LMFDB - Embedded newform 429.2.bs.a.271.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [429,2,Mod(7,429)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(429, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([0, 42, 55])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("429.7"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bs (of order $60$, degree $16$, minimal)

Newform invariants

comment:select newform

sage:traces = [224,0,-28] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(3)] == traces)

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

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$14$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			271.1
Character	$\chi$	$=$	429.271
Dual form			429.2.bs.a.19.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.55941 - 1.92572i) q^{2} +(0.978148 - 0.207912i) q^{3} +(-0.860786 + 4.04968i) q^{4} +(-3.59392 - 0.569220i) q^{5} +(-1.92572 - 1.55941i) q^{6} +(0.829321 + 1.27704i) q^{7} +(4.72514 - 2.40758i) q^{8} +(0.913545 - 0.406737i) q^{9} +(4.50825 + 7.80851i) q^{10} +(-0.479721 + 3.28175i) q^{11} +4.14015i q^{12} +(3.57676 - 0.454711i) q^{13} +(1.16597 - 3.58847i) q^{14} +(-3.63373 + 0.190436i) q^{15} +(-4.44034 - 1.97697i) q^{16} +(0.0870711 + 0.828426i) q^{17} +(-2.20785 - 1.12496i) q^{18} +(-1.44921 - 0.0759497i) q^{19} +(5.39875 - 14.0642i) q^{20} +(1.07671 + 1.07671i) q^{21} +(7.06780 - 4.19380i) q^{22} +(4.79612 - 2.76904i) q^{23} +(4.12132 - 3.33738i) q^{24} +(7.83694 + 2.54638i) q^{25} +(-6.45330 - 6.17875i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-5.88548 + 2.25922i) q^{28} +(5.98217 + 5.38637i) q^{29} +(6.03321 + 6.70056i) q^{30} +(0.420467 + 2.65472i) q^{31} +(0.372136 + 1.38883i) q^{32} +(0.213076 + 3.30977i) q^{33} +(1.45953 - 1.45953i) q^{34} +(-2.25359 - 5.06165i) q^{35} +(0.860786 + 4.04968i) q^{36} +(-0.0287896 - 0.549338i) q^{37} +(2.11365 + 2.90920i) q^{38} +(3.40406 - 1.18842i) q^{39} +(-18.3522 + 5.96300i) q^{40} +(-3.23515 + 4.98170i) q^{41} +(0.394401 - 3.75247i) q^{42} +(1.22704 - 2.12529i) q^{43} +(-12.8771 - 4.76760i) q^{44} +(-3.51473 + 0.941769i) q^{45} +(-12.8115 - 4.91788i) q^{46} +(4.55006 + 8.93000i) q^{47} +(-4.75434 - 1.01057i) q^{48} +(1.90409 - 4.27666i) q^{49} +(-7.31744 - 19.0626i) q^{50} +(0.257408 + 0.792220i) q^{51} +(-1.23740 + 14.8762i) q^{52} +(3.56475 + 2.58994i) q^{53} +(-2.39350 - 0.641336i) q^{54} +(3.59211 - 11.5213i) q^{55} +(6.99324 + 4.03755i) q^{56} +(-1.43333 + 0.227017i) q^{57} +(1.04394 - 19.9195i) q^{58} +(9.08309 - 5.89863i) q^{59} +(2.35666 - 14.8794i) q^{60} +(-10.8556 + 1.14097i) q^{61} +(4.45656 - 4.94951i) q^{62} +(1.27704 + 0.829321i) q^{63} +(-3.61975 + 4.98215i) q^{64} +(-13.1134 - 0.401775i) q^{65} +(6.04141 - 5.57163i) q^{66} +(1.46898 - 5.48229i) q^{67} +(-3.42981 - 0.360488i) q^{68} +(4.11559 - 3.70570i) q^{69} +(-6.23302 + 12.2330i) q^{70} +(0.825376 - 1.01925i) q^{71} +(3.33738 - 4.12132i) q^{72} +(-6.44410 + 12.6472i) q^{73} +(-1.01297 + 0.912086i) q^{74} +(8.19510 + 0.861340i) q^{75} +(1.55503 - 5.80345i) q^{76} +(-4.58877 + 2.10900i) q^{77} +(-7.59691 - 4.70201i) q^{78} +(-8.29617 + 11.4187i) q^{79} +(14.8329 + 9.63258i) q^{80} +(0.669131 - 0.743145i) q^{81} +(14.6383 - 1.53855i) q^{82} +(0.486166 - 3.06953i) q^{83} +(-5.28715 + 3.43351i) q^{84} +(0.158631 - 3.02686i) q^{85} +(-6.00617 + 0.951284i) q^{86} +(6.97133 + 4.02490i) q^{87} +(5.63433 + 16.6617i) q^{88} +(3.02281 + 0.809960i) q^{89} +(7.29449 + 5.29976i) q^{90} +(3.54697 + 4.19058i) q^{91} +(7.08529 + 21.8063i) q^{92} +(0.963227 + 2.50929i) q^{93} +(10.1012 - 22.6877i) q^{94} +(5.16509 + 1.09787i) q^{95} +(0.652758 + 1.28111i) q^{96} +(17.4092 + 6.68277i) q^{97} +(-11.2049 + 3.00235i) q^{98} +(0.896560 + 3.19315i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 28 q^{3} - 6 q^{5} + 28 q^{9} - 16 q^{11} - 10 q^{13} - 36 q^{14} + 8 q^{15} - 24 q^{16} + 50 q^{20} + 10 q^{22} - 48 q^{23} - 30 q^{24} + 10 q^{26} + 56 q^{27} + 20 q^{29} + 12 q^{31} - 32 q^{33}+ \cdots - 6 q^{99}+O(q^{100}) $ 224 * q - 28 * q^3 - 6 * q^5 + 28 * q^9 - 16 * q^11 - 10 * q^13 - 36 * q^14 + 8 * q^15 - 24 * q^16 + 50 * q^20 + 10 * q^22 - 48 * q^23 - 30 * q^24 + 10 * q^26 + 56 * q^27 + 20 * q^29 + 12 * q^31 - 32 * q^33 - 104 * q^34 + 20 * q^35 + 12 * q^37 + 20 * q^39 - 80 * q^40 + 190 * q^41 + 32 * q^42 - 24 * q^44 + 4 * q^45 - 40 * q^46 - 10 * q^47 + 44 * q^48 - 24 * q^49 - 180 * q^50 - 110 * q^52 + 28 * q^53 - 62 * q^55 - 72 * q^56 + 20 * q^58 - 118 * q^59 + 88 * q^60 - 20 * q^61 + 120 * q^62 - 20 * q^66 - 156 * q^67 - 60 * q^68 + 12 * q^69 - 20 * q^70 + 64 * q^71 - 30 * q^72 + 10 * q^73 - 60 * q^74 - 12 * q^75 + 84 * q^78 + 200 * q^79 + 188 * q^80 + 28 * q^81 - 138 * q^82 - 80 * q^83 - 60 * q^84 + 40 * q^85 - 42 * q^86 - 18 * q^88 + 216 * q^89 - 88 * q^91 + 16 * q^92 + 12 * q^93 - 40 * q^94 - 300 * q^95 - 100 * q^96 + 18 * q^97 - 6 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{10}\right)$	$1$

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 $

$2$	−1.55941	−	1.92572i	−1.10267	−	1.36169i	−0.926047	−	0.377408i	$-0.876815\pi$
$2$	−1.55941	−	1.92572i	−1.10267	−	1.36169i	−0.176625	−	0.984278i	$-0.556518\pi$
$3$	0.978148	−	0.207912i	0.564734	−	0.120038i
$3$	0.978148	−	0.207912i	0.564734	−	0.120038i
$4$	−0.860786	+	4.04968i	−0.430393	+	2.02484i
$5$	−3.59392	−	0.569220i	−1.60725	−	0.254563i	−0.712678	−	0.701491i	$-0.752518\pi$
$5$	−3.59392	−	0.569220i	−1.60725	−	0.254563i	−0.894570	+	0.446928i	$0.852518\pi$
$6$	−1.92572	−	1.55941i	−0.786170	−	0.636628i
$7$	0.829321	+	1.27704i	0.313454	+	0.482677i	0.959923	−	0.280263i	$-0.0904218\pi$
$7$	0.829321	+	1.27704i	0.313454	+	0.482677i	−0.646469	+	0.762940i	$0.723755\pi$
$8$	4.72514	−	2.40758i	1.67059	−	0.851209i
$9$	0.913545	−	0.406737i	0.304515	−	0.135579i
$10$	4.50825	+	7.80851i	1.42563	+	2.46927i
$11$	−0.479721	+	3.28175i	−0.144641	+	0.989484i
$11$	−0.479721	+	3.28175i	−0.144641	+	0.989484i
$12$			4.14015i			1.19516i
$13$	3.57676	−	0.454711i	0.992016	−	0.126114i
$13$	3.57676	−	0.454711i	0.992016	−	0.126114i
$14$	1.16597	−	3.58847i	0.311617	−	0.959060i
$15$	−3.63373	+	0.190436i	−0.938225	+	0.0491703i
$16$	−4.44034	−	1.97697i	−1.11008	−	0.494242i
$17$	0.0870711	+	0.828426i	0.0211179	+	0.200923i	0.999994	−	0.00353233i	$-0.00112438\pi$
$17$	0.0870711	+	0.828426i	0.0211179	+	0.200923i	−0.978876	+	0.204455i	$0.934458\pi$
$18$	−2.20785	−	1.12496i	−0.520396	−	0.265155i
$19$	−1.44921	−	0.0759497i	−0.332471	−	0.0174241i	−0.114630	−	0.993408i	$-0.536568\pi$
$19$	−1.44921	−	0.0759497i	−0.332471	−	0.0174241i	−0.217841	+	0.975984i	$0.569901\pi$
$20$	5.39875	−	14.0642i	1.20720	−	3.14486i
$21$	1.07671	+	1.07671i	0.234957	+	0.234957i
$22$	7.06780	−	4.19380i	1.50686	−	0.894121i
$23$	4.79612	−	2.76904i	1.00006	−	0.577385i	0.0917936	−	0.995778i	$-0.470740\pi$
$23$	4.79612	−	2.76904i	1.00006	−	0.577385i	0.908266	+	0.418393i	$0.137407\pi$
$24$	4.12132	−	3.33738i	0.841262	−	0.681240i
$25$	7.83694	+	2.54638i	1.56739	+	0.509275i
$26$	−6.45330	−	6.17875i	−1.26560	−	1.21175i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	−5.88548	+	2.25922i	−1.11225	+	0.426953i
$29$	5.98217	+	5.38637i	1.11086	+	1.00022i	0.999980	+	0.00638940i	$0.00203382\pi$
$29$	5.98217	+	5.38637i	1.11086	+	1.00022i	0.110881	+	0.993834i	$0.464633\pi$
$30$	6.03321	+	6.70056i	1.10151	+	1.22335i
$31$	0.420467	+	2.65472i	0.0755181	+	0.476802i	0.996244	+	0.0865921i	$0.0275977\pi$
$31$	0.420467	+	2.65472i	0.0755181	+	0.476802i	−0.920726	+	0.390210i	$0.872402\pi$
$32$	0.372136	+	1.38883i	0.0657850	+	0.245513i
$33$	0.213076	+	3.30977i	0.0370918	+	0.576158i
$34$	1.45953	−	1.45953i	0.250308	−	0.250308i
$35$	−2.25359	−	5.06165i	−0.380926	−	0.855575i
$36$	0.860786	+	4.04968i	0.143464	+	0.674947i
$37$	−0.0287896	−	0.549338i	−0.00473298	−	0.0903106i	0.995242	−	0.0974377i	$-0.0310647\pi$
$37$	−0.0287896	−	0.549338i	−0.00473298	−	0.0903106i	−0.999975	+	0.00712714i	$0.997731\pi$
$38$	2.11365	+	2.90920i	0.342880	+	0.471934i
$39$	3.40406	−	1.18842i	0.545086	−	0.190300i
$40$	−18.3522	+	5.96300i	−2.90174	+	0.942833i
$41$	−3.23515	+	4.98170i	−0.505246	+	0.778011i	−0.995619	−	0.0935019i	$-0.970194\pi$
$41$	−3.23515	+	4.98170i	−0.505246	+	0.778011i	0.490373	+	0.871513i	$0.336861\pi$
$42$	0.394401	−	3.75247i	0.0608574	−	0.579019i
$43$	1.22704	−	2.12529i	0.187122	−	0.324104i	−0.757168	−	0.653220i	$-0.773418\pi$
$43$	1.22704	−	2.12529i	0.187122	−	0.324104i	0.944289	+	0.329116i	$0.106751\pi$
$44$	−12.8771	−	4.76760i	−1.94129	−	0.718742i
$45$	−3.51473	+	0.941769i	−0.523945	+	0.140391i
$46$	−12.8115	−	4.91788i	−1.88895	−	0.725102i
$47$	4.55006	+	8.93000i	0.663695	+	1.30257i	0.939892	+	0.341473i	$0.110926\pi$
$47$	4.55006	+	8.93000i	0.663695	+	1.30257i	−0.276197	+	0.961101i	$0.589074\pi$
$48$	−4.75434	−	1.01057i	−0.686230	−	0.145863i
$49$	1.90409	−	4.27666i	0.272013	−	0.610952i
$50$	−7.31744	−	19.0626i	−1.03484	−	2.69585i
$51$	0.257408	+	0.792220i	0.0360443	+	0.110933i
$52$	−1.23740	+	14.8762i	−0.171596	+	2.06295i
$53$	3.56475	+	2.58994i	0.489656	+	0.355756i	0.805052	−	0.593204i	$-0.202137\pi$
$53$	3.56475	+	2.58994i	0.489656	+	0.355756i	−0.315396	+	0.948960i	$0.602137\pi$
$54$	−2.39350	−	0.641336i	−0.325714	−	0.0872748i
$55$	3.59211	−	11.5213i	0.484360	−	1.55353i
$56$	6.99324	+	4.03755i	0.934512	+	0.539541i
$57$	−1.43333	+	0.227017i	−0.189849	+	0.0300691i
$58$	1.04394	−	19.9195i	0.137076	−	2.61556i
$59$	9.08309	−	5.89863i	1.18252	−	0.767936i	0.204994	−	0.978763i	$-0.434282\pi$
$59$	9.08309	−	5.89863i	1.18252	−	0.767936i	0.977523	+	0.210827i	$0.0676158\pi$
$60$	2.35666	−	14.8794i	0.304243	−	1.92092i
