LMFDB - Embedded newform 196.2.p.a.3.11

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [196,2,Mod(3,196)] 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("196.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(196, base_ring=CyclotomicField(42)) chi = DirichletCharacter(H, H._module([21, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 196 = 2^{2} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	196.p (of order $42$, degree $12$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$312$
Relative dimension:	$26$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			3.11
Character	$\chi$	$=$	196.3
Dual form			196.2.p.a.131.11

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.209076 - 1.39867i) q^{2} +(-0.0654786 + 0.873751i) q^{3} +(-1.91257 + 0.584859i) q^{4} +(-0.948216 + 1.39078i) q^{5} +(1.23578 - 0.0910975i) q^{6} +(0.250153 + 2.63390i) q^{7} +(1.21790 + 2.55279i) q^{8} +(2.20734 + 0.332703i) q^{9} +(2.14349 + 1.03547i) q^{10} +(0.0851417 + 0.564878i) q^{11} +(-0.385788 - 1.70941i) q^{12} +(1.24602 - 0.993671i) q^{13} +(3.63166 - 0.900569i) q^{14} +(-1.15310 - 0.919570i) q^{15} +(3.31588 - 2.23717i) q^{16} +(-2.24786 + 7.28739i) q^{17} +(0.00384004 - 3.15691i) q^{18} +(-1.38541 - 2.39960i) q^{19} +(1.00012 - 3.21454i) q^{20} +(-2.31775 + 0.0461078i) q^{21} +(0.772279 - 0.237188i) q^{22} +(-1.18352 - 3.83688i) q^{23} +(-2.31024 + 0.896989i) q^{24} +(0.791557 + 2.01685i) q^{25} +(-1.65034 - 1.53503i) q^{26} +(-1.02015 + 4.46958i) q^{27} +(-2.01890 - 4.89122i) q^{28} +(-0.499713 - 2.18939i) q^{29} +(-1.04509 + 1.80508i) q^{30} +(1.27545 - 2.20914i) q^{31} +(-3.82235 - 4.17009i) q^{32} +(-0.499137 + 0.0374052i) q^{33} +(10.6627 + 1.62040i) q^{34} +(-3.90037 - 2.14960i) q^{35} +(-4.41629 + 0.654664i) q^{36} +(6.50032 - 6.03142i) q^{37} +(-3.06659 + 2.43943i) q^{38} +(0.786633 + 1.15378i) q^{39} +(-4.70519 - 0.726763i) q^{40} +(1.85595 + 3.85393i) q^{41} +(0.549077 + 3.23214i) q^{42} +(1.42266 - 2.95418i) q^{43} +(-0.493214 - 1.03058i) q^{44} +(-2.55575 + 2.75444i) q^{45} +(-5.11910 + 2.45756i) q^{46} +(-2.31060 + 5.88732i) q^{47} +(1.73761 + 3.04374i) q^{48} +(-6.87485 + 1.31776i) q^{49} +(2.65542 - 1.52881i) q^{50} +(-6.22018 - 2.44124i) q^{51} +(-1.80196 + 2.62922i) q^{52} +(-4.82652 - 4.47836i) q^{53} +(6.46477 + 0.492376i) q^{54} +(-0.866352 - 0.417213i) q^{55} +(-6.41912 + 3.84642i) q^{56} +(2.18736 - 1.05338i) q^{57} +(-2.95776 + 1.15668i) q^{58} +(10.0784 - 6.87131i) q^{59} +(2.74322 + 1.08434i) q^{60} +(-4.36346 - 4.70269i) q^{61} +(-3.35653 - 1.32205i) q^{62} +(-0.324132 + 5.89714i) q^{63} +(-5.03343 + 6.21808i) q^{64} +(0.200475 + 2.67516i) q^{65} +(0.156676 + 0.690310i) q^{66} +(11.8097 + 6.81833i) q^{67} +(0.0371058 - 15.2524i) q^{68} +(3.42997 - 0.782869i) q^{69} +(-2.19111 + 5.90477i) q^{70} +(-14.2680 - 3.25658i) q^{71} +(1.83900 + 6.04007i) q^{72} +(6.94237 - 2.72468i) q^{73} +(-9.79505 - 7.83080i) q^{74} +(-1.81406 + 0.559563i) q^{75} +(4.05312 + 3.77914i) q^{76} +(-1.46653 + 0.365561i) q^{77} +(1.44929 - 1.34147i) q^{78} +(12.3302 - 7.11882i) q^{79} +(-0.0327600 + 6.73297i) q^{80} +(2.56080 + 0.789902i) q^{81} +(5.00235 - 3.40164i) q^{82} +(3.63901 - 4.56318i) q^{83} +(4.40590 - 1.44374i) q^{84} +(-8.00368 - 10.0363i) q^{85} +(-4.42938 - 1.37218i) q^{86} +(1.94570 - 0.293267i) q^{87} +(-1.33832 + 0.905314i) q^{88} +(0.346392 - 2.29816i) q^{89} +(4.38691 + 2.99877i) q^{90} +(2.92893 + 3.03333i) q^{91} +(4.50761 + 6.64613i) q^{92} +(1.84672 + 1.25907i) q^{93} +(8.71752 + 2.00088i) q^{94} +(4.65097 + 0.348542i) q^{95} +(3.89390 - 3.06673i) q^{96} -5.50556i q^{97} +(3.28048 + 9.34015i) q^{98} +1.27520i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) $ 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$.

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

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 $

$2$	−0.209076	−	1.39867i	−0.147839	−	0.989011i
$2$	−0.209076	−	1.39867i	−0.147839	−	0.989011i
$3$	−0.0654786	+	0.873751i	−0.0378041	+	0.504460i	0.945875	+	0.324530i	$0.105206\pi$
$3$	−0.0654786	+	0.873751i	−0.0378041	+	0.504460i	−0.983679	+	0.179930i	$0.942413\pi$
$4$	−1.91257	+	0.584859i	−0.956287	+	0.292430i
$5$	−0.948216	+	1.39078i	−0.424055	+	0.621975i	−0.977506	−	0.210907i	$-0.932358\pi$
$5$	−0.948216	+	1.39078i	−0.424055	+	0.621975i	0.553451	+	0.832882i	$0.313311\pi$
$6$	1.23578	−	0.0910975i	0.504506	−	0.0371904i
$7$	0.250153	+	2.63390i	0.0945491	+	0.995520i
$7$	0.250153	+	2.63390i	0.0945491	+	0.995520i
$8$	1.21790	+	2.55279i	0.430593	+	0.902546i
$9$	2.20734	+	0.332703i	0.735780	+	0.110901i
$10$	2.14349	+	1.03547i	0.677832	+	0.327443i
$11$	0.0851417	+	0.564878i	0.0256712	+	0.170317i	0.997993	−	0.0633300i	$-0.0201721\pi$
$11$	0.0851417	+	0.564878i	0.0256712	+	0.170317i	−0.972321	+	0.233647i	$0.924934\pi$
$12$	−0.385788	−	1.70941i	−0.111368	−	0.493464i
$13$	1.24602	−	0.993671i	0.345585	−	0.275595i	−0.435279	−	0.900295i	$-0.643350\pi$
$13$	1.24602	−	0.993671i	0.345585	−	0.275595i	0.780864	+	0.624701i	$0.214779\pi$
$14$	3.63166	−	0.900569i	0.970603	−	0.240687i
$15$	−1.15310	−	0.919570i	−0.297730	−	0.237432i
$16$	3.31588	−	2.23717i	0.828970	−	0.559293i
$17$	−2.24786	+	7.28739i	−0.545187	+	1.76745i	0.0909277	+	0.995858i	$0.471017\pi$
$17$	−2.24786	+	7.28739i	−0.545187	+	1.76745i	−0.636114	+	0.771595i	$0.719459\pi$
$18$	0.00384004	−	3.15691i	0.000905107	−	0.744090i
$19$	−1.38541	−	2.39960i	−0.317834	−	0.550505i	0.662202	−	0.749326i	$-0.269622\pi$
$19$	−1.38541	−	2.39960i	−0.317834	−	0.550505i	−0.980036	+	0.198821i	$0.936289\pi$
$20$	1.00012	−	3.21454i	0.223635	−	0.718793i
$21$	−2.31775	+	0.0461078i	−0.505775	+	0.0100615i
$22$	0.772279	−	0.237188i	0.164650	−	0.0505687i
$23$	−1.18352	−	3.83688i	−0.246781	−	0.800045i	−0.991205	−	0.132337i	$-0.957752\pi$
$23$	−1.18352	−	3.83688i	−0.246781	−	0.800045i	0.744424	−	0.667708i	$-0.232724\pi$
$24$	−2.31024	+	0.896989i	−0.471577	+	0.183097i
$25$	0.791557	+	2.01685i	0.158311	+	0.403371i
$26$	−1.65034	−	1.53503i	−0.323657	−	0.301044i
$27$	−1.02015	+	4.46958i	−0.196328	+	0.860170i
$28$	−2.01890	−	4.89122i	−0.381536	−	0.924354i
$29$	−0.499713	−	2.18939i	−0.0927944	−	0.406559i	0.907103	−	0.420910i	$-0.138289\pi$
$29$	−0.499713	−	2.18939i	−0.0927944	−	0.406559i	−0.999897	+	0.0143507i	$0.995432\pi$
$30$	−1.04509	+	1.80508i	−0.190807	+	0.329561i
$31$	1.27545	−	2.20914i	0.229077	−	0.396773i	−0.728458	−	0.685090i	$-0.759763\pi$
$31$	1.27545	−	2.20914i	0.229077	−	0.396773i	0.957535	+	0.288318i	$0.0930960\pi$
$32$	−3.82235	−	4.17009i	−0.675702	−	0.737175i
$33$	−0.499137	+	0.0374052i	−0.0868887	+	0.00651141i
$34$	10.6627	+	1.62040i	1.82863	+	0.277897i
$35$	−3.90037	−	2.14960i	−0.659282	−	0.363348i
$36$	−4.41629	+	0.654664i	−0.736048	+	0.109111i
$37$	6.50032	−	6.03142i	1.06865	−	0.991559i	0.0686649	−	0.997640i	$-0.478126\pi$
$37$	6.50032	−	6.03142i	1.06865	−	0.991559i	0.999982	+	0.00608079i	$0.00193559\pi$
$38$	−3.06659	+	2.43943i	−0.497467	+	0.395728i
$39$	0.786633	+	1.15378i	0.125962	+	0.184752i
$40$	−4.70519	−	0.726763i	−0.743956	−	0.114911i
$41$	1.85595	+	3.85393i	0.289851	+	0.601883i	0.994148	−	0.108023i	$-0.0344519\pi$
$41$	1.85595	+	3.85393i	0.289851	+	0.601883i	−0.704297	+	0.709905i	$0.748738\pi$
$42$	0.549077	+	3.23214i	0.0847244	+	0.498729i
$43$	1.42266	−	2.95418i	0.216953	−	0.450508i	−0.763880	−	0.645359i	$-0.776708\pi$
$43$	1.42266	−	2.95418i	0.216953	−	0.450508i	0.980833	+	0.194851i	$0.0624222\pi$
$44$	−0.493214	−	1.03058i	−0.0743548	−	0.155365i
$45$	−2.55575	+	2.75444i	−0.380989	+	0.410608i
$46$	−5.11910	+	2.45756i	−0.754770	+	0.362348i
$47$	−2.31060	+	5.88732i	−0.337036	+	0.858753i	0.657413	+	0.753531i	$0.271651\pi$
$47$	−2.31060	+	5.88732i	−0.337036	+	0.858753i	−0.994449	+	0.105223i	$0.966444\pi$
$48$	1.73761	+	3.04374i	0.250803	+	0.439326i
$49$	−6.87485	+	1.31776i	−0.982121	+	0.188251i
$50$	2.65542	−	1.52881i	0.375534	−	0.216206i
$51$	−6.22018	−	2.44124i	−0.870999	−	0.341842i
$52$	−1.80196	+	2.62922i	−0.249886	+	0.364607i
$53$	−4.82652	−	4.47836i	−0.662974	−	0.615150i	0.275170	−	0.961396i	$-0.411266\pi$
$53$	−4.82652	−	4.47836i	−0.662974	−	0.615150i	−0.938144	+	0.346246i	$0.887456\pi$
$54$	6.46477	+	0.492376i	0.879743	+	0.0670039i
$55$	−0.866352	−	0.417213i	−0.116819	−	0.0562570i
$56$	−6.41912	+	3.84642i	−0.857791	+	0.513999i
$57$	2.18736	−	1.05338i	0.289723	−	0.139523i
$58$	−2.95776	+	1.15668i	−0.388373	+	0.151880i
$59$	10.0784	−	6.87131i	1.31209	−	0.894568i	0.313604	−	0.949554i	$-0.398464\pi$
$59$	10.0784	−	6.87131i	1.31209	−	0.894568i	0.998487	+	0.0549857i	$0.0175113\pi$
$60$	2.74322	+	1.08434i	0.354148	+	0.139988i
$61$	−4.36346	−	4.70269i	−0.558684	−	0.602118i	0.389036	−	0.921223i	$-0.372808\pi$
$61$	−4.36346	−	4.70269i	−0.558684	−	0.602118i	−0.947719	+	0.319105i	$0.896618\pi$
$62$	−3.35653	−	1.32205i	−0.426279	−	0.167901i
$63$	−0.324132	+	5.89714i	−0.0408368	+	0.742969i
$64$	−5.03343	+	6.21808i	−0.629179	+	0.777260i
$65$	0.200475	+	2.67516i	0.0248659	+	0.331812i
$66$	0.156676	+	0.690310i	0.0192854	+	0.0849713i
$67$	11.8097	+	6.81833i	1.44278	+	0.832992i	0.998035	−	0.0626638i	$-0.0199596\pi$
$67$	11.8097	+	6.81833i	1.44278	+	0.832992i	0.444749	+	0.895655i	$0.353293\pi$
$68$	0.0371058	−	15.2524i	0.00449974	−	1.84962i
$69$	3.42997	−	0.782869i	0.412920	−	0.0942463i
$70$	−2.19111	+	5.90477i	−0.261888	+	0.705755i
$71$	−14.2680	−	3.25658i	−1.69330	−	0.386485i	−0.736319	−	0.676635i	$-0.763438\pi$
