LMFDB - Embedded newform 350.2.x.a.283.18

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			283.18
Character	$\chi$	$=$	350.283
Dual form			350.2.x.a.47.18

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0523360 + 0.998630i) q^{2} +(1.82270 + 1.47600i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(2.12533 - 0.694967i) q^{5} +(-1.37858 + 1.89745i) q^{6} +(-1.81538 + 1.92468i) q^{7} +(-0.156434 - 0.987688i) q^{8} +(0.519950 + 2.44617i) q^{9} +(0.805246 + 2.08604i) q^{10} +(-0.251043 - 0.0533609i) q^{11} +(-1.96700 - 1.27739i) q^{12} +(0.969804 + 1.90335i) q^{13} +(-2.01705 - 1.71216i) q^{14} +(4.89962 + 1.87026i) q^{15} +(0.978148 - 0.207912i) q^{16} +(-2.05792 - 0.789962i) q^{17} +(-2.41561 + 0.647260i) q^{18} +(-0.155654 + 1.48095i) q^{19} +(-2.04104 + 0.913317i) q^{20} +(-6.14973 + 0.828631i) q^{21} +(0.0401492 - 0.253492i) q^{22} +(6.71395 - 0.351863i) q^{23} +(1.17269 - 2.03116i) q^{24} +(4.03404 - 2.95407i) q^{25} +(-1.84998 + 1.06809i) q^{26} +(0.531516 - 1.04316i) q^{27} +(1.60425 - 2.10390i) q^{28} +(-4.57476 - 6.29662i) q^{29} +(-1.61127 + 4.99078i) q^{30} +(-1.25360 - 2.81564i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-0.378817 - 0.467800i) q^{33} +(0.681176 - 2.09644i) q^{34} +(-2.52069 + 5.35221i) q^{35} +(-0.772796 - 2.37842i) q^{36} +(-2.35626 + 3.62832i) q^{37} +(-1.48707 - 0.0779340i) q^{38} +(-1.04167 + 4.90067i) q^{39} +(-1.01889 - 1.99045i) q^{40} +(-6.84202 - 2.22311i) q^{41} +(-1.14935 - 6.09793i) q^{42} +(-0.242596 - 0.242596i) q^{43} +(0.255246 + 0.0268274i) q^{44} +(2.80507 + 4.83757i) q^{45} +(0.702762 + 6.68634i) q^{46} +(0.356924 + 0.929819i) q^{47} +(2.08975 + 1.06478i) q^{48} +(-0.408796 - 6.98805i) q^{49} +(3.16114 + 3.87391i) q^{50} +(-2.58500 - 4.47735i) q^{51} +(-1.16344 - 1.79155i) q^{52} +(6.47943 - 8.00143i) q^{53} +(1.06955 + 0.476193i) q^{54} +(-0.570633 + 0.0610573i) q^{55} +(2.18497 + 1.49194i) q^{56} +(-2.46959 + 2.46959i) q^{57} +(6.04857 - 4.89803i) q^{58} +(8.64987 + 9.60665i) q^{59} +(-5.06827 - 1.34786i) q^{60} +(-4.14954 - 3.73627i) q^{61} +(2.74618 - 1.39925i) q^{62} +(-5.65201 - 3.43999i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(3.38391 + 3.37126i) q^{65} +(0.447333 - 0.402781i) q^{66} +(3.16192 - 8.23708i) q^{67} +(2.12922 + 0.570523i) q^{68} +(12.7569 + 9.26844i) q^{69} +(-5.47680 - 2.23712i) q^{70} +(-12.5430 + 9.11301i) q^{71} +(2.33472 - 0.896214i) q^{72} +(2.99752 - 1.94661i) q^{73} +(-3.74666 - 2.16314i) q^{74} +(11.7131 + 0.569844i) q^{75} -1.48911i q^{76} +(0.558441 - 0.386308i) q^{77} +(-4.94847 - 0.783760i) q^{78} +(-0.538449 + 1.20938i) q^{79} +(1.93439 - 1.12166i) q^{80} +(9.36234 - 4.16838i) q^{81} +(1.86198 - 6.94900i) q^{82} +(5.34393 - 0.846395i) q^{83} +(6.02942 - 1.46691i) q^{84} +(-4.92275 - 0.248741i) q^{85} +(0.229567 - 0.254960i) q^{86} +(0.955353 - 18.2292i) q^{87} +(-0.0134321 + 0.256300i) q^{88} +(8.79042 - 9.76275i) q^{89} +(-4.68414 + 3.05441i) q^{90} +(-5.42390 - 1.58873i) q^{91} +(-6.64039 + 1.05174i) q^{92} +(1.87093 - 6.98240i) q^{93} +(-0.909865 + 0.405098i) q^{94} +(0.698396 + 3.25568i) q^{95} +(-0.953953 + 2.14261i) q^{96} +(-8.34554 - 1.32180i) q^{97} +(6.95708 - 0.773962i) q^{98} -0.641840i 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 $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{20}\right)$

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 $

$2$	0.0523360	+	0.998630i	0.0370071	+	0.706138i
$2$	0.0523360	+	0.998630i	0.0370071	+	0.706138i
$3$	1.82270	+	1.47600i	1.05234	+	0.852167i	0.989308	−	0.145844i	$-0.0465898\pi$
$3$	1.82270	+	1.47600i	1.05234	+	0.852167i	0.0630316	+	0.998012i	$0.479923\pi$
$4$	−0.994522	+	0.104528i	−0.497261	+	0.0522642i
$5$	2.12533	−	0.694967i	0.950476	−	0.310799i
$5$	2.12533	−	0.694967i	0.950476	−	0.310799i
$6$	−1.37858	+	1.89745i	−0.562804	+	0.774633i
$7$	−1.81538	+	1.92468i	−0.686149	+	0.727461i
$7$	−1.81538	+	1.92468i	−0.686149	+	0.727461i
$8$	−0.156434	−	0.987688i	−0.0553079	−	0.349201i
$9$	0.519950	+	2.44617i	0.173317	+	0.815391i
$10$	0.805246	+	2.08604i	0.254641	+	0.659665i
$11$	−0.251043	−	0.0533609i	−0.0756924	−	0.0160889i	0.169910	−	0.985460i	$-0.445652\pi$
$11$	−0.251043	−	0.0533609i	−0.0756924	−	0.0160889i	−0.245602	+	0.969371i	$0.578986\pi$
$12$	−1.96700	−	1.27739i	−0.567825	−	0.368750i
$13$	0.969804	+	1.90335i	0.268975	+	0.527893i	0.985502	−	0.169667i	$-0.0542691\pi$
$13$	0.969804	+	1.90335i	0.268975	+	0.527893i	−0.716526	+	0.697560i	$0.754269\pi$
$14$	−2.01705	−	1.71216i	−0.539080	−	0.457594i
$15$	4.89962	+	1.87026i	1.26508	+	0.482899i
$16$	0.978148	−	0.207912i	0.244537	−	0.0519779i
$17$	−2.05792	−	0.789962i	−0.499119	−	0.191594i	0.0957672	−	0.995404i	$-0.469470\pi$
$17$	−2.05792	−	0.789962i	−0.499119	−	0.191594i	−0.594886	+	0.803810i	$0.702803\pi$
$18$	−2.41561	+	0.647260i	−0.569364	+	0.152561i
$19$	−0.155654	+	1.48095i	−0.0357095	+	0.339754i	0.962051	+	0.272869i	$0.0879726\pi$
$19$	−0.155654	+	1.48095i	−0.0357095	+	0.339754i	−0.997761	+	0.0668846i	$0.978694\pi$
$20$	−2.04104	+	0.913317i	−0.456391	+	0.204224i
$21$	−6.14973	+	0.828631i	−1.34198	+	0.180822i
$22$	0.0401492	−	0.253492i	0.00855983	−	0.0540446i
$23$	6.71395	−	0.351863i	1.39996	−	0.0733686i	0.662651	−	0.748928i	$-0.269431\pi$
$23$	6.71395	−	0.351863i	1.39996	−	0.0733686i	0.737305	+	0.675560i	$0.236098\pi$
$24$	1.17269	−	2.03116i	0.239375	−	0.414609i
$25$	4.03404	−	2.95407i	0.806808	−	0.590813i
$26$	−1.84998	+	1.06809i	−0.362812	+	0.209469i
$27$	0.531516	−	1.04316i	0.102290	−	0.200756i
$28$	1.60425	−	2.10390i	0.303175	−	0.397599i
$29$	−4.57476	−	6.29662i	−0.849512	−	1.16925i	−0.983970	−	0.178334i	$-0.942929\pi$
$29$	−4.57476	−	6.29662i	−0.849512	−	1.16925i	0.134458	−	0.990919i	$-0.457071\pi$
$30$	−1.61127	+	4.99078i	−0.294176	+	0.911188i
$31$	−1.25360	−	2.81564i	−0.225154	−	0.505704i	0.765279	−	0.643699i	$-0.222601\pi$
$31$	−1.25360	−	2.81564i	−0.225154	−	0.505704i	−0.990433	+	0.137995i	$0.955934\pi$
$32$	0.258819	+	0.965926i	0.0457532	+	0.170753i
$33$	−0.378817	−	0.467800i	−0.0659436	−	0.0814336i
$34$	0.681176	−	2.09644i	0.116821	−	0.359537i
$35$	−2.52069	+	5.35221i	−0.426074	+	0.904688i
$36$	−0.772796	−	2.37842i	−0.128799	−	0.396404i
$37$	−2.35626	+	3.62832i	−0.387366	+	0.596492i	−0.977531	−	0.210791i	$-0.932396\pi$
$37$	−2.35626	+	3.62832i	−0.387366	+	0.596492i	0.590165	+	0.807283i	$0.299063\pi$
$38$	−1.48707	−	0.0779340i	−0.241234	−	0.0126426i
$39$	−1.04167	+	4.90067i	−0.166801	+	0.784735i
$40$	−1.01889	−	1.99045i	−0.161100	−	0.314717i
$41$	−6.84202	−	2.22311i	−1.06854	−	0.347191i	−0.278624	−	0.960400i	$-0.589878\pi$
$41$	−6.84202	−	2.22311i	−1.06854	−	0.347191i	−0.789921	+	0.613209i	$0.789878\pi$
$42$	−1.14935	−	6.09793i	−0.177348	−	0.940931i
$43$	−0.242596	−	0.242596i	−0.0369955	−	0.0369955i	0.688367	−	0.725363i	$-0.258328\pi$
$43$	−0.242596	−	0.242596i	−0.0369955	−	0.0369955i	−0.725363	+	0.688367i	$0.758328\pi$
$44$	0.255246	+	0.0268274i	0.0384797	+	0.00404438i
$45$	2.80507	+	4.83757i	0.418156	+	0.721143i
$46$	0.702762	+	6.68634i	0.103617	+	0.985847i
$47$	0.356924	+	0.929819i	0.0520628	+	0.135628i	0.957146	−	0.289607i	$-0.0935247\pi$
$47$	0.356924	+	0.929819i	0.0520628	+	0.135628i	−0.905083	+	0.425235i	$0.860191\pi$
$48$	2.08975	+	1.06478i	0.301630	+	0.153688i
$49$	−0.408796	−	6.98805i	−0.0583994	−	0.998293i
$50$	3.16114	+	3.87391i	0.447053	+	0.547854i
$51$	−2.58500	−	4.47735i	−0.361972	−	0.626955i
$52$	−1.16344	−	1.79155i	−0.161341	−	0.248443i
$53$	6.47943	−	8.00143i	0.890018	−	1.09908i	−0.104501	−	0.994525i	$-0.533324\pi$
$53$	6.47943	−	8.00143i	0.890018	−	1.09908i	0.994519	−	0.104556i	$-0.0333422\pi$
$54$	1.06955	+	0.476193i	0.145547	+	0.0648017i
$55$	−0.570633	+	0.0610573i	−0.0769442	+	0.00823297i
$56$	2.18497	+	1.49194i	0.291979	+	0.199369i
$57$	−2.46959	+	2.46959i	−0.327106	+	0.327106i
$58$	6.04857	−	4.89803i	0.794216	−	0.643143i
$59$	8.64987	+	9.60665i	1.12612	+	1.25068i	0.964574	+	0.263813i	$0.0849803\pi$
$59$	8.64987	+	9.60665i	1.12612	+	1.25068i	0.161543	+	0.986866i	$0.448353\pi$
$60$	−5.06827	−	1.34786i	−0.654311	−	0.174009i
$61$	−4.14954	−	3.73627i	−0.531295	−	0.478380i	0.359272	−	0.933233i	$-0.383025\pi$
$61$	−4.14954	−	3.73627i	−0.531295	−	0.478380i	−0.890566	+	0.454853i	$0.849692\pi$
$62$	2.74618	−	1.39925i	0.348765	−	0.177704i
$63$	−5.65201	−	3.43999i	−0.712086	−	0.433398i
$64$	−0.951057	+	0.309017i	−0.118882	+	0.0386271i
$65$	3.38391	+	3.37126i	0.419723	+	0.418153i
$66$	0.447333	−	0.402781i	0.0550629	−	0.0495789i
$67$	3.16192	−	8.23708i	0.386290	−	1.00632i	−0.593241	−	0.805025i	$-0.702152\pi$
$67$	3.16192	−	8.23708i	0.386290	−	1.00632i	0.979531	−	0.201294i	$-0.0645147\pi$
$68$	2.12922	+	0.570523i	0.258206	+	0.0691861i
$69$	12.7569	+	9.26844i	1.53575	+	1.11579i
$70$	−5.47680	−	2.23712i	−0.654602	−	0.267387i
$71$	−12.5430	+	9.11301i	−1.48858	+	1.08152i	−0.513914	+	0.857842i	$0.671805\pi$
$71$	−12.5430	+	9.11301i	−1.48858	+	1.08152i	−0.974664	+	0.223673i	$0.928195\pi$
$72$	2.33472	−	0.896214i	0.275149	−	0.105620i
$73$	2.99752	−	1.94661i	0.350833	−	0.227834i	−0.357176	−	0.934037i	$-0.616260\pi$
$73$	2.99752	−	1.94661i	0.350833	−	0.227834i	0.708009	+	0.706204i	$0.249594\pi$
$74$	−3.74666	−	2.16314i	−0.435541	−	0.251459i
$75$	11.7131	+	0.569844i	1.35251	+	0.0658000i
$76$		−	1.48911i		−	0.170813i
$77$	0.558441	−	0.386308i	0.0636403	−	0.0440239i
$78$	−4.94847	−	0.783760i	−0.560304	−	0.0887434i
