LMFDB - Embedded newform 196.2.p.a.59.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [196,2,Mod(3,196)]

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

lf = mfeigenbasis(mf)

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")

//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);

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: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$1.56506787962$
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			59.3
Character	$\chi$	$=$	196.59
Dual form			196.2.p.a.103.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.37261 - 0.340497i) q^{2} +(2.65756 - 1.81189i) q^{3} +(1.76812 + 0.934741i) q^{4} +(-3.39552 + 0.254459i) q^{5} +(-4.26474 + 1.58213i) q^{6} +(0.227059 - 2.63599i) q^{7} +(-2.10867 - 1.88508i) q^{8} +(2.68364 - 6.83780i) q^{9} +(4.74738 + 0.806893i) q^{10} +(-0.627861 + 0.246417i) q^{11} +(6.39254 - 0.719520i) q^{12} +(0.189502 + 0.151122i) q^{13} +(-1.20921 + 3.54088i) q^{14} +(-8.56275 + 6.82857i) q^{15} +(2.25252 + 3.30547i) q^{16} +(2.64410 - 2.84966i) q^{17} +(-6.01185 + 8.47187i) q^{18} +(1.77502 + 3.07443i) q^{19} +(-6.24156 - 2.72402i) q^{20} +(-4.17271 - 7.41671i) q^{21} +(0.945714 - 0.124450i) q^{22} +(3.03684 + 3.27294i) q^{23} +(-9.01947 - 1.18902i) q^{24} +(6.52068 - 0.982835i) q^{25} +(-0.208655 - 0.271957i) q^{26} +(-3.11025 - 13.6269i) q^{27} +(2.86544 - 4.44851i) q^{28} +(-0.473043 + 2.07254i) q^{29} +(14.0784 - 6.45737i) q^{30} +(0.307532 - 0.532662i) q^{31} +(-1.96633 - 5.30411i) q^{32} +(-1.22210 + 1.79249i) q^{33} +(-4.59963 + 3.01117i) q^{34} +(-0.100232 + 9.00835i) q^{35} +(11.1366 - 9.58157i) q^{36} +(-1.57405 + 0.485530i) q^{37} +(-1.38958 - 4.82439i) q^{38} +(0.777429 + 0.0582603i) q^{39} +(7.63971 + 5.86426i) q^{40} +(-1.74132 + 3.61590i) q^{41} +(3.20214 + 11.6010i) q^{42} +(2.65014 + 5.50308i) q^{43} +(-1.34047 - 0.151191i) q^{44} +(-7.37242 + 23.9008i) q^{45} +(-3.05398 - 5.52651i) q^{46} +(0.966783 + 0.145719i) q^{47} +(11.9754 + 4.70317i) q^{48} +(-6.89689 - 1.19705i) q^{49} +(-9.28502 - 0.871225i) q^{50} +(1.86357 - 12.3640i) q^{51} +(0.193802 + 0.444338i) q^{52} +(8.02760 + 2.47619i) q^{53} +(-0.370758 + 19.7635i) q^{54} +(2.06922 - 0.996482i) q^{55} +(-5.44784 + 5.13041i) q^{56} +(10.2878 + 4.95433i) q^{57} +(1.35500 - 2.68372i) q^{58} +(-0.668839 + 8.92504i) q^{59} +(-21.5229 + 4.06979i) q^{60} +(-1.03159 - 3.34433i) q^{61} +(-0.603492 + 0.626423i) q^{62} +(-17.4150 - 8.62663i) q^{63} +(0.892967 + 7.95001i) q^{64} +(-0.681912 - 0.464919i) q^{65} +(2.28780 - 2.04427i) q^{66} +(10.4561 + 6.03686i) q^{67} +(7.33879 - 2.56701i) q^{68} +(14.0008 + 3.19559i) q^{69} +(3.20490 - 12.3308i) q^{70} +(9.25271 - 2.11187i) q^{71} +(-18.5487 + 9.35979i) q^{72} +(-2.30687 - 15.3051i) q^{73} +(2.32588 - 0.130484i) q^{74} +(15.5483 - 14.4267i) q^{75} +(0.264663 + 7.09516i) q^{76} +(0.506992 + 1.71099i) q^{77} +(-1.04727 - 0.344681i) q^{78} +(-8.66734 + 5.00409i) q^{79} +(-8.48959 - 10.6506i) q^{80} +(-16.8021 - 15.5901i) q^{81} +(3.62136 - 4.37030i) q^{82} +(-2.81825 - 3.53397i) q^{83} +(-0.445164 - 17.0141i) q^{84} +(-8.25299 + 10.3489i) q^{85} +(-1.76383 - 8.45595i) q^{86} +(2.49808 + 6.36499i) q^{87} +(1.78847 + 0.663955i) q^{88} +(-2.77674 - 1.08979i) q^{89} +(18.2576 - 30.2962i) q^{90} +(0.441385 - 0.465210i) q^{91} +(2.31016 + 8.62562i) q^{92} +(-0.147841 - 1.97280i) q^{93} +(-1.27740 - 0.529203i) q^{94} +(-6.80946 - 9.98764i) q^{95} +(-14.8361 - 10.5332i) q^{96} -0.505774i q^{97} +(9.05915 + 3.99146i) q^{98} +4.95449i 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 $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$.

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{13}{42}\right)$

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 $

$2$	−1.37261	−	0.340497i	−0.970583	−	0.240768i
$2$	−1.37261	−	0.340497i	−0.970583	−	0.240768i
$3$	2.65756	−	1.81189i	1.53434	−	1.04610i	0.558007	−	0.829837i	$-0.311566\pi$
$3$	2.65756	−	1.81189i	1.53434	−	1.04610i	0.976336	−	0.216260i	$-0.0693860\pi$
$4$	1.76812	+	0.934741i	0.884062	+	0.467371i
$5$	−3.39552	+	0.254459i	−1.51852	+	0.113798i	−0.807709	−	0.589581i	$-0.799293\pi$
$5$	−3.39552	+	0.254459i	−1.51852	+	0.113798i	−0.710815	+	0.703379i	$0.751674\pi$
$6$	−4.26474	+	1.58213i	−1.74107	+	0.645903i
$7$	0.227059	−	2.63599i	0.0858203	−	0.996311i
$7$	0.227059	−	2.63599i	0.0858203	−	0.996311i
$8$	−2.10867	−	1.88508i	−0.745527	−	0.666475i
$9$	2.68364	−	6.83780i	0.894547	−	2.27927i
$10$	4.74738	+	0.806893i	1.50125	+	0.255162i
$11$	−0.627861	+	0.246417i	−0.189307	+	0.0742977i	−0.458101	−	0.888900i	$-0.651470\pi$
$11$	−0.627861	+	0.246417i	−0.189307	+	0.0742977i	0.268794	+	0.963198i	$0.413375\pi$
$12$	6.39254	−	0.719520i	1.84537	−	0.207708i
$13$	0.189502	+	0.151122i	0.0525583	+	0.0419138i	0.649417	−	0.760433i	$-0.275013\pi$
$13$	0.189502	+	0.151122i	0.0525583	+	0.0419138i	−0.596858	+	0.802347i	$0.703585\pi$
$14$	−1.20921	+	3.54088i	−0.323175	+	0.946339i
$15$	−8.56275	+	6.82857i	−2.21089	+	1.76313i
$16$	2.25252	+	3.30547i	0.563130	+	0.826369i
$17$	2.64410	−	2.84966i	0.641289	−	0.691145i	−0.325842	−	0.945424i	$-0.605648\pi$
$17$	2.64410	−	2.84966i	0.641289	−	0.691145i	0.967131	+	0.254279i	$0.0818383\pi$
$18$	−6.01185	+	8.47187i	−1.41701	+	1.99684i
$19$	1.77502	+	3.07443i	0.407218	+	0.705323i	0.994577	−	0.104004i	$-0.0331654\pi$
$19$	1.77502	+	3.07443i	0.407218	+	0.705323i	−0.587358	+	0.809327i	$0.699832\pi$
$20$	−6.24156	−	2.72402i	−1.39566	−	0.609110i
$21$	−4.17271	−	7.41671i	−0.910560	−	1.61846i
$22$	0.945714	−	0.124450i	0.201627	−	0.0265329i
$23$	3.03684	+	3.27294i	0.633225	+	0.682455i	0.965403	−	0.260762i	$-0.0839738\pi$
$23$	3.03684	+	3.27294i	0.633225	+	0.682455i	−0.332178	+	0.943217i	$0.607783\pi$
$24$	−9.01947	−	1.18902i	−1.84109	−	0.242708i
$25$	6.52068	−	0.982835i	1.30414	−	0.196567i
$26$	−0.208655	−	0.271957i	−0.0409206	−	0.0533352i
$27$	−3.11025	−	13.6269i	−0.598568	−	2.62250i
$28$	2.86544	−	4.44851i	0.541517	−	0.840690i
$29$	−0.473043	+	2.07254i	−0.0878419	+	0.384861i	−0.999669	−	0.0257130i	$-0.991814\pi$
$29$	−0.473043	+	2.07254i	−0.0878419	+	0.384861i	0.911827	+	0.410574i	$0.134672\pi$
$30$	14.0784	−	6.45737i	2.57036	−	1.17895i
$31$	0.307532	−	0.532662i	0.0552344	−	0.0956688i	−0.837086	−	0.547071i	$-0.815743\pi$
$31$	0.307532	−	0.532662i	0.0552344	−	0.0956688i	0.892321	+	0.451402i	$0.149076\pi$
$32$	−1.96633	−	5.30411i	−0.347601	−	0.937643i
$33$	−1.22210	+	1.79249i	−0.212740	+	0.312032i
$34$	−4.59963	+	3.01117i	−0.788829	+	0.516411i
$35$	−0.100232	+	9.00835i	−0.0169423	+	1.52269i
$36$	11.1366	−	9.58157i	1.85610	−	1.59693i
$37$	−1.57405	+	0.485530i	−0.258772	+	0.0798207i	−0.421427	−	0.906862i	$-0.638471\pi$
$37$	−1.57405	+	0.485530i	−0.258772	+	0.0798207i	0.162655	+	0.986683i	$0.447994\pi$
$38$	−1.38958	−	4.82439i	−0.225420	−	0.782620i
$39$	0.777429	+	0.0582603i	0.124488	+	0.00932911i
$40$	7.63971	+	5.86426i	1.20794	+	0.927220i
$41$	−1.74132	+	3.61590i	−0.271949	+	0.564708i	−0.991557	−	0.129673i	$-0.958607\pi$
$41$	−1.74132	+	3.61590i	−0.271949	+	0.564708i	0.719608	+	0.694381i	$0.244322\pi$
$42$	3.20214	+	11.6010i	0.494101	+	1.79008i
$43$	2.65014	+	5.50308i	0.404143	+	0.839211i	0.999364	+	0.0356496i	$0.0113500\pi$
$43$	2.65014	+	5.50308i	0.404143	+	0.839211i	−0.595222	+	0.803562i	$0.702936\pi$
$44$	−1.34047	−	0.151191i	−0.202084	−	0.0227930i
$45$	−7.37242	+	23.9008i	−1.09902	+	3.56292i
$46$	−3.05398	−	5.52651i	−0.450284	−	0.814839i
$47$	0.966783	+	0.145719i	0.141020	+	0.0212553i	0.219173	−	0.975686i	$-0.429664\pi$
$47$	0.966783	+	0.145719i	0.141020	+	0.0212553i	−0.0781529	+	0.996941i	$0.524902\pi$
$48$	11.9754	+	4.70317i	1.72850	+	0.678844i
$49$	−6.89689	−	1.19705i	−0.985270	−	0.171007i
$50$	−9.28502	−	0.871225i	−1.31310	−	0.123210i
$51$	1.86357	−	12.3640i	0.260952	−	1.73130i
$52$	0.193802	+	0.444338i	0.0268755	+	0.0616186i
$53$	8.02760	+	2.47619i	1.10268	+	0.340130i	0.792083	−	0.610413i	$-0.208997\pi$
$53$	8.02760	+	2.47619i	1.10268	+	0.340130i	0.310592	+	0.950543i	$0.399473\pi$
$54$	−0.370758	+	19.7635i	−0.0504538	+	2.68947i
$55$	2.06922	−	0.996482i	0.279013	−	0.134366i
$56$	−5.44784	+	5.13041i	−0.727998	+	0.685579i
$57$	10.2878	+	4.95433i	1.36265	+	0.656217i
$58$	1.35500	−	2.68372i	0.177920	−	0.352389i
$59$	−0.668839	+	8.92504i	−0.0870754	+	1.16194i	0.766949	+	0.641708i	$0.221774\pi$
$59$	−0.668839	+	8.92504i	−0.0870754	+	1.16194i	−0.854024	+	0.520233i	$0.825845\pi$
$60$	−21.5229	+	4.06979i	−2.77860	+	0.525408i
$61$	−1.03159	−	3.34433i	−0.132082	−	0.428198i	0.865238	−	0.501361i	$-0.167167\pi$
$61$	−1.03159	−	3.34433i	−0.132082	−	0.428198i	−0.997320	+	0.0731626i	$0.976691\pi$
$62$	−0.603492	+	0.626423i	−0.0766436	+	0.0795558i
$63$	−17.4150	−	8.62663i	−2.19409	−	1.08685i
$64$	0.892967	+	7.95001i	0.111621	+	0.993751i
$65$	−0.681912	−	0.464919i	−0.0845807	−	0.0576662i
$66$	2.28780	−	2.04427i	0.281609	−	0.251632i
$67$	10.4561	+	6.03686i	1.27742	+	0.737520i	0.976374	−	0.216089i	$-0.0693303\pi$
$67$	10.4561	+	6.03686i	1.27742	+	0.737520i	0.301048	+	0.953609i	$0.402664\pi$
$68$	7.33879	−	2.56701i	0.889959	−	0.311295i
$69$	14.0008	+	3.19559i	1.68550	+	0.384704i
$70$	3.20490	−	12.3308i	0.383059	−	1.47382i
$71$	9.25271	−	2.11187i	1.09809	−	0.250633i	0.365169	−	0.930941i	$-0.381011\pi$
$71$	9.25271	−	2.11187i	1.09809	−	0.250633i	0.732926	+	0.680309i	$0.238154\pi$
