LMFDB - Embedded newform 552.2.bb.a.133.28

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [552,2,Mod(13,552)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(552, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([0, 11, 0, 14])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("552.13"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.bb (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$48$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			133.28
Character	$\chi$	$=$	552.133
Dual form			552.2.bb.a.469.28

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.444989 - 1.34238i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(-1.60397 - 1.19469i) q^{4} +(0.195405 + 0.0280950i) q^{5} +(-1.21537 + 0.723098i) q^{6} +(-0.184716 - 0.404472i) q^{7} +(-2.31747 + 1.62152i) q^{8} +(0.142315 + 0.989821i) q^{9} +(0.124667 - 0.249806i) q^{10} +(-1.13127 - 3.85274i) q^{11} +(0.429846 + 1.95326i) q^{12} +(-3.47679 - 1.58780i) q^{13} +(-0.625152 + 0.0679740i) q^{14} +(-0.129279 - 0.149196i) q^{15} +(1.14544 + 3.83249i) q^{16} +(-5.85643 + 3.76370i) q^{17} +(1.39205 + 0.249419i) q^{18} +(0.936892 - 1.45783i) q^{19} +(-0.279859 - 0.278512i) q^{20} +(-0.125274 + 0.426643i) q^{21} +(-5.67525 - 0.195835i) q^{22} +(2.94480 + 3.78525i) q^{23} +(2.81330 + 0.292163i) q^{24} +(-4.76007 - 1.39768i) q^{25} +(-3.67856 + 3.96063i) q^{26} +(0.540641 - 0.841254i) q^{27} +(-0.186939 + 0.869440i) q^{28} +(-1.09789 - 1.70835i) q^{29} +(-0.257806 + 0.107151i) q^{30} +(-1.09599 - 1.26484i) q^{31} +(5.65437 + 0.167794i) q^{32} +(-1.66805 + 3.65253i) q^{33} +(2.44627 + 9.53637i) q^{34} +(-0.0247309 - 0.0842256i) q^{35} +(0.954259 - 1.75767i) q^{36} +(-1.63836 + 0.235561i) q^{37} +(-1.54006 - 1.90638i) q^{38} +(1.58780 + 3.47679i) q^{39} +(-0.498403 + 0.251743i) q^{40} +(-0.224561 + 1.56185i) q^{41} +(0.516972 + 0.358016i) q^{42} +(1.44117 + 1.24878i) q^{43} +(-2.78831 + 7.53120i) q^{44} +0.197415i q^{45} +(6.39165 - 2.26865i) q^{46} +6.84271 q^{47} +(1.64408 - 3.64651i) q^{48} +(4.45455 - 5.14082i) q^{49} +(-3.99440 + 5.76787i) q^{50} +(6.89070 + 0.990733i) q^{51} +(3.67975 + 6.70046i) q^{52} +(-3.92286 + 1.79151i) q^{53} +(-0.888703 - 1.10009i) q^{54} +(-0.112813 - 0.784629i) q^{55} +(1.08393 + 0.637834i) q^{56} +(-1.66273 + 0.488222i) q^{57} +(-2.78180 + 0.713589i) q^{58} +(-10.5513 - 4.81861i) q^{59} +(0.0291172 + 0.393754i) q^{60} +(6.00798 - 5.20595i) q^{61} +(-2.18560 + 0.908398i) q^{62} +(0.374067 - 0.240399i) q^{63} +(2.74137 - 7.51564i) q^{64} +(-0.634774 - 0.407945i) q^{65} +(4.16082 + 3.86450i) q^{66} +(2.42300 - 8.25199i) q^{67} +(13.8900 + 0.959744i) q^{68} +(0.253282 - 4.78914i) q^{69} +(-0.124068 - 0.00428120i) q^{70} +(-4.95443 - 1.45475i) q^{71} +(-1.93482 - 2.06312i) q^{72} +(-10.6858 - 6.86732i) q^{73} +(-0.412841 + 2.30413i) q^{74} +(2.68213 + 4.17348i) q^{75} +(-3.24440 + 1.21903i) q^{76} +(-1.34936 + 1.16923i) q^{77} +(5.37373 - 0.584296i) q^{78} +(6.34655 - 13.8970i) q^{79} +(0.116152 + 0.781069i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(1.99668 + 0.996453i) q^{82} +(-12.6615 + 1.82044i) q^{83} +(0.710641 - 0.534660i) q^{84} +(-1.25012 + 0.570910i) q^{85} +(2.31764 - 1.37891i) q^{86} +(-0.289001 + 2.01005i) q^{87} +(8.86897 + 7.09426i) q^{88} +(-5.55657 + 6.41263i) q^{89} +(0.265006 + 0.0878473i) q^{90} +1.69956i q^{91} +(-0.201176 - 9.58955i) q^{92} +1.67363i q^{93} +(3.04493 - 9.18552i) q^{94} +(0.224031 - 0.258546i) q^{95} +(-4.16340 - 3.82963i) q^{96} +(0.0567281 - 0.394553i) q^{97} +(-4.91872 - 8.26730i) q^{98} +(3.65253 - 1.66805i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9} - 4 q^{10} - 4 q^{14} - 8 q^{15} - 8 q^{16} - 4 q^{18} + 20 q^{20} + 20 q^{22} - 8 q^{23} - 4 q^{24} + 48 q^{25} + 16 q^{30} + 16 q^{31} + 4 q^{32}+ \cdots - 132 q^{98}+O(q^{100}) $ 480 * q + 4 * q^2 + 4 * q^6 + 8 * q^7 + 4 * q^8 + 48 * q^9 - 4 * q^10 - 4 * q^14 - 8 * q^15 - 8 * q^16 - 4 * q^18 + 20 * q^20 + 20 * q^22 - 8 * q^23 - 4 * q^24 + 48 * q^25 + 16 * q^30 + 16 * q^31 + 4 * q^32 + 6 * q^34 - 22 * q^36 + 90 * q^38 - 74 * q^40 + 90 * q^42 - 130 * q^44 + 96 * q^46 - 88 * q^48 - 48 * q^49 + 142 * q^50 - 142 * q^52 + 18 * q^54 - 82 * q^56 + 22 * q^58 + 2 * q^60 - 40 * q^62 - 8 * q^63 + 16 * q^66 - 44 * q^68 + 16 * q^71 - 4 * q^72 + 10 * q^74 - 138 * q^76 - 40 * q^79 - 170 * q^80 - 48 * q^81 - 124 * q^82 - 8 * q^84 - 216 * q^86 - 108 * q^88 + 4 * q^90 - 198 * q^92 - 238 * q^94 + 80 * q^95 + 4 * q^96 - 132 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{6}{11}\right)$	$1$	$-1$	$1$

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 $

$2$	0.444989	−	1.34238i	0.314654	−	0.949206i
$2$	0.444989	−	1.34238i	0.314654	−	0.949206i
$3$	−0.755750	−	0.654861i	−0.436332	−	0.378084i
$3$	−0.755750	−	0.654861i	−0.436332	−	0.378084i
$4$	−1.60397	−	1.19469i	−0.801985	−	0.597344i
$5$	0.195405	+	0.0280950i	0.0873879	+	0.0125645i	0.185870	−	0.982574i	$-0.440490\pi$
$5$	0.195405	+	0.0280950i	0.0873879	+	0.0125645i	−0.0984822	+	0.995139i	$0.531399\pi$
$6$	−1.21537	+	0.723098i	−0.496174	+	0.295203i
$7$	−0.184716	−	0.404472i	−0.0698162	−	0.152876i	0.871507	−	0.490384i	$-0.163143\pi$
$7$	−0.184716	−	0.404472i	−0.0698162	−	0.152876i	−0.941323	+	0.337508i	$0.890416\pi$
$8$	−2.31747	+	1.62152i	−0.819351	+	0.573292i
$9$	0.142315	+	0.989821i	0.0474383	+	0.329940i
$10$	0.124667	−	0.249806i	0.0394233	−	0.0789957i
$11$	−1.13127	−	3.85274i	−0.341090	−	1.16165i	−0.934267	−	0.356574i	$-0.883945\pi$
$11$	−1.13127	−	3.85274i	−0.341090	−	1.16165i	0.593177	−	0.805072i	$-0.297873\pi$
$12$	0.429846	+	1.95326i	0.124086	+	0.563858i
$13$	−3.47679	−	1.58780i	−0.964289	−	0.440376i	−0.129885	−	0.991529i	$-0.541461\pi$
$13$	−3.47679	−	1.58780i	−0.964289	−	0.440376i	−0.834404	+	0.551153i	$0.814188\pi$
$14$	−0.625152	+	0.0679740i	−0.167079	+	0.0181668i
$15$	−0.129279	−	0.149196i	−0.0333797	−	0.0385223i
$16$	1.14544	+	3.83249i	0.286360	+	0.958122i
$17$	−5.85643	+	3.76370i	−1.42039	+	0.912832i	−0.420409	+	0.907335i	$0.638113\pi$
$17$	−5.85643	+	3.76370i	−1.42039	+	0.912832i	−0.999985	+	0.00549682i	$0.998250\pi$
$18$	1.39205	+	0.249419i	0.328108	+	0.0587885i
$19$	0.936892	−	1.45783i	0.214938	−	0.334450i	−0.716997	−	0.697077i	$-0.754484\pi$
$19$	0.936892	−	1.45783i	0.214938	−	0.334450i	0.931934	+	0.362627i	$0.118120\pi$
$20$	−0.279859	−	0.278512i	−0.0625785	−	0.0622771i
$21$	−0.125274	+	0.426643i	−0.0273370	+	0.0931012i
$22$	−5.67525	−	0.195835i	−1.20997	−	0.0417522i
$23$	2.94480	+	3.78525i	0.614033	+	0.789280i
$23$	2.94480	+	3.78525i	0.614033	+	0.789280i
$24$	2.81330	+	0.292163i	0.574262	+	0.0596375i
$25$	−4.76007	−	1.39768i	−0.952014	−	0.279537i
$26$	−3.67856	+	3.96063i	−0.721425	+	0.776743i
$27$	0.540641	−	0.841254i	0.104046	−	0.161899i
$28$	−0.186939	+	0.869440i	−0.0353281	+	0.164309i
$29$	−1.09789	−	1.70835i	−0.203873	−	0.317232i	0.724228	−	0.689560i	$-0.242196\pi$
$29$	−1.09789	−	1.70835i	−0.203873	−	0.317232i	−0.928101	+	0.372328i	$0.878560\pi$
$30$	−0.257806	+	0.107151i	−0.0470686	+	0.0195630i
$31$	−1.09599	−	1.26484i	−0.196846	−	0.227173i	0.648742	−	0.761008i	$-0.275295\pi$
$31$	−1.09599	−	1.26484i	−0.196846	−	0.227173i	−0.845588	+	0.533836i	$0.820750\pi$
$32$	5.65437	+	0.167794i	0.999560	+	0.0296621i
$33$	−1.66805	+	3.65253i	−0.290371	+	0.635824i
$34$	2.44627	+	9.53637i	0.419532	+	1.63547i
$35$	−0.0247309	−	0.0842256i	−0.00418028	−	0.0142367i
$36$	0.954259	−	1.75767i	0.159043	−	0.292944i
$37$	−1.63836	+	0.235561i	−0.269345	+	0.0387260i	−0.275664	−	0.961254i	$-0.588898\pi$
$37$	−1.63836	+	0.235561i	−0.269345	+	0.0387260i	0.00631874	+	0.999980i	$0.497989\pi$
$38$	−1.54006	−	1.90638i	−0.249831	−	0.309256i
$39$	1.58780	+	3.47679i	0.254251	+	0.556732i
$40$	−0.498403	+	0.251743i	−0.0788045	+	0.0398041i
$41$	−0.224561	+	1.56185i	−0.0350705	+	0.243921i	−0.999814	−	0.0192701i	$-0.993866\pi$
$41$	−0.224561	+	1.56185i	−0.0350705	+	0.243921i	0.964744	+	0.263191i	$0.0847749\pi$
$42$	0.516972	+	0.358016i	0.0797705	+	0.0552431i
$43$	1.44117	+	1.24878i	0.219776	+	0.190437i	0.757789	−	0.652499i	$-0.226279\pi$
$43$	1.44117	+	1.24878i	0.219776	+	0.190437i	−0.538013	+	0.842937i	$0.680825\pi$
$44$	−2.78831	+	7.53120i	−0.420353	+	1.13537i
$45$			0.197415i			0.0294288i
$46$	6.39165	−	2.26865i	0.942398	−	0.334494i
$47$	6.84271			0.998112			0.499056	−	0.866570i	$-0.333680\pi$
$47$	6.84271			0.998112			0.499056	+	0.866570i	$0.333680\pi$
$48$	1.64408	−	3.64651i	0.237302	−	0.526328i
$49$	4.45455	−	5.14082i	0.636364	−	0.734403i
$50$	−3.99440	+	5.76787i	−0.564893	+	0.815700i
$51$	6.89070	+	0.990733i	0.964891	+	0.138730i
$52$	3.67975	+	6.70046i	0.510289	+	0.929187i
$53$	−3.92286	+	1.79151i	−0.538846	+	0.246083i	−0.666198	−	0.745775i	$-0.732080\pi$
$53$	−3.92286	+	1.79151i	−0.538846	+	0.246083i	0.127352	+	0.991858i	$0.459352\pi$
$54$	−0.888703	−	1.10009i	−0.120937	−	0.149704i
$55$	−0.112813	−	0.784629i	−0.0152117	−	0.105799i
$56$	1.08393	+	0.637834i	0.144847	+	0.0852341i
$57$	−1.66273	+	0.488222i	−0.220234	+	0.0646666i
$58$	−2.78180	+	0.713589i	−0.365268	+	0.0936988i
$59$	−10.5513	−	4.81861i	−1.37366	−	0.627330i	−0.414464	−	0.910066i	$-0.636031\pi$
$59$	−10.5513	−	4.81861i	−1.37366	−	0.627330i	−0.959198	+	0.282736i	$0.908758\pi$
$60$	0.0291172	+	0.393754i	0.00375901	+	0.0508334i
$61$	6.00798	−	5.20595i	0.769243	−	0.666553i	−0.179089	−	0.983833i	$-0.557315\pi$
$61$	6.00798	−	5.20595i	0.769243	−	0.666553i	0.948332	+	0.317280i	$0.102769\pi$
$62$	−2.18560	+	0.908398i	−0.277572	+	0.115367i
$63$	0.374067	−	0.240399i	0.0471281	−	0.0302874i
$64$	2.74137	−	7.51564i	0.342671	−	0.939455i
$65$	−0.634774	−	0.407945i	−0.0787341	−	0.0505993i
$66$	4.16082	+	3.86450i	0.512162	+	0.475687i