$79$	−0.538449	+	1.20938i	−0.0605802	+	0.136065i	−0.941299	−	0.337575i	$-0.890394\pi$
$79$	−0.538449	+	1.20938i	−0.0605802	+	0.136065i	0.880719	+	0.473640i	$0.157060\pi$
$80$	1.93439	−	1.12166i	0.216272	−	0.125405i
$81$	9.36234	−	4.16838i	1.04026	−	0.463154i
$82$	1.86198	−	6.94900i	0.205621	−	0.767388i
$83$	5.34393	−	0.846395i	0.586572	−	0.0929039i	0.143908	−	0.989591i	$-0.454033\pi$
$83$	5.34393	−	0.846395i	0.586572	−	0.0929039i	0.442665	+	0.896687i	$0.354033\pi$
$84$	6.02942	−	1.46691i	0.657864	−	0.160053i
$85$	−4.92275	−	0.248741i	−0.533948	−	0.0269798i
$86$	0.229567	−	0.254960i	0.0247548	−	0.0274930i
$87$	0.955353	−	18.2292i	0.102425	−	1.95438i
$88$	−0.0134321	+	0.256300i	−0.00143187	+	0.0273217i
$89$	8.79042	−	9.76275i	0.931783	−	1.03485i	−0.0675278	−	0.997717i	$-0.521511\pi$
$89$	8.79042	−	9.76275i	0.931783	−	1.03485i	0.999310	−	0.0371320i	$-0.0118222\pi$
$90$	−4.68414	+	3.05441i	−0.493751	+	0.321963i
$91$	−5.42390	−	1.58873i	−0.568579	−	0.166545i
$92$	−6.64039	+	1.05174i	−0.692309	+	0.109651i
$93$	1.87093	−	6.98240i	0.194006	−	0.724041i
$94$	−0.909865	+	0.405098i	−0.0938454	+	0.0417827i
$95$	0.698396	+	3.25568i	0.0716539	+	0.334026i
$96$	−0.953953	+	2.14261i	−0.0973624	+	0.218680i
$97$	−8.34554	−	1.32180i	−0.847362	−	0.134209i	−0.282370	−	0.959306i	$-0.591121\pi$
$97$	−8.34554	−	1.32180i	−0.847362	−	0.134209i	−0.564992	+	0.825097i	$0.691121\pi$
$98$	6.95708	−	0.773962i	0.702771	−	0.0781820i
$99$		−	0.641840i		−	0.0645074i
$100$	−3.70316	+	3.35956i	−0.370316	+	0.335956i
$101$	10.8871	+	6.28566i	1.08331	+	0.625447i	0.931786	−	0.363008i	$-0.118250\pi$
$101$	10.8871	+	6.28566i	1.08331	+	0.625447i	0.151519	+	0.988454i	$0.451583\pi$
$102$	4.33593	−	2.81578i	0.429321	−	0.278804i
$103$	−2.11366	+	0.811356i	−0.208265	+	0.0799453i	−0.460264	−	0.887782i	$-0.652245\pi$
$103$	−2.11366	+	0.811356i	−0.208265	+	0.0799453i	0.251999	+	0.967727i	$0.418912\pi$
$104$	1.72820	−	1.25561i	0.169464	−	0.123123i
$105$	−12.4943	+	6.03497i	−1.21932	+	0.588953i
$106$	8.32957	+	6.05179i	0.809040	+	0.587802i
$107$	4.75573	+	1.27429i	0.459754	+	0.123191i	0.481260	−	0.876578i	$-0.340179\pi$
$107$	4.75573	+	1.27429i	0.459754	+	0.123191i	−0.0215060	+	0.999769i	$0.506846\pi$
$108$	−0.419565	+	1.09300i	−0.0403726	+	0.105174i
$109$	−6.31732	+	5.68814i	−0.605090	+	0.544825i	−0.913714	−	0.406359i	$-0.866798\pi$
$109$	−6.31732	+	5.68814i	−0.605090	+	0.544825i	0.308624	+	0.951184i	$0.400132\pi$
$110$	−0.0908383	−	0.566656i	−0.00866109	−	0.0540285i
$111$	−9.65015	+	3.13552i	−0.915951	+	0.297611i
$112$	−1.37555	+	2.26006i	−0.129977	+	0.213556i
$113$	−15.8591	+	8.08062i	−1.49190	+	0.760160i	−0.994236	−	0.107210i	$-0.965808\pi$
$113$	−15.8591	+	8.08062i	−1.49190	+	0.760160i	−0.497662	+	0.867371i	$0.665808\pi$
$114$	−2.59546	−	2.33696i	−0.243087	−	0.218876i
$115$	14.0248	−	5.41380i	1.30782	−	0.504840i
$116$	5.20788	+	5.78394i	0.483539	+	0.537025i
$117$	−4.15167	+	3.36195i	−0.383822	+	0.310813i
$118$	−9.14078	+	9.14078i	−0.841477	+	0.841477i
$119$	5.25633	−	2.52676i	0.481847	−	0.231628i
$120$	1.08076	−	5.13187i	0.0986599	−	0.468473i
$121$	−9.98882	−	4.44731i	−0.908075	−	0.404301i
$122$	3.51398	−	4.33940i	0.318140	−	0.392871i
$123$	−9.18969	−	14.1509i	−0.828606	−	1.27594i
$124$	1.54105	+	2.66918i	0.138391	+	0.239699i
$125$	6.52069	−	9.08189i	0.583228	−	0.812309i
$126$	3.13948	−	5.82430i	0.279687	−	0.518870i
$127$	−16.7745	−	8.54705i	−1.48850	−	0.758428i	−0.494642	−	0.869097i	$-0.664701\pi$
$127$	−16.7745	−	8.54705i	−1.48850	−	0.758428i	−0.993857	+	0.110668i	$0.964701\pi$
$128$	−0.358368	−	0.933580i	−0.0316756	−	0.0825176i
$129$	−0.0841098	−	0.800251i	−0.00740546	−	0.0704582i
$130$	−3.18954	+	3.55572i	−0.279741	+	0.311857i
$131$	17.3720	+	1.82588i	1.51780	+	0.159528i	0.826458	−	0.562998i	$-0.190352\pi$
$131$	17.3720	+	1.82588i	1.51780	+	0.159528i	0.691344	+	0.722525i	$0.257019\pi$
$132$	0.425640	+	0.425640i	0.0370472	+	0.0370472i
$133$	−2.56779	−	2.98807i	−0.222656	−	0.259099i
$134$	8.39127	+	2.72649i	0.724895	+	0.235533i
$135$	0.404685	−	2.58644i	0.0348298	−	0.222605i
$136$	−0.458306	+	2.15616i	−0.0392994	+	0.184889i
$137$	13.6155	+	0.713560i	1.16325	+	0.0609636i	0.624170	−	0.781288i	$-0.285437\pi$
$137$	13.6155	+	0.713560i	1.16325	+	0.0609636i	0.539084	+	0.842252i	$0.318771\pi$
$138$	−8.58809	+	13.2245i	−0.731067	+	1.12574i
$139$	1.29163	+	3.97521i	0.109554	+	0.337173i	0.990772	−	0.135537i	$-0.0432759\pi$
$139$	1.29163	+	3.97521i	0.109554	+	0.337173i	−0.881218	+	0.472710i	$0.843276\pi$
$140$	1.94742	−	5.58637i	0.164587	−	0.472135i
$141$	−0.721843	+	2.22161i	−0.0607902	+	0.187093i
$142$	−9.75697	−	12.0489i	−0.818787	−	1.01112i
$143$	−0.141898	−	0.529572i	−0.0118661	−	0.0442850i
$144$	1.01718	+	2.28461i	0.0847646	+	0.190385i
$145$	−14.0988	−	10.2031i	−1.17084	−	0.847320i
$146$	2.10082	+	2.89153i	0.173865	+	0.239305i
$147$	9.56923	−	13.3405i	0.789257	−	1.10031i
$148$	1.96409	−	3.85474i	0.161447	−	0.316857i
$149$	−19.6704	+	11.3567i	−1.61146	+	0.930379i	−0.622432	+	0.782674i	$0.713855\pi$
$149$	−19.6704	+	11.3567i	−1.61146	+	0.930379i	−0.989031	+	0.147705i	$0.952811\pi$
$150$	0.0439508	+	11.7268i	0.00358857	+	0.957492i
$151$	−6.58621	+	11.4077i	−0.535978	+	0.928342i	0.463137	+	0.886287i	$0.346724\pi$
$151$	−6.58621	+	11.4077i	−0.535978	+	0.928342i	−0.999115	+	0.0420550i	$0.986610\pi$
$152$	1.48707	−	0.0779340i	0.120617	−	0.00632128i
$153$	0.862367	−	5.44477i	0.0697182	−	0.440183i
$154$	0.415005	+	0.537458i	0.0334421	+	0.0433096i
$155$	−4.62110	−	5.11295i	−0.371176	−	0.410682i
$156$	0.523703	−	4.98271i	0.0419298	−	0.398936i
$157$	−8.81537	+	2.36207i	−0.703543	+	0.188514i	−0.592817	−	0.805337i	$-0.701984\pi$
$157$	−8.81537	+	2.36207i	−0.703543	+	0.188514i	−0.110726	+	0.993851i	$0.535318\pi$
$158$	−1.23590	−	0.474417i	−0.0983228	−	0.0377426i
$159$	23.6202	−	5.02062i	1.87320	−	0.398161i
$160$	1.22136	+	1.87304i	0.0965571	+	0.148077i
$161$	−11.5111	+	13.5610i	−0.907206	+	1.06876i
$162$	4.65266	+	9.13135i	0.365547	+	0.717427i
$163$	11.5748	+	7.51677i	0.906610	+	0.588759i	0.911532	−	0.411229i	$-0.134900\pi$
$163$	11.5748	+	7.51677i	0.906610	+	0.588759i	−0.00492256	+	0.999988i	$0.501567\pi$
$164$	7.03692	+	1.49574i	0.549491	+	0.116798i
$165$	−1.13022	−	0.730964i	−0.0879873	−	0.0569055i
$166$	1.12491	+	5.29231i	0.0873103	+	0.410763i
$167$	2.62798	+	16.5924i	0.203359	+	1.28396i	0.852272	+	0.523098i	$0.175224\pi$
$167$	2.62798	+	16.5924i	0.203359	+	1.28396i	−0.648913	+	0.760863i	$0.724776\pi$
$168$	1.78046	+	5.94439i	0.137365	+	0.458619i
$169$	4.95900	−	6.82547i	0.381461	−	0.525037i
$170$	−0.00923667	−	4.92902i	−0.000708420	−	0.378039i
$171$	−3.70360	+	0.389264i	−0.283221	+	0.0297677i
$172$	0.266625	+	0.215909i	0.0203300	+	0.0164629i
$173$	−0.465013	−	8.87297i	−0.0353542	−	0.674599i	−0.957619	−	0.288039i	$-0.906997\pi$
$173$	−0.465013	−	8.87297i	−0.0353542	−	0.674599i	0.922264	−	0.386560i	$-0.126337\pi$
$174$	18.2542			1.38385
$175$	−1.63768	+	13.1270i	−0.123797	+	0.992308i
$176$	−0.256652			−0.0193458
$177$	1.58676	+	30.2773i	0.119269	+	2.27578i
$178$	10.2094	+	8.26743i	0.765229	+	0.619670i
$179$	−18.7206	+	1.96762i	−1.39925	+	0.147067i	−0.773914	−	0.633291i	$-0.781704\pi$
$179$	−18.7206	+	1.96762i	−1.39925	+	0.147067i	−0.625333	+	0.780358i	$0.715037\pi$
$180$	−3.29537	−	4.51786i	−0.245622	−	0.336741i
$181$	−10.2551	+	14.1150i	−0.762257	+	1.04916i	0.234766	+	0.972052i	$0.424567\pi$
$181$	−10.2551	+	14.1150i	−0.762257	+	1.04916i	−0.997023	+	0.0771043i	$0.975433\pi$
$182$	1.30269	−	5.49961i	0.0965619	−	0.407658i
$183$	−2.04868	−	12.9348i	−0.151442	−	0.956170i
$184$	−1.39783	−	6.57625i	−0.103049	−	0.484808i
$185$	−2.48626	+	9.34889i	−0.182793	+	0.687344i
$186$	7.07075	+	1.50293i	0.518453	+	0.110200i
$187$	0.474474	+	0.308127i	0.0346970	+	0.0225325i
$188$	−0.452162	−	0.887417i	−0.0329773	−	0.0647215i
$189$	1.04285	+	2.91673i	0.0758558	+	0.212161i
$190$	−3.21467	+	0.867828i	−0.233217	+	0.0629589i
$191$	1.60890	−	0.341983i	0.116416	−	0.0247450i	−0.149335	−	0.988787i	$-0.547713\pi$
$191$	1.60890	−	0.341983i	0.116416	−	0.0247450i	0.265751	+	0.964042i	$0.414380\pi$
$192$	−2.18960	−	0.840510i	−0.158021	−	0.0606586i
$193$	−11.1110	+	2.97717i	−0.799784	+	0.214302i	−0.635489	−	0.772110i	$-0.719202\pi$
$193$	−11.1110	+	2.97717i	−0.799784	+	0.214302i	−0.164295	+	0.986411i	$0.552535\pi$
$194$	0.883221	−	8.40329i	0.0634116	−	0.603321i
$195$	1.19191	+	11.1395i	0.0853547	+	0.797713i
$196$	1.13701	+	6.90704i	0.0812148	+	0.493360i
$197$	−3.47269	+	21.9257i	−0.247419	+	1.56214i	0.480821	+	0.876819i	$0.340339\pi$
$197$	−3.47269	+	21.9257i	−0.247419	+	1.56214i	−0.728240	+	0.685322i	$0.759661\pi$
$198$	0.640960	−	0.0335913i	0.0455511	−	0.00238723i
$199$	−9.91990	+	17.1818i	−0.703203	+	1.21798i	0.264133	+	0.964486i	$0.414914\pi$
$199$	−9.91990	+	17.1818i	−0.703203	+	1.21798i	−0.967336	+	0.253498i	$0.918419\pi$
$200$	−3.54876	−	3.52226i	−0.250935	−	0.249061i
$201$	17.9211	−	10.3468i	1.26406	−	0.729805i
$202$	−5.70726	+	11.2011i	−0.401561	+	0.788109i
$203$	20.4239	+	2.62580i	1.43348	+	0.184295i
$204$	3.03885	+	4.18262i	0.212762	+	0.292842i
$205$	−16.0865	+	0.0301451i	−1.12353	+	0.00210543i
$206$	−0.920865	−	2.06830i	−0.0641597	−	0.144105i
$207$	4.35164	+	16.2405i	0.302460	+	1.12880i
$208$	1.34434	+	1.66012i	0.0932132	+	0.115109i
$209$	0.118101	−	0.363477i	0.00816921	−	0.0251422i
$210$	−6.68060	−	12.1613i	−0.461005	−	0.839213i