$72$	−18.5487	+	9.35979i	−2.18598	+	1.10306i
$73$	−2.30687	−	15.3051i	−0.269999	−	1.79133i	−0.554014	−	0.832507i	$-0.686905\pi$
$73$	−2.30687	−	15.3051i	−0.269999	−	1.79133i	0.284015	−	0.958820i	$-0.408333\pi$
$74$	2.32588	−	0.130484i	0.270378	−	0.0151685i
$75$	15.5483	−	14.4267i	1.79536	−	1.66585i
$76$	0.264663	+	7.09516i	0.0303590	+	0.813871i
$77$	0.506992	+	1.71099i	0.0577771	+	0.194985i
$78$	−1.04727	−	0.344681i	−0.118580	−	0.0390275i
$79$	−8.66734	+	5.00409i	−0.975152	+	0.563004i	−0.900803	−	0.434228i	$-0.857021\pi$
$79$	−8.66734	+	5.00409i	−0.975152	+	0.563004i	−0.0743489	+	0.997232i	$0.523688\pi$
$80$	−8.48959	−	10.6506i	−0.949165	−	1.19078i
$81$	−16.8021	−	15.5901i	−1.86690	−	1.73223i
$82$	3.62136	−	4.37030i	0.399913	−	0.482619i
$83$	−2.81825	−	3.53397i	−0.309343	−	0.387904i	0.602721	−	0.797952i	$-0.294083\pi$
$83$	−2.81825	−	3.53397i	−0.309343	−	0.387904i	−0.912064	+	0.410048i	$0.865512\pi$
$84$	−0.445164	−	17.0141i	−0.0485714	−	1.85639i
$85$	−8.25299	+	10.3489i	−0.895162	+	1.12250i
$86$	−1.76383	−	8.45595i	−0.190199	−	0.911829i
$87$	2.49808	+	6.36499i	0.267822	+	0.682399i
$88$	1.78847	+	0.663955i	0.190651	+	0.0707778i
$89$	−2.77674	−	1.08979i	−0.294334	−	0.115518i	0.213579	−	0.976926i	$-0.431488\pi$
$89$	−2.77674	−	1.08979i	−0.294334	−	0.115518i	−0.507914	+	0.861408i	$0.669583\pi$
$90$	18.2576	−	30.2962i	1.92452	−	3.19350i
$91$	0.441385	−	0.465210i	0.0462697	−	0.0487673i
$92$	2.31016	+	8.62562i	0.240851	+	0.899283i
$93$	−0.147841	−	1.97280i	−0.0153304	−	0.204569i
$94$	−1.27740	−	0.529203i	−0.131754	−	0.0545831i
$95$	−6.80946	−	9.98764i	−0.698635	−	1.02471i
$96$	−14.8361	−	10.5332i	−1.51420	−	1.07504i
$97$		−	0.505774i		−	0.0513536i	−0.999670	−	0.0256768i	$-0.991826\pi$
$97$		−	0.505774i		−	0.0513536i	0.999670	−	0.0256768i	$-0.00817408\pi$
$98$	9.05915	+	3.99146i	0.915113	+	0.403198i
$99$			4.95449i			0.497945i
$100$	12.4481	+	4.35738i	1.24481	+	0.435738i
$101$	−8.26027	−	12.1156i	−0.821928	−	1.20555i	−0.976061	−	0.217497i	$-0.930211\pi$
$101$	−8.26027	−	12.1156i	−0.821928	−	1.20555i	0.154133	−	0.988050i	$-0.450742\pi$
$102$	−6.76786	+	16.3364i	−0.670118	+	1.61754i
$103$	0.589038	+	7.86017i	0.0580396	+	0.774485i	0.947964	+	0.318377i	$0.103138\pi$
$103$	0.589038	+	7.86017i	0.0580396	+	0.774485i	−0.889924	+	0.456108i	$0.849243\pi$
$104$	−0.114718	−	0.675892i	−0.0112491	−	0.0662767i
$105$	16.0558	+	24.1218i	1.56688	+	2.35405i
$106$	−10.1756	−	6.13221i	−0.988345	−	0.595613i
$107$	11.3299	+	4.44666i	1.09530	+	0.429875i	0.843077	−	0.537794i	$-0.180742\pi$
$107$	11.3299	+	4.44666i	1.09530	+	0.429875i	0.252226	+	0.967668i	$0.418837\pi$
$108$	7.23831	−	27.0013i	0.696507	−	2.59820i
$109$	2.95401	+	7.52669i	0.282943	+	0.720926i	0.999721	+	0.0236247i	$0.00752069\pi$
$109$	2.95401	+	7.52669i	0.282943	+	0.720926i	−0.716778	+	0.697301i	$0.754384\pi$
$110$	−3.17953	+	0.663220i	−0.303156	+	0.0632355i
$111$	−3.30340	+	4.14234i	−0.313545	+	0.393173i
$112$	9.22465	−	5.18708i	0.871648	−	0.490133i
$113$	−2.95648	−	3.70731i	−0.278123	−	0.348755i	0.623076	−	0.782161i	$-0.285883\pi$
$113$	−2.95648	−	3.70731i	−0.278123	−	0.348755i	−0.901198	+	0.433407i	$0.857311\pi$
$114$	−12.4342	−	10.3033i	−1.16457	−	0.964995i
$115$	−11.1445	−	10.3406i	−1.03923	−	0.964265i
$116$	−2.77368	+	3.22233i	−0.257530	+	0.299186i
$117$	1.54190	−	0.890216i	0.142549	−	0.0823005i
$118$	3.95701	−	12.0229i	0.364272	−	1.10679i
$119$	−6.91132	−	7.61687i	−0.633559	−	0.698237i
$120$	30.9284	+	1.74226i	2.82336	+	0.159046i
$121$	−7.73008	+	7.17247i	−0.702735	+	0.652043i
$122$	0.277236	+	4.94172i	0.0250997	+	0.447403i
$123$	1.92395	+	12.7645i	0.173476	+	1.15094i
$124$	1.04166	−	0.654348i	0.0935434	−	0.0587622i
$125$	−5.29268	+	1.20802i	−0.473392	+	0.108049i
$126$	20.9667	+	17.7708i	1.86786	+	1.58315i
$127$	−16.9020	−	3.85776i	−1.49981	−	0.342321i	−0.607707	−	0.794161i	$-0.707911\pi$
$127$	−16.9020	−	3.85776i	−1.49981	−	0.342321i	−0.892099	+	0.451840i	$0.850768\pi$
$128$	1.48126	−	11.2163i	0.130926	−	0.991392i
$129$	17.0139	+	9.82297i	1.49799	+	0.864865i
$130$	0.777696	+	0.870343i	0.0682084	+	0.0763341i
$131$	−14.8851	−	10.1485i	−1.30052	−	0.886679i	−0.302727	−	0.953077i	$-0.597897\pi$
$131$	−14.8851	−	10.1485i	−1.30052	−	0.886679i	−0.997793	+	0.0663981i	$0.978849\pi$
$132$	−3.83633	+	2.02699i	−0.333910	+	0.176427i
$133$	8.50721	−	3.98087i	0.737668	−	0.345185i
$134$	−12.2967	−	11.8465i	−1.06227	−	1.02339i
$135$	14.0284	+	45.4790i	1.20737	+	3.91421i
$136$	−10.9474	+	1.02466i	−0.938729	+	0.0878639i
$137$	−0.775646	+	10.3503i	−0.0662679	+	0.884284i	0.860692	+	0.509125i	$0.170031\pi$
$137$	−0.775646	+	10.3503i	−0.0662679	+	0.884284i	−0.926960	+	0.375159i	$0.877588\pi$
$138$	−18.1296	−	9.15354i	−1.54329	−	0.779201i
$139$	3.69058	+	1.77729i	0.313031	+	0.150748i	0.583802	−	0.811896i	$-0.301564\pi$
$139$	3.69058	+	1.77729i	0.313031	+	0.150748i	−0.270771	+	0.962644i	$0.587279\pi$
$140$	−8.59769	+	15.8342i	−0.726638	+	1.33823i
$141$	2.83331	−	1.36445i	0.238608	−	0.114907i
$142$	−13.4195	−	0.251746i	−1.12614	−	0.0211261i
$143$	−0.156220	−	0.0481875i	−0.0130638	−	0.00402964i
$144$	28.6471	−	6.53157i	2.38726	−	0.544298i
$145$	1.07885	−	7.15772i	0.0895939	−	0.594417i
$146$	−2.04491	+	21.7934i	−0.169238	+	1.80364i
$147$	−20.4978	+	9.31519i	−1.69063	+	0.768304i
$148$	−3.23696	−	0.612852i	−0.266076	−	0.0503761i
$149$	−1.13436	−	0.170977i	−0.0929304	−	0.0140070i	0.102412	−	0.994742i	$-0.467344\pi$
$149$	−1.13436	−	0.170977i	−0.0929304	−	0.0140070i	−0.195343	+	0.980735i	$0.562582\pi$
$150$	−26.2540	+	14.5081i	−2.14363	+	1.18458i
$151$	4.79256	−	15.5371i	0.390013	−	1.26439i	−0.521547	−	0.853222i	$-0.674645\pi$
$151$	4.79256	−	15.5371i	0.390013	−	1.26439i	0.911560	−	0.411167i	$-0.134879\pi$
$152$	2.05260	−	9.82902i	0.166488	−	0.797239i
$153$	−12.3896	−	25.7273i	−1.00164	−	2.07993i
$154$	−0.113317	−	2.52115i	−0.00913131	−	0.203160i
$155$	−0.908693	+	1.88692i	−0.0729880	+	0.151561i
$156$	1.32013	+	0.829706i	0.105695	+	0.0664297i
$157$	−10.0765	−	0.755133i	−0.804196	−	0.0602661i	−0.333712	−	0.942675i	$-0.608301\pi$
$157$	−10.0765	−	0.755133i	−0.804196	−	0.0602661i	−0.470483	+	0.882409i	$0.655920\pi$
$158$	13.6008	−	3.91746i	1.08202	−	0.311657i
$159$	25.8204	−	7.96454i	2.04769	−	0.631629i
$160$	8.02639	+	17.5099i	0.634542	+	1.38428i
$161$	9.31697	−	7.26194i	0.734280	−	0.572321i
$162$	17.7544	+	27.1202i	1.39491	+	2.13076i
$163$	−7.35734	+	10.7912i	−0.576271	+	0.845234i	−0.998111	−	0.0614359i	$-0.980432\pi$
$163$	−7.35734	+	10.7912i	−0.576271	+	0.845234i	0.421840	+	0.906670i	$0.361384\pi$
$164$	−6.45880	+	4.76566i	−0.504348	+	0.372136i
$165$	3.69354	−	6.39741i	0.287542	−	0.498037i
$166$	2.66505	+	5.81038i	0.206848	+	0.450973i
$167$	4.07562	−	17.8565i	0.315381	−	1.38177i	−0.530175	−	0.847888i	$-0.677874\pi$
$167$	4.07562	−	17.8565i	0.315381	−	1.38177i	0.845556	−	0.533886i	$-0.179269\pi$
$168$	−5.18220	+	23.5053i	−0.399816	+	1.81347i
$169$	−2.87970	−	12.6168i	−0.221515	−	0.970522i
$170$	14.8519	−	11.3949i	1.13909	−	0.873950i
$171$	25.7859	−	3.88660i	1.97190	−	0.297215i
$172$	−0.458174	+	12.2073i	−0.0349355	+	0.930799i
$173$	3.27596	+	3.53065i	0.249067	+	0.268430i	0.845194	−	0.534460i	$-0.179485\pi$
$173$	3.27596	+	3.53065i	0.249067	+	0.268430i	−0.596127	+	0.802890i	$0.703295\pi$
$174$	−1.26162	−	9.58725i	−0.0956434	−	0.726808i
$175$	−1.11016	−	17.4116i	−0.0839204	−	1.31619i
$176$	−2.22880	−	1.52032i	−0.168002	−	0.114598i
$177$	14.3937	+	24.9307i	1.08190	+	1.87390i
$178$	3.44032	+	2.44133i	0.257863	+	0.182986i
$179$	−8.23288	+	8.87294i	−0.615355	+	0.663194i	−0.961442	−	0.275008i	$-0.911320\pi$
$179$	−8.23288	+	8.87294i	−0.615355	+	0.663194i	0.346087	+	0.938202i	$0.387510\pi$
$180$	−35.3764	+	35.3683i	−2.63680	+	2.63619i
$181$	−3.23146	+	2.57700i	−0.240192	+	0.191547i	−0.736186	−	0.676779i	$-0.763375\pi$
$181$	−3.23146	+	2.57700i	−0.240192	+	0.191547i	0.495994	+	0.868326i	$0.334804\pi$
$182$	−0.764253	+	0.488263i	−0.0566502	+	0.0361924i
$183$	−8.80109	−	7.01863i	−0.650595	−	0.518832i
$184$	−0.233954	−	12.6262i	−0.0172473	−	0.930818i
$185$	5.22118	−	2.04916i	0.383869	−	0.150657i
$186$	−0.468804	+	2.75822i	−0.0343744	+	0.202243i
$187$	−0.957922	+	2.44075i	−0.0700502	+	0.178485i
$188$	1.57318	+	1.16134i	0.114736	+	0.0846995i
$189$	−36.6266	+	5.10448i	−2.66419	+	0.371296i
$190$	5.94597	+	16.0277i	0.431366	+	1.16277i
$191$	12.5274	−	0.938797i	0.906449	−	0.0679290i	0.386659	−	0.922223i	$-0.373629\pi$
$191$	12.5274	−	0.938797i	0.906449	−	0.0679290i	0.519790	+	0.854294i	$0.326010\pi$
$192$	16.7777	+	19.5096i	1.21082	+	1.40799i
$193$	−13.3522	+	9.10336i	−0.961110	+	0.655274i	−0.938795	−	0.344477i	$-0.888056\pi$
$193$	−13.3522	+	9.10336i	−0.961110	+	0.655274i	−0.0223156	+	0.999751i	$0.507104\pi$
$194$	−0.172215	+	0.694231i	−0.0123643	+	0.0498429i
$195$	−2.65460			−0.190100
$196$	−11.0756	−	8.56334i	−0.791115	−	0.611667i
$197$	−12.3209			−0.877830			−0.438915	−	0.898529i	$-0.644637\pi$
$197$	−12.3209			−0.877830			−0.438915	+	0.898529i	$0.644637\pi$
$198$	1.68699	−	6.80059i	0.119889	−	0.483297i
$199$	19.1900	−	13.0835i	1.36034	−	0.927465i	0.360356	−	0.932815i	$-0.382655\pi$
$199$	19.1900	−	13.0835i	1.36034	−	0.927465i	0.999986	+	0.00534932i	$0.00170275\pi$
$200$	−15.6027	−	10.2195i	−1.10328	−	0.722629i
$201$	38.7260	−	2.90211i	2.73152	−	0.204699i
$202$	7.21282	+	19.4426i	0.507492	+	1.36798i
$203$	5.35578	+	1.71753i	0.375902	+	0.120547i