$61$	−10.8556	+	1.14097i	−1.38992	+	0.146086i	−0.769732	−	0.638368i	$-0.779610\pi$
$61$	−10.8556	+	1.14097i	−1.38992	+	0.146086i	−0.620187	+	0.784454i	$0.712943\pi$
$62$	4.45656	−	4.94951i	0.565984	−	0.628589i
$63$	1.27704	+	0.829321i	0.160892	+	0.104485i
$64$	−3.61975	+	4.98215i	−0.452468	+	0.622769i
$65$	−13.1134	−	0.401775i	−1.62652	−	0.0498341i
$66$	6.04141	−	5.57163i	0.743646	−	0.685820i
$67$	1.46898	−	5.48229i	0.179464	−	0.669769i	−0.816284	−	0.577651i	$-0.803970\pi$
$67$	1.46898	−	5.48229i	0.179464	−	0.669769i	0.995748	−	0.0921181i	$-0.0293637\pi$
$68$	−3.42981	−	0.360488i	−0.415926	−	0.0437156i
$69$	4.11559	−	3.70570i	0.495459	−	0.446114i
$70$	−6.23302	+	12.2330i	−0.744988	+	1.46212i
$71$	0.825376	−	1.01925i	0.0979542	−	0.120963i	−0.725812	−	0.687893i	$-0.758536\pi$
$71$	0.825376	−	1.01925i	0.0979542	−	0.120963i	0.823766	+	0.566930i	$0.191869\pi$
$72$	3.33738	−	4.12132i	0.393314	−	0.485703i
$73$	−6.44410	+	12.6472i	−0.754224	+	1.48025i	0.118981	+	0.992896i	$0.462037\pi$
$73$	−6.44410	+	12.6472i	−0.754224	+	1.48025i	−0.873206	+	0.487352i	$0.837963\pi$
$74$	−1.01297	+	0.912086i	−0.117756	+	0.106028i
$75$	8.19510	+	0.861340i	0.946289	+	0.0994590i
$76$	1.55503	−	5.80345i	0.178374	−	0.665701i
$77$	−4.58877	+	2.10900i	−0.522939	+	0.240343i
$78$	−7.59691	−	4.70201i	−0.860181	−	0.532398i
$79$	−8.29617	+	11.4187i	−0.933392	+	1.28470i	0.0251295	+	0.999684i	$0.492000\pi$
$79$	−8.29617	+	11.4187i	−0.933392	+	1.28470i	−0.958522	+	0.285020i	$0.908000\pi$
$80$	14.8329	+	9.63258i	1.65837	+	1.07696i
$81$	0.669131	−	0.743145i	0.0743478	−	0.0825716i
$82$	14.6383	−	1.53855i	1.61653	−	0.169904i
$83$	0.486166	−	3.06953i	0.0533637	−	0.336925i	−0.946534	−	0.322605i	$-0.895442\pi$
$83$	0.486166	−	3.06953i	0.0533637	−	0.336925i	0.999897	−	0.0143202i	$-0.00455843\pi$
$84$	−5.28715	+	3.43351i	−0.576875	+	0.374627i
$85$	0.158631	−	3.02686i	0.0172059	−	0.328309i
$86$	−6.00617	+	0.951284i	−0.647662	+	0.102580i
$87$	6.97133	+	4.02490i	0.747405	+	0.431514i
$88$	5.63433	+	16.6617i	0.600621	+	1.77614i
$89$	3.02281	+	0.809960i	0.320417	+	0.0858556i	0.415443	−	0.909619i	$-0.363627\pi$
$89$	3.02281	+	0.809960i	0.320417	+	0.0858556i	−0.0950256	+	0.995475i	$0.530293\pi$
$90$	7.29449	+	5.29976i	0.768907	+	0.558644i
$91$	3.54697	+	4.19058i	0.371823	+	0.439292i
$92$	7.08529	+	21.8063i	0.738693	+	2.27346i
$93$	0.963227	+	2.50929i	0.0998820	+	0.260201i
$94$	10.1012	−	22.6877i	1.04186	−	2.34006i
$95$	5.16509	+	1.09787i	0.529927	+	0.112640i
$96$	0.652758	+	1.28111i	0.0666219	+	0.130753i
$97$	17.4092	+	6.68277i	1.76764	+	0.678533i	0.999257	+	0.0385397i	$0.0122706\pi$
$97$	17.4092	+	6.68277i	1.76764	+	0.678533i	0.768381	+	0.639993i	$0.221063\pi$
$98$	−11.2049	+	3.00235i	−1.13187	+	0.303283i
$99$	0.896560	+	3.19315i	0.0901077	+	0.320923i
$100$	−17.0579	+	29.5452i	−1.70579	+	2.95452i
$101$	−1.58656	+	15.0951i	−0.157868	+	1.50202i	0.573032	+	0.819533i	$0.305767\pi$
$101$	−1.58656	+	15.0951i	−0.157868	+	1.50202i	−0.730901	+	0.682484i	$0.760900\pi$
$102$	1.12419	−	1.73109i	0.111311	−	0.171404i
$103$	−13.3410	+	4.33474i	−1.31452	+	0.427115i	−0.880611	−	0.473840i	$-0.842868\pi$
$103$	−13.3410	+	4.33474i	−1.31452	+	0.427115i	−0.433913	+	0.900955i	$0.642868\pi$
$104$	15.8060	−	10.7599i	1.54990	−	1.05510i
$105$	−3.25672	−	4.48249i	−0.317823	−	0.437446i
$106$	−0.571428	−	10.9035i	−0.0555020	−	1.05904i
$107$	1.61771	+	7.61071i	0.156390	+	0.735755i	0.984527	+	0.175231i	$0.0560671\pi$
$107$	1.61771	+	7.61071i	0.156390	+	0.735755i	−0.828138	+	0.560524i	$0.810600\pi$
$108$	1.68395	+	3.78222i	0.162038	+	0.363944i
$109$	12.6249	−	12.6249i	1.20924	−	1.20924i	0.237972	−	0.971272i	$-0.423517\pi$
$109$	12.6249	−	12.6249i	1.20924	−	1.20924i	0.971272	−	0.237972i	$-0.0764825\pi$
$110$	−27.7883	+	11.0490i	−2.64951	+	1.05348i
$111$	−0.142374	−	0.531348i	−0.0135136	−	0.0504333i
$112$	−1.15780	−	7.31004i	−0.109401	−	0.690734i
$113$	4.29192	+	4.76666i	0.403750	+	0.448410i	0.910392	−	0.413747i	$-0.135780\pi$
$113$	4.29192	+	4.76666i	0.403750	+	0.448410i	−0.506642	+	0.862157i	$0.669113\pi$
$114$	2.67232	+	2.40617i	0.250286	+	0.225358i
$115$	−18.8130	+	7.22165i	−1.75432	+	0.673422i
$116$	−26.9624	+	19.5893i	−2.50340	+	1.81883i
$117$	3.08259	−	1.87020i	0.284985	−	0.172900i
$118$	−25.5234	−	8.29305i	−2.34962	−	0.763437i
$119$	−0.985726	+	0.798225i	−0.0903613	+	0.0731732i
$120$	−16.7114	+	9.64833i	−1.52554	+	0.880768i
$121$	−10.5397	−	3.14864i	−0.958158	−	0.286240i
$122$	19.1256	+	19.1256i	1.73155	+	1.73155i
$123$	−2.12870	+	5.54546i	−0.191939	+	0.500018i
$124$	−11.1127	−	0.582393i	−0.997951	−	0.0523004i
$125$	−10.5053	−	5.35270i	−0.939619	−	0.478760i
$126$	−0.394401	−	3.75247i	−0.0351360	−	0.334297i
$127$	14.0694	+	6.26409i	1.24845	+	0.555848i	0.921200	−	0.389089i	$-0.127210\pi$
$127$	14.0694	+	6.26409i	1.24845	+	0.555848i	0.327254	+	0.944936i	$0.393877\pi$
$128$	18.1106	−	0.949136i	1.60077	−	0.0838926i
$129$	0.758351	−	2.33397i	0.0667691	−	0.205494i
$130$	19.6755	+	25.8793i	1.72566	+	2.26976i
$131$		−	12.8688i		−	1.12435i	−0.827019	−	0.562174i	$-0.809965\pi$
$131$		−	12.8688i		−	1.12435i	0.827019	−	0.562174i	$-0.190035\pi$
$132$	−13.5869	−	1.98612i	−1.18259	−	0.172869i
$133$	−1.10487	−	1.91368i	−0.0958041	−	0.165937i
$134$	−12.8481	+	5.72033i	−1.10991	+	0.494162i
$135$	−3.24212	+	1.65194i	−0.279037	+	0.142177i
$136$	2.40593	+	3.70480i	0.206307	+	0.317684i
$137$	−17.4395	−	14.1223i	−1.48996	−	1.20655i	−0.924161	−	0.382003i	$-0.875234\pi$
$137$	−17.4395	−	14.1223i	−1.48996	−	1.20655i	−0.565799	−	0.824543i	$-0.691432\pi$
$138$	−13.5540	−	2.14675i	−1.15380	−	0.182743i
$139$	0.662325	−	3.11599i	0.0561777	−	0.264295i	−0.941091	−	0.338153i	$-0.890198\pi$
$139$	0.662325	−	3.11599i	0.0561777	−	0.264295i	0.997269	+	0.0738580i	$0.0235311\pi$
$140$	22.4379	−	4.76933i	1.89635	−	0.403082i
$141$	6.30728	+	7.78884i	0.531169	+	0.655939i
$142$	−3.24990			−0.272725
$143$	−0.223602	+	11.9562i	−0.0186985	+	0.999825i
$144$	−4.86056			−0.405046
$145$	−18.4334	−	22.7633i	−1.53081	−	1.89039i
$146$	34.4040	−	7.31280i	2.84730	−	0.605212i
$147$	0.973316	−	4.57909i	0.0802777	−	0.377677i
$148$	2.24942	+	0.356274i	0.184902	+	0.0292855i
$149$	−0.263028	−	0.212996i	−0.0215481	−	0.0174493i	0.618486	−	0.785796i	$-0.287746\pi$
$149$	−0.263028	−	0.212996i	−0.0215481	−	0.0174493i	−0.640034	+	0.768347i	$0.721080\pi$
$150$	−11.1209	−	17.1246i	−0.908015	−	1.39822i
$151$	9.69189	−	4.93826i	0.788715	−	0.401870i	−0.0127452	−	0.999919i	$-0.504057\pi$
$151$	9.69189	−	4.93826i	0.788715	−	0.401870i	0.801460	+	0.598049i	$0.204057\pi$
$152$	−7.03056	+	3.13021i	−0.570254	+	0.253893i
$153$	0.416495	+	0.721390i	0.0336716	+	0.0583209i
$154$	11.2171	+	5.54787i	0.903902	+	0.447060i
$155$		−	9.78019i		−	0.785564i
$156$	1.88257	+	14.8083i	0.150726	+	1.18562i
$157$	−0.827156	+	2.54572i	−0.0660142	+	0.203171i	−0.978623	−	0.205664i	$-0.934065\pi$
$157$	−0.827156	+	2.54572i	−0.0660142	+	0.203171i	0.912608	+	0.408835i	$0.134065\pi$
$158$	34.9263	−	1.83041i	2.77859	−	0.145620i
$159$	4.02533	+	1.79219i	0.319230	+	0.142130i
$160$	−0.546875	−	5.20317i	−0.0432343	−	0.411347i
$161$	7.51370	+	3.82842i	0.592163	+	0.301722i
$162$	−2.47454	−	0.129685i	−0.194418	−	0.0101890i
$163$	1.48607	−	3.87134i	0.116398	−	0.303227i	−0.862988	−	0.505224i	$-0.831410\pi$
$163$	1.48607	−	3.87134i	0.116398	−	0.303227i	0.979386	+	0.201997i	$0.0647432\pi$
$164$	−17.3895	−	17.3895i	−1.35789	−	1.35789i
$165$	1.11821	−	12.0163i	0.0870527	−	0.935470i
$166$	−6.66918	+	3.85045i	−0.517629	+	0.298853i
$167$	−12.9727	+	10.5051i	−1.00385	+	0.812905i	−0.982386	−	0.186864i	$-0.940168\pi$
$167$	−12.9727	+	10.5051i	−1.00385	+	0.812905i	−0.0214687	+	0.999770i	$0.506834\pi$
$168$	7.67988	+	2.49534i	0.592516	+	0.192520i
$169$	12.5865	−	3.25278i	0.968191	−	0.250214i
$170$	−6.07624	+	4.41465i	−0.466026	+	0.338588i
$171$	−1.35481	+	0.520062i	−0.103605	+	0.0397701i
$172$	7.55054	+	6.79853i	0.575723	+	0.518383i
$173$	5.27410	+	5.85748i	0.400982	+	0.445336i	0.909493	−	0.415720i	$-0.136470\pi$
$173$	5.27410	+	5.85748i	0.400982	+	0.445336i	−0.508511	+	0.861056i	$0.669804\pi$
$174$	−3.12038	−	19.7013i	−0.236555	−	1.49355i
$175$	3.24751	+	12.1199i	0.245489	+	0.916176i
$176$	8.61803	−	13.6237i	0.649608	−	1.02692i
$177$	7.65821	−	7.65821i	0.575626	−	0.575626i
$178$	−3.15406	−	7.08414i	−0.236407	−	0.530979i
$179$	−4.95029	−	23.2893i	−0.370002	−	1.74072i	−0.631369	−	0.775482i	$-0.717507\pi$
$179$	−4.95029	−	23.2893i	−0.370002	−	1.74072i	0.261367	−	0.965239i	$-0.415827\pi$
$180$	−0.788432	−	15.0442i	−0.0587663	−	1.12133i
$181$	3.81149	+	5.24606i	0.283306	+	0.389937i	0.926825	−	0.375493i	$-0.122527\pi$
$181$	3.81149	+	5.24606i	0.283306	+	0.389937i	−0.643520	+	0.765430i	$0.722527\pi$
$182$	2.53867	−	13.3653i	0.188179	−	0.990702i
$183$	−10.3812	+	3.37305i	−0.767398	+	0.249343i
$184$	15.9957	−	24.6312i	1.17922	−	1.81583i
$185$	−0.209227	+	1.99066i	−0.0153827	+	0.146356i
$186$	3.33011	−	5.76792i	0.244176	−	0.422925i
$187$	−2.76046	−	0.111668i	−0.201865	−	0.00816595i
$188$	−40.0803	+	10.7395i	−2.92315	+	0.783257i
$189$	1.42156	+	0.545686i	0.103403	+	0.0396928i
$190$	−5.94032	−	11.6585i	−0.430956	−	0.845800i
$191$	−11.6458	−	2.47539i	−0.842659	−	0.179113i	−0.233694	−	0.972310i	$-0.575082\pi$
$191$	−11.6458	−	2.47539i	−0.842659	−	0.179113i	−0.608965	+	0.793197i	$0.708415\pi$
$192$	−2.50480	+	5.62587i	−0.180768	+	0.406012i
$193$	−3.65107	−	9.51135i	−0.262809	−	0.684642i	−0.999960	−	0.00891376i	$-0.997163\pi$
$193$	−3.65107	−	9.51135i	−0.262809	−	0.684642i	0.737151	−	0.675728i	$-0.236171\pi$
$194$	−14.2791	−	43.9464i	−1.02518	−	3.15517i
$195$	−12.9104	+	2.33344i	−0.924532	+	0.167101i
$196$	15.6801	+	11.3923i	1.12001	+	0.813733i