$67$	2.42300	−	8.25199i	0.296017	−	1.00814i	−0.668410	−	0.743793i	$-0.733025\pi$
$67$	2.42300	−	8.25199i	0.296017	−	1.00814i	0.964427	−	0.264348i	$-0.0851569\pi$
$68$	13.8900	+	0.959744i	1.68441	+	0.116386i
$69$	0.253282	−	4.78914i	0.0304916	−	0.576545i
$70$	−0.124068	−	0.00428120i	−0.0148289	−	0.000511701i
$71$	−4.95443	−	1.45475i	−0.587983	−	0.172647i	−0.0258096	−	0.999667i	$-0.508216\pi$
$71$	−4.95443	−	1.45475i	−0.587983	−	0.172647i	−0.562173	+	0.827020i	$0.690035\pi$
$72$	−1.93482	−	2.06312i	−0.228021	−	0.243141i
$73$	−10.6858	−	6.86732i	−1.25067	−	0.803759i	−0.263694	−	0.964606i	$-0.584941\pi$
$73$	−10.6858	−	6.86732i	−1.25067	−	0.803759i	−0.986979	+	0.160848i	$0.948577\pi$
$74$	−0.412841	+	2.30413i	−0.0479917	+	0.267850i
$75$	2.68213	+	4.17348i	0.309706	+	0.481912i
$76$	−3.24440	+	1.21903i	−0.372158	+	0.139832i
$77$	−1.34936	+	1.16923i	−0.153774	+	0.133246i
$78$	5.37373	−	0.584296i	0.608455	−	0.0661585i
$79$	6.34655	−	13.8970i	0.714042	−	1.56353i	−0.108027	−	0.994148i	$-0.534453\pi$
$79$	6.34655	−	13.8970i	0.714042	−	1.56353i	0.822070	−	0.569387i	$-0.192819\pi$
$80$	0.116152	+	0.781069i	0.0129861	+	0.0873262i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	1.99668	+	0.996453i	0.220496	+	0.110040i
$83$	−12.6615	+	1.82044i	−1.38978	+	0.199819i	−0.796236	−	0.604986i	$-0.793179\pi$
$83$	−12.6615	+	1.82044i	−1.38978	+	0.199819i	−0.593539	+	0.804805i	$0.702270\pi$
$84$	0.710641	−	0.534660i	0.0775373	−	0.0583362i
$85$	−1.25012	+	0.570910i	−0.135594	+	0.0619239i
$86$	2.31764	−	1.37891i	0.249918	−	0.148691i
$87$	−0.289001	+	2.01005i	−0.0309842	+	0.215500i
$88$	8.86897	+	7.09426i	0.945435	+	0.756251i
$89$	−5.55657	+	6.41263i	−0.588996	+	0.679737i	−0.969514	−	0.245036i	$-0.921200\pi$
$89$	−5.55657	+	6.41263i	−0.588996	+	0.679737i	0.380518	+	0.924773i	$0.375746\pi$
$90$	0.265006	+	0.0878473i	0.0279340	+	0.00925991i
$91$			1.69956i			0.178162i
$92$	−0.201176	−	9.58955i	−0.0209741	−	0.999780i
$93$			1.67363i			0.173547i
$94$	3.04493	−	9.18552i	0.314060	−	0.947414i
$95$	0.224031	−	0.258546i	0.0229851	−	0.0265263i
$96$	−4.16340	−	3.82963i	−0.424925	−	0.390860i
$97$	0.0567281	−	0.394553i	0.00575987	−	0.0400607i	−0.986739	−	0.162316i	$-0.948104\pi$
$97$	0.0567281	−	0.394553i	0.00575987	−	0.0400607i	0.992499	+	0.122255i	$0.0390127\pi$
$98$	−4.91872	−	8.26730i	−0.496865	−	0.835124i
$99$	3.65253	−	1.66805i	0.367093	−	0.167646i
$100$	5.96522	+	7.92864i	0.596522	+	0.792864i
$101$	5.52982	−	0.795069i	0.550238	−	0.0791123i	0.138412	−	0.990375i	$-0.455800\pi$
$101$	5.52982	−	0.795069i	0.550238	−	0.0791123i	0.411826	+	0.911262i	$0.364891\pi$
$102$	4.39622	−	8.80907i	0.435291	−	0.872228i
$103$	13.1328	−	3.85615i	1.29402	−	0.379957i	0.438966	−	0.898504i	$-0.355345\pi$
$103$	13.1328	−	3.85615i	1.29402	−	0.379957i	0.855050	+	0.518546i	$0.173527\pi$
$104$	10.6320	−	1.95799i	1.04255	−	0.191997i
$105$	−0.0364657	+	0.0798488i	−0.00355869	+	0.00779244i
$106$	0.659261	+	6.06317i	0.0640330	+	0.588907i
$107$	7.00964	−	6.07389i	0.677647	−	0.587185i	−0.246536	−	0.969134i	$-0.579292\pi$
$107$	7.00964	−	6.07389i	0.677647	−	0.587185i	0.924183	+	0.381949i	$0.124747\pi$
$108$	−1.87221	+	0.703449i	−0.180153	+	0.0676894i
$109$	1.67325	+	2.60363i	0.160268	+	0.249383i	0.912096	−	0.409978i	$-0.134464\pi$
$109$	1.67325	+	2.60363i	0.160268	+	0.249383i	−0.751827	+	0.659360i	$0.770827\pi$
$110$	−1.10347	−	0.197713i	−0.105212	−	0.0188512i
$111$	1.39245	+	0.894875i	0.132166	+	0.0849378i
$112$	1.33855	−	1.17122i	0.126481	−	0.110670i
$113$	−10.5109	−	3.08629i	−0.988785	−	0.290333i	−0.252939	−	0.967482i	$-0.581397\pi$
$113$	−10.5109	−	3.08629i	−0.988785	−	0.290333i	−0.735846	+	0.677149i	$0.763215\pi$
$114$	−0.0845169	+	2.44927i	−0.00791573	+	0.229395i
$115$	0.469083	+	0.822393i	0.0437422	+	0.0766885i
$116$	−0.279962	+	4.05177i	−0.0259938	+	0.376198i
$117$	1.07684	−	3.66737i	0.0995536	−	0.339049i
$118$	−11.1636	+	12.0196i	−1.02769	+	1.10650i
$119$	2.60409	+	1.67355i	0.238717	+	0.153414i
$120$	0.541525	+	0.136130i	0.0494342	+	0.0124269i
$121$	−4.31007	+	2.76991i	−0.391824	+	0.251810i
$122$	−4.31488	−	10.3816i	−0.390651	−	0.939904i
$123$	1.19251	−	1.03331i	0.107525	−	0.0931709i
$124$	0.246847	+	3.33814i	0.0221675	+	0.299774i
$125$	−1.78875	−	0.816894i	−0.159991	−	0.0730652i
$126$	−0.156251	−	0.609115i	−0.0139199	−	0.0542643i
$127$	13.7854	−	4.04775i	1.22325	−	0.359179i	0.394553	−	0.918873i	$-0.370899\pi$
$127$	13.7854	−	4.04775i	1.22325	−	0.359179i	0.828700	+	0.559694i	$0.189081\pi$
$128$	−8.86897	−	7.02434i	−0.783914	−	0.620870i
$129$	−0.271386	−	1.88753i	−0.0238942	−	0.166188i
$130$	−0.830084	+	0.670578i	−0.0728032	+	0.0588136i
$131$	−11.9094	+	5.43882i	−1.04053	+	0.475192i	−0.861023	−	0.508565i	$-0.830176\pi$
$131$	−11.9094	+	5.43882i	−1.04053	+	0.475192i	−0.179502	+	0.983758i	$0.557449\pi$
$132$	7.03914	−	3.86575i	0.612679	−	0.336470i
$133$	−0.762712	−	0.109661i	−0.0661355	−	0.00950885i
$134$	−9.99910	−	6.92463i	−0.863791	−	0.598197i
$135$	0.129279	−	0.149196i	0.0111266	−	0.0128408i
$136$	7.46923	−	18.2186i	0.640481	−	1.56223i
$137$	17.7993			1.52070			0.760348	−	0.649516i	$-0.225028\pi$
$137$	17.7993			1.52070			0.760348	+	0.649516i	$0.225028\pi$
$138$	−6.31614	−	2.47111i	−0.537665	−	0.210355i
$139$		−	7.73438i		−	0.656022i	−0.944674	−	0.328011i	$-0.893622\pi$
$139$		−	7.73438i		−	0.656022i	0.944674	−	0.328011i	$-0.106378\pi$
$140$	−0.0609557	+	0.164641i	−0.00515170	+	0.0139147i
$141$	−5.17138	−	4.48102i	−0.435508	−	0.377370i
$142$	−4.15750	+	6.00338i	−0.348889	+	0.503793i
$143$	−2.18419	+	15.1914i	−0.182652	+	1.27037i
$144$	−3.63047	+	1.67920i	−0.302539	+	0.139934i
$145$	−0.166537	−	0.364665i	−0.0138302	−	0.0302838i
$146$	−13.9736	+	11.2885i	−1.15646	+	0.934241i
$147$	−6.73304	+	0.968066i	−0.555332	+	0.0798447i
$148$	2.90931	+	1.57950i	0.239144	+	0.129834i
$149$	−1.72463	−	5.87355i	−0.141287	−	0.481180i	0.858196	−	0.513322i	$-0.171585\pi$
$149$	−1.72463	−	5.87355i	−0.141287	−	0.481180i	−0.999483	+	0.0321420i	$0.989767\pi$
$150$	6.79592	−	1.74329i	0.554884	−	0.142339i
$151$	0.919169	−	2.01270i	0.0748009	−	0.163791i	−0.868537	−	0.495624i	$-0.834940\pi$
$151$	0.919169	−	2.01270i	0.0748009	−	0.163791i	0.943338	+	0.331832i	$0.107667\pi$
$152$	0.192676	+	4.89767i	0.0156281	+	0.397254i
$153$	−4.55885	−	5.26119i	−0.368561	−	0.425342i
$154$	0.969101	+	2.33165i	0.0780924	+	0.187890i
$155$	−0.178627	−	0.277949i	−0.0143477	−	0.0223254i
$156$	1.60690	−	7.47360i	0.128655	−	0.598367i
$157$	−2.38364	+	3.70902i	−0.190235	+	0.296012i	−0.923249	−	0.384202i	$-0.874477\pi$
$157$	−2.38364	+	3.70902i	−0.190235	+	0.296012i	0.733014	+	0.680214i	$0.238113\pi$
$158$	−15.8309	−	14.7035i	−1.25944	−	1.16975i
$159$	4.13789	+	1.21499i	0.328156	+	0.0963553i
$160$	1.10018	+	0.191647i	0.0869767	+	0.0151511i
$161$	0.987078	−	1.89029i	0.0777926	−	0.148976i
$162$	−0.0487711	+	1.41337i	−0.00383182	+	0.111045i
$163$	−3.67684	+	12.5222i	−0.287993	+	0.980813i	0.680703	+	0.732560i	$0.261675\pi$
$163$	−3.67684	+	12.5222i	−0.287993	+	0.980813i	−0.968695	+	0.248253i	$0.920144\pi$
$164$	2.22612	−	2.23689i	0.173831	−	0.174672i
$165$	−0.428565	+	0.666860i	−0.0333637	+	0.0519149i
$166$	−3.19048	+	17.8066i	−0.247629	+	1.38206i
$167$	17.0269	−	10.9425i	1.31758	−	0.846758i	0.322573	−	0.946545i	$-0.395452\pi$
$167$	17.0269	−	10.9425i	1.31758	−	0.846758i	0.995009	+	0.0997865i	$0.0318160\pi$
$168$	−0.401490	−	1.19187i	−0.0309756	−	0.0919546i
$169$	1.05379	+	1.21614i	0.0810612	+	0.0935496i
$170$	0.210090	+	1.93218i	0.0161132	+	0.148192i
$171$	1.57633	+	0.719884i	0.120545	+	0.0550509i
$172$	−0.819691	−	3.72476i	−0.0625008	−	0.284010i
$173$	6.59279	+	22.4530i	0.501240	+	1.70707i	0.688920	+	0.724837i	$0.258085\pi$
$173$	6.59279	+	22.4530i	0.501240	+	1.70707i	−0.187680	+	0.982230i	$0.560097\pi$
$174$	2.56965	+	1.28240i	0.194804	+	0.0972183i
$175$	0.313939	+	2.18349i	0.0237315	+	0.165056i
$176$	13.4698	−	8.74866i	1.01532	−	0.659455i
$177$	4.81861	+	10.5513i	0.362189	+	0.793084i
$178$	6.13557	+	10.3126i	0.459881	+	0.772961i
$179$	−0.746843	−	0.107380i	−0.0558217	−	0.00802594i	0.114347	−	0.993441i	$-0.463522\pi$
$179$	−0.746843	−	0.107380i	−0.0558217	−	0.00802594i	−0.170169	+	0.985415i	$0.554431\pi$
$180$	0.235849	−	0.316647i	0.0175791	−	0.0236015i
$181$	−16.5203	−	14.3149i	−1.22795	−	1.06402i	−0.995820	−	0.0913352i	$-0.970887\pi$
$181$	−16.5203	−	14.3149i	−1.22795	−	1.06402i	−0.232126	−	0.972686i	$-0.574568\pi$
$182$	2.28145	+	0.756284i	0.169113	+	0.0560595i
$183$	−7.94970			−0.587659
$184$	−12.9623	−	3.99719i	−0.955597	−	0.294676i
$185$	−0.326763			−0.0240241
$186$	2.24664	+	0.744745i	0.164732	+	0.0546073i
$187$	21.1258	+	18.3056i	1.54487	+	1.33864i
$188$	−10.9755	−	8.17490i	−0.800471	−	0.596216i
$189$	−0.440129	−	0.0632810i	−0.0320147	−	0.00460301i
$190$	−0.247376	−	0.415785i	−0.0179465	−	0.0301642i
$191$	−8.15439	−	17.8556i	−0.590031	−	1.29199i	−0.935423	−	0.353530i	$-0.884981\pi$
$191$	−8.15439	−	17.8556i	−0.590031	−	1.29199i	0.345392	−	0.938458i	$-0.387746\pi$
$192$	−6.99349	+	3.88473i	−0.504712	+	0.280356i
$193$	0.303956	+	2.11406i	0.0218792	+	0.152173i	0.997832	−	0.0658071i	$-0.0209622\pi$
$193$	0.303956	+	2.11406i	0.0218792	+	0.152173i	−0.975953	+	0.217980i	$0.930053\pi$
$194$	−0.504396	−	0.251722i	−0.0362135	−	0.0180726i
$195$	0.212583	+	0.723993i	0.0152234	+	0.0518462i
$196$	−13.2866	+	2.92393i	−0.949046	+	0.208852i
$197$	22.3584	+	10.2108i	1.59297	+	0.727487i	0.997137	−	0.0756190i	$-0.0240933\pi$
$197$	22.3584	+	10.2108i	1.59297	+	0.727487i	0.595837	+	0.803106i	$0.296821\pi$
$198$	−0.613830	−	5.64535i	−0.0436230	−	0.401198i
$199$	−0.504723	−	0.582482i	−0.0357789	−	0.0412910i	0.737578	−	0.675262i	$-0.235969\pi$
