LMFDB - Embedded newform 196.2.p.a.3.15

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [196,2,Mod(3,196)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("196.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(196, base_ring=CyclotomicField(42)) chi = DirichletCharacter(H, H._module([21, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 196 = 2^{2} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	196.p (of order $42$, degree $12$, 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:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$312$
Relative dimension:	$26$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			3.15
Character	$\chi$	$=$	196.3
Dual form			196.2.p.a.131.15

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.190830 + 1.40128i) q^{2} +(0.229583 - 3.06358i) q^{3} +(-1.92717 + 0.534812i) q^{4} +(-0.107063 + 0.157032i) q^{5} +(4.33674 - 0.262912i) q^{6} +(1.48187 - 2.19182i) q^{7} +(-1.11718 - 2.59844i) q^{8} +(-6.36629 - 0.959564i) q^{9} +(-0.240477 - 0.120058i) q^{10} +(-0.244288 - 1.62074i) q^{11} +(1.19599 + 6.02681i) q^{12} +(1.60830 - 1.28258i) q^{13} +(3.35413 + 1.65825i) q^{14} +(0.456500 + 0.364047i) q^{15} +(3.42795 - 2.06135i) q^{16} +(0.458453 - 1.48627i) q^{17} +(0.129739 - 9.10407i) q^{18} +(3.89195 + 6.74105i) q^{19} +(0.122345 - 0.359886i) q^{20} +(-6.37459 - 5.04302i) q^{21} +(2.22450 - 0.651602i) q^{22} +(-1.84780 - 5.99043i) q^{23} +(-8.21701 + 2.82601i) q^{24} +(1.81351 + 4.62074i) q^{25} +(2.10416 + 2.00892i) q^{26} +(-2.35043 + 10.2979i) q^{27} +(-1.68360 + 5.01652i) q^{28} +(1.13810 + 4.98634i) q^{29} +(-0.423017 + 0.709155i) q^{30} +(-1.74446 + 3.02149i) q^{31} +(3.54268 + 4.41015i) q^{32} +(-5.02136 + 0.376299i) q^{33} +(2.17016 + 0.358796i) q^{34} +(0.185533 + 0.467363i) q^{35} +(12.7821 - 1.55553i) q^{36} +(-3.14238 + 2.91570i) q^{37} +(-8.70339 + 6.74010i) q^{38} +(-3.56003 - 5.22160i) q^{39} +(0.527648 + 0.102763i) q^{40} +(3.64222 + 7.56316i) q^{41} +(5.85022 - 9.89494i) q^{42} +(1.07292 - 2.22793i) q^{43} +(1.33758 + 2.99280i) q^{44} +(0.832275 - 0.896980i) q^{45} +(8.04164 - 3.73244i) q^{46} +(3.23001 - 8.22993i) q^{47} +(-5.52809 - 10.9750i) q^{48} +(-2.60813 - 6.49597i) q^{49} +(-6.12888 + 3.42301i) q^{50} +(-4.44804 - 1.74573i) q^{51} +(-2.41353 + 3.33188i) q^{52} +(-1.93087 - 1.79159i) q^{53} +(-14.8788 - 1.32846i) q^{54} +(0.280663 + 0.135160i) q^{55} +(-7.35083 - 1.40189i) q^{56} +(21.5452 - 10.3756i) q^{57} +(-6.77007 + 2.54634i) q^{58} +(-3.54854 + 2.41935i) q^{59} +(-1.07445 - 0.457438i) q^{60} +(7.59889 + 8.18965i) q^{61} +(-4.56685 - 1.86788i) q^{62} +(-11.5372 + 12.5318i) q^{63} +(-5.50381 + 5.80587i) q^{64} +(0.0292168 + 0.389871i) q^{65} +(-1.48552 - 6.96452i) q^{66} +(3.15239 + 1.82004i) q^{67} +(-0.0886418 + 3.10947i) q^{68} +(-18.7763 + 4.28558i) q^{69} +(-0.619501 + 0.349171i) q^{70} +(-12.1915 - 2.78262i) q^{71} +(4.61894 + 17.6145i) q^{72} +(14.1073 - 5.53669i) q^{73} +(-4.68537 - 3.84695i) q^{74} +(14.5723 - 4.49497i) q^{75} +(-11.1056 - 10.9097i) q^{76} +(-3.91438 - 1.86630i) q^{77} +(6.63757 - 5.98503i) q^{78} +(8.40553 - 4.85293i) q^{79} +(-0.0433084 + 0.758992i) q^{80} +(12.5523 + 3.87186i) q^{81} +(-9.90305 + 6.54705i) q^{82} +(0.803223 - 1.00721i) q^{83} +(14.9820 + 6.30954i) q^{84} +(0.184309 + 0.231116i) q^{85} +(3.32670 + 1.07830i) q^{86} +(15.5373 - 2.34187i) q^{87} +(-3.93850 + 2.44544i) q^{88} +(0.794215 - 5.26927i) q^{89} +(1.41574 + 0.995080i) q^{90} +(-0.427884 - 5.42571i) q^{91} +(6.76478 + 10.5563i) q^{92} +(8.85607 + 6.03797i) q^{93} +(12.1488 + 2.95563i) q^{94} +(-1.47524 - 0.110554i) q^{95} +(14.3242 - 9.84076i) q^{96} -8.07084i q^{97} +(8.60496 - 4.89434i) q^{98} +10.5525i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) $ 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$.

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

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 $

$2$	0.190830	+	1.40128i	0.134937	+	0.990854i
$2$	0.190830	+	1.40128i	0.134937	+	0.990854i
$3$	0.229583	−	3.06358i	0.132550	−	1.76876i	−0.394475	−	0.918906i	$-0.629074\pi$
$3$	0.229583	−	3.06358i	0.132550	−	1.76876i	0.527025	−	0.849850i	$-0.323307\pi$
$4$	−1.92717	+	0.534812i	−0.963584	+	0.267406i
$5$	−0.107063	+	0.157032i	−0.0478799	+	0.0702270i	−0.849432	−	0.527698i	$-0.823055\pi$
$5$	−0.107063	+	0.157032i	−0.0478799	+	0.0702270i	0.801552	+	0.597925i	$0.204008\pi$
$6$	4.33674	−	0.262912i	1.77047	−	0.107333i
$7$	1.48187	−	2.19182i	0.560094	−	0.828429i
$7$	1.48187	−	2.19182i	0.560094	−	0.828429i
$8$	−1.11718	−	2.59844i	−0.394984	−	0.918688i
$9$	−6.36629	−	0.959564i	−2.12210	−	0.319855i
$10$	−0.240477	−	0.120058i	−0.0760455	−	0.0379658i
$11$	−0.244288	−	1.62074i	−0.0736556	−	0.488673i	−0.994996	−	0.0999158i	$-0.968143\pi$
$11$	−0.244288	−	1.62074i	−0.0736556	−	0.488673i	0.921340	−	0.388757i	$-0.127095\pi$
$12$	1.19599	+	6.02681i	0.345253	+	1.73979i
$13$	1.60830	−	1.28258i	0.446062	−	0.355723i	−0.374552	−	0.927206i	$-0.622203\pi$
$13$	1.60830	−	1.28258i	0.446062	−	0.355723i	0.820614	+	0.571484i	$0.193632\pi$
$14$	3.35413	+	1.65825i	0.896430	+	0.443185i
$15$	0.456500	+	0.364047i	0.117868	+	0.0939965i
$16$	3.42795	−	2.06135i	0.856988	−	0.515336i
$17$	0.458453	−	1.48627i	0.111191	−	0.360473i	−0.882826	−	0.469701i	$-0.844362\pi$
$17$	0.458453	−	1.48627i	0.111191	−	0.360473i	0.994017	+	0.109228i	$0.0348379\pi$
$18$	0.129739	−	9.10407i	0.0305797	−	2.14585i
$19$	3.89195	+	6.74105i	0.892874	+	1.54650i	0.836414	+	0.548098i	$0.184648\pi$
$19$	3.89195	+	6.74105i	0.892874	+	1.54650i	0.0564592	+	0.998405i	$0.482019\pi$
$20$	0.122345	−	0.359886i	0.0273572	−	0.0804729i
$21$	−6.37459	−	5.04302i	−1.39105	−	1.10048i
$22$	2.22450	−	0.651602i	0.474265	−	0.138922i
$23$	−1.84780	−	5.99043i	−0.385293	−	1.24909i	−0.915878	−	0.401458i	$-0.868504\pi$
$23$	−1.84780	−	5.99043i	−0.385293	−	1.24909i	0.530584	−	0.847632i	$-0.321973\pi$
$24$	−8.21701	+	2.82601i	−1.67729	+	0.576858i
$25$	1.81351	+	4.62074i	0.362702	+	0.924149i
$26$	2.10416	+	2.00892i	0.412660	+	0.393982i
$27$	−2.35043	+	10.2979i	−0.452340	+	1.98183i
$28$	−1.68360	+	5.01652i	−0.318170	+	0.948034i
$29$	1.13810	+	4.98634i	0.211340	+	0.925940i	0.963658	+	0.267140i	$0.0860786\pi$
$29$	1.13810	+	4.98634i	0.211340	+	0.925940i	−0.752318	+	0.658800i	$0.771064\pi$
$30$	−0.423017	+	0.709155i	−0.0772321	+	0.129473i
$31$	−1.74446	+	3.02149i	−0.313314	+	0.542676i	−0.979078	−	0.203487i	$-0.934773\pi$
$31$	−1.74446	+	3.02149i	−0.313314	+	0.542676i	0.665764	+	0.746163i	$0.268106\pi$
$32$	3.54268	+	4.41015i	0.626263	+	0.779612i
$33$	−5.02136	+	0.376299i	−0.874106	+	0.0655052i
$34$	2.17016	+	0.358796i	0.372180	+	0.0615331i
$35$	0.185533	+	0.467363i	0.0313608	+	0.0789988i
$36$	12.7821	−	1.55553i	2.13035	−	0.259255i
$37$	−3.14238	+	2.91570i	−0.516604	+	0.479338i	−0.894850	−	0.446367i	$-0.852718\pi$
$37$	−3.14238	+	2.91570i	−0.516604	+	0.479338i	0.378246	+	0.925705i	$0.376527\pi$
$38$	−8.70339	+	6.74010i	−1.41188	+	1.09339i
$39$	−3.56003	−	5.22160i	−0.570061	−	0.836126i
$40$	0.527648	+	0.102763i	0.0834285	+	0.0162482i
$41$	3.64222	+	7.56316i	0.568820	+	1.18117i	0.964819	+	0.262916i	$0.0846841\pi$
$41$	3.64222	+	7.56316i	0.568820	+	1.18117i	−0.395999	+	0.918251i	$0.629602\pi$
$42$	5.85022	−	9.89494i	0.902709	−	1.52682i
$43$	1.07292	−	2.22793i	0.163618	−	0.339756i	−0.803000	−	0.595980i	$-0.796764\pi$
$43$	1.07292	−	2.22793i	0.163618	−	0.339756i	0.966618	+	0.256223i	$0.0824782\pi$
$44$	1.33758	+	2.99280i	0.201647	+	0.451181i
$45$	0.832275	−	0.896980i	0.124068	−	0.133714i
$46$	8.04164	−	3.73244i	1.18568	−	0.550318i
$47$	3.23001	−	8.22993i	0.471145	−	1.20046i	−0.475941	−	0.879477i	$-0.657892\pi$
$47$	3.23001	−	8.22993i	0.471145	−	1.20046i	0.947086	−	0.320981i	$-0.104012\pi$
$48$	−5.52809	−	10.9750i	−0.797910	−	1.58411i
$49$	−2.60813	−	6.49597i	−0.372590	−	0.927996i
$50$	−6.12888	+	3.42301i	−0.866755	+	0.484086i
$51$	−4.44804	−	1.74573i	−0.622850	−	0.244451i
$52$	−2.41353	+	3.33188i	−0.334696	+	0.462048i
$53$	−1.93087	−	1.79159i	−0.265226	−	0.246093i	0.536338	−	0.844004i	$-0.319807\pi$
$53$	−1.93087	−	1.79159i	−0.265226	−	0.246093i	−0.801563	+	0.597910i	$0.795998\pi$
$54$	−14.8788	−	1.32846i	−2.02474	−	0.180780i
$55$	0.280663	+	0.135160i	0.0378446	+	0.0182250i
$56$	−7.35083	−	1.40189i	−0.982296	−	0.187336i
$57$	21.5452	−	10.3756i	2.85374	−	1.37429i
$58$	−6.77007	+	2.54634i	−0.888954	+	0.334351i
$59$	−3.54854	+	2.41935i	−0.461980	+	0.314973i	−0.771848	−	0.635807i	$-0.780667\pi$
$59$	−3.54854	+	2.41935i	−0.461980	+	0.314973i	0.309868	+	0.950780i	$0.399715\pi$
$60$	−1.07445	−	0.457438i	−0.138711	−	0.0590549i
$61$	7.59889	+	8.18965i	0.972938	+	1.04858i	0.998803	+	0.0489121i	$0.0155754\pi$
$61$	7.59889	+	8.18965i	0.972938	+	1.04858i	−0.0258654	+	0.999665i	$0.508234\pi$
$62$	−4.56685	−	1.86788i	−0.579990	−	0.237221i
$63$	−11.5372	+	12.5318i	−1.45355	+	1.57886i
$64$	−5.50381	+	5.80587i	−0.687976	+	0.725734i
$65$	0.0292168	+	0.389871i	0.00362390	+	0.0483575i
$66$	−1.48552	−	6.96452i	−0.182855	−	0.857273i
$67$	3.15239	+	1.82004i	0.385126	+	0.222353i	0.680046	−	0.733169i	$-0.261960\pi$
$67$	3.15239	+	1.82004i	0.385126	+	0.222353i	−0.294920	+	0.955522i	$0.595293\pi$
$68$	−0.0886418	+	3.10947i	−0.0107494	+	0.377079i
$69$	−18.7763	+	4.28558i	−2.26041	+	0.515923i
$70$	−0.619501	+	0.349171i	−0.0740446	+	0.0417339i
$71$	−12.1915	−	2.78262i	−1.44686	−	0.330237i	−0.574261	−	0.818672i	$-0.694711\pi$
