LMFDB - Embedded newform 350.2.x.a.103.19

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			103.19
Character	$\chi$	$=$	350.103
Dual form			350.2.x.a.17.19

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.998630 + 0.0523360i) q^{2} +(1.43609 + 1.77342i) q^{3} +(0.994522 + 0.104528i) q^{4} +(1.38325 + 1.75688i) q^{5} +(1.34131 + 1.84615i) q^{6} +(0.200418 - 2.63815i) q^{7} +(0.987688 + 0.156434i) q^{8} +(-0.458937 + 2.15913i) q^{9} +(1.28941 + 1.82686i) q^{10} +(-1.58007 + 0.335855i) q^{11} +(1.24285 + 1.91382i) q^{12} +(-5.14459 - 2.62130i) q^{13} +(0.338214 - 2.62404i) q^{14} +(-1.12921 + 4.97611i) q^{15} +(0.978148 + 0.207912i) q^{16} +(-1.11791 - 2.91225i) q^{17} +(-0.571308 + 2.13215i) q^{18} +(-0.634252 - 6.03450i) q^{19} +(1.19203 + 1.89184i) q^{20} +(4.96636 - 3.43319i) q^{21} +(-1.59549 + 0.252700i) q^{22} +(-0.331950 + 6.33399i) q^{23} +(1.14098 + 1.97624i) q^{24} +(-1.17323 + 4.86040i) q^{25} +(-5.00035 - 2.88696i) q^{26} +(1.61163 - 0.821164i) q^{27} +(0.475082 - 2.60275i) q^{28} +(-3.32918 + 4.58222i) q^{29} +(-1.38809 + 4.91020i) q^{30} +(-1.32150 + 2.96814i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-2.86474 - 2.31982i) q^{33} +(-0.963960 - 2.96676i) q^{34} +(4.91213 - 3.29711i) q^{35} +(-0.682113 + 2.09933i) q^{36} +(3.69700 - 2.40086i) q^{37} +(-0.317561 - 6.05943i) q^{38} +(-2.73942 - 12.8879i) q^{39} +(1.09139 + 1.95163i) q^{40} +(-2.21303 + 0.719058i) q^{41} +(5.13924 - 3.16856i) q^{42} +(2.56812 + 2.56812i) q^{43} +(-1.60652 + 0.168853i) q^{44} +(-4.42814 + 2.18032i) q^{45} +(-0.662991 + 6.30794i) q^{46} +(7.10071 + 2.72571i) q^{47} +(1.03599 + 2.03325i) q^{48} +(-6.91967 - 1.05747i) q^{49} +(-1.42600 + 4.79234i) q^{50} +(3.55923 - 6.16476i) q^{51} +(-4.84241 - 3.14470i) q^{52} +(8.88724 - 7.19675i) q^{53} +(1.65239 - 0.735693i) q^{54} +(-2.77570 - 2.31142i) q^{55} +(0.610648 - 2.57432i) q^{56} +(9.79086 - 9.79086i) q^{57} +(-3.56443 + 4.40170i) q^{58} +(-8.33711 + 9.25930i) q^{59} +(-1.64317 + 4.83082i) q^{60} +(6.83827 - 6.15721i) q^{61} +(-1.47503 + 2.89491i) q^{62} +(5.60412 + 1.64347i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-2.51096 - 12.6643i) q^{65} +(-2.73940 - 2.46657i) q^{66} +(-14.2658 + 5.47614i) q^{67} +(-0.807370 - 3.01315i) q^{68} +(-11.7095 + 8.50747i) q^{69} +(5.07796 - 3.03551i) q^{70} +(5.15163 + 3.74288i) q^{71} +(-0.791048 + 2.06075i) q^{72} +(2.72528 - 4.19656i) q^{73} +(3.81759 - 2.20408i) q^{74} +(-10.3044 + 4.89933i) q^{75} -6.06774i q^{76} +(0.569360 + 4.23578i) q^{77} +(-2.06116 - 13.0136i) q^{78} +(0.607062 + 1.36348i) q^{79} +(0.987749 + 2.00608i) q^{80} +(9.82028 + 4.37227i) q^{81} +(-2.24763 + 0.602252i) q^{82} +(-0.0376270 + 0.237568i) q^{83} +(5.29802 - 2.89525i) q^{84} +(3.57011 - 5.99240i) q^{85} +(2.43020 + 2.69901i) q^{86} +(-12.9072 + 0.676437i) q^{87} +(-1.61316 + 0.0845421i) q^{88} +(-8.48284 - 9.42115i) q^{89} +(-4.53618 + 1.94558i) q^{90} +(-7.94645 + 13.0468i) q^{91} +(-0.992214 + 6.26459i) q^{92} +(-7.16156 + 1.91893i) q^{93} +(6.94832 + 3.09359i) q^{94} +(9.72454 - 9.46154i) q^{95} +(0.928159 + 2.08468i) q^{96} +(0.646775 + 4.08357i) q^{97} +(-6.85484 - 1.41816i) q^{98} -3.56572i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{20}\right)$

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 $

$2$	0.998630	+	0.0523360i	0.706138	+	0.0370071i
$2$	0.998630	+	0.0523360i	0.706138	+	0.0370071i
$3$	1.43609	+	1.77342i	0.829125	+	1.02388i	0.999260	+	0.0384635i	$0.0122463\pi$
$3$	1.43609	+	1.77342i	0.829125	+	1.02388i	−0.170135	+	0.985421i	$0.554420\pi$
$4$	0.994522	+	0.104528i	0.497261	+	0.0522642i
$5$	1.38325	+	1.75688i	0.618609	+	0.785699i
$5$	1.38325	+	1.75688i	0.618609	+	0.785699i
$6$	1.34131	+	1.84615i	0.547586	+	0.753687i
$7$	0.200418	−	2.63815i	0.0757510	−	0.997127i
$7$	0.200418	−	2.63815i	0.0757510	−	0.997127i
$8$	0.987688	+	0.156434i	0.349201	+	0.0553079i
$9$	−0.458937	+	2.15913i	−0.152979	+	0.719709i
$10$	1.28941	+	1.82686i	0.407747	+	0.577705i
$11$	−1.58007	+	0.335855i	−0.476410	+	0.101264i	−0.439857	−	0.898068i	$-0.644971\pi$
$11$	−1.58007	+	0.335855i	−0.476410	+	0.101264i	−0.0365527	+	0.999332i	$0.511638\pi$
$12$	1.24285	+	1.91382i	0.358779	+	0.552471i
$13$	−5.14459	−	2.62130i	−1.42685	−	0.727018i	−0.441455	−	0.897284i	$-0.645537\pi$
$13$	−5.14459	−	2.62130i	−1.42685	−	0.727018i	−0.985398	+	0.170266i	$0.945537\pi$
$14$	0.338214	−	2.62404i	0.0903914	−	0.701305i
$15$	−1.12921	+	4.97611i	−0.291561	+	1.28483i
$16$	0.978148	+	0.207912i	0.244537	+	0.0519779i
$17$	−1.11791	−	2.91225i	−0.271132	−	0.706324i	−0.999770	−	0.0214250i	$-0.993180\pi$
$17$	−1.11791	−	2.91225i	−0.271132	−	0.706324i	0.728638	−	0.684899i	$-0.240154\pi$
$18$	−0.571308	+	2.13215i	−0.134658	+	0.502552i
$19$	−0.634252	−	6.03450i	−0.145507	−	1.38441i	−0.786845	−	0.617151i	$-0.788287\pi$
$19$	−0.634252	−	6.03450i	−0.145507	−	1.38441i	0.641338	−	0.767259i	$-0.278380\pi$
$20$	1.19203	+	1.89184i	0.266546	+	0.423029i
$21$	4.96636	−	3.43319i	1.08375	−	0.749183i
$22$	−1.59549	+	0.252700i	−0.340159	+	0.0538758i
$23$	−0.331950	+	6.33399i	−0.0692164	+	1.32073i	0.714511	+	0.699624i	$0.246649\pi$
$23$	−0.331950	+	6.33399i	−0.0692164	+	1.32073i	−0.783728	+	0.621104i	$0.786684\pi$
$24$	1.14098	+	1.97624i	0.232902	+	0.403398i
$25$	−1.17323	+	4.86040i	−0.234646	+	0.972081i
$26$	−5.00035	−	2.88696i	−0.980650	−	0.566178i
$27$	1.61163	−	0.821164i	0.310157	−	0.158033i
$28$	0.475082	−	2.60275i	0.0897821	−	0.491873i
$29$	−3.32918	+	4.58222i	−0.618212	+	0.850896i	−0.997221	−	0.0744966i	$-0.976265\pi$
$29$	−3.32918	+	4.58222i	−0.618212	+	0.850896i	0.379009	+	0.925393i	$0.376265\pi$
$30$	−1.38809	+	4.91020i	−0.253430	+	0.896475i
$31$	−1.32150	+	2.96814i	−0.237349	+	0.533094i	−0.992470	−	0.122491i	$-0.960912\pi$
$31$	−1.32150	+	2.96814i	−0.237349	+	0.533094i	0.755121	+	0.655586i	$0.227578\pi$
$32$	0.965926	+	0.258819i	0.170753	+	0.0457532i
$33$	−2.86474	−	2.31982i	−0.498686	−	0.403828i
$34$	−0.963960	−	2.96676i	−0.165318	−	0.508796i
$35$	4.91213	−	3.29711i	0.830302	−	0.557314i
$36$	−0.682113	+	2.09933i	−0.113685	+	0.349888i
$37$	3.69700	−	2.40086i	0.607783	−	0.394699i	−0.203735	−	0.979026i	$-0.565308\pi$
$37$	3.69700	−	2.40086i	0.607783	−	0.394699i	0.811518	+	0.584327i	$0.198641\pi$
$38$	−0.317561	−	6.05943i	−0.0515152	−	0.982969i
$39$	−2.73942	−	12.8879i	−0.438657	−	2.06372i
$40$	1.09139	+	1.95163i	0.172563	+	0.308581i
$41$	−2.21303	+	0.719058i	−0.345618	+	0.112298i	−0.476682	−	0.879076i	$-0.658161\pi$
$41$	−2.21303	+	0.719058i	−0.345618	+	0.112298i	0.131064	+	0.991374i	$0.458161\pi$
$42$	5.13924	−	3.16856i	0.793001	−	0.488920i
$43$	2.56812	+	2.56812i	0.391635	+	0.391635i	0.875270	−	0.483635i	$-0.160684\pi$
$43$	2.56812	+	2.56812i	0.391635	+	0.391635i	−0.483635	+	0.875270i	$0.660684\pi$
$44$	−1.60652	+	0.168853i	−0.242193	+	0.0254555i
$45$	−4.42814	+	2.18032i	−0.660109	+	0.325023i
$46$	−0.662991	+	6.30794i	−0.0977527	+	0.930054i
$47$	7.10071	+	2.72571i	1.03574	+	0.397585i	0.816049	−	0.577983i	$-0.196160\pi$
$47$	7.10071	+	2.72571i	1.03574	+	0.397585i	0.219696	+	0.975568i	$0.429493\pi$
$48$	1.03599	+	2.03325i	0.149532	+	0.293474i
$49$	−6.91967	−	1.05747i	−0.988524	−	0.151067i
$50$	−1.42600	+	4.79234i	−0.201666	+	0.677739i
$51$	3.55923	−	6.16476i	0.498391	−	0.863239i
$52$	−4.84241	−	3.14470i	−0.671521	−	0.436091i
$53$	8.88724	−	7.19675i	1.22076	−	0.988549i	0.220844	−	0.975309i	$-0.429119\pi$
$53$	8.88724	−	7.19675i	1.22076	−	0.988549i	0.999912	−	0.0132402i	$-0.00421462\pi$
$54$	1.65239	−	0.735693i	0.224862	−	0.100115i
$55$	−2.77570	−	2.31142i	−0.374275	−	0.311672i
$56$	0.610648	−	2.57432i	0.0816013	−	0.344008i
$57$	9.79086	−	9.79086i	1.29683	−	1.29683i
$58$	−3.56443	+	4.40170i	−0.468032	+	0.577972i
$59$	−8.33711	+	9.25930i	−1.08540	+	1.20546i	−0.107980	+	0.994153i	$0.534438\pi$
$59$	−8.33711	+	9.25930i	−1.08540	+	1.20546i	−0.977420	+	0.211305i	$0.932229\pi$
$60$	−1.64317	+	4.83082i	−0.212132	+	0.623656i
$61$	6.83827	−	6.15721i	0.875551	−	0.788350i	−0.102929	−	0.994689i	$-0.532822\pi$
$61$	6.83827	−	6.15721i	0.875551	−	0.788350i	0.978481	+	0.206339i	$0.0661549\pi$
$62$	−1.47503	+	2.89491i	−0.187329	+	0.367654i
$63$	5.60412	+	1.64347i	0.706053	+	0.207058i
$64$	0.951057	+	0.309017i	0.118882	+	0.0386271i
$65$	−2.51096	−	12.6643i	−0.311447	−	1.57082i
$66$	−2.73940	−	2.46657i	−0.337197	−	0.303613i
$67$	−14.2658	+	5.47614i	−1.74285	+	0.669017i	−1.00000		0.000443537i	$-0.999859\pi$
$67$	−14.2658	+	5.47614i	−1.74285	+	0.669017i	−0.742848	+	0.669460i	$0.766525\pi$
$68$	−0.807370	−	3.01315i	−0.0979080	−	0.365398i
$69$	−11.7095	+	8.50747i	−1.40966	+	1.02418i
$70$	5.07796	−	3.03551i	0.606932	−	0.362813i
$71$	5.15163	+	3.74288i	0.611386	+	0.444198i	0.849902	−	0.526941i	$-0.176661\pi$
$71$	5.15163	+	3.74288i	0.611386	+	0.444198i	−0.238516	+	0.971139i	$0.576661\pi$
$72$	−0.791048	+	2.06075i	−0.0932259	+	0.242862i
$73$	2.72528	−	4.19656i	0.318970	−	0.491170i	−0.642423	−	0.766350i	$-0.722071\pi$
$73$	2.72528	−	4.19656i	0.318970	−	0.491170i	0.961393	+	0.275180i	$0.0887375\pi$
$74$	3.81759	−	2.20408i	0.443785	−	0.256220i
$75$	−10.3044	+	4.89933i	−1.18985	+	0.565726i
$76$		−	6.06774i		−	0.696018i
$77$	0.569360	+	4.23578i	0.0648846	+	0.482712i
$78$	−2.06116	−	13.0136i	−0.233380	−	1.47350i
$79$	0.607062	+	1.36348i	0.0682999	+	0.153404i	0.944470	−	0.328598i	$-0.106576\pi$