$199$	−0.504723	−	0.582482i	−0.0357789	−	0.0412910i	−0.773357	+	0.633971i	$0.781424\pi$
$200$	13.2977	−	4.47944i	0.940290	−	0.316744i
$201$	−7.23509	+	4.64971i	−0.510324	+	0.327965i
$202$	1.39342	−	7.77692i	0.0980410	−	0.547183i
$203$	−0.488182	+	0.759625i	−0.0342636	+	0.0533153i
$204$	−9.86886	−	9.82134i	−0.690958	−	0.687631i
$205$	−0.0877607	+	0.298886i	−0.00612947	+	0.0208751i
$206$	0.667543	−	19.3452i	0.0465099	−	1.34784i
$207$	−3.32764	+	3.45352i	−0.231287	+	0.240037i
$208$	2.10275	−	15.1435i	0.145800	−	1.05001i
$209$	−6.67653	−	1.96040i	−0.461825	−	0.135604i
$210$	0.0909606	+	0.0844826i	0.00627688	+	0.00582986i
$211$	−10.0212	+	15.5934i	−0.689890	+	1.07349i	0.302829	+	0.953045i	$0.402069\pi$
$211$	−10.0212	+	15.5934i	−0.689890	+	1.07349i	−0.992720	+	0.120446i	$0.961568\pi$
$212$	8.43245	+	1.81306i	0.579143	+	0.124522i
$213$	2.79165	+	4.34389i	0.191281	+	0.297638i
$214$	−5.03426	−	12.1124i	−0.344135	−	0.827987i
$215$	0.246528	+	0.284508i	0.0168130	+	0.0194033i
$216$	0.111185	+	2.82624i	0.00756518	+	0.192301i
$217$	−0.309146	+	0.676936i	−0.0209862	+	0.0459534i
$218$	4.23964	−	1.08755i	0.287145	−	0.0736585i
$219$	3.57862	+	12.1877i	0.241821	+	0.823565i
$220$	−0.756439	+	1.39330i	−0.0509991	+	0.0939361i
$221$	26.3376	−	3.78678i	1.77166	−	0.254726i
$222$	1.82089	−	1.47099i	0.122210	−	0.0987265i
$223$	−3.19761	−	7.00180i	−0.214128	−	0.468875i	0.771838	−	0.635819i	$-0.219337\pi$
$223$	−3.19761	−	7.00180i	−0.214128	−	0.468875i	−0.985966	+	0.166944i	$0.946610\pi$
$224$	−0.976585	−	2.31803i	−0.0652509	−	0.154880i
$225$	0.706028	−	4.91053i	0.0470685	−	0.327369i
$226$	−8.82021	+	12.7363i	−0.586712	+	0.847206i
$227$	−0.489020	−	0.423738i	−0.0324574	−	0.0281245i	0.638481	−	0.769638i	$-0.279563\pi$
$227$	−0.489020	−	0.423738i	−0.0324574	−	0.0281245i	−0.670938	+	0.741513i	$0.734109\pi$
$228$	3.25025	+	1.20335i	0.215253	+	0.0796939i
$229$		−	1.68365i		−	0.111259i	−0.998451	−	0.0556294i	$-0.982283\pi$
$229$		−	1.68365i		−	0.111259i	0.998451	−	0.0556294i	$-0.0177165\pi$
$230$	1.31270	−	0.263732i	0.0865569	−	0.0173900i
$231$	1.78546			0.117475
$232$	5.31444	+	2.17881i	0.348910	+	0.143046i
$233$	−3.12896	+	3.61101i	−0.204985	+	0.236565i	−0.848928	−	0.528508i	$-0.822752\pi$
$233$	−3.12896	+	3.61101i	−0.204985	+	0.236565i	0.643944	+	0.765073i	$0.277297\pi$
$234$	−4.44383	−	3.07746i	−0.290502	−	0.201180i
$235$	1.33710	+	0.192246i	0.0872229	+	0.0125408i
$236$	11.1672	+	20.3344i	0.726924	+	1.32366i
$237$	−13.8970	+	6.34655i	−0.902707	+	0.412253i
$238$	3.40533	−	2.75097i	0.220735	−	0.178319i
$239$	3.29774	+	22.9363i	0.213313	+	1.48363i	0.761988	+	0.647591i	$0.224223\pi$
$239$	3.29774	+	22.9363i	0.213313	+	1.48363i	−0.548675	+	0.836036i	$0.684868\pi$
$240$	0.423710	−	0.666356i	0.0273504	−	0.0430131i
$241$	10.1510	−	2.98061i	0.653885	−	0.191998i	0.0620701	−	0.998072i	$-0.480230\pi$
$241$	10.1510	−	2.98061i	0.653885	−	0.191998i	0.591815	+	0.806074i	$0.298412\pi$
$242$	1.80035	+	7.01833i	0.115731	+	0.451155i
$243$	0.909632	+	0.415415i	0.0583529	+	0.0266489i
$244$	−15.8561	+	1.17252i	−1.01508	+	0.0750629i
$245$	1.01487	−	0.879393i	0.0648379	−	0.0561824i
$246$	−0.856449	−	2.06061i	−0.0546052	−	0.131380i
$247$	−5.57212	+	3.58098i	−0.354546	+	0.227853i
$248$	4.59090	+	1.15407i	0.291522	+	0.0732836i
$249$	10.7610	+	6.91569i	0.681952	+	0.438264i
$250$	−1.89255	+	2.03767i	−0.119696	+	0.128874i
$251$	4.71240	−	16.0490i	0.297444	−	1.01300i	−0.666192	−	0.745781i	$-0.732077\pi$
$251$	4.71240	−	16.0490i	0.297444	−	1.01300i	0.963635	−	0.267220i	$-0.0861051\pi$
$252$	−0.887194	−	0.0613017i	−0.0558880	−	0.00386164i
$253$	11.2523	−	15.6277i	0.707423	−	0.982505i
$254$	0.700711	−	20.3064i	0.0439665	−	1.27414i
$255$	1.31864	+	0.387189i	0.0825767	+	0.0242467i
$256$	−13.3759	+	8.77978i	−0.835995	+	0.548737i
$257$	−15.1195	−	9.71669i	−0.943126	−	0.606110i	−0.0238466	−	0.999716i	$-0.507591\pi$
$257$	−15.1195	−	9.71669i	−0.943126	−	0.606110i	−0.919280	+	0.393605i	$0.871228\pi$
$258$	−2.65455	−	0.475627i	−0.165265	−	0.0296112i
$259$	0.397911	+	0.619161i	0.0247250	+	0.0384728i
$260$	0.530793	+	1.41269i	0.0329184	+	0.0876112i
$261$	1.53471	−	1.32984i	0.0949964	−	0.0823149i
$262$	2.00144	+	18.4071i	0.123649	+	1.13719i
$263$	−4.09866	+	8.97481i	−0.252734	+	0.553411i	−0.992891	−	0.119023i	$-0.962024\pi$
$263$	−4.09866	+	8.97481i	−0.252734	+	0.553411i	0.740157	+	0.672434i	$0.234751\pi$
$264$	−2.05696	−	11.1694i	−0.126597	−	0.687430i
$265$	−0.816880	+	0.239858i	−0.0501806	+	0.0147343i
$266$	−0.486605	+	0.975051i	−0.0298357	+	0.0597842i
$267$	8.39876	−	1.20756i	0.513995	−	0.0739014i
$268$	−13.7450	+	10.3412i	−0.839608	+	0.631690i
$269$	−11.3349	+	5.17650i	−0.691104	+	0.315617i	−0.729826	−	0.683633i	$-0.760399\pi$
$269$	−11.3349	+	5.17650i	−0.691104	+	0.315617i	0.0387216	+	0.999250i	$0.487671\pi$
$270$	−0.142750	−	0.239932i	−0.00868750	−	0.0146018i
$271$	−2.29961	+	15.9942i	−0.139692	+	0.971577i	0.792567	+	0.609785i	$0.208744\pi$
$271$	−2.29961	+	15.9942i	−0.139692	+	0.971577i	−0.932259	+	0.361792i	$0.882165\pi$
$272$	−21.1325	−	18.1336i	−1.28135	−	1.09951i
$273$	1.11297	−	1.28444i	0.0673603	−	0.0777379i
$274$	7.92048	−	23.8934i	0.478494	−	1.44345i
$275$			19.9205i			1.20125i
$276$	−6.12778	+	7.37904i	−0.368849	+	0.444166i
$277$			24.4639i			1.46990i	0.678124	+	0.734948i	$0.262793\pi$
$277$			24.4639i			1.46990i	−0.678124	+	0.734948i	$0.737207\pi$
$278$	−10.3825	−	3.44171i	−0.622700	−	0.206420i
$279$	1.09599	−	1.26484i	0.0656154	−	0.0757242i
$280$	0.193886	+	0.155089i	0.0115869	+	0.00926835i
$281$	−3.11619	+	21.6736i	−0.185896	+	1.29294i	0.656601	+	0.754238i	$0.271993\pi$
$281$	−3.11619	+	21.6736i	−0.185896	+	1.29294i	−0.842498	+	0.538700i	$0.818916\pi$
$282$	−8.31644	+	4.94795i	−0.495237	+	0.294646i
$283$	22.3096	−	10.1884i	1.32617	−	0.605640i	0.378707	−	0.925517i	$-0.376369\pi$
$283$	22.3096	−	10.1884i	1.32617	−	0.605640i	0.947459	+	0.319877i	$0.103642\pi$
$284$	6.20878	+	8.25238i	0.368424	+	0.489688i
$285$	−0.338623	+	0.0486867i	−0.0200583	+	0.00288395i
$286$	19.4207	+	9.69202i	1.14837	+	0.573101i
$287$	0.673207	−	0.197671i	0.0397381	−	0.0116682i
$288$	0.638614	+	5.62069i	0.0376307	+	0.331202i
$289$	13.0703	−	28.6200i	0.768842	−	1.68353i
$290$	−0.563627	+	0.0612842i	−0.0330973	+	0.00359873i
$291$	−0.301249	+	0.261034i	−0.0176595	+	0.0153021i
$292$	8.93533	+	23.7811i	0.522901	+	1.39168i
$293$	12.3718	+	19.2508i	0.722767	+	1.12465i	0.987083	+	0.160211i	$0.0512173\pi$
$293$	12.3718	+	19.2508i	0.722767	+	1.12465i	−0.264316	+	0.964436i	$0.585146\pi$
$294$	−1.69662	+	9.46909i	−0.0989486	+	0.552248i
$295$	−1.92640	−	1.23802i	−0.112159	−	0.0720804i
$296$	3.41490	−	3.20254i	0.198487	−	0.186144i
$297$	−3.85274	−	1.13127i	−0.223559	−	0.0656428i
$298$	−8.65198	−	0.298553i	−0.501196	−	0.0172947i
$299$	−4.22824	−	17.8363i	−0.244526	−	1.03150i
$300$	0.683945	−	9.89845i	0.0394876	−	0.571488i
$301$	0.238890	−	0.813584i	0.0137694	−	0.0468942i
$302$	−2.29279	−	2.12950i	−0.131935	−	0.122539i
$303$	−4.69982	−	3.02039i	−0.269998	−	0.173517i
$304$	6.66028	+	1.92076i	0.381993	+	0.110163i
$305$	1.32025	−	0.848475i	0.0755974	−	0.0485835i
$306$	−9.09116	+	3.77854i	−0.519707	+	0.216005i
$307$	−4.33702	+	3.75805i	−0.247527	+	0.214483i	−0.769783	−	0.638305i	$-0.779636\pi$
$307$	−4.33702	+	3.75805i	−0.247527	+	0.214483i	0.522257	+	0.852788i	$0.325090\pi$
$308$	3.56121	−	0.263342i	0.202919	−	0.0150053i
$309$	−12.4504	−	5.68589i	−0.708277	−	0.323459i
$310$	−0.452600	+	0.116101i	−0.0257060	+	0.00659410i
$311$	−16.8027	+	4.93372i	−0.952793	+	0.279765i	−0.720949	−	0.692988i	$-0.756294\pi$
$311$	−16.8027	+	4.93372i	−0.952793	+	0.279765i	−0.231844	+	0.972753i	$0.574476\pi$
$312$	−9.31736	−	5.48274i	−0.527491	−	0.310399i
$313$	2.42164	+	16.8429i	0.136879	+	0.952017i	0.936289	+	0.351230i	$0.114237\pi$
$313$	2.42164	+	16.8429i	0.136879	+	0.952017i	−0.799410	+	0.600786i	$0.794854\pi$
$314$	3.91822	+	4.85023i	0.221118	+	0.273714i
$315$	0.0798488	−	0.0364657i	0.00449897	−	0.00205461i
$316$	−26.7823	+	14.7082i	−1.50662	+	0.827403i
$317$	14.8119	+	2.12963i	0.831920	+	0.119612i	0.545098	−	0.838372i	$-0.316492\pi$
$317$	14.8119	+	2.12963i	0.831920	+	0.119612i	0.286821	+	0.957984i	$0.407401\pi$
$318$	3.47230	−	5.01396i	0.194717	−	0.281169i
$319$	−5.33982	+	6.16248i	−0.298973	+	0.345033i
$320$	0.746831	−	1.39158i	0.0417491	−	0.0777915i
$321$	−9.27508			−0.517684
$322$	−2.09825	−	2.16619i	−0.116931	−	0.120717i
$323$			12.0639i			0.671252i
$324$	1.87558	+	0.694404i	0.104199	+	0.0385780i
$325$	14.3305	+	12.4175i	0.794915	+	0.688798i
$326$	15.1734	+	10.5079i	0.840375	+	0.581981i
$327$	0.440456	−	3.06344i	0.0243573	−	0.169409i
$328$	−2.01216	−	3.98369i	−0.111103	−	0.219962i
$329$	−1.26396	−	2.76769i	−0.0696844	−	0.152588i
$330$	0.704473	+	0.872042i	0.0387800	+	0.0480043i
$331$	−6.52886	+	0.938708i	−0.358858	+	0.0515960i	−0.319386	−	0.947625i	$-0.603477\pi$
$331$	−6.52886	+	0.938708i	−0.358858	+	0.0515960i	−0.0394721	+	0.999221i	$0.512568\pi$
$332$	22.4835	+	12.2065i	1.23394	+	0.669921i
$333$	−0.466327	−	1.58816i	−0.0255546	−	0.0870309i
$334$	−7.11226	−	27.7259i	−0.389165	−	1.51709i
$335$	0.705308	−	1.54441i	0.0385351	−	0.0843800i
$336$	−1.77860	+	0.00858493i	−0.0970305	+	0.000468346i
$337$	−7.23547	−	8.35018i	−0.394141	−	0.454863i	0.523646	−	0.851936i	$-0.324572\pi$
$337$	−7.23547	−	8.35018i	−0.394141	−	0.454863i	−0.917787	+	0.397073i	$0.870026\pi$
$338$	2.10145	−	0.873423i	0.114304	−	0.0475080i
$339$	5.92254	+	9.21565i	0.321668	+	0.500525i
$340$	2.68721	+	0.577779i	0.145735	+	0.0313345i
$341$	−3.63325	+	5.65345i	−0.196752	+	0.306152i
$342$	1.66781	−	1.79569i	0.0901846	−	0.0970998i