$211$	−6.71220	−	20.6580i	−0.462087	−	1.42216i	−0.862610	−	0.505870i	$-0.831171\pi$
$211$	−6.71220	−	20.6580i	−0.462087	−	1.42216i	0.400523	−	0.916287i	$-0.368829\pi$
$212$	−5.60756	+	8.63488i	−0.385129	+	0.593046i
$213$	−36.3129	−	1.90308i	−2.48812	−	0.130397i
$214$	−1.02365	+	4.81590i	−0.0699754	+	0.329208i
$215$	−0.684192	−	0.347000i	−0.0466615	−	0.0236652i
$216$	−1.11346	−	0.361786i	−0.0757616	−	0.0246164i
$217$	7.69498	+	2.69867i	0.522369	+	0.183198i
$218$	−6.01097	−	6.01097i	−0.407114	−	0.407114i
$219$	8.33678	+	0.876231i	0.563348	+	0.0592102i
$220$	0.561125	−	0.120370i	0.0378310	−	0.00811536i
$221$	−0.492208	−	4.68304i	−0.0331095	−	0.315016i
$222$	−3.63628	−	9.47282i	−0.244051	−	0.635774i
$223$	11.1808	+	5.69691i	0.748723	+	0.381494i	0.786336	−	0.617799i	$-0.211975\pi$
$223$	11.1808	+	5.69691i	0.748723	+	0.381494i	−0.0376130	+	0.999292i	$0.511975\pi$
$224$	−2.32895	−	1.25538i	−0.155610	−	0.0838784i
$225$	9.32366	+	8.33200i	0.621577	+	0.555466i
$226$	−8.89954	−	15.4145i	−0.591989	−	1.02535i
$227$	−8.79500	−	13.5431i	−0.583745	−	0.898888i	0.416201	−	0.909273i	$-0.363361\pi$
$227$	−8.79500	−	13.5431i	−0.583745	−	0.898888i	−0.999946	+	0.0103842i	$0.996695\pi$
$228$	2.19792	−	2.71421i	0.145561	−	0.179753i
$229$	−16.7657	−	7.46456i	−1.10791	−	0.493272i	−0.230526	−	0.973066i	$-0.574045\pi$
$229$	−16.7657	−	7.46456i	−1.10791	−	0.493272i	−0.877381	+	0.479794i	$0.840711\pi$
$230$	6.14038	+	13.7223i	0.404885	+	0.904819i
$231$	1.58806	+	0.120133i	0.104487	+	0.00790415i
$232$	−5.50345	+	5.50345i	−0.361319	+	0.361319i
$233$	2.95672	−	2.39431i	0.193701	−	0.156856i	−0.527564	−	0.849516i	$-0.676894\pi$
$233$	2.95672	−	2.39431i	0.193701	−	0.156856i	0.721265	+	0.692659i	$0.243561\pi$
$234$	−3.57463	−	3.97002i	−0.233681	−	0.259529i
$235$	1.40478	+	1.72812i	0.0916374	+	0.112730i
$236$	−9.60665	−	8.64987i	−0.625340	−	0.563058i
$237$	−2.76647	+	1.40959i	−0.179701	+	0.0915624i
$238$	2.79839	+	5.11689i	0.181393	+	0.331678i
$239$	−18.5516	+	6.02779i	−1.20000	+	0.389905i	−0.839763	−	0.542954i	$-0.817306\pi$
$239$	−18.5516	+	6.02779i	−1.20000	+	0.389905i	−0.360242	+	0.932859i	$0.617306\pi$
$240$	5.18140	+	0.810702i	0.334458	+	0.0523306i
$241$	19.0066	−	17.1136i	1.22432	−	1.10238i	0.232787	−	0.972528i	$-0.425216\pi$
$241$	19.0066	−	17.1136i	1.22432	−	1.10238i	0.991533	−	0.129854i	$-0.0414510\pi$
$242$	3.91844	−	10.2079i	0.251887	−	0.656188i
$243$	19.8247	+	5.31201i	1.27175	+	0.340766i
$244$	4.51736	+	3.28205i	0.289194	+	0.210112i
$245$	−5.72529	−	14.5678i	−0.365775	−	0.930703i
$246$	13.6505	−	9.91770i	0.870326	−	0.632329i
$247$	−2.96972	+	1.13997i	−0.188959	+	0.0725345i
$248$	−2.58487	+	1.67863i	−0.164139	+	0.106593i
$249$	10.9897	+	6.34489i	0.696443	+	0.402091i
$250$	9.41071	+	6.03644i	0.595185	+	0.381778i
$251$			15.9768i			1.00845i	0.863573	+	0.504223i	$0.168221\pi$
$251$			15.9768i			1.00845i	−0.863573	+	0.504223i	$0.831779\pi$
$252$	5.98062	+	2.83035i	0.376744	+	0.178295i
$253$	−1.70427	−	0.269930i	−0.107146	−	0.0169703i
$254$	7.65743	−	17.1989i	0.480470	−	1.07915i
$255$	−8.60559	−	7.71935i	−0.538903	−	0.483405i
$256$	0.913545	−	0.406737i	0.0570966	−	0.0254210i
$257$	−0.311046	+	1.16084i	−0.0194025	+	0.0724112i	−0.974948	−	0.222432i	$-0.928601\pi$
$257$	−0.311046	+	1.16084i	−0.0194025	+	0.0724112i	0.955546	+	0.294843i	$0.0952673\pi$
$258$	0.794753	−	0.125876i	0.0494791	−	0.00783673i
$259$	−2.70585	−	11.1218i	−0.168134	−	0.691076i
$260$	−3.71777	−	2.99907i	−0.230566	−	0.185995i
$261$	13.0240	−	14.4646i	0.806164	−	0.895336i
$262$	−0.914191	+	17.4438i	−0.0564789	+	1.07768i
$263$	0.442803	−	8.44918i	0.0273044	−	0.520999i	−0.950402	−	0.311023i	$-0.899328\pi$
$263$	0.442803	−	8.44918i	0.0273044	−	0.520999i	0.977707	−	0.209975i	$-0.0673384\pi$
$264$	−0.402781	+	0.447333i	−0.0247894	+	0.0275315i
$265$	8.21019	−	21.5087i	0.504348	−	1.32127i
$266$	2.84959	−	2.72065i	0.174720	−	0.166814i
$267$	30.4321	−	4.81998i	1.86242	−	0.294978i
$268$	−2.28359	+	8.52246i	−0.139492	+	0.520592i
$269$	−18.0376	+	8.03084i	−1.09977	+	0.489649i	−0.874686	−	0.484691i	$-0.838932\pi$
$269$	−18.0376	+	8.03084i	−1.09977	+	0.489649i	−0.225083	+	0.974340i	$0.572265\pi$
$270$	2.60408	+	0.268767i	0.158479	+	0.0163566i
$271$	6.56576	−	14.7469i	0.398842	−	0.895813i	−0.596786	−	0.802401i	$-0.703556\pi$
$271$	6.56576	−	14.7469i	0.398842	−	0.895813i	0.995627	−	0.0934125i	$-0.0297775\pi$
$272$	−2.17719	−	0.344833i	−0.132012	−	0.0209086i
$273$	−7.54120	−	10.9015i	−0.456414	−	0.659786i
$274$			13.6342i			0.823674i
$275$	−1.17035	+	0.526338i	−0.0705748	+	0.0317394i
$276$	−13.6558	−	7.88420i	−0.821985	−	0.474573i
$277$	5.46708	−	3.55036i	0.328485	−	0.213321i	−0.369850	−	0.929091i	$-0.620591\pi$
$277$	5.46708	−	3.55036i	0.328485	−	0.213321i	0.698335	+	0.715771i	$0.253924\pi$
$278$	−3.90217	+	1.49790i	−0.234036	+	0.0898382i
$279$	6.23574	−	4.53053i	0.373324	−	0.271236i
$280$	5.68064	+	1.65238i	0.339483	+	0.0987488i
$281$	−0.265206	−	0.192684i	−0.0158209	−	0.0114945i	0.579847	−	0.814726i	$-0.303112\pi$
$281$	−0.265206	−	0.192684i	−0.0158209	−	0.0114945i	−0.595668	+	0.803231i	$0.703112\pi$
$282$	−2.25634	−	0.604584i	−0.134363	−	0.0360025i
$283$	2.64654	−	6.89447i	0.157320	−	0.409834i	−0.832153	−	0.554545i	$-0.812892\pi$
$283$	2.64654	−	6.89447i	0.157320	−	0.409834i	0.989474	+	0.144712i	$0.0462255\pi$
$284$	11.5217	−	10.3742i	0.683687	−	0.615595i
$285$	−3.53241	+	6.96498i	−0.209242	+	0.412570i
$286$	0.521420	−	0.169420i	0.0308322	−	0.0100180i
$287$	16.6996	−	9.13293i	0.985749	−	0.539100i
$288$	−2.22825	+	1.13535i	−0.131301	+	0.0669011i
$289$	−9.02247	−	8.12386i	−0.530733	−	0.477874i
$290$	9.45122	−	14.6135i	0.554995	−	0.858133i
$291$	−13.2605	−	14.7273i	−0.777343	−	0.863327i
$292$	−2.77762	+	2.24927i	−0.162548	+	0.131629i
$293$	18.3492	−	18.3492i	1.07197	−	1.07197i	0.0747691	−	0.997201i	$-0.476178\pi$
$293$	18.3492	−	18.3492i	1.07197	−	1.07197i	0.997201	−	0.0747691i	$-0.0238220\pi$
$294$	13.8231	+	8.85793i	0.806178	+	0.516605i
$295$	25.0601	+	14.4059i	1.45906	+	0.838745i
$296$	3.95225	+	1.75965i	0.229720	+	0.102278i
$297$	−0.189097	+	0.233516i	−0.0109725	+	0.0135500i
$298$	−12.3706	−	19.0491i	−0.716611	−	1.10348i
$299$	7.18094	+	12.4377i	0.415284	+	0.719293i
$300$	−11.7085	+	0.657626i	−0.675988	+	0.0379680i
$301$	0.907323	−	0.0265162i	0.0522972	−	0.00152837i
$302$	−11.7367	−	5.98016i	−0.675372	−	0.344119i
$303$	10.5663	+	27.5262i	0.607019	+	1.58134i
$304$	0.155654	+	1.48095i	0.00892739	+	0.0849384i
$305$	−11.4157	−	5.05700i	−0.653662	−	0.289563i
$306$	5.48244	+	0.576228i	0.313410	+	0.0329407i
$307$	−6.23106	−	6.23106i	−0.355625	−	0.355625i	0.506572	−	0.862198i	$-0.330912\pi$
$307$	−6.23106	−	6.23106i	−0.355625	−	0.355625i	−0.862198	+	0.506572i	$0.830912\pi$
$308$	−0.515002	+	0.442565i	−0.0293450	+	0.0252175i
$309$	−5.05013	−	1.64089i	−0.287292	−	0.0933468i
$310$	4.86409	−	4.88236i	0.276262	−	0.277299i
$311$	0.720093	−	3.38777i	0.0408327	−	0.192103i	−0.953004	−	0.302958i	$-0.902026\pi$
$311$	0.720093	−	3.38777i	0.0408327	−	0.192103i	0.993837	+	0.110855i	$0.0353590\pi$
$312$	5.00329	+	0.262211i	0.283255	+	0.0148448i
$313$	−8.50770	+	13.1007i	−0.480884	+	0.740496i	−0.992961	−	0.118443i	$-0.962210\pi$
$313$	−8.50770	+	13.1007i	−0.480884	+	0.740496i	0.512077	+	0.858940i	$0.328876\pi$
$314$	−2.82019	−	8.67966i	−0.159153	−	0.489822i
$315$	−14.4031	−	3.38316i	−0.811520	−	0.190619i
$316$	0.409085	−	1.25903i	0.0230128	−	0.0708262i
$317$	4.14002	+	5.11250i	0.232527	+	0.287147i	0.880032	−	0.474914i	$-0.157521\pi$
$317$	4.14002	+	5.11250i	0.232527	+	0.287147i	−0.647505	+	0.762061i	$0.724188\pi$
$318$	6.24993	+	23.3251i	0.350479	+	1.30800i
$319$	0.812470	+	1.82484i	0.0454896	+	0.102171i
$320$	−1.80655	+	1.31772i	−0.100989	+	0.0736625i
$321$	6.78744	+	9.34210i	0.378838	+	0.521425i
$322$	−14.1448	−	10.7856i	−0.788262	−	0.601061i
$323$	1.49022	−	2.92472i	0.0829180	−	0.162736i
$324$	−8.87534	+	5.12418i	−0.493074	+	0.284677i
$325$	9.53484	+	4.81332i	0.528898	+	0.266995i
$326$	−6.90069	+	11.9524i	−0.382194	+	0.661980i
$327$	−19.9103	+	1.04345i	−1.10104	+	0.0577032i
$328$	−1.12541	+	7.10556i	−0.0621404	+	0.392339i
$329$	−2.43756	−	1.00101i	−0.134387	−	0.0551874i
$330$	0.670811	−	1.16692i	0.0369269	−	0.0642370i
$331$	1.91447	−	18.2150i	0.105229	−	1.00119i	−0.806734	−	0.590915i	$-0.798767\pi$
$331$	1.91447	−	18.2150i	0.105229	−	1.00119i	0.911963	−	0.410272i	$-0.134566\pi$
$332$	−5.22618	+	1.40035i	−0.286824	+	0.0768542i
$333$	−10.1006	−	3.87727i	−0.553511	−	0.212473i
$334$	−16.4322	+	3.49276i	−0.899128	+	0.191115i
$335$	0.995617	−	19.7039i	0.0543964	−	1.07654i
$336$	−5.84306	+	2.08912i	−0.318765	+	0.113971i
$337$	8.75542	+	17.1835i	0.476938	+	0.936044i	0.996656	+	0.0817063i	$0.0260369\pi$
$337$	8.75542	+	17.1835i	0.476938	+	0.936044i	−0.519718	+	0.854338i	$0.673963\pi$
$338$	7.07565	+	4.59498i	0.384865	+	0.249934i
$339$	−40.8334	−	8.67941i	−2.21777	−	0.471401i
$340$	4.92179	−	0.267189i	0.266921	−	0.0144904i
$341$	0.164464	+	0.773741i	0.00890621	+	0.0419004i
$342$	−0.582561	−	3.67815i	−0.0315013	−	0.198891i
$343$	14.1919	+	11.8992i	0.766290	+	0.642495i
$344$	−0.201659	+	0.277559i	−0.0108727	+	0.0149650i
$345$	33.5539	+	10.8328i	1.80648	+	0.583221i
$346$	8.83647	−	0.928751i	0.475052	−	0.0499299i
$347$	16.2692	+	13.1745i	0.873377	+	0.707247i	0.957260	−	0.289229i	$-0.0933989\pi$
$347$	16.2692	+	13.1745i	0.873377	+	0.707247i	−0.0838832	+	0.996476i	$0.526732\pi$