$197$	−4.27973	−	1.14675i	−0.304918	−	0.0817026i	0.103116	−	0.994669i	$-0.467119\pi$
$197$	−4.27973	−	1.14675i	−0.304918	−	0.0817026i	−0.408034	+	0.912967i	$0.633786\pi$
$198$	4.75098	−	6.70596i	0.337638	−	0.476572i
$199$	−9.25141	−	5.34130i	−0.655815	−	0.378635i	0.134866	−	0.990864i	$-0.456940\pi$
$199$	−9.25141	−	5.34130i	−0.655815	−	0.378635i	−0.790681	+	0.612229i	$0.790273\pi$
$200$	43.1613	−	6.83607i	3.05196	−	0.483383i
$201$	0.297043	−	5.66791i	0.0209518	−	0.399783i
$202$	31.5429	−	20.4842i	2.21935	−	1.44126i
$203$	−1.91748	+	12.1065i	−0.134581	+	0.849710i
$204$	−3.42981	+	0.360488i	−0.240135	+	0.0252392i
$205$	14.4626	−	16.0623i	1.01011	−	1.12184i
$206$	29.1516	+	18.9312i	2.03109	+	1.31900i
$207$	3.25520	−	4.48040i	0.226252	−	0.311409i
$208$	−16.7810	−	5.05207i	−1.16355	−	0.350298i
$209$	0.944462	−	4.71950i	0.0653298	−	0.326454i
$210$	−3.55343	+	13.2616i	−0.245210	+	0.915136i
$211$	−10.7723	−	1.13221i	−0.741593	−	0.0779446i	−0.273805	−	0.961785i	$-0.588282\pi$
$211$	−10.7723	−	1.13221i	−0.741593	−	0.0779446i	−0.467788	+	0.883841i	$0.654949\pi$
$212$	−13.5569	+	12.2067i	−0.931094	+	0.838361i
$213$	0.595425	−	1.16859i	0.0407978	−	0.0800703i
$214$	12.1334	−	14.9835i	0.829421	−	1.02425i
$215$	−5.61963	+	6.93967i	−0.383256	+	0.473281i
$216$	2.40758	−	4.72514i	0.163815	−	0.321505i
$217$	−3.04149	+	2.73857i	−0.206470	+	0.185906i
$218$	−43.9993	−	4.62452i	−2.98001	−	0.313212i
$219$	−3.67377	+	13.7107i	−0.248250	+	0.926482i
$220$	43.5654	+	24.4642i	2.93718	+	1.64938i
$221$	0.688127	+	2.92349i	0.0462884	+	0.196655i
$222$	−0.801204	+	1.10276i	−0.0537733	+	0.0740126i
$223$	10.2952	+	6.68576i	0.689415	+	0.447712i	0.841216	−	0.540700i	$-0.181840\pi$
$223$	10.2952	+	6.68576i	0.689415	+	0.447712i	−0.151800	+	0.988411i	$0.548507\pi$
$224$	−1.46498	+	1.62702i	−0.0978828	+	0.108710i
$225$	8.19510	−	0.861340i	0.546340	−	0.0574227i
$226$	2.48635	−	15.6982i	0.165390	−	1.04423i
$227$	−9.64169	+	6.26139i	−0.639941	+	0.415583i	−0.823413	−	0.567442i	$-0.807933\pi$
$227$	−9.64169	+	6.26139i	−0.639941	+	0.415583i	0.183472	+	0.983025i	$0.441266\pi$
$228$	0.314443	−	5.99993i	0.0208245	−	0.397355i
$229$	−13.8315	+	2.19070i	−0.914012	+	0.144765i	−0.595687	−	0.803216i	$-0.703120\pi$
$229$	−13.8315	+	2.19070i	−0.914012	+	0.144765i	−0.318325	+	0.947982i	$0.603120\pi$
$230$	43.2441	+	24.9670i	2.85143	+	1.64628i
$231$	−4.05001	+	3.01697i	−0.266471	+	0.198502i
$232$	41.2347	+	11.0488i	2.70719	+	0.725390i
$233$	−0.585832	−	0.425632i	−0.0383791	−	0.0278841i	0.568430	−	0.822731i	$-0.307551\pi$
$233$	−0.585832	−	0.425632i	−0.0383791	−	0.0278841i	−0.606809	+	0.794847i	$0.707551\pi$
$234$	−8.40850	−	3.01977i	−0.549681	−	0.197409i
$235$	−11.2694	−	34.6836i	−0.735135	−	2.26251i
$236$	16.0690	+	41.8611i	1.04600	+	2.72492i
$237$	−5.74080	+	12.8940i	−0.372905	+	0.837558i
$238$	3.07431	+	0.653464i	0.199278	+	0.0423578i
$239$	−4.71003	−	9.24396i	−0.304667	−	0.597942i	0.687017	−	0.726641i	$-0.258920\pi$
$239$	−4.71003	−	9.24396i	−0.304667	−	0.597942i	−0.991684	+	0.128699i	$0.958920\pi$
$240$	16.5115	+	6.33816i	1.06581	+	0.409126i
$241$	22.3017	−	5.97572i	1.43658	−	0.384930i	0.545244	−	0.838278i	$-0.316437\pi$
$241$	22.3017	−	5.97572i	1.43658	−	0.384930i	0.891334	+	0.453348i	$0.149770\pi$
$242$	10.3724	+	25.2066i	0.666764	+	1.62034i
$243$	0.500000	−	0.866025i	0.0320750	−	0.0555556i
$244$	4.72379	−	44.9439i	0.302410	−	2.87724i
$245$	−9.27751	+	14.2861i	−0.592719	+	0.912707i
$246$	13.9985	−	4.54839i	0.892513	−	0.289995i
$247$	−5.21800	+	0.387315i	−0.332014	+	0.0246443i
$248$	8.37823	+	11.5316i	0.532018	+	0.732260i
$249$	−0.162649	−	3.10354i	−0.0103075	−	0.196679i
$250$	6.07427	+	28.5772i	0.384171	+	1.80738i
$251$	−10.2169	−	22.9474i	−0.644882	−	1.44843i	−0.879288	−	0.476290i	$-0.841981\pi$
$251$	−10.2169	−	22.9474i	−0.644882	−	1.44843i	0.234406	−	0.972139i	$-0.424686\pi$
$252$	−4.45774	+	4.45774i	−0.280812	+	0.280812i
$253$	6.78649	+	17.0680i	0.426663	+	1.07306i
$254$	−9.87712	−	36.8619i	−0.619745	−	2.31292i
$255$	−0.474155	−	2.99370i	−0.0296927	−	0.187472i
$256$	−21.8283	−	24.2428i	−1.36427	−	1.51517i
$257$	8.14256	+	7.33159i	0.507919	+	0.457332i	0.882806	−	0.469738i	$-0.155652\pi$
$257$	8.14256	+	7.33159i	0.507919	+	0.457332i	−0.374887	+	0.927071i	$0.622318\pi$
$258$	−5.67714	+	2.17925i	−0.353443	+	0.135674i
$259$	0.677652	−	0.492343i	0.0421072	−	0.0305927i
$260$	12.9149	−	52.7593i	0.800949	−	3.27199i
$261$	7.65581	+	2.48752i	0.473883	+	0.153974i
$262$	−24.7816	+	20.0677i	−1.53101	+	1.23979i
$263$	−11.3281	+	6.54029i	−0.698522	+	0.403292i	−0.806797	−	0.590829i	$-0.798801\pi$
$263$	−11.3281	+	6.54029i	−0.698522	+	0.403292i	0.108275	+	0.994121i	$0.465467\pi$
$264$	8.97536	+	15.1262i	0.552395	+	0.930951i
$265$	−11.3372	−	11.3372i	−0.696437	−	0.696437i
$266$	−1.96227	+	5.11188i	−0.120314	+	0.313430i
$267$	3.12516	+	0.163782i	0.191256	+	0.0100233i
$268$	20.9371	+	10.6680i	1.27893	+	0.651650i
$269$	−1.98473	−	18.8835i	−0.121011	−	1.15134i	−0.871477	−	0.490436i	$-0.836838\pi$
$269$	−1.98473	−	18.8835i	−0.121011	−	1.15134i	0.750466	−	0.660909i	$-0.229829\pi$
$270$	8.23698	+	3.66734i	0.501286	+	0.223187i
$271$	−4.61047	+	0.241624i	−0.280066	+	0.0146776i	−0.191852	−	0.981424i	$-0.561449\pi$
$271$	−4.61047	+	0.241624i	−0.280066	+	0.0146776i	−0.0882142	+	0.996102i	$0.528116\pi$
$272$	1.25115	−	3.85063i	0.0758619	−	0.233479i
$273$	4.34073	+	3.36155i	0.262713	+	0.203450i
$274$			55.6060i			3.35928i
$275$	−12.1161	+	24.4973i	−0.730629	+	1.47724i
$276$	11.4642	+	19.8567i	0.690066	+	1.19523i
$277$	3.99125	−	1.77702i	0.239811	−	0.106771i	−0.283312	−	0.959028i	$-0.591433\pi$
$277$	3.99125	−	1.77702i	0.239811	−	0.106771i	0.523123	+	0.852257i	$0.324767\pi$
$278$	−7.03336	+	3.58367i	−0.421833	+	0.214935i
$279$	1.46389	+	2.25419i	0.0876407	+	0.134955i
$280$	−22.8349	−	18.4913i	−1.36464	−	1.10507i
$281$	−13.0817	−	2.07194i	−0.780388	−	0.123601i	−0.246485	−	0.969147i	$-0.579276\pi$
$281$	−13.0817	−	2.07194i	−0.780388	−	0.123601i	−0.533904	+	0.845545i	$0.679276\pi$
$282$	5.16344	−	24.2921i	0.307478	−	1.44657i
$283$	−14.9696	+	3.18190i	−0.889853	+	0.189144i	−0.630084	−	0.776527i	$-0.716980\pi$
$283$	−14.9696	+	3.18190i	−0.889853	+	0.189144i	−0.259769	+	0.965671i	$0.583646\pi$
$284$	3.41718	+	4.21987i	0.202773	+	0.250403i
$285$	5.28049			0.312789
$286$	23.3729	−	18.2140i	1.38207	−	1.07702i
$287$	−9.04482			−0.533899
$288$	0.904852	+	1.11740i	0.0533189	+	0.0658434i
$289$	15.9498	−	3.39023i	0.938224	−	0.199426i
$290$	−15.0904	+	70.9949i	−0.886140	+	4.16896i
$291$	18.4182	+	2.91716i	1.07969	+	0.171007i
$292$	−45.6703	−	36.9831i	−2.67265	−	2.16427i
$293$	−10.3413	−	15.9241i	−0.604143	−	0.930298i	−0.999929	−	0.0119554i	$-0.996194\pi$
$293$	−10.3413	−	15.9241i	−0.604143	−	0.930298i	0.395786	−	0.918343i	$-0.370472\pi$
$294$	−10.3358	+	5.26637i	−0.602798	+	0.307141i
$295$	−36.0015	+	16.0289i	−2.09609	+	0.933238i
$296$	−1.45861	−	2.52639i	−0.0847800	−	0.146843i
$297$	1.54086	+	2.93696i	0.0894098	+	0.170420i
$298$			0.838667i			0.0485827i
$299$	15.8955	−	12.0850i	0.919258	−	0.698896i
$300$	−10.5424	+	32.4461i	−0.608665	+	1.87328i
$301$	3.73170	−	0.195570i	0.215091	−	0.0112725i
$302$	−24.6234	−	10.9630i	−1.41691	−	0.630851i
$303$	1.58656	+	15.0951i	0.0911453	+	0.867190i
$304$	6.28482	+	3.20227i	0.360459	+	0.183663i
$305$	39.6636	+	2.07868i	2.27113	+	0.119025i
$306$	0.739705	−	1.92700i	0.0422861	−	0.110159i
$307$	−12.4627	−	12.4627i	−0.711285	−	0.711285i	0.255519	−	0.966804i	$-0.417754\pi$
$307$	−12.4627	−	12.4627i	−0.711285	−	0.711285i	−0.966804	+	0.255519i	$0.917754\pi$
$308$	−4.59082	−	20.3985i	−0.261586	−	1.16231i
$309$	−12.1482	+	7.01376i	−0.691086	+	0.398999i
$310$	−18.8339	+	15.2514i	−1.06969	+	0.866219i
$311$	1.91088	+	0.620884i	0.108356	+	0.0352071i	0.362693	−	0.931909i	$-0.381857\pi$
$311$	1.91088	+	0.620884i	0.108356	+	0.0352071i	−0.254337	+	0.967116i	$0.581857\pi$
$312$	13.2235	−	13.8110i	0.748631	−	0.781896i
$313$	22.4613	−	16.3191i	1.26959	−	0.922409i	0.270401	−	0.962748i	$-0.412844\pi$
$313$	22.4613	−	16.3191i	1.26959	−	0.922409i	0.999186	+	0.0403387i	$0.0128437\pi$
$314$	6.19222	−	2.37697i	0.349447	−	0.134140i
$315$	−4.11752	−	3.70743i	−0.231996	−	0.208890i
$316$	−39.1008	−	43.4259i	−2.19959	−	2.44290i
$317$	−3.54587	−	22.3877i	−0.199156	−	1.25742i	−0.861321	−	0.508061i	$-0.830362\pi$
$317$	−3.54587	−	22.3877i	−0.199156	−	1.25742i	0.662165	−	0.749358i	$-0.269638\pi$
$318$	−2.82590	−	10.5464i	−0.158469	−	0.591414i
$319$	−20.5465	+	17.0480i	−1.15038	+	0.954505i
$320$	15.8450	−	15.8450i	0.885763	−	0.885763i
$321$	3.16471	+	7.10806i	0.176637	+	0.396733i
$322$	−4.34452	−	20.4393i	−0.242110	−	1.13904i
$323$	−0.0632653	−	1.20717i	−0.00352018	−	0.0671690i
$324$	2.43352	+	3.34945i	0.135196	+	0.186081i
$325$	29.1887	+	5.54425i	1.61910	+	0.307539i
$326$	−9.77249	+	3.17528i	−0.541248	+	0.175862i
$327$	9.72413	−	14.9739i	0.537746	−	0.828056i
$328$	−3.29272	+	31.3281i	−0.181810	+	1.72981i
$329$	−7.63052	+	13.2165i	−0.420684	+	0.728647i
$330$	−24.8838	+	16.5851i	−1.36981	+	0.912979i
$331$	−22.7814	+	6.10426i	−1.25218	+	0.335520i	−0.823178	−	0.567784i	$-0.807801\pi$
$331$	−22.7814	+	6.10426i	−1.25218	+	0.335520i	−0.429001	+	0.903304i	$0.641134\pi$
$332$	12.0121	+	4.61103i	0.659252	+	0.253063i
$333$	−0.249736	−	0.490135i	−0.0136855	−	0.0268592i
$334$	40.4595	+	8.59993i	2.21384	+	0.470567i
$335$	−8.40001	+	18.8667i	−0.458942	+	1.03080i
$336$	−2.65234	−	6.90958i	−0.144697	−	0.376948i
$337$	5.98656	+	18.4247i	0.326108	+	1.00366i	0.970938	+	0.239332i	$0.0769285\pi$
$337$	5.98656	+	18.4247i	0.326108	+	1.00366i	−0.644829	+	0.764327i	$0.723072\pi$
$338$	−25.8915	−	19.1655i	−1.40831	−	1.04247i
