LMFDB - Embedded newform 270.2.k.b.241.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [270,2,Mod(31,270)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(270, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("270.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 270 = 2 \cdot 3^{3} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	270.k (of order $9$, degree $6$, 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:	$2.15596085457$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{9})$
Coefficient field:	12.0.1952986685049.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 $ x^12 - 6x^11 + 27x^10 - 80x^9 + 186x^8 - 330x^7 + 463x^6 - 504x^5 + 420x^4 - 258x^3 + 108x^2 - 27*x + 3
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 3 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			241.2
Root			$0.500000 - 1.68614i$ of defining polynomial
Character	$\chi$	$=$	270.241
Dual form			270.2.k.b.121.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.173648 + 0.984808i) q^{2} +(1.40006 + 1.01973i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.766044 - 0.642788i) q^{5} +(-1.24735 + 1.20171i) q^{6} +(-0.536421 + 0.195241i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.920313 + 2.85535i) q^{9} +(0.500000 + 0.866025i) q^{10} +(2.21632 + 1.85971i) q^{11} +(-0.966855 - 1.43708i) q^{12} +(1.04333 + 5.91700i) q^{13} +(-0.0991266 - 0.562175i) q^{14} +(1.72797 - 0.118782i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-2.51505 - 4.35619i) q^{17} +(-2.97178 + 0.410505i) q^{18} +(1.08143 - 1.87309i) q^{19} +(-0.939693 + 0.342020i) q^{20} +(-0.950112 - 0.273654i) q^{21} +(-2.21632 + 1.85971i) q^{22} +(-3.13696 - 1.14176i) q^{23} +(1.58314 - 0.702620i) q^{24} +(0.173648 - 0.984808i) q^{25} -6.00828 q^{26} +(-1.62319 + 4.93612i) q^{27} +0.570847 q^{28} +(1.61100 - 9.13645i) q^{29} +(-0.183082 + 1.72235i) q^{30} +(1.36256 + 0.495931i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(1.20657 + 4.86374i) q^{33} +(4.72674 - 1.72039i) q^{34} +(-0.285424 + 0.494368i) q^{35} +(0.111776 - 2.99792i) q^{36} +(-2.75597 - 4.77348i) q^{37} +(1.65684 + 1.39026i) q^{38} +(-4.57301 + 9.34803i) q^{39} +(-0.173648 - 0.984808i) q^{40} +(-1.15638 - 6.55814i) q^{41} +(0.434482 - 0.888159i) q^{42} +(5.90723 + 4.95676i) q^{43} +(-1.44660 - 2.50558i) q^{44} +(2.54038 + 1.59576i) q^{45} +(1.66914 - 2.89104i) q^{46} +(-2.68479 + 0.977185i) q^{47} +(0.417037 + 1.68109i) q^{48} +(-5.11268 + 4.29005i) q^{49} +(0.939693 + 0.342020i) q^{50} +(0.920918 - 8.66357i) q^{51} +(1.04333 - 5.91700i) q^{52} -0.0936933 q^{53} +(-4.57926 - 2.45568i) q^{54} +2.89320 q^{55} +(-0.0991266 + 0.562175i) q^{56} +(3.42409 - 1.51966i) q^{57} +(8.71790 + 3.17306i) q^{58} +(8.20988 - 6.88890i) q^{59} +(-1.66439 - 0.479383i) q^{60} +(1.91988 - 0.698781i) q^{61} +(-0.725002 + 1.25574i) q^{62} +(-1.05116 - 1.35199i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(4.60261 + 3.86205i) q^{65} +(-4.99936 + 0.343661i) q^{66} +(-0.0627196 - 0.355700i) q^{67} +(0.873467 + 4.95368i) q^{68} +(-3.22764 - 4.79737i) q^{69} +(-0.437295 - 0.366934i) q^{70} +(-6.34771 - 10.9945i) q^{71} +(2.93296 + 0.630660i) q^{72} +(6.47764 - 11.2196i) q^{73} +(5.17953 - 1.88519i) q^{74} +(1.24735 - 1.20171i) q^{75} +(-1.65684 + 1.39026i) q^{76} +(-1.55197 - 0.564871i) q^{77} +(-8.41192 - 6.12680i) q^{78} +(0.0222603 - 0.126245i) q^{79} +1.00000 q^{80} +(-7.30605 + 5.25563i) q^{81} +6.65931 q^{82} +(-2.94783 + 16.7180i) q^{83} +(0.799218 + 0.582109i) q^{84} +(-4.72674 - 1.72039i) q^{85} +(-5.90723 + 4.95676i) q^{86} +(11.5722 - 11.1488i) q^{87} +(2.71871 - 0.989531i) q^{88} +(-0.129260 + 0.223884i) q^{89} +(-2.01265 + 2.22469i) q^{90} +(-1.71490 - 2.97030i) q^{91} +(2.55727 + 2.14581i) q^{92} +(1.40194 + 2.08377i) q^{93} +(-0.496130 - 2.81369i) q^{94} +(-0.375576 - 2.12999i) q^{95} +(-1.72797 + 0.118782i) q^{96} +(-4.23216 - 3.55121i) q^{97} +(-3.33707 - 5.77997i) q^{98} +(-3.27042 + 8.03987i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 3 q^{3} + 3 q^{6} - 12 q^{7} + 6 q^{8} - 3 q^{9} + 6 q^{10} + 3 q^{11} + 9 q^{12} + 9 q^{13} - 6 q^{14} - 9 q^{17} - 6 q^{18} - 3 q^{19} - 6 q^{21} - 3 q^{22} - 24 q^{23} - 3 q^{24} + 12 q^{26} - 9 q^{27}+ \cdots + 45 q^{99}+O(q^{100}) $ 12 * q + 3 * q^3 + 3 * q^6 - 12 * q^7 + 6 * q^8 - 3 * q^9 + 6 * q^10 + 3 * q^11 + 9 * q^12 + 9 * q^13 - 6 * q^14 - 9 * q^17 - 6 * q^18 - 3 * q^19 - 6 * q^21 - 3 * q^22 - 24 * q^23 - 3 * q^24 + 12 * q^26 - 9 * q^27 - 6 * q^28 + 6 * q^29 + 6 * q^30 + 21 * q^31 - 9 * q^33 + 18 * q^34 + 3 * q^35 - 3 * q^36 - 18 * q^38 - 24 * q^41 - 27 * q^42 + 33 * q^43 + 3 * q^44 + 15 * q^45 + 15 * q^46 - 18 * q^47 + 6 * q^48 - 30 * q^49 + 9 * q^51 + 9 * q^52 + 24 * q^53 - 18 * q^54 - 6 * q^55 - 6 * q^56 + 15 * q^57 + 39 * q^58 + 36 * q^59 - 3 * q^60 - 24 * q^61 - 60 * q^63 - 6 * q^64 - 9 * q^66 + 9 * q^67 + 9 * q^68 + 18 * q^69 - 6 * q^70 - 18 * q^71 + 12 * q^72 + 12 * q^73 - 12 * q^74 - 3 * q^75 + 18 * q^76 + 24 * q^77 - 24 * q^78 + 27 * q^79 + 12 * q^80 - 63 * q^81 + 6 * q^82 - 9 * q^83 - 3 * q^84 - 18 * q^85 - 33 * q^86 - 18 * q^87 - 3 * q^88 + 15 * q^89 - 15 * q^90 - 21 * q^91 + 3 * q^92 + 36 * q^93 - 54 * q^94 - 18 * q^95 + 36 * q^97 + 3 * q^98 + 45 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/270\mathbb{Z}\right)^\times$.