$348$	0.955353	+	18.2292i	0.0512123	+	0.977189i
$349$	3.98435			0.213277			0.106639	−	0.994298i	$-0.465991\pi$
$349$	3.98435			0.213277			0.106639	+	0.994298i	$0.465991\pi$
$350$	−13.1947	−	0.948423i	−0.705287	−	0.0506953i
$351$	2.50096			0.133491
$352$	−0.0134321	−	0.256300i	−0.000715934	−	0.0136608i
$353$	−0.100896	−	0.0817044i	−0.00537018	−	0.00434868i	0.626632	−	0.779316i	$-0.284433\pi$
$353$	−0.100896	−	0.0817044i	−0.00537018	−	0.00434868i	−0.632002	+	0.774967i	$0.717766\pi$
$354$	−30.1527	+	3.16918i	−1.60260	+	0.168440i
$355$	−20.3247	+	28.0851i	−1.07872	+	1.49060i
$356$	−7.72178	+	10.6281i	−0.409253	+	0.563289i
$357$	13.3102	+	3.15279i	0.704452	+	0.166863i
$358$	−2.94469	−	18.5920i	−0.155631	−	0.982618i
$359$	−3.33732	−	15.7009i	−0.176137	−	0.828660i	−0.974129	−	0.225992i	$-0.927438\pi$
$359$	−3.33732	−	15.7009i	−0.176137	−	0.828660i	0.797992	−	0.602668i	$-0.205896\pi$
$360$	4.33920	−	3.52730i	0.228696	−	0.185905i
$361$	16.4158	+	3.48929i	0.863990	+	0.183647i
$362$	−14.6323	−	9.50234i	−0.769058	−	0.499432i
$363$	−11.6425	−	22.8496i	−0.611071	−	1.19929i
$364$	5.56025	+	1.01308i	0.291436	+	0.0530998i
$365$	5.01788	−	6.22036i	0.262648	−	0.325589i
$366$	12.8099	−	2.72282i	0.669583	−	0.142324i
$367$	8.83312	+	3.39072i	0.461085	+	0.176994i	0.577812	−	0.816170i	$-0.303907\pi$
$367$	8.83312	+	3.39072i	0.461085	+	0.176994i	−0.116727	+	0.993164i	$0.537240\pi$
$368$	6.49408	−	1.74008i	0.338527	−	0.0907081i
$369$	1.88060	−	17.8927i	0.0978999	−	0.931456i
$370$	−9.46619	−	1.99357i	−0.492124	−	0.103641i
$371$	3.63758	+	26.9965i	0.188854	+	1.40159i
$372$	−1.13082	+	7.13972i	−0.0586303	+	0.370177i
$373$	7.84881	−	0.411339i	0.406396	−	0.0212983i	0.151957	−	0.988387i	$-0.451442\pi$
$373$	7.84881	−	0.411339i	0.406396	−	0.0212983i	0.254439	+	0.967089i	$0.418109\pi$
$374$	−0.282873	+	0.489950i	−0.0146270	+	0.0253347i
$375$	25.2901	−	6.92908i	1.30598	−	0.357816i
$376$	0.862537	−	0.497986i	0.0444819	−	0.0256817i
$377$	7.54803	−	14.8139i	0.388744	−	0.762952i
$378$	−2.85815	+	1.19407i	−0.147008	+	0.0614161i
$379$	−8.06296	−	11.0977i	−0.414166	−	0.570051i	0.550062	−	0.835124i	$-0.314604\pi$
$379$	−8.06296	−	11.0977i	−0.414166	−	0.570051i	−0.964228	+	0.265073i	$0.914604\pi$
$380$	−1.03488	−	3.16485i	−0.0530883	−	0.162353i
$381$	−17.9596	−	40.3379i	−0.920098	−	2.06657i
$382$	0.425717	+	1.58880i	0.0217816	+	0.0812900i
$383$	10.5247	+	12.9969i	0.537785	+	0.664109i	0.971527	−	0.236928i	$-0.0761404\pi$
$383$	10.5247	+	12.9969i	0.537785	+	0.664109i	−0.433742	+	0.901037i	$0.642807\pi$
$384$	0.724763	−	2.23059i	0.0369854	−	0.113829i
$385$	0.918400	−	1.20913i	0.0468060	−	0.0616229i
$386$	−3.55460	−	10.9399i	−0.180924	−	0.556827i
$387$	0.467294	−	0.719569i	0.0237539	−	0.0365777i
$388$	8.43799	+	0.442216i	0.428374	+	0.0224501i
$389$	−0.221351	+	1.04137i	−0.0112229	+	0.0527997i	−0.983403	−	0.181436i	$-0.941925\pi$
$389$	−0.221351	+	1.04137i	−0.0112229	+	0.0527997i	0.972180	+	0.234236i	$0.0752588\pi$
$390$	−11.0618	+	1.77327i	−0.560136	+	0.0897932i
$391$	−14.0947	−	4.57966i	−0.712802	−	0.231603i
$392$	−6.83807	+	1.49694i	−0.345375	+	0.0756066i
$393$	28.9691	+	28.9691i	1.46130	+	1.46130i
$394$	−22.0774	−	2.32043i	−1.11224	−	0.116901i
$395$	−0.303904	+	2.94452i	−0.0152911	+	0.148155i
$396$	0.0670906	+	0.638324i	0.00337143	+	0.0320770i
$397$	1.52674	+	3.97729i	0.0766248	+	0.199614i	0.966542	−	0.256507i	$-0.0825717\pi$
$397$	1.52674	+	3.97729i	0.0766248	+	0.199614i	−0.889918	+	0.456121i	$0.849238\pi$
$398$	−17.6774	−	9.00708i	−0.886088	−	0.451484i
$399$	−0.269931	−	9.23643i	−0.0135135	−	0.462400i
$400$	3.33170	−	3.72824i	0.166585	−	0.186412i
$401$	17.4556	+	30.2339i	0.871689	+	1.50981i	0.860249	+	0.509875i	$0.170308\pi$
$401$	17.4556	+	30.2339i	0.871689	+	1.50981i	0.0114402	+	0.999935i	$0.496358\pi$
$402$	11.2705	+	17.3551i	0.562122	+	0.865592i
$403$	4.14339	−	5.11667i	0.206397	−	0.254879i
$404$	−11.4845	−	5.11322i	−0.571374	−	0.254392i
$405$	17.0012	−	15.3657i	0.844794	−	0.763528i
$406$	−1.55329	+	20.5334i	−0.0770886	+	1.01905i
$407$	0.785132	−	0.785132i	0.0389176	−	0.0389176i
$408$	−4.01784	+	3.25359i	−0.198913	+	0.161077i
$409$	6.25049	+	6.94187i	0.309067	+	0.343253i	0.877588	−	0.479415i	$-0.159151\pi$
$409$	6.25049	+	6.94187i	0.309067	+	0.343253i	−0.568522	+	0.822668i	$0.692484\pi$
$410$	−0.872008	−	16.0629i	−0.0430654	−	0.793291i
$411$	23.7639	+	21.3971i	1.17219	+	1.05544i
$412$	2.01727	−	1.02785i	0.0993836	−	0.0506385i
$413$	−34.1925	−	0.791478i	−1.68250	−	0.0389461i
$414$	−15.9905	+	5.19564i	−0.785892	+	0.255352i
$415$	10.7694	−	5.51272i	0.528648	−	0.270609i
$416$	−1.58749	+	1.42938i	−0.0778330	+	0.0700812i
$417$	−3.51315	+	9.15208i	−0.172040	+	0.448179i
$418$	0.369160	+	0.0989161i	0.0180562	+	0.00483814i
$419$	−29.4293	−	21.3817i	−1.43772	−	1.04456i	−0.988513	−	0.151134i	$-0.951707\pi$
$419$	−29.4293	−	21.3817i	−1.43772	−	1.04456i	−0.449205	−	0.893429i	$-0.648293\pi$
$420$	11.7950	−	7.30792i	0.575539	−	0.356590i
$421$	6.05179	−	4.39688i	0.294946	−	0.214291i	−0.430464	−	0.902608i	$-0.641650\pi$
$421$	6.05179	−	4.39688i	0.294946	−	0.214291i	0.725410	+	0.688317i	$0.241650\pi$
$422$	20.2784	−	7.78416i	0.987138	−	0.378927i
$423$	−2.08892	+	1.35656i	−0.101567	+	0.0659581i
$424$	−8.91653	−	5.14796i	−0.433025	−	0.250007i
$425$	−10.6353	+	2.89249i	−0.515889	+	0.140307i
$426$		−	36.3628i		−	1.76178i
$427$	14.7241	−	1.20381i	0.712550	−	0.0582564i
$428$	−4.86288	−	0.770204i	−0.235056	−	0.0372292i
$429$	0.523008	−	1.17470i	0.0252511	−	0.0567148i
$430$	0.310716	−	0.701415i	0.0149841	−	0.0338252i
$431$	−5.88459	+	2.61999i	−0.283451	+	0.126200i	−0.543538	−	0.839385i	$-0.682915\pi$
$431$	−5.88459	+	2.61999i	−0.283451	+	0.126200i	0.260087	+	0.965585i	$0.416249\pi$
$432$	0.303016	−	1.13087i	0.0145789	−	0.0544091i
$433$	−3.30814	+	0.523957i	−0.158979	+	0.0251798i	−0.235416	−	0.971895i	$-0.575645\pi$
$433$	−3.30814	+	0.523957i	−0.158979	+	0.0251798i	0.0764376	+	0.997074i	$0.475645\pi$
$434$	−2.29225	+	7.82567i	−0.110031	+	0.375644i
$435$	−10.6383	−	39.4070i	−0.510066	−	1.88942i
$436$	5.68814	−	6.31732i	0.272413	−	0.302545i
$437$	−0.523963	+	9.99781i	−0.0250646	+	0.478260i
$438$	−0.438717	+	8.37122i	−0.0209627	+	0.399992i
$439$	1.26231	−	1.40194i	0.0602468	−	0.0669109i	−0.712268	−	0.701908i	$-0.752332\pi$
$439$	1.26231	−	1.40194i	0.0602468	−	0.0669109i	0.772515	+	0.634997i	$0.218999\pi$
$440$	0.149572	+	0.554056i	0.00713058	+	0.0264136i
$441$	16.8814	−	4.63342i	0.803878	−	0.220639i
$442$	4.65087	−	0.736625i	0.221219	−	0.0350377i
$443$	−3.09594	+	11.5542i	−0.147093	+	0.548957i	0.852561	+	0.522628i	$0.175048\pi$
$443$	−3.09594	+	11.5542i	−0.147093	+	0.548957i	−0.999653	+	0.0263291i	$0.991618\pi$
$444$	9.26953	−	4.12706i	0.439912	−	0.195862i
$445$	11.8977	−	26.8581i	0.564007	−	1.27320i
$446$	−5.10395	+	11.4637i	−0.241679	+	0.542820i
$447$	−52.6159	−	8.33353i	−2.48864	−	0.394163i
$448$	1.13177	−	2.39146i	0.0534711	−	0.112986i
$449$		−	16.3059i		−	0.769521i	−0.923016	−	0.384761i	$-0.874284\pi$
$449$		−	16.3059i		−	0.769521i	0.923016	−	0.384761i	$-0.125716\pi$
$450$	−7.83261	+	9.74694i	−0.369233	+	0.459475i
$451$	1.59902	+	0.923193i	0.0752948	+	0.0434715i
$452$	14.9276	−	9.69408i	0.702134	−	0.455971i
$453$	−28.8424	+	11.0716i	−1.35513	+	0.520187i
$454$	13.0643	−	9.49174i	0.613136	−	0.445470i
$455$	−12.6317	+	0.392849i	−0.592182	+	0.0184170i
$456$	2.82552	+	2.05286i	0.132317	+	0.0961339i
$457$	2.22561	+	0.596352i	0.104110	+	0.0278962i	0.310498	−	0.950574i	$-0.399504\pi$
$457$	2.22561	+	0.596352i	0.104110	+	0.0278962i	−0.206388	+	0.978470i	$0.566171\pi$
$458$	6.57688	−	17.1334i	0.307318	−	0.800589i
$459$	−1.91787	+	1.72686i	−0.0895187	+	0.0806030i
$460$	−13.3821	+	6.85014i	−0.623944	+	0.319389i
$461$	30.5380	−	9.92240i	1.42230	−	0.462132i	0.505966	−	0.862554i	$-0.331136\pi$
$461$	30.5380	−	9.92240i	1.42230	−	0.462132i	0.916331	+	0.400422i	$0.131136\pi$
$462$	−0.0368552	+	1.59217i	−0.00171466	+	0.0740747i
$463$	0.126150	−	0.0642768i	0.00586270	−	0.00298719i	−0.451057	−	0.892495i	$-0.648953\pi$
$463$	0.126150	−	0.0642768i	0.00586270	−	0.00298719i	0.456919	+	0.889508i	$0.348953\pi$
$464$	−5.78394	−	5.20788i	−0.268512	−	0.241770i
$465$	−0.876200	−	16.1401i	−0.0406328	−	0.748481i
$466$	2.54577	+	2.82736i	0.117930	+	0.130975i
$467$	9.21669	−	7.46353i	0.426498	−	0.345371i	−0.391915	−	0.920001i	$-0.628187\pi$
$467$	9.21669	−	7.46353i	0.426498	−	0.345371i	0.818413	+	0.574630i	$0.194854\pi$
$468$	3.77750	−	3.77750i	0.174615	−	0.174615i
$469$	10.1137	+	21.0391i	0.467006	+	0.971495i
$470$	−1.65223	+	1.49329i	−0.0762118	+	0.0688805i
$471$	−19.5542	−	8.70610i	−0.901011	−	0.401156i
$472$	8.13524	−	10.0462i	0.374455	−	0.462413i
$473$	0.0479569	+	0.0738472i	0.00220506	+	0.00339550i
$474$	−1.55244	−	2.68890i	−0.0713059	−	0.123505i
$475$	3.74691	+	6.43403i	0.171920	+	0.295214i
$476$	−4.96342	+	3.06235i	−0.227498	+	0.140363i
$477$	22.9419	+	11.6895i	1.05044	+	0.535224i
$478$	−6.99044	−	18.2107i	−0.319735	−	0.832939i
$479$	1.92404	+	18.3060i	0.0879116	+	0.836423i	0.946271	+	0.323375i	$0.104817\pi$
$479$	1.92404	+	18.3060i	0.0879116	+	0.836423i	−0.858359	+	0.513049i	$0.828516\pi$
$480$	−0.538418	+	5.21672i	−0.0245753	+	0.238110i
$481$	−9.19105	−	0.966019i	−0.419076	−	0.0440467i
$482$	18.0848	+	18.0848i	0.823742	+	0.823742i
$483$	−40.9974	+	7.72725i	−1.86545	+	0.351602i
$484$	10.3990	+	3.37883i	0.472681	+	0.153583i
$485$	−18.6556	+	2.99061i	−0.847109	+	0.135797i
