LMFDB - Embedded newform 161.2.m.a.100.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [161,2,Mod(2,161)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(161, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([22, 6]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("161.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 161 = 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	161.m (of order $33$, degree $20$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.28559147254$
Analytic rank:	$0$
Dimension:	$280$
Relative dimension:	$14$ over $\Q(\zeta_{33})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label			100.9
Character	$\chi$	$=$	161.100
Dual form			161.2.m.a.95.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.151491 + 0.119134i) q^{2} +(0.849537 - 1.19301i) q^{3} +(-0.462761 - 1.90753i) q^{4} +(-2.42414 + 0.467215i) q^{5} +(0.270825 - 0.0795213i) q^{6} +(-0.112000 - 2.64338i) q^{7} +(0.317267 - 0.694719i) q^{8} +(0.279650 + 0.807996i) q^{9} +(-0.422897 - 0.218018i) q^{10} +(3.72350 - 2.92819i) q^{11} +(-2.66883 - 1.06844i) q^{12} +(-2.71073 + 1.74208i) q^{13} +(0.297949 - 0.413791i) q^{14} +(-1.50201 + 3.28894i) q^{15} +(-3.35849 + 1.73142i) q^{16} +(4.22926 + 4.03259i) q^{17} +(-0.0538952 + 0.155720i) q^{18} +(2.35964 - 2.24991i) q^{19} +(2.01302 + 4.40791i) q^{20} +(-3.24872 - 2.11203i) q^{21} +0.912924 q^{22} +(4.59080 - 1.38728i) q^{23} +(-0.559274 - 0.968691i) q^{24} +(1.01634 - 0.406879i) q^{25} +(-0.618192 - 0.0590302i) q^{26} +(5.41726 + 1.59065i) q^{27} +(-4.99049 + 1.43690i) q^{28} +(1.35313 - 0.397314i) q^{29} +(-0.619364 + 0.319304i) q^{30} +(-3.67129 + 0.350566i) q^{31} +(-2.21492 - 0.426891i) q^{32} +(-0.330106 - 6.92977i) q^{33} +(0.160277 + 1.11475i) q^{34} +(1.50653 + 6.35560i) q^{35} +(1.41186 - 0.907350i) q^{36} +(2.92609 + 8.45439i) q^{37} +(0.625505 - 0.0597285i) q^{38} +(-0.224550 + 4.71388i) q^{39} +(-0.444518 + 1.83233i) q^{40} +(1.98336 + 2.28892i) q^{41} +(-0.240537 - 0.706986i) q^{42} +(-4.17788 - 9.14828i) q^{43} +(-7.30870 - 5.74763i) q^{44} +(-1.05542 - 1.82804i) q^{45} +(0.860737 + 0.336760i) q^{46} +(-4.76692 + 8.25654i) q^{47} +(-0.787561 + 5.47760i) q^{48} +(-6.97491 + 0.592118i) q^{49} +(0.202439 + 0.0594414i) q^{50} +(8.40382 - 1.61970i) q^{51} +(4.57749 + 4.36463i) q^{52} +(0.0633344 - 1.32955i) q^{53} +(0.631166 + 0.886349i) q^{54} +(-7.65820 + 8.83804i) q^{55} +(-1.87194 - 0.760850i) q^{56} +(-0.679561 - 4.72645i) q^{57} +(0.252320 + 0.101014i) q^{58} +(-8.42116 - 4.34141i) q^{59} +(6.96881 + 1.34313i) q^{60} +(1.10846 + 1.55661i) q^{61} +(-0.597932 - 0.384268i) q^{62} +(2.10452 - 0.829717i) q^{63} +(4.66413 + 5.38270i) q^{64} +(5.75727 - 5.48954i) q^{65} +(0.775562 - 1.08912i) q^{66} +(11.7141 - 4.68961i) q^{67} +(5.73514 - 9.93356i) q^{68} +(2.24502 - 6.65540i) q^{69} +(-0.528941 + 1.14229i) q^{70} +(0.367659 - 2.55713i) q^{71} +(0.650054 + 0.0620726i) q^{72} +(0.326896 + 1.34748i) q^{73} +(-0.563927 + 1.62936i) q^{74} +(0.378004 - 1.55815i) q^{75} +(-5.38372 - 3.45991i) q^{76} +(-8.15736 - 9.51467i) q^{77} +(-0.595600 + 0.687359i) q^{78} +(0.0510625 + 1.07193i) q^{79} +(7.33250 - 5.76635i) q^{80} +(4.48355 - 3.52590i) q^{81} +(0.0277734 + 0.583036i) q^{82} +(-2.91906 + 3.36878i) q^{83} +(-2.52538 + 7.17439i) q^{84} +(-12.1364 - 7.79960i) q^{85} +(0.456959 - 1.88361i) q^{86} +(0.675532 - 1.95182i) q^{87} +(-0.852926 - 3.51581i) q^{88} +(2.71919 + 0.259651i) q^{89} +(0.0578949 - 0.402668i) q^{90} +(4.90858 + 6.97038i) q^{91} +(-4.77071 - 8.11510i) q^{92} +(-2.70067 + 4.67770i) q^{93} +(-1.70578 + 0.682891i) q^{94} +(-4.66891 + 6.55657i) q^{95} +(-2.39094 + 2.27976i) q^{96} +(-7.46247 - 8.61215i) q^{97} +(-1.12718 - 0.741247i) q^{98} +(3.40725 + 2.18971i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 280 q - 11 q^{2} - 9 q^{3} + q^{4} - 11 q^{5} - 52 q^{6} - 20 q^{7} - 32 q^{8} + 5 q^{9} - 21 q^{10} - 7 q^{11} - 17 q^{12} - 36 q^{13} - 18 q^{14} - 32 q^{15} + 11 q^{16} - 21 q^{17} + 23 q^{18} - 13 q^{19}+ \cdots + 202 q^{99}+O(q^{100}) $ 280 * q - 11 * q^2 - 9 * q^3 + q^4 - 11 * q^5 - 52 * q^6 - 20 * q^7 - 32 * q^8 + 5 * q^9 - 21 * q^10 - 7 * q^11 - 17 * q^12 - 36 * q^13 - 18 * q^14 - 32 * q^15 + 11 * q^16 - 21 * q^17 + 23 * q^18 - 13 * q^19 + 36 * q^20 - 90 * q^21 - 48 * q^22 + 11 * q^23 - 2 * q^24 + 9 * q^25 + 17 * q^26 + 6 * q^27 - 80 * q^28 - 40 * q^29 + 41 * q^30 - 7 * q^31 + 9 * q^32 - 33 * q^33 - 76 * q^34 - 6 * q^35 - 234 * q^36 + 27 * q^37 + 89 * q^38 + q^39 - 35 * q^40 - 72 * q^41 + 62 * q^42 - 128 * q^43 + 30 * q^44 + 108 * q^45 - 11 * q^46 - 6 * q^47 + 68 * q^48 + 80 * q^49 - 226 * q^50 + 21 * q^51 + 189 * q^52 - 21 * q^53 + 55 * q^54 - 48 * q^55 + 83 * q^56 - 76 * q^57 + 10 * q^58 + 47 * q^59 - 15 * q^60 + 65 * q^61 + 4 * q^62 + 25 * q^63 + 24 * q^64 - 66 * q^65 - 44 * q^66 - 21 * q^67 + 202 * q^68 - 60 * q^69 - 6 * q^70 - 28 * q^71 - 129 * q^72 + 15 * q^73 - 34 * q^74 + 139 * q^75 - 44 * q^76 + 61 * q^77 + 244 * q^78 - 69 * q^79 - 102 * q^80 + 151 * q^81 + 137 * q^82 + 24 * q^83 + 32 * q^84 + 124 * q^85 - 55 * q^86 - 129 * q^87 + 64 * q^88 - 21 * q^89 - 28 * q^90 - 62 * q^91 + 154 * q^92 + 4 * q^93 - 98 * q^94 + 38 * q^95 + 165 * q^96 - 12 * q^97 + 12 * q^98 + 202 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/161\mathbb{Z}\right)^\times$.

$n$	$24$	$120$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{3}{11}\right)$

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 $

$2$	0.151491	+	0.119134i	0.107120	+	0.0842403i	0.670282	−	0.742106i	$-0.266173\pi$
$2$	0.151491	+	0.119134i	0.107120	+	0.0842403i	−0.563162	+	0.826346i	$0.690415\pi$
$3$	0.849537	−	1.19301i	0.490480	−	0.688783i	−0.492953	−	0.870056i	$-0.664082\pi$
$3$	0.849537	−	1.19301i	0.490480	−	0.688783i	0.983433	+	0.181273i	$0.0580218\pi$
$4$	−0.462761	−	1.90753i	−0.231381	−	0.953764i
$5$	−2.42414	+	0.467215i	−1.08411	+	0.208945i	−0.699857	−	0.714283i	$-0.746753\pi$
$5$	−2.42414	+	0.467215i	−1.08411	+	0.208945i	−0.384252	+	0.923228i	$0.625541\pi$
$6$	0.270825	−	0.0795213i	0.110564	−	0.0324644i
$7$	−0.112000	−	2.64338i	−0.0423321	−	0.999104i
$7$	−0.112000	−	2.64338i	−0.0423321	−	0.999104i
$8$	0.317267	−	0.694719i	0.112171	−	0.245620i
$9$	0.279650	+	0.807996i	0.0932167	+	0.269332i
$10$	−0.422897	−	0.218018i	−0.133732	−	0.0689435i
$11$	3.72350	−	2.92819i	1.12268	−	0.882884i	0.128616	−	0.991695i	$-0.458947\pi$
$11$	3.72350	−	2.92819i	1.12268	−	0.882884i	0.994062	+	0.108811i	$0.0347042\pi$
$12$	−2.66883	−	1.06844i	−0.770424	−	0.308431i
$13$	−2.71073	+	1.74208i	−0.751821	+	0.483166i	−0.859574	−	0.511012i	$-0.829271\pi$
$13$	−2.71073	+	1.74208i	−0.751821	+	0.483166i	0.107753	+	0.994178i	$0.465635\pi$
$14$	0.297949	−	0.413791i	0.0796302	−	0.110590i
$15$	−1.50201	+	3.28894i	−0.387816	+	0.849199i
$16$	−3.35849	+	1.73142i	−0.839622	+	0.432855i
$17$	4.22926	+	4.03259i	1.02575	+	0.978047i	0.999766	−	0.0216156i	$-0.00688100\pi$
$17$	4.22926	+	4.03259i	1.02575	+	0.978047i	0.0259797	+	0.999662i	$0.491729\pi$
$18$	−0.0538952	+	0.155720i	−0.0127032	+	0.0367035i
$19$	2.35964	−	2.24991i	0.541339	−	0.516165i	−0.369333	−	0.929297i	$-0.620414\pi$
$19$	2.35964	−	2.24991i	0.541339	−	0.516165i	0.910671	+	0.413132i	$0.135565\pi$
$20$	2.01302	+	4.40791i	0.450126	+	0.985638i
$21$	−3.24872	−	2.11203i	−0.708929	−	0.460883i
$22$	0.912924			0.194636
$23$	4.59080	−	1.38728i	0.957248	−	0.289267i
$23$	4.59080	−	1.38728i	0.957248	−	0.289267i
$24$	−0.559274	−	0.968691i	−0.114161	−	0.197733i
$25$	1.01634	−	0.406879i	0.203267	−	0.0813759i
$26$	−0.618192	−	0.0590302i	−0.121237	−	0.0115768i
$27$	5.41726	+	1.59065i	1.04255	+	0.306121i
$28$	−4.99049	+	1.43690i	−0.943114	+	0.271548i
$29$	1.35313	−	0.397314i	0.251269	−	0.0737793i	−0.153672	−	0.988122i	$-0.549110\pi$
$29$	1.35313	−	0.397314i	0.251269	−	0.0737793i	0.404942	+	0.914343i	$0.367292\pi$
$30$	−0.619364	+	0.319304i	−0.113080	+	0.0582967i
$31$	−3.67129	+	0.350566i	−0.659384	+	0.0629635i	−0.419383	−	0.907809i	$-0.637754\pi$
$31$	−3.67129	+	0.350566i	−0.659384	+	0.0629635i	−0.240000	+	0.970773i	$0.577148\pi$
$32$	−2.21492	−	0.426891i	−0.391546	−	0.0754644i
$33$	−0.330106	−	6.92977i	−0.0574640	−	1.20632i
$34$	0.160277	+	1.11475i	0.0274872	+	0.191178i
$35$	1.50653	+	6.35560i	0.254650	+	1.07429i
$36$	1.41186	−	0.907350i	0.235311	−	0.151225i
$37$	2.92609	+	8.45439i	0.481047	+	1.38989i	0.880895	+	0.473312i	$0.156942\pi$
$37$	2.92609	+	8.45439i	0.481047	+	1.38989i	−0.399848	+	0.916581i	$0.630937\pi$
$38$	0.625505	−	0.0597285i	0.101470	−	0.00968924i
$39$	−0.224550	+	4.71388i	−0.0359568	+	0.754825i
$40$	−0.444518	+	1.83233i	−0.0702845	+	0.289717i
$41$	1.98336	+	2.28892i	0.309749	+	0.357469i	0.889185	−	0.457549i	$-0.151272\pi$
$41$	1.98336	+	2.28892i	0.309749	+	0.357469i	−0.579436	+	0.815018i	$0.696727\pi$
$42$	−0.240537	−	0.706986i	−0.0371157	−	0.109090i
$43$	−4.17788	−	9.14828i	−0.637121	−	1.39510i	−0.902388	−	0.430925i	$-0.858187\pi$
$43$	−4.17788	−	9.14828i	−0.637121	−	1.39510i	0.265267	−	0.964175i	$-0.414540\pi$
$44$	−7.30870	−	5.74763i	−1.10183	−	0.866488i
$45$	−1.05542	−	1.82804i	−0.157333	−	0.272508i
$46$	0.860737	+	0.336760i	0.126909	+	0.0496525i
$47$	−4.76692	+	8.25654i	−0.695326	+	1.20434i	0.274744	+	0.961517i	$0.411407\pi$
$47$	−4.76692	+	8.25654i	−0.695326	+	1.20434i	−0.970071	+	0.242823i	$0.921927\pi$
$48$	−0.787561	+	5.47760i	−0.113675	+	0.790624i
$49$	−6.97491	+	0.592118i	−0.996416	+	0.0845883i
$50$	0.202439	+	0.0594414i	0.0286292	+	0.00840628i
$51$	8.40382	−	1.61970i	1.17677	−	0.226804i
$52$	4.57749	+	4.36463i	0.634783	+	0.605265i
$53$	0.0633344	−	1.32955i	0.00869964	−	0.182628i	−0.990335	−	0.138697i	$-0.955709\pi$
$53$	0.0633344	−	1.32955i	0.00869964	−	0.182628i	0.999035	−	0.0439313i	$-0.0139883\pi$
$54$	0.631166	+	0.886349i	0.0858908	+	0.120617i
$55$	−7.65820	+	8.83804i	−1.03263	+	1.19172i
$56$	−1.87194	−	0.760850i	−0.250148	−	0.101673i