$339$	5.18918	+	3.77016i	0.281837	+	0.204767i
$340$	12.1213	+	3.24788i	0.657368	+	0.176141i
$341$	−8.91384	+	0.106341i	−0.482711	+	0.00575868i
$342$	3.11420	+	1.79798i	0.168396	+	0.0972237i
$343$	17.5682	−	2.78254i	0.948596	−	0.150243i
$344$	0.681118	−	12.9965i	0.0367234	−	0.700725i
$345$	−16.9005	+	10.9753i	−0.909890	+	0.590890i
$346$	3.05534	−	19.2906i	0.164256	−	1.03707i
$347$	15.0596	−	1.58282i	0.808440	−	0.0849705i	0.308715	−	0.951155i	$-0.400101\pi$
$347$	15.0596	−	1.58282i	0.808440	−	0.0849705i	0.499725	+	0.866184i	$0.333434\pi$
$348$	−22.3004	+	24.7671i	−1.19543	+	1.32765i
$349$	17.4779	+	11.3503i	0.935571	+	0.607567i	0.919833	−	0.392310i	$-0.128324\pi$
$349$	17.4779	+	11.3503i	0.935571	+	0.607567i	0.0157373	+	0.999876i	$0.494990\pi$
$350$	18.2752	−	25.1537i	0.976851	−	1.34452i
$351$	2.62639	−	2.47024i	0.140186	−	0.131852i
$352$	−4.73631	+	0.555006i	−0.252446	+	0.0295819i
$353$	−0.360145	+	1.34408i	−0.0191686	+	0.0715381i	−0.974848	−	0.222873i	$-0.928457\pi$
$353$	−0.360145	+	1.34408i	−0.0191686	+	0.0715381i	0.955679	+	0.294411i	$0.0951233\pi$
$354$	−26.6898	−	2.80522i	−1.41855	−	0.149096i
$355$	−3.54651	+	3.19330i	−0.188229	+	0.169483i
$356$	−5.88207	+	11.5442i	−0.311749	+	0.611842i
$357$	−0.798225	+	0.985726i	−0.0422465	+	0.0521701i
$358$	−37.1290	+	45.8505i	−1.96233	+	2.42327i
$359$	−8.44786	+	16.5799i	−0.445861	+	0.875052i	0.553255	+	0.833012i	$0.313386\pi$
$359$	−8.44786	+	16.5799i	−0.445861	+	0.875052i	−0.999116	+	0.0420398i	$0.986614\pi$
$360$	−14.3402	+	12.9120i	−0.755796	+	0.680522i
$361$	−16.8015	−	1.76591i	−0.884289	−	0.0929425i
$362$	4.15874	−	15.5206i	0.218578	−	0.815745i
$363$	−10.9641	−	0.888504i	−0.575464	−	0.0466344i
$364$	−20.0237	+	10.7569i	−1.04953	+	0.563815i
$365$	30.3586	−	41.7850i	1.58904	−	2.18713i
$366$	22.6841	+	14.7312i	1.18572	+	0.770012i
$367$	2.10776	−	2.34091i	0.110024	−	0.122194i	−0.685617	−	0.727963i	$-0.740467\pi$
$367$	2.10776	−	2.34091i	0.110024	−	0.122194i	0.795641	+	0.605768i	$0.207134\pi$
$368$	−26.7707	+	2.81371i	−1.39552	+	0.146675i
$369$	−0.929220	+	5.86686i	−0.0483733	+	0.305417i
$370$	4.15972	−	2.70135i	0.216254	−	0.140437i
$371$	−0.351144	+	6.70023i	−0.0182305	+	0.347859i
$372$	−10.9910	+	1.74080i	−0.569855	+	0.0902561i
$373$	−10.6533	−	6.15070i	−0.551609	−	0.318471i	0.198162	−	0.980169i	$-0.436503\pi$
$373$	−10.6533	−	6.15070i	−0.551609	−	0.318471i	−0.749771	+	0.661698i	$0.769836\pi$
$374$	4.08965	+	5.48999i	0.211471	+	0.283881i
$375$	−11.3886	−	3.05156i	−0.588104	−	0.157582i
$376$	42.9994	+	31.2409i	2.21752	+	1.61113i
$377$	23.8460	+	16.5456i	1.22813	+	0.852142i
$378$	−1.16597	−	3.58847i	−0.0599708	−	0.184571i
$379$	−4.28957	−	11.1747i	−0.220341	−	0.574007i	0.778200	−	0.628017i	$-0.216133\pi$
$379$	−4.28957	−	11.1747i	−0.220341	−	0.574007i	−0.998540	+	0.0540098i	$0.982800\pi$
$380$	−8.89208	+	19.9719i	−0.456154	+	1.02454i
$381$	15.0643	+	3.20201i	0.771767	+	0.164044i
$382$	13.3937	+	26.2866i	0.685281	+	1.34494i
$383$	34.8484	+	13.3770i	1.78067	+	0.683535i	0.998143	+	0.0609173i	$0.0194026\pi$
$383$	34.8484	+	13.3770i	1.78067	+	0.683535i	0.782526	+	0.622618i	$0.213931\pi$
$384$	17.5175	−	4.69380i	0.893936	−	0.239530i
$385$	17.6921	−	4.96754i	0.901675	−	0.253169i
$386$	−12.6226	+	21.8630i	−0.642475	+	1.11280i
$387$	0.256521	−	2.44063i	0.0130397	−	0.124064i
$388$	−42.0487	+	64.7493i	−2.13470	+	3.28715i
$389$	23.1597	−	7.52503i	1.17424	−	0.381534i	0.344017	−	0.938963i	$-0.388212\pi$
$389$	23.1597	−	7.52503i	1.17424	−	0.381534i	0.830224	+	0.557429i	$0.188212\pi$
$390$	24.6262	+	21.2230i	1.24700	+	1.07467i
$391$	2.71155	+	3.73213i	0.137129	+	0.188742i
$392$	−1.29930	−	24.7921i	−0.0656245	−	1.25219i
$393$	−2.67556	−	12.5875i	−0.134964	−	0.634957i
$394$	4.46556	+	10.0298i	0.224972	+	0.505294i
$395$	36.3155	−	36.3155i	1.82723	−	1.82723i
$396$	−13.7030	+	0.882168i	−0.688600	+	0.0443306i
$397$	3.70047	+	13.8103i	0.185721	+	0.693122i	0.994475	+	0.104974i	$0.0334759\pi$
$397$	3.70047	+	13.8103i	0.185721	+	0.693122i	−0.808754	+	0.588148i	$0.799857\pi$
$398$	4.14094	+	26.1449i	0.207567	+	1.31052i
$399$	−1.47860	−	1.64215i	−0.0740226	−	0.0822104i
$400$	−29.7646	−	26.8001i	−1.48823	−	1.34001i
$401$	36.4842	−	14.0050i	1.82193	−	0.699374i	0.832566	−	0.553926i	$-0.186871\pi$
$401$	36.4842	−	14.0050i	1.82193	−	0.699374i	0.989366	−	0.145449i	$-0.0464625\pi$
$402$	−11.3780	+	8.26660i	−0.567483	+	0.412300i
$403$	2.71104	+	9.30413i	0.135047	+	0.463472i
$404$	−59.7646	−	19.4187i	−2.97340	−	0.966116i
$405$	−2.82781	+	2.28992i	−0.140515	+	0.113787i
$406$	26.3038	−	15.1865i	1.30544	−	0.753695i
$407$	1.81660	+	0.169049i	0.0900455	+	0.00837942i
$408$	3.12362	+	3.12362i	0.154642	+	0.154642i
$409$	4.56805	−	11.9002i	0.225875	−	0.588425i	−0.773071	−	0.634320i	$-0.781280\pi$
$409$	4.56805	−	11.9002i	0.225875	−	0.588425i	0.998946	+	0.0458942i	$0.0146137\pi$
$410$	−53.4845	−	2.80301i	−2.64141	−	0.138431i
$411$	−19.9946	−	10.1878i	−0.986262	−	0.502526i
$412$	−6.07060	−	57.7579i	−0.299077	−	2.84553i
$413$	15.0656	+	6.70763i	0.741329	+	0.330061i
$414$	−13.7042	+	0.718206i	−0.673524	+	0.0352979i
$415$	−3.49448	+	10.7549i	−0.171537	+	0.527938i
$416$	1.96256	+	4.79831i	0.0962224	+	0.235256i
$417$		−	3.18561i		−	0.156000i
$418$	−10.5612	+	5.54088i	−0.516566	+	0.271013i
$419$	3.69565	+	6.40106i	0.180545	+	0.312712i	0.942066	−	0.335427i	$-0.108881\pi$
$419$	3.69565	+	6.40106i	0.180545	+	0.312712i	−0.761522	+	0.648140i	$0.775547\pi$
$420$	20.9560	−	9.33021i	1.02255	−	0.455268i
$421$	−15.2796	+	7.78535i	−0.744683	+	0.379435i	−0.784791	−	0.619761i	$-0.787230\pi$
$421$	−15.2796	+	7.78535i	−0.744683	+	0.379435i	0.0401083	+	0.999195i	$0.487230\pi$
$422$	14.6181	+	22.5099i	0.711598	+	1.09576i
$423$	7.78884	+	6.30728i	0.378707	+	0.306671i
$424$	23.0795	+	3.65543i	1.12084	+	0.177523i
$425$	−1.42711	+	6.71404i	−0.0692252	+	0.325679i
$426$	−3.17888	+	0.675692i	−0.154017	+	0.0327374i
$427$	−10.4599	−	12.9168i	−0.506188	−	0.625090i
$428$	−32.2134			−1.55710
$429$	2.26711	+	11.7414i	0.109457	+	0.566880i
$430$	22.1272			1.06707
$431$	−4.48324	−	5.53634i	−0.215950	−	0.266676i	0.657647	−	0.753326i	$-0.271552\pi$
$431$	−4.48324	−	5.53634i	−0.215950	−	0.266676i	−0.873597	+	0.486650i	$0.838219\pi$
$432$	−4.75434	+	1.01057i	−0.228743	+	0.0486209i
$433$	−0.264606	+	1.24487i	−0.0127161	+	0.0598248i	−0.984048	−	0.177902i	$-0.943069\pi$
$433$	−0.264606	+	1.24487i	−0.0127161	+	0.0598248i	0.971332	+	0.237727i	$0.0764023\pi$
$434$	10.0167	+	1.58648i	0.480815	+	0.0761536i
$435$	−22.7633	−	18.4334i	−1.09142	−	0.883813i
$436$	40.2594	+	61.9940i	1.92807	+	2.96898i
$437$	−7.16087	+	3.64865i	−0.342551	+	0.174538i
$438$	32.1318	−	14.3060i	1.53532	−	0.683567i
$439$	11.8719	+	20.5628i	0.566616	+	0.981408i	0.996897	+	0.0787129i	$0.0250810\pi$
$439$	11.8719	+	20.5628i	0.566616	+	0.981408i	−0.430281	+	0.902695i	$0.641586\pi$
$440$	−10.7651	−	63.0879i	−0.513207	−	3.00760i
$441$		−	4.68139i		−	0.222923i
$442$	4.55674	−	5.88407i	0.216742	−	0.279877i
$443$	9.87434	−	30.3901i	0.469144	−	1.44388i	−0.384551	−	0.923104i	$-0.625644\pi$
$443$	9.87434	−	30.3901i	0.469144	−	1.44388i	0.853695	−	0.520773i	$-0.174356\pi$
$444$	2.27434	−	0.119193i	0.107936	−	0.00565666i
$445$	−10.4027	−	4.63157i	−0.493135	−	0.219558i
$446$	−3.17955	−	30.2514i	−0.150556	−	1.43245i
$447$	−0.301565	−	0.153655i	−0.0142635	−	0.00726764i
$448$	−9.36435	−	0.490765i	−0.442424	−	0.0231865i
$449$	−6.92548	+	18.0415i	−0.326834	+	0.851431i	0.667450	+	0.744655i	$0.267386\pi$
$449$	−6.92548	+	18.0415i	−0.326834	+	0.851431i	−0.994283	+	0.106776i	$0.965947\pi$
$450$	−14.4383	−	14.4383i	−0.680626	−	0.680626i
$451$	−14.7967	−	13.0068i	−0.696750	−	0.612465i
$452$	−22.9979	+	13.2778i	−1.08173	+	0.624537i
$453$	8.45337	−	6.84541i	0.397174	−	0.321625i
$454$	27.0930	+	8.80306i	1.27154	+	0.413148i
$455$	−10.3621	−	17.0796i	−0.485785	−	0.800704i
$456$	−6.22612	+	4.52354i	−0.291565	+	0.211834i
$457$	9.17948	−	3.52367i	0.429398	−	0.164830i	−0.134064	−	0.990973i	$-0.542803\pi$
$457$	9.17948	−	3.52367i	0.429398	−	0.164830i	0.563461	+	0.826142i	$0.309469\pi$
$458$	25.7877	+	23.2194i	1.20498	+	1.08497i
$459$	0.557379	+	0.619032i	0.0260162	+	0.0288939i
$460$	−13.0514	−	82.4031i	−0.608523	−	3.84206i
$461$	4.30184	+	16.0547i	0.200357	+	0.747741i	0.990815	+	0.135225i	$0.0431758\pi$
$461$	4.30184	+	16.0547i	0.200357	+	0.747741i	−0.790458	+	0.612516i	$0.790158\pi$
$462$	12.1255	+	3.09446i	0.564128	+	0.143967i
$463$	19.8721	−	19.8721i	0.923535	−	0.923535i	−0.0737425	−	0.997277i	$-0.523494\pi$
$463$	19.8721	−	19.8721i	0.923535	−	0.923535i	0.997277	+	0.0737425i	$0.0234943\pi$
$464$	−15.9142	−	35.7438i	−0.738797	−	1.65937i
$465$	−2.03342	−	9.56647i	−0.0942974	−	0.443635i
$466$	0.0939085	+	1.79188i	0.00435023	+	0.0830073i
$467$	−10.5740	−	14.5538i	−0.489305	−	0.673470i	0.490955	−	0.871185i	$-0.336648\pi$
$467$	−10.5740	−	14.5538i	−0.489305	−	0.673470i	−0.980260	+	0.197715i	$0.936648\pi$
$468$	4.92026	+	14.0933i	0.227439	+	0.651465i
$469$	8.21937	−	2.67064i	0.379535	−	0.123319i
$470$	−49.2172	+	75.7878i	−2.27022	+	3.49583i
$471$	−0.279795	+	2.66207i	−0.0128923	+	0.122662i
$472$	28.7175	−	49.7401i	1.32183	−	2.28948i
$473$	6.38604	+	5.04638i	0.293630	+	0.232033i
$474$	33.7825	−	9.05201i	1.55168	−	0.415772i
$475$	−11.1639	−	4.28544i	−0.512237	−	0.196629i
$476$	−2.38406	−	4.67897i	−0.109273	−	0.214460i
$477$	4.30999	+	0.916116i	0.197341	+	0.0419461i
$478$	−10.4564	+	23.4853i	−0.478262	+	1.07419i
$479$	12.6093	+	32.8483i	0.576133	+	1.50088i	0.843416	+	0.537261i	$0.180541\pi$
$479$	12.6093	+	32.8483i	0.576133	+	1.50088i	−0.267283	+	0.963618i	$0.586126\pi$
$480$	−1.61672	−	4.97577i	−0.0737930	−	0.227112i
