LMFDB - Embedded newform 490.2.w.a.103.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [490,2,Mod(3,490)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("490.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(490, base_ring=CyclotomicField(84)) chi = DirichletCharacter(H, H._module([63, 2])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 490 = 2 \cdot 5 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	490.w (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:	$3.91266969904$
Analytic rank:	$0$
Dimension:	$672$
Relative dimension:	$28$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			103.5
Character	$\chi$	$=$	490.103
Dual form			490.2.w.a.157.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.593820 + 0.804598i) q^{2} +(-1.25069 + 0.236643i) q^{3} +(-0.294755 - 0.955573i) q^{4} +(-2.23553 + 0.0490946i) q^{5} +(0.552281 - 1.14682i) q^{6} +(-0.631658 - 2.56924i) q^{7} +(0.943883 + 0.330279i) q^{8} +(-1.28440 + 0.504091i) q^{9} +(1.28800 - 1.82785i) q^{10} +(-0.352809 + 0.898942i) q^{11} +(0.594776 + 1.12537i) q^{12} +(2.91140 + 0.328036i) q^{13} +(2.44230 + 1.01744i) q^{14} +(2.78433 - 0.590424i) q^{15} +(-0.826239 + 0.563320i) q^{16} +(7.15960 + 0.267893i) q^{17} +(0.357114 - 1.33277i) q^{18} +(-1.34073 + 2.32221i) q^{19} +(0.705847 + 2.12174i) q^{20} +(1.39800 + 3.06384i) q^{21} +(-0.513782 - 0.817679i) q^{22} +(0.0879612 + 2.35081i) q^{23} +(-1.25866 - 0.189713i) q^{24} +(4.99518 - 0.219505i) q^{25} +(-1.99279 + 2.14771i) q^{26} +(4.72043 - 2.96604i) q^{27} +(-2.26891 + 1.36089i) q^{28} +(-5.21267 + 1.18976i) q^{29} +(-1.17834 + 2.59087i) q^{30} +(4.84687 - 2.79834i) q^{31} +(0.0373912 - 0.999301i) q^{32} +(0.228525 - 1.20778i) q^{33} +(-4.46706 + 5.60152i) q^{34} +(1.53823 + 5.71261i) q^{35} +(0.860279 + 1.07876i) q^{36} +(2.40103 - 1.26898i) q^{37} +(-1.07229 - 2.45772i) q^{38} +(-3.71888 + 0.278691i) q^{39} +(-2.12629 - 0.692009i) q^{40} +(4.46623 + 9.27423i) q^{41} +(-3.29532 - 0.694544i) q^{42} +(-0.908900 - 2.59749i) q^{43} +(0.962997 + 0.0721666i) q^{44} +(2.84657 - 1.18997i) q^{45} +(-1.94369 - 1.32519i) q^{46} +(8.09504 + 5.97441i) q^{47} +(0.900061 - 0.900061i) q^{48} +(-6.20202 + 3.24577i) q^{49} +(-2.78963 + 4.14946i) q^{50} +(-9.01781 + 1.35922i) q^{51} +(-0.544688 - 2.87875i) q^{52} +(3.02345 + 1.59794i) q^{53} +(-0.416615 + 5.55934i) q^{54} +(0.744581 - 2.02693i) q^{55} +(0.252356 - 2.63369i) q^{56} +(1.12730 - 3.22163i) q^{57} +(2.13811 - 4.90060i) q^{58} +(0.0220693 + 0.294494i) q^{59} +(-1.38489 - 2.48660i) q^{60} +(1.27647 - 4.13821i) q^{61} +(-0.626630 + 5.56149i) q^{62} +(2.10643 + 2.98153i) q^{63} +(0.781831 + 0.623490i) q^{64} +(-6.52462 - 0.590400i) q^{65} +(0.836078 + 0.901078i) q^{66} +(-3.77516 - 1.01155i) q^{67} +(-1.85434 - 6.92048i) q^{68} +(-0.666315 - 2.91932i) q^{69} +(-5.50978 - 2.15461i) q^{70} +(2.94849 - 12.9182i) q^{71} +(-1.37882 + 0.0515917i) q^{72} +(6.99989 - 5.16615i) q^{73} +(-0.404760 + 2.68541i) q^{74} +(-6.19546 + 1.45661i) q^{75} +(2.61423 + 0.596681i) q^{76} +(2.53245 + 0.338627i) q^{77} +(1.98411 - 3.15769i) q^{78} +(-1.04052 - 0.600743i) q^{79} +(1.81942 - 1.29988i) q^{80} +(-2.16753 + 2.01118i) q^{81} +(-10.1142 - 1.91370i) q^{82} +(-0.0331522 - 0.294234i) q^{83} +(2.51566 - 2.23897i) q^{84} +(-16.0186 - 0.247386i) q^{85} +(2.62966 + 0.811141i) q^{86} +(6.23787 - 2.72156i) q^{87} +(-0.629912 + 0.731971i) q^{88} +(4.93582 + 12.5763i) q^{89} +(-0.732906 + 2.99697i) q^{90} +(-0.996205 - 7.68730i) q^{91} +(2.22045 - 0.776968i) q^{92} +(-5.39971 + 4.64683i) q^{93} +(-9.61399 + 2.96552i) q^{94} +(2.88323 - 5.25719i) q^{95} +(0.189713 + 1.25866i) q^{96} +(9.18500 + 9.18500i) q^{97} +(1.07135 - 6.91753i) q^{98} -1.33245i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 672 q + 12 q^{5} - 28 q^{6} - 8 q^{7} + 12 q^{10} + 4 q^{11} - 44 q^{15} - 56 q^{16} + 8 q^{17} + 28 q^{21} + 20 q^{22} + 4 q^{23} - 4 q^{25} + 16 q^{26} - 4 q^{28} - 12 q^{30} - 24 q^{31} - 48 q^{33} - 8 q^{35}+ \cdots - 40 q^{98}+O(q^{100}) $ 672 * q + 12 * q^5 - 28 * q^6 - 8 * q^7 + 12 * q^10 + 4 * q^11 - 44 * q^15 - 56 * q^16 + 8 * q^17 + 28 * q^21 + 20 * q^22 + 4 * q^23 - 4 * q^25 + 16 * q^26 - 4 * q^28 - 12 * q^30 - 24 * q^31 - 48 * q^33 - 8 * q^35 + 92 * q^36 - 12 * q^37 - 24 * q^38 - 112 * q^41 + 76 * q^42 + 24 * q^43 - 100 * q^45 - 160 * q^46 + 72 * q^47 + 32 * q^50 - 208 * q^51 + 160 * q^53 - 84 * q^55 - 52 * q^56 - 92 * q^57 + 128 * q^58 - 212 * q^61 + 36 * q^63 - 16 * q^67 + 36 * q^68 - 16 * q^70 - 16 * q^71 + 12 * q^73 + 132 * q^75 - 16 * q^77 + 80 * q^78 + 12 * q^80 - 36 * q^81 + 48 * q^82 - 308 * q^83 - 40 * q^85 - 4 * q^86 + 52 * q^87 - 4 * q^88 + 84 * q^90 - 124 * q^91 - 8 * q^92 - 536 * q^93 - 28 * q^95 - 12 * q^96 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/490\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.593820	+	0.804598i	−0.419894	+	0.568937i
$2$	−0.593820	+	0.804598i	−0.419894	+	0.568937i
$3$	−1.25069	+	0.236643i	−0.722085	+	0.136626i	−0.533948	−	0.845517i	$-0.679292\pi$
$3$	−1.25069	+	0.236643i	−0.722085	+	0.136626i	−0.188136	+	0.982143i	$0.560245\pi$
$4$	−0.294755	−	0.955573i	−0.147378	−	0.477786i
$5$	−2.23553	+	0.0490946i	−0.999759	+	0.0219558i
$5$	−2.23553	+	0.0490946i	−0.999759	+	0.0219558i
$6$	0.552281	−	1.14682i	0.225468	−	0.468189i
$7$	−0.631658	−	2.56924i	−0.238744	−	0.971082i
$7$	−0.631658	−	2.56924i	−0.238744	−	0.971082i
$8$	0.943883	+	0.330279i	0.333713	+	0.116771i
$9$	−1.28440	+	0.504091i	−0.428134	+	0.168030i
$10$	1.28800	−	1.82785i	0.407302	−	0.578018i
$11$	−0.352809	+	0.898942i	−0.106376	+	0.271041i	−0.974144	−	0.225928i	$-0.927459\pi$
$11$	−0.352809	+	0.898942i	−0.106376	+	0.271041i	0.867768	+	0.496969i	$0.165554\pi$
$12$	0.594776	+	1.12537i	0.171697	+	0.324867i
$13$	2.91140	+	0.328036i	0.807477	+	0.0909808i	0.506045	−	0.862507i	$-0.331107\pi$
$13$	2.91140	+	0.328036i	0.807477	+	0.0909808i	0.301432	+	0.953488i	$0.402535\pi$
$14$	2.44230	+	1.01744i	0.652732	+	0.271922i
$15$	2.78433	−	0.590424i	0.718911	−	0.152447i
$16$	−0.826239	+	0.563320i	−0.206560	+	0.140830i
$17$	7.15960	+	0.267893i	1.73646	+	0.0649737i	0.886741	−	0.462267i	$-0.152964\pi$
$17$	7.15960	+	0.267893i	1.73646	+	0.0649737i	0.849716	+	0.527240i	$0.176773\pi$
$18$	0.357114	−	1.33277i	0.0841725	−	0.314136i
$19$	−1.34073	+	2.32221i	−0.307584	+	0.532752i	−0.977833	−	0.209385i	$-0.932854\pi$
$19$	−1.34073	+	2.32221i	−0.307584	+	0.532752i	0.670249	+	0.742136i	$0.266187\pi$
$20$	0.705847	+	2.12174i	0.157832	+	0.474435i
$21$	1.39800	+	3.06384i	0.305069	+	0.668585i
$22$	−0.513782	−	0.817679i	−0.109539	−	0.174330i
$23$	0.0879612	+	2.35081i	0.0183412	+	0.490178i	0.977950	+	0.208840i	$0.0669688\pi$
$23$	0.0879612	+	2.35081i	0.0183412	+	0.490178i	−0.959609	+	0.281338i	$0.909222\pi$
$24$	−1.25866	−	0.189713i	−0.256923	−	0.0387249i
$25$	4.99518	−	0.219505i	0.999036	−	0.0439009i
$26$	−1.99279	+	2.14771i	−0.390817	+	0.421201i
$27$	4.72043	−	2.96604i	0.908446	−	0.570815i
$28$	−2.26891	+	1.36089i	−0.428784	+	0.257185i
$29$	−5.21267	+	1.18976i	−0.967968	+	0.220932i	−0.677149	−	0.735846i	$-0.736785\pi$
$29$	−5.21267	+	1.18976i	−0.967968	+	0.220932i	−0.290819	+	0.956778i	$0.593928\pi$
$30$	−1.17834	+	2.59087i	−0.215134	+	0.473026i
$31$	4.84687	−	2.79834i	0.870523	−	0.502597i	0.00300130	−	0.999995i	$-0.499045\pi$
$31$	4.84687	−	2.79834i	0.870523	−	0.502597i	0.867522	+	0.497399i	$0.165711\pi$
$32$	0.0373912	−	0.999301i	0.00660989	−	0.176653i
$33$	0.228525	−	1.20778i	0.0397811	−	0.210248i
$34$	−4.46706	+	5.60152i	−0.766094	+	0.960652i
$35$	1.53823	+	5.71261i	0.260008	+	0.965607i
$36$	0.860279	+	1.07876i	0.143380	+	0.179793i
$37$	2.40103	−	1.26898i	0.394726	−	0.208619i	−0.258114	−	0.966114i	$-0.583101\pi$
$37$	2.40103	−	1.26898i	0.394726	−	0.208619i	0.652840	+	0.757496i	$0.273577\pi$
$38$	−1.07229	−	2.45772i	−0.173949	−	0.398695i
$39$	−3.71888	+	0.278691i	−0.595497	+	0.0446263i
$40$	−2.12629	−	0.692009i	−0.336197	−	0.109416i
$41$	4.46623	+	9.27423i	0.697509	+	1.44839i	0.884744	+	0.466077i	$0.154333\pi$
$41$	4.46623	+	9.27423i	0.697509	+	1.44839i	−0.187236	+	0.982315i	$0.559953\pi$
$42$	−3.29532	−	0.694544i	−0.508479	−	0.107170i
$43$	−0.908900	−	2.59749i	−0.138606	−	0.396113i	0.853567	−	0.520983i	$-0.174434\pi$
$43$	−0.908900	−	2.59749i	−0.138606	−	0.396113i	−0.992173	+	0.124870i	$0.960149\pi$
$44$	0.962997	+	0.0721666i	0.145177	+	0.0108795i
$45$	2.84657	−	1.18997i	0.424342	−	0.177390i
$46$	−1.94369	−	1.32519i	−0.286582	−	0.195388i
$47$	8.09504	+	5.97441i	1.18078	+	0.871457i	0.993830	−	0.110912i	$-0.0353772\pi$
$47$	8.09504	+	5.97441i	1.18078	+	0.871457i	0.186952	+	0.982369i	$0.440139\pi$
$48$	0.900061	−	0.900061i	0.129913	−	0.129913i
$49$	−6.20202	+	3.24577i	−0.886002	+	0.463681i
$50$	−2.78963	+	4.14946i	−0.394513	+	0.586822i
$51$	−9.01781	+	1.35922i	−1.26275	+	0.190328i
$52$	−0.544688	−	2.87875i	−0.0755346	−	0.399210i
$53$	3.02345	+	1.59794i	0.415303	+	0.219494i	0.661849	−	0.749637i	$-0.269772\pi$
$53$	3.02345	+	1.59794i	0.415303	+	0.219494i	−0.246546	+	0.969131i	$0.579296\pi$
$54$	−0.416615	+	5.55934i	−0.0566941	+	0.756530i
$55$	0.744581	−	2.02693i	0.100399	−	0.273311i
$56$	0.252356	−	2.63369i	0.0337224	−	0.351941i
$57$	1.12730	−	3.22163i	0.149314	−	0.426716i
$58$	2.13811	−	4.90060i	0.280748	−	0.643481i
$59$	0.0220693	+	0.294494i	0.00287318	+	0.0383399i	0.998456	−	0.0555464i	$-0.0176901\pi$
$59$	0.0220693	+	0.294494i	0.00287318	+	0.0383399i	−0.995583	+	0.0938862i	$0.970071\pi$
$60$	−1.38489	−	2.48660i	−0.178788	−	0.321019i
$61$	1.27647	−	4.13821i	0.163435	−	0.529844i	−0.836398	−	0.548123i	$-0.815343\pi$
$61$	1.27647	−	4.13821i	0.163435	−	0.529844i	0.999833	+	0.0182792i	$0.00581879\pi$
$62$	−0.626630	+	5.56149i	−0.0795820	+	0.706310i