$343$	−5.88865	−	1.72906i	−0.317957	−	0.0933607i
$344$	−5.36479	−	0.557137i	−0.289250	−	0.0300388i
$345$	0.184044	−	0.928707i	0.00990858	−	0.0499999i
$346$	33.0741	+	1.14129i	1.77808	+	0.0613559i
$347$	5.36081	−	18.2572i	0.287783	−	0.980100i	−0.681019	−	0.732265i	$-0.738463\pi$
$347$	5.36081	−	18.2572i	0.287783	−	0.980100i	0.968802	−	0.247834i	$-0.0797188\pi$
$348$	2.86493	−	2.87879i	0.153576	−	0.154319i
$349$	−17.1482	+	26.6832i	−0.917924	+	1.42832i	−0.0143437	+	0.999897i	$0.504566\pi$
$349$	−17.1482	+	26.6832i	−0.917924	+	1.42832i	−0.903580	+	0.428420i	$0.859070\pi$
$350$	3.07078	+	0.550204i	0.164140	+	0.0294096i
$351$	−3.21544	+	2.06644i	−0.171627	+	0.110298i
$352$	−5.75013	−	21.9746i	−0.306483	−	1.17125i
$353$	8.51452	+	9.82628i	0.453182	+	0.523000i	0.935657	−	0.352910i	$-0.114808\pi$
$353$	8.51452	+	9.82628i	0.453182	+	0.523000i	−0.482475	+	0.875909i	$0.660262\pi$
$354$	16.3081	−	1.77321i	0.866765	−	0.0942450i
$355$	−0.927250	−	0.423461i	−0.0492133	−	0.0224750i
$356$	16.5737	−	3.64729i	0.878403	−	0.193306i
$357$	−0.872100	−	2.97010i	−0.0461564	−	0.157194i
$358$	−0.476481	+	0.954765i	−0.0251828	+	0.0504609i
$359$	−2.31498	−	16.1010i	−0.122180	−	0.849780i	−0.955078	−	0.296354i	$-0.904229\pi$
$359$	−2.31498	−	16.1010i	−0.122180	−	0.849780i	0.832898	−	0.553426i	$-0.186680\pi$
$360$	−0.320111	−	0.457503i	−0.0168713	−	0.0241125i
$361$	6.64538	+	14.5513i	0.349757	+	0.765860i
$362$	−26.5674	+	15.8066i	−1.39635	+	0.830775i
$363$	5.07124	+	0.729134i	0.266171	+	0.0382696i
$364$	2.03044	−	2.72604i	0.106424	−	0.142883i
$365$	−1.89512	−	1.64213i	−0.0991949	−	0.0859528i
$366$	−3.53752	+	10.6715i	−0.184909	+	0.557809i
$367$	−22.0640			−1.15173			−0.575867	−	0.817544i	$-0.695335\pi$
$367$	−22.0640			−1.15173			−0.575867	+	0.817544i	$0.695335\pi$
$368$	−11.1338	+	15.6217i	−0.580392	+	0.814338i
$369$	−1.57792			−0.0821430
$370$	−0.145406	+	0.438640i	−0.00755929	+	0.0228038i
$371$	1.44923	+	1.25577i	0.0752404	+	0.0651962i
$372$	1.99946	−	2.68445i	0.103667	−	0.139182i
$373$	−30.6498	−	4.40677i	−1.58699	−	0.228174i	−0.708418	−	0.705793i	$-0.750591\pi$
$373$	−30.6498	−	4.40677i	−1.58699	−	0.228174i	−0.878567	+	0.477619i	$0.841500\pi$
$374$	33.9738	−	20.2130i	1.75674	−	1.04519i
$375$	0.816894	+	1.78875i	0.0421842	+	0.0923706i
$376$	−15.8578	+	11.0956i	−0.817804	+	0.572210i
$377$	1.10462	+	7.68280i	0.0568908	+	0.395684i
$378$	−0.280799	+	0.562661i	−0.0144428	+	0.0289402i
$379$	−5.79107	−	19.7226i	−0.297467	−	1.01308i	−0.963622	−	0.267267i	$-0.913879\pi$
$379$	−5.79107	−	19.7226i	−0.297467	−	1.01308i	0.666155	−	0.745813i	$-0.267939\pi$
$380$	−0.668222	+	0.147053i	−0.0342790	+	0.00754364i
$381$	−13.0690	−	5.96841i	−0.669544	−	0.305771i
$382$	−27.5977	+	3.00075i	−1.41202	+	0.153532i
$383$	−15.0371	−	17.3537i	−0.768358	−	0.886732i	0.227854	−	0.973695i	$-0.426829\pi$
$383$	−15.0371	−	17.3537i	−0.768358	−	0.886732i	−0.996212	+	0.0869634i	$0.972284\pi$
$384$	2.10276	+	11.1166i	0.107306	+	0.567291i
$385$	−0.296522	+	0.190563i	−0.0151122	+	0.00971201i
$386$	2.97313	+	0.532708i	0.151328	+	0.0271141i
$387$	−1.03097	+	1.60422i	−0.0524072	+	0.0815471i
$388$	−0.562357	+	0.565078i	−0.0285494	+	0.0286875i
$389$	3.84233	−	13.0858i	0.194814	−	0.663475i	−0.802914	−	0.596096i	$-0.796718\pi$
$389$	3.84233	−	13.0858i	0.194814	−	0.663475i	0.997727	−	0.0673796i	$-0.0214639\pi$
$390$	1.06647	+	0.0368006i	0.0540029	+	0.00186347i
$391$	−31.4926	−	11.0847i	−1.59265	−	0.560579i
$392$	−1.98737	+	19.1368i	−0.100377	+	0.966556i
$393$	12.5622	+	3.68858i	0.633677	+	0.186064i
$394$	23.6560	−	25.4699i	1.19177	−	1.28315i
$395$	1.63059	−	2.53724i	0.0820437	−	0.127662i
$396$	−7.85136	−	1.68812i	−0.394545	−	0.0848314i
$397$	−16.6318	−	25.8796i	−0.834728	−	1.29886i	−0.952104	−	0.305774i	$-0.901085\pi$
$397$	−16.6318	−	25.8796i	−0.834728	−	1.29886i	0.117376	−	0.993087i	$-0.462552\pi$
$398$	−1.00651	+	0.418333i	−0.0504517	+	0.0209691i
$399$	0.504606	+	0.582347i	0.0252619	+	0.0291538i
$400$	−0.0957823	−	19.8439i	−0.00478912	−	0.992194i
$401$	6.98493	−	15.2949i	0.348811	−	0.763789i	−0.651178	−	0.758925i	$-0.725725\pi$
$401$	6.98493	−	15.2949i	0.348811	−	0.763789i	0.999988	−	0.00486331i	$-0.00154805\pi$
$402$	3.02215	+	11.7813i	0.150731	+	0.587598i
$403$	1.80222	+	6.13781i	0.0897752	+	0.305746i
$404$	−9.81953	−	5.33115i	−0.488540	−	0.265235i
$405$	−0.195405	+	0.0280950i	−0.00970976	+	0.00139605i
$406$	0.802471	+	0.993350i	0.0398260	+	0.0492991i
$407$	2.76098	+	6.04571i	0.136857	+	0.299675i
$408$	−17.5755	+	8.87738i	−0.870117	+	0.439496i
$409$	1.59003	−	11.0589i	0.0786219	−	0.546828i	−0.911999	−	0.410192i	$-0.865462\pi$
$409$	1.59003	−	11.0589i	0.0786219	−	0.546828i	0.990621	−	0.136636i	$-0.0436291\pi$
$410$	0.362166	+	0.250809i	0.0178861	+	0.0123866i
$411$	−13.4518	−	11.6561i	−0.663529	−	0.574951i
$412$	−25.6716	−	9.50448i	−1.26475	−	0.468252i
$413$			5.15778i			0.253798i
$414$	3.15518	+	6.00373i	0.155069	+	0.295067i
$415$	−2.52526			−0.123960
$416$	−19.3926	−	9.56138i	−0.950802	−	0.468785i
$417$	−5.06494	+	5.84526i	−0.248031	+	0.286244i
$418$	−5.60259	+	8.09008i	−0.274031	+	0.395699i
$419$	−12.2425	−	1.76021i	−0.598085	−	0.0859916i	−0.163378	−	0.986564i	$-0.552239\pi$
$419$	−12.2425	−	1.76021i	−0.598085	−	0.0859916i	−0.434707	+	0.900572i	$0.643148\pi$
$420$	0.153884	−	0.0845099i	0.00750878	−	0.00412366i
$421$	6.71231	−	3.06541i	0.327138	−	0.149399i	−0.245075	−	0.969504i	$-0.578812\pi$
$421$	6.71231	−	3.06541i	0.327138	−	0.149399i	0.572213	+	0.820105i	$0.306085\pi$
$422$	16.4729	+	20.3912i	0.801887	+	0.992627i
$423$	0.973819	+	6.77306i	0.0473487	+	0.329318i
$424$	6.18617	−	10.5128i	0.300427	−	0.510545i
$425$	33.1375	−	9.73005i	1.60740	−	0.471977i
$426$	7.07340	−	1.81447i	0.342708	−	0.0879115i
$427$	−3.21543	−	1.46844i	−0.155606	−	0.0710627i
$428$	−18.4996	+	1.36800i	−0.894214	+	0.0661250i
$429$	11.5990	−	10.0506i	0.560003	−	0.485245i
$430$	0.491620	−	0.204331i	0.0237080	−	0.00985372i
$431$	−8.94127	+	5.74620i	−0.430686	+	0.276785i	−0.737971	−	0.674833i	$-0.764216\pi$
$431$	−8.94127	+	5.74620i	−0.430686	+	0.276785i	0.307285	+	0.951617i	$0.400579\pi$
$432$	3.84337	+	1.10839i	0.184914	+	0.0533275i
$433$	−6.04512	−	3.88496i	−0.290510	−	0.186699i	0.387266	−	0.921968i	$-0.373420\pi$
$433$	−6.04512	−	3.88496i	−0.290510	−	0.186699i	−0.677776	+	0.735269i	$0.737056\pi$
$434$	0.771139	+	0.716221i	0.0370158	+	0.0343797i
$435$	−0.112945	+	0.384654i	−0.00541528	+	0.0184428i
$436$	0.426679	−	6.17516i	0.0204342	−	0.295736i
$437$	8.27722	−	0.746652i	0.395953	−	0.0357172i
$438$	17.9529	+	0.619500i	0.857823	+	0.0296008i
$439$	31.7923	+	9.33505i	1.51736	+	0.445538i	0.931155	−	0.364624i	$-0.118802\pi$
$439$	31.7923	+	9.33505i	1.51736	+	0.445538i	0.586207	+	0.810161i	$0.300621\pi$
$440$	1.53373	+	1.63543i	0.0731177	+	0.0779661i
$441$	5.72244	+	3.67759i	0.272497	+	0.175123i
$442$	6.63664	−	37.0402i	0.315673	−	1.76182i
$443$	3.82839	+	5.95709i	0.181892	+	0.283030i	0.920211	−	0.391422i	$-0.128017\pi$
$443$	3.82839	+	5.95709i	0.181892	+	0.283030i	−0.738319	+	0.674451i	$0.764380\pi$
$444$	−1.16436	−	3.09890i	−0.0552579	−	0.147067i
$445$	−1.26595	+	1.09695i	−0.0600116	+	0.0520004i
$446$	−10.8220	+	1.17669i	−0.512435	+	0.0557181i
$447$	−2.54297	+	5.56833i	−0.120278	+	0.263373i
$448$	−3.54625	+	0.279453i	−0.167544	+	0.0132029i
$449$	26.3256	−	7.72990i	1.24238	−	0.364796i	0.406472	−	0.913663i	$-0.366759\pi$
$449$	26.3256	−	7.72990i	1.24238	−	0.364796i	0.835910	+	0.548867i	$0.184941\pi$
$450$	−6.27763	−	3.13289i	−0.295930	−	0.147686i
$451$	6.27146	−	0.901700i	0.295312	−	0.0424594i
$452$	13.1721	+	17.5076i	0.619562	+	0.823487i
$453$	−2.01270	+	0.919169i	−0.0945649	+	0.0431863i
$454$	−0.786426	+	0.467892i	−0.0369088	+	0.0219593i
$455$	−0.0477492	+	0.332103i	−0.00223851	+	0.0155692i
$456$	3.06168	−	3.82759i	0.143376	−	0.179243i
$457$	12.2330	−	14.1177i	0.572237	−	0.660397i	−0.393680	−	0.919248i	$-0.628798\pi$
$457$	12.2330	−	14.1177i	0.572237	−	0.660397i	0.965917	+	0.258850i	$0.0833436\pi$
$458$	−2.26010	−	0.749206i	−0.105608	−	0.0350081i
$459$			6.96156i			0.324938i
$460$	0.230108	−	1.87950i	0.0107288	−	0.0876322i
$461$		−	10.9027i		−	0.507788i	−0.967232	−	0.253894i	$-0.918289\pi$
$461$		−	10.9027i		−	0.507788i	0.967232	−	0.253894i	$-0.0817114\pi$
$462$	0.794511	−	2.39677i	0.0369640	−	0.111508i
$463$	7.66224	−	8.84270i	0.356095	−	0.410955i	−0.549233	−	0.835669i	$-0.685080\pi$
$463$	7.66224	−	8.84270i	0.356095	−	0.410955i	0.905327	+	0.424714i	$0.139625\pi$
$464$	5.28966	−	6.16446i	0.245566	−	0.286178i
$465$	−0.0470206	+	0.327036i	−0.00218053	+	0.0151659i
$466$	3.45500	+	5.80711i	0.160050	+	0.269009i
$467$	−24.5502	+	11.2117i	−1.13605	+	0.518816i	−0.892488	−	0.451070i	$-0.851042\pi$
$467$	−24.5502	+	11.2117i	−1.13605	+	0.518816i	−0.243560	+	0.969886i	$0.578315\pi$
$468$	−6.10858	+	4.59587i	−0.282369	+	0.212444i
$469$	−3.78527	+	0.544240i	−0.174788	+	0.0251307i
$470$	0.853062	−	1.70935i	0.0393488	−	0.0788465i
$471$	4.23033	−	1.24214i	0.194923	−	0.0572347i
$472$	32.2658	−	5.94208i	1.48515	−	0.273506i
$473$	3.18088	−	6.96516i	0.146257	−	0.320258i
$474$	2.33548	+	21.4792i	0.107272	+	0.986573i
$475$	−6.49726	+	5.62991i	−0.298115	+	0.258318i
$476$	−2.17752	−	5.79540i	−0.0998064	−	0.265632i
$477$	−2.33156	−	3.62797i	−0.106755	−	0.166113i
$478$	32.2567	+	5.77957i	1.47539	+	0.264351i
$479$	6.74159	+	4.33256i	0.308031	+	0.197960i	0.685519	−	0.728055i	$-0.259575\pi$
$479$	6.74159	+	4.33256i	0.308031	+	0.197960i	−0.377487	+	0.926015i	$0.623212\pi$
$480$	−0.705957	−	0.865301i	−0.0322224	−	0.0394954i
$481$	6.07028	+	1.78239i	0.276781	+	0.0812702i
$482$	0.515978	−	14.9529i	0.0235021	−	0.681085i