$71$	−14.2680	−	3.25658i	−1.69330	−	0.386485i	−0.956981	+	0.290150i	$0.906295\pi$
$72$	1.83900	+	6.04007i	0.216728	+	0.711829i
$73$	6.94237	−	2.72468i	0.812543	−	0.318900i	0.0775620	−	0.996988i	$-0.475286\pi$
$73$	6.94237	−	2.72468i	0.812543	−	0.318900i	0.734981	+	0.678088i	$0.237191\pi$
$74$	−9.79505	−	7.83080i	−1.13865	−	0.910312i
$75$	−1.81406	+	0.559563i	−0.209469	+	0.0646127i
$76$	4.05312	+	3.77914i	0.464925	+	0.433497i
$77$	−1.46653	+	0.365561i	−0.167127	+	0.0416595i
$78$	1.44929	−	1.34147i	0.164100	−	0.151892i
$79$	12.3302	−	7.11882i	1.38725	−	0.800930i	0.394246	−	0.919005i	$-0.371006\pi$
$79$	12.3302	−	7.11882i	1.38725	−	0.800930i	0.993005	+	0.118075i	$0.0376724\pi$
$80$	−0.0327600	+	6.73297i	−0.00366268	+	0.752769i
$81$	2.56080	+	0.789902i	0.284533	+	0.0877669i
$82$	5.00235	−	3.40164i	0.552417	−	0.375648i
$83$	3.63901	−	4.56318i	0.399434	−	0.500874i	−0.540919	−	0.841074i	$-0.681924\pi$
$83$	3.63901	−	4.56318i	0.399434	−	0.500874i	0.940353	+	0.340201i	$0.110495\pi$
$84$	4.40590	−	1.44374i	0.480723	−	0.157525i
$85$	−8.00368	−	10.0363i	−0.868121	−	1.08859i
$86$	−4.42938	−	1.37218i	−0.477632	−	0.147966i
$87$	1.94570	−	0.293267i	0.208601	−	0.0314415i
$88$	−1.33832	+	0.905314i	−0.142665	+	0.0965068i
$89$	0.346392	−	2.29816i	0.0367174	−	0.243604i	−0.962942	−	0.269709i	$-0.913072\pi$
$89$	0.346392	−	2.29816i	0.0367174	−	0.243604i	0.999659	+	0.0261051i	$0.00831045\pi$
$90$	4.38691	+	2.99877i	0.462421	+	0.316098i
$91$	2.92893	+	3.03333i	0.307035	+	0.317980i
$92$	4.50761	+	6.64613i	0.469951	+	0.692907i
$93$	1.84672	+	1.25907i	0.191496	+	0.130560i
$94$	8.71752	+	2.00088i	0.899144	+	0.206375i
$95$	4.65097	+	0.348542i	0.477179	+	0.0357596i
$96$	3.89390	−	3.06673i	0.397420	−	0.312996i
$97$		−	5.50556i		−	0.559005i	−0.960145	−	0.279503i	$-0.909830\pi$
$97$		−	5.50556i		−	0.559005i	0.960145	−	0.279503i	$-0.0901695\pi$
$98$	3.28048	+	9.34015i	0.331379	+	0.943498i
$99$			1.27520i			0.128163i
$100$	−2.69349	−	3.39443i	−0.269349	−	0.339443i
$101$	3.12966	+	0.234535i	0.311412	+	0.0233371i	0.229520	−	0.973304i	$-0.426284\pi$
$101$	3.12966	+	0.234535i	0.311412	+	0.0233371i	0.0818927	+	0.996641i	$0.473904\pi$
$102$	−2.11400	+	9.21040i	−0.209318	+	0.911966i
$103$	14.1772	+	9.66585i	1.39692	+	0.952405i	0.999394	+	0.0348141i	$0.0110839\pi$
$103$	14.1772	+	9.66585i	1.39692	+	0.952405i	0.397527	+	0.917590i	$0.369868\pi$
$104$	4.05416	+	1.97064i	0.397544	+	0.193237i
$105$	2.13360	−	3.26720i	0.208218	−	0.318846i
$106$	−5.25465	+	7.68705i	−0.510377	+	0.746632i
$107$	0.200138	−	1.32783i	0.0193481	−	0.128366i	−0.977072	−	0.212911i	$-0.931706\pi$
$107$	0.200138	−	1.32783i	0.0193481	−	0.128366i	0.996420	+	0.0845449i	$0.0269436\pi$
$108$	−0.662957	−	9.14504i	−0.0637931	−	0.879982i
$109$	−3.17300	+	0.478253i	−0.303919	+	0.0458084i	−0.299231	−	0.954181i	$-0.596730\pi$
$109$	−3.17300	+	0.478253i	−0.303919	+	0.0458084i	−0.00468745	+	0.999989i	$0.501492\pi$
$110$	−0.402411	+	1.29897i	−0.0383684	+	0.123852i
$111$	4.84432	+	6.07459i	0.459803	+	0.576574i
$112$	6.72197	+	8.17405i	0.635166	+	0.772376i
$113$	6.90805	−	8.66243i	0.649855	−	0.814892i	−0.342342	−	0.939576i	$-0.611220\pi$
$113$	6.90805	−	8.66243i	0.649855	−	0.814892i	0.992197	+	0.124683i	$0.0397914\pi$
$114$	−1.93066	−	2.83917i	−0.180823	−	0.265913i
$115$	6.45848	+	1.99218i	0.602257	+	0.185772i
$116$	2.23622	+	3.89510i	0.207628	+	0.361651i
$117$	3.08100	−	1.77881i	0.284838	−	0.164451i
$118$	−11.7179	−	12.6597i	−1.07872	−	1.16542i
$119$	−19.7566	−	4.09768i	−1.81108	−	0.375633i
$120$	0.943099	−	4.06358i	0.0860928	−	0.370952i
$121$	10.1995	−	3.14612i	0.927224	−	0.286011i
$122$	−5.66523	+	7.08627i	−0.512906	+	0.641561i
$123$	−3.48890	+	1.36929i	−0.314583	+	0.123465i
$124$	−1.14735	+	4.97109i	−0.103035	+	0.446417i
$125$	−11.7609	−	2.68434i	−1.05192	−	0.240095i
$126$	8.31594	−	0.779597i	0.740842	−	0.0694520i
$127$	−5.59128	+	1.27617i	−0.496146	+	0.113242i	−0.463270	−	0.886217i	$-0.653324\pi$
$127$	−5.59128	+	1.27617i	−0.496146	+	0.113242i	−0.0328763	+	0.999459i	$0.510467\pi$
$128$	9.74944	+	5.74008i	0.861737	+	0.507356i
$129$	2.48806	+	1.43648i	0.219062	+	0.126475i
$130$	3.69976	−	0.839712i	0.324490	−	0.0736476i
$131$	0.242551	+	3.23662i	0.0211918	+	0.282785i	0.997725	+	0.0674172i	$0.0214758\pi$
$131$	0.242551	+	3.23662i	0.0211918	+	0.282785i	−0.976533	+	0.215367i	$0.930905\pi$
$132$	0.932761	−	0.363465i	0.0811864	−	0.0316356i
$133$	5.97373	−	4.24929i	0.517988	−	0.368460i
$134$	7.06749	−	17.9435i	0.610538	−	1.55008i
$135$	−5.24886	−	5.65693i	−0.451750	−	0.486871i
$136$	−21.3408	+	3.13701i	−1.82996	+	0.268996i
$137$	−12.1035	+	8.25202i	−1.03407	+	0.705018i	−0.956429	−	0.291964i	$-0.905691\pi$
$137$	−12.1035	+	8.25202i	−1.03407	+	0.705018i	−0.0776416	+	0.996981i	$0.524739\pi$
$138$	−1.81210	−	4.63373i	−0.154257	−	0.394449i
$139$	−12.6285	+	6.08158i	−1.07114	+	0.515833i	−0.884473	−	0.466591i	$-0.845482\pi$
$139$	−12.6285	+	6.08158i	−1.07114	+	0.515833i	−0.186665	+	0.982424i	$0.559768\pi$
$140$	8.71695	+	1.83010i	0.736717	+	0.154672i
$141$	−4.99275	−	2.40438i	−0.420465	−	0.202485i
$142$	−1.57179	+	20.6371i	−0.131901	+	1.73183i
$143$	0.667392	+	0.619249i	0.0558101	+	0.0517842i
$144$	8.06359	−	3.83500i	0.671966	−	0.319583i
$145$	3.51879	+	1.38102i	0.292219	+	0.114688i
$146$	−5.26242	−	9.14044i	−0.435521	−	0.756468i
$147$	−0.701236	−	6.09319i	−0.0578370	−	0.502558i
$148$	−8.90482	+	15.3373i	−0.731972	+	1.26072i
$149$	−3.73745	+	9.52288i	−0.306184	+	0.780144i	0.692112	+	0.721790i	$0.256681\pi$
$149$	−3.73745	+	9.52288i	−0.306184	+	0.780144i	−0.998296	+	0.0583542i	$0.981415\pi$
$150$	1.16192	+	2.42028i	0.0948705	+	0.197615i
$151$	−4.49394	+	4.84332i	−0.365712	+	0.394144i	−0.888921	−	0.458061i	$-0.848544\pi$
$151$	−4.49394	+	4.84332i	−0.365712	+	0.394144i	0.523209	+	0.852204i	$0.324735\pi$
$152$	4.43836	−	6.45912i	0.359999	−	0.523904i
$153$	−7.38633	+	15.3379i	−0.597150	+	1.23999i
$154$	0.817917	+	1.97477i	0.0659097	+	0.159132i
$155$	1.86302	+	3.86860i	0.149641	+	0.310733i
$156$	−2.17929	−	1.74662i	−0.174483	−	0.139841i
$157$	0.454344	+	0.666400i	0.0362606	+	0.0531845i	0.843941	−	0.536436i	$-0.180230\pi$
$157$	0.454344	+	0.666400i	0.0362606	+	0.0531845i	−0.807680	+	0.589620i	$0.799277\pi$
$158$	−12.5348	−	15.7575i	−0.997219	−	1.25360i
$159$	4.22900	−	3.92394i	0.335382	−	0.311189i
$160$	9.42408	−	1.36189i	0.745039	−	0.107666i
$161$	9.80990	−	4.07708i	0.773128	−	0.321319i
$162$	0.569412	−	3.74687i	0.0447372	−	0.294382i
$163$	−3.21541	+	0.240961i	−0.251850	+	0.0188735i	−0.200057	−	0.979784i	$-0.564113\pi$
$163$	−3.21541	+	0.240961i	−0.251850	+	0.0188735i	−0.0517931	+	0.998658i	$0.516494\pi$
$164$	−5.80366	−	6.28545i	−0.453190	−	0.490812i
$165$	0.421268	−	0.729657i	0.0327957	−	0.0568038i
$166$	−7.14323	−	4.13574i	−0.554422	−	0.320995i
$167$	0.965384	+	4.22962i	0.0747036	+	0.327298i	0.998447	−	0.0557147i	$-0.0177437\pi$
$167$	0.965384	+	4.22962i	0.0747036	+	0.327298i	−0.923743	+	0.383013i	$0.874887\pi$
$168$	−2.94049	−	5.86057i	−0.226864	−	0.452153i
$169$	−2.32758	+	10.1978i	−0.179044	+	0.784445i
$170$	−12.3641	+	13.2929i	−0.948285	+	1.01952i
$171$	−2.25971	−	5.75765i	−0.172804	−	0.440299i
$172$	−0.993160	+	6.48214i	−0.0757277	+	0.494259i
$173$	1.96730	+	6.37783i	0.149571	+	0.484898i	0.999090	−	0.0426612i	$-0.0135836\pi$
$173$	1.96730	+	6.37783i	0.149571	+	0.484898i	−0.849518	+	0.527559i	$0.823107\pi$
$174$	−0.816984	−	2.66008i	−0.0619354	−	0.201660i
$175$	−5.11418	+	2.58940i	−0.386596	+	0.195740i
$176$	1.54605	+	1.68259i	0.116538	+	0.126830i
$177$	5.34389	+	9.25590i	0.401672	+	0.695716i
$178$	−3.28680	−	0.00399804i	−0.246356	−	0.000299666i
$179$	3.30172	−	10.7039i	0.246782	−	0.800048i	−0.744422	−	0.667709i	$-0.767275\pi$
$179$	3.30172	−	10.7039i	0.246782	−	0.800048i	0.991205	−	0.132339i	$-0.0422488\pi$
$180$	3.27710	−	6.76283i	0.244261	−	0.504072i
$181$	−15.3996	−	12.2808i	−1.14465	−	0.912825i	−0.147556	−	0.989054i	$-0.547141\pi$
$181$	−15.3996	−	12.2808i	−1.14465	−	0.912825i	−0.997090	+	0.0762289i	$0.975712\pi$
$182$	3.63027	−	4.73081i	0.269094	−	0.350671i
$183$	4.39469	−	3.50465i	0.324865	−	0.259071i
$184$	8.35333	−	7.69422i	0.615815	−	0.567225i
$185$	2.22465	+	14.7596i	0.163560	+	1.08515i
$186$	1.37493	−	2.84620i	0.100814	−	0.208694i
$187$	−4.30787	−	0.649308i	−0.315023	−	0.0474821i
$188$	0.975945	−	12.6113i	0.0711781	−	0.919774i
$189$	−12.0276	−	1.56890i	−0.874880	−	0.114120i
$190$	−0.484912	−	6.57806i	−0.0351792	−	0.477222i
$191$	5.74042	−	8.41965i	0.415362	−	0.609224i	−0.560357	−	0.828251i	$-0.689336\pi$
$191$	5.74042	−	8.41965i	0.415362	−	0.609224i	0.975719	+	0.219027i	$0.0702883\pi$
$192$	−5.10347	−	4.80512i	−0.368311	−	0.346779i
$193$	−0.881788	+	11.7666i	−0.0634725	+	0.846981i	0.871077	+	0.491147i	$0.163422\pi$
$193$	−0.881788	+	11.7666i	−0.0634725	+	0.846981i	−0.934549	+	0.355834i	$0.884197\pi$
$194$	−7.70048	+	1.15108i	−0.552862	+	0.0826429i
$195$	−2.35055			−0.168326
$196$	12.3780	−	6.54113i	0.884139	−	0.467223i
$197$	18.4003			1.31097			0.655485	−	0.755208i	$-0.272464\pi$
$197$	18.4003			1.31097			0.655485	+	0.755208i	$0.272464\pi$
$198$	1.78359	−	0.266615i	0.126755	−	0.0189475i
$199$	1.46413	−	19.5375i	0.103789	−	1.38497i	−0.665655	−	0.746260i	$-0.731848\pi$
$199$	1.46413	−	19.5375i	0.103789	−	1.38497i	0.769444	−	0.638714i	$-0.220533\pi$
$200$	−4.18456	+	4.47700i	−0.295893	+	0.316572i
$201$	−6.73080	+	9.87227i	−0.474754	+	0.696336i
$202$	−0.326299	−	4.42640i	−0.0229583	−	0.311441i