$57$	−0.679561	−	4.72645i	−0.0900100	−	0.626034i
$58$	0.252320	+	0.101014i	0.0331312	+	0.0132637i
$59$	−8.42116	−	4.34141i	−1.09634	−	0.565203i	−0.187466	−	0.982271i	$-0.560027\pi$
$59$	−8.42116	−	4.34141i	−1.09634	−	0.565203i	−0.908875	+	0.417068i	$0.863058\pi$
$60$	6.96881	+	1.34313i	0.899669	+	0.173397i
$61$	1.10846	+	1.55661i	0.141923	+	0.199303i	0.879419	−	0.476048i	$-0.157931\pi$
$61$	1.10846	+	1.55661i	0.141923	+	0.199303i	−0.737496	+	0.675352i	$0.763992\pi$
$62$	−0.597932	−	0.384268i	−0.0759374	−	0.0488020i
$63$	2.10452	−	0.829717i	0.265145	−	0.104535i
$64$	4.66413	+	5.38270i	0.583017	+	0.672837i
$65$	5.75727	−	5.48954i	0.714101	−	0.680894i
$66$	0.775562	−	1.08912i	0.0954651	−	0.134062i
$67$	11.7141	−	4.68961i	1.43110	−	0.572927i	0.478758	−	0.877947i	$-0.341087\pi$
$67$	11.7141	−	4.68961i	1.43110	−	0.572927i	0.952346	+	0.305020i	$0.0986631\pi$
$68$	5.73514	−	9.93356i	0.695488	−	1.20462i
$69$	2.24502	−	6.65540i	0.270269	−	0.801216i
$70$	−0.528941	+	1.14229i	−0.0632205	+	0.136530i
$71$	0.367659	−	2.55713i	0.0436331	−	0.303475i	−0.956305	−	0.292370i	$-0.905556\pi$
$71$	0.367659	−	2.55713i	0.0436331	−	0.303475i	0.999938	−	0.0111049i	$-0.00353486\pi$
$72$	0.650054	+	0.0620726i	0.0766096	+	0.00731533i
$73$	0.326896	+	1.34748i	0.0382602	+	0.157711i	0.987737	−	0.156126i	$-0.0499006\pi$
$73$	0.326896	+	1.34748i	0.0382602	+	0.157711i	−0.949477	+	0.313837i	$0.898385\pi$
$74$	−0.563927	+	1.62936i	−0.0655552	+	0.189409i
$75$	0.378004	−	1.55815i	0.0436482	−	0.179920i
$76$	−5.38372	−	3.45991i	−0.617555	−	0.396879i
$77$	−8.15736	−	9.51467i	−0.929618	−	1.08430i
$78$	−0.595600	+	0.687359i	−0.0674384	+	0.0778281i
$79$	0.0510625	+	1.07193i	0.00574498	+	0.120602i	0.999918	+	0.0128058i	$0.00407633\pi$
$79$	0.0510625	+	1.07193i	0.00574498	+	0.120602i	−0.994173	+	0.107796i	$0.965621\pi$
$80$	7.33250	−	5.76635i	0.819799	−	0.644697i
$81$	4.48355	−	3.52590i	0.498172	−	0.391767i
$82$	0.0277734	+	0.583036i	0.00306706	+	0.0643856i
$83$	−2.91906	+	3.36878i	−0.320409	+	0.369771i	−0.892990	−	0.450077i	$-0.851397\pi$
$83$	−2.91906	+	3.36878i	−0.320409	+	0.369771i	0.572581	+	0.819848i	$0.305942\pi$
$84$	−2.52538	+	7.17439i	−0.275541	+	0.782790i
$85$	−12.1364	−	7.79960i	−1.31638	−	0.845985i
$86$	0.456959	−	1.88361i	0.0492751	−	0.203115i
$87$	0.675532	−	1.95182i	0.0724246	−	0.209257i
$88$	−0.852926	−	3.51581i	−0.0909222	−	0.374786i
$89$	2.71919	+	0.259651i	0.288233	+	0.0275229i	0.238171	−	0.971223i	$-0.423452\pi$
$89$	2.71919	+	0.259651i	0.288233	+	0.0275229i	0.0500620	+	0.998746i	$0.484058\pi$
$90$	0.0578949	−	0.402668i	0.00610266	−	0.0424449i
$91$	4.90858	+	6.97038i	0.514559	+	0.730694i
$92$	−4.77071	−	8.11510i	−0.497381	−	0.846058i
$93$	−2.70067	+	4.67770i	−0.280046	+	0.485055i
$94$	−1.70578	+	0.682891i	−0.175938	+	0.0704348i
$95$	−4.66891	+	6.55657i	−0.479020	+	0.672690i
$96$	−2.39094	+	2.27976i	−0.244024	+	0.232677i
$97$	−7.46247	−	8.61215i	−0.757699	−	0.874431i	0.237592	−	0.971365i	$-0.423642\pi$
$97$	−7.46247	−	8.61215i	−0.757699	−	0.874431i	−0.995291	+	0.0969341i	$0.969096\pi$
$98$	−1.12718	−	0.741247i	−0.113862	−	0.0748773i
$99$	3.40725	+	2.18971i	0.342441	+	0.220074i
$100$	−1.24645	−	1.75040i	−0.124645	−	0.175040i
$101$	13.1345	+	2.53146i	1.30693	+	0.251890i	0.794723	−	0.606973i	$-0.207616\pi$
$101$	13.1345	+	2.53146i	1.30693	+	0.251890i	0.512206	+	0.858863i	$0.328828\pi$
$102$	1.46606	+	0.755809i	0.145162	+	0.0748362i
$103$	−9.91847	−	3.97076i	−0.977296	−	0.391250i	−0.172636	−	0.984986i	$-0.555228\pi$
$103$	−9.91847	−	3.97076i	−0.977296	−	0.391250i	−0.804660	+	0.593735i	$0.797653\pi$
$104$	0.350230	+	2.43590i	0.0343428	+	0.238860i
$105$	8.86213	+	3.60201i	0.864855	+	0.351520i
$106$	0.167989	−	0.193870i	0.0163166	−	0.0188303i
$107$	7.63581	+	10.7230i	0.738182	+	1.03663i	0.997488	+	0.0708360i	$0.0225667\pi$
$107$	7.63581	+	10.7230i	0.738182	+	1.03663i	−0.259306	+	0.965795i	$0.583494\pi$
$108$	0.527314	−	11.0697i	0.0507408	−	1.06518i
$109$	−10.7224	−	10.2238i	−1.02702	−	0.979262i	−0.0272279	−	0.999629i	$-0.508668\pi$
$109$	−10.7224	−	10.2238i	−1.02702	−	0.979262i	−0.999793	+	0.0203672i	$0.993516\pi$
$110$	−2.21306	+	0.426532i	−0.211007	+	0.0406682i
$111$	12.5720	+	3.69146i	1.19328	+	0.350378i
$112$	4.95295	+	8.68384i	0.468010	+	0.820546i
$113$	−1.35603	+	9.43139i	−0.127564	+	0.887231i	0.821063	+	0.570837i	$0.193381\pi$
$113$	−1.35603	+	9.43139i	−0.127564	+	0.887231i	−0.948628	+	0.316394i	$0.897528\pi$
$114$	0.460133	−	0.796973i	0.0430954	−	0.0746434i
$115$	−10.4806	+	5.50785i	−0.977321	+	0.513609i
$116$	−1.38406	−	2.39726i	−0.128507	−	0.222580i
$117$	−2.16565	−	1.70309i	−0.200214	−	0.157450i
$118$	−0.758521	−	1.66093i	−0.0698275	−	0.152901i
$119$	10.1860	−	11.6312i	0.933748	−	1.06623i
$120$	1.80835	+	2.08694i	0.165079	+	0.190511i
$121$	2.69680	−	11.1163i	0.245163	−	1.01058i
$122$	−0.0175237	+	0.367867i	−0.00158652	+	0.0333051i
$123$	4.41564	−	0.421642i	0.398145	−	0.0380182i
$124$	2.36765	+	6.84086i	0.212621	+	0.614328i
$125$	8.11061	−	5.21237i	0.725435	−	0.466209i
$126$	0.417663	+	0.125025i	0.0372084	+	0.0111381i
$127$	2.04265	+	14.2070i	0.181256	+	1.26066i	0.853798	+	0.520605i	$0.174294\pi$
$127$	2.04265	+	14.2070i	0.181256	+	1.26066i	−0.672541	+	0.740060i	$0.734797\pi$
$128$	0.279972	+	5.87734i	0.0247463	+	0.519489i
$129$	−14.4632	−	2.78756i	−1.27342	−	0.245431i
$130$	1.52616	−	0.145731i	0.133853	−	0.0127815i
$131$	−13.8649	+	7.14786i	−1.21138	+	0.624511i	−0.941054	−	0.338257i	$-0.890163\pi$
$131$	−13.8649	+	7.14786i	−1.21138	+	0.624511i	−0.270329	+	0.962768i	$0.587133\pi$
$132$	−13.0660	+	3.83652i	−1.13725	+	0.333926i
$133$	−6.21165	−	5.98543i	−0.538619	−	0.519003i
$134$	2.33327	+	0.685110i	0.201564	+	0.0591845i
$135$	−13.8754	−	1.32494i	−1.19420	−	0.114033i
$136$	4.14332	−	1.65874i	0.355287	−	0.142235i
$137$	5.21641	+	9.03509i	0.445668	+	0.771920i	0.998099	−	0.0616391i	$-0.0196328\pi$
$137$	5.21641	+	9.03509i	0.445668	+	0.771920i	−0.552430	+	0.833559i	$0.686299\pi$
$138$	1.13298	−	0.740775i	0.0964460	−	0.0630590i
$139$	3.68691			0.312720			0.156360	−	0.987700i	$-0.450024\pi$
$139$	3.68691			0.312720			0.156360	+	0.987700i	$0.450024\pi$
$140$	11.4263	−	5.81488i	0.965700	−	0.491447i
$141$	5.80044	+	12.7012i	0.488485	+	1.06963i
$142$	0.360337	−	0.343581i	0.0302388	−	0.0288327i
$143$	−4.99226	+	14.4242i	−0.417474	+	1.20621i
$144$	−2.33818	−	2.22945i	−0.194849	−	0.185788i
$145$	−3.09454	+	1.59535i	−0.256987	+	0.132486i
$146$	−0.111009	+	0.243076i	−0.00918717	+	0.0201171i
$147$	−5.21904	+	8.82415i	−0.430459	+	0.727803i
$148$	14.7729	−	9.49397i	1.21432	−	0.780399i
$149$	−7.33034	−	2.93462i	−0.600524	−	0.240414i	0.0514241	−	0.998677i	$-0.483624\pi$
$149$	−7.33034	−	2.93462i	−0.600524	−	0.240414i	−0.651949	+	0.758263i	$0.726048\pi$
$150$	0.242893	−	0.191013i	0.0198321	−	0.0155962i
$151$	−13.0667	−	6.73634i	−1.06335	−	0.548196i	−0.164468	−	0.986382i	$-0.552591\pi$
$151$	−13.0667	−	6.73634i	−1.06335	−	0.548196i	−0.898884	+	0.438187i	$0.855621\pi$
$152$	−0.814419	−	2.35311i	−0.0660581	−	0.190862i
$153$	−2.07560	+	4.54494i	−0.167803	+	0.367437i
$154$	−0.102248	−	2.41320i	−0.00823935	−	0.194462i
$155$	8.73595	−	2.56511i	0.701688	−	0.206034i
$156$	9.09577	−	1.75307i	0.728245	−	0.140358i
$157$	3.43831	+	14.1729i	0.274407	+	1.13112i	0.927494	+	0.373837i	$0.121958\pi$
$157$	3.43831	+	14.1729i	0.274407	+	1.13112i	−0.653088	+	0.757282i	$0.726527\pi$
$158$	−0.119968	+	0.168471i	−0.00954414	+	0.0134029i
$159$	−1.53236	−	1.20506i	−0.121524	−	0.0955676i
$160$	5.56873			0.440247
$161$	−4.18127	−	11.9799i	−0.329530	−	0.944145i
$162$	1.09927			0.0863669
$163$	7.00629	+	5.50981i	0.548775	+	0.431561i	0.853662	−	0.520827i	$-0.174376\pi$
$163$	7.00629	+	5.50981i	0.548775	+	0.431561i	−0.304887	+	0.952388i	$0.598619\pi$
$164$	3.44836	−	4.84254i	0.269271	−	0.378139i
$165$	4.03792	+	16.6445i	0.314351	+	1.29577i
$166$	−0.843547	+	0.162580i	−0.0654719	+	0.0126187i
$167$	2.41603	−	0.709409i	0.186958	−	0.0548957i	−0.186913	−	0.982376i	$-0.559848\pi$
$167$	2.41603	−	0.709409i	0.186958	−	0.0548957i	0.373871	+	0.927481i	$0.378030\pi$
$168$	−2.49798	+	1.58687i	−0.192723	+	0.122430i
$169$	−1.08718	+	2.38060i	−0.0836294	+	0.183123i
$170$	−0.909361	−	2.62743i	−0.0697448	−	0.201514i
$171$	2.47779	+	1.27739i	0.189482	+	0.0976846i
$172$	−15.5172	+	12.2029i	−1.18318	+	0.930462i
$173$	5.04995	+	2.02170i	0.383941	+	0.153707i	0.555600	−	0.831450i	$-0.312489\pi$
$173$	5.04995	+	2.02170i	0.383941	+	0.153707i	−0.171659	+	0.985156i	$0.554913\pi$
$174$	0.334865	−	0.215205i	0.0253860	−	0.0163146i
$175$	−1.18937	−	2.64099i	−0.0899076	−	0.199640i
$176$	−7.43540	+	16.2813i	−0.560464	+	1.22725i
$177$	−12.3334	+	6.35832i	−0.927036	+	0.477920i
$178$	0.380999	+	0.363282i	0.0285571	+	0.0272291i
$179$	−0.830629	+	2.39994i	−0.0620841	+	0.179380i	−0.971777	−	0.235901i	$-0.924196\pi$
$179$	−0.830629	+	2.39994i	−0.0620841	+	0.179380i	0.909693	+	0.415282i	$0.136317\pi$
$180$	−2.99863	+	2.85919i	−0.223505	+	0.213111i
$181$	−1.68806	−	3.69633i	−0.125472	−	0.274746i	0.836463	−	0.548023i	$-0.184620\pi$
$181$	−1.68806	−	3.69633i	−0.125472	−	0.274746i	−0.961935	+	0.273277i	$0.911892\pi$
$182$	−0.0868016	+	1.64073i	−0.00643416	+	0.121619i
$183$	2.79872			0.206887
$184$	0.492745	−	3.62945i	0.0363256	−	0.267567i
$185$	−11.0433	−	19.1275i	−0.811918	−	1.40628i
$186$	−0.966399	+	0.386888i	−0.0708598	+	0.0283680i
$187$	27.5559	+	2.63127i	2.01508	+	0.192417i
$188$	17.9555	+	5.27222i	1.30954	+	0.384516i
$189$	3.59796	−	14.4980i	0.261713	−	1.05458i
$190$	−1.48841	+	0.437036i	−0.107980	+	0.0317059i
$191$	−11.6418	+	6.00177i	−0.842372	+	0.434273i	−0.824700	−	0.565571i	$-0.808656\pi$
$191$	−11.6418	+	6.00177i	−0.842372	+	0.434273i	−0.0176721	+	0.999844i	$0.505625\pi$
$192$	10.3839	−	0.991547i	0.749397	−	0.0715587i
$193$	−0.559541	−	0.107843i	−0.0402766	−	0.00776268i	0.169073	−	0.985604i	$-0.445923\pi$
