LMFDB - Embedded newform 245.2.x.a.103.25

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [245,2,Mod(3,245)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(245, base_ring=CyclotomicField(84)) chi = DirichletCharacter(H, H._module([63, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("245.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 245 = 5 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	245.x (of order $84$, degree $24$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$1.95633484952$
Analytic rank:	$0$
Dimension:	$624$
Relative dimension:	$26$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			103.25
Character	$\chi$	$=$	245.103
Dual form			245.2.x.a.157.25

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.41525 - 1.91759i) q^{2} +(2.30150 - 0.435467i) q^{3} +(-1.08472 - 3.51658i) q^{4} +(-0.708492 + 2.12086i) q^{5} +(2.42214 - 5.02963i) q^{6} +(-2.23408 - 1.41735i) q^{7} +(-3.77942 - 1.32248i) q^{8} +(2.31465 - 0.908433i) q^{9} +(3.06425 + 4.36014i) q^{10} +(-1.66178 + 4.23416i) q^{11} +(-4.02785 - 7.62106i) q^{12} +(-0.710141 - 0.0800136i) q^{13} +(-5.87968 + 2.27814i) q^{14} +(-0.707031 + 5.18968i) q^{15} +(-1.80353 + 1.22963i) q^{16} +(4.26586 + 0.159617i) q^{17} +(1.53380 - 5.72421i) q^{18} +(3.03772 - 5.26149i) q^{19} +(8.22669 + 0.190931i) q^{20} +(-5.75894 - 2.28917i) q^{21} +(5.76755 + 9.17900i) q^{22} +(0.274074 + 7.32477i) q^{23} +(-9.27423 - 1.39787i) q^{24} +(-3.99608 - 3.00522i) q^{25} +(-1.15846 + 1.24852i) q^{26} +(-1.01836 + 0.639878i) q^{27} +(-2.56089 + 9.39376i) q^{28} +(-2.15468 + 0.491792i) q^{29} +(8.95106 + 8.70048i) q^{30} +(-0.305778 + 0.176541i) q^{31} +(0.104917 - 2.80397i) q^{32} +(-1.98076 + 10.4686i) q^{33} +(6.34332 - 7.95427i) q^{34} +(4.58883 - 3.73398i) q^{35} +(-5.70534 - 7.15426i) q^{36} +(-7.42244 + 3.92288i) q^{37} +(-5.79026 - 13.2714i) q^{38} +(-1.66923 + 0.125092i) q^{39} +(5.48248 - 7.07865i) q^{40} +(-2.60325 - 5.40570i) q^{41} +(-12.5400 + 7.80356i) q^{42} +(-1.38486 - 3.95770i) q^{43} +(16.6923 + 1.25092i) q^{44} +(0.286746 + 5.55266i) q^{45} +(14.4338 + 9.84079i) q^{46} +(2.09246 + 1.54431i) q^{47} +(-3.61537 + 3.61537i) q^{48} +(2.98221 + 6.33296i) q^{49} +(-11.4182 + 3.40971i) q^{50} +(9.88738 - 1.49028i) q^{51} +(0.488931 + 2.58406i) q^{52} +(-2.65951 - 1.40559i) q^{53} +(-0.214206 + 2.85838i) q^{54} +(-7.80269 - 6.52428i) q^{55} +(6.56911 + 8.31130i) q^{56} +(4.70011 - 13.4321i) q^{57} +(-2.10635 + 4.82781i) q^{58} +(-0.936410 - 12.4955i) q^{59} +(19.0169 - 3.14303i) q^{60} +(0.327108 - 1.06046i) q^{61} +(-0.0942179 + 0.836207i) q^{62} +(-6.45868 - 1.25117i) q^{63} +(-8.64158 - 6.89143i) q^{64} +(0.672827 - 1.44942i) q^{65} +(17.2712 + 18.6139i) q^{66} +(7.08840 + 1.89933i) q^{67} +(-4.06597 - 15.1744i) q^{68} +(3.82048 + 16.7386i) q^{69} +(-0.665911 - 14.0840i) q^{70} +(2.59465 - 11.3679i) q^{71} +(-9.94942 + 0.372281i) q^{72} +(-0.993331 + 0.733111i) q^{73} +(-2.98212 + 19.7851i) q^{74} +(-10.5056 - 5.17636i) q^{75} +(-21.7975 - 4.97515i) q^{76} +(9.71386 - 7.10410i) q^{77} +(-2.12250 + 3.37794i) q^{78} +(7.95495 + 4.59279i) q^{79} +(-1.33008 - 4.69622i) q^{80} +(-7.53339 + 6.98996i) q^{81} +(-14.0502 - 2.65843i) q^{82} +(0.394670 + 3.50280i) q^{83} +(-1.80321 + 22.7349i) q^{84} +(-3.36085 + 8.93419i) q^{85} +(-9.54916 - 2.94553i) q^{86} +(-4.74484 + 2.07015i) q^{87} +(11.8802 - 13.8050i) q^{88} +(4.59104 + 11.6978i) q^{89} +(11.0536 + 7.30853i) q^{90} +(1.47310 + 1.18528i) q^{91} +(25.4609 - 8.90914i) q^{92} +(-0.626871 + 0.539466i) q^{93} +(5.92271 - 1.82691i) q^{94} +(9.00666 + 10.1703i) q^{95} +(-0.979570 - 6.49902i) q^{96} +(-7.13501 - 7.13501i) q^{97} +(16.3646 + 3.24404i) q^{98} +11.3102i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 624 q - 26 q^{2} - 22 q^{3} - 28 q^{5} - 28 q^{6} - 18 q^{7} - 24 q^{8} - 34 q^{10} - 56 q^{11} - 34 q^{12} - 28 q^{13} + 12 q^{15} - 100 q^{16} - 26 q^{17} - 10 q^{18} - 28 q^{20} - 76 q^{21} - 48 q^{22}+ \cdots + 304 q^{98}+O(q^{100}) $ 624 * q - 26 * q^2 - 22 * q^3 - 28 * q^5 - 28 * q^6 - 18 * q^7 - 24 * q^8 - 34 * q^10 - 56 * q^11 - 34 * q^12 - 28 * q^13 + 12 * q^15 - 100 * q^16 - 26 * q^17 - 10 * q^18 - 28 * q^20 - 76 * q^21 - 48 * q^22 - 34 * q^23 - 24 * q^25 - 60 * q^26 - 28 * q^27 - 46 * q^28 - 10 * q^30 - 60 * q^31 + 54 * q^32 - 28 * q^33 - 20 * q^35 + 116 * q^36 - 20 * q^37 + 12 * q^38 - 46 * q^40 - 114 * q^42 - 24 * q^43 + 60 * q^45 + 108 * q^46 - 94 * q^47 - 296 * q^50 + 52 * q^51 - 52 * q^52 - 106 * q^53 + 14 * q^55 + 96 * q^56 + 72 * q^57 - 142 * q^58 - 26 * q^60 + 80 * q^61 - 56 * q^62 - 24 * q^63 - 20 * q^65 - 240 * q^66 - 8 * q^67 - 30 * q^68 + 180 * q^70 + 48 * q^71 + 138 * q^72 - 4 * q^73 - 106 * q^75 + 56 * q^76 - 8 * q^77 - 204 * q^78 - 18 * q^80 - 284 * q^81 - 162 * q^82 + 182 * q^83 - 36 * q^85 - 76 * q^86 - 74 * q^87 + 288 * q^88 - 112 * q^90 + 44 * q^91 - 8 * q^92 + 368 * q^93 + 26 * q^95 + 136 * q^96 + 304 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/245\mathbb{Z}\right)^\times$.

$n$	$101$	$197$
$\chi(n)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.41525	−	1.91759i	1.00073	−	1.35594i	0.0670835	−	0.997747i	$-0.478631\pi$
$2$	1.41525	−	1.91759i	1.00073	−	1.35594i	0.933647	−	0.358194i	$-0.116607\pi$
$3$	2.30150	−	0.435467i	1.32877	−	0.251417i	0.527417	−	0.849607i	$-0.323161\pi$
$3$	2.30150	−	0.435467i	1.32877	−	0.251417i	0.801355	+	0.598189i	$0.204113\pi$
$4$	−1.08472	−	3.51658i	−0.542361	−	1.75829i
$5$	−0.708492	+	2.12086i	−0.316847	+	0.948477i
$5$	−0.708492	+	2.12086i	−0.316847	+	0.948477i
$6$	2.42214	−	5.02963i	0.988836	−	2.05334i
$7$	−2.23408	−	1.41735i	−0.844402	−	0.535710i
$7$	−2.23408	−	1.41735i	−0.844402	−	0.535710i
$8$	−3.77942	−	1.32248i	−1.33623	−	0.467566i
$9$	2.31465	−	0.908433i	0.771550	−	0.302811i
$10$	3.06425	+	4.36014i	0.969000	+	1.37880i
$11$	−1.66178	+	4.23416i	−0.501047	+	1.27665i	0.427023	+	0.904241i	$0.359562\pi$
$11$	−1.66178	+	4.23416i	−0.501047	+	1.27665i	−0.928070	+	0.372406i	$0.878533\pi$
$12$	−4.02785	−	7.62106i	−1.16274	−	2.20001i
$13$	−0.710141	−	0.0800136i	−0.196958	−	0.0221918i	0.0129345	−	0.999916i	$-0.495883\pi$
$13$	−0.710141	−	0.0800136i	−0.196958	−	0.0221918i	−0.209892	+	0.977725i	$0.567311\pi$
$14$	−5.87968	+	2.27814i	−1.57141	+	0.608859i
$15$	−0.707031	+	5.18968i	−0.182555	+	1.33997i
$16$	−1.80353	+	1.22963i	−0.450884	+	0.307407i
$17$	4.26586	+	0.159617i	1.03462	+	0.0387128i	0.549302	−	0.835624i	$-0.314894\pi$
$17$	4.26586	+	0.159617i	1.03462	+	0.0387128i	0.485320	+	0.874336i	$0.338703\pi$
$18$	1.53380	−	5.72421i	0.361520	−	1.34921i
$19$	3.03772	−	5.26149i	0.696901	−	1.20707i	−0.272635	−	0.962118i	$-0.587895\pi$
$19$	3.03772	−	5.26149i	0.696901	−	1.20707i	0.969536	−	0.244950i	$-0.0787716\pi$
$20$	8.22669	+	0.190931i	1.83954	+	0.0426934i
$21$	−5.75894	−	2.28917i	−1.25670	−	0.499539i
$22$	5.76755	+	9.17900i	1.22965	+	1.95697i
$23$	0.274074	+	7.32477i	0.0571483	+	1.52732i	0.673109	+	0.739543i	$0.264958\pi$
$23$	0.274074	+	7.32477i	0.0571483	+	1.52732i	−0.615961	+	0.787777i	$0.711232\pi$
$24$	−9.27423	−	1.39787i	−1.89310	−	0.285338i
$25$	−3.99608	−	3.00522i	−0.799215	−	0.601045i
$26$	−1.15846	+	1.24852i	−0.227192	+	0.244855i
$27$	−1.01836	+	0.639878i	−0.195983	+	0.123145i
$28$	−2.56089	+	9.39376i	−0.483963	+	1.77525i
$29$	−2.15468	+	0.491792i	−0.400114	+	0.0913235i	−0.417843	−	0.908519i	$-0.637214\pi$
$29$	−2.15468	+	0.491792i	−0.400114	+	0.0913235i	0.0177284	+	0.999843i	$0.494357\pi$
$30$	8.95106	+	8.70048i	1.63423	+	1.58848i
$31$	−0.305778	+	0.176541i	−0.0549194	+	0.0317077i	−0.527208	−	0.849736i	$-0.676761\pi$
$31$	−0.305778	+	0.176541i	−0.0549194	+	0.0317077i	0.472289	+	0.881444i	$0.343428\pi$
$32$	0.104917	−	2.80397i	0.0185469	−	0.495676i
$33$	−1.98076	+	10.4686i	−0.344806	+	1.82234i
$34$	6.34332	−	7.95427i	1.08787	−	1.36415i
$35$	4.58883	−	3.73398i	0.775655	−	0.631158i
$36$	−5.70534	−	7.15426i	−0.950889	−	1.19238i
$37$	−7.42244	+	3.92288i	−1.22024	+	0.644917i	−0.948293	−	0.317395i	$-0.897192\pi$
$37$	−7.42244	+	3.92288i	−1.22024	+	0.644917i	−0.271949	+	0.962312i	$0.587668\pi$
$38$	−5.79026	−	13.2714i	−0.939304	−	2.15291i
$39$	−1.66923	+	0.125092i	−0.267291	+	0.0200307i
$40$	5.48248	−	7.07865i	0.866856	−	1.11923i
$41$	−2.60325	−	5.40570i	−0.406559	−	0.844229i	−0.999247	−	0.0387966i	$-0.987648\pi$
$41$	−2.60325	−	5.40570i	−0.406559	−	0.844229i	0.592688	−	0.805432i	$-0.298067\pi$
$42$	−12.5400	+	7.80356i	−1.93497	+	1.20411i
$43$	−1.38486	−	3.95770i	−0.211189	−	0.603543i	0.788749	−	0.614716i	$-0.210729\pi$
$43$	−1.38486	−	3.95770i	−0.211189	−	0.603543i	−0.999938	+	0.0111727i	$0.996444\pi$
$44$	16.6923	+	1.25092i	2.51647	+	0.188583i
$45$	0.286746	+	5.55266i	0.0427456	+	0.827742i
$46$	14.4338	+	9.84079i	2.12815	+	1.45095i
$47$	2.09246	+	1.54431i	0.305217	+	0.225261i	0.735650	−	0.677362i	$-0.236877\pi$
$47$	2.09246	+	1.54431i	0.305217	+	0.225261i	−0.430432	+	0.902623i	$0.641639\pi$
$48$	−3.61537	+	3.61537i	−0.521834	+	0.521834i
$49$	2.98221	+	6.33296i	0.426030	+	0.904709i
$50$	−11.4182	+	3.40971i	−1.61478	+	0.482206i
$51$	9.88738	−	1.49028i	1.38451	−	0.208681i
$52$	0.488931	+	2.58406i	0.0678025	+	0.358345i
$53$	−2.65951	−	1.40559i	−0.365312	−	0.193073i	0.274532	−	0.961578i	$-0.411477\pi$
$53$	−2.65951	−	1.40559i	−0.365312	−	0.193073i	−0.639844	+	0.768505i	$0.721001\pi$
$54$	−0.214206	+	2.85838i	−0.0291498	+	0.388977i
$55$	−7.80269	−	6.52428i	−1.05211	−	0.879733i
$56$	6.56911	+	8.31130i	0.877834	+	1.11064i
$57$	4.70011	−	13.4321i	0.622545	−	1.77913i
$58$	−2.10635	+	4.82781i	−0.276577	+	0.633922i
$59$	−0.936410	−	12.4955i	−0.121910	−	1.62678i	−0.637855	−	0.770156i	$-0.720178\pi$
$59$	−0.936410	−	12.4955i	−0.121910	−	1.62678i	0.515945	−	0.856622i	$-0.327441\pi$