$71$	−12.1915	−	2.78262i	−1.44686	−	0.330237i	−0.872600	+	0.488436i	$0.837568\pi$
$72$	4.61894	+	17.6145i	0.544347	+	2.07588i
$73$	14.1073	−	5.53669i	1.65113	−	0.648020i	0.656770	−	0.754091i	$-0.271922\pi$
$73$	14.1073	−	5.53669i	1.65113	−	0.648020i	0.994359	+	0.106070i	$0.0338269\pi$
$74$	−4.68537	−	3.84695i	−0.544663	−	0.447198i
$75$	14.5723	−	4.49497i	1.68267	−	0.519035i
$76$	−11.1056	−	10.9097i	−1.27390	−	1.25143i
$77$	−3.91438	−	1.86630i	−0.446085	−	0.212684i
$78$	6.63757	−	5.98503i	0.751556	−	0.677672i
$79$	8.40553	−	4.85293i	0.945696	−	0.545998i	0.0539546	−	0.998543i	$-0.482817\pi$
$79$	8.40553	−	4.85293i	0.945696	−	0.545998i	0.891741	+	0.452546i	$0.149484\pi$
$80$	−0.0433084	+	0.758992i	−0.00484203	+	0.0848579i
$81$	12.5523	+	3.87186i	1.39469	+	0.430206i
$82$	−9.90305	+	6.54705i	−1.09361	+	0.723001i
$83$	0.803223	−	1.00721i	0.0881652	−	0.110556i	−0.735792	−	0.677207i	$-0.763190\pi$
$83$	0.803223	−	1.00721i	0.0881652	−	0.110556i	0.823957	+	0.566652i	$0.191761\pi$
$84$	14.9820	+	6.30954i	1.63467	+	0.688428i
$85$	0.184309	+	0.231116i	0.0199911	+	0.0250680i
$86$	3.32670	+	1.07830i	0.358727	+	0.116276i
$87$	15.5373	−	2.34187i	1.66578	−	0.251075i
$88$	−3.93850	+	2.44544i	−0.419845	+	0.260684i
$89$	0.794215	−	5.26927i	0.0841866	−	0.558542i	−0.906482	−	0.422245i	$-0.861242\pi$
$89$	0.794215	−	5.26927i	0.0841866	−	0.558542i	0.990668	−	0.136296i	$-0.0435199\pi$
$90$	1.41574	+	0.995080i	0.149232	+	0.104891i
$91$	−0.427884	−	5.42571i	−0.0448544	−	0.568769i
$92$	6.76478	+	10.5563i	0.705277	+	1.10057i
$93$	8.85607	+	6.03797i	0.918332	+	0.626108i
$94$	12.1488	+	2.95563i	1.25305	+	0.304850i
$95$	−1.47524	−	0.110554i	−0.151357	−	0.0113426i
$96$	14.3242	−	9.84076i	1.46195	−	1.00437i
$97$		−	8.07084i		−	0.819470i	−0.912205	−	0.409735i	$-0.865621\pi$
$97$		−	8.07084i		−	0.819470i	0.912205	−	0.409735i	$-0.134379\pi$
$98$	8.60496	−	4.89434i	0.869233	−	0.494403i
$99$			10.5525i			1.06057i
$100$	−5.96616	−	7.93506i	−0.596616	−	0.793506i
$101$	−3.56820	−	0.267400i	−0.355049	−	0.0266073i	−0.103988	−	0.994579i	$-0.533160\pi$
$101$	−3.56820	−	0.267400i	−0.355049	−	0.0266073i	−0.251061	+	0.967971i	$0.580779\pi$
$102$	1.59743	−	6.56609i	0.158169	−	0.650139i
$103$	−0.210628	−	0.143604i	−0.0207538	−	0.0141497i	0.552899	−	0.833248i	$-0.313522\pi$
$103$	−0.210628	−	0.143604i	−0.0207538	−	0.0141497i	−0.573653	+	0.819099i	$0.694474\pi$
$104$	−5.12946	−	2.74620i	−0.502985	−	0.269287i
$105$	1.47440	−	0.461096i	0.143886	−	0.0449983i
$106$	2.14205	−	3.04758i	0.208054	−	0.296007i
$107$	−2.31237	+	15.3416i	−0.223545	+	1.48312i	0.542347	+	0.840155i	$0.317536\pi$
$107$	−2.31237	+	15.3416i	−0.223545	+	1.48312i	−0.765892	+	0.642970i	$0.777702\pi$
$108$	−0.977770	−	21.1028i	−0.0940860	−	2.03062i
$109$	−1.75530	+	0.264568i	−0.168127	+	0.0253411i	−0.232566	−	0.972581i	$-0.574712\pi$
$109$	−1.75530	+	0.264568i	−0.168127	+	0.0253411i	0.0644393	+	0.997922i	$0.479474\pi$
$110$	−0.135838	+	0.419080i	−0.0129517	+	0.0399577i
$111$	8.21103	+	10.2963i	0.779356	+	0.977282i
$112$	0.561682	−	10.5681i	0.0530740	−	0.998591i
$113$	−6.93118	+	8.69142i	−0.652030	+	0.817620i	−0.992450	−	0.122654i	$-0.960860\pi$
$113$	−6.93118	+	8.69142i	−0.652030	+	0.817620i	0.340419	+	0.940274i	$0.389431\pi$
$114$	18.6506	+	28.2109i	1.74679	+	2.64219i
$115$	1.13852	+	0.351187i	0.106168	+	0.0327484i
$116$	−4.86007	−	9.00085i	−0.451246	−	0.835708i
$117$	−11.4696	+	6.62199i	−1.06037	+	0.612203i
$118$	−4.06735	−	4.51081i	−0.374430	−	0.415253i
$119$	−2.57826	−	3.20730i	−0.236349	−	0.294013i
$120$	0.435961	−	1.59290i	0.0397976	−	0.145411i
$121$	7.94416	−	2.45045i	0.722197	−	0.222768i
$122$	−10.0259	+	12.2110i	−0.907702	+	1.10553i
$123$	24.0065	−	9.42185i	2.16459	−	0.849540i
$124$	1.74594	−	6.75588i	0.156790	−	0.606696i
$125$	−1.84622	−	0.421388i	−0.165131	−	0.0376901i
$126$	−19.7622	−	13.7754i	−1.76056	−	1.22721i
$127$	−18.1639	+	4.14580i	−1.61179	+	0.367880i	−0.931120	−	0.364712i	$-0.881167\pi$
$127$	−18.1639	+	4.14580i	−1.61179	+	0.367880i	−0.680668	+	0.732592i	$0.738310\pi$
$128$	−9.18593	−	6.60444i	−0.811930	−	0.583755i
$129$	−6.57911	−	3.79845i	−0.579259	−	0.334435i
$130$	−0.540743	+	0.115340i	−0.0474263	+	0.0101160i
$131$	1.23846	+	16.5262i	0.108205	+	1.44390i	0.742002	+	0.670397i	$0.233876\pi$
$131$	1.23846	+	16.5262i	0.108205	+	1.44390i	−0.633797	+	0.773499i	$0.718505\pi$
$132$	9.47575	−	3.41067i	0.824758	−	0.296861i
$133$	20.5425	+	1.45891i	1.78126	+	0.126504i
$134$	−1.94881	+	4.76470i	−0.168351	+	0.411608i
$135$	−1.36546	−	1.47161i	−0.117520	−	0.126656i
$136$	−4.37416	+	0.469169i	−0.375081	+	0.0402309i
$137$	−0.265314	+	0.180888i	−0.0226673	+	0.0154543i	−0.574601	−	0.818434i	$-0.694843\pi$
$137$	−0.265314	+	0.180888i	−0.0226673	+	0.0154543i	0.551933	+	0.833888i	$0.313890\pi$
$138$	−9.58838	−	25.4931i	−0.816217	−	2.17012i
$139$	−4.46993	+	2.15260i	−0.379134	+	0.182581i	−0.613738	−	0.789510i	$-0.710335\pi$
$139$	−4.46993	+	2.15260i	−0.379134	+	0.182581i	0.234604	+	0.972091i	$0.424621\pi$
$140$	−0.607505	−	0.801462i	−0.0513435	−	0.0677359i
$141$	−24.4714	−	11.7848i	−2.06087	−	0.992461i
$142$	1.57274	−	17.6147i	0.131981	−	1.47819i
$143$	−2.47162	−	2.29332i	−0.206687	−	0.191777i
$144$	−23.8013	+	9.83379i	−1.98345	+	0.819482i
$145$	−0.904865	−	0.355133i	−0.0751449	−	0.0294922i
$146$	10.4505	+	18.7116i	0.864892	+	1.54859i
$147$	−20.4997	+	6.49884i	−1.69079	+	0.536015i
$148$	4.49654	−	7.29962i	0.369613	−	0.600025i
$149$	7.35608	−	18.7430i	0.602633	−	1.53548i	−0.225084	−	0.974339i	$-0.572266\pi$
$149$	7.35608	−	18.7430i	0.602633	−	1.53548i	0.827717	−	0.561145i	$-0.189639\pi$
$150$	9.07955	+	19.5622i	0.741343	+	1.59724i
$151$	2.80883	−	3.02720i	0.228579	−	0.246350i	−0.608340	−	0.793677i	$-0.708164\pi$
$151$	2.80883	−	3.02720i	0.228579	−	0.246350i	0.836919	+	0.547327i	$0.184355\pi$
$152$	13.1682	−	17.6440i	1.06808	−	1.43112i
$153$	−4.34482	+	9.02210i	−0.351258	+	0.729394i
$154$	1.86822	−	5.84128i	0.150546	−	0.470704i
$155$	−0.287705	−	0.597426i	−0.0231090	−	0.0479864i
$156$	9.65335	+	8.15896i	0.772887	+	0.653240i
$157$	−1.70693	−	2.50361i	−0.136228	−	0.199809i	0.752063	−	0.659092i	$-0.229059\pi$
$157$	−1.70693	−	2.50361i	−0.136228	−	0.199809i	−0.888290	+	0.459282i	$0.848107\pi$
$158$	8.40434	+	10.8524i	0.668614	+	0.863371i
$159$	−5.93196	+	5.50405i	−0.470435	+	0.436500i
$160$	−1.07182	+	0.0841513i	−0.0847352	+	0.00665274i
$161$	−15.8681	−	4.82698i	−1.25058	−	0.380419i
$162$	−3.03021	+	18.3281i	−0.238076	+	1.43999i
$163$	−13.9869	+	1.04817i	−1.09554	+	0.0820991i	−0.610214	−	0.792236i	$-0.708917\pi$
$163$	−13.9869	+	1.04817i	−1.09554	+	0.0820991i	−0.485322	+	0.874336i	$0.661298\pi$
$164$	−11.0640	−	12.6276i	−0.863957	−	0.986047i
$165$	0.478509	−	0.828803i	0.0372519	−	0.0645222i
$166$	1.56466	+	0.933334i	0.121441	+	0.0724408i
$167$	−2.12176	−	9.29603i	−0.164187	−	0.719348i	−0.988249	−	0.152850i	$-0.951155\pi$
$167$	−2.12176	−	9.29603i	−0.164187	−	0.719348i	0.824063	−	0.566498i	$-0.191702\pi$
$168$	−5.98243	+	22.1980i	−0.461554	+	1.71261i
$169$	−1.95115	+	8.54853i	−0.150088	+	0.657579i
$170$	−0.288686	+	0.302372i	−0.0221412	+	0.0231909i
$171$	−18.3088	−	46.6501i	−1.40011	−	3.56742i
$172$	−0.876163	+	4.86741i	−0.0668068	+	0.371136i
$173$	3.84210	+	12.4558i	0.292109	+	0.946996i	0.976066	+	0.217473i	$0.0697814\pi$
$173$	3.84210	+	12.4558i	0.292109	+	0.946996i	−0.683957	+	0.729522i	$0.739742\pi$
$174$	6.24661	+	21.3252i	0.473554	+	1.61666i
$175$	12.8152	+	2.87246i	0.968739	+	0.217137i
$176$	−4.17832	−	5.05227i	−0.314953	−	0.380829i
$177$	6.59718	+	11.4266i	0.495874	+	0.858879i
$178$	7.53528	+	0.107382i	0.564793	+	0.00804865i
$179$	4.78610	−	15.5161i	0.357730	−	1.15973i	−0.580658	−	0.814147i	$-0.697205\pi$
$179$	4.78610	−	15.5161i	0.357730	−	1.15973i	0.938388	−	0.345584i	$-0.112319\pi$
$180$	−1.12422	+	2.17374i	−0.0837943	+	0.162021i
$181$	−7.52160	−	5.99827i	−0.559076	−	0.445848i	0.302737	−	0.953074i	$-0.402100\pi$
$181$	−7.52160	−	5.99827i	−0.559076	−	0.445848i	−0.861813	+	0.507226i	$0.830671\pi$
$182$	7.52128	−	1.63497i	0.557514	−	0.121192i
$183$	26.8342	−	21.3996i	1.98364	−	1.58190i
$184$	−13.5014	+	11.4938i	−0.995340	+	0.847334i
$185$	−0.121427	−	0.805617i	−0.00892751	−	0.0592302i
$186$	−6.77087	+	13.5621i	−0.496465	+	0.994418i
$187$	−2.52086	−	0.379958i	−0.184343	−	0.0277853i
$188$	−1.82330	+	17.5879i	−0.132978	+	1.28273i
$189$	19.0881	+	20.4118i	1.38845	+	1.48474i
$190$	−0.126603	−	2.08833i	−0.00918477	−	0.151503i
$191$	−1.59980	+	2.34647i	−0.115757	+	0.169785i	−0.879745	−	0.475447i	$-0.842287\pi$
$191$	−1.59980	+	2.34647i	−0.115757	+	0.169785i	0.763987	+	0.645231i	$0.223239\pi$
$192$	16.5231	+	18.1943i	1.19245	+	1.31306i
$193$	−0.311019	+	4.15026i	−0.0223877	+	0.298743i	0.974759	+	0.223258i	$0.0716693\pi$
$193$	−0.311019	+	4.15026i	−0.0223877	+	0.298743i	−0.997147	+	0.0754843i	$0.975950\pi$
$194$	11.3095	−	1.54016i	0.811975	−	0.110577i
$195$	1.20111			0.0860130
$196$	8.50043	+	11.1240i	0.607173	+	0.794569i
$197$	−11.2440			−0.801104			−0.400552	−	0.916274i	$-0.631182\pi$
$197$	−11.2440			−0.801104			−0.400552	+	0.916274i	$0.631182\pi$
$198$	−14.7871	+	2.01374i	−1.05087	+	0.143110i
$199$	−0.726202	+	9.69049i	−0.0514791	+	0.686941i	0.910446	+	0.413628i	$0.135739\pi$
$199$	−0.726202	+	9.69049i	−0.0514791	+	0.686941i	−0.961925	+	0.273313i	$0.911881\pi$
$200$	9.98072	−	9.87451i	0.705743	−	0.698233i
$201$	6.29955	−	9.23975i	0.444336	−	0.651721i
$202$	−0.306218	−	5.05107i	−0.0215454	−	0.355392i