$193$	−0.559541	−	0.107843i	−0.0402766	−	0.00776268i	−0.209350	+	0.977841i	$0.567135\pi$
$194$	−0.104499	−	2.19369i	−0.00750256	−	0.157498i
$195$	−1.65806	−	11.5320i	−0.118736	−	0.825826i
$196$	4.35720	+	13.0308i	0.311229	+	0.930773i
$197$	−7.28014	+	4.67866i	−0.518688	+	0.333341i	−0.773653	−	0.633610i	$-0.781573\pi$
$197$	−7.28014	+	4.67866i	−0.518688	+	0.333341i	0.254965	+	0.966950i	$0.417936\pi$
$198$	0.255299	+	0.737639i	0.0181433	+	0.0524217i
$199$	3.90256	−	0.372649i	0.276645	−	0.0264164i	0.0441887	−	0.999023i	$-0.485930\pi$
$199$	3.90256	−	0.372649i	0.276645	−	0.0264164i	0.232457	+	0.972607i	$0.425324\pi$
$200$	0.0397834	−	0.835157i	0.00281311	−	0.0590545i
$201$	4.35680	−	17.9590i	0.307305	−	1.26673i
$202$	1.68817	+	1.94825i	0.118779	+	0.137079i
$203$	−1.20180	−	3.53233i	−0.0843499	−	0.247921i
$204$	−6.97859	−	15.2810i	−0.488599	−	1.06988i
$205$	−5.87737	−	4.62201i	−0.410493	−	0.322815i
$206$	−1.02951	−	1.78316i	−0.0717292	−	0.124239i
$207$	2.40473	+	3.32140i	0.167140	+	0.230853i
$208$	6.08768	−	10.5442i	0.422105	−	0.731107i
$209$	2.19794	−	15.2870i	0.152035	−	1.05743i
$210$	0.913411	+	1.60145i	0.0630314	+	0.110511i
$211$	−23.8358	−	6.99881i	−1.64092	−	0.481818i	−0.674392	−	0.738373i	$-0.735594\pi$
$211$	−23.8358	−	6.99881i	−1.64092	−	0.481818i	−0.966530	+	0.256555i	$0.917412\pi$
$212$	−2.56547	+	0.494453i	−0.176197	+	0.0339592i
$213$	−2.73833	−	2.61099i	−0.187627	−	0.178902i
$214$	−0.120715	+	2.53412i	−0.00825191	+	0.173229i
$215$	14.4020	+	20.2248i	0.982208	+	1.37932i
$216$	2.82378	−	3.25881i	0.192134	−	0.221734i
$217$	1.33786	+	9.66536i	0.0908201	+	0.656127i
$218$	−0.406348	−	2.82621i	−0.0275214	−	0.191415i
$219$	1.88527	+	0.754746i	0.127394	+	0.0510010i
$220$	20.4027	+	10.5183i	1.37555	+	0.709146i
$221$	−18.4895	−	3.56355i	−1.24374	−	0.239711i
$222$	1.46476	+	2.05697i	0.0983084	+	0.138055i
$223$	−10.5623	−	6.78797i	−0.707303	−	0.454556i	0.136897	−	0.990585i	$-0.456287\pi$
$223$	−10.5623	−	6.78797i	−0.707303	−	0.454556i	−0.844199	+	0.536029i	$0.819924\pi$
$224$	−0.880363	+	5.90269i	−0.0588217	+	0.394390i
$225$	0.612975	+	0.707411i	0.0408650	+	0.0471607i
$226$	−1.32902	+	1.26722i	−0.0884053	+	0.0842943i
$227$	−6.73877	+	9.46328i	−0.447268	+	0.628100i	−0.975237	−	0.221164i	$-0.929014\pi$
$227$	−6.73877	+	9.46328i	−0.447268	+	0.628100i	0.527969	+	0.849264i	$0.322954\pi$
$228$	−8.70136	+	3.48350i	−0.576262	+	0.230700i
$229$	11.7691	−	20.3847i	0.777723	−	1.34706i	−0.155528	−	0.987831i	$-0.549708\pi$
$229$	11.7691	−	20.3847i	0.777723	−	1.34706i	0.933251	−	0.359224i	$-0.116959\pi$
$230$	−2.24389	−	0.414205i	−0.147958	−	0.0273118i
$231$	−18.2810	+	1.64873i	−1.20280	+	0.108478i
$232$	0.153282	−	1.06610i	0.0100634	−	0.0699927i
$233$	−0.737572	−	0.0704296i	−0.0483199	−	0.00461400i	0.0708681	−	0.997486i	$-0.477423\pi$
$233$	−0.737572	−	0.0704296i	−0.0483199	−	0.00461400i	−0.119188	+	0.992872i	$0.538029\pi$
$234$	−0.125181	−	0.516004i	−0.00818336	−	0.0337323i
$235$	7.69810	−	22.2422i	0.502169	−	1.45092i
$236$	−4.38437	+	18.0726i	−0.285398	+	1.17643i
$237$	1.32220	+	0.849729i	0.0858863	+	0.0551958i
$238$	2.92875	−	0.548524i	0.189843	−	0.0355555i
$239$	−2.36021	+	2.72383i	−0.152669	+	0.176190i	−0.826932	−	0.562302i	$-0.809916\pi$
$239$	−2.36021	+	2.72383i	−0.152669	+	0.176190i	0.674263	+	0.738491i	$0.264461\pi$
$240$	−0.650061	−	13.6465i	−0.0419612	−	0.880875i
$241$	−6.06010	+	4.76572i	−0.390366	+	0.306987i	−0.793982	−	0.607941i	$-0.791996\pi$
$241$	−6.06010	+	4.76572i	−0.390366	+	0.306987i	0.403616	+	0.914928i	$0.367753\pi$
$242$	1.73287	−	1.36275i	0.111393	−	0.0876007i
$243$	0.408450	+	8.57443i	0.0262021	+	0.550050i
$244$	2.45633	−	2.83475i	0.157250	−	0.181476i
$245$	16.6315	−	4.69416i	1.06255	−	0.299899i
$246$	0.719161	+	0.462177i	0.0458520	+	0.0294673i
$247$	−2.47682	+	10.2096i	−0.157596	+	0.649620i
$248$	−0.921237	+	2.66174i	−0.0584986	+	0.169021i
$249$	1.53913	+	6.34436i	0.0975381	+	0.402058i
$250$	1.84965	+	0.176620i	0.116982	+	0.0111705i
$251$	2.96155	−	20.5980i	0.186931	−	1.30014i	−0.652965	−	0.757388i	$-0.726475\pi$
$251$	2.96155	−	20.5980i	0.186931	−	1.30014i	0.839896	−	0.542747i	$-0.182616\pi$
$252$	−2.55660	−	3.63047i	−0.161051	−	0.228698i
$253$	13.0316	−	18.6083i	0.819292	−	1.16989i
$254$	−1.38309	+	2.39558i	−0.0867826	+	0.150312i
$255$	−19.6153	+	7.85278i	−1.22836	+	0.491760i
$256$	7.60493	−	10.6796i	0.475308	−	0.667477i
$257$	1.92876	−	1.83907i	0.120313	−	0.114718i	−0.627535	−	0.778589i	$-0.715936\pi$
$257$	1.92876	−	1.83907i	0.120313	−	0.114718i	0.747847	+	0.663871i	$0.231087\pi$
$258$	−1.85896	−	2.14535i	−0.115734	−	0.133564i
$259$	22.0204	−	8.68167i	1.36828	−	0.539453i
$260$	−13.1357	−	8.44180i	−0.814641	−	0.523538i
$261$	0.699430	+	0.982212i	0.0432936	+	0.0607974i
$262$	−2.95196	−	0.568944i	−0.182373	−	0.0351495i
$263$	−1.24614	−	0.642431i	−0.0768405	−	0.0396140i	0.419378	−	0.907812i	$-0.362248\pi$
$263$	−1.24614	−	0.642431i	−0.0768405	−	0.0396140i	−0.496218	+	0.868198i	$0.665278\pi$
$264$	−4.91898	−	1.96926i	−0.302742	−	0.121200i
$265$	0.467655	+	3.25261i	0.0287278	+	0.199806i
$266$	−0.227942	−	1.64676i	−0.0139760	−	0.100969i
$267$	2.61981	−	3.02343i	0.160330	−	0.185031i
$268$	−14.3664	−	20.1748i	−0.877567	−	1.23237i
$269$	1.13762	−	23.8816i	0.0693619	−	1.45608i	−0.649198	−	0.760620i	$-0.724895\pi$
$269$	1.13762	−	23.8816i	0.0693619	−	1.45608i	0.718560	−	0.695465i	$-0.244802\pi$
$270$	−1.94415	−	1.85375i	−0.118317	−	0.112815i
$271$	27.5253	−	5.30507i	1.67204	−	0.322260i	0.736759	−	0.676155i	$-0.236355\pi$
$271$	27.5253	−	5.30507i	1.67204	−	0.322260i	0.935285	+	0.353895i	$0.115143\pi$
$272$	−21.1860	−	6.22078i	−1.28459	−	0.377190i
$273$	12.4857	+	0.0656151i	0.755671	+	0.00397121i
$274$	−0.286146	+	1.99019i	−0.0172867	+	0.120232i
$275$	2.59291	−	4.49104i	0.156358	−	0.270820i
$276$	−13.7343	−	1.20258i	−0.826706	−	0.0723869i
$277$	9.56922	+	16.5744i	0.574959	+	0.995858i	0.996046	+	0.0888378i	$0.0283153\pi$
$277$	9.56922	+	16.5744i	0.574959	+	0.995858i	−0.421087	+	0.907020i	$0.638351\pi$
$278$	0.558534	+	0.439236i	0.0334987	+	0.0263436i
$279$	−1.30993	−	2.86835i	−0.0784237	−	0.171724i
$280$	4.89333	+	0.969809i	0.292432	+	0.0579572i
$281$	17.3577	+	20.0318i	1.03547	+	1.19500i	0.980502	+	0.196510i	$0.0629607\pi$
$281$	17.3577	+	20.0318i	1.03547	+	1.19500i	0.0549696	+	0.998488i	$0.482494\pi$
$282$	−0.634428	+	2.61515i	−0.0377796	+	0.155730i
$283$	−0.275517	+	5.78382i	−0.0163778	+	0.343813i	0.975775	+	0.218778i	$0.0702071\pi$
$283$	−0.275517	+	5.78382i	−0.0163778	+	0.343813i	−0.992152	+	0.125034i	$0.960096\pi$
$284$	−5.04793	+	0.482019i	−0.299539	+	0.0286025i
$285$	3.85562	+	11.1401i	0.228387	+	0.659882i
$286$	−2.47469	+	1.59039i	−0.146332	+	0.0940415i
$287$	5.82835	−	5.49914i	0.344037	−	0.324604i
$288$	−0.274477	−	1.90903i	−0.0161737	−	0.112490i
$289$	0.815955	+	17.1290i	0.0479973	+	1.00759i
$290$	−0.658854	−	0.126984i	−0.0386893	−	0.00745674i
$291$	−16.6140	+	1.58644i	−0.973929	+	0.0929990i
$292$	2.41908	−	1.24712i	0.141566	−	0.0729825i
$293$	−3.16223	+	0.928514i	−0.184739	+	0.0542444i	−0.372794	−	0.927914i	$-0.621600\pi$
$293$	−3.16223	+	0.928514i	−0.184739	+	0.0542444i	0.188054	+	0.982159i	$0.439782\pi$
$294$	−1.84189	+	0.715014i	−0.107421	+	0.0417005i
$295$	22.4425	+	6.58970i	1.30665	+	0.383667i
$296$	6.80178	+	0.649491i	0.395345	+	0.0377509i
$297$	24.8289	−	9.94001i	1.44072	−	0.576778i
$298$	−0.760867	−	1.31786i	−0.0440758	−	0.0763416i
$299$	−10.0277	+	11.7581i	−0.579916	+	0.679987i
$300$	−3.14715			−0.181701
$301$	−23.7145	+	12.0683i	−1.36688	+	0.695607i
$302$	−1.17696	−	2.57718i	−0.0677263	−	0.148300i
$303$	14.1783	−	13.5189i	0.814520	−	0.776643i
$304$	−4.02928	+	11.6418i	−0.231095	+	0.667705i
$305$	−3.41433	−	3.25556i	−0.195504	−	0.186413i
$306$	−0.855891	+	0.441243i	−0.0489281	+	0.0252242i
$307$	12.0124	−	26.3034i	0.685583	−	1.50122i	−0.171035	−	0.985265i	$-0.554711\pi$
$307$	12.0124	−	26.3034i	0.685583	−	1.50122i	0.856618	−	0.515952i	$-0.172562\pi$
$308$	−14.3746	+	19.9634i	−0.819068	+	1.13752i
$309$	−13.1632	+	8.45951i	−0.748831	+	0.481244i
$310$	1.62901	+	0.652156i	0.0925214	+	0.0370400i
$311$	−5.52377	+	4.34394i	−0.313224	+	0.246322i	−0.762378	−	0.647132i	$-0.775968\pi$
$311$	−5.52377	+	4.34394i	−0.313224	+	0.246322i	0.449153	+	0.893455i	$0.351726\pi$
$312$	3.20358	+	1.65156i	0.181367	+	0.0935012i
$313$	6.99907	+	20.2225i	0.395611	+	1.14304i	0.950394	+	0.311048i	$0.100680\pi$
$313$	6.99907	+	20.2225i	0.395611	+	1.14304i	−0.554783	+	0.831995i	$0.687199\pi$
$314$	−1.16760	+	2.55668i	−0.0658914	+	0.144282i
$315$	−4.71400	+	2.99462i	−0.265604	+	0.168727i
$316$	2.02111	−	0.593452i	0.113696	−	0.0333843i
$317$	3.49482	−	0.673572i	0.196289	−	0.0378316i	−0.0901592	−	0.995927i	$-0.528738\pi$
$317$	3.49482	−	0.673572i	0.196289	−	0.0378316i	0.286448	+	0.958096i	$0.407525\pi$
$318$	−0.0885752	−	0.365112i	−0.00496705	−	0.0204745i
$319$	3.87496	−	5.44161i	0.216956	−	0.304672i
$320$	−13.8214	−	10.8693i	−0.772640	−	0.607610i
$321$	19.2795			1.07608
$322$	0.793782	−	2.31297i	0.0442357	−	0.128897i
$323$	19.0525			1.06011
$324$	−8.80056	−	6.92084i	−0.488920	−	0.384491i
$325$	−2.04619	+	2.87348i	−0.113502	+	0.159392i
$326$	0.404985	+	1.66937i	0.0224301	+	0.0924580i
$327$	−21.3061	+	4.10642i	−1.17823	+	0.227086i
$328$	2.21941	−	0.651678i	0.122547	−	0.0359829i
$329$	22.3591	+	11.6760i	1.23270	+	0.643721i
$330$	−1.37122	+	3.00255i	−0.0754830	+	0.165285i
$331$	−7.23861	−	20.9146i	−0.397870	−	1.14957i	−0.949034	−	0.315173i	$-0.897938\pi$
$331$	−7.23861	−	20.9146i	−0.397870	−	1.14957i	0.551165	−	0.834397i	$-0.314184\pi$
$332$	7.77686	+	4.00925i	0.426811	+	0.220036i
$333$	−6.01283	+	4.72854i	−0.329501	+	0.259123i
$334$	0.450521	+	0.180361i	0.0246514	+	0.00986893i
$335$	−26.2056	+	16.8413i	−1.43176	+	0.920138i
$336$	14.5676	+	1.46833i	0.794727	+	0.0801039i
$337$	−9.54951	+	20.9105i	−0.520195	+	1.13907i	0.449170	+	0.893446i	$0.351720\pi$