$79$	0.607062	+	1.36348i	0.0682999	+	0.153404i	−0.876170	+	0.482002i	$0.839910\pi$
$80$	0.987749	+	2.00608i	0.110434	+	0.224286i
$81$	9.82028	+	4.37227i	1.09114	+	0.485808i
$82$	−2.24763	+	0.602252i	−0.248210	+	0.0665076i
$83$	−0.0376270	+	0.237568i	−0.00413010	+	0.0260764i	−0.989667	−	0.143383i	$-0.954202\pi$
$83$	−0.0376270	+	0.237568i	−0.00413010	+	0.0260764i	0.985537	+	0.169459i	$0.0542020\pi$
$84$	5.29802	−	2.89525i	0.578062	−	0.315898i
$85$	3.57011	−	5.99240i	0.387233	−	0.649967i
$86$	2.43020	+	2.69901i	0.262055	+	0.291041i
$87$	−12.9072	+	0.676437i	−1.38379	+	0.0725216i
$88$	−1.61316	+	0.0845421i	−0.171963	+	0.00901222i
$89$	−8.48284	−	9.42115i	−0.899180	−	0.998640i	−0.999993	−	0.00373482i	$-0.998811\pi$
$89$	−8.48284	−	9.42115i	−0.899180	−	0.998640i	0.100813	−	0.994905i	$-0.467855\pi$
$90$	−4.53618	+	1.94558i	−0.478156	+	0.205082i
$91$	−7.94645	+	13.0468i	−0.833015	+	1.36768i
$92$	−0.992214	+	6.26459i	−0.103445	+	0.653129i
$93$	−7.16156	+	1.91893i	−0.742619	+	0.198984i
$94$	6.94832	+	3.09359i	0.716665	+	0.319080i
$95$	9.72454	−	9.46154i	0.997717	−	0.970733i
$96$	0.928159	+	2.08468i	0.0947298	+	0.212767i
$97$	0.646775	+	4.08357i	0.0656700	+	0.414624i	0.998521	+	0.0543624i	$0.0173126\pi$
$97$	0.646775	+	4.08357i	0.0656700	+	0.414624i	−0.932851	+	0.360262i	$0.882687\pi$
$98$	−6.85484	−	1.41816i	−0.692443	−	0.143256i
$99$		−	3.56572i		−	0.358368i
$100$	−1.67485	+	4.71114i	−0.167485	+	0.471114i
$101$	1.17807	−	0.680157i	0.117222	−	0.0676781i	−0.440243	−	0.897879i	$-0.645108\pi$
$101$	1.17807	−	0.680157i	0.117222	−	0.0676781i	0.557465	+	0.830201i	$0.311774\pi$
$102$	3.87699	−	5.97004i	0.383879	−	0.591122i
$103$	4.67626	−	12.1821i	0.460766	−	1.20034i	−0.484719	−	0.874670i	$-0.661078\pi$
$103$	4.67626	−	12.1821i	0.460766	−	1.20034i	0.945485	−	0.325666i	$-0.105588\pi$
$104$	−4.67119	−	3.39382i	−0.458048	−	0.332791i
$105$	12.9014	+	3.97633i	1.25905	+	0.388050i
$106$	9.25171	−	6.72176i	0.898606	−	0.652875i
$107$	−0.0724477	−	0.270378i	−0.00700378	−	0.0261385i	0.962336	−	0.271865i	$-0.0876403\pi$
$107$	−0.0724477	−	0.270378i	−0.00700378	−	0.0261385i	−0.969339	+	0.245726i	$0.920974\pi$
$108$	1.68863	−	0.648205i	0.162489	−	0.0623736i
$109$	3.21416	+	2.89404i	0.307860	+	0.277199i	0.808549	−	0.588429i	$-0.200253\pi$
$109$	3.21416	+	2.89404i	0.307860	+	0.277199i	−0.500689	+	0.865627i	$0.666920\pi$
$110$	−2.65092	−	2.45352i	−0.252755	−	0.233934i
$111$	9.56695	+	3.10849i	0.908054	+	0.295045i
$112$	0.744541	−	2.53883i	0.0703525	−	0.239897i
$113$	2.46739	−	4.84253i	0.232113	−	0.455547i	−0.745345	−	0.666679i	$-0.767715\pi$
$113$	2.46739	−	4.84253i	0.232113	−	0.455547i	0.977457	+	0.211132i	$0.0677151\pi$
$114$	10.2899	−	9.26503i	0.963734	−	0.867750i
$115$	−11.5872	+	8.17831i	−1.08051	+	0.762631i
$116$	−3.78991	+	4.20912i	−0.351884	+	0.390807i
$117$	8.02076	−	9.90482i	0.741520	−	0.915700i
$118$	−8.81028	+	8.81028i	−0.811052	+	0.811052i
$119$	−7.90699	+	2.36554i	−0.724833	+	0.216849i
$120$	−1.89374	+	4.73820i	−0.172874	+	0.432537i
$121$	−7.66517	+	3.41275i	−0.696833	+	0.310250i
$122$	7.15115	−	5.79088i	0.647434	−	0.524282i
$123$	−4.45330	−	2.89201i	−0.401541	−	0.260764i
$124$	−1.62452	+	2.81375i	−0.145886	+	0.252682i
$125$	−10.1620	+	4.66194i	−0.908917	+	0.416977i
$126$	5.51043	+	1.93452i	0.490908	+	0.172340i
$127$	7.43826	+	14.5984i	0.660039	+	1.29540i	0.941884	+	0.335939i	$0.109054\pi$
$127$	7.43826	+	14.5984i	0.660039	+	1.29540i	−0.281845	+	0.959460i	$0.590946\pi$
$128$	0.933580	+	0.358368i	0.0825176	+	0.0316756i
$129$	−0.866311	+	8.24240i	−0.0762744	+	0.725703i
$130$	−1.84472	−	12.7784i	−0.161793	−	1.12074i
$131$	−1.45348	+	0.152767i	−0.126991	+	0.0133473i	−0.167811	−	0.985819i	$-0.553670\pi$
$131$	−1.45348	+	0.152767i	−0.126991	+	0.0133473i	0.0408196	+	0.999167i	$0.487003\pi$
$132$	−2.60655	−	2.60655i	−0.226871	−	0.226871i
$133$	−16.0470	+	0.463827i	−1.39145	+	0.0402189i
$134$	−14.5329	+	4.72202i	−1.25545	+	0.407920i
$135$	3.67197	+	1.69555i	0.316033	+	0.145930i
$136$	−0.648568	−	3.05127i	−0.0556142	−	0.261644i
$137$	−0.691966	−	13.2035i	−0.0591186	−	1.12805i	−0.853657	−	0.520836i	$-0.825620\pi$
$137$	−0.691966	−	13.2035i	−0.0591186	−	1.12805i	0.794538	−	0.607215i	$-0.207713\pi$
$138$	−12.1387	+	7.88298i	−1.03332	+	0.671044i
$139$	−4.69331	+	14.4445i	−0.398081	+	1.22517i	0.528455	+	0.848962i	$0.322772\pi$
$139$	−4.69331	+	14.4445i	−0.398081	+	1.22517i	−0.926536	+	0.376207i	$0.877228\pi$
$140$	5.22986	−	2.76560i	0.442004	−	0.233735i
$141$	5.36341	+	16.5069i	0.451681	+	1.39013i
$142$	4.94868	+	4.00736i	0.415284	+	0.336290i
$143$	9.00921	+	2.41401i	0.753388	+	0.201870i
$144$	−0.897815	+	2.01653i	−0.0748180	+	0.168044i
$145$	−12.6555	+	0.489409i	−1.05098	+	0.0406432i
$146$	2.94117	−	4.04818i	0.243413	−	0.335030i
$147$	−8.06191	−	13.7901i	−0.664935	−	1.13739i
$148$	3.92771	−	2.00127i	0.322855	−	0.164503i
$149$	−1.31991	−	0.762051i	−0.108131	−	0.0624297i	0.444959	−	0.895551i	$-0.353218\pi$
$149$	−1.31991	−	0.762051i	−0.108131	−	0.0624297i	−0.553090	+	0.833121i	$0.686552\pi$
$150$	−10.5467	+	4.35333i	−0.861133	+	0.355448i
$151$	5.28683	+	9.15707i	0.430236	+	0.745191i	0.996893	−	0.0787624i	$-0.0250968\pi$
$151$	5.28683	+	9.15707i	0.430236	+	0.745191i	−0.566657	+	0.823954i	$0.691764\pi$
$152$	0.317561	−	6.05943i	0.0257576	−	0.491484i
$153$	6.80096	−	1.07717i	0.549825	−	0.0870837i
$154$	0.346896	+	4.25978i	0.0279537	+	0.343262i
$155$	−7.04263	+	1.78397i	−0.565678	+	0.143292i
$156$	−1.37725	−	13.1037i	−0.110268	−	1.04913i
$157$	1.98719	−	7.41630i	0.158595	−	0.591885i	−0.840175	−	0.542315i	$-0.817548\pi$
$157$	1.98719	−	7.41630i	0.158595	−	0.591885i	0.998771	−	0.0495706i	$-0.0157853\pi$
$158$	0.534871	+	1.39339i	0.0425521	+	0.110852i
$159$	25.5257	+	5.42566i	2.02432	+	0.430283i
$160$	0.881405	+	2.05502i	0.0696812	+	0.162464i
$161$	16.6435	+	2.14518i	1.31169	+	0.169064i
$162$	9.57800	+	4.88023i	0.752519	+	0.383427i
$163$	−8.13037	−	12.5197i	−0.636820	−	0.980616i	−0.998826	−	0.0484407i	$-0.984575\pi$
$163$	−8.13037	−	12.5197i	−0.636820	−	0.980616i	0.362006	−	0.932176i	$-0.382092\pi$
$164$	−2.27607	+	0.483794i	−0.177731	+	0.0377780i
$165$	0.112982	−	8.24188i	0.00879563	−	0.641629i
$166$	−0.0500088	+	0.235273i	−0.00388143	+	0.0182607i
$167$	20.1993	+	3.19926i	1.56307	+	0.247566i	0.877188	−	0.480147i	$-0.159417\pi$
$167$	20.1993	+	3.19926i	1.56307	+	0.247566i	0.685882	+	0.727713i	$0.259417\pi$
$168$	5.44229	−	2.61401i	0.419882	−	0.201675i
$169$	11.9544	+	16.4538i	0.919569	+	1.26568i
$170$	3.87884	−	5.79734i	0.297493	−	0.444636i
$171$	13.3203	+	1.40002i	1.01863	+	0.107062i
$172$	2.28561	+	2.82249i	0.174276	+	0.215213i
$173$	−5.84918	−	0.306542i	−0.444705	−	0.0233060i	−0.171330	−	0.985214i	$-0.554807\pi$
$173$	−5.84918	−	0.306542i	−0.444705	−	0.0233060i	−0.273375	+	0.961908i	$0.588140\pi$
$174$	−12.9249			−0.979834
$175$	12.5873	+	4.06927i	0.951513	+	0.307608i
$176$	−1.61537			−0.121763
$177$	−28.3934	−	1.48804i	−2.13418	−	0.111848i
$178$	−7.97815	−	9.85220i	−0.597988	−	0.738454i
$179$	10.9716	+	1.15316i	0.820054	+	0.0861911i	0.505258	−	0.862968i	$-0.331397\pi$
$179$	10.9716	+	1.15316i	0.820054	+	0.0861911i	0.314796	+	0.949159i	$0.398064\pi$
$180$	−4.63179	+	1.70551i	−0.345233	+	0.127121i
$181$	5.22199	+	7.18745i	0.388147	+	0.534239i	0.957720	−	0.287702i	$-0.0928913\pi$
$181$	5.22199	+	7.18745i	0.388147	+	0.534239i	−0.569573	+	0.821941i	$0.692891\pi$
$182$	−8.61838	+	12.6131i	−0.638837	+	0.934944i
$183$	20.7397	+	3.28484i	1.53312	+	0.242822i
$184$	−1.31872	+	6.20408i	−0.0972172	+	0.457371i
$185$	9.33190	+	3.17418i	0.686095	+	0.233370i
$186$	−7.25217	+	1.54150i	−0.531755	+	0.113028i
$187$	2.74447	+	4.22611i	0.200695	+	0.309044i
$188$	6.77689	+	3.45300i	0.494256	+	0.251836i
$189$	−1.84335	−	4.41629i	−0.134084	−	0.321237i
$190$	10.2064	−	8.93963i	0.740450	−	0.648549i
$191$	1.03284	+	0.219537i	0.0747337	+	0.0158851i	0.245127	−	0.969491i	$-0.421170\pi$
$191$	1.03284	+	0.219537i	0.0747337	+	0.0158851i	−0.170393	+	0.985376i	$0.554504\pi$
$192$	0.817783	+	2.13040i	0.0590184	+	0.153748i
$193$	1.82960	−	6.82815i	0.131697	−	0.491501i	−0.868292	−	0.496053i	$-0.834782\pi$
$193$	1.82960	−	6.82815i	0.131697	−	0.491501i	0.999990	+	0.00455177i	$0.00144888\pi$
$194$	0.432170	+	4.11183i	0.0310280	+	0.295212i
$195$	18.8532	−	22.6401i	1.35011	−	1.62129i
$196$	−6.77122	−	1.77498i	−0.483659	−	0.126784i
$197$	−0.906924	+	0.143643i	−0.0646157	+	0.0102341i	−0.188659	−	0.982043i	$-0.560414\pi$
$197$	−0.906924	+	0.143643i	−0.0646157	+	0.0102341i	0.124043	+	0.992277i	$0.460414\pi$
$198$	0.186615	−	3.56083i	0.0132622	−	0.253057i
$199$	−0.321632	−	0.557083i	−0.0227999	−	0.0394906i	0.854400	−	0.519615i	$-0.173925\pi$
$199$	−0.321632	−	0.557083i	−0.0227999	−	0.0394906i	−0.877200	+	0.480125i	$0.840591\pi$
$200$	−1.91912	+	4.61703i	−0.135702	+	0.326473i
$201$	−30.1985	−	17.4351i	−2.13003	−	1.22978i
$202$	1.21205	−	0.617569i	0.0852794	−	0.0434520i
$203$	11.4213	+	9.70122i	0.801621	+	0.680892i
$204$	4.18412	−	5.75895i	0.292947	−	0.403207i
$205$	−4.32448	−	2.89339i	−0.302035	−	0.202083i
$206$	5.30741	−	11.9206i	0.369785	−	0.830551i
$207$	−13.5235	−	3.62362i	−0.939951	−	0.251859i
$208$	−4.48717	−	3.63364i	−0.311129	−	0.251948i
$209$	3.02888	+	9.32194i	0.209512	+	0.644812i
$210$	12.6756	+	4.64609i	0.874702	+	0.320610i
$211$	−4.28539	+	13.1891i	−0.295018	+	0.907973i	0.688197	+	0.725524i	$0.258403\pi$