$203$	12.6157	+	4.89460i	0.885446	+	0.343533i
$204$	9.50576	+	0.985444i	0.665536	+	0.0689949i
$205$	−1.57761	−	0.237786i	−0.110185	−	0.0166077i
$206$	0.161035	−	0.322552i	0.0112198	−	0.0224733i
$207$	6.01545	+	39.9099i	0.418102	+	2.77393i
$208$	2.86934	−	7.71187i	0.198953	−	0.534722i
$209$	9.97476	−	7.95461i	0.689969	−	0.550232i
$210$	0.927483	+	1.97805i	0.0640024	+	0.136499i
$211$	−7.31491	−	5.83345i	−0.503579	−	0.401591i	0.338482	−	0.940973i	$-0.390087\pi$
$211$	−7.31491	−	5.83345i	−0.503579	−	0.401591i	−0.842061	+	0.539382i	$0.818658\pi$
$212$	4.67927	+	2.42003i	0.321374	+	0.166209i
$213$	−11.3237	+	36.7106i	−0.775889	+	2.51537i
$214$	−21.9391	−	0.312645i	−1.49972	−	0.0213720i
$215$	0.234988	+	0.407011i	0.0160260	+	0.0277579i
$216$	29.3844	−	5.39718i	1.99935	−	0.367231i
$217$	4.03750	+	8.30099i	0.274083	+	0.563508i
$218$	−0.705697	−	2.40917i	−0.0477959	−	0.163170i
$219$	−13.7233	−	44.4898i	−0.927333	−	3.00634i
$220$	−0.613171	−	0.110375i	−0.0413400	−	0.00744145i
$221$	−1.16892	−	2.97836i	−0.0786302	−	0.200347i
$222$	−12.8611	+	13.4708i	−0.863180	+	0.904100i
$223$	−2.40148	+	10.5216i	−0.160815	+	0.704576i	0.828646	+	0.559773i	$0.189112\pi$
$223$	−2.40148	+	10.5216i	−0.160815	+	0.704576i	−0.989461	+	0.144803i	$0.953745\pi$
$224$	14.9160	−	1.22963i	0.996619	−	0.0821583i
$225$	−7.11142	−	31.1572i	−0.474095	−	2.07715i
$226$	−13.5018	−	8.05393i	−0.898125	−	0.535739i
$227$	−2.78295	+	4.82021i	−0.184711	+	0.319929i	−0.943479	−	0.331432i	$-0.892468\pi$
$227$	−2.78295	+	4.82021i	−0.184711	+	0.319929i	0.758768	+	0.651361i	$0.225802\pi$
$228$	−35.9723	+	31.5182i	−2.38232	+	2.08735i
$229$	−0.322637	+	0.0241783i	−0.0213204	+	0.00159774i	−0.0853860	−	0.996348i	$-0.527212\pi$
$229$	−0.322637	+	0.0241783i	−0.0213204	+	0.00159774i	0.0640656	+	0.997946i	$0.479593\pi$
$230$	−0.274847	+	1.66240i	−0.0181229	+	0.109616i
$231$	−6.61621	+	11.5635i	−0.435315	+	0.760824i
$232$	11.6853	−	8.52794i	0.767175	−	0.559887i
$233$	−6.32088	+	5.86492i	−0.414095	+	0.384224i	−0.859526	−	0.511092i	$-0.829241\pi$
$233$	−6.32088	+	5.86492i	−0.414095	+	0.384224i	0.445431	+	0.895316i	$0.353050\pi$
$234$	−11.4680	−	14.8085i	−0.749687	−	0.968060i
$235$	0.946550	+	1.38833i	0.0617461	+	0.0905649i
$236$	5.54473	−	6.56029i	0.360931	−	0.427039i
$237$	−12.9376	−	26.8651i	−0.840385	−	1.74508i
$238$	4.00231	−	4.22491i	0.259431	−	0.273860i
$239$	−2.00091	+	4.15492i	−0.129428	+	0.268760i	−0.955605	−	0.294651i	$-0.904797\pi$
$239$	−2.00091	+	4.15492i	−0.129428	+	0.268760i	0.826177	+	0.563410i	$0.190511\pi$
$240$	2.31529	+	0.306930i	0.149451	+	0.0198123i
$241$	3.80642	−	4.10235i	0.245193	−	0.264255i	−0.598449	−	0.801161i	$-0.704216\pi$
$241$	3.80642	−	4.10235i	0.245193	−	0.264255i	0.843643	+	0.536905i	$0.180407\pi$
$242$	4.94975	+	10.6644i	0.318182	+	0.685532i
$243$	3.16652	−	8.06816i	0.203132	−	0.517573i
$244$	−19.0243	−	11.7189i	−1.21790	−	0.750223i
$245$	1.29931	+	0.285916i	0.0830099	+	0.0182665i
$246$	17.7838	+	31.8418i	1.13385	+	2.03016i
$247$	14.9053	+	5.84991i	0.948403	+	0.372221i
$248$	9.80005	+	1.15732i	0.622304	+	0.0734899i
$249$	−2.90126	−	2.69197i	−0.183860	−	0.170597i
$250$	0.238168	−	2.66749i	0.0150631	−	0.168707i
$251$	14.9558	+	7.20231i	0.943999	+	0.454606i	0.841578	−	0.540135i	$-0.181627\pi$
$251$	14.9558	+	7.20231i	0.943999	+	0.454606i	0.102421	+	0.994741i	$0.467341\pi$
$252$	15.5320	−	30.3211i	0.978422	−	1.91005i
$253$	−9.25755	+	4.45820i	−0.582017	+	0.280285i
$254$	−9.27564	−	24.6616i	−0.582006	−	1.54741i
$255$	0.750355	−	0.511583i	0.0469891	−	0.0320366i
$256$	7.50171	−	14.1324i	0.468857	−	0.883274i
$257$	7.95189	+	8.57010i	0.496025	+	0.534588i	0.930595	−	0.366050i	$-0.119290\pi$
$257$	7.95189	+	8.57010i	0.496025	+	0.534588i	−0.434570	+	0.900638i	$0.643100\pi$
$258$	4.06720	−	9.94404i	0.253213	−	0.619089i
$259$	1.73409	+	11.2082i	0.107751	+	0.696444i
$260$	−0.264813	−	0.735721i	−0.0164230	−	0.0456275i
$261$	−2.46076	−	32.8366i	−0.152317	−	2.03253i
$262$	−22.9214	+	4.88912i	−1.41609	+	0.302051i
$263$	−9.67797	−	5.58758i	−0.596769	−	0.344545i	0.171000	−	0.985271i	$-0.445300\pi$
$263$	−9.67797	−	5.58758i	−0.596769	−	0.344545i	−0.767770	+	0.640726i	$0.778633\pi$
$264$	6.58756	+	12.6273i	0.405436	+	0.777157i
$265$	0.488061	−	0.111397i	0.0299814	−	0.00684305i
$266$	1.87578	+	29.0642i	0.115011	+	1.78204i
$267$	−15.9605	−	3.64287i	−0.976765	−	0.222940i
$268$	−7.04857	−	1.82158i	−0.430560	−	0.111270i
$269$	−13.1349	+	5.15506i	−0.800847	+	0.314309i	−0.730236	−	0.683194i	$-0.760590\pi$
$269$	−13.1349	+	5.15506i	−0.800847	+	0.314309i	−0.0706109	+	0.997504i	$0.522495\pi$
$270$	1.80157	−	2.19422i	0.109640	−	0.133536i
$271$	−16.5849	+	5.11577i	−1.00746	+	0.310761i	−0.754206	−	0.656638i	$-0.771978\pi$
$271$	−16.5849	+	5.11577i	−1.00746	+	0.310761i	−0.253256	+	0.967399i	$0.581502\pi$
$272$	−1.49216	−	6.03989i	−0.0904753	−	0.366222i
$273$	−16.7203	+	0.0652034i	−1.01196	+	0.00394629i
$274$	−0.304105	−	0.337261i	−0.0183716	−	0.0203747i
$275$	7.04603	−	4.06803i	0.424891	−	0.245311i
$276$	33.8932	−	18.3008i	2.04013	−	1.10158i
$277$	−16.1631	−	4.98566i	−0.971147	−	0.299559i	−0.231710	−	0.972785i	$-0.574432\pi$
$277$	−16.1631	−	4.98566i	−0.971147	−	0.299559i	−0.739437	+	0.673226i	$0.764908\pi$
$278$	−3.86939	−	5.85284i	−0.232071	−	0.351030i
$279$	14.0051	−	17.5618i	0.838461	−	1.05140i
$280$	1.00714	−	1.00423i	0.0601883	−	0.0600140i
$281$	−6.48388	−	8.13053i	−0.386796	−	0.485027i	0.549870	−	0.835250i	$-0.314677\pi$
$281$	−6.48388	−	8.13053i	−0.386796	−	0.485027i	−0.936666	+	0.350223i	$0.886106\pi$
$282$	11.8440	−	36.5402i	0.705297	−	2.17594i
$283$	1.20902	−	0.182231i	0.0718691	−	0.0108325i	−0.113009	−	0.993594i	$-0.536049\pi$
$283$	1.20902	−	0.182231i	0.0718691	−	0.0108325i	0.184878	+	0.982761i	$0.440811\pi$
$284$	24.9832	−	1.15756i	1.48248	−	0.0686887i
$285$	−0.677383	+	4.49414i	−0.0401247	+	0.266210i
$286$	2.74193	−	3.90106i	0.162134	−	0.230674i
$287$	21.9744	+	3.22451i	1.29711	+	0.190337i
$288$	−18.3219	−	31.4757i	−1.07963	−	1.85473i
$289$	12.0472	+	8.21367i	0.708661	+	0.483157i
$290$	0.324966	−	1.33574i	0.0190826	−	0.0784372i
$291$	−24.7256	−	1.85293i	−1.44944	−	0.108621i
$292$	−24.2260	+	18.2149i	−1.41772	+	1.06594i
$293$			24.1185i			1.40902i	0.709694	+	0.704510i	$0.248833\pi$
$293$			24.1185i			1.40902i	−0.709694	+	0.704510i	$0.751167\pi$
$294$	−13.0186	−	27.4856i	−0.759262	−	1.60299i
$295$		−	0.816257i		−	0.0475243i
$296$	11.0869	+	4.90792i	0.644412	+	0.285267i
$297$	17.2644	+	1.29379i	1.00178	+	0.0750734i
$298$	27.6679	+	6.73120i	1.60276	+	0.389928i
$299$	−10.6550	−	7.26445i	−0.616194	−	0.420114i
$300$	−25.6794	+	16.4560i	−1.48260	+	0.950090i
$301$	−3.29330	−	5.65314i	−0.189823	−	0.325841i
$302$	4.77796	+	3.35827i	0.274941	+	0.193247i
$303$	−1.63840	+	10.8701i	−0.0941235	+	0.624469i
$304$	27.2370	+	15.0853i	1.56215	+	0.865204i
$305$	−2.09960	+	0.316463i	−0.120223	+	0.0181206i
$306$	−13.4716	−	4.36661i	−0.770121	−	0.249623i
$307$	6.13802	+	7.69683i	0.350315	+	0.439281i	0.925503	−	0.378740i	$-0.123643\pi$
$307$	6.13802	+	7.69683i	0.350315	+	0.439281i	−0.575188	+	0.818021i	$0.695071\pi$
$308$	8.54178	+	1.50321i	0.486713	+	0.0856533i
$309$	−0.488297	+	0.612305i	−0.0277783	+	0.0348328i
$310$	0.782258	−	0.517162i	0.0444292	−	0.0293728i
$311$	18.6841	+	5.76330i	1.05948	+	0.326807i	0.775056	−	0.631892i	$-0.217721\pi$
$311$	18.6841	+	5.76330i	1.05948	+	0.326807i	0.284424	+	0.958698i	$0.408198\pi$
$312$	−9.59084	+	15.0840i	−0.542974	+	0.853964i
$313$	−14.3329	+	8.27510i	−0.810143	+	0.467736i	−0.847006	−	0.531584i	$-0.821597\pi$
$313$	−14.3329	+	8.27510i	−0.810143	+	0.467736i	0.0368623	+	0.999320i	$0.488264\pi$
$314$	3.18252	−	2.86965i	0.179600	−	0.161944i
$315$	−0.732693	−	3.15340i	−0.0412826	−	0.177674i
$316$	−13.6035	+	13.8478i	−0.765254	+	0.778999i
$317$	16.3268	−	5.03616i	0.917006	−	0.282859i	0.199894	−	0.979817i	$-0.435940\pi$
$317$	16.3268	−	5.03616i	0.917006	−	0.282859i	0.717111	+	0.696959i	$0.245464\pi$
$318$	−8.84471	−	7.26199i	−0.495987	−	0.407232i
$319$	7.80356	−	3.06267i	0.436916	−	0.171477i
$320$	−0.322456	−	1.48587i	−0.0180258	−	0.0830625i
$321$	46.4691	+	10.6063i	2.59365	+	0.591985i
$322$	3.73584	−	23.1568i	0.208190	−	1.29048i
$323$	11.8033	−	2.69402i	0.656752	−	0.149899i
$324$	−26.2610	−	0.748623i	−1.45895	−	0.0415902i
$325$	8.84312	+	5.10558i	0.490528	+	0.283206i
$326$	−4.13789	−	19.3995i	−0.229177	−	1.07444i
$327$	0.407539	+	5.43822i	0.0225369	+	0.300734i
$328$	15.5834	−	17.9135i	0.860449	−	0.989109i
$329$	−13.2521	−	19.2753i	−0.730609	−	1.06268i
$330$	1.25270	+	0.512365i	0.0689588	+	0.0282048i
$331$	16.5034	+	17.7864i	0.907107	+	0.977629i	0.999837	−	0.0180627i	$-0.00574985\pi$
$331$	16.5034	+	17.7864i	0.907107	+	0.977629i	−0.0927301	+	0.995691i	$0.529559\pi$
$332$	−1.00928	+	2.37064i	−0.0553913	+	0.130106i
$333$	22.8031	−	15.5469i	1.24960	−	0.851964i
$334$	12.6214	−	4.74714i	0.690615	−	0.259752i
$335$	−0.623308	+	0.300169i	−0.0340550	+	0.0164000i
$336$	−32.2472	−	4.14701i	−1.75923	−	0.226238i
$337$	25.8595	+	12.4533i	1.40866	+	0.678373i	0.974897	−	0.222655i	$-0.0714724\pi$
$337$	25.8595	+	12.4533i	1.40866	+	0.678373i	0.433760	+	0.901029i	$0.357187\pi$
$338$	−12.3512	−	1.10279i	−0.671818	−	0.0599836i
$339$	25.0355	+	23.2296i	1.35974	+	1.26166i
$340$	−0.478798	−	0.346829i	−0.0259664	−	0.0188094i
$341$	5.32322	+	2.08921i	0.288268	+	0.113137i
$342$	61.8759	−	34.5580i	3.34587	−	1.86868i
$343$	−18.1029	−	3.90963i	−0.977464	−	0.211100i
$344$	−6.98780	−	0.298903i	−0.376757	−	0.0161158i
