579224i	$-0.803356\pi$
$971$	−3.92094	+	4.52501i	−0.125829	+	0.145214i	0.689339	+	0.724439i	$0.257901\pi$
$972$	−0.281733	+	0.959493i	−0.00903658	+	0.0307758i
$973$	14.4217	+	28.4223i	0.462338	+	0.911176i
$974$	−8.22668	−	18.0139i	−0.263600	−	0.577203i
$975$	13.3258	+	15.3789i	0.426769	+	0.492517i
$976$	11.9422	+	7.67477i	0.382260	+	0.245663i
$977$	−44.3495	−	6.37650i	−1.41887	−	0.204002i	−0.610190	−	0.792255i	$-0.708907\pi$
$977$	−44.3495	−	6.37650i	−1.41887	−	0.204002i	−0.808677	+	0.588253i	$0.799816\pi$
$978$	17.0309	+	2.44867i	0.544587	+	0.0782998i
$979$	4.41871	−	6.87565i	0.141223	−	0.219747i
$980$	−1.55004	−	2.76646i	−0.0495141	−	0.0883713i
$981$	12.0526	−	5.50425i	0.384811	−	0.175737i
$982$	−1.01973	+	0.655342i	−0.0325410	+	0.0209128i
$983$	20.3751	+	5.98266i	0.649863	+	0.190817i	0.590017	−	0.807391i	$-0.299121\pi$
$983$	20.3751	+	5.98266i	0.649863	+	0.190817i	0.0598460	+	0.998208i	$0.480939\pi$
$984$	−0.577352	+	0.666300i	−0.0184053	+	0.0212409i
$985$	−10.6813	+	3.13630i	−0.340333	+	0.0999309i
$986$	2.03574	−	4.45765i	0.0648312	−	0.141961i
$987$	0.949956	+	23.0680i	0.0302374	+	0.734262i
$988$			4.51183i			0.143540i
$989$	21.6616	+	16.7985i	0.688800	+	0.534161i
$990$			0.574979i			0.0182740i
$991$	−3.04011	−	21.1445i	−0.0965724	−	0.671676i	−0.979393	−	0.201965i	$-0.935267\pi$
$991$	−3.04011	−	21.1445i	−0.0965724	−	0.671676i	0.882820	−	0.469711i	$-0.155642\pi$
$992$	4.32419	+	1.97479i	0.137293	+	0.0626997i
$993$	−0.289737	−	0.986754i	−0.00919453	−	0.0313137i
$994$	−10.0730	+	9.48144i	−0.319496	+	0.300733i
$995$	5.28608	+	1.55213i	0.167580	+	0.0492060i
$996$	7.88072	+	12.2626i	0.249710	+	0.388557i
$997$	23.8413	−	10.8880i	0.755062	−	0.344825i	−0.000415695	−	1.00000i	$-0.500132\pi$
$997$	23.8413	−	10.8880i	0.755062	−	0.344825i	0.755477	+	0.655175i	$0.227405\pi$
$998$	15.3079	+	17.6663i	0.484564	+	0.559217i
$999$	−3.24528	−	2.08561i	−0.102676	−	0.0659858i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.s.a.181.4	✓	160
7.6	odd	2	inner	966.2.s.a.181.13	yes	160
23.15	odd	22	inner	966.2.s.a.475.13	yes	160
161.153	even	22	inner	966.2.s.a.475.4	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.s.a.181.4	✓	160	1.1	even	1	trivial
966.2.s.a.181.13	yes	160	7.6	odd	2	inner
966.2.s.a.475.4	yes	160	161.153	even	22	inner
966.2.s.a.475.13	yes	160	23.15	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.s (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.296662 + 0.342366i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(2.35940 - 1.19718i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.296662 + 0.342366i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(2.35940 - 1.19718i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(0.381101 + 0.244919i) q^{10} +(1.25631 + 0.180630i) q^{11} +(0.989821 + 0.142315i) q^{12} +(-2.29449 + 3.57030i) q^{13} +(-1.52077 - 2.16501i) q^{14} +(0.412077 - 0.188189i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.531866 + 0.156170i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-1.02004 + 0.299510i) q^{19} +(0.188189 - 0.412077i) q^{20} +(-2.64351 + 0.108862i) q^{21} -1.26923i q^{22} +(4.66820 + 1.09904i) q^{23} -1.00000i q^{24} +(0.682368 + 4.74597i) q^{25} +(3.86050 + 1.76303i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-1.92654 + 1.81340i) q^{28} +(8.48246 + 2.49067i) q^{29} +(-0.244919 - 