$211$	−4.28539	+	13.1891i	−0.295018	+	0.907973i	−0.983215	+	0.182449i	$0.941597\pi$
$212$	9.59082	−	6.22835i	0.658700	−	0.427765i
$213$	0.760494	+	14.5111i	0.0521082	+	0.994284i
$214$	−0.0581979	−	0.273800i	−0.00397833	−	0.0187166i
$215$	−0.959513	+	8.06423i	−0.0654383	+	0.549976i
$216$	1.72024	−	0.558941i	0.117048	−	0.0380311i
$217$	7.56555	+	4.08119i	0.513583	+	0.277049i
$218$	3.05829	+	3.05829i	0.207134	+	0.207134i
$219$	11.3560	−	1.19356i	0.767367	−	0.0806535i
$220$	−2.51888	−	2.58890i	−0.169823	−	0.174544i
$221$	−1.88270	+	17.9127i	−0.126644	+	1.20494i
$222$	9.39115	+	3.60492i	0.630293	+	0.241947i
$223$	1.17228	+	2.30072i	0.0785014	+	0.154068i	0.926921	−	0.375257i	$-0.122445\pi$
$223$	1.17228	+	2.30072i	0.0785014	+	0.154068i	−0.848419	+	0.529324i	$0.822445\pi$
$224$	0.876392	−	2.49638i	0.0585564	−	0.166797i
$225$	−9.95579	−	4.76377i	−0.663719	−	0.317585i
$226$	2.71745	−	4.70676i	0.180762	−	0.313089i
$227$	−1.19504	−	0.776065i	−0.0793173	−	0.0515093i	0.504371	−	0.863487i	$-0.331724\pi$
$227$	−1.19504	−	0.776065i	−0.0793173	−	0.0515093i	−0.583688	+	0.811978i	$0.698391\pi$
$228$	10.7607	−	8.71380i	0.712642	−	0.577086i
$229$	−27.3178	+	12.1627i	−1.80521	+	0.803733i	−0.839853	+	0.542814i	$0.817359\pi$
$229$	−27.3178	+	12.1627i	−1.80521	+	0.803733i	−0.965361	+	0.260919i	$0.915974\pi$
$230$	−11.9993	+	7.56067i	−0.791214	+	0.498536i
$231$	−6.69417	+	7.09267i	−0.440444	+	0.466663i
$232$	−4.00500	+	4.00500i	−0.262941	+	0.262941i
$233$	12.8790	−	15.9043i	0.843733	−	1.04192i	−0.154810	−	0.987944i	$-0.549476\pi$
$233$	12.8790	−	15.9043i	0.843733	−	1.04192i	0.998542	−	0.0539786i	$-0.0171903\pi$
$234$	8.52815	−	9.47147i	0.557502	−	0.619169i
$235$	5.03333	+	16.2454i	0.328339	+	1.05973i
$236$	−9.25930	+	8.33711i	−0.602729	+	0.542700i
$237$	−1.54624	+	3.03466i	−0.100439	+	0.197122i
$238$	−8.01996	+	1.94848i	−0.519857	+	0.126301i
$239$	−5.92506	−	1.92517i	−0.383260	−	0.124529i	0.111049	−	0.993815i	$-0.464579\pi$
$239$	−5.92506	−	1.92517i	−0.383260	−	0.124529i	−0.494309	+	0.869286i	$0.664579\pi$
$240$	−2.13913	+	4.63260i	−0.138080	+	0.299033i
$241$	−19.8505	−	17.8735i	−1.27868	−	1.15133i	−0.980435	−	0.196842i	$-0.936931\pi$
$241$	−19.8505	−	17.8735i	−1.27868	−	1.15133i	−0.298247	−	0.954489i	$-0.596402\pi$
$242$	−7.83327	+	3.00691i	−0.503542	+	0.193292i
$243$	4.94448	+	18.4530i	0.317188	+	1.18376i
$244$	7.44442	−	5.40868i	0.476580	−	0.346256i
$245$	−7.71380	−	13.6197i	−0.492817	−	0.870133i
$246$	−4.29584	−	3.12111i	−0.273893	−	0.198995i
$247$	−12.5553	+	32.7076i	−0.798873	+	2.08114i
$248$	−1.76955	+	2.72487i	−0.112367	+	0.173030i
$249$	−0.475343	+	0.274439i	−0.0301236	+	0.0173919i
$250$	−10.3921	+	4.12372i	−0.657252	+	0.260807i
$251$			8.17815i			0.516200i	0.966118	+	0.258100i	$0.0830965\pi$
$251$			8.17815i			0.516200i	−0.966118	+	0.258100i	$0.916904\pi$
$252$	5.40163	+	2.22026i	0.340271	+	0.139863i
$253$	−1.60280	−	10.1197i	−0.100767	−	0.636217i
$254$	6.66404	+	14.9677i	0.418139	+	0.939156i
$255$	15.7540	−	2.27429i	0.986555	−	0.142422i
$256$	0.913545	+	0.406737i	0.0570966	+	0.0254210i
$257$	24.8309	−	6.65343i	1.54891	−	0.415030i	0.619779	−	0.784776i	$-0.287222\pi$
$257$	24.8309	−	6.65343i	1.54891	−	0.415030i	0.929133	+	0.369747i	$0.120556\pi$
$258$	−1.29650	+	8.18576i	−0.0807164	+	0.509623i
$259$	−5.59288	−	10.2344i	−0.347525	−	0.635936i
$260$	−1.17343	−	12.8574i	−0.0727728	−	0.797383i
$261$	−8.36571	−	9.29106i	−0.517824	−	0.575102i
$262$	−1.45948	+	0.0764883i	−0.0901672	+	0.00472546i
$263$	−4.38303	+	0.229705i	−0.270269	+	0.0141642i	−0.186989	−	0.982362i	$-0.559873\pi$
$263$	−4.38303	+	0.229705i	−0.270269	+	0.0141642i	−0.0832799	+	0.996526i	$0.526540\pi$
$264$	−2.46657	−	2.73940i	−0.151807	−	0.168598i
$265$	24.9371	+	5.65888i	1.53187	+	0.347622i
$266$	−16.0493	−	0.376646i	−0.984047	−	0.0230936i
$267$	4.52556	−	28.5732i	0.276960	−	1.74865i
$268$	−14.7601	+	3.95495i	−0.901616	+	0.241587i
$269$	4.87876	+	2.17216i	0.297463	+	0.132439i	0.550042	−	0.835137i	$-0.314612\pi$
$269$	4.87876	+	2.17216i	0.297463	+	0.132439i	−0.252578	+	0.967576i	$0.581279\pi$
$270$	3.57820	+	1.88540i	0.217762	+	0.114742i
$271$	−11.1352	−	25.0100i	−0.676413	−	1.51925i	−0.845687	−	0.533679i	$-0.820809\pi$
$271$	−11.1352	−	25.0100i	−0.676413	−	1.51925i	0.169275	−	0.985569i	$-0.445857\pi$
$272$	−0.487988	−	3.08103i	−0.0295886	−	0.186815i
$273$	−34.5493	+	4.64401i	−2.09102	+	0.281068i
$274$		−	13.2216i		−	0.798747i
$275$	0.221398	−	8.07383i	0.0133508	−	0.486870i
$276$	−12.5347	+	7.23689i	−0.754498	+	0.435610i
$277$	−7.83177	+	12.0599i	−0.470566	+	0.724608i	−0.991659	−	0.128892i	$-0.958858\pi$
$277$	−7.83177	+	12.0599i	−0.470566	+	0.724608i	0.521093	+	0.853500i	$0.325524\pi$
$278$	−5.44284	+	14.1791i	−0.326440	+	0.850406i
$279$	−5.80211	−	4.21548i	−0.347363	−	0.252374i
$280$	5.36744	−	2.48809i	0.320766	−	0.148692i
$281$	−15.3849	+	11.1778i	−0.917786	+	0.666810i	−0.942972	−	0.332873i	$-0.891982\pi$
$281$	−15.3849	+	11.1778i	−0.917786	+	0.666810i	0.0251862	+	0.999683i	$0.491982\pi$
$282$	4.49216	+	16.7650i	0.267504	+	0.998339i
$283$	23.2296	−	8.91701i	1.38086	−	0.530061i	0.449210	−	0.893426i	$-0.351706\pi$
$283$	23.2296	−	8.91701i	1.38086	−	0.530061i	0.931647	+	0.363365i	$0.118372\pi$
$284$	4.73217	+	4.26087i	0.280803	+	0.252836i
$285$	30.7446	+	3.65811i	1.82115	+	0.216688i
$286$	8.87052	+	2.88221i	0.524525	+	0.170429i
$287$	1.45345	+	5.98243i	0.0857945	+	0.353131i
$288$	−1.00212	+	1.96677i	−0.0590506	+	0.115893i
$289$	5.40199	−	4.86397i	0.317764	−	0.286116i
$290$	−12.6637	−	0.173598i	−0.743641	−	0.0101940i
$291$	−6.31307	+	7.01137i	−0.370078	+	0.411014i
$292$	3.14901	−	3.88870i	0.184282	−	0.227569i
$293$	−15.6306	+	15.6306i	−0.913147	+	0.913147i	−0.996519	−	0.0833716i	$-0.973431\pi$
$293$	−15.6306	+	15.6306i	−0.913147	+	0.913147i	0.0833716	+	0.996519i	$0.473431\pi$
$294$	−7.32914	−	14.1931i	−0.427444	−	0.827759i
$295$	−27.7998	−	1.83933i	−1.61857	−	0.107090i
$296$	4.02706	−	1.79296i	0.234068	−	0.104214i
$297$	−2.27070	+	1.83877i	−0.131759	+	0.106696i
$298$	−1.27822	−	0.830086i	−0.0740453	−	0.0480856i
$299$	18.3110	−	31.7156i	1.05895	−	1.83416i
$300$	−10.7601	+	3.79539i	−0.621233	+	0.219127i
$301$	7.28978	−	6.26039i	0.420176	−	0.360843i
$302$	4.80034	+	9.42121i	0.276229	+	0.542130i
$303$	2.89801	+	1.11244i	0.166486	+	0.0639081i
$304$	0.634252	−	6.03450i	0.0363768	−	0.346102i
$305$	20.2765	+	3.49703i	1.16103	+	0.200239i
$306$	6.84802	−	0.719755i	0.391475	−	0.0411457i
$307$	−19.8620	−	19.8620i	−1.13358	−	1.13358i	−0.989577	−	0.144005i	$-0.954002\pi$
$307$	−19.8620	−	19.8620i	−1.13358	−	1.13358i	−0.144005	−	0.989577i	$-0.545998\pi$
$308$	0.123481	+	4.27209i	0.00703601	+	0.243425i
$309$	28.3195	−	9.20155i	1.61104	−	0.523458i
$310$	−7.12635	+	1.41295i	−0.404749	+	0.0802499i
$311$	−5.43638	−	25.5761i	−0.308269	−	1.45029i	−0.810593	−	0.585611i	$-0.800855\pi$
$311$	−5.43638	−	25.5761i	−0.308269	−	1.45029i	0.502324	−	0.864680i	$-0.332479\pi$
$312$	−0.689571	−	13.1578i	−0.0390393	−	0.744914i
$313$	2.26838	−	1.47310i	0.128216	−	0.0832646i	−0.478937	−	0.877849i	$-0.658978\pi$
$313$	2.26838	−	1.47310i	0.128216	−	0.0832646i	0.607154	+	0.794584i	$0.292311\pi$
$314$	2.37261	−	7.30214i	0.133894	−	0.412083i
$315$	4.86453	+	12.1191i	0.274085	+	0.682833i
$316$	0.461214	+	1.41947i	0.0259453	+	0.0798514i
$317$	4.37985	+	3.54673i	0.245997	+	0.199204i	0.744387	−	0.667749i	$-0.232742\pi$
$317$	4.37985	+	3.54673i	0.245997	+	0.199204i	−0.498390	+	0.866953i	$0.666075\pi$
$318$	25.2068	+	6.75413i	1.41353	+	0.378753i
$319$	3.72138	−	8.35836i	0.208357	−	0.467978i
$320$	0.772646	+	2.09834i	0.0431922	+	0.117301i
$321$	0.375453	−	0.516767i	0.0209558	−	0.0288431i
$322$	16.5084	+	3.01329i	0.919977	+	0.167924i
$323$	−16.8649	+	8.59311i	−0.938390	+	0.478134i
$324$	9.30946	+	5.37482i	0.517192	+	0.298601i
$325$	18.7764	−	21.9294i	1.04153	−	1.21642i
$326$	−7.46400	−	12.9280i	−0.413393	−	0.716017i
$327$	−0.516539	+	9.85614i	−0.0285647	+	0.545046i
$328$	−2.29827	+	0.364011i	−0.126901	+	0.0200991i
$329$	8.61393	−	18.1864i	0.474901	−	1.00265i
$330$	0.544174	−	8.22467i	0.0299558	−	0.452753i
$331$	1.27229	+	12.1050i	0.0699312	+	0.665351i	0.972196	+	0.234169i	$0.0752368\pi$
$331$	1.27229	+	12.1050i	0.0699312	+	0.665351i	−0.902265	+	0.431182i	$0.858097\pi$
$332$	−0.0622535	+	0.232333i	−0.00341660	+	0.0127509i
$333$	3.48707	+	9.08414i	0.191090	+	0.497808i
$334$	20.0042	+	4.25202i	1.09458	+	0.232660i
$335$	−29.3541	−	17.4884i	−1.60379	−	0.955494i
$336$	5.57164	−	2.32560i	0.303958	−	0.126872i
$337$	−27.6070	−	14.0665i	−1.50385	−	0.766250i	−0.508363	−	0.861143i	$-0.669749\pi$
$337$	−27.6070	−	14.0665i	−1.50385	−	0.766250i	−0.995488	+	0.0948922i	$0.969749\pi$
$338$	11.0769	+	17.0569i	0.602503	+	0.927774i
$339$	12.1312	−	2.57857i	0.658878	−	0.140049i
$340$	4.17693	−	5.58639i	0.226526	−	0.302965i
$341$	1.09121	−	5.13372i	0.0590921	−	0.278007i
$342$	13.2288	+	2.09524i	0.715332	+	0.113297i
$343$	−4.17658	+	18.0432i	−0.225514	+	0.974240i
$344$	2.13476	+	2.93824i	0.115099	+	0.158420i
$345$	−31.1438	−	8.80423i	−1.67673	−	0.474004i
$346$	−5.82512	−	0.612245i	−0.313160	−	0.0329145i
$347$	−4.97028	−	6.13779i	−0.266819	−	0.329494i	0.626073	−	0.779764i	$-0.284661\pi$
$347$	−4.97028	−	6.13779i	−0.266819	−	0.329494i	−0.892892	+	0.450270i	$0.851328\pi$
$348$	−12.9072	−	0.676437i	−0.691897	−	0.0362608i