$345$	1.33727	−	3.40732i	0.0719964	−	0.183444i
$346$	−16.7208	+	7.76079i	−0.898918	+	0.417223i
$347$	−0.645269	+	0.695434i	−0.0346398	+	0.0373329i	−0.750134	−	0.661286i	$-0.770011\pi$
$347$	−0.645269	+	0.695434i	−0.0346398	+	0.0373329i	0.715494	+	0.698619i	$0.246202\pi$
$348$	−28.6906	+	12.8227i	−1.53798	+	0.687371i
$349$	5.72475	−	11.8876i	0.306439	−	0.636327i	−0.689702	−	0.724093i	$-0.742259\pi$
$349$	5.72475	−	11.8876i	0.306439	−	0.636327i	0.996141	+	0.0877664i	$0.0279729\pi$
$350$	−1.57959	+	18.5058i	−0.0844326	+	0.989179i
$351$	9.42764	+	19.5767i	0.503210	+	1.04493i
$352$	6.28230	−	6.81912i	0.334848	−	0.363460i
$353$	−4.21491	−	6.18214i	−0.224337	−	0.329042i	0.697525	−	0.716561i	$-0.254285\pi$
$353$	−4.21491	−	6.18214i	−0.224337	−	0.329042i	−0.921862	+	0.387519i	$0.873332\pi$
$354$	−14.7530	+	11.4250i	−0.784112	+	0.607234i
$355$	1.74221	−	1.61654i	0.0924671	−	0.0857969i
$356$	1.28748	+	10.5795i	0.0682365	+	0.560714i
$357$	−10.4177	+	7.16236i	−0.551365	+	0.379072i
$358$	22.6558	+	3.74572i	1.19740	+	0.197967i
$359$	−10.5393	+	0.789812i	−0.556244	+	0.0416847i	−0.349887	−	0.936792i	$-0.613780\pi$
$359$	−10.5393	+	0.789812i	−0.556244	+	0.0416847i	−0.206357	+	0.978477i	$0.566161\pi$
$360$	−3.26055	−	1.16053i	−0.171846	−	0.0611653i
$361$	−20.7945	+	36.0171i	−1.09445	+	1.89564i
$362$	6.96991	−	11.6845i	0.366330	−	0.614124i
$363$	−5.68329	−	24.9001i	−0.298295	−	1.30692i
$364$	3.72634	+	10.2274i	0.195313	+	0.536062i
$365$	−0.640923	+	2.80807i	−0.0335474	+	0.146981i
$366$	35.1075	+	33.5185i	1.83510	+	1.75204i
$367$	−10.6482	−	27.1311i	−0.555830	−	1.41623i	−0.882148	−	0.470972i	$-0.843903\pi$
$367$	−10.6482	−	27.1311i	−0.555830	−	1.41623i	0.326318	−	0.945260i	$-0.394192\pi$
$368$	−18.6825	−	16.7259i	−0.973893	−	0.871900i
$369$	−15.9301	−	51.6442i	−0.829289	−	2.68849i
$370$	1.10572	−	0.323889i	0.0574838	−	0.0168382i
$371$	−6.78813	+	1.57722i	−0.352422	+	0.0818852i
$372$	−20.2963	−	6.89984i	−1.05231	−	0.357740i
$373$	5.34594	+	9.25944i	0.276802	+	0.479436i	0.970588	−	0.240746i	$-0.0773920\pi$
$373$	5.34594	+	9.25944i	0.276802	+	0.479436i	−0.693786	+	0.720181i	$0.744059\pi$
$374$	0.0513725	−	3.60493i	0.00265641	−	0.186407i
$375$	−1.71482	+	5.55930i	−0.0885528	+	0.287081i
$376$	−24.9935	+	0.801338i	−1.28894	+	0.0413259i
$377$	8.22577	+	6.55983i	0.423649	+	0.337848i
$378$	−24.9601	+	30.6429i	−1.28381	+	1.57610i
$379$	−25.5394	+	20.3670i	−1.31187	+	1.04618i	−0.316647	+	0.948543i	$0.602557\pi$
$379$	−25.5394	+	20.3670i	−1.31187	+	1.04618i	−0.995222	+	0.0976372i	$0.968872\pi$
$380$	2.90217	−	0.575922i	0.148878	−	0.0295442i
$381$	8.53083	+	56.5984i	0.437048	+	2.89962i
$382$	−3.59335	−	1.79398i	−0.183852	−	0.0917882i
$383$	−1.67258	−	0.252101i	−0.0854648	−	0.0128817i	0.106171	−	0.994348i	$-0.466141\pi$
$383$	−1.67258	−	0.252101i	−0.0854648	−	0.0128817i	−0.191635	+	0.981466i	$0.561379\pi$
$384$	−22.3421	+	26.6255i	−1.14014	+	1.35873i
$385$	0.712153	−	0.414873i	0.0362947	−	0.0211439i
$386$	−5.87503	+	0.356170i	−0.299031	+	0.0181286i
$387$	−8.96834	+	13.1541i	−0.455886	+	0.668662i
$388$	4.31638	+	15.5539i	0.219131	+	0.789628i
$389$	2.18230	−	29.1208i	0.110647	−	1.47648i	−0.615060	−	0.788480i	$-0.710868\pi$
$389$	2.18230	−	29.1208i	0.110647	−	1.47648i	0.725707	−	0.688004i	$-0.241513\pi$
$390$	0.229207	+	1.68309i	0.0116064	+	0.0852264i
$391$	−9.75051			−0.493104
$392$	−13.9657	+	14.0343i	−0.705372	+	0.708837i
$393$	50.9134			2.56824
$394$	−2.14570	−	15.7560i	−0.108099	−	0.793777i
$395$	−0.137852	+	1.83951i	−0.00693609	+	0.0925557i
$396$	−5.64363	−	20.3365i	−0.283603	−	1.02195i
$397$	2.29544	−	3.36680i	0.115205	−	0.168975i	−0.764305	−	0.644855i	$-0.776918\pi$
$397$	2.29544	−	3.36680i	0.115205	−	0.168975i	0.879510	+	0.475880i	$0.157870\pi$
$398$	−13.7177	+	0.831624i	−0.687605	+	0.0416855i
$399$	9.18570	−	62.5986i	0.459860	−	3.13385i
$400$	15.7416	+	12.1014i	0.787078	+	0.605071i
$401$	−28.1729	−	4.24639i	−1.40689	−	0.212055i	−0.598699	−	0.800974i	$-0.704315\pi$
$401$	−28.1729	−	4.24639i	−1.40689	−	0.212055i	−0.808191	+	0.588920i	$0.799553\pi$
$402$	14.1496	+	7.06421i	0.705718	+	0.352331i
$403$	1.06968	+	7.09687i	0.0532846	+	0.353520i
$404$	7.01953	−	1.39299i	0.349235	−	0.0693040i
$405$	−1.95189	+	1.55658i	−0.0969900	+	0.0773469i
$406$	−4.45125	+	18.6121i	−0.220912	+	0.923703i
$407$	5.49325	+	4.38072i	0.272290	+	0.217144i
$408$	0.433101	+	13.5083i	0.0214417	+	0.668759i
$409$	11.6316	−	37.7086i	0.575144	−	1.86457i	0.0778954	−	0.996962i	$-0.475180\pi$
$409$	11.6316	−	37.7086i	0.575144	−	1.86457i	0.497248	−	0.867608i	$-0.334344\pi$
$410$	0.0321500	−	2.25604i	0.00158777	−	0.111418i
$411$	0.493253	+	0.854339i	0.0243304	+	0.0421414i
$412$	0.482716	+	0.164102i	0.0237817	+	0.00808473i
$413$	0.0443114	+	11.3629i	0.00218042	+	0.559132i
$414$	−54.7770	+	16.0453i	−2.69214	+	0.788585i
$415$	0.0721692	+	0.233967i	0.00354264	+	0.0114850i
$416$	11.3540	+	2.54909i	0.556678	+	0.124980i
$417$	5.56844	+	14.1882i	0.272688	+	0.694797i
$418$	13.0501	+	12.4595i	0.638302	+	0.609412i
$419$	1.39588	−	6.11575i	0.0681932	−	0.298774i	−0.929318	−	0.369280i	$-0.879604\pi$
$419$	1.39588	−	6.11575i	0.0681932	−	0.298774i	0.997511	+	0.0705061i	$0.0224614\pi$
$420$	−2.59481	+	1.67713i	−0.126614	+	0.0818358i
$421$	3.05898	+	13.4023i	0.149086	+	0.653187i	0.993140	+	0.116930i	$0.0373052\pi$
$421$	3.05898	+	13.4023i	0.149086	+	0.653187i	−0.844055	+	0.536257i	$0.819838\pi$
$422$	6.77839	−	11.3634i	0.329967	−	0.553163i
$423$	−28.4603	+	49.2947i	−1.38379	+	2.39679i
$424$	−2.49820	+	7.01879i	−0.121323	+	0.340862i
$425$	7.69907	−	0.576966i	0.373460	−	0.0279870i
$426$	−53.6028	−	8.86222i	−2.59706	−	0.429376i
$427$	29.2108	−	4.51938i	1.41361	−	0.218708i
$428$	−3.74853	−	30.8024i	−0.181192	−	1.48889i
$429$	−7.59321	+	7.04547i	−0.366604	+	0.340159i
$430$	−0.525493	+	0.406954i	−0.0253415	+	0.0196250i
$431$	−7.37682	−	10.8198i	−0.355329	−	0.521172i	0.606405	−	0.795156i	$-0.292611\pi$
$431$	−7.37682	−	10.8198i	−0.355329	−	0.521172i	−0.961734	+	0.273984i	$0.911659\pi$
$432$	13.1704	+	40.1457i	0.633660	+	1.93151i
$433$	−4.85627	−	10.0842i	−0.233378	−	0.484614i	0.751085	−	0.660205i	$-0.229531\pi$
$433$	−4.85627	−	10.0842i	−0.233378	−	0.484614i	−0.984463	+	0.175591i	$0.943816\pi$
$434$	−10.8615	+	7.24174i	−0.521370	+	0.347615i
$435$	−1.29572	+	2.69059i	−0.0621250	+	0.129004i
$436$	3.24126	−	1.44862i	0.155228	−	0.0693764i
$437$	33.1902	−	35.7705i	1.58770	−	1.71114i
$438$	59.7238	−	27.7201i	2.85371	−	1.32452i
$439$	2.91117	−	7.41755i	0.138943	−	0.354020i	−0.844418	−	0.535685i	$-0.820053\pi$
$439$	2.91117	−	7.41755i	0.138943	−	0.354020i	0.983360	+	0.181665i	$0.0581486\pi$
$440$	0.0376542	−	0.880286i	0.00179510	−	0.0419660i
$441$	10.3708	+	43.8579i	0.493848	+	2.08847i
$442$	3.95046	−	2.20635i	0.187904	−	0.104945i
$443$	1.63477	+	0.641600i	0.0776702	+	0.0304833i	0.403858	−	0.914822i	$-0.367669\pi$
$443$	1.63477	+	0.641600i	0.0776702	+	0.0304833i	−0.326188	+	0.945305i	$0.605764\pi$
$444$	−21.3306	−	15.4514i	−1.01231	−	0.733289i
$445$	0.742415	+	0.688860i	0.0351938	+	0.0326551i
$446$	−15.2019	−	1.35731i	−0.719832	−	0.0642706i
$447$	−55.7317	−	26.8390i	−2.63602	−	1.26944i
$448$	4.56949	+	20.6669i	0.215888	+	0.976418i
$449$	−24.9497	+	12.0151i	−1.17745	+	0.567029i	−0.917167	−	0.398504i	$-0.869529\pi$
$449$	−24.9497	+	12.0151i	−1.17745	+	0.567029i	−0.260281	+	0.965533i	$0.583815\pi$
$450$	42.3029	−	15.9108i	1.99418	−	0.750043i
$451$	11.3682	−	7.75070i	0.535307	−	0.364966i
$452$	8.70926	−	20.4567i	0.409649	−	0.962202i
$453$	−8.62919	−	9.30005i	−0.405435	−	0.436955i
$454$	−7.28553	−	2.97985i	−0.341927	−	0.139851i
$455$	0.897822	+	0.513700i	0.0420905	+	0.0240826i
$456$	−51.0305	−	44.3926i	−2.38972	−	2.07887i
$457$	−1.55636	−	20.7682i	−0.0728036	−	0.971496i	−0.907300	−	0.420483i	$-0.861861\pi$
$457$	−1.55636	−	20.7682i	−0.0728036	−	0.971496i	0.834497	−	0.551013i	$-0.185759\pi$
$458$	−0.0954492	−	0.447490i	−0.00446005	−	0.0209098i
$459$	14.2279	+	8.21447i	0.664100	+	0.383419i
$460$	−2.38194	−	0.0679020i	−0.111059	−	0.00316595i
$461$	20.3623	−	4.64756i	0.948366	−	0.216458i	0.279756	−	0.960071i	$-0.409747\pi$
$461$	20.3623	−	4.64756i	0.948366	−	0.216458i	0.668610	+	0.743613i	$0.266889\pi$
$462$	−17.4663	−	7.06450i	−0.812606	−	0.328670i
$463$	15.1029	+	3.44713i	0.701890	+	0.160202i	0.558549	−	0.829472i	$-0.311358\pi$
$463$	15.1029	+	3.44713i	0.701890	+	0.160202i	0.143341	+	0.989673i	$0.454215\pi$
$464$	14.1799	+	14.7469i	0.658286	+	0.684609i
$465$	−1.89631	+	0.744247i	−0.0879393	+	0.0345136i
$466$	−9.42461	−	7.73812i	−0.436587	−	0.358462i
$467$	22.2760	−	6.87124i	1.03081	−	0.317963i	0.267201	−	0.963641i	$-0.413901\pi$
$467$	22.2760	−	6.87124i	1.03081	−	0.317963i	0.763610	+	0.645678i	$0.223425\pi$
$468$	18.5624	−	18.8958i	0.858045	−	0.873457i
$469$	8.66062	−	4.21242i	0.399910	−	0.194511i
$470$	−1.76481	+	1.59132i	−0.0814048	+	0.0734020i
$471$	−8.06187	+	4.65452i	−0.371471	+	0.214469i
$472$	10.2509	+	6.51781i	0.471836	+	0.300007i
$473$	−3.87301	−	1.19467i	−0.178081	−	0.0549308i
$474$	35.1767	−	23.2558i	1.61572	−	1.06817i
$475$	−24.0906	+	30.2086i	−1.10535	+	1.38607i
$476$	6.68405	+	4.80212i	0.306363	+	0.220105i
$477$	10.5733	+	13.2586i	0.484120	+	0.607068i
$478$	−6.20404	−	2.01094i	−0.283766	−	0.0919785i
$479$	−3.07088	+	0.462860i	−0.140312	+	0.0211486i	−0.218823	−	0.975765i	$-0.570222\pi$
$479$	−3.07088	+	0.462860i	−0.140312	+	0.0211486i	0.0785107	+	0.996913i	$0.474984\pi$
$480$	0.0117307	+	3.30294i	0.000535433	+	0.150758i