$n$	$191$	$217$
$\chi(n)$	$e\left(\frac{5}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.173648	+	0.984808i	−0.122788	+	0.696364i
$2$	−0.173648	+	0.984808i	−0.122788	+	0.696364i
$3$	1.40006	+	1.01973i	0.808323	+	0.588740i
$3$	1.40006	+	1.01973i	0.808323	+	0.588740i
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	0.766044	−	0.642788i	0.342585	−	0.287463i
$5$	0.766044	−	0.642788i	0.342585	−	0.287463i
$6$	−1.24735	+	1.20171i	−0.509229	+	0.490597i
$7$	−0.536421	+	0.195241i	−0.202748	+	0.0737943i	−0.441398	−	0.897311i	$-0.645517\pi$
$7$	−0.536421	+	0.195241i	−0.202748	+	0.0737943i	0.238650	+	0.971106i	$0.423295\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	0.920313	+	2.85535i	0.306771	+	0.951783i
$10$	0.500000	+	0.866025i	0.158114	+	0.273861i
$11$	2.21632	+	1.85971i	0.668244	+	0.560724i	0.912545	−	0.408976i	$-0.134114\pi$
$11$	2.21632	+	1.85971i	0.668244	+	0.560724i	−0.244301	+	0.969700i	$0.578558\pi$
$12$	−0.966855	−	1.43708i	−0.279107	−	0.414848i
$13$	1.04333	+	5.91700i	0.289367	+	1.64108i	0.689257	+	0.724517i	$0.257937\pi$
$13$	1.04333	+	5.91700i	0.289367	+	1.64108i	−0.399891	+	0.916563i	$0.630952\pi$
$14$	−0.0991266	−	0.562175i	−0.0264927	−	0.150248i
$15$	1.72797	−	0.118782i	0.446161	−	0.0306695i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−2.51505	−	4.35619i	−0.609989	−	1.05653i	−0.991242	−	0.132060i	$-0.957841\pi$
$17$	−2.51505	−	4.35619i	−0.609989	−	1.05653i	0.381253	−	0.924471i	$-0.375493\pi$
$18$	−2.97178	+	0.410505i	−0.700456	+	0.0967570i
$19$	1.08143	−	1.87309i	0.248096	−	0.429715i	−0.714901	−	0.699225i	$-0.753528\pi$
$19$	1.08143	−	1.87309i	0.248096	−	0.429715i	0.962998	+	0.269510i	$0.0868617\pi$
$20$	−0.939693	+	0.342020i	−0.210122	+	0.0764780i
$21$	−0.950112	−	0.273654i	−0.207332	−	0.0597163i
$22$	−2.21632	+	1.85971i	−0.472520	+	0.396492i
$23$	−3.13696	−	1.14176i	−0.654101	−	0.238073i	−0.00641369	−	0.999979i	$-0.502042\pi$
$23$	−3.13696	−	1.14176i	−0.654101	−	0.238073i	−0.647688	+	0.761906i	$0.724264\pi$
$24$	1.58314	−	0.702620i	0.323157	−	0.143422i
$25$	0.173648	−	0.984808i	0.0347296	−	0.196962i
$26$	−6.00828			−1.17832
$27$	−1.62319	+	4.93612i	−0.312383	+	0.949956i
$28$	0.570847			0.107880
$29$	1.61100	−	9.13645i	0.299156	−	1.69660i	−0.350658	−	0.936504i	$-0.614042\pi$
$29$	1.61100	−	9.13645i	0.299156	−	1.69660i	0.649814	−	0.760093i	$-0.274847\pi$
$30$	−0.183082	+	1.72235i	−0.0334260	+	0.314456i
$31$	1.36256	+	0.495931i	0.244723	+	0.0890718i	0.461470	−	0.887156i	$-0.347322\pi$
$31$	1.36256	+	0.495931i	0.244723	+	0.0890718i	−0.216747	+	0.976228i	$0.569545\pi$
$32$	−0.766044	+	0.642788i	−0.135419	+	0.113630i
$33$	1.20657	+	4.86374i	0.210037	+	0.846668i
$34$	4.72674	−	1.72039i	0.810630	−	0.295045i
$35$	−0.285424	+	0.494368i	−0.0482454	+	0.0835635i
$36$	0.111776	−	2.99792i	0.0186293	−	0.499653i
$37$	−2.75597	−	4.77348i	−0.453078	−	0.784755i	0.545497	−	0.838113i	$-0.316341\pi$
$37$	−2.75597	−	4.77348i	−0.453078	−	0.784755i	−0.998575	+	0.0533579i	$0.983008\pi$
$38$	1.65684	+	1.39026i	0.268775	+	0.225529i
$39$	−4.57301	+	9.34803i	−0.732267	+	1.49688i
$40$	−0.173648	−	0.984808i	−0.0274562	−	0.155712i
$41$	−1.15638	−	6.55814i	−0.180596	−	1.02421i	−0.931484	−	0.363781i	$-0.881486\pi$
$41$	−1.15638	−	6.55814i	−0.180596	−	1.02421i	0.750889	−	0.660429i	$-0.229626\pi$
$42$	0.434482	−	0.888159i	0.0670421	−	0.137046i
$43$	5.90723	+	4.95676i	0.900845	+	0.755899i	0.970355	−	0.241683i	$-0.0776993\pi$
$43$	5.90723	+	4.95676i	0.900845	+	0.755899i	−0.0695105	+	0.997581i	$0.522144\pi$
$44$	−1.44660	−	2.50558i	−0.218083	−	0.377730i
$45$	2.54038	+	1.59576i	0.378698	+	0.237882i
$46$	1.66914	−	2.89104i	0.246101	−	0.426260i
$47$	−2.68479	+	0.977185i	−0.391617	+	0.142537i	−0.530321	−	0.847797i	$-0.677929\pi$
$47$	−2.68479	+	0.977185i	−0.391617	+	0.142537i	0.138704	+	0.990334i	$0.455706\pi$
$48$	0.417037	+	1.68109i	0.0601941	+	0.242645i
$49$	−5.11268	+	4.29005i	−0.730383	+	0.612864i
$50$	0.939693	+	0.342020i	0.132893	+	0.0483690i
$51$	0.920918	−	8.66357i	0.128954	−	1.21314i
$52$	1.04333	−	5.91700i	0.144683	−	0.820540i
$53$	−0.0936933			−0.0128698			−0.00643488	−	0.999979i	$-0.502048\pi$
$53$	−0.0936933			−0.0128698			−0.00643488	+	0.999979i	$0.502048\pi$
$54$	−4.57926	−	2.45568i	−0.623159	−	0.334175i
$55$	2.89320			0.390118
$56$	−0.0991266	+	0.562175i	−0.0132464	+	0.0751238i
$57$	3.42409	−	1.51966i	0.453532	−	0.201285i
$58$	8.71790	+	3.17306i	1.14472	+	0.416643i
$59$	8.20988	−	6.88890i	1.06883	−	0.896859i	0.0738883	−	0.997267i	$-0.476459\pi$
$59$	8.20988	−	6.88890i	1.06883	−	0.896859i	0.994946	+	0.100408i	$0.0320147\pi$
$60$	−1.66439	−	0.479383i	−0.214872	−	0.0618880i
$61$	1.91988	−	0.698781i	0.245816	−	0.0894697i	−0.216174	−	0.976355i	$-0.569358\pi$
$61$	1.91988	−	0.698781i	0.245816	−	0.0894697i	0.461990	+	0.886885i	$0.347136\pi$
$62$	−0.725002	+	1.25574i	−0.0920754	+	0.159479i
$63$	−1.05116	−	1.35199i	−0.132433	−	0.170334i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	4.60261	+	3.86205i	0.570883	+	0.479028i
$66$	−4.99936	+	0.343661i	−0.615379	+	0.0423017i
$67$	−0.0627196	−	0.355700i	−0.00766242	−	0.0434557i	0.980737	−	0.195334i	$-0.0625790\pi$