$60$	19.0169	−	3.14303i	2.45507	−	0.405763i
$61$	0.327108	−	1.06046i	0.0418819	−	0.135778i	−0.932217	−	0.361899i	$-0.882128\pi$
$61$	0.327108	−	1.06046i	0.0418819	−	0.135778i	0.974099	+	0.226121i	$0.0726046\pi$
$62$	−0.0942179	+	0.836207i	−0.0119657	+	0.106198i
$63$	−6.45868	−	1.25117i	−0.813718	−	0.157632i
$64$	−8.64158	−	6.89143i	−1.08020	−	0.861429i
$65$	0.672827	−	1.44942i	0.0834539	−	0.179778i
$66$	17.2712	+	18.6139i	2.12593	+	2.29121i
$67$	7.08840	+	1.89933i	0.865986	+	0.232040i	0.664351	−	0.747421i	$-0.268708\pi$
$67$	7.08840	+	1.89933i	0.865986	+	0.232040i	0.201635	+	0.979461i	$0.435375\pi$
$68$	−4.06597	−	15.1744i	−0.493071	−	1.84016i
$69$	3.82048	+	16.7386i	0.459932	+	2.01509i
$70$	−0.665911	−	14.0840i	−0.0795915	−	1.68336i
$71$	2.59465	−	11.3679i	0.307928	−	1.34912i	−0.549921	−	0.835217i	$-0.685342\pi$
$71$	2.59465	−	11.3679i	0.307928	−	1.34912i	0.857848	−	0.513903i	$-0.171801\pi$
$72$	−9.94942	+	0.372281i	−1.17255	+	0.0438737i
$73$	−0.993331	+	0.733111i	−0.116261	+	0.0858042i	−0.650399	−	0.759593i	$-0.725398\pi$
$73$	−0.993331	+	0.733111i	−0.116261	+	0.0858042i	0.534138	+	0.845397i	$0.320636\pi$
$74$	−2.98212	+	19.7851i	−0.346664	+	2.29997i
$75$	−10.5056	−	5.17636i	−1.21309	−	0.597715i
$76$	−21.7975	−	4.97515i	−2.50035	−	0.570689i
$77$	9.71386	−	7.10410i	1.10700	−	0.809588i
$78$	−2.12250	+	3.37794i	−0.240326	+	0.382477i
$79$	7.95495	+	4.59279i	0.895001	+	0.516729i	0.875575	−	0.483082i	$-0.160483\pi$
$79$	7.95495	+	4.59279i	0.895001	+	0.516729i	0.0194263	+	0.999811i	$0.493816\pi$
$80$	−1.33008	−	4.69622i	−0.148707	−	0.525054i
$81$	−7.53339	+	6.98996i	−0.837043	+	0.776663i
$82$	−14.0502	−	2.65843i	−1.55158	−	0.293575i
$83$	0.394670	+	3.50280i	0.0433207	+	0.384482i	0.996600	+	0.0823916i	$0.0262558\pi$
$83$	0.394670	+	3.50280i	0.0433207	+	0.384482i	−0.953279	+	0.302090i	$0.902316\pi$
$84$	−1.80321	+	22.7349i	−0.196747	+	2.48058i
$85$	−3.36085	+	8.93419i	−0.364536	+	0.969049i
$86$	−9.54916	−	2.94553i	−1.02971	−	0.317624i
$87$	−4.74484	+	2.07015i	−0.508701	+	0.221944i
$88$	11.8802	−	13.8050i	1.26643	−	1.47162i
$89$	4.59104	+	11.6978i	0.486649	+	1.23996i	0.937694	+	0.347461i	$0.112956\pi$
$89$	4.59104	+	11.6978i	0.486649	+	1.23996i	−0.451045	+	0.892501i	$0.648949\pi$
$90$	11.0536	+	7.30853i	1.16515	+	0.770386i
$91$	1.47310	+	1.18528i	0.154423	+	0.124251i
$92$	25.4609	−	8.90914i	2.65448	−	0.928842i
$93$	−0.626871	+	0.539466i	−0.0650034	+	0.0559400i
$94$	5.92271	−	1.82691i	0.610881	−	0.188432i
$95$	9.00666	+	10.1703i	0.924064	+	1.04345i
$96$	−0.979570	−	6.49902i	−0.0999769	−	0.663303i
$97$	−7.13501	−	7.13501i	−0.724450	−	0.724450i	0.245058	−	0.969508i	$-0.421193\pi$
$97$	−7.13501	−	7.13501i	−0.724450	−	0.724450i	−0.969508	+	0.245058i	$0.921193\pi$
$98$	16.3646	+	3.24404i	1.65307	+	0.327697i
$99$			11.3102i			1.13672i
$100$	−6.23349	+	17.3124i	−0.623349	+	1.73124i
$101$	5.92165	−	8.68547i	0.589226	−	0.864236i	−0.409620	−	0.912256i	$-0.634339\pi$
$101$	5.92165	−	8.68547i	0.589226	−	0.864236i	0.998846	+	0.0480199i	$0.0152911\pi$
$102$	11.1353	−	21.0691i	1.10256	−	2.08615i
$103$	−1.05381	−	1.22455i	−0.103835	−	0.120659i	0.703649	−	0.710547i	$-0.251553\pi$
$103$	−1.05381	−	1.22455i	−0.103835	−	0.120659i	−0.807485	+	0.589889i	$0.799172\pi$
$104$	2.57810	+	1.24155i	0.252804	+	0.121744i
$105$	8.93518	−	10.5920i	0.871984	−	1.03368i
$106$	−6.45922	+	3.11059i	−0.627375	+	0.302128i
$107$	8.92008	+	3.89179i	0.862336	+	0.376233i	0.784050	−	0.620697i	$-0.213150\pi$
$107$	8.92008	+	3.89179i	0.862336	+	0.376233i	0.0782861	+	0.996931i	$0.475055\pi$
$108$	3.35482	+	2.88706i	0.322818	+	0.277807i
$109$	3.60822	+	1.41612i	0.345605	+	0.135640i	0.531794	−	0.846874i	$-0.321518\pi$
$109$	3.60822	+	1.41612i	0.345605	+	0.135640i	−0.186188	+	0.982514i	$0.559613\pi$
$110$	−23.5536	+	5.72890i	−2.24575	+	0.546229i
$111$	−15.3745	+	12.2607i	−1.45928	+	1.16374i
$112$	5.77206	−	0.190840i	0.545408	−	0.0180327i
$113$	−2.33554	+	0.263152i	−0.219709	+	0.0247552i	−0.221133	−	0.975244i	$-0.570975\pi$
$113$	−2.33554	+	0.263152i	−0.219709	+	0.0247552i	0.00142384	+	0.999999i	$0.499547\pi$
$114$	−19.1055	−	28.0227i	−1.78940	−	2.62456i
$115$	−15.7290	−	4.60827i	−1.46673	−	0.429724i
$116$	4.06666	+	7.04366i	0.377580	+	0.653988i
$117$	−1.71641	+	0.459912i	−0.158683	+	0.0425189i
$118$	−25.2865	−	15.8886i	−2.32782	−	1.46266i
$119$	−9.30403	−	6.40283i	−0.852899	−	0.586946i
$120$	9.53540	−	18.6790i	0.870459	−	1.70515i
$121$	−7.10299	−	6.59061i	−0.645727	−	0.599147i
$122$	−1.57059	−	2.12807i	−0.142194	−	0.192666i
$123$	−8.34538	−	11.3076i	−0.752478	−	1.01957i
$124$	0.952506	+	0.883796i	0.0855375	+	0.0793672i
$125$	9.20484	−	6.34593i	0.823306	−	0.567598i
$126$	−11.5399	+	10.6144i	−1.02805	+	0.945606i
$127$	−6.35852	−	3.99532i	−0.564228	−	0.354528i	0.219519	−	0.975608i	$-0.429551\pi$
$127$	−6.35852	−	3.99532i	−0.564228	−	0.354528i	−0.783747	+	0.621080i	$0.786694\pi$
$128$	−20.0243	+	5.36549i	−1.76991	+	0.474247i
$129$	−4.91070	−	8.50558i	−0.432363	−	0.748874i
$130$	−1.82718	−	3.34149i	−0.160254	−	0.293068i
$131$	9.72885	+	14.2696i	0.850014	+	1.24674i	0.967298	+	0.253643i	$0.0816288\pi$
$131$	9.72885	+	14.2696i	0.850014	+	1.24674i	−0.117284	+	0.993098i	$0.537419\pi$
$132$	38.9622	−	4.38998i	3.39122	−	0.382099i
$133$	−14.2439	+	7.44905i	−1.23510	+	0.645914i
$134$	13.6740	−	10.9046i	1.18125	−	0.942016i
$135$	−0.635590	−	2.61315i	−0.0547029	−	0.224904i
$136$	−15.9114	−	6.24476i	−1.36439	−	0.535484i
$137$	−12.1477	−	10.4540i	−1.03785	−	0.893144i	−0.0434762	−	0.999054i	$-0.513843\pi$
$137$	−12.1477	−	10.4540i	−1.03785	−	0.893144i	−0.994376	+	0.105911i	$0.966224\pi$
$138$	37.5047	+	16.3631i	3.19261	+	1.39292i
$139$	16.3960	−	7.89591i	1.39069	−	0.669722i	0.419442	−	0.907782i	$-0.362226\pi$
$139$	16.3960	−	7.89591i	1.39069	−	0.669722i	0.971250	+	0.238060i	$0.0765116\pi$
$140$	−18.1085	−	12.0867i	−1.53044	−	1.02151i
$141$	5.48830	+	2.64303i	0.462199	+	0.222583i
$142$	−18.1269	−	21.0638i	−1.52117	−	1.76764i
$143$	1.51889	−	2.87388i	0.127016	−	0.240326i
$144$	−3.05752	+	4.48455i	−0.254793	+	0.373713i
$145$	0.483555	−	4.91821i	0.0401570	−	0.408435i
$146$			2.94234i			0.243509i
$147$	9.62136	+	13.2767i	0.793557	+	1.09504i
$148$	21.8464	+	21.8464i	1.79576	+	1.79576i
$149$	1.87110	+	12.4139i	0.153286	+	1.01699i	0.924712	+	0.380668i	$0.124306\pi$
$149$	1.87110	+	12.4139i	0.153286	+	1.01699i	−0.771425	+	0.636320i	$0.780456\pi$
$150$	−24.7942	+	12.8197i	−2.02444	+	1.04673i
$151$	−19.2335	+	5.93275i	−1.56520	+	0.482801i	−0.951735	−	0.306920i	$-0.900701\pi$
$151$	−19.2335	+	5.93275i	−1.56520	+	0.482801i	−0.613466	+	0.789721i	$0.710225\pi$
$152$	−18.4390	+	15.8681i	−1.49560	+	1.28707i
$153$	10.0190	−	3.50579i	0.809986	−	0.283426i
$154$	0.124741	−	28.6813i	0.0100519	−	2.31120i
$155$	−0.157777	−	0.773590i	−0.0126730	−	0.0621362i
$156$	2.25055	+	5.73431i	0.180188	+	0.459112i
$157$	−6.92400	+	8.04583i	−0.552595	+	0.642127i	−0.962912	−	0.269816i	$-0.913037\pi$
$157$	−6.92400	+	8.04583i	−0.552595	+	0.642127i	0.410317	+	0.911943i	$0.365418\pi$
$158$	20.0653	−	8.75440i	1.59631	−	0.696463i
$159$	−6.73296	−	2.07684i	−0.533958	−	0.164704i
$160$	5.87248	+	2.20910i	0.464261	+	0.174645i
$161$	9.76949	−	16.7526i	0.769944	−	1.32029i
$162$	2.74229	+	24.3385i	0.215455	+	1.91221i
$163$	11.2787	+	2.13405i	0.883416	+	0.167151i	0.607775	−	0.794109i	$-0.292062\pi$
$163$	11.2787	+	2.13405i	0.883416	+	0.167151i	0.275641	+	0.961261i	$0.411110\pi$
$164$	−16.1858	+	15.0182i	−1.26390	+	1.17273i
$165$	−20.7990	−	11.6178i	−1.61920	−	0.904445i
$166$	7.27549	+	4.20050i	0.564687	+	0.326022i
$167$	2.71773	−	4.32525i	0.210304	−	0.334698i	−0.724870	−	0.688886i	$-0.758100\pi$
$167$	2.71773	−	4.32525i	0.210304	−	0.334698i	0.935174	+	0.354188i	$0.115243\pi$
$168$	18.7381	+	16.2678i	1.44568	+	1.25509i
$169$	−12.1762	−	2.77913i	−0.936628	−	0.213779i
$170$	12.3757	+	19.0888i	0.949172	+	1.46405i
$171$	2.25155	−	14.9381i	0.172180	−	1.14234i
$172$	−12.4154	+	9.16297i	−0.946664	+	0.698670i
$173$	−9.92760	+	0.371465i	−0.754782	+	0.0282419i	−0.412013	−	0.911178i	$-0.635174\pi$
$173$	−9.92760	+	0.371465i	−0.754782	+	0.0282419i	−0.342769	+	0.939420i	$0.611365\pi$
$174$	−2.74541	+	12.0284i	−0.208129	+	0.911874i
$175$	4.66808	+	12.3778i	0.352874	+	0.935671i
$176$	−2.20936	−	9.67983i	−0.166537	−	0.729645i
$177$	−7.59654	−	28.3507i	−0.570991	−	2.13097i
$178$	28.9290	+	7.75151i	2.16832	+	0.581000i
$179$	9.35271	+	10.0798i	0.699054	+	0.753401i	0.978385	−	0.206794i	$-0.0663029\pi$
$179$	9.35271	+	10.0798i	0.699054	+	0.753401i	−0.279330	+	0.960195i	$0.590112\pi$
$180$	19.2154	−	7.03146i	1.43223	−	0.524094i
$181$	8.23648	+	6.56837i	0.612213	+	0.488223i	0.879821	−	0.475304i	$-0.157662\pi$
$181$	8.23648	+	6.56837i	0.612213	+	0.488223i	−0.267609	+	0.963528i	$0.586233\pi$
$182$	4.35768	−	1.14735i	0.323013	−	0.0850471i
$183$	0.291044	−	2.58309i	0.0215146	−	0.190947i
$184$	8.65100	−	28.0458i	0.637760	−	2.06757i
$185$	−3.06112	−	18.5213i	−0.225058	−	1.36171i
$186$	0.147298	+	1.96556i	0.0108004	+	0.144122i
$187$	−7.76478	+	17.7971i	−0.567817	+	1.30145i
$188$	3.16095	−	9.03347i	0.230536	−	0.658834i
$189$	3.18203	+	0.0138393i	0.231459	+	0.00100666i
$190$	32.2491	−	2.87762i	2.33960	−	0.208764i
$191$	−0.605127	+	8.07486i	−0.0437854	+	0.584276i	0.931559	+	0.363589i	$0.118449\pi$
$191$	−0.605127	+	8.07486i	−0.0437854	+	0.584276i	−0.975345	+	0.220687i	$0.929170\pi$
$192$	−22.8896	−	12.0975i	−1.65191	−	0.873062i
$193$	−0.981762	−	5.18874i	−0.0706688	−	0.373494i	−0.999991	−	0.00422387i	$-0.998655\pi$
$193$	−0.981762	−	5.18874i	−0.0706688	−	0.373494i	0.929322	−	0.369270i	$-0.120392\pi$
$194$	−23.7798	+	3.58423i	−1.70729	+	0.257333i