$349$	−8.18039			−0.437886			−0.218943	−	0.975738i	$-0.570261\pi$
$349$	−8.18039			−0.437886			−0.218943	+	0.975738i	$0.570261\pi$
$350$	12.3571	+	4.72246i	0.660516	+	0.252426i
$351$	−10.4437			−0.557442
$352$	−1.61316	−	0.0845421i	−0.0859817	−	0.00450611i
$353$	−13.8126	−	17.0571i	−0.735169	−	0.907858i	0.263212	−	0.964738i	$-0.415218\pi$
$353$	−13.8126	−	17.0571i	−0.735169	−	0.907858i	−0.998381	+	0.0568804i	$0.981885\pi$
$354$	−28.2767	−	2.97200i	−1.50289	−	0.157960i
$355$	0.550226	+	14.2281i	0.0292030	+	0.755150i
$356$	−7.45160	−	10.2562i	−0.394934	−	0.543580i
$357$	−15.5502	−	10.6253i	−0.823005	−	0.562350i
$358$	10.8962	+	1.72579i	0.575881	+	0.0912106i
$359$	−0.847285	+	3.98616i	−0.0447180	+	0.210382i	−0.994834	−	0.101515i	$-0.967631\pi$
$359$	−0.847285	+	3.98616i	−0.0447180	+	0.210382i	0.950116	+	0.311897i	$0.100964\pi$
$360$	−4.71470	+	1.46076i	−0.248487	+	0.0769890i
$361$	−17.4281	+	3.70446i	−0.917270	+	0.194972i
$362$	4.83867	+	7.45090i	0.254315	+	0.391610i
$363$	−17.0601	−	8.69255i	−0.895422	−	0.456240i
$364$	−9.26669	+	12.1447i	−0.485706	+	0.636557i
$365$	11.1426	−	1.01692i	0.583229	−	0.0532281i
$366$	20.5393	+	4.36577i	1.07361	+	0.228202i
$367$	7.06901	+	18.4154i	0.368999	+	0.961276i	0.984849	+	0.173413i	$0.0554794\pi$
$367$	7.06901	+	18.4154i	0.368999	+	0.961276i	−0.615850	+	0.787864i	$0.711187\pi$
$368$	−1.64161	+	6.12656i	−0.0855747	+	0.319369i
$369$	−0.536896	−	5.10822i	−0.0279497	−	0.265923i
$370$	9.15298	+	3.65822i	0.475841	+	0.190182i
$371$	−17.2049	−	24.8882i	−0.893235	−	1.29213i
$372$	−7.32291	+	1.15983i	−0.379675	+	0.0601346i
$373$	0.850597	−	16.2303i	0.0440422	−	0.840376i	−0.883906	−	0.467665i	$-0.845095\pi$
$373$	0.850597	−	16.2303i	0.0440422	−	0.840376i	0.927948	−	0.372710i	$-0.121571\pi$
$374$	2.51953	+	4.36395i	0.130282	+	0.225655i
$375$	−22.8611	−	11.3265i	−1.18054	−	0.584900i
$376$	6.58689	+	3.80294i	0.339693	+	0.196122i
$377$	29.1386	−	14.8469i	1.50072	−	0.764653i
$378$	−1.60970	−	4.50671i	−0.0827939	−	0.231800i
$379$	−0.819067	+	1.12735i	−0.0420726	+	0.0579080i	−0.829535	−	0.558455i	$-0.811394\pi$
$379$	−0.819067	+	1.12735i	−0.0420726	+	0.0579080i	0.787462	+	0.616363i	$0.211394\pi$
$380$	10.6603	−	8.39321i	0.546860	−	0.430563i
$381$	−15.2071	+	34.1557i	−0.779084	+	1.74985i
$382$	1.01993	+	0.273291i	0.0521844	+	0.0139828i
$383$	26.2805	+	21.2816i	1.34287	+	1.08744i	0.988319	+	0.152401i	$0.0487005\pi$
$383$	26.2805	+	21.2816i	1.34287	+	1.08744i	0.354554	+	0.935036i	$0.384633\pi$
$384$	0.705166	+	2.17028i	0.0359853	+	0.110752i
$385$	−6.65418	+	6.85945i	−0.339128	+	0.349590i
$386$	2.18445	−	6.72304i	0.111185	−	0.342194i
$387$	−6.72350	+	4.36629i	−0.341775	+	0.221951i
$388$	0.216382	+	4.12881i	0.0109851	+	0.209609i
$389$	0.259744	+	1.22200i	0.0131695	+	0.0619578i	0.984242	−	0.176828i	$-0.0565838\pi$
$389$	0.259744	+	1.22200i	0.0131695	+	0.0619578i	−0.971072	+	0.238786i	$0.923250\pi$
$390$	20.0123	−	21.6223i	1.01336	−	1.09489i
$391$	18.8172	−	6.11409i	0.951629	−	0.309203i
$392$	−6.66905	−	2.12692i	−0.336838	−	0.107426i
$393$	−2.35824	−	2.35824i	−0.118958	−	0.118958i
$394$	−0.913199	+	0.0959811i	−0.0460063	+	0.00483546i
$395$	−1.55575	+	2.95258i	−0.0782785	+	0.148560i
$396$	0.372719	−	3.54618i	0.0187298	−	0.178202i
$397$	−20.0538	−	7.69794i	−1.00647	−	0.386349i	−0.201390	−	0.979511i	$-0.564546\pi$
$397$	−20.0538	−	7.69794i	−1.00647	−	0.386349i	−0.805083	+	0.593163i	$0.797879\pi$
$398$	−0.292036	−	0.573153i	−0.0146384	−	0.0287295i
$399$	−23.8675	−	27.7920i	−1.19487	−	1.39134i
$400$	−2.15813	+	4.51026i	−0.107906	+	0.225513i
$401$	12.2446	−	21.2082i	0.611465	−	1.05909i	−0.379528	−	0.925180i	$-0.623914\pi$
$401$	12.2446	−	21.2082i	0.611465	−	1.05909i	0.990994	−	0.133909i	$-0.0427530\pi$
$402$	−29.2446	−	18.9917i	−1.45859	−	0.947218i
$403$	14.5790	−	11.8058i	0.726231	−	0.588090i
$404$	1.24271	−	0.553289i	0.0618270	−	0.0275272i
$405$	5.90238	+	23.3010i	0.293292	+	1.15783i
$406$	10.8980	+	10.2857i	0.540857	+	0.510469i
$407$	−5.03519	+	5.03519i	−0.249585	+	0.249585i
$408$	4.47979	−	5.53208i	0.221782	−	0.273879i
$409$	−0.562054	+	0.624224i	−0.0277918	+	0.0308659i	−0.756880	−	0.653553i	$-0.773278\pi$
$409$	−0.562054	+	0.624224i	−0.0277918	+	0.0308659i	0.729089	+	0.684419i	$0.239944\pi$
$410$	−4.16712	−	3.11575i	−0.205800	−	0.153876i
$411$	22.4216	−	20.1885i	1.10598	−	0.995826i
$412$	5.92402	−	11.6265i	0.291855	−	0.572799i
$413$	22.7565	+	23.8503i	1.11977	+	1.17360i
$414$	−13.3154	−	4.32642i	−0.654414	−	0.212632i
$415$	−0.469424	+	0.262510i	−0.0230431	+	0.0128861i
$416$	−4.29085	−	3.86350i	−0.210376	−	0.189424i
$417$	−32.3562	+	12.4204i	−1.58449	+	0.608229i
$418$	2.53686	+	9.46769i	0.124082	+	0.463080i
$419$	−22.0863	+	16.0467i	−1.07899	+	0.783930i	−0.977506	−	0.210907i	$-0.932358\pi$
$419$	−22.0863	+	16.0467i	−1.07899	+	0.783930i	−0.101482	+	0.994837i	$0.532358\pi$
$420$	12.4151	+	5.30311i	0.605795	+	0.258765i
$421$	−0.587074	−	0.426534i	−0.0286122	−	0.0207880i	0.573387	−	0.819285i	$-0.305629\pi$
$421$	−0.587074	−	0.426534i	−0.0286122	−	0.0207880i	−0.601999	+	0.798496i	$0.705629\pi$
$422$	−4.96978	+	12.9467i	−0.241925	+	0.630237i
$423$	−9.14392	+	14.0804i	−0.444592	+	0.684612i
$424$	9.90365	−	5.71787i	0.480964	−	0.277684i
$425$	15.4663	−	2.01675i	0.750224	−	0.0978265i
$426$			14.5310i			0.704030i
$427$	−14.8731	−	19.2744i	−0.719761	−	0.932754i
$428$	−0.0437886	−	0.276470i	−0.00211660	−	0.0133637i
$429$	8.65696	+	19.4438i	0.417962	+	0.938758i
$430$	−1.38025	+	8.00296i	−0.0665614	+	0.385937i
$431$	−8.25659	−	3.67607i	−0.397706	−	0.177070i	0.198131	−	0.980176i	$-0.436513\pi$
$431$	−8.25659	−	3.67607i	−0.397706	−	0.177070i	−0.595837	+	0.803105i	$0.703180\pi$
$432$	1.74714	−	0.468144i	0.0840592	−	0.0225236i
$433$	2.61527	−	16.5122i	0.125682	−	0.793525i	−0.841652	−	0.540020i	$-0.818417\pi$
$433$	2.61527	−	16.5122i	0.125682	−	0.793525i	0.967334	−	0.253505i	$-0.0815834\pi$
$434$	7.34159	+	4.47155i	0.352408	+	0.214641i
$435$	−19.0423	−	21.7406i	−0.913008	−	1.04238i
$436$	2.89404	+	3.21416i	0.138599	+	0.153930i
$437$	38.4330	−	2.01419i	1.83850	−	0.0963517i
$438$	11.4029	−	0.597601i	0.544852	−	0.0285545i
$439$	−0.835482	−	0.927897i	−0.0398754	−	0.0442861i	0.722877	−	0.690977i	$-0.242819\pi$
$439$	−0.835482	−	0.927897i	−0.0398754	−	0.0442861i	−0.762753	+	0.646690i	$0.776153\pi$
$440$	−2.37994	−	2.71718i	−0.113459	−	0.129536i
$441$	5.45889	−	14.4551i	0.259947	−	0.688339i
$442$	−2.81760	+	17.7896i	−0.134019	+	0.846166i
$443$	−2.72304	+	0.729636i	−0.129375	+	0.0346660i	−0.322926	−	0.946424i	$-0.604666\pi$
$443$	−2.72304	+	0.729636i	−0.129375	+	0.0346660i	0.193550	+	0.981090i	$0.438000\pi$
$444$	9.18961	+	4.09148i	0.436120	+	0.194173i
$445$	4.81789	−	27.9351i	0.228390	−	1.32425i
$446$	1.05026	+	2.35892i	0.0497312	+	0.111698i
$447$	−0.544071	−	3.43513i	−0.0257337	−	0.162476i
$448$	1.00584	−	2.44710i	0.0475216	−	0.115614i
$449$			11.3224i			0.534338i	0.963650	+	0.267169i	$0.0860881\pi$
$449$			11.3224i			0.534338i	−0.963650	+	0.267169i	$0.913912\pi$
$450$	−9.69283	−	5.27829i	−0.456924	−	0.248821i
$451$	3.25526	−	1.87942i	0.153284	−	0.0884986i
$452$	2.96006	−	4.55809i	0.139229	−	0.214394i
$453$	−8.64697	+	22.5261i	−0.406270	+	1.05837i
$454$	−1.15278	−	0.837545i	−0.0541027	−	0.0393079i
$455$	−33.9136	+	4.08614i	−1.58990	+	0.191561i
$456$	11.2020	−	8.13869i	0.524579	−	0.381129i
$457$	9.62194	+	35.9096i	0.450095	+	1.67978i	0.702121	+	0.712058i	$0.252237\pi$
$457$	9.62194	+	35.9096i	0.450095	+	1.67978i	−0.252026	+	0.967720i	$0.581097\pi$
$458$	−27.9169	+	10.7163i	−1.30447	+	0.500740i
$459$	−4.19308	−	3.77547i	−0.195716	−	0.176224i
$460$	−12.3786	+	6.92231i	−0.577155	+	0.322754i
$461$	−2.58099	−	0.838615i	−0.120209	−	0.0390582i	0.248295	−	0.968684i	$-0.420130\pi$
$461$	−2.58099	−	0.838615i	−0.120209	−	0.0390582i	−0.368504	+	0.929626i	$0.620130\pi$
$462$	−7.05620	+	6.73260i	−0.328284	+	0.313229i
$463$	3.71201	−	7.28524i	0.172512	−	0.338574i	−0.788521	−	0.615008i	$-0.789153\pi$
$463$	3.71201	−	7.28524i	0.172512	−	0.338574i	0.961033	+	0.276434i	$0.0891528\pi$
$464$	−4.20912	+	3.78991i	−0.195404	+	0.175942i
$465$	−13.2776	−	9.92760i	−0.615732	−	0.460382i
$466$	13.6937	−	15.2084i	0.634350	−	0.704517i
$467$	−24.3518	+	30.0720i	−1.12687	+	1.39157i	−0.217251	+	0.976116i	$0.569709\pi$
$467$	−24.3518	+	30.0720i	−1.12687	+	1.39157i	−0.909616	+	0.415449i	$0.863624\pi$
$468$	9.01216	−	9.01216i	0.416587	−	0.416587i
$469$	11.5877	+	38.7329i	0.535072	+	1.78852i
$470$	4.17622	+	16.4866i	0.192635	+	0.760468i
$471$	16.0060	−	7.12633i	0.737517	−	0.328364i
$472$	−9.68294	+	7.84109i	−0.445694	+	0.360916i
$473$	−4.92034	−	3.19530i	−0.226237	−	0.146920i
$474$	−1.70294	+	2.94958i	−0.0782186	+	0.135479i
$475$	30.0742	+	3.99714i	1.37990	+	0.183401i
$476$	−8.11094	+	1.52607i	−0.371765	+	0.0699475i
$477$	11.4600	+	22.4915i	0.524718	+	1.02982i
$478$	−5.81619	−	2.23263i	−0.266026	−	0.102118i
$479$	1.11630	−	10.6209i	0.0510050	−	0.485280i	−0.938966	−	0.344010i	$-0.888215\pi$
$479$	1.11630	−	10.6209i	0.0510050	−	0.485280i	0.989971	−	0.141270i	$-0.0451186\pi$
$480$	−2.37865	+	4.51430i	−0.108570	+	0.206048i
$481$	−25.3129	+	2.66050i	−1.15417	+	0.121308i
$482$	−18.8879	−	18.8879i	−0.860318	−	0.860318i
$483$	20.0972	+	32.5965i	0.914453	+	1.48319i
$484$	−7.97990	+	2.59283i	−0.362723	+	0.117856i
$485$	−6.27968	+	6.78491i	−0.285146	+	0.308087i