$67$	−0.0627196	−	0.355700i	−0.00766242	−	0.0434557i	−0.988399	+	0.151878i	$0.951468\pi$
$68$	0.873467	+	4.95368i	0.105923	+	0.600721i
$69$	−3.22764	−	4.79737i	−0.388562	−	0.577535i
$70$	−0.437295	−	0.366934i	−0.0522667	−	0.0438570i
$71$	−6.34771	−	10.9945i	−0.753334	−	1.30481i	−0.946198	−	0.323588i	$-0.895111\pi$
$71$	−6.34771	−	10.9945i	−0.753334	−	1.30481i	0.192864	−	0.981225i	$-0.438222\pi$
$72$	2.93296	+	0.630660i	0.345653	+	0.0743240i
$73$	6.47764	−	11.2196i	0.758150	−	1.31315i	−0.185643	−	0.982617i	$-0.559437\pi$
$73$	6.47764	−	11.2196i	0.758150	−	1.31315i	0.943793	−	0.330537i	$-0.107230\pi$
$74$	5.17953	−	1.88519i	0.602108	−	0.219149i
$75$	1.24735	−	1.20171i	0.144032	−	0.138762i
$76$	−1.65684	+	1.39026i	−0.190053	+	0.159473i
$77$	−1.55197	−	0.564871i	−0.176864	−	0.0643731i
$78$	−8.41192	−	6.12680i	−0.952463	−	0.693724i
$79$	0.0222603	−	0.126245i	0.00250448	−	0.0142036i	−0.983530	−	0.180745i	$-0.942149\pi$
$79$	0.0222603	−	0.126245i	0.00250448	−	0.0142036i	0.986034	+	0.166542i	$0.0532601\pi$
$80$	1.00000			0.111803
$81$	−7.30605	+	5.25563i	−0.811783	+	0.583959i
$82$	6.65931			0.735398
$83$	−2.94783	+	16.7180i	−0.323567	+	1.83504i	0.195994	+	0.980605i	$0.437207\pi$
$83$	−2.94783	+	16.7180i	−0.323567	+	1.83504i	−0.519561	+	0.854434i	$0.673904\pi$
$84$	0.799218	+	0.582109i	0.0872019	+	0.0635133i
$85$	−4.72674	−	1.72039i	−0.512687	−	0.186603i
$86$	−5.90723	+	4.95676i	−0.636994	+	0.534501i
$87$	11.5722	−	11.1488i	1.24067	−	1.19527i
$88$	2.71871	−	0.989531i	0.289816	−	0.105484i
$89$	−0.129260	+	0.223884i	−0.0137015	+	0.0237317i	−0.872795	−	0.488087i	$-0.837695\pi$
$89$	−0.129260	+	0.223884i	−0.0137015	+	0.0237317i	0.859093	+	0.511819i	$0.171028\pi$
$90$	−2.01265	+	2.22469i	−0.212152	+	0.234503i
$91$	−1.71490	−	2.97030i	−0.179771	−	0.311372i
$92$	2.55727	+	2.14581i	0.266614	+	0.223716i
$93$	1.40194	+	2.08377i	0.145375	+	0.216077i
$94$	−0.496130	−	2.81369i	−0.0511719	−	0.290210i
$95$	−0.375576	−	2.12999i	−0.0385332	−	0.218533i
$96$	−1.72797	+	0.118782i	−0.176361	+	0.0121232i
$97$	−4.23216	−	3.55121i	−0.429711	−	0.360570i	0.402132	−	0.915582i	$-0.368269\pi$
$97$	−4.23216	−	3.55121i	−0.429711	−	0.360570i	−0.831843	+	0.555011i	$0.812714\pi$
$98$	−3.33707	−	5.77997i	−0.337095	−	0.583865i
$99$	−3.27042	+	8.03987i	−0.328689	+	0.808038i
$100$	−0.500000	+	0.866025i	−0.0500000	+	0.0866025i
$101$	−7.21423	+	2.62576i	−0.717843	+	0.261273i	−0.675010	−	0.737809i	$-0.735861\pi$
$101$	−7.21423	+	2.62576i	−0.717843	+	0.261273i	−0.0428329	+	0.999082i	$0.513638\pi$
$102$	8.37204	+	2.41134i	0.828955	+	0.238758i
$103$	−3.16813	+	2.65838i	−0.312165	+	0.261938i	−0.785386	−	0.619006i	$-0.787536\pi$
$103$	−3.16813	+	2.65838i	−0.312165	+	0.261938i	0.473221	+	0.880944i	$0.343091\pi$
$104$	5.64593	+	2.05495i	0.553629	+	0.201505i
$105$	−0.903730	+	0.401089i	−0.0881950	+	0.0391423i
$106$	0.0162697	−	0.0922699i	0.00158025	−	0.00896205i
$107$	9.84466			0.951719			0.475860	−	0.879521i	$-0.342137\pi$
$107$	9.84466			0.951719			0.475860	+	0.879521i	$0.342137\pi$
$108$	3.21355	−	4.08327i	0.309224	−	0.392913i
$109$	−18.9440			−1.81451			−0.907254	−	0.420583i	$-0.861825\pi$
$109$	−18.9440			−1.81451			−0.907254	+	0.420583i	$0.861825\pi$
$110$	−0.502398	+	2.84924i	−0.0479018	+	0.271664i
$111$	1.00913	−	9.49347i	0.0957828	−	0.901080i
$112$	−0.536421	−	0.195241i	−0.0506870	−	0.0184486i
$113$	5.89586	−	4.94721i	0.554636	−	0.465395i	−0.321871	−	0.946783i	$-0.604312\pi$
$113$	5.89586	−	4.94721i	0.554636	−	0.465395i	0.876507	+	0.481389i	$0.159867\pi$
$114$	0.901990	+	3.63596i	0.0844791	+	0.340539i
$115$	−3.13696	+	1.14176i	−0.292523	+	0.106470i
$116$	−4.63870	+	8.03446i	−0.430692	+	0.745981i
$117$	−15.9349	+	8.42455i	−1.47318	+	0.778850i
$118$	5.35862	+	9.28139i	0.493301	+	0.854422i
$119$	2.19963	+	1.84571i	0.201640	+	0.169196i
$120$	0.761118	−	1.55586i	0.0694802	−	0.142030i
$121$	−0.456594	−	2.58947i	−0.0415086	−	0.235407i
$122$	0.354780	+	2.01206i	0.0321203	+	0.182163i
$123$	5.06852	−	10.3610i	0.457013	−	0.934216i
$124$	−1.11077	−	0.932045i	−0.0997499	−	0.0837001i
$125$	−0.500000	−	0.866025i	−0.0447214	−	0.0774597i
$126$	1.51398	−	0.800418i	0.134876	−	0.0713069i
$127$	−6.84061	+	11.8483i	−0.607006	+	1.05136i	0.384725	+	0.923031i	$0.374296\pi$
$127$	−6.84061	+	11.8483i	−0.607006	+	1.05136i	−0.991731	+	0.128334i	$0.959037\pi$
$128$	0.939693	−	0.342020i	0.0830579	−	0.0302306i
$129$	3.21592	+	12.9635i	0.283146	+	1.14137i
$130$	−4.60261	+	3.86205i	−0.403675	+	0.338724i
$131$	11.8140	+	4.29993i	1.03219	+	0.375687i	0.801915	−	0.597438i	$-0.203815\pi$
$131$	11.8140	+	4.29993i	1.03219	+	0.375687i	0.230277	+	0.973125i	$0.426037\pi$
$132$	0.529691	−	4.98309i	0.0461037	−	0.433722i
$133$	−0.214396	+	1.21590i	−0.0185905	+	0.105432i
$134$	0.361188			0.0312019
$135$	1.92944	+	4.82465i	0.166060	+	0.415240i
$136$	−5.03009			−0.431327
$137$	−2.84603	+	16.1406i	−0.243153	+	1.37899i	0.581592	+	0.813481i	$0.302430\pi$
$137$	−2.84603	+	16.1406i	−0.243153	+	1.37899i	−0.824744	+	0.565506i	$0.808681\pi$
$138$	5.28496	−	2.34555i	0.449886	−	0.199666i
$139$	16.4152	+	5.97465i	1.39232	+	0.506764i	0.925890	−	0.377794i	$-0.123317\pi$
$139$	16.4152	+	5.97465i	1.39232	+	0.506764i	0.466432	+	0.884557i	$0.345539\pi$