$481$	−0.352763	−	1.95176i	−0.0160846	−	0.0889926i
$482$	−46.2851	−	33.6281i	−2.10823	−	1.53172i
$483$	8.14548	+	2.18258i	0.370632	+	0.0993106i
$484$	21.8235	−	39.9722i	0.991975	−	1.81692i
$485$	−58.7633	−	33.9270i	−2.66830	−	1.54055i
$486$	−2.44743	+	0.387634i	−0.111017	+	0.0175834i
$487$	−1.05767	+	20.1815i	−0.0479275	+	0.914511i	0.863830	+	0.503783i	$0.168059\pi$
$487$	−1.05767	+	20.1815i	−0.0479275	+	0.914511i	−0.911758	+	0.410728i	$0.865275\pi$
$488$	−48.5473	+	31.5270i	−2.19764	+	1.42716i
$489$	0.648697	−	4.09571i	0.0293351	−	0.185215i
$490$	41.9785	−	4.41212i	1.89639	−	0.199319i
$491$	−1.78573	+	1.98326i	−0.0805889	+	0.0895031i	−0.782091	−	0.623165i	$-0.785847\pi$
$491$	−1.78573	+	1.98326i	−0.0805889	+	0.0895031i	0.701502	+	0.712668i	$0.252513\pi$
$492$	−20.6250	−	13.3940i	−0.929847	−	0.603849i
$493$	−3.94133	+	5.42478i	−0.177509	+	0.244320i
$494$	8.88289	+	9.44441i	0.399660	+	0.424924i
$495$	−1.40456	−	11.9862i	−0.0631303	−	0.538741i
$496$	3.38128	−	12.6191i	0.151824	−	0.566615i
$497$	1.98613	+	0.208751i	0.0890903	+	0.00936376i
$498$	−5.72289	+	5.15291i	−0.256449	+	0.230908i
$499$	−6.85115	+	13.4461i	−0.306700	+	0.601932i	−0.991987	−	0.126341i	$-0.959677\pi$
$499$	−6.85115	+	13.4461i	−0.306700	+	0.601932i	0.685287	+	0.728273i	$0.259677\pi$
$500$	30.7195	−	37.9354i	1.37382	−	1.69652i
$501$	−10.5051	+	12.9727i	−0.469331	+	0.579576i
$502$	−28.2579	+	55.4593i	−1.26121	+	2.47527i
$503$	−16.0576	+	14.4583i	−0.715971	+	0.644664i	−0.944363	−	0.328906i	$-0.893320\pi$
$503$	−16.0576	+	14.4583i	−0.715971	+	0.644664i	0.228391	+	0.973569i	$0.426653\pi$
$504$	8.03087	+	0.844078i	0.357723	+	0.0375982i
$505$	14.2944	−	53.3474i	0.636092	−	2.37393i
$506$	22.2852	−	39.6849i	0.990697	−	1.76421i
$507$	11.6351	−	5.79858i	0.516735	−	0.257524i
$508$	−37.4783	+	51.5844i	−1.66283	+	2.28869i
$509$	−2.67606	−	1.73786i	−0.118614	−	0.0770291i	0.483968	−	0.875086i	$-0.339195\pi$
$509$	−2.67606	−	1.73786i	−0.118614	−	0.0770291i	−0.602583	+	0.798056i	$0.705862\pi$
$510$	−5.02560	+	5.58150i	−0.222537	+	0.247153i
$511$	−21.4953	+	2.25925i	−0.950896	+	0.0999432i
$512$	−6.97133	+	44.0153i	−0.308092	+	1.94522i
$513$	−1.21707	+	0.790378i	−0.0537352	+	0.0348960i
$514$	1.42094	−	27.1132i	0.0626752	−	1.19591i
$515$	50.4137	−	7.98475i	2.22149	−	0.351850i
$516$	8.79903	+	5.08012i	0.387356	+	0.223640i
$517$	−31.4888	+	10.6482i	−1.38487	+	0.468309i
$518$	−2.00485	−	0.537198i	−0.0880881	−	0.0236031i
$519$	6.37668	+	4.63293i	0.279905	+	0.203363i
$520$	−62.9301	+	29.6732i	−2.75967	+	1.30125i
$521$	−1.68597	−	5.18889i	−0.0738638	−	0.227329i	0.907308	−	0.420467i	$-0.138134\pi$
$521$	−1.68597	−	5.18889i	−0.0738638	−	0.227329i	−0.981172	+	0.193137i	$0.938134\pi$
$522$	−7.14832	−	18.6220i	−0.312873	−	0.815063i
$523$	2.23751	−	5.02553i	0.0978395	−	0.219751i	−0.857994	−	0.513660i	$-0.828289\pi$
$523$	2.23751	−	5.02553i	0.0978395	−	0.219751i	0.955834	+	0.293908i	$0.0949561\pi$
$524$	52.1143	+	11.0772i	2.27662	+	0.483912i
$525$	5.69640	+	11.1798i	0.248611	+	0.487927i
$526$	30.2600	+	11.6157i	1.31940	+	0.506469i
$527$	−2.16263	+	0.579476i	−0.0942058	+	0.0252424i
$528$	5.59718	−	15.1178i	0.243586	−	0.657916i
$529$	3.83516	−	6.64269i	0.166746	−	0.288812i
$530$	−4.15283	+	39.5115i	−0.180387	+	1.71627i
$531$	5.89863	−	9.08309i	0.255979	−	0.394172i
$532$	8.70086	−	2.82708i	0.377230	−	0.122570i
$533$	−9.30615	+	19.2894i	−0.403094	+	0.835518i
$534$	−4.55801	−	6.27357i	−0.197244	−	0.271484i
$535$	−1.48173	−	28.2731i	−0.0640608	−	1.22235i
$536$	−6.25794	−	29.4413i	−0.270302	−	1.27167i
$537$	−9.68422	−	21.7511i	−0.417905	−	0.938630i
$538$	−33.2692	+	33.2692i	−1.43434	+	1.43434i
$539$	13.1215	+	8.30036i	0.565183	+	0.357522i
$540$	−3.89907	−	14.5515i	−0.167789	−	0.626197i
$541$	−5.07947	−	32.0705i	−0.218383	−	1.37882i	−0.816471	−	0.577387i	$-0.804072\pi$
$541$	−5.07947	−	32.0705i	−0.218383	−	1.37882i	0.598087	−	0.801431i	$-0.295928\pi$
$542$	7.65493	+	8.50166i	0.328807	+	0.365178i
$543$	4.81891	+	4.33897i	0.206799	+	0.186203i
$544$	−1.11814	+	0.429214i	−0.0479399	+	0.0184024i
$545$	−52.5591	+	38.1864i	−2.25138	+	1.63573i
$546$	−0.295611	−	13.6011i	−0.0126510	−	0.582071i
$547$	−12.2405	−	3.97719i	−0.523367	−	0.170052i	0.0354058	−	0.999373i	$-0.488728\pi$
$547$	−12.2405	−	3.97719i	−0.523367	−	0.170052i	−0.558773	+	0.829321i	$0.688728\pi$
$548$	72.2023	−	58.4683i	3.08433	−	2.49764i
$549$	−9.45302	+	5.45770i	−0.403445	+	0.232929i
$550$	66.0689	−	14.8693i	2.81719	−	0.634028i
$551$	−8.26030	−	8.26030i	−0.351901	−	0.351901i
$552$	10.5250	−	27.4186i	0.447974	−	1.16701i
$553$	−21.4623	−	1.12479i	−0.912672	−	0.0478311i
$554$	−9.64604	−	4.91490i	−0.409821	−	0.208814i
$555$	0.209227	+	1.99066i	0.00888119	+	0.0844989i
$556$	12.0487	+	5.36441i	0.510977	+	0.227502i
$557$	2.28347	−	0.119672i	0.0967539	−	0.00507066i	−0.00389756	−	0.999992i	$-0.501241\pi$
$557$	2.28347	−	0.119672i	0.0967539	−	0.00507066i	0.100651	+	0.994922i	$0.467907\pi$
$558$	2.05812	−	6.33425i	0.0871273	−	0.268150i
$559$	3.42243	−	8.15962i	0.144753	−	0.345115i
$560$			26.9307i			1.13803i
$561$	−2.72335	+	0.464704i	−0.114980	+	0.0196198i
$562$	16.4098	+	28.4226i	0.692206	+	1.19894i
$563$	−11.7450	+	5.22920i	−0.494992	+	0.220385i	−0.639022	−	0.769189i	$-0.720661\pi$
$563$	−11.7450	+	5.22920i	−0.494992	+	0.220385i	0.144030	+	0.989573i	$0.453994\pi$
$564$	−36.9715	+	18.8379i	−1.55678	+	0.793221i
$565$	−12.7115	−	19.5740i	−0.534778	−	0.823486i
$566$	29.4713	+	23.8654i	1.23877	+	1.00314i
$567$	1.50395	+	0.238202i	0.0631600	+	0.0100036i
$568$	1.44608	−	6.80329i	0.0606763	−	0.285460i
$569$	40.9293	−	8.69980i	1.71585	−	0.364714i	0.758058	−	0.652187i	$-0.226148\pi$
$569$	40.9293	−	8.69980i	1.71585	−	0.364714i	0.957789	+	0.287473i	$0.0928152\pi$
$570$	−8.23446	−	10.1687i	−0.344904	−	0.425921i
$571$	−20.8613			−0.873018			−0.436509	−	0.899700i	$-0.643785\pi$
$571$	−20.8613			−0.873018			−0.436509	+	0.899700i	$0.643785\pi$
$572$	−48.2262	−	11.1972i	−2.01644	−	0.468179i
$573$	−11.9060			−0.497378
$574$	14.1046	+	17.4178i	0.588715	+	0.727003i
$575$	44.6379	−	9.48808i	1.86153	−	0.395680i
$576$	−1.28038	+	6.02371i	−0.0533491	+	0.250988i
$577$	20.4846	+	3.24444i	0.852785	+	0.135068i	0.567498	−	0.823375i	$-0.307911\pi$
$577$	20.4846	+	3.24444i	0.852785	+	0.135068i	0.285286	+	0.958442i	$0.407911\pi$
$578$	−31.4010	−	25.4280i	−1.30611	−	1.05767i
$579$	−5.54880	−	8.54441i	−0.230600	−	0.355093i
$580$	108.051	−	55.0549i	4.48659	−	2.28603i
$581$	4.32311	−	1.92477i	0.179353	−	0.0798530i
$582$	−23.1040	−	40.0173i	−0.957691	−	1.65877i
$583$	−10.2096	+	10.4562i	−0.422839	+	0.433050i
$584$			75.2748i			3.11489i
$585$	−12.1431	+	4.96667i	−0.502056	+	0.205346i
$586$	−14.5391	+	44.7467i	−0.600603	+	1.84847i
$587$	7.60518	−	0.398571i	0.313899	−	0.0164508i	0.105264	−	0.994444i	$-0.466431\pi$
$587$	7.60518	−	0.398571i	0.313899	−	0.0164508i	0.208635	+	0.977994i	$0.433098\pi$
$588$	17.7060	+	7.88323i	0.730185	+	0.325099i
$589$	−0.407718	−	3.87918i	−0.0167997	−	0.159839i
$590$	87.0083	+	44.3329i	3.58207	+	1.82516i
$591$	−4.42463	−	0.231885i	−0.182005	−	0.00953848i
$592$	−0.958187	+	2.49616i	−0.0393812	+	0.102592i
$593$	−2.65737	−	2.65737i	−0.109125	−	0.109125i	0.650436	−	0.759561i	$-0.274586\pi$
$593$	−2.65737	−	2.65737i	−0.109125	−	0.109125i	−0.759561	+	0.650436i	$0.774586\pi$
$594$	3.25291	−	7.54720i	0.133469	−	0.309665i
$595$	3.99698	−	2.30766i	0.163860	−	0.0946048i
$596$	1.08898	−	0.881837i	0.0446063	−	0.0361214i
$597$	−10.1598	−	3.30111i	−0.415811	−	0.135105i
$598$	−48.0600	−	11.7646i	−1.96532	−	0.481089i
$599$	−24.5498	+	17.8365i	−1.00308	+	0.728779i	−0.962746	−	0.270408i	$-0.912842\pi$
$599$	−24.5498	+	17.8365i	−1.00308	+	0.728779i	−0.0403319	+	0.999186i	$0.512842\pi$
$600$	40.7968	−	15.6604i	1.66552	−	0.639334i
$601$	−19.1166	−	17.2127i	−0.779784	−	0.702120i	0.179751	−	0.983712i	$-0.442471\pi$
$601$	−19.1166	−	17.2127i	−0.779784	−	0.702120i	−0.959534	+	0.281592i	$0.909138\pi$
$602$	−6.19587	−	6.88121i	−0.252525	−	0.280457i
$603$	−0.887873	−	5.60581i	−0.0361570	−	0.228286i
$604$	11.6557	+	43.4998i	0.474266	+	1.76998i
$605$	36.0867	+	17.3154i	1.46713	+	0.703971i
$606$	26.5947	−	26.5947i	1.08034	−	1.08034i
$607$	−6.40090	−	14.3767i	−0.259805	−	0.583531i	0.735799	−	0.677200i	$-0.236807\pi$
$607$	−6.40090	−	14.3767i	−0.259805	−	0.583531i	−0.995603	+	0.0936696i	$0.970140\pi$
$608$	−0.433821	−	2.04097i	−0.0175938	−	0.0827721i
$609$	0.641503	+	12.2406i	0.0259950	+	0.496015i
$610$	−57.8490	−	79.6224i	−2.34224	−	3.22382i
$611$	20.3351	+	29.8715i	0.822668	+	1.20847i
$612$	−3.27991	+	1.06571i	−0.132583	+	0.0430787i
$613$	2.32322	−	3.57745i	0.0938341	−	0.144492i	−0.788636	−	0.614860i	$-0.789212\pi$
$613$	2.32322	−	3.57745i	0.0938341	−	0.144492i	0.882470	+	0.470369i	$0.155879\pi$
$614$	−4.56511	+	43.4342i	−0.184233	+	1.75286i
$615$	10.8070	−	18.7182i	0.435779	−	0.754792i
$616$	−16.6050	+	21.0132i	−0.669036	+	0.846645i
$617$	11.4180	−	3.05943i	0.459670	−	0.123168i	−0.0215506	−	0.999768i	$-0.506860\pi$
$617$	11.4180	−	3.05943i	0.459670	−	0.123168i	0.481221	+	0.876600i	$0.340194\pi$
$618$	32.4506	+	12.4566i	1.30535	+	0.501078i
$619$	−2.71725	−	5.33290i	−0.109215	−	0.214347i	0.829930	−	0.557868i	$-0.188380\pi$
$619$	−2.71725	−	5.33290i	−0.109215	−	0.214347i	−0.939145	+	0.343521i	$0.888380\pi$
$620$	39.6066	+	8.41865i	1.59064	+	0.338101i
$621$	2.25254	−	5.05929i	0.0903913	−	0.203022i
$622$	−1.78421	−	4.64803i	−0.0715404	−	0.186369i
$623$	1.47253	+	4.53197i	0.0589956	+	0.181570i
$624$	−17.4647	−	1.45271i	−0.699146	−	0.0581549i
$625$	1.37567	+	0.999481i	0.0550267	+	0.0399793i
$626$	−66.4524	−	17.8059i	−2.65597	−	0.711665i
$627$	−0.0574151	−	4.81273i	−0.00229294	−	0.192202i