$481$	−1.31428	+	8.71966i	−0.0599259	+	0.397582i
$482$	6.47491	+	4.55101i	0.294924	+	0.207293i
$483$	−18.4309	+	47.5050i	−0.838634	+	2.16155i
$484$	−13.9992	+	8.97106i	−0.636328	+	0.407776i
$485$	1.26738	+	0.864086i	0.0575489	+	0.0392361i
$486$	11.9100	+	2.89753i	0.540249	+	0.131435i
$487$	−0.502378	−	0.0376480i	−0.0227649	−	0.00170600i	0.0633428	−	0.997992i	$-0.479824\pi$
$487$	−0.502378	−	0.0376480i	−0.0227649	−	0.00170600i	−0.0861077	+	0.996286i	$0.527443\pi$
$488$	12.7910	−	28.8946i	0.579021	−	1.30800i
$489$			43.0905i			1.94862i
$490$	−0.152701	+	1.87526i	−0.00689834	+	0.0847156i
$491$			28.4874i			1.28562i	0.766026	+	0.642809i	$0.222231\pi$
$491$			28.4874i			1.28562i	−0.766026	+	0.642809i	$0.777769\pi$
$492$	−41.2256	+	30.9965i	−1.85859	+	1.39743i
$493$	7.93281	+	0.594482i	0.357276	+	0.0267741i
$494$	−5.35297	+	22.0029i	−0.240842	+	0.989955i
$495$	−1.65709	−	1.12978i	−0.0744806	−	0.0507800i
$496$	0.248415	+	13.9535i	0.0111542	+	0.626529i
$497$	−24.1652	+	22.5980i	−1.08396	+	1.01366i
$498$	3.21856	−	4.57918i	0.144227	−	0.205198i
$499$	1.48134	−	9.82803i	0.0663138	−	0.439963i	−0.930894	−	0.365289i	$-0.880970\pi$
$499$	1.48134	−	9.82803i	0.0663138	−	0.439963i	0.997208	−	0.0746742i	$-0.0237917\pi$
$500$	3.78335	−	0.175296i	0.169196	−	0.00783948i
$501$	−28.9662	+	4.36595i	−1.29411	+	0.195056i
$502$	−7.23845	+	22.3316i	−0.323068	+	0.996709i
$503$	−10.6445	−	13.3477i	−0.474613	−	0.595146i	0.485681	−	0.874136i	$-0.338572\pi$
$503$	−10.6445	−	13.3477i	−0.474613	−	0.595146i	−0.960294	+	0.278990i	$0.910000\pi$
$504$	45.4523	+	15.9784i	2.02461	+	0.711736i
$505$	0.424012	−	0.531694i	0.0188683	−	0.0236601i
$506$	−8.01381	−	12.1217i	−0.356257	−	0.538874i
$507$	25.7411	+	7.94008i	1.14320	+	0.352631i
$508$	32.7877	−	17.7039i	1.45472	−	0.785485i
$509$	22.4554	−	12.9646i	0.995319	−	0.574648i	0.0884588	−	0.996080i	$-0.471806\pi$
$509$	22.4554	−	12.9646i	0.995319	−	0.574648i	0.906860	+	0.421432i	$0.138472\pi$
$510$	0.860062	+	0.953832i	0.0380842	+	0.0422364i
$511$	8.76968	−	39.1252i	0.387948	−	1.73080i
$512$	21.2350	+	7.81511i	0.938462	+	0.345382i
$513$	−78.5664	+	24.2345i	−3.46879	+	1.06998i
$514$	−10.4916	+	12.7782i	−0.462767	+	0.563624i
$515$	0.0451008	−	0.0177008i	0.00198738	−	0.000779989i
$516$	14.7105	+	3.80167i	0.647594	+	0.167359i
$517$	−14.1277	−	3.22455i	−0.621334	−	0.141815i
$518$	−15.3749	+	4.56881i	−0.675535	+	0.200742i
$519$	39.0413	−	8.91092i	1.71372	−	0.391146i
$520$	0.980417	−	0.511475i	0.0429941	−	0.0224297i
$521$	−22.7879	−	13.1566i	−0.998358	−	0.576402i	−0.0905960	−	0.995888i	$-0.528877\pi$
$521$	−22.7879	−	13.1566i	−0.998358	−	0.576402i	−0.907762	+	0.419485i	$0.862211\pi$
$522$	45.5437	−	9.71442i	1.99339	−	0.425189i
$523$	−2.05403	−	27.4091i	−0.0898164	−	1.19852i	−0.841968	−	0.539527i	$-0.818603\pi$
$523$	−2.05403	−	27.4091i	−0.0898164	−	1.19852i	0.752152	−	0.658990i	$-0.229016\pi$
$524$	−11.2251	−	31.1863i	−0.490371	−	1.36238i
$525$	11.7421	−	38.6009i	0.512469	−	1.68468i
$526$	5.98291	−	14.6278i	0.260867	−	0.637803i
$527$	3.69099	+	3.97795i	0.160782	+	0.173282i
$528$	−16.4373	+	11.6407i	−0.715341	+	0.506596i
$529$	−13.4673	+	9.18187i	−0.585536	+	0.399212i
$530$	0.249235	+	0.662652i	0.0108261	+	0.0287838i
$531$	24.9125	−	11.9972i	1.08111	−	0.520636i
$532$	−40.3691	+	8.17481i	−1.75022	+	0.354423i
$533$	15.5581	+	7.49239i	0.673896	+	0.324531i
$534$	2.05895	−	23.0602i	0.0890994	−	0.997914i
$535$	−2.16155	−	2.00563i	−0.0934520	−	0.0867108i
$536$	1.20746	−	10.2246i	0.0521543	−	0.441637i
$537$	−46.4361	−	18.2248i	−2.00386	−	0.786459i
$538$	−9.73020	−	17.4219i	−0.419499	−	0.751111i
$539$	−9.89118	+	5.81400i	−0.426043	+	0.250427i
$540$	3.41851	+	2.10578i	0.147109	+	0.0906185i
$541$	−7.11549	+	18.1300i	−0.305919	+	0.779469i	0.692400	+	0.721514i	$0.256553\pi$
$541$	−7.11549	+	18.1300i	−0.305919	+	0.779469i	−0.998319	+	0.0579551i	$0.981542\pi$
$542$	−10.3335	−	22.2639i	−0.443863	−	0.956315i
$543$	−20.1030	+	21.6659i	−0.862702	+	0.929772i
$544$	8.17882	−	3.24352i	0.350664	−	0.139065i
$545$	0.146381	−	0.303964i	0.00627028	−	0.0130204i
$546$	−3.28210	−	23.4174i	−0.140461	−	1.00217i
$547$	−2.63106	−	5.46344i	−0.112496	−	0.233600i	0.837118	−	0.547022i	$-0.184239\pi$
$547$	−2.63106	−	5.46344i	−0.112496	−	0.233600i	−0.949614	+	0.313422i	$0.898524\pi$
$548$	0.414564	−	0.490495i	0.0177093	−	0.0209529i
$549$	−40.5182	−	59.4293i	−1.72928	−	2.53638i
$550$	7.04503	+	9.09715i	0.300401	+	0.387904i
$551$	−29.1837	+	27.0786i	−1.24327	+	1.15359i
$552$	32.1124	+	44.0015i	1.36680	+	1.87283i
$553$	1.81914	−	25.6148i	0.0773578	−	1.08925i
$554$	3.90189	−	23.6004i	0.165776	−	1.00269i
$555$	−2.49595	+	0.187045i	−0.105947	+	0.00793963i
$556$	7.46306	−	6.53900i	0.316504	−	0.277315i
$557$	7.92594	−	13.7281i	0.335833	−	0.581680i	−0.647812	−	0.761801i	$-0.724316\pi$
$557$	7.92594	−	13.7281i	0.335833	−	0.581680i	0.983644	+	0.180121i	$0.0576489\pi$
$558$	27.2815	+	16.2737i	1.15492	+	0.688920i
$559$	−1.13192	−	4.95928i	−0.0478752	−	0.209755i
$560$	1.59940	+	1.21965i	0.0675868	+	0.0515397i
$561$	−1.74278	+	7.63560i	−0.0735800	+	0.322375i
$562$	10.1558	−	10.6373i	0.428398	−	0.448706i
$563$	0.941227	+	2.39821i	0.0396680	+	0.101072i	0.949335	−	0.314266i	$-0.101758\pi$
$563$	0.941227	+	2.39821i	0.0396680	+	0.101072i	−0.909667	+	0.415338i	$0.863663\pi$
$564$	53.4632	+	9.62372i	2.25121	+	0.405232i
$565$	−0.622762	−	2.01895i	−0.0261998	−	0.0849377i
$566$	0.486075	+	1.65941i	0.0204313	+	0.0697501i
$567$	27.0872	−	21.7747i	1.13756	−	0.914450i
$568$	6.38961	+	34.7875i	0.268102	+	1.45965i
$569$	15.5745	+	26.9758i	0.652916	+	1.13088i	0.982412	+	0.186726i	$0.0597878\pi$
$569$	15.5745	+	26.9758i	0.652916	+	1.13088i	−0.329496	+	0.944157i	$0.606879\pi$
$570$	−6.42681	−	0.0915860i	−0.269190	−	0.00383612i
$571$	−6.01268	+	19.4926i	−0.251623	+	0.815741i	0.738342	+	0.674426i	$0.235609\pi$
$571$	−6.01268	+	19.4926i	−0.251623	+	0.815741i	−0.989965	+	0.141314i	$0.954867\pi$
$572$	5.98972	+	3.09777i	0.250443	+	0.129524i
$573$	6.82130	+	5.43980i	0.284964	+	0.227251i
$574$	−0.325080	+	31.4075i	−0.0135686	+	1.31093i
$575$	24.3292	−	19.4019i	1.01460	−	0.809115i
$576$	40.6100	−	31.6806i	1.69208	−	1.32003i
$577$	0.0761497	+	0.505220i	0.00317015	+	0.0210326i	0.990360	−	0.138518i	$-0.0442337\pi$
$577$	0.0761497	+	0.505220i	0.00317015	+	0.0210326i	−0.987190	+	0.159550i	$0.948996\pi$
$578$	−9.21068	+	18.4490i	−0.383114	+	0.767376i
$579$	12.6432	+	1.90566i	0.525435	+	0.0791966i
$580$	1.93376	+	0.200469i	0.0802948	+	0.00832401i
$581$	−1.01735	−	3.25307i	−0.0422068	−	0.134960i
$582$	−2.12192	−	35.0011i	−0.0879563	−	1.45084i
$583$	−2.43202	+	3.56711i	−0.100724	+	0.147735i
$584$	−30.1471	−	30.4714i	−1.24750	−	1.26092i
$585$	0.188104	−	2.51007i	0.00777713	−	0.103779i
$586$	−33.7968	+	4.60254i	−1.39613	+	0.190129i
$587$	25.4979			1.05241			0.526206	−	0.850357i	$-0.323614\pi$
$587$	25.4979			1.05241			0.526206	+	0.850357i	$0.323614\pi$
$588$	36.0307	−	23.4878i	1.48588	−	0.968622i
$589$	−27.1574			−1.11900
$590$	1.14380	−	0.155766i	0.0470897	−	0.00641279i
$591$	−2.58144	+	34.4469i	−0.106186	+	1.41696i
$592$	−4.76165	+	16.4724i	−0.195703	+	0.677012i
$593$	17.0721	−	25.0402i	0.701067	−	1.02828i	−0.296253	−	0.955110i	$-0.595737\pi$
$593$	17.0721	−	25.0402i	0.701067	−	1.02828i	0.997320	−	0.0731669i	$-0.0233106\pi$
$594$	1.48161	+	24.4392i	0.0607912	+	1.00275i
$595$	0.779685	−	0.0614878i	0.0319640	−	0.00252075i
$596$	−4.15243	+	40.0550i	−0.170090	+	1.64072i
$597$	29.5208	+	4.44955i	1.20821	+	0.182108i
$598$	8.14623	−	16.3169i	0.333124	−	0.667248i
$599$	−6.35471	−	42.1607i	−0.259646	−	1.72264i	−0.615532	−	0.788112i	$-0.711059\pi$
$599$	−6.35471	−	42.1607i	−0.259646	−	1.72264i	0.355886	−	0.934529i	$-0.384179\pi$
$600$	−27.9599	−	32.8437i	−1.14146	−	1.34084i
$601$	24.9168	−	19.8705i	1.01638	−	0.810534i	0.0343764	−	0.999409i	$-0.489055\pi$
$601$	24.9168	−	19.8705i	1.01638	−	0.810534i	0.982001	+	0.188875i	$0.0604841\pi$
$602$	7.29317	−	5.69362i	0.297247	−	0.232055i
$603$	−18.3226	−	14.6118i	−0.746155	−	0.595039i
$604$	−3.79410	+	7.33611i	−0.154380	+	0.298502i
$605$	−0.465725	+	1.50984i	−0.0189344	+	0.0613838i
$606$	−15.5446	−	0.221521i	−0.631458	−	0.00899866i
$607$	−12.3259	−	21.3490i	−0.500292	−	0.866531i	−1.00000		0.000336794i	$-0.999893\pi$
$607$	−12.3259	−	21.3490i	−0.500292	−	0.866531i	0.499708	−	0.866194i	$-0.333441\pi$
$608$	−15.9411	+	41.0454i	−0.646499	+	1.66461i
$609$	17.8913	−	37.5253i	0.724992	−	1.52060i
$610$	−0.844120	−	2.88173i	−0.0341774	−	0.116678i
$611$	−5.36069	−	17.3789i	−0.216870	−	0.703076i
$612$	3.54806	−	19.7108i	0.143422	−	0.796761i
$613$	−3.00844	−	7.66538i	−0.121510	−	0.309602i	0.857157	−	0.515055i	$-0.172228\pi$
$613$	−3.00844	−	7.66538i	−0.121510	−	0.309602i	−0.978667	+	0.205453i	$0.934133\pi$
$614$	−9.61409	+	10.0699i	−0.387993	+	0.406386i
$615$	−1.09067	+	4.77852i	−0.0439799	+	0.192689i
$616$	−0.476388	+	12.2563i	−0.0191942	+	0.493820i
$617$	3.02822	+	13.2675i	0.121912	+	0.534129i	0.998592	+	0.0530554i	$0.0168960\pi$
$617$	3.02822	+	13.2675i	0.121912	+	0.534129i	−0.876680	+	0.481074i	$0.840247\pi$
$618$	−0.951193	−	0.567395i	−0.0382626	−	0.0228240i
$619$	−7.15945	+	12.4005i	−0.287763	+	0.498420i	−0.973275	−	0.229641i	$-0.926245\pi$
$619$	−7.15945	+	12.4005i	−0.287763	+	0.498420i	0.685513	+	0.728061i	$0.259578\pi$
$620$	0.873966	+	0.997471i	0.0350993	+	0.0400594i
$621$	66.0319	−	4.94841i	2.64977	−	0.198573i
$622$	−4.51049	+	27.2815i	−0.180854	+	1.09389i