$140$	0.437295	−	0.366934i	0.0369581	−	0.0310116i
$141$	−4.75532	−	1.36964i	−0.400470	−	0.115345i
$142$	11.9298	−	4.34209i	1.00113	−	0.364380i
$143$	−8.69156	+	15.0542i	−0.726825	+	1.25890i
$144$	−1.13038	+	2.77889i	−0.0941986	+	0.231574i
$145$	−4.63870	−	8.03446i	−0.385223	−	0.667226i
$146$	9.92432	+	8.32749i	0.821342	+	0.689188i
$147$	−11.5327	+	0.792769i	−0.951203	+	0.0653865i
$148$	0.957138	+	5.42820i	0.0786762	+	0.446195i
$149$	−0.413798	−	2.34676i	−0.0338996	−	0.192254i	0.963155	−	0.268946i	$-0.0866754\pi$
$149$	−0.413798	−	2.34676i	−0.0338996	−	0.192254i	−0.997055	+	0.0766918i	$0.975564\pi$
$150$	0.966855	+	1.43708i	0.0789434	+	0.117337i
$151$	16.3273	+	13.7002i	1.32869	+	1.11491i	0.984381	+	0.176051i	$0.0563324\pi$
$151$	16.3273	+	13.7002i	1.32869	+	1.11491i	0.344313	+	0.938855i	$0.388112\pi$
$152$	−1.08143	−	1.87309i	−0.0877153	−	0.151927i
$153$	10.1238	−	11.1904i	0.818462	−	0.904690i
$154$	0.825787	−	1.43030i	0.0665438	−	0.115257i
$155$	1.36256	−	0.495931i	0.109443	−	0.0398341i
$156$	7.49444	−	7.22022i	0.600035	−	0.578080i
$157$	−15.2831	+	12.8241i	−1.21973	+	1.02347i	−0.220886	+	0.975300i	$0.570895\pi$
$157$	−15.2831	+	12.8241i	−1.21973	+	1.02347i	−0.998839	+	0.0481714i	$0.984661\pi$
$158$	0.120461	+	0.0438443i	0.00958337	+	0.00348806i
$159$	−0.131176	−	0.0955416i	−0.0104029	−	0.00757694i
$160$	−0.173648	+	0.984808i	−0.0137281	+	0.0778559i
$161$	1.90565			0.150186
$162$	−3.90711	−	8.10768i	−0.306971	−	0.637000i
$163$	−8.59178			−0.672960			−0.336480	−	0.941691i	$-0.609236\pi$
$163$	−8.59178			−0.672960			−0.336480	+	0.941691i	$0.609236\pi$
$164$	−1.15638	+	6.55814i	−0.0902979	+	0.512105i
$165$	4.05064	+	2.95027i	0.315342	+	0.229678i
$166$	−15.9521	−	5.80610i	−1.23813	−	0.450641i
$167$	−8.78030	+	7.36755i	−0.679440	+	0.570118i	−0.915843	−	0.401537i	$-0.868476\pi$
$167$	−8.78030	+	7.36755i	−0.679440	+	0.570118i	0.236403	+	0.971655i	$0.424032\pi$
$168$	−0.712048	+	0.685994i	−0.0549357	+	0.0529256i
$169$	−21.7063	+	7.90045i	−1.66972	+	0.607727i
$170$	2.51505	−	4.35619i	0.192895	−	0.334104i
$171$	6.34357	+	1.36403i	0.485105	+	0.104310i
$172$	−3.85567	−	6.67822i	−0.293992	−	0.509210i
$173$	−12.7411	−	10.6911i	−0.968690	−	0.812827i	0.0136551	−	0.999907i	$-0.495653\pi$
$173$	−12.7411	−	10.6911i	−0.968690	−	0.812827i	−0.982345	+	0.187080i	$0.940098\pi$
$174$	8.96990	+	13.3323i	0.680006	+	1.01072i
$175$	0.0991266	+	0.562175i	0.00749327	+	0.0424964i
$176$	0.502398	+	2.84924i	0.0378697	+	0.214770i
$177$	18.5191	−	1.27302i	1.39198	−	0.0956859i
$178$	−0.198037	−	0.166173i	−0.0148435	−	0.0124552i
$179$	−1.45344	−	2.51744i	−0.108635	−	0.188162i	0.806582	−	0.591122i	$-0.201315\pi$
$179$	−1.45344	−	2.51744i	−0.108635	−	0.188162i	−0.915218	+	0.402960i	$0.867981\pi$
$180$	−1.84140	−	2.36839i	−0.137250	−	0.176529i
$181$	1.66171	−	2.87817i	0.123514	−	0.213933i	−0.797637	−	0.603138i	$-0.793917\pi$
$181$	1.66171	−	2.87817i	0.123514	−	0.213933i	0.921151	+	0.389205i	$0.127250\pi$
$182$	3.22297	−	1.17306i	0.238902	−	0.0869533i
$183$	3.40051	+	0.979426i	0.251373	+	0.0724012i
$184$	−2.55727	+	2.14581i	−0.188525	+	0.158191i
$185$	−5.17953	−	1.88519i	−0.380806	−	0.138602i
$186$	−2.29556	+	1.01880i	−0.168318	+	0.0747023i
$187$	2.52711	−	14.3320i	0.184801	−	1.04806i
$188$	2.85710			0.208375
$189$	−0.0930222	−	2.96475i	−0.00676637	−	0.215654i
$190$	2.16285			0.156910
$191$	1.04833	−	5.94538i	0.0758545	−	0.430192i	−0.923103	−	0.384552i	$-0.874356\pi$
$191$	1.04833	−	5.94538i	0.0758545	−	0.430192i	0.998958	−	0.0456405i	$-0.0145329\pi$
$192$	0.183082	−	1.72235i	0.0132128	−	0.124300i
$193$	10.1512	+	3.69472i	0.730696	+	0.265952i	0.680459	−	0.732786i	$-0.261780\pi$
$193$	10.1512	+	3.69472i	0.730696	+	0.265952i	0.0502366	+	0.998737i	$0.484002\pi$
$194$	4.23216	−	3.55121i	0.303852	−	0.254962i
$195$	2.50567	+	10.1005i	0.179435	+	0.723311i
$196$	6.27163	−	2.28269i	0.447974	−	0.163049i
$197$	−2.44902	+	4.24182i	−0.174485	+	0.302217i	−0.939983	−	0.341221i	$-0.889159\pi$
$197$	−2.44902	+	4.24182i	−0.174485	+	0.302217i	0.765498	+	0.643439i	$0.222493\pi$
$198$	−7.34983	−	4.61684i	−0.522330	−	0.328105i
$199$	−12.8353	−	22.2313i	−0.909868	−	1.57594i	−0.814246	−	0.580520i	$-0.802849\pi$
$199$	−12.8353	−	22.2313i	−0.909868	−	1.57594i	−0.0956219	−	0.995418i	$-0.530484\pi$
$200$	−0.766044	−	0.642788i	−0.0541675	−	0.0454519i
$201$	0.274906	−	0.561957i	0.0193904	−	0.0396374i
$202$	−1.33314	−	7.56059i	−0.0937991	−	0.531961i
$203$	0.919637	+	5.21552i	0.0645459	+	0.366058i
$204$	−3.82850	+	7.82612i	−0.268048	+	0.547938i
$205$	−5.10133	−	4.28052i	−0.356292	−	0.298965i
$206$	−2.06785	−	3.58162i	−0.144074	−	0.249544i
$207$	0.373138	−	10.0079i	0.0259349	−	0.695597i
$208$	−3.00414	+	5.20332i	−0.208299	+	0.360785i
$209$	5.88018	−	2.14021i	0.406741	−	0.148041i
$210$	−0.238065	−	0.959649i	−0.0164280	−	0.0662221i
$211$	1.87664	−	1.57469i	0.129193	−	0.108406i	−0.575902	−	0.817519i	$-0.695349\pi$
$211$	1.87664	−	1.57469i	0.129193	−	0.108406i	0.705095	+	0.709113i	$0.250904\pi$
$212$	0.0880429	+	0.0320450i	0.00604681	+	0.00220086i
$213$	2.32430	−	21.8659i	0.159258	−	1.49823i
$214$	−1.70951	+	9.69510i	−0.116859	+	0.662743i