$628$	−9.59737	−	5.54104i	−0.382977	−	0.221112i
$629$	0.452579	−	0.0716815i	0.0180455	−	0.00285813i
$630$	−0.718541	+	13.7106i	−0.0286274	+	0.546243i
$631$	−8.85646	+	5.75145i	−0.352570	+	0.228962i	−0.708756	−	0.705453i	$-0.750743\pi$
$631$	−8.85646	+	5.75145i	−0.352570	+	0.228962i	0.356186	+	0.934415i	$0.384077\pi$
$632$	−11.7092	+	73.9287i	−0.465765	+	2.94073i
$633$	−10.7723	+	1.13221i	−0.428159	+	0.0450013i
$634$	−37.5829	+	41.7400i	−1.49261	+	1.65771i
$635$	−46.9985	−	30.5212i	−1.86508	−	1.21120i
$636$	−10.7228	+	14.7586i	−0.425185	+	0.585217i
$637$	4.86585	−	16.1624i	0.192792	−	0.640378i
$638$	64.8701	+	12.9817i	2.56823	+	0.513952i
$639$	0.339450	−	1.26685i	0.0134285	−	0.0501157i
$640$	−65.6282	−	6.89781i	−2.59418	−	0.272660i
$641$	−0.344469	+	0.310161i	−0.0136057	+	0.0122506i	−0.675905	−	0.736988i	$-0.736247\pi$
$641$	−0.344469	+	0.310161i	−0.0136057	+	0.0122506i	0.662300	+	0.749239i	$0.269581\pi$
$642$	8.75300	−	17.1787i	0.345453	−	0.677991i
$643$	−22.0269	+	27.2009i	−0.868654	+	1.07270i	0.128065	+	0.991766i	$0.459123\pi$
$643$	−22.0269	+	27.2009i	−0.868654	+	1.07270i	−0.996720	+	0.0809330i	$0.974210\pi$
$644$	−21.9716	+	27.1326i	−0.865801	+	1.06918i
$645$	−4.05399	+	7.95641i	−0.159626	+	0.313283i
$646$	−2.22602	+	2.00431i	−0.0875815	+	0.0788587i
$647$	20.8024	+	2.18643i	0.817829	+	0.0859572i	0.504198	−	0.863588i	$-0.331788\pi$
$647$	20.8024	+	2.18643i	0.817829	+	0.0859572i	0.313630	+	0.949545i	$0.398455\pi$
$648$	1.37256	−	5.12245i	0.0539191	−	0.201229i
$649$	15.0005	+	32.6381i	0.588820	+	1.28116i
$650$	−34.8407	−	64.8550i	−1.36656	−	2.54382i
$651$	−2.40565	+	3.31109i	−0.0942847	+	0.129772i
$652$	14.3985	+	9.35050i	0.563889	+	0.366194i
$653$	5.56654	−	6.18227i	0.217836	−	0.241931i	−0.624316	−	0.781172i	$-0.714622\pi$
$653$	5.56654	−	6.18227i	0.217836	−	0.241931i	0.842152	+	0.539241i	$0.181289\pi$
$654$	−43.9993	+	4.62452i	−1.72051	+	0.180833i
$655$	−7.32516	+	46.2492i	−0.286218	+	1.80711i
$656$	24.2138	−	15.7246i	0.945391	−	0.613944i
$657$	−0.742874	+	14.1749i	−0.0289823	+	0.553015i
$658$	37.3503	−	5.91570i	1.45607	−	0.230618i
$659$	26.8475	+	15.5004i	1.04583	+	0.603809i	0.921479	−	0.388429i	$-0.126982\pi$
$659$	26.8475	+	15.5004i	1.04583	+	0.603809i	0.124350	+	0.992238i	$0.460316\pi$
$660$	47.6998	+	14.8719i	1.85671	+	0.578888i
$661$	13.9882	+	3.74812i	0.544077	+	0.145785i	0.520381	−	0.853934i	$-0.325790\pi$
$661$	13.9882	+	3.74812i	0.544077	+	0.145785i	0.0236960	+	0.999719i	$0.492457\pi$
$662$	47.2807	+	34.3514i	1.83762	+	1.33511i
$663$	1.28092	+	2.71654i	0.0497467	+	0.105502i
$664$	−5.09294	−	15.6745i	−0.197645	−	0.608287i
$665$	2.88149	+	7.50653i	0.111739	+	0.291091i
$666$	−0.554419	+	1.24525i	−0.0214833	+	0.0482523i
$667$	43.6062	+	9.26879i	1.68844	+	0.358889i
$668$	−31.3754	−	61.5777i	−1.21395	−	2.38251i
$669$	11.4602	+	4.39917i	0.443078	+	0.170082i
$670$	49.4311	−	13.2450i	1.90969	−	0.511699i
$671$	1.46328	−	36.1727i	0.0564894	−	1.39643i
$672$	−1.09469	+	1.89605i	−0.0422284	+	0.0731418i
$673$	−1.38849	+	13.2106i	−0.0535222	+	0.509230i	0.934616	+	0.355660i	$0.115744\pi$
$673$	−1.38849	+	13.2106i	−0.0535222	+	0.509230i	−0.988138	+	0.153570i	$0.950923\pi$
$674$	26.1453	−	40.2602i	1.00708	−	1.55076i
$675$	7.83694	−	2.54638i	0.301644	−	0.0980101i
$676$	2.33847	+	53.7712i	0.0899412	+	2.06812i
$677$	−4.24565	−	5.84363i	−0.163174	−	0.224589i	0.719599	−	0.694390i	$-0.244326\pi$
$677$	−4.24565	−	5.84363i	−0.163174	−	0.224589i	−0.882772	+	0.469801i	$0.844326\pi$
$678$	−0.831822	−	15.8721i	−0.0319459	−	0.609565i
$679$	5.90364	+	27.7745i	0.226561	+	1.06589i
$680$	−6.53785	−	14.6843i	−0.250715	−	0.563116i
$681$	−8.12918	+	8.12918i	−0.311511	+	0.311511i
$682$	14.1051	+	16.9997i	0.540114	+	0.650952i
$683$	3.92813	+	14.6600i	0.150306	+	0.560949i	0.999462	+	0.0328068i	$0.0104446\pi$
$683$	3.92813	+	14.6600i	0.150306	+	0.560949i	−0.849156	+	0.528142i	$0.822889\pi$
$684$	−0.939885	−	5.93420i	−0.0359374	−	0.226900i
$685$	54.6376	+	60.6812i	2.08759	+	2.31851i
$686$	−32.7545	−	29.4923i	−1.25057	−	1.12602i
$687$	−13.0738	+	5.01856i	−0.498796	+	0.191470i
$688$	−9.65010	+	7.01120i	−0.367906	+	0.267300i
$689$	13.9279	+	7.64269i	0.530613	+	0.291163i
$690$	47.4901	+	15.4305i	1.80792	+	0.587428i
$691$	−23.0539	+	18.6687i	−0.877012	+	0.710191i	−0.958075	−	0.286518i	$-0.907502\pi$
$691$	−23.0539	+	18.6687i	−0.877012	+	0.710191i	0.0810623	+	0.996709i	$0.474169\pi$
$692$	−28.2608	+	16.3164i	−1.07431	+	0.620255i
$693$	−3.33425	+	3.79309i	−0.126658	+	0.144088i
$694$	−26.5322	−	26.5322i	−1.00715	−	1.00715i
$695$	−4.15403	+	10.8216i	−0.157571	+	0.410487i
$696$	42.6308	+	2.23419i	1.61592	+	0.0846866i
$697$	−4.40866	−	2.24632i	−0.166990	−	0.0850856i
$698$	−5.39786	−	51.3572i	−0.204312	−	1.94390i
$699$	−0.661524	−	0.294529i	−0.0250211	−	0.0111401i
$700$	−51.8770	+	2.71876i	−1.96077	+	0.102759i
$701$	1.64593	−	5.06566i	0.0621660	−	0.191327i	−0.915150	−	0.403113i	$-0.867928\pi$
$701$	1.64593	−	5.06566i	0.0621660	−	0.191327i	0.977316	+	0.211786i	$0.0679280\pi$
$702$	−8.85260	−	1.20556i	−0.334120	−	0.0455009i
$703$			0.798290i			0.0301081i
$704$	−14.6137	−	14.2691i	−0.550775	−	0.537788i
$705$	−18.2343	−	31.5827i	−0.686742	−	1.18947i
$706$	3.14993	−	1.40244i	0.118549	−	0.0527814i
$707$	−20.5928	+	10.4926i	−0.774473	+	0.394614i
$708$	24.4212	+	37.6054i	0.917805	+	1.41330i
$709$	15.5358	+	12.5807i	0.583461	+	0.472477i	0.875027	−	0.484073i	$-0.160843\pi$
$709$	15.5358	+	12.5807i	0.583461	+	0.472477i	−0.291567	+	0.956550i	$0.594177\pi$
$710$	11.6799	+	1.84991i	0.438337	+	0.0694258i
$711$	−2.93453	+	13.8059i	−0.110053	+	0.517760i
$712$	16.2333	−	3.45049i	0.608367	−	0.129312i
$713$	9.36764	+	11.5681i	0.350821	+	0.433228i
$714$	3.14299			0.117623
$715$	7.60930	−	42.8422i	0.284572	−	1.60221i
$716$	98.5752			3.68393
$717$	−6.52904	−	8.06269i	−0.243831	−	0.301107i
$718$	45.1018	−	9.58669i	1.68319	−	0.357772i
$719$	2.45627	−	11.5558i	0.0916033	−	0.430960i	−0.908316	−	0.418284i	$-0.862632\pi$
$719$	2.45627	−	11.5558i	0.0916033	−	0.430960i	0.999920	−	0.0126759i	$-0.00403496\pi$
$720$	17.4684	+	2.76673i	0.651010	+	0.103110i
$721$	−16.5996	−	13.4421i	−0.618201	−	0.500609i
$722$	22.7998	+	35.1087i	0.848522	+	1.30661i
$723$	20.5719	−	10.4819i	0.765078	−	0.389827i
$724$	−24.5257	+	10.9196i	−0.911492	+	0.405822i
$725$	33.1662	+	57.4455i	1.23176	+	2.13347i
$726$	15.3865	+	22.4992i	0.571046	+	0.835024i
$727$		−	8.95660i		−	0.332182i	−0.986110	−	0.166091i	$-0.946885\pi$
$727$		−	8.95660i		−	0.332182i	0.986110	−	0.166091i	$-0.0531145\pi$
$728$	26.8491	+	11.2615i	0.995094	+	0.417378i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−127.808	+	6.69812i	−4.73038	+	0.247909i
$731$	1.86749	+	0.831459i	0.0690715	+	0.0307526i
$732$	−4.72379	−	44.9439i	−0.174596	−	1.66117i
$733$	8.54423	+	4.35350i	0.315588	+	0.160800i	0.604609	−	0.796523i	$-0.293330\pi$
$733$	8.54423	+	4.35350i	0.315588	+	0.160800i	−0.289020	+	0.957323i	$0.593330\pi$
$734$	−7.79480	−	0.408508i	−0.287711	−	0.0150783i
$735$	−6.10453	+	15.9028i	−0.225169	+	0.586585i
$736$	5.63054	+	5.63054i	0.207544	+	0.207544i
$737$	17.2868	+	7.45078i	0.636768	+	0.274453i
$738$	12.7470	−	7.35946i	0.469222	−	0.270905i
$739$	8.88368	−	7.19386i	0.326791	−	0.264630i	−0.451858	−	0.892090i	$-0.649239\pi$
$739$	8.88368	−	7.19386i	0.326791	−	0.264630i	0.778649	+	0.627460i	$0.215905\pi$
$740$	−7.88144	−	2.56084i	−0.289728	−	0.0941382i
$741$	−5.02345	+	1.46374i	−0.184541	+	0.0537717i
$742$	13.4503	−	9.77223i	0.493777	−	0.358750i
$743$	6.09473	−	2.33955i	0.223594	−	0.0858297i	−0.243992	−	0.969777i	$-0.578457\pi$
$743$	6.09473	−	2.33955i	0.223594	−	0.0858297i	0.467586	+	0.883948i	$0.345124\pi$
$744$	10.5927	+	9.53772i	0.388348	+	0.349670i
$745$	0.824060	+	0.915212i	0.0301912	+	0.0335308i
$746$	4.76845	+	30.1068i	0.174585	+	1.10229i
$747$	−0.804356	−	3.00190i	−0.0294299	−	0.109834i
$748$	2.82838	−	11.0828i	0.103416	−	0.405229i
$749$	−8.37760	+	8.37760i	−0.306111	+	0.306111i
$750$	11.8831	+	26.6898i	0.433909	+	0.974574i
$751$	−3.19918	−	15.0510i	−0.116740	−	0.549218i	−0.997179	−	0.0750588i	$-0.976086\pi$
$751$	−3.19918	−	15.0510i	−0.116740	−	0.549218i	0.880439	−	0.474159i	$-0.157248\pi$
$752$	−2.54951	−	48.6475i	−0.0929710	−	1.77399i
$753$	−14.7646	−	20.3218i	−0.538053	−	0.740567i
$754$	−5.32370	−	71.7221i	−0.193878	−	2.61197i
$755$	−37.6428	+	12.2309i	−1.36996	+	0.445127i
$756$	−3.43351	+	5.28715i	−0.124876	+	0.192292i
$757$	3.71025	−	35.3007i	0.134851	−	1.28302i	−0.692532	−	0.721387i	$-0.743505\pi$
$757$	3.71025	−	35.3007i	0.134851	−	1.28302i	0.827384	−	0.561637i	$-0.189828\pi$
$758$	−14.8301	+	25.6865i	−0.538654	+	0.932976i
$759$	10.1868	+	15.2840i	0.369759	+	0.554776i
$760$	27.0490	−	7.24777i	0.981172	−	0.262904i
$761$	−39.2701	−	15.0744i	−1.42354	−	0.546446i	−0.479872	−	0.877338i	$-0.659317\pi$
$761$	−39.2701	−	15.0744i	−1.42354	−	0.546446i	−0.943669	+	0.330892i	$0.892650\pi$
$762$	−17.3253	−	34.0028i	−0.627629	−	1.23179i
$763$	26.5926	+	5.65243i	0.962716	+	0.204632i
$764$	20.0490	−	45.0309i	0.725349	−	1.62916i
$765$	−1.08622	−	2.82969i	−0.0392723	−	0.102308i
$766$	−28.5827	−	87.9684i	−1.03273	−	3.17843i
$767$	29.8059	−	25.2282i	1.07623	−	0.910936i
$768$	−26.3917	−	19.1747i	−0.952327	−	0.691906i
$769$	−21.7084	−	5.81675i	−0.782825	−	0.209757i	−0.154795	−	0.987947i	$-0.549472\pi$
$769$	−21.7084	−	5.81675i	−0.782825	−	0.209757i	−0.628030	+	0.778189i	$0.716138\pi$
$770$	−37.1555	−	26.3236i	−1.33899	−	0.948637i
$771$	9.48895	+	5.47845i	0.341736	+	0.197301i
$772$	41.6607	−	6.59841i	1.49940	−	0.237482i
$773$	0.620408	−	11.8381i	0.0223145	−	0.425787i	−0.964516	−	0.264026i	$-0.914949\pi$
$773$	0.620408	−	11.8381i	0.0223145	−	0.425787i	0.986830	−	0.161761i	$-0.0517172\pi$