$63$	2.10643	+	2.98153i	0.265386	+	0.375637i
$64$	0.781831	+	0.623490i	0.0977289	+	0.0779362i
$65$	−6.52462	−	0.590400i	−0.809280	−	0.0732301i
$66$	0.836078	+	0.901078i	0.102914	+	0.110915i
$67$	−3.77516	−	1.01155i	−0.461209	−	0.123581i	0.0207304	−	0.999785i	$-0.493401\pi$
$67$	−3.77516	−	1.01155i	−0.461209	−	0.123581i	−0.481940	+	0.876204i	$0.660068\pi$
$68$	−1.85434	−	6.92048i	−0.224871	−	0.839231i
$69$	−0.666315	−	2.91932i	−0.0802149	−	0.351444i
$70$	−5.50978	−	2.15461i	−0.658545	−	0.257525i
$71$	2.94849	−	12.9182i	0.349921	−	1.53311i	−0.427436	−	0.904046i	$-0.640583\pi$
$71$	2.94849	−	12.9182i	0.349921	−	1.53311i	0.777357	−	0.629060i	$-0.216560\pi$
$72$	−1.37882	+	0.0515917i	−0.162495	+	0.00608014i
$73$	6.99989	−	5.16615i	0.819275	−	0.604653i	−0.101460	−	0.994840i	$-0.532352\pi$
$73$	6.99989	−	5.16615i	0.819275	−	0.604653i	0.920736	+	0.390187i	$0.127590\pi$
$74$	−0.404760	+	2.68541i	−0.0470524	+	0.312172i
$75$	−6.19546	+	1.45661i	−0.715391	+	0.168194i
$76$	2.61423	+	0.596681i	0.299873	+	0.0684440i
$77$	2.53245	+	0.338627i	0.288600	+	0.0385902i
$78$	1.98411	−	3.15769i	0.224656	−	0.357538i
$79$	−1.04052	−	0.600743i	−0.117067	−	0.0675889i	0.440323	−	0.897839i	$-0.354864\pi$
$79$	−1.04052	−	0.600743i	−0.117067	−	0.0675889i	−0.557390	+	0.830251i	$0.688197\pi$
$80$	1.81942	−	1.29988i	0.203418	−	0.145331i
$81$	−2.16753	+	2.01118i	−0.240837	+	0.223464i
$82$	−10.1142	−	1.91370i	−1.11692	−	0.211333i
$83$	−0.0331522	−	0.294234i	−0.00363893	−	0.0322964i	0.991762	−	0.128098i	$-0.0408872\pi$
$83$	−0.0331522	−	0.294234i	−0.00363893	−	0.0322964i	−0.995400	+	0.0958015i	$0.969459\pi$
$84$	2.51566	−	2.23897i	0.274481	−	0.244292i
$85$	−16.0186	−	0.247386i	−1.73747	−	0.0268328i
$86$	2.62966	+	0.811141i	0.283563	+	0.0874676i
$87$	6.23787	−	2.72156i	0.668770	−	0.291781i
$88$	−0.629912	+	0.731971i	−0.0671488	+	0.0780284i
$89$	4.93582	+	12.5763i	0.523196	+	1.33308i	0.911405	+	0.411510i	$0.134998\pi$
$89$	4.93582	+	12.5763i	0.523196	+	1.33308i	−0.388210	+	0.921571i	$0.626906\pi$
$90$	−0.732906	+	2.99697i	−0.0772551	+	0.315908i
$91$	−0.996205	−	7.68730i	−0.104431	−	0.805848i
$92$	2.22045	−	0.776968i	0.231497	−	0.0810045i
$93$	−5.39971	+	4.64683i	−0.559924	+	0.481854i
$94$	−9.61399	+	2.96552i	−0.991607	+	0.305870i
$95$	2.88323	−	5.25719i	0.295813	−	0.539377i
$96$	0.189713	+	1.25866i	0.0193625	+	0.128462i
$97$	9.18500	+	9.18500i	0.932596	+	0.932596i	0.997868	−	0.0652717i	$-0.0207914\pi$
$97$	9.18500	+	9.18500i	0.932596	+	0.932596i	−0.0652717	+	0.997868i	$0.520791\pi$
$98$	1.07135	−	6.91753i	0.108222	−	0.698776i
$99$		−	1.33245i		−	0.133916i
$100$	−1.68211	−	4.70856i	−0.168211	−	0.470856i
$101$	−0.582188	+	0.853913i	−0.0579299	+	0.0849675i	−0.854111	−	0.520091i	$-0.825898\pi$
$101$	−0.582188	+	0.853913i	−0.0579299	+	0.0849675i	0.796181	+	0.605059i	$0.206850\pi$
$102$	4.26134	−	8.06284i	0.421935	−	0.798340i
$103$	−10.6909	−	12.4231i	−1.05341	−	1.22408i	−0.973836	−	0.227253i	$-0.927025\pi$
$103$	−10.6909	−	12.4231i	−1.05341	−	1.22408i	−0.0795724	−	0.996829i	$-0.525355\pi$
$104$	2.63968	+	1.27120i	0.258842	+	0.124652i
$105$	−3.27569	−	6.78067i	−0.319674	−	0.661726i
$106$	−3.08109	+	1.48377i	−0.299262	+	0.144117i
$107$	9.17629	+	4.00358i	0.887106	+	0.387040i	0.793501	−	0.608569i	$-0.208256\pi$
$107$	9.17629	+	4.00358i	0.887106	+	0.387040i	0.0936048	+	0.995609i	$0.470161\pi$
$108$	−4.22564	−	3.63646i	−0.406612	−	0.349918i
$109$	4.21055	+	1.65252i	0.403297	+	0.158282i	0.558315	−	0.829629i	$-0.311448\pi$
$109$	4.21055	+	1.65252i	0.403297	+	0.158282i	−0.155018	+	0.987912i	$0.549543\pi$
$110$	1.18872	+	1.80272i	0.113340	+	0.171883i
$111$	−2.70264	+	2.15528i	−0.256523	+	0.204570i
$112$	1.96921	+	1.76698i	0.186073	+	0.166964i
$113$	3.43012	−	0.386481i	0.322678	−	0.0363571i	0.0508603	−	0.998706i	$-0.483804\pi$
$113$	3.43012	−	0.386481i	0.322678	−	0.0363571i	0.271818	+	0.962349i	$0.412375\pi$
$114$	1.92271	+	2.82009i	0.180078	+	0.264126i
$115$	−0.312052	−	5.25099i	−0.0290990	−	0.489657i
$116$	2.67336	+	4.63040i	0.248215	+	0.429922i
$117$	−3.90477	+	1.04628i	−0.360996	+	0.0967286i
$118$	−0.250054	−	0.157120i	−0.0230194	−	0.0144640i
$119$	−3.83413	−	18.5640i	−0.351475	−	1.70176i
$120$	2.82309	+	0.362315i	0.257711	+	0.0330747i
$121$	7.37995	+	6.84759i	0.670904	+	0.622508i
$122$	2.57160	+	3.48440i	0.232822	+	0.315463i
$123$	−7.78054	−	10.5423i	−0.701548	−	0.950564i
$124$	−4.10266	−	3.80671i	−0.368430	−	0.341853i
$125$	−11.1561	+	0.735945i	−0.997831	+	0.0658249i
$126$	−3.64977	−	0.0756591i	−0.325148	−	0.00674025i
$127$	−2.99626	−	1.88267i	−0.265875	−	0.167060i	0.392496	−	0.919754i	$-0.371612\pi$
$127$	−2.99626	−	1.88267i	−0.265875	−	0.167060i	−0.658371	+	0.752693i	$0.728754\pi$
$128$	−0.965926	+	0.258819i	−0.0853766	+	0.0228766i
$129$	1.75143	+	3.03356i	0.154205	+	0.267090i
$130$	4.34949	−	4.89911i	0.381475	−	0.429680i
$131$	−11.0110	−	16.1502i	−0.962039	−	1.41105i	−0.911024	−	0.412354i	$-0.864707\pi$
$131$	−11.0110	−	16.1502i	−0.962039	−	1.41105i	−0.0510155	−	0.998698i	$-0.516246\pi$
$132$	−1.22149	+	0.137628i	−0.106317	+	0.0119790i
$133$	6.81321	+	1.97782i	0.590780	+	0.171498i
$134$	3.05566	−	2.43681i	0.263969	−	0.210508i
$135$	−10.4070	+	6.86242i	−0.895695	+	0.590623i
$136$	6.66934	+	2.61752i	0.571892	+	0.224451i
$137$	−12.0125	−	10.3376i	−1.02630	−	0.883201i	−0.0330783	−	0.999453i	$-0.510531\pi$
$137$	−12.0125	−	10.3376i	−1.02630	−	0.883201i	−0.993220	+	0.116252i	$0.962912\pi$
$138$	2.74455	+	1.19743i	0.233631	+	0.101932i
$139$	12.4632	−	6.00194i	1.05711	−	0.509078i	0.177180	−	0.984179i	$-0.443303\pi$
$139$	12.4632	−	6.00194i	1.05711	−	0.509078i	0.879932	+	0.475101i	$0.157588\pi$
$140$	5.00541	−	3.15371i	0.423034	−	0.266537i
$141$	−11.5382	−	5.55649i	−0.971688	−	0.467940i
$142$	8.64306	+	10.0434i	0.725310	+	0.842825i
$143$	−1.32205	+	2.50145i	−0.110556	+	0.209181i
$144$	0.777258	−	1.14003i	0.0647715	−	0.0950024i
$145$	11.5947	−	2.91565i	0.962884	−	0.242132i
$146$			8.69986i			0.720006i
$147$	6.98870	−	5.52710i	0.576418	−	0.455868i
$148$	−1.92032	−	1.92032i	−0.157849	−	0.157849i
$149$	2.45362	+	16.2787i	0.201008	+	1.33360i	0.830684	+	0.556744i	$0.187950\pi$
$149$	2.45362	+	16.2787i	0.201008	+	1.33360i	−0.629676	+	0.776858i	$0.716812\pi$
$150$	2.50701	−	5.84982i	0.204697	−	0.477636i
$151$	0.160344	−	0.0494597i	0.0130486	−	0.00402497i	−0.288224	−	0.957563i	$-0.593065\pi$
$151$	0.160344	−	0.0494597i	0.0130486	−	0.00402497i	0.301273	+	0.953538i	$0.402589\pi$
$152$	−2.03247	+	1.74908i	−0.164855	+	0.141869i
$153$	−9.33084	+	3.26500i	−0.754354	+	0.263960i
$154$	−1.77628	+	1.83652i	−0.143137	+	0.147991i
$155$	−10.6979	+	6.49373i	−0.859279	+	0.521589i
$156$	1.36247	+	3.47151i	0.109085	+	0.277944i
$157$	−4.23344	+	4.91934i	−0.337865	+	0.392606i	−0.901043	−	0.433729i	$-0.857197\pi$
$157$	−4.23344	+	4.91934i	−0.337865	+	0.392606i	0.563178	+	0.826335i	$0.309578\pi$
$158$	1.10124	−	0.480465i	0.0876097	−	0.0382237i
$159$	−4.15953	−	1.28305i	−0.329873	−	0.101752i
$160$	−0.0345289	+	2.23580i	−0.00272975	+	0.176756i
$161$	5.98425	−	1.71090i	0.471625	−	0.134838i
$162$	−0.331063	−	2.93827i	−0.0260108	−	0.230852i
$163$	−10.4332	−	1.97406i	−0.817190	−	0.154621i	−0.239520	−	0.970891i	$-0.576990\pi$
$163$	−10.4332	−	1.97406i	−0.817190	−	0.154621i	−0.577669	+	0.816271i	$0.696038\pi$
$164$	7.54576	−	7.00144i	0.589225	−	0.546721i
$165$	−0.451579	+	2.71126i	−0.0351554	+	0.211071i
$166$	0.256427	+	0.148048i	0.0199026	+	0.0114908i
$167$	9.38203	−	14.9314i	0.726003	−	1.15543i	−0.256021	−	0.966671i	$-0.582411\pi$
$167$	9.38203	−	14.9314i	0.726003	−	1.15543i	0.982024	−	0.188756i	$-0.0604456\pi$
$168$	0.307626	+	3.35364i	0.0237338	+	0.258739i
$169$	−4.30542	−	0.982684i	−0.331186	−	0.0755911i
$170$	9.71124	−	12.7417i	0.744818	−	0.977241i
$171$	0.551430	−	3.65850i	0.0421689	−	0.279773i
$172$	−2.21419	+	1.63414i	−0.168830	+	0.124602i
$173$	5.64066	−	0.211059i	0.428851	−	0.0160465i	0.177905	−	0.984048i	$-0.443068\pi$
$173$	5.64066	−	0.211059i	0.428851	−	0.0160465i	0.250946	+	0.968001i	$0.419258\pi$
$174$	−1.51442	+	6.63509i	−0.114808	+	0.503005i
$175$	−3.71921	−	12.6952i	−0.281146	−	0.959665i
$176$	−0.214888	−	0.941485i	−0.0161978	−	0.0709671i
$177$	−0.0972917	−	0.363098i	−0.00731289	−	0.0272921i
$178$	−13.0498	−	3.49669i	−0.978125	−	0.262088i
$179$	13.7199	+	14.7865i	1.02547	+	1.10519i	0.994401	+	0.105677i	$0.0337008\pi$
$179$	13.7199	+	14.7865i	1.02547	+	1.10519i	0.0310694	+	0.999517i	$0.490109\pi$
$180$	−1.97614	−	2.36936i	−0.147293	−	0.176601i
$181$	16.1501	+	12.8792i	1.20042	+	0.957306i	0.999750	−	0.0223517i	$-0.00711536\pi$
$181$	16.1501	+	12.8792i	1.20042	+	0.957306i	0.200674	+	0.979658i	$0.435687\pi$
$182$	6.77675	+	3.76333i	0.502326	+	0.278957i
$183$	−0.617186	+	5.47768i	−0.0456237	+	0.404921i
$184$	−0.693399	+	2.24794i	−0.0511181	+	0.165721i
$185$	−5.30526	+	2.95472i	−0.390051	+	0.217235i
$186$	−0.532369	−	7.10398i	−0.0390352	−	0.520889i
$187$	−2.76679	+	6.34155i	−0.202328	+	0.463740i
$188$	3.32293	−	9.49638i	0.242349	−	0.692595i
$189$	−10.6022	−	10.2544i	−0.771195	−	0.745898i
$190$	2.51780	+	5.44167i	0.182661	+	0.394780i
$191$	−1.66744	+	22.2505i	−0.120652	+	1.60999i	0.528231	+	0.849101i	$0.322856\pi$
$191$	−1.66744	+	22.2505i	−0.120652	+	1.60999i	−0.648883	+	0.760888i	$0.724763\pi$
$192$	−1.12537	−	0.594776i	−0.0812167	−	0.0429243i
$193$	2.86244	+	15.1283i	0.206043	+	1.08896i	0.920932	+	0.389724i	$0.127430\pi$
$193$	2.86244	+	15.1283i	0.206043	+	1.08896i	−0.714889	+	0.699238i	$0.753523\pi$
$194$	−12.8445	+	1.93599i	−0.922180	+	0.138996i
$195$	8.29998	−	0.805600i	0.594374	−	0.0576902i
$196$	4.92964	+	4.96977i	0.352117	+	0.354984i
$197$	−4.27781	+	4.27781i	−0.304781	+	0.304781i	−0.842881	−	0.538100i	$-0.819142\pi$