$195$	0.917337	−	3.62883i	0.0656919	−	0.259866i
$196$	19.0355	−	17.3567i	1.35968	−	1.23976i
$197$	−2.04515	+	2.04515i	−0.145711	+	0.145711i	−0.776199	−	0.630488i	$-0.782855\pi$
$197$	−2.04515	+	2.04515i	−0.145711	+	0.145711i	0.630488	+	0.776199i	$0.282855\pi$
$198$	21.6884	+	16.0067i	1.54133	+	1.13755i
$199$	9.75978	+	6.65410i	0.691852	+	0.471697i	0.857497	−	0.514488i	$-0.172018\pi$
$199$	9.75978	+	6.65410i	0.691852	+	0.471697i	−0.165645	+	0.986185i	$0.552971\pi$
$200$	11.1285	+	16.6427i	0.786905	+	1.17682i
$201$	17.1410	+	1.28454i	1.20904	+	0.0906047i
$202$	−8.27458	−	23.6474i	−0.582197	−	1.66382i
$203$	5.51077	+	1.95525i	0.386780	+	0.137231i
$204$	−15.9658	−	33.1533i	−1.11783	−	2.32119i
$205$	13.3091	−	1.69122i	0.929548	−	0.118120i
$206$	−3.83959	+	0.287738i	−0.267517	+	0.0200476i
$207$	7.28845	+	16.7053i	0.506582	+	1.16110i
$208$	1.37915	−	0.728902i	0.0956269	−	0.0505403i
$209$	17.2299	+	21.6056i	1.19182	+	1.49449i
$210$	−7.66572	−	32.1244i	−0.528985	−	2.21679i
$211$	−3.89438	+	4.88339i	−0.268100	+	0.336187i	−0.897598	−	0.440816i	$-0.854689\pi$
$211$	−3.89438	+	4.88339i	−0.268100	+	0.336187i	0.629498	+	0.777002i	$0.283261\pi$
$212$	−2.05805	+	10.8771i	−0.141348	+	0.747040i
$213$	1.02123	−	27.2931i	0.0699739	−	1.87009i
$214$	20.0870	−	11.5972i	1.37312	−	0.792769i
$215$	9.37487	−	0.133089i	0.639361	−	0.00907659i
$216$	4.69504	−	1.07161i	0.319457	−	0.0729139i
$217$	0.933354	+	0.0389893i	0.0633602	+	0.00264677i
$218$	7.82207	−	4.91493i	0.529778	−	0.332881i
$219$	−1.96690	+	2.11982i	−0.132911	+	0.143244i
$220$	−14.4794	+	34.5158i	−0.976202	+	2.32706i
$221$	−3.01659	−	0.454678i	−0.202918	−	0.0305849i
$222$	1.75240	+	46.8339i	0.117613	+	3.14329i
$223$	8.93533	+	14.2205i	0.598354	+	0.952275i	0.999345	+	0.0361931i	$0.0115231\pi$
$223$	8.93533	+	14.2205i	0.598354	+	0.952275i	−0.400991	+	0.916082i	$0.631334\pi$
$224$	−4.20861	+	6.11558i	−0.281199	+	0.408614i
$225$	−11.9796	−	3.32587i	−0.798638	−	0.221725i
$226$	−2.80074	+	4.85103i	−0.186303	+	0.322686i
$227$	0.0678450	−	0.253201i	0.00450303	−	0.0168055i	−0.963638	−	0.267212i	$-0.913898\pi$
$227$	0.0678450	−	0.253201i	0.00450303	−	0.0168055i	0.968141	+	0.250406i	$0.0805643\pi$
$228$	−52.3336	−	1.95818i	−3.46588	−	0.129684i
$229$	13.2613	−	9.04138i	0.876330	−	0.597471i	−0.0394192	−	0.999223i	$-0.512551\pi$
$229$	13.2613	−	9.04138i	0.876330	−	0.597471i	0.915749	+	0.401751i	$0.131598\pi$
$230$	−31.0972	+	23.6399i	−2.05049	+	1.55877i
$231$	19.2628	−	20.5802i	1.26740	−	1.35408i
$232$	8.79384	+	0.990827i	0.577344	+	0.0650510i
$233$	1.99735	+	3.77918i	0.130851	+	0.247582i	0.940832	−	0.338875i	$-0.110046\pi$
$233$	1.99735	+	3.77918i	0.130851	+	0.247582i	−0.809981	+	0.586457i	$0.800522\pi$
$234$	−1.54723	+	3.94227i	−0.101145	+	0.257714i
$235$	−4.75775	+	3.34369i	−0.310362	+	0.218118i
$236$	−42.9258	+	16.8471i	−2.79423	+	1.09665i
$237$	20.3083	+	7.10619i	1.31917	+	0.461597i
$238$	−25.4455	+	8.77974i	−1.64939	+	0.569106i
$239$	1.40205	−	2.91139i	0.0906911	−	0.188322i	−0.850689	−	0.525669i	$-0.823815\pi$
$239$	1.40205	−	2.91139i	0.0906911	−	0.188322i	0.941380	+	0.337347i	$0.109529\pi$
$240$	−5.10623	−	10.2292i	−0.329606	−	0.660289i
$241$	−5.63143	−	18.2566i	−0.362752	−	1.17601i	−0.934614	−	0.355664i	$-0.884255\pi$
$241$	−5.63143	−	18.2566i	−0.362752	−	1.17601i	0.571862	−	0.820350i	$-0.306221\pi$
$242$	−22.6906	+	4.29329i	−1.45861	+	0.275983i
$243$	−12.1516	+	16.4649i	−0.779527	+	1.05622i
$244$	−4.08401			−0.261452
$245$	−15.5442	+	1.83800i	−0.993082	+	0.117425i
$246$	−33.4941			−2.13551
$247$	−2.57820	+	3.49334i	−0.164047	+	0.222276i
$248$	1.38914	−	0.262839i	0.0882102	−	0.0166903i
$249$	2.43369	+	7.88982i	0.154229	+	0.499997i
$250$	0.858216	−	26.6322i	0.0542784	−	1.68437i
$251$	9.35814	−	19.4324i	0.590681	−	1.22656i	−0.364684	−	0.931131i	$-0.618823\pi$
$251$	9.35814	−	19.4324i	0.590681	−	1.22656i	0.955365	−	0.295430i	$-0.0954628\pi$
$252$	2.60604	+	24.0697i	0.164165	+	1.51625i
$253$	−31.4697	−	11.0117i	−1.97848	−	0.692301i
$254$	−16.6603	+	6.53868i	−1.04536	+	0.410273i
$255$	−3.84446	+	22.0256i	−0.240749	+	1.37930i
$256$	−9.97425	+	25.4140i	−0.623391	+	1.58837i
$257$	0.879501	+	1.66410i	0.0548617	+	0.103803i	0.910022	−	0.414561i	$-0.136065\pi$
$257$	0.879501	+	1.66410i	0.0548617	+	0.103803i	−0.855160	+	0.518365i	$0.826541\pi$
$258$	−23.2601	−	2.62078i	−1.44811	−	0.163163i
$259$	22.1424	+	1.75622i	1.37586	+	0.109126i
$260$	−5.82683	−	0.793835i	−0.361365	−	0.0492316i
$261$	−4.54058	+	3.09571i	−0.281055	+	0.191620i
$262$	41.1320	+	1.53905i	2.54114	+	0.0950829i
$263$	−6.90169	+	25.7574i	−0.425576	+	1.58827i	0.337085	+	0.941474i	$0.390559\pi$
$263$	−6.90169	+	25.7574i	−0.425576	+	1.58827i	−0.762661	+	0.646798i	$0.776108\pi$
$264$	21.3306	−	36.9456i	1.31281	−	2.27385i
$265$	4.86531	−	4.64459i	0.298873	−	0.285315i
$266$	−5.87440	+	37.8562i	−0.360183	+	2.32111i
$267$	15.6603	+	24.9232i	0.958394	+	1.52528i
$268$	−1.00979	−	26.9872i	−0.0616827	−	1.64851i
$269$	−2.92952	−	0.441555i	−0.178616	−	0.0269221i	0.0591250	−	0.998251i	$-0.481169\pi$
$269$	−2.92952	−	0.441555i	−0.178616	−	0.0269221i	−0.237741	+	0.971329i	$0.576407\pi$
$270$	−5.91046	−	2.47944i	−0.359699	−	0.150894i
$271$	14.6852	−	15.8268i	0.892059	−	0.961411i	−0.107402	−	0.994216i	$-0.534253\pi$
$271$	14.6852	−	15.8268i	0.892059	−	0.961411i	0.999462	+	0.0328043i	$0.0104438\pi$
$272$	−7.88989	+	4.95755i	−0.478395	+	0.300596i
$273$	3.90650	+	2.08643i	0.236432	+	0.126276i
$274$	−37.2385	+	8.49945i	−2.24966	+	0.513470i
$275$	19.3652	−	11.9260i	1.16777	−	0.719164i
$276$	54.7186	−	31.5918i	3.29367	−	1.90160i
$277$	0.384783	−	10.2835i	0.0231193	−	0.617877i	−0.938787	−	0.344498i	$-0.888049\pi$
$277$	0.384783	−	10.2835i	0.0231193	−	0.617877i	0.961906	−	0.273379i	$-0.0881414\pi$
$278$	8.06329	−	42.6155i	0.483604	−	2.55591i
$279$	−0.547394	+	0.686410i	−0.0327716	+	0.0410943i
$280$	−22.2812	+	8.04365i	−1.33156	+	0.480700i
$281$	15.1074	+	18.9441i	0.901231	+	1.13011i	0.990962	+	0.134142i	$0.0428277\pi$
$281$	15.1074	+	18.9441i	0.901231	+	1.13011i	−0.0897315	+	0.995966i	$0.528601\pi$
$282$	12.8356	−	6.78379i	0.764346	−	0.403969i
$283$	6.08326	+	13.9430i	0.361612	+	0.828824i	0.998332	+	0.0577292i	$0.0183860\pi$
$283$	6.08326	+	13.9430i	0.361612	+	0.828824i	−0.636720	+	0.771095i	$0.719709\pi$
$284$	−42.7906	+	3.20671i	−2.53915	+	0.190283i
$285$	25.1577	+	19.4848i	1.49021	+	1.15418i
$286$	−3.36133	−	6.97986i	−0.198759	−	0.412728i
$287$	−1.84593	+	15.7665i	−0.108962	+	0.930666i
$288$	−2.30437	−	6.58551i	−0.135786	−	0.388055i
$289$	1.21961	+	0.0913968i	0.0717415	+	0.00537628i
$290$	−8.74676	−	7.88774i	−0.513627	−	0.463184i
$291$	−19.5283	−	13.3142i	−1.14477	−	0.780490i
$292$	3.65554	+	2.69791i	0.213924	+	0.157883i
$293$	5.14502	−	5.14502i	0.300575	−	0.300575i	−0.540664	−	0.841239i	$-0.681827\pi$
$293$	5.14502	−	5.14502i	0.300575	−	0.300575i	0.841239	+	0.540664i	$0.181827\pi$
$294$	39.0758	+	0.339904i	2.27895	+	0.0198236i
$295$	27.1647	+	6.86699i	1.58159	+	0.399811i
$296$	33.2405	−	5.01019i	1.93206	−	0.291212i
$297$	−1.01705	−	5.37524i	−0.0590152	−	0.311903i
$298$	26.4529	+	13.9808i	1.53237	+	0.809884i
$299$	0.391451	−	5.22355i	0.0226382	−	0.302085i
$300$	−6.80740	+	42.5589i	−0.393025	+	2.45714i
$301$	−2.51558	+	10.8046i	−0.144995	+	0.622769i
$302$	−15.8436	+	45.2783i	−0.911695	+	2.60548i
$303$	9.84645	−	22.5683i	0.565663	−	1.29651i
$304$	0.991043	+	13.2245i	0.0568402	+	0.758480i
$305$	2.01733	+	1.44508i	0.115512	+	0.0827448i
$306$	7.45665	−	24.1739i	0.426268	−	1.38193i
$307$	−1.47402	+	13.0823i	−0.0841269	+	0.746647i	0.878856	+	0.477086i	$0.158307\pi$
$307$	−1.47402	+	13.0823i	−0.0841269	+	0.746647i	−0.962983	+	0.269561i	$0.913122\pi$
$308$	−35.5190	−	26.4536i	−2.02388	−	1.50733i
$309$	−2.95860	−	2.35941i	−0.168309	−	0.134222i
$310$	−1.70672	−	0.792269i	−0.0969353	−	0.0449978i
$311$	1.85707	+	2.00144i	0.105305	+	0.113491i	0.783505	−	0.621386i	$-0.213430\pi$
$311$	1.85707	+	2.00144i	0.105305	+	0.113491i	−0.678200	+	0.734877i	$0.737240\pi$
$312$	6.47416	+	1.73475i	0.366527	+	0.0982107i
$313$	−0.528164	−	1.97113i	−0.0298536	−	0.111415i	0.949391	−	0.314096i	$-0.101701\pi$
$313$	−0.528164	−	1.97113i	−0.0298536	−	0.111415i	−0.979245	+	0.202681i	$0.935035\pi$
$314$	5.62945	+	24.6642i	0.317688	+	1.39188i
$315$	7.22948	−	12.8115i	0.407335	−	0.721847i
$316$	7.52202	−	32.9561i	0.423147	−	1.85393i
$317$	−27.0911	+	1.01368i	−1.52159	+	0.0569339i	−0.785038	−	0.619447i	$-0.787357\pi$
$317$	−27.0911	+	1.01368i	−1.52159	+	0.0569339i	−0.736552	+	0.676381i	$0.763547\pi$
$318$	−13.5113	+	9.97181i	−0.757678	+	0.559191i
$319$	1.49829	−	9.94052i	0.0838882	−	0.556562i
$320$	20.7382	−	13.4450i	1.15930	−	0.751601i
$321$	22.2243	+	5.07255i	1.24044	+	0.283122i
$322$	−18.2983	−	42.4429i	−1.01973	−	2.36525i
$323$	13.7983	−	21.9599i	0.767759	−	1.22188i
$324$	32.7524	+	18.9096i	1.81958	+	1.05053i
$325$	2.59732	+	2.45387i	0.144073	+	0.136116i
$326$	20.0544	−	18.6077i	1.11071	−	1.03059i
$327$	8.92100	+	1.68794i	0.493333	+	0.0933436i
$328$	2.68986	+	23.8732i	0.148523	+	1.31817i
$329$	−2.48590	−	6.41587i	−0.137052	−	0.353718i
$330$	−51.7139	+	23.4419i	−2.84676	+	1.29043i
$331$	−4.52797	−	1.39669i	−0.248880	−	0.0767692i	0.167805	−	0.985820i	$-0.446332\pi$
$331$	−4.52797	−	1.39669i	−0.248880	−	0.0767692i	−0.416685	+	0.909051i	$0.636808\pi$
$332$	11.8898	−	5.18745i	0.652536	−	0.284698i
$333$	−13.6167	+	15.8229i	−0.746190	+	0.867089i
$334$	−4.44779	−	11.3328i	−0.243372	−	0.620103i
$335$	−9.05029	+	13.6878i	−0.494470	+	0.747846i
$336$	13.2013	−	2.95276i	0.720189	−	0.161086i
$337$	−7.60101	+	2.65971i	−0.414053	+	0.144884i	−0.529263	−	0.848458i	$-0.677532\pi$
$337$	−7.60101	+	2.65971i	−0.414053	+	0.144884i	0.115210	+	0.993341i	$0.463246\pi$