$774$	−5.09999	+	3.31197i	−0.183315	+	0.119046i
$775$	−3.46475	+	21.8756i	−0.124458	+	0.785794i
$776$	98.3504	−	10.3370i	3.53057	−	0.371078i
$777$	0.560480	−	0.622476i	0.0201071	−	0.0223312i
$778$	−50.6066	−	32.8643i	−1.81433	−	1.17824i
$779$	5.06676	−	6.97380i	0.181536	−	0.249862i
$780$	1.66341	−	54.2916i	0.0595597	−	1.94395i
$781$	2.94899	+	3.19763i	0.105523	+	0.114420i
$782$	2.95859	−	11.0416i	0.105799	−	0.394847i
$783$	8.00570	+	0.841433i	0.286100	+	0.0300704i
$784$	−16.9096	+	15.2255i	−0.603915	+	0.543768i
$785$	4.42181	−	8.67829i	0.157821	−	0.309741i
$786$	−20.0677	+	24.7816i	−0.715791	+	0.883929i
$787$	18.5118	−	22.8601i	0.659873	−	0.814875i	−0.331842	−	0.943335i	$-0.607670\pi$
$787$	18.5118	−	22.8601i	0.659873	−	0.814875i	0.991715	+	0.128460i	$0.0410034\pi$
$788$	8.32791	−	16.3444i	0.296669	−	0.582247i
$789$	−9.72077	+	8.75262i	−0.346068	+	0.311601i
$790$	−126.564	−	13.3024i	−4.50295	−	0.473279i
$791$	−2.52785	+	9.43406i	−0.0898799	+	0.335436i
$792$	11.9241	+	12.9295i	0.423706	+	0.459431i
$793$	−38.3091	+	9.01714i	−1.36040	+	0.320208i
$794$	20.8242	−	28.6621i	0.739025	−	1.01718i
$795$	−13.4466	−	8.73229i	−0.476900	−	0.309703i
$796$	29.5941	−	32.8675i	1.04893	−	1.16496i
$797$	−40.7035	+	4.27811i	−1.44179	+	0.151538i	−0.792904	−	0.609346i	$-0.791432\pi$
$797$	−40.7035	+	4.27811i	−1.44179	+	0.151538i	−0.648887	+	0.760885i	$0.724765\pi$
$798$	−0.856568	+	5.40816i	−0.0303222	+	0.191447i
$799$	−7.00167	+	4.54694i	−0.247701	+	0.160859i
$800$	−0.620077	+	11.8318i	−0.0219230	+	0.418317i
$801$	3.09092	−	0.489553i	0.109212	−	0.0172975i
$802$	−83.8635	−	48.4186i	−2.96132	−	1.70972i
$803$	−38.4137	−	27.2150i	−1.35559	−	0.960398i
$804$	22.6975	+	6.08178i	0.800480	+	0.214488i
$805$	−24.8244	−	18.0360i	−0.874945	−	0.635685i
$806$	13.6895	−	19.7297i	0.482191	−	0.694948i
$807$	−5.86745	−	18.0582i	−0.206544	−	0.635677i
$808$	28.8459	+	75.1462i	1.01480	+	2.64363i
$809$	4.92655	−	11.0652i	0.173208	−	0.389032i	−0.805992	−	0.591926i	$-0.798368\pi$
$809$	4.92655	−	11.0652i	0.173208	−	0.389032i	0.979201	+	0.202893i	$0.0650345\pi$
$810$	8.81946	+	1.87463i	0.309884	+	0.0658679i
$811$	2.58508	+	5.07351i	0.0907745	+	0.178155i	0.931930	−	0.362639i	$-0.118124\pi$
$811$	2.58508	+	5.07351i	0.0907745	+	0.178155i	−0.841155	+	0.540794i	$0.818124\pi$
$812$	−47.3769	−	18.1863i	−1.66260	−	0.638214i
$813$	−4.45948	+	1.19491i	−0.156401	+	0.0419075i
$814$	−2.50729	−	3.76187i	−0.0878805	−	0.131853i
$815$	−7.54445	+	13.0674i	−0.264271	+	0.457730i
$816$	0.423214	−	4.02661i	0.0148155	−	0.140960i
$817$	−1.93965	+	2.98679i	−0.0678597	+	0.104495i
$818$	−30.0398	+	9.76053i	−1.05032	+	0.341269i
$819$	4.94478	+	2.38560i	0.172785	+	0.0833596i
$820$	52.5980	+	72.3949i	1.83680	+	2.52814i
$821$	−0.947265	−	18.0749i	−0.0330598	−	0.630818i	−0.964041	−	0.265752i	$-0.914380\pi$
$821$	−0.947265	−	18.0749i	−0.0330598	−	0.630818i	0.930982	−	0.365066i	$-0.118954\pi$
$822$	11.5611	+	54.3909i	0.403241	+	1.89710i
$823$	3.07667	+	6.91030i	0.107246	+	0.240878i	0.959194	−	0.282747i	$-0.0912458\pi$
$823$	3.07667	+	6.91030i	0.107246	+	0.240878i	−0.851949	+	0.523625i	$0.824579\pi$
$824$	−52.6017	+	52.6017i	−1.83247	+	1.83247i
$825$	−6.75806	+	26.4811i	−0.235286	+	0.921952i
$826$	−10.5765	−	39.4720i	−0.368003	−	1.37341i
$827$	4.89547	+	30.9088i	0.170232	+	1.07480i	0.913806	+	0.406150i	$0.133129\pi$
$827$	4.89547	+	30.9088i	0.170232	+	1.07480i	−0.743574	+	0.668653i	$0.766871\pi$
$828$	15.3422	+	17.0392i	0.533177	+	0.592153i
$829$	18.2220	+	16.4071i	0.632875	+	0.569843i	0.921876	−	0.387486i	$-0.126656\pi$
$829$	18.2220	+	16.4071i	0.632875	+	0.569843i	−0.289001	+	0.957329i	$0.593323\pi$
$830$	26.1602	−	10.0420i	0.908035	−	0.348562i
$831$	3.53457	−	2.56801i	0.122613	−	0.0890834i
$832$	−10.6815	+	19.4659i	−0.370316	+	0.674859i
$833$	3.70869	+	1.20503i	0.128499	+	0.0417517i
$834$	−6.13457	+	4.96768i	−0.212423	+	0.172017i
$835$	52.6023	−	30.3700i	1.82038	−	1.05100i
$836$	18.2995	+	7.88724i	0.632900	+	0.272786i
$837$	1.90057	+	1.90057i	0.0656934	+	0.0656934i
$838$	6.56357	−	17.0987i	0.226735	−	0.590664i
$839$	−43.8599	−	2.29860i	−1.51421	−	0.0793565i	−0.722979	−	0.690870i	$-0.757228\pi$
$839$	−43.8599	−	2.29860i	−1.51421	−	0.0793565i	−0.791234	+	0.611513i	$0.790561\pi$
$840$	−26.1804	−	13.3396i	−0.903311	−	0.460260i
$841$	3.74204	+	35.6031i	0.129036	+	1.22769i
$842$	38.8196	+	17.2836i	1.33781	+	0.595632i
$843$	−13.2266	+	0.693177i	−0.455548	+	0.0238743i
$844$	13.8577	−	42.6496i	0.477002	−	1.46806i
$845$	−47.0863	+	4.52575i	−1.61982	+	0.155691i
$846$		−	24.8348i		−	0.853837i
$847$	−4.71987	−	16.0709i	−0.162177	−	0.552204i
$848$	−10.7085	−	18.5476i	−0.367730	−	0.636928i
$849$	−13.9810	+	6.22473i	−0.479826	+	0.213632i
$850$	15.1548	−	7.72176i	0.519805	−	0.264854i
$851$	−1.65922	−	2.55497i	−0.0568772	−	0.0875832i
$852$	4.21987	+	3.41718i	0.144570	+	0.117071i
$853$	25.9463	+	4.10950i	0.888385	+	0.140706i	0.583914	−	0.811815i	$-0.301520\pi$
$853$	25.9463	+	4.10950i	0.888385	+	0.140706i	0.304471	+	0.952522i	$0.401520\pi$
$854$	−8.56293	+	40.2854i	−0.293017	+	1.37854i
$855$	5.16509	−	1.09787i	0.176642	−	0.0375465i
$856$	25.9673	+	32.0669i	0.887544	+	1.09603i
$857$	−8.63480			−0.294959			−0.147480	−	0.989065i	$-0.547116\pi$
$857$	−8.63480			−0.294959			−0.147480	+	0.989065i	$0.547116\pi$
$858$	19.0752	−	22.6755i	0.651217	−	0.774129i
$859$	−13.5711			−0.463039			−0.231520	−	0.972830i	$-0.574370\pi$
$859$	−13.5711			−0.463039			−0.231520	+	0.972830i	$0.574370\pi$
$860$	−23.2661	−	28.7313i	−0.793369	−	0.979729i
$861$	−8.84717	+	1.88052i	−0.301511	+	0.0640881i
$862$	−3.67019	+	17.2669i	−0.125007	+	0.588112i
$863$	0.0964759	+	0.0152803i	0.00328408	+	0.000520147i	0.158076	−	0.987427i	$-0.449471\pi$
$863$	0.0964759	+	0.0152803i	0.00328408	+	0.000520147i	−0.154792	+	0.987947i	$0.549471\pi$
$864$	1.11740	+	0.904852i	0.0380147	+	0.0307837i
$865$	−15.6205	−	24.0534i	−0.531112	−	0.817840i
$866$	2.80990	−	1.43172i	0.0954843	−	0.0486517i
$867$	14.8964	−	6.63230i	0.505908	−	0.225245i
$868$	−8.47227	−	14.6744i	−0.287567	−	0.498081i
$869$	−33.4934	−	32.7037i	−1.13619	−	1.10940i
$870$			72.5809i			2.46072i
$871$	2.76132	−	20.2768i	0.0935639	−	0.687054i
$872$	29.2589	−	90.0498i	0.990833	−	3.04947i
$873$	18.6222	−	0.975950i	0.630267	−	0.0330309i
$874$	18.1930	+	8.10005i	0.615388	+	0.273988i
$875$	−1.87661	−	17.8548i	−0.0634410	−	0.603601i
$876$	−52.3615	−	26.6795i	−1.76913	−	0.901418i
$877$	37.9478	+	1.98876i	1.28141	+	0.0671557i	0.680848	−	0.732425i	$-0.261611\pi$
$877$	37.9478	+	1.98876i	1.28141	+	0.0671557i	0.600559	+	0.799580i	$0.294945\pi$
$878$	21.0848	−	54.9278i	0.711578	−	1.85372i
$879$	−13.4261	−	13.4261i	−0.452851	−	0.452851i
$880$	−38.7273	+	44.0568i	−1.30550	+	1.48515i
$881$	−23.7353	+	13.7036i	−0.799661	+	0.461685i	−0.843353	−	0.537361i	$-0.819421\pi$
$881$	−23.7353	+	13.7036i	−0.799661	+	0.461685i	0.0436915	+	0.999045i	$0.486088\pi$
$882$	−9.01503	+	7.30022i	−0.303552	+	0.245811i
$883$	−11.4641	−	3.72493i	−0.385799	−	0.125354i	0.109694	−	0.993965i	$-0.465013\pi$
$883$	−11.4641	−	3.72493i	−0.385799	−	0.125354i	−0.495494	+	0.868612i	$0.665013\pi$
$884$	−12.4315	+	0.270192i	−0.418118	+	0.00908754i
$885$	−31.8822	+	23.1638i	−1.07171	+	0.778641i
$886$	−73.9208	+	28.3756i	−2.48342	+	0.953295i
$887$	−2.63060	−	2.36861i	−0.0883270	−	0.0795300i	0.623784	−	0.781596i	$-0.285594\pi$
$887$	−2.63060	−	2.36861i	−0.0883270	−	0.0795300i	−0.712112	+	0.702066i	$0.752261\pi$
$888$	−1.95200	−	2.16792i	−0.0655049	−	0.0727505i
$889$	3.66852	+	23.1621i	0.123038	+	0.776832i
$890$	7.30300	+	27.2552i	0.244797	+	0.913595i
$891$	2.11782	+	2.55242i	0.0709496	+	0.0855093i
$892$	−35.9371	+	35.9371i	−1.20326	+	1.20326i
$893$	−5.91575	−	13.2870i	−0.197963	−	0.444632i
$894$	0.174369	+	0.820340i	0.00583176	+	0.0274363i
$895$	4.53419	+	86.5175i	0.151561	+	2.89196i
$896$	16.2316	+	22.3409i	0.542259	+	0.746356i
$897$	13.0355	−	15.1258i	0.435242	−	0.505036i
$898$	45.5425	−	14.7976i	1.51977	−	0.493804i
$899$	−11.7840	+	18.1458i	−0.393019	+	0.605196i
$900$	−3.56608	+	33.9290i	−0.118869	+	1.13097i
$901$	−1.83519	+	3.17864i	−0.0611391	+	0.105896i
$902$	−1.97317	+	48.7772i	−0.0656993	+	1.62410i
$903$	3.60949	−	0.967160i	0.120116	−	0.0321851i
$904$	31.7561	+	12.1900i	1.05619	+	0.405434i
$905$	−10.7120	−	21.0235i	−0.356079	−	0.698844i
$906$	−26.3646	−	5.60397i	−0.875906	−	0.186180i
$907$	−7.78761	+	17.4913i	−0.258583	+	0.580787i	−0.995454	−	0.0952465i	$-0.969636\pi$
$907$	−7.78761	+	17.4913i	−0.258583	+	0.580787i	0.736870	+	0.676034i	$0.236303\pi$
$908$	−17.0572	−	44.4355i	−0.566062	−	1.47464i
$909$	4.69033	+	14.4354i	0.155568	+	0.478790i
$910$	−16.7316	+	46.5887i	−0.554646	+	1.54440i
$911$	10.2343	+	7.43565i	0.339077	+	0.246354i	0.744272	−	0.667876i	$-0.232796\pi$
$911$	10.2343	+	7.43565i	0.339077	+	0.246354i	−0.405195	+	0.914230i	$0.632796\pi$
$912$	6.81327	+	1.82561i	0.225610	+	0.0604520i
$913$	9.84021	+	3.06799i	0.325663	+	0.101536i
$914$	−21.1002	−	12.1822i	−0.697932	−	0.402951i
$915$	39.2291	−	6.21327i	1.29687	−	0.205404i
$916$	3.03435	−	57.8989i	0.100258	−	1.91303i
$917$	16.4339	−	10.6723i	0.542696	−	0.352431i
$918$	0.322895	−	2.03868i	0.0106571	−	0.0672865i
$919$	19.6672	−	2.06710i	0.648760	−	0.0681874i	0.225568	−	0.974227i	$-0.427576\pi$
$919$	19.6672	−	2.06710i	0.648760	−	0.0681874i	0.423192	+	0.906040i	$0.360910\pi$
$920$	−71.5076	+	79.4172i	−2.35754	+	2.61831i
$921$	−14.7815	−	9.59923i	−0.487067	−	0.316305i
$922$	24.2084	−	33.3200i	0.797262	−	1.09734i
$923$	2.48871	−	4.02094i	0.0819169	−	0.132351i
$924$	−8.73158	−	18.9982i	−0.287248	−	0.624995i
$925$	1.17320	−	4.37844i	0.0385745	−	0.143962i