$483$	−1.98386	+	0.782186i	−0.0902687	+	0.0355907i
$484$	10.2224	+	0.706328i	0.464655	+	0.0321058i
$485$	0.0221699	−	0.0755039i	0.00100668	−	0.00342845i
$486$	0.962421	−	1.03622i	0.0436563	−	0.0470038i
$487$	−15.2066	−	9.77270i	−0.689078	−	0.442844i	0.148680	−	0.988885i	$-0.452498\pi$
$487$	−15.2066	−	9.77270i	−0.689078	−	0.442844i	−0.837758	+	0.546042i	$0.816134\pi$
$488$	−5.48182	+	21.8067i	−0.248150	+	0.987142i
$489$	10.9791	−	7.05581i	0.496490	−	0.319075i
$490$	−0.728873	−	1.75367i	−0.0329271	−	0.0792226i
$491$	25.5446	−	22.1345i	1.15281	−	0.998915i	0.152866	−	0.988247i	$-0.451150\pi$
$491$	25.5446	−	22.1345i	1.15281	−	0.998915i	0.999943	−	0.0106683i	$-0.00339590\pi$
$492$	−3.14724	+	0.232731i	−0.141888	+	0.0104923i
$493$	12.8594	+	5.87270i	0.579159	+	0.264493i
$494$	2.32751	+	9.07340i	0.104720	+	0.408232i
$495$	0.760588	−	0.223329i	0.0341859	−	0.0100379i
$496$	3.59210	−	5.64918i	0.161290	−	0.253656i
$497$	0.326757	+	2.27265i	0.0146571	+	0.101942i
$498$	14.0720	−	11.3680i	0.630582	−	0.509412i
$499$	4.53611	−	2.07157i	0.203064	−	0.0927363i	−0.311287	−	0.950316i	$-0.600760\pi$
$499$	4.53611	−	2.07157i	0.203064	−	0.0927363i	0.514351	+	0.857580i	$0.328033\pi$
$500$	1.89317	+	3.44727i	0.0846650	+	0.154167i
$501$	−20.0339	−	2.88044i	−0.895049	−	0.128689i
$502$	−19.4468	−	13.4674i	−0.867955	−	0.601081i
$503$	−13.9444	+	16.0927i	−0.621751	+	0.717539i	−0.976039	−	0.217598i	$-0.930178\pi$
$503$	−13.9444	+	16.0927i	−0.621751	+	0.717539i	0.354288	+	0.935137i	$0.384723\pi$
$504$	−0.477082	+	1.16367i	−0.0212509	+	0.0518342i
$505$	1.10289			0.0490781
$506$	−15.9712	−	22.0589i	−0.710006	−	0.980640i
$507$		−	1.60919i		−	0.0714666i
$508$	−26.9471	−	9.97673i	−1.19558	−	0.442646i
$509$	0.230606	+	0.199821i	0.0102214	+	0.00885691i	0.659956	−	0.751304i	$-0.270575\pi$
$509$	0.230606	+	0.199821i	0.0102214	+	0.00885691i	−0.649735	+	0.760161i	$0.725120\pi$
$510$	1.10654	−	1.59783i	0.0489982	−	0.0707530i
$511$	−0.803807	+	5.59060i	−0.0355583	+	0.247314i
$512$	5.83368	+	21.8625i	0.257815	+	0.966194i
$513$	−0.719884	−	1.57633i	−0.0317837	−	0.0695965i
$514$	−19.7715	+	15.9723i	−0.872083	+	0.704506i
$515$	2.67456	−	0.384544i	0.117855	−	0.0169450i
$516$	−1.81972	+	3.35177i	−0.0801085	+	0.147553i
$517$	−7.74093	−	26.3632i	−0.340446	−	1.15945i
$518$	1.00822	−	0.258628i	0.0442984	−	0.0113635i
$519$	9.72107	−	21.2862i	0.426708	−	0.934359i
$520$	2.13256	−	0.0838955i	0.0935190	−	0.00367906i
$521$	−0.743244	−	0.857749i	−0.0325621	−	0.0375787i	0.739235	−	0.673448i	$-0.235187\pi$
$521$	−0.743244	−	0.857749i	−0.0325621	−	0.0375787i	−0.771797	+	0.635869i	$0.780642\pi$
$522$	−1.10222	−	2.65193i	−0.0482427	−	0.116072i
$523$	−2.50941	−	3.90472i	−0.109729	−	0.170742i	0.782046	−	0.623221i	$-0.214176\pi$
$523$	−2.50941	−	3.90472i	−0.109729	−	0.170742i	−0.891775	+	0.452479i	$0.850540\pi$
$524$	25.6000	+	5.50426i	1.11834	+	0.240455i
$525$	1.19262	−	1.85576i	0.0520504	−	0.0809920i
$526$	10.2238	+	9.49565i	0.445777	+	0.414030i
$527$	11.1791	+	3.28248i	0.486969	+	0.142987i
$528$	−15.9089	−	2.20904i	−0.692348	−	0.0961360i
$529$	−5.65630	+	22.2936i	−0.245926	+	0.969289i
$530$	−0.0415221	+	1.20330i	−0.00180360	+	0.0522679i
$531$	3.26796	−	11.1297i	0.141817	−	0.482986i
$532$	1.09236	+	1.08710i	0.0473596	+	0.0471316i
$533$	3.26066	−	5.07369i	0.141235	−	0.219766i
$534$	2.11635	−	11.8117i	0.0915833	−	0.511141i
$535$	1.54037	−	0.989933i	0.0665958	−	0.0427985i
$536$	7.76549	+	23.0527i	0.335418	+	0.995726i
$537$	0.494107	+	0.570230i	0.0213223	+	0.0246073i
$538$	1.90491	+	17.5193i	0.0821264	+	0.755310i
$539$	−24.8455	−	11.3466i	−1.07017	−	0.488732i
$540$	−0.385603	+	0.0848579i	−0.0165937	+	0.00365170i
$541$	−10.5833	−	36.0432i	−0.455009	−	1.54962i	−0.793452	−	0.608633i	$-0.791718\pi$
$541$	−10.5833	−	36.0432i	−0.455009	−	1.54962i	0.338442	−	0.940987i	$-0.390100\pi$
$542$	20.4470	+	10.2042i	0.878272	+	0.438307i
$543$	3.11093	+	21.6370i	0.133503	+	0.928533i
$544$	−33.7459	+	20.2987i	−1.44685	+	0.870298i
$545$	0.253813	+	0.555773i	0.0108722	+	0.0238067i
$546$	−1.22895	−	2.06560i	−0.0525941	−	0.0883994i
$547$	−9.63985	−	1.38600i	−0.412170	−	0.0592611i	−0.0668890	−	0.997760i	$-0.521307\pi$
$547$	−9.63985	−	1.38600i	−0.412170	−	0.0592611i	−0.345281	+	0.938499i	$0.612216\pi$
$548$	−28.5495	−	21.2646i	−1.21958	−	0.908378i
$549$	6.00798	+	5.20595i	0.256414	+	0.222184i
$550$	26.7409	+	8.86438i	1.14023	+	0.377979i
$551$	−3.51909			−0.149918
$552$	7.17869	+	11.5094i	0.305545	+	0.489873i
$553$	−6.79326			−0.288879
$554$	32.8399	+	10.8862i	1.39523	+	0.462509i
$555$	0.246951	+	0.213984i	0.0104825	+	0.00908313i
$556$	−9.24018	+	12.4057i	−0.391871	+	0.526120i
$557$	37.0837	+	5.33183i	1.57129	+	0.225917i	0.872210	−	0.489131i	$-0.162686\pi$
$557$	37.0837	+	5.33183i	1.57129	+	0.225917i	0.699075	+	0.715048i	$0.253595\pi$
$558$	−1.21020	−	2.03408i	−0.0512317	−	0.0861095i
$559$	−3.02784	−	6.63004i	−0.128064	−	0.280421i
$560$	0.294466	−	0.191256i	0.0124435	−	0.00808206i
$561$	−3.97818	−	27.6689i	−0.167959	−	1.16818i
$562$	27.7075	+	13.8276i	1.16877	+	0.583283i
$563$	−3.91938	−	13.3482i	−0.165182	−	0.562559i	−0.999929	−	0.0119249i	$-0.996204\pi$
$563$	−3.91938	−	13.3482i	−0.165182	−	0.562559i	0.834747	−	0.550634i	$-0.185614\pi$
$564$	2.94131	+	13.3656i	0.123852	+	0.562794i
$565$	−1.96718	−	0.898381i	−0.0827599	−	0.0377952i
$566$	−3.74926	−	34.4817i	−0.157593	−	1.44937i
$567$	0.291187	+	0.336048i	0.0122287	+	0.0141127i
$568$	13.8407	−	4.66234i	0.580741	−	0.195627i
$569$	21.2201	−	13.6373i	0.889594	−	0.571707i	−0.0140934	−	0.999901i	$-0.504486\pi$
$569$	21.2201	−	13.6373i	0.889594	−	0.571707i	0.903687	+	0.428194i	$0.140850\pi$
$570$	−0.0853274	+	0.476226i	−0.00357397	+	0.0199469i
$571$	12.2896	−	19.1229i	0.514302	−	0.800270i	−0.482848	−	0.875704i	$-0.660398\pi$
$571$	12.2896	−	19.1229i	0.514302	−	0.800270i	0.997151	+	0.0754337i	$0.0240341\pi$
$572$	21.6524	−	21.7571i	0.905331	−	0.909712i
$573$	−5.53027	+	18.8344i	−0.231030	+	0.786817i
$574$	0.0342192	−	0.991661i	0.00142828	−	0.0413911i
$575$	−8.72688	−	22.1340i	−0.363936	−	0.923051i
$576$	7.82928	+	1.64388i	0.326220	+	0.0684950i
$577$	18.8726	+	5.54149i	0.785676	+	0.230695i	0.649875	−	0.760041i	$-0.274821\pi$
$577$	18.8726	+	5.54149i	0.785676	+	0.230695i	0.135801	+	0.990736i	$0.456639\pi$
$578$	−32.6028	−	30.2809i	−1.35610	−	1.25952i
$579$	1.15470	−	1.79675i	0.0479877	−	0.0746703i
$580$	−0.168541	+	0.783872i	−0.00699827	+	0.0325485i
$581$	3.07510	+	4.78494i	0.127576	+	0.198513i
$582$	0.216354	+	0.520548i	0.00896818	+	0.0215774i
$583$	11.3400	+	13.0871i	0.469656	+	0.542012i
$584$	35.8994	−	1.41229i	1.48553	−	0.0584411i
$585$	0.313455	−	0.686370i	0.0129598	−	0.0283779i
$586$	31.3473	−	8.04121i	1.29494	−	0.332179i
$587$	0.648546	+	2.20874i	0.0267684	+	0.0911646i	0.971794	−	0.235832i	$-0.0757816\pi$
$587$	0.648546	+	2.20874i	0.0267684	+	0.0911646i	−0.945025	+	0.326997i	$0.893963\pi$
$588$	11.9561	+	6.49114i	0.493063	+	0.267690i
$589$	−2.87076	+	0.412752i	−0.118287	+	0.0170072i
$590$	−2.51912	+	2.03506i	−0.103711	+	0.0837819i
$591$	−10.2108	−	22.3584i	−0.420015	−	0.919704i
$592$	−2.77944	−	6.00919i	−0.114234	−	0.246976i
$593$	−1.68085	+	11.6906i	−0.0690243	+	0.480075i	0.925763	+	0.378104i	$0.123424\pi$
$593$	−1.68085	+	11.6906i	−0.0690243	+	0.480075i	−0.994787	+	0.101971i	$0.967485\pi$
$594$	−3.23302	+	4.66844i	−0.132652	+	0.191549i
$595$	0.461835	+	0.400182i	0.0189334	+	0.0164059i
$596$	−4.25080	+	11.4814i	−0.174120	+	0.470296i
$597$			0.770734i			0.0315440i
$598$	−25.8246	−	2.26104i	−1.05605	−	0.0924606i
$599$	−8.87202			−0.362501			−0.181250	−	0.983437i	$-0.558014\pi$
$599$	−8.87202			−0.362501			−0.181250	+	0.983437i	$0.558014\pi$
$600$	−12.9831	−	5.32281i	−0.530035	−	0.217303i
$601$	−6.94657	+	8.01677i	−0.283357	+	0.327011i	−0.879529	−	0.475846i	$-0.842142\pi$
$601$	−6.94657	+	8.01677i	−0.283357	+	0.327011i	0.596172	+	0.802857i	$0.296688\pi$
$602$	−0.985835	−	0.682716i	−0.0401797	−	0.0278254i
$603$	8.51283	+	1.22396i	0.346669	+	0.0498435i
$604$	−3.87887	+	2.13019i	−0.157829	+	0.0866762i
$605$	−0.920031	+	0.420164i	−0.0374046	+	0.0170821i
$606$	−6.14588	+	4.96491i	−0.249659	+	0.201686i
$607$	1.64193	+	11.4199i	0.0666439	+	0.463518i	0.995629	+	0.0934004i	$0.0297737\pi$
$607$	1.64193	+	11.4199i	0.0666439	+	0.463518i	−0.928985	+	0.370118i	$0.879317\pi$
$608$	5.54214	−	8.08591i	0.224764	−	0.327927i
$609$	0.866392	−	0.254396i	0.0351080	−	0.0103086i
$610$	−0.551479	−	2.14984i	−0.0223287	−	0.0870446i
$611$	−23.7907	−	10.8648i	−0.962468	−	0.439545i
$612$	1.02678	+	13.8852i	0.0415050	+	0.561276i
$613$	14.6194	−	12.6678i	0.590474	−	0.511648i	−0.307587	−	0.951520i	$-0.599521\pi$
$613$	14.6194	−	12.6678i	0.590474	−	0.511648i	0.898061	+	0.439872i	$0.144976\pi$
$614$	3.11481	+	7.49422i	0.125703	+	0.302442i
$615$	0.262053	−	0.168412i	0.0105670	−	0.00679101i
$616$	1.23119	−	4.89768i	0.0496061	−	0.197333i
$617$	−14.2014	−	9.12669i	−0.571727	−	0.367427i	0.222606	−	0.974908i	$-0.428543\pi$
$617$	−14.2014	−	9.12669i	−0.571727	−	0.367427i	−0.794334	+	0.607482i	$0.792180\pi$
$618$	−13.1729	+	14.1830i	−0.529892	+	0.570523i
$619$	0.391077	−	1.33189i	0.0157187	−	0.0535330i	−0.951260	−	0.308389i	$-0.900210\pi$
$619$	0.391077	−	1.33189i	0.0157187	−	0.0535330i	0.966979	+	0.254856i	$0.0820282\pi$
$620$	−0.0455499	+	0.659225i	−0.00182933	+	0.0264751i
$621$	4.77644	−	0.430861i	0.191672	−	0.0172899i
$622$	−0.854082	+	24.7511i	−0.0342456	+	0.992427i
$623$	3.62012	+	1.06296i	0.145037	+	0.0425867i
$624$	−11.5060	+	10.0677i	−0.460610	+	0.403030i
$625$	20.5408	+	13.2008i	0.821633	+	0.528032i
$626$	23.6872	+	4.24413i	0.946730	+	0.169630i
$627$	3.76199	+	5.85377i	0.150239	+	0.233777i