$203$	5.64162	−	1.86388i	0.395964	−	0.130818i
$204$	13.3243	+	1.03112i	0.932890	+	0.0721931i
$205$	−7.11981	−	1.07314i	−0.497269	−	0.0749512i
$206$	10.5552	−	21.8502i	0.735419	−	1.52237i
$207$	−1.33589	−	8.86306i	−0.0928509	−	0.616025i
$208$	1.90865	−	6.08247i	0.132341	−	0.421743i
$209$	1.23752	−	0.986892i	0.0856012	−	0.0682647i
$210$	−5.01582	−	2.30112i	−0.346125	−	0.158792i
$211$	−14.3403	−	11.4360i	−0.987225	−	0.787286i	−0.0100994	−	0.999949i	$-0.503215\pi$
$211$	−14.3403	−	11.4360i	−0.987225	−	0.787286i	−0.977126	+	0.212663i	$0.931786\pi$
$212$	11.8503	+	5.74236i	0.813881	+	0.394387i
$213$	3.77968	−	12.2534i	0.258980	−	0.839592i
$214$	−1.89904	−	0.00230999i	−0.129816	−	0.000157907i
$215$	2.75962	+	4.77980i	0.188205	+	0.325980i
$216$	−12.6523	+	2.83927i	−0.860881	+	0.193188i
$217$	6.13770	+	2.80677i	0.416654	+	0.190536i
$218$	1.33232	+	4.33800i	0.0902361	+	0.293807i
$219$	1.92611	+	6.24431i	0.130155	+	0.421951i
$220$	1.90097	+	0.291257i	0.128164	+	0.0196366i
$221$	4.44038	+	11.3139i	0.298692	+	0.761056i
$222$	7.48353	−	8.04568i	0.502262	−	0.539991i
$223$	−3.06963	+	13.4489i	−0.205558	+	0.900608i	0.761924	+	0.647667i	$0.224255\pi$
$223$	−3.06963	+	13.4489i	−0.205558	+	0.900608i	−0.967482	+	0.252941i	$0.918602\pi$
$224$	10.0274	−	11.1108i	0.669986	−	0.742374i
$225$	1.07622	+	4.71523i	0.0717481	+	0.314349i
$226$	−13.5602	−	7.85100i	−0.902012	−	0.522241i
$227$	−14.8552	+	25.7300i	−0.985977	+	1.70776i	−0.348466	+	0.937321i	$0.613297\pi$
$227$	−14.8552	+	25.7300i	−0.985977	+	1.70776i	−0.637511	+	0.770441i	$0.720036\pi$
$228$	−3.56741	+	3.29396i	−0.236258	+	0.218148i
$229$	−8.91076	+	0.667769i	−0.588839	+	0.0441274i	−0.365818	−	0.930686i	$-0.619211\pi$
$229$	−8.91076	+	0.667769i	−0.588839	+	0.0441274i	−0.223021	+	0.974814i	$0.571592\pi$
$230$	1.43609	−	9.44982i	0.0946930	−	0.623103i
$231$	−0.223382	−	1.30532i	−0.0146975	−	0.0858838i
$232$	4.98043	−	3.94212i	0.326982	−	0.258813i
$233$	−6.79995	+	6.30943i	−0.445479	+	0.413344i	−0.870753	−	0.491720i	$-0.836368\pi$
$233$	−6.79995	+	6.30943i	−0.445479	+	0.413344i	0.425274	+	0.905065i	$0.360178\pi$
$234$	−3.13214	−	3.93740i	−0.204755	−	0.257396i
$235$	−5.99700	−	8.79598i	−0.391201	−	0.573786i
$236$	−15.2569	+	19.0363i	−0.993137	+	1.23916i
$237$	5.41271	+	11.2396i	0.351593	+	0.730091i
$238$	−1.60068	+	28.4897i	−0.103757	+	1.84671i
$239$	5.18416	−	10.7650i	0.335336	−	0.696332i	−0.663311	−	0.748344i	$-0.730849\pi$
$239$	5.18416	−	10.7650i	0.335336	−	0.696332i	0.998646	+	0.0520124i	$0.0165635\pi$
$240$	−5.88080	−	0.469490i	−0.379604	−	0.0303054i
$241$	18.2738	−	19.6945i	1.17712	−	1.26863i	0.221123	−	0.975246i	$-0.429028\pi$
$241$	18.2738	−	19.6945i	1.17712	−	1.26863i	0.955994	−	0.293385i	$-0.0947819\pi$
$242$	−6.53286	−	13.6079i	−0.419948	−	0.874751i
$243$	−5.88259	+	14.9886i	−0.377369	+	0.961520i
$244$	11.0958	+	6.44223i	0.710339	+	0.412422i
$245$	4.68613	−	10.8109i	0.299386	−	0.690683i
$246$	2.64464	+	4.59354i	0.168616	+	0.292874i
$247$	−4.11066	−	1.61331i	−0.261555	−	0.102653i
$248$	7.19282	+	0.565430i	0.456744	+	0.0359048i
$249$	3.74880	+	3.47838i	0.237571	+	0.220433i
$250$	−1.29560	+	17.0108i	−0.0819407	+	1.07586i
$251$	−10.0704	−	4.84967i	−0.635641	−	0.306109i	0.0881715	−	0.996105i	$-0.471898\pi$
$251$	−10.0704	−	4.84967i	−0.635641	−	0.306109i	−0.723812	+	0.689997i	$0.757612\pi$
$252$	−2.82907	−	11.4683i	−0.178214	−	0.722434i
$253$	2.06660	−	0.995224i	0.129926	−	0.0625692i
$254$	2.95396	+	7.55356i	0.185348	+	0.473953i
$255$	9.29329	−	6.33606i	0.581969	−	0.396779i
$256$	5.99011	−	14.8364i	0.374382	−	0.927275i
$257$	−4.23073	−	4.55964i	−0.263906	−	0.284423i	0.587172	−	0.809462i	$-0.300241\pi$
$257$	−4.23073	−	4.55964i	−0.263906	−	0.284423i	−0.851078	+	0.525039i	$0.824051\pi$
$258$	1.48898	−	3.78032i	0.0926996	−	0.235353i
$259$	17.5122	+	15.6124i	1.08816	+	0.970108i
$260$	−1.94801	−	4.99919i	−0.120811	−	0.310036i
$261$	−0.374622	−	4.99898i	−0.0231885	−	0.309429i
$262$	4.47626	−	1.01595i	0.276544	−	0.0627656i
$263$	21.2513	+	12.2694i	1.31041	+	0.756566i	0.982164	−	0.188025i	$-0.0602087\pi$
$263$	21.2513	+	12.2694i	1.31041	+	0.756566i	0.328247	+	0.944592i	$0.393542\pi$
$264$	−0.703388	−	1.22864i	−0.0432905	−	0.0756173i
$265$	10.8050	−	2.46617i	0.663745	−	0.151495i
$266$	−7.19233	−	7.46687i	−0.440990	−	0.457823i
$267$	1.98534	+	0.453140i	0.121501	+	0.0277317i
$268$	−26.5747	−	6.13355i	−1.62331	−	0.374666i
$269$	−22.1061	+	8.67599i	−1.34783	+	0.528985i	−0.925943	−	0.377663i	$-0.876728\pi$
$269$	−22.1061	+	8.67599i	−1.34783	+	0.528985i	−0.421888	+	0.906648i	$0.638632\pi$
$270$	−6.81478	+	8.52417i	−0.414734	+	0.518765i
$271$	1.49713	−	0.461802i	0.0909439	−	0.0280525i	−0.248949	−	0.968517i	$-0.580085\pi$
$271$	1.49713	−	0.461802i	0.0909439	−	0.0280525i	0.339893	+	0.940464i	$0.389609\pi$
$272$	8.84952	+	29.1930i	0.536581	+	1.77008i
$273$	−2.84216	+	2.36053i	−0.172015	+	0.142866i
$274$	14.0724	+	15.2035i	0.850147	+	0.918479i
$275$	−1.07188	+	0.618851i	−0.0646369	+	0.0373181i
$276$	−6.10221	+	3.50335i	−0.367310	+	0.210877i
$277$	5.00919	+	1.54513i	0.300973	+	0.0928378i	0.441564	−	0.897230i	$-0.354424\pi$
$277$	5.00919	+	1.54513i	0.300973	+	0.0928378i	−0.140591	+	0.990068i	$0.544900\pi$
$278$	11.1465	+	16.3917i	0.668521	+	0.983107i
$279$	3.55033	−	4.45197i	0.212553	−	0.266532i
$280$	0.737202	−	12.5748i	0.0440562	−	0.751488i
$281$	11.4120	+	14.3102i	0.680783	+	0.853675i	0.995426	−	0.0955352i	$-0.0304563\pi$
$281$	11.4120	+	14.3102i	0.680783	+	0.853675i	−0.314643	+	0.949210i	$0.601885\pi$
$282$	−2.31908	+	7.48593i	−0.138099	+	0.445780i
$283$	−18.0093	+	2.71446i	−1.07054	+	0.161358i	−0.660587	−	0.750749i	$-0.729693\pi$
$283$	−18.0093	+	2.71446i	−1.07054	+	0.161358i	−0.409952	+	0.912107i	$0.634455\pi$
$284$	29.1932	−	2.11632i	1.73230	−	0.125581i
$285$	−0.609077	+	4.04096i	−0.0360786	+	0.239366i
$286$	0.726591	−	1.06293i	0.0429642	−	0.0628526i
$287$	−9.68659	+	5.85247i	−0.571781	+	0.345460i
$288$	−7.04982	−	10.4765i	−0.415414	−	0.617335i
$289$	−34.0071	−	23.1857i	−2.00042	−	1.36386i
$290$	1.19590	−	5.21037i	0.0702258	−	0.305964i
$291$	4.81049	+	0.360496i	0.281996	+	0.0211327i
$292$	−11.6842	+	9.27146i	−0.683768	+	0.542571i
$293$		−	21.8237i		−	1.27496i	−0.770469	−	0.637478i	$-0.779978\pi$
$293$		−	21.8237i		−	1.27496i	0.770469	−	0.637478i	$-0.220022\pi$
$294$	−8.37577	+	2.25474i	−0.488485	+	0.131499i
$295$			20.5322i			1.19543i
$296$	23.3137	+	9.24826i	1.35508	+	0.537544i
$297$	−2.61162	−	0.195714i	−0.151542	−	0.0113565i
$298$	14.1008	+	3.23647i	0.816838	+	0.187484i
$299$	−5.28729	−	3.60482i	−0.305772	−	0.208472i
$300$	3.14225	−	2.13117i	0.181418	−	0.123043i
$301$	8.13689	+	3.00814i	0.469003	+	0.173386i
$302$	7.71380	+	5.27293i	0.443879	+	0.303423i
$303$	−0.409851	+	2.71918i	−0.0235453	+	0.156213i
$304$	−9.96215	−	4.85737i	−0.571369	−	0.278589i
$305$	10.6779	−	1.60943i	0.611415	−	0.0921559i
$306$	22.9970	+	7.12428i	1.31465	+	0.407268i
$307$	−0.579969	−	0.727258i	−0.0331006	−	0.0415068i	0.765006	−	0.644024i	$-0.222736\pi$
$307$	−0.579969	−	0.727258i	−0.0331006	−	0.0415068i	−0.798106	+	0.602517i	$0.794165\pi$
$308$	2.59105	−	1.55688i	0.147639	−	0.0887113i
$309$	−9.37384	+	11.7544i	−0.533259	+	0.668686i
$310$	5.02139	−	3.41459i	0.285196	−	0.193936i
$311$	15.9764	+	4.92807i	0.905940	+	0.279445i	0.712504	−	0.701668i	$-0.247561\pi$
$311$	15.9764	+	4.92807i	0.905940	+	0.279445i	0.193435	+	0.981113i	$0.438037\pi$
$312$	−1.98731	+	3.41329i	−0.112509	+	0.193240i
$313$	9.95528	−	5.74769i	0.562706	−	0.324878i	−0.191525	−	0.981488i	$-0.561343\pi$
$313$	9.95528	−	5.74769i	0.562706	−	0.324878i	0.754231	+	0.656609i	$0.228010\pi$
$314$	0.837083	−	0.774807i	0.0472393	−	0.0437249i
$315$	−7.89426	−	6.04256i	−0.444791	−	0.340459i
$316$	−19.4188	+	20.8267i	−1.09239	+	1.17159i
$317$	18.7960	−	5.79779i	1.05569	−	0.325636i	0.282139	−	0.959374i	$-0.408956\pi$
$317$	18.7960	−	5.79779i	1.05569	−	0.325636i	0.773548	+	0.633737i	$0.218480\pi$
$318$	−6.37250	−	5.09459i	−0.357352	−	0.285690i
$319$	1.19419	−	0.468685i	0.0668618	−	0.0262413i
$320$	−3.87519	−	12.8965i	−0.216629	−	0.720935i
$321$	1.14709	+	0.261815i	0.0640242	+	0.0146131i
$322$	−7.75353	−	12.8684i	−0.432087	−	0.717129i
$323$	20.6010	−	4.70204i	1.14627	−	0.261629i
$324$	−5.35970	−	0.0130390i	−0.297761	−	0.000724391i
$325$	2.99039	+	1.72650i	0.165877	+	0.0957691i
$326$	1.00929	+	4.44692i	0.0558995	+	0.246292i
$327$	−0.210110	−	2.80373i	−0.0116191	−	0.155047i
$328$	−7.57789	+	9.43156i	−0.418419	+	0.520771i
$329$	−16.0846	−	4.61316i	−0.886773	−	0.254332i
$330$	−1.10863	−	0.436662i	−0.0610280	−	0.0240375i
$331$	11.5635	+	12.4624i	0.635585	+	0.684997i	0.965912	−	0.258869i	$-0.0833497\pi$
$331$	11.5635	+	12.4624i	0.635585	+	0.684997i	−0.330328	+	0.943866i	$0.607159\pi$
$332$	−4.29107	+	10.8557i	−0.235503	+	0.595785i
$333$	16.3551	−	11.1507i	0.896253	−	0.611055i
$334$	5.71402	−	2.23457i	0.312657	−	0.122270i
$335$	−20.6809	+	9.95941i	−1.12992	+	0.544140i
$336$	−7.58223	+	5.33810i	−0.413645	+	0.291217i
$337$	−2.76017	−	1.32923i	−0.150356	−	0.0724075i	0.357193	−	0.934031i	$-0.383734\pi$
$337$	−2.76017	−	1.32923i	−0.150356	−	0.0724075i	−0.507549	+	0.861623i	$0.669448\pi$
$338$	14.7500	+	1.12340i	0.802295	+	0.0611052i
$339$	7.11647	+	6.60312i	0.386514	+	0.358632i
$340$	21.1775	+	14.5141i	1.14851	+	0.787140i
$341$	1.35649	+	0.532382i	0.0734578	+	0.0288301i
$342$	−7.58062	+	4.36439i	−0.409913	+	0.235999i
$343$	−5.19061	−	17.7780i	−0.280266	−	0.959922i