$337$	−9.54951	+	20.9105i	−0.520195	+	1.13907i	−0.969366	+	0.245622i	$0.921008\pi$
$338$	−0.448308	+	0.231119i	−0.0243847	+	0.0125712i
$339$	10.0997	+	9.63006i	0.548541	+	0.523033i
$340$	−9.26169	+	26.7599i	−0.502286	+	1.45126i
$341$	−12.6435	+	12.0556i	−0.684686	+	0.652847i
$342$	0.223183	+	0.488702i	0.0120683	+	0.0264260i
$343$	2.34638	+	18.3710i	0.126693	+	0.991942i
$344$	−7.68099			−0.414131
$345$	−2.33275	+	17.1825i	−0.125591	+	0.925077i
$346$	0.524170	+	0.907889i	0.0281796	+	0.0488084i
$347$	10.1780	−	4.07467i	0.546386	−	0.218740i	−0.0820130	−	0.996631i	$-0.526135\pi$
$347$	10.1780	−	4.07467i	0.546386	−	0.218740i	0.628399	+	0.777891i	$0.283711\pi$
$348$	−4.03576	−	0.385369i	−0.216340	−	0.0206579i
$349$	−2.84775	−	0.836175i	−0.152437	−	0.0447594i	0.204624	−	0.978841i	$-0.434403\pi$
$349$	−2.84775	−	0.836175i	−0.152437	−	0.0447594i	−0.357061	+	0.934081i	$0.616221\pi$
$350$	0.134453	−	0.541780i	0.00718681	−	0.0289594i
$351$	−17.4558	+	5.12548i	−0.931721	+	0.273578i
$352$	−9.49728	+	4.89619i	−0.506207	+	0.260968i
$353$	−14.3896	+	1.37404i	−0.765883	+	0.0731330i	−0.470683	−	0.882302i	$-0.655992\pi$
$353$	−14.3896	+	1.37404i	−0.765883	+	0.0731330i	−0.295200	+	0.955435i	$0.595386\pi$
$354$	−2.62589	−	0.506099i	−0.139565	−	0.0268989i
$355$	0.303470	+	6.37061i	0.0161065	+	0.338117i
$356$	−0.763043	−	5.30708i	−0.0404412	−	0.281275i
$357$	−5.22272	−	22.0331i	−0.276416	−	1.16611i
$358$	−0.411747	+	0.264614i	−0.0217615	+	0.0139853i
$359$	−0.416940	−	1.20467i	−0.0220052	−	0.0635799i	0.933463	−	0.358673i	$-0.116771\pi$
$359$	−0.416940	−	1.20467i	−0.0220052	−	0.0635799i	−0.955469	+	0.295093i	$0.904649\pi$
$360$	−1.60482	+	0.153242i	−0.0845817	+	0.00807657i
$361$	−0.398260	+	8.36051i	−0.0209611	+	0.440027i
$362$	0.184632	−	0.761065i	0.00970406	−	0.0400007i
$363$	−10.9709	−	12.6610i	−0.575820	−	0.664532i
$364$	11.0247	−	12.5889i	0.577850	−	0.659836i
$365$	−1.42201	−	3.11376i	−0.0744312	−	0.162982i
$366$	0.423981	+	0.333422i	0.0221618	+	0.0174283i
$367$	−13.5326	−	23.4392i	−0.706396	−	1.22351i	−0.966185	−	0.257849i	$-0.916986\pi$
$367$	−13.5326	−	23.4392i	−0.706396	−	1.22351i	0.259789	−	0.965665i	$-0.416347\pi$
$368$	−13.0162	+	12.6078i	−0.678516	+	0.657225i
$369$	−1.29479	+	2.24265i	−0.0674042	+	0.116747i
$370$	0.605778	−	4.21328i	0.0314929	−	0.219038i
$371$	−3.52160	−	0.0185068i	−0.182833	−	0.000960824i
$372$	10.1726	+	2.98695i	0.527425	+	0.154866i
$373$	19.0618	−	3.67386i	0.986982	−	0.190225i	0.329877	−	0.944024i	$-0.392993\pi$
$373$	19.0618	−	3.67386i	0.986982	−	0.190225i	0.657105	+	0.753799i	$0.271781\pi$
$374$	3.86099	+	3.68145i	0.199647	+	0.190363i
$375$	0.671862	−	14.1041i	0.0346948	−	0.728333i
$376$	4.22359	+	5.93120i	0.217815	+	0.305878i
$377$	−2.97581	+	3.43426i	−0.153262	+	0.176874i
$378$	2.27227	−	1.76768i	0.116873	−	0.0909198i
$379$	−3.75835	−	26.1399i	−0.193054	−	1.34272i	−0.823867	−	0.566783i	$-0.808188\pi$
$379$	−3.75835	−	26.1399i	−0.193054	−	1.34272i	0.630814	−	0.775934i	$-0.282721\pi$
$380$	14.6674	+	5.87195i	0.752423	+	0.301225i
$381$	18.6843	+	9.63244i	0.957227	+	0.493485i
$382$	−2.47864	−	0.477719i	−0.126818	−	0.0244422i
$383$	−17.4266	−	24.4723i	−0.890460	−	1.25048i	−0.967352	−	0.253436i	$-0.918439\pi$
$383$	−17.4266	−	24.4723i	−0.890460	−	1.25048i	0.0768924	−	0.997039i	$-0.475500\pi$
$384$	7.24956	+	4.65901i	0.369952	+	0.237754i
$385$	24.2200	+	19.2537i	1.23437	+	0.981258i
$386$	−0.0719176	−	0.0829974i	−0.00366051	−	0.00422446i
$387$	6.22343	−	5.93403i	0.316355	−	0.301644i
$388$	−12.9746	+	18.2202i	−0.658684	+	0.924992i
$389$	2.20857	−	0.884179i	0.111979	−	0.0448297i	−0.314996	−	0.949093i	$-0.602003\pi$
$389$	2.20857	−	0.884179i	0.111979	−	0.0448297i	0.426975	+	0.904263i	$0.359579\pi$
$390$	1.12267	−	1.94453i	0.0568488	−	0.0984651i
$391$	25.0100	+	12.6457i	1.26481	+	0.639519i
$392$	−1.80156	+	5.03346i	−0.0909924	+	0.254228i
$393$	−3.25130	+	22.6133i	−0.164007	+	1.14069i
$394$	−1.66026	−	0.158536i	−0.0836428	−	0.00798691i
$395$	−0.624606	−	2.57466i	−0.0314273	−	0.129545i
$396$	2.60018	−	7.51273i	0.130664	−	0.377529i
$397$	6.17447	−	25.4515i	0.309888	−	1.27737i	−0.577515	−	0.816380i	$-0.695978\pi$
$397$	6.17447	−	25.4515i	0.309888	−	1.27737i	0.887403	−	0.460995i	$-0.152507\pi$
$398$	0.635598	+	0.408474i	0.0318596	+	0.0204749i
$399$	−12.4177	+	2.32570i	−0.621662	+	0.116431i
$400$	−2.70887	+	3.12620i	−0.135444	+	0.156310i
$401$	−1.61294	−	33.8598i	−0.0805465	−	1.69088i	−0.572221	−	0.820100i	$-0.693918\pi$
$401$	−1.61294	−	33.8598i	−0.0805465	−	1.69088i	0.491674	−	0.870779i	$-0.336385\pi$
$402$	2.79954	−	2.20158i	0.139628	−	0.109805i
$403$	9.34117	−	7.34598i	0.465317	−	0.365929i
$404$	−1.24929	−	26.2258i	−0.0621545	−	1.30478i
$405$	−9.22140	+	10.6421i	−0.458215	+	0.528808i
$406$	0.238758	−	0.678291i	0.0118493	−	0.0336630i
$407$	35.6514	+	22.9118i	1.76717	+	1.13569i
$408$	1.54102	−	6.35217i	0.0762919	−	0.314479i
$409$	2.44372	−	7.06066i	0.120834	−	0.349127i	−0.868321	−	0.496003i	$-0.834800\pi$
$409$	2.44372	−	7.06066i	0.120834	−	0.349127i	0.989155	+	0.146876i	$0.0469217\pi$
$410$	−0.339730	−	1.40039i	−0.0167781	−	0.0691602i
$411$	15.2105	+	1.45242i	0.750277	+	0.0716427i
$412$	−2.98445	+	20.7573i	−0.147033	+	1.02264i
$413$	−10.5328	+	22.7466i	−0.518286	+	1.11928i
$414$	−0.0313955	+	0.789647i	−0.00154300	+	0.0388090i
$415$	5.50228	−	9.53022i	0.270096	−	0.467820i
$416$	6.74773	−	2.70138i	0.330835	−	0.132446i
$417$	3.13217	−	4.39851i	0.153383	−	0.215396i
$418$	2.15417	−	2.05400i	0.105364	−	0.100464i
$419$	−4.47604	−	5.16562i	−0.218669	−	0.252357i	0.635808	−	0.771848i	$-0.280667\pi$
$419$	−4.47604	−	5.16562i	−0.218669	−	0.252357i	−0.854476	+	0.519491i	$0.826122\pi$
$420$	2.76989	−	18.5716i	0.135157	−	0.906203i
$421$	−22.0258	−	14.1551i	−1.07347	−	0.689878i	−0.120431	−	0.992722i	$-0.538428\pi$
$421$	−22.0258	−	14.1551i	−1.07347	−	0.689878i	−0.953040	+	0.302844i	$0.902064\pi$
$422$	−2.77711	−	3.89990i	−0.135188	−	0.189844i
$423$	−8.00432	−	1.54271i	−0.389183	−	0.0750090i
$424$	−0.903571	−	0.465823i	−0.0438813	−	0.0226224i
$425$	5.93912	+	2.37767i	0.288090	+	0.115334i
$426$	−0.103775	−	0.721770i	−0.00502791	−	0.0349698i
$427$	3.99056	−	3.10441i	0.193117	−	0.150233i
$428$	16.9209	−	19.5277i	0.817900	−	0.943907i
$429$	12.9670	+	18.2097i	0.626055	+	0.879171i
$430$	−0.227682	+	4.77963i	−0.0109798	+	0.230494i
$431$	10.7169	+	10.2186i	0.516217	+	0.492212i	0.902811	−	0.430038i	$-0.141500\pi$
$431$	10.7169	+	10.2186i	0.516217	+	0.492212i	−0.386594	+	0.922250i	$0.626348\pi$
$432$	−20.9479	+	4.03738i	−1.00786	+	0.194248i
$433$	−11.4182	−	3.35268i	−0.548723	−	0.161120i	−0.00439257	−	0.999990i	$-0.501398\pi$
$433$	−11.4182	−	3.35268i	−0.548723	−	0.161120i	−0.544331	+	0.838871i	$0.683216\pi$
$434$	−0.948797	+	1.62360i	−0.0455437	+	0.0779353i
$435$	−0.725665	+	5.04711i	−0.0347930	+	0.241990i
$436$	−14.5403	+	25.1845i	−0.696352	+	1.20612i
$437$	7.71139	−	13.6024i	0.368886	−	0.650690i
$438$	0.195685	+	0.338936i	0.00935019	+	0.0161950i
$439$	2.13053	+	1.67546i	0.101684	+	0.0799656i	0.667707	−	0.744424i	$-0.267276\pi$
$439$	2.13053	+	1.67546i	0.101684	+	0.0799656i	−0.566022	+	0.824390i	$0.691518\pi$
$440$	3.71025	+	8.12432i	0.176879	+	0.387312i
$441$	−2.42896	−	5.47012i	−0.115665	−	0.260482i
$442$	−2.37645	−	2.74257i	−0.113036	−	0.130451i
$443$	−8.92325	+	36.7822i	−0.423957	+	1.74757i	0.213363	+	0.976973i	$0.431558\pi$
$443$	−8.92325	+	36.7822i	−0.423957	+	1.74757i	−0.637319	+	0.770600i	$0.719957\pi$
$444$	1.22375	−	25.6896i	0.0580765	−	1.21918i
$445$	−6.71301	+	0.641015i	−0.318227	+	0.0303870i
$446$	−0.791414	−	2.28664i	−0.0374745	−	0.108276i
$447$	−9.72841	+	6.25207i	−0.460138	+	0.295713i
$448$	13.7061	−	12.9319i	0.647554	−	0.610977i
$449$	−0.293147	−	2.03888i	−0.0138344	−	0.0962206i	0.981734	−	0.190257i	$-0.0609321\pi$
$449$	−0.293147	−	2.03888i	−0.0138344	−	0.0962206i	−0.995569	+	0.0940363i	$0.970023\pi$
$450$	0.00858363	+	0.180193i	0.000404636	+	0.00849436i
$451$	14.0875	+	2.71513i	0.663352	+	0.127851i
$452$	18.6182	−	1.77782i	0.875724	−	0.0836215i
$453$	−19.1371	+	9.86588i	−0.899141	+	0.463539i
$454$	−2.14826	+	0.630786i	−0.100823	+	0.0296042i
$455$	−15.1558	−	14.6038i	−0.710513	−	0.684638i
$456$	−3.49916	−	1.02745i	−0.163863	−	0.0481145i
$457$	0.762231	+	0.0727842i	0.0356557	+	0.00340470i	0.112869	−	0.993610i	$-0.463996\pi$
$457$	0.762231	+	0.0727842i	0.0356557	+	0.00340470i	−0.0772130	+	0.997015i	$0.524602\pi$
$458$	4.21141	−	1.68599i	0.196786	−	0.0787814i
$459$	16.4966	+	28.5729i	0.769994	+	1.33367i
$460$	15.3564	+	17.4432i	0.715995	+	0.813294i
$461$	−5.71999			−0.266406			−0.133203	−	0.991089i	$-0.542526\pi$
$461$	−5.71999			−0.266406			−0.133203	+	0.991089i	$0.542526\pi$
$462$	−2.96583	−	1.92812i	−0.137983	−	0.0897044i
$463$	−8.89154	−	19.4697i	−0.413225	−	0.904836i	−0.995756	−	0.0920279i	$-0.970665\pi$
$463$	−8.89154	−	19.4697i	−0.413225	−	0.904836i	0.582532	−	0.812808i	$-0.302062\pi$
$464$	−3.85654	+	3.67720i	−0.179035	+	0.170710i
$465$	4.36132	−	12.6012i	0.202251	−	0.584366i
$466$	−0.103345	−	0.0985392i	−0.00478736	−	0.00456474i
$467$	−4.31662	+	2.22537i	−0.199749	+	0.102978i	−0.555199	−	0.831717i	$-0.687358\pi$
$467$	−4.31662	+	2.22537i	−0.199749	+	0.102978i	0.355450	+	0.934695i	$0.384328\pi$
$468$	−2.24651	+	4.91916i	−0.103845	+	0.227388i
$469$	−13.7084	−	30.4395i	−0.632995	−	1.40557i
$470$	3.81599	−	2.45239i	0.176019	−	0.113120i
$471$	19.8293	+	7.93846i	0.913687	+	0.365785i
$472$	−5.68782	+	4.47295i	−0.261803	+	0.205884i
$473$	−42.3443	−	21.8300i	−1.94699	−	1.00374i
$474$	0.0990705	+	0.286245i	0.00455046	+	0.0131477i
$475$	1.48274	−	3.24675i	0.0680329	−	0.148971i
$476$	−26.9005	−	14.0476i	−1.23298	−	0.643870i
$477$	1.09198	−	0.320636i	0.0499985	−	0.0146809i
$478$	−0.682051	+	0.131455i	−0.0311963	+	0.00601259i
$479$	−2.65155	−	10.9298i	−0.121152	−	0.499396i	−0.999761	−	0.0218542i	$-0.993043\pi$