$628$	8.25442	−	3.10145i	0.329387	−	0.123761i
$629$	8.70839	−	7.54586i	0.347226	−	0.300873i
$630$	−0.0134191	−	0.123414i	−0.000534628	−	0.00491694i
$631$	−14.2432	+	31.1882i	−0.567012	+	1.24158i	0.381361	+	0.924426i	$0.375455\pi$
$631$	−14.2432	+	31.1882i	−0.567012	+	1.24158i	−0.948373	+	0.317157i	$0.897272\pi$
$632$	7.82625	+	42.4970i	0.311312	+	1.69044i
$633$	17.7850	−	5.22215i	0.706891	−	0.207562i
$634$	9.44990	−	18.9356i	0.375304	−	0.752027i
$635$	2.80745	−	0.403651i	0.111410	−	0.0160184i
$636$	−5.18552	−	6.89230i	−0.205619	−	0.273298i
$637$	−23.6501	+	10.8006i	−0.937052	+	0.427937i
$638$	5.89623	+	9.91030i	0.233434	+	0.392353i
$639$	0.734856	−	5.11103i	0.0290704	−	0.202189i
$640$	−1.53569	−	1.62177i	−0.0607037	−	0.0641060i
$641$	22.0700	−	25.4701i	0.871712	−	1.00601i	−0.128186	−	0.991750i	$-0.540915\pi$
$641$	22.0700	−	25.4701i	0.871712	−	1.00601i	0.999898	−	0.0142594i	$-0.00453907\pi$
$642$	−4.12730	+	12.4507i	−0.162892	+	0.491389i
$643$			21.9137i			0.864193i	0.901827	+	0.432097i	$0.142226\pi$
$643$			21.9137i			0.864193i	−0.901827	+	0.432097i	$0.857774\pi$
$644$	−3.84155	+	1.85272i	−0.151378	+	0.0730073i
$645$		−	0.376458i		−	0.0148230i
$646$	16.1943	+	5.36829i	0.637157	+	0.211212i
$647$	−8.70923	+	10.0510i	−0.342395	+	0.395145i	−0.900665	−	0.434515i	$-0.856920\pi$
$647$	−8.70923	+	10.0510i	−0.342395	+	0.395145i	0.558270	+	0.829659i	$0.311465\pi$
$648$	1.76677	−	2.20874i	0.0694051	−	0.0867675i
$649$	−6.62855	+	46.1026i	−0.260193	+	1.80968i
$650$	23.0459	−	13.7114i	0.903935	−	0.537805i
$651$	0.676936	−	0.309146i	0.0265312	−	0.0121164i
$652$	20.8576	−	15.6925i	0.816848	−	0.614567i
$653$	−49.5028	+	7.11743i	−1.93719	+	0.278527i	−0.997910	−	0.0646141i	$-0.979418\pi$
$653$	−49.5028	+	7.11743i	−1.93719	+	0.278527i	−0.939284	+	0.343141i	$0.888509\pi$
$654$	−3.91630	−	1.95445i	−0.153140	−	0.0764252i
$655$	−2.47996	+	0.728181i	−0.0968999	+	0.0284524i
$656$	−6.24301	+	0.928387i	−0.243749	+	0.0362474i
$657$	5.27668	−	11.5543i	0.205863	−	0.450777i
$658$	−4.27774	+	0.465127i	−0.166764	+	0.0181325i
$659$	13.9734	−	12.1080i	0.544325	−	0.471660i	−0.338760	−	0.940873i	$-0.610008\pi$
$659$	13.9734	−	12.1080i	0.544325	−	0.471660i	0.883085	+	0.469212i	$0.155462\pi$
$660$	1.48409	−	0.557622i	0.0577683	−	0.0217054i
$661$	15.3843	+	23.9384i	0.598380	+	0.931098i	0.999884	+	0.0152402i	$0.00485130\pi$
$661$	15.3843	+	23.9384i	0.598380	+	0.931098i	−0.401504	+	0.915857i	$0.631512\pi$
$662$	−1.64516	+	9.18192i	−0.0639411	+	0.356866i
$663$	−22.3844	−	14.3856i	−0.869340	−	0.558691i
$664$	26.3907	−	24.7496i	1.02416	−	0.960470i
$665$	−0.145957	−	0.0428568i	−0.00565997	−	0.00166192i
$666$	−2.33943	−	0.0807265i	−0.0906511	−	0.00312809i
$667$	3.23347	−	9.18653i	0.125200	−	0.355704i
$668$	−40.3836	−	2.79035i	−1.56249	−	0.107962i
$669$	−2.16861	+	7.38559i	−0.0838432	+	0.285544i
$670$	−1.75933	−	1.63404i	−0.0679688	−	0.0631283i
$671$	−26.8538	−	17.2579i	−1.03668	−	0.666233i
$672$	−0.779932	+	2.39138i	−0.0300865	+	0.0922493i
$673$	12.8869	−	8.28189i	0.496752	−	0.319243i	−0.268164	−	0.963373i	$-0.586417\pi$
$673$	12.8869	−	8.28189i	0.496752	−	0.319243i	0.764916	+	0.644130i	$0.222780\pi$
$674$	−14.4288	+	5.99702i	−0.555778	+	0.230997i
$675$	−3.74929	+	3.24878i	−0.144310	+	0.125046i
$676$	−0.237343	−	3.20962i	−0.00912859	−	0.123447i
$677$	−19.8356	−	9.05860i	−0.762343	−	0.348150i	−0.00398778	−	0.999992i	$-0.501269\pi$
$677$	−19.8356	−	9.05860i	−0.762343	−	0.348150i	−0.758355	+	0.651842i	$0.773997\pi$
$678$	15.0064	−	3.84944i	0.576316	−	0.147837i
$679$	−0.170064	+	0.0499354i	−0.00652646	+	0.00191634i
$680$	1.97138	−	3.35016i	0.0755989	−	0.128473i
$681$	0.0920871	+	0.640480i	0.00352878	+	0.0245432i
$682$	5.97233	+	7.39293i	0.228692	+	0.283090i
$683$	−4.86278	+	2.22076i	−0.186069	+	0.0849749i	−0.506271	−	0.862374i	$-0.668976\pi$
$683$	−4.86278	+	2.22076i	−0.186069	+	0.0849749i	0.320202	+	0.947349i	$0.396249\pi$
$684$	−1.66834	−	3.03789i	−0.0637908	−	0.116157i
$685$	3.47807	+	0.500072i	0.132890	+	0.0191068i
$686$	−4.94144	+	7.13540i	−0.188665	+	0.272431i
$687$	−1.10256	+	1.27242i	−0.0420652	+	0.0485458i
$688$	−3.13516	+	6.95367i	−0.119527	+	0.265106i
$689$	16.4835			0.627973
$690$	−1.16478	−	0.660321i	−0.0443424	−	0.0251380i
$691$			21.2827i			0.809632i	0.914398	+	0.404816i	$0.132664\pi$
$691$			21.2827i			0.809632i	−0.914398	+	0.404816i	$0.867336\pi$
$692$	16.2497	−	43.8902i	0.617719	−	1.66846i
$693$	−1.34936	−	1.16923i	−0.0512581	−	0.0444154i
$694$	−22.1227	−	15.3205i	−0.839764	−	0.581558i
$695$	0.217298	−	1.51134i	0.00824258	−	0.0573284i
$696$	−2.58957	−	5.12685i	−0.0981575	−	0.194333i
$697$	−4.56323	−	9.99208i	−0.172845	−	0.378477i
$698$	28.1882	+	34.8931i	1.06694	+	1.32073i
$699$	4.72941	−	0.679987i	0.178883	−	0.0257195i
$700$	2.10504	−	3.87731i	0.0795631	−	0.146549i
$701$	−9.59910	−	32.6915i	−0.362553	−	1.23474i	−0.915769	−	0.401705i	$-0.868418\pi$
$701$	−9.59910	−	32.6915i	−0.362553	−	1.23474i	0.553216	−	0.833038i	$-0.313400\pi$
$702$	1.34311	+	5.23588i	0.0506924	+	0.197616i
$703$	−1.19156	+	2.60916i	−0.0449406	+	0.0984062i
$704$	−32.0571	−	2.05960i	−1.20820	−	0.0776240i
$705$	−0.884620	−	1.02091i	−0.0333167	−	0.0384495i
$706$	16.9795	−	7.05714i	0.639030	−	0.265599i
$707$	−1.34303	−	2.08980i	−0.0505099	−	0.0785950i
$708$	4.87659	−	22.6807i	0.183273	−	0.852393i
$709$	6.61371	−	10.2911i	0.248383	−	0.386492i	−0.694566	−	0.719429i	$-0.744403\pi$
$709$	6.61371	−	10.2911i	0.248383	−	0.386492i	0.942949	+	0.332938i	$0.108040\pi$
$710$	−0.981062	+	1.05629i	−0.0368186	+	0.0396418i
$711$	14.6588	+	4.30420i	0.549746	+	0.161420i
$712$	2.47904	−	23.8712i	0.0929058	−	0.894610i
$713$	1.56027	−	7.87332i	0.0584326	−	0.294858i
$714$	−4.37508	−	0.150970i	−0.163733	−	0.00564993i
$715$	−0.853606	+	2.90712i	−0.0319231	+	0.108720i
$716$	1.06963	+	1.06448i	0.0399739	+	0.0397814i
$717$	12.5278	−	19.4937i	0.467860	−	0.728004i
$718$	−22.6438	−	4.05719i	−0.845061	−	0.151413i
$719$	34.8188	−	22.3767i	1.29852	−	0.834509i	0.305471	−	0.952201i	$-0.401186\pi$
$719$	34.8188	−	22.3767i	1.29852	−	0.834509i	0.993050	+	0.117692i	$0.0375497\pi$
$720$	−0.756589	+	0.226127i	−0.0281964	+	0.00842726i
$721$	−3.98555	−	4.59957i	−0.148430	−	0.171297i
$722$	22.4906	−	2.44544i	0.837012	−	0.0910099i
$723$	−9.62352	−	4.39491i	−0.357903	−	0.163449i
$724$	9.39622	+	42.6974i	0.349208	+	1.58683i
$725$	2.83830	+	9.66636i	0.105412	+	0.359000i
$726$	3.23542	−	6.48307i	0.120078	−	0.240609i
$727$	0.340319	+	2.36697i	0.0126217	+	0.0877861i	0.995159	−	0.0982818i	$-0.0313347\pi$
$727$	0.340319	+	2.36697i	0.0126217	+	0.0877861i	−0.982537	+	0.186068i	$0.940426\pi$
$728$	−2.75586	−	3.93868i	−0.102139	−	0.145977i
$729$	−0.415415	−	0.909632i	−0.0153857	−	0.0336901i
$730$	−3.04766	+	1.81324i	−0.112799	+	0.0671110i
$731$	−13.1402	−	1.88927i	−0.486006	−	0.0698771i
$732$	12.7511	+	9.49741i	0.471294	+	0.351034i
$733$	20.6670	+	17.9081i	0.763353	+	0.661449i	0.946888	−	0.321564i	$-0.104209\pi$
$733$	20.6670	+	17.9081i	0.763353	+	0.661449i	−0.183535	+	0.983013i	$0.558754\pi$
$734$	−9.81824	+	29.6183i	−0.362398	+	1.09323i
$735$	−1.34287			−0.0495325
$736$	16.0158	+	21.8973i	0.590352	+	0.807146i
$737$	−34.5339			−1.27207
$738$	−0.702154	+	2.11816i	−0.0258467	+	0.0779706i
$739$	19.3759	+	16.7893i	0.712754	+	0.617605i	0.933857	−	0.357646i	$-0.116420\pi$
$739$	19.3759	+	16.7893i	0.712754	+	0.617605i	−0.221104	+	0.975250i	$0.570966\pi$
$740$	0.524118	+	0.390380i	0.0192670	+	0.0143506i
$741$	6.55617	+	0.942636i	0.240847	+	0.0346286i
$742$	2.33061	−	1.38662i	0.0855594	−	0.0509044i
$743$	−14.7259	−	32.2452i	−0.540240	−	1.18296i	−0.961193	−	0.275878i	$-0.911031\pi$
$743$	−14.7259	−	32.2452i	−0.540240	−	1.18296i	0.420952	−	0.907083i	$-0.361696\pi$
$744$	−2.71381	−	3.87859i	−0.0994932	−	0.142196i
$745$	−0.171984	−	1.19618i	−0.00630101	−	0.0438245i
$746$	−19.5544	+	39.1827i	−0.715936	+	1.43458i
$747$	−3.60383	−	12.2735i	−0.131857	−	0.449064i
$748$	−12.0156	−	54.6003i	−0.439336	−	1.99638i
$749$	−3.75151	−	1.71326i	−0.137077	−	0.0626011i
$750$	2.76469	−	0.300610i	0.100952	−	0.0109767i
$751$	2.71923	+	3.13815i	0.0992260	+	0.114513i	0.803191	−	0.595722i	$-0.203134\pi$
$751$	2.71923	+	3.13815i	0.0992260	+	0.114513i	−0.703965	+	0.710235i	$0.748589\pi$
$752$	7.83793	+	26.2246i	0.285820	+	0.956313i
$753$	−14.0712	+	9.04303i	−0.512784	+	0.329546i
$754$	10.8048	+	1.93594i	0.393487	+	0.0705027i
$755$	0.236157	−	0.367468i	0.00859465	−	0.0133735i
$756$	0.630353	+	0.627318i	0.0229257	+	0.0228153i
$757$	14.3099	−	48.7349i	0.520100	−	1.77130i	−0.109072	−	0.994034i	$-0.534788\pi$
$757$	14.3099	−	48.7349i	0.520100	−	1.77130i	0.629173	−	0.777266i	$-0.283394\pi$
$758$	−29.0522	−	1.00250i	−1.05522	−	0.0364125i
$759$	−18.7378	+	4.44196i	−0.680141	+	0.161233i
$760$	−0.0999504	+	0.962444i	−0.00362558	+	0.0349115i
$761$	−25.5861	−	7.51277i	−0.927497	−	0.272338i	−0.217108	−	0.976148i	$-0.569662\pi$
$761$	−25.5861	−	7.51277i	−0.927497	−	0.272338i	−0.710388	+	0.703810i	$0.751481\pi$
$762$	−13.8274	+	14.8877i	−0.500915	+	0.539324i
$763$	0.744019	−	1.15772i	0.0269353	−	0.0419122i
$764$	−8.25250	+	38.3819i	−0.298565	+	1.38861i
$765$	−0.743010	−	1.15615i	−0.0268636	−	0.0418005i
$766$	−29.9866	+	12.4633i	−1.08346	+	0.450316i
$767$	29.0337	+	33.5066i	1.04835	+	1.20986i
$768$	15.8584	+	2.12405i	0.572240	+	0.0766450i
$769$	−19.6255	+	42.9737i	−0.707712	+	1.54967i	0.122651	+	0.992450i	$0.460860\pi$
$769$	−19.6255	+	42.9737i	−0.707712	+	1.54967i	−0.830363	+	0.557223i	$0.811867\pi$
$770$	0.123859	+	0.482844i	0.00446359	+	0.0174005i
$771$	5.06345	+	17.2445i	0.182356	+	0.621046i
$772$	2.03811	−	3.75402i	0.0733530	−	0.135110i
$773$	−12.3148	+	1.77060i	−0.442931	+	0.0636839i	−0.360172	−	0.932886i	$-0.617282\pi$