$486$	3.97194	+	18.6865i	0.180171	+	0.847638i
$487$	−0.920506	−	17.5643i	−0.0417121	−	0.795915i	−0.936766	−	0.349956i	$-0.886196\pi$
$487$	−0.920506	−	17.5643i	−0.0417121	−	0.795915i	0.895054	−	0.445958i	$-0.147137\pi$
$488$	7.71728	−	5.01166i	0.349345	−	0.226867i
$489$	10.5267	−	32.3979i	0.476034	−	1.46508i
$490$	−6.99043	−	14.0048i	−0.315795	−	0.632672i
$491$	−9.87412	−	30.3894i	−0.445613	−	1.37146i	−0.881810	−	0.471605i	$-0.843675\pi$
$491$	−9.87412	−	30.3894i	−0.445613	−	1.37146i	0.436197	−	0.899851i	$-0.356325\pi$
$492$	−4.12661	−	3.34166i	−0.186042	−	0.150654i
$493$	17.0663	+	4.57289i	0.768626	+	0.205953i
$494$	−14.2499	+	32.0057i	−0.641131	+	1.44000i
$495$	6.26452	−	4.93228i	0.281569	−	0.221690i
$496$	−1.90974	+	2.62853i	−0.0857497	+	0.118024i
$497$	10.9068	−	12.8406i	0.489235	−	0.575981i
$498$	−0.489054	+	0.249186i	−0.0219150	+	0.0111663i
$499$	23.9437	+	13.8239i	1.07187	+	0.618843i	0.928691	−	0.370854i	$-0.120935\pi$
$499$	23.9437	+	13.8239i	1.07187	+	0.618843i	0.143176	+	0.989697i	$0.454268\pi$
$500$	−10.5936	+	3.57419i	−0.473762	+	0.159842i
$501$	23.3344	+	40.4163i	1.04250	+	1.80567i
$502$	−0.428011	+	8.16694i	−0.0191031	+	0.364509i
$503$	31.4408	−	4.97973i	1.40188	−	0.222035i	0.590725	−	0.806873i	$-0.298842\pi$
$503$	31.4408	−	4.97973i	1.40188	−	0.222035i	0.811151	+	0.584837i	$0.198842\pi$
$504$	5.27803	+	2.49992i	0.235102	+	0.111355i
$505$	2.82451	+	1.12889i	0.125689	+	0.0502349i
$506$	−1.07098	−	10.1897i	−0.0476108	−	0.452986i
$507$	−12.0120	+	44.8293i	−0.533470	+	1.99094i
$508$	5.87156	+	15.2959i	0.260508	+	0.678648i
$509$	5.02601	+	1.06831i	0.222774	+	0.0473521i	0.317946	−	0.948109i	$-0.397007\pi$
$509$	5.02601	+	1.06831i	0.222774	+	0.0473521i	−0.0951722	+	0.995461i	$0.530340\pi$
$510$	15.8515	−	1.44668i	0.701915	−	0.0640599i
$511$	−10.5250	−	8.03076i	−0.465597	−	0.355260i
$512$	0.891007	+	0.453990i	0.0393773	+	0.0200637i
$513$	−5.97749	−	9.20453i	−0.263913	−	0.406390i
$514$	25.1451	−	5.34476i	1.10910	−	0.235747i
$515$	27.8709	−	8.63527i	1.22814	−	0.380515i
$516$	−1.72313	+	8.10669i	−0.0758566	+	0.356877i
$517$	−12.1351	−	1.92201i	−0.533700	−	0.0845298i
$518$	−5.04959	−	10.5131i	−0.221866	−	0.461919i
$519$	−7.85630	−	10.8133i	−0.344853	−	0.474650i
$520$	−0.498912	−	12.9012i	−0.0218787	−	0.565756i
$521$	31.4006	+	3.30034i	1.37569	+	0.144590i	0.763338	−	0.645999i	$-0.223559\pi$
$521$	31.4006	+	3.30034i	1.37569	+	0.144590i	0.612347	+	0.790589i	$0.290226\pi$
$522$	−7.86799	−	9.71615i	−0.344372	−	0.425265i
$523$	−11.2266	−	0.588360i	−0.490904	−	0.0257272i	−0.194722	−	0.980859i	$-0.562380\pi$
$523$	−11.2266	−	0.588360i	−0.490904	−	0.0257272i	−0.296183	+	0.955131i	$0.595714\pi$
$524$	−1.46149			−0.0638453
$525$	10.8600	+	28.1665i	0.473969	+	1.22928i
$526$	−4.38904			−0.191371
$527$	10.1213	+	0.530434i	0.440890	+	0.0231061i
$528$	−2.31982	−	2.86474i	−0.100957	−	0.124672i
$529$	−17.1352	−	1.80099i	−0.745010	−	0.0783037i
$530$	24.6068	+	6.95623i	1.06885	+	0.302159i
$531$	−16.1658	−	22.2503i	−0.701536	−	0.965582i
$532$	−16.0076	−	1.21609i	−0.694018	−	0.0527240i
$533$	13.2700	+	2.10177i	0.574788	+	0.0910376i
$534$	6.01476	−	28.2972i	0.260284	−	1.22454i
$535$	0.374808	−	0.501283i	0.0162044	−	0.0216724i
$536$	−14.9468	+	3.17705i	−0.645605	+	0.137228i
$537$	13.7111	+	21.1132i	0.591678	+	0.911103i
$538$	4.75839	+	2.42452i	0.205149	+	0.104529i
$539$	11.2887	−	0.653130i	0.486240	−	0.0281323i
$540$	3.47462	+	2.07009i	0.149524	+	0.0890824i
$541$	37.9819	+	8.07331i	1.63297	+	0.347099i	0.930975	−	0.365083i	$-0.118959\pi$
$541$	37.9819	+	8.07331i	1.63297	+	0.347099i	0.701995	+	0.712182i	$0.252293\pi$
$542$	−9.81097	−	25.5585i	−0.421417	−	1.09783i
$543$	−5.24713	+	19.5826i	−0.225176	+	0.840369i
$544$	−0.326070	−	3.10235i	−0.0139801	−	0.133012i
$545$	−0.638483	+	9.65006i	−0.0273496	+	0.413363i
$546$	−34.7450	+	2.82947i	−1.48695	+	0.121090i
$547$	−2.68860	+	0.425832i	−0.114956	+	0.0182072i	−0.213647	−	0.976911i	$-0.568534\pi$
$547$	−2.68860	+	0.425832i	−0.114956	+	0.0182072i	0.0986913	+	0.995118i	$0.468534\pi$
$548$	0.691966	−	13.2035i	0.0295593	−	0.564025i
$549$	10.1559	+	17.5905i	0.433442	+	0.750743i
$550$	0.643647	−	8.05118i	0.0274452	−	0.343303i
$551$	29.7629	+	17.1836i	1.26794	+	0.732048i
$552$	−12.8962	+	6.57096i	−0.548900	+	0.279679i
$553$	3.71874	−	1.32825i	0.158137	−	0.0564831i
$554$	−8.45220	+	11.6335i	−0.359100	+	0.494258i
$555$	7.77226	+	21.1078i	0.329914	+	0.895975i
$556$	−6.17746	+	13.8748i	−0.261983	+	0.588423i
$557$	7.59138	+	2.03410i	0.321657	+	0.0861878i	0.416035	−	0.909349i	$-0.363419\pi$
$557$	7.59138	+	2.03410i	0.321657	+	0.0861878i	−0.0943777	+	0.995536i	$0.530086\pi$
$558$	−5.57354	−	4.51336i	−0.235947	−	0.191066i
$559$	−6.48011	−	19.9437i	−0.274080	−	0.843530i
$560$	5.49030	−	2.20378i	0.232007	−	0.0931265i
$561$	−3.55337	+	10.9362i	−0.150024	+	0.461725i
$562$	−15.9488	+	10.3573i	−0.672760	+	0.436895i
$563$	0.153627	+	2.93139i	0.00647463	+	0.123543i	0.999955	+	0.00953588i	$0.00303541\pi$
$563$	0.153627	+	2.93139i	0.00647463	+	0.123543i	−0.993480	+	0.114007i	$0.963631\pi$
$564$	3.60859	+	16.9771i	0.151949	+	0.714864i
$565$	11.9207	−	2.36353i	0.501510	−	0.0994346i
$566$	23.6645	−	7.68905i	0.994691	−	0.323195i
$567$	13.5029	−	25.0311i	0.567067	−	1.05121i
$568$	4.50269	+	4.50269i	0.188929	+	0.188929i
$569$	23.9279	−	2.51492i	1.00311	−	0.105431i	0.411292	−	0.911504i	$-0.365078\pi$
$569$	23.9279	−	2.51492i	1.00311	−	0.105431i	0.591817	+	0.806073i	$0.298411\pi$
$570$	30.5110	+	5.26214i	1.27796	+	0.220407i
$571$	−2.41911	+	23.0163i	−0.101237	+	0.963201i	0.819517	+	0.573055i	$0.194242\pi$
$571$	−2.41911	+	23.0163i	−0.101237	+	0.963201i	−0.920753	+	0.390146i	$0.872425\pi$
$572$	8.70752	+	3.34251i	0.364080	+	0.139757i
$573$	1.09392	+	2.14693i	0.0456990	+	0.0896894i
$574$	1.13836	+	6.05030i	0.0475144	+	0.252534i
$575$	−30.3963	−	9.04464i	−1.26761	−	0.377188i
$576$	−1.10368	+	1.91163i	−0.0459867	+	0.0796514i
$577$	18.4861	+	12.0050i	0.769587	+	0.499776i	0.868723	−	0.495298i	$-0.164941\pi$
$577$	18.4861	+	12.0050i	0.769587	+	0.499776i	−0.0991360	+	0.995074i	$0.531608\pi$
$578$	5.64915	−	4.57459i	0.234974	−	0.190278i
$579$	14.7366	−	6.56117i	0.612434	−	0.272673i
$580$	−12.6373	−	0.836130i	−0.524736	−	0.0347184i
$581$	0.619198	+	0.146879i	0.0256886	+	0.00609355i
$582$	−6.67136	+	6.67136i	−0.276537	+	0.276537i
$583$	−11.6254	+	14.3562i	−0.481476	+	0.594574i
$584$	3.34821	−	3.71857i	0.138550	−	0.153875i
$585$	28.4963	+	0.390635i	1.17818	+	0.0161508i
$586$	−16.4272	+	14.7911i	−0.678600	+	0.611015i
$587$	−0.456991	+	0.896894i	−0.0188620	+	0.0370188i	−0.900245	−	0.435383i	$-0.856613\pi$
$587$	−0.456991	+	0.896894i	−0.0188620	+	0.0370188i	0.881383	+	0.472402i	$0.156613\pi$
$588$	−6.57629	−	14.5572i	−0.271202	−	0.600330i
$589$	18.7494	+	6.09206i	0.772557	+	0.251019i
$590$	−27.6654	−	3.29174i	−1.13897	−	0.135519i
$591$	−1.55716	−	1.40207i	−0.0640530	−	0.0576736i
$592$	4.11538	−	1.57975i	0.169141	−	0.0649272i
$593$	−9.59721	−	35.8173i	−0.394110	−	1.47084i	−0.823290	−	0.567620i	$-0.807864\pi$
$593$	−9.59721	−	35.8173i	−0.394110	−	1.47084i	0.429180	−	0.903219i	$-0.358803\pi$
$594$	−2.36382	+	1.71741i	−0.0969886	+	0.0704663i
$595$	−15.0933	−	10.6195i	−0.618766	−	0.435356i
$596$	−1.23303	−	0.895845i	−0.0505067	−	0.0366952i
$597$	0.526051	−	1.37041i	0.0215298	−	0.0560871i
$598$	19.9458	−	30.7139i	0.815645	−	1.25598i
$599$	−30.2670	+	17.4747i	−1.23668	+	0.713995i	−0.968413	−	0.249350i	$-0.919783\pi$
$599$	−30.2670	+	17.4747i	−1.23668	+	0.713995i	−0.268263	+	0.963346i	$0.586450\pi$
$600$	−10.9440	+	3.22705i	−0.446785	+	0.131744i
$601$			17.0781i			0.696629i	0.937378	+	0.348315i	$0.113246\pi$
$601$			17.0781i			0.696629i	−0.937378	+	0.348315i	$0.886754\pi$
$602$	7.60744	−	5.87029i	0.310056	−	0.239255i
$603$	−5.27657	−	33.3149i	−0.214878	−	1.35669i
$604$	4.30070	+	9.65953i	0.174993	+	0.393041i
$605$	−16.5986	−	8.74605i	−0.674831	−	0.355578i
$606$	2.83582	+	1.26259i	0.115197	+	0.0512891i
$607$	21.3493	−	5.72052i	0.866540	−	0.232189i	0.201949	−	0.979396i	$-0.435273\pi$
$607$	21.3493	−	5.72052i	0.866540	−	0.232189i	0.664591	+	0.747207i	$0.268606\pi$
$608$	0.949204	−	5.99304i	0.0384953	−	0.243050i
$609$	−0.802293	+	34.1866i	−0.0325106	+	1.38531i
$610$	20.0657	+	4.55343i	0.812436	+	0.184363i
$611$	−29.3853	−	32.6357i	−1.18880	−	1.32030i
$612$	6.87630	−	0.360372i	0.277958	−	0.0145672i
$613$	42.5389	−	2.22937i	1.71813	−	0.0900433i	0.832379	−	0.554207i	$-0.186978\pi$
$613$	42.5389	−	2.22937i	1.71813	−	0.0900433i	0.885750	+	0.464163i	$0.153645\pi$
$614$	−18.7952	−	20.8742i	−0.758514	−	0.842416i
$615$	−1.07914	−	11.8243i	−0.0435150	−	0.476801i
$616$	−0.100272	+	4.27270i	−0.00404007	+	0.172152i
$617$	−5.71312	+	36.0712i	−0.230001	+	1.45217i	0.554572	+	0.832136i	$0.312882\pi$
$617$	−5.71312	+	36.0712i	−0.230001	+	1.45217i	−0.784573	+	0.620036i	$0.787118\pi$
$618$	28.7622	−	7.70681i	1.15699	−	0.310013i
$619$	−4.15753	−	1.85105i	−0.167105	−	0.0744001i	0.321479	−	0.946917i	$-0.395820\pi$
$619$	−4.15753	−	1.85105i	−0.167105	−	0.0744001i	−0.488585	+	0.872517i	$0.662487\pi$
$620$	−7.19053	+	1.03804i	−0.288779	+	0.0416889i
$621$	4.66627	+	10.4806i	0.187251	+	0.420572i
$622$	−4.09038	−	25.8256i	−0.164009	−	1.03551i
$623$	−26.5545	+	20.4908i	−1.06388	+	0.820948i
$624$		−	13.1759i		−	0.527457i
$625$	−22.2471	−	11.4047i	−0.889883	−	0.456190i