$204$	14.8521	−	20.1191i	1.03986	−	1.40862i
$205$	4.99261	−	12.7210i	0.348699	−	0.888470i
$206$	1.86785	−	10.9895i	0.130139	−	0.765676i
$207$	30.5295	−	11.9819i	2.12195	−	0.832803i
$208$	−0.0726756	+	0.966798i	−0.00503915	+	0.0670354i
$209$	−1.87206	−	1.49292i	−0.129493	−	0.103267i
$210$	−13.8249	−	38.5768i	−0.954011	−	2.66205i
$211$	−2.11473	+	1.68644i	−0.145584	+	0.116099i	−0.693573	−	0.720386i	$-0.743965\pi$
$211$	−2.11473	+	1.68644i	−0.145584	+	0.116099i	0.547990	+	0.836485i	$0.315393\pi$
$212$	11.8792	+	11.8819i	0.815866	+	0.816054i
$213$	20.7631	−	22.3773i	1.42267	−	1.53327i
$214$	−14.0375	−	9.96134i	−0.959582	−	0.680943i
$215$	−10.3989	−	18.0115i	−0.709201	−	1.22837i
$216$	−19.1293	+	34.5977i	−1.30158	+	2.35407i
$217$	−1.33426	−	0.931598i	−0.0905757	−	0.0632410i
$218$	−1.49189	−	11.3370i	−0.101043	−	0.767842i
$219$	−33.8619	−	36.4944i	−2.28817	−	2.46606i
$220$	4.59008	+	0.172278i	0.309463	+	0.0116150i
$221$	0.931709	−	0.140433i	0.0626735	−	0.00944652i
$222$	5.94474	−	4.56102i	0.398985	−	0.306115i
$223$	5.19736	+	22.7711i	0.348041	+	1.52487i	0.781622	+	0.623753i	$0.214393\pi$
$223$	5.19736	+	22.7711i	0.348041	+	1.52487i	−0.433580	+	0.901115i	$0.642750\pi$
$224$	−14.4280	+	3.97887i	−0.964015	+	0.265850i
$225$	10.7787	−	47.2247i	0.718582	−	3.14831i
$226$	2.79577	+	6.09538i	0.185972	+	0.405458i
$227$	−6.29043	+	10.8953i	−0.417510	+	0.723149i	−0.995688	−	0.0927617i	$-0.970431\pi$
$227$	−6.29043	+	10.8953i	−0.417510	+	0.723149i	0.578178	+	0.815911i	$0.303764\pi$
$228$	13.5590	+	18.3763i	0.897969	+	1.21700i
$229$	−10.4862	+	15.3804i	−0.692945	+	1.01636i	0.305004	+	0.952351i	$0.401342\pi$
$229$	−10.4862	+	15.3804i	−0.692945	+	1.01636i	−0.997949	+	0.0640123i	$0.979610\pi$
$230$	11.7761	+	17.9883i	0.776495	+	1.18611i
$231$	4.44749	+	3.62844i	0.292623	+	0.238734i
$232$	4.90439	−	3.47857i	0.321989	−	0.228379i
$233$	−9.37817	+	2.89278i	−0.614384	+	0.189512i	−0.586301	−	0.810093i	$-0.699417\pi$
$233$	−9.37817	+	2.89278i	−0.614384	+	0.189512i	−0.0280831	+	0.999606i	$0.508940\pi$
$234$	−2.41954	+	0.696908i	−0.158171	+	0.0455583i
$235$	−3.31982	−	0.248786i	−0.216561	−	0.0162290i
$236$	−9.52519	+	15.1554i	−0.620037	+	0.986531i
$237$	−13.9671	+	29.0030i	−0.907260	+	1.88394i
$238$	6.89303	+	12.8083i	0.446809	+	0.830237i
$239$	9.96381	+	20.6901i	0.644505	+	1.33833i	0.925547	+	0.378633i	$0.123606\pi$
$239$	9.96381	+	20.6901i	0.644505	+	1.33833i	−0.281042	+	0.959696i	$0.590680\pi$
$240$	−41.8594	−	12.9225i	−2.70201	−	0.834143i
$241$	4.93235	−	15.9903i	0.317721	−	1.03002i	−0.646051	−	0.763295i	$-0.723580\pi$
$241$	4.93235	−	15.9903i	0.317721	−	1.03002i	0.963771	−	0.266730i	$-0.0859433\pi$
$242$	13.0526	−	7.21294i	0.839053	−	0.463665i
$243$	−31.4364	−	4.73827i	−2.01665	−	0.303960i
$244$	1.30211	−	6.87746i	0.0833589	−	0.440284i
$245$	23.7232	+	2.30964i	1.51562	+	0.147557i
$246$	1.70546	−	18.1759i	0.108736	−	1.15885i
$247$	−0.128246	+	0.850855i	−0.00816009	+	0.0541386i
$248$	−1.65259	+	0.543485i	−0.104940	+	0.0345113i
$249$	−13.8928	−	4.28538i	−0.880423	−	0.271575i
$250$	7.67612	+	0.144002i	0.485480	+	0.00910750i
$251$	−16.3020	+	7.85061i	−1.02897	+	0.495526i	−0.870671	−	0.491865i	$-0.836315\pi$
$251$	−16.3020	+	7.85061i	−1.02897	+	0.495526i	−0.158299	+	0.987391i	$0.550601\pi$
$252$	−22.7283	−	31.5315i	−1.43175	−	1.98630i
$253$	−2.71323	−	1.30662i	−0.170579	−	0.0821465i
$254$	21.8863	+	11.0503i	1.37327	+	0.693356i
$255$	−3.18167	+	42.4564i	−0.199244	+	2.65872i
$256$	−5.85232	+	14.8913i	−0.365770	+	0.930705i
$257$	3.62939	+	11.7662i	0.226395	+	0.733955i	0.995494	+	0.0948249i	$0.0302291\pi$
$257$	3.62939	+	11.7662i	0.226395	+	0.733955i	−0.769099	+	0.639130i	$0.779295\pi$
$258$	−20.0088	−	19.2763i	−1.24569	−	1.20009i
$259$	0.922450	+	4.25942i	0.0573183	+	0.264668i
$260$	−0.771124	−	1.45945i	−0.0478231	−	0.0905110i
$261$	12.9021	+	8.79652i	0.798622	+	0.544491i
$262$	16.9760	+	18.9983i	1.04878	+	1.17372i
$263$	18.2754	+	10.5513i	1.12691	+	0.650621i	0.943156	−	0.332352i	$-0.107842\pi$
$263$	18.2754	+	10.5513i	1.12691	+	0.650621i	0.183753	+	0.982972i	$0.441175\pi$
$264$	5.95597	−	1.47601i	0.366565	−	0.0908424i
$265$	−27.8880	−	6.36525i	−1.71315	−	0.391014i
$266$	−13.0326	+	2.56750i	−0.799078	+	0.157424i
$267$	−9.35394	+	2.13498i	−0.572452	+	0.130658i
$268$	12.8449	+	20.4477i	0.784624	+	1.24904i
$269$	1.10135	+	7.30698i	0.0671505	+	0.445514i	0.996989	+	0.0775458i	$0.0247084\pi$
$269$	1.10135	+	7.30698i	0.0671505	+	0.445514i	−0.929838	+	0.367968i	$0.880053\pi$
$270$	−3.77008	−	67.2017i	−0.229440	−	4.08976i
$271$	−6.43200	+	5.96802i	−0.390716	+	0.362532i	−0.850932	−	0.525275i	$-0.823962\pi$
$271$	−6.43200	+	5.96802i	−0.390716	+	0.362532i	0.460216	+	0.887807i	$0.347772\pi$
$272$	15.3754	+	2.32109i	0.932269	+	0.140737i
$273$	0.330096	−	2.03607i	0.0199783	−	0.123228i
$274$	4.58890	−	13.9428i	0.277226	−	0.842316i
$275$	−3.85190	+	2.22389i	−0.232278	+	0.134106i
$276$	21.7681	+	18.7373i	1.31028	+	1.12785i
$277$	−1.60865	−	1.49261i	−0.0966543	−	0.0896821i	0.630366	−	0.776298i	$-0.282905\pi$
$277$	−1.60865	−	1.49261i	−0.0966543	−	0.0896821i	−0.727020	+	0.686616i	$0.759095\pi$
$278$	−4.46057	−	3.69616i	−0.267527	−	0.221681i
$279$	−2.81693	−	3.53232i	−0.168645	−	0.211474i
$280$	17.1928	−	18.8067i	1.02747	−	1.12391i
$281$	4.52931	−	5.67958i	0.270196	−	0.338815i	−0.628159	−	0.778085i	$-0.716191\pi$
$281$	4.52931	−	5.67958i	0.270196	−	0.338815i	0.898355	+	0.439270i	$0.144763\pi$
$282$	−4.35363	+	0.908125i	−0.259255	+	0.0540781i
$283$	2.74748	+	7.00048i	0.163321	+	0.416135i	0.988983	−	0.148030i	$-0.0472933\pi$
$283$	2.74748	+	7.00048i	0.163321	+	0.416135i	−0.825662	+	0.564165i	$0.809198\pi$
$284$	18.3340	+	4.91484i	1.08792	+	0.291642i
$285$	−36.1931	−	14.2047i	−2.14389	−	0.841416i
$286$	0.198021	+	0.119335i	0.0117093	+	0.00705643i
$287$	9.13608	+	5.41113i	0.539286	+	0.319409i
$288$	−41.5454	−	0.788961i	−2.44808	−	0.0464900i
$289$	0.141102	+	1.88287i	0.00830010	+	0.110757i
$290$	−3.91803	+	9.45742i	−0.230075	+	0.555359i
$291$	−0.916409	−	1.34412i	−0.0537208	−	0.0787940i
$292$	10.2275	−	29.2176i	0.598518	−	1.70983i
$293$		−	2.59792i		−	0.151772i	−0.997116	−	0.0758861i	$-0.975821\pi$
$293$		−	2.59792i		−	0.151772i	0.997116	−	0.0758861i	$-0.0241785\pi$
$294$	31.3073	−	5.80668i	1.82588	−	0.338653i
$295$		−	30.4754i		−	1.77435i
$296$	4.23441	+	1.94338i	0.246120	+	0.112957i
$297$	5.31071	+	7.78938i	0.308159	+	0.451986i
$298$	1.49882	+	0.620932i	0.0868242	+	0.0359696i
$299$	0.0808720	+	1.07916i	0.00467695	+	0.0624095i
$300$	40.9766	−	10.9746i	2.36578	−	0.633618i
$301$	15.1078	−	5.73622i	0.870799	−	0.330630i
$302$	−11.8687	+	19.6945i	−0.682964	+	1.13329i
$303$	−43.9043	−	17.2312i	−2.52224	−	0.989905i
$304$	−6.16418	+	12.7925i	−0.353540	+	0.733701i
$305$	4.35379	+	11.0933i	0.249297	+	0.635199i
$306$	8.24605	+	39.5322i	0.471395	+	2.25991i
$307$	17.9504	−	22.5091i	1.02448	−	1.28466i	0.0665162	−	0.997785i	$-0.478812\pi$
$307$	17.9504	−	22.5091i	1.02448	−	1.28466i	0.957968	−	0.286877i	$-0.0926170\pi$
$308$	−0.702906	+	3.49914i	−0.0400518	+	0.199382i
$309$	15.8072	+	19.8216i	0.899239	+	1.12761i
$310$	1.88977	−	2.28060i	0.107332	−	0.129529i
$311$	−10.2240	−	9.48651i	−0.579751	−	0.537931i	0.334858	−	0.942268i	$-0.391311\pi$
$311$	−10.2240	−	9.48651i	−0.579751	−	0.537931i	−0.914610	+	0.404338i	$0.867502\pi$
$312$	−1.52952	−	1.58837i	−0.0865917	−	0.0899235i
$313$	−1.22219	+	0.705631i	−0.0690822	+	0.0398846i	−0.534143	−	0.845394i	$-0.679366\pi$
$313$	−1.22219	+	0.705631i	−0.0690822	+	0.0398846i	0.465061	+	0.885279i	$0.346032\pi$
$314$	13.5741	+	4.46754i	0.766028	+	0.252118i
$315$	61.3283	+	24.8605i	3.45546	+	1.40073i
$316$	−20.0025	+	0.746130i	−1.12523	+	0.0419731i
$317$	20.7844	−	19.2851i	1.16737	−	1.08316i	0.172189	−	0.985064i	$-0.444916\pi$
$317$	20.7844	−	19.2851i	1.16737	−	1.08316i	0.995177	−	0.0980937i	$-0.0312745\pi$
$318$	−38.1533	+	2.14044i	−2.13953	+	0.120030i
$319$	−0.213704	−	1.41783i	−0.0119651	−	0.0793834i
$320$	−5.05505	−	26.7672i	−0.282586	−	1.49633i
$321$	38.1667	−	8.71131i	2.13026	−	0.486218i
$322$	−15.2613	+	6.79541i	−0.850476	+	0.378693i
$323$	13.4544	+	3.07089i	0.748625	+	0.170869i
$324$	−15.1355	−	43.2708i	−0.840861	−	2.40393i
$325$	1.38421	+	0.799173i	0.0767820	+	0.0443301i
$326$	13.7731	−	12.3070i	0.762824	−	0.681622i
$327$	21.4880	+	14.6503i	1.18829	+	0.810162i
$328$	10.4881	−	4.34220i	0.579109	−	0.239758i
$329$	0.603631	−	2.51534i	0.0332793	−	0.138675i
$330$	−7.24810	+	7.52351i	−0.398995	+	0.414156i
$331$	−0.760439	−	2.46528i	−0.0417975	−	0.135504i	0.932269	−	0.361765i	$-0.117826\pi$
$331$	−0.760439	−	2.46528i	−0.0417975	−	0.135504i	−0.974067	+	0.226261i	$0.927350\pi$
$332$	−1.67966	−	8.88283i	−0.0921835	−	0.487509i
$333$	−0.904224	+	12.0660i	−0.0495512	+	0.661214i
$334$	−11.6743	+	23.1222i	−0.638790	+	1.26519i
$335$	−37.0402	−	17.8376i	−2.02372	−	0.974574i
$336$	15.1166	−	30.4990i	0.824680	−	1.66386i
$337$	−13.1567	+	6.33592i	−0.716690	+	0.345140i	−0.756434	−	0.654070i	$-0.773060\pi$
$337$	−13.1567	+	6.33592i	−0.716690	+	0.345140i	0.0397439	+	0.999210i	$0.487346\pi$
$338$	−0.343275	+	18.2985i	−0.0186717	+	0.995306i
$339$	−14.5743	−	4.49557i	−0.791567	−	0.244166i
$340$	−24.2659	+	10.5838i	−1.31600	+	0.573985i
$341$	−0.0618306	+	0.410219i	−0.00334831	+	0.0222146i
$342$	−36.7174	−	3.44524i	−1.98545	−	0.186297i
$343$	−4.72142	+	17.9083i	−0.254932	+	0.966959i
$344$	4.78545	−	16.5999i	0.258014	−	0.895006i