$926$	−69.2568	−	7.27919i	−2.27592	−	0.239209i
$927$	−10.4245	+	9.38624i	−0.342385	+	0.308285i
$928$	−5.25457	+	10.3127i	−0.172490	+	0.338530i
$929$	31.4968	−	38.8953i	1.03337	−	1.27611i	0.0730203	−	0.997330i	$-0.476736\pi$
$929$	31.4968	−	38.8953i	1.03337	−	1.27611i	0.960355	−	0.278781i	$-0.0899305\pi$
$930$	−15.2514	+	18.8339i	−0.500112	+	0.617587i
$931$	−3.08423	+	6.05315i	−0.101082	+	0.198384i
$932$	2.22795	−	2.00605i	0.0729789	−	0.0657105i
$933$	1.99821	+	0.210021i	0.0654186	+	0.00687577i
$934$	−11.5373	+	43.0579i	−0.377513	+	1.40890i
$935$	9.85729	+	1.97263i	0.322368	+	0.0645120i
$936$	10.0630	−	16.2585i	0.328920	−	0.531427i
$937$	−9.03143	+	12.4307i	−0.295044	+	0.406093i	−0.930644	−	0.365925i	$-0.880753\pi$
$937$	−9.03143	+	12.4307i	−0.295044	+	0.406093i	0.635600	+	0.772018i	$0.280753\pi$
$938$	−17.9603	−	11.6635i	−0.586424	−	0.380828i
$939$	18.5775	−	20.6324i	0.606255	−	0.673314i
$940$	150.158	−	15.7823i	4.89762	−	0.514761i
$941$	1.65255	−	10.4338i	0.0538717	−	0.340133i	−0.946001	−	0.324164i	$-0.894917\pi$
$941$	1.65255	−	10.4338i	0.0538717	−	0.340133i	0.999872	−	0.0159683i	$-0.00508308\pi$
$942$	5.56271	−	3.61246i	0.181243	−	0.117700i
$943$	−1.72165	+	32.8511i	−0.0560647	+	1.06978i
$944$	−51.9934	+	8.23494i	−1.69224	+	0.268025i
$945$	−4.79836	−	2.77033i	−0.156091	−	0.0901189i
$946$	−0.240590	−	20.1671i	−0.00782226	−	0.655688i
$947$	2.98932	+	0.800987i	0.0971400	+	0.0260286i	0.307062	−	0.951690i	$-0.400654\pi$
$947$	2.98932	+	0.800987i	0.0971400	+	0.0260286i	−0.209922	+	0.977718i	$0.567321\pi$
$948$	−47.2752	−	34.3474i	−1.53543	−	1.11555i
$949$	−17.2982	+	48.1664i	−0.561522	+	1.56355i
$950$	9.15668	+	28.1814i	0.297082	+	0.914324i
$951$	−8.12305	−	21.1613i	−0.263408	−	0.686201i
$952$	−2.73590	+	6.14494i	−0.0886712	+	0.199159i
$953$	20.6828	+	4.39627i	0.669982	+	0.142409i	0.530330	−	0.847791i	$-0.322068\pi$
$953$	20.6828	+	4.39627i	0.669982	+	0.142409i	0.139652	+	0.990201i	$0.455401\pi$
$954$	−4.95687	−	9.72841i	−0.160485	−	0.314969i
$955$	40.4449	+	15.5253i	1.30877	+	0.502388i
$956$	41.4894	−	11.1171i	1.34186	−	0.359551i
$957$	−16.5530	+	20.9473i	−0.535082	+	0.677131i
$958$	43.5934	−	75.5061i	1.40844	−	2.43949i
$959$	3.57175	−	33.9829i	0.115338	−	1.09737i
$960$	12.2044	−	18.7931i	0.393895	−	0.606545i
$961$	22.6120	−	7.34708i	0.729419	−	0.237003i
$962$	−3.20843	+	3.72292i	−0.103444	+	0.120032i
$963$	4.57340	+	6.29475i	0.147376	+	0.202845i
$964$	5.00277	+	95.4585i	0.161128	+	3.07451i
$965$	7.70757	+	36.2613i	0.248115	+	1.16729i
$966$	−8.49916	−	19.0894i	−0.273456	−	0.614192i
$967$	−9.51852	+	9.51852i	−0.306095	+	0.306095i	−0.843393	−	0.537298i	$-0.819445\pi$
$967$	−9.51852	+	9.51852i	−0.306095	+	0.306095i	0.537298	+	0.843393i	$0.319445\pi$
$968$	−57.3824	+	10.4975i	−1.84434	+	0.337402i
$969$	−0.312868	−	1.16764i	−0.0100508	−	0.0375100i
$970$	26.3025	+	166.068i	0.844523	+	5.33211i
$971$	−4.60959	−	5.11947i	−0.147929	−	0.164291i	0.664626	−	0.747176i	$-0.268591\pi$
$971$	−4.60959	−	5.11947i	−0.147929	−	0.164291i	−0.812555	+	0.582884i	$0.801924\pi$
$972$	3.07673	+	2.77030i	0.0986862	+	0.0888575i
$973$	4.52854	−	1.73834i	0.145178	−	0.0557287i
$974$	40.5132	−	29.4345i	1.29813	−	0.943143i
$975$	29.7036	−	0.645590i	0.951277	−	0.0206754i
$976$	50.4582	+	16.3949i	1.61513	+	0.524787i
$977$	25.6519	−	20.7725i	0.820676	−	0.664570i	−0.124107	−	0.992269i	$-0.539606\pi$
$977$	25.6519	−	20.7725i	0.820676	−	0.664570i	0.944782	+	0.327699i	$0.106273\pi$
$978$	−8.89876	+	5.13770i	−0.284551	+	0.164286i
$979$	−4.10819	+	9.53155i	−0.131298	+	0.304630i
$980$	−49.8683	−	49.8683i	−1.59298	−	1.59298i
$981$	6.39840	−	16.6684i	0.204285	−	0.532181i
$982$	6.60388	+	0.346095i	0.210738	+	0.0110443i
$983$	8.56657	+	4.36488i	0.273231	+	0.139218i	0.585238	−	0.810862i	$-0.301001\pi$
$983$	8.56657	+	4.36488i	0.273231	+	0.139218i	−0.312007	+	0.950080i	$0.601001\pi$
$984$	3.29272	+	31.3281i	0.104968	+	0.998705i
$985$	14.7282	+	6.55744i	0.469281	+	0.208937i
$986$	16.5928	−	0.869590i	0.528421	−	0.0276934i
$987$	−4.71592	+	14.5141i	−0.150109	+	0.461989i
$988$	2.92308	−	21.4646i	0.0929956	−	0.682881i
$989$		−	13.5909i		−	0.432164i
$990$	−20.8918	+	21.3963i	−0.663985	+	0.680019i
$991$	16.6268	+	28.7985i	0.528169	+	0.914815i	0.999461	+	0.0328380i	$0.0104546\pi$
$991$	16.6268	+	28.7985i	0.528169	+	0.914815i	−0.471292	+	0.881977i	$0.656212\pi$
$992$	−3.53049	+	1.57188i	−0.112093	+	0.0499071i
$993$	−21.0144	+	10.7074i	−0.666872	+	0.339788i
$994$	−2.69521	−	4.15026i	−0.0854868	−	0.131638i
$995$	30.2084	+	24.4623i	0.957671	+	0.775507i
$996$	12.7083	+	2.01280i	0.402679	+	0.0637781i
$997$	11.4439	−	53.8392i	0.362431	−	1.70510i	−0.298293	−	0.954474i	$-0.596417\pi$
$997$	11.4439	−	53.8392i	0.362431	−	1.70510i	0.660724	−	0.750629i	$-0.270249\pi$
$998$	36.5772	−	7.77473i	1.15783	−	0.246105i
$999$	−0.346184	−	0.427502i	−0.0109528	−	0.0135256i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bs.a.271.1	yes	224
11.8	odd	10	inner	429.2.bs.a.349.14	yes	224
13.6	odd	12	inner	429.2.bs.a.370.14	yes	224
143.19	even	60	inner	429.2.bs.a.19.1	✓	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bs.a.19.1	✓	224	143.19	even	60	inner
429.2.bs.a.271.1	yes	224	1.1	even	1	trivial
429.2.bs.a.349.14	yes	224	11.8	odd	10	inner
429.2.bs.a.370.14	yes	224	13.6	odd	12	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bs (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.55941 - 1.92572i) q^{2} +(0.978148 - 0.207912i) q^{3} +(-0.860786 + 4.04968i) q^{4} +(-3.59392 - 0.569220i) q^{5} +(-1.92572 - 1.55941i) q^{6} +(0.829321 + 1.27704i) q^{7} +(4.72514 - 2.40758i) q^{8} +(0.913545 - 0.406737i) q^{9} +(4.50825 + 7.80851i) q^{10} +(-0.479721 + 3.28175i) q^{11} +4.14015i q^{12} +(3.57676 - 0.454711i) q^{13} +(1.16597 - 3.58847i) q^{14} +(-3.63373 + 0.190436i) q^{15} +(-4.44034 - 1.97697i) q^{16} +(0.0870711 + 0.828426i) q^{17} +(-2.20785 - 1.12496i) q^{18} +(-1.44921 - 0.0759497i) q^{19} +(5.39875 - 14.0642i) q^{20} +(1.07671 + 1.07671i) q^{21} +(7.06780 - 4.19380i) q^{22} +(4.79612 - 2.76904i) q^{23} +(4.12132 - 3.33738i) q^{24} +(7.83694 + 2.54638i) q^{25} +(-6.45330 - 6.17875i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-5.88548 + 2.25922i) q^{28} +(5.98217 + 5.38637i) q^{29} +(6.03321 + 6.70056i) q^{30} +(0.420467 + 2.65472i) q^{31} +(0.372136 + 1.38883i) q^{32} +(0.213076 + 3.30977i) q^{33} +(1.45953 - 1.45953i) q^{34} +(-2.25359 - 5.06165i) q^{35} +(0.860786 + 4.04968i) q^{36} +(-0.0287896 - 0.549338i) q^{37} +(2.11365 + 2.90920i) q^{38} +(3.40406 - 1.18842i) q^{39} +(-18.3522 + 5.96300i) q^{40} +(-3.23515 + 4.98170i) q^{41} +(0.394401 - 3.75247i) q^{42} +(1.22704 - 2.12529i) q^{43} +(-12.8771 - 4.76760i) q^{44} +(-3.51473 + 0.941769i) q^{45} +(-12.8115 - 4.91788i) q^{46} +(4.55006 + 8.93000i) q^{47} +(-4.75434 - 1.01057i) q^{48} +(1.90409 - 4.27666i) q^{49} +(-7.31744 - 19.0626i) q^{50} +(0.257408 + 0.792220i) q^{51} +(-1.23740 + 14.8762i) q^{52} +(3.56475 + 2.58994i) q^{53} +(-2.39350 - 0.641336i) q^{54} +(3.59211 - 11.5213i) q^{55} +(6.99324 + 4.03755i) q^{56} +(-1.43333 + 0.227017i) q^{57} +(1.04394 - 19.9195i) q^{58} +(9.08309 - 5.89863i) q^{59} +(2.35666 - 14.8794i) q^{60} +(-10.8556 + 1.14097i) q^{61} +(4.45656 - 4.94951i) q^{62} +(1.27704 + 0.829321i) q^{63} +(-3.61975 + 4.98215i) q^{64} +(-13.1134 - 0.401775i) q^{65} +(6.04141 - 5.57163i) q^{66} +(1.46898 - 5.48229i) q^{67} +(-3.42981 - 0.360488i) q^{68} +(4.11559 - 3.70570i) q^{69} +(-6.23302 + 12.2330i) q^{70} +(0.825376 - 1.01925i) q^{71} +(3.33738 - 4.12132i) q^{72} +(-6.44410 + 12.6472i) q^{73} +(-1.01297 + 0.912086i) q^{74} +(8.19510 + 0.861340i) q^{75} +(1.55503 - 5.80345i) q^{76} +(-4.58877 + 2.10900i) q^{77} +(-7.59691 - 4.70201i) q^{78} +(-8.29617 + 11.4187i) q^{79} +(14.8329 + 9.63258i) q^{80} +(0.669131 - 0.743145i) q^{81} +(14.6383 - 1.53855i) q^{82} +(0.486166 - 3.06953i) q^{83} +(-5.28715 + 3.43351i) q^{84} +(0.158631 - 3.02686i) q^{85} +(-6.00617 + 0.951284i) q^{86} +(6.97133 + 4.02490i) q^{87} +(5.63433 + 16.6617i) q^{88} +(3.02281 + 0.809960i) q^{89} +(7.29449 + 5.29976i) q^{90} +(3.54697 + 4.19058i) q^{91} +(7.08529 + 21.8063i) q^{92} +(0.963227 + 2.50929i) q^{93} +(10.1012 - 22.6877i) q^{94} +(5.16509 + 1.09787i) q^{95} +(0.652758 + 1.28111i) q^{96} +(17.4092 + 6.68277i) q^{97} +(-11.2049 + 3.00235i) q^{98} +(0.896560 + 3.19315i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 28 q^{3} - 6 q^{5} + 28 q^{9} - 16 q^{11} - 10 q^{13} - 36 q^{14} + 8 q^{15} - 24 q^{16} + 50 q^{20} + 10 q^{22} - 48 q^{23} - 30 q^{24} + 10 q^{26} + 56 q^{27} + 20 q^{29} + 12 q^{31} - 32 q^{33}+ \cdots - 6 q^{99}+O(q^{100}) \) 224 * q - 28 * q^3 - 6 * q^5 + 28 * q^9 - 16 * q^11 - 10 * q^13 - 36 * q^14 + 8 * q^15 - 24 * q^16 + 50 * q^20 + 10 * q^22 - 48 * q^23 - 30 * q^24 + 10 * q^26 + 56 * q^27 + 20 * q^29 + 12 * q^31 - 32 * q^33 - 104 * q^34 + 20 * q^35 + 12 * q^37 + 20 * q^39 - 80 * q^40 + 190 * q^41 + 32 * q^42 - 24 * q^44 + 4 * q^45 - 40 * q^46 - 10 * q^47 + 44 * q^48 - 24 * q^49 - 180 * q^50 - 110 * q^52 + 28 * q^53 - 62 * q^55 - 72 * q^56 + 20 * q^58 - 118 * q^59 + 88 * q^60 - 20 * q^61 + 120 * q^62 - 20 * q^66 - 156 * q^67 - 60 * q^68 + 12 * q^69 - 20 * q^70 + 64 * q^71 - 30 * q^72 + 10 * q^73 - 60 * q^74 - 12 * q^75 + 84 * q^78 + 200 * q^79 + 188 * q^80 + 28 * q^81 - 138 * q^82 - 80 * q^83 - 60 * q^84 + 40 * q^85 - 42 * q^86 - 18 * q^88 + 216 * q^89 - 88 * q^91 + 16 * q^92 + 12 * q^93 - 40 * q^94 - 300 * q^95 - 100 * q^96 + 18 * q^97 - 6 * q^99

Introduction

L-functions

Modular forms

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Database

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