$197$	−4.27781	+	4.27781i	−0.304781	+	0.304781i	0.538100	+	0.842881i	$0.319142\pi$
$198$	1.07209	+	0.791236i	0.0761899	+	0.0562307i
$199$	3.65706	+	2.49334i	0.259242	+	0.176748i	0.685966	−	0.727634i	$-0.259380\pi$
$199$	3.65706	+	2.49334i	0.259242	+	0.176748i	−0.426724	+	0.904382i	$0.640332\pi$
$200$	4.78736	+	1.44262i	0.338518	+	0.102008i
$201$	4.96092	+	0.371770i	0.349916	+	0.0262226i
$202$	−0.341342	−	0.975498i	−0.0240167	−	0.0686358i
$203$	6.34940	+	12.6411i	0.445641	+	0.887231i
$204$	3.95688	+	8.21654i	0.277037	+	0.575273i
$205$	−10.4397	−	20.5135i	−0.729141	−	1.43273i
$206$	16.3441	−	1.22482i	1.13875	−	0.0853372i
$207$	−1.29800	−	2.97505i	−0.0902173	−	0.206780i
$208$	−2.59030	+	1.36901i	−0.179605	+	0.0949241i
$209$	−1.61451	−	2.02453i	−0.111678	−	0.140040i
$210$	7.40088	+	1.39089i	0.510710	+	0.0959806i
$211$	−6.05556	+	7.59344i	−0.416882	+	0.522754i	−0.945287	−	0.326239i	$-0.894219\pi$
$211$	−6.05556	+	7.59344i	−0.416882	+	0.522754i	0.528405	+	0.848992i	$0.322790\pi$
$212$	0.635771	−	3.36013i	0.0436649	−	0.230775i
$213$	−0.630645	+	16.8543i	−0.0432111	+	1.15484i
$214$	−8.67034	+	5.00582i	−0.592692	+	0.342191i
$215$	2.15939	+	5.76214i	0.147270	+	0.392974i
$216$	5.43515	−	1.24054i	0.369815	−	0.0844079i
$217$	−10.2512	−	10.6852i	−0.695896	−	0.725358i
$218$	−3.82992	+	2.40650i	−0.259395	+	0.162989i
$219$	−7.53214	+	8.11772i	−0.508975	+	0.548545i
$220$	−2.15635	−	0.114053i	−0.145381	−	0.00768943i
$221$	20.7566	+	3.12855i	1.39624	+	0.210449i
$222$	−0.129254	−	3.45439i	−0.00867496	−	0.231843i
$223$	−0.939494	−	1.49520i	−0.0629132	−	0.100126i	0.813786	−	0.581164i	$-0.197403\pi$
$223$	−0.939494	−	1.49520i	−0.0629132	−	0.100126i	−0.876699	+	0.481038i	$0.840260\pi$
$224$	−2.59106	+	0.535149i	−0.173123	+	0.0357562i
$225$	−6.30517	+	2.79996i	−0.420345	+	0.186664i
$226$	−1.72591	+	2.98937i	−0.114806	+	0.198850i
$227$	−6.41030	+	23.9236i	−0.425467	+	1.58786i	0.337435	+	0.941349i	$0.390441\pi$
$227$	−6.41030	+	23.9236i	−0.425467	+	1.58786i	−0.762901	+	0.646515i	$0.776226\pi$
$228$	−3.41078	−	0.127623i	−0.225885	−	0.00845201i
$229$	−2.17992	+	1.48624i	−0.144053	+	0.0982136i	−0.633202	−	0.773987i	$-0.718260\pi$
$229$	−2.17992	+	1.48624i	−0.144053	+	0.0982136i	0.489149	+	0.872200i	$0.337307\pi$
$230$	4.41024	+	2.86707i	0.290803	+	0.189049i
$231$	−3.24744	+	0.175770i	−0.213666	+	0.0115648i
$232$	−5.31310	−	0.598643i	−0.348822	−	0.0393028i
$233$	10.5735	+	20.0060i	0.692691	+	1.31064i	0.939826	+	0.341655i	$0.110987\pi$
$233$	10.5735	+	20.0060i	0.692691	+	1.31064i	−0.247134	+	0.968981i	$0.579489\pi$
$234$	1.47690	−	3.76307i	0.0965477	−	0.246000i
$235$	−18.3900	−	12.9585i	−1.19963	−	0.845322i
$236$	0.274906	−	0.107892i	0.0178948	−	0.00702320i
$237$	1.44352	+	0.505111i	0.0937670	+	0.0328105i
$238$	17.2133	+	7.93872i	1.11577	+	0.514591i
$239$	7.43811	−	15.4454i	0.481132	−	0.999080i	−0.509237	−	0.860626i	$-0.670072\pi$
$239$	7.43811	−	15.4454i	0.481132	−	0.999080i	0.990369	−	0.138454i	$-0.0442133\pi$
$240$	−1.96792	+	2.05630i	−0.127029	+	0.132734i
$241$	−1.57178	−	5.09559i	−0.101247	−	0.328236i	0.890750	−	0.454493i	$-0.150180\pi$
$241$	−1.57178	−	5.09559i	−0.101247	−	0.328236i	−0.991998	+	0.126257i	$0.959703\pi$
$242$	−9.89192	+	1.87165i	−0.635877	+	0.120314i
$243$	−7.69654	+	10.4284i	−0.493733	+	0.668985i
$244$	−4.33061			−0.277239
$245$	13.7054	−	7.56049i	0.875608	−	0.483022i
$246$	13.1025			0.835387
$247$	−4.66517	+	6.32108i	−0.296838	+	0.402201i
$248$	5.49911	−	1.04049i	0.349194	−	0.0660711i
$249$	0.111092	+	0.360150i	0.00704014	+	0.0228236i
$250$	6.03257	−	9.41319i	0.381533	−	0.595342i
$251$	−8.41444	+	17.4728i	−0.531115	+	1.10287i	0.446948	+	0.894560i	$0.352511\pi$
$251$	−8.41444	+	17.4728i	−0.531115	+	1.10287i	−0.978063	+	0.208311i	$0.933203\pi$
$252$	2.22818	−	2.89167i	0.140362	−	0.182158i
$253$	−2.14428	−	0.750315i	−0.134810	−	0.0471719i
$254$	3.29403	−	1.29281i	0.206686	−	0.0811183i
$255$	20.0929	−	3.48129i	1.25826	−	0.218007i
$256$	0.365341	−	0.930874i	0.0228338	−	0.0581796i
$257$	7.00098	+	13.2465i	0.436709	+	0.826294i	1.00000		3.52262e-5i	$1.12129e-5\pi$
$257$	7.00098	+	13.2465i	0.436709	+	0.826294i	−0.563291	+	0.826259i	$0.690465\pi$
$258$	−3.48083	−	0.392195i	−0.216707	−	0.0244170i
$259$	−4.77694	−	5.36726i	−0.296825	−	0.333505i
$260$	1.35900	+	6.40878i	0.0842814	+	0.397455i
$261$	6.09542	−	4.15579i	0.377297	−	0.257237i
$262$	19.5330	+	0.730874i	1.20675	+	0.0451535i
$263$	6.32714	−	23.6132i	0.390148	−	1.45605i	−0.439741	−	0.898124i	$-0.644930\pi$
$263$	6.32714	−	23.6132i	0.390148	−	1.45605i	0.829889	−	0.557928i	$-0.188403\pi$
$264$	0.614607	−	1.06453i	0.0378265	−	0.0655173i
$265$	−6.83746	−	3.42381i	−0.420022	−	0.210323i
$266$	−5.63717	+	4.30742i	−0.345637	+	0.264105i
$267$	−9.14925	−	14.5609i	−0.559925	−	0.891115i
$268$	0.146137	+	3.90560i	0.00892675	+	0.238572i
$269$	−17.5761	−	2.64917i	−1.07163	−	0.161523i	−0.410552	−	0.911837i	$-0.634664\pi$
$269$	−17.5761	−	2.64917i	−1.07163	−	0.161523i	−0.661081	+	0.750315i	$0.729902\pi$
$270$	0.658421	−	12.4485i	0.0400702	−	0.757593i
$271$	1.60894	−	1.73403i	0.0977363	−	0.105335i	−0.682289	−	0.731082i	$-0.739016\pi$
$271$	1.60894	−	1.73403i	0.0977363	−	0.105335i	0.780026	+	0.625748i	$0.215206\pi$
$272$	−6.06645	+	3.81180i	−0.367832	+	0.231124i
$273$	3.06509	+	9.37867i	0.185507	+	0.567623i
$274$	15.4509	−	3.52656i	0.933422	−	0.213047i
$275$	−1.56502	+	4.56782i	−0.0943743	+	0.275450i
$276$	−2.59322	+	1.49720i	−0.156093	+	0.0901206i
$277$	−0.489049	+	13.0701i	−0.0293841	+	0.785306i	0.904234	+	0.427037i	$0.140443\pi$
$277$	−0.489049	+	13.0701i	−0.0293841	+	0.785306i	−0.933618	+	0.358269i	$0.883367\pi$
$278$	−2.57173	+	13.5919i	−0.154242	+	0.815188i
$279$	−4.81471	+	6.03746i	−0.288249	+	0.361453i
$280$	−0.434848	+	5.90008i	−0.0259872	+	0.352597i
$281$	−9.75095	−	12.2273i	−0.581693	−	0.729420i	0.400708	−	0.916206i	$-0.368764\pi$
$281$	−9.75095	−	12.2273i	−0.581693	−	0.729420i	−0.982401	+	0.186786i	$0.940193\pi$
$282$	11.3223	−	5.98403i	0.674235	−	0.356344i
$283$	8.83661	+	20.2537i	0.525282	+	1.20396i	0.953804	+	0.300428i	$0.0971296\pi$
$283$	8.83661	+	20.2537i	0.525282	+	1.20396i	−0.428522	+	0.903531i	$0.640966\pi$
$284$	−13.2133	+	0.990203i	−0.784068	+	0.0587577i
$285$	−2.36194	+	7.25740i	−0.139909	+	0.429891i
$286$	−1.22760	−	2.54913i	−0.0725893	−	0.150733i
$287$	21.0066	−	17.3330i	1.23998	−	1.02313i
$288$	0.455713	+	1.30235i	0.0268531	+	0.0767419i
$289$	34.2356	+	2.56560i	2.01386	+	0.150918i
$290$	−4.53922	+	11.0604i	−0.266552	+	0.649490i
$291$	−13.6611	−	9.31400i	−0.800830	−	0.545997i
$292$	−6.99989	−	5.16615i	−0.409638	−	0.302326i
$293$	23.4426	−	23.4426i	1.36953	−	1.36953i	0.508422	−	0.861108i	$-0.330229\pi$
$293$	23.4426	−	23.4426i	1.36953	−	1.36953i	0.861108	−	0.508422i	$-0.169771\pi$
$294$	0.297064	+	8.90519i	0.0173251	+	0.519361i
$295$	−0.0637946	−	0.657267i	−0.00371426	−	0.0382675i
$296$	2.68541	−	0.404760i	0.156086	−	0.0235262i
$297$	1.00089	+	5.28983i	0.0580776	+	0.306947i
$298$	−14.5548	−	7.69244i	−0.843137	−	0.445611i
$299$	−0.515061	+	6.87301i	−0.0297867	+	0.397477i
$300$	3.21804	+	5.49087i	0.185793	+	0.317016i
$301$	−6.09946	+	3.97591i	−0.351567	+	0.229168i
$302$	−0.0554206	+	0.158383i	−0.00318910	+	0.00911392i
$303$	0.526063	−	1.20575i	0.0302215	−	0.0692685i
$304$	−0.200386	−	2.67396i	−0.0114929	−	0.153362i
$305$	−2.65042	+	9.31376i	−0.151763	+	0.533304i
$306$	2.91383	−	9.44640i	0.166573	−	0.540015i
$307$	3.22095	−	28.5868i	0.183830	−	1.63153i	−0.475527	−	0.879701i	$-0.657742\pi$
$307$	3.22095	−	28.5868i	0.183830	−	1.63153i	0.659356	−	0.751831i	$-0.270829\pi$
$308$	−0.422871	−	2.51976i	−0.0240953	−	0.143576i
$309$	16.3108	+	13.0075i	0.927891	+	0.739968i
$310$	1.12781	−	12.4636i	0.0640553	−	0.707887i
$311$	9.45489	+	10.1899i	0.536137	+	0.577819i	0.941787	−	0.336210i	$-0.109145\pi$
$311$	9.45489	+	10.1899i	0.536137	+	0.577819i	−0.405650	+	0.914029i	$0.632955\pi$
$312$	−3.60223	−	0.965216i	−0.203936	−	0.0546446i
$313$	−3.18828	−	11.8988i	−0.180212	−	0.672562i	−0.995605	−	0.0936532i	$-0.970146\pi$
$313$	−3.18828	−	11.8988i	−0.180212	−	0.672562i	0.815393	−	0.578909i	$-0.196521\pi$
$314$	−1.44419	−	6.32742i	−0.0815005	−	0.357077i
$315$	−4.85537	−	6.56188i	−0.273569	−	0.369720i
$316$	−0.267356	+	1.17136i	−0.0150399	+	0.0658943i
$317$	−20.1310	+	0.753250i	−1.13067	+	0.0423067i	−0.596168	−	0.802860i	$-0.703311\pi$
$317$	−20.1310	+	0.753250i	−1.13067	+	0.0423067i	−0.534503	+	0.845166i	$0.679501\pi$
$318$	3.50235	−	2.58485i	0.196402	−	0.144951i
$319$	0.769552	−	5.10564i	0.0430866	−	0.285861i
$320$	−1.77842	−	1.35545i	−0.0994165	−	0.0757717i
$321$	−12.4241	−	2.83572i	−0.693445	−	0.158274i
$322$	−2.17698	+	5.83088i	−0.121318	+	0.324942i
$323$	−10.2212	+	16.2669i	−0.568722	+	0.905116i
$324$	2.56072	+	1.47843i	0.142262	+	0.0821350i
$325$	14.6150	+	0.999533i	0.810693	+	0.0554441i
$326$	7.78376	−	7.22227i	0.431103	−	0.400005i
$327$	−5.65713	−	1.07039i	−0.312840	−	0.0591926i
$328$	1.15252	+	10.2289i	0.0636373	+	0.564796i
$329$	10.2364	−	24.5719i	0.564352	−	1.35469i
$330$	−1.91331	−	1.97334i	−0.105325	−	0.108629i
$331$	−22.5656	−	6.96057i	−1.24032	−	0.382587i	−0.395911	−	0.918289i	$-0.629571\pi$
$331$	−22.5656	−	6.96057i	−1.24032	−	0.382587i	−0.844407	+	0.535702i	$0.820047\pi$
$332$	−0.271390	+	0.118406i	−0.0148945	+	0.00649840i
$333$	−2.44420	+	2.84021i	−0.133941	+	0.155643i
$334$	6.44255	+	16.4153i	0.352520	+	0.898207i
$335$	8.48914	+	2.07601i	0.463811	+	0.113425i
$336$	−2.88101	−	1.74394i	−0.157172	−	0.0951399i
$337$	17.7508	−	6.21127i	0.966946	−	0.338349i	0.199811	−	0.979834i	$-0.435967\pi$
$337$	17.7508	−	6.21127i	0.966946	−	0.338349i	0.767135	+	0.641485i	$0.221681\pi$
$338$	3.34731	−	2.88059i	0.182070	−	0.156684i
$339$	−4.19855	+	1.29508i	−0.228034	+	0.0703391i