$345$	−48.3532	−	7.28807i	−2.60325	−	0.392377i
$346$	−3.29445	−	5.96166i	−0.177111	−	0.320501i
$347$	4.61601	−	14.9647i	0.247800	−	0.803349i	−0.743151	−	0.669124i	$-0.766669\pi$
$347$	4.61601	−	14.9647i	0.247800	−	0.803349i	0.990951	−	0.134225i	$-0.0428544\pi$
$348$	−1.53272	+	13.5891i	−0.0821622	+	0.728455i
$349$	−8.96500	−	18.6160i	−0.479886	−	0.996493i	−0.990606	−	0.136746i	$-0.956336\pi$
$349$	−8.96500	−	18.6160i	−0.479886	−	0.996493i	0.510720	−	0.859747i	$-0.329379\pi$
$350$	−4.40479	+	24.2774i	−0.235446	+	1.29768i
$351$	1.46993	−	3.05235i	0.0784592	−	0.162922i
$352$	2.54161	+	2.84571i	0.135468	+	0.151677i
$353$	21.0334	+	1.57623i	1.11949	+	0.0838945i	0.621594	−	0.783340i	$-0.286485\pi$
$353$	21.0334	+	1.57623i	1.11949	+	0.0838945i	0.497901	+	0.867234i	$0.334104\pi$
$354$	−11.2682	−	39.1212i	−0.598896	−	2.07927i
$355$	−30.8804	+	9.52535i	−1.63896	+	0.505553i
$356$	−3.89095	−	4.52242i	−0.206220	−	0.239688i
$357$	−32.1682	−	7.71970i	−1.70252	−	0.408570i
$358$	14.3218	−	9.37582i	0.756928	−	0.495527i
$359$	8.83558	−	12.9594i	0.466324	−	0.683972i	−0.518979	−	0.854787i	$-0.673688\pi$
$359$	8.83558	−	12.9594i	0.466324	−	0.683972i	0.985303	+	0.170815i	$0.0546401\pi$
$360$	60.6009	−	36.5013i	3.19395	−	1.92379i
$361$	3.19858	−	5.54010i	0.168346	−	0.291584i
$362$	5.31299	−	2.43692i	0.279245	−	0.128081i
$363$	−7.54740	+	33.0673i	−0.396136	+	1.73559i
$364$	1.21527	−	0.409968i	0.0636977	−	0.0214882i
$365$	11.7276	+	51.3819i	0.613849	+	2.68945i
$366$	9.69064	+	12.6306i	0.506538	+	0.660212i
$367$	−8.49467	+	1.28037i	−0.443418	+	0.0668345i	−0.366957	−	0.930238i	$-0.619600\pi$
$367$	−8.49467	+	1.28037i	−0.443418	+	0.0668345i	−0.0764614	+	0.997073i	$0.524362\pi$
$368$	−3.97807	+	17.4106i	−0.207371	+	0.907588i
$369$	20.0517	+	21.6106i	1.04385	+	1.12500i
$370$	−7.86438	+	1.03490i	−0.408850	+	0.0538021i
$371$	8.34994	−	20.5984i	0.433507	−	1.06942i
$372$	1.58265	−	3.62634i	0.0820567	−	0.188017i
$373$	−2.89284	−	5.01055i	−0.149786	−	0.259436i	0.781363	−	0.624077i	$-0.214525\pi$
$373$	−2.89284	−	5.01055i	−0.149786	−	0.259436i	−0.931148	+	0.364641i	$0.881192\pi$
$374$	2.14592	−	3.02403i	0.110963	−	0.156369i
$375$	−11.8768	+	12.8001i	−0.613315	+	0.660997i
$376$	−1.76393	−	2.12973i	−0.0909680	−	0.109833i
$377$	−0.402849	+	0.321262i	−0.0207478	+	0.0165458i
$378$	52.0121	+	5.46479i	2.67521	+	0.281078i
$379$	−11.5739	−	9.22988i	−0.594511	−	0.474107i	0.279412	−	0.960171i	$-0.409861\pi$
$379$	−11.5739	−	9.22988i	−0.594511	−	0.474107i	−0.873923	+	0.486064i	$0.838432\pi$
$380$	−2.70410	−	24.0245i	−0.138717	−	1.23243i
$381$	−51.9078	+	20.3723i	−2.65932	+	1.04370i
$382$	−17.5149	−	2.97694i	−0.896139	−	0.152313i
$383$	5.98495	−	15.2494i	0.305817	−	0.779208i	−0.692511	−	0.721407i	$-0.743496\pi$
$383$	5.98495	−	15.2494i	0.305817	−	0.779208i	0.998328	−	0.0578014i	$-0.0184090\pi$
$384$	−16.3862	−	32.4919i	−0.836207	−	1.65810i
$385$	−2.15688	−	5.68069i	−0.109925	−	0.289515i
$386$	21.4270	−	7.94899i	1.09061	−	0.404593i
$387$	44.7410	−	3.35287i	2.27431	−	0.170436i
$388$	0.472768	−	0.894271i	0.0240012	−	0.0453997i
$389$	19.7701	−	13.4790i	1.00238	−	0.683414i	0.0533458	−	0.998576i	$-0.483011\pi$
$389$	19.7701	−	13.4790i	1.00238	−	0.683414i	0.949038	+	0.315163i	$0.102059\pi$
$390$	3.64374	+	0.903886i	0.184508	+	0.0457700i
$391$	17.3565			0.877755
$392$	12.2867	+	15.5254i	0.620573	+	0.784149i
$393$	−57.9461			−2.92299
$394$	16.9119	+	4.19525i	0.852007	+	0.211353i
$395$	28.1568	−	19.1970i	1.41672	−	0.965906i
$396$	−4.63116	+	8.76015i	−0.232725	+	0.440214i
$397$	−7.90535	+	0.592424i	−0.396758	+	0.0297329i	−0.271615	−	0.962406i	$-0.587558\pi$
$397$	−7.90535	+	0.592424i	−0.396758	+	0.0297329i	−0.125143	+	0.992139i	$0.539939\pi$
$398$	−30.7953	+	11.4244i	−1.54363	+	0.572655i
$399$	15.3955	−	25.9935i	0.770739	−	1.30130i
$400$	17.9367	+	19.3401i	0.896835	+	0.967005i
$401$	−9.10970	+	23.2111i	−0.454917	+	1.15911i	0.500994	+	0.865451i	$0.332968\pi$
$401$	−9.10970	+	23.2111i	−0.454917	+	1.15911i	−0.955911	+	0.293658i	$0.905127\pi$
$402$	−54.1439	−	9.20262i	−2.70045	−	0.458985i
$403$	0.138775	−	0.0544652i	0.00691287	−	0.00271310i
$404$	−3.28024	−	29.1431i	−0.163198	−	1.44992i
$405$	61.0190	+	48.6610i	3.03206	+	2.41798i
$406$	−6.76659	−	4.18112i	−0.335820	−	0.207506i
$407$	0.868642	−	0.692719i	0.0430570	−	0.0343368i
$408$	−27.2367	+	22.5586i	−1.34842	+	1.11681i
$409$	−15.2989	+	16.4883i	−0.756484	+	0.815296i	−0.987494	−	0.157656i	$-0.949606\pi$
$409$	−15.2989	+	16.4883i	−0.756484	+	0.815296i	0.231010	+	0.972951i	$0.425797\pi$
$410$	−11.1844	+	15.7610i	−0.552356	+	0.778378i
$411$	16.6923	+	28.9119i	0.823369	+	1.42612i
$412$	−6.30573	+	14.4483i	−0.310661	+	0.711818i
$413$	23.3744	+	3.78956i	1.15018	+	0.186472i
$414$	−45.9849	+	6.05134i	−2.26004	+	0.297407i
$415$	10.4687	+	11.2826i	0.513888	+	0.553839i
$416$	0.428948	−	1.30229i	0.0210309	−	0.0638501i
$417$	13.0282	−	1.96369i	0.637994	−	0.0961621i
$418$	2.06128	+	2.68663i	0.100820	+	0.131407i
$419$	4.61900	+	20.2371i	0.225653	+	0.988649i	0.953140	+	0.302528i	$0.0978307\pi$
$419$	4.61900	+	20.2371i	0.225653	+	0.988649i	−0.727488	+	0.686121i	$0.759312\pi$
$420$	5.84095	+	57.6584i	0.285009	+	2.81344i
$421$	−6.58946	+	28.8703i	−0.321151	+	1.40705i	0.514358	+	0.857576i	$0.328030\pi$
$421$	−6.58946	+	28.8703i	−0.321151	+	1.40705i	−0.835509	+	0.549478i	$0.814827\pi$
$422$	3.47692	−	1.59476i	0.169254	−	0.0776319i
$423$	3.59090	−	6.21962i	0.174595	−	0.302408i
$424$	−12.2597	−	20.3541i	−0.595386	−	0.988482i
$425$	14.4406	−	21.1805i	0.700472	−	1.02740i
$426$	−36.1191	+	23.6456i	−1.74998	+	1.14563i
$427$	−9.04986	+	1.95990i	−0.437953	+	0.0948462i
$428$	15.8762	+	18.4528i	0.767404	+	0.891948i
$429$	−0.502474	+	0.154993i	−0.0242597	+	0.00748312i
$430$	8.14083	+	28.2636i	0.392586	+	1.36299i
$431$	−27.1012	−	2.03095i	−1.30542	−	0.0978276i	−0.596211	−	0.802828i	$-0.703328\pi$
$431$	−27.1012	−	2.03095i	−1.30542	−	0.0978276i	−0.709207	+	0.705000i	$0.750947\pi$
$432$	38.0375	−	40.9757i	1.83008	−	1.97144i
$433$	9.84387	−	20.4410i	0.473066	−	0.982332i	−0.518782	−	0.854906i	$-0.673614\pi$
$433$	9.84387	−	20.4410i	0.473066	−	0.982332i	0.991848	−	0.127425i	$-0.0406713\pi$
$434$	1.51422	+	1.73303i	0.0726848	+	0.0831883i
$435$	−10.1019	−	20.9768i	−0.484350	−	1.00576i
$436$	−1.81246	+	16.0693i	−0.0868009	+	0.769582i
$437$	−4.67196	+	15.1461i	−0.223490	+	0.724537i
$438$	34.0529	+	61.6225i	1.62711	+	2.94444i
$439$	19.7412	+	2.97550i	0.942194	+	0.142013i	0.602138	−	0.798392i	$-0.294316\pi$
$439$	19.7412	+	2.97550i	0.942194	+	0.142013i	0.340056	+	0.940405i	$0.389554\pi$
$440$	−6.24174	−	1.79938i	−0.297563	−	0.0857822i
$441$	−26.6940	+	43.9471i	−1.27114	+	2.09272i
$442$	−1.32669	−	0.124485i	−0.0631043	−	0.00592116i
$443$	−0.259669	+	1.72279i	−0.0123373	+	0.0818524i	−0.994152	−	0.107988i	$-0.965559\pi$
$443$	−0.259669	+	1.72279i	−0.0123373	+	0.0818524i	0.981815	+	0.189841i	$0.0607972\pi$
$444$	−9.71283	+	4.23633i	−0.460951	+	0.201047i
$445$	9.70581	+	2.99385i	0.460099	+	0.141922i
$446$	0.619553	−	33.0256i	0.0293367	−	1.56381i
$447$	−3.32442	+	1.60096i	−0.157240	+	0.0757227i
$448$	21.1589	−	0.548732i	0.999664	−	0.0259251i
$449$	18.4174	+	8.86936i	0.869172	+	0.418571i	0.814658	−	0.579942i	$-0.196925\pi$
$449$	18.4174	+	8.86936i	0.869172	+	0.418571i	0.0545141	+	0.998513i	$0.482639\pi$
$450$	−30.8749	+	61.1510i	−1.45546	+	2.88269i
$451$	0.202290	−	2.69937i	0.00952547	−	0.127109i
$452$	−1.76205	−	9.31854i	−0.0828799	−	0.438307i
$453$	−15.4150	−	49.9743i	−0.724261	−	2.34800i
$454$	12.3441	−	12.8132i	0.579339	−	0.601353i
$455$	−1.38036	+	1.69195i	−0.0647121	+	0.0793197i
$456$	−12.3542	−	29.8403i	−0.578539	−	1.39740i
$457$	5.45707	+	3.72057i	0.255271	+	0.174041i	0.684194	−	0.729300i	$-0.260154\pi$
$457$	5.45707	+	3.72057i	0.255271	+	0.174041i	−0.428923	+	0.903341i	$0.641107\pi$
$458$	19.6304	−	17.5408i	0.917268	−	0.819626i
$459$	−47.0559	−	27.1677i	−2.19638	−	1.26808i
$460$	−10.0391	−	28.7007i	−0.468075	−	1.33817i
$461$	−6.93792	−	1.58353i	−0.323131	−	0.0737525i	0.0578786	−	0.998324i	$-0.481566\pi$
$461$	−6.93792	−	1.58353i	−0.323131	−	0.0737525i	−0.381010	+	0.924571i	$0.624424\pi$
$462$	−4.86920	−	6.49479i	−0.226536	−	0.302165i
$463$	6.15740	−	1.40539i	0.286159	−	0.0653138i	−0.0770323	−	0.997029i	$-0.524544\pi$
$463$	6.15740	−	1.40539i	0.286159	−	0.0653138i	0.363191	+	0.931715i	$0.381687\pi$
$464$	−7.91626	+	3.10480i	−0.367503	+	0.144137i
$465$	1.00399	+	6.66105i	0.0465590	+	0.308899i
$466$	13.8576	−	0.777423i	0.641939	−	0.0360134i
$467$	−16.4013	+	15.2182i	−0.758960	+	0.704212i	−0.961422	−	0.275078i	$-0.911296\pi$
$467$	−16.4013	+	15.2182i	−0.758960	+	0.704212i	0.202462	+	0.979290i	$0.435106\pi$
$468$	3.55839	−	0.132735i	0.164487	−	0.00613567i
$469$	18.2873	−	26.1916i	0.844427	−	1.20941i
$470$	4.47211	+	1.47188i	0.206283	+	0.0678925i
$471$	−28.1472	+	16.2508i	−1.29696	+	0.748798i
$472$	18.2347	−	17.5591i	0.839322	−	0.808225i
$473$	−3.01998	−	2.80213i	−0.138859	−	0.128842i
$474$	29.0468	−	35.0540i	1.33416	−	1.61008i
$475$	14.5960	+	18.3028i	0.669712	+	0.839792i
$476$	−5.10026	−	19.9278i	−0.233770	−	0.913391i
$477$	38.4748	−	48.2459i	1.76164	−	2.20903i
$478$	−6.63152	−	31.7921i	−0.303319	−	1.45414i
$479$	13.6669	+	34.8228i	0.624458	+	1.59109i	0.795584	+	0.605844i	$0.207164\pi$
$479$	13.6669	+	34.8228i	0.624458	+	1.59109i	−0.171126	+	0.985249i	$0.554740\pi$
$480$	53.0566	+	31.9906i	2.42169	+	1.46016i