$215$	7.71135			0.525910
$216$	3.46321	+	3.87378i	0.235642	+	0.263577i
$217$	−0.827731			−0.0561901
$218$	3.28959	−	18.6562i	0.222799	−	1.26356i
$219$	20.5100	−	9.10264i	1.38594	−	0.615100i
$220$	−2.71871	−	0.989531i	−0.183296	−	0.0667142i
$221$	23.1515	−	19.4265i	1.55734	−	1.30676i
$222$	9.17401	+	2.64233i	0.615719	+	0.177341i
$223$	2.51595	−	0.915733i	0.168481	−	0.0613220i	−0.256403	−	0.966570i	$-0.582537\pi$
$223$	2.51595	−	0.915733i	0.168481	−	0.0613220i	0.424883	+	0.905248i	$0.360315\pi$
$224$	0.285424	−	0.494368i	0.0190707	−	0.0330314i
$225$	2.97178	−	0.410505i	0.198119	−	0.0273670i
$226$	3.84825	+	6.66536i	0.255982	+	0.443373i
$227$	0.568510	+	0.477037i	0.0377333	+	0.0316620i	0.661459	−	0.749981i	$-0.269937\pi$
$227$	0.568510	+	0.477037i	0.0377333	+	0.0316620i	−0.623726	+	0.781643i	$0.714382\pi$
$228$	−3.73735	+	0.256909i	−0.247512	+	0.0170142i
$229$	−2.23820	−	12.6935i	−0.147905	−	0.838808i	−0.964989	−	0.262290i	$-0.915522\pi$
$229$	−2.23820	−	12.6935i	−0.147905	−	0.838808i	0.817084	−	0.576518i	$-0.195589\pi$
$230$	−0.579687	−	3.28757i	−0.0382234	−	0.216776i
$231$	−1.59683	−	2.37344i	−0.105064	−	0.156161i
$232$	−7.10690	−	5.96340i	−0.466591	−	0.391516i
$233$	−0.113073	−	0.195848i	−0.00740767	−	0.0128305i	0.862298	−	0.506402i	$-0.169025\pi$
$233$	−0.113073	−	0.195848i	−0.00740767	−	0.0128305i	−0.869705	+	0.493571i	$0.835691\pi$
$234$	−5.52950	−	17.1557i	−0.361474	−	1.12151i
$235$	−1.42855	+	2.47432i	−0.0931882	+	0.161407i
$236$	−10.0709	+	3.66551i	−0.655560	+	0.238604i
$237$	0.159901	−	0.154050i	0.0103867	−	0.0100066i
$238$	−2.19963	+	1.84571i	−0.142581	+	0.119640i
$239$	13.5442	+	4.92969i	0.876101	+	0.318875i	0.740635	−	0.671907i	$-0.234525\pi$
$239$	13.5442	+	4.92969i	0.876101	+	0.318875i	0.135466	+	0.990782i	$0.456747\pi$
$240$	1.40006	+	1.01973i	0.0903732	+	0.0658231i
$241$	−4.22332	+	23.9516i	−0.272048	+	1.54286i	0.476137	+	0.879371i	$0.342037\pi$
$241$	−4.22332	+	23.9516i	−0.272048	+	1.54286i	−0.748185	+	0.663490i	$0.769074\pi$
$242$	2.62942			0.169026
$243$	−15.5882	−	0.0919931i	−0.999983	−	0.00590136i
$244$	−2.04310			−0.130796
$245$	−1.15895	+	6.57274i	−0.0740427	+	0.419917i
$246$	9.32341	+	6.79068i	0.594439	+	0.432958i
$247$	12.2113	+	4.44456i	0.776988	+	0.282800i
$248$	1.11077	−	0.932045i	0.0705338	−	0.0591849i
$249$	−21.1749	+	20.4001i	−1.34191	+	1.29281i
$250$	0.939693	−	0.342020i	0.0594314	−	0.0216313i
$251$	−11.8607	+	20.5433i	−0.748640	+	1.29668i	0.199835	+	0.979830i	$0.435959\pi$
$251$	−11.8607	+	20.5433i	−0.748640	+	1.29668i	−0.948475	+	0.316852i	$0.897374\pi$
$252$	0.525359	+	1.62997i	0.0330945	+	0.102678i
$253$	−4.82915	−	8.36434i	−0.303606	−	0.525861i
$254$	−10.4804	−	8.79411i	−0.657600	−	0.551792i
$255$	−4.86337	−	7.22863i	−0.304556	−	0.452675i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−2.83249	−	16.0638i	−0.176686	−	1.00204i	−0.936180	−	0.351521i	$-0.885665\pi$
$257$	−2.83249	−	16.0638i	−0.176686	−	1.00204i	0.759494	−	0.650514i	$-0.225447\pi$
$258$	−13.3250	+	0.915972i	−0.829578	+	0.0570259i
$259$	2.41034	+	2.02252i	0.149771	+	0.125673i
$260$	−3.00414	−	5.20332i	−0.186309	−	0.322696i
$261$	27.5704	−	3.80842i	1.70657	−	0.235735i
$262$	−6.28608	+	10.8878i	−0.388356	+	0.672651i
$263$	−19.6861	+	7.16516i	−1.21390	+	0.441822i	−0.868054	−	0.496470i	$-0.834629\pi$
$263$	−19.6861	+	7.16516i	−1.21390	+	0.441822i	−0.345843	+	0.938292i	$0.612407\pi$
$264$	4.81540	+	1.38695i	0.296368	+	0.0853607i
$265$	−0.0717733	+	0.0602249i	−0.00440900	+	0.00369959i
$266$	−1.16020	−	0.422278i	−0.0711364	−	0.0258915i
$267$	−0.409272	+	0.181641i	−0.0250470	+	0.0111163i
$268$	−0.0627196	+	0.355700i	−0.00383121	+	0.0217279i
$269$	18.3793			1.12060			0.560302	−	0.828288i	$-0.310685\pi$
$269$	18.3793			1.12060			0.560302	+	0.828288i	$0.310685\pi$
$270$	−5.08640	+	1.06234i	−0.309548	+	0.0646518i
$271$	17.4240			1.05843			0.529217	−	0.848487i	$-0.322486\pi$
$271$	17.4240			1.05843			0.529217	+	0.848487i	$0.322486\pi$
$272$	0.873467	−	4.95368i	0.0529617	−	0.300361i
$273$	0.627935	−	5.90732i	0.0380043	−	0.357527i
$274$	−15.4012	−	5.60558i	−0.930421	−	0.338645i
$275$	2.21632	−	1.85971i	0.133649	−	0.112145i
$276$	1.39219	+	5.61197i	0.0837999	+	0.337801i
$277$	18.3986	−	6.69654i	1.10546	−	0.402356i	0.276136	−	0.961119i	$-0.410946\pi$
$277$	18.3986	−	6.69654i	1.10546	−	0.402356i	0.829328	+	0.558763i	$0.188724\pi$
$278$	−8.73436	+	15.1284i	−0.523852	+	0.907338i
$279$	−0.162075	+	4.34699i	−0.00970318	+	0.260248i
$280$	0.285424	+	0.494368i	0.0170573	+	0.0295442i
$281$	14.0305	+	11.7730i	0.836990	+	0.702318i	0.956885	−	0.290468i	$-0.0938111\pi$
$281$	14.0305	+	11.7730i	0.836990	+	0.702318i	−0.119894	+	0.992787i	$0.538256\pi$
$282$	2.17459	−	4.44524i	0.129495	−	0.264710i
$283$	−4.74481	−	26.9092i	−0.282050	−	1.59958i	−0.715637	−	0.698472i	$-0.753863\pi$
$283$	−4.74481	−	26.9092i	−0.282050	−	1.59958i	0.433587	−	0.901112i	$-0.357248\pi$
$284$	2.20454	+	12.5025i	0.130815	+	0.741889i
$285$	1.64619	−	3.36510i	0.0975117	−	0.199331i
$286$	−13.3162	−	11.1737i	−0.787406	−	0.660712i
$287$	1.90073	+	3.29215i	0.112196	+	0.194330i
$288$	−2.54038	−	1.59576i	−0.149694	−	0.0940310i
$289$	−4.15092	+	7.18961i	−0.244172	+	0.422918i