$626$	2.34236	−	1.35236i	0.0936197	−	0.0540513i
$627$	−12.1820	+	18.7586i	−0.486501	+	0.749146i
$628$	2.75152	−	7.16796i	0.109798	−	0.286033i
$629$	−11.1248	−	8.08264i	−0.443575	−	0.322276i
$630$	4.22360	+	12.3571i	0.168272	+	0.492317i
$631$	37.6680	−	27.3674i	1.49954	−	1.08948i	0.528972	−	0.848639i	$-0.322578\pi$
$631$	37.6680	−	27.3674i	1.49954	−	1.08948i	0.970565	−	0.240839i	$-0.0774224\pi$
$632$	0.386292	+	1.44166i	0.0153659	+	0.0573463i
$633$	−29.5440	+	11.3409i	−1.17427	+	0.450759i
$634$	4.18822	+	3.77109i	0.166336	+	0.149769i
$635$	−15.3586	+	33.2614i	−0.609488	+	1.31994i
$636$	24.8187	+	8.06410i	0.984127	+	0.319762i
$637$	32.8269	+	23.5788i	1.30065	+	0.934224i
$638$	4.15373	−	8.15214i	0.164448	−	0.322747i
$639$	−10.4456	+	9.40528i	−0.413222	+	0.372067i
$640$	0.661768	+	2.13590i	0.0261587	+	0.0844288i
$641$	25.9126	−	28.7789i	1.02349	−	1.13670i	0.0329505	−	0.999457i	$-0.489510\pi$
$641$	25.9126	−	28.7789i	1.02349	−	1.13670i	0.990538	−	0.137242i	$-0.0438237\pi$
$642$	0.401984	−	0.496409i	0.0158651	−	0.0195917i
$643$	33.0367	−	33.0367i	1.30284	−	1.30284i	0.376371	−	0.926469i	$-0.377172\pi$
$643$	33.0367	−	33.0367i	1.30284	−	1.30284i	0.926469	−	0.376371i	$-0.122828\pi$
$644$	16.3281	+	3.87315i	0.643416	+	0.152623i
$645$	−15.6792	+	9.87931i	−0.617368	+	0.388997i
$646$	−17.2915	+	7.69869i	−0.680327	+	0.302901i
$647$	0.200687	−	0.162513i	0.00788980	−	0.00638904i	−0.625367	−	0.780330i	$-0.715051\pi$
$647$	0.200687	−	0.162513i	0.00788980	−	0.00638904i	0.633257	+	0.773941i	$0.281718\pi$
$648$	9.01540	+	5.85467i	0.354159	+	0.229993i
$649$	10.0635	−	17.4304i	0.395026	−	0.684205i
$650$	19.8983	−	20.9167i	0.780477	−	0.820420i
$651$	3.62713	+	19.2779i	0.142158	+	0.755559i
$652$	−6.77717	−	13.3009i	−0.265414	−	0.520905i
$653$	5.06423	+	1.94398i	0.198179	+	0.0760737i	0.455433	−	0.890270i	$-0.349484\pi$
$653$	5.06423	+	1.94398i	0.198179	+	0.0760737i	−0.257254	+	0.966344i	$0.582818\pi$
$654$	−1.03166	+	9.81560i	−0.0403412	+	0.383820i
$655$	−2.27892	−	2.34227i	−0.0890448	−	0.0915201i
$656$	−2.31417	+	0.243230i	−0.0903533	+	0.00949652i
$657$	7.81018	+	7.81018i	0.304704	+	0.304704i
$658$	9.55393	−	17.7107i	0.372451	−	0.690435i
$659$	−22.6961	+	7.37442i	−0.884116	+	0.287267i	−0.715665	−	0.698444i	$-0.753876\pi$
$659$	−22.6961	+	7.37442i	−0.884116	+	0.287267i	−0.168450	+	0.985710i	$0.553876\pi$
$660$	0.973874	−	8.18492i	0.0379080	−	0.318597i
$661$	−2.29631	−	10.8033i	−0.0893160	−	0.420199i	−0.999975	−	0.00704047i	$-0.997759\pi$
$661$	−2.29631	−	10.8033i	−0.0893160	−	0.420199i	0.910659	−	0.413158i	$-0.135574\pi$
$662$	0.637017	+	12.1550i	0.0247584	+	0.472418i
$663$	−34.4704	+	22.3854i	−1.33872	+	0.869376i
$664$	−0.0743275	+	0.228757i	−0.00288447	+	0.00887748i
$665$	−23.0120	−	27.5511i	−0.892366	−	1.06838i
$666$	3.00687	+	9.25419i	0.116514	+	0.358592i
$667$	−27.9186	−	22.6080i	−1.08101	−	0.875387i
$668$	19.7543	+	5.29314i	0.764315	+	0.204798i
$669$	−2.39666	+	5.38298i	−0.0926600	+	0.208118i
$670$	−28.3986	−	19.0007i	−1.09713	−	0.734062i
$671$	−8.73705	+	12.0255i	−0.337290	+	0.464240i
$672$	5.68571	−	2.03081i	0.219331	−	0.0783403i
$673$	−20.3132	+	10.3501i	−0.783016	+	0.398967i	−0.799324	−	0.600901i	$-0.794809\pi$
$673$	−20.3132	+	10.3501i	−0.783016	+	0.398967i	0.0163080	+	0.999867i	$0.494809\pi$
$674$	−26.8330	−	15.4920i	−1.03357	−	0.596731i
$675$	2.10038	+	8.79657i	0.0808438	+	0.338580i
$676$	10.1690	+	17.6133i	0.391116	+	0.677433i
$677$	0.746439	−	14.2429i	0.0286880	−	0.547400i	−0.946046	−	0.324032i	$-0.894962\pi$
$677$	0.746439	−	14.2429i	0.0286880	−	0.547400i	0.974734	−	0.223368i	$-0.0717051\pi$
$678$	12.2496	−	1.94014i	0.470441	−	0.0745106i
$679$	10.9027	−	0.887865i	0.418407	−	0.0340731i
$680$	4.46358	−	5.36013i	0.171170	−	0.205552i
$681$	−0.339886	−	3.23380i	−0.0130245	−	0.123919i
$682$	1.35839	−	5.06958i	0.0520154	−	0.194124i
$683$	14.8575	+	38.7051i	0.568507	+	1.48101i	0.852782	+	0.522268i	$0.174914\pi$
$683$	14.8575	+	38.7051i	0.568507	+	1.48101i	−0.284275	+	0.958743i	$0.591753\pi$
$684$	13.1010	+	2.78471i	0.500930	+	0.106476i
$685$	22.2398	−	19.4795i	0.849737	−	0.744272i
$686$	−5.11516	+	17.7999i	−0.195298	+	0.679602i
$687$	−60.8003	−	30.9793i	−2.31968	−	1.18193i
$688$	1.97806	+	3.04594i	0.0754128	+	0.116125i
$689$	−64.5861	+	13.7282i	−2.46053	+	0.523003i
$690$	−30.6403	−	10.4221i	−1.16646	−	0.396763i
$691$	3.89665	−	18.3323i	0.148235	−	0.697393i	−0.839766	−	0.542948i	$-0.817308\pi$
$691$	3.89665	−	18.3323i	0.148235	−	0.697393i	0.988001	−	0.154444i	$-0.0493587\pi$
$692$	−5.78509	−	0.916269i	−0.219916	−	0.0348313i
$693$	−9.40689	−	0.714634i	−0.357338	−	0.0271467i
$694$	−4.64225	−	6.38950i	−0.176217	−	0.242542i
$695$	−31.8693	+	11.7348i	−1.20887	+	0.445128i
$696$	−12.8541	−	1.35102i	−0.487233	−	0.0512103i
$697$	4.56804	+	5.64106i	0.173027	+	0.213670i
$698$	−8.16917	−	0.428128i	−0.309208	−	0.0162049i
$699$	46.7003			1.76637
$700$	12.0930	+	5.36271i	0.457073	+	0.202691i
$701$	−24.8376			−0.938104			−0.469052	−	0.883171i	$-0.655404\pi$
$701$	−24.8376			−0.938104			−0.469052	+	0.883171i	$0.655404\pi$
$702$	−10.4294	−	0.546580i	−0.393631	−	0.0206293i
$703$	−16.8328	−	20.7868i	−0.634862	−	0.783989i
$704$	−1.60652	−	0.168853i	−0.0605482	−	0.00636387i
$705$	−21.5816	+	32.2560i	−0.812810	+	1.21483i
$706$	−12.9009	−	17.7566i	−0.485533	−	0.668279i
$707$	−1.55825	−	3.24423i	−0.0586040	−	0.122012i
$708$	−28.0824	−	4.44781i	−1.05540	−	0.167159i
$709$	4.07359	−	19.1647i	0.152987	−	0.719746i	−0.833047	−	0.553202i	$-0.813406\pi$
$709$	4.07359	−	19.1647i	0.152987	−	0.719746i	0.986034	−	0.166544i	$-0.0532609\pi$
$710$	−0.195170	+	14.2374i	−0.00732462	+	0.534321i
$711$	−3.22254	+	0.684972i	−0.120855	+	0.0256884i
$712$	−6.90461	−	10.6322i	−0.258761	−	0.398457i
$713$	−18.3615	−	9.35566i	−0.687644	−	0.350372i
$714$	−14.9728	−	11.4246i	−0.560344	−	0.427554i
$715$	8.22089	+	19.1673i	0.307444	+	0.716815i
$716$	10.7909	+	2.29368i	0.403276	+	0.0857190i
$717$	−5.09477	−	13.2723i	−0.190268	−	0.495664i
$718$	−1.05474	+	3.93636i	−0.0393627	+	0.146904i
$719$	1.86619	+	17.7556i	0.0695972	+	0.662173i	0.972591	+	0.232521i	$0.0746973\pi$
$719$	1.86619	+	17.7556i	0.0695972	+	0.662173i	−0.902994	+	0.429653i	$0.858636\pi$
$720$	−4.78469	+	1.21201i	−0.178315	+	0.0451690i
$721$	−31.2009	−	14.7782i	−1.16198	−	0.550368i
$722$	−17.5981	+	2.78727i	−0.654935	+	0.103731i
$723$	3.19012	−	60.8711i	0.118642	−	2.26382i
$724$	4.44209	+	7.69392i	0.165089	+	0.285942i
$725$	−18.3655	−	21.5571i	−0.682079	−	0.800612i
$726$	−16.5818	−	9.57349i	−0.615407	−	0.355306i
$727$	21.0952	−	10.7485i	0.782378	−	0.398642i	−0.0167063	−	0.999860i	$-0.505318\pi$
$727$	21.0952	−	10.7485i	0.782378	−	0.398642i	0.799084	+	0.601219i	$0.205318\pi$
$728$	−9.88959	+	11.6431i	−0.366533	+	0.431523i
$729$	−6.66884	+	9.17887i	−0.246994	+	0.339958i
$730$	11.1805	−	0.432370i	0.413810	−	0.0160027i
$731$	4.60808	−	10.3499i	0.170436	−	0.382806i
$732$	20.2827	+	5.43473i	0.749670	+	0.200873i
$733$	−0.654977	−	0.530390i	−0.0241921	−	0.0195904i	0.617148	−	0.786847i	$-0.288288\pi$
$733$	−0.654977	−	0.530390i	−0.0241921	−	0.0195904i	−0.641340	+	0.767257i	$0.721621\pi$
$734$	6.09554	+	18.7601i	0.224990	+	0.692449i
$735$	13.0758	−	33.2389i	0.482309	−	1.22604i
$736$	−1.96000	+	6.03225i	−0.0722464	+	0.222352i
$737$	20.7019	−	13.4439i	0.762563	−	0.495214i
$738$	−0.268816	−	5.12932i	−0.00989527	−	0.188813i
$739$	−6.15869	−	28.9744i	−0.226551	−	1.06584i	−0.933501	−	0.358575i	$-0.883263\pi$
$739$	−6.15869	−	28.9744i	−0.226551	−	1.06584i	0.706950	−	0.707264i	$-0.250071\pi$
$740$	8.94898	+	4.13224i	0.328971	+	0.151904i
$741$	−76.0348	+	24.7052i	−2.79321	+	0.907568i
$742$	−15.8788	−	25.7546i	−0.582929	−	0.945480i
$743$	10.3402	+	10.3402i	0.379344	+	0.379344i	0.870865	−	0.491522i	$-0.163559\pi$
$743$	10.3402	+	10.3402i	0.379344	+	0.379344i	−0.491522	+	0.870865i	$0.663559\pi$
$744$	−7.37357	+	0.774994i	−0.270328	+	0.0284127i
$745$	−0.486940	−	3.37303i	−0.0178401	−	0.123578i
$746$	1.69886	−	16.1636i	0.0621997	−	0.591791i
$747$	−0.495670	−	0.190270i	−0.0181356	−	0.00696161i
$748$	2.28769	+	4.48984i	0.0836461	+	0.164165i
$749$	−0.727819	+	0.136939i	−0.0265939	+	0.00500365i
$750$	−22.2370	−	12.5075i	−0.811980	−	0.456708i
$751$	15.2936	−	26.4893i	0.558071	−	0.966607i	−0.439587	−	0.898200i	$-0.644875\pi$
$751$	15.2936	−	26.4893i	0.558071	−	0.966607i	0.997658	−	0.0684065i	$-0.0217915\pi$
$752$	6.37883	+	4.14246i	0.232612	+	0.151060i
$753$	−14.5033	+	11.7445i	−0.528529	+	0.427995i
$754$	29.8757	−	13.3015i	1.08801	−	0.484413i
$755$	−8.77481	+	21.9548i	−0.319348	+	0.799018i
$756$	−1.37163	−	4.58478i	−0.0498857	−	0.166747i
$757$	25.1324	−	25.1324i	0.913451	−	0.913451i	−0.0830911	−	0.996542i	$-0.526479\pi$
$757$	25.1324	−	25.1324i	0.913451	−	0.913451i	0.996542	+	0.0830911i	$0.0264792\pi$
$758$	−0.876945	+	1.08294i	−0.0318521	+	0.0393341i
$759$	15.6446	−	17.3751i	0.567865	−	0.630678i
$760$	11.0849	−	7.82380i	0.402093	−	0.283799i
$761$	−21.0743	+	18.9754i	−0.763942	+	0.687856i	−0.955948	−	0.293538i	$-0.905167\pi$
$761$	−21.0743	+	18.9754i	−0.763942	+	0.687856i	0.192006	+	0.981394i	$0.438501\pi$
$762$	−16.9738	+	33.3130i	−0.614898	+	1.20680i
$763$	8.27909	−	7.89941i	0.299723	−	0.285978i
$764$	1.00423	+	0.326295i	0.0363319	+	0.0118050i
$765$	11.2999	+	10.4585i	0.408548	+	0.378126i
$766$	25.1307	+	22.6278i	0.908010	+	0.817576i