$338$	−22.5615	+	19.4158i	−1.22718	+	1.05608i
$339$	−5.26064	+	1.62269i	−0.285719	+	0.0881326i
$340$	35.0634	+	2.12760i	1.90158	+	0.115386i
$341$	−0.239365	−	1.58809i	−0.0129624	−	0.0859997i
$342$	−25.4586	−	25.4586i	−1.37664	−	1.37664i
$343$	2.31355	−	18.3752i	0.124920	−	0.992167i
$344$			16.7892i			0.905215i
$345$	−38.2070	−	3.75649i	−2.05700	−	0.202242i
$346$	−13.3377	+	19.5628i	−0.717039	+	1.05170i
$347$	5.39104	−	10.2003i	0.289406	−	0.547583i	−0.695950	−	0.718090i	$-0.745017\pi$
$347$	5.39104	−	10.2003i	0.289406	−	0.547583i	0.985356	+	0.170507i	$0.0545405\pi$
$348$	12.4267	+	14.4401i	0.666141	+	0.774070i
$349$	−26.6333	−	12.8259i	−1.42565	−	0.686557i	−0.447467	−	0.894301i	$-0.647674\pi$
$349$	−26.6333	−	12.8259i	−1.42565	−	0.686557i	−0.978183	+	0.207744i	$0.933388\pi$
$350$	30.3420	+	8.56611i	1.62185	+	0.457878i
$351$	0.774378	−	0.372921i	0.0413332	−	0.0199050i
$352$	11.6981	+	5.10382i	0.623510	+	0.272035i
$353$	−1.22561	−	1.05472i	−0.0652325	−	0.0561371i	0.619067	−	0.785338i	$-0.287511\pi$
$353$	−1.22561	−	1.05472i	−0.0652325	−	0.0561371i	−0.684299	+	0.729201i	$0.739892\pi$
$354$	−65.1160	−	25.5561i	−3.46087	−	1.35829i
$355$	22.2714	+	13.5569i	1.18204	+	0.719527i
$356$	36.1562	−	28.8336i	1.91628	−	1.52818i
$357$	−24.2014	−	10.6845i	−1.28088	−	0.565485i
$358$	32.5654	−	3.66924i	1.72113	−	0.193925i
$359$	−17.6587	−	25.9005i	−0.931988	−	1.36698i	−0.930230	−	0.366977i	$-0.880393\pi$
$359$	−17.6587	−	25.9005i	−0.931988	−	1.36698i	−0.00175801	−	0.999998i	$-0.500560\pi$
$360$	6.25953	−	21.3651i	0.329906	−	1.12604i
$361$	−8.95550	−	15.5114i	−0.471342	−	0.816388i
$362$	24.2521	−	6.49833i	1.27466	−	0.341545i
$363$	−19.2175	−	12.0752i	−1.00866	−	0.633783i
$364$	2.57022	−	6.46599i	0.134716	−	0.338910i
$365$	−0.851058	−	2.62612i	−0.0445464	−	0.137457i
$366$	−4.54141	−	4.21381i	−0.237383	−	0.220260i
$367$	17.7776	+	24.0877i	0.927981	+	1.25737i	0.966119	+	0.258097i	$0.0830954\pi$
$367$	17.7776	+	24.0877i	0.927981	+	1.25737i	−0.0381383	+	0.999272i	$0.512143\pi$
$368$	−9.50105	−	12.8735i	−0.495277	−	0.671076i
$369$	−10.9363	−	10.1474i	−0.569323	−	0.528254i
$370$	−39.8485	−	20.3422i	−2.07162	−	1.05754i
$371$	3.94933	+	6.90967i	0.205039	+	0.358732i
$372$	2.57706	+	1.61927i	0.133614	+	0.0839553i
$373$	−4.05903	+	1.08761i	−0.210168	+	0.0563144i	−0.362367	−	0.932035i	$-0.618031\pi$
$373$	−4.05903	+	1.08761i	−0.210168	+	0.0563144i	0.152199	+	0.988350i	$0.451365\pi$
$374$	23.1384	+	40.0769i	1.19646	+	2.07233i
$375$	18.4215	−	18.6136i	0.951282	−	0.961201i
$376$	−5.86599	−	8.60383i	−0.302515	−	0.443709i
$377$	1.56948	−	0.176838i	0.0808322	−	0.00910760i
$378$	4.52990	−	6.08225i	0.232993	−	0.312837i
$379$	17.1758	−	13.6972i	0.882261	−	0.703580i	−0.0736346	−	0.997285i	$-0.523460\pi$
$379$	17.1758	−	13.6972i	0.882261	−	0.703580i	0.955896	+	0.293705i	$0.0948884\pi$
$380$	25.9950	−	42.7046i	1.33351	−	2.19070i
$381$	−16.3740	−	6.42631i	−0.838864	−	0.329230i
$382$	14.6279	+	12.5883i	0.748427	+	0.644074i
$383$	−21.8813	−	9.54670i	−1.11808	−	0.487814i	−0.242144	−	0.970240i	$-0.577851\pi$
$383$	−21.8813	−	9.54670i	−1.11808	−	0.487814i	−0.875936	+	0.482427i	$0.839756\pi$
$384$	−43.7494	+	21.0686i	−2.23258	+	1.07515i
$385$	8.18460	+	25.6349i	0.417126	+	1.30648i
$386$	−11.3393	−	5.46073i	−0.577156	−	0.277944i
$387$	−6.80076	−	7.90263i	−0.345702	−	0.401713i
$388$	−17.3513	+	32.8304i	−0.880881	+	1.66671i
$389$	19.5691	−	28.7026i	0.992193	−	1.45528i	0.104675	−	0.994506i	$-0.466620\pi$
$389$	19.5691	−	28.7026i	0.992193	−	1.45528i	0.887518	−	0.460773i	$-0.152428\pi$
$390$	−5.66036	−	6.89477i	−0.286623	−	0.349130i
$391$			31.2902i			1.58241i
$392$	−2.89585	−	27.8788i	−0.146262	−	1.40809i
$393$	28.6049	+	28.6049i	1.44293	+	1.44293i
$394$	1.02737	+	6.81614i	0.0517580	+	0.343392i
$395$	−15.3767	+	13.6174i	−0.773685	+	0.685163i
$396$	39.7733	−	12.2684i	1.99868	−	0.616513i
$397$	−23.3931	+	20.1314i	−1.17406	+	1.01036i	−0.174394	+	0.984676i	$0.555797\pi$
$397$	−23.3931	+	20.1314i	−1.17406	+	1.01036i	−0.999670	+	0.0256879i	$0.991822\pi$
$398$	26.5723	−	9.29807i	1.33195	−	0.466070i
$399$	−29.5385	+	23.3467i	−1.47878	+	1.16880i
$400$	10.9024	+	0.506332i	0.545119	+	0.0253166i
$401$	5.58920	+	14.2411i	0.279111	+	0.711164i	0.999839	+	0.0179459i	$0.00571265\pi$
$401$	5.58920	+	14.2411i	0.279111	+	0.711164i	−0.720728	+	0.693218i	$0.756192\pi$
$402$	26.7220	−	31.0516i	1.33277	−	1.54871i
$403$	0.231271	−	0.100903i	0.0115204	−	0.00502632i
$404$	−36.9665	−	11.4027i	−1.83915	−	0.567304i
$405$	−9.48737	−	20.9296i	−0.471431	−	1.04000i
$406$	11.5485	−	7.80025i	0.573141	−	0.387120i
$407$	−4.27557	−	37.9468i	−0.211932	−	1.88095i
$408$	−39.3394	−	7.44343i	−1.94759	−	0.368504i
$409$	−1.58128	+	1.46721i	−0.0781893	+	0.0725490i	−0.718299	−	0.695734i	$-0.755079\pi$
$409$	−1.58128	+	1.46721i	−0.0781893	+	0.0725490i	0.640110	+	0.768283i	$0.278889\pi$
$410$	15.5926	−	27.9149i	0.770063	−	1.37862i
$411$	−32.5104	−	18.7699i	−1.60362	−	0.925850i
$412$	−3.16314	+	5.03412i	−0.155837	+	0.248013i
$413$	−15.6186	+	29.2432i	−0.768539	+	1.43896i
$414$	42.3489	+	9.66586i	2.08133	+	0.475051i
$415$	−7.70855	−	1.64466i	−0.378398	−	0.0807334i
$416$	−0.298861	+	1.98282i	−0.0146529	+	0.0972156i
$417$	34.2970	−	25.3124i	1.67953	−	1.23955i
$418$	65.8154	−	2.46264i	3.21914	−	0.120452i
$419$	5.14356	−	22.5354i	0.251279	−	1.10093i	−0.679018	−	0.734122i	$-0.737594\pi$
$419$	5.14356	−	22.5354i	0.251279	−	1.10093i	0.930298	−	0.366806i	$-0.119549\pi$
$420$	−46.9400	−	19.9319i	−2.29044	−	0.972576i
$421$	−1.01783	−	4.45940i	−0.0496059	−	0.217338i	0.944050	−	0.329803i	$-0.106982\pi$
$421$	−1.01783	−	4.45940i	−0.0496059	−	0.217338i	−0.993656	+	0.112465i	$0.964125\pi$
$422$	3.85285	+	14.3790i	0.187554	+	0.699960i
$423$	6.24623	+	1.67367i	0.303702	+	0.0813767i
$424$	8.19255	+	8.82947i	0.397865	+	0.428797i
$425$	−16.5670	−	13.4577i	−0.803618	−	0.652794i
$426$	−50.8917	−	40.5847i	−2.46571	−	1.96634i
$427$	−2.23383	+	1.90552i	−0.108103	+	0.0922145i
$428$	4.01000	−	35.5897i	0.193831	−	1.72029i
$429$	2.24425	−	7.27567i	0.108353	−	0.351273i
$430$	13.0125	−	18.1655i	0.627521	−	0.876019i
$431$	1.90325	+	25.3971i	0.0916763	+	1.22333i	0.833416	+	0.552647i	$0.186382\pi$
$431$	1.90325	+	25.3971i	0.0916763	+	1.22333i	−0.741740	+	0.670688i	$0.765999\pi$
$432$	1.04984	−	2.40625i	0.0505102	−	0.115771i
$433$	1.99801	−	5.70999i	0.0960183	−	0.274405i	−0.885849	−	0.463973i	$-0.846423\pi$
$433$	1.99801	−	5.70999i	0.0960183	−	0.274405i	0.981867	+	0.189569i	$0.0607090\pi$
$434$	1.39569	−	1.73461i	0.0669953	−	0.0832640i
$435$	−1.02882	−	11.5298i	−0.0493280	−	0.552813i
$436$	1.06600	−	14.2247i	0.0510519	−	0.681241i
$437$	39.3717	+	20.8086i	1.88341	+	0.995409i
$438$	1.28129	+	6.77179i	0.0612225	+	0.323568i
$439$	−27.3149	+	4.11705i	−1.30367	+	0.196496i	−0.763909	−	0.645324i	$-0.776722\pi$
$439$	−27.3149	+	4.11705i	−1.30367	+	0.196496i	−0.539758	+	0.841820i	$0.681484\pi$
$440$	20.8614	+	34.9769i	0.994530	+	1.66746i
$441$	12.6559	+	11.9495i	0.602660	+	0.569022i
$442$	−5.14110	+	5.14110i	−0.244537	+	0.244537i
$443$	31.0439	+	22.9114i	1.47494	+	1.08856i	0.974924	+	0.222540i	$0.0714349\pi$
$443$	31.0439	+	22.9114i	1.47494	+	1.08856i	0.500017	+	0.866016i	$0.333327\pi$
$444$	59.7929	+	40.7661i	2.83765	+	1.93467i
$445$	−28.0621	+	1.44916i	−1.33027	+	0.0686966i
$446$	39.9148	+	2.99120i	1.89002	+	0.141638i
$447$	9.71219	+	27.7558i	0.459371	+	1.31281i
$448$	9.53837	+	27.6442i	0.450646	+	1.30606i
$449$	4.87379	+	10.1205i	0.230009	+	0.477618i	0.983748	−	0.179556i	$-0.0574661\pi$
$449$	4.87379	+	10.1205i	0.230009	+	0.477618i	−0.753739	+	0.657174i	$0.771752\pi$
$450$	−23.3317	+	18.2650i	−1.09987	+	0.861020i
$451$	27.2146	−	2.03945i	1.28149	−	0.0960342i
$452$	3.45880	+	7.92766i	0.162688	+	0.372886i
$453$	−41.6824	+	22.0298i	−1.95841	+	1.03505i
$454$	−0.389519	−	0.488441i	−0.0182810	−	0.0229237i
$455$	−3.55749	+	2.28448i	−0.166778	+	0.107098i
$456$	−35.5274	+	44.5499i	−1.66372	+	2.08624i
$457$	5.71253	−	30.1915i	0.267221	−	1.41230i	−0.549611	−	0.835421i	$-0.685224\pi$
$457$	5.71253	−	30.1915i	0.267221	−	1.41230i	0.816832	−	0.576876i	$-0.195728\pi$
$458$	1.43030	−	38.2255i	0.0668334	−	1.78616i
$459$	−4.44632	+	2.56708i	−0.207536	+	0.119821i
$460$	0.856196	+	60.3110i	0.0399203	+	2.81201i
$461$	23.1658	−	5.28744i	1.07894	−	0.246260i	0.354119	−	0.935200i	$-0.384781\pi$
$461$	23.1658	−	5.28744i	1.07894	−	0.246260i	0.724818	+	0.688940i	$0.241924\pi$
$462$	−12.2027	−	66.0643i	−0.567719	−	3.07359i
$463$	5.01589	−	3.15169i	0.233108	−	0.146472i	−0.410413	−	0.911900i	$-0.634616\pi$
$463$	5.01589	−	3.15169i	0.233108	−	0.146472i	0.643522	+	0.765428i	$0.277473\pi$
$464$	3.28132	−	3.53642i	0.152332	−	0.164174i
$465$	−0.699997	−	1.71171i	−0.0324616	−	0.0793787i
$466$	10.0737	+	1.51836i	0.466654	+	0.0703367i
$467$	−0.682037	−	18.2278i	−0.0315609	−	0.843483i	−0.921725	−	0.387844i	$-0.873220\pi$
$467$	−0.682037	−	18.2278i	−0.0315609	−	0.843483i	0.890164	−	0.455640i	$-0.150589\pi$
$468$	3.47915	+	5.53704i	0.160824	+	0.255950i
$469$	−13.1440	−	14.2900i	−0.606934	−	0.659852i
$470$	−0.321570	+	13.8556i	−0.0148329	+	0.639110i
$471$	−12.4319	+	21.5327i	−0.572831	+	0.992172i
$472$	−12.9859	+	48.4642i	−0.597727	+	2.23075i
$473$	19.0588	+	0.713132i	0.876327	+	0.0327898i
$474$	42.3681	−	28.8861i	1.94603	−	1.32678i
$475$	−27.9509	+	11.8963i	−1.28248	+	0.545839i
$476$	−12.4238	+	39.6637i	−0.569444	+	1.81798i
$477$	−7.43273	−	0.837467i	−0.340321	−	0.0383450i
$478$	−3.59860	−	6.80889i	−0.164596	−	0.311431i
$479$	−4.06657	+	10.3615i	−0.185806	+	0.473427i	−0.993177	−	0.116618i	$-0.962795\pi$
$479$	−4.06657	+	10.3615i	−0.185806	+	0.473427i	0.807371	+	0.590045i	$0.200890\pi$