$290$	8.71790	−	3.17306i	0.511933	−	0.186328i
$291$	−2.30400	−	9.28754i	−0.135063	−	0.544445i
$292$	−9.92432	+	8.32749i	−0.580777	+	0.487330i
$293$	3.74495	+	1.36305i	0.218782	+	0.0796302i	0.449086	−	0.893489i	$-0.351750\pi$
$293$	3.74495	+	1.36305i	0.218782	+	0.0796302i	−0.230304	+	0.973119i	$0.573972\pi$
$294$	1.22191	−	11.4952i	0.0712633	−	0.670412i
$295$	1.86103	−	10.5544i	0.108353	−	0.614502i
$296$	−5.51194			−0.320375
$297$	−12.7772	+	7.92134i	−0.741411	+	0.459643i
$298$	2.38297			0.138042
$299$	3.48292	−	19.7526i	0.201422	−	1.14232i
$300$	−1.58314	+	0.702620i	−0.0914025	+	0.0405658i
$301$	−4.13653	−	1.50557i	−0.238426	−	0.0867798i
$302$	−16.3273	+	13.7002i	−0.939528	+	0.788358i
$303$	−12.7779	−	3.68033i	−0.734070	−	0.211429i
$304$	2.03242	−	0.739739i	0.116567	−	0.0424270i
$305$	1.02155	−	1.76937i	0.0584937	−	0.101314i
$306$	9.26241	+	11.9132i	0.529497	+	0.681032i
$307$	15.1716	+	26.2781i	0.865892	+	1.49977i	0.866159	+	0.499768i	$0.166582\pi$
$307$	15.1716	+	26.2781i	0.865892	+	1.49977i	−0.000267500		1.00000i	$0.500085\pi$
$308$	1.26518	+	1.06161i	0.0720902	+	0.0604909i
$309$	−7.14638	+	0.491249i	−0.406544	+	0.0279462i
$310$	0.251791	+	1.42798i	0.0143007	+	0.0811036i
$311$	1.02737	+	5.82652i	0.0582569	+	0.330391i	0.999982	−	0.00599199i	$-0.00190732\pi$
$311$	1.02737	+	5.82652i	0.0582569	+	0.330391i	−0.941725	+	0.336383i	$0.890796\pi$
$312$	5.80913	+	8.63436i	0.328877	+	0.488824i
$313$	2.41394	+	2.02554i	0.136444	+	0.114490i	0.708456	−	0.705755i	$-0.249392\pi$
$313$	2.41394	+	2.02554i	0.136444	+	0.114490i	−0.572011	+	0.820246i	$0.693837\pi$
$314$	−9.97534	−	17.2778i	−0.562941	−	0.975043i
$315$	−1.67427	−	0.360011i	−0.0943347	−	0.0202843i
$316$	−0.0640960	+	0.111018i	−0.00360568	+	0.00624523i
$317$	−7.28588	+	2.65184i	−0.409216	+	0.148942i	−0.538422	−	0.842675i	$-0.680979\pi$
$317$	−7.28588	+	2.65184i	−0.409216	+	0.148942i	0.129206	+	0.991618i	$0.458757\pi$
$318$	0.116869	−	0.112592i	0.00655367	−	0.00631387i
$319$	20.5616	−	17.2533i	1.15123	−	0.965998i
$320$	−0.939693	−	0.342020i	−0.0525304	−	0.0191195i
$321$	13.7831	+	10.0389i	0.769296	+	0.560315i
$322$	−0.330913	+	1.87670i	−0.0184410	+	0.104584i
$323$	−10.8794			−0.605344
$324$	8.66297	−	2.43986i	0.481276	−	0.135548i
$325$	6.00828			0.333279
$326$	1.49195	−	8.46125i	0.0826313	−	0.468625i
$327$	−26.5227	−	19.3177i	−1.46671	−	1.06827i
$328$	−6.25771	−	2.27762i	−0.345524	−	0.125761i
$329$	1.24939	−	1.04836i	0.0688812	−	0.0577982i
$330$	−3.60883	+	3.47679i	−0.198660	+	0.191391i
$331$	−8.70018	+	3.16660i	−0.478205	+	0.174052i	−0.569866	−	0.821738i	$-0.693005\pi$
$331$	−8.70018	+	3.16660i	−0.478205	+	0.174052i	0.0916607	+	0.995790i	$0.470782\pi$
$332$	8.48795	−	14.7016i	0.465837	−	0.806853i
$333$	11.0936	−	12.2623i	0.607925	−	0.671973i
$334$	−5.73093	−	9.92627i	−0.313583	−	0.543141i
$335$	−0.276686	−	0.232167i	−0.0151170	−	0.0126846i
$336$	−0.551927	−	0.820352i	−0.0301101	−	0.0447539i
$337$	2.59222	+	14.7012i	0.141207	+	0.800827i	0.970334	+	0.241767i	$0.0777269\pi$
$337$	2.59222	+	14.7012i	0.141207	+	0.800827i	−0.829127	+	0.559060i	$0.811162\pi$
$338$	−4.01117	−	22.7484i	−0.218179	−	1.23735i
$339$	13.2993	−	0.914208i	0.722321	−	0.0496530i
$340$	3.85328	+	3.23328i	0.208973	+	0.175349i
$341$	2.09757	+	3.63310i	0.113590	+	0.196744i
$342$	−2.44485	+	6.01033i	−0.132202	+	0.325002i
$343$	3.90292	−	6.76006i	0.210738	−	0.365009i
$344$	7.24630	−	2.63744i	0.390694	−	0.142201i
$345$	−5.55620	−	1.60031i	−0.299136	−	0.0861581i
$346$	12.7411	−	10.6911i	0.684967	−	0.574756i
$347$	−17.4105	−	6.33690i	−0.934645	−	0.340183i	−0.170596	−	0.985341i	$-0.554569\pi$
$347$	−17.4105	−	6.33690i	−0.934645	−	0.340183i	−0.764049	+	0.645158i	$0.776791\pi$
$348$	−14.6874	+	6.51849i	−0.787327	+	0.349428i
$349$	−0.615559	+	3.49101i	−0.0329501	+	0.186869i	−0.996840	−	0.0794302i	$-0.974690\pi$
$349$	−0.615559	+	3.49101i	−0.0329501	+	0.186869i	0.963890	+	0.266300i	$0.0858010\pi$
$350$	−0.570847			−0.0305131
$351$	−30.9005	−	4.45441i	−1.64935	−	0.237759i
$352$	−2.89320			−0.154208
$353$	−2.94764	+	16.7169i	−0.156887	+	0.889751i	0.800153	+	0.599796i	$0.204752\pi$
$353$	−2.94764	+	16.7169i	−0.156887	+	0.889751i	−0.957040	+	0.289955i	$0.906360\pi$
$354$	−1.96213	+	18.4588i	−0.104286	+	0.981074i
$355$	−11.9298	−	4.34209i	−0.633167	−	0.230454i
$356$	0.198037	−	0.166173i	0.0104960	−	0.00880716i
$357$	1.19749	+	4.82712i	0.0633777	+	0.255478i
$358$	2.73158	−	0.994214i	0.144368	−	0.0525458i
$359$	−16.2810	+	28.1995i	−0.859277	+	1.48831i	0.0133422	+	0.999911i	$0.495753\pi$
$359$	−16.2810	+	28.1995i	−0.859277	+	1.48831i	−0.872619	+	0.488401i	$0.837580\pi$
$360$	2.65216	−	1.40216i	0.139781	−	0.0739002i
$361$	7.16103	+	12.4033i	0.376896	+	0.652804i
$362$	2.54589	+	2.13626i	0.133809	+	0.112279i
$363$	2.00130	−	4.09101i	0.105041	−	0.214722i
$364$	0.595580	+	3.37770i	0.0312169	+	0.177040i
$365$	−2.24966	−	12.7585i	−0.117753	−	0.667808i
$366$	−1.55504	+	3.17877i	−0.0812832	+	0.166157i
$367$	16.9789	+	14.2470i	0.886289	+	0.743685i	0.967462	−	0.253015i	$-0.0814222\pi$
$367$	16.9789	+	14.2470i	0.886289	+	0.743685i	−0.0811732	+	0.996700i	$0.525867\pi$