$767$	67.1625	−	25.7812i	2.42510	−	0.930907i
$768$	0.590616	+	2.20421i	0.0213120	+	0.0795375i
$769$	2.70114	−	1.96249i	0.0974056	−	0.0707693i	−0.538016	−	0.842934i	$-0.680826\pi$
$769$	2.70114	−	1.96249i	0.0974056	−	0.0707693i	0.635422	+	0.772165i	$0.280826\pi$
$770$	−7.00405	+	6.50179i	−0.252409	+	0.234308i
$771$	47.4587	+	34.4808i	1.70918	+	1.24179i
$772$	2.53331	−	6.59950i	0.0911759	−	0.237521i
$773$	−26.3766	+	40.6165i	−0.948702	+	1.46087i	−0.0622452	+	0.998061i	$0.519826\pi$
$773$	−26.3766	+	40.6165i	−0.948702	+	1.46087i	−0.886457	+	0.462812i	$0.846841\pi$
$774$	−6.94280	+	4.00843i	−0.249554	+	0.144080i
$775$	−12.8760	−	9.90535i	−0.462518	−	0.355811i
$776$			4.13448i			0.148419i
$777$	10.1180	−	24.6160i	0.362983	−	0.883095i
$778$	0.195433	+	1.23392i	0.00700663	+	0.0442381i
$779$	5.74278	+	12.8985i	0.205756	+	0.462136i
$780$	21.1165	−	20.5453i	0.756091	−	0.735642i
$781$	−9.39702	−	4.18382i	−0.336252	−	0.149709i
$782$	19.1114	−	5.12089i	0.683424	−	0.183123i
$783$	−1.60263	+	10.1186i	−0.0572734	+	0.361610i
$784$	−6.54859	−	2.47304i	−0.233878	−	0.0883228i
$785$	15.7783	−	6.76736i	0.563152	−	0.241537i
$786$	−2.23159	−	2.47843i	−0.0795982	−	0.0884028i
$787$	12.8220	−	0.671971i	0.457054	−	0.0239532i	0.177580	−	0.984106i	$-0.443173\pi$
$787$	12.8220	−	0.671971i	0.457054	−	0.0239532i	0.279474	+	0.960153i	$0.409840\pi$
$788$	−0.916971	+	0.0480564i	−0.0326657	+	0.00171194i
$789$	−6.70177	−	7.44307i	−0.238589	−	0.264980i
$790$	−1.70815	+	2.86711i	−0.0607732	+	0.102007i
$791$	−12.2808	−	7.47988i	−0.436655	−	0.265954i
$792$	0.557801	−	3.52182i	0.0198206	−	0.125142i
$793$	−51.3200	+	13.7512i	−1.82243	+	0.488318i
$794$	−19.6235	−	8.73693i	−0.696410	−	0.310062i
$795$	25.7763	+	52.3506i	0.914190	+	1.85668i
$796$	−0.261639	−	0.587651i	−0.00927355	−	0.0208287i
$797$	−0.534036	−	3.37177i	−0.0189165	−	0.119434i	0.976423	−	0.215865i	$-0.0692572\pi$
$797$	−0.534036	−	3.37177i	−0.0189165	−	0.119434i	−0.995340	+	0.0964312i	$0.969257\pi$
$798$	−22.3803	−	29.0031i	−0.792253	−	1.02670i
$799$		−	23.7261i		−	0.839369i
$800$	−2.39122	+	4.39114i	−0.0845423	+	0.155250i
$801$	24.2346	−	13.9918i	0.856286	−	0.494377i
$802$	13.3378	−	20.5383i	0.470973	−	0.725234i
$803$	−2.89670	+	7.54617i	−0.102222	+	0.266299i
$804$	−28.2106	−	20.4962i	−0.994910	−	0.722844i
$805$	19.2533	+	32.2079i	0.678590	+	1.13518i
$806$	15.1769	−	11.0266i	0.534583	−	0.388397i
$807$	3.15416	+	11.7715i	0.111032	+	0.414376i
$808$	1.26996	−	0.487493i	0.0446771	−	0.0171499i
$809$	24.4309	+	21.9976i	0.858943	+	0.773396i	0.975549	−	0.219782i	$-0.0705348\pi$
$809$	24.4309	+	21.9976i	0.858943	+	0.773396i	−0.116606	+	0.993178i	$0.537201\pi$
$810$	4.67481	+	23.5779i	0.164256	+	0.828445i
$811$	20.2920	+	6.59328i	0.712549	+	0.231521i	0.642790	−	0.766043i	$-0.277777\pi$
$811$	20.2920	+	6.59328i	0.712549	+	0.231521i	0.0697594	+	0.997564i	$0.477777\pi$
$812$	10.3447	+	10.8419i	0.363029	+	0.380477i
$813$	28.3621	−	55.6638i	0.994703	−	1.95221i
$814$	−5.29181	+	4.76477i	−0.185478	+	0.167005i
$815$	10.7492	−	31.6019i	0.376527	−	1.10697i
$816$	4.76317	−	5.29004i	0.166744	−	0.185188i
$817$	13.8685	−	17.1262i	0.485197	−	0.599169i
$818$	−0.593953	+	0.593953i	−0.0207671	+	0.0207671i
$819$	−24.5229	−	23.1451i	−0.856899	−	0.808754i
$820$	−3.99835	−	3.32957i	−0.139628	−	0.116274i
$821$	−11.5413	+	5.13854i	−0.402796	+	0.179336i	−0.598127	−	0.801401i	$-0.704088\pi$
$821$	−11.5413	+	5.13854i	−0.402796	+	0.179336i	0.195332	+	0.980737i	$0.437422\pi$
$822$	23.4475	−	18.9874i	0.817825	−	0.662261i
$823$	−17.4372	−	11.3239i	−0.607823	−	0.394725i	0.203710	−	0.979031i	$-0.434700\pi$
$823$	−17.4372	−	11.3239i	−0.607823	−	0.394725i	−0.811533	+	0.584306i	$0.801367\pi$
$824$	6.52439	−	11.3006i	0.227288	−	0.393674i
$825$	14.6362	−	11.2021i	0.509569	−	0.390007i
$826$	21.4771	+	25.0086i	0.747284	+	0.870160i
$827$	−19.2486	−	37.7776i	−0.669340	−	1.31365i	−0.936726	−	0.350065i	$-0.886160\pi$
$827$	−19.2486	−	37.7776i	−0.669340	−	1.31365i	0.267385	−	0.963590i	$-0.413840\pi$
$828$	−13.0707	−	5.01737i	−0.454238	−	0.174366i
$829$	1.90523	−	18.1271i	0.0661715	−	0.629580i	−0.910302	−	0.413944i	$-0.864151\pi$
$829$	1.90523	−	18.1271i	0.0661715	−	0.629580i	0.976474	−	0.215636i	$-0.0691824\pi$
$830$	−0.482520	+	0.237582i	−0.0167485	+	0.00824660i
$831$	−32.6343	+	3.43001i	−1.13207	+	0.118986i
$832$	−4.08277	−	4.08277i	−0.141545	−	0.141545i
$833$	4.65594	+	21.3339i	0.161319	+	0.739177i
$834$	−32.9619	+	10.7100i	−1.14138	+	0.370856i
$835$	22.3200	+	39.9131i	0.772417	+	1.38125i
$836$	2.03788	+	9.58748i	0.0704816	+	0.331590i
$837$	0.307566	+	5.86871i	0.0106310	+	0.202852i
$838$	−22.8959	+	14.8688i	−0.790925	+	0.513633i
$839$	−8.31081	+	25.5780i	−0.286921	+	0.883052i	0.698895	+	0.715224i	$0.253675\pi$
$839$	−8.31081	+	25.5780i	−0.286921	+	0.883052i	−0.985816	+	0.167828i	$0.946325\pi$
$840$	12.1205	+	5.94560i	0.418198	+	0.205143i
$841$	−0.951812	−	2.92938i	−0.0328211	−	0.101013i
$842$	−0.563947	−	0.456675i	−0.0194349	−	0.0157381i
$843$	−41.9169	−	11.2316i	−1.44370	−	0.386837i
$844$	−5.64055	+	12.6689i	−0.194156	+	0.436081i
$845$	−12.3714	+	43.7622i	−0.425589	+	1.50546i
$846$	−9.86830	+	13.5825i	−0.339279	+	0.466978i
$847$	7.46711	+	20.9058i	0.256573	+	0.718333i
$848$	10.1893	−	5.19172i	0.349903	−	0.178284i
$849$	49.1733	+	28.3902i	1.68762	+	0.974350i
$850$	15.5506	−	1.20454i	0.533382	−	0.0413154i
$851$	13.9798	+	24.2137i	0.479221	+	0.830036i
$852$	−0.760494	+	14.5111i	−0.0260541	+	0.497142i
$853$	−36.5673	+	5.79168i	−1.25204	+	0.198303i	−0.747018	−	0.664804i	$-0.768515\pi$
$853$	−36.5673	+	5.79168i	−1.25204	+	0.198303i	−0.505021	+	0.863107i	$0.668515\pi$
$854$	−13.8440	−	20.0264i	−0.473732	−	0.685289i
$855$	15.9657	+	25.3388i	0.546016	+	0.866568i
$856$	−0.0292592	−	0.278383i	−0.00100006	−	0.00951494i
$857$	−4.66621	+	17.4145i	−0.159395	+	0.594869i	0.839294	+	0.543678i	$0.182969\pi$
$857$	−4.66621	+	17.4145i	−0.159395	+	0.594869i	−0.998689	+	0.0511917i	$0.983698\pi$
$858$	7.62748	+	19.8703i	0.260398	+	0.678360i
$859$	−27.0376	−	5.74701i	−0.922510	−	0.196085i	−0.277911	−	0.960607i	$-0.589642\pi$
$859$	−27.0376	−	5.74701i	−0.922510	−	0.196085i	−0.644598	+	0.764521i	$0.722975\pi$
$860$	−1.79720	+	7.91975i	−0.0612840	+	0.270061i
$861$	−8.52207	+	11.1689i	−0.290431	+	0.380634i
$862$	−8.05289	−	4.10315i	−0.274282	−	0.139754i
$863$	−15.4876	−	23.8488i	−0.527204	−	0.811824i	0.470294	−	0.882510i	$-0.344148\pi$
$863$	−15.4876	−	23.8488i	−0.527204	−	0.811824i	−0.997499	+	0.0706860i	$0.977481\pi$
$864$	1.76924	−	0.376064i	0.0601909	−	0.0127940i
$865$	−7.55233	−	10.7003i	−0.256787	−	0.363821i
$866$	3.47587	−	16.3527i	0.118115	−	0.555687i
$867$	16.3836	+	2.59491i	0.556416	+	0.0881277i
$868$	7.09751	+	4.84965i	0.240905	+	0.164608i
$869$	−1.41714	−	1.95052i	−0.0480731	−	0.0661669i
$870$	−17.8784	−	22.7074i	−0.606134	−	0.769854i
$871$	87.7464	+	9.22252i	2.97317	+	0.312493i
$872$	2.72186	+	3.36122i	0.0921738	+	0.113825i
$873$	−9.11378	−	0.477633i	−0.308455	−	0.0161654i
$874$	38.4858			1.30180
$875$	10.2623	+	27.7432i	0.346927	+	0.937892i
$876$	11.4185			0.385797
$877$	−1.06612	−	0.0558728i	−0.0360002	−	0.00188669i	0.0343274	−	0.999411i	$-0.489071\pi$
$877$	−1.06612	−	0.0558728i	−0.0360002	−	0.00188669i	−0.0703276	+	0.997524i	$0.522404\pi$
$878$	−0.785775	−	0.970351i	−0.0265186	−	0.0327478i
$879$	−50.1664	−	5.27270i	−1.69207	−	0.177844i
$880$	−2.23447	−	2.83801i	−0.0753239	−	0.0956694i
$881$	−23.9350	−	32.9437i	−0.806391	−	1.10990i	−0.991870	−	0.127253i	$-0.959384\pi$
$881$	−23.9350	−	32.9437i	−0.806391	−	1.10990i	0.185480	−	0.982648i	$-0.440616\pi$
$882$	6.20793	−	14.1496i	0.209032	−	0.476442i
$883$	−14.0364	−	2.22315i	−0.472363	−	0.0748150i	−0.0842856	−	0.996442i	$-0.526861\pi$
$883$	−14.0364	−	2.22315i	−0.472363	−	0.0748150i	−0.388078	+	0.921627i	$0.626861\pi$
$884$	−3.74477	+	17.6178i	−0.125950	+	0.592550i
$885$	−36.6610	−	51.9421i	−1.23235	−	1.74601i
$886$	−2.75749	+	0.586123i	−0.0926398	+	0.0196912i
$887$	5.66075	+	8.71678i	0.190069	+	0.292681i	0.920839	−	0.389943i	$-0.127505\pi$
$887$	5.66075	+	8.71678i	0.190069	+	0.292681i	−0.730770	+	0.682624i	$0.760839\pi$
$888$	8.96289	+	4.56682i	0.300775	+	0.153252i
$889$	40.0035	−	16.6975i	1.34168	−	0.560015i
$890$	6.27330	−	27.6447i	0.210282	−	0.926652i
$891$	−16.9852	−	3.61032i	−0.569026	−	0.120950i
$892$	0.925364	+	2.41066i	0.0309835	+	0.0807147i
$893$	11.9446	−	44.5780i	0.399712	−	1.49175i
$894$	−0.363545	−	3.45890i	−0.0121588	−	0.115683i
$895$	13.1505	+	20.8708i	0.439572	+	0.697634i
$896$	1.13253	−	2.39110i	0.0378353	−	0.0798811i
$897$	82.5414	−	13.0733i	2.75598	−	0.436504i
$898$	−0.592569	+	11.3069i	−0.0197743	+	0.377316i
$899$	−9.20117	−	15.9369i	−0.306876	−	0.531525i
$900$	−9.40330	−	5.77834i	−0.313443	−	0.192611i
$901$	−30.8938	−	17.8366i	−1.02922	−	0.594222i
$902$	3.34916	−	1.70648i	0.111515	−	0.0568196i
$903$	21.5711	+	3.93738i	0.717840	+	0.131028i
$904$	3.19455	−	4.39692i	0.106249	−	0.146240i
$905$	−5.40414	+	19.1164i	−0.179640	+	0.635452i
$906$	−9.81404	+	22.0427i	−0.326050	+	0.732320i
$907$	24.0668	+	6.44867i	0.799124	+	0.214125i	0.635199	−	0.772348i	$-0.280918\pi$
$907$	24.0668	+	6.44867i	0.799124	+	0.214125i	0.163925	+	0.986473i	$0.447585\pi$
$908$	−1.10737	−	0.896729i	−0.0367493	−	0.0297590i
$909$	0.927887	+	2.85574i	0.0307761	+	0.0947190i
$910$	−34.0810	+	2.30563i	−1.12977	+	0.0764310i