$480$	14.4775	+	2.52698i	0.660805	+	0.115340i
$481$	5.58486	−	2.19190i	0.254648	−	0.0999419i
$482$	−42.9786	−	15.0389i	−1.95762	−	0.685002i
$483$	15.1893	−	42.8103i	0.691137	−	1.94794i
$484$	−15.4717	+	32.1273i	−0.703258	+	1.46033i
$485$	20.1874	−	10.0772i	0.916664	−	0.457584i
$486$	14.3753	+	46.6037i	0.652078	+	2.11399i
$487$	−19.2843	+	3.64879i	−0.873857	+	0.165343i	−0.603448	−	0.797403i	$-0.706207\pi$
$487$	−19.2843	+	3.64879i	−0.873857	+	0.165343i	−0.270410	+	0.962745i	$0.587159\pi$
$488$	−2.63871	+	3.57532i	−0.119449	+	0.161847i
$489$	26.8872			1.21588
$490$	−18.4743	+	32.4086i	−0.834585	+	1.46407i
$491$	−25.8839			−1.16812			−0.584062	−	0.811709i	$-0.698537\pi$
$491$	−25.8839			−1.16812			−0.584062	+	0.811709i	$0.698537\pi$
$492$	−30.7117	+	41.6128i	−1.38459	+	1.87605i
$493$	−9.27007	+	1.75399i	−0.417503	+	0.0789958i
$494$	3.05000	+	9.88787i	0.137226	+	0.444876i
$495$	−23.9874	−	8.01320i	−1.07815	−	0.360167i
$496$	0.334401	−	0.694392i	0.0150151	−	0.0311791i
$497$	−21.9090	+	21.7192i	−0.982751	+	0.974240i
$498$	18.5737	+	6.49922i	0.832308	+	0.291237i
$499$	−25.1466	+	9.86929i	−1.12571	+	0.441810i	−0.853847	−	0.520524i	$-0.825736\pi$
$499$	−25.1466	+	9.86929i	−1.12571	+	0.441810i	−0.271867	+	0.962335i	$0.587641\pi$
$500$	−32.3007	−	25.4860i	−1.44453	−	1.13977i
$501$	4.37136	−	11.1380i	0.195298	−	0.497611i
$502$	−24.0193	−	45.4467i	−1.07203	−	2.02839i
$503$	−40.6693	−	4.58233i	−1.81336	−	0.204316i	−0.860854	−	0.508851i	$-0.830070\pi$
$503$	−40.6693	−	4.58233i	−1.81336	−	0.204316i	−0.952501	+	0.304535i	$0.901499\pi$
$504$	22.7554	+	13.2702i	1.01361	+	0.591100i
$505$	14.2252	+	18.7126i	0.633013	+	0.832698i
$506$	−65.6533	+	44.7617i	−2.91865	+	1.98990i
$507$	−29.2337	−	1.09385i	−1.29831	−	0.0485794i
$508$	−7.15266	+	26.6941i	−0.317348	+	1.18436i
$509$	10.1168	−	17.5228i	0.448418	−	0.776683i	−0.549865	−	0.835253i	$-0.685321\pi$
$509$	10.1168	−	17.5228i	0.448418	−	0.776683i	0.998283	+	0.0585704i	$0.0186542\pi$
$510$	36.7952	+	38.5437i	1.62932	+	1.70675i
$511$	3.25826	−	0.229927i	0.144137	−	0.0101714i
$512$	12.5588	+	19.9873i	0.555028	+	0.883322i
$513$	0.273216	+	7.30186i	0.0120628	+	0.322385i
$514$	4.43577	+	0.668584i	0.195653	+	0.0294900i
$515$	3.34372	−	1.36740i	0.147342	−	0.0602548i
$516$	−24.5838	+	26.4951i	−1.08224	+	1.16638i
$517$	−10.0161	+	6.29352i	−0.440506	+	0.276788i
$518$	34.7047	−	39.9746i	1.52484	−	1.75638i
$519$	−22.6866	+	5.17807i	−0.995832	+	0.227292i
$520$	−4.45972	+	4.58817i	−0.195572	+	0.201204i
$521$	−21.0257	+	12.1392i	−0.921153	+	0.531828i	−0.884003	−	0.467482i	$-0.845161\pi$
$521$	−21.0257	+	12.1392i	−0.921153	+	0.531828i	−0.0371502	+	0.999310i	$0.511828\pi$
$522$	−0.489725	+	13.0882i	−0.0214347	+	0.572853i
$523$	−2.38005	+	12.5789i	−0.104073	+	0.550037i	0.891257	+	0.453499i	$0.149824\pi$
$523$	−2.38005	+	12.5789i	−0.104073	+	0.550037i	−0.995329	+	0.0965376i	$0.969223\pi$
$524$	39.6272	−	49.6909i	1.73112	−	2.17076i
$525$	16.1337	+	26.4546i	0.704133	+	1.15457i
$526$	39.6247	+	49.6878i	1.72772	+	2.16649i
$527$	−1.33259	+	0.704292i	−0.0580483	+	0.0306794i
$528$	−9.30009	−	21.3160i	−0.404734	−	0.927661i
$529$	−30.6414	+	2.29626i	−1.33224	+	0.0998373i
$530$	−2.02082	−	15.9029i	−0.0877790	−	0.690778i
$531$	−13.5188	−	28.0721i	−0.586666	−	1.21823i
$532$	41.6459	+	42.0097i	1.80558	+	1.82135i
$533$	1.41614	+	4.04710i	0.0613400	+	0.175300i
$534$	69.9557	+	5.24245i	3.02728	+	0.226863i
$535$	−14.5737	+	16.1609i	−0.630078	+	0.698697i
$536$	−24.2782	−	16.5526i	−1.04866	−	0.714964i
$537$	25.9147	+	19.1259i	1.11830	+	0.825344i
$538$	−4.99272	+	4.99272i	−0.215251	+	0.215251i
$539$	−31.7706	+	2.10314i	−1.36845	+	0.0905888i
$540$	−8.49991	+	5.06964i	−0.365778	+	0.218163i
$541$	−3.55297	+	0.535525i	−0.152754	+	0.0230240i	−0.224974	−	0.974365i	$-0.572230\pi$
$541$	−3.55297	+	0.535525i	−0.152754	+	0.0230240i	0.0722199	+	0.997389i	$0.476992\pi$
$542$	−9.56628	−	50.5590i	−0.410907	−	2.17169i
$543$	21.8166	+	11.5304i	0.936239	+	0.494817i
$544$	0.895123	−	11.9446i	0.0383781	−	0.512120i
$545$	−5.55980	+	6.64922i	−0.238155	+	0.284821i
$546$	9.52957	−	4.53825i	0.407828	−	0.194219i
$547$	−0.833924	+	2.38322i	−0.0356560	+	0.101899i	−0.960335	−	0.278848i	$-0.910047\pi$
$547$	−0.833924	+	2.38322i	−0.0356560	+	0.101899i	0.924679	+	0.380747i	$0.124333\pi$
$548$	−23.5854	+	54.0582i	−1.00752	+	2.30925i
$549$	−0.206215	−	2.75175i	−0.00880104	−	0.117442i
$550$	4.53738	−	54.0128i	0.193475	−	2.30311i
$551$	−3.95777	+	12.8308i	−0.168606	+	0.546609i
$552$	7.69722	−	68.3147i	0.327616	−	2.90767i
$553$	−11.2624	−	21.5356i	−0.478924	−	0.915788i
$554$	−19.1750	−	15.2916i	−0.814670	−	0.649677i
$555$	−15.1106	−	41.2937i	−0.641408	−	1.75282i
$556$	−45.5517	−	49.0931i	−1.93182	−	2.08201i
$557$	13.0568	+	3.49856i	0.553234	+	0.148239i	0.524596	−	0.851351i	$-0.324216\pi$
$557$	13.0568	+	3.49856i	0.553234	+	0.148239i	0.0286381	+	0.999590i	$0.490883\pi$
$558$	0.541557	+	2.02112i	0.0229259	+	0.0855607i
$559$	0.666774	+	2.92133i	0.0282015	+	0.123559i
$560$	−3.68471	+	12.3769i	−0.155708	+	0.523021i
$561$	−10.1206	+	44.3413i	−0.427292	+	1.87209i
$562$	57.7076	−	2.15927i	2.43425	−	0.0910832i
$563$	6.53879	−	4.82585i	0.275577	−	0.203385i	−0.447259	−	0.894404i	$-0.647600\pi$
$563$	6.53879	−	4.82585i	0.275577	−	0.203385i	0.722836	+	0.691019i	$0.242838\pi$
$564$	3.34114	−	22.1670i	0.140687	−	0.933400i
$565$	1.09660	−	5.13978i	0.0461344	−	0.216232i
$566$	35.3463	+	8.06755i	1.48571	+	0.339105i
$567$	26.7374	−	4.93865i	1.12287	−	0.207404i
$568$	−24.8400	+	39.5327i	−1.04226	+	1.65875i
$569$	8.48853	+	4.90085i	0.355858	+	0.205454i	0.667262	−	0.744823i	$-0.267466\pi$
$569$	8.48853	+	4.90085i	0.355858	+	0.205454i	−0.311405	+	0.950277i	$0.600799\pi$
$570$	72.9683	−	20.6663i	3.05630	−	0.865615i
$571$	−12.8502	+	11.9233i	−0.537765	+	0.498973i	−0.901648	−	0.432472i	$-0.857642\pi$
$571$	−12.8502	+	11.9233i	−0.537765	+	0.498973i	0.363882	+	0.931445i	$0.381451\pi$
$572$	−11.7538	−	2.22394i	−0.491452	−	0.0929877i
$573$	2.12364	+	18.8478i	0.0887162	+	0.787378i
$574$	27.6212	+	25.8532i	1.15289	+	1.07909i
$575$	20.9174	−	30.0940i	0.872314	−	1.25501i
$576$	−26.2627	−	8.10095i	−1.09428	−	0.337540i
$577$	2.55714	−	1.11567i	0.106455	−	0.0464460i	−0.345989	−	0.938238i	$-0.612457\pi$
$577$	2.55714	−	1.11567i	0.106455	−	0.0464460i	0.452445	+	0.891792i	$0.350552\pi$
$578$	1.90130	−	2.20936i	0.0790839	−	0.0918971i
$579$	−4.51905	−	11.5144i	−0.187805	−	0.478520i
$580$	−17.8198	+	3.63443i	−0.739927	+	0.150911i
$581$	4.08298	−	8.38491i	0.169390	−	0.347865i
$582$	−53.1685	+	18.6044i	−2.20390	+	0.771179i
$583$	10.3710	−	8.92500i	0.429524	−	0.369636i
$584$	4.72374	−	1.45708i	0.195470	−	0.0602944i
$585$	0.240659	−	3.96612i	0.00995002	−	0.163979i
$586$	−2.58457	−	17.1475i	−0.106768	−	0.708358i
$587$	−17.0186	−	17.0186i	−0.702433	−	0.702433i	0.262499	−	0.964932i	$-0.415453\pi$
$587$	−17.0186	−	17.0186i	−0.702433	−	0.702433i	−0.964932	+	0.262499i	$0.915453\pi$
$588$	36.2520	−	48.2358i	1.49501	−	1.98921i
$589$			2.14513i			0.0883885i
$590$	51.6128	−	42.3722i	2.12486	−	1.74444i
$591$	−3.81631	+	5.59750i	−0.156982	+	0.230250i
$592$	8.56295	−	16.2019i	0.351935	−	0.665894i
$593$	9.90892	+	11.5144i	0.406910	+	0.472838i	0.923613	−	0.383327i	$-0.125222\pi$
$593$	9.90892	+	11.5144i	0.406910	+	0.472838i	−0.516702	+	0.856165i	$0.672841\pi$
$594$	−11.7469	−	5.65700i	−0.481980	−	0.232110i
$595$	20.1713	−	15.1962i	0.826944	−	0.622982i
$596$	41.6250	−	20.0455i	1.70503	−	0.821097i
$597$	25.3598	+	11.0644i	1.03791	+	0.452834i
$598$	−9.46263	−	8.14325i	−0.386956	−	0.333002i
$599$	−2.28671	−	0.897468i	−0.0934325	−	0.0366696i	0.318164	−	0.948036i	$-0.396934\pi$
$599$	−2.28671	−	0.897468i	−0.0934325	−	0.0366696i	−0.411597	+	0.911366i	$0.635029\pi$
$600$	32.8597	+	33.4571i	1.34149	+	1.36588i
$601$	−26.5302	+	21.1571i	−1.08219	+	0.863016i	−0.991139	−	0.132831i	$-0.957593\pi$
$601$	−26.5302	+	21.1571i	−1.08219	+	0.863016i	−0.0910487	+	0.995846i	$0.529022\pi$
$602$	17.1587	+	20.1151i	0.699337	+	0.819829i
$603$	18.1326	−	2.04305i	0.738416	−	0.0831995i
$604$	41.7260	+	61.2009i	1.69781	+	2.49023i
$605$	19.0102	−	10.3950i	0.772874	−	0.422618i
$606$	−29.3416	−	50.8212i	−1.19192	−	2.06447i
$607$	5.47016	−	1.46572i	0.222027	−	0.0594919i	−0.146091	−	0.989271i	$-0.546669\pi$
$607$	5.47016	−	1.46572i	0.222027	−	0.0594919i	0.368117	+	0.929779i	$0.380002\pi$
$608$	−14.4343	−	9.06969i	−0.585389	−	0.367824i
$609$	13.5345	+	2.10024i	0.548445	+	0.0851059i
$610$	5.62608	−	1.82327i	0.227793	−	0.0738220i
$611$	−1.36238	−	1.26410i	−0.0551159	−	0.0511401i
$612$	−23.1962	−	31.4298i	−0.937651	−	1.27047i
$613$	1.15507	+	1.56507i	0.0466529	+	0.0632124i	0.827303	−	0.561756i	$-0.189874\pi$
$613$	1.15507	+	1.56507i	0.0466529	+	0.0632124i	−0.780650	+	0.624968i	$0.785112\pi$
$614$	23.0004	+	21.3413i	0.928221	+	0.861264i
$615$	29.8944	−	9.68803i	1.20546	−	0.390659i
$616$	−46.1078	+	14.0030i	−1.85774	+	0.564199i
$617$	−26.5180	−	16.6624i	−1.06758	−	0.670803i	−0.120794	−	0.992678i	$-0.538544\pi$
$617$	−26.5180	−	16.6624i	−1.06758	−	0.670803i	−0.946782	+	0.321875i	$0.895687\pi$
$618$	−8.71152	+	2.33425i	−0.350429	+	0.0938971i
$619$	−14.5536	−	25.2076i	−0.584958	−	1.01318i	−0.994881	−	0.101057i	$-0.967778\pi$
$619$	−14.5536	−	25.2076i	−0.584958	−	1.01318i	0.409922	−	0.912120i	$-0.365556\pi$
$620$	−2.54925	+	1.39397i	−0.102380	+	0.0559830i
$621$	−4.96606	−	7.28388i	−0.199281	−	0.292292i
$622$	6.46616	−	0.728561i	0.259269	−	0.0292126i
$623$	6.32316	−	32.6409i	0.253332	−	1.30773i
$624$	2.85670	−	2.27814i	0.114360	−	0.0911987i
$625$	6.93726	+	24.0182i	0.277491	+	0.960728i
$626$	−4.52731	−	1.77684i	−0.180948	−	0.0710168i
$627$	49.0632	+	42.2223i	1.95940	+	1.68620i
$628$	35.8044	+	15.6213i	1.42875	+	0.623358i