$340$	4.48518	+	15.3799i	0.243243	+	0.834092i
$341$	0.805529	+	5.34433i	0.0436218	+	0.289412i
$342$	2.61617	+	2.61617i	0.141466	+	0.141466i
$343$	12.2567	+	13.8843i	0.661800	+	0.749680i
$344$		−	2.75192i		−	0.148373i
$345$	1.63289	+	6.49350i	0.0879118	+	0.349599i
$346$	−3.17972	+	4.66379i	−0.170943	+	0.250727i
$347$	−5.19593	+	9.83117i	−0.278932	+	0.527765i	−0.983282	−	0.182088i	$-0.941715\pi$
$347$	−5.19593	+	9.83117i	−0.278932	+	0.527765i	0.704350	+	0.709852i	$0.251238\pi$
$348$	−4.43929	−	5.15855i	−0.237971	−	0.276527i
$349$	−27.0506	−	13.0269i	−1.44798	−	0.697312i	−0.465740	−	0.884922i	$-0.654212\pi$
$349$	−27.0506	−	13.0269i	−1.44798	−	0.697312i	−0.982244	+	0.187609i	$0.939926\pi$
$350$	12.4231	+	4.54619i	0.664040	+	0.243004i
$351$	14.7160	−	7.08686i	0.785483	−	0.378269i
$352$	0.885121	+	0.386174i	0.0471771	+	0.0205832i
$353$	−22.4618	−	19.3300i	−1.19552	−	1.02883i	−0.998830	−	0.0483661i	$-0.984599\pi$
$353$	−22.4618	−	19.3300i	−1.19552	−	1.02883i	−0.196694	−	0.980465i	$-0.563020\pi$
$354$	0.349921	+	0.137334i	0.0185981	+	0.00729922i
$355$	−5.95722	+	29.0237i	−0.316176	+	1.54042i
$356$	10.5627	−	8.42345i	0.559821	−	0.446442i
$357$	9.18833	+	22.3104i	0.486298	+	1.18079i
$358$	−20.0443	+	2.25845i	−1.05937	+	0.119363i
$359$	−0.902445	−	1.32364i	−0.0476292	−	0.0698593i	0.801685	−	0.597746i	$-0.203937\pi$
$359$	−0.902445	−	1.32364i	−0.0476292	−	0.0698593i	−0.849315	+	0.527887i	$0.822985\pi$
$360$	3.07985	−	0.183027i	0.162322	−	0.00964637i
$361$	5.90489	+	10.2276i	0.310784	+	0.538293i
$362$	−19.9528	+	5.34635i	−1.04870	+	0.280998i
$363$	−10.8504	−	6.81778i	−0.569500	−	0.357841i
$364$	−7.05214	+	3.21782i	−0.369633	+	0.168660i
$365$	−15.3948	+	11.8927i	−0.805802	+	0.622495i
$366$	−4.04083	−	3.74934i	−0.211217	−	0.195981i
$367$	6.50501	+	8.81397i	0.339559	+	0.460086i	0.940790	−	0.338989i	$-0.110085\pi$
$367$	6.50501	+	8.81397i	0.339559	+	0.460086i	−0.601232	+	0.799075i	$0.705323\pi$
$368$	−1.39694	−	1.89278i	−0.0728204	−	0.0986681i
$369$	−10.4115	−	9.66046i	−0.542001	−	0.502903i
$370$	0.773013	−	6.02317i	0.0401871	−	0.313130i
$371$	2.19571	−	8.77733i	0.113996	−	0.455696i
$372$	6.03197	+	3.79014i	0.312743	+	0.196510i
$373$	8.30021	−	2.22403i	0.429768	−	0.115156i	−0.0374490	−	0.999299i	$-0.511923\pi$
$373$	8.30021	−	2.22403i	0.429768	−	0.115156i	0.467217	+	0.884142i	$0.345257\pi$
$374$	−3.45942	−	5.99189i	−0.178882	−	0.309833i
$375$	13.7786	−	3.56045i	0.711525	−	0.183861i
$376$	5.66755	+	8.31277i	0.292281	+	0.428698i
$377$	−15.5665	+	1.75392i	−0.801713	+	0.0903314i
$378$	14.5464	−	2.44122i	0.748189	−	0.125563i
$379$	12.9986	−	10.3661i	0.667696	−	0.532469i	−0.229942	−	0.973204i	$-0.573854\pi$
$379$	12.9986	−	10.3661i	0.667696	−	0.532469i	0.897637	+	0.440735i	$0.145282\pi$
$380$	−5.87348	−	1.20555i	−0.301303	−	0.0618435i
$381$	4.19290	+	1.64559i	0.214809	+	0.0843063i
$382$	−16.9125	−	14.5544i	−0.865321	−	0.744669i
$383$	8.98021	+	3.91803i	0.458867	+	0.200202i	0.616594	−	0.787281i	$-0.288512\pi$
$383$	8.98021	+	3.91803i	0.458867	+	0.200202i	−0.157727	+	0.987483i	$0.550417\pi$
$384$	1.14682	−	0.552281i	0.0585236	−	0.0281835i
$385$	−5.67800	−	0.632681i	−0.289378	−	0.0322444i
$386$	−13.8720	−	6.68040i	−0.706066	−	0.340024i
$387$	2.47676	+	2.87805i	0.125901	+	0.146300i
$388$	6.06961	−	11.4843i	0.308138	−	0.583025i
$389$	7.27953	−	10.6771i	0.369087	−	0.541351i	−0.596101	−	0.802910i	$-0.703284\pi$
$389$	7.27953	−	10.6771i	0.369087	−	0.541351i	0.965188	+	0.261559i	$0.0842365\pi$
$390$	−4.28051	+	7.15653i	−0.216752	+	0.362385i
$391$			16.8544i			0.852366i
$392$	−6.92599	+	1.01523i	−0.349815	+	0.0512767i
$393$	17.5932	+	17.5932i	0.887460	+	0.887460i
$394$	−0.901667	−	5.98217i	−0.0454253	−	0.301377i
$395$	2.35560	+	1.29190i	0.118523	+	0.0650023i
$396$	−1.27325	+	0.392747i	−0.0639834	+	0.0197363i
$397$	18.7095	−	16.1008i	0.939003	−	0.808077i	−0.0425840	−	0.999093i	$-0.513559\pi$
$397$	18.7095	−	16.1008i	0.939003	−	0.808077i	0.981587	+	0.191015i	$0.0611781\pi$
$398$	−4.17778	+	1.46187i	−0.209413	+	0.0732768i
$399$	−8.98923	−	0.861333i	−0.450024	−	0.0431206i
$400$	−4.00356	+	2.99525i	−0.200178	+	0.149762i
$401$	−13.6571	−	34.7976i	−0.682001	−	1.73771i	−0.675092	−	0.737734i	$-0.735896\pi$
$401$	−13.6571	−	34.7976i	−0.682001	−	1.73771i	−0.00690900	−	0.999976i	$-0.502199\pi$
$402$	−3.24502	+	3.77078i	−0.161847	+	0.188069i
$403$	15.0291	−	6.55714i	0.748655	−	0.326635i
$404$	0.987579	+	0.304628i	0.0491339	+	0.0151558i
$405$	4.74684	−	4.60246i	0.235873	−	0.228698i
$406$	−13.9414	−	2.39782i	−0.691900	−	0.119002i
$407$	0.293636	+	2.60609i	0.0145550	+	0.129179i
$408$	−8.96068	−	1.69545i	−0.443620	−	0.0839374i
$409$	4.50726	−	4.18213i	0.222870	−	0.206793i	−0.560833	−	0.827929i	$-0.689519\pi$
$409$	4.50726	−	4.18213i	0.222870	−	0.206793i	0.783703	+	0.621136i	$0.213329\pi$
$410$	22.7045	+	3.78159i	1.12129	+	0.186759i
$411$	17.4702	+	10.0864i	0.861742	+	0.497527i
$412$	−8.71995	+	13.8777i	−0.429601	+	0.683706i
$413$	0.742687	−	0.242721i	0.0365452	−	0.0119435i
$414$	3.16450	+	0.722276i	0.155526	+	0.0354979i
$415$	0.0885581	+	0.656142i	0.00434715	+	0.0322087i
$416$	0.436667	−	2.89710i	0.0214094	−	0.142042i
$417$	−14.1672	+	10.4559i	−0.693771	+	0.512026i
$418$	2.58767	−	0.0968236i	0.126567	−	0.00473580i
$419$	−5.17490	+	22.6727i	−0.252811	+	1.10764i	0.675948	+	0.736950i	$0.263735\pi$
$419$	−5.17490	+	22.6727i	−0.252811	+	1.10764i	−0.928758	+	0.370686i	$0.879123\pi$
$420$	−5.51390	+	5.12880i	−0.269051	+	0.250260i
$421$	2.96522	+	12.9915i	0.144516	+	0.633166i	0.994353	+	0.106121i	$0.0338431\pi$
$421$	2.96522	+	12.9915i	0.144516	+	0.633166i	−0.849837	+	0.527045i	$0.823300\pi$
$422$	−2.51375	−	9.38143i	−0.122367	−	0.456681i
$423$	−13.4089	−	3.59291i	−0.651964	−	0.174693i
$424$	2.32602	+	2.50685i	0.112961	+	0.121744i
$425$	35.8223	−	0.233390i	1.73764	−	0.0113211i
$426$	−13.1865	−	10.5159i	−0.638887	−	0.509495i
$427$	−11.4384	−	0.665625i	−0.553541	−	0.0322118i
$428$	1.12095	−	9.94869i	0.0541831	−	0.480888i
$429$	1.06153	−	3.44138i	0.0512509	−	0.166151i
$430$	−5.91849	−	1.68423i	−0.285415	−	0.0812207i
$431$	−1.17213	−	15.6410i	−0.0564596	−	0.753401i	−0.951546	−	0.307508i	$-0.900505\pi$
$431$	−1.17213	−	15.6410i	−0.0564596	−	0.753401i	0.895086	−	0.445893i	$-0.147114\pi$
$432$	−2.22937	+	5.10977i	−0.107261	+	0.245844i
$433$	4.63674	−	13.2511i	0.222828	−	0.636805i	−0.777144	−	0.629322i	$-0.783332\pi$
$433$	4.63674	−	13.2511i	0.222828	−	0.636805i	0.999972	−	0.00748253i	$-0.00238179\pi$
$434$	14.6846	−	1.90300i	0.704885	−	0.0913468i
$435$	−13.8113	+	6.39036i	−0.662203	+	0.306394i
$436$	0.338021	−	4.51057i	0.0161883	−	0.216017i
$437$	−5.57702	−	2.94754i	−0.266785	−	0.141000i
$438$	−2.05876	−	10.8808i	−0.0983714	−	0.519905i
$439$	14.6388	−	2.20644i	0.698670	−	0.105307i	0.209903	−	0.977722i	$-0.432685\pi$
$439$	14.6388	−	2.20644i	0.698670	−	0.105307i	0.488766	+	0.872415i	$0.337447\pi$
$440$	1.37225	−	1.66727i	0.0654195	−	0.0794839i
$441$	6.32972	−	7.29525i	0.301415	−	0.347393i
$442$	−14.8429	+	14.8429i	−0.706005	+	0.706005i
$443$	−14.1489	−	10.4423i	−0.672233	−	0.496130i	0.203407	−	0.979094i	$-0.434798\pi$
$443$	−14.1489	−	10.4423i	−0.672233	−	0.496130i	−0.875640	+	0.482964i	$0.839560\pi$
$444$	2.85615	+	1.94729i	0.135547	+	0.0924141i
$445$	−11.6516	−	27.8723i	−0.552338	−	1.32127i
$446$	1.76092	+	0.131963i	0.0833821	+	0.00624862i
$447$	−6.92094	−	19.7789i	−0.327349	−	0.935511i
$448$	1.10805	−	2.40255i	0.0523503	−	0.113510i
$449$	−15.8837	−	32.9829i	−0.749600	−	1.55656i	−0.828700	−	0.559693i	$-0.810919\pi$
$449$	−15.8837	−	32.9829i	−0.749600	−	1.55656i	0.0791003	−	0.996867i	$-0.474795\pi$
$450$	1.49130	−	6.73579i	0.0703005	−	0.317528i
$451$	−9.91272	+	0.742856i	−0.466772	+	0.0349797i
$452$	−1.38036	−	3.16381i	−0.0649265	−	0.148813i
$453$	−0.188837	+	0.0998030i	−0.00887231	+	0.00468915i
$454$	−15.4423	−	19.3640i	−0.724743	−	0.908799i
$455$	2.60445	+	17.1363i	0.122099	+	0.803361i
$456$	2.12808	−	2.66852i	0.0996563	−	0.124965i
$457$	1.16067	−	6.13430i	0.0542940	−	0.286951i	−0.944888	−	0.327394i	$-0.893829\pi$
$457$	1.16067	−	6.13430i	0.0542940	−	0.286951i	0.999182	+	0.0404436i	$0.0128771\pi$
$458$	0.0986515	−	2.63652i	0.00460968	−	0.123196i
$459$	34.5909	−	19.9711i	1.61457	−	0.932170i
$460$	−4.92573	+	1.84595i	−0.229663	+	0.0860676i
$461$	−4.63426	+	1.05774i	−0.215839	+	0.0492638i	−0.329073	−	0.944305i	$-0.606736\pi$
$461$	−4.63426	+	1.05774i	−0.215839	+	0.0492638i	0.113234	+	0.993568i	$0.463879\pi$
$462$	1.78697	−	2.71726i	0.0831375	−	0.126418i
$463$	10.2228	−	6.42341i	0.475094	−	0.298521i	−0.273119	−	0.961980i	$-0.588055\pi$
$463$	10.2228	−	6.42341i	0.475094	−	0.298521i	0.748212	+	0.663459i	$0.230912\pi$
$464$	3.63669	−	3.91943i	0.168829	−	0.181955i
$465$	11.8431	−	10.6532i	0.549210	−	0.494031i
$466$	−22.3755	−	3.37257i	−1.03653	−	0.156231i
$467$	−0.522789	−	13.9718i	−0.0241918	−	0.646539i	−0.957664	−	0.287889i	$-0.907047\pi$
$467$	−0.522789	−	13.9718i	−0.0241918	−	0.646539i	0.933472	−	0.358650i	$-0.116763\pi$
$468$	2.15075	+	3.42289i	0.0994183	+	0.158223i
$469$	−0.214310	+	10.3383i	−0.00989592	+	0.477376i
$470$	21.3468	−	7.10151i	0.984653	−	0.327568i
$471$	4.13058	−	7.15437i	0.190327	−	0.329656i
$472$	−0.0764344	+	0.285257i	−0.00351818	+	0.0131300i
$473$	2.65566	+	0.0993677i	0.122107	+	0.00456893i
$474$	−1.26361	+	0.861511i	−0.0580393	+	0.0395705i
$475$	−6.18745	+	11.8942i	−0.283900	+	0.545741i
$476$	−16.6091	+	9.13562i	−0.761276	+	0.418730i
$477$	−4.68883	−	0.528305i	−0.214687	−	0.0241894i
$478$	8.01043	+	15.1565i	0.366389	+	0.693241i
$479$	0.239868	−	0.611174i	0.0109598	−	0.0279252i	−0.925289	−	0.379263i	$-0.876178\pi$
$479$	0.239868	−	0.611174i	0.0109598	−	0.0279252i	0.936249	+	0.351337i	$0.114273\pi$
$480$	−0.485902	−	2.80446i	−0.0221783	−	0.128005i