$479$	−2.65155	−	10.9298i	−0.121152	−	0.499396i	0.878609	−	0.477542i	$-0.158472\pi$
$480$	4.73084	−	6.64354i	0.215932	−	0.303235i
$481$	−22.6601	−	17.8201i	−1.03321	−	0.812526i
$482$	−1.48581			−0.0676768
$483$	−17.8442	−	5.18904i	−0.811939	−	0.236110i
$484$	−22.4527			−1.02058
$485$	22.1138	+	17.3905i	1.00414	+	0.789661i
$486$	−0.959628	+	1.34761i	−0.0435296	+	0.0611288i
$487$	−1.82639	−	7.52850i	−0.0827618	−	0.341149i	0.915344	−	0.402673i	$-0.131919\pi$
$487$	−1.82639	−	7.52850i	−0.0827618	−	0.341149i	−0.998106	+	0.0615245i	$0.980404\pi$
$488$	1.43308	−	0.276204i	0.0648726	−	0.0125032i
$489$	12.5253	−	3.67777i	0.566415	−	0.166315i
$490$	3.07876	+	1.27025i	0.139084	+	0.0573843i
$491$	9.31538	−	20.3978i	0.420397	−	0.920542i	−0.574391	−	0.818581i	$-0.694761\pi$
$491$	9.31538	−	20.3978i	0.420397	−	0.920542i	0.994788	−	0.101961i	$-0.0325116\pi$
$492$	−2.84768	−	8.22783i	−0.128383	−	0.370939i
$493$	7.32492	+	3.77626i	0.329898	+	0.170074i
$494$	−1.59152	+	1.25159i	−0.0716060	+	0.0563116i
$495$	−9.28272	−	3.71624i	−0.417227	−	0.167033i
$496$	11.7230	−	7.53392i	0.526379	−	0.338283i
$497$	−6.80063	−	0.685465i	−0.305050	−	0.0307473i
$498$	−0.522664	+	1.14448i	−0.0234212	+	0.0512852i
$499$	0.411207	−	0.211992i	0.0184082	−	0.00949006i	−0.448998	−	0.893533i	$-0.648219\pi$
$499$	0.411207	−	0.211992i	0.0184082	−	0.00949006i	0.467406	+	0.884043i	$0.345189\pi$
$500$	−13.6960	−	13.0591i	−0.612504	−	0.584022i
$501$	1.20617	−	3.48501i	0.0538878	−	0.155699i
$502$	2.90257	−	2.76759i	0.129548	−	0.123524i
$503$	−8.18930	−	17.9321i	−0.365143	−	0.799551i	−0.999645	−	0.0266306i	$-0.991522\pi$
$503$	−8.18930	−	17.9321i	−0.365143	−	0.799551i	0.634502	−	0.772921i	$-0.281205\pi$
$504$	0.0912754	−	1.72529i	0.00406573	−	0.0768506i
$505$	−33.0226			−1.46948
$506$	4.19105	−	1.26648i	0.186315	−	0.0563018i
$507$	1.91647	+	3.31942i	0.0851133	+	0.147421i
$508$	26.1549	−	10.4709i	1.16044	−	0.464569i
$509$	7.87402	+	0.751878i	0.349010	+	0.0333264i	0.268089	−	0.963394i	$-0.413608\pi$
$509$	7.87402	+	0.751878i	0.349010	+	0.0333264i	0.0809208	+	0.996721i	$0.474214\pi$
$510$	−3.90707	−	1.14722i	−0.173008	−	0.0507998i
$511$	3.52529	−	1.01503i	0.155950	−	0.0449022i
$512$	13.7157	−	4.02730i	0.606155	−	0.177983i
$513$	16.3616	−	8.43500i	0.722383	−	0.372414i
$514$	0.511285	−	0.0488218i	0.0225518	−	0.00215344i
$515$	25.8990	+	4.99162i	1.14125	+	0.219957i
$516$	1.37568	+	28.8790i	0.0605607	+	1.27133i
$517$	6.42713	+	44.7017i	0.282665	+	1.96598i
$518$	4.37018	+	1.30818i	0.192015	+	0.0574783i
$519$	6.70202	−	4.30713i	0.294186	−	0.189062i
$520$	−1.98710	−	5.74134i	−0.0871399	−	0.251774i
$521$	25.9067	−	2.47379i	1.13499	−	0.108379i	0.489399	−	0.872060i	$-0.337216\pi$
$521$	25.9067	−	2.47379i	1.13499	−	0.108379i	0.645593	+	0.763682i	$0.276610\pi$
$522$	−0.0110573	+	0.232122i	−0.000483966	+	0.0101597i
$523$	3.39654	−	14.0007i	0.148520	−	0.612208i	−0.848084	−	0.529862i	$-0.822244\pi$
$523$	3.39654	−	14.0007i	0.148520	−	0.612208i	0.996604	−	0.0823460i	$-0.0262413\pi$
$524$	20.0509	+	23.1400i	0.875927	+	1.01087i
$525$	−4.16113	−	0.824695i	−0.181607	−	0.0359926i
$526$	−0.112244	−	0.245780i	−0.00489407	−	0.0107165i
$527$	−16.9405	−	13.3222i	−0.737941	−	0.580324i
$528$	13.1070	+	22.7020i	0.570409	+	0.987978i
$529$	19.1509	−	12.7374i	0.832649	−	0.553801i
$530$	−0.316651	+	0.548455i	−0.0137544	+	0.0238234i
$531$	1.15286	−	8.01834i	0.0500300	−	0.347966i
$532$	−8.54287	+	14.6187i	−0.370380	+	0.633802i
$533$	−9.36384	−	2.74947i	−0.405593	−	0.119093i
$534$	0.757071	−	0.145913i	0.0327617	−	0.00631429i
$535$	−23.5202	−	22.4265i	−1.01687	−	0.969582i
$536$	0.458536	−	9.62586i	0.0198057	−	0.415774i
$537$	2.15750	+	3.02979i	0.0931031	+	0.130745i
$538$	3.01744	−	3.48231i	0.130091	−	0.150133i
$539$	−24.2373	+	22.6286i	−1.04397	+	0.974685i
$540$	3.89364	+	27.0808i	0.167555	+	1.16537i
$541$	−14.2389	−	5.70038i	−0.612177	−	0.245079i	0.0447920	−	0.998996i	$-0.485737\pi$
$541$	−14.2389	−	5.70038i	−0.612177	−	0.245079i	−0.656969	+	0.753918i	$0.728162\pi$
$542$	4.80185	+	2.47553i	0.206257	+	0.106333i
$543$	−5.84381	−	1.12630i	−0.250782	−	0.0483343i
$544$	−7.64600	−	10.7373i	−0.327819	−	0.460358i
$545$	30.7694	+	19.7743i	1.31801	+	0.847036i
$546$	1.88366	+	1.49741i	0.0806131	+	0.0640833i
$547$	0.436443	+	0.503682i	0.0186610	+	0.0215359i	0.765003	−	0.644026i	$-0.222737\pi$
$547$	0.436443	+	0.503682i	0.0186610	+	0.0215359i	−0.746342	+	0.665562i	$0.768192\pi$
$548$	14.8207	−	14.1315i	0.633110	−	0.603670i
$549$	−0.947755	+	1.33094i	−0.0404492	+	0.0568029i
$550$	0.927837	−	0.371450i	0.0395631	−	0.0158387i
$551$	2.29897	−	3.98193i	0.0979394	−	0.169636i
$552$	−3.91136	−	3.67120i	−0.166479	−	0.156257i
$553$	2.82781	−	0.255034i	0.120251	−	0.0108452i
$554$	−0.524918	+	3.65089i	−0.0223016	+	0.155111i
$555$	−32.2009	−	3.07482i	−1.36685	−	0.130519i
$556$	−1.70616	−	7.03289i	−0.0723573	−	0.298261i
$557$	−8.38410	+	24.2243i	−0.355246	+	1.02642i	0.615878	+	0.787841i	$0.288801\pi$
$557$	−8.38410	+	24.2243i	−0.355246	+	1.02642i	−0.971124	+	0.238574i	$0.923320\pi$
$558$	0.143275	−	0.590587i	0.00606531	−	0.0250016i
$559$	27.2621	+	17.5203i	1.15307	+	0.741031i
$560$	−16.0639	−	18.7368i	−0.678823	−	0.791773i
$561$	26.5488	−	30.6390i	1.12089	−	1.29358i
$562$	0.243063	+	5.10252i	0.0102530	+	0.215237i
$563$	−0.663702	+	0.521941i	−0.0279717	+	0.0219972i	−0.632047	−	0.774930i	$-0.717785\pi$
$563$	−0.663702	+	0.521941i	−0.0279717	+	0.0219972i	0.604075	+	0.796927i	$0.293543\pi$
$564$	21.5437	−	16.9421i	0.907152	−	0.713392i
$565$	−1.11928	−	23.4966i	−0.0470885	−	0.988509i
$566$	−0.730787	+	0.843374i	−0.0307173	+	0.0354496i
$567$	−9.82245	−	11.4568i	−0.412504	−	0.481141i
$568$	−1.65984	−	1.06671i	−0.0696452	−	0.0447583i
$569$	−9.02857	+	37.2163i	−0.378497	+	1.56019i	0.390296	+	0.920689i	$0.372373\pi$
$569$	−9.02857	+	37.2163i	−0.378497	+	1.56019i	−0.768793	+	0.639497i	$0.779142\pi$
$570$	−0.743069	+	2.14696i	−0.0311237	+	0.0899261i
$571$	−1.15578	−	4.76417i	−0.0483677	−	0.199374i	0.942501	−	0.334202i	$-0.108467\pi$
$571$	−1.15578	−	4.76417i	−0.0483677	−	0.199374i	−0.990869	+	0.134828i	$0.956952\pi$
$572$	29.8248	+	2.84792i	1.24704	+	0.119077i
$573$	−2.72999	+	18.9875i	−0.114047	+	0.793213i
$574$	1.53808	−	0.138716i	0.0641980	−	0.00578989i
$575$	4.10134	−	3.27784i	0.171038	−	0.136695i
$576$	−3.04487	+	5.27387i	−0.126870	+	0.219745i
$577$	−16.1356	+	6.45973i	−0.671734	+	0.268922i	−0.682354	−	0.731022i	$-0.739044\pi$
$577$	−16.1356	+	6.45973i	−0.671734	+	0.268922i	0.0106198	+	0.999944i	$0.496620\pi$
$578$	−1.91703	+	2.69210i	−0.0797381	+	0.111976i
$579$	−0.604007	+	0.575920i	−0.0251017	+	0.0239344i
$580$	4.47520	+	5.16465i	0.185823	+	0.214451i
$581$	9.23189	+	7.33889i	0.383003	+	0.304468i
$582$	−2.70587	−	1.73896i	−0.112162	−	0.0720820i
$583$	−3.65736	−	5.13604i	−0.151472	−	0.212713i
$584$	1.03983	+	0.200412i	0.0430287	+	0.00829309i
$585$	6.04555	+	3.11670i	0.249953	+	0.128860i
$586$	−0.589666	−	0.236067i	−0.0243589	−	0.00975183i
$587$	−1.27949	−	8.89907i	−0.0528103	−	0.367304i	−0.999040	−	0.0438083i	$-0.986051\pi$
$587$	−1.27949	−	8.89907i	−0.0528103	−	0.367304i	0.946230	−	0.323496i	$-0.104858\pi$
$588$	19.2475	+	5.87199i	0.793752	+	0.242157i
$589$	−7.87419	+	9.08730i	−0.324450	+	0.374435i
$590$	2.61477	+	3.67193i	0.107648	+	0.151171i
$591$	−0.603068	+	12.6599i	−0.0248069	+	0.520761i
$592$	−24.4653	−	23.3277i	−1.00552	−	0.958761i
$593$	−15.2741	+	2.94385i	−0.627234	+	0.120889i	−0.492956	−	0.870054i	$-0.664084\pi$
$593$	−15.2741	+	2.94385i	−0.627234	+	0.120889i	−0.134278	+	0.990944i	$0.542872\pi$
$594$	4.94555	+	1.45214i	0.202918	+	0.0595822i
$595$	−19.2580	+	32.9547i	−0.789502	+	1.35101i
$596$	−2.20568	+	15.3408i	−0.0903482	+	0.628386i
$597$	2.87079	−	4.97236i	0.117494	−	0.203505i
$598$	−2.91989	+	0.586607i	−0.119403	+	0.0239882i
$599$	12.5573	+	21.7499i	0.513078	+	0.888677i	0.999885	+	0.0151674i	$0.00482811\pi$
$599$	12.5573	+	21.7499i	0.513078	+	0.888677i	−0.486807	+	0.873509i	$0.661839\pi$
$600$	−0.962551	−	0.756958i	−0.0392960	−	0.0309027i
$601$	−1.68817	−	3.69658i	−0.0688619	−	0.150786i	0.872071	−	0.489379i	$-0.162776\pi$
$601$	−1.68817	−	3.69658i	−0.0688619	−	0.150786i	−0.940933	+	0.338592i	$0.890049\pi$
$602$	−5.03027	−	0.996951i	−0.205019	−	0.0406327i
$603$	7.06504	+	8.15349i	0.287711	+	0.332036i
$604$	−6.80301	+	28.0424i	−0.276810	+	1.14103i
$605$	−1.34369	+	28.2076i	−0.0546289	+	1.14680i
$606$	3.75844	−	0.358888i	0.152676	−	0.0145788i
$607$	7.48816	+	21.6356i	0.303935	+	0.878163i	0.988767	+	0.149462i	$0.0477542\pi$
$607$	7.48816	+	21.6356i	0.303935	+	0.878163i	−0.684832	+	0.728701i	$0.740125\pi$
$608$	−6.18688	+	3.97607i	−0.250911	+	0.161251i
$609$	−5.23507	−	1.56708i	−0.212136	−	0.0635014i
$610$	−0.129393	−	0.899949i	−0.00523898	−	0.0364379i
$611$	−1.46174	−	30.6856i	−0.0591355	−	1.24141i
$612$	9.63011	+	1.85605i	0.389274	+	0.0750264i
$613$	19.7751	−	1.88829i	0.798708	−	0.0762673i	0.312282	−	0.949989i	$-0.398907\pi$
$613$	19.7751	−	1.88829i	0.798708	−	0.0762673i	0.486426	+	0.873722i	$0.338300\pi$
$614$	4.95340	−	2.55365i	0.199903	−	0.103057i
$615$	−10.5071	+	3.08517i	−0.423689	+	0.124406i
$616$	−9.19809	+	2.64838i	−0.370601	+	0.106706i
$617$	−21.6043	−	6.34360i	−0.869757	−	0.255384i	−0.183745	−	0.982974i	$-0.558822\pi$
$617$	−21.6043	−	6.34360i	−0.869757	−	0.255384i	−0.686012	+	0.727590i	$0.740640\pi$
$618$	−3.00193	−	0.286649i	−0.120755	−	0.0115307i
$619$	7.05469	−	2.82427i	0.283552	−	0.113517i	−0.225527	−	0.974237i	$-0.572410\pi$
$619$	7.05469	−	2.82427i	0.283552	−	0.113517i	0.509079	+	0.860720i	$0.329986\pi$
$620$	−8.93567	−	15.4770i	−0.358865	−	0.621572i
$621$	27.0763	−	0.212875i	1.08653	−	0.00854240i
$622$	−1.35431			−0.0543029
$623$	0.381807	−	7.21693i	0.0152968	−	0.289140i
$624$	−7.40756	−	16.2203i	−0.296540	−	0.649332i
$625$	−21.1875	+	20.2023i	−0.847501	+	0.808090i
$626$	−1.34889	+	3.89735i	−0.0539123	+	0.155769i