$629$	−32.2893	+	15.5497i	−1.28746	+	0.620007i
$630$	−14.3357	−	31.9946i	−0.571149	−	1.27470i
$631$	−11.1685	−	5.37846i	−0.444610	−	0.214113i	0.198164	−	0.980169i	$-0.436502\pi$
$631$	−11.1685	−	5.37846i	−0.444610	−	0.214113i	−0.642774	+	0.766056i	$0.722217\pi$
$632$	−23.9912	−	27.8783i	−0.954320	−	1.10894i
$633$	−6.83635	+	12.9350i	−0.271720	+	0.514120i
$634$	−36.3968	+	53.3843i	−1.44550	+	2.12016i
$635$	12.9785	−	10.6549i	0.515035	−	0.422826i
$636$			25.9298i			1.02818i
$637$	−1.61107	−	4.73591i	−0.0638328	−	0.187644i
$638$	−16.9414	−	16.9414i	−0.670716	−	0.670716i
$639$	−4.32127	−	28.6697i	−0.170947	−	1.13416i
$640$	2.80761	−	46.2701i	0.110980	−	1.82898i
$641$	−26.0542	+	8.03664i	−1.02908	+	0.317428i	−0.762914	−	0.646500i	$-0.776232\pi$
$641$	−26.0542	+	8.03664i	−1.02908	+	0.317428i	−0.266163	+	0.963928i	$0.585756\pi$
$642$	41.1800	−	35.4382i	1.62524	−	1.39863i
$643$	−14.6791	+	5.13645i	−0.578888	+	0.202562i	−0.603811	−	0.797128i	$-0.706352\pi$
$643$	−14.6791	+	5.13645i	−0.578888	+	0.202562i	0.0249226	+	0.999689i	$0.492066\pi$
$644$	−69.5090	−	16.1833i	−2.73904	−	0.637713i
$645$	21.5183	−	4.38875i	0.847283	−	0.172807i
$646$	−22.5821	−	57.5382i	−0.888480	−	2.26381i
$647$	−7.99330	+	9.28838i	−0.314249	+	0.365164i	−0.892777	−	0.450498i	$-0.851246\pi$
$647$	−7.99330	+	9.28838i	−0.314249	+	0.365164i	0.578528	+	0.815662i	$0.303627\pi$
$648$	37.7159	−	16.4553i	1.48162	−	0.646425i
$649$	54.4641	+	16.8000i	2.13790	+	0.659456i
$650$	8.38137	−	1.50776i	0.328744	−	0.0591392i
$651$	2.16509	−	0.316711i	0.0848566	−	0.0124129i
$652$	−4.72971	−	41.9773i	−0.185230	−	1.64396i
$653$	18.9360	+	3.58289i	0.741024	+	0.140209i	0.542699	−	0.839927i	$-0.317402\pi$
$653$	18.9360	+	3.58289i	0.741024	+	0.140209i	0.198325	+	0.980136i	$0.436450\pi$
$654$	15.8622	−	14.7180i	0.620261	−	0.575518i
$655$	−37.1566	+	10.5236i	−1.45183	+	0.411191i
$656$	11.3421	+	6.54834i	0.442833	+	0.255670i
$657$	−1.63323	+	2.59927i	−0.0637184	+	0.101407i
$658$	−15.8212	−	4.31311i	−0.616774	−	0.168142i
$659$	29.7970	+	6.80098i	1.16073	+	0.264928i	0.759162	−	0.650902i	$-0.225609\pi$
$659$	29.7970	+	6.80098i	1.16073	+	0.264928i	0.401565	+	0.915830i	$0.368466\pi$
$660$	−18.2939	+	85.7435i	−0.712088	+	3.33756i
$661$	0.300590	−	1.99428i	0.0116916	−	0.0775686i	−0.982224	−	0.187712i	$-0.939893\pi$
$661$	0.300590	−	1.99428i	0.0116916	−	0.0775686i	0.993916	+	0.110143i	$0.0351310\pi$
$662$	−9.08648	+	6.70613i	−0.353156	+	0.260641i
$663$	−7.14068	+	0.267185i	−0.277321	+	0.0103766i
$664$	3.14074	−	13.7605i	0.121884	−	0.534010i
$665$	−5.70668	−	35.4869i	−0.221296	−	1.37612i
$666$	11.0708	+	48.5045i	0.428987	+	1.87951i
$667$	−4.19281	−	15.6478i	−0.162346	−	0.605884i
$668$	−18.1581	−	4.86544i	−0.702557	−	0.188250i
$669$	26.7572	+	28.8374i	1.03449	+	1.11492i
$670$	13.4393	+	36.7264i	0.519204	+	1.41886i
$671$	3.94656	+	3.14728i	0.152355	+	0.121499i
$672$	−7.02298	+	15.9077i	−0.270917	+	0.613653i
$673$	3.51897	−	31.2317i	0.135646	−	1.20389i	−0.722825	−	0.691032i	$-0.757157\pi$
$673$	3.51897	−	31.2317i	0.135646	−	1.20389i	0.858471	−	0.512862i	$-0.171415\pi$
$674$	−5.65707	+	18.3398i	−0.217902	+	0.706422i
$675$	5.99242	+	0.503398i	0.230648	+	0.0193758i
$676$	3.43472	+	45.8331i	0.132104	+	1.76281i
$677$	−5.19549	+	11.9082i	−0.199679	+	0.457669i	−0.987376	−	0.158394i	$-0.949368\pi$
$677$	−5.19549	+	11.9082i	−0.199679	+	0.457669i	0.787697	+	0.616063i	$0.211273\pi$
$678$	−4.33344	+	12.3843i	−0.166425	+	0.475615i
$679$	5.82733	+	26.0530i	0.223633	+	0.999822i
$680$	24.5173	−	29.3214i	0.940197	−	1.12443i
$681$	0.0458845	−	0.612287i	0.00175830	−	0.0234629i
$682$	−3.38406	−	1.78853i	−0.129582	−	0.0684863i
$683$	3.87771	+	20.4942i	0.148376	+	0.784188i	0.975132	+	0.221626i	$0.0711365\pi$
$683$	3.87771	+	20.4942i	0.148376	+	0.784188i	−0.826755	+	0.562562i	$0.809816\pi$
$684$	−54.9733	+	8.28589i	−2.10196	+	0.316819i
$685$	30.7780	−	18.3571i	1.17597	−	0.701388i
$686$	−31.9618	−	30.4419i	−1.22031	−	1.16228i
$687$	26.5836	−	26.5836i	1.01423	−	1.01423i
$688$	7.36414	+	5.43498i	0.280755	+	0.207207i
$689$	1.77616	+	1.21097i	0.0676663	+	0.0461341i
$690$	−61.2757	+	67.9490i	−2.33273	+	2.58678i
$691$	−1.07836	−	0.0808119i	−0.0410227	−	0.00307423i	0.0542029	−	0.998530i	$-0.482738\pi$
$691$	−1.07836	−	0.0808119i	−0.0410227	−	0.00307423i	−0.0952257	+	0.995456i	$0.530357\pi$
$692$	12.0750	+	34.5083i	0.459022	+	1.31181i
$693$	16.0306	−	25.2679i	0.608952	−	0.959849i
$694$	−11.9304	−	24.7738i	−0.452873	−	0.940401i
$695$	5.12964	+	40.3678i	0.194578	+	1.53124i
$696$	20.6705	−	1.54904i	0.783513	−	0.0587162i
$697$	−10.2422	−	23.4755i	−0.387953	−	0.889197i
$698$	−62.2877	+	32.9200i	−2.35762	+	1.24604i
$699$	6.24262	+	7.82800i	0.236118	+	0.296082i
$700$	38.4639	−	29.8421i	1.45380	−	1.12793i
$701$	17.8164	−	22.3411i	0.672917	−	0.843811i	−0.321763	−	0.946820i	$-0.604276\pi$
$701$	17.8164	−	22.3411i	0.672917	−	0.843811i	0.994680	+	0.103009i	$0.0328470\pi$
$702$	0.380826	−	2.01272i	0.0143734	−	0.0759650i
$703$	−1.90715	+	50.9697i	−0.0719296	+	1.92236i
$704$	43.5399	−	25.1377i	1.64097	−	0.947414i
$705$	−9.49391	+	9.76735i	−0.357561	+	0.367860i
$706$	−3.75706	+	0.857524i	−0.141399	+	0.0322733i
$707$	−25.5398	+	11.0109i	−0.960524	+	0.414109i
$708$	−91.4573	+	57.4665i	−3.43718	+	2.15972i
$709$	24.5442	−	26.4523i	0.921777	−	0.993439i	−0.0782174	−	0.996936i	$-0.524923\pi$
$709$	24.5442	−	26.4523i	0.921777	−	0.993439i	0.999994	+	0.00349751i	$0.00111330\pi$
$710$	57.5162	−	23.5210i	2.15854	−	0.882727i
$711$	22.5852	+	3.40417i	0.847010	+	0.127666i
$712$	−1.88143	−	50.2824i	−0.0705097	−	1.88441i
$713$	−1.37693	−	2.19137i	−0.0515664	−	0.0820674i
$714$	−54.7396	+	31.2873i	−2.04858	+	1.17090i
$715$	5.01897	+	5.25748i	0.187699	+	0.196618i
$716$	25.3015	−	43.8234i	0.945560	−	1.63776i
$717$	1.95900	−	7.31110i	0.0731604	−	0.273038i
$718$	−74.6579	−	2.79350i	−2.78621	−	0.104253i
$719$	21.3289	−	14.5418i	0.795434	−	0.542318i	−0.0960464	−	0.995377i	$-0.530620\pi$
$719$	21.3289	−	14.5418i	0.795434	−	0.542318i	0.891480	+	0.453059i	$0.149667\pi$
$720$	−7.34487	−	9.66183i	−0.273727	−	0.360075i
$721$	0.618675	+	4.22937i	0.0230407	+	0.157510i
$722$	−42.4187	−	4.77944i	−1.57866	−	0.177872i
$723$	−20.9109	−	39.5654i	−0.777685	−	1.47145i
$724$	14.1639	−	36.0891i	0.526399	−	1.34124i
$725$	10.0882	+	4.51006i	0.374667	+	0.167500i
$726$	−50.3528	+	19.7620i	−1.86877	+	0.733438i
$727$	−17.4254	−	6.09740i	−0.646271	−	0.226140i	−0.0128142	−	0.999918i	$-0.504079\pi$
$727$	−17.4254	−	6.09740i	−0.646271	−	0.226140i	−0.633457	+	0.773778i	$0.718365\pi$
$728$	−3.99997	−	6.42781i	−0.148249	−	0.238230i
$729$	−7.42031	+	15.4084i	−0.274826	+	0.570683i
$730$	−6.24028	−	2.08462i	−0.230963	−	0.0771553i
$731$	−5.27589	−	17.1040i	−0.195136	−	0.632615i
$732$	−9.39935	+	1.77845i	−0.347410	+	0.0657335i
$733$	5.07742	−	6.87966i	0.187539	−	0.254106i	−0.700734	−	0.713423i	$-0.747144\pi$
$733$	5.07742	−	6.87966i	0.187539	−	0.254106i	0.888272	+	0.459317i	$0.151906\pi$
$734$	71.3500			2.63358
$735$	−34.9746	+	10.9991i	−1.29006	+	0.405709i
$736$	20.5672			0.758116
$737$	−19.8215	+	26.8571i	−0.730133	+	0.989295i
$738$	−34.9362	+	6.61029i	−1.28602	+	0.243328i
$739$	8.06933	+	26.1601i	0.296835	+	0.962316i	0.974012	+	0.226496i	$0.0727269\pi$
$739$	8.06933	+	26.1601i	0.296835	+	0.962316i	−0.677177	+	0.735820i	$0.736797\pi$
$740$	−61.8112	+	30.8551i	−2.27222	+	1.13426i
$741$	−4.41249	+	9.16264i	−0.162097	+	0.336598i
$742$	18.8392	+	2.20569i	0.691609	+	0.0809733i
$743$	21.9030	+	7.66419i	0.803543	+	0.281172i	0.700636	−	0.713519i	$-0.252900\pi$
$743$	21.9030	+	7.66419i	0.803543	+	0.281172i	0.102907	+	0.994691i	$0.467186\pi$
$744$	3.08264	−	1.20985i	0.113015	−	0.0443551i
$745$	−27.6538	−	4.82684i	−1.01316	−	0.176842i
$746$	−3.65893	+	9.32279i	−0.133963	+	0.341332i
$747$	4.09558	+	7.74922i	0.149849	+	0.283529i
$748$	71.0075	+	8.00063i	2.59629	+	0.292532i
$749$	−14.4121	−	21.3375i	−0.526607	−	0.779654i
$750$	−9.62226	−	61.6677i	−0.351355	−	2.25179i
$751$	34.7112	−	23.6657i	1.26663	−	0.863575i	0.271530	−	0.962430i	$-0.412471\pi$
$751$	34.7112	−	23.6657i	1.26663	−	0.863575i	0.995102	+	0.0988554i	$0.0315181\pi$
$752$	−5.67276	−	0.212260i	−0.206864	−	0.00774031i
$753$	13.0756	−	48.7988i	0.476501	−	1.77833i
$754$	1.88210	−	3.25989i	0.0685419	−	0.118718i
$755$	1.04427	−	44.9949i	0.0380049	−	1.63753i
$756$	−3.40295	−	11.2049i	−0.123764	−	0.407518i
$757$	−4.92211	−	7.83349i	−0.178897	−	0.284713i	0.745223	−	0.666815i	$-0.232343\pi$
$757$	−4.92211	−	7.83349i	−0.178897	−	0.284713i	−0.924120	+	0.382102i	$0.875200\pi$
$758$	−1.95772	−	52.3211i	−0.0711075	−	1.90039i
$759$	−77.2227	−	11.6395i	−2.80301	−	0.422485i
$760$	−20.5900	−	50.3489i	−0.746878	−	1.82635i
$761$	−10.5494	+	11.3695i	−0.382415	+	0.412145i	−0.894698	−	0.446671i	$-0.852609\pi$
$761$	−10.5494	+	11.3695i	−0.382415	+	0.412145i	0.512283	+	0.858817i	$0.328800\pi$
$762$	−35.4963	+	22.3038i	−1.28589	+	0.807981i
$763$	−6.05391	−	8.27786i	−0.219166	−	0.299679i
$764$	29.0523	−	6.63100i	1.05108	−	0.239901i
$765$	0.336917	+	23.7326i	0.0121813	+	0.858056i
$766$	−49.2741	+	28.4484i	−1.78034	+	1.02788i
$767$	−0.334829	+	8.94850i	−0.0120900	+	0.323112i
$768$	−11.8888	+	62.8338i	−0.429000	+	2.26732i
$769$	−6.92761	+	8.68694i	−0.249816	+	0.313259i	−0.890889	−	0.454220i	$-0.849918\pi$
$769$	−6.92761	+	8.68694i	−0.249816	+	0.313259i	0.641074	+	0.767479i	$0.278489\pi$
$770$	60.7405	+	20.5850i	2.18894	+	0.741833i
$771$	2.74883	+	3.44692i	0.0989967	+	0.124138i
$772$	−17.1817	+	9.08079i	−0.618383	+	0.326825i
$773$	3.71055	+	8.50467i	0.133459	+	0.305892i	0.970441	−	0.241339i	$-0.0775867\pi$
$773$	3.71055	+	8.50467i	0.133459	+	0.305892i	−0.836982	+	0.547231i	$0.815682\pi$