$481$	7.40662	−	2.90688i	0.337713	−	0.132542i
$482$	5.03326	+	1.76121i	0.229259	+	0.0802211i
$483$	−7.07955	+	3.55593i	−0.322131	+	0.161801i
$484$	4.36809	−	9.07044i	0.198550	−	0.412293i
$485$	−20.9843	−	20.0824i	−0.952847	−	0.911895i
$486$	−3.82034	−	12.3852i	−0.173294	−	0.561806i
$487$	−29.9655	+	5.66979i	−1.35787	+	0.256923i	−0.813325	−	0.581810i	$-0.802345\pi$
$487$	−29.9655	+	5.66979i	−1.35787	+	0.256923i	−0.544544	+	0.838732i	$0.683297\pi$
$488$	2.57160	−	3.48440i	0.116411	−	0.157731i
$489$	13.5158			0.611205
$490$	−2.05541	+	15.5169i	−0.0928541	+	0.700984i
$491$	−29.4619			−1.32960			−0.664798	−	0.747023i	$-0.731483\pi$
$491$	−29.4619			−1.32960			−0.664798	+	0.747023i	$0.731483\pi$
$492$	−7.78054	+	10.5423i	−0.350774	+	0.475282i
$493$	−37.6393	+	7.12175i	−1.69519	+	0.320747i
$494$	−2.31565	−	7.50717i	−0.104186	−	0.337763i
$495$	0.0654161	+	2.97873i	0.00294023	+	0.133884i
$496$	−2.42831	+	5.04244i	−0.109034	+	0.226412i
$497$	−35.0524	+	0.584485i	−1.57231	+	0.0262177i
$498$	−0.355744	−	0.124480i	−0.0159413	−	0.00557809i
$499$	15.3826	−	6.03722i	0.688620	−	0.270263i	0.00487864	−	0.999988i	$-0.498447\pi$
$499$	15.3826	−	6.03722i	0.688620	−	0.270263i	0.683741	+	0.729725i	$0.260352\pi$
$500$	3.99156	+	10.4435i	0.178508	+	0.467049i
$501$	−8.20058	+	20.8947i	−0.366375	+	0.933507i
$502$	−9.06188	−	17.1459i	−0.404452	−	0.765260i
$503$	38.3706	+	4.32333i	1.71086	+	0.192768i	0.912406	−	0.409287i	$-0.134222\pi$
$503$	38.3706	+	4.32333i	1.71086	+	0.192768i	0.798455	+	0.602054i	$0.205651\pi$
$504$	1.00349	+	3.50993i	0.0446991	+	0.156345i
$505$	1.25958	−	1.93753i	0.0560504	−	0.0862190i
$506$	1.87702	−	1.27973i	0.0834436	−	0.0568909i
$507$	5.61728	+	0.210184i	0.249472	+	0.00933459i
$508$	−0.915869	+	3.41807i	−0.0406351	+	0.151652i
$509$	−6.22514	+	10.7823i	−0.275924	+	0.477915i	−0.970368	−	0.241632i	$-0.922317\pi$
$509$	−6.22514	+	10.7823i	−0.275924	+	0.477915i	0.694444	+	0.719547i	$0.255651\pi$
$510$	−9.13050	+	18.2339i	−0.404305	+	0.807412i
$511$	−17.6946	−	14.7212i	−0.782765	−	0.651226i
$512$	0.532032	+	0.846724i	0.0235127	+	0.0374203i
$513$	0.558959	+	14.9385i	0.0246786	+	0.659550i
$514$	−14.8154	−	2.23307i	−0.653480	−	0.0984963i
$515$	24.5098	+	27.2473i	1.08003	+	1.20066i
$516$	2.38255	−	2.56777i	0.104886	−	0.113040i
$517$	−8.22664	+	5.16914i	−0.361807	+	0.227339i
$518$	7.15513	−	0.656332i	0.314378	−	0.0288376i
$519$	−7.00476	+	1.59879i	−0.307475	+	0.0701791i
$520$	−5.96349	−	2.71222i	−0.261516	−	0.118939i
$521$	−20.3920	+	11.7733i	−0.893390	+	0.515799i	−0.875050	−	0.484033i	$-0.839172\pi$
$521$	−20.3920	+	11.7733i	−0.893390	+	0.515799i	−0.0183402	+	0.999832i	$0.505838\pi$
$522$	−0.275846	+	7.37215i	−0.0120735	+	0.322670i
$523$	5.77524	−	30.5229i	0.252534	−	1.33467i	−0.594912	−	0.803791i	$-0.702813\pi$
$523$	5.77524	−	30.5229i	0.252534	−	1.33467i	0.847446	−	0.530882i	$-0.178139\pi$
$524$	−12.1872	+	15.2822i	−0.532399	+	0.667607i
$525$	7.65579	+	14.9976i	0.334126	+	0.654548i
$526$	15.2419	+	19.1128i	0.664580	+	0.833358i
$527$	35.4513	−	18.7366i	1.54428	−	0.816177i
$528$	0.491553	+	1.12665i	0.0213921	+	0.0490312i
$529$	17.4171	−	1.30523i	0.757265	−	0.0567492i
$530$	6.81501	−	3.46828i	0.296025	−	0.150653i
$531$	−0.176798	−	0.367124i	−0.00767236	−	0.0159318i
$532$	−0.118281	−	7.09349i	−0.00512814	−	0.307542i
$533$	9.96072	+	28.4661i	0.431446	+	1.23300i
$534$	17.1487	+	1.28512i	0.742097	+	0.0556125i
$535$	−20.7104	−	8.49960i	−0.895390	−	0.367470i
$536$	−3.22922	−	2.20164i	−0.139481	−	0.0950965i
$537$	−20.6584	−	15.2466i	−0.891474	−	0.657938i
$538$	12.5685	−	12.5685i	0.541868	−	0.541868i
$539$	−0.729629	−	6.72039i	−0.0314274	−	0.289468i
$540$	9.62507	+	7.92195i	0.414197	+	0.340906i
$541$	24.6528	−	3.71581i	1.05991	−	0.159755i	0.404123	−	0.914705i	$-0.367577\pi$
$541$	24.6528	−	3.71581i	1.05991	−	0.159755i	0.655783	+	0.754950i	$0.272339\pi$
$542$	0.439772	+	2.32425i	0.0188898	+	0.0998352i
$543$	−23.2465	−	12.2861i	−0.997601	−	0.527247i
$544$	0.535412	−	7.14457i	0.0229556	−	0.306321i
$545$	−9.49393	−	3.48754i	−0.406675	−	0.149390i
$546$	−9.36616	−	3.10308i	−0.400835	−	0.132800i
$547$	2.76366	−	7.89809i	0.118166	−	0.337698i	−0.869575	−	0.493800i	$-0.835607\pi$
$547$	2.76366	−	7.89809i	0.118166	−	0.337698i	0.987741	+	0.156103i	$0.0498930\pi$
$548$	−6.33758	+	14.5259i	−0.270728	+	0.620515i
$549$	0.446534	+	5.95858i	0.0190576	+	0.254306i
$550$	−2.74592	−	3.97168i	−0.117086	−	0.169353i
$551$	4.22591	−	13.7001i	0.180030	−	0.583642i
$552$	0.335266	−	2.97556i	0.0142698	−	0.126648i
$553$	−0.886204	+	3.05281i	−0.0376852	+	0.129819i
$554$	−10.2258	−	8.15478i	−0.434451	−	0.346463i
$555$	5.93601	−	4.95088i	0.251970	−	0.210153i
$556$	−9.40887	−	10.1404i	−0.399025	−	0.430047i
$557$	19.4412	+	5.20926i	0.823752	+	0.220724i	0.645986	−	0.763349i	$-0.276446\pi$
$557$	19.4412	+	5.20926i	0.823752	+	0.220724i	0.177766	+	0.984073i	$0.443113\pi$
$558$	−1.99865	−	7.45907i	−0.0846097	−	0.315768i
$559$	−1.79410	−	7.86048i	−0.0758825	−	0.332463i
$560$	−4.48897	−	3.85346i	−0.189693	−	0.162839i
$561$	1.95971	−	8.58603i	0.0827389	−	0.362503i
$562$	15.6284	−	0.584772i	0.659243	−	0.0246671i
$563$	−16.7744	+	12.3801i	−0.706958	+	0.521759i	−0.886925	−	0.461914i	$-0.847163\pi$
$563$	−16.7744	+	12.3801i	−0.706958	+	0.521759i	0.179967	+	0.983673i	$0.442401\pi$
$564$	−1.90869	+	12.6634i	−0.0803705	+	0.533223i
$565$	−7.64915	+	1.03239i	−0.321802	+	0.0434330i
$566$	−21.5435	−	4.91716i	−0.905540	−	0.206684i
$567$	6.53634	+	4.29854i	0.274500	+	0.180522i
$568$	7.04963	−	11.2194i	0.295796	−	0.470757i
$569$	−18.0887	−	10.4435i	−0.758319	−	0.437816i	0.0703729	−	0.997521i	$-0.477581\pi$
$569$	−18.0887	−	10.4435i	−0.758319	−	0.437816i	−0.828692	+	0.559705i	$0.810914\pi$
$570$	−4.43672	−	6.21001i	−0.185834	−	0.260109i
$571$	−20.7615	+	19.2639i	−0.868843	+	0.806168i	−0.982288	−	0.187376i	$-0.940002\pi$
$571$	−20.7615	+	19.2639i	−0.868843	+	0.806168i	0.113446	+	0.993544i	$0.463811\pi$
$572$	2.78000	+	0.526003i	0.116237	+	0.0219933i
$573$	−3.17997	−	28.2230i	−0.132845	−	1.17903i
$574$	1.47193	+	27.1946i	0.0614370	+	1.13508i
$575$	0.955396	+	11.7234i	0.0398428	+	0.488901i
$576$	−1.31848	−	0.406698i	−0.0549367	−	0.0169457i
$577$	5.08513	−	2.21862i	0.211697	−	0.0923623i	−0.291368	−	0.956611i	$-0.594110\pi$
$577$	5.08513	−	2.21862i	0.211697	−	0.0923623i	0.503065	+	0.864249i	$0.332206\pi$
$578$	−22.3941	+	26.0224i	−0.931470	+	1.08239i
$579$	−7.16003	−	18.2434i	−0.297560	−	0.758172i
$580$	−6.20370	−	10.2201i	−0.257595	−	0.424368i
$581$	−0.735018	+	0.271032i	−0.0304937	+	0.0112443i
$582$	15.6063	−	5.46087i	0.646901	−	0.226361i
$583$	−2.50316	+	2.15414i	−0.103670	+	0.0892154i
$584$	8.31335	−	2.56433i	0.344009	−	0.106113i
$585$	8.67786	−	2.53069i	0.358785	−	0.104631i
$586$	4.94117	+	32.7825i	0.204118	+	1.35423i
$587$	10.7950	+	10.7950i	0.445557	+	0.445557i	0.893874	−	0.448317i	$-0.147977\pi$
$587$	10.7950	+	10.7950i	0.445557	+	0.445557i	−0.448317	+	0.893874i	$0.647977\pi$
$588$	−7.34150	−	5.04907i	−0.302758	−	0.208220i
$589$			15.0073i			0.618364i
$590$	0.566718	+	0.338969i	0.0233314	+	0.0139551i
$591$	4.33789	−	6.36252i	0.178437	−	0.261719i
$592$	−1.26898	+	2.40103i	−0.0521547	+	0.0986816i
$593$	13.3011	+	15.4562i	0.546210	+	0.634708i	0.961442	−	0.275008i	$-0.0886804\pi$
$593$	13.3011	+	15.4562i	0.546210	+	0.634708i	−0.415232	+	0.909716i	$0.636299\pi$
$594$	−4.85054	−	2.33590i	−0.199020	−	0.0958430i
$595$	9.48271	+	41.3120i	0.388753	+	1.69363i
$596$	14.8323	−	7.14284i	0.607553	−	0.292582i
$597$	−5.16387	−	2.25298i	−0.211343	−	0.0922081i
$598$	−5.22416	−	4.49575i	−0.213632	−	0.183845i
$599$	−3.04541	−	1.19524i	−0.124432	−	0.0488361i	0.302308	−	0.953210i	$-0.402243\pi$
$599$	−3.04541	−	1.19524i	−0.124432	−	0.0488361i	−0.426740	+	0.904374i	$0.640338\pi$
$600$	−6.32888	−	0.671367i	−0.258375	−	0.0274084i
$601$	−25.5583	+	20.3821i	−1.04254	+	0.831402i	−0.985958	−	0.166996i	$-0.946593\pi$
$601$	−25.5583	+	20.3821i	−1.04254	+	0.831402i	−0.0565872	+	0.998398i	$0.518022\pi$
$602$	0.422976	−	7.26859i	0.0172392	−	0.296246i
$603$	5.35874	−	0.603785i	0.218225	−	0.0245880i
$604$	−0.0945247	−	0.138642i	−0.00384616	−	0.00564127i
$605$	−16.8343	−	14.9457i	−0.684410	−	0.607628i
$606$	0.657756	+	1.13927i	0.0267195	+	0.0462796i
$607$	8.47814	−	2.27171i	0.344117	−	0.0922059i	−0.0826214	−	0.996581i	$-0.526329\pi$
$607$	8.47814	−	2.27171i	0.344117	−	0.0922059i	0.426738	+	0.904375i	$0.359663\pi$
$608$	2.27046	+	1.42662i	0.0920791	+	0.0578572i
$609$	−10.9325	−	14.3075i	−0.443009	−	0.579770i
$610$	−5.91996	−	7.66322i	−0.239692	−	0.310275i
$611$	21.6081	+	20.0494i	0.874169	+	0.811110i
$612$	5.87026	+	7.95392i	0.237291	+	0.321518i
$613$	11.4564	+	15.5229i	0.462721	+	0.626964i	0.972378	−	0.233414i	$-0.0749896\pi$
$613$	11.4564	+	15.5229i	0.462721	+	0.626964i	−0.509657	+	0.860378i	$0.670228\pi$
$614$	21.0882	+	19.5670i	0.851049	+	0.789658i
$615$	17.9112	+	23.1856i	0.722249	+	0.934932i
$616$	2.27850	+	1.15604i	0.0918034	+	0.0465782i
$617$	16.0671	+	10.0956i	0.646837	+	0.406435i	0.815110	−	0.579306i	$-0.196676\pi$
$617$	16.0671	+	10.0956i	0.646837	+	0.406435i	−0.168273	+	0.985740i	$0.553819\pi$
$618$	−20.1515	+	5.39957i	−0.810611	+	0.217203i
$619$	20.5472	+	35.5888i	0.825862	+	1.43043i	0.901259	+	0.433281i	$0.142644\pi$
$619$	20.5472	+	35.5888i	0.825862	+	1.43043i	−0.0753969	+	0.997154i	$0.524022\pi$
$620$	9.35850	+	8.30859i	0.375846	+	0.333681i
$621$	7.38782	+	10.8359i	0.296463	+	0.434831i
$622$	−13.8133	+	1.55639i	−0.553863	+	0.0624054i
$623$	29.1937	−	20.6252i	1.16962	−	0.826332i
$624$	2.91569	−	2.32518i	0.116721	−	0.0930819i
$625$	24.9036	−	2.19293i	0.996145	−	0.0877172i
$626$	11.4670	+	4.50048i	0.458315	+	0.179875i
$627$	2.49834	+	2.15000i	0.0997741	+	0.0858626i