$623$	−10.3724	−	9.54914i	−0.415560	−	0.382578i
$624$	−22.9671	−	10.5610i	−0.919421	−	0.422777i
$625$	−17.9301	+	16.6367i	−0.717203	+	0.665467i
$626$	−14.3309	−	18.5053i	−0.572777	−	0.739619i
$627$	−22.0795	−	32.3847i	−0.881770	−	1.29332i
$628$	4.62850	+	3.91198i	0.184697	+	0.156105i
$629$	2.89288	+	6.00713i	0.115347	+	0.239520i
$630$	4.27898	−	1.62847i	0.170479	−	0.0648798i
$631$	13.7698	−	28.5933i	0.548167	−	1.13828i	−0.424360	−	0.905493i	$-0.639501\pi$
$631$	13.7698	−	28.5933i	0.548167	−	1.13828i	0.972528	−	0.232787i	$-0.0747847\pi$
$632$	−22.0006	−	16.4197i	−0.875136	−	0.653139i
$633$	−19.5506	+	21.0705i	−0.777066	+	0.837478i
$634$	10.1727	+	21.9174i	0.404010	+	0.870451i
$635$	1.29366	−	3.29618i	0.0513372	−	0.130805i
$636$	8.48824	−	13.7797i	0.336581	−	0.546401i
$637$	−12.5262	−	7.10234i	−0.496307	−	0.281405i
$638$	5.78081	+	10.3505i	0.228865	+	0.409781i
$639$	74.9443	+	29.4135i	2.96475	+	1.16358i
$640$	2.02058	−	0.735398i	0.0798705	−	0.0290692i
$641$	12.8389	+	11.9127i	0.507105	+	0.470525i	0.891743	−	0.452543i	$-0.149483\pi$
$641$	12.8389	+	11.9127i	0.507105	+	0.470525i	−0.384638	+	0.923068i	$0.625674\pi$
$642$	−5.99466	+	67.1402i	−0.236590	+	2.64981i
$643$	22.7647	+	10.9629i	0.897751	+	0.432334i	0.825076	−	0.565021i	$-0.191132\pi$
$643$	22.7647	+	10.9629i	0.897751	+	0.432334i	0.0726750	+	0.997356i	$0.476846\pi$
$644$	33.1621	+	0.815940i	1.30677	+	0.0321525i
$645$	1.30086	−	0.626460i	0.0512212	−	0.0246668i
$646$	6.02750	+	16.0256i	0.237149	+	0.630518i
$647$	19.9282	−	13.5868i	0.783458	−	0.534152i	−0.104255	−	0.994551i	$-0.533246\pi$
$647$	19.9282	−	13.5868i	0.783458	−	0.534152i	0.887713	+	0.460398i	$0.152293\pi$
$648$	−3.96236	−	36.9419i	−0.155656	−	1.45121i
$649$	4.78801	+	5.16025i	0.187946	+	0.202558i
$650$	−5.46681	+	13.3660i	−0.214426	+	0.524257i
$651$	26.3577	−	10.4634i	1.03304	−	0.410094i
$652$	26.3945	−	9.50035i	1.03369	−	0.372062i
$653$	−0.934325	−	12.4677i	−0.0365630	−	0.487899i	−0.985186	−	0.171490i	$-0.945142\pi$
$653$	−0.934325	−	12.4677i	−0.0365630	−	0.487899i	0.948623	−	0.316409i	$-0.102477\pi$
$654$	−7.54270	+	1.60885i	−0.294943	+	0.0629111i
$655$	−2.72773	−	1.57486i	−0.106581	−	0.0615347i
$656$	28.0756	+	18.4183i	1.09617	+	0.719112i
$657$	−95.1237	+	21.7114i	−3.71113	+	0.847041i
$658$	24.4811	−	22.2481i	0.954374	−	0.867322i
$659$	−2.78642	−	0.635983i	−0.108544	−	0.0247744i	0.167904	−	0.985803i	$-0.446300\pi$
$659$	−2.78642	−	0.635983i	−0.108544	−	0.0247744i	−0.276448	+	0.961029i	$0.589157\pi$
$660$	−0.478914	+	1.85315i	−0.0186417	+	0.0721339i
$661$	−42.9200	+	16.8449i	−1.66940	+	0.655189i	−0.996425	−	0.0844803i	$-0.973077\pi$
$661$	−42.9200	+	16.8449i	−1.66940	+	0.655189i	−0.672970	+	0.739670i	$0.734982\pi$
$662$	−21.7744	+	26.5200i	−0.846285	+	1.03073i
$663$	−9.39281	+	2.89730i	−0.364787	+	0.112522i
$664$	−3.51452	−	0.961892i	−0.136390	−	0.0373287i
$665$	−2.42843	+	3.06964i	−0.0941706	+	0.119036i
$666$	26.1370	+	28.9867i	1.01279	+	1.12321i
$667$	27.7673	−	16.0315i	1.07516	−	0.620741i
$668$	9.06061	+	16.7803i	0.350566	+	0.649248i
$669$	31.6823	+	9.77268i	1.22491	+	0.377834i
$670$	−0.539567	−	0.816148i	−0.0208453	−	0.0315305i
$671$	11.4170	−	14.3165i	0.440749	−	0.552682i
$672$	−0.342604	−	45.9787i	−0.0132162	−	1.77367i
$673$	−28.1136	−	35.2534i	−1.08370	−	1.35892i	−0.928627	−	0.371015i	$-0.879010\pi$
$673$	−28.1136	−	35.2534i	−1.08370	−	1.35892i	−0.155074	−	0.987903i	$-0.549561\pi$
$674$	−12.5158	+	38.6128i	−0.482089	+	1.48731i
$675$	−51.8465	+	7.81460i	−1.99557	+	0.300784i
$676$	−0.811671	−	17.5180i	−0.0312181	−	0.673767i
$677$	−7.33575	+	48.6695i	−0.281936	+	1.87052i	0.180082	+	0.983652i	$0.442364\pi$
$677$	−7.33575	+	48.6695i	−0.281936	+	1.87052i	−0.462018	+	0.886870i	$0.652874\pi$
$678$	−27.7736	+	39.5147i	−1.06664	+	1.51755i
$679$	−17.6898	−	11.9599i	−0.678873	−	0.458980i
$680$	0.394635	−	0.737114i	0.0151336	−	0.0282670i
$681$	14.1282	+	9.63242i	0.541392	+	0.369115i
$682$	−1.91174	+	7.85800i	−0.0732042	+	0.300898i
$683$	−29.1479	−	2.18433i	−1.11531	−	0.0835811i	−0.495704	−	0.868492i	$-0.665090\pi$
$683$	−29.1479	−	2.18433i	−1.11531	−	0.0835811i	−0.619609	+	0.784911i	$0.712709\pi$
$684$	60.2331	+	80.1107i	2.30307	+	3.06311i
$685$		−	0.0610293i		−	0.00233181i
$686$	2.02392	−	26.1133i	0.0772735	−	0.997010i
$687$			0.993972i			0.0379224i
$688$	−0.914634	−	9.84889i	−0.0348701	−	0.375486i
$689$	−5.40326	−	0.404919i	−0.205848	−	0.0154262i
$690$	5.02980	+	1.22368i	0.191481	+	0.0465845i
$691$	5.26288	+	3.58817i	0.200209	+	0.136500i	0.659275	−	0.751902i	$-0.270863\pi$
$691$	5.26288	+	3.58817i	0.200209	+	0.136500i	−0.459066	+	0.888402i	$0.651816\pi$
$692$	−14.0659	−	21.9496i	−0.534704	−	0.834398i
$693$	23.1293	+	15.6375i	0.878608	+	0.594019i
$694$	−1.09763	−	0.771492i	−0.0416656	−	0.0292854i
$695$	0.140535	−	0.932386i	0.00533078	−	0.0353674i
$696$	−23.4432	−	37.7565i	−0.888614	−	1.43116i
$697$	12.9107	−	1.94597i	0.489026	−	0.0737089i
$698$	17.7502	+	5.75347i	0.671857	+	0.217772i
$699$	16.5165	+	20.7110i	0.624710	+	0.783362i
$700$	−26.2333	+	1.31802i	−0.991525	+	0.0498166i
$701$	13.1117	−	16.4416i	0.495223	−	0.620990i	−0.469921	−	0.882708i	$-0.655718\pi$
$701$	13.1117	−	16.4416i	0.495223	−	0.620990i	0.965144	+	0.261718i	$0.0842891\pi$
$702$	−25.6334	+	16.9466i	−0.967469	+	0.639608i
$703$	−31.8848	−	9.83517i	−1.20256	−	0.370940i
$704$	10.7543	+	7.50196i	0.405320	+	0.282741i
$705$	4.47058	−	2.58109i	0.168372	−	0.0972095i
$706$	7.85857	−	7.08601i	0.295761	−	0.266685i
$707$	−5.87370	+	7.42459i	−0.220903	+	0.279231i
$708$	−18.8250	−	18.4928i	−0.707486	−	0.695003i
$709$	−12.6679	+	3.90754i	−0.475754	+	0.146751i	−0.523353	−	0.852116i	$-0.675319\pi$
$709$	−12.6679	+	3.90754i	−0.475754	+	0.146751i	0.0475993	+	0.998867i	$0.484843\pi$
$710$	2.59769	+	2.13284i	0.0974895	+	0.0800442i
$711$	−58.1688	+	22.8296i	−2.18150	+	0.856175i
$712$	−14.5792	+	3.82301i	−0.546378	+	0.143274i
$713$	21.3234	+	4.86694i	0.798569	+	0.182268i
$714$	−12.0245	−	13.2314i	−0.450005	−	0.495171i
$715$	0.624744	−	0.142594i	0.0233641	−	0.00533270i
$716$	−0.925391	+	32.4619i	−0.0345835	+	1.21316i
$717$	12.2695	+	7.08383i	0.458215	+	0.264550i
$718$	−3.11796	−	14.6178i	−0.116361	−	0.545532i
$719$	−0.623169	−	8.31561i	−0.0232403	−	0.310120i	−0.996695	−	0.0812388i	$-0.974112\pi$
$719$	−0.623169	−	8.31561i	−0.0232403	−	0.310120i	0.973454	−	0.228881i	$-0.0735067\pi$
$720$	1.00402	−	4.79041i	0.0374175	−	0.178528i
$721$	−0.626876	+	0.248856i	−0.0233461	+	0.00926789i
$722$	−54.4382	−	22.2657i	−2.02598	−	0.828645i
$723$	−11.6940	−	12.6031i	−0.434903	−	0.468714i
$724$	17.7033	+	7.53704i	0.657939	+	0.280112i
$725$	−20.9767	+	14.3016i	−0.779053	+	0.531150i
$726$	33.8075	−	12.7156i	1.25471	−	0.471919i
$727$	2.58984	−	1.24720i	0.0960518	−	0.0462561i	−0.385241	−	0.922816i	$-0.625882\pi$
$727$	2.58984	−	1.24720i	0.0960518	−	0.0462561i	0.481293	+	0.876560i	$0.340167\pi$
$728$	−13.6204	+	7.17334i	−0.504804	+	0.265862i
$729$	11.5145	+	5.54510i	0.426463	+	0.205374i
$730$	−4.05719	−	0.362249i	−0.150163	−	0.0134074i
$731$	−2.81942	−	2.61604i	−0.104280	−	0.0967578i
$732$	−40.2693	+	55.5918i	−1.48839	+	2.05473i
$733$	−12.2385	−	4.80325i	−0.452038	−	0.177412i	0.128389	−	0.991724i	$-0.459019\pi$
$733$	−12.2385	−	4.80325i	−0.452038	−	0.177412i	−0.580428	+	0.814312i	$0.697115\pi$
$734$	35.9863	−	20.0985i	1.32828	−	0.741849i
$735$	1.17423	−	3.91489i	0.0433120	−	0.144403i
$736$	19.8725	−	29.3712i	0.732511	−	1.08264i
$737$	2.17972	−	5.55384i	0.0802910	−	0.204578i
$738$	69.3280	−	32.1778i	2.55200	−	1.18448i
$739$	−8.07364	+	8.70131i	−0.296993	+	0.320083i	−0.863865	−	0.503723i	$-0.831963\pi$
$739$	−8.07364	+	8.70131i	−0.296993	+	0.320083i	0.566872	+	0.823806i	$0.308154\pi$
$740$	0.664865	+	1.48762i	0.0244409	+	0.0546860i
$741$	21.3436	−	44.3205i	0.784078	−	1.62816i
$742$	−3.50551	−	9.21108i	−0.128691	−	0.338150i
$743$	5.43091	+	11.2774i	0.199241	+	0.413727i	0.976520	−	0.215429i	$-0.0691149\pi$
$743$	5.43091	+	11.2774i	0.199241	+	0.413727i	−0.777279	+	0.629156i	$0.783401\pi$
$744$	5.79546	−	29.7575i	0.212472	−	1.09096i
$745$	2.15569	+	3.16182i	0.0789784	+	0.115840i
$746$	−11.9549	+	9.25813i	−0.437700	+	0.338964i
$747$	−6.08004	+	5.64145i	−0.222457	+	0.206410i
$748$	5.06132	−	0.615941i	0.185060	−	0.0225210i
$749$	30.1993	+	27.8025i	1.10346	+	1.01588i
$750$	−8.11737	−	1.34206i	−0.296404	−	0.0490050i
$751$	30.0848	−	2.25454i	1.09781	−	0.0822694i	0.486515	−	0.873672i	$-0.338268\pi$
$751$	30.0848	−	2.25454i	1.09781	−	0.0822694i	0.611295	+	0.791403i	$0.290649\pi$
$752$	−5.89241	−	34.8700i	−0.214874	−	1.27158i
$753$	25.4984	−	44.1646i	0.929214	−	1.60945i
$754$	−7.62243	+	12.7784i	−0.277593	+	0.465362i
$755$	0.174647	+	0.765177i	0.00635604	+	0.0278476i
$756$	−47.7024	−	29.1285i	−1.73492	−	1.05939i
$757$	3.37671	−	14.7943i	0.122729	−	0.537709i	−0.875760	−	0.482747i	$-0.839639\pi$
$757$	3.37671	−	14.7943i	0.122729	−	0.537709i	0.998488	−	0.0549621i	$-0.0175038\pi$
$758$	−33.4135	−	31.9012i	−1.21363	−	1.15870i
$759$	11.5327	+	29.3847i	0.418609	+	1.06660i
$760$	1.36085	+	3.95685i	0.0493631	+	0.143530i
$761$	7.78835	+	25.2492i	0.282328	+	0.915284i	0.980022	+	0.198888i	$0.0637331\pi$
$761$	7.78835	+	25.2492i	0.282328	+	0.915284i	−0.697695	+	0.716395i	$0.745791\pi$
$762$	−77.6822	+	22.7547i	−2.81413	+	0.824317i
$763$	−2.02123	+	4.23935i	−0.0731736	+	0.153475i
$764$	1.82815	−	5.37763i	0.0661403	−	0.194556i
$765$	−0.951593	−	1.64821i	−0.0344049	−	0.0595911i