$344$	9.27405	+	0.0338428i	0.500023	+	0.00182468i
$345$	−2.16356	+	5.51266i	−0.116482	+	0.296791i
$346$	8.50919	−	4.08507i	0.457457	−	0.219615i
$347$	−6.42286	+	6.92220i	−0.344797	+	0.371603i	−0.881513	−	0.472160i	$-0.843474\pi$
$347$	−6.42286	+	6.92220i	−0.344797	+	0.371603i	0.536715	+	0.843763i	$0.319665\pi$
$348$	−3.54977	+	1.69885i	−0.190288	+	0.0910681i
$349$	−1.33015	+	2.76208i	−0.0712012	+	0.147851i	−0.933532	−	0.358495i	$-0.883290\pi$
$349$	−1.33015	+	2.76208i	−0.0712012	+	0.147851i	0.862330	+	0.506346i	$0.169004\pi$
$350$	4.69098	+	6.61168i	0.250744	+	0.353409i
$351$	3.17016	+	6.58290i	0.169210	+	0.351369i
$352$	2.03015	−	2.51421i	0.108207	−	0.134008i
$353$	−13.2914	−	19.4949i	−0.707429	−	1.03761i	−0.996764	−	0.0803797i	$-0.974387\pi$
$353$	−13.2914	−	19.4949i	−0.707429	−	1.03761i	0.289336	−	0.957228i	$-0.406566\pi$
$354$	11.8287	−	9.40955i	0.628688	−	0.500112i
$355$	18.0583	−	16.7557i	0.958436	−	0.889299i
$356$	0.681599	+	4.59799i	0.0361247	+	0.243693i
$357$	4.87398	−	16.9940i	0.257958	−	0.899418i
$358$	−15.6616	−	2.38009i	−0.827741	−	0.125792i
$359$	−28.0643	+	2.10313i	−1.48118	+	0.110999i	−0.790633	−	0.612290i	$-0.790249\pi$
$359$	−28.0643	+	2.10313i	−1.48118	+	0.110999i	−0.690545	+	0.723289i	$0.742629\pi$
$360$	−10.1442	−	3.16964i	−0.534644	−	0.167055i
$361$	5.66130	−	9.80565i	0.297963	−	0.516087i
$362$	−13.9571	+	24.1067i	−0.733570	+	1.26702i
$363$	2.08108	+	9.11779i	0.109228	+	0.478560i
$364$	−7.37586	−	4.08846i	−0.386600	−	0.214294i
$365$	−2.79344	+	12.2389i	−0.146215	+	0.640612i
$366$	−5.82069	−	5.41400i	−0.304252	−	0.282994i
$367$	−12.6489	−	32.2289i	−0.660268	−	1.68234i	−0.728835	−	0.684689i	$-0.759938\pi$
$367$	−12.6489	−	32.2289i	−0.660268	−	1.68234i	0.0685674	−	0.997646i	$-0.478157\pi$
$368$	−12.5082	−	10.0749i	−0.652034	−	0.525190i
$369$	2.81451	+	9.12441i	0.146517	+	0.474998i
$370$	20.1787	−	6.19744i	1.04904	−	0.322190i
$371$	10.5882	−	13.8329i	0.549711	−	0.718166i
$372$	−4.26837	−	1.32800i	−0.221305	−	0.0688535i
$373$	−12.1308	−	21.0112i	−0.628111	−	1.08792i	−0.987930	−	0.154898i	$-0.950495\pi$
$373$	−12.1308	−	21.0112i	−0.628111	−	1.08792i	0.359820	−	0.933022i	$-0.382838\pi$
$374$	−0.00749428	+	6.16106i	−0.000387520	+	0.318581i
$375$	3.11553	−	10.1003i	0.160885	−	0.521577i
$376$	−17.8431	+	1.27170i	−0.920190	+	0.0655828i
$377$	−2.79819	−	2.23148i	−0.144114	−	0.114927i
$378$	0.320315	+	17.1507i	0.0164752	+	0.882138i
$379$	20.3708	−	16.2452i	1.04638	−	0.834458i	0.0598749	−	0.998206i	$-0.480930\pi$
$379$	20.3708	−	16.2452i	1.04638	−	0.834458i	0.986502	+	0.163748i	$0.0523584\pi$
$380$	−9.09917	+	2.05355i	−0.466778	+	0.105345i
$381$	−0.748949	−	4.96895i	−0.0383698	−	0.254567i
$382$	−12.9765	−	6.26862i	−0.663937	−	0.320731i
$383$	16.2668	+	2.45183i	0.831197	+	0.125283i	0.550838	−	0.834612i	$-0.314308\pi$
$383$	16.2668	+	2.45183i	0.831197	+	0.125283i	0.280359	+	0.959895i	$0.409546\pi$
$384$	−5.65377	+	8.14273i	−0.288518	+	0.415532i
$385$	0.882177	−	2.38625i	0.0449599	−	0.121615i
$386$	16.6420	−	1.22679i	0.847058	−	0.0624422i
$387$	4.12315	−	6.04756i	0.209592	−	0.307415i
$388$	3.21998	+	10.5298i	0.163470	+	0.534569i
$389$	2.15837	−	28.8014i	0.109434	−	1.46029i	−0.624477	−	0.781043i	$-0.714688\pi$
$389$	2.15837	−	28.8014i	0.109434	−	1.46029i	0.733911	−	0.679246i	$-0.237693\pi$
$390$	0.491444	+	3.28765i	0.0248852	+	0.166477i
$391$	30.6213			1.54858
$392$	−11.7368	−	15.9451i	−0.592800	−	0.805350i
$393$	−2.84388			−0.143455
$394$	−3.84708	−	25.7361i	−0.193813	−	1.29656i
$395$	−1.79096	+	23.8987i	−0.0901129	+	1.20247i
$396$	−0.745815	−	2.43892i	−0.0374786	−	0.122561i
$397$	−9.03335	+	13.2495i	−0.453371	+	0.664973i	−0.983074	−	0.183210i	$-0.941351\pi$
$397$	−9.03335	+	13.2495i	−0.453371	+	0.664973i	0.529703	+	0.848183i	$0.322303\pi$
$398$	−27.6326	+	2.03698i	−1.38510	+	0.102105i
$399$	3.32167	+	5.49778i	0.166291	+	0.275233i
$400$	7.13676	+	4.91679i	0.356838	+	0.245840i
$401$	2.07975	+	0.313471i	0.103858	+	0.0156540i	0.200765	−	0.979639i	$-0.435657\pi$
$401$	2.07975	+	0.313471i	0.103858	+	0.0156540i	−0.0969078	+	0.995293i	$0.530895\pi$
$402$	15.2153	+	7.35013i	0.758872	+	0.366591i
$403$	−0.605919	−	4.02001i	−0.0301830	−	0.200251i
$404$	−6.12287	+	1.38184i	−0.304624	+	0.0687492i
$405$	−3.52677	+	2.81250i	−0.175247	+	0.139754i
$406$	−3.78648	−	7.50109i	−0.187920	−	0.372273i
$407$	3.96046	+	3.15836i	0.196313	+	0.156554i
$408$	−1.34360	−	18.8520i	−0.0665180	−	0.933312i
$409$	−1.59225	+	5.16196i	−0.0787319	+	0.255243i	−0.986378	−	0.164493i	$-0.947401\pi$
$409$	−1.59225	+	5.16196i	−0.0787319	+	0.255243i	0.907646	+	0.419736i	$0.137877\pi$
$410$	−0.0123861	+	10.1826i	−0.000611707	+	0.502885i
$411$	−6.41769	−	11.1158i	−0.316561	−	0.548300i
$412$	−32.7681	−	10.1950i	−1.61437	−	0.502271i
$413$	20.6195	+	24.8265i	1.01462	+	1.22163i
$414$	−12.1172	+	3.72153i	−0.595529	+	0.182903i
$415$	2.89579	+	9.38794i	0.142149	+	0.460836i
$416$	−8.90644	−	1.39788i	−0.436674	−	0.0685367i
$417$	−4.48689	−	11.4324i	−0.219724	−	0.559847i
$418$	−1.63908	−	1.52455i	−0.0801698	−	0.0745684i
$419$	7.97138	−	34.9249i	0.389428	−	1.70619i	−0.277208	−	0.960810i	$-0.589409\pi$
$419$	7.97138	−	34.9249i	0.389428	−	1.70619i	0.666636	−	0.745384i	$-0.267734\pi$
$420$	−2.16982	+	7.49661i	−0.105877	+	0.365797i
$421$	−0.450896	−	1.97550i	−0.0219753	−	0.0962802i	0.962751	−	0.270390i	$-0.0871525\pi$
$421$	−0.450896	−	1.97550i	−0.0219753	−	0.0962802i	−0.984726	+	0.174109i	$0.944295\pi$
$422$	−12.9970	+	22.4483i	−0.632684	+	1.09277i
$423$	−7.05901	+	12.2266i	−0.343221	+	0.594476i
$424$	5.55407	−	17.7753i	0.269729	−	0.863244i
$425$	−16.4769	+	1.23477i	−0.799248	+	0.0598953i
$426$	−17.9288	−	2.72464i	−0.868653	−	0.132009i
$427$	11.2949	−	12.6693i	0.546597	−	0.613110i
$428$	0.393814	+	2.65662i	0.0190357	+	0.128413i
$429$	−0.584769	+	0.542586i	−0.0282329	+	0.0261963i
$430$	6.10841	−	4.85915i	0.294574	−	0.234329i
$431$	2.01453	+	2.95477i	0.0970365	+	0.142326i	0.871687	−	0.490064i	$-0.163026\pi$
$431$	2.01453	+	2.95477i	0.0970365	+	0.142326i	−0.774650	+	0.632390i	$0.782074\pi$
$432$	6.61652	+	17.1028i	0.318337	+	0.822861i
$433$	−0.339176	−	0.704307i	−0.0162998	−	0.0338468i	0.892660	−	0.450731i	$-0.148836\pi$
$433$	−0.339176	−	0.704307i	−0.0162998	−	0.0338468i	−0.908960	+	0.416884i	$0.863122\pi$
$434$	2.64251	−	9.17147i	0.126844	−	0.440244i
$435$	−1.43707	+	2.98411i	−0.0689024	+	0.143077i
$436$	5.78889	−	2.77046i	0.277238	−	0.132681i
$437$	−7.56730	+	8.15561i	−0.361993	+	0.390136i
$438$	8.33104	−	3.99954i	0.398072	−	0.191105i
$439$	−0.155546	+	0.396325i	−0.00742382	+	0.0189156i	−0.934538	−	0.355864i	$-0.884187\pi$
$439$	−0.155546	+	0.396325i	−0.00742382	+	0.0189156i	0.927114	+	0.374780i	$0.122282\pi$
$440$	0.00992485	−	2.71974i	0.000473149	−	0.129658i
$441$	−15.6135	+	0.621457i	−0.743502	+	0.0295932i
$442$	14.8961	−	8.57611i	0.708534	−	0.407924i
$443$	23.1684	+	9.09293i	1.10076	+	0.432018i	0.845025	−	0.534728i	$-0.179586\pi$
$443$	23.1684	+	9.09293i	1.10076	+	0.432018i	0.255740	+	0.966746i	$0.417681\pi$
$444$	−12.8179	−	8.78486i	−0.608311	−	0.416911i
$445$	2.86777	+	2.66090i	0.135945	+	0.126139i
$446$	19.4525	+	1.48156i	0.921101	+	0.0701538i
$447$	−8.07590	−	3.88915i	−0.381977	−	0.183950i
$448$	−17.6369	−	11.7021i	−0.833267	−	0.552871i
$449$	−0.731638	+	0.352338i	−0.0345281	+	0.0166279i	−0.451068	−	0.892490i	$-0.648957\pi$
$449$	−0.731638	+	0.352338i	−0.0345281	+	0.0166279i	0.416540	+	0.909117i	$0.363243\pi$
$450$	6.37006	−	2.49113i	0.300288	−	0.117433i
$451$	−2.01898	+	1.37652i	−0.0950701	+	0.0648177i
$452$	−8.14587	+	20.6078i	−0.383149	+	0.969308i
$453$	−3.93759	−	4.24372i	−0.185004	−	0.199387i
$454$	39.0938	+	15.3981i	1.83476	+	0.722668i
$455$	−6.99594	+	1.19723i	−0.327975	+	0.0561271i
$456$	5.35304	+	4.30096i	0.250679	+	0.201411i
$457$	2.04132	+	27.2396i	0.0954891	+	1.27421i	0.814889	+	0.579617i	$0.196798\pi$
$457$	2.04132	+	27.2396i	0.0954891	+	1.27421i	−0.719400	+	0.694596i	$0.755583\pi$
$458$	2.79702	+	12.3236i	0.130696	+	0.575845i
$459$	−30.2784	−	17.4812i	−1.41327	−	0.815954i
$460$	−13.5175	−	0.0328852i	−0.630255	−	0.00153328i
$461$	23.3697	−	5.33398i	1.08844	−	0.248428i	0.359593	−	0.933109i	$-0.382916\pi$
$461$	23.3697	−	5.33398i	1.08844	−	0.248428i	0.728843	+	0.684681i	$0.240058\pi$
$462$	−1.77901	+	0.585351i	−0.0827672	+	0.0272330i
$463$	−26.4073	−	6.02730i	−1.22725	−	0.280112i	−0.440711	−	0.897649i	$-0.645274\pi$
$463$	−26.4073	−	6.02730i	−1.22725	−	0.280112i	−0.786542	+	0.617537i	$0.788131\pi$
$464$	−6.55503	−	6.14180i	−0.304309	−	0.285126i
$465$	−3.50218	+	1.37450i	−0.162410	+	0.0637411i
$466$	10.2465	+	8.19175i	0.474662	+	0.379475i
$467$	−29.1501	+	8.99162i	−1.34891	+	0.416082i	−0.883258	−	0.468887i	$-0.844655\pi$
$467$	−29.1501	+	8.99162i	−1.34891	+	0.416082i	−0.465648	+	0.884970i	$0.654179\pi$
$468$	−4.85228	+	5.20406i	−0.224297	+	0.240558i
$469$	−15.0046	+	32.8112i	−0.692846	+	1.51508i
$470$	−11.0489	+	10.2269i	−0.509646	+	0.471730i
$471$	−0.612017	+	0.353348i	−0.0282003	+	0.0162814i
$472$	29.8154	+	17.3593i	1.37237	+	0.799028i
$473$	1.78988	+	0.552105i	0.0822987	+	0.0253858i
$474$	14.5889	−	9.92055i	0.670089	−	0.455666i
$475$	3.74300	−	4.69358i	0.171741	−	0.215356i
$476$	40.1825	−	3.71770i	1.84176	−	0.170400i
$477$	−9.16381	−	11.4911i	−0.419582	−	0.526139i
$478$	−16.1406	−	5.00024i	−0.738256	−	0.228706i
$479$	−15.9460	+	2.40347i	−0.728591	+	0.109817i	−0.502855	−	0.864371i	$-0.667717\pi$
$479$	−15.9460	+	2.40347i	−0.728591	+	0.109817i	−0.225737	+	0.974188i	$0.572479\pi$