$773$	−12.3148	+	1.77060i	−0.442931	+	0.0636839i	−0.0827587	+	0.996570i	$0.526373\pi$
$774$	1.69470	+	2.09781i	0.0609149	+	0.0754044i
$775$	3.44915	+	7.55259i	0.123897	+	0.271297i
$776$	0.508307	+	1.00635i	0.0182472	+	0.0361259i
$777$	0.104743	−	0.728507i	0.00375765	−	0.0261350i
$778$	−15.8563	−	10.9809i	−0.568476	−	0.393684i
$779$	2.06653	+	1.79066i	0.0740412	+	0.0641571i
$780$	0.523968	−	1.41523i	0.0187611	−	0.0506735i
$781$			20.7339i			0.741916i
$782$	−28.8938	+	37.3425i	−1.03324	+	1.33536i
$783$	−2.03072			−0.0725719
$784$	24.8046	+	11.1835i	0.885877	+	0.399410i
$785$	−0.569982	+	0.657794i	−0.0203435	+	0.0234777i
$786$	10.5415	−	15.2218i	0.376003	−	0.542945i
$787$	−32.5531	−	4.68043i	−1.16039	−	0.166839i	−0.464894	−	0.885366i	$-0.653907\pi$
$787$	−32.5531	−	4.68043i	−1.16039	−	0.166839i	−0.695499	+	0.718527i	$0.744817\pi$
$788$	−23.6636	−	43.0891i	−0.842981	−	1.53499i
$789$	8.97481	−	4.09866i	0.319512	−	0.145916i
$790$	−2.68035	−	3.31791i	−0.0953626	−	0.118046i
$791$	0.693222	+	4.82146i	0.0246481	+	0.171432i
$792$	−5.75987	+	9.78831i	−0.204668	+	0.347812i
$793$	−29.1545	+	8.56053i	−1.03531	+	0.303993i
$794$	−42.1413	+	10.8101i	−1.49554	+	0.383636i
$795$	0.774430	+	0.353670i	0.0274662	+	0.0125434i
$796$	0.113677	+	1.53727i	0.00402919	+	0.0544871i
$797$	27.1292	−	23.5075i	0.960964	−	0.832680i	−0.0249917	−	0.999688i	$-0.507956\pi$
$797$	27.1292	−	23.5075i	0.960964	−	0.832680i	0.985956	+	0.167008i	$0.0534105\pi$
$798$	1.00627	−	0.418236i	0.0356217	−	0.0148054i
$799$	−40.0739	+	25.7539i	−1.41771	+	0.911108i
$800$	−26.6807	−	8.70172i	−0.943304	−	0.307652i
$801$	−7.13814	−	4.58740i	−0.252214	−	0.162088i
$802$	−17.4233	−	16.1825i	−0.615238	−	0.571423i
$803$	−14.3696	+	48.9382i	−0.507091	+	1.72699i
$804$	17.1598	+	1.18568i	0.605180	+	0.0418156i
$805$	0.245988	−	0.341640i	0.00866993	−	0.0120412i
$806$	9.04125	+	0.311986i	0.318464	+	0.0109892i
$807$	11.9563	+	3.51068i	0.420881	+	0.123582i
$808$	−11.5260	+	10.8093i	−0.405484	+	0.380268i
$809$	−35.8134	−	23.0159i	−1.25913	−	0.809195i	−0.270967	−	0.962589i	$-0.587344\pi$
$809$	−35.8134	−	23.0159i	−1.25913	−	0.809195i	−0.988165	+	0.153393i	$0.950980\pi$
$810$	−0.0492389	+	0.274810i	−0.00173008	+	0.00965584i
$811$	−8.65177	−	13.4624i	−0.303805	−	0.472729i	0.655463	−	0.755227i	$-0.272473\pi$
$811$	−8.65177	−	13.4624i	−0.303805	−	0.472729i	−0.959268	+	0.282498i	$0.908837\pi$
$812$	1.69054	−	0.635192i	0.0593265	−	0.0222909i
$813$	12.2119	−	10.5817i	0.428290	−	0.371115i
$814$	9.34425	−	1.01602i	0.327516	−	0.0356114i
$815$	−1.07029	+	2.34360i	−0.0374905	+	0.0820927i
$816$	4.09592	+	27.5433i	0.143386	+	0.964210i
$817$	3.17073	−	0.931011i	0.110930	−	0.0325720i
$818$	−14.1377	−	7.05551i	−0.494313	−	0.246690i
$819$	−1.68226	+	0.241872i	−0.0587829	+	0.00845171i
$820$	0.497840	−	0.374557i	0.0173853	−	0.0130801i
$821$	−21.4773	+	9.80834i	−0.749562	+	0.342314i	−0.753298	−	0.657679i	$-0.771538\pi$
$821$	−21.4773	+	9.80834i	−0.749562	+	0.342314i	0.00373575	+	0.999993i	$0.498811\pi$
$822$	−21.6328	+	12.8706i	−0.754529	+	0.448915i
$823$	−2.87236	+	19.9777i	−0.100124	+	0.696379i	0.876496	+	0.481408i	$0.159875\pi$
$823$	−2.87236	+	19.9777i	−0.100124	+	0.696379i	−0.976621	+	0.214970i	$0.931035\pi$
$824$	−24.1822	+	30.2316i	−0.842426	+	1.05317i
$825$	13.0451	−	15.0549i	0.454173	−	0.524144i
$826$	6.92371	+	2.29515i	0.240907	+	0.0798586i
$827$			37.1298i			1.29113i	0.763705	+	0.645566i	$0.223378\pi$
$827$			37.1298i			1.29113i	−0.763705	+	0.645566i	$0.776622\pi$
$828$	9.46331	−	1.56386i	0.328873	−	0.0543480i
$829$		−	9.07324i		−	0.315127i	−0.987509	−	0.157563i	$-0.949636\pi$
$829$		−	9.07324i		−	0.315127i	0.987509	−	0.157563i	$-0.0503639\pi$
$830$	−1.12371	+	3.38986i	−0.0390046	+	0.117664i
$831$	16.0205	−	18.4886i	0.555744	−	0.641363i
$832$	−21.4645	+	21.7776i	−0.744148	+	0.755002i
$833$	−6.73924	+	46.8725i	−0.233501	+	1.62403i
$834$	5.59272	+	9.40016i	0.193660	+	0.325501i
$835$	3.63458	−	1.65986i	0.125780	−	0.0574417i
$836$	8.36688	+	11.1208i	0.289375	+	0.384621i
$837$	−1.65659	+	0.238182i	−0.0572602	+	0.00823277i
$838$	−7.81063	+	15.6508i	−0.269814	+	0.540648i
$839$	49.1282	−	14.4254i	1.69610	−	0.498019i	0.716262	−	0.697832i	$-0.245852\pi$
$839$	49.1282	−	14.4254i	1.69610	−	0.498019i	0.979834	+	0.199813i	$0.0640336\pi$
$840$	−0.0449677	−	0.244177i	−0.00155153	−	0.00842491i
$841$	10.3339	−	22.6282i	0.356343	−	0.780282i
$842$	−1.12804	−	10.3745i	−0.0388750	−	0.357530i
$843$	16.5482	−	14.3391i	0.569952	−	0.493866i
$844$	34.7030	−	13.0390i	1.19452	−	0.448822i
$845$	0.171749	+	0.267247i	0.00590836	+	0.00919359i
$846$	9.52536	+	1.70670i	0.327489	+	0.0586775i
$847$	1.91649	+	1.23165i	0.0658515	+	0.0423202i
$848$	−11.3594	−	12.9822i	−0.390082	−	0.445812i
$849$	−23.5325	−	6.90975i	−0.807632	−	0.237142i
$850$	1.68438	−	48.8129i	0.0577738	−	1.67427i
$851$	−5.71632	−	5.50794i	−0.195953	−	0.188810i
$852$	0.711871	−	10.3026i	0.0243883	−	0.352962i
$853$	−13.1499	+	44.7846i	−0.450245	+	1.53340i	0.351767	+	0.936088i	$0.385581\pi$
$853$	−13.1499	+	44.7846i	−0.450245	+	1.53340i	−0.802012	+	0.597308i	$0.796237\pi$
$854$	−3.40203	+	3.66290i	−0.116415	+	0.125342i
$855$	0.287797	+	0.184956i	0.00984246	+	0.00632537i
$856$	−6.39575	+	25.4423i	−0.218602	+	0.869600i
$857$	−26.9557	+	17.3234i	−0.920789	+	0.591755i	−0.912887	−	0.408213i	$-0.866152\pi$
$857$	−26.9557	+	17.3234i	−0.920789	+	0.591755i	−0.00790285	+	0.999969i	$0.502516\pi$
$858$	−8.33027	−	20.0426i	−0.284391	−	0.684243i
$859$	37.4386	−	32.4407i	1.27739	−	1.10686i	0.288614	−	0.957446i	$-0.406806\pi$
$859$	37.4386	−	32.4407i	1.27739	−	1.10686i	0.988774	−	0.149417i	$-0.0477398\pi$
$860$	−0.0555247	−	0.750866i	−0.00189338	−	0.0256043i
$861$	−0.638223	−	0.291467i	−0.0217506	−	0.00993316i
$862$	3.73483	+	14.5596i	0.127209	+	0.495901i
$863$	−22.4956	+	6.60531i	−0.765759	+	0.224847i	−0.641209	−	0.767366i	$-0.721567\pi$
$863$	−22.4956	+	6.60531i	−0.765759	+	0.224847i	−0.124550	+	0.992213i	$0.539749\pi$
$864$	3.19814	−	4.66604i	0.108803	−	0.158742i
$865$	0.657448	+	4.57265i	0.0223539	+	0.155475i
$866$	−7.90511	+	6.38609i	−0.268627	+	0.217008i
$867$	−28.6200	+	13.0703i	−0.971986	+	0.443891i
$868$	1.30459	−	0.716452i	0.0442806	−	0.0243180i
$869$	−60.7212	−	8.73039i	−2.05983	−	0.296158i
$870$	0.466093	+	0.322782i	0.0158020	+	0.0109433i
$871$	−21.5268	+	24.8432i	−0.729407	+	0.841781i
$872$	−8.09954	−	3.32064i	−0.274285	−	0.112451i
$873$	0.398610			0.0134909
$874$	2.68098	−	11.4434i	0.0906855	−	0.387080i
$875$			0.874393i			0.0295599i
$876$	8.82045	−	23.8240i	0.298015	−	0.804937i
$877$	25.7376	+	22.3018i	0.869099	+	0.753078i	0.970330	−	0.241785i	$-0.0777328\pi$
$877$	25.7376	+	22.3018i	0.869099	+	0.753078i	−0.101231	+	0.994863i	$0.532278\pi$
$878$	26.6784	−	38.5233i	0.900352	−	1.30010i
$879$	3.25667	−	22.6506i	0.109845	−	0.763986i
$880$	2.87786	−	1.33110i	0.0970127	−	0.0448714i
$881$	12.3521	+	27.0473i	0.416152	+	0.911245i	0.995374	+	0.0960755i	$0.0306290\pi$
$881$	12.3521	+	27.0473i	0.416152	+	0.911245i	−0.579222	+	0.815170i	$0.696644\pi$
$882$	7.48315	−	6.04521i	0.251971	−	0.203553i
$883$	−34.1252	+	4.90646i	−1.14840	+	0.165115i	−0.690123	−	0.723692i	$-0.742443\pi$
$883$	−34.1252	+	4.90646i	−1.14840	+	0.165115i	−0.458280	+	0.888808i	$0.651534\pi$
$884$	−46.7687	−	25.3913i	−1.57300	−	0.854003i
$885$	0.645144	+	2.19716i	0.0216863	+	0.0738566i
$886$	9.70027	−	2.48832i	0.325887	−	0.0835967i
$887$	−11.5973	+	25.3945i	−0.389399	+	0.852664i	0.608837	+	0.793295i	$0.291636\pi$
$887$	−11.5973	+	25.3945i	−0.389399	+	0.852664i	−0.998236	+	0.0593693i	$0.981091\pi$
$888$	−4.67803	+	0.184035i	−0.156984	+	0.00617580i
$889$	−4.18358	−	4.82811i	−0.140313	−	0.161930i
$890$	0.909191	+	2.18751i	0.0304762	+	0.0733255i
$891$	2.17089	+	3.37796i	0.0727274	+	0.113166i
$892$	−3.23608	+	15.0508i	−0.108352	+	0.503939i
$893$	6.41088	−	9.97552i	0.214532	−	0.333818i
$894$	6.34322	+	5.89147i	0.212149	+	0.197040i
$895$	−0.142920	−	0.0419652i	−0.00477730	−	0.00140274i
$896$	−1.20291	+	4.88476i	−0.0401863	+	0.163188i
$897$	−8.48479	+	16.2487i	−0.283299	+	0.542528i
$898$	1.33813	−	38.7787i	0.0446541	−	1.29406i
$899$	−0.957514	+	3.26099i	−0.0319349	+	0.108760i
$900$	−6.99900	+	7.03286i	−0.233300	+	0.234429i
$901$	16.2313	−	25.2563i	0.540742	−	0.841411i
$902$	1.58030	−	8.81993i	0.0526184	−	0.293672i
$903$	−0.713325	+	0.458426i	−0.0237380	+	0.0152555i
$904$	29.3633	−	9.89124i	0.976607	−	0.328978i
$905$	−2.82598	−	3.26135i	−0.0939387	−	0.108411i
$906$	0.338246	+	3.11083i	0.0112375	+	0.103350i
$907$	−19.9038	−	9.08978i	−0.660896	−	0.301821i	0.0565861	−	0.998398i	$-0.481978\pi$
$907$	−19.9038	−	9.08978i	−0.660896	−	0.301821i	−0.717483	+	0.696576i	$0.754706\pi$
$908$	0.278138	+	1.26389i	0.00923035	+	0.0419436i
$909$	1.57395	+	5.36039i	0.0522047	+	0.177793i
$910$	0.424560	+	0.211879i	0.0140740	+	0.00702373i
$911$	−3.50436	−	24.3734i	−0.116105	−	0.807526i	−0.961779	−	0.273827i	$-0.911710\pi$
$911$	−3.50436	−	24.3734i	−0.116105	−	0.807526i	0.845674	−	0.533699i	$-0.179199\pi$
$912$	−3.77567	−	5.81317i	−0.125025	−	0.192493i
$913$	21.3372	+	46.7219i	0.706158	+	1.54627i
$914$	−13.5077	−	22.7036i	−0.446796	−	0.750968i
$915$	−1.55341	−	0.223347i	−0.0513542	−	0.00738363i
$916$	−2.01144	+	2.70053i	−0.0664598	+	0.0892280i
$917$	4.39971	+	3.81237i	0.145291	+	0.125895i
$918$	9.34506	+	3.09781i	0.308433	+	0.102243i
$919$	−2.68875			−0.0886938			−0.0443469	−	0.999016i	$-0.514121\pi$
$919$	−2.68875			−0.0886938			−0.0443469	+	0.999016i	$0.514121\pi$
$920$	−2.42061	−	1.14525i	−0.0798051	−	0.0377577i
$921$	5.73870			0.189097
$922$	−14.6355	−	4.85156i	−0.481995	−	0.159778i