$368$	−1.66914	−	2.89104i	−0.0870100	−	0.150706i
$369$	17.6616	−	9.33741i	0.919424	−	0.486086i
$370$	2.75597	−	4.77348i	0.143276	−	0.248161i
$371$	0.0502591	−	0.0182928i	0.00260932	−	0.000949715i
$372$	−0.604706	−	2.43760i	−0.0313525	−	0.126383i
$373$	14.7482	−	12.3752i	0.763632	−	0.640764i	−0.175437	−	0.984491i	$-0.556134\pi$
$373$	14.7482	−	12.3752i	0.763632	−	0.640764i	0.939070	+	0.343727i	$0.111689\pi$
$374$	13.6754	+	4.97743i	0.707138	+	0.257377i
$375$	0.183082	−	1.72235i	0.00945429	−	0.0889416i
$376$	−0.496130	+	2.81369i	−0.0255859	+	0.145105i
$377$	55.7412			2.87082
$378$	2.93586	+	0.423215i	0.151005	+	0.0217678i
$379$	−13.2751			−0.681896			−0.340948	−	0.940082i	$-0.610748\pi$
$379$	−13.2751			−0.681896			−0.340948	+	0.940082i	$0.610748\pi$
$380$	−0.375576	+	2.12999i	−0.0192666	+	0.109266i
$381$	−21.6592	+	9.61270i	−1.10964	+	0.492474i
$382$	5.67301	+	2.06481i	0.290257	+	0.105645i
$383$	−21.8806	+	18.3600i	−1.11805	+	0.938152i	−0.998504	−	0.0546776i	$-0.982587\pi$
$383$	−21.8806	+	18.3600i	−1.11805	+	0.938152i	−0.119542	+	0.992829i	$0.538142\pi$
$384$	1.66439	+	0.479383i	0.0849355	+	0.0244634i
$385$	−1.55197	+	0.564871i	−0.0790958	+	0.0287885i
$386$	−5.40132	+	9.35535i	−0.274920	+	0.476175i
$387$	−8.71677	+	21.4290i	−0.443098	+	1.08930i
$388$	2.76235	+	4.78453i	0.140237	+	0.242898i
$389$	−19.2463	−	16.1496i	−0.975826	−	0.818815i	0.00762826	−	0.999971i	$-0.497572\pi$
$389$	−19.2463	−	16.1496i	−0.975826	−	0.818815i	−0.983454	+	0.181155i	$0.942016\pi$
$390$	−10.3821	+	0.713677i	−0.525720	+	0.0361384i
$391$	2.91588	+	16.5368i	0.147462	+	0.836300i
$392$	1.15895	+	6.57274i	0.0585359	+	0.331973i
$393$	12.1555	+	18.0672i	0.613162	+	0.911368i
$394$	−3.75211	−	3.14840i	−0.189029	−	0.158614i
$395$	−0.0640960	−	0.111018i	−0.00322502	−	0.00558590i
$396$	5.82299	−	6.43646i	0.292616	−	0.323444i
$397$	12.7163	−	22.0253i	0.638213	−	1.10542i	−0.347612	−	0.937639i	$-0.613007\pi$
$397$	12.7163	−	22.0253i	0.638213	−	1.10542i	0.985825	−	0.167779i	$-0.0536594\pi$
$398$	24.1224	−	8.77984i	1.20915	−	0.440094i
$399$	−1.54006	+	1.48371i	−0.0770992	+	0.0742782i
$400$	0.766044	−	0.642788i	0.0383022	−	0.0321394i
$401$	−23.0348	−	8.38399i	−1.15030	−	0.418677i	−0.304680	−	0.952455i	$-0.598549\pi$
$401$	−23.0348	−	8.38399i	−1.15030	−	0.418677i	−0.845624	+	0.533778i	$0.820772\pi$
$402$	0.505683	+	0.368313i	0.0252212	+	0.0183698i
$403$	−1.51283	+	8.57967i	−0.0753593	+	0.427384i
$404$	7.67722			0.381956
$405$	−2.21850	+	8.72228i	−0.110238	+	0.433414i
$406$	−5.29598			−0.262835
$407$	2.76919	−	15.7048i	0.137263	−	0.778460i
$408$	−7.04241	−	5.12932i	−0.348651	−	0.253939i
$409$	27.5079	+	10.0120i	1.36018	+	0.495064i	0.916109	−	0.400930i	$-0.131313\pi$
$409$	27.5079	+	10.0120i	1.36018	+	0.495064i	0.444068	+	0.895993i	$0.353535\pi$
$410$	5.10133	−	4.28052i	0.251937	−	0.211400i
$411$	−20.4436	+	19.6956i	−1.00841	+	0.971512i
$412$	3.88629	−	1.41449i	0.191464	−	0.0696871i
$413$	−3.05895	+	5.29826i	−0.150521	+	0.260710i
$414$	9.79106	+	2.10532i	0.481204	+	0.103471i
$415$	8.48795	+	14.7016i	0.416657	+	0.721671i
$416$	−4.60261	−	3.86205i	−0.225661	−	0.189352i
$417$	16.8897	+	25.1039i	0.827093	+	1.22934i
$418$	1.08661	+	6.16249i	0.0531480	+	0.301417i
$419$	1.79107	+	10.1577i	0.0874994	+	0.496234i	0.996789	+	0.0800704i	$0.0255145\pi$
$419$	1.79107	+	10.1577i	0.0874994	+	0.496234i	−0.909290	+	0.416164i	$0.863374\pi$
$420$	0.986409	−	0.0678066i	0.0481318	−	0.00330862i
$421$	4.97640	+	4.17570i	0.242535	+	0.203511i	0.755950	−	0.654629i	$-0.227175\pi$
$421$	4.97640	+	4.17570i	0.242535	+	0.203511i	−0.513415	+	0.858141i	$0.671620\pi$
$422$	1.22489	+	2.12157i	0.0596266	+	0.103276i
$423$	−5.26105	−	6.76671i	−0.255801	−	0.329009i
$424$	−0.0468467	+	0.0811408i	−0.00227508	+	0.00394055i
$425$	−4.72674	+	1.72039i	−0.229281	+	0.0834513i
$426$	21.1301	+	6.08596i	1.02376	+	0.294866i
$427$	−0.893435	+	0.749681i	−0.0432364	+	0.0362796i
$428$	−9.25095	−	3.36707i	−0.447162	−	0.162754i
$429$	−27.5199	+	12.2137i	−1.32867	+	0.589685i
$430$	−1.33906	+	7.59419i	−0.0645753	+	0.366225i
$431$	−0.481951			−0.0232148			−0.0116074	−	0.999933i	$-0.503695\pi$
$431$	−0.481951			−0.0232148			−0.0116074	+	0.999933i	$0.503695\pi$
$432$	−4.41631	+	2.73792i	−0.212480	+	0.131728i
$433$	0.729331			0.0350494			0.0175247	−	0.999846i	$-0.494421\pi$
$433$	0.729331			0.0350494			0.0175247	+	0.999846i	$0.494421\pi$
$434$	0.143734	−	0.815156i	0.00689946	−	0.0391288i
$435$	1.69852	−	15.9789i	0.0814378	−	0.766130i
$436$	17.8016	+	6.47924i	0.852540	+	0.310299i
$437$	−5.53101	+	4.64106i	−0.264584	+	0.222012i
$438$	5.40283	+	21.7790i	0.258157	+	1.04064i
$439$	16.4108	−	5.97304i	0.783245	−	0.285078i	0.0807197	−	0.996737i	$-0.474278\pi$
$439$	16.4108	−	5.97304i	0.783245	−	0.285078i	0.702525	+	0.711659i	$0.252056\pi$
$440$	1.44660	−	2.50558i	0.0689638	−	0.119449i
$441$	−16.9549	−	10.6503i	−0.807374	−	0.507158i
$442$	15.1111	+	26.1732i	0.718762	+	1.24493i
$443$	−26.7138	−	22.4156i	−1.26921	−	1.06500i	−0.994637	−	0.103430i	$-0.967018\pi$
$443$	−26.7138	−	22.4156i	−1.26921	−	1.06500i	−0.274575	−	0.961566i	$-0.588537\pi$
$444$	−4.19523	+	8.57580i	−0.199097	+	0.406989i
$445$	0.0448914	+	0.254592i	0.00212806	+	0.0120688i