$480$	0.572873	+	8.32347i	0.0261480	+	0.379913i
$481$	2.10631	−	13.9745i	0.0960396	−	0.637181i
$482$	−31.3667	−	21.4414i	−1.42871	−	0.976629i
$483$	2.92002	+	8.83836i	0.132865	+	0.402159i
$484$	−17.6672	+	11.9824i	−0.803054	+	0.544656i
$485$	7.65701	+	5.22046i	0.347687	+	0.237049i
$486$	22.1941	+	5.09406i	1.00674	+	0.231071i
$487$	−14.8804	−	1.11513i	−0.674294	−	0.0505313i	−0.266817	−	0.963747i	$-0.585972\pi$
$487$	−14.8804	−	1.11513i	−0.674294	−	0.0505313i	−0.407476	+	0.913216i	$0.633591\pi$
$488$	6.69070	−	16.8664i	0.302874	−	0.763505i
$489$		−	2.82524i		−	0.127762i
$490$	−16.1007	−	4.29406i	−0.727354	−	0.193986i
$491$			16.1165i			0.727329i	0.931530	+	0.363665i	$0.118475\pi$
$491$			16.1165i			0.727329i	−0.931530	+	0.363665i	$0.881525\pi$
$492$	5.87193	−	4.65939i	0.264727	−	0.210061i
$493$	17.0782	+	1.27983i	0.769164	+	0.0576409i
$494$	−1.39706	+	6.08678i	−0.0628566	+	0.273857i
$495$	−1.77353	−	1.20917i	−0.0797141	−	0.0543481i
$496$	−0.712997	−	10.1786i	−0.0320145	−	0.457034i
$497$	5.00831	−	38.3951i	0.224653	−	1.72226i
$498$	4.08133	−	5.97060i	0.182889	−	0.267549i
$499$	−4.42628	+	29.3665i	−0.198148	+	1.31462i	0.639660	+	0.768658i	$0.279075\pi$
$499$	−4.42628	+	29.3665i	−0.198148	+	1.31462i	−0.837808	+	0.545966i	$0.816163\pi$
$500$	24.0635	−	1.74445i	1.07615	−	0.0780142i
$501$	−3.75885	+	0.566555i	−0.167933	+	0.0253118i
$502$	−4.67761	+	15.0992i	−0.208772	+	0.673911i
$503$	−3.68772	−	4.62426i	−0.164427	−	0.206185i	0.692791	−	0.721138i	$-0.256381\pi$
$503$	−3.68772	−	4.62426i	−0.164427	−	0.206185i	−0.857218	+	0.514953i	$0.827809\pi$
$504$	−15.4489	+	6.35469i	−0.688148	+	0.283060i
$505$	−3.29378	+	4.13026i	−0.146571	+	0.183794i
$506$	−1.82407	−	2.68242i	−0.0810898	−	0.119248i
$507$	−8.75792	−	2.70146i	−0.388953	−	0.119976i
$508$	9.94736	−	5.71089i	0.441343	−	0.253380i
$509$	−0.220533	+	0.127325i	−0.00977497	+	0.00564358i	−0.504880	−	0.863190i	$-0.668463\pi$
$509$	−0.220533	+	0.127325i	−0.00977497	+	0.00564358i	0.495105	+	0.868833i	$0.335130\pi$
$510$	−10.8051	−	11.6736i	−0.478457	−	0.516914i
$511$	8.91318	+	17.6039i	0.394296	+	0.778751i
$512$	−22.0037	−	5.27627i	−0.972433	−	0.233180i
$513$	12.1385	−	3.74423i	0.535928	−	0.165312i
$514$	−5.49291	+	6.87072i	−0.242282	+	0.303055i
$515$	−26.8861	+	10.5520i	−1.18474	+	0.464977i
$516$	−5.59875	−	1.29222i	−0.246471	−	0.0568866i
$517$	−3.52234	−	0.803952i	−0.154912	−	0.0353578i
$518$	18.1753	−	27.7581i	0.798576	−	1.21962i
$519$	−5.70145	+	1.30132i	−0.250266	+	0.0571216i
$520$	−6.58495	+	3.76985i	−0.288769	+	0.165319i
$521$	−10.0856	−	5.82293i	−0.441859	−	0.255107i	0.262527	−	0.964925i	$-0.415444\pi$
$521$	−10.0856	−	5.82293i	−0.441859	−	0.255107i	−0.704386	+	0.709817i	$0.748777\pi$
$522$	−6.91361	+	1.56914i	−0.302601	+	0.0686794i
$523$	−3.13716	−	41.8625i	−0.137178	−	1.83052i	−0.464462	−	0.885593i	$-0.653752\pi$
$523$	−3.13716	−	41.8625i	−0.137178	−	1.83052i	0.327283	−	0.944926i	$-0.393867\pi$
$524$	−2.35686	−	6.04841i	−0.102960	−	0.264226i
$525$	−1.92762	−	4.63807i	−0.0841284	−	0.202422i
$526$	12.7178	−	32.2889i	0.554522	−	1.40786i
$527$	13.2318	+	14.2605i	0.576387	+	0.621197i
$528$	−1.57140	+	1.24069i	−0.0683863	+	0.0539940i
$529$	5.68256	−	3.87430i	0.247068	−	0.168448i
$530$	−5.70843	−	14.5970i	−0.247958	−	0.634055i
$531$	24.5325	−	11.8142i	1.06462	−	0.512693i
$532$	−8.93996	+	11.6209i	−0.387596	+	0.503829i
$533$	6.14210	+	2.95788i	0.266044	+	0.128120i
$534$	0.218708	−	2.87158i	0.00946442	−	0.124265i
$535$	1.65694	+	1.53742i	0.0716358	+	0.0664683i
$536$	−3.02270	+	38.4517i	−0.130561	+	1.66086i
$537$	9.13636	+	3.58576i	0.394263	+	0.154737i
$538$	16.7567	+	29.1052i	0.722434	+	1.25482i
$539$	−1.32971	−	3.77125i	−0.0572746	−	0.162439i
$540$	13.3473	+	7.74945i	0.574378	+	0.333483i
$541$	−12.7378	+	32.4555i	−0.547642	+	1.39537i	0.342427	+	0.939544i	$0.388751\pi$
$541$	−12.7378	+	32.4555i	−0.547642	+	1.39537i	−0.890069	+	0.455825i	$0.849344\pi$
$542$	−0.958924	−	1.99744i	−0.0411893	−	0.0857973i
$543$	11.7387	−	12.6513i	0.503756	−	0.542920i
$544$	38.9812	−	18.4811i	1.67131	−	0.792372i
$545$	2.34355	−	4.86643i	0.100387	−	0.208455i
$546$	3.89584	+	3.48172i	0.166727	+	0.149004i
$547$	10.6161	+	22.0446i	0.453912	+	0.942557i	0.994837	+	0.101487i	$0.0323599\pi$
$547$	10.6161	+	22.0446i	0.453912	+	0.942557i	−0.540925	+	0.841071i	$0.681926\pi$
$548$	18.3226	−	22.8614i	0.782701	−	0.976592i
$549$	−8.06704	−	11.8322i	−0.344293	−	0.504985i
$550$	1.08968	+	1.36983i	0.0464639	+	0.0584096i
$551$	−4.56134	+	4.23230i	−0.194319	+	0.180302i
$552$	6.17586	+	7.80253i	0.262862	+	0.332098i
$553$	21.8347	+	30.6956i	0.928505	+	1.30531i
$554$	1.11383	−	7.32927i	0.0473220	−	0.311391i
$555$	−13.0419	+	0.977353i	−0.553596	+	0.0414863i
$556$	20.5961	−	19.0174i	0.873471	−	0.806517i
$557$	−15.5582	+	26.9475i	−0.659220	+	1.14180i	0.321597	+	0.946876i	$0.395780\pi$
$557$	−15.5582	+	26.9475i	−0.659220	+	1.14180i	−0.980818	+	0.194927i	$0.937553\pi$
$558$	−6.96914	−	4.03495i	−0.295027	−	0.170813i
$559$	−1.16282	−	5.09463i	−0.0491819	−	0.215480i
$560$	−17.7422	+	1.59799i	−0.749743	+	0.0675274i
$561$	0.849406	−	3.72149i	0.0358620	−	0.157122i
$562$	17.6293	−	18.9536i	0.743648	−	0.799509i
$563$	−3.59819	−	9.16804i	−0.151646	−	0.386387i	0.834783	−	0.550580i	$-0.185593\pi$
$563$	−3.59819	−	9.16804i	−0.151646	−	0.386387i	−0.986428	+	0.164193i	$0.947498\pi$
$564$	10.9552	+	1.67850i	0.461298	+	0.0706777i
$565$	5.49718	+	17.8214i	0.231268	+	0.749753i
$566$	7.56195	+	24.6215i	0.317853	+	1.03492i
$567$	−1.43993	+	6.94248i	−0.0604713	+	0.291557i
$568$	−9.06367	−	40.3893i	−0.380303	−	1.69470i
$569$	−9.92672	−	17.1936i	−0.416150	−	0.720793i	0.579399	−	0.815044i	$-0.303287\pi$
$569$	−9.92672	−	17.1936i	−0.416150	−	0.720793i	−0.995548	+	0.0942518i	$0.969954\pi$
$570$	5.77933	+	0.00702995i	0.242070	+	0.000294452i
$571$	−10.8362	+	35.1300i	−0.453479	+	1.47014i	0.383825	+	0.923406i	$0.374606\pi$
$571$	−10.8362	+	35.1300i	−0.453479	+	1.47014i	−0.837304	+	0.546737i	$0.815870\pi$
$572$	−1.63861	−	0.794029i	−0.0685137	−	0.0332000i
$573$	6.98080	+	5.56700i	0.291627	+	0.232565i
$574$	10.2109	+	12.3248i	0.426196	+	0.514425i
$575$	6.80160	−	5.42410i	0.283646	−	0.226201i
$576$	−13.1793	+	12.0508i	−0.549136	+	0.502116i
$577$	2.05685	+	13.6463i	0.0856279	+	0.568104i	0.989968	+	0.141291i	$0.0451254\pi$
$577$	2.05685	+	13.6463i	0.0856279	+	0.568104i	−0.904340	+	0.426812i	$0.859636\pi$
$578$	−25.3191	+	52.4125i	−1.05314	+	2.18007i
$579$	−10.2234	−	1.54092i	−0.424869	−	0.0640387i
$580$	−7.53764	−	0.583312i	−0.312984	−	0.0242207i
$581$	12.9293	+	8.44330i	0.536396	+	0.350287i
$582$	−0.501543	−	6.80367i	−0.0207896	−	0.282021i
$583$	2.11879	−	3.10769i	0.0877513	−	0.128707i
$584$	15.4106	+	14.4040i	0.637697	+	0.596041i
$585$	−0.447516	+	5.97168i	−0.0185025	+	0.246899i
$586$	−30.5243	+	4.56283i	−1.26095	+	0.188489i
$587$	46.3217			1.91190			0.955950	−	0.293530i	$-0.0948301\pi$
$587$	46.3217			1.91190			0.955950	+	0.293530i	$0.0948301\pi$
$588$	4.90482	+	11.2435i	0.202271	+	0.463676i
$589$	−7.06804			−0.291234
$590$	28.7179	−	4.29281i	1.18230	−	0.176732i
$591$	−1.20483	+	16.0773i	−0.0495600	+	0.661332i
$592$	8.06096	−	34.5418i	0.331303	−	1.41966i
$593$	22.0879	−	32.3970i	0.907041	−	1.33039i	−0.0365705	−	0.999331i	$-0.511643\pi$
$593$	22.0879	−	32.3970i	0.907041	−	1.33039i	0.943612	−	0.331054i	$-0.107404\pi$
$594$	0.272289	+	3.69373i	0.0111721	+	0.151555i
$595$	24.4324	−	23.5915i	1.00163	−	0.967157i
$596$	1.57862	−	20.3991i	0.0646626	−	0.835579i
$597$	16.9750	+	2.55857i	0.694741	+	0.104715i
$598$	−3.93651	+	8.14888i	−0.160976	+	0.333232i
$599$	0.461718	+	3.06330i	0.0188653	+	0.125163i	0.996281	−	0.0861620i	$-0.0274603\pi$
$599$	0.461718	+	3.06330i	0.0188653	+	0.125163i	−0.977416	+	0.211325i	$0.932222\pi$
$600$	−3.63779	−	3.94941i	−0.148512	−	0.161234i
$601$	−20.1753	+	16.0893i	−0.822969	+	0.656296i	−0.941634	−	0.336639i	$-0.890710\pi$
$601$	−20.1753	+	16.0893i	−0.822969	+	0.656296i	0.118665	+	0.992934i	$0.462139\pi$
$602$	2.50617	−	12.0098i	0.102144	−	0.489482i
$603$	23.7995	+	18.9795i	0.969192	+	0.772905i
$604$	5.76234	−	11.8915i	0.234466	−	0.483859i
$605$	−5.29574	+	17.1684i	−0.215303	+	0.697994i
$606$	3.88894	+	0.00473048i	0.157977	+	0.000192163i
$607$	7.78803	+	13.4893i	0.316106	+	0.547512i	0.979672	−	0.200606i	$-0.0642910\pi$
$607$	7.78803	+	13.4893i	0.316106	+	0.547512i	−0.663566	+	0.748118i	$0.730958\pi$
$608$	−4.71103	+	14.9494i	−0.191057	+	0.606277i
$609$	1.25916	+	5.05141i	0.0510237	+	0.204694i
$610$	−4.48357	−	14.5984i	−0.181534	−	0.591072i
$611$	2.97099	+	9.63172i	0.120193	+	0.389658i
$612$	5.15641	−	33.6548i	0.208436	−	1.36041i
$613$	0.545321	+	1.38946i	0.0220253	+	0.0561196i	0.941463	−	0.337115i	$-0.109451\pi$
$613$	0.545321	+	1.38946i	0.0220253	+	0.0561196i	−0.919438	+	0.393235i	$0.871356\pi$
$614$	−0.895939	+	0.963240i	−0.0361572	+	0.0388732i
$615$	1.40385	−	6.15067i	0.0566087	−	0.248019i
$616$	−2.71929	−	3.29853i	−0.109563	−	0.132902i
$617$	−4.66094	−	20.4209i	−0.187643	−	0.822116i	−0.977855	−	0.209283i	$-0.932887\pi$
$617$	−4.66094	−	20.4209i	−0.187643	−	0.822116i	0.790213	−	0.612833i	$-0.209970\pi$
$618$	18.4005	+	10.6534i	0.740175	+	0.428542i
$619$	−2.05469	+	3.55883i	−0.0825850	+	0.143041i	−0.904360	−	0.426771i	$-0.859651\pi$
$619$	−2.05469	+	3.55883i	−0.0825850	+	0.143041i	0.821775	+	0.569813i	$0.192984\pi$
$620$	−5.82575	−	6.30938i	−0.233968	−	0.253391i
$621$	18.3566	−	1.37564i	0.736625	−	0.0552024i