$923$	14.9157	+	12.9245i	0.490955	+	0.425415i
$924$	−2.86383	−	2.13307i	−0.0942132	−	0.0701729i
$925$	8.12797	+	1.16863i	0.267246	+	0.0384242i
$926$	−8.46066	−	14.2205i	−0.278034	−	0.467316i
$927$	5.68589	+	12.4504i	0.186749	+	0.408924i
$928$	−5.92121	−	9.84384i	−0.194373	−	0.323140i
$929$	1.54987	+	10.7796i	0.0508495	+	0.353666i	0.999322	+	0.0368077i	$0.0117189\pi$
$929$	1.54987	+	10.7796i	0.0508495	+	0.353666i	−0.948473	+	0.316858i	$0.897372\pi$
$930$	0.418082	+	0.208647i	0.0137095	+	0.00684179i
$931$	−3.32103	−	11.3104i	−0.108842	−	0.370683i
$932$	9.33278	−	2.05382i	0.305705	−	0.0672752i
$933$	15.9295	+	7.27477i	0.521509	+	0.238165i
$934$	4.12581	+	37.9448i	0.135001	+	1.24159i
$935$	3.61379	+	4.17053i	0.118184	+	0.136391i
$936$	3.45116	+	10.2451i	0.112805	+	0.334873i
$937$	−38.8130	+	24.9436i	−1.26796	+	0.814871i	−0.989353	−	0.145533i	$-0.953510\pi$
$937$	−38.8130	+	24.9436i	−1.26796	+	0.814871i	−0.278611	+	0.960404i	$0.589874\pi$
$938$	−0.953825	+	5.32345i	−0.0311435	+	0.173817i
$939$	9.19959	−	14.3148i	0.300217	−	0.467147i
$940$	−1.91500	−	1.90578i	−0.0624603	−	0.0621596i
$941$	−9.65302	+	32.8752i	−0.314679	+	1.07170i	0.638582	+	0.769553i	$0.279521\pi$
$941$	−9.65302	+	32.8752i	−0.314679	+	1.07170i	−0.953262	+	0.302146i	$0.902297\pi$
$942$	0.215028	−	6.23145i	0.00700599	−	0.203032i
$943$	−6.57330	+	3.74933i	−0.214056	+	0.122095i
$944$	6.38139	−	45.9572i	0.207696	−	1.49578i
$945$	−0.0842256	−	0.0247309i	−0.00273986	−	0.000804495i
$946$	−7.93444	−	7.36937i	−0.257971	−	0.239599i
$947$	1.06889	−	1.66322i	0.0347341	−	0.0540473i	−0.823452	−	0.567385i	$-0.807955\pi$
$947$	1.06889	−	1.66322i	0.0347341	−	0.0540473i	0.858186	+	0.513338i	$0.171591\pi$
$948$	29.8725	+	6.42290i	0.970215	+	0.208606i
$949$	26.2482	+	40.8431i	0.852054	+	1.32582i
$950$	4.66627	+	11.2270i	0.151394	+	0.364253i
$951$	−9.79948	−	11.3092i	−0.317770	−	0.366726i
$952$	−8.74860	+	0.344172i	−0.283544	+	0.0111547i
$953$	23.7779	−	52.0664i	0.770243	−	1.68660i	0.0441268	−	0.999026i	$-0.485949\pi$
$953$	23.7779	−	52.0664i	0.770243	−	1.68660i	0.726117	−	0.687572i	$-0.241323\pi$
$954$	−5.90764	+	1.51543i	−0.191267	+	0.0490639i
$955$	−1.09176	−	3.71818i	−0.0353284	−	0.120318i
$956$	22.1122	−	40.7289i	0.715161	−	1.31727i
$957$	8.07113	−	1.16045i	0.260903	−	0.0375121i
$958$	8.81587	−	7.12184i	0.284828	−	0.230096i
$959$	−3.28782	−	7.19932i	−0.106169	−	0.232478i
$960$	−1.47571	+	0.562614i	−0.0476282	+	0.0181583i
$961$	4.01313	−	27.9119i	0.129456	−	0.900385i
$962$	5.09385	−	7.35547i	0.164232	−	0.237150i
$963$	7.00964	+	6.07389i	0.225882	+	0.195728i
$964$	−19.8428	−	7.34650i	−0.639095	−	0.236615i
$965$			0.421638i			0.0135730i
$966$	0.167197	+	3.01116i	0.00537947	+	0.0968824i
$967$	34.5613			1.11142			0.555709	−	0.831377i	$-0.312447\pi$
$967$	34.5613			1.11142			0.555709	+	0.831377i	$0.312447\pi$
$968$	5.49701	−	13.4080i	0.176681	−	0.430951i
$969$	7.90016	−	9.11727i	0.253790	−	0.292889i
$970$	−0.0914895	−	0.0633588i	−0.00293755	−	0.00203433i
$971$	25.4234	+	3.65534i	0.815877	+	0.117305i	0.537605	−	0.843197i	$-0.319329\pi$
$971$	25.4234	+	3.65534i	0.815877	+	0.117305i	0.278272	+	0.960502i	$0.410238\pi$
$972$	−0.962732	−	1.75304i	−0.0308796	−	0.0562288i
$973$	−3.12834	+	1.42867i	−0.100290	+	0.0458010i
$974$	−19.8855	+	16.0643i	−0.637171	+	0.514734i
$975$	−2.69858	−	18.7690i	−0.0864236	−	0.601090i
$976$	26.8335	+	17.0624i	0.858920	+	0.546154i
$977$	−17.4809	+	5.13287i	−0.559265	+	0.164215i	−0.549135	−	0.835734i	$-0.685043\pi$
$977$	−17.4809	+	5.13287i	−0.559265	+	0.164215i	−0.0101300	+	0.999949i	$0.503225\pi$
$978$	−4.58603	−	17.8778i	−0.146645	−	0.571670i
$979$	30.9922	+	14.1536i	0.990514	+	0.452353i
$980$	−2.67843	+	0.198063i	−0.0855592	+	0.00632689i
$981$	−2.33900	+	2.02676i	−0.0746785	+	0.0647093i
$982$	−18.3459	−	44.1401i	−0.585440	−	1.40857i
$983$	27.5686	−	17.7172i	0.879301	−	0.565092i	−0.0212835	−	0.999773i	$-0.506775\pi$
$983$	27.5686	−	17.7172i	0.879301	−	0.565092i	0.900584	+	0.434681i	$0.143139\pi$
$984$	−1.08807	+	4.32835i	−0.0346865	+	0.137983i
$985$	4.08209	+	2.62340i	0.130066	+	0.0835884i
$986$	13.6057	−	14.6490i	0.433294	−	0.466518i
$987$	−0.857212	+	2.91940i	−0.0272854	+	0.0929254i
$988$	13.2157	+	0.913152i	0.420447	+	0.0290512i
$989$	−0.482995	+	9.13261i	−0.0153583	+	0.290400i
$990$	0.0386607	−	1.12038i	0.00122872	−	0.0356079i
$991$	3.88893	+	1.14189i	0.123536	+	0.0362734i	0.342916	−	0.939366i	$-0.388585\pi$
$991$	3.88893	+	1.14189i	0.123536	+	0.0362734i	−0.219380	+	0.975639i	$0.570404\pi$
$992$	−5.98491	−	7.33579i	−0.190021	−	0.232911i
$993$	5.54890	+	3.56606i	0.176089	+	0.113166i
$994$	3.19616	+	0.572669i	0.101376	+	0.0181640i
$995$	−0.0822607	−	0.128000i	−0.00260784	−	0.00405788i
$996$	−8.99827	−	23.9486i	−0.285121	−	0.758841i
$997$	15.9419	−	13.8138i	0.504886	−	0.437486i	−0.364804	−	0.931084i	$-0.618864\pi$
$997$	15.9419	−	13.8138i	0.504886	−	0.437486i	0.869690	+	0.493598i	$0.164319\pi$
$998$	−0.762321	−	7.01101i	−0.0241308	−	0.221930i
$999$	−0.687600	+	1.50563i	−0.0217547	+	0.0476361i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.bb.a.133.28	yes	480
8.5	even	2	inner	552.2.bb.a.133.21	✓	480
23.9	even	11	inner	552.2.bb.a.469.21	yes	480
184.101	even	22	inner	552.2.bb.a.469.28	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.bb.a.133.21	✓	480	8.5	even	2	inner
552.2.bb.a.133.28	yes	480	1.1	even	1	trivial
552.2.bb.a.469.21	yes	480	23.9	even	11	inner
552.2.bb.a.469.28	yes	480	184.101	even	22	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:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.bb (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.444989 - 1.34238i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(-1.60397 - 1.19469i) q^{4} +(0.195405 + 0.0280950i) q^{5} +(-1.21537 + 0.723098i) q^{6} +(-0.184716 - 0.404472i) q^{7} +(-2.31747 + 1.62152i) q^{8} +(0.142315 + 0.989821i) q^{9} +(0.124667 - 0.249806i) q^{10} +(-1.13127 - 3.85274i) q^{11} +(0.429846 + 1.95326i) q^{12} +(-3.47679 - 1.58780i) q^{13} +(-0.625152 + 0.0679740i) q^{14} +(-0.129279 - 0.149196i) q^{15} +(1.14544 + 3.83249i) q^{16} +(-5.85643 + 3.76370i) q^{17} +(1.39205 + 0.249419i) q^{18} +(0.936892 - 1.45783i) q^{19} +(-0.279859 - 0.278512i) q^{20} +(-0.125274 + 0.426643i) q^{21} +(-5.67525 - 0.195835i) q^{22} +(2.94480 + 3.78525i) q^{23} +(2.81330 + 0.292163i) q^{24} +(-4.76007 - 1.39768i) q^{25} +(-3.67856 + 3.96063i) q^{26} +(0.540641 - 0.841254i) q^{27} +(-0.186939 + 0.869440i) q^{28} +(-1.09789 - 1.70835i) q^{29} +(-0.257806 + 0.107151i) q^{30} +(-1.09599 - 1.26484i) q^{31} +(5.65437 + 0.167794i) q^{32} +(-1.66805 + 3.65253i) q^{33} +(2.44627 + 9.53637i) q^{34} +(-0.0247309 - 0.0842256i) q^{35} +(0.954259 - 1.75767i) q^{36} +(-1.63836 + 0.235561i) q^{37} +(-1.54006 - 1.90638i) q^{38} +(1.58780 + 3.47679i) q^{39} +(-0.498403 + 0.251743i) q^{40} +(-0.224561 + 1.56185i) q^{41} +(0.516972 + 0.358016i) q^{42} +(1.44117 + 1.24878i) q^{43} +(-2.78831 + 7.53120i) q^{44} +0.197415i q^{45} +(6.39165 - 2.26865i) q^{46} +6.84271 q^{47} +(1.64408 - 3.64651i) q^{48} +(4.45455 - 5.14082i) q^{49} +(-3.99440 + 5.76787i) q^{50} +(6.89070 + 0.990733i) q^{51} +(3.67975 + 6.70046i) q^{52} +(-3.92286 + 1.79151i) q^{53} +(-0.888703 - 1.10009i) q^{54} +(-0.112813 - 0.784629i) q^{55} +(1.08393 + 0.637834i) q^{56} +(-1.66273 + 0.488222i) q^{57} +(-2.78180 + 0.713589i) q^{58} +(-10.5513 - 4.81861i) q^{59} +(0.0291172 + 0.393754i) q^{60} +(6.00798 - 5.20595i) q^{61} +(-2.18560 + 0.908398i) q^{62} +(0.374067 - 0.240399i) q^{63} +(2.74137 - 7.51564i) q^{64} +(-0.634774 - 0.407945i) q^{65} +(4.16082 + 3.86450i) q^{66} +(2.42300 - 8.25199i) q^{67} +(13.8900 + 0.959744i) q^{68} +(0.253282 - 4.78914i) q^{69} +(-0.124068 - 0.00428120i) q^{70} +(-4.95443 - 1.45475i) q^{71} +(-1.93482 - 2.06312i) q^{72} +(-10.6858 - 6.86732i) q^{73} +(-0.412841 + 2.30413i) q^{74} +(2.68213 + 4.17348i) q^{75} +(-3.24440 + 1.21903i) q^{76} +(-1.34936 + 1.16923i) q^{77} +(5.37373 - 0.584296i) q^{78} +(6.34655 - 13.8970i) q^{79} +(0.116152 + 0.781069i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(1.99668 + 0.996453i) q^{82} +(-12.6615 + 1.82044i) q^{83} +(0.710641 - 0.534660i) q^{84} +(-1.25012 + 0.570910i) q^{85} +(2.31764 - 1.37891i) q^{86} +(-0.289001 + 2.01005i) q^{87} +(8.86897 + 7.09426i) q^{88} +(-5.55657 + 6.41263i) q^{89} +(0.265006 + 0.0878473i) q^{90} +1.69956i q^{91} +(-0.201176 - 9.58955i) q^{92} +1.67363i q^{93} +(3.04493 - 9.18552i) q^{94} +(0.224031 - 0.258546i) q^{95} +(-4.16340 - 3.82963i) q^{96} +(0.0567281 - 0.394553i) q^{97} +(-4.91872 - 8.26730i) q^{98} +(3.65253 - 1.66805i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 4 q^{2} + 4 q^{6} + 8 q^{7} + 4 q^{8} + 48 q^{9} - 4 q^{10} - 4 q^{14} - 8 q^{15} - 8 q^{16} - 4 q^{18} + 20 q^{20} + 20 q^{22} - 8 q^{23} - 4 q^{24} + 48 q^{25} + 16 q^{30} + 16 q^{31} + 4 q^{32}+ \cdots - 132 q^{98}+O(q^{100}) \) 480 * q + 4 * q^2 + 4 * q^6 + 8 * q^7 + 4 * q^8 + 48 * q^9 - 4 * q^10 - 4 * q^14 - 8 * q^15 - 8 * q^16 - 4 * q^18 + 20 * q^20 + 20 * q^22 - 8 * q^23 - 4 * q^24 + 48 * q^25 + 16 * q^30 + 16 * q^31 + 4 * q^32 + 6 * q^34 - 22 * q^36 + 90 * q^38 - 74 * q^40 + 90 * q^42 - 130 * q^44 + 96 * q^46 - 88 * q^48 - 48 * q^49 + 142 * q^50 - 142 * q^52 + 18 * q^54 - 82 * q^56 + 22 * q^58 + 2 * q^60 - 40 * q^62 - 8 * q^63 + 16 * q^66 - 44 * q^68 + 16 * q^71 - 4 * q^72 + 10 * q^74 - 138 * q^76 - 40 * q^79 - 170 * q^80 - 48 * q^81 - 124 * q^82 - 8 * q^84 - 216 * q^86 - 108 * q^88 + 4 * q^90 - 198 * q^92 - 238 * q^94 + 80 * q^95 + 4 * q^96 - 132 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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