$774$	−24.7788	+	1.85691i	−0.890655	+	0.0667453i
$775$	1.75246	+	0.213460i	0.0629502	+	0.00766770i
$776$	17.5303	+	36.4021i	0.629302	+	1.30676i
$777$	51.7256	−	5.60036i	1.85564	−	0.200912i
$778$	−27.3448	−	78.1468i	−0.980357	−	2.80170i
$779$	−36.3500	−	2.72405i	−1.30237	−	0.0975994i
$780$	−13.7561	+	0.710383i	−0.492549	+	0.0254358i
$781$	43.8217	+	29.8771i	1.56806	+	1.06909i
$782$	60.0018	+	44.2833i	2.14566	+	1.58357i
$783$	1.87956	−	1.87956i	0.0671698	−	0.0671698i
$784$	−13.1657	−	7.75470i	−0.470204	−	0.276954i
$785$	−12.1585	−	20.3852i	−0.433954	−	0.727580i
$786$	95.3355	−	14.3695i	3.40050	−	0.512544i
$787$	−5.16268	−	27.2854i	−0.184030	−	0.972620i	−0.945794	−	0.324766i	$-0.894714\pi$
$787$	−5.16268	−	27.2854i	−0.184030	−	0.972620i	0.761765	−	0.647854i	$-0.224333\pi$
$788$	9.41034	+	4.97351i	0.335229	+	0.177174i
$789$	−4.66771	+	62.2862i	−0.166175	+	2.21745i
$790$	4.35073	+	48.7581i	0.154792	+	1.73474i
$791$	5.59075	+	2.72238i	0.198784	+	0.0967967i
$792$	14.9575	−	42.7461i	0.531492	−	1.51892i
$793$	−0.317144	+	0.726901i	−0.0112621	+	0.0258130i
$794$	5.49676	+	73.3492i	0.195073	+	2.60306i
$795$	9.17493	−	12.8082i	0.325401	−	0.454261i
$796$	12.8131	−	41.5389i	0.454147	−	1.47231i
$797$	−4.04706	+	35.9187i	−0.143354	+	1.27230i	0.691720	+	0.722166i	$0.256853\pi$
$797$	−4.04706	+	35.9187i	−0.143354	+	1.27230i	−0.835074	+	0.550138i	$0.814575\pi$
$798$	2.96521	+	89.6842i	0.104967	+	3.17479i
$799$	8.67966	+	6.92180i	0.307064	+	0.244876i
$800$	−8.84580	+	10.8896i	−0.312746	+	0.385004i
$801$	21.2533	+	22.9056i	0.750949	+	0.809331i
$802$	35.2186	+	9.43680i	1.24361	+	0.333225i
$803$	−1.45341	−	5.42419i	−0.0512896	−	0.191416i
$804$	−14.0761	−	61.6713i	−0.496425	−	2.17498i
$805$	28.6082	+	32.5888i	1.00831	+	1.14860i
$806$	0.133816	−	0.586286i	0.00471346	−	0.0206510i
$807$	−6.93458	+	0.259474i	−0.244109	+	0.00913391i
$808$	−33.8667	+	24.9948i	−1.19143	+	0.879314i
$809$	−0.704715	+	4.67548i	−0.0247764	+	0.164381i	−0.997797	−	0.0663360i	$-0.978869\pi$
$809$	−0.704715	+	4.67548i	−0.0247764	+	0.164381i	0.973021	+	0.230717i	$0.0741072\pi$
$810$	−53.5614	−	11.4276i	−1.88195	−	0.401526i
$811$	42.9534	+	9.80382i	1.50830	+	0.344259i	0.895170	−	0.445726i	$-0.147054\pi$
$811$	42.9534	+	9.80382i	1.50830	+	0.344259i	0.613127	+	0.789984i	$0.289911\pi$
$812$	0.898127	−	21.5000i	0.0315181	−	0.754502i
$813$	26.9058	−	42.8204i	0.943628	−	1.50178i
$814$	−78.8174	−	45.5052i	−2.76255	−	1.59496i
$815$	−12.5169	+	22.4086i	−0.438447	+	0.784938i
$816$	−15.9997	+	14.8456i	−0.560103	+	0.519700i
$817$	−25.0302	−	4.73596i	−0.875695	−	0.165690i
$818$	0.575614	+	5.10872i	0.0201259	+	0.178622i
$819$	4.48646	+	1.40529i	0.156770	+	0.0491048i
$820$	−20.3840	−	44.9681i	−0.711841	−	1.57035i
$821$	−12.0079	−	3.70394i	−0.419078	−	0.129269i	0.0780422	−	0.996950i	$-0.475133\pi$
$821$	−12.0079	−	3.70394i	−0.419078	−	0.129269i	−0.497121	+	0.867682i	$0.665609\pi$
$822$	−82.0032	+	35.7776i	−2.86019	+	1.24789i
$823$	9.31866	−	10.8285i	0.324828	−	0.377457i	−0.571686	−	0.820473i	$-0.693710\pi$
$823$	9.31866	−	10.8285i	0.324828	−	0.377457i	0.896514	+	0.443015i	$0.146091\pi$
$824$	2.36336	+	6.02174i	0.0823315	+	0.209777i
$825$	39.3757	−	35.8806i	1.37088	−	1.24920i
$826$	33.9724	+	71.3363i	1.18205	+	2.48211i
$827$	−18.3338	+	6.41528i	−0.637529	+	0.223081i	−0.629639	−	0.776888i	$-0.716797\pi$
$827$	−18.3338	+	6.41528i	−0.637529	+	0.223081i	−0.00789020	+	0.999969i	$0.502512\pi$
$828$	50.8397	−	43.7511i	1.76680	−	1.52045i
$829$	24.9525	−	7.69681i	0.866635	−	0.267321i	0.170609	−	0.985339i	$-0.445426\pi$
$829$	24.9525	−	7.69681i	0.866635	−	0.267321i	0.696025	+	0.718017i	$0.254950\pi$
$830$	−14.0633	+	12.4542i	−0.488144	+	0.432293i
$831$	−3.59256	−	23.8351i	−0.124625	−	0.826831i
$832$	5.58533	+	5.58533i	0.193636	+	0.193636i
$833$	11.7109	+	27.4915i	0.405757	+	0.952525i
$834$		−	101.591i		−	3.51781i
$835$	7.24774	+	8.82833i	0.250818	+	0.305517i
$836$	57.2884	−	84.0266i	1.98136	−	2.90612i
$837$	0.198427	−	0.375443i	0.00685866	−	0.0129772i
$838$	−35.9343	−	41.7564i	−1.24133	−	1.44245i
$839$	4.87285	+	2.34664i	0.168230	+	0.0810151i	0.516103	−	0.856526i	$-0.327382\pi$
$839$	4.87285	+	2.34664i	0.168230	+	0.0810151i	−0.347874	+	0.937541i	$0.613096\pi$
$840$	−47.7775	+	28.2152i	−1.64848	+	0.973517i
$841$	−21.7273	+	10.4633i	−0.749217	+	0.360804i
$842$	−9.99178	−	4.35937i	−0.344340	−	0.150234i
$843$	43.0192	+	37.0210i	1.48166	+	1.27507i
$844$	21.3972	+	8.39777i	0.736521	+	0.289063i
$845$	14.5209	−	23.8549i	0.499533	−	0.820634i
$846$	12.0494	−	9.60905i	0.414266	−	0.330366i
$847$	6.52741	+	24.7914i	0.224284	+	0.851843i
$848$	6.52488	−	0.735177i	0.224065	−	0.0252461i
$849$	20.0723	+	29.4407i	0.688881	+	1.01040i
$850$	−49.2528	+	12.7228i	−1.68936	+	0.436388i
$851$	−30.7685	−	53.2925i	−1.05473	−	1.82684i
$852$	−97.0861	+	26.0142i	−3.32612	+	0.891230i
$853$	26.9817	+	16.9538i	0.923837	+	0.580485i	0.907808	−	0.419386i	$-0.137755\pi$
$853$	26.9817	+	16.9538i	0.923837	+	0.580485i	0.0160294	+	0.999872i	$0.494897\pi$
$854$	0.492585	+	6.98035i	0.0168559	+	0.238863i
$855$	30.0863	+	15.3587i	1.02893	+	0.525258i
$856$	−28.5659	−	26.5053i	−0.976363	−	0.905933i
$857$	−5.29462	−	7.17396i	−0.180861	−	0.245058i	0.704783	−	0.709423i	$-0.251044\pi$
$857$	−5.29462	−	7.17396i	−0.180861	−	0.245058i	−0.885644	+	0.464365i	$0.846282\pi$
$858$	−10.7756	−	14.6004i	−0.367873	−	0.498450i
$859$	−9.39036	−	8.71298i	−0.320395	−	0.297283i	0.503535	−	0.863975i	$-0.332033\pi$
$859$	−9.39036	−	8.71298i	−0.320395	−	0.297283i	−0.823930	+	0.566692i	$0.808223\pi$
$860$	−10.6372	−	32.8232i	−0.362724	−	1.11926i
$861$	2.61738	+	37.0904i	0.0891999	+	1.26404i
$862$	51.3948	+	32.2935i	1.75051	+	1.09992i
$863$	−34.8294	+	9.33251i	−1.18561	+	0.317682i	−0.797148	−	0.603784i	$-0.793659\pi$
$863$	−34.8294	+	9.33251i	−1.18561	+	0.317682i	−0.388458	+	0.921466i	$0.626992\pi$
$864$	1.68735	+	2.92258i	0.0574049	+	0.0994283i
$865$	6.24581	−	21.3182i	0.212364	−	0.724841i
$866$	−8.12175	−	11.9124i	−0.275988	−	0.404800i
$867$	2.84672	−	0.320749i	0.0966798	−	0.0108932i
$868$	−0.875320	−	3.32451i	−0.0297103	−	0.112841i
$869$	−32.6660	+	26.0503i	−1.10812	+	0.883695i
$870$	−23.5655	−	14.3447i	−0.798946	−	0.486331i
$871$	−4.88179	−	1.91596i	−0.165413	−	0.0649198i
$872$	−11.7642	−	10.1239i	−0.398386	−	0.342839i
$873$	−22.9967	−	10.0334i	−0.778321	−	0.339578i
$874$	95.6231	−	46.0496i	3.23450	−	1.55765i
$875$	−29.5588	+	1.13079i	−0.999269	+	0.0382277i
$876$	9.58807	+	4.61737i	0.323951	+	0.156006i
$877$	−14.9971	−	17.4270i	−0.506417	−	0.588467i	0.445324	−	0.895369i	$-0.353088\pi$
$877$	−14.9971	−	17.4270i	−0.506417	−	0.588467i	−0.951741	+	0.306903i	$0.900707\pi$
$878$	−30.7624	+	58.2054i	−1.03818	+	1.96434i
$879$	9.60078	−	14.0818i	0.323826	−	0.474966i
$880$	22.0949	+	2.17235i	0.744817	+	0.0732299i
$881$			14.4563i			0.487045i	0.969895	+	0.243523i	$0.0783030\pi$
$881$			14.4563i			0.487045i	−0.969895	+	0.243523i	$0.921697\pi$
$882$	40.8253	−	7.35734i	1.37466	−	0.247734i
$883$	6.01601	+	6.01601i	0.202455	+	0.202455i	0.801051	−	0.598596i	$-0.204275\pi$
$883$	6.01601	+	6.01601i	0.202455	+	0.202455i	−0.598596	+	0.801051i	$0.704275\pi$
$884$	1.67325	+	11.1013i	0.0562775	+	0.373377i
$885$	65.5098	+	3.97505i	2.20209	+	0.133620i
$886$	87.8696	−	27.1042i	2.95204	−	0.910583i
$887$	24.7914	−	21.3347i	0.832412	−	0.716349i	−0.128945	−	0.991652i	$-0.541159\pi$
$887$	24.7914	−	21.3347i	0.832412	−	0.716349i	0.961358	+	0.275303i	$0.0887782\pi$
$888$	74.3211	−	26.0061i	2.49405	−	0.872707i
$889$	8.54265	+	17.9381i	0.286511	+	0.601626i
$890$	−36.9358	+	55.8625i	−1.23809	+	1.87251i
$891$	−17.0777	−	43.5134i	−0.572126	−	1.45775i
$892$	40.3152	−	46.8471i	1.34985	−	1.56856i
$893$	14.4817	−	6.31829i	0.484611	−	0.211434i
$894$	66.9695	+	20.6574i	2.23980	+	0.690885i
$895$	−28.0042	+	12.6943i	−0.936077	+	0.424323i
$896$	52.3406	+	16.3946i	1.74858	+	0.547704i
$897$	−1.37376	−	12.1925i	−0.0458685	−	0.407094i
$898$	26.3047	+	4.97711i	0.877798	+	0.166088i
$899$	0.572033	−	0.530769i	0.0190784	−	0.0177021i
$900$	1.29880	+	45.7348i	0.0432932	+	1.52449i
$901$	−11.1207	−	6.42056i	−0.370486	−	0.213900i
$902$	34.6046	−	55.0729i	1.15221	−	1.83373i
$903$	−1.08453	+	25.9623i	−0.0360910	+	0.863972i
$904$	9.17499	+	2.09413i	0.305155	+	0.0696497i
$905$	−19.7661	+	12.8148i	−0.657046	+	0.425977i
$906$	−16.7468	+	111.107i	−0.556374	+	3.69130i
$907$	17.3423	−	12.7992i	0.575843	−	0.424992i	−0.266576	−	0.963814i	$-0.585892\pi$
$907$	17.3423	−	12.7992i	0.575843	−	0.424992i	0.842420	+	0.538822i	$0.181131\pi$
$908$	−0.963996	+	0.0360702i	−0.0319913	+	0.00119703i
$909$	5.81639	−	25.4832i	0.192917	−	0.845226i
$910$	−0.654023	+	10.0549i	−0.0216806	+	0.333317i
$911$	−9.85830	−	43.1920i	−0.326620	−	1.43102i	−0.825528	−	0.564361i	$-0.809123\pi$
$911$	−9.85830	−	43.1920i	−0.326620	−	1.43102i	0.498908	−	0.866655i	$-0.333734\pi$
$912$	8.03974	+	30.0047i	0.266222	+	0.993556i
$913$	−15.4872	−	4.14980i	−0.512553	−	0.137338i
$914$	−49.8102	−	53.6827i	−1.64758	−	1.77566i
$915$	5.27216	+	2.44736i	0.174292	+	0.0809073i
$916$	−46.1796	−	36.8270i	−1.52582	−	1.21680i
$917$	−1.50993	−	45.6686i	−0.0498623	−	1.50811i
$918$	−1.37002	+	12.1593i	−0.0452174	+	0.401316i
$919$	6.92086	−	22.4369i	0.228298	−	0.740124i	−0.766858	−	0.641817i	$-0.778181\pi$
$919$	6.92086	−	22.4369i	0.228298	−	0.740124i	0.995156	−	0.0983075i	$-0.0313429\pi$
$920$	53.3521	+	38.2178i	1.75897	+	1.26000i
$921$	2.30446	+	30.7508i	0.0759344	+	1.01327i
$922$	22.6461	−	51.9055i	0.745811	−	1.70942i
$923$	−2.75215	+	7.86519i	−0.0905881	+	0.258886i
$924$	−93.2667	−	45.4156i	−3.06825	−	1.49406i
$925$	41.4498	+	6.62999i	1.36286	+	0.217993i
$926$	1.05506	−	14.0789i	0.0346716	−	0.462660i