$481$	−0.371659	−	0.145866i	−0.0169462	−	0.00665090i
$482$	−12.2149	+	20.2690i	−0.556371	+	0.923227i
$483$	11.6026	−	36.1804i	0.527935	−	1.64626i
$484$	−20.3721	+	5.45618i	−0.926006	+	0.248008i
$485$	0.128699	+	1.71737i	0.00584392	+	0.0779817i
$486$	41.5366	+	17.2078i	1.88414	+	0.780563i
$487$	3.95563	+	5.80184i	0.179247	+	0.262907i	0.905338	−	0.424692i	$-0.139617\pi$
$487$	3.95563	+	5.80184i	0.179247	+	0.262907i	−0.726091	+	0.687598i	$0.758665\pi$
$488$	−4.12904	+	8.99672i	−0.186913	+	0.407262i
$489$			42.0090i			1.89971i
$490$	−31.7762	−	11.2479i	−1.43550	−	0.508129i
$491$			26.0674i			1.17641i	0.808713	+	0.588204i	$0.200165\pi$
$491$			26.0674i			1.17641i	−0.808713	+	0.588204i	$0.799835\pi$
$492$	−8.52977	+	24.3677i	−0.384552	+	1.09858i
$493$	4.65526	+	6.82801i	0.209662	+	0.307518i
$494$	0.465746	−	1.12423i	0.0209549	−	0.0505813i
$495$	−1.26072	−	16.8231i	−0.0566650	−	0.756142i
$496$	2.45342	−	0.183290i	0.110162	−	0.00822996i
$497$	−3.46596	−	24.8696i	−0.155469	−	1.11555i
$498$	17.6103	+	10.6126i	0.789137	+	0.475563i
$499$	27.3332	+	10.7275i	1.22360	+	0.480229i	0.887155	−	0.461472i	$-0.152679\pi$
$499$	27.3332	+	10.7275i	1.22360	+	0.480229i	0.336449	+	0.941702i	$0.390774\pi$
$500$	−10.4873	−	2.81136i	−0.469006	−	0.125728i
$501$	−21.5228	−	54.8392i	−0.961567	−	2.45003i
$502$	25.0494	−	5.22506i	1.11801	−	0.233206i
$503$	−5.83192	+	7.31299i	−0.260032	+	0.326070i	−0.894660	−	0.446748i	$-0.852582\pi$
$503$	−5.83192	+	7.31299i	−0.260032	+	0.326070i	0.634628	+	0.772818i	$0.281154\pi$
$504$	20.4607	+	51.0194i	0.911391	+	2.27258i
$505$	31.1309	+	39.0369i	1.38531	+	1.73712i
$506$	3.27930	+	2.71733i	0.145783	+	0.120800i
$507$	−30.5132	−	28.3121i	−1.35514	−	1.25739i
$508$	−26.2787	−	22.6199i	−1.16593	−	1.00360i
$509$	−38.1814	+	22.0440i	−1.69236	+	0.977084i	−0.739754	+	0.672878i	$0.765058\pi$
$509$	−38.1814	+	22.0440i	−1.69236	+	0.977084i	−0.952606	+	0.304206i	$0.901609\pi$
$510$	18.8235	−	57.1928i	0.833518	−	2.53254i
$511$	−40.8679	+	2.60573i	−1.80789	+	0.115271i
$512$	13.1034	−	18.4472i	0.579094	−	0.815261i
$513$	36.3742	−	33.7503i	1.60596	−	1.49011i
$514$	−0.975383	−	17.3862i	−0.0430223	−	0.766872i
$515$	−4.00019	−	26.5395i	−0.176269	−	1.16947i
$516$	20.9007	+	33.2718i	0.920103	+	1.46471i
$517$	−0.642914	+	0.146741i	−0.0282753	+	0.00645366i
$518$	0.184157	−	6.16063i	0.00809140	−	0.270682i
$519$	15.1032	+	3.44721i	0.662958	+	0.151316i
$520$	0.561516	+	2.26582i	0.0246241	+	0.0993626i
$521$	−35.7636	−	20.6481i	−1.56683	−	0.904610i	−0.996535	−	0.0831704i	$-0.973495\pi$
$521$	−35.7636	−	20.6481i	−1.56683	−	0.904610i	−0.570295	−	0.821440i	$-0.693171\pi$
$522$	−14.7144	−	16.4673i	−0.644032	−	0.720756i
$523$	−7.51544	−	5.12394i	−0.328627	−	0.224054i	0.387755	−	0.921763i	$-0.373251\pi$
$523$	−7.51544	−	5.12394i	−0.328627	−	0.224054i	−0.716382	+	0.697708i	$0.754203\pi$
$524$	−16.8325	−	31.8576i	−0.735332	−	1.39170i
$525$	−34.4983	−	44.2609i	−1.50563	−	1.93170i
$526$	−21.4923	−	20.7056i	−0.937109	−	0.902805i
$527$	−0.704760	−	2.28477i	−0.0306998	−	0.0995263i
$528$	−8.67781	−	0.00200024i	−0.377653	−	8.70493e-5i
$529$	0.229083	−	3.05690i	0.00996012	−	0.132909i
$530$	36.1120	+	18.2328i	1.56861	+	0.791982i
$531$	59.2327	+	28.5250i	2.57048	+	1.23788i
$532$	18.7629	+	0.913371i	0.813474	+	0.0395996i
$533$	−0.876426	+	0.422065i	−0.0379622	+	0.0182816i
$534$	13.5663	+	0.254500i	0.587070	+	0.0110133i
$535$	−39.6025	−	12.2157i	−1.71216	−	0.528132i
$536$	−10.6686	−	32.4404i	−0.460813	−	1.40121i
$537$	−5.80256	+	38.4975i	−0.250399	+	1.66129i
$538$	0.976282	−	10.4046i	0.0420905	−	0.448576i
$539$	4.62526	−	0.947932i	0.199224	−	0.0408303i
$540$	−17.7071	+	93.5255i	−0.761994	+	4.02470i
$541$	−2.85749	−	0.430697i	−0.122853	−	0.0185171i	0.0873279	−	0.996180i	$-0.472167\pi$
$541$	−2.85749	−	0.430697i	−0.122853	−	0.0185171i	−0.210181	+	0.977663i	$0.567405\pi$
$542$	10.8607	−	6.00170i	0.466508	−	0.257795i
$543$	−3.91854	+	12.7036i	−0.168160	+	0.545163i
$544$	−20.3141	−	8.42123i	−0.870959	−	0.361057i
$545$	−11.9456	−	24.8054i	−0.511695	−	1.06255i
$546$	−1.14637	+	2.68233i	−0.0490600	+	0.114793i
$547$	5.81744	−	12.0800i	0.248736	−	0.516505i	−0.738795	−	0.673930i	$-0.764605\pi$
$547$	5.81744	−	12.0800i	0.248736	−	0.516505i	0.987531	+	0.157425i	$0.0503193\pi$
$548$	−11.0463	+	17.5755i	−0.471873	+	0.750790i
$549$	−25.6363	−	1.92118i	−1.09413	−	0.0819938i
$550$	6.04439	−	1.74098i	0.257734	−	0.0742357i
$551$	−7.21154	+	2.22447i	−0.307222	+	0.0947654i
$552$	−23.4991	−	33.1310i	−1.00019	−	1.41015i
$553$	11.2227	+	23.9832i	0.477239	+	1.01987i
$554$	1.69982	+	2.59651i	0.0722184	+	0.110315i
$555$	10.1627	−	14.9060i	0.431384	−	0.632724i
$556$	4.86410	+	6.59221i	0.206284	+	0.279572i
$557$	−2.16595	+	3.75154i	−0.0917743	+	0.158958i	−0.908258	−	0.418411i	$-0.862587\pi$
$557$	−2.16595	+	3.75154i	−0.0917743	+	0.158958i	0.816483	+	0.577369i	$0.195920\pi$
$558$	2.66380	+	5.80765i	0.112768	+	0.245858i
$559$	−0.329432	+	1.44334i	−0.0139335	+	0.0610467i
$560$	−30.0026	+	19.9602i	−1.26784	+	0.843470i
$561$	1.87664	+	8.22208i	0.0792316	+	0.347136i
$562$	−8.15087	+	6.25363i	−0.343824	+	0.263794i
$563$	9.00456	−	1.35722i	0.379497	−	0.0571999i	0.0434759	−	0.999054i	$-0.486157\pi$
$563$	9.00456	−	1.35722i	0.379497	−	0.0571999i	0.336021	+	0.941855i	$0.390919\pi$
$564$	6.28505	+	0.235895i	0.264648	+	0.00993299i
$565$	10.9822	+	11.8360i	0.462024	+	0.497943i
$566$	−1.38758	−	10.5444i	−0.0583245	−	0.443216i
$567$	−44.9103	+	40.7503i	−1.88606	+	1.71135i
$568$	−23.4919	−	12.9888i	−0.985700	−	0.544999i
$569$	−3.77595	−	6.54014i	−0.158296	−	0.274177i	0.775958	−	0.630784i	$-0.217267\pi$
$569$	−3.77595	−	6.54014i	−0.158296	−	0.274177i	−0.934254	+	0.356607i	$0.883933\pi$
$570$	44.8423	+	31.8212i	1.87824	+	1.33284i
$571$	−12.9183	+	13.9226i	−0.540612	+	0.582642i	−0.942985	−	0.332834i	$-0.891995\pi$
$571$	−12.9183	+	13.9226i	−0.540612	+	0.582642i	0.402373	+	0.915476i	$0.368185\pi$
$572$	−0.231173	−	0.231227i	−0.00966584	−	0.00966807i
$573$	31.5912	−	25.1932i	1.31974	−	1.05246i
$574$	−10.6978	−	10.5382i	−0.446518	−	0.439856i
$575$	23.0190	+	18.3571i	0.959961	+	0.765543i
$576$	56.7570	+	15.2290i	2.36487	+	0.634543i
$577$	31.7395	−	12.4568i	1.32133	−	0.518584i	0.403291	−	0.915072i	$-0.367866\pi$
$577$	31.7395	−	12.4568i	1.32133	−	0.518584i	0.918040	+	0.396488i	$0.129771\pi$
$578$	0.447435	−	2.63250i	0.0186108	−	0.109497i
$579$	−18.9899	+	48.3854i	−0.789192	+	2.01083i
$580$	8.59816	−	11.6473i	0.357019	−	0.483627i
$581$	−9.95543	+	6.62646i	−0.413021	+	0.274912i
$582$	0.800202	+	2.15700i	0.0331694	+	0.0894103i
$583$	−5.65039	+	0.423438i	−0.234015	+	0.0175370i
$584$	−23.9869	+	36.6220i	−0.992584	+	1.51543i
$585$	−5.00903	+	3.41510i	−0.207098	+	0.141197i
$586$	−0.884586	+	3.56594i	−0.0365419	+	0.147308i
$587$	−34.7419			−1.43395			−0.716976	−	0.697097i	$-0.754475\pi$
$587$	−34.7419			−1.43395			−0.716976	+	0.697097i	$0.754475\pi$
$588$	−44.9499	−	2.68975i	−1.85370	−	0.110923i
$589$	2.18351			0.0899699
$590$	−10.3768	+	41.8308i	−0.427206	+	1.72215i
$591$	−32.7436	+	22.3242i	−1.34689	+	0.918295i
$592$	−5.15048	−	4.10932i	−0.211684	−	0.168892i
$593$	−40.2243	+	3.01439i	−1.65181	+	0.123786i	−0.867785	−	0.496940i	$-0.834457\pi$
$593$	−40.2243	+	3.01439i	−1.65181	+	0.123786i	−0.784028	+	0.620726i	$0.786838\pi$
$594$	−4.63728	−	12.5001i	−0.190270	−	0.512884i
$595$	25.4057	+	24.1046i	1.04153	+	0.988192i
$596$	−1.84587	−	1.36264i	−0.0756097	−	0.0558160i
$597$	27.2926	−	69.5404i	1.11701	−	2.84610i
$598$	0.256446	−	1.50881i	0.0104869	−	0.0616997i
$599$	−2.74086	+	1.07571i	−0.111989	+	0.0439523i	−0.420674	−	0.907212i	$-0.638206\pi$
$599$	−2.74086	+	1.07571i	−0.111989	+	0.0439523i	0.308685	+	0.951164i	$0.400111\pi$
$600$	−59.9817	+	1.11141i	−2.44874	+	0.0453733i
$601$	33.1516	+	26.4375i	1.35228	+	1.07841i	0.989188	+	0.146654i	$0.0468505\pi$
$601$	33.1516	+	26.4375i	1.35228	+	1.07841i	0.363092	+	0.931753i	$0.381721\pi$
$602$	−22.6903	+	2.72944i	−0.924787	+	0.111244i
$603$	69.3394	−	55.2963i	2.82372	−	2.25184i
$604$	22.9970	−	22.9917i	0.935734	−	0.935518i
$605$	24.4226	−	26.3213i	0.992919	−	1.07011i
$606$	54.3964	+	38.6010i	2.20970	+	1.56806i
$607$	−5.09246	−	8.82041i	−0.206697	−	0.358009i	0.743975	−	0.668207i	$-0.232938\pi$
$607$	−5.09246	−	8.82041i	−0.206697	−	0.358009i	−0.950672	+	0.310198i	$0.899605\pi$
$608$	12.8168	−	15.4603i	0.519792	−	0.626996i
$609$	17.3453	−	5.13967i	0.702866	−	0.208270i
$610$	−2.19883	−	16.7092i	−0.0890279	−	0.676536i
$611$	0.161185	+	0.173717i	0.00652087	+	0.00702782i
$612$	2.14200	−	57.0701i	0.0865852	−	2.30692i
$613$	33.8717	−	5.10533i	1.36806	−	0.206202i	0.576404	−	0.817165i	$-0.304456\pi$
$613$	33.8717	−	5.10533i	1.36806	−	0.206202i	0.791659	+	0.610963i	$0.209217\pi$
$614$	−32.3032	+	24.7842i	−1.30365	+	1.00021i
$615$	−9.78086	−	42.8528i	−0.394402	−	1.72799i
$616$	2.15627	−	4.56363i	0.0868784	−	0.183874i
$617$	7.91803	−	34.6911i	0.318768	−	1.39661i	−0.520949	−	0.853588i	$-0.674422\pi$
$617$	7.91803	−	34.6911i	0.318768	−	1.39661i	0.839717	−	0.543025i	$-0.182721\pi$
$618$	−14.9479	−	32.5896i	−0.601293	−	1.31095i
$619$	−2.02047	+	3.49955i	−0.0812094	+	0.140659i	−0.903770	−	0.428019i	$-0.859212\pi$
$619$	−2.02047	+	3.49955i	−0.0812094	+	0.140659i	0.822560	+	0.568678i	$0.192545\pi$
$620$	−3.37046	+	2.48691i	−0.135361	+	0.0998769i
$621$	35.1546	−	51.5624i	1.41071	−	2.06913i
$622$	10.8035	+	16.5025i	0.433180	+	0.661692i