$628$	5.94862	+	2.59535i	0.237376	+	0.103566i
$629$	17.5303	−	8.44216i	0.698980	−	0.336611i
$630$	8.16289	−	0.0100458i	0.325217	−	0.000400235i
$631$	0.383207	+	0.184543i	0.0152552	+	0.00734654i	0.441496	−	0.897263i	$-0.354448\pi$
$631$	0.383207	+	0.184543i	0.0152552	+	0.00734654i	−0.426241	+	0.904610i	$0.640162\pi$
$632$	−0.783715	−	0.910693i	−0.0311745	−	0.0362254i
$633$	5.77668	−	10.9300i	0.229603	−	0.434429i
$634$	11.3481	−	16.6447i	0.450693	−	0.661045i
$635$	6.79065	+	4.06167i	0.269479	+	0.161183i
$636$			4.35292i			0.172605i
$637$	−19.1213	+	7.41524i	−0.757613	+	0.293802i
$638$	3.65101	+	3.65101i	0.144545	+	0.144545i
$639$	2.72489	+	18.0784i	0.107795	+	0.715172i
$640$	2.14665	−	0.626019i	0.0848537	−	0.0247456i
$641$	25.2850	−	7.79939i	0.998697	−	0.308057i	0.248040	−	0.968750i	$-0.420213\pi$
$641$	25.2850	−	7.79939i	0.998697	−	0.308057i	0.750657	+	0.660692i	$0.229737\pi$
$642$	9.65929	−	8.31249i	0.381222	−	0.328068i
$643$	25.6171	−	8.96382i	1.01024	−	0.353499i	0.226115	−	0.974101i	$-0.427397\pi$
$643$	25.6171	−	8.96382i	1.01024	−	0.353499i	0.784126	+	0.620602i	$0.213112\pi$
$644$	−3.39878	−	5.21409i	−0.133931	−	0.205464i
$645$	−4.06430	−	6.69563i	−0.160032	−	0.263640i
$646$	−7.01878	−	17.8836i	−0.276150	−	0.703620i
$647$	−25.0701	+	29.1320i	−0.985609	+	1.14530i	0.00377807	+	0.999993i	$0.498797\pi$
$647$	−25.0701	+	29.1320i	−0.985609	+	1.14530i	−0.989387	+	0.145305i	$0.953584\pi$
$648$	−2.71015	+	1.18242i	−0.106465	+	0.0464500i
$649$	−0.272519	−	0.0840611i	−0.0106973	−	0.00329969i
$650$	−9.48289	+	11.1656i	−0.371949	+	0.437952i
$651$	15.3496	+	10.9380i	0.601598	+	0.428693i
$652$	1.18887	+	10.5515i	0.0465598	+	0.413230i
$653$	−31.0497	−	5.87491i	−1.21507	−	0.229903i	−0.461420	−	0.887182i	$-0.652660\pi$
$653$	−31.0497	−	5.87491i	−1.21507	−	0.229903i	−0.753648	+	0.657279i	$0.771707\pi$
$654$	4.22055	−	3.91610i	0.165037	−	0.153132i
$655$	25.4084	+	35.5637i	0.992788	+	1.38959i
$656$	−8.91454	−	5.14681i	−0.348054	−	0.200949i
$657$	−6.38646	+	10.1640i	−0.249160	+	0.396535i
$658$	13.6919	+	22.8275i	0.533766	+	0.889908i
$659$	−24.2529	−	5.53556i	−0.944758	−	0.215635i	−0.277723	−	0.960661i	$-0.589580\pi$
$659$	−24.2529	−	5.53556i	−0.944758	−	0.215635i	−0.667035	+	0.745026i	$0.732437\pi$
$660$	2.72391	−	0.367640i	0.106028	−	0.0143104i
$661$	5.13234	−	34.0508i	0.199625	−	1.32442i	−0.634532	−	0.772897i	$-0.718807\pi$
$661$	5.13234	−	34.0508i	0.199625	−	1.32442i	0.834157	−	0.551527i	$-0.185955\pi$
$662$	19.0004	−	14.0229i	0.738471	−	0.545016i
$663$	−26.7003	+	0.999056i	−1.03696	+	0.0388001i
$664$	0.0658876	−	0.288672i	0.00255693	−	0.0112027i
$665$	−15.3282	−	4.08697i	−0.594403	−	0.158486i
$666$	−0.833814	−	3.65318i	−0.0323096	−	0.141558i
$667$	−3.25541	−	12.1494i	−0.126050	−	0.470425i
$668$	−17.0335	−	4.56410i	−0.659044	−	0.176590i
$669$	1.52884	+	1.64770i	0.0591084	+	0.0637037i
$670$	−6.71138	+	5.59757i	−0.259283	+	0.216253i
$671$	3.26966	+	2.60747i	0.126224	+	0.100660i
$672$	3.11397	−	1.28246i	0.120124	−	0.0494720i
$673$	−5.35194	+	47.4997i	−0.206302	+	1.83098i	0.283296	+	0.959032i	$0.408572\pi$
$673$	−5.35194	+	47.4997i	−0.206302	+	1.83098i	−0.489598	+	0.871948i	$0.662857\pi$
$674$	−5.54320	+	17.9706i	−0.213516	+	0.692202i
$675$	22.9283	−	15.8521i	0.882511	−	0.610146i
$676$	0.330019	+	4.40379i	0.0126930	+	0.169377i
$677$	9.50326	−	21.7817i	0.365240	−	0.837139i	−0.632785	−	0.774327i	$-0.718088\pi$
$677$	9.50326	−	21.7817i	0.365240	−	0.837139i	0.998025	−	0.0628118i	$-0.0200068\pi$
$678$	1.45116	−	4.14719i	0.0557316	−	0.159272i
$679$	17.7967	−	29.4003i	0.682976	−	1.12828i
$680$	−15.0380	−	5.52412i	−0.576682	−	0.211840i
$681$	2.35594	−	31.4379i	0.0902799	−	1.20470i
$682$	−4.77838	−	2.52545i	−0.182974	−	0.0967043i
$683$	0.842008	+	4.45012i	0.0322185	+	0.170279i	0.994980	−	0.100073i	$-0.0319076\pi$
$683$	0.842008	+	4.45012i	0.0322185	+	0.170279i	−0.962762	+	0.270352i	$0.912860\pi$
$684$	−3.65850	+	0.551430i	−0.139886	+	0.0210845i
$685$	27.3618	+	22.5203i	1.04544	+	0.860455i
$686$	−18.4495	+	1.61696i	−0.704407	+	0.0617359i
$687$	2.37469	−	2.37469i	0.0905999	−	0.0905999i
$688$	2.21419	+	1.63414i	0.0844150	+	0.0623011i
$689$	8.27830	+	5.64405i	0.315378	+	0.215021i
$690$	−6.19430	−	2.54216i	−0.235813	−	0.0967782i
$691$	−19.3667	−	1.45134i	−0.736745	−	0.0552114i	−0.298928	−	0.954276i	$-0.596629\pi$
$691$	−19.3667	−	1.45134i	−0.736745	−	0.0552114i	−0.437817	+	0.899064i	$0.644248\pi$
$692$	−1.86430	−	5.32785i	−0.0708699	−	0.202534i
$693$	−3.42339	+	0.841653i	−0.130044	+	0.0319718i
$694$	−4.82469	−	10.0186i	−0.183143	−	0.380300i
$695$	−27.5671	+	14.0294i	−1.04568	+	0.532165i
$696$	6.78670	−	0.508593i	0.257249	−	0.0192782i
$697$	29.4919	+	67.5962i	1.11709	+	2.56039i
$698$	26.5446	−	14.0292i	1.00473	−	0.531014i
$699$	−17.9584	−	22.5191i	−0.679249	−	0.851751i
$700$	−11.0349	+	7.29594i	−0.417080	+	0.275761i
$701$	6.90459	−	8.65808i	0.260783	−	0.327011i	−0.634152	−	0.773208i	$-0.718651\pi$
$701$	6.90459	−	8.65808i	0.260783	−	0.327011i	0.894935	+	0.446197i	$0.147222\pi$
$702$	−3.03660	+	16.0488i	−0.114609	+	0.605723i
$703$	−0.272288	+	7.27705i	−0.0102695	+	0.274459i
$704$	−0.836318	+	0.482848i	−0.0315199	+	0.0181980i
$705$	26.0667	+	11.8552i	0.981728	+	0.446494i
$706$	28.8912	−	6.59422i	1.08733	−	0.248177i
$707$	2.56165	+	0.956402i	0.0963409	+	0.0359692i
$708$	−0.318289	+	0.199994i	−0.0119620	+	0.00751624i
$709$	19.4527	−	20.9650i	0.730562	−	0.787358i	−0.253089	−	0.967443i	$-0.581447\pi$
$709$	19.4527	−	20.9650i	0.730562	−	0.787358i	0.983651	+	0.180085i	$0.0576372\pi$
$710$	−19.8149	−	22.0280i	−0.743640	−	0.826697i
$711$	1.63927	+	0.247081i	0.0614775	+	0.00926625i
$712$	0.505161	+	13.5007i	0.0189317	+	0.505961i
$713$	7.00471	+	11.1479i	0.262329	+	0.417494i
$714$	−23.4071	−	5.85545i	−0.875989	−	0.219135i
$715$	2.83268	−	5.65696i	0.105936	−	0.211558i
$716$	10.0856	−	17.4687i	0.376915	−	0.652836i
$717$	−5.64771	+	21.0775i	−0.210918	+	0.787155i
$718$	1.60089	+	0.0599011i	0.0597447	+	0.00223549i
$719$	−6.44275	+	4.39259i	−0.240274	+	0.163816i	−0.677470	−	0.735550i	$-0.736924\pi$
$719$	−6.44275	+	4.39259i	−0.240274	+	0.163816i	0.437196	+	0.899366i	$0.355971\pi$
$720$	−1.68161	+	2.58673i	−0.0626701	+	0.0964016i
$721$	−25.1649	+	35.3147i	−0.937190	+	1.31519i
$722$	−11.7355	−	1.32228i	−0.436751	−	0.0492100i
$723$	3.17164	+	6.00104i	0.117955	+	0.223181i
$724$	7.54674	−	19.2288i	0.280472	−	0.714632i
$725$	−25.7771	+	7.08726i	−0.957336	+	0.263214i
$726$	11.9288	−	4.68170i	0.442719	−	0.173754i
$727$	−11.4969	−	4.02294i	−0.426397	−	0.149203i	0.108545	−	0.994092i	$-0.465381\pi$
$727$	−11.4969	−	4.02294i	−0.426397	−	0.149203i	−0.534942	+	0.844889i	$0.679667\pi$
$728$	1.59865	−	7.58494i	0.0592500	−	0.281117i
$729$	11.0070	−	22.8562i	0.407665	−	0.846525i
$730$	−0.427116	−	19.4488i	−0.0158083	−	0.719832i
$731$	−5.81151	−	18.8405i	−0.214946	−	0.696839i
$732$	5.41624	−	1.02481i	0.200190	−	0.0378780i
$733$	22.9217	−	31.0578i	0.846633	−	1.14715i	−0.140945	−	0.990017i	$-0.545014\pi$
$733$	22.9217	−	31.0578i	0.846633	−	1.14715i	0.987578	−	0.157130i	$-0.0502241\pi$
$734$	−10.9545			−0.404338
$735$	−15.3521	+	12.6991i	−0.566270	+	0.468413i
$736$	2.35246			0.0867127
$737$	2.24123	−	3.03676i	0.0825569	−	0.111861i
$738$	13.9553	−	2.64049i	0.513703	−	0.0971979i
$739$	−0.726230	−	2.35438i	−0.0267148	−	0.0866073i	0.941234	−	0.337756i	$-0.109668\pi$
$739$	−0.726230	−	2.35438i	−0.0267148	−	0.0866073i	−0.967949	+	0.251149i	$0.919192\pi$
$740$	4.38720	+	4.19865i	0.161277	+	0.154345i
$741$	4.33883	−	9.00967i	0.159391	−	0.330979i
$742$	5.75837	+	6.97882i	0.211396	+	0.256201i
$743$	−50.1864	−	17.5610i	−1.84116	−	0.644250i	−0.993517	−	0.113682i	$-0.963735\pi$
$743$	−50.1864	−	17.5610i	−1.84116	−	0.644250i	−0.847643	−	0.530568i	$-0.821979\pi$
$744$	−6.63145	+	2.60265i	−0.243121	+	0.0954178i
$745$	−6.28433	−	36.2710i	−0.230240	−	1.32887i
$746$	−3.13938	+	7.99900i	−0.114941	+	0.292864i
$747$	0.190902	+	0.361203i	0.00698472	+	0.0132157i
$748$	6.87533	+	0.774664i	0.251387	+	0.0283245i
$749$	4.48988	−	26.1050i	0.164057	−	0.953856i
$750$	−5.31730	+	13.2005i	−0.194160	+	0.482015i
$751$	20.9722	−	14.2986i	0.765286	−	0.521763i	−0.116626	−	0.993176i	$-0.537208\pi$
$751$	20.9722	−	14.2986i	0.765286	−	0.521763i	0.881913	+	0.471412i	$0.156256\pi$
$752$	−10.0539	−	0.376192i	−0.366629	−	0.0137183i
$753$	6.38903	−	23.8442i	0.232829	−	0.868930i
$754$	7.83247	−	13.5662i	0.285242	−	0.494053i
$755$	−0.356026	+	0.118441i	−0.0129571	+	0.00431050i
$756$	−6.67378	+	13.1537i	−0.242723	+	0.478395i
$757$	5.50166	+	8.75584i	0.199961	+	0.318236i	0.931620	−	0.363435i	$-0.118396\pi$
$757$	5.50166	+	8.75584i	0.199961	+	0.318236i	−0.731658	+	0.681672i	$0.761253\pi$
$758$	0.621662	+	16.6143i	0.0225798	+	0.603457i
$759$	2.85938	+	0.430982i	0.103789	+	0.0156436i
$760$	4.45777	−	4.00991i	0.161700	−	0.145455i
$761$	12.3595	−	13.3203i	0.448031	−	0.482862i	−0.468138	−	0.883655i	$-0.655075\pi$
$761$	12.3595	−	13.3203i	0.448031	−	0.482862i	0.916169	+	0.400793i	$0.131265\pi$
$762$	−3.81387	+	2.39641i	−0.138162	+	0.0868129i
$763$	1.58609	−	11.8617i	0.0574204	−	0.429424i
$764$	21.7535	−	4.96508i	0.787012	−	0.179630i
$765$	20.6991	−	7.75710i	0.748377	−	0.280459i
$766$	−8.48506	+	4.89885i	−0.306578	+	0.177003i
$767$	−0.0323522	+	0.864630i	−0.00116817	+	0.0312200i
$768$	−0.236643	+	1.25069i	−0.00853911	+	0.0451303i
$769$	−29.1457	+	36.5475i	−1.05102	+	1.31794i	−0.104772	+	0.994496i	$0.533411\pi$
$769$	−29.1457	+	36.5475i	−1.05102	+	1.31794i	−0.946248	+	0.323441i	$0.895160\pi$
$770$	3.88076	−	4.19281i	0.139853	−	0.151098i
$771$	−11.8907	−	14.9105i	−0.428234	−	0.536988i
$772$	13.6125	−	7.19442i	0.489925	−	0.258933i
$773$	7.78598	+	17.8456i	0.280042	+	0.641863i	0.998560	−	0.0536451i	$-0.0170840\pi$