0.381101i) q^{30} +(-4.32419 + 1.97479i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-1.06774 - 0.686196i) q^{33} +(0.0788880 - 0.548678i) q^{34} +(-0.290071 + 1.16294i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(2.91543 - 2.52623i) q^{37} +(0.441629 + 0.967032i) q^{38} +(3.57030 - 2.29449i) q^{39} +(-0.434665 - 0.127629i) q^{40} +(-0.666300 - 0.577352i) q^{41} +(0.483964 + 2.60111i) q^{42} +(5.19926 + 2.37442i) q^{43} +(-1.25631 + 0.180630i) q^{44} -0.453015 q^{45} +(0.423498 - 4.77710i) q^{46} -8.72627i q^{47} +(-0.989821 + 0.142315i) q^{48} +(4.13353 - 5.64924i) q^{49} +(4.60055 - 1.35084i) q^{50} +(-0.418927 - 0.363002i) q^{51} +(1.19568 - 4.07211i) q^{52} +(-2.10325 - 3.27272i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(-0.434540 + 0.376531i) q^{55} +(2.06912 + 1.64886i) q^{56} +(1.05228 + 0.151295i) q^{57} +(1.25814 - 8.75058i) q^{58} +(7.59001 - 11.8103i) q^{59} +(-0.342366 + 0.296662i) q^{60} +(5.89710 + 12.9129i) q^{61} +(2.57009 + 3.99913i) q^{62} +(2.44984 + 0.999130i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-0.541661 - 1.84473i) q^{65} +(-0.527256 + 1.15453i) q^{66} +(8.09534 - 1.16393i) q^{67} -0.554320 q^{68} +(-3.78979 - 2.93896i) q^{69} +(1.19238 + 0.121615i) q^{70} +(-0.744098 - 5.17532i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(-2.51679 - 8.57139i) q^{73} +(-2.91543 - 2.52623i) q^{74} +(1.35084 - 4.60055i) q^{75} +(0.894338 - 0.574756i) q^{76} +(3.18038 - 1.07785i) q^{77} +(-2.77924 - 3.20742i) q^{78} +(-5.23113 + 8.13980i) q^{79} +(-0.0644708 + 0.448404i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-0.476651 + 0.741683i) q^{82} +(9.54566 + 11.0163i) q^{83} +(2.50576 - 0.849215i) q^{84} +(-0.211252 + 0.135763i) q^{85} +(1.61032 - 5.48426i) q^{86} +(-6.68125 - 5.78934i) q^{87} +(0.357583 + 1.21781i) q^{88} +(2.67504 - 5.85751i) q^{89} +(0.0644708 + 0.448404i) q^{90} +(-1.13934 + 11.1707i) q^{91} +(-4.78874 + 0.260665i) q^{92} +4.75378 q^{93} +(-8.63745 + 1.24188i) q^{94} +(0.200065 - 0.438080i) q^{95} +(0.281733 + 0.959493i) q^{96} +(-11.2536 + 12.9873i) q^{97} +(-6.18000 - 3.28749i) q^{98} +(0.686196 + 1.06774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9}+O(q^{10}) \) 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9	\( 160 q - 16 q^{2} - 16 q^{4} - 16 q^{8} + 16 q^{9} - 22 q^{14} - 16 q^{16} + 16 q^{18} - 36 q^{23} + 96 q^{25} + 22 q^{28} - 20 q^{29} - 16 q^{32} - 50 q^{35} + 16 q^{36} + 22 q^{37} + 4 q^{39} - 110 q^{43} + 8 q^{46} - 36 q^{50} + 22 q^{51} - 88 q^{53} + 22 q^{57} + 24 q^{58} - 16 q^{64} - 72 q^{70} + 48 q^{71} + 16 q^{72} - 22 q^{74} + 24 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} + 22 q^{84} + 76 q^{85} + 44 q^{86} - 44 q^{88} + 8 q^{92} - 14 q^{95} + 22 q^{98} - 22 q^{99}+O(q^{100}) \) 160 * q - 16 * q^2 - 16 * q^4 - 16 * q^8 + 16 * q^9 - 22 * q^14 - 16 * q^16 + 16 * q^18 - 36 * q^23 + 96 * q^25 + 22 * q^28 - 20 * q^29 - 16 * q^32 - 50 * q^35 + 16 * q^36 + 22 * q^37 + 4 * q^39 - 110 * q^43 + 8 * q^46 - 36 * q^50 + 22 * q^51 - 88 * q^53 + 22 * q^57 + 24 * q^58 - 16 * q^64 - 72 * q^70 + 48 * q^71 + 16 * q^72 - 22 * q^74 + 24 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 + 22 * q^84 + 76 * q^85 + 44 * q^86 - 44 * q^88 + 8 * q^92 - 14 * q^95 + 22 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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