$622$	3.55247	−	23.3761i	0.142441	−	0.937298i
$623$	6.13977	+	0.337469i	0.245985	+	0.0135204i
$624$	5.18958	+	2.06596i	0.207750	+	0.0827045i
$625$	6.94392	−	6.44302i	0.277757	−	0.257721i
$626$	−10.1205	−	12.7225i	−0.404498	−	0.508493i
$627$	0.781266	+	1.14591i	0.0312008	+	0.0457631i
$628$	−1.25872	−	1.00881i	−0.0502282	−	0.0402560i
$629$	29.3415	+	60.9282i	1.16992	+	2.42937i
$630$	−6.80106	+	12.3048i	−0.270961	+	0.490237i
$631$	−8.22079	+	17.0706i	−0.327264	+	0.679572i	−0.998072	−	0.0620594i	$-0.980233\pi$
$631$	−8.22079	+	17.0706i	−0.327264	+	0.679572i	0.670808	+	0.741631i	$0.265947\pi$
$632$	33.1897	+	22.8062i	1.32022	+	0.907183i
$633$	10.9312	−	11.7810i	0.434475	−	0.468253i
$634$	−12.0390	−	25.0772i	−0.478130	−	0.995944i
$635$	3.52687	−	8.98632i	0.139960	−	0.356611i
$636$	−5.79333	+	9.97820i	−0.229720	+	0.395661i
$637$	−7.25681	+	8.47329i	−0.287525	+	0.335724i
$638$	−0.905214	−	1.57229i	−0.0358378	−	0.0622476i
$639$	−30.4109	−	11.9354i	−1.20303	−	0.472156i
$640$	−17.2277	+	8.11647i	−0.680986	+	0.320832i
$641$	−18.9333	−	17.5675i	−0.747820	−	0.693875i	0.211128	−	0.977458i	$-0.432286\pi$
$641$	−18.9333	−	17.5675i	−0.747820	−	0.693875i	−0.958948	+	0.283583i	$0.908477\pi$
$642$	0.126365	−	1.65914i	0.00498723	−	0.0654810i
$643$	−35.1731	−	16.9385i	−1.38709	−	0.667988i	−0.416593	−	0.909093i	$-0.636776\pi$
$643$	−35.1731	−	16.9385i	−1.38709	−	0.667988i	−0.970499	+	0.241105i	$0.922490\pi$
$644$	−16.3776	+	13.5351i	−0.645369	+	0.533359i
$645$	−4.35705	+	2.09825i	−0.171559	+	0.0826183i
$646$	−10.8838	−	27.8310i	−0.428218	−	1.09500i
$647$	19.8665	−	13.5447i	0.781031	−	0.532498i	−0.105912	−	0.994375i	$-0.533776\pi$
$647$	19.8665	−	13.5447i	0.781031	−	0.532498i	0.886944	+	0.461877i	$0.152824\pi$
$648$	1.10235	+	7.49919i	0.0433044	+	0.294596i
$649$	4.73954	+	5.10801i	0.186043	+	0.200507i
$650$	1.78959	−	4.54355i	0.0701936	−	0.178213i
$651$	−2.85431	+	5.17903i	−0.111869	+	0.202982i
$652$	6.00877	−	2.34142i	0.235322	−	0.0916969i
$653$	2.55284	+	34.0652i	0.0999002	+	1.33308i	0.791666	+	0.610954i	$0.209214\pi$
$653$	2.55284	+	34.0652i	0.0999002	+	1.33308i	−0.691766	+	0.722122i	$0.743167\pi$
$654$	−3.87757	+	0.880069i	−0.151625	+	0.0344134i
$655$	−4.73140	−	2.73168i	−0.184871	−	0.106735i
$656$	14.7760	+	8.62707i	0.576907	+	0.336831i
$657$	16.2307	−	3.70455i	0.633219	−	0.144528i
$658$	−3.08939	+	23.4616i	−0.120437	+	0.914628i
$659$	14.8789	+	3.39602i	0.579601	+	0.132290i	0.502263	−	0.864715i	$-0.332501\pi$
$659$	14.8789	+	3.39602i	0.579601	+	0.132290i	0.0773376	+	0.997005i	$0.475358\pi$
$660$	−0.378959	+	1.64191i	−0.0147510	+	0.0639111i
$661$	7.14537	−	2.80435i	0.277923	−	0.109077i	−0.222286	−	0.974982i	$-0.571352\pi$
$661$	7.14537	−	2.80435i	0.277923	−	0.109077i	0.500209	+	0.865905i	$0.333257\pi$
$662$	15.0132	−	18.7791i	0.583506	−	0.729870i
$663$	−10.1763	+	3.13897i	−0.395214	+	0.121907i
$664$	16.0808	+	3.73212i	0.624055	+	0.144834i
$665$	0.245431	+	12.3374i	0.00951742	+	0.478423i
$666$	−19.0157	−	20.5441i	−0.736842	−	0.796067i
$667$	−7.80900	+	4.50853i	−0.302366	+	0.174571i
$668$	−4.32010	−	7.52485i	−0.167150	−	0.291145i
$669$	−11.5500	−	3.56271i	−0.446550	−	0.137742i
$670$	18.2538	+	26.8436i	0.705208	+	1.03706i
$671$	2.28493	−	2.86522i	0.0882089	−	0.110610i
$672$	9.05152	+	9.48899i	0.349170	+	0.366046i
$673$	−19.8071	−	24.8373i	−0.763508	−	0.957409i	0.236390	−	0.971658i	$-0.424036\pi$
$673$	−19.8071	−	24.8373i	−0.763508	−	0.957409i	−0.999898	+	0.0142492i	$0.995464\pi$
$674$	−1.28207	+	4.13848i	−0.0493834	+	0.159408i
$675$	−9.82199	+	1.48043i	−0.378049	+	0.0569817i
$676$	−1.51260	−	20.8653i	−0.0581771	−	0.802513i
$677$	6.25724	−	41.5141i	0.240485	−	1.59552i	−0.464024	−	0.885822i	$-0.653595\pi$
$677$	6.25724	−	41.5141i	0.240485	−	1.59552i	0.704510	−	0.709694i	$-0.251167\pi$
$678$	7.74772	−	11.3342i	0.297549	−	0.435286i
$679$	14.5011	−	1.37723i	0.556501	−	0.0528534i
$680$	15.8728	−	32.6549i	0.608695	−	1.25226i
$681$	−21.5089	−	14.6645i	−0.824224	−	0.561947i
$682$	0.461019	−	2.00859i	0.0176533	−	0.0769129i
$683$	−27.3841	−	2.05215i	−1.04782	−	0.0785235i	−0.460326	−	0.887750i	$-0.652267\pi$
$683$	−27.3841	−	2.05215i	−1.04782	−	0.0785235i	−0.587497	+	0.809226i	$0.699887\pi$
$684$	7.68928	+	9.69032i	0.294007	+	0.370519i
$685$		−	24.6580i		−	0.942132i
$686$	−23.7804	+	10.9769i	−0.907940	+	0.419101i
$687$		−	7.82950i		−	0.298714i
$688$	−1.89165	−	12.9784i	−0.0721185	−	0.494798i
$689$	−10.4640	−	0.784167i	−0.398646	−	0.0298744i
$690$	8.16276	+	1.87355i	0.310751	+	0.0713246i
$691$	−43.1061	−	29.3892i	−1.63983	−	1.11802i	−0.889471	−	0.456991i	$-0.848927\pi$
$691$	−43.1061	−	29.3892i	−1.63983	−	1.11802i	−0.750361	−	0.661028i	$-0.770120\pi$
$692$	−7.49274	−	11.0475i	−0.284831	−	0.419962i
$693$	−3.35876	+	0.318997i	−0.127589	+	0.0121177i
$694$	11.0248	+	7.53622i	0.418494	+	0.286071i
$695$	3.51645	−	23.3301i	0.133387	−	0.884962i
$696$	3.11832	+	4.60978i	0.118199	+	0.174733i
$697$	−32.2570	+	4.86196i	−1.22182	+	0.184160i
$698$	4.14135	+	1.28296i	0.156753	+	0.0485606i
$699$	−5.06762	−	6.35459i	−0.191675	−	0.240353i
$700$	8.26681	−	7.94350i	0.312456	−	0.300236i
$701$	−24.5531	+	30.7886i	−0.927359	+	1.16287i	0.0589994	+	0.998258i	$0.481209\pi$
$701$	−24.5531	+	30.7886i	−0.927359	+	1.16287i	−0.986358	+	0.164613i	$0.947362\pi$
$702$	8.54452	−	5.81034i	0.322492	−	0.219297i
$703$	−23.4786	−	7.24217i	−0.885510	−	0.273144i
$704$	−3.94101	−	2.31386i	−0.148533	−	0.0872068i
$705$	8.07817	−	4.66393i	0.304241	−	0.175654i
$706$	−24.4880	+	22.6662i	−0.921620	+	0.853054i
$707$	0.165152	+	8.30187i	0.00621117	+	0.312224i
$708$	−15.6340	−	14.5772i	−0.587561	−	0.547843i
$709$	15.1506	−	4.67336i	0.568994	−	0.175512i	0.00310866	−	0.999995i	$-0.499010\pi$
$709$	15.1506	−	4.67336i	0.568994	−	0.175512i	0.565886	+	0.824484i	$0.308534\pi$
$710$	−27.2113	−	21.7545i	−1.02122	−	0.816431i
$711$	29.5853	−	11.6114i	1.10954	−	0.435460i
$712$	6.28858	−	1.91467i	0.235674	−	0.0717551i
$713$	−9.98571	−	2.27917i	−0.373968	−	0.0853557i
$714$	−24.7881	−	3.26406i	−0.927671	−	0.122154i
$715$	−1.49407	+	0.341011i	−0.0558750	+	0.0127531i
$716$	−0.0545020	+	22.4031i	−0.00203684	+	0.837242i
$717$	9.06650	+	5.23454i	0.338594	+	0.195488i
$718$	8.80918	+	38.8131i	0.328756	+	1.44849i
$719$	0.465854	+	6.21639i	0.0173734	+	0.231832i	0.999130	+	0.0416925i	$0.0132750\pi$
$719$	0.465854	+	6.21639i	0.0173734	+	0.231832i	−0.981757	+	0.190140i	$0.939106\pi$
$720$	−2.31239	+	14.8511i	−0.0861778	+	0.553466i
$721$	−21.9124	+	39.7593i	−0.816060	+	1.48071i
$722$	−14.8985	−	5.86817i	−0.554466	−	0.218391i
$723$	16.0115	+	17.2563i	0.595474	+	0.641768i
$724$	36.6355	+	14.4813i	1.36155	+	0.538194i
$725$	4.02012	−	2.74087i	0.149304	−	0.101793i
$726$	12.3177	−	4.81706i	0.457153	−	0.178778i
$727$	−34.1696	+	16.4552i	−1.26728	+	0.610289i	−0.942090	−	0.335360i	$-0.891142\pi$
$727$	−34.1696	+	16.4552i	−1.26728	+	0.610289i	−0.325189	+	0.945649i	$0.605428\pi$
$728$	−4.17630	+	11.1712i	−0.154784	+	0.414033i
$729$	−5.46772	−	2.63311i	−0.202508	−	0.0975227i
$730$	17.7022	+	1.34825i	0.655189	+	0.0499011i
$731$	18.3303	+	17.0081i	0.677972	+	0.629066i
$732$	−6.35545	+	9.27318i	−0.234904	+	0.342746i
$733$	50.1183	+	19.6700i	1.85116	+	0.726527i	0.964485	+	0.264138i	$0.0850874\pi$
$733$	50.1183	+	19.6700i	1.85116	+	0.726527i	0.886677	+	0.462390i	$0.153008\pi$
$734$	−42.4331	+	24.4300i	−1.56624	+	0.901728i
$735$	9.13919	+	4.80239i	0.337104	+	0.177139i
$736$	−11.4763	+	19.6013i	−0.423023	+	0.722513i
$737$	−2.84603	+	7.25156i	−0.104835	+	0.267115i
$738$	12.1736	−	5.84428i	0.448117	−	0.215131i
$739$	−15.1753	+	16.3551i	−0.558232	+	0.601631i	−0.947603	−	0.319450i	$-0.896502\pi$
$739$	−15.1753	+	16.3551i	−0.558232	+	0.601631i	0.389371	+	0.921081i	$0.372692\pi$
$740$	−12.8871	−	26.9277i	−0.473739	−	0.989882i
$741$	1.67879	−	3.48605i	0.0616721	−	0.128063i
$742$	−21.5614	−	11.9173i	−0.791543	−	0.437497i
$743$	3.15665	+	6.55486i	0.115806	+	0.240474i	0.950813	−	0.309766i	$-0.100251\pi$
$743$	3.15665	+	6.55486i	0.115806	+	0.240474i	−0.835007	+	0.550240i	$0.814536\pi$
$744$	−0.965020	+	6.24771i	−0.0353794	+	0.229052i
$745$	−9.70029	−	14.2277i	−0.355391	−	0.521263i
$746$	−26.8516	+	21.3600i	−0.983106	+	0.782046i
$747$	9.55072	−	8.86177i	0.349443	−	0.324235i
$748$	8.61888	−	1.27765i	0.315138	−	0.0467156i
$749$	3.54743	+	0.194982i	0.129620	+	0.00712450i
$750$	−14.7784	−	2.24587i	−0.539631	−	0.0820077i
$751$	9.13731	−	0.684747i	0.333425	−	0.0249868i	0.0930342	−	0.995663i	$-0.470343\pi$
$751$	9.13731	−	0.684747i	0.333425	−	0.0249868i	0.240391	+	0.970676i	$0.422724\pi$
$752$	5.50927	+	24.6908i	0.200902	+	0.900382i
$753$	4.89680	−	8.48151i	0.178449	−	0.309083i
$754$	−2.53607	+	4.38030i	−0.0923584	+	0.159521i
$755$	−2.47475	−	10.8426i	−0.0900653	−	0.394602i
$756$	23.9213	−	4.03383i	0.870008	−	0.146709i
$757$	5.10498	−	22.3664i	0.185543	−	0.812919i	−0.793386	−	0.608719i	$-0.791684\pi$
$757$	5.10498	−	22.3664i	0.185543	−	0.812919i	0.978929	−	0.204200i	$-0.0654593\pi$
$758$	−26.9807	−	25.0956i	−0.979984	−	0.911513i
$759$	0.734259	+	1.87086i	0.0266519	+	0.0679080i
$760$	4.77467	+	12.2974i	0.173195	+	0.446074i
$761$	−7.52966	−	24.4106i	−0.272950	−	0.884883i	−0.983449	−	0.181184i	$-0.942007\pi$
$761$	−7.52966	−	24.4106i	−0.272950	−	0.884883i	0.710499	−	0.703698i	$-0.248469\pi$
$762$	−6.79335	+	2.08642i	−0.246097	+	0.0755832i
$763$	−2.05341	−	8.23773i	−0.0743384	−	0.298226i
$764$	−6.05467	+	19.4605i	−0.219050	+	0.704058i
$765$	−14.3277	−	24.8164i	−0.518020	−	0.897238i