$927$	−3.55163	−	1.87709i	−0.116651	−	0.0616518i
$928$	1.15291	+	6.09326i	0.0378460	+	0.200021i
$929$	−9.70170	+	1.46230i	−0.318303	+	0.0479764i	−0.306250	−	0.951951i	$-0.599074\pi$
$929$	−9.70170	+	1.46230i	−0.318303	+	0.0479764i	−0.0120521	+	0.999927i	$0.503836\pi$
$930$	−4.27303	−	1.08018i	−0.140118	−	0.0354206i
$931$	42.3799	+	3.54689i	1.38895	+	0.116245i
$932$	11.1232	−	11.1232i	0.364353	−	0.364353i
$933$	5.14560	+	3.79763i	0.168460	+	0.124329i
$934$	−35.9188	−	24.4890i	−1.17530	−	0.801305i
$935$	−32.2438	−	29.0771i	−1.05448	−	0.950922i
$936$	7.09528	+	0.531718i	0.231916	+	0.0173797i
$937$	11.9472	+	34.1432i	0.390299	+	1.11541i	0.956649	+	0.291245i	$0.0940695\pi$
$937$	11.9472	+	34.1432i	0.390299	+	1.11541i	−0.566350	+	0.824165i	$0.691645\pi$
$938$	−46.0045	+	4.98093i	−1.50210	+	0.162633i
$939$	−2.07393	−	4.30657i	−0.0676803	−	0.140540i
$940$	16.9192	+	13.1041i	0.551844	+	0.427408i
$941$	−18.2113	+	1.36475i	−0.593672	+	0.0444896i	−0.368179	−	0.929755i	$-0.620019\pi$
$941$	−18.2113	+	1.36475i	−0.593672	+	0.0444896i	−0.225494	+	0.974245i	$0.572399\pi$
$942$	23.6966	+	54.3133i	0.772078	+	1.76962i
$943$	38.8820	−	20.5498i	1.26617	−	0.669192i
$944$	17.0537	+	21.3847i	0.555051	+	0.696011i
$945$	−2.28380	+	6.73883i	−0.0742919	+	0.219214i
$946$	28.3405	−	35.5378i	0.921428	−	1.15543i
$947$	−8.58571	+	45.3765i	−0.278998	+	1.47454i	0.510016	+	0.860165i	$0.329639\pi$
$947$	−8.58571	+	45.3765i	−0.278998	+	1.47454i	−0.789014	+	0.614375i	$0.789408\pi$
$948$	2.96062	−	79.1242i	0.0961564	−	2.56983i
$949$	0.764063	−	0.441132i	0.0248025	−	0.0143198i
$950$	−16.7452	+	70.4346i	−0.543287	+	2.28520i
$951$	−61.9088	+	14.1303i	−2.00753	+	0.458206i
$952$	26.6962	+	36.5034i	0.865230	+	1.18308i
$953$	−42.7175	+	26.8412i	−1.38375	+	0.869471i	−0.998575	−	0.0533705i	$-0.983004\pi$
$953$	−42.7175	+	26.8412i	−1.38375	+	0.869471i	−0.385180	+	0.922841i	$0.625861\pi$
$954$	−12.1251	+	13.0677i	−0.392563	+	0.423083i
$955$	−16.6969	−	7.00436i	−0.540299	−	0.226656i
$956$	−11.7590	−	1.77238i	−0.380312	−	0.0573229i
$957$	−0.880451	−	23.5306i	−0.0284610	−	0.760635i
$958$	14.1138	+	22.4620i	0.455997	+	0.725715i
$959$	12.3220	+	40.5727i	0.397899	+	1.31016i
$960$	41.8742	−	39.9746i	1.35148	−	1.29017i
$961$	−15.4377	+	26.7388i	−0.497989	+	0.862543i
$962$	3.70080	−	13.8116i	0.119318	−	0.445303i
$963$	24.1823	+	0.904838i	0.779264	+	0.0291580i
$964$	−58.0925	+	39.6068i	−1.87103	+	1.27565i
$965$	11.7001	+	1.59400i	0.376641	+	0.0513128i
$966$	−60.5961	−	89.7140i	−1.94965	−	2.88650i
$967$	51.4035	+	5.79179i	1.65303	+	0.186251i	0.888672	−	0.458544i	$-0.151629\pi$
$967$	51.4035	+	5.79179i	1.65303	+	0.186251i	0.764355	+	0.644796i	$0.223058\pi$
$968$	18.1293	+	34.3023i	0.582697	+	1.10252i
$969$	22.1940	−	56.5494i	0.712974	−	1.81663i
$970$	9.24618	−	52.9730i	0.296877	−	1.70086i
$971$	−9.06373	+	3.55725i	−0.290869	+	0.114158i	−0.506289	−	0.862364i	$-0.668983\pi$
$971$	−9.06373	+	3.55725i	−0.290869	+	0.114158i	0.215420	+	0.976521i	$0.430888\pi$
$972$	71.0812	+	24.8724i	2.27993	+	0.797782i
$973$	−47.8213	−	5.59889i	−1.53308	−	0.179492i
$974$	−20.2952	+	42.1434i	−0.650300	+	1.35036i
$975$	7.04631	+	4.51654i	0.225663	+	0.144645i
$976$	0.714019	+	2.31479i	0.0228552	+	0.0740948i
$977$	−35.1476	+	6.65028i	−1.12447	+	0.212761i	−0.714702	−	0.699429i	$-0.753438\pi$
$977$	−35.1476	+	6.65028i	−1.12447	+	0.212761i	−0.409768	+	0.912190i	$0.634390\pi$
$978$	38.0521	−	51.5587i	1.21677	−	1.64867i
$979$	−57.1596			−1.82683
$980$	23.3246	+	52.6687i	0.745077	+	1.68244i
$981$	9.63823			0.307725
$982$	−36.6321	+	49.6347i	−1.16898	+	1.58391i
$983$	19.6365	−	3.71542i	0.626306	−	0.118504i	0.136936	−	0.990580i	$-0.456274\pi$
$983$	19.6365	−	3.71542i	0.626306	−	0.118504i	0.489370	+	0.872076i	$0.337227\pi$
$984$	16.5867	+	53.7727i	0.528764	+	1.71421i
$985$	−2.88849	−	5.78643i	−0.0920350	−	0.184371i
$986$	−9.75599	+	20.2585i	−0.310694	+	0.645163i
$987$	−8.51519	−	13.6836i	−0.271042	−	0.435554i
$988$	15.0812	+	5.27716i	0.479798	+	0.167889i
$989$	28.6097	−	11.2285i	0.909734	−	0.357044i
$990$	−49.3141	+	34.6573i	−1.56730	+	1.10148i
$991$	16.4847	−	42.0023i	0.523654	−	1.33425i	−0.387381	−	0.921920i	$-0.626620\pi$
$991$	16.4847	−	42.0023i	0.523654	−	1.33425i	0.911035	−	0.412329i	$-0.135284\pi$
$992$	0.462934	+	0.875914i	0.0146982	+	0.0278103i
$993$	−11.0293	−	1.24271i	−0.350005	−	0.0394361i
$994$	10.6420	+	72.7505i	0.337543	+	2.30751i
$995$	−21.0271	+	15.9847i	−0.666605	+	0.506750i
$996$	25.1053	−	17.1165i	0.795493	−	0.542358i
$997$	−21.7703	−	0.814586i	−0.689471	−	0.0257982i	−0.309640	−	0.950854i	$-0.600208\pi$
$997$	−21.7703	−	0.814586i	−0.689471	−	0.0257982i	−0.379831	+	0.925056i	$0.624018\pi$
$998$	−16.6633	+	62.1883i	−0.527468	+	1.96854i
$999$	5.04856	−	8.74436i	0.159729	−	0.276659i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	245.2.x.a.103.25	✓	624
5.2	odd	4	inner	245.2.x.a.152.25	yes	624
49.10	odd	42	inner	245.2.x.a.108.25	yes	624
245.157	even	84	inner	245.2.x.a.157.25	yes	624

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
245.2.x.a.103.25	✓	624	1.1	even	1	trivial
245.2.x.a.108.25	yes	624	49.10	odd	42	inner
245.2.x.a.152.25	yes	624	5.2	odd	4	inner
245.2.x.a.157.25	yes	624	245.157	even	84	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:	\( N \)	\(=\)	\( 245 = 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	245.x (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(1.41525 - 1.91759i) q^{2} +(2.30150 - 0.435467i) q^{3} +(-1.08472 - 3.51658i) q^{4} +(-0.708492 + 2.12086i) q^{5} +(2.42214 - 5.02963i) q^{6} +(-2.23408 - 1.41735i) q^{7} +(-3.77942 - 1.32248i) q^{8} +(2.31465 - 0.908433i) q^{9} +(3.06425 + 4.36014i) q^{10} +(-1.66178 + 4.23416i) q^{11} +(-4.02785 - 7.62106i) q^{12} +(-0.710141 - 0.0800136i) q^{13} +(-5.87968 + 2.27814i) q^{14} +(-0.707031 + 5.18968i) q^{15} +(-1.80353 + 1.22963i) q^{16} +(4.26586 + 0.159617i) q^{17} +(1.53380 - 5.72421i) q^{18} +(3.03772 - 5.26149i) q^{19} +(8.22669 + 0.190931i) q^{20} +(-5.75894 - 2.28917i) q^{21} +(5.76755 + 9.17900i) q^{22} +(0.274074 + 7.32477i) q^{23} +(-9.27423 - 1.39787i) q^{24} +(-3.99608 - 3.00522i) q^{25} +(-1.15846 + 1.24852i) q^{26} +(-1.01836 + 0.639878i) q^{27} +(-2.56089 + 9.39376i) q^{28} +(-2.15468 + 0.491792i) q^{29} +(8.95106 + 8.70048i) q^{30} +(-0.305778 + 0.176541i) q^{31} +(0.104917 - 2.80397i) q^{32} +(-1.98076 + 10.4686i) q^{33} +(6.34332 - 7.95427i) q^{34} +(4.58883 - 3.73398i) q^{35} +(-5.70534 - 7.15426i) q^{36} +(-7.42244 + 3.92288i) q^{37} +(-5.79026 - 13.2714i) q^{38} +(-1.66923 + 0.125092i) q^{39} +(5.48248 - 7.07865i) q^{40} +(-2.60325 - 5.40570i) q^{41} +(-12.5400 + 7.80356i) q^{42} +(-1.38486 - 3.95770i) q^{43} +(16.6923 + 1.25092i) q^{44} +(0.286746 + 5.55266i) q^{45} +(14.4338 + 9.84079i) q^{46} +(2.09246 + 1.54431i) q^{47} +(-3.61537 + 3.61537i) q^{48} +(2.98221 + 6.33296i) q^{49} +(-11.4182 + 3.40971i) q^{50} +(9.88738 - 1.49028i) q^{51} +(0.488931 + 2.58406i) q^{52} +(-2.65951 - 1.40559i) q^{53} +(-0.214206 + 2.85838i) q^{54} +(-7.80269 - 6.52428i) q^{55} +(6.56911 + 8.31130i) q^{56} +(4.70011 - 13.4321i) q^{57} +(-2.10635 + 4.82781i) q^{58} +(-0.936410 - 12.4955i) q^{59} +(19.0169 - 3.14303i) q^{60} +(0.327108 - 1.06046i) q^{61} +(-0.0942179 + 0.836207i) q^{62} +(-6.45868 - 1.25117i) q^{63} +(-8.64158 - 6.89143i) q^{64} +(0.672827 - 1.44942i) q^{65} +(17.2712 + 18.6139i) q^{66} +(7.08840 + 1.89933i) q^{67} +(-4.06597 - 15.1744i) q^{68} +(3.82048 + 16.7386i) q^{69} +(-0.665911 - 14.0840i) q^{70} +(2.59465 - 11.3679i) q^{71} +(-9.94942 + 0.372281i) q^{72} +(-0.993331 + 0.733111i) q^{73} +(-2.98212 + 19.7851i) q^{74} +(-10.5056 - 5.17636i) q^{75} +(-21.7975 - 4.97515i) q^{76} +(9.71386 - 7.10410i) q^{77} +(-2.12250 + 3.37794i) q^{78} +(7.95495 + 4.59279i) q^{79} +(-1.33008 - 4.69622i) q^{80} +(-7.53339 + 6.98996i) q^{81} +(-14.0502 - 2.65843i) q^{82} +(0.394670 + 3.50280i) q^{83} +(-1.80321 + 22.7349i) q^{84} +(-3.36085 + 8.93419i) q^{85} +(-9.54916 - 2.94553i) q^{86} +(-4.74484 + 2.07015i) q^{87} +(11.8802 - 13.8050i) q^{88} +(4.59104 + 11.6978i) q^{89} +(11.0536 + 7.30853i) q^{90} +(1.47310 + 1.18528i) q^{91} +(25.4609 - 8.90914i) q^{92} +(-0.626871 + 0.539466i) q^{93} +(5.92271 - 1.82691i) q^{94} +(9.00666 + 10.1703i) q^{95} +(-0.979570 - 6.49902i) q^{96} +(-7.13501 - 7.13501i) q^{97} +(16.3646 + 3.24404i) q^{98} +11.3102i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 624 q - 26 q^{2} - 22 q^{3} - 28 q^{5} - 28 q^{6} - 18 q^{7} - 24 q^{8} - 34 q^{10} - 56 q^{11} - 34 q^{12} - 28 q^{13} + 12 q^{15} - 100 q^{16} - 26 q^{17} - 10 q^{18} - 28 q^{20} - 76 q^{21} - 48 q^{22}+ \cdots + 304 q^{98}+O(q^{100}) \) 624 * q - 26 * q^2 - 22 * q^3 - 28 * q^5 - 28 * q^6 - 18 * q^7 - 24 * q^8 - 34 * q^10 - 56 * q^11 - 34 * q^12 - 28 * q^13 + 12 * q^15 - 100 * q^16 - 26 * q^17 - 10 * q^18 - 28 * q^20 - 76 * q^21 - 48 * q^22 - 34 * q^23 - 24 * q^25 - 60 * q^26 - 28 * q^27 - 46 * q^28 - 10 * q^30 - 60 * q^31 + 54 * q^32 - 28 * q^33 - 20 * q^35 + 116 * q^36 - 20 * q^37 + 12 * q^38 - 46 * q^40 - 114 * q^42 - 24 * q^43 + 60 * q^45 + 108 * q^46 - 94 * q^47 - 296 * q^50 + 52 * q^51 - 52 * q^52 - 106 * q^53 + 14 * q^55 + 96 * q^56 + 72 * q^57 - 142 * q^58 - 26 * q^60 + 80 * q^61 - 56 * q^62 - 24 * q^63 - 20 * q^65 - 240 * q^66 - 8 * q^67 - 30 * q^68 + 180 * q^70 + 48 * q^71 + 138 * q^72 - 4 * q^73 - 106 * q^75 + 56 * q^76 - 8 * q^77 - 204 * q^78 - 18 * q^80 - 284 * q^81 - 162 * q^82 + 182 * q^83 - 36 * q^85 - 76 * q^86 - 74 * q^87 + 288 * q^88 - 112 * q^90 + 44 * q^91 - 8 * q^92 + 368 * q^93 + 26 * q^95 + 136 * q^96 + 304 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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