$911$	0.107431	−	0.330639i	0.00355935	−	0.0109546i	−0.949261	−	0.314489i	$-0.898167\pi$
$911$	0.107431	−	0.330639i	0.00355935	−	0.0109546i	0.952820	+	0.303535i	$0.0981668\pi$
$912$	11.6125	−	7.54128i	0.384530	−	0.249717i
$913$	−0.0203348	−	0.388011i	−0.000672984	−	0.0128413i
$914$	7.72939	+	36.3639i	0.255665	+	1.20281i
$915$	22.9171	+	40.9808i	0.757617	+	1.35478i
$916$	−28.4395	+	9.24057i	−0.939669	+	0.305317i
$917$	0.111718	+	3.86512i	0.00368926	+	0.127637i
$918$	−3.98974	−	3.98974i	−0.131681	−	0.131681i
$919$	13.7828	−	1.44863i	0.454653	−	0.0477859i	0.125565	−	0.992085i	$-0.459926\pi$
$919$	13.7828	−	1.44863i	0.454653	−	0.0477859i	0.329088	+	0.944299i	$0.393259\pi$
$920$	−12.7239	+	6.26498i	−0.419495	+	0.206550i
$921$	6.70009	−	63.7471i	0.220775	−	2.10054i
$922$	−2.53357	−	0.972545i	−0.0834385	−	0.0320291i
$923$	−16.6918	−	32.7595i	−0.549418	−	1.07829i
$924$	−7.39888	+	6.35408i	−0.243405	+	0.209034i
$925$	7.33172	+	20.7857i	0.241065	+	0.683429i
$926$	4.08821	−	7.08098i	0.134347	−	0.232696i
$927$	24.1565	+	15.6874i	0.793405	+	0.515243i
$928$	−4.40170	+	3.56443i	−0.144493	+	0.117008i
$929$	−6.15104	+	2.73862i	−0.201809	+	0.0898512i	−0.505152	−	0.863030i	$-0.668564\pi$
$929$	−6.15104	+	2.73862i	−0.201809	+	0.0898512i	0.303343	+	0.952881i	$0.401897\pi$
$930$	−12.7398	−	10.6089i	−0.417754	−	0.347879i
$931$	−1.99247	+	42.4274i	−0.0653007	+	1.39050i
$932$	14.4709	−	14.4709i	0.474011	−	0.474011i
$933$	37.5501	−	46.3705i	1.22934	−	1.51810i
$934$	−25.8923	+	28.7563i	−0.847221	+	0.940935i
$935$	−3.62846	+	10.6675i	−0.118663	+	0.348864i
$936$	9.47147	−	8.52815i	0.309585	−	0.278751i
$937$	−26.1097	+	51.2431i	−0.852965	+	1.67404i	−0.121046	+	0.992647i	$0.538625\pi$
$937$	−26.1097	+	51.2431i	−0.852965	+	1.67404i	−0.731919	+	0.681392i	$0.761375\pi$
$938$	9.54473	+	39.2863i	0.311647	+	1.28274i
$939$	5.87001	+	1.90728i	0.191561	+	0.0622418i
$940$	3.30766	+	16.6825i	0.107884	+	0.544124i
$941$	36.4446	+	32.8148i	1.18806	+	1.06973i	0.996091	+	0.0883323i	$0.0281537\pi$
$941$	36.4446	+	32.8148i	1.18806	+	1.06973i	0.191968	+	0.981401i	$0.438513\pi$
$942$	16.3570	−	6.27887i	0.532941	−	0.204577i
$943$	−3.81989	−	14.2560i	−0.124393	−	0.464240i
$944$	−10.0800	+	7.32358i	−0.328077	+	0.238362i
$945$	5.20904	−	9.34738i	0.169450	−	0.304070i
$946$	−4.74636	−	3.44843i	−0.154318	−	0.112118i
$947$	16.2927	−	42.4440i	0.529443	−	1.37925i	−0.364558	−	0.931181i	$-0.618780\pi$
$947$	16.2927	−	42.4440i	0.529443	−	1.37925i	0.894001	−	0.448065i	$-0.147887\pi$
$948$	−1.85497	+	2.85641i	−0.0602467	+	0.0927718i
$949$	−25.0209	+	14.4458i	−0.812212	+	0.468931i
$950$	29.8238	+	5.56562i	0.967613	+	0.180573i
$951$			12.8607i			0.417037i
$952$	−8.17970	+	1.09949i	−0.265106	+	0.0356346i
$953$	7.98999	+	50.4468i	0.258821	+	1.63413i	0.684326	+	0.729176i	$0.260096\pi$
$953$	7.98999	+	50.4468i	0.258821	+	1.63413i	−0.425505	+	0.904956i	$0.639904\pi$
$954$	10.2672	+	23.0605i	0.332412	+	0.746611i
$955$	1.04298	+	2.11825i	0.0337500	+	0.0685449i
$956$	−5.69137	−	2.53396i	−0.184072	−	0.0819542i
$957$	20.1671	−	5.40376i	0.651910	−	0.174679i
$958$	1.67062	−	10.5479i	0.0539753	−	0.340787i
$959$	−34.9715	−	0.820712i	−1.12929	−	0.0265022i
$960$	−2.61165	+	4.38362i	−0.0842905	+	0.141481i
$961$	13.6795	+	15.1927i	0.441275	+	0.490086i
$962$	−25.4175	+	1.33207i	−0.819492	+	0.0429478i
$963$	0.617030	−	0.0323372i	0.0198835	−	0.00104205i
$964$	−17.8735	−	19.8505i	−0.575665	−	0.639341i
$965$	14.5270	−	6.23067i	0.467641	−	0.200573i
$966$	18.3637	+	33.6037i	0.590841	+	1.08118i
$967$	−4.98181	+	31.4539i	−0.160204	+	1.01149i	0.768279	+	0.640116i	$0.221114\pi$
$967$	−4.98181	+	31.4539i	−0.160204	+	1.01149i	−0.928483	+	0.371375i	$0.878886\pi$
$968$	−8.10467	+	2.17164i	−0.260494	+	0.0697991i
$969$	−39.4587	−	17.5681i	−1.26760	−	0.564370i
$970$	−6.62617	+	6.44696i	−0.212754	+	0.206999i
$971$	9.25388	+	20.7845i	0.296971	+	0.667008i	0.998980	−	0.0451605i	$-0.0143799\pi$
$971$	9.25388	+	20.7845i	0.296971	+	0.667008i	−0.702009	+	0.712168i	$0.747713\pi$
$972$	2.98852	+	18.8688i	0.0958569	+	0.605217i
$973$	37.1662	+	15.2766i	1.19149	+	0.489745i
$974$		−	17.5884i		−	0.563569i
$975$	65.8545	+	1.80584i	2.10903	+	0.0578333i
$976$	7.96900	−	4.60090i	0.255081	−	0.147271i
$977$	−11.2842	+	17.3762i	−0.361015	+	0.555914i	−0.971777	−	0.235900i	$-0.924196\pi$
$977$	−11.2842	+	17.3762i	−0.361015	+	0.555914i	0.610763	+	0.791814i	$0.290863\pi$
$978$	12.2079	−	31.8026i	0.390364	−	1.01693i
$979$	16.5677	+	12.0371i	0.529505	+	0.384708i
$980$	−6.24789	−	14.3514i	−0.199582	−	0.458440i
$981$	−7.72370	+	5.61159i	−0.246599	+	0.179164i
$982$	−8.27013	−	30.8646i	−0.263911	−	0.984928i
$983$	−39.9294	+	15.3275i	−1.27355	+	0.488870i	−0.898842	−	0.438272i	$-0.855591\pi$
$983$	−39.9294	+	15.3275i	−1.27355	+	0.488870i	−0.374709	+	0.927143i	$0.622257\pi$
$984$	−3.94606	−	3.55305i	−0.125796	−	0.113267i
$985$	−1.50687	−	1.39466i	−0.0480128	−	0.0444376i
$986$	16.8035	+	5.45980i	0.535134	+	0.173876i
$987$	44.6225	−	10.8412i	1.42035	−	0.345079i
$988$	−15.9054	+	31.2161i	−0.506017	+	0.993115i
$989$	−17.1189	+	15.4140i	−0.544350	+	0.490135i
$990$	6.51407	−	4.59766i	0.207031	−	0.146123i
$991$	−6.82837	+	7.58367i	−0.216910	+	0.240903i	−0.841773	−	0.539831i	$-0.818488\pi$
$991$	−6.82837	+	7.58367i	−0.216910	+	0.240903i	0.624863	+	0.780734i	$0.285155\pi$
$992$	−2.04469	+	2.52498i	−0.0649188	+	0.0801681i
$993$	−19.6401	+	19.6401i	−0.623261	+	0.623261i
$994$	11.5638	−	12.2522i	0.366782	−	0.388617i
$995$	0.533828	−	1.33565i	0.0169235	−	0.0423431i
$996$	−0.501425	+	0.223249i	−0.0158883	+	0.00707391i
$997$	−39.9236	+	32.3295i	−1.26439	+	1.02389i	−0.266194	+	0.963919i	$0.585766\pi$
$997$	−39.9236	+	32.3295i	−1.26439	+	1.02389i	−0.998200	+	0.0599668i	$0.980901\pi$
$998$	23.1874	+	15.0581i	0.733984	+	0.476655i
$999$	3.98668	−	6.90513i	0.126133	−	0.218469i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.103.19	yes	320
7.3	odd	6	inner	350.2.x.a.3.2	✓	320
25.17	odd	20	inner	350.2.x.a.117.2	yes	320
175.17	even	60	inner	350.2.x.a.17.19	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.3.2	✓	320	7.3	odd	6	inner
350.2.x.a.17.19	yes	320	175.17	even	60	inner
350.2.x.a.103.19	yes	320	1.1	even	1	trivial
350.2.x.a.117.2	yes	320	25.17	odd	20	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.998630 + 0.0523360i) q^{2} +(1.43609 + 1.77342i) q^{3} +(0.994522 + 0.104528i) q^{4} +(1.38325 + 1.75688i) q^{5} +(1.34131 + 1.84615i) q^{6} +(0.200418 - 2.63815i) q^{7} +(0.987688 + 0.156434i) q^{8} +(-0.458937 + 2.15913i) q^{9} +(1.28941 + 1.82686i) q^{10} +(-1.58007 + 0.335855i) q^{11} +(1.24285 + 1.91382i) q^{12} +(-5.14459 - 2.62130i) q^{13} +(0.338214 - 2.62404i) q^{14} +(-1.12921 + 4.97611i) q^{15} +(0.978148 + 0.207912i) q^{16} +(-1.11791 - 2.91225i) q^{17} +(-0.571308 + 2.13215i) q^{18} +(-0.634252 - 6.03450i) q^{19} +(1.19203 + 1.89184i) q^{20} +(4.96636 - 3.43319i) q^{21} +(-1.59549 + 0.252700i) q^{22} +(-0.331950 + 6.33399i) q^{23} +(1.14098 + 1.97624i) q^{24} +(-1.17323 + 4.86040i) q^{25} +(-5.00035 - 2.88696i) q^{26} +(1.61163 - 0.821164i) q^{27} +(0.475082 - 2.60275i) q^{28} +(-3.32918 + 4.58222i) q^{29} +(-1.38809 + 4.91020i) q^{30} +(-1.32150 + 2.96814i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-2.86474 - 2.31982i) q^{33} +(-0.963960 - 2.96676i) q^{34} +(4.91213 - 3.29711i) q^{35} +(-0.682113 + 2.09933i) q^{36} +(3.69700 - 2.40086i) q^{37} +(-0.317561 - 6.05943i) q^{38} +(-2.73942 - 12.8879i) q^{39} +(1.09139 + 1.95163i) q^{40} +(-2.21303 + 0.719058i) q^{41} +(5.13924 - 3.16856i) q^{42} +(2.56812 + 2.56812i) q^{43} +(-1.60652 + 0.168853i) q^{44} +(-4.42814 + 2.18032i) q^{45} +(-0.662991 + 6.30794i) q^{46} +(7.10071 + 2.72571i) q^{47} +(1.03599 + 2.03325i) q^{48} +(-6.91967 - 1.05747i) q^{49} +(-1.42600 + 4.79234i) q^{50} +(3.55923 - 6.16476i) q^{51} +(-4.84241 - 3.14470i) q^{52} +(8.88724 - 7.19675i) q^{53} +(1.65239 - 0.735693i) q^{54} +(-2.77570 - 2.31142i) q^{55} +(0.610648 - 2.57432i) q^{56} +(9.79086 - 9.79086i) q^{57} +(-3.56443 + 4.40170i) q^{58} +(-8.33711 + 9.25930i) q^{59} +(-1.64317 + 4.83082i) q^{60} +(6.83827 - 6.15721i) q^{61} +(-1.47503 + 2.89491i) q^{62} +(5.60412 + 1.64347i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-2.51096 - 12.6643i) q^{65} +(-2.73940 - 2.46657i) q^{66} +(-14.2658 + 5.47614i) q^{67} +(-0.807370 - 3.01315i) q^{68} +(-11.7095 + 8.50747i) q^{69} +(5.07796 - 3.03551i) q^{70} +(5.15163 + 3.74288i) q^{71} +(-0.791048 + 2.06075i) q^{72} +(2.72528 - 4.19656i) q^{73} +(3.81759 - 2.20408i) q^{74} +(-10.3044 + 4.89933i) q^{75} -6.06774i q^{76} +(0.569360 + 4.23578i) q^{77} +(-2.06116 - 13.0136i) q^{78} +(0.607062 + 1.36348i) q^{79} +(0.987749 + 2.00608i) q^{80} +(9.82028 + 4.37227i) q^{81} +(-2.24763 + 0.602252i) q^{82} +(-0.0376270 + 0.237568i) q^{83} +(5.29802 - 2.89525i) q^{84} +(3.57011 - 5.99240i) q^{85} +(2.43020 + 2.69901i) q^{86} +(-12.9072 + 0.676437i) q^{87} +(-1.61316 + 0.0845421i) q^{88} +(-8.48284 - 9.42115i) q^{89} +(-4.53618 + 1.94558i) q^{90} +(-7.94645 + 13.0468i) q^{91} +(-0.992214 + 6.26459i) q^{92} +(-7.16156 + 1.91893i) q^{93} +(6.94832 + 3.09359i) q^{94} +(9.72454 - 9.46154i) q^{95} +(0.928159 + 2.08468i) q^{96} +(0.646775 + 4.08357i) q^{97} +(-6.85484 - 1.41816i) q^{98} -3.56572i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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