$766$	0.0282989	−	23.2646i	0.00102248	−	0.840585i
$767$	5.73006	−	18.5764i	0.206900	−	0.670755i
$768$	12.5711	+	6.20533i	0.453620	+	0.223916i
$769$	27.0455	+	21.5681i	0.975287	+	0.777766i	0.974993	−	0.222234i	$-0.0713350\pi$
$769$	27.0455	+	21.5681i	0.975287	+	0.777766i	0.000293856		1.00000i	$0.499906\pi$
$770$	−3.52203	−	0.734968i	−0.126925	−	0.0264864i
$771$	4.26101	−	3.39804i	0.153457	−	0.122378i
$772$	−5.19534	−	23.0203i	−0.186984	−	0.828518i
$773$	−2.01957	−	13.3990i	−0.0726389	−	0.481927i	−0.995341	−	0.0964144i	$-0.969263\pi$
$773$	−2.01957	−	13.3990i	−0.0726389	−	0.481927i	0.922702	−	0.385513i	$-0.125976\pi$
$774$	−9.32061	−	4.50254i	−0.335022	−	0.161841i
$775$	5.46509	+	0.823730i	0.196312	+	0.0295893i
$776$	14.0545	−	6.70523i	0.504528	−	0.240704i
$777$	−14.7880	+	14.2790i	−0.530518	+	0.512258i
$778$	−40.7350	+	3.00284i	−1.46042	+	0.107657i
$779$	6.67662	−	9.79280i	0.239215	−	0.350864i
$780$	4.49560	−	1.37474i	0.160968	−	0.0492236i
$781$	0.624768	−	8.33695i	0.0223560	−	0.298320i
$782$	−6.40218	−	42.8291i	−0.228942	−	1.53157i
$783$	10.2954			0.367928
$784$	−19.8481	+	19.7497i	−0.708861	+	0.705348i
$785$	−1.35763			−0.0484559
$786$	0.594588	+	3.97766i	0.0212082	+	0.141878i
$787$	−1.84719	+	24.6491i	−0.0658453	+	0.878644i	0.862293	+	0.506409i	$0.169027\pi$
$787$	−1.84719	+	24.6491i	−0.0658453	+	0.878644i	−0.928139	+	0.372235i	$0.878592\pi$
$788$	−35.1920	+	10.7616i	−1.25366	+	0.383366i
$789$	−12.1119	+	17.7650i	−0.431197	+	0.632449i
$790$	33.8009	−	2.49168i	1.20258	−	0.0886501i
$791$	24.5440	+	16.0282i	0.872685	+	0.569896i
$792$	−3.25532	+	1.55307i	−0.115673	+	0.0551861i
$793$	−10.1099	−	1.52382i	−0.359013	−	0.0541125i
$794$	20.4204	+	9.86455i	0.724692	+	0.350080i
$795$	1.44732	+	9.60235i	0.0513312	+	0.340560i
$796$	8.62641	+	38.2232i	0.305755	+	1.35478i
$797$	−9.30089	+	7.41721i	−0.329454	+	0.262731i	−0.774221	−	0.632915i	$-0.781858\pi$
$797$	−9.30089	+	7.41721i	−0.329454	+	0.262731i	0.444767	+	0.895647i	$0.353287\pi$
$798$	6.99512	−	5.79538i	0.247625	−	0.205154i
$799$	−37.7093	−	30.0721i	−1.33406	−	1.06388i
$800$	5.38486	−	11.0100i	0.190384	−	0.389262i
$801$	1.52921	−	4.95757i	0.0540319	−	0.175167i
$802$	0.00361807	−	2.97443i	0.000127759	−	0.105031i
$803$	2.13020	+	3.68961i	0.0751730	+	0.130203i
$804$	7.09927	−	22.8180i	0.250372	−	0.804730i
$805$	−3.63158	+	17.5093i	−0.127997	+	0.617123i
$806$	−5.49600	+	1.68797i	−0.193588	+	0.0594563i
$807$	−6.13318	−	19.8833i	−0.215898	−	0.699925i
$808$	3.21289	+	8.27498i	0.113029	+	0.291113i
$809$	−6.02054	−	15.3401i	−0.211671	−	0.539329i	0.785123	−	0.619340i	$-0.212600\pi$
$809$	−6.02054	−	15.3401i	−0.211671	−	0.539329i	−0.996794	+	0.0800110i	$0.974504\pi$
$810$	4.67114	+	4.34477i	0.164127	+	0.152660i
$811$	3.24032	−	14.1968i	0.113783	−	0.498517i	−0.885634	−	0.464384i	$-0.846276\pi$
$811$	3.24032	−	14.1968i	0.113783	−	0.498517i	0.999417	−	0.0341330i	$-0.0108670\pi$
$812$	−9.69991	+	6.86435i	−0.340400	+	0.240892i
$813$	0.305470	+	1.33835i	0.0107133	+	0.0469381i
$814$	3.58948	−	6.19973i	0.125811	−	0.217301i
$815$	2.71378	−	4.70040i	0.0950594	−	0.164648i
$816$	−26.0868	+	5.82076i	−0.913222	+	0.203767i
$817$	−9.05980	+	0.678938i	−0.316962	+	0.0237530i
$818$	7.55280	+	1.14780i	0.264077	+	0.0401319i
$819$	5.45594	+	7.67006i	0.190646	+	0.268013i
$820$	14.2448	−	2.11163i	0.497450	−	0.0737412i
$821$	12.5327	−	11.6286i	0.437394	−	0.405843i	−0.430501	−	0.902590i	$-0.641663\pi$
$821$	12.5327	−	11.6286i	0.437394	−	0.405843i	0.867895	+	0.496748i	$0.165473\pi$
$822$	−14.2055	+	11.3003i	−0.495475	+	0.394143i
$823$	2.72345	+	3.99457i	0.0949335	+	0.139242i	0.870767	−	0.491696i	$-0.163623\pi$
$823$	2.72345	+	3.99457i	0.0949335	+	0.139242i	−0.775834	+	0.630938i	$0.782670\pi$
$824$	−7.40842	+	47.9634i	−0.258085	+	1.67088i
$825$	−0.470536	−	0.977079i	−0.0163820	−	0.0340175i
$826$	30.4131	−	34.0305i	1.05821	−	1.18407i
$827$	8.44987	−	17.5463i	0.293831	−	0.610146i	−0.700832	−	0.713326i	$-0.747188\pi$
$827$	8.44987	−	17.5463i	0.293831	−	0.610146i	0.994663	+	0.103181i	$0.0329020\pi$
$828$	7.73863	+	16.1700i	0.268936	+	0.561945i
$829$	−4.97991	+	5.36707i	−0.172959	+	0.186406i	−0.813582	−	0.581450i	$-0.802486\pi$
$829$	−4.97991	+	5.36707i	−0.172959	+	0.186406i	0.640623	+	0.767856i	$0.278676\pi$
$830$	12.5252	−	6.01307i	0.434756	−	0.208717i
$831$	−1.67805	+	4.27561i	−0.0582110	+	0.148319i
$832$	−0.0930518	+	12.7495i	−0.00322599	+	0.442008i
$833$	5.85070	−	53.0618i	0.202715	−	1.83848i
$834$	−15.0521	+	8.66593i	−0.521211	+	0.300077i
$835$	−6.79786	−	2.66796i	−0.235249	−	0.0923286i
$836$	−1.78966	+	2.61128i	−0.0618967	+	0.0903130i
$837$	8.57276	+	7.95436i	0.296318	+	0.274943i
$838$	−50.5152	−	3.84739i	−1.74502	−	0.132906i
$839$	19.6359	+	9.45616i	0.677907	+	0.326463i	0.740962	−	0.671547i	$-0.234370\pi$
$839$	19.6359	+	9.45616i	0.677907	+	0.326463i	−0.0630545	+	0.998010i	$0.520084\pi$
$840$	10.9390	+	1.46751i	0.377430	+	0.0506339i
$841$	21.5844	−	10.3945i	0.744290	−	0.358431i
$842$	−2.66881	+	1.04369i	−0.0919734	+	0.0359678i
$843$	−13.2508	+	9.03423i	−0.456381	+	0.311156i
$844$	34.1153	+	13.4851i	1.17430	+	0.464177i
$845$	−11.9758	−	12.9068i	−0.411980	−	0.444009i
$846$	18.5768	+	7.31696i	0.638685	+	0.251562i
$847$	10.8380	+	26.0773i	0.372398	+	0.896028i
$848$	−26.0230	−	4.05193i	−0.893635	−	0.139144i
$849$	−1.19254	−	15.9133i	−0.0409279	−	0.546144i
$850$	5.17198	+	22.7877i	0.177397	+	0.781610i
$851$	−30.8351	−	17.8027i	−1.05701	−	0.610267i
$852$	−0.0623918	+	25.6462i	−0.00213751	+	0.878624i
$853$	−6.34111	+	1.44732i	−0.217115	+	0.0495552i	−0.329695	−	0.944088i	$-0.606946\pi$
$853$	−6.34111	+	1.44732i	−0.217115	+	0.0495552i	0.112579	+	0.993643i	$0.464089\pi$
$854$	−20.0817	−	13.1490i	−0.687182	−	0.449949i
$855$	10.1503	+	2.31674i	0.347133	+	0.0792309i
$856$	3.63341	−	1.10626i	0.124187	−	0.0378110i
$857$	−11.4006	+	4.47442i	−0.389438	+	0.152843i	−0.551978	−	0.833859i	$-0.686127\pi$
$857$	−11.4006	+	4.47442i	−0.389438	+	0.152843i	0.162540	+	0.986702i	$0.448031\pi$
$858$	0.881162	+	0.704459i	0.0300824	+	0.0240498i
$859$	23.4243	−	7.22544i	0.799227	−	0.246529i	0.131870	−	0.991267i	$-0.457902\pi$
$859$	23.4243	−	7.22544i	0.799227	−	0.246529i	0.667357	+	0.744738i	$0.267426\pi$
$860$	−8.07349	−	7.52774i	−0.275304	−	0.256694i
$861$	−4.47934	−	8.84687i	−0.152655	−	0.301501i
$862$	3.71157	−	3.43544i	0.126417	−	0.117012i
$863$	5.71907	−	3.30191i	0.194679	−	0.112398i	−0.399492	−	0.916737i	$-0.630813\pi$
$863$	5.71907	−	3.30191i	0.194679	−	0.112398i	0.594171	+	0.804338i	$0.297480\pi$
$864$	22.5379	−	12.8301i	0.766756	−	0.436490i
$865$	−10.7356	−	3.31149i	−0.365020	−	0.112594i
$866$	−0.914182	+	0.621651i	−0.0310652	+	0.0211246i
$867$	22.4852	−	28.1956i	0.763639	−	0.957573i
$868$	−13.3804	−	1.77847i	−0.454159	−	0.0603652i
$869$	5.07107	+	6.35893i	0.172024	+	0.215712i
$870$	4.47426	+	1.38609i	0.151692	+	0.0469928i
$871$	21.4903	−	3.23915i	0.728172	−	0.109754i
$872$	−5.08528	−	7.51753i	−0.172209	−	0.254576i
$873$	1.83172	−	12.1526i	0.0619942	−	0.411305i
$874$	12.9892	+	8.87904i	0.439366	+	0.300338i
$875$	4.12826	−	31.6484i	0.139561	−	1.06991i
$876$	−7.33587	−	10.8162i	−0.247856	−	0.365445i
$877$	−18.1251	−	12.3575i	−0.612040	−	0.417282i	0.217238	−	0.976119i	$-0.430295\pi$
$877$	−18.1251	−	12.3575i	−0.612040	−	0.417282i	−0.829278	+	0.558837i	$0.811248\pi$
$878$	0.586851	+	0.134696i	0.0198053	+	0.00454577i
$879$	19.0685	+	1.42899i	0.643164	+	0.0481985i
$880$	−3.80610	+	0.554751i	−0.128304	+	0.0187007i
$881$		−	45.9872i		−	1.54935i	−0.632361	−	0.774674i	$-0.717914\pi$
$881$		−	45.9872i		−	1.54935i	0.632361	−	0.774674i	$-0.282086\pi$
$882$	4.13364	+	21.7083i	0.139187	+	0.730957i
$883$			16.8828i			0.568151i	0.958802	+	0.284075i	$0.0916866\pi$
$883$			16.8828i			0.568151i	−0.958802	+	0.284075i	$0.908313\pi$
$884$	−15.1096	−	19.0417i	−0.508191	−	0.640441i
$885$	−17.9401	−	1.34442i	−0.603048	−	0.0451922i
$886$	7.87407	−	34.3062i	0.264535	−	1.15254i
$887$	−36.6582	−	24.9931i	−1.23086	−	0.839187i	−0.239570	−	0.970879i	$-0.577007\pi$
$887$	−36.6582	−	24.9931i	−1.23086	−	0.839187i	−0.991291	+	0.131692i	$0.957959\pi$
$888$	−9.60722	+	19.7648i	−0.322397	+	0.663262i
$889$	−4.75999	−	14.4076i	−0.159645	−	0.483217i
$890$	3.12215	−	4.56741i	0.104655	−	0.153100i
$891$	−0.228168	+	1.51379i	−0.00764390	+	0.0507140i
$892$	−1.99484	−	27.5174i	−0.0667921	−	0.921351i
$893$	17.3283	−	2.61182i	0.579869	−	0.0874012i
$894$	−3.75117	+	12.1087i	−0.125458	+	0.404974i
$895$	11.7560	+	14.7416i	0.392960	+	0.492757i
$896$	−12.6799	+	27.1149i	−0.423607	+	0.905846i
$897$	3.49591	−	4.38374i	0.116725	−	0.146369i
$898$	0.645774	+	0.949657i	0.0215498	+	0.0316905i
$899$	−5.47401	−	1.68851i	−0.182568	−	0.0563149i
$900$	−4.81610	−	8.38880i	−0.160537	−	0.279627i
$901$	43.4849	−	25.1060i	1.44869	−	0.836403i
$902$	2.34742	+	2.53610i	0.0781606	+	0.0844428i
$903$	−3.16116	+	6.91265i	−0.105197	+	0.230039i
$904$	30.5266	+	7.08481i	1.01530	+	0.235637i
$905$	31.6820	−	9.77262i	1.05315	−	0.324853i
$906$	−5.11232	+	6.39467i	−0.169845	+	0.212449i
$907$	3.74077	−	1.46814i	0.124210	−	0.0487489i	−0.302422	−	0.953174i	$-0.597795\pi$
$907$	3.74077	−	1.46814i	0.124210	−	0.0487489i	0.426632	+	0.904425i	$0.359700\pi$
$908$	13.3633	−	57.8988i	0.443477	−	1.92144i
$909$	6.83018	+	1.55894i	0.226543	+	0.0517069i
$910$	3.13722	+	9.53473i	0.103998	+	0.316073i
$911$	−13.9226	+	3.17774i	−0.461275	+	0.105283i	−0.446842	−	0.894613i	$-0.647451\pi$