$486$	−4.26719	+	20.0755i	−0.193563	+	0.910644i
$487$	−26.9170	−	1.41066i	−1.21973	−	0.0639232i	−0.568421	−	0.822738i	$-0.692445\pi$
$487$	−26.9170	−	1.41066i	−1.21973	−	0.0639232i	−0.651306	+	0.758815i	$0.725779\pi$
$488$	−3.04113	+	4.68294i	−0.137666	+	0.211987i
$489$	10.0027	+	30.7853i	0.452339	+	1.39216i
$490$	14.2482	−	6.47987i	0.643668	−	0.292730i
$491$	−12.0697	+	37.1467i	−0.544698	+	1.67641i	0.177011	+	0.984209i	$0.443357\pi$
$491$	−12.0697	+	37.1467i	−0.544698	+	1.67641i	−0.721708	+	0.692198i	$0.756643\pi$
$492$	10.6185	+	13.1128i	0.478720	+	0.591170i
$493$	4.44041	+	16.5718i	0.199986	+	0.746358i
$494$	−1.29383	−	2.90599i	−0.0582121	−	0.130747i
$495$	−0.446058	−	1.36412i	−0.0200488	−	0.0613127i
$496$	−1.81162	−	2.49347i	−0.0813439	−	0.111960i
$497$	5.23063	−	40.6848i	0.234626	−	1.82496i
$498$	−5.76104	+	11.3067i	−0.258159	+	0.506665i
$499$	−19.8796	+	11.4775i	−0.889931	+	0.513802i	−0.873920	−	0.486070i	$-0.838430\pi$
$499$	−19.8796	+	11.4775i	−0.889931	+	0.513802i	−0.0160110	+	0.999872i	$0.505097\pi$
$500$	−5.53565	+	9.71373i	−0.247562	+	0.434411i
$501$	−19.7003	+	34.1220i	−0.880147	+	1.52446i
$502$	−15.9549	+	0.836161i	−0.712102	+	0.0373197i
$503$	−3.95795	+	24.9895i	−0.176476	+	1.11423i	0.727331	+	0.686287i	$0.240760\pi$
$503$	−3.95795	+	24.9895i	−0.176476	+	1.11423i	−0.903807	+	0.427940i	$0.859240\pi$
$504$	−2.51347	+	6.12056i	−0.111959	+	0.272631i
$505$	27.5070	+	5.79293i	1.22404	+	0.257782i
$506$	0.180365	−	1.71606i	0.00801821	−	0.0762882i
$507$	19.1132	−	5.12136i	0.848846	−	0.227448i
$508$	17.5761	+	6.74682i	0.779811	+	0.299342i
$509$	24.3991	−	5.18620i	1.08147	−	0.229874i	0.367483	−	0.930030i	$-0.380220\pi$
$509$	24.3991	−	5.18620i	1.08147	−	0.229874i	0.713990	+	0.700156i	$0.246886\pi$
$510$	7.25839	−	8.99779i	0.321407	−	0.398429i
$511$	−1.69503	+	9.30310i	−0.0749836	+	0.411545i
$512$	0.453990	+	0.891007i	0.0200637	+	0.0393773i
$513$	1.46214	+	0.949522i	0.0645549	+	0.0419224i
$514$	−1.17553	−	0.249866i	−0.0518503	−	0.0110211i
$515$	−3.92835	+	3.19332i	−0.173104	+	0.140714i
$516$	0.167298	+	0.787076i	0.00736489	+	0.0346491i
$517$	−0.0399874	−	0.252471i	−0.00175864	−	0.0111036i
$518$	10.9650	−	3.28422i	0.481773	−	0.144300i
$519$	12.2489	−	16.8592i	0.537667	−	0.740035i
$520$	2.80039	−	3.86963i	0.122805	−	0.169695i
$521$	35.5635	−	3.73788i	1.55807	−	0.163759i	0.714057	−	0.700087i	$-0.246856\pi$
$521$	35.5635	−	3.73788i	1.55807	−	0.163759i	0.844010	+	0.536328i	$0.180189\pi$
$522$	15.1264	+	12.2491i	0.662064	+	0.536129i
$523$	1.80190	+	34.3824i	0.0787918	+	1.50344i	0.696800	+	0.717265i	$0.254607\pi$
$523$	1.80190	+	34.3824i	0.0787918	+	1.50344i	−0.618008	+	0.786172i	$0.712060\pi$
$524$	−17.4677			−0.763082
$525$	−22.3604	+	21.5094i	−0.975889	+	0.938748i
$526$	8.46077			0.368907
$527$	0.355569	+	6.78467i	0.0154888	+	0.295545i
$528$	−0.467800	−	0.378817i	−0.0203584	−	0.0164859i
$529$	22.0794	−	2.32063i	0.959972	−	0.100897i
$530$	21.9089	+	7.07326i	0.951661	+	0.307243i
$531$	−19.0020	+	26.1540i	−0.824618	+	1.13499i
$532$	2.86606	+	2.70330i	0.124259	+	0.117203i
$533$	−2.40407	−	15.1787i	−0.104132	−	0.657464i
$534$	6.40607	+	30.1382i	0.277218	+	1.30421i
$535$	10.9931	−	0.596782i	0.475272	−	0.0258011i
$536$	−8.63030	−	1.83443i	−0.372772	−	0.0792351i
$537$	−37.0264	−	24.0452i	−1.59781	−	1.03763i
$538$	−8.96384	−	17.5925i	−0.386459	−	0.758468i
$539$	−0.270263	+	1.77612i	−0.0116411	+	0.0765028i
$540$	−0.132112	+	2.61457i	−0.00568517	+	0.112513i
$541$	16.5488	−	3.51755i	0.711488	−	0.151231i	0.162070	−	0.986779i	$-0.448183\pi$
$541$	16.5488	−	3.51755i	0.711488	−	0.151231i	0.549418	+	0.835548i	$0.314850\pi$
$542$	15.0704	+	5.78497i	0.647327	+	0.248486i
$543$	−39.5257	+	10.5909i	−1.69621	+	0.454498i
$544$	0.230415	−	2.19226i	0.00987898	−	0.0939922i
$545$	−9.47331	+	16.4795i	−0.405792	+	0.705904i
$546$	10.4918	−	8.10140i	0.449009	−	0.346708i
$547$	−1.80951	+	11.4248i	−0.0773689	+	0.488488i	0.918328	+	0.395820i	$0.129540\pi$
$547$	−1.80951	+	11.4248i	−0.0773689	+	0.488488i	−0.995697	+	0.0926680i	$0.970460\pi$
$548$	−13.6155	+	0.713560i	−0.581627	+	0.0304818i
$549$	6.98200	−	12.0932i	0.297984	−	0.516124i
$550$	−0.586868	−	1.14120i	−0.0250241	−	0.0486609i
$551$	10.0371	−	5.79491i	0.427594	−	0.246871i
$552$	7.15871	−	14.0498i	0.304695	−	0.597997i
$553$	−1.35017	−	3.23182i	−0.0574152	−	0.137431i
$554$	3.83162	+	5.27378i	0.162790	+	0.224061i
$555$	−18.3306	+	13.3705i	−0.778093	+	0.567548i
$556$	−1.70007	−	3.81843i	−0.0720991	−	0.161937i
$557$	−5.18187	−	19.3390i	−0.219563	−	0.819419i	−0.984510	−	0.175327i	$-0.943902\pi$
$557$	−5.18187	−	19.3390i	−0.219563	−	0.819419i	0.764948	−	0.644093i	$-0.222765\pi$
$558$	4.85067	+	5.99008i	0.205345	+	0.253580i
$559$	0.226474	−	0.697014i	0.00957882	−	0.0294806i
$560$	−1.35282	+	5.75933i	−0.0571670	+	0.243376i
$561$	0.410031	+	1.26195i	0.0173115	+	0.0532794i
$562$	0.178540	−	0.274927i	0.00753125	−	0.0115971i
$563$	−11.7492	−	0.615747i	−0.495168	−	0.0259507i	−0.196882	−	0.980427i	$-0.563082\pi$
$563$	−11.7492	−	0.615747i	−0.495168	−	0.0259507i	−0.298286	+	0.954477i	$0.596415\pi$
$564$	0.485668	−	2.28489i	0.0204503	−	0.0962112i
$565$	−28.0900	+	28.1955i	−1.18176	+	1.18619i
$566$	7.02353	+	2.28208i	0.295221	+	0.0959231i
$567$	−8.97339	+	25.5867i	−0.376847	+	1.07454i
$568$	10.9630	+	10.9630i	0.459996	+	0.459996i
$569$	13.6333	+	1.43292i	0.571539	+	0.0600712i	0.385890	−	0.922545i	$-0.373894\pi$
$569$	13.6333	+	1.43292i	0.571539	+	0.0600712i	0.185649	+	0.982616i	$0.440561\pi$
$570$	−7.14031	−	3.16305i	−0.299075	−	0.132486i
$571$	−4.18769	−	39.8432i	−0.175249	−	1.66739i	−0.629869	−	0.776701i	$-0.716892\pi$
$571$	−4.18769	−	39.8432i	−0.175249	−	1.66739i	0.454620	−	0.890686i	$-0.349775\pi$
$572$	0.196476	+	0.511838i	0.00821509	+	0.0214010i
$573$	3.43732	+	1.75140i	0.143596	+	0.0731658i
$574$	9.99441	+	16.1988i	0.417158	+	0.676124i
$575$	26.0449	−	21.2529i	1.08615	−	0.886307i
$576$	−1.25041	−	2.16577i	−0.0521004	−	0.0902406i
$577$	11.6520	+	17.9425i	0.485080	+	0.746958i	0.993461	−	0.114175i	$-0.0364224\pi$
$577$	11.6520	+	17.9425i	0.485080	+	0.746958i	−0.508381	+	0.861132i	$0.669756\pi$
$578$	7.64053	−	9.43527i	0.317804	−	0.392456i
$579$	−24.6463	−	10.9732i	−1.02427	−	0.456032i
$580$	15.0881	+	8.67346i	0.626499	+	0.360146i
$581$	−8.07221	+	11.8219i	−0.334892	+	0.490454i
$582$	14.0131	−	14.0131i	0.580861	−	0.580861i
$583$	−2.05358	+	1.66296i	−0.0850506	+	0.0688726i
$584$	−2.39156	−	2.65610i	−0.0989635	−	0.109910i
$585$	−6.48721	+	10.0305i	−0.268213	+	0.414711i
$586$	19.2843	+	17.3637i	0.796629	+	0.717288i
$587$	19.8572	−	10.1178i	0.819595	−	0.417605i	0.00667370	−	0.999978i	$-0.497876\pi$
$587$	19.8572	−	10.1178i	0.819595	−	0.417605i	0.812922	+	0.582373i	$0.197876\pi$
$588$	−8.12235	+	14.2677i	−0.334960	+	0.588391i
$589$	4.36496	−	1.41826i	0.179855	−	0.0584384i
$590$	−13.0746	+	25.7797i	−0.538274	+	1.06133i
$591$	−38.6919	+	34.8384i	−1.59157	+	1.43306i
$592$	−1.55040	+	4.03892i	−0.0637209	+	0.165999i
$593$	39.0747	+	10.4700i	1.60461	+	0.429953i	0.946430	−	0.322910i	$-0.104661\pi$
$593$	39.0747	+	10.4700i	1.60461	+	0.429953i	0.658177	+	0.752863i	$0.271328\pi$
$594$	−0.243092	−	0.176617i	−0.00997420	−	0.00724668i
$595$	9.41541	−	9.02317i	0.385994	−	0.369914i
$596$	18.3756	−	13.3506i	0.752692	−	0.546863i
$597$	−43.4413	+	16.6756i	−1.77793	+	0.682485i
$598$	−12.0449	+	7.82204i	−0.492552	+	0.319867i
$599$	31.2109	+	18.0196i	1.27524	+	0.736262i	0.975970	−	0.217905i	$-0.0699224\pi$
$599$	31.2109	+	18.0196i	1.27524	+	0.736262i	0.299273	+	0.954167i	$0.403256\pi$
$600$	−1.26950	−	11.6580i	−0.0518270	−	0.475936i
$601$		−	40.4610i		−	1.65044i	−0.564813	−	0.825219i	$-0.691052\pi$
$601$		−	40.4610i		−	1.65044i	0.564813	−	0.825219i	$-0.308948\pi$
$602$	0.0739655	+	0.904692i	0.00301461	+	0.0368725i
$603$	21.7933	+	3.45173i	0.887494	+	0.140565i
$604$	5.35771	−	12.0336i	0.218002	−	0.489641i
$605$	−24.3203	−	2.51009i	−0.988759	−	0.102050i
$606$	−26.9355	+	11.9925i	−1.09418	+	0.487160i
$607$	6.09130	−	22.7330i	0.247238	−	0.922705i	−0.725007	−	0.688741i	$-0.758164\pi$
$607$	6.09130	−	22.7330i	0.247238	−	0.922705i	0.972245	−	0.233964i	$-0.0751697\pi$
$608$	−1.47078	+	0.232948i	−0.0596478	+	0.00944729i
$609$	33.3511	+	34.9317i	1.35146	+	1.41550i
$610$	4.45261	−	11.6647i	0.180281	−	0.472292i
$611$	−1.42362	+	1.58109i	−0.0575936	+	0.0639642i
$612$	−0.288509	+	5.50508i	−0.0116623	+	0.222530i
$613$	−2.18505	+	41.6933i	−0.0882535	+	1.68398i	0.492824	+	0.870129i	$0.335965\pi$
$613$	−2.18505	+	41.6933i	−0.0882535	+	1.68398i	−0.581078	+	0.813848i	$0.697369\pi$
$614$	5.89641	−	6.54863i	0.237960	−	0.264281i
$615$	−29.3655	−	23.6887i	−1.18413	−	0.955222i
$616$	−0.468911	−	0.491134i	−0.0188930	−	0.0197884i
$617$	27.1539	−	4.30076i	1.09318	−	0.173142i	0.416292	−	0.909231i	$-0.363330\pi$
$617$	27.1539	−	4.30076i	1.09318	−	0.173142i	0.676885	+	0.736089i	$0.263330\pi$
$618$	1.37433	−	5.12909i	0.0552839	−	0.206322i
$619$	11.4453	−	5.09575i	0.460023	−	0.204816i	−0.163622	−	0.986523i	$-0.552318\pi$
$619$	11.4453	−	5.09575i	0.460023	−	0.204816i	0.623645	+	0.781708i	$0.285651\pi$
$620$	5.13023	+	4.60191i	0.206035	+	0.184817i
$621$	3.20153	−	7.19074i	0.128473	−	0.288555i
$622$	3.42081	+	0.541804i	0.137162	+	0.0217244i
$623$	2.83224	+	34.6418i	0.113471	+	1.38790i
$624$			5.01015i			0.200567i
$625$	7.54699	−	23.8337i	0.301880	−	0.953346i
$626$	−13.5280	−	7.81041i	−0.540688	−	0.312167i