$623$	−3.50316	+	7.07202i	−0.140351	+	0.283335i
$624$	1.55860	+	2.70100i	0.0623938	+	0.108127i
$625$	−13.8428	+	4.26994i	−0.553713	+	0.170798i
$626$	1.91786	−	0.552405i	0.0766530	−	0.0220786i
$627$	−7.68013	−	0.575546i	−0.306715	−	0.0229851i
$628$	−17.1107	−	10.7541i	−0.682792	−	0.429136i
$629$	−2.77835	+	5.76930i	−0.110780	+	0.230037i
$630$	−75.7150	−	55.0060i	−3.01656	−	2.19149i
$631$	−18.8953	−	39.2365i	−0.752211	−	1.56198i	−0.825325	−	0.564658i	$-0.809008\pi$
$631$	−18.8953	−	39.2365i	−0.752211	−	1.56198i	0.0731142	−	0.997324i	$-0.476706\pi$
$632$	27.7096	+	5.78664i	1.10223	+	0.230180i
$633$	−2.56436	+	8.31346i	−0.101924	+	0.330430i
$634$	−35.0954	+	19.3939i	−1.39382	+	0.770230i
$635$	58.3726	+	8.79826i	2.31645	+	0.349148i
$636$	53.0984	+	10.0531i	2.10549	+	0.398631i
$637$	−1.12607	−	1.26912i	−0.0446165	−	0.0502843i
$638$	−0.189436	+	2.01890i	−0.00749984	+	0.0799290i
$639$	10.3904	−	68.9357i	0.411037	−	2.72705i
$640$	−2.17556	+	38.4622i	−0.0859964	+	1.52035i
$641$	−11.9146	−	3.67517i	−0.470599	−	0.145161i	0.0503798	−	0.998730i	$-0.483957\pi$
$641$	−11.9146	−	3.67517i	−0.470599	−	0.145161i	−0.520979	+	0.853570i	$0.674433\pi$
$642$	−55.3543	−	1.03843i	−2.18466	−	0.0409837i
$643$	44.4264	−	21.3946i	1.75201	−	0.843722i	0.774572	−	0.632485i	$-0.217965\pi$
$643$	44.4264	−	21.3946i	1.75201	−	0.843722i	0.977435	−	0.211237i	$-0.0677492\pi$
$644$	23.2616	−	4.13104i	0.916635	−	0.162786i
$645$	−60.2706	−	29.0248i	−2.37315	−	1.14285i
$646$	−17.4221	−	8.79634i	−0.685463	−	0.346087i
$647$	1.34799	−	17.9877i	0.0529950	−	0.707169i	−0.905915	−	0.423459i	$-0.860816\pi$
$647$	1.34799	−	17.9877i	0.0529950	−	0.707169i	0.958910	−	0.283710i	$-0.0915653\pi$
$648$	6.04157	+	64.5475i	0.237335	+	2.53567i
$649$	−1.77935	−	5.76850i	−0.0698455	−	0.226433i
$650$	−1.62786	−	1.56827i	−0.0638500	−	0.0615127i
$651$	−5.23384	−	0.0582347i	−0.205130	−	0.00228240i
$652$	−23.0957	+	12.2030i	−0.904497	+	0.477907i
$653$	−28.3565	−	19.3331i	−1.10968	−	0.756565i	−0.137427	−	0.990512i	$-0.543883\pi$
$653$	−28.3565	−	19.3331i	−1.10968	−	0.756565i	−0.972249	+	0.233947i	$0.924836\pi$
$654$	−24.5063	−	27.4257i	−0.958272	−	1.07243i
$655$	53.1252	+	30.6719i	2.07577	+	1.19845i
$656$	−15.8746	+	2.38897i	−0.619799	+	0.0932736i
$657$	−110.844	−	25.2994i	−4.32444	−	0.987025i
$658$	−1.68502	+	3.24706i	−0.0656889	+	0.126583i
$659$	16.7694	−	3.82750i	0.653242	−	0.149098i	0.116960	−	0.993137i	$-0.462685\pi$
$659$	16.7694	−	3.82750i	0.653242	−	0.149098i	0.536283	+	0.844038i	$0.319828\pi$
$660$	12.5106	−	7.85889i	0.486973	−	0.305907i
$661$	2.02254	+	13.4187i	0.0786677	+	0.521926i	0.993108	+	0.117205i	$0.0373933\pi$
$661$	2.02254	+	13.4187i	0.0786677	+	0.521926i	−0.914440	+	0.404721i	$0.867369\pi$
$662$	0.204365	+	3.64280i	0.00794286	+	0.141581i
$663$	2.22162	−	2.06136i	0.0862807	−	0.0800568i
$664$	−0.719058	+	12.7646i	−0.0279049	+	0.495363i
$665$	−27.8735	+	15.6819i	−1.08089	+	0.608117i
$666$	5.34960	−	16.2541i	0.207293	−	0.629833i
$667$	−8.21984	+	4.74573i	−0.318274	+	0.183755i
$668$	23.8974	−	27.7628i	0.924617	−	1.07417i
$669$	55.0712	+	51.0986i	2.12917	+	1.97558i
$670$	44.7682	+	37.0962i	1.72955	+	1.43315i
$671$	1.47180	+	1.84558i	0.0568181	+	0.0712477i
$672$	−31.1341	+	36.7162i	−1.20102	+	1.41636i
$673$	12.2101	−	15.3110i	0.470664	−	0.590194i	−0.488669	−	0.872469i	$-0.662518\pi$
$673$	12.2101	−	15.3110i	0.470664	−	0.590194i	0.959334	+	0.282275i	$0.0910890\pi$
$674$	20.2164	−	4.21694i	0.778705	−	0.162431i
$675$	−33.6739	−	85.7998i	−1.29611	−	3.30244i
$676$	6.70177	−	24.9998i	0.257760	−	0.961531i
$677$	21.8717	+	8.58402i	0.840599	+	0.329911i	0.746281	−	0.665631i	$-0.231838\pi$
$677$	21.8717	+	8.58402i	0.840599	+	0.329911i	0.0943181	+	0.995542i	$0.469933\pi$
$678$	18.4741	+	11.1332i	0.709494	+	0.427567i
$679$	−1.33322	−	0.114841i	−0.0511641	−	0.00440718i
$680$	36.9113	−	6.26492i	1.41548	−	0.240249i
$681$	3.02401	+	40.3526i	0.115880	+	1.54631i
$682$	0.224548	−	0.542018i	0.00859838	−	0.0207549i
$683$	−17.6069	−	25.8246i	−0.673711	−	0.988152i	−0.999093	−	0.0425700i	$-0.986445\pi$
$683$	−17.6069	−	25.8246i	−0.673711	−	0.988152i	0.325383	−	0.945582i	$-0.394507\pi$
$684$	49.2256	+	17.2311i	1.88219	+	0.658849i
$685$		−	35.3420i		−	1.35035i
$686$	12.5784	−	22.9735i	0.480246	−	0.877134i
$687$			59.8740i			2.28434i
$688$	−12.2208	+	21.1558i	−0.465913	+	0.806556i
$689$	1.14703	+	1.68239i	0.0436985	+	0.0640940i
$690$	63.8886	+	26.4678i	2.43220	+	1.00761i
$691$	−1.03121	−	13.7605i	−0.0392290	−	0.523475i	−0.981856	−	0.189627i	$-0.939272\pi$
$691$	−1.03121	−	13.7605i	−0.0392290	−	0.523475i	0.942627	−	0.333848i	$-0.108347\pi$
$692$	2.49206	+	9.30480i	0.0947340	+	0.353715i
$693$	13.0600	+	1.12496i	0.496108	+	0.0427338i
$694$	−11.4314	+	18.9690i	−0.433931	+	0.720054i
$695$	−12.9837	−	5.09573i	−0.492500	−	0.193292i
$696$	6.73089	−	18.1307i	0.255134	−	0.687244i
$697$	5.69985	+	14.5230i	0.215897	+	0.550097i
$698$	5.96676	+	28.6051i	0.225845	+	1.08272i
$699$	−19.6816	+	24.6800i	−0.744427	+	0.933483i
$700$	14.3125	−	31.8236i	0.540960	−	1.20282i
$701$	−13.6001	−	17.0540i	−0.513668	−	0.644119i	0.455583	−	0.890193i	$-0.349431\pi$
$701$	−13.6001	−	17.0540i	−0.513668	−	0.644119i	−0.969251	+	0.246074i	$0.920859\pi$
$702$	−3.05696	+	3.68918i	−0.115378	+	0.139239i
$703$	−4.28671	−	3.97748i	−0.161676	−	0.150014i
$704$	−2.51968	−	4.77146i	−0.0949640	−	0.179831i
$705$	−9.27338	+	5.35399i	−0.349256	+	0.201643i
$706$	−28.3340	−	9.32537i	−1.06636	−	0.350965i
$707$	−33.8122	+	19.0230i	−1.27164	+	0.715435i
$708$	2.14616	+	57.5349i	0.0806578	+	2.16229i
$709$	−16.5330	+	15.3404i	−0.620910	+	0.576121i	−0.926618	−	0.376005i	$-0.877298\pi$
$709$	−16.5330	+	15.3404i	−0.620910	+	0.576121i	0.305707	+	0.952126i	$0.401107\pi$
$710$	45.6302	−	2.55990i	1.71247	−	0.0960712i
$711$	10.9570	+	72.6947i	0.410918	+	2.72627i
$712$	3.80089	+	7.53238i	0.142444	+	0.282288i
$713$	2.67730	−	0.611075i	0.100265	−	0.0228849i
$714$	41.5259	+	21.5493i	1.55407	+	0.806463i
$715$	0.542710	+	0.123870i	0.0202962	+	0.00463248i
$716$	−22.8506	+	7.99283i	−0.853969	+	0.298706i
$717$	63.9676	+	36.9317i	2.38891	+	1.37924i
$718$	−16.5405	+	14.7797i	−0.617285	+	0.551575i
$719$	3.71601	+	2.53354i	0.138584	+	0.0944849i	0.630628	−	0.776086i	$-0.282798\pi$
$719$	3.71601	+	2.53354i	0.138584	+	0.0944849i	−0.492044	+	0.870571i	$0.663750\pi$
$720$	−95.6100	+	29.4676i	−3.56317	+	1.09819i
$721$	20.8531	+	0.232023i	0.776609	+	0.00864100i
$722$	−6.27679	+	6.51530i	−0.233598	+	0.242474i
$723$	−15.8647	−	51.4320i	−0.590014	−	1.91278i
$724$	−8.12244	+	1.53588i	−0.301868	+	0.0570805i
$725$	−1.04760	+	13.9793i	−0.0389070	+	0.519178i
$726$	21.6190	−	42.8187i	0.802356	−	1.58915i
$727$	2.71323	+	1.30662i	0.100628	+	0.0484600i	0.483521	−	0.875333i	$-0.339358\pi$
$727$	2.71323	+	1.30662i	0.100628	+	0.0484600i	−0.382893	+	0.923793i	$0.625072\pi$
$728$	−1.80769	+	0.148929i	−0.0669976	+	0.00551969i
$729$	−30.1767	+	14.5323i	−1.11766	+	0.538235i
$730$	1.39799	−	74.5205i	0.0517419	−	2.75813i
$731$	22.6892	+	6.99868i	0.839189	+	0.258855i
$732$	−9.00080	−	20.6365i	−0.332679	−	0.762748i
$733$	−5.02303	+	33.3256i	−0.185530	+	1.23091i	0.681187	+	0.732109i	$0.261464\pi$
$733$	−5.02303	+	33.3256i	−0.185530	+	1.23091i	−0.866717	+	0.498800i	$0.833774\pi$
$734$	12.0958	+	1.13497i	0.446466	+	0.0418925i
$735$	67.2305	−	36.8458i	2.47983	−	1.35908i
$736$	11.3886	−	22.5434i	0.419789	−	0.830961i
$737$	−8.05260	−	1.21373i	−0.296621	−	0.0447085i
$738$	−20.1648	−	36.4905i	−0.742278	−	1.34323i
$739$	−9.41879	+	30.5350i	−0.346476	+	1.12325i	0.599872	+	0.800096i	$0.295218\pi$
$739$	−9.41879	+	30.5350i	−0.346476	+	1.12325i	−0.946347	+	0.323151i	$0.895258\pi$
$740$	11.1471	+	1.25728i	0.409776	+	0.0462185i
$741$	1.20084	+	2.49357i	0.0441139	+	0.0916034i
$742$	−18.4749	+	25.4305i	−0.678236	+	0.933583i
$743$	−8.60386	+	17.8661i	−0.315645	+	0.655444i	−0.997074	−	0.0764404i	$-0.975645\pi$
$743$	−8.60386	+	17.8661i	−0.315645	+	0.655444i	0.681429	+	0.731884i	$0.261359\pi$
$744$	−3.40712	+	4.43866i	−0.124911	+	0.162729i
$745$	3.89525	+	0.291909i	0.142711	+	0.0106947i
$746$	2.26467	+	7.86254i	0.0829154	+	0.287868i
$747$	−31.7278	+	9.78672i	−1.16086	+	0.358078i
$748$	−3.97519	+	3.42013i	−0.145347	+	0.125052i
$749$	14.2939	−	28.8559i	0.522288	−	1.05437i
$750$	20.6606	−	13.5256i	0.754420	−	0.493885i
$751$	12.3839	−	18.1638i	0.451893	−	0.662806i	−0.530917	−	0.847424i	$-0.678152\pi$
$751$	12.3839	−	18.1638i	0.451893	−	0.662806i	0.982810	+	0.184618i	$0.0591048\pi$
$752$	1.69603	+	3.52391i	0.0618477	+	0.128504i
$753$	−29.0989	+	50.4008i	−1.06042	+	1.83671i
$754$	0.662344	−	0.303798i	0.0241212	−	0.0110637i
$755$	−12.3197	+	53.9761i	−0.448359	+	1.96439i
$756$	−69.5317	−	25.2110i	−2.52884	−	0.916916i
$757$	−8.85225	−	38.7842i	−0.321741	−	1.40964i	−0.834454	−	0.551078i	$-0.814217\pi$
$757$	−8.85225	−	38.7842i	−0.321741	−	1.40964i	0.512713	−	0.858560i	$-0.328640\pi$
$758$	12.7437	+	16.6099i	0.462873	+	0.603299i
$759$	−9.57801	+	1.44365i	−0.347660	+	0.0524013i
$760$	−4.46858	+	33.8970i	−0.162093	+	1.22957i
$761$	−8.74329	−	9.42302i	−0.316944	−	0.341584i	0.554406	−	0.832246i	$-0.312945\pi$
$761$	−8.74329	−	9.42302i	−0.316944	−	0.341584i	−0.871350	+	0.490662i	$0.836755\pi$
$762$	78.1859	−	10.2888i	2.83238	−	0.372724i
$763$	20.5110	−	6.07773i	0.742548	−	0.220029i
$764$	23.0275	+	10.0499i	0.833105	+	0.363594i
$765$	48.6158	+	84.2050i	1.75771	+	3.04444i