$911$	−13.9226	+	3.17774i	−0.461275	+	0.105283i	−0.0144330	+	0.999896i	$0.504594\pi$
$912$	4.89644	−	8.38638i	0.162137	−	0.277701i
$913$	2.88747	+	1.66708i	0.0955613	+	0.0551724i
$914$	37.6725	−	8.55029i	1.24609	−	0.282819i
$915$	0.707071	+	9.43520i	0.0233750	+	0.311918i
$916$	16.6519	−	6.48870i	0.550195	−	0.214393i
$917$	−8.46425	+	1.44851i	−0.279514	+	0.0478339i
$918$	−18.1200	+	46.0045i	−0.598051	+	1.51837i
$919$	−15.2126	−	16.3953i	−0.501818	−	0.540831i	0.430443	−	0.902618i	$-0.358357\pi$
$919$	−15.2126	−	16.3953i	−0.501818	−	0.540831i	−0.932261	+	0.361787i	$0.882167\pi$
$920$	2.78019	+	18.9134i	0.0916601	+	0.623556i
$921$	0.673418	−	0.459129i	0.0221899	−	0.0151288i
$922$	−12.3466	−	31.5714i	−0.406612	−	1.03975i
$923$	−21.0142	+	10.1199i	−0.691692	+	0.333101i
$924$	1.19066	+	2.36588i	0.0391700	+	0.0778316i
$925$	17.3099	+	8.33599i	0.569145	+	0.274086i
$926$	−2.90908	+	38.1954i	−0.0955981	+	1.25518i
$927$	28.0780	+	26.0526i	0.922204	+	0.855680i
$928$	−7.21987	+	10.4524i	−0.237004	+	0.343118i
$929$	−14.2163	−	5.57948i	−0.466421	−	0.183057i	0.120480	−	0.992716i	$-0.461557\pi$
$929$	−14.2163	−	5.57948i	−0.466421	−	0.183057i	−0.586900	+	0.809659i	$0.699652\pi$
$930$	2.65471	+	4.61103i	0.0870512	+	0.151202i
$931$	12.6865	+	14.6712i	0.415785	+	0.480830i
$932$	9.31527	−	16.0443i	0.305132	−	0.525547i
$933$	−5.35202	+	13.6367i	−0.175217	+	0.446446i
$934$	18.6709	+	38.8915i	0.610932	+	1.27257i
$935$	4.98784	−	5.37561i	0.163120	−	0.175801i
$936$	8.29328	+	5.69871i	0.271074	+	0.186268i
$937$	−9.34267	+	19.4003i	−0.305212	+	0.633779i	−0.996007	−	0.0892712i	$-0.971546\pi$
$937$	−9.34267	+	19.4003i	−0.305212	+	0.633779i	0.690795	+	0.723050i	$0.257260\pi$
$938$	49.0292	+	14.1264i	1.60086	+	0.461244i
$939$	4.37019	+	9.07478i	0.142616	+	0.296144i
$940$	16.6141	+	13.3156i	0.541893	+	0.434306i
$941$	23.8598	+	34.9959i	0.777808	+	1.14084i	0.986645	+	0.162885i	$0.0520799\pi$
$941$	23.8598	+	34.9959i	0.777808	+	1.14084i	−0.208837	+	0.977951i	$0.566968\pi$
$942$	0.622177	+	0.782135i	0.0202716	+	0.0254833i
$943$	12.5905	−	11.6823i	0.410003	−	0.380428i
$944$	18.0463	−	45.3315i	0.587358	−	1.47541i
$945$	13.5868	−	15.2401i	0.441977	−	0.495760i
$946$	0.397992	−	2.61889i	0.0129399	−	0.0851474i
$947$	10.2376	−	0.767202i	0.332677	−	0.0249307i	0.0926554	−	0.995698i	$-0.470464\pi$
$947$	10.2376	−	0.767202i	0.332677	−	0.0249307i	0.240022	+	0.970768i	$0.422845\pi$
$948$	−16.9258	−	18.3309i	−0.549724	−	0.595360i
$949$	5.94292	−	10.2934i	0.192915	−	0.334139i
$950$	−7.34736	−	4.25392i	−0.238380	−	0.138016i
$951$	3.83509	+	16.8026i	0.124361	+	0.544862i
$952$	−13.6010	−	55.4248i	−0.440812	−	1.79633i
$953$	−7.90841	+	34.6490i	−0.256179	+	1.12239i	0.669120	+	0.743154i	$0.266671\pi$
$953$	−7.90841	+	34.6490i	−0.256179	+	1.12239i	−0.925299	+	0.379238i	$0.876186\pi$
$954$	−14.1563	+	15.2197i	−0.458327	+	0.492756i
$955$	6.26670	+	15.9673i	0.202786	+	0.516689i
$956$	−3.61907	+	23.6209i	−0.117049	+	0.763955i
$957$	0.331320	+	1.07411i	0.0107101	+	0.0347211i
$958$	6.69561	+	21.8007i	0.216325	+	0.704350i
$959$	−24.7627	−	29.8151i	−0.799630	−	0.962780i
$960$	11.5220	−	2.54150i	0.371872	−	0.0820267i
$961$	12.2465	+	21.2115i	0.395048	+	0.684243i
$962$	−19.9861	−	0.0243110i	−0.644378	−	0.000783818i
$963$	0.883546	−	2.86438i	0.0284719	−	0.0923035i
$964$	−23.4315	+	48.3547i	−0.754677	+	1.55740i
$965$	−15.5287	−	12.3837i	−0.499885	−	0.398645i
$966$	11.7515	−	5.93204i	0.378098	−	0.190860i
$967$	−1.82612	+	1.45628i	−0.0587239	+	0.0468308i	−0.652412	−	0.757865i	$-0.726243\pi$
$967$	−1.82612	+	1.45628i	−0.0587239	+	0.0468308i	0.593688	+	0.804695i	$0.297671\pi$
$968$	20.4533	+	22.2054i	0.657394	+	0.713708i
$969$	2.75949	+	18.3080i	0.0886476	+	0.588138i
$970$	5.70082	−	11.8011i	0.183042	−	0.378912i
$971$	15.6722	+	2.36220i	0.502944	+	0.0758066i	0.395614	−	0.918417i	$-0.370532\pi$
$971$	15.6722	+	2.36220i	0.502944	+	0.0758066i	0.107330	+	0.994223i	$0.465770\pi$
$972$	2.48467	−	32.1073i	0.0796959	−	1.02984i
$973$	−19.1773	−	31.7409i	−0.614797	−	1.01757i
$974$	1.55143	+	21.0459i	0.0497111	+	0.674355i
$975$	−1.70434	+	2.49980i	−0.0545825	+	0.0800578i
$976$	−24.9894	−	5.83174i	−0.799892	−	0.186669i
$977$	−1.82097	+	24.2992i	−0.0582580	+	0.777399i	0.889200	+	0.457519i	$0.151262\pi$
$977$	−1.82097	+	24.2992i	−0.0582580	+	0.777399i	−0.947458	+	0.319880i	$0.896357\pi$
$978$	−3.95159	+	0.590691i	−0.126358	+	0.0188882i
$979$	1.32767			0.0424326
$980$	−2.63972	+	23.4174i	−0.0843228	+	0.748041i
$981$	−7.16301			−0.228697
$982$	22.5418	−	3.36959i	0.719337	−	0.107528i
$983$	2.39043	−	31.8981i	0.0762430	−	1.01739i	−0.819575	−	0.572972i	$-0.805791\pi$
$983$	2.39043	−	31.8981i	0.0762430	−	1.01739i	0.895818	−	0.444421i	$-0.146590\pi$
$984$	−7.74464	−	7.23875i	−0.246890	−	0.230763i
$985$	−17.4475	+	25.5908i	−0.555923	+	0.815390i
$986$	−1.78058	−	24.1544i	−0.0567052	−	0.769233i
$987$	5.08395	−	13.7519i	0.161824	−	0.437727i
$988$	8.80550	+	0.681427i	0.280140	+	0.0216791i
$989$	−13.0186	−	1.96224i	−0.413967	−	0.0623955i
$990$	−1.32043	+	2.73339i	−0.0419660	+	0.0868729i
$991$	3.90465	+	25.9056i	0.124035	+	0.822920i	0.961177	+	0.275933i	$0.0889869\pi$
$991$	3.90465	+	25.9056i	0.124035	+	0.822920i	−0.837142	+	0.546986i	$0.815775\pi$
$992$	−14.0875	+	3.12536i	−0.447278	+	0.0992303i
$993$	−11.6462	+	9.28755i	−0.369582	+	0.294731i
$994$	−54.7493	+	1.02252i	−1.73654	+	0.0324325i
$995$	25.7840	+	20.5620i	0.817406	+	0.651860i
$996$	−9.20422	−	4.46014i	−0.291647	−	0.141325i
$997$	3.18861	−	10.3372i	0.100984	−	0.327383i	−0.890956	−	0.454090i	$-0.849964\pi$
$997$	3.18861	−	10.3372i	0.100984	−	0.327383i	0.991940	+	0.126707i	$0.0404407\pi$
$998$	41.9995	+	0.0510880i	1.32947	+	0.00161716i
$999$	20.3266	+	35.2067i	0.643104	+	1.11389i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.3.11	✓	312
4.3	odd	2	inner	196.2.p.a.3.21	yes	312
49.33	odd	42	inner	196.2.p.a.131.21	yes	312
196.131	even	42	inner	196.2.p.a.131.11	yes	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.3.11	✓	312	1.1	even	1	trivial
196.2.p.a.3.21	yes	312	4.3	odd	2	inner
196.2.p.a.131.11	yes	312	196.131	even	42	inner
196.2.p.a.131.21	yes	312	49.33	odd	42	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:	\( N \)	\(=\)	\( 196 = 2^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	196.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.209076 - 1.39867i) q^{2} +(-0.0654786 + 0.873751i) q^{3} +(-1.91257 + 0.584859i) q^{4} +(-0.948216 + 1.39078i) q^{5} +(1.23578 - 0.0910975i) q^{6} +(0.250153 + 2.63390i) q^{7} +(1.21790 + 2.55279i) q^{8} +(2.20734 + 0.332703i) q^{9} +(2.14349 + 1.03547i) q^{10} +(0.0851417 + 0.564878i) q^{11} +(-0.385788 - 1.70941i) q^{12} +(1.24602 - 0.993671i) q^{13} +(3.63166 - 0.900569i) q^{14} +(-1.15310 - 0.919570i) q^{15} +(3.31588 - 2.23717i) q^{16} +(-2.24786 + 7.28739i) q^{17} +(0.00384004 - 3.15691i) q^{18} +(-1.38541 - 2.39960i) q^{19} +(1.00012 - 3.21454i) q^{20} +(-2.31775 + 0.0461078i) q^{21} +(0.772279 - 0.237188i) q^{22} +(-1.18352 - 3.83688i) q^{23} +(-2.31024 + 0.896989i) q^{24} +(0.791557 + 2.01685i) q^{25} +(-1.65034 - 1.53503i) q^{26} +(-1.02015 + 4.46958i) q^{27} +(-2.01890 - 4.89122i) q^{28} +(-0.499713 - 2.18939i) q^{29} +(-1.04509 + 1.80508i) q^{30} +(1.27545 - 2.20914i) q^{31} +(-3.82235 - 4.17009i) q^{32} +(-0.499137 + 0.0374052i) q^{33} +(10.6627 + 1.62040i) q^{34} +(-3.90037 - 2.14960i) q^{35} +(-4.41629 + 0.654664i) q^{36} +(6.50032 - 6.03142i) q^{37} +(-3.06659 + 2.43943i) q^{38} +(0.786633 + 1.15378i) q^{39} +(-4.70519 - 0.726763i) q^{40} +(1.85595 + 3.85393i) q^{41} +(0.549077 + 3.23214i) q^{42} +(1.42266 - 2.95418i) q^{43} +(-0.493214 - 1.03058i) q^{44} +(-2.55575 + 2.75444i) q^{45} +(-5.11910 + 2.45756i) q^{46} +(-2.31060 + 5.88732i) q^{47} +(1.73761 + 3.04374i) q^{48} +(-6.87485 + 1.31776i) q^{49} +(2.65542 - 1.52881i) q^{50} +(-6.22018 - 2.44124i) q^{51} +(-1.80196 + 2.62922i) q^{52} +(-4.82652 - 4.47836i) q^{53} +(6.46477 + 0.492376i) q^{54} +(-0.866352 - 0.417213i) q^{55} +(-6.41912 + 3.84642i) q^{56} +(2.18736 - 1.05338i) q^{57} +(-2.95776 + 1.15668i) q^{58} +(10.0784 - 6.87131i) q^{59} +(2.74322 + 1.08434i) q^{60} +(-4.36346 - 4.70269i) q^{61} +(-3.35653 - 1.32205i) q^{62} +(-0.324132 + 5.89714i) q^{63} +(-5.03343 + 6.21808i) q^{64} +(0.200475 + 2.67516i) q^{65} +(0.156676 + 0.690310i) q^{66} +(11.8097 + 6.81833i) q^{67} +(0.0371058 - 15.2524i) q^{68} +(3.42997 - 0.782869i) q^{69} +(-2.19111 + 5.90477i) q^{70} +(-14.2680 - 3.25658i) q^{71} +(1.83900 + 6.04007i) q^{72} +(6.94237 - 2.72468i) q^{73} +(-9.79505 - 7.83080i) q^{74} +(-1.81406 + 0.559563i) q^{75} +(4.05312 + 3.77914i) q^{76} +(-1.46653 + 0.365561i) q^{77} +(1.44929 - 1.34147i) q^{78} +(12.3302 - 7.11882i) q^{79} +(-0.0327600 + 6.73297i) q^{80} +(2.56080 + 0.789902i) q^{81} +(5.00235 - 3.40164i) q^{82} +(3.63901 - 4.56318i) q^{83} +(4.40590 - 1.44374i) q^{84} +(-8.00368 - 10.0363i) q^{85} +(-4.42938 - 1.37218i) q^{86} +(1.94570 - 0.293267i) q^{87} +(-1.33832 + 0.905314i) q^{88} +(0.346392 - 2.29816i) q^{89} +(4.38691 + 2.99877i) q^{90} +(2.92893 + 3.03333i) q^{91} +(4.50761 + 6.64613i) q^{92} +(1.84672 + 1.25907i) q^{93} +(8.71752 + 2.00088i) q^{94} +(4.65097 + 0.348542i) q^{95} +(3.89390 - 3.06673i) q^{96} -5.50556i q^{97} +(3.28048 + 9.34015i) q^{98} +1.27520i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) \) 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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