$773$	7.78598	+	17.8456i	0.280042	+	0.641863i	−0.718518	+	0.695508i	$0.755179\pi$
$774$	−3.78642	+	0.283753i	−0.136100	+	0.0101993i
$775$	23.5967	−	15.0421i	0.847620	−	0.540329i
$776$	5.63596	+	11.7032i	0.202319	+	0.420120i
$777$	7.24459	+	5.58233i	0.259898	+	0.200265i
$778$	4.26805	+	12.1974i	0.153017	+	0.437297i
$779$	−27.5247	−	2.06269i	−0.986176	−	0.0739037i
$780$	−3.21627	−	7.69378i	−0.115161	−	0.275482i
$781$	10.5724	+	7.20817i	0.378312	+	0.257928i
$782$	−13.5610	−	10.0085i	−0.484942	−	0.357903i
$783$	−21.0772	+	21.0772i	−0.753236	+	0.753236i
$784$	3.29594	−	6.17550i	0.117712	−	0.220553i
$785$	9.22246	−	11.2052i	0.329164	−	0.399930i
$786$	−24.6027	+	3.70825i	−0.877548	+	0.132269i
$787$	−3.58850	−	18.9657i	−0.127916	−	0.676054i	−0.986549	−	0.163463i	$-0.947733\pi$
$787$	−3.58850	−	18.9657i	−0.127916	−	0.676054i	0.858633	−	0.512591i	$-0.171314\pi$
$788$	5.34867	+	2.82685i	0.190538	+	0.100702i
$789$	−2.32538	+	31.0300i	−0.0827856	+	1.10470i
$790$	−2.43826	+	1.12816i	−0.0867494	+	0.0401381i
$791$	−3.15963	−	8.56868i	−0.112343	−	0.304667i
$792$	0.440080	−	1.25768i	0.0156376	−	0.0446896i
$793$	5.07380	−	11.6293i	0.180176	−	0.412967i
$794$	1.84461	+	24.6146i	0.0654628	+	0.873540i
$795$	9.36175	+	2.66408i	0.332027	+	0.0944851i
$796$	1.30463	−	4.22952i	0.0462415	−	0.149911i
$797$	5.27187	−	46.7892i	0.186739	−	1.65736i	−0.455042	−	0.890470i	$-0.650376\pi$
$797$	5.27187	−	46.7892i	0.186739	−	1.65736i	0.641782	−	0.766888i	$-0.278196\pi$
$798$	6.03101	−	6.72124i	0.213495	−	0.237929i
$799$	56.3567	+	44.9430i	1.99376	+	1.58997i
$800$	−0.0325754	−	4.99989i	−0.00115171	−	0.176773i
$801$	−12.6791	−	13.6649i	−0.447996	−	0.482825i
$802$	36.1079	+	9.67509i	1.27501	+	0.341639i
$803$	2.17445	+	8.11516i	0.0767347	+	0.286378i
$804$	−1.10700	−	4.85010i	−0.0390410	−	0.171050i
$805$	−13.2940	+	4.11857i	−0.468551	+	0.145160i
$806$	−3.64874	+	15.9862i	−0.128521	+	0.563089i
$807$	22.6091	−	0.845972i	0.795877	−	0.0297796i
$808$	−0.831547	+	0.613710i	−0.0292537	+	0.0215902i
$809$	−7.13024	+	47.3060i	−0.250686	+	1.66319i	0.409666	+	0.912236i	$0.365645\pi$
$809$	−7.13024	+	47.3060i	−0.250686	+	1.66319i	−0.660352	+	0.750956i	$0.729593\pi$
$810$	0.884355	+	6.55233i	0.0310731	+	0.230225i
$811$	−1.58037	−	0.360708i	−0.0554941	−	0.0126662i	0.194684	−	0.980866i	$-0.437632\pi$
$811$	−1.58037	−	0.360708i	−0.0554941	−	0.0126662i	−0.250178	+	0.968200i	$0.580489\pi$
$812$	10.2080	−	9.79334i	0.358229	−	0.343679i
$813$	−1.60194	+	2.54947i	−0.0561825	+	0.0894139i
$814$	−2.27122	−	1.31129i	−0.0796062	−	0.0459607i
$815$	23.4206	+	3.90086i	0.820387	+	0.136641i
$816$	6.68519	−	6.20295i	0.234029	−	0.217147i
$817$	7.25050	+	1.37187i	0.253663	+	0.0479956i
$818$	0.688428	+	6.10997i	0.0240703	+	0.213630i
$819$	5.15462	+	9.37141i	0.180117	+	0.327463i
$820$	−16.5250	+	16.0224i	−0.577079	+	0.559526i
$821$	−0.676009	−	0.208521i	−0.0235929	−	0.00727744i	0.282936	−	0.959139i	$-0.408692\pi$
$821$	−0.676009	−	0.208521i	−0.0235929	−	0.00727744i	−0.306529	+	0.951861i	$0.599168\pi$
$822$	−18.4897	+	8.06697i	−0.644902	+	0.281368i
$823$	16.4254	−	19.0867i	0.572555	−	0.665321i	−0.394794	−	0.918770i	$-0.629184\pi$
$823$	16.4254	−	19.0867i	0.572555	−	0.665321i	0.967349	+	0.253449i	$0.0815649\pi$
$824$	−5.98790	−	15.2569i	−0.208598	−	0.531500i
$825$	0.876410	−	6.08326i	0.0305127	−	0.211792i
$826$	−0.245730	+	0.741697i	−0.00855003	+	0.0258069i
$827$	38.0901	−	13.3283i	1.32452	−	0.463470i	0.426925	−	0.904287i	$-0.359597\pi$
$827$	38.0901	−	13.3283i	1.32452	−	0.463470i	0.897597	+	0.440817i	$0.145311\pi$
$828$	−2.46028	+	2.11724i	−0.0855007	+	0.0735793i
$829$	12.6785	−	3.91080i	0.440342	−	0.135828i	−0.0666535	−	0.997776i	$-0.521232\pi$
$829$	12.6785	−	3.91080i	0.440342	−	0.135828i	0.506996	+	0.861949i	$0.330756\pi$
$830$	−0.580518	−	0.318376i	−0.0201501	−	0.0110510i
$831$	−2.48130	−	16.4623i	−0.0860753	−	0.571072i
$832$	2.07170	+	2.07170i	0.0718232	+	0.0718232i
$833$	−45.2735	+	21.5769i	−1.56863	+	0.747595i
$834$		−	17.6078i		−	0.609708i
$835$	−20.2408	+	33.8402i	−0.700460	+	1.17109i
$836$	−1.45870	+	2.13953i	−0.0504503	+	0.0739970i
$837$	14.5793	−	27.5854i	0.503934	−	0.953490i
$838$	−15.1695	−	17.6272i	−0.524021	−	0.608923i
$839$	3.20183	+	1.54192i	0.110539	+	0.0532329i	0.488336	−	0.872656i	$-0.337604\pi$
$839$	3.20183	+	1.54192i	0.110539	+	0.0532329i	−0.377797	+	0.925888i	$0.623318\pi$
$840$	−0.852351	−	7.48206i	−0.0294089	−	0.258155i
$841$	−0.371701	+	0.179002i	−0.0128173	+	0.00617248i
$842$	−12.2137	−	5.32880i	−0.420913	−	0.183642i
$843$	15.0889	+	12.9850i	0.519689	+	0.447229i
$844$	9.04099	+	3.54833i	0.311204	+	0.122138i
$845$	9.67313	+	1.98545i	0.332766	+	0.0683014i
$846$	10.8533	−	8.65525i	0.373145	−	0.297574i
$847$	12.9315	−	23.2862i	0.444332	−	0.800124i
$848$	−3.39825	+	0.382890i	−0.116696	+	0.0131485i
$849$	−15.8447	−	23.2400i	−0.543790	−	0.797594i
$850$	−21.0842	+	28.9611i	−0.723182	+	0.993358i
$851$	3.19433	+	5.53274i	0.109500	+	0.189660i
$852$	16.2914	−	4.36528i	0.558135	−	0.149552i
$853$	2.70610	+	1.70035i	0.0926551	+	0.0582190i	0.577563	−	0.816346i	$-0.304004\pi$
$853$	2.70610	+	1.70035i	0.0926551	+	0.0582190i	−0.484908	+	0.874565i	$0.661147\pi$
$854$	7.32789	−	8.80802i	0.250755	−	0.301404i
$855$	−1.05313	+	8.20576i	−0.0360162	+	0.280631i
$856$	7.33905	+	6.80965i	0.250844	+	0.232749i
$857$	−5.81248	−	7.87563i	−0.198550	−	0.269026i	0.693999	−	0.719976i	$-0.255847\pi$
$857$	−5.81248	−	7.87563i	−0.198550	−	0.269026i	−0.892549	+	0.450950i	$0.851085\pi$
$858$	2.13857	+	2.89766i	0.0730097	+	0.0989246i
$859$	−3.53607	−	3.28099i	−0.120649	−	0.111946i	0.617541	−	0.786539i	$-0.288129\pi$
$859$	−3.53607	−	3.28099i	−0.120649	−	0.111946i	−0.738190	+	0.674592i	$0.764319\pi$
$860$	4.86965	−	3.76188i	0.166054	−	0.128279i
$861$	−22.1710	+	26.6492i	−0.755585	+	0.908203i
$862$	13.2808	+	8.34485i	0.452344	+	0.284227i
$863$	−35.4705	+	9.50429i	−1.20743	+	0.323530i	−0.805753	−	0.592252i	$-0.798239\pi$
$863$	−35.4705	+	9.50429i	−1.20743	+	0.323530i	−0.401676	+	0.915782i	$0.631572\pi$
$864$	−2.78746	−	4.82803i	−0.0948314	−	0.164253i
$865$	−12.5995	+	0.748753i	−0.428396	+	0.0254584i
$866$	7.90838	+	11.5995i	0.268738	+	0.394166i
$867$	−43.4252	+	4.89284i	−1.47480	+	0.166170i
$868$	−7.18889	+	12.9453i	−0.244007	+	0.439391i
$869$	0.907137	−	0.723418i	0.0307725	−	0.0245403i
$870$	3.05978	−	14.9073i	0.103736	−	0.505405i
$871$	−10.6592	−	4.18342i	−0.361172	−	0.141750i
$872$	3.42847	+	2.95044i	0.116103	+	0.0999145i
$873$	−16.4273	−	7.16716i	−0.555980	−	0.242572i
$874$	5.68333	−	2.73695i	0.192241	−	0.0925786i
$875$	8.93766	+	28.1978i	0.302148	+	0.953261i
$876$	9.97721	+	4.80477i	0.337099	+	0.162338i
$877$	14.7704	+	17.1636i	0.498762	+	0.579572i	0.949770	−	0.312948i	$-0.101316\pi$
$877$	14.7704	+	17.1636i	0.498762	+	0.579572i	−0.451008	+	0.892520i	$0.648936\pi$
$878$	−6.91749	+	13.0885i	−0.233454	+	0.441717i
$879$	−23.7718	+	34.8669i	−0.801804	+	1.17603i
$880$	0.526610	+	2.09417i	0.0177520	+	0.0705943i
$881$		−	52.9438i		−	1.78372i	−0.452309	−	0.891861i	$-0.649399\pi$
$881$		−	52.9438i		−	1.78372i	0.452309	−	0.891861i	$-0.350601\pi$
$882$	2.11102	+	9.42495i	0.0710818	+	0.317354i
$883$	35.8926	+	35.8926i	1.20788	+	1.20788i	0.971712	+	0.236170i	$0.0758922\pi$
$883$	35.8926	+	35.8926i	1.20788	+	1.20788i	0.236170	+	0.971712i	$0.424108\pi$
$884$	−3.12855	−	20.7566i	−0.105225	−	0.698119i
$885$	0.235324	+	0.806939i	0.00791035	+	0.0271249i
$886$	16.8038	−	5.18327i	0.564534	−	0.174136i
$887$	−14.3330	+	12.3345i	−0.481254	+	0.414153i	−0.859172	−	0.511686i	$-0.829021\pi$
$887$	−14.3330	+	12.3345i	−0.481254	+	0.414153i	0.377918	+	0.925839i	$0.376640\pi$
$888$	−3.26282	+	1.14171i	−0.109493	+	0.0383133i
$889$	−2.94444	+	8.88732i	−0.0987532	+	0.298071i
$890$	29.3449	+	7.17627i	0.983644	+	0.240549i
$891$	−1.04321	−	2.65805i	−0.0349487	−	0.0890479i
$892$	−1.15185	+	1.33847i	−0.0385667	+	0.0448153i
$893$	−24.7271	+	10.7883i	−0.827460	+	0.361017i
$894$	20.0239	+	6.17654i	0.669698	+	0.206575i
$895$	−31.3971	−	32.3820i	−1.04949	−	1.08241i
$896$	1.27510	+	2.31821i	0.0425982	+	0.0774461i
$897$	−0.982269	−	8.71787i	−0.0327970	−	0.291081i
$898$	35.9701	+	6.80590i	1.20034	+	0.227116i
$899$	−21.9358	+	20.3534i	−0.731599	+	0.678825i
$900$	4.53404	+	5.19975i	0.151135	+	0.173325i
$901$	21.2186	+	12.2506i	0.706895	+	0.408126i
$902$	5.28867	−	8.41688i	0.176094	−	0.280251i
$903$	6.68765	−	6.41601i	0.222551	−	0.213512i
$904$	3.36528	+	0.768103i	0.111927	+	0.0255467i
$905$	−36.7362	−	27.9990i	−1.22115	−	0.930719i
$906$	0.0318337	−	0.211202i	0.00105760	−	0.00701673i
$907$	−34.2844	+	25.3031i	−1.13840	+	0.840175i	−0.988899	−	0.148588i	$-0.952527\pi$
$907$	−34.2844	+	25.3031i	−1.13840	+	0.840175i	−0.149497	+	0.988762i	$0.547765\pi$
$908$	24.7502	−	0.926087i	0.821364	−	0.0307333i
$909$	0.317314	−	1.39024i	0.0105246	−	0.0461115i
$910$	−15.3344	−	8.08033i	−0.508330	−	0.267860i
$911$	0.448752	+	1.96611i	0.0148678	+	0.0651402i	0.981818	−	0.189827i	$-0.0607926\pi$
$911$	0.448752	+	1.96611i	0.0148678	+	0.0651402i	−0.966950	+	0.254967i	$0.917935\pi$
$912$	0.883393	+	3.29687i	0.0292521	+	0.109170i
$913$	0.276196	+	0.0740065i	0.00914075	+	0.00244926i
$914$	4.24642	+	4.57655i	0.140459	+	0.151379i
$915$	1.11081	−	12.2758i	0.0367223	−	0.405826i
$916$	2.06275	+	1.64499i	0.0681553	+	0.0543521i
$917$	−34.5386	+	38.4915i	−1.14057	+	1.27110i
$918$	−4.47210	+	39.6910i	−0.147601	+	1.31000i
$919$	−7.35974	+	23.8597i	−0.242775	+	0.787058i	0.749390	+	0.662128i	$0.230347\pi$
$919$	−7.35974	+	23.8597i	−0.242775	+	0.787058i	−0.992166	+	0.124930i	$0.960130\pi$
$920$	1.43975	−	5.05939i	0.0474672	−	0.166803i
$921$	2.73644	+	36.5153i	0.0901689	+	1.20322i
$922$	1.90086	−	4.35682i	0.0626015	−	0.143484i
$923$	12.8219	−	36.6428i	0.422037	−	1.20611i