$627$	0.751754	−	0.488195i	0.0300222	−	0.0194966i
$628$	8.52017	−	3.27059i	0.339992	−	0.130511i
$629$	7.71522	−	5.60543i	0.307626	−	0.223503i
$630$	2.62472	−	14.5604i	0.104571	−	0.580099i
$631$	4.95272	+	3.59836i	0.197165	+	0.143249i	0.681987	−	0.731364i	$-0.261116\pi$
$631$	4.95272	+	3.59836i	0.197165	+	0.143249i	−0.484823	+	0.874612i	$0.661116\pi$
$632$	1.27872	+	0.342631i	0.0508647	+	0.0136291i
$633$	18.2568	−	47.5607i	0.725644	−	1.89037i
$634$	−4.88882	+	4.40191i	−0.194160	+	0.174822i
$635$	−41.5913	−	6.50755i	−1.65050	−	0.258244i
$636$	−22.9660	+	7.46210i	−0.910661	+	0.295892i
$637$	12.9042	−	7.55512i	0.511285	−	0.299345i
$638$	−1.77982	+	0.906861i	−0.0704636	+	0.0359030i
$639$	−28.8137	−	25.9440i	−1.13985	−	1.02633i
$640$	−1.41046	−	1.73511i	−0.0557532	−	0.0685863i
$641$	−11.9132	−	13.2310i	−0.470544	−	0.522592i	0.460421	−	0.887701i	$-0.347699\pi$
$641$	−11.9132	−	13.2310i	−0.470544	−	0.522592i	−0.930965	+	0.365108i	$0.881032\pi$
$642$	−8.97407	+	7.26706i	−0.354178	+	0.286808i
$643$	−19.1070	+	19.1070i	−0.753506	+	0.753506i	−0.975132	−	0.221625i	$-0.928864\pi$
$643$	−19.1070	+	19.1070i	−0.753506	+	0.753506i	0.221625	+	0.975132i	$0.428864\pi$
$644$	10.0306	−	14.6899i	0.395260	−	0.578865i
$645$	−0.734909	−	1.64234i	−0.0289370	−	0.0646672i
$646$	2.99870	+	1.33511i	0.117982	+	0.0525292i
$647$	−1.29264	+	1.59627i	−0.0508188	+	0.0627559i	−0.801922	−	0.597429i	$-0.796189\pi$
$647$	−1.29264	+	1.59627i	−0.0508188	+	0.0627559i	0.751103	+	0.660185i	$0.229522\pi$
$648$	−5.58165	−	8.59499i	−0.219268	−	0.337643i
$649$	−1.65887	−	2.87325i	−0.0651164	−	0.112785i
$650$	−4.30771	+	9.77368i	−0.168962	+	0.383355i
$651$	10.0425	+	16.2767i	0.393595	+	0.637932i
$652$	−12.2971	−	6.26570i	−0.481593	−	0.245384i
$653$	−7.51462	−	19.5763i	−0.294070	−	0.766078i	−0.998418	−	0.0562235i	$-0.982094\pi$
$653$	−7.51462	−	19.5763i	−0.294070	−	0.766078i	0.704348	−	0.709854i	$-0.251239\pi$
$654$	−2.08405	−	19.8284i	−0.0814928	−	0.775352i
$655$	38.1902	−	8.19241i	1.49222	−	0.320104i
$656$	−7.15472	−	0.751991i	−0.279345	−	0.0293603i
$657$	6.32031	+	6.32031i	0.246579	+	0.246579i
$658$	0.872066	−	2.48661i	0.0339967	−	0.0969380i
$659$	−15.2533	−	4.95610i	−0.594184	−	0.193062i	−0.00353913	−	0.999994i	$-0.501127\pi$
$659$	−15.2533	−	4.95610i	−0.594184	−	0.193062i	−0.590645	+	0.806932i	$0.701127\pi$
$660$	1.20043	+	0.608820i	0.0467267	+	0.0236983i
$661$	2.21129	−	10.4033i	0.0860092	−	0.404642i	−0.913990	−	0.405736i	$-0.867015\pi$
$661$	2.21129	−	10.4033i	0.0860092	−	0.404642i	0.999999	+	0.00109471i	$0.000348458\pi$
$662$	18.2902	+	0.958550i	0.710870	+	0.0372551i
$663$	6.01501	−	9.26230i	0.233604	−	0.359718i
$664$	−1.67195	−	5.14573i	−0.0648842	−	0.199693i
$665$	−7.53401	−	4.56611i	−0.292156	−	0.177066i
$666$	3.34333	−	10.2897i	0.129551	−	0.398718i
$667$	−32.9303	−	40.6655i	−1.27507	−	1.57458i
$668$	−4.34797	−	16.2268i	−0.168228	−	0.627835i
$669$	11.9707	+	26.8867i	0.462814	+	1.03950i
$670$	19.7290	−	0.0369709i	0.762199	−	0.00142831i
$671$	0.842344	+	1.15939i	0.0325183	+	0.0447577i
$672$	−2.39206	−	5.72571i	−0.0922758	−	0.220874i
$673$	1.57574	−	3.09257i	0.0607405	−	0.119210i	−0.858640	−	0.512579i	$-0.828690\pi$
$673$	1.57574	−	3.09257i	0.0607405	−	0.119210i	0.919381	+	0.393369i	$0.128690\pi$
$674$	−16.7017	+	9.64274i	−0.643326	+	0.371424i
$675$	−0.937403	−	5.77828i	−0.0360806	−	0.222406i
$676$	−4.21838	+	7.30644i	−0.162245	+	0.281017i
$677$	−15.1402	+	0.793467i	−0.581887	+	0.0304954i	−0.341009	−	0.940060i	$-0.610769\pi$
$677$	−15.1402	+	0.793467i	−0.581887	+	0.0304954i	−0.240878	+	0.970555i	$0.577435\pi$
$678$	6.53046	−	41.2317i	0.250801	−	1.58349i
$679$	17.6944	−	13.6629i	0.679048	−	0.524335i
$680$	0.524409	+	4.90106i	0.0201102	+	0.187947i
$681$	3.95891	−	37.6665i	0.151706	−	1.44338i
$682$	−0.764074	+	0.204733i	−0.0292579	+	0.00783963i
$683$	−11.2439	−	4.31614i	−0.430237	−	0.165153i	0.133606	−	0.991035i	$-0.457344\pi$
$683$	−11.2439	−	4.31614i	−0.430237	−	0.165153i	−0.563843	+	0.825882i	$0.690678\pi$
$684$	3.64262	−	0.774262i	0.139279	−	0.0296047i
$685$	29.4334	−	7.94580i	1.12459	−	0.303593i
$686$	−11.1401	+	14.7952i	−0.425331	+	0.564883i
$687$	−19.5412	−	38.3518i	−0.745544	−	1.46321i
$688$	−0.287733	−	0.186856i	−0.0109697	−	0.00712382i
$689$	21.5133	+	4.57279i	0.819591	+	0.174209i
$690$	−9.06192	+	34.0748i	−0.344981	+	1.29721i
$691$	7.16187	+	33.6939i	0.272450	+	1.28178i	0.875166	+	0.483822i	$0.160752\pi$
$691$	7.16187	+	33.6939i	0.272450	+	1.28178i	−0.602716	+	0.797956i	$0.705915\pi$
$692$	1.38994	+	8.77575i	0.0528377	+	0.333604i
$693$	1.23534	+	1.16518i	0.0469266	+	0.0442616i
$694$	−12.3050	+	16.9364i	−0.467092	+	0.642897i
$695$	5.50777	+	7.55100i	0.208922	+	0.286426i
$696$	−18.1542	+	1.90809i	−0.688135	+	0.0723259i
$697$	12.3242	+	9.97992i	0.466811	+	0.378016i
$698$	0.208525	+	3.97888i	0.00789277	+	0.150603i
$699$	8.92322			0.337507
$700$	0.256565	−	13.2263i	0.00969724	−	0.499906i
$701$	−34.6643			−1.30925			−0.654626	−	0.755953i	$-0.727174\pi$
$701$	−34.6643			−1.30925			−0.654626	+	0.755953i	$0.727174\pi$
$702$	0.130890	+	2.49753i	0.00494013	+	0.0942633i
$703$	−5.00660	−	4.05427i	−0.188828	−	0.152910i
$704$	0.255246	−	0.0268274i	0.00961994	−	0.00101110i
$705$	0.00978812	+	5.22330i	0.000368642	+	0.196721i
$706$	0.0763119	−	0.105034i	0.00287204	−	0.00395302i
$707$	−31.8621	+	9.54331i	−1.19830	+	0.358913i
$708$	−4.74291	−	29.9455i	−0.178249	−	1.12542i
$709$	−0.991239	−	4.66341i	−0.0372268	−	0.175138i	0.955606	−	0.294646i	$-0.0952017\pi$
$709$	−0.991239	−	4.66341i	−0.0372268	−	0.175138i	−0.992833	+	0.119508i	$0.961868\pi$
$710$	−29.1103	−	18.8270i	−1.09249	−	0.706565i
$711$	−3.23831	−	0.688323i	−0.121446	−	0.0258141i
$712$	−11.0177	−	7.15496i	−0.412905	−	0.268144i
$713$	−9.40737	−	18.4630i	−0.352309	−	0.691445i
$714$	−2.45187	+	13.4570i	−0.0917588	+	0.503615i
$715$	−0.669616	−	1.02690i	−0.0250422	−	0.0384039i
$716$	18.4124	−	3.91368i	0.688104	−	0.146261i
$717$	−42.7111	−	16.3953i	−1.59508	−	0.612293i
$718$	15.5047	−	4.15447i	0.578630	−	0.155043i
$719$	1.56937	−	14.9315i	0.0585276	−	0.556853i	−0.925489	−	0.378775i	$-0.876345\pi$
$719$	1.56937	−	14.9315i	0.0585276	−	0.556853i	0.984016	−	0.178078i	$-0.0569879\pi$
$720$	3.74956	+	4.14865i	0.139738	+	0.154611i
$721$	2.27548	−	5.54103i	0.0847435	−	0.206359i
$722$	−2.62537	+	16.5759i	−0.0977061	+	0.616892i
$723$	59.9029	−	3.13938i	2.22781	−	0.116755i
$724$	8.72352	−	15.1096i	0.324207	−	0.561543i
$725$	−37.0554	−	11.8867i	−1.37620	−	0.441460i
$726$	22.2090	−	12.8224i	0.824253	−	0.475882i
$727$	21.7572	−	42.7010i	0.806932	−	1.58369i	−0.00503384	−	0.999987i	$-0.501602\pi$
$727$	21.7572	−	42.7010i	0.806932	−	1.58369i	0.811966	−	0.583705i	$-0.198398\pi$
$728$	−0.720689	+	5.60565i	−0.0267105	+	0.207759i
$729$	10.2225	+	14.0701i	0.378613	+	0.521116i
$730$	6.47445	+	4.68545i	0.239630	+	0.173416i
$731$	0.307601	+	0.690884i	0.0113771	+	0.0255533i
$732$	3.38951	+	12.6498i	0.125280	+	0.467551i
$733$	−19.8390	−	24.4991i	−0.732768	−	0.904894i	0.265476	−	0.964117i	$-0.414471\pi$
$733$	−19.8390	−	24.4991i	−0.732768	−	0.904894i	−0.998245	+	0.0592238i	$0.981137\pi$
$734$	−2.92378	+	8.99847i	−0.107919	+	0.332140i
$735$	11.0665	−	35.0033i	0.408195	−	1.29112i
$736$	2.07757	+	6.39411i	0.0765804	+	0.235690i
$737$	−1.23332	+	1.89914i	−0.0454298	+	0.0699557i
$738$	17.9666	+	0.941589i	0.661359	+	0.0346604i
$739$	−6.63900	+	31.2340i	−0.244219	+	1.14896i	0.669562	+	0.742756i	$0.266482\pi$
$739$	−6.63900	+	31.2340i	−0.244219	+	1.14896i	−0.913782	+	0.406206i	$0.866852\pi$
$740$	1.49541	−	9.55756i	0.0549725	−	0.351343i
$741$	−7.09551	−	2.30547i	−0.260660	−	0.0846936i
$742$	−26.7691	+	5.04548i	−0.982725	+	0.185225i
$743$	−2.18303	−	2.18303i	−0.0800875	−	0.0800875i	0.665928	−	0.746016i	$-0.268036\pi$
$743$	−2.18303	−	2.18303i	−0.0800875	−	0.0800875i	−0.746016	+	0.665928i	$0.768036\pi$
$744$	−7.18912	−	0.755606i	−0.263566	−	0.0277019i
$745$	−33.9136	+	37.8071i	−1.24250	+	1.38514i
$746$	0.821550	+	7.81653i	0.0300791	+	0.286183i
$747$	4.84900	+	12.6321i	0.177416	+	0.462184i
$748$	−0.504083	−	0.256843i	−0.0184311	−	0.00939111i
$749$	−11.0861	+	6.83993i	−0.405076	+	0.249926i
$750$	8.24317	+	24.8928i	0.300998	+	0.908958i
$751$	−12.5093	−	21.6667i	−0.456470	−	0.790629i	0.542301	−	0.840184i	$-0.317553\pi$
$751$	−12.5093	−	21.6667i	−0.456470	−	0.790629i	−0.998771	+	0.0495547i	$0.984220\pi$
$752$	0.542445	+	0.835292i	0.0197809	+	0.0304600i
$753$	−23.5817	+	29.1210i	−0.859365	+	1.06123i
$754$	15.1886	+	6.76239i	0.553136	+	0.246272i
$755$	−6.06992	+	28.8222i	−0.220907	+	1.04895i
$756$	−1.34201	−	2.79174i	−0.0488086	−	0.101535i
$757$	−6.37446	+	6.37446i	−0.231684	+	0.231684i	−0.813395	−	0.581711i	$-0.802383\pi$
$757$	−6.37446	+	6.37446i	−0.231684	+	0.231684i	0.581711	+	0.813395i	$0.302383\pi$
$758$	10.6605	−	8.63271i	0.387207	−	0.313554i
$759$	−2.70796	−	3.00750i	−0.0982928	−	0.109165i
$760$	3.10635	−	1.19910i	0.112679	−	0.0434959i
$761$	−3.54334	−	3.19044i	−0.128446	−	0.115653i	0.602404	−	0.798191i	$-0.294210\pi$
$761$	−3.54334	−	3.19044i	−0.128446	−	0.115653i	−0.730850	+	0.682538i	$0.760876\pi$
$762$	39.3427	−	20.0461i	1.42524	−	0.726194i
$763$	0.520475	−	22.4850i	0.0188425	−	0.814010i
$764$	−1.56434	+	0.508285i	−0.0565959	+	0.0183891i
$765$	−1.95112	−	12.1712i	−0.0705430	−	0.440052i
$766$	−12.4282	+	11.1904i	−0.449051	+	0.404327i
$767$	−9.89611	+	25.7803i	−0.357328	+	0.930871i