$627$	−16.3703	−	15.6091i	−0.653767	−	0.623366i
$628$	25.4441	−	13.1173i	1.01533	−	0.523438i
$629$	−21.7179	+	47.5555i	−0.865949	+	1.89616i
$630$	−1.07089	−	0.107939i	−0.0426652	−	0.00430041i
$631$	−0.365417	+	0.234840i	−0.0145470	+	0.00934881i	−0.547894	−	0.836548i	$-0.684570\pi$
$631$	−0.365417	+	0.234840i	−0.0145470	+	0.00934881i	0.533347	+	0.845896i	$0.320934\pi$
$632$	0.760893	+	0.304616i	0.0302667	+	0.0121170i
$633$	−28.5990	+	22.4905i	−1.13671	+	0.893917i
$634$	0.609679	+	0.314311i	0.0242135	+	0.0124829i
$635$	−11.5894	−	33.4854i	−0.459911	−	1.32883i
$636$	−1.58957	+	3.48068i	−0.0630306	+	0.138018i
$637$	17.8756	−	13.7559i	0.708257	−	0.545030i
$638$	1.23530	−	0.362717i	0.0489060	−	0.0143601i
$639$	2.16896	−	0.418034i	0.0858029	−	0.0165372i
$640$	−3.42468	−	14.1167i	−0.135372	−	0.558012i
$641$	3.51235	−	4.93241i	0.138730	−	0.194818i	−0.739366	−	0.673304i	$-0.764875\pi$
$641$	3.51235	−	4.93241i	0.138730	−	0.194818i	0.878096	+	0.478485i	$0.158814\pi$
$642$	2.92067	+	2.29684i	0.115270	+	0.0906491i
$643$	−13.2114			−0.521006			−0.260503	−	0.965473i	$-0.583888\pi$
$643$	−13.2114			−0.521006			−0.260503	+	0.965473i	$0.583888\pi$
$644$	−20.9170	+	13.5197i	−0.824245	+	0.532751i
$645$	36.3633			1.43180
$646$	2.88628	+	2.26980i	0.113559	+	0.0893040i
$647$	−26.2769	+	36.9007i	−1.03305	+	1.45072i	−0.145864	+	0.989305i	$0.546596\pi$
$647$	−26.2769	+	36.9007i	−1.03305	+	1.45072i	−0.887186	+	0.461412i	$0.847343\pi$
$648$	−1.02703	−	4.23346i	−0.0403454	−	0.166306i
$649$	−44.0687	+	8.49354i	−1.72985	+	0.333401i
$650$	−0.652308	+	0.191535i	−0.0255856	+	0.00751262i
$651$	12.6674	+	6.61499i	0.496475	+	0.259262i
$652$	7.26787	−	15.9144i	0.284632	−	0.623257i
$653$	2.57209	+	7.43157i	0.100654	+	0.290820i	0.984073	−	0.177763i	$-0.0568860\pi$
$653$	2.57209	+	7.43157i	0.100654	+	0.290820i	−0.883420	+	0.468583i	$0.844765\pi$
$654$	−3.71690	−	1.91620i	−0.145342	−	0.0749292i
$655$	30.2709	−	23.8053i	1.18278	−	0.930151i
$656$	−10.6242	−	4.25328i	−0.414804	−	0.166063i
$657$	−0.997344	+	0.640954i	−0.0389101	+	0.0250060i
$658$	1.99619	+	4.43254i	0.0778194	+	0.172798i
$659$	9.61415	−	21.0521i	0.374514	−	0.820072i	−0.624716	−	0.780852i	$-0.714785\pi$
$659$	9.61415	−	21.0521i	0.374514	−	0.820072i	0.999231	−	0.0392200i	$-0.0124873\pi$
$660$	29.8813	−	15.4049i	1.16313	−	0.599634i
$661$	20.2192	+	19.2790i	0.786435	+	0.749864i	0.972558	−	0.232662i	$-0.0747436\pi$
$661$	20.2192	+	19.2790i	0.786435	+	0.749864i	−0.186122	+	0.982527i	$0.559592\pi$
$662$	1.39505	−	4.03073i	0.0542202	−	0.156659i
$663$	−19.9588	+	19.0307i	−0.775137	+	0.739091i
$664$	1.41423	+	3.09673i	0.0548828	+	0.120176i
$665$	17.8544	+	11.6074i	0.692364	+	0.450114i
$666$	−1.47422			−0.0571248
$667$	5.66075	−	3.70115i	0.219185	−	0.143309i
$668$	−2.47126	−	4.28035i	−0.0956160	−	0.165612i
$669$	−17.0711	+	6.83425i	−0.660008	+	0.264227i
$670$	−5.97627	−	0.570665i	−0.230884	−	0.0220467i
$671$	8.68540	+	2.55026i	0.335296	+	0.0984518i
$672$	6.29405	+	6.06483i	0.242798	+	0.233956i
$673$	−22.6824	+	6.66014i	−0.874341	+	0.256730i	−0.687961	−	0.725748i	$-0.741494\pi$
$673$	−22.6824	+	6.66014i	−0.874341	+	0.256730i	−0.186380	+	0.982478i	$0.559676\pi$
$674$	−3.93782	+	2.03008i	−0.151679	+	0.0781959i
$675$	6.15296	−	0.587537i	0.236828	−	0.0226143i
$676$	5.04416	+	0.972182i	0.194006	+	0.0373916i
$677$	−1.65680	−	34.7805i	−0.0636760	−	1.33672i	−0.774151	−	0.633001i	$-0.781823\pi$
$677$	−1.65680	−	34.7805i	−0.0636760	−	1.33672i	0.710475	−	0.703723i	$-0.248480\pi$
$678$	0.382750	+	2.66209i	0.0146994	+	0.102237i
$679$	−21.9294	+	20.6907i	−0.841572	+	0.794036i
$680$	−9.26902	+	5.95684i	−0.355451	+	0.228434i
$681$	5.56493	+	16.0788i	0.213248	+	0.616141i
$682$	−3.35161	+	0.320040i	−0.128340	+	0.0122550i
$683$	1.18298	−	24.8338i	0.0452655	−	0.950240i	−0.856001	−	0.516974i	$-0.827058\pi$
$683$	1.18298	−	24.8338i	0.0452655	−	0.950240i	0.901266	−	0.433266i	$-0.142639\pi$
$684$	1.29003	−	5.31759i	0.0493256	−	0.203323i
$685$	−16.8667	−	19.4652i	−0.644442	−	0.743726i
$686$	−1.83315	+	3.06258i	−0.0699902	+	0.116930i
$687$	−14.3208	−	31.3581i	−0.546371	−	1.19639i
$688$	29.8709	+	23.4907i	1.13882	+	0.895575i
$689$	2.14450	+	3.71439i	0.0816991	+	0.141507i
$690$	−2.40041	+	2.32509i	−0.0913822	+	0.0885147i
$691$	−17.0517	+	29.5343i	−0.648676	+	1.12354i	0.334764	+	0.942302i	$0.391344\pi$
$691$	−17.0517	+	29.5343i	−0.648676	+	1.12354i	−0.983439	+	0.181237i	$0.941990\pi$
$692$	1.51952	−	10.5685i	0.0577635	−	0.401754i
$693$	5.40661	−	9.25190i	0.205380	−	0.351450i
$694$	2.02731	+	0.595272i	0.0769557	+	0.0225962i
$695$	−8.93760	+	1.72258i	−0.339023	+	0.0653412i
$696$	−1.14164	−	1.08855i	−0.0432739	−	0.0412615i
$697$	−0.842132	+	17.6785i	−0.0318980	+	0.669622i
$698$	−0.331792	−	0.465936i	−0.0125585	−	0.0176359i
$699$	−0.710617	+	0.820096i	−0.0268780	+	0.0310189i
$700$	−4.48737	+	3.49090i	−0.169607	+	0.131943i
$701$	6.27892	+	43.6709i	0.237152	+	1.64943i	0.665929	+	0.746015i	$0.268035\pi$
$701$	6.27892	+	43.6709i	0.237152	+	1.64943i	−0.428777	+	0.903410i	$0.641056\pi$
$702$	−3.25501	−	1.30311i	−0.122853	−	0.0491827i
$703$	25.9262	+	13.3659i	0.977824	+	0.504103i
$704$	33.1285	+	6.38499i	1.24858	+	0.240643i
$705$	−19.9953	−	28.0795i	−0.753066	−	1.05753i
$706$	−2.34360	−	1.50614i	−0.0882024	−	0.0566842i
$707$	5.22055	−	35.0029i	0.196339	−	1.31642i
$708$	17.8361	+	20.5839i	0.670321	+	0.773592i
$709$	−18.1928	+	17.3468i	−0.683246	+	0.651474i	−0.949985	−	0.312295i	$-0.898902\pi$
$709$	−18.1928	+	17.3468i	−0.683246	+	0.651474i	0.266739	+	0.963769i	$0.414054\pi$
$710$	−0.712983	+	1.00124i	−0.0267578	+	0.0375760i
$711$	−0.851838	+	0.341025i	−0.0319464	+	0.0127894i
$712$	1.04309	−	1.80669i	0.0390916	−	0.0677086i
$713$	−16.3678	+	6.70248i	−0.612981	+	0.251010i
$714$	1.83369	−	3.96002i	0.0686241	−	0.148200i
$715$	5.36275	−	37.2987i	0.200555	−	1.39489i
$716$	4.96234	+	0.473846i	0.185452	+	0.0177085i
$717$	1.24446	+	5.12974i	0.0464753	+	0.191574i
$718$	0.0803541	−	0.232168i	0.00299879	−	0.00866443i
$719$	−8.82615	+	36.3819i	−0.329160	+	1.35682i	0.531251	+	0.847214i	$0.321722\pi$
$719$	−8.82615	+	36.3819i	−0.329160	+	1.35682i	−0.860411	+	0.509601i	$0.829793\pi$
$720$	6.70972	+	4.31208i	0.250057	+	0.160702i
$721$	−9.38535	+	26.6630i	−0.349529	+	0.992983i
$722$	−1.05635	+	1.21910i	−0.0393134	+	0.0453701i
$723$	0.537256	+	11.2784i	0.0199808	+	0.419448i
$724$	−6.26968	+	4.93053i	−0.233011	+	0.183242i
$725$	1.21357	−	0.954363i	0.0450709	−	0.0354442i
$726$	−0.153627	−	3.22503i	−0.00570164	−	0.119692i
$727$	−8.50390	+	9.81402i	−0.315392	+	0.363982i	−0.891206	−	0.453599i	$-0.850140\pi$
$727$	−8.50390	+	9.81402i	−0.315392	+	0.363982i	0.575814	+	0.817581i	$0.304685\pi$
$728$	6.39978	−	1.19861i	0.237192	−	0.0444235i
$729$	24.9716	+	16.0482i	0.924873	+	0.594379i
$730$	0.155533	−	0.641115i	0.00575653	−	0.0237287i
$731$	19.2219	−	55.5381i	0.710949	−	2.05415i
$732$	−1.29514	−	5.33864i	−0.0478697	−	0.197322i
$733$	38.5321	+	3.67937i	1.42322	+	0.135901i	0.778080	−	0.628166i	$-0.216194\pi$
$733$	38.5321	+	3.67937i	1.42322	+	0.135901i	0.645138	+	0.764066i	$0.276800\pi$
$734$	0.742329	−	5.16301i	0.0273999	−	0.190570i
$735$	8.52893	−	23.8294i	0.314594	−	0.878961i
$736$	−10.7605	+	1.11294i	−0.396636	+	0.0410234i
$737$	29.8853	−	51.7629i	1.10084	−	1.90671i
$738$	−0.463324	+	0.185487i	−0.0170552	+	0.00682787i
$739$	−20.5321	+	28.8332i	−0.755284	+	1.06065i	0.240655	+	0.970611i	$0.422638\pi$
$739$	−20.5321	+	28.8332i	−0.755284	+	1.06065i	−0.995938	+	0.0900369i	$0.971302\pi$
$740$	−31.3759	+	29.9168i	−1.15340	+	1.09977i
$741$	10.0760	+	11.6283i	0.370150	+	0.427176i
$742$	−0.531286	−	0.422346i	−0.0195041	−	0.0155048i
$743$	26.3596	+	16.9403i	0.967038	+	0.621478i	0.925937	−	0.377677i	$-0.123277\pi$
$743$	26.3596	+	16.9403i	0.967038	+	0.621478i	0.0411010	+	0.999155i	$0.486913\pi$
$744$	2.39285	+	3.36029i	0.0877261	+	0.123194i
$745$	19.1409	+	3.68910i	0.701267	+	0.135158i
$746$	3.32537	+	1.71435i	0.121750	+	0.0627667i
$747$	−3.53828	−	1.41651i	−0.129459	−	0.0518275i
$748$	−7.73257	−	53.7812i	−0.282731	−	1.96644i
$749$	27.4897	−	21.3853i	1.00445	−	0.781403i
$750$	1.78206	−	2.05660i	0.0650715	−	0.0750966i
$751$	−16.9006	−	23.7336i	−0.616711	−	0.866050i	0.381589	−	0.924332i	$-0.375377\pi$
$751$	−16.9006	−	23.7336i	−0.616711	−	0.866050i	−0.998300	+	0.0582823i	$0.981438\pi$
$752$	1.71408	−	35.9830i	0.0625062	−	1.31217i
$753$	−22.0576	−	21.0319i	−0.803825	−	0.766446i
$754$	−0.859945	+	0.165741i	−0.0313174	+	0.00603592i
$755$	34.8228	+	10.2249i	1.26733	+	0.372122i
$756$	−29.3204	−	0.154085i	−1.06637	−	0.00560402i
$757$	−0.600700	+	4.17796i	−0.0218328	+	0.151850i	−0.997822	−	0.0659703i	$-0.978986\pi$
$757$	−0.600700	+	4.17796i	−0.0218328	+	0.151850i	0.975989	+	0.217821i	$0.0698948\pi$
$758$	2.54479	−	4.40771i	0.0924310	−	0.160095i
$759$	−11.1290	−	31.3553i	−0.403956	−	1.13812i
$760$	3.07368	+	5.32376i	0.111494	+	0.193113i
$761$	16.7447	+	13.1682i	0.606996	+	0.477347i	0.873722	−	0.486425i	$-0.161699\pi$
$761$	16.7447	+	13.1682i	0.606996	+	0.477347i	−0.266726	+	0.963772i	$0.585942\pi$
$762$	1.68296	+	3.68516i	0.0609671	+	0.133499i
$763$	−25.8245	+	29.4885i	−0.934908	+	1.06755i
$764$	16.8359	+	19.4297i	0.609102	+	0.702941i
$765$	2.90810	−	11.9873i	0.105142	−	0.433403i
$766$	0.275499	−	5.78343i	0.00995418	−	0.208964i
$767$	30.3906	−	2.90195i	1.09734	−	0.104783i
$768$	−6.28021	−	18.1455i	−0.226618	−	0.654769i
$769$	7.94474	−	5.10577i	0.286494	−	0.184119i	−0.389498	−	0.921027i	$-0.627352\pi$
$769$	7.94474	−	5.10577i	0.286494	−	0.184119i	0.675993	+	0.736908i	$0.263715\pi$
$770$	1.37535	+	5.80218i	0.0495641	+	0.209096i
$771$	−0.555470	−	3.86338i	−0.0200048	−	0.139136i
$772$	0.0532209	+	1.11724i	0.00191546	+	0.0402105i
$773$	4.74357	+	0.914249i	0.170615	+	0.0328833i	0.273843	−	0.961774i	$-0.411705\pi$
$773$	4.74357	+	0.914249i	0.170615	+	0.0328833i	−0.103228	+	0.994658i	$0.532917\pi$