$924$	1.12516	+	3.05136i	0.0370151	+	0.100382i
$925$	11.7150	−	6.86582i	0.385187	−	0.225747i
$926$	−0.902242	+	12.0396i	−0.0296495	+	0.395645i
$927$	19.9938	+	10.5670i	0.656683	+	0.347067i
$928$	0.994018	+	5.25351i	0.0326302	+	0.172455i
$929$	−35.3292	+	5.32502i	−1.15911	+	0.174708i	−0.700316	−	0.713833i	$-0.746957\pi$
$929$	−35.3292	+	5.32502i	−1.15911	+	0.174708i	−0.458797	+	0.888541i	$0.651719\pi$
$930$	1.53889	+	15.8550i	0.0504623	+	0.519906i
$931$	0.777872	−	18.7541i	0.0254937	−	0.614640i
$932$	16.0006	−	16.0006i	0.524117	−	0.524117i
$933$	−14.2365	−	10.5070i	−0.466082	−	0.343984i
$934$	11.5522	+	7.87612i	0.377998	+	0.257715i
$935$	5.87390	−	14.3125i	0.192097	−	0.468070i
$936$	−4.03121	−	0.302097i	−0.131764	−	0.00987436i
$937$	−9.22517	−	26.3640i	−0.301373	−	0.861275i	−0.990607	−	0.136736i	$-0.956339\pi$
$937$	−9.22517	−	26.3640i	−0.301373	−	0.861275i	0.689234	−	0.724539i	$-0.257947\pi$
$938$	−8.19088	−	6.31150i	−0.267442	−	0.206078i
$939$	6.80332	+	14.1272i	0.222018	+	0.461025i
$940$	−6.96228	+	21.3926i	−0.227085	+	0.697749i
$941$	−10.0923	+	0.756311i	−0.328998	+	0.0246550i	−0.238205	−	0.971215i	$-0.576559\pi$
$941$	−10.0923	+	0.756311i	−0.328998	+	0.0246550i	−0.0907929	+	0.995870i	$0.528940\pi$
$942$	3.30357	+	7.57186i	0.107636	+	0.246705i
$943$	−21.4091	+	11.3151i	−0.697177	+	0.368469i
$944$	−0.184129	−	0.230890i	−0.00599289	−	0.00751484i
$945$	24.2049	+	22.4035i	0.787385	+	0.728786i
$946$	−1.65693	+	2.07773i	−0.0538716	+	0.0675528i
$947$	−1.29737	+	6.85677i	−0.0421589	+	0.222815i	−0.997310	−	0.0733051i	$-0.976645\pi$
$947$	−1.29737	+	6.85677i	−0.0421589	+	0.222815i	0.955151	+	0.296120i	$0.0956929\pi$
$948$	0.0571841	−	1.52828i	0.00185725	−	0.0496361i
$949$	22.0742	−	12.7445i	0.716558	−	0.413705i
$950$	−5.89578	−	12.0414i	−0.191284	−	0.390675i
$951$	24.9994	−	5.70594i	0.810660	−	0.185028i
$952$	2.51231	−	18.7885i	0.0814245	−	0.608940i
$953$	3.70952	−	2.33085i	0.120163	−	0.0755036i	−0.470609	−	0.882342i	$-0.655966\pi$
$953$	3.70952	−	2.33085i	0.120163	−	0.0755036i	0.590773	+	0.806838i	$0.298823\pi$
$954$	3.20940	−	3.45891i	0.103908	−	0.111986i
$955$	2.63524	−	49.8235i	0.0852744	−	1.61225i
$956$	−16.9516	−	2.55505i	−0.548255	−	0.0826361i
$957$	0.245745	+	6.56767i	0.00794381	+	0.212303i
$958$	0.349311	+	0.555924i	0.0112857	+	0.0179611i
$959$	−18.9720	+	37.3929i	−0.612638	+	1.20748i
$960$	2.54500	+	1.27439i	0.0821395	+	0.0411307i
$961$	0.161429	−	0.279603i	0.00520739	−	0.00901946i
$962$	−2.05933	+	7.68552i	−0.0663954	+	0.247791i
$963$	−13.8042	−	0.516517i	−0.444835	−	0.0166445i
$964$	−4.40592	+	3.00391i	−0.141905	+	0.0967493i
$965$	−7.14178	−	33.6793i	−0.229902	−	1.08418i
$966$	1.34288	−	7.80778i	0.0432065	−	0.251211i
$967$	−15.2124	−	1.71403i	−0.489199	−	0.0551195i	−0.136080	−	0.990698i	$-0.543450\pi$
$967$	−15.2124	−	1.71403i	−0.489199	−	0.0551195i	−0.353119	+	0.935578i	$0.614879\pi$
$968$	4.70419	+	8.90077i	0.151199	+	0.286082i
$969$	8.93406	−	22.7636i	0.287003	−	0.731272i
$970$	28.6191	−	4.95856i	0.918905	−	0.159210i
$971$	−37.3500	+	14.6588i	−1.19862	+	0.470423i	−0.878862	−	0.477076i	$-0.841697\pi$
$971$	−37.3500	+	14.6588i	−1.19862	+	0.470423i	−0.319757	+	0.947499i	$0.603601\pi$
$972$	12.2337	+	4.28077i	0.392397	+	0.137306i
$973$	−23.2929	−	28.2297i	−0.746736	−	0.905003i
$974$	13.2322	−	27.4770i	0.423989	−	0.880421i
$975$	−18.5153	+	2.20843i	−0.592964	+	0.0707262i
$976$	1.27647	+	4.13821i	0.0408588	+	0.132461i
$977$	−40.3250	+	7.62989i	−1.29011	+	0.244102i	−0.785293	−	0.619125i	$-0.787488\pi$
$977$	−40.3250	+	7.62989i	−1.29011	+	0.244102i	−0.504817	+	0.863226i	$0.668440\pi$
$978$	−8.02595	+	10.8748i	−0.256642	+	0.347737i
$979$	−13.0467			−0.416975
$980$	−11.2643	−	10.8681i	−0.359826	−	0.347167i
$981$	−6.24105			−0.199261
$982$	17.4951	−	23.7050i	0.558290	−	0.756456i
$983$	−26.4785	+	5.01000i	−0.844533	+	0.159794i	−0.590134	−	0.807305i	$-0.700925\pi$
$983$	−26.4785	+	5.01000i	−0.844533	+	0.159794i	−0.254399	+	0.967099i	$0.581877\pi$
$984$	−3.86204	−	12.5204i	−0.123117	−	0.399136i
$985$	9.35315	−	9.77319i	0.298016	−	0.311400i
$986$	16.6209	−	34.5136i	0.529316	−	1.09914i
$987$	−6.98779	+	33.1541i	−0.222424	+	1.05531i
$988$	7.41533	+	2.59474i	0.235913	+	0.0825496i
$989$	6.02626	−	2.36513i	0.191624	−	0.0752068i
$990$	−2.43553	−	1.71620i	−0.0774061	−	0.0545443i
$991$	7.45541	−	18.9961i	0.236829	−	0.603430i	−0.762207	−	0.647334i	$-0.775884\pi$
$991$	7.45541	−	18.9961i	0.236829	−	0.603430i	0.999036	+	0.0439032i	$0.0139793\pi$
$992$	−2.61515	−	4.94811i	−0.0830312	−	0.157103i
$993$	29.8697	+	3.36551i	0.947886	+	0.106801i
$994$	20.3445	−	28.5501i	0.645289	−	0.905555i
$995$	−8.29788	−	5.39440i	−0.263060	−	0.171014i
$996$	0.311405	−	0.212312i	0.00986723	−	0.00672737i
$997$	−42.4355	−	1.58782i	−1.34394	−	0.0502869i	−0.644297	−	0.764775i	$-0.722850\pi$
$997$	−42.4355	−	1.58782i	−1.34394	−	0.0502869i	−0.699648	+	0.714488i	$0.746660\pi$
$998$	−4.27696	+	15.9618i	−0.135385	+	0.505263i
$999$	7.57002	−	13.1117i	0.239505	−	0.414835i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	490.2.w.a.103.5	✓	672
5.2	odd	4	inner	490.2.w.a.397.10	yes	672
49.10	odd	42	inner	490.2.w.a.353.10	yes	672
245.157	even	84	inner	490.2.w.a.157.5	yes	672

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
490.2.w.a.103.5	✓	672	1.1	even	1	trivial
490.2.w.a.157.5	yes	672	245.157	even	84	inner
490.2.w.a.353.10	yes	672	49.10	odd	42	inner
490.2.w.a.397.10	yes	672	5.2	odd	4	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:	\( N \)	\(=\)	\( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	490.w (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.593820 + 0.804598i) q^{2} +(-1.25069 + 0.236643i) q^{3} +(-0.294755 - 0.955573i) q^{4} +(-2.23553 + 0.0490946i) q^{5} +(0.552281 - 1.14682i) q^{6} +(-0.631658 - 2.56924i) q^{7} +(0.943883 + 0.330279i) q^{8} +(-1.28440 + 0.504091i) q^{9} +(1.28800 - 1.82785i) q^{10} +(-0.352809 + 0.898942i) q^{11} +(0.594776 + 1.12537i) q^{12} +(2.91140 + 0.328036i) q^{13} +(2.44230 + 1.01744i) q^{14} +(2.78433 - 0.590424i) q^{15} +(-0.826239 + 0.563320i) q^{16} +(7.15960 + 0.267893i) q^{17} +(0.357114 - 1.33277i) q^{18} +(-1.34073 + 2.32221i) q^{19} +(0.705847 + 2.12174i) q^{20} +(1.39800 + 3.06384i) q^{21} +(-0.513782 - 0.817679i) q^{22} +(0.0879612 + 2.35081i) q^{23} +(-1.25866 - 0.189713i) q^{24} +(4.99518 - 0.219505i) q^{25} +(-1.99279 + 2.14771i) q^{26} +(4.72043 - 2.96604i) q^{27} +(-2.26891 + 1.36089i) q^{28} +(-5.21267 + 1.18976i) q^{29} +(-1.17834 + 2.59087i) q^{30} +(4.84687 - 2.79834i) q^{31} +(0.0373912 - 0.999301i) q^{32} +(0.228525 - 1.20778i) q^{33} +(-4.46706 + 5.60152i) q^{34} +(1.53823 + 5.71261i) q^{35} +(0.860279 + 1.07876i) q^{36} +(2.40103 - 1.26898i) q^{37} +(-1.07229 - 2.45772i) q^{38} +(-3.71888 + 0.278691i) q^{39} +(-2.12629 - 0.692009i) q^{40} +(4.46623 + 9.27423i) q^{41} +(-3.29532 - 0.694544i) q^{42} +(-0.908900 - 2.59749i) q^{43} +(0.962997 + 0.0721666i) q^{44} +(2.84657 - 1.18997i) q^{45} +(-1.94369 - 1.32519i) q^{46} +(8.09504 + 5.97441i) q^{47} +(0.900061 - 0.900061i) q^{48} +(-6.20202 + 3.24577i) q^{49} +(-2.78963 + 4.14946i) q^{50} +(-9.01781 + 1.35922i) q^{51} +(-0.544688 - 2.87875i) q^{52} +(3.02345 + 1.59794i) q^{53} +(-0.416615 + 5.55934i) q^{54} +(0.744581 - 2.02693i) q^{55} +(0.252356 - 2.63369i) q^{56} +(1.12730 - 3.22163i) q^{57} +(2.13811 - 4.90060i) q^{58} +(0.0220693 + 0.294494i) q^{59} +(-1.38489 - 2.48660i) q^{60} +(1.27647 - 4.13821i) q^{61} +(-0.626630 + 5.56149i) q^{62} +(2.10643 + 2.98153i) q^{63} +(0.781831 + 0.623490i) q^{64} +(-6.52462 - 0.590400i) q^{65} +(0.836078 + 0.901078i) q^{66} +(-3.77516 - 1.01155i) q^{67} +(-1.85434 - 6.92048i) q^{68} +(-0.666315 - 2.91932i) q^{69} +(-5.50978 - 2.15461i) q^{70} +(2.94849 - 12.9182i) q^{71} +(-1.37882 + 0.0515917i) q^{72} +(6.99989 - 5.16615i) q^{73} +(-0.404760 + 2.68541i) q^{74} +(-6.19546 + 1.45661i) q^{75} +(2.61423 + 0.596681i) q^{76} +(2.53245 + 0.338627i) q^{77} +(1.98411 - 3.15769i) q^{78} +(-1.04052 - 0.600743i) q^{79} +(1.81942 - 1.29988i) q^{80} +(-2.16753 + 2.01118i) q^{81} +(-10.1142 - 1.91370i) q^{82} +(-0.0331522 - 0.294234i) q^{83} +(2.51566 - 2.23897i) q^{84} +(-16.0186 - 0.247386i) q^{85} +(2.62966 + 0.811141i) q^{86} +(6.23787 - 2.72156i) q^{87} +(-0.629912 + 0.731971i) q^{88} +(4.93582 + 12.5763i) q^{89} +(-0.732906 + 2.99697i) q^{90} +(-0.996205 - 7.68730i) q^{91} +(2.22045 - 0.776968i) q^{92} +(-5.39971 + 4.64683i) q^{93} +(-9.61399 + 2.96552i) q^{94} +(2.88323 - 5.25719i) q^{95} +(0.189713 + 1.25866i) q^{96} +(9.18500 + 9.18500i) q^{97} +(1.07135 - 6.91753i) q^{98} -1.33245i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 672 q + 12 q^{5} - 28 q^{6} - 8 q^{7} + 12 q^{10} + 4 q^{11} - 44 q^{15} - 56 q^{16} + 8 q^{17} + 28 q^{21} + 20 q^{22} + 4 q^{23} - 4 q^{25} + 16 q^{26} - 4 q^{28} - 12 q^{30} - 24 q^{31} - 48 q^{33} - 8 q^{35}+ \cdots - 40 q^{98}+O(q^{100}) \) 672 * q + 12 * q^5 - 28 * q^6 - 8 * q^7 + 12 * q^10 + 4 * q^11 - 44 * q^15 - 56 * q^16 + 8 * q^17 + 28 * q^21 + 20 * q^22 + 4 * q^23 - 4 * q^25 + 16 * q^26 - 4 * q^28 - 12 * q^30 - 24 * q^31 - 48 * q^33 - 8 * q^35 + 92 * q^36 - 12 * q^37 - 24 * q^38 - 112 * q^41 + 76 * q^42 + 24 * q^43 - 100 * q^45 - 160 * q^46 + 72 * q^47 + 32 * q^50 - 208 * q^51 + 160 * q^53 - 84 * q^55 - 52 * q^56 - 92 * q^57 + 128 * q^58 - 212 * q^61 + 36 * q^63 - 16 * q^67 + 36 * q^68 - 16 * q^70 - 16 * q^71 + 12 * q^73 + 132 * q^75 - 16 * q^77 + 80 * q^78 + 12 * q^80 - 36 * q^81 + 48 * q^82 - 308 * q^83 - 40 * q^85 - 4 * q^86 + 52 * q^87 - 4 * q^88 + 84 * q^90 - 124 * q^91 - 8 * q^92 - 536 * q^93 - 28 * q^95 - 12 * q^96 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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