$768$	2.26547	+	0.607030i	0.0817480	+	0.0219043i
$769$	−19.5335	−	14.1920i	−0.704398	−	0.511775i	0.176964	−	0.984217i	$-0.443372\pi$
$769$	−19.5335	−	14.1920i	−0.704398	−	0.511775i	−0.881362	+	0.472442i	$0.843372\pi$
$770$	1.25554	+	0.853861i	0.0452464	+	0.0307710i
$771$	−2.28034	+	1.65677i	−0.0821245	+	0.0596670i
$772$	10.7389	−	4.12227i	0.386501	−	0.148364i
$773$	45.4187	−	29.4952i	1.63360	−	1.06087i	0.693224	−	0.720722i	$-0.256190\pi$
$773$	45.4187	−	29.4952i	1.63360	−	1.06087i	0.940372	−	0.340148i	$-0.110477\pi$
$774$	0.743039	+	0.428994i	0.0267080	+	0.0154199i
$775$	−13.3747	−	7.65519i	−0.480433	−	0.274982i
$776$			8.44957i			0.303322i
$777$	11.4838	−	24.2656i	0.411979	−	0.870524i
$778$	−1.05153	−	0.166546i	−0.0376992	−	0.00597097i
$779$	4.35731	−	9.78667i	0.156117	−	0.350644i
$780$	−2.34977	−	10.9538i	−0.0841354	−	0.392210i
$781$	3.63511	−	1.61845i	0.130074	−	0.0579129i
$782$	3.83572	−	14.3151i	0.137165	−	0.511907i
$783$	−8.99994	+	1.42545i	−0.321632	+	0.0509414i
$784$	−1.85276	−	6.75035i	−0.0661700	−	0.241084i
$785$	−17.0940	+	11.1466i	−0.610111	+	0.397838i
$786$	−27.4133	+	30.4456i	−0.977800	+	1.08596i
$787$	−2.34677	+	44.7790i	−0.0836533	+	1.59620i	0.558421	+	0.829558i	$0.311407\pi$
$787$	−2.34677	+	44.7790i	−0.0836533	+	1.59620i	−0.642074	+	0.766643i	$0.721926\pi$
$788$	1.16181	−	22.1686i	0.0413876	−	0.789723i
$789$	13.2781	−	14.7468i	0.472711	−	0.524999i
$790$	−2.95639	−	0.149383i	−0.105184	−	0.00531482i
$791$	13.2377	−	45.1931i	0.470678	−	1.60688i
$792$	−0.633938	+	0.100406i	−0.0225260	+	0.00356777i
$793$	3.08717	−	11.5215i	0.109629	−	0.409139i
$794$	−3.89193	+	1.73280i	−0.138120	+	0.0614948i
$795$	46.7115	−	27.0857i	1.65669	−	0.960632i
$796$	8.06958	−	18.1246i	0.286019	−	0.642408i
$797$	16.9146	+	2.67901i	0.599145	+	0.0948953i	0.448638	−	0.893714i	$-0.351909\pi$
$797$	16.9146	+	2.67901i	0.599145	+	0.0948953i	0.150507	+	0.988609i	$0.451909\pi$
$798$	9.20964	−	0.752959i	0.326018	−	0.0266544i
$799$		−	2.19545i		−	0.0776695i
$800$	3.89750	+	3.13202i	0.137797	+	0.110734i
$801$	28.4519	+	16.4267i	1.00530	+	0.580410i
$802$	−29.2789	+	19.0140i	−1.03387	+	0.671406i
$803$	−0.856380	+	0.328733i	−0.0302210	+	0.0116007i
$804$	−16.7414	+	12.1634i	−0.590425	+	0.428969i
$805$	−15.0405	+	36.8214i	−0.530109	+	1.29778i
$806$	5.32650	+	3.86993i	0.187618	+	0.136312i
$807$	−44.7306	−	11.9855i	−1.57459	−	0.421911i
$808$	4.50516	−	11.7363i	0.158491	−	0.412883i
$809$	−4.08276	+	3.67613i	−0.143542	+	0.129246i	−0.737774	−	0.675048i	$-0.764123\pi$
$809$	−4.08276	+	3.67613i	−0.143542	+	0.129246i	0.594232	+	0.804294i	$0.297456\pi$
$810$	16.2344	+	16.1737i	0.570419	+	0.568285i
$811$	39.8528	−	12.9490i	1.39942	−	0.454699i	0.490417	−	0.871488i	$-0.336844\pi$
$811$	39.8528	−	12.9490i	1.39942	−	0.454699i	0.909004	+	0.416788i	$0.136844\pi$
$812$	−20.5865	−	0.476530i	−0.722445	−	0.0167229i
$813$	33.7339	−	17.1883i	1.18310	−	0.602819i
$814$	0.825147	+	0.742966i	0.0289214	+	0.0260409i
$815$	29.8242	+	7.93150i	1.04470	+	0.277828i
$816$	−3.45941	−	3.84206i	−0.121103	−	0.134499i
$817$	0.397034	−	0.321512i	0.0138905	−	0.0112483i
$818$	−6.60523	+	6.60523i	−0.230946	+	0.230946i
$819$	1.06616	−	14.0939i	0.0372547	−	0.492479i
$820$	15.9953	−	1.71148i	0.558579	−	0.0597675i
$821$	−36.3373	−	16.1784i	−1.26818	−	0.564631i	−0.341289	−	0.939958i	$-0.610864\pi$
$821$	−36.3373	−	16.1784i	−1.26818	−	0.564631i	−0.926892	+	0.375328i	$0.877530\pi$
$822$	−20.1241	+	24.8512i	−0.701908	+	0.866784i
$823$	17.3439	+	26.7072i	0.604569	+	0.930955i	0.999923	+	0.0124256i	$0.00395530\pi$
$823$	17.3439	+	26.7072i	0.604569	+	0.930955i	−0.395354	+	0.918529i	$0.629378\pi$
$824$	1.13202	+	1.96071i	0.0394356	+	0.0683045i
$825$	−2.91008	−	0.768075i	−0.101316	−	0.0267409i
$826$	−0.999105	−	34.1871i	−0.0347633	−	1.18952i
$827$	−21.0963	−	10.7491i	−0.733591	−	0.373783i	0.0469423	−	0.998898i	$-0.485052\pi$
$827$	−21.0963	−	10.7491i	−0.733591	−	0.373783i	−0.780533	+	0.625114i	$0.785052\pi$
$828$	−6.02540	−	15.6967i	−0.209397	−	0.545498i
$829$	−3.67490	−	34.9643i	−0.127635	−	1.21436i	−0.851475	−	0.524395i	$-0.824292\pi$
$829$	−3.67490	−	34.9643i	−0.127635	−	1.21436i	0.723841	−	0.689967i	$-0.242375\pi$
$830$	6.06879	+	10.4661i	0.210651	+	0.363284i
$831$	15.2052	+	1.59813i	0.527463	+	0.0554386i
$832$	−1.51050	−	1.51050i	−0.0523673	−	0.0523673i
$833$	−4.67902	+	14.7038i	−0.162119	+	0.509456i
$834$	−9.32340	−	3.02936i	−0.322843	−	0.104898i
$835$	17.1165	+	33.4380i	0.592342	+	1.15717i
$836$	−0.0794602	+	0.373831i	−0.00274819	+	0.0129292i
$837$	−3.60347	−	0.188850i	−0.124554	−	0.00652761i
$838$	19.8122	−	30.5080i	0.684400	−	1.05388i
$839$	−4.90936	−	15.1094i	−0.169490	−	0.521636i	0.829849	−	0.557988i	$-0.188426\pi$
$839$	−4.90936	−	15.1094i	−0.169490	−	0.521636i	−0.999339	+	0.0363516i	$0.988426\pi$
$840$	7.91521	+	11.3964i	0.273101	+	0.393214i
$841$	−9.75749	+	30.0305i	−0.336465	+	1.03553i
$842$	4.70758	+	5.81338i	0.162234	+	0.200342i
$843$	−0.198992	−	0.742649i	−0.00685366	−	0.0255782i
$844$	8.83478	+	19.8432i	0.304106	+	0.683033i
$845$	5.79602	−	17.9527i	0.199389	−	0.617592i
$846$	−1.46402	−	2.01506i	−0.0503342	−	0.0692791i
$847$	26.6932	−	11.1517i	0.917188	−	0.383179i
$848$	4.67425	−	9.17373i	0.160514	−	0.315027i
$849$	15.0001	−	8.66030i	0.514801	−	0.297221i
$850$	−3.44514	−	10.4694i	−0.118167	−	0.359097i
$851$	−14.5431	+	25.1894i	−0.498532	+	0.863483i
$852$	36.3129	−	1.90308i	1.24406	−	0.0651985i
$853$	−3.49151	+	22.0445i	−0.119547	+	0.754789i	0.852970	+	0.521959i	$0.174799\pi$
$853$	−3.49151	+	22.0445i	−0.119547	+	0.754789i	−0.972517	+	0.232830i	$0.925201\pi$
$854$	1.97276	+	14.6409i	0.0675065	+	0.501003i
$855$	−7.60083	+	3.40119i	−0.259943	+	0.116318i
$856$	0.514645	−	4.89652i	0.0175902	−	0.167360i
$857$	−3.40430	+	0.912180i	−0.116289	+	0.0311595i	−0.316494	−	0.948594i	$-0.602506\pi$
$857$	−3.40430	+	0.912180i	−0.116289	+	0.0311595i	0.200205	+	0.979754i	$0.435839\pi$
$858$	1.20046	+	0.460812i	0.0409829	+	0.0157319i
$859$	3.74621	−	0.796281i	0.127819	−	0.0271688i	−0.143558	−	0.989642i	$-0.545854\pi$
$859$	3.74621	−	0.796281i	0.127819	−	0.0271688i	0.271377	+	0.962473i	$0.412521\pi$
$860$	0.716715	+	0.273581i	0.0244398	+	0.00932905i
$861$	43.9187	+	8.00199i	1.49675	+	0.272707i
$862$	−2.92437	−	5.73940i	−0.0996045	−	0.195485i
$863$	4.97680	+	3.23197i	0.169412	+	0.110018i	0.626560	−	0.779373i	$-0.284462\pi$
$863$	4.97680	+	3.23197i	0.169412	+	0.110018i	−0.457148	+	0.889391i	$0.651129\pi$
$864$	1.14518	+	0.243416i	0.0389598	+	0.00828117i
$865$	−7.15472	−	18.5348i	−0.243268	−	0.630202i
$866$	−0.696374	−	3.27618i	−0.0236637	−	0.111329i
$867$	−4.45449	−	28.1245i	−0.151282	−	0.955160i
$868$	−7.93492	−	1.87954i	−0.269329	−	0.0637958i
$869$	0.199707	−	0.274873i	0.00677460	−	0.00932444i
$870$	38.7963	−	12.6861i	1.31532	−	0.430099i
$871$	18.7445	−	1.97012i	0.635132	−	0.0667550i
$872$	6.60636	+	5.34972i	0.223720	+	0.181165i
$873$	−1.10590	−	21.1019i	−0.0374292	−	0.714192i
$874$	−10.0115			−0.338645
$875$	5.64222	+	29.0373i	0.190742	+	0.981640i
$876$	−8.38271			−0.283225
$877$	1.94817	+	37.1732i	0.0657849	+	1.25525i	0.809647	+	0.586917i	$0.199659\pi$
$877$	1.94817	+	37.1732i	0.0657849	+	1.25525i	−0.743862	+	0.668333i	$0.767008\pi$
$878$	1.46608	+	1.18721i	0.0494779	+	0.0400664i
$879$	60.5284	−	6.36180i	2.04157	−	0.214578i
$880$	−0.545469	+	0.178364i	−0.0183878	+	0.00601266i
$881$	−6.77854	+	9.32986i	−0.228375	+	0.314331i	−0.907792	−	0.419422i	$-0.862233\pi$
$881$	−6.77854	+	9.32986i	−0.228375	+	0.314331i	0.679417	+	0.733753i	$0.262233\pi$
$882$	5.51058	+	16.6158i	0.185551	+	0.559483i
$883$	−5.13503	−	32.4213i	−0.172808	−	1.09106i	−0.909765	−	0.415124i	$-0.863738\pi$
$883$	−5.13503	−	32.4213i	−0.172808	−	1.09106i	0.736957	−	0.675940i	$-0.236262\pi$
$884$	0.979023	+	4.60594i	0.0329281	+	0.154915i
$885$	24.4141	+	63.2464i	0.820671	+	2.12600i
$886$	−11.7004	−	2.48700i	−0.393083	−	0.0835524i
$887$	39.9802	+	25.9635i	1.34241	+	0.871768i	0.997755	−	0.0669631i	$-0.0213310\pi$
$887$	39.9802	+	25.9635i	1.34241	+	0.871768i	0.344650	+	0.938731i	$0.387998\pi$
$888$	4.60653	+	9.04083i	0.154585	+	0.303390i
$889$	46.9025	−	16.7695i	1.57306	−	0.562431i
$890$	27.4440	+	10.4758i	0.919924	+	0.351149i
$891$	−2.57278	+	0.546861i	−0.0861914	+	0.0183205i
$892$	−11.7151	−	4.49699i	−0.392249	−	0.150570i
$893$	−1.43257	+	0.383857i	−0.0479393	+	0.0128453i
$894$	5.56841	−	52.9799i	0.186236	−	1.77191i
$895$	−38.4201	+	17.1921i	−1.28424	+	0.574667i
$896$	2.44742	+	1.00506i	0.0817625	+	0.0335766i
$897$	−5.26935	+	33.2694i	−0.175939	+	1.11083i
$898$	16.2835	−	0.853383i	0.543388	−	0.0284778i
$899$	−11.9941	+	20.7744i	−0.400025	+	0.692864i
$900$	−10.1435	−	7.31176i	−0.338117	−	0.243725i
$901$	−19.6550	+	11.3478i	−0.654802	+	0.378050i
$902$	−0.838242	+	1.64514i	−0.0279104	+	0.0547772i
$903$	1.69292	+	1.29088i	0.0563369	+	0.0429576i
$904$	10.4620	+	14.3998i	0.347962	+	0.478929i
$905$	−11.9861	+	37.1259i	−0.398430	+	1.23411i
$906$	−12.5659	−	28.2234i	−0.417473	−	0.937660i
$907$	−3.32627	−	12.4138i	−0.110447	−	0.412193i	0.888459	−	0.458956i	$-0.151776\pi$
$907$	−3.32627	−	12.4138i	−0.110447	−	0.412193i	−0.998906	+	0.0467623i	$0.985110\pi$
$908$	10.1625	+	12.5496i	0.337253	+	0.416473i
$909$	−9.71507	+	29.8999i	−0.322229	+	0.991718i
$910$	−1.05340	−	12.5938i	−0.0349199	−	0.417481i
$911$	−3.86663	−	11.9003i	−0.128107	−	0.394274i	0.866347	−	0.499442i	$-0.166462\pi$