$766$	0.0340854	−	2.39186i	0.00123156	−	0.0864214i
$767$	−2.60411	+	8.44231i	−0.0940288	+	0.304834i
$768$	−41.5734	−	26.2266i	−1.50015	−	0.946372i
$769$	−17.6198	−	14.0513i	−0.635387	−	0.506704i	0.252001	−	0.967727i	$-0.418911\pi$
$769$	−17.6198	−	14.0513i	−0.635387	−	0.506704i	−0.887388	+	0.461023i	$0.847483\pi$
$770$	0.717253	+	0.918755i	0.0258480	+	0.0331096i
$771$	28.0808	−	22.3937i	1.01130	−	0.806488i
$772$	−1.62022	−	8.16459i	−0.0583132	−	0.293850i
$773$	−4.88375	−	32.4016i	−0.175656	−	1.16540i	−0.886731	−	0.462286i	$-0.847029\pi$
$773$	−4.88375	−	32.4016i	−0.175656	−	1.16540i	0.711075	−	0.703117i	$-0.248209\pi$
$774$	−20.1440	−	10.0569i	−0.724063	−	0.361489i
$775$	−17.1251	−	2.58120i	−0.615153	−	0.0927194i
$776$	−20.9716	+	9.01660i	−0.752837	+	0.323677i
$777$	34.7353	−	2.73931i	1.24612	−	0.0982721i
$778$	41.2228	−	2.49911i	1.47791	−	0.0895973i
$779$	−36.8083	+	53.9878i	−1.31879	+	1.93431i
$780$	−2.31473	+	0.642366i	−0.0828808	+	0.0230004i
$781$	−1.53169	+	20.4390i	−0.0548083	+	0.731366i
$782$	−1.86069	−	13.6632i	−0.0665381	−	0.488595i
$783$	−54.0239			−1.93066
$784$	−22.3310	−	16.8916i	−0.797535	−	0.603272i
$785$	0.575895			0.0205546
$786$	9.71581	+	71.3440i	0.346551	+	2.54475i
$787$	2.31375	−	30.8748i	0.0824762	−	1.10057i	−0.790389	−	0.612606i	$-0.790121\pi$
$787$	2.31375	−	30.8748i	0.0824762	−	1.10057i	0.872865	−	0.487962i	$-0.162260\pi$
$788$	21.6691	−	6.01344i	0.771931	−	0.214220i
$789$	−19.3399	+	28.3664i	−0.688518	+	1.00987i
$790$	−2.60397	+	0.157864i	−0.0926451	+	0.00561654i
$791$	8.77891	+	28.0714i	0.312142	+	0.998105i
$792$	27.4202	−	11.7891i	0.974334	−	0.418908i
$793$	22.7251	+	3.42526i	0.806993	+	0.121635i
$794$	5.15586	+	2.57407i	0.182975	+	0.0913504i
$795$	−0.229222	−	1.52079i	−0.00812966	−	0.0539368i
$796$	−3.78308	−	19.0636i	−0.134088	−	0.675691i
$797$	−7.14358	+	5.69682i	−0.253039	+	0.201792i	−0.741791	−	0.670631i	$-0.766023\pi$
$797$	−7.14358	+	5.69682i	−0.253039	+	0.201792i	0.488753	+	0.872422i	$0.337452\pi$
$798$	89.4710	+	0.926059i	3.16724	+	0.0327821i
$799$	−10.7511	−	8.57369i	−0.380346	−	0.303315i
$800$	−13.9535	+	24.3676i	−0.493331	+	0.861527i
$801$	−10.1124	+	32.7836i	−0.357304	+	1.15835i
$802$	0.574136	−	40.2885i	0.0202734	−	1.42264i
$803$	−12.4198	−	21.5117i	−0.438285	−	0.759132i
$804$	−7.19877	+	21.1756i	−0.253881	+	0.746806i
$805$	2.45688	−	1.97502i	0.0865935	−	0.0696102i
$806$	−9.74056	+	2.85322i	−0.343097	+	0.100500i
$807$	12.7774	+	41.4232i	0.449784	+	1.45817i
$808$	3.29151	+	9.57050i	0.115795	+	0.336689i
$809$	−6.90825	−	17.6019i	−0.242881	−	0.618851i	0.756501	−	0.653992i	$-0.226907\pi$
$809$	−6.90825	−	17.6019i	−0.242881	−	0.618851i	−0.999382	+	0.0351412i	$0.988812\pi$
$810$	−2.55368	−	2.43810i	−0.0897271	−	0.0856659i
$811$	−2.50112	+	10.9581i	−0.0878262	+	0.384792i	−0.999668	−	0.0257490i	$-0.991803\pi$
$811$	−2.50112	+	10.9581i	−0.0878262	+	0.384792i	0.911842	+	0.410541i	$0.134660\pi$
$812$	−26.9302	−	2.68570i	−0.945065	−	0.0942495i
$813$	11.8649	+	51.9836i	0.416121	+	1.82315i
$814$	−5.09034	+	8.53355i	−0.178416	+	0.299101i
$815$	1.33288	−	2.30861i	0.0466886	−	0.0808671i
$816$	−18.8462	+	3.18468i	−0.659750	+	0.111486i
$817$	19.1943	−	1.43842i	0.671524	−	0.0503238i
$818$	55.0599	+	9.10314i	1.92513	+	0.318284i
$819$	−2.48228	+	34.9522i	−0.0867379	+	1.22133i
$820$	3.16748	−	0.385469i	0.110613	−	0.0134612i
$821$	−3.23846	+	3.00485i	−0.113023	+	0.104870i	−0.734660	−	0.678435i	$-0.762658\pi$
$821$	−3.23846	+	3.00485i	−0.113023	+	0.104870i	0.621637	+	0.783305i	$0.286468\pi$
$822$	−1.10304	+	0.854219i	−0.0384730	+	0.0297943i
$823$	28.9965	+	42.5301i	1.01076	+	1.48251i	0.870363	+	0.492410i	$0.163884\pi$
$823$	28.9965	+	42.5301i	1.01076	+	1.48251i	0.140392	+	0.990096i	$0.455164\pi$
$824$	−0.137836	+	0.707736i	−0.00480175	+	0.0246552i
$825$	−10.8451	−	22.5200i	−0.377576	−	0.784045i
$826$	−15.9141	+	2.23047i	−0.553724	+	0.0776081i
$827$	2.15975	−	4.48477i	0.0751019	−	0.155951i	−0.860037	−	0.510231i	$-0.829560\pi$
$827$	2.15975	−	4.48477i	0.0751019	−	0.155951i	0.935139	+	0.354280i	$0.115274\pi$
$828$	−32.9371	−	73.6959i	−1.14464	−	2.56111i
$829$	−2.81262	+	3.03129i	−0.0976864	+	0.105281i	−0.780003	−	0.625776i	$-0.784782\pi$
$829$	−2.81262	+	3.03129i	−0.0976864	+	0.105281i	0.682316	+	0.731057i	$0.260973\pi$
$830$	−0.314081	+	0.145777i	−0.0109019	+	0.00505999i
$831$	−18.9847	+	48.3723i	−0.658572	+	1.67802i
$832$	−1.40530	+	16.3966i	−0.0487201	+	0.568451i
$833$	−10.8505	+	0.898282i	−0.375946	+	0.0311236i
$834$	−18.8189	+	10.5105i	−0.651647	+	0.363948i
$835$	1.68694	+	0.662074i	0.0583789	+	0.0229120i
$836$	−14.9688	+	20.6645i	−0.517707	+	0.714696i
$837$	−27.0148	−	25.0661i	−0.933768	−	0.866410i
$838$	8.83625	+	0.788950i	0.305243	+	0.0272538i
$839$	14.0171	+	6.75028i	0.483924	+	0.233046i	0.659906	−	0.751348i	$-0.270596\pi$
$839$	14.0171	+	6.75028i	0.483924	+	0.233046i	−0.175982	+	0.984393i	$0.556310\pi$
$840$	−2.84530	−	3.31601i	−0.0981723	−	0.114413i
$841$	2.55977	−	1.23272i	0.0882678	−	0.0425075i
$842$	−18.1966	+	6.84404i	−0.627096	+	0.235861i
$843$	−26.3971	+	17.9972i	−0.909164	+	0.619857i
$844$	17.2169	+	7.32993i	0.592629	+	0.252307i
$845$	−1.13350	−	1.22162i	−0.0389936	−	0.0420251i
$846$	−74.5068	−	30.4740i	−2.56160	−	1.04772i
$847$	6.40127	−	21.0434i	0.219950	−	0.723060i
$848$	−10.3120	−	2.16128i	−0.354116	−	0.0742187i
$849$	−0.280707	−	3.74578i	−0.00963384	−	0.128555i
$850$	2.27770	+	10.6785i	0.0781246	+	0.366268i
$851$	23.2728	+	13.4365i	0.797780	+	0.460599i
$852$	2.18944	−	76.8036i	0.0750090	−	2.63125i
$853$	−14.9041	+	3.40176i	−0.510306	+	0.116474i	−0.469918	−	0.882710i	$-0.655717\pi$
$853$	−14.9041	+	3.40176i	−0.510306	+	0.116474i	−0.0403879	+	0.999184i	$0.512859\pi$
$854$	11.9072	+	40.0700i	0.407456	+	1.37117i
$855$	9.28575	+	2.11941i	0.317566	+	0.0724824i
$856$	42.4475	−	11.1308i	1.45083	−	0.380442i
$857$	11.2872	−	4.42989i	0.385563	−	0.151322i	−0.164639	−	0.986354i	$-0.552646\pi$
$857$	11.2872	−	4.42989i	0.385563	−	0.151322i	0.550202	+	0.835032i	$0.314551\pi$
$858$	−11.3217	−	9.29573i	−0.386516	−	0.317351i
$859$	−18.8445	+	5.81276i	−0.642966	+	0.198329i	−0.599057	−	0.800707i	$-0.704458\pi$
$859$	−18.8445	+	5.81276i	−0.642966	+	0.198329i	−0.0439096	+	0.999036i	$0.513981\pi$
$860$	−0.670535	−	0.658704i	−0.0228651	−	0.0224616i
$861$	14.9235	−	66.5798i	0.508591	−	2.26903i
$862$	13.7539	−	12.4017i	0.468458	−	0.422405i
$863$	−50.1791	+	28.9709i	−1.70812	+	0.986181i	−0.771222	+	0.636567i	$0.780354\pi$
$863$	−50.1791	+	28.9709i	−1.70812	+	0.986181i	−0.936894	+	0.349614i	$0.886313\pi$
$864$	−53.7421	+	26.1164i	−1.82834	+	0.888497i
$865$	−2.36731	−	0.730217i	−0.0804908	−	0.0248281i
$866$	13.2040	−	8.72936i	0.448690	−	0.296636i
$867$	27.9291	−	35.0219i	0.948520	−	1.18941i
$868$	−12.2204	−	13.8381i	−0.414788	−	0.469696i
$869$	−9.91874	−	12.4377i	−0.336470	−	0.421920i
$870$	−4.01753	−	1.30222i	−0.136207	−	0.0441494i
$871$	7.40433	−	1.11602i	0.250886	−	0.0378150i
$872$	2.64845	+	4.26547i	0.0896879	+	0.144447i
$873$	−7.74449	+	51.3813i	−0.262111	+	1.73899i
$874$	56.4582	+	39.6827i	1.90973	+	1.34229i
$875$	−3.65947	+	3.42214i	−0.123713	+	0.115690i
$876$	50.2407	+	78.3999i	1.69748	+	2.64889i
$877$	21.7588	+	14.8349i	0.734743	+	0.500939i	0.871945	−	0.489604i	$-0.162859\pi$
$877$	21.7588	+	14.8349i	0.734743	+	0.500939i	−0.137202	+	0.990543i	$0.543811\pi$
$878$	10.9496	+	2.66388i	0.369531	+	0.0899015i
$879$	73.8889	+	5.53721i	2.49221	+	0.186765i
$880$	1.24071	−	0.115221i	0.0418244	−	0.00388409i
$881$		−	29.2159i		−	0.984309i	−0.870508	−	0.492154i	$-0.836210\pi$
$881$		−	29.2159i		−	0.984309i	0.870508	−	0.492154i	$-0.163790\pi$
$882$	−59.4782	+	22.9018i	−2.00273	+	0.771144i
$883$		−	20.3747i		−	0.685664i	−0.939397	−	0.342832i	$-0.888614\pi$
$883$		−	20.3747i		−	0.685664i	0.939397	−	0.342832i	$-0.111386\pi$
$884$	3.84557	+	5.11466i	0.129341	+	0.172024i
$885$	−2.50066	−	0.187399i	−0.0840589	−	0.00629934i
$886$	−0.587098	+	2.41320i	−0.0197239	+	0.0810732i
$887$	18.2674	+	12.4545i	0.613360	+	0.418182i	0.829758	−	0.558123i	$-0.188478\pi$
$887$	18.2674	+	12.4545i	0.613360	+	0.418182i	−0.216398	+	0.976305i	$0.569431\pi$
$888$	17.5811	−	32.8387i	0.589984	−	1.10200i
$889$	−17.8297	+	45.9555i	−0.597990	+	1.54130i
$890$	−0.823610	+	1.17179i	−0.0276075	+	0.0392783i
$891$	3.20893	−	21.2898i	0.107503	−	0.713237i
$892$	−0.999007	−	21.5612i	−0.0334492	−	0.721921i
$893$	68.0493	−	10.2568i	2.27718	−	0.343230i
$894$	26.9736	−	83.2174i	0.902133	−	2.78320i
$895$	1.92412	+	2.41277i	0.0643163	+	0.0806501i
$896$	−28.0881	+	10.3470i	−0.938357	+	0.345668i
$897$	−24.7014	+	30.9746i	−0.824756	+	1.03421i
$898$	−21.5977	−	32.6686i	−0.720724	−	1.09017i
$899$	−17.0516	−	5.25971i	−0.568701	−	0.175421i
$900$	30.3681	+	56.2419i	1.01227	+	1.87473i
$901$	−3.54799	+	2.04843i	−0.118201	+	0.0682432i
$902$	13.0303	+	14.4509i	0.433861	+	0.481164i
$903$	−18.0749	+	8.79141i	−0.601495	+	0.292560i
$904$	30.3275	+	8.30036i	1.00868	+	0.276066i
$905$	1.74720	−	0.538941i	0.0580791	−	0.0179150i
$906$	11.3853	−	13.8666i	0.378250	−	0.460688i
$907$	33.2912	−	13.0658i	1.10542	−	0.433844i	0.258737	−	0.965948i	$-0.416694\pi$
$907$	33.2912	−	13.0658i	1.10542	−	0.433844i	0.846679	+	0.532104i	$0.178598\pi$
$908$	2.78531	−	10.7777i	0.0924336	−	0.357671i
$909$	22.4596	+	5.12626i	0.744939	+	0.170027i
$910$	−0.548506	+	1.35613i	−0.0181828	+	0.0449552i
$911$	30.3200	−	6.92035i	1.00455	−	0.229281i	0.311556	−	0.950228i	$-0.399150\pi$
$911$	30.3200	−	6.92035i	1.00455	−	0.229281i	0.692991	+	0.720946i	$0.256293\pi$