$766$	−13.4074	+	18.8936i	−0.484429	+	0.682655i
$767$	−1.47552	+	1.59023i	−0.0532779	+	0.0574199i
$768$	11.4285	+	50.1782i	0.412391	+	1.81065i
$769$	4.51011	−	3.59669i	0.162639	−	0.129700i	−0.538789	−	0.842441i	$-0.681118\pi$
$769$	4.51011	−	3.59669i	0.162639	−	0.129700i	0.701427	+	0.712741i	$0.252546\pi$
$770$	1.02630	+	8.53180i	0.0369853	+	0.307465i
$771$	30.9644	+	24.6933i	1.11516	+	0.889306i
$772$	−32.1176	+	3.61503i	−1.15594	+	0.130108i
$773$	−4.20510	+	1.65038i	−0.151247	+	0.0593600i	−0.439757	−	0.898117i	$-0.644935\pi$
$773$	−4.20510	+	1.65038i	−0.151247	+	0.0593600i	0.288510	+	0.957477i	$0.406840\pi$
$774$	−62.5536	−	10.6320i	−2.24844	−	0.382159i
$775$	1.48180	−	3.77557i	0.0532279	−	0.135623i
$776$	−0.953423	+	1.06651i	−0.0342259	+	0.0382855i
$777$	10.1691	+	9.64829i	0.364814	+	0.346130i
$778$	−31.7262	+	11.7698i	−1.13744	+	0.421967i
$779$	−14.2077	+	1.06472i	−0.509044	+	0.0381476i
$780$	−4.69367	−	2.48137i	−0.168060	−	0.0888472i
$781$	−5.28902	+	3.60599i	−0.189256	+	0.129033i
$782$	−23.8237	−	5.90984i	−0.851934	−	0.211335i
$783$	29.7135			1.06188
$784$	−11.5785	−	25.4939i	−0.413520	−	0.910495i
$785$	34.4073			1.22805
$786$	79.5375	+	19.7305i	2.83701	+	0.703764i
$787$	−10.0339	+	6.84099i	−0.357670	+	0.243855i	−0.728801	−	0.684725i	$-0.759922\pi$
$787$	−10.0339	+	6.84099i	−0.357670	+	0.243855i	0.371132	+	0.928580i	$0.378970\pi$
$788$	−21.7849	−	11.5169i	−0.776056	−	0.410272i
$789$	67.6857	−	5.07234i	2.40968	−	0.180580i
$790$	−45.1849	+	16.7627i	−1.60761	+	0.596390i
$791$	−10.4437	+	6.95149i	−0.371337	+	0.247166i
$792$	9.33959	−	10.4474i	0.331868	−	0.371231i
$793$	0.309916	−	0.789653i	0.0110054	−	0.0280414i
$794$	11.0527	+	1.87858i	0.392245	+	0.0666684i
$795$	−85.6471	+	33.6140i	−3.03759	+	1.19217i
$796$	46.1599	−	5.19559i	1.63610	−	0.184153i
$797$	7.97879	+	6.36287i	0.282623	+	0.225385i	0.754533	−	0.656263i	$-0.227864\pi$
$797$	7.97879	+	6.36287i	0.282623	+	0.225385i	−0.471909	+	0.881647i	$0.656435\pi$
$798$	−29.9828	+	30.4369i	−1.06138	+	1.07745i
$799$	2.97152	−	2.36971i	0.105125	−	0.0838343i
$800$	−18.0349	−	32.6538i	−0.637628	−	1.15449i
$801$	−14.9036	+	16.0622i	−0.526591	+	0.567530i
$802$	20.4074	−	28.7580i	0.720610	−	1.01548i
$803$	5.21984	+	9.04103i	0.184204	+	0.319051i
$804$	71.1850	+	31.0675i	2.51050	+	1.09566i
$805$	−29.7881	+	27.0289i	−1.04989	+	0.952643i
$806$	−0.209029	+	0.0275070i	−0.00736274	+	0.000968892i
$807$	16.1664	+	17.4232i	0.569083	+	0.613325i
$808$	−5.42066	+	41.1190i	−0.190698	+	1.44656i
$809$	−49.5270	+	7.46500i	−1.74128	+	0.262455i	−0.941299	−	0.337573i	$-0.890394\pi$
$809$	−49.5270	+	7.46500i	−1.74128	+	0.262455i	−0.799979	+	0.600029i	$0.795156\pi$
$810$	−67.1864	−	87.5694i	−2.36069	−	3.07688i
$811$	−8.81806	−	38.6345i	−0.309644	−	1.35664i	−0.855084	−	0.518490i	$-0.826495\pi$
$811$	−8.81806	−	38.6345i	−0.309644	−	1.35664i	0.545440	−	0.838150i	$-0.316363\pi$
$812$	7.86424	+	8.04306i	0.275981	+	0.282256i
$813$	−6.28000	+	27.5145i	−0.220249	+	0.964975i
$814$	−1.42818	+	0.655064i	−0.0500576	+	0.0229600i
$815$	22.2361	−	38.5140i	0.778896	−	1.34909i
$816$	45.0665	−	21.6901i	1.57764	−	0.759305i
$817$	−12.2148	+	17.9158i	−0.427341	+	0.626794i
$818$	26.6137	−	17.4228i	0.930527	−	0.609175i
$819$	−1.99650	−	4.26656i	−0.0697633	−	0.149086i
$820$	20.7183	−	17.8254i	0.723516	−	0.622491i
$821$	−29.0941	+	8.97434i	−1.01539	+	0.313207i	−0.757408	−	0.652942i	$-0.773534\pi$
$821$	−29.0941	+	8.97434i	−1.01539	+	0.313207i	−0.257984	+	0.966149i	$0.583058\pi$
$822$	−13.0676	−	45.3684i	−0.455785	−	1.58241i
$823$	−3.37956	−	0.253263i	−0.117804	−	0.00882819i	0.0156976	−	0.999877i	$-0.495003\pi$
$823$	−3.37956	−	0.253263i	−0.117804	−	0.00882819i	−0.133502	+	0.991049i	$0.542622\pi$
$824$	13.5749	−	17.6849i	0.472905	−	0.616082i
$825$	−6.20719	+	12.8894i	−0.216107	+	0.448750i
$826$	−30.7937	−	13.1605i	−1.07145	−	0.457914i
$827$	1.23588	+	2.56632i	0.0429756	+	0.0892399i	0.921351	−	0.388731i	$-0.127087\pi$
$827$	1.23588	+	2.56632i	0.0429756	+	0.0892399i	−0.878375	+	0.477971i	$0.841372\pi$
$828$	65.1799	+	7.35162i	2.26516	+	0.255486i
$829$	1.69190	−	5.48501i	0.0587622	−	0.190502i	−0.921433	−	0.388538i	$-0.872980\pi$
$829$	1.69190	−	5.48501i	0.0587622	−	0.190502i	0.980195	+	0.198036i	$0.0634563\pi$
$830$	−10.5278	−	19.0511i	−0.365424	−	0.661275i
$831$	−6.97952	−	1.05199i	−0.242117	−	0.0364932i
$832$	−1.03221	+	1.64149i	−0.0357853	+	0.0569083i
$833$	−21.6473	+	16.4887i	−0.750033	+	0.571299i
$834$	−18.5513	−	1.74069i	−0.642378	−	0.0602752i
$835$	−9.29512	+	61.6691i	−0.321671	+	2.13415i
$836$	−1.91454	−	4.38956i	−0.0662159	−	0.151816i
$837$	−8.21503	−	2.53400i	−0.283953	−	0.0875879i
$838$	0.550609	−	29.3505i	0.0190205	−	1.01390i
$839$	6.33147	−	3.04907i	0.218587	−	0.105266i	−0.321386	−	0.946948i	$-0.604149\pi$
$839$	6.33147	−	3.04907i	0.218587	−	0.105266i	0.539973	+	0.841682i	$0.318435\pi$
$840$	11.6152	−	81.1313i	0.400761	−	2.79930i
$841$	22.0565	+	10.6218i	0.760567	+	0.366270i
$842$	18.8750	−	37.3840i	0.650477	−	1.28834i
$843$	1.74613	−	23.3004i	0.0601398	−	0.802510i
$844$	−5.31548	+	1.00511i	−0.182966	+	0.0345972i
$845$	12.9885	+	42.1078i	0.446820	+	1.44855i
$846$	−7.04667	+	7.31442i	−0.242269	+	0.251475i
$847$	17.1514	+	22.0050i	0.589328	+	0.756101i
$848$	9.89734	+	32.1127i	0.339876	+	1.10275i
$849$	19.9857	+	13.6260i	0.685908	+	0.467644i
$850$	−27.0332	+	24.1556i	−0.927232	+	0.828529i
$851$	−6.36925	−	3.67729i	−0.218335	−	0.126056i
$852$	57.6288	−	20.1577i	1.97433	−	0.690592i
$853$	−6.19678	−	1.41438i	−0.212174	−	0.0484273i	0.115113	−	0.993352i	$-0.463277\pi$
$853$	−6.19678	−	1.41438i	−0.212174	−	0.0484273i	−0.327287	+	0.944925i	$0.606134\pi$
$854$	13.0893	+	0.391273i	0.447906	+	0.0133891i
$855$	−86.5676	+	19.7585i	−2.96055	+	0.675726i
$856$	−15.5087	−	30.7343i	−0.530077	−	1.05048i
$857$	−5.47253	−	36.3078i	−0.186938	−	1.24025i	−0.863683	−	0.504035i	$-0.831848\pi$
$857$	−5.47253	−	36.3078i	−0.186938	−	1.24025i	0.676745	−	0.736217i	$-0.263390\pi$
$858$	0.742476	−	0.0416536i	0.0253477	−	0.00142203i
$859$	−36.6163	+	33.9750i	−1.24933	+	1.15921i	−0.268728	+	0.963216i	$0.586603\pi$
$859$	−36.6163	+	33.9750i	−1.24933	+	1.15921i	−0.980605	+	0.195996i	$0.937206\pi$
$860$	−1.55052	−	41.5668i	−0.0528724	−	1.41742i
$861$	34.0841	−	2.17320i	1.16158	−	0.0740623i
$862$	36.5079	+	12.0156i	1.24346	+	0.409253i
$863$	13.6515	−	7.88171i	0.464704	−	0.268297i	−0.249316	−	0.968422i	$-0.580206\pi$
$863$	13.6515	−	7.88171i	0.464704	−	0.268297i	0.714020	+	0.700125i	$0.246873\pi$
$864$	−66.1628	+	43.2920i	−2.25090	+	1.47282i
$865$	−12.0220	−	11.1548i	−0.408761	−	0.379275i
$866$	−20.4719	+	24.7057i	−0.695664	+	0.839535i
$867$	3.78655	+	4.74818i	0.128598	+	0.161257i
$868$	−1.48834	−	2.89437i	−0.0505175	−	0.0982413i
$869$	4.20879	−	5.27766i	0.142774	−	0.179032i
$870$	6.72344	+	32.2327i	0.227946	+	1.09279i
$871$	1.06915	+	2.72415i	0.0362268	+	0.0923044i
$872$	7.95936	−	21.4398i	0.269538	−	0.726044i
$873$	−3.45838	−	1.35732i	−0.117049	−	0.0459382i
$874$	11.5700	−	19.1989i	0.391361	−	0.649414i
$875$	1.98258	+	14.2257i	0.0670233	+	0.480918i
$876$	−25.7591	−	96.1787i	−0.870320	−	3.24958i
$877$	−1.69111	−	22.5662i	−0.0571046	−	0.762008i	−0.950101	−	0.311943i	$-0.899020\pi$
$877$	−1.69111	−	22.5662i	−0.0571046	−	0.762008i	0.892996	−	0.450064i	$-0.148599\pi$
$878$	−26.0838	−	10.8060i	−0.880285	−	0.364686i
$879$	−4.70716	−	6.90413i	−0.158768	−	0.232871i
$880$	7.95479	+	4.59515i	0.268156	+	0.154902i
$881$			9.70783i			0.327065i	0.986538	+	0.163532i	$0.0522889\pi$
$881$			9.70783i			0.327065i	−0.986538	+	0.163532i	$0.947711\pi$
$882$	51.6043	−	51.2331i	1.73761	−	1.72511i
$883$		−	28.0824i		−	0.945047i	−0.881318	−	0.472524i	$-0.843343\pi$
$883$		−	28.0824i		−	0.945047i	0.881318	−	0.472524i	$-0.156657\pi$
$884$	1.77864	+	0.622605i	0.0598223	+	0.0209405i
$885$	−55.2181	−	80.9901i	−1.85614	−	2.72245i
$886$	0.943031	−	2.27631i	0.0316818	−	0.0764741i
$887$	−0.951332	−	12.6946i	−0.0319426	−	0.426244i	−0.990135	−	0.140119i	$-0.955252\pi$
$887$	−0.951332	−	12.6946i	−0.0319426	−	0.426244i	0.958192	−	0.286126i	$-0.0923675\pi$
$888$	14.7744	−	2.50764i	0.495797	−	0.0841510i
$889$	−14.0068	+	43.6774i	−0.469772	+	1.46489i
$890$	−12.3029	−	7.41419i	−0.412394	−	0.248524i
$891$	14.3910	+	5.64807i	0.482118	+	0.189217i
$892$	−12.0955	+	45.1204i	−0.404989	+	1.51074i
$893$	1.26806	+	3.23096i	0.0424340	+	0.108120i
$894$	5.10826	−	1.06553i	0.170846	−	0.0356368i
$895$	25.6972	−	32.2232i	0.858961	−	1.07710i
$896$	−29.2298	−	6.45135i	−0.976498	−	0.215525i
$897$	2.17025	+	2.72140i	0.0724624	+	0.0908650i
$898$	−22.2600	−	18.4453i	−0.742825	−	0.615527i
$899$	0.958485	+	0.889344i	0.0319673	+	0.0296613i
$900$	63.2010	−	73.4238i	2.10670	−	2.44746i
$901$	28.2821	−	16.3287i	0.942212	−	0.543986i
$902$	−1.19680	+	3.63631i	−0.0398489	+	0.121076i
$903$	29.7564	−	42.6181i	0.990232	−	1.41824i
$904$	−0.754328	+	13.3907i	−0.0250886	+	0.445368i
$905$	10.3167	−	9.57254i	0.342940	−	0.318202i
$906$	4.14273	+	73.8441i	0.137633	+	2.45331i
$907$	−1.55011	−	10.2843i	−0.0514706	−	0.341485i	−0.999713	−	0.0239390i	$-0.992379\pi$
$907$	−1.55011	−	10.2843i	−0.0514706	−	0.341485i	0.948243	−	0.317546i	$-0.102859\pi$
$908$	−21.3066	+	13.3844i	−0.707083	+	0.444176i
$909$	−105.012	+	23.9682i	−3.48302	+	0.794976i
$910$	2.47080	−	1.85238i	0.0819061	−	0.0614058i
$911$	−36.1822	−	8.25836i	−1.19877	−	0.273612i	−0.423887	−	0.905715i	$-0.639334\pi$