$911$	−3.86663	−	11.9003i	−0.128107	−	0.394274i	−0.994454	+	0.105169i	$0.966462\pi$
$912$	−1.90217	+	2.92908i	−0.0629871	+	0.0969916i
$913$	−1.38672	−	0.0726750i	−0.0458938	−	0.00240519i
$914$	−0.479055	+	2.25378i	−0.0158457	+	0.0745483i
$915$	−13.3434	−	26.0670i	−0.441119	−	0.861748i
$916$	17.4541	+	5.67118i	0.576699	+	0.187381i
$917$	−35.0511	+	30.1210i	−1.15749	+	0.994683i
$918$	−1.82487	−	1.82487i	−0.0602296	−	0.0602296i
$919$	2.51316	+	0.264144i	0.0829015	+	0.00871330i	0.145888	−	0.989301i	$-0.453396\pi$
$919$	2.51316	+	0.264144i	0.0829015	+	0.00871330i	−0.0629869	+	0.998014i	$0.520063\pi$
$920$	−7.54111	−	13.0052i	−0.248623	−	0.428770i
$921$	−2.16035	−	20.5544i	−0.0711861	−	0.677291i
$922$	11.5070	+	29.9769i	0.378964	+	0.987235i
$923$	−29.5094	−	15.0358i	−0.971315	−	0.494910i
$924$	−1.59192	+	0.0465233i	−0.0523704	+	0.00153050i
$925$	1.21305	+	21.5973i	0.0398848	+	0.710115i
$926$	0.0707909	+	0.122613i	0.00232633	+	0.00402933i
$927$	−3.08371	−	4.74850i	−0.101282	−	0.155961i
$928$	4.89803	−	6.04857i	0.160786	−	0.198554i
$929$	−13.9382	−	6.20570i	−0.457299	−	0.203603i	0.165141	−	0.986270i	$-0.447192\pi$
$929$	−13.9382	−	6.20570i	−0.457299	−	0.203603i	−0.622440	+	0.782667i	$0.713859\pi$
$930$	16.0722	−	1.71971i	0.527027	−	0.0563915i
$931$	10.4126	+	0.482314i	0.341259	+	0.0158072i
$932$	−2.69025	+	2.69025i	−0.0881221	+	0.0881221i
$933$	6.31286	−	5.11205i	0.206674	−	0.167361i
$934$	7.93567	+	8.81345i	0.259663	+	0.288385i
$935$	1.22255	+	0.325127i	0.0399817	+	0.0106328i
$936$	3.97002	+	3.57463i	0.129764	+	0.116840i
$937$	−18.4237	+	9.38736i	−0.601877	+	0.306672i	−0.728250	−	0.685311i	$-0.759666\pi$
$937$	−18.4237	+	9.38736i	−0.601877	+	0.306672i	0.126374	+	0.991983i	$0.459666\pi$
$938$	−20.4810	+	11.2009i	−0.668727	+	0.365723i
$939$	−34.8437	+	11.3214i	−1.13708	+	0.369460i
$940$	−1.57772	−	1.57182i	−0.0514595	−	0.0512670i
$941$	−3.63866	+	3.27626i	−0.118617	+	0.106803i	−0.726305	−	0.687373i	$-0.758764\pi$
$941$	−3.63866	+	3.27626i	−0.118617	+	0.106803i	0.607688	+	0.794176i	$0.292097\pi$
$942$	7.67078	−	19.9831i	0.249928	−	0.651083i
$943$	−46.7193	−	12.5184i	−1.52139	−	0.407655i
$944$	10.4582	+	7.59831i	0.340385	+	0.247304i
$945$	4.24342	+	5.47426i	0.138038	+	0.178078i
$946$	−0.0712361	+	0.0517561i	−0.00231609	+	0.00168273i
$947$	43.0657	−	16.5314i	1.39945	−	0.537197i	0.462484	−	0.886628i	$-0.346958\pi$
$947$	43.0657	−	16.5314i	1.39945	−	0.537197i	0.936962	+	0.349431i	$0.113625\pi$
$948$	2.60397	−	1.69104i	0.0845730	−	0.0549224i
$949$	6.61208	+	3.81749i	0.214637	+	0.123921i
$950$	−6.22912	+	4.07851i	−0.202099	+	0.132324i
$951$			15.4292i			0.500327i
$952$	−3.31792	−	4.79634i	−0.107535	−	0.155450i
$953$	1.02506	+	0.162354i	0.0332050	+	0.00525915i	0.173015	−	0.984919i	$-0.444649\pi$
$953$	1.02506	+	0.162354i	0.0332050	+	0.00525915i	−0.139810	+	0.990178i	$0.544649\pi$
$954$	−10.4728	+	23.5222i	−0.339068	+	0.761559i
$955$	3.18178	−	1.84496i	0.102960	−	0.0597015i
$956$	17.8199	−	7.93394i	0.576337	−	0.256602i
$957$	−1.21256	+	4.52534i	−0.0391966	+	0.146284i
$958$	−18.1802	+	2.87947i	−0.587377	+	0.0930313i
$959$	−26.0907	+	24.9102i	−0.842514	+	0.804392i
$960$	−5.23775	−	0.264658i	−0.169048	−	0.00854180i
$961$	14.3867	−	15.9781i	0.464088	−	0.515422i
$962$	0.483672	−	9.22901i	0.0155942	−	0.297555i
$963$	−0.644401	+	12.2959i	−0.0207655	+	0.396230i
$964$	−17.1136	+	19.0066i	−0.551191	+	0.612160i
$965$	−21.5454	+	14.0492i	−0.693571	+	0.452260i
$966$	−9.86230	−	40.5368i	−0.317314	−	1.30425i
$967$	9.87276	−	1.56369i	0.317487	−	0.0502849i	0.00434251	−	0.999991i	$-0.498618\pi$
$967$	9.87276	−	1.56369i	0.317487	−	0.0502849i	0.313144	+	0.949706i	$0.398618\pi$
$968$	−2.82996	+	10.5616i	−0.0909584	+	0.339461i
$969$	7.03311	−	3.13134i	0.225936	−	0.100593i
$970$	−3.96287	−	18.4736i	−0.127240	−	0.593150i
$971$	−0.535560	+	1.20289i	−0.0171869	+	0.0386025i	−0.921935	−	0.387345i	$-0.873392\pi$
$971$	−0.535560	+	1.20289i	−0.0171869	+	0.0386025i	0.904748	+	0.425947i	$0.140059\pi$
$972$	−20.2713	−	3.21067i	−0.650204	−	0.102982i
$973$	−9.99581	−	4.73055i	−0.320451	−	0.151655i
$974$		−	26.9540i		−	0.863661i
$975$	10.2748	+	22.8467i	0.329056	+	0.731679i
$976$	−4.83568	−	2.79188i	−0.154786	−	0.0893659i
$977$	−21.1484	+	13.7340i	−0.676598	+	0.439388i	−0.836663	−	0.547718i	$-0.815497\pi$
$977$	−21.1484	+	13.7340i	−0.676598	+	0.439388i	0.160064	+	0.987107i	$0.448830\pi$
$978$	−30.2196	+	11.6002i	−0.966315	+	0.370934i
$979$	−2.72772	+	1.98181i	−0.0871784	+	0.0633388i
$980$	7.21668	+	13.8895i	0.230528	+	0.443685i
$981$	−17.1989	−	12.4957i	−0.549118	−	0.398957i
$982$	−37.7275	−	10.1090i	−1.20393	−	0.322592i
$983$	0.000614003	−	0.00159953i	1.95837e−5	−	5.10172e-5i	−0.933571	−	0.358393i	$-0.883325\pi$
$983$	0.000614003	−	0.00159953i	1.95837e−5	−	5.10172e-5i	0.933590	+	0.358342i	$0.116658\pi$
$984$	−12.5391	+	11.2902i	−0.399731	+	0.359920i
$985$	7.85703	+	49.0127i	0.250346	+	1.56167i
$986$	−16.3167	+	5.30163i	−0.519631	+	0.168838i
$987$	−2.96546	−	5.42238i	−0.0943917	−	0.172596i
$988$	2.83429	−	1.44414i	0.0901708	−	0.0459443i
$989$	−1.71414	−	1.54342i	−0.0545064	−	0.0490778i
$990$	1.33891	−	0.516839i	0.0425532	−	0.0164262i
$991$	−39.5230	−	43.8948i	−1.25549	−	1.39436i	−0.885042	−	0.465511i	$-0.845871\pi$
$991$	−39.5230	−	43.8948i	−1.25549	−	1.39436i	−0.370449	−	0.928853i	$-0.620796\pi$
$992$	2.39524	−	1.93963i	0.0760491	−	0.0615833i
$993$	30.3748	−	30.3748i	0.963916	−	0.963916i
$994$	40.9028	+	3.09418i	1.29736	+	0.0981416i
$995$	−9.14229	+	43.4109i	−0.289830	+	1.37622i
$996$	−11.5927	−	5.16140i	−0.367329	−	0.163545i
$997$	15.6388	−	19.3123i	0.495285	−	0.611626i	−0.466804	−	0.884361i	$-0.654595\pi$
$997$	15.6388	−	19.3123i	0.495285	−	0.611626i	0.962089	+	0.272735i	$0.0879281\pi$
$998$	−12.5021	−	19.2516i	−0.395749	−	0.609399i
$999$	2.53252	+	4.38646i	0.0801255	+	0.138781i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.283.18	yes	320
7.5	odd	6	inner	350.2.x.a.33.18	✓	320
25.22	odd	20	inner	350.2.x.a.297.18	yes	320
175.47	even	60	inner	350.2.x.a.47.18	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.18	✓	320	7.5	odd	6	inner
350.2.x.a.47.18	yes	320	175.47	even	60	inner
350.2.x.a.283.18	yes	320	1.1	even	1	trivial
350.2.x.a.297.18	yes	320	25.22	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+(0.0523360 + 0.998630i) q^{2} +(1.82270 + 1.47600i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(2.12533 - 0.694967i) q^{5} +(-1.37858 + 1.89745i) q^{6} +(-1.81538 + 1.92468i) q^{7} +(-0.156434 - 0.987688i) q^{8} +(0.519950 + 2.44617i) q^{9} +(0.805246 + 2.08604i) q^{10} +(-0.251043 - 0.0533609i) q^{11} +(-1.96700 - 1.27739i) q^{12} +(0.969804 + 1.90335i) q^{13} +(-2.01705 - 1.71216i) q^{14} +(4.89962 + 1.87026i) q^{15} +(0.978148 - 0.207912i) q^{16} +(-2.05792 - 0.789962i) q^{17} +(-2.41561 + 0.647260i) q^{18} +(-0.155654 + 1.48095i) q^{19} +(-2.04104 + 0.913317i) q^{20} +(-6.14973 + 0.828631i) q^{21} +(0.0401492 - 0.253492i) q^{22} +(6.71395 - 0.351863i) q^{23} +(1.17269 - 2.03116i) q^{24} +(4.03404 - 2.95407i) q^{25} +(-1.84998 + 1.06809i) q^{26} +(0.531516 - 1.04316i) q^{27} +(1.60425 - 2.10390i) q^{28} +(-4.57476 - 6.29662i) q^{29} +(-1.61127 + 4.99078i) q^{30} +(-1.25360 - 2.81564i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-0.378817 - 0.467800i) q^{33} +(0.681176 - 2.09644i) q^{34} +(-2.52069 + 5.35221i) q^{35} +(-0.772796 - 2.37842i) q^{36} +(-2.35626 + 3.62832i) q^{37} +(-1.48707 - 0.0779340i) q^{38} +(-1.04167 + 4.90067i) q^{39} +(-1.01889 - 1.99045i) q^{40} +(-6.84202 - 2.22311i) q^{41} +(-1.14935 - 6.09793i) q^{42} +(-0.242596 - 0.242596i) q^{43} +(0.255246 + 0.0268274i) q^{44} +(2.80507 + 4.83757i) q^{45} +(0.702762 + 6.68634i) q^{46} +(0.356924 + 0.929819i) q^{47} +(2.08975 + 1.06478i) q^{48} +(-0.408796 - 6.98805i) q^{49} +(3.16114 + 3.87391i) q^{50} +(-2.58500 - 4.47735i) q^{51} +(-1.16344 - 1.79155i) q^{52} +(6.47943 - 8.00143i) q^{53} +(1.06955 + 0.476193i) q^{54} +(-0.570633 + 0.0610573i) q^{55} +(2.18497 + 1.49194i) q^{56} +(-2.46959 + 2.46959i) q^{57} +(6.04857 - 4.89803i) q^{58} +(8.64987 + 9.60665i) q^{59} +(-5.06827 - 1.34786i) q^{60} +(-4.14954 - 3.73627i) q^{61} +(2.74618 - 1.39925i) q^{62} +(-5.65201 - 3.43999i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(3.38391 + 3.37126i) q^{65} +(0.447333 - 0.402781i) q^{66} +(3.16192 - 8.23708i) q^{67} +(2.12922 + 0.570523i) q^{68} +(12.7569 + 9.26844i) q^{69} +(-5.47680 - 2.23712i) q^{70} +(-12.5430 + 9.11301i) q^{71} +(2.33472 - 0.896214i) q^{72} +(2.99752 - 1.94661i) q^{73} +(-3.74666 - 2.16314i) q^{74} +(11.7131 + 0.569844i) q^{75} -1.48911i q^{76} +(0.558441 - 0.386308i) q^{77} +(-4.94847 - 0.783760i) q^{78} +(-0.538449 + 1.20938i) q^{79} +(1.93439 - 1.12166i) q^{80} +(9.36234 - 4.16838i) q^{81} +(1.86198 - 6.94900i) q^{82} +(5.34393 - 0.846395i) q^{83} +(6.02942 - 1.46691i) q^{84} +(-4.92275 - 0.248741i) q^{85} +(0.229567 - 0.254960i) q^{86} +(0.955353 - 18.2292i) q^{87} +(-0.0134321 + 0.256300i) q^{88} +(8.79042 - 9.76275i) q^{89} +(-4.68414 + 3.05441i) q^{90} +(-5.42390 - 1.58873i) q^{91} +(-6.64039 + 1.05174i) q^{92} +(1.87093 - 6.98240i) q^{93} +(-0.909865 + 0.405098i) q^{94} +(0.698396 + 3.25568i) q^{95} +(-0.953953 + 2.14261i) q^{96} +(-8.34554 - 1.32180i) q^{97} +(6.95708 - 0.773962i) q^{98} -0.641840i 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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