$912$	52.4683	−	79.9794i	1.73740	−	2.64838i
$913$	−1.82865	−	1.05577i	−0.0605194	−	0.0349409i
$914$	28.8051	−	6.14410i	0.952787	−	0.203229i
$915$	0.487477	+	6.50493i	0.0161155	+	0.215046i
$916$	0.608844	−	0.219145i	0.0201168	−	0.00724077i
$917$	38.0576	+	21.7751i	1.25677	+	0.719077i
$918$	−8.79566	+	21.5048i	−0.290300	+	0.709764i
$919$	−2.27462	−	2.45146i	−0.0750328	−	0.0808661i	0.694420	−	0.719570i	$-0.255661\pi$
$919$	−2.27462	−	2.45146i	−0.0750328	−	0.0808661i	−0.769452	+	0.638704i	$0.779471\pi$
$920$	−0.359396	−	3.35072i	−0.0118489	−	0.110470i
$921$	24.9890	−	17.0372i	0.823415	−	0.561395i
$922$	10.3983	+	27.6463i	0.342448	+	0.910484i
$923$	−23.1765	+	11.1612i	−0.762862	+	0.367375i
$924$	6.56624	−	25.8233i	0.216014	−	0.849524i
$925$	−19.1714	−	9.23247i	−0.630353	−	0.303562i
$926$	−1.94831	+	21.8212i	−0.0640256	+	0.717088i
$927$	1.20312	+	1.11633i	0.0395157	+	0.0366652i
$928$	−17.9586	+	22.6842i	−0.589520	+	0.744645i
$929$	10.0622	+	3.94911i	0.330129	+	0.129566i	0.524616	−	0.851339i	$-0.324209\pi$
$929$	10.0622	+	3.94911i	0.330129	+	0.129566i	−0.194487	+	0.980905i	$0.562304\pi$
$930$	−1.40477	−	2.51524i	−0.0460643	−	0.0824779i
$931$	33.6390	−	42.8635i	1.10247	−	1.40479i
$932$	9.04477	−	14.6832i	0.296271	−	0.480963i
$933$	21.9459	−	55.9171i	0.718475	−	1.83064i
$934$	13.8795	+	29.9037i	0.454150	+	0.978478i
$935$	0.329555	−	0.355176i	0.0107776	−	0.0116155i
$936$	30.0205	+	22.4052i	0.981251	+	0.732336i
$937$	−13.0921	+	27.1861i	−0.427701	+	0.888131i	0.570082	+	0.821588i	$0.306911\pi$
$937$	−13.0921	+	27.1861i	−0.427701	+	0.888131i	−0.997784	+	0.0665434i	$0.978803\pi$
$938$	7.55548	+	11.3321i	0.246695	+	0.370006i
$939$	22.0608	+	45.8097i	0.719927	+	1.49494i
$940$	−2.56666	−	2.16933i	−0.0837152	−	0.0707556i
$941$	24.1885	+	35.4781i	0.788524	+	1.15655i	0.984404	+	0.175924i	$0.0562912\pi$
$941$	24.1885	+	35.4781i	0.788524	+	1.15655i	−0.195880	+	0.980628i	$0.562756\pi$
$942$	−8.06073	−	10.4087i	−0.262633	−	0.339134i
$943$	38.5764	−	35.7937i	1.25622	−	1.16560i
$944$	−7.17709	+	15.6082i	−0.233594	+	0.508003i
$945$	−5.24894	+	0.812097i	−0.170748	+	0.0264175i
$946$	0.934974	−	5.65515i	0.0303986	−	0.183865i
$947$	−9.68726	+	0.725960i	−0.314794	+	0.0235905i	−0.231190	−	0.972909i	$-0.574262\pi$
$947$	−9.68726	+	0.725960i	−0.314794	+	0.0235905i	−0.0836036	+	0.996499i	$0.526643\pi$
$948$	39.3006	+	44.8544i	1.27643	+	1.45680i
$949$	15.5875	−	26.9983i	0.505990	−	0.876401i
$950$	−46.9279	−	27.9929i	−1.52254	−	0.908210i
$951$	−11.6803	−	51.1747i	−0.378759	−	1.65945i
$952$	−5.45360	+	10.2826i	−0.176752	+	0.333261i
$953$	−8.32470	+	36.4729i	−0.269664	+	1.18147i	0.640742	+	0.767756i	$0.278627\pi$
$953$	−8.32470	+	36.4729i	−0.269664	+	1.18147i	−0.910405	+	0.413717i	$0.864230\pi$
$954$	−16.5612	+	17.3463i	−0.536190	+	0.561609i
$955$	−0.197193	−	0.502439i	−0.00638101	−	0.0162585i
$956$	1.63398	−	9.07734i	0.0528466	−	0.293582i
$957$	−7.59116	−	24.6099i	−0.245387	−	0.795526i
$958$	−1.23461	−	4.21483i	−0.0398885	−	0.136175i
$959$	0.00331304	+	0.849573i	0.000106984	+	0.0274341i
$960$	−4.62610	+	0.646737i	−0.149307	+	0.0208733i
$961$	9.41372	+	16.3050i	0.303669	+	0.525969i
$962$	−12.4695	−	0.177698i	−0.402032	−	0.00572920i
$963$	29.4424	−	95.4500i	0.948769	−	3.07583i
$964$	−5.14163	+	9.94163i	−0.165601	+	0.320198i
$965$	−0.618427	−	0.493179i	−0.0199079	−	0.0158760i
$966$	−70.0849	−	16.7614i	−2.25495	−	0.539290i
$967$	−34.2586	+	27.3203i	−1.10168	+	0.878562i	−0.993302	−	0.115547i	$-0.963138\pi$
$967$	−34.2586	+	27.3203i	−1.10168	+	0.878562i	−0.108380	+	0.994110i	$0.534566\pi$
$968$	−15.2424	−	17.9049i	−0.489910	−	0.575484i
$969$	−5.54350	−	36.7787i	−0.178083	−	1.18150i
$970$	−0.968972	+	1.94085i	−0.0311118	+	0.0623169i
$971$	−9.75171	−	1.46983i	−0.312947	−	0.0471692i	−0.00930930	−	0.999957i	$-0.502963\pi$
$971$	−9.75171	−	1.46983i	−0.312947	−	0.0471692i	−0.303638	+	0.952787i	$0.598201\pi$
$972$	−1.78747	+	17.2422i	−0.0573330	+	0.553044i
$973$	−1.90573	+	12.9871i	−0.0610949	+	0.416349i
$974$	−0.0431134	−	0.711157i	−0.00138144	−	0.0227869i
$975$	17.6716	−	25.9194i	0.565943	−	0.830085i
$976$	42.9303	+	12.4098i	1.37417	+	0.397228i
$977$	−0.658013	+	8.78058i	−0.0210517	+	0.280916i	0.976737	+	0.214443i	$0.0687936\pi$
$977$	−0.658013	+	8.78058i	−0.0210517	+	0.280916i	−0.997788	+	0.0664727i	$0.978825\pi$
$978$	−60.3818	+	8.22295i	−1.93080	+	0.262941i
$979$	−8.73416			−0.279145
$980$	−2.65690	+	0.143878i	−0.0848716	+	0.00459602i
$981$	11.4286			0.364887
$982$	−39.9188	+	5.43625i	−1.27386	+	0.173478i
$983$	−3.40753	+	45.4704i	−0.108683	+	1.45028i	0.630193	+	0.776439i	$0.282976\pi$
$983$	−3.40753	+	45.4704i	−0.108683	+	1.45028i	−0.738876	+	0.673841i	$0.764643\pi$
$984$	−51.3018	−	51.8536i	−1.63544	−	1.65303i
$985$	1.20382	−	1.76568i	0.0383568	−	0.0562591i
$986$	0.680782	+	11.2295i	0.0216805	+	0.357621i
$987$	−62.0937	+	36.1734i	−1.97646	+	1.15141i
$988$	−31.8537	−	3.30221i	−1.01340	−	0.105057i
$989$	−15.3288	−	2.31044i	−0.487427	−	0.0734679i
$990$	1.26692	−	2.53764i	0.0402654	−	0.0806516i
$991$	0.0411560	+	0.273052i	0.00130736	+	0.00867379i	0.989475	−	0.144704i	$-0.0462230\pi$
$991$	0.0411560	+	0.273052i	0.00130736	+	0.00867379i	−0.988168	+	0.153378i	$0.950985\pi$
$992$	−19.5053	+	3.01084i	−0.619294	+	0.0955942i
$993$	58.2788	−	46.4758i	1.84942	−	1.47487i
$994$	−36.2775	−	29.5498i	−1.15065	−	0.937262i
$995$	−1.44397	−	1.15153i	−0.0457769	−	0.0365059i
$996$	7.03091	+	3.63626i	0.222783	+	0.115219i
$997$	3.78730	−	12.2781i	0.119945	−	0.388852i	−0.875612	−	0.483016i	$-0.839541\pi$
$997$	3.78730	−	12.2781i	0.119945	−	0.388852i	0.995557	+	0.0941635i	$0.0300176\pi$
$998$	14.0545	+	0.200285i	0.444887	+	0.00633992i
$999$	−22.6396	−	39.2130i	−0.716287	−	1.24065i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.3.15	yes	312
4.3	odd	2	inner	196.2.p.a.3.5	✓	312
49.33	odd	42	inner	196.2.p.a.131.5	yes	312
196.131	even	42	inner	196.2.p.a.131.15	yes	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.3.5	✓	312	4.3	odd	2	inner
196.2.p.a.3.15	yes	312	1.1	even	1	trivial
196.2.p.a.131.5	yes	312	49.33	odd	42	inner
196.2.p.a.131.15	yes	312	196.131	even	42	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:	\( N \)	\(=\)	\( 196 = 2^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	196.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.190830 + 1.40128i) q^{2} +(0.229583 - 3.06358i) q^{3} +(-1.92717 + 0.534812i) q^{4} +(-0.107063 + 0.157032i) q^{5} +(4.33674 - 0.262912i) q^{6} +(1.48187 - 2.19182i) q^{7} +(-1.11718 - 2.59844i) q^{8} +(-6.36629 - 0.959564i) q^{9} +(-0.240477 - 0.120058i) q^{10} +(-0.244288 - 1.62074i) q^{11} +(1.19599 + 6.02681i) q^{12} +(1.60830 - 1.28258i) q^{13} +(3.35413 + 1.65825i) q^{14} +(0.456500 + 0.364047i) q^{15} +(3.42795 - 2.06135i) q^{16} +(0.458453 - 1.48627i) q^{17} +(0.129739 - 9.10407i) q^{18} +(3.89195 + 6.74105i) q^{19} +(0.122345 - 0.359886i) q^{20} +(-6.37459 - 5.04302i) q^{21} +(2.22450 - 0.651602i) q^{22} +(-1.84780 - 5.99043i) q^{23} +(-8.21701 + 2.82601i) q^{24} +(1.81351 + 4.62074i) q^{25} +(2.10416 + 2.00892i) q^{26} +(-2.35043 + 10.2979i) q^{27} +(-1.68360 + 5.01652i) q^{28} +(1.13810 + 4.98634i) q^{29} +(-0.423017 + 0.709155i) q^{30} +(-1.74446 + 3.02149i) q^{31} +(3.54268 + 4.41015i) q^{32} +(-5.02136 + 0.376299i) q^{33} +(2.17016 + 0.358796i) q^{34} +(0.185533 + 0.467363i) q^{35} +(12.7821 - 1.55553i) q^{36} +(-3.14238 + 2.91570i) q^{37} +(-8.70339 + 6.74010i) q^{38} +(-3.56003 - 5.22160i) q^{39} +(0.527648 + 0.102763i) q^{40} +(3.64222 + 7.56316i) q^{41} +(5.85022 - 9.89494i) q^{42} +(1.07292 - 2.22793i) q^{43} +(1.33758 + 2.99280i) q^{44} +(0.832275 - 0.896980i) q^{45} +(8.04164 - 3.73244i) q^{46} +(3.23001 - 8.22993i) q^{47} +(-5.52809 - 10.9750i) q^{48} +(-2.60813 - 6.49597i) q^{49} +(-6.12888 + 3.42301i) q^{50} +(-4.44804 - 1.74573i) q^{51} +(-2.41353 + 3.33188i) q^{52} +(-1.93087 - 1.79159i) q^{53} +(-14.8788 - 1.32846i) q^{54} +(0.280663 + 0.135160i) q^{55} +(-7.35083 - 1.40189i) q^{56} +(21.5452 - 10.3756i) q^{57} +(-6.77007 + 2.54634i) q^{58} +(-3.54854 + 2.41935i) q^{59} +(-1.07445 - 0.457438i) q^{60} +(7.59889 + 8.18965i) q^{61} +(-4.56685 - 1.86788i) q^{62} +(-11.5372 + 12.5318i) q^{63} +(-5.50381 + 5.80587i) q^{64} +(0.0292168 + 0.389871i) q^{65} +(-1.48552 - 6.96452i) q^{66} +(3.15239 + 1.82004i) q^{67} +(-0.0886418 + 3.10947i) q^{68} +(-18.7763 + 4.28558i) q^{69} +(-0.619501 + 0.349171i) q^{70} +(-12.1915 - 2.78262i) q^{71} +(4.61894 + 17.6145i) q^{72} +(14.1073 - 5.53669i) q^{73} +(-4.68537 - 3.84695i) q^{74} +(14.5723 - 4.49497i) q^{75} +(-11.1056 - 10.9097i) q^{76} +(-3.91438 - 1.86630i) q^{77} +(6.63757 - 5.98503i) q^{78} +(8.40553 - 4.85293i) q^{79} +(-0.0433084 + 0.758992i) q^{80} +(12.5523 + 3.87186i) q^{81} +(-9.90305 + 6.54705i) q^{82} +(0.803223 - 1.00721i) q^{83} +(14.9820 + 6.30954i) q^{84} +(0.184309 + 0.231116i) q^{85} +(3.32670 + 1.07830i) q^{86} +(15.5373 - 2.34187i) q^{87} +(-3.93850 + 2.44544i) q^{88} +(0.794215 - 5.26927i) q^{89} +(1.41574 + 0.995080i) q^{90} +(-0.427884 - 5.42571i) q^{91} +(6.76478 + 10.5563i) q^{92} +(8.85607 + 6.03797i) q^{93} +(12.1488 + 2.95563i) q^{94} +(-1.47524 - 0.110554i) q^{95} +(14.3242 - 9.84076i) q^{96} -8.07084i q^{97} +(8.60496 - 4.89434i) q^{98} +10.5525i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) \) 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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