$911$	−36.1822	−	8.25836i	−1.19877	−	0.273612i	−0.774884	+	0.632104i	$0.782192\pi$
$912$	6.79699	+	45.1657i	0.225071	+	1.49559i
$913$	2.64030	+	1.52438i	0.0873813	+	0.0504496i
$914$	−6.22359	−	6.96501i	−0.205858	−	0.230382i
$915$	31.6703	+	21.5924i	1.04699	+	0.713823i
$916$	−32.9175	+	17.3925i	−1.08762	+	0.574666i
$917$	−30.1312	+	36.9327i	−0.995019	+	1.21963i
$918$	55.3389	+	53.3131i	1.82646	+	1.75960i
$919$	4.22897	+	13.7100i	0.139501	+	0.452250i	0.998183	−	0.0602584i	$-0.0191925\pi$
$919$	4.22897	+	13.7100i	0.139501	+	0.452250i	−0.858682	+	0.512509i	$0.828716\pi$
$920$	4.00726	+	42.8131i	0.132115	+	1.41151i
$921$	6.92019	−	92.3435i	0.228028	−	3.04282i
$922$	8.98387	+	4.53592i	0.295868	+	0.149383i
$923$	2.07255	+	0.998089i	0.0682189	+	0.0328525i
$924$	4.47206	+	10.5728i	0.147120	+	0.347819i
$925$	−9.78669	+	4.71302i	−0.321784	+	0.154963i
$926$	−8.93024	−	0.167529i	−0.293466	−	0.00550536i
$927$	55.3270	+	17.0661i	1.81718	+	0.560525i
$928$	11.9231	−	1.56621i	0.391396	−	0.0514135i
$929$	5.30416	−	35.1908i	0.174024	−	1.15457i	−0.715812	−	0.698293i	$-0.753943\pi$
$929$	5.30416	−	35.1908i	0.174024	−	1.15457i	0.889836	−	0.456281i	$-0.150819\pi$
$930$	0.889980	−	9.48490i	0.0291836	−	0.311022i
$931$	−8.56189	−	23.3288i	−0.280605	−	0.764571i
$932$	−19.2858	−	3.65137i	−0.631726	−	0.119604i
$933$	−44.3595	−	6.68612i	−1.45226	−	0.218894i
$934$	27.6943	−	15.3040i	0.906186	−	0.500763i
$935$	2.63158	−	8.53137i	0.0860618	−	0.279006i
$936$	−4.92948	−	1.02943i	−0.161125	−	0.0336479i
$937$	20.9681	+	43.5407i	0.684997	+	1.42241i	0.895609	+	0.444842i	$0.146740\pi$
$937$	20.9681	+	43.5407i	0.684997	+	1.42241i	−0.210612	+	0.977570i	$0.567546\pi$
$938$	−34.0195	+	29.7241i	−1.11077	+	0.970526i
$939$	−1.96951	+	4.08973i	−0.0642726	+	0.133463i
$940$	−5.63729	−	3.54305i	−0.183868	−	0.115562i
$941$	−14.9414	−	1.11970i	−0.487076	−	0.0365013i	−0.171071	−	0.985259i	$-0.554723\pi$
$941$	−14.9414	−	1.11970i	−0.487076	−	0.0365013i	−0.316005	+	0.948757i	$0.602342\pi$
$942$	44.1686	−	12.7220i	1.43909	−	0.414505i
$943$	−17.1227	+	5.28166i	−0.557593	+	0.171995i
$944$	−31.0081	+	17.8930i	−1.00923	+	0.582367i
$945$	123.068	−	26.6524i	4.00339	−	0.867001i
$946$	3.19114	+	4.87453i	0.103753	+	0.158485i
$947$	29.2686	−	42.9292i	0.951103	−	1.39501i	0.0326559	−	0.999467i	$-0.489603\pi$
$947$	29.2686	−	42.9292i	0.951103	−	1.39501i	0.918447	−	0.395545i	$-0.129444\pi$
$948$	−51.8058	+	38.2252i	−1.68257	+	1.24150i
$949$	1.87579	−	3.24896i	0.0608907	−	0.105466i
$950$	−13.8026	−	30.0926i	−0.447816	−	0.976333i
$951$	20.2932	−	88.9103i	0.658052	−	2.88311i
$952$	0.215296	+	29.0898i	0.00697779	+	0.942806i
$953$	−5.32826	−	23.3446i	−0.172599	−	0.756207i	−0.984922	−	0.172999i	$-0.944654\pi$
$953$	−5.32826	−	23.3446i	−0.172599	−	0.756207i	0.812323	−	0.583208i	$-0.198203\pi$
$954$	−69.2386	+	53.1223i	−2.24168	+	1.71990i
$955$	−42.2981	+	6.37542i	−1.36874	+	0.206304i
$956$	−1.72261	+	45.8962i	−0.0557132	+	1.48439i
$957$	−3.13689	−	3.38077i	−0.101401	−	0.109285i
$958$	−6.90232	−	52.4517i	−0.223004	−	1.69464i
$959$	27.1071	+	4.39472i	0.875335	+	0.141913i
$960$	−61.9334	−	61.9763i	−1.99889	−	2.00028i
$961$	15.3108	+	26.5192i	0.493898	+	0.855457i
$962$	0.460477	+	0.326766i	0.0148464	+	0.0105354i
$963$	60.8107	−	65.5384i	1.95960	−	2.11195i
$964$	23.6678	−	23.6623i	0.762288	−	0.762112i
$965$	43.0212	−	34.3083i	1.38490	−	1.10442i
$966$	−28.2451	+	45.7110i	−0.908772	+	1.47073i
$967$	1.81521	+	1.44758i	0.0583731	+	0.0465510i	0.652242	−	0.758011i	$-0.273829\pi$
$967$	1.81521	+	1.44758i	0.0583731	+	0.0465510i	−0.593869	+	0.804562i	$0.702400\pi$
$968$	29.8208	−	0.552556i	0.958478	−	0.0177598i
$969$	41.3201	−	16.2169i	1.32739	−	0.520963i
$970$	0.408106	−	2.40110i	0.0131035	−	0.0770947i
$971$	5.95056	−	15.1618i	0.190963	−	0.486565i	−0.803039	−	0.595926i	$-0.796785\pi$
$971$	5.95056	−	15.1618i	0.190963	−	0.486565i	0.994002	+	0.109361i	$0.0348804\pi$
$972$	−51.1544	−	37.7627i	−1.64078	−	1.21124i
$973$	5.52290	−	9.32479i	0.177056	−	0.298939i
$974$	−3.45403	−	9.31055i	−0.110674	−	0.298329i
$975$	5.12663	−	0.384188i	0.164184	−	0.0123039i
$976$	8.73093	−	10.9431i	0.279470	−	0.350279i
$977$	14.1964	−	9.67895i	0.454184	−	0.309657i	−0.314533	−	0.949247i	$-0.601848\pi$
$977$	14.1964	−	9.67895i	0.454184	−	0.309657i	0.768717	+	0.639589i	$0.220896\pi$
$978$	14.3040	−	57.6621i	0.457390	−	1.84383i
$979$	2.01195			0.0643023
$980$	39.7865	+	26.2587i	1.27093	+	0.838804i
$981$	59.3935			1.89629
$982$	8.87590	−	35.7805i	0.283241	−	1.14180i
$983$	19.3708	−	13.2068i	0.617832	−	0.421231i	−0.213550	−	0.976932i	$-0.568503\pi$
$983$	19.3708	−	13.2068i	0.617832	−	0.421231i	0.831382	+	0.555701i	$0.187550\pi$
$984$	20.0052	−	30.5430i	0.637742	−	0.973675i
$985$	41.8360	−	3.13518i	1.33301	−	0.0998950i
$986$	−4.06494	−	10.9573i	−0.129454	−	0.348952i
$987$	−2.95335	−	7.77839i	−0.0940062	−	0.247589i
$988$	−1.02208	+	1.38454i	−0.0325168	+	0.0440481i
$989$	−9.96316	+	25.3857i	−0.316810	+	0.807219i
$990$	−3.99774	+	23.5208i	−0.127057	+	0.747541i
$991$	29.0226	−	11.3905i	0.921934	−	0.361832i	0.143566	−	0.989641i	$-0.454143\pi$
$991$	29.0226	−	11.3905i	0.921934	−	0.361832i	0.778368	+	0.627809i	$0.216048\pi$
$992$	−3.43000	−	0.583798i	−0.108903	−	0.0185356i
$993$	−6.48774	−	5.17380i	−0.205882	−	0.164185i
$994$	−3.71061	+	35.3164i	−0.117693	+	1.12017i
$995$	−61.8308	+	49.3085i	−1.96017	+	1.56318i
$996$	−20.5585	−	20.5633i	−0.651422	−	0.651573i
$997$	−1.45523	+	1.56836i	−0.0460875	+	0.0496705i	−0.755675	−	0.654947i	$-0.772691\pi$
$997$	−1.45523	+	1.56836i	−0.0460875	+	0.0496705i	0.709587	+	0.704618i	$0.248881\pi$
$998$	−33.8652	−	24.0316i	−1.07198	−	0.760707i
$999$	11.5120	+	19.9393i	0.364222	+	0.630852i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.59.3	yes	312
4.3	odd	2	inner	196.2.p.a.59.2	✓	312
49.5	odd	42	inner	196.2.p.a.103.2	yes	312
196.103	even	42	inner	196.2.p.a.103.3	yes	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.59.2	✓	312	4.3	odd	2	inner
196.2.p.a.59.3	yes	312	1.1	even	1	trivial
196.2.p.a.103.2	yes	312	49.5	odd	42	inner
196.2.p.a.103.3	yes	312	196.103	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 $\F_{q}$

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+(-1.37261 - 0.340497i) q^{2} +(2.65756 - 1.81189i) q^{3} +(1.76812 + 0.934741i) q^{4} +(-3.39552 + 0.254459i) q^{5} +(-4.26474 + 1.58213i) q^{6} +(0.227059 - 2.63599i) q^{7} +(-2.10867 - 1.88508i) q^{8} +(2.68364 - 6.83780i) q^{9} +(4.74738 + 0.806893i) q^{10} +(-0.627861 + 0.246417i) q^{11} +(6.39254 - 0.719520i) q^{12} +(0.189502 + 0.151122i) q^{13} +(-1.20921 + 3.54088i) q^{14} +(-8.56275 + 6.82857i) q^{15} +(2.25252 + 3.30547i) q^{16} +(2.64410 - 2.84966i) q^{17} +(-6.01185 + 8.47187i) q^{18} +(1.77502 + 3.07443i) q^{19} +(-6.24156 - 2.72402i) q^{20} +(-4.17271 - 7.41671i) q^{21} +(0.945714 - 0.124450i) q^{22} +(3.03684 + 3.27294i) q^{23} +(-9.01947 - 1.18902i) q^{24} +(6.52068 - 0.982835i) q^{25} +(-0.208655 - 0.271957i) q^{26} +(-3.11025 - 13.6269i) q^{27} +(2.86544 - 4.44851i) q^{28} +(-0.473043 + 2.07254i) q^{29} +(14.0784 - 6.45737i) q^{30} +(0.307532 - 0.532662i) q^{31} +(-1.96633 - 5.30411i) q^{32} +(-1.22210 + 1.79249i) q^{33} +(-4.59963 + 3.01117i) q^{34} +(-0.100232 + 9.00835i) q^{35} +(11.1366 - 9.58157i) q^{36} +(-1.57405 + 0.485530i) q^{37} +(-1.38958 - 4.82439i) q^{38} +(0.777429 + 0.0582603i) q^{39} +(7.63971 + 5.86426i) q^{40} +(-1.74132 + 3.61590i) q^{41} +(3.20214 + 11.6010i) q^{42} +(2.65014 + 5.50308i) q^{43} +(-1.34047 - 0.151191i) q^{44} +(-7.37242 + 23.9008i) q^{45} +(-3.05398 - 5.52651i) q^{46} +(0.966783 + 0.145719i) q^{47} +(11.9754 + 4.70317i) q^{48} +(-6.89689 - 1.19705i) q^{49} +(-9.28502 - 0.871225i) q^{50} +(1.86357 - 12.3640i) q^{51} +(0.193802 + 0.444338i) q^{52} +(8.02760 + 2.47619i) q^{53} +(-0.370758 + 19.7635i) q^{54} +(2.06922 - 0.996482i) q^{55} +(-5.44784 + 5.13041i) q^{56} +(10.2878 + 4.95433i) q^{57} +(1.35500 - 2.68372i) q^{58} +(-0.668839 + 8.92504i) q^{59} +(-21.5229 + 4.06979i) q^{60} +(-1.03159 - 3.34433i) q^{61} +(-0.603492 + 0.626423i) q^{62} +(-17.4150 - 8.62663i) q^{63} +(0.892967 + 7.95001i) q^{64} +(-0.681912 - 0.464919i) q^{65} +(2.28780 - 2.04427i) q^{66} +(10.4561 + 6.03686i) q^{67} +(7.33879 - 2.56701i) q^{68} +(14.0008 + 3.19559i) q^{69} +(3.20490 - 12.3308i) q^{70} +(9.25271 - 2.11187i) q^{71} +(-18.5487 + 9.35979i) q^{72} +(-2.30687 - 15.3051i) q^{73} +(2.32588 - 0.130484i) q^{74} +(15.5483 - 14.4267i) q^{75} +(0.264663 + 7.09516i) q^{76} +(0.506992 + 1.71099i) q^{77} +(-1.04727 - 0.344681i) q^{78} +(-8.66734 + 5.00409i) q^{79} +(-8.48959 - 10.6506i) q^{80} +(-16.8021 - 15.5901i) q^{81} +(3.62136 - 4.37030i) q^{82} +(-2.81825 - 3.53397i) q^{83} +(-0.445164 - 17.0141i) q^{84} +(-8.25299 + 10.3489i) q^{85} +(-1.76383 - 8.45595i) q^{86} +(2.49808 + 6.36499i) q^{87} +(1.78847 + 0.663955i) q^{88} +(-2.77674 - 1.08979i) q^{89} +(18.2576 - 30.2962i) q^{90} +(0.441385 - 0.465210i) q^{91} +(2.31016 + 8.62562i) q^{92} +(-0.147841 - 1.97280i) q^{93} +(-1.27740 - 0.529203i) q^{94} +(-6.80946 - 9.98764i) q^{95} +(-14.8361 - 10.5332i) q^{96} -0.505774i q^{97} +(9.05915 + 3.99146i) q^{98} +4.95449i 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

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Representations

Groups

Database

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