$774$	1.64974	−	0.157531i	0.0592986	−	0.00566233i
$775$	−3.58863	+	1.85007i	−0.128907	+	0.0664563i
$776$	−8.35062	+	2.45196i	−0.299770	+	0.0880203i
$777$	8.34988	−	33.6459i	0.299550	−	1.20704i
$778$	0.439915	+	0.129171i	0.0157717	+	0.00463099i
$779$	9.82989	+	0.938641i	0.352192	+	0.0336303i
$780$	−21.2304	+	8.49936i	−0.760170	+	0.304326i
$781$	−6.11878	−	10.5980i	−0.218947	−	0.379228i
$782$	2.28226	+	4.89524i	0.0816136	+	0.175054i
$783$	7.96223			0.284547
$784$	22.3999	−	14.0651i	0.799998	−	0.502326i
$785$	−14.9567	−	32.7507i	−0.533829	−	1.16892i
$786$	−3.18655	+	3.03837i	−0.113661	+	0.108375i
$787$	14.8527	−	42.9141i	0.529442	−	1.52972i	−0.290269	−	0.956945i	$-0.593745\pi$
$787$	14.8527	−	42.9141i	0.529442	−	1.52972i	0.819711	−	0.572777i	$-0.194134\pi$
$788$	12.2936	+	11.7220i	0.437943	+	0.417577i
$789$	−1.82507	+	0.940888i	−0.0649742	+	0.0334965i
$790$	0.212107	−	0.464450i	0.00754643	−	0.0165244i
$791$	25.0826	+	2.52818i	0.891835	+	0.0898918i
$792$	2.60224	−	1.67236i	0.0924665	−	0.0594246i
$793$	−5.71647	−	2.28853i	−0.202998	−	0.0812680i
$794$	3.96751	−	3.12009i	0.140802	−	0.110728i
$795$	4.27768	+	2.20530i	0.151714	+	0.0782139i
$796$	−2.51679	−	7.27179i	−0.0892054	−	0.257742i
$797$	13.0183	−	28.5061i	0.461133	−	1.00974i	−0.526095	−	0.850426i	$-0.676345\pi$
$797$	13.0183	−	28.5061i	0.461133	−	1.00974i	0.987228	−	0.159314i	$-0.0509282\pi$
$798$	−2.15824	−	1.12704i	−0.0764008	−	0.0398969i
$799$	−53.4558	+	15.6960i	−1.89113	+	0.555286i
$800$	−2.42479	+	0.467341i	−0.0857294	+	0.0165230i
$801$	0.550624	+	2.26970i	0.0194554	+	0.0801961i
$802$	3.78950	−	5.32161i	0.133812	−	0.187913i
$803$	5.16289	+	4.06014i	0.182194	+	0.143279i
$804$	−36.2734			−1.27927
$805$	15.7332	+	27.0873i	0.554521	+	0.954703i
$806$	2.29026			0.0806709
$807$	−27.5244	−	21.6455i	−0.968906	−	0.761956i
$808$	5.92579	−	8.32161i	0.208469	−	0.292753i
$809$	−5.03371	−	20.7492i	−0.176976	−	0.729505i	−0.989251	−	0.146230i	$-0.953286\pi$
$809$	−5.03371	−	20.7492i	−0.176976	−	0.729505i	0.812275	−	0.583275i	$-0.198229\pi$
$810$	−2.66479	+	0.513596i	−0.0936311	+	0.0180459i
$811$	−38.4093	+	11.2780i	−1.34873	+	0.396024i	−0.874777	−	0.484525i	$-0.838992\pi$
$811$	−38.4093	+	11.2780i	−1.34873	+	0.396024i	−0.473955	+	0.880549i	$0.657174\pi$
$812$	−6.18186	+	3.92709i	−0.216941	+	0.137814i
$813$	17.0548	−	37.3448i	0.598137	−	1.30974i
$814$	2.67130	+	7.71821i	0.0936290	+	0.270523i
$815$	−19.5585	−	10.0831i	−0.685105	−	0.353196i
$816$	−25.4197	+	19.9903i	−0.889869	+	0.699800i
$817$	−30.4411	−	12.1868i	−1.06500	−	0.426362i
$818$	1.21137	−	0.778497i	0.0423544	−	0.0272195i
$819$	−4.25935	+	5.91538i	−0.148834	+	0.206700i
$820$	−6.09680	+	13.3501i	−0.212910	+	0.466207i
$821$	49.8758	−	25.7127i	1.74068	−	0.897381i	0.777341	−	0.629079i	$-0.216568\pi$
$821$	49.8758	−	25.7127i	1.74068	−	0.897381i	0.963335	−	0.268302i	$-0.0864625\pi$
$822$	2.13122	+	2.03211i	0.0743347	+	0.0708780i
$823$	−3.21138	+	9.27868i	−0.111942	+	0.323435i	−0.987032	−	0.160526i	$-0.948681\pi$
$823$	−3.21138	+	9.27868i	−0.111942	+	0.323435i	0.875090	+	0.483961i	$0.160802\pi$
$824$	−5.90537	+	5.63076i	−0.205723	+	0.196157i
$825$	−3.15508	−	6.90866i	−0.109846	−	0.240529i
$826$	−4.30551	+	2.19108i	−0.149808	+	0.0762375i
$827$	−48.3358			−1.68080			−0.840401	−	0.541965i	$-0.817680\pi$
$827$	−48.3358			−1.68080			−0.840401	+	0.541965i	$0.817680\pi$
$828$	5.22284	−	6.12411i	0.181506	−	0.212828i
$829$	−11.4489	−	19.8301i	−0.397638	−	0.688729i	0.595796	−	0.803136i	$-0.296837\pi$
$829$	−11.4489	−	19.8301i	−0.397638	−	0.688729i	−0.993434	+	0.114407i	$0.963503\pi$
$830$	1.96892	−	0.788236i	0.0683421	−	0.0273601i
$831$	27.9028	+	2.66439i	0.967936	+	0.0924267i
$832$	−22.0203	−	6.46574i	−0.763416	−	0.224159i
$833$	−31.8865	−	25.6227i	−1.10480	−	0.887775i
$834$	0.998507	−	0.293188i	0.0345755	−	0.0101523i
$835$	−5.52534	+	2.84851i	−0.191212	+	0.0985768i
$836$	−30.1776	+	2.88161i	−1.04371	+	0.0996625i
$837$	−20.4460	−	3.94064i	−0.706717	−	0.136209i
$838$	−0.0626789	−	1.31579i	−0.00216521	−	0.0454533i
$839$	0.903364	+	6.28304i	0.0311876	+	0.216915i	0.999455	−	0.0330007i	$-0.0105063\pi$
$839$	0.903364	+	6.28304i	0.0311876	+	0.216915i	−0.968268	+	0.249915i	$0.919597\pi$
$840$	5.31405	−	5.01389i	0.183352	−	0.172996i
$841$	−22.7233	+	14.6034i	−0.783561	+	0.503564i
$842$	−1.65036	−	4.76839i	−0.0568750	−	0.164330i
$843$	38.6441	−	3.69006i	1.33097	−	0.127092i
$844$	−2.32016	+	48.7062i	−0.0798632	+	1.67654i
$845$	1.52323	−	6.27885i	0.0524008	−	0.215999i
$846$	−1.02879	−	1.18729i	−0.0353707	−	0.0408199i
$847$	−29.6868	−	5.88362i	−1.02005	−	0.202164i
$848$	2.08931	+	4.57494i	0.0717471	+	0.157104i
$849$	6.66608	+	5.24226i	0.228779	+	0.179914i
$850$	0.616463	+	1.06775i	0.0211445	+	0.0366234i
$851$	25.1617	+	34.7531i	0.862532	+	1.19132i
$852$	−3.71335	+	6.43171i	−0.127217	+	0.220347i
$853$	−3.90355	+	27.1498i	−0.133655	+	0.929591i	0.807078	+	0.590444i	$0.201047\pi$
$853$	−3.90355	+	27.1498i	−0.133655	+	0.929591i	−0.940733	+	0.339147i	$0.889862\pi$
$854$	0.974375	+	0.00512055i	0.0333424	+	0.000175222i
$855$	−6.60334	−	1.93892i	−0.225830	−	0.0663095i
$856$	9.87206	−	1.90268i	0.337420	−	0.0650324i
$857$	39.7499	+	37.9014i	1.35783	+	1.29469i	0.917986	+	0.396614i	$0.129815\pi$
$857$	39.7499	+	37.9014i	1.35783	+	1.29469i	0.439844	+	0.898074i	$0.355034\pi$
$858$	−0.204997	+	4.30342i	−0.00699848	+	0.146916i
$859$	32.6568	+	45.8601i	1.11424	+	1.56472i	0.783928	+	0.620851i	$0.213213\pi$
$859$	32.6568	+	45.8601i	1.11424	+	1.56472i	0.330307	+	0.943874i	$0.392848\pi$
$860$	31.9146	−	36.8314i	1.08828	−	1.25594i
$861$	−1.60911	−	11.6250i	−0.0548384	−	0.396178i
$862$	0.406141	+	2.82477i	0.0138332	+	0.0962121i
$863$	−17.8183	−	7.13339i	−0.606543	−	0.242823i	0.0480007	−	0.998847i	$-0.484715\pi$
$863$	−17.8183	−	7.13339i	−0.606543	−	0.242823i	−0.654544	+	0.756024i	$0.727139\pi$
$864$	−11.3198	−	5.83575i	−0.385107	−	0.198536i
$865$	−13.1864	−	2.54146i	−0.448350	−	0.0864124i
$866$	−1.33034	−	1.86819i	−0.0452066	−	0.0634838i
$867$	21.1282	+	13.5783i	0.717551	+	0.461142i
$868$	17.8178	−	7.02477i	0.604776	−	0.238436i
$869$	3.32896	+	3.84182i	0.112927	+	0.130325i
$870$	−0.711213	+	0.678141i	−0.0241124	+	0.0229911i
$871$	−23.5840	+	33.1192i	−0.799115	+	1.12220i
$872$	−10.5045	+	4.20538i	−0.355728	+	0.142412i
$873$	4.87170	−	8.43803i	0.164882	−	0.285584i
$874$	2.78871	−	1.14195i	0.0943295	−	0.0386270i
$875$	−14.6867	−	20.8556i	−0.496500	−	0.705049i
$876$	0.567272	−	3.94546i	0.0191663	−	0.133305i
$877$	46.4041	+	4.43105i	1.56695	+	0.149626i	0.842117	−	0.539295i	$-0.181309\pi$
$877$	46.4041	+	4.43105i	1.56695	+	0.149626i	0.724837	+	0.688921i	$0.241915\pi$
$878$	0.123151	+	0.507635i	0.00415615	+	0.0171319i
$879$	−1.57870	+	4.56137i	−0.0532484	+	0.153851i
$880$	10.4176	−	42.9420i	0.351178	−	1.44757i
$881$	−40.6268	−	26.1093i	−1.36875	−	0.879644i	−0.369974	−	0.929042i	$-0.620633\pi$
$881$	−40.6268	−	26.1093i	−1.36875	−	0.879644i	−0.998779	+	0.0493978i	$0.984270\pi$
$882$	0.283710	−	1.11805i	0.00955300	−	0.0376465i
$883$	23.4393	−	27.0504i	0.788797	−	0.910320i	−0.208915	−	0.977934i	$-0.566993\pi$
$883$	23.4393	−	27.0504i	0.788797	−	0.910320i	0.997712	+	0.0676140i	$0.0215387\pi$
$884$	1.75863	+	36.9183i	0.0591493	+	1.24170i
$885$	26.9272	−	21.1758i	0.905149	−	0.711817i
$886$	−5.73379	+	4.50910i	−0.192630	+	0.151486i
$887$	−1.68843	−	35.4446i	−0.0566920	−	1.19011i	−0.830621	−	0.556839i	$-0.812014\pi$
$887$	−1.68843	−	35.4446i	−0.0566920	−	1.19011i	0.773929	−	0.633273i	$-0.218289\pi$
$888$	6.55321	−	7.56280i	0.219911	−	0.253791i
$889$	37.3256	−	6.99069i	1.25186	−	0.234460i
$890$	−1.09333	−	0.702639i	−0.0366484	−	0.0235525i
$891$	6.36997	−	26.2574i	0.213402	−	0.879656i
$892$	−8.06042	+	23.2891i	−0.269883	+	0.779775i
$893$	7.32829	+	30.2076i	0.245232	+	1.01086i
$894$	−2.21860	−	0.211851i	−0.0742011	−	0.00708535i
$895$	0.892272	−	6.20589i	0.0298254	−	0.207440i
$896$	15.5047	−	1.39834i	0.517975	−	0.0467151i
$897$	5.50859	+	21.9520i	0.183927	+	0.732956i
$898$	0.198490	−	0.343795i	0.00662371	−	0.0114726i
$899$	−4.82844	+	1.93301i	−0.161037	+	0.0644696i
$900$	1.06575	−	1.49663i	0.0355248	−	0.0498877i
$901$	5.62940	−	5.36762i	0.187542	−	0.178821i
$902$	1.81066	+	2.08961i	0.0602883	+	0.0695764i
$903$	−5.74869	+	38.5440i	−0.191305	+	1.28266i
$904$	6.12194	+	3.93433i	0.203613	+	0.130854i
$905$	5.81907	+	8.17174i	0.193432	+	0.271638i
$906$	−4.07446	−	0.785288i	−0.135365	−	0.0260895i
$907$	0.259530	+	0.133797i	0.00861756	+	0.00444266i	0.462530	−	0.886604i	$-0.346942\pi$
$907$	0.259530	+	0.133797i	0.00861756	+	0.00444266i	−0.453912	+	0.891046i	$0.649972\pi$
$908$	21.1699	+	8.47515i	0.702548	+	0.281258i
$909$	1.62765	+	11.3205i	0.0539856	+	0.375478i
$910$	−0.556153	−	4.01791i	−0.0184363	−	0.133192i
$911$	−4.08774	+	4.71751i	−0.135433	+	0.156298i	−0.819415	−	0.573201i	$-0.805701\pi$
$911$	−4.08774	+	4.71751i	−0.135433	+	0.156298i	0.683982	+	0.729499i	$0.260247\pi$
$912$	10.4658	+	14.6971i	0.346556	+	0.486670i
$913$	−1.00470	+	21.0912i	−0.0332507	+	0.698018i
$914$	0.106800	+	0.101834i	0.00353263	+	0.00336836i
$915$	−6.78450	+	1.30760i	−0.224289	+	0.0432281i
$916$	−44.3306	−	13.0166i	−1.46472	−	0.430082i
$917$	20.4474	+	35.8497i	0.675232	+	1.18386i
$918$	−0.904917	+	6.29383i	−0.0298667	+	0.207727i
$919$	−3.16940	+	5.48957i	−0.104549	+	0.181084i	−0.913554	−	0.406718i	$-0.866673\pi$
$919$	−3.16940	+	5.48957i	−0.104549	+	0.181084i	0.809005	+	0.587802i	$0.200007\pi$
$920$	0.501253	+	9.02853i	0.0165258	+	0.297662i
$921$	−21.1752	−	36.6766i	−0.697748	−	1.20853i
$922$	−0.866527	−	0.681444i	−0.0285375	−	0.0224422i
$923$	3.45810	+	7.57217i	0.113825	+	0.249241i
$924$	11.6048	+	34.1086i	0.381769	+	1.12209i
$925$	6.41381	+	7.40193i	0.210885	+	0.243374i
$926$	0.972518	−	4.00877i	0.0319589	−	0.131736i
$927$	0.434654	−	9.12451i	0.0142759	−	0.299688i
$928$	−3.16668	+	0.302381i	−0.103951	+	0.00992614i
$929$	−6.02426	−	17.4060i	−0.197650	−	0.571071i	0.802006	−	0.597316i	$-0.203766\pi$
$929$	−6.02426	−	17.4060i	−0.197650	−	0.571071i	−0.999656	+	0.0262450i	$0.991645\pi$
$930$	2.16193	−	1.38939i	0.0708924	−	0.0455598i
$931$	−15.1261	+	17.0901i	−0.495737	+	0.560106i
$932$	0.206973	+	1.43953i	0.00677964	+	0.0471534i
$933$	0.489708	+	10.2802i	0.0160323	+	0.336560i
$934$	−0.919047	−	0.177132i	−0.0300721	−	0.00579593i
$935$	−68.0287	+	6.49595i	−2.22478	+	0.212440i
$936$	−1.87026	+	0.964184i	−0.0611313	+	0.0315154i
$937$	35.4884	−	10.4203i	1.15936	−	0.340418i	0.355174	−	0.934800i	$-0.384422\pi$
$937$	35.4884	−	10.4203i	1.15936	−	0.340418i	0.804182	+	0.594383i	$0.202604\pi$
$938$	1.54968	−	6.24445i	0.0505988	−	0.203889i
$939$	30.0715	+	8.82980i	0.981348	+	0.288150i
$940$	−45.9900	−	4.39151i	−1.50003	−	0.143235i
$941$	−23.4144	+	9.37371i	−0.763288	+	0.305574i	−0.720449	−	0.693508i	$-0.756064\pi$
$941$	−23.4144	+	9.37371i	−0.763288	+	0.305574i	−0.0428386	+	0.999082i	$0.513640\pi$
$942$	2.05822	+	3.56495i	0.0670606	+	0.116152i
$943$	12.2806	+	7.75651i	0.399911	+	0.252587i
$944$	35.7991			1.16516
$945$	−1.94827	+	36.8263i	−0.0633773	+	1.19796i
$946$	−3.81409	−	8.35169i	−0.124007	−	0.271537i
$947$	−9.93155	+	9.46971i	−0.322732	+	0.307724i	−0.834074	−	0.551653i	$-0.813997\pi$
$947$	−9.93155	+	9.46971i	−0.322732	+	0.307724i	0.511342	+	0.859378i	$0.329149\pi$
$948$	1.00902	−	2.91536i	0.0327713	−	0.0946865i
$949$	−3.23355	−	3.08318i	−0.104965	−	0.100084i
$950$	0.611420	−	0.315209i	0.0198371	−	0.0102267i
$951$	2.16540	−	4.74157i	0.0702180	−	0.153756i
$952$	−4.84872	−	10.7666i	−0.157148	−	0.348947i
$953$	−24.1180	+	15.4997i	−0.781260	+	0.502085i	−0.869452	−	0.494018i	$-0.835528\pi$
$953$	−24.1180	+	15.4997i	−0.781260	+	0.502085i	0.0881914	+	0.996104i	$0.471891\pi$
$954$	0.203624	+	0.0815189i	0.00659258	+	0.00263927i
$955$	25.4173	−	19.9884i	0.822484	−	0.646808i
$956$	6.28800	+	3.24169i	0.203368	+	0.104844i
$957$	−3.19997	−	9.24570i	−0.103440	−	0.298871i
$958$	0.900426	−	1.97166i	0.0290914	−	0.0637014i
$959$	23.2989	−	14.8009i	0.752362	−	0.477946i
$960$	−24.7089	+	7.25519i	−0.797476	+	0.234160i
$961$	−17.0843	+	3.29273i	−0.551106	+	0.106217i
$962$	−1.30982	−	5.39916i	−0.0422304	−	0.174076i
$963$	−6.52878	+	9.16839i	−0.210387	+	0.295447i
$964$	11.8951	+	9.35443i	0.383116	+	0.301286i
$965$	1.40679			0.0452862
$966$	−2.08504	−	2.91194i	−0.0670852	−	0.0936901i
$967$	25.0375			0.805151			0.402575	−	0.915387i	$-0.368115\pi$
$967$	25.0375			0.805151			0.402575	+	0.915387i	$0.368115\pi$
$968$	−6.86713	−	5.40037i	−0.220718	−	0.173574i
$969$	16.1858	−	22.7298i	0.519963	−	0.730186i
$970$	1.27825	+	5.26900i	0.0410420	+	0.169178i
$971$	−10.6692	+	2.05633i	−0.342392	+	0.0659906i	−0.357549	−	0.933895i	$-0.616387\pi$
$971$	−10.6692	+	2.05633i	−0.342392	+	0.0659906i	0.0151568	+	0.999885i	$0.495175\pi$
$972$	16.1669	−	4.74704i	0.518555	−	0.152261i
$973$	−0.412935	−	9.74591i	−0.0132381	−	0.312440i
$974$	0.620216	−	1.35808i	0.0198730	−	0.0435158i
$975$	1.68976	+	4.88225i	0.0541157	+	0.156357i
$976$	−6.41789	−	3.30865i	−0.205431	−	0.105907i
$977$	0.755066	−	0.593790i	0.0241567	−	0.0189970i	−0.606008	−	0.795459i	$-0.707230\pi$
$977$	0.755066	−	0.593790i	0.0241567	−	0.0189970i	0.630164	+	0.776462i	$0.282988\pi$
$978$	2.33562	+	0.935042i	0.0746850	+	0.0298994i
$979$	10.8852	−	6.99550i	0.347893	−	0.223577i
$980$	−16.6507	−	29.5528i	−0.531886	−	0.944031i
$981$	5.26226	−	11.5228i	0.168011	−	0.367893i
$982$	3.84127	−	1.98031i	0.122580	−	0.0631943i
$983$	41.9021	+	39.9535i	1.33647	+	1.27432i	0.933255	+	0.359214i	$0.116955\pi$
$983$	41.9021	+	39.9535i	1.33647	+	1.27432i	0.403214	+	0.915106i	$0.367893\pi$
$984$	1.10802	−	3.20140i	0.0353222	−	0.102057i
$985$	15.4621	−	14.7431i	0.492665	−	0.469755i
$986$	0.659780	+	1.44472i	0.0210117	+	0.0460091i
$987$	32.9244	−	16.7553i	1.04800	−	0.533327i
$988$	20.6212			0.656049
$989$	−31.8710	−	36.2021i	−1.01344	−	1.15116i
$990$	−0.963518	−	1.66886i	−0.0306226	−	0.0530399i
$991$	−6.36887	+	2.54971i	−0.202314	+	0.0809942i	−0.470606	−	0.882343i	$-0.655965\pi$
$991$	−6.36887	+	2.54971i	−0.202314	+	0.0809942i	0.268293	+	0.963337i	$0.413541\pi$
$992$	8.28127	+	0.790766i	0.262931	+	0.0251068i
$993$	−31.1007	−	9.13199i	−0.986951	−	0.289795i
$994$	−0.948573	−	0.914027i	−0.0300869	−	0.0289912i
$995$	−9.28625	+	2.72669i	−0.294394	+	0.0864419i
$996$	11.3898	−	5.87185i	0.360900	−	0.186057i
$997$	−43.9925	+	4.20078i	−1.39326	+	0.133040i	−0.764531	−	0.644587i	$-0.777029\pi$
$997$	−43.9925	+	4.20078i	−1.39326	+	0.133040i	−0.628726	+	0.777627i	$0.716423\pi$
$998$	0.0875496	+	0.0168738i	0.00277133	+	0.000534131i
$999$	2.40342	+	50.4541i	0.0760410	+	1.59630i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	161.2.m.a.100.9	yes	280
7.4	even	3	inner	161.2.m.a.123.6	yes	280
23.3	even	11	inner	161.2.m.a.72.6	✓	280
161.95	even	33	inner	161.2.m.a.95.9	yes	280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
161.2.m.a.72.6	✓	280	23.3	even	11	inner
161.2.m.a.95.9	yes	280	161.95	even	33	inner
161.2.m.a.100.9	yes	280	1.1	even	1	trivial
161.2.m.a.123.6	yes	280	7.4	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 161 = 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	161.m (of order \(33\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.151491 + 0.119134i) q^{2} +(0.849537 - 1.19301i) q^{3} +(-0.462761 - 1.90753i) q^{4} +(-2.42414 + 0.467215i) q^{5} +(0.270825 - 0.0795213i) q^{6} +(-0.112000 - 2.64338i) q^{7} +(0.317267 - 0.694719i) q^{8} +(0.279650 + 0.807996i) q^{9} +(-0.422897 - 0.218018i) q^{10} +(3.72350 - 2.92819i) q^{11} +(-2.66883 - 1.06844i) q^{12} +(-2.71073 + 1.74208i) q^{13} +(0.297949 - 0.413791i) q^{14} +(-1.50201 + 3.28894i) q^{15} +(-3.35849 + 1.73142i) q^{16} +(4.22926 + 4.03259i) q^{17} +(-0.0538952 + 0.155720i) q^{18} +(2.35964 - 2.24991i) q^{19} +(2.01302 + 4.40791i) q^{20} +(-3.24872 - 2.11203i) q^{21} +0.912924 q^{22} +(4.59080 - 1.38728i) q^{23} +(-0.559274 - 0.968691i) q^{24} +(1.01634 - 0.406879i) q^{25} +(-0.618192 - 0.0590302i) q^{26} +(5.41726 + 1.59065i) q^{27} +(-4.99049 + 1.43690i) q^{28} +(1.35313 - 0.397314i) q^{29} +(-0.619364 + 0.319304i) q^{30} +(-3.67129 + 0.350566i) q^{31} +(-2.21492 - 0.426891i) q^{32} +(-0.330106 - 6.92977i) q^{33} +(0.160277 + 1.11475i) q^{34} +(1.50653 + 6.35560i) q^{35} +(1.41186 - 0.907350i) q^{36} +(2.92609 + 8.45439i) q^{37} +(0.625505 - 0.0597285i) q^{38} +(-0.224550 + 4.71388i) q^{39} +(-0.444518 + 1.83233i) q^{40} +(1.98336 + 2.28892i) q^{41} +(-0.240537 - 0.706986i) q^{42} +(-4.17788 - 9.14828i) q^{43} +(-7.30870 - 5.74763i) q^{44} +(-1.05542 - 1.82804i) q^{45} +(0.860737 + 0.336760i) q^{46} +(-4.76692 + 8.25654i) q^{47} +(-0.787561 + 5.47760i) q^{48} +(-6.97491 + 0.592118i) q^{49} +(0.202439 + 0.0594414i) q^{50} +(8.40382 - 1.61970i) q^{51} +(4.57749 + 4.36463i) q^{52} +(0.0633344 - 1.32955i) q^{53} +(0.631166 + 0.886349i) q^{54} +(-7.65820 + 8.83804i) q^{55} +(-1.87194 - 0.760850i) q^{56} +(-0.679561 - 4.72645i) q^{57} +(0.252320 + 0.101014i) q^{58} +(-8.42116 - 4.34141i) q^{59} +(6.96881 + 1.34313i) q^{60} +(1.10846 + 1.55661i) q^{61} +(-0.597932 - 0.384268i) q^{62} +(2.10452 - 0.829717i) q^{63} +(4.66413 + 5.38270i) q^{64} +(5.75727 - 5.48954i) q^{65} +(0.775562 - 1.08912i) q^{66} +(11.7141 - 4.68961i) q^{67} +(5.73514 - 9.93356i) q^{68} +(2.24502 - 6.65540i) q^{69} +(-0.528941 + 1.14229i) q^{70} +(0.367659 - 2.55713i) q^{71} +(0.650054 + 0.0620726i) q^{72} +(0.326896 + 1.34748i) q^{73} +(-0.563927 + 1.62936i) q^{74} +(0.378004 - 1.55815i) q^{75} +(-5.38372 - 3.45991i) q^{76} +(-8.15736 - 9.51467i) q^{77} +(-0.595600 + 0.687359i) q^{78} +(0.0510625 + 1.07193i) q^{79} +(7.33250 - 5.76635i) q^{80} +(4.48355 - 3.52590i) q^{81} +(0.0277734 + 0.583036i) q^{82} +(-2.91906 + 3.36878i) q^{83} +(-2.52538 + 7.17439i) q^{84} +(-12.1364 - 7.79960i) q^{85} +(0.456959 - 1.88361i) q^{86} +(0.675532 - 1.95182i) q^{87} +(-0.852926 - 3.51581i) q^{88} +(2.71919 + 0.259651i) q^{89} +(0.0578949 - 0.402668i) q^{90} +(4.90858 + 6.97038i) q^{91} +(-4.77071 - 8.11510i) q^{92} +(-2.70067 + 4.67770i) q^{93} +(-1.70578 + 0.682891i) q^{94} +(-4.66891 + 6.55657i) q^{95} +(-2.39094 + 2.27976i) q^{96} +(-7.46247 - 8.61215i) q^{97} +(-1.12718 - 0.741247i) q^{98} +(3.40725 + 2.18971i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 280 q - 11 q^{2} - 9 q^{3} + q^{4} - 11 q^{5} - 52 q^{6} - 20 q^{7} - 32 q^{8} + 5 q^{9} - 21 q^{10} - 7 q^{11} - 17 q^{12} - 36 q^{13} - 18 q^{14} - 32 q^{15} + 11 q^{16} - 21 q^{17} + 23 q^{18} - 13 q^{19}+ \cdots + 202 q^{99}+O(q^{100}) \) 280 * q - 11 * q^2 - 9 * q^3 + q^4 - 11 * q^5 - 52 * q^6 - 20 * q^7 - 32 * q^8 + 5 * q^9 - 21 * q^10 - 7 * q^11 - 17 * q^12 - 36 * q^13 - 18 * q^14 - 32 * q^15 + 11 * q^16 - 21 * q^17 + 23 * q^18 - 13 * q^19 + 36 * q^20 - 90 * q^21 - 48 * q^22 + 11 * q^23 - 2 * q^24 + 9 * q^25 + 17 * q^26 + 6 * q^27 - 80 * q^28 - 40 * q^29 + 41 * q^30 - 7 * q^31 + 9 * q^32 - 33 * q^33 - 76 * q^34 - 6 * q^35 - 234 * q^36 + 27 * q^37 + 89 * q^38 + q^39 - 35 * q^40 - 72 * q^41 + 62 * q^42 - 128 * q^43 + 30 * q^44 + 108 * q^45 - 11 * q^46 - 6 * q^47 + 68 * q^48 + 80 * q^49 - 226 * q^50 + 21 * q^51 + 189 * q^52 - 21 * q^53 + 55 * q^54 - 48 * q^55 + 83 * q^56 - 76 * q^57 + 10 * q^58 + 47 * q^59 - 15 * q^60 + 65 * q^61 + 4 * q^62 + 25 * q^63 + 24 * q^64 - 66 * q^65 - 44 * q^66 - 21 * q^67 + 202 * q^68 - 60 * q^69 - 6 * q^70 - 28 * q^71 - 129 * q^72 + 15 * q^73 - 34 * q^74 + 139 * q^75 - 44 * q^76 + 61 * q^77 + 244 * q^78 - 69 * q^79 - 102 * q^80 + 151 * q^81 + 137 * q^82 + 24 * q^83 + 32 * q^84 + 124 * q^85 - 55 * q^86 - 129 * q^87 + 64 * q^88 - 21 * q^89 - 28 * q^90 - 62 * q^91 + 154 * q^92 + 4 * q^93 - 98 * q^94 + 38 * q^95 + 165 * q^96 - 12 * q^97 + 12 * q^98 + 202 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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