$446$	0.464930	+	2.63675i	0.0220151	+	0.124854i
$447$	1.81372	−	3.70756i	0.0857860	−	0.175362i
$448$	0.437295	+	0.366934i	0.0206602	+	0.0173360i
$449$	12.6139	+	21.8480i	0.595288	+	1.03107i	0.993506	+	0.113778i	$0.0362952\pi$
$449$	12.6139	+	21.8480i	0.595288	+	1.03107i	−0.398219	+	0.917291i	$0.630371\pi$
$450$	−0.111776	+	2.99792i	−0.00526915	+	0.141323i
$451$	9.63335	−	16.6854i	0.453617	−	0.785687i
$452$	−7.23234	+	2.63236i	−0.340181	+	0.123816i
$453$	8.88861	+	35.8304i	0.417624	+	1.68346i
$454$	−0.568510	+	0.477037i	−0.0266815	+	0.0223884i
$455$	−3.22297	−	1.17306i	−0.151095	−	0.0549941i
$456$	0.395979	−	3.72518i	0.0185434	−	0.174448i
$457$	5.31967	−	30.1693i	0.248844	−	1.41126i	−0.562550	−	0.826763i	$-0.690180\pi$
$457$	5.31967	−	30.1693i	0.248844	−	1.41126i	0.811394	−	0.584500i	$-0.198709\pi$
$458$	12.8893			0.602277
$459$	25.5851	−	5.34366i	1.19421	−	0.249421i
$460$	3.33828			0.155648
$461$	−2.24252	+	12.7179i	−0.104444	+	0.592334i	0.886996	+	0.461776i	$0.152788\pi$
$461$	−2.24252	+	12.7179i	−0.104444	+	0.592334i	−0.991441	+	0.130557i	$0.958323\pi$
$462$	2.61467	−	1.16043i	0.121645	−	0.0539881i
$463$	9.20893	+	3.35178i	0.427975	+	0.155770i	0.547022	−	0.837118i	$-0.315762\pi$
$463$	9.20893	+	3.35178i	0.427975	+	0.155770i	−0.119046	+	0.992889i	$0.537984\pi$
$464$	7.10690	−	5.96340i	0.329930	−	0.276844i
$465$	2.41337	+	0.695107i	0.111917	+	0.0322348i
$466$	0.212508	−	0.0773466i	0.00984425	−	0.00358301i
$467$	15.7277	−	27.2412i	0.727791	−	1.26057i	−0.230024	−	0.973185i	$-0.573881\pi$
$467$	15.7277	−	27.2412i	0.727791	−	1.26057i	0.957815	−	0.287386i	$-0.0927861\pi$
$468$	17.8553	−	2.46643i	0.825361	−	0.114011i
$469$	0.103092	+	0.178560i	0.00476032	+	0.00824512i
$470$	−2.18866	−	1.83651i	−0.100955	−	0.0847117i
$471$	−34.4742	+	2.36979i	−1.58849	+	0.109194i
$472$	−1.86103	−	10.5544i	−0.0856607	−	0.485806i
$473$	3.87417	+	21.9715i	0.178134	+	1.01025i
$474$	0.123943	+	0.184222i	0.00569290	+	0.00846159i
$475$	−1.65684	−	1.39026i	−0.0760211	−	0.0637893i
$476$	−1.43571	−	2.48672i	−0.0658056	−	0.113979i
$477$	−0.0862272	−	0.267527i	−0.00394807	−	0.0122492i
$478$	−7.20672	+	12.4824i	−0.329628	+	0.570932i
$479$	0.927027	−	0.337410i	0.0423569	−	0.0154167i	−0.320755	−	0.947162i	$-0.603937\pi$
$479$	0.927027	−	0.337410i	0.0423569	−	0.0154167i	0.363112	+	0.931746i	$0.381714\pi$
$480$	−1.24735	+	1.20171i	−0.0569336	+	0.0548504i
$481$	25.3693	−	21.2873i	1.15674	−	0.970620i
$482$	−22.8544	−	8.31832i	−1.04099	−	0.378889i
$483$	2.66802	+	1.94324i	0.121399	+	0.0884206i
$484$	−0.456594	+	2.58947i	−0.0207543	+	0.117703i
$485$	−5.52470			−0.250864
$486$	2.79746	−	15.3354i	0.126895	−	0.695627i
$487$	23.2642			1.05420			0.527102	−	0.849802i	$-0.323279\pi$
$487$	23.2642			1.05420			0.527102	+	0.849802i	$0.323279\pi$
$488$	0.354780	−	2.01206i	0.0160601	−	0.0910816i
$489$	−12.0290	−	8.76127i	−0.543969	−	0.396198i
$490$	−6.27163	−	2.28269i	−0.283324	−	0.103121i
$491$	−9.64876	+	8.09627i	−0.435443	+	0.365380i	−0.834001	−	0.551763i	$-0.813955\pi$
$491$	−9.64876	+	8.09627i	−0.435443	+	0.365380i	0.398558	+	0.917143i	$0.369511\pi$
$492$	−8.30651	+	8.00258i	−0.374486	+	0.360784i
$493$	−43.8519	+	15.9608i	−1.97499	+	0.718837i
$494$	−6.49751	+	11.2540i	−0.292337	+	0.506342i
$495$	2.66265	+	8.26109i	0.119677	+	0.371308i
$496$	0.725002	+	1.25574i	0.0325536	+	0.0563844i
$497$	5.55163	+	4.65837i	0.249025	+	0.208957i
$498$	−16.4132	−	24.3957i	−0.735495	−	1.09320i
$499$	−2.30997	−	13.1005i	−0.103408	−	0.586458i	−0.991844	−	0.127457i	$-0.959319\pi$
$499$	−2.30997	−	13.1005i	−0.103408	−	0.586458i	0.888436	−	0.459001i	$-0.151793\pi$
$500$	0.173648	+	0.984808i	0.00776578	+	0.0440419i
$501$	−19.8058	+	1.36147i	−0.884858	+	0.0608259i
$502$	−18.1716	−	15.2478i	−0.811039	−	0.680543i
$503$	−10.6889	−	18.5137i	−0.476594	−	0.825485i	0.523046	−	0.852304i	$-0.324795\pi$
$503$	−10.6889	−	18.5137i	−0.476594	−	0.825485i	−0.999640	+	0.0268194i	$0.991462\pi$
$504$	−1.69643	+	0.234336i	−0.0755652	+	0.0104382i
$505$	−3.83861	+	6.64867i	−0.170816	+	0.295862i
$506$	9.07584	−	3.30333i	0.403470	−	0.146851i
$507$	−38.4464	−	11.0734i	−1.70746	−	0.491789i
$508$	10.4804	−	8.79411i	0.464993	−	0.390176i
$509$	−7.77629	−	2.83034i	−0.344678	−	0.125453i	0.163880	−	0.986480i	$-0.447599\pi$
$509$	−7.77629	−	2.83034i	−0.344678	−	0.125453i	−0.508558	+	0.861028i	$0.669821\pi$
$510$	7.96333	−	3.53425i	0.352622	−	0.156499i
$511$	−1.28421	+	7.28313i	−0.0568102	+	0.322187i
$512$	−1.00000			−0.0441942
$513$	7.49041	+	8.37842i	0.330710	+	0.369916i
$514$	16.3117			0.719476
$515$	−0.718157	+	4.07287i	−0.0316458	+	0.179472i
$516$	1.41181	−	13.2816i	0.0621513	−	0.584691i
$517$	−7.76763	−	2.82719i	−0.341620	−	0.124339i
$518$	−2.41034	+	2.02252i	−0.105904	+	0.0888642i
$519$	−6.93631	−	27.9606i	−0.304470	−	1.22733i
$520$	5.64593	−	2.05495i	0.247591	−	0.0901156i
$521$	10.7942	−	18.6961i	0.472902	−	0.819090i	−0.526617	−	0.850103i	$-0.676540\pi$
$521$	10.7942	−	18.6961i	0.472902	−	0.819090i	0.999519	+	0.0310126i	$0.00987320\pi$
$522$	−1.03699	+	27.8129i	−0.0453877	+	1.21734i
$523$	−8.90813	−	15.4293i	−0.389525	−	0.674678i	0.602860	−	0.797847i	$-0.294028\pi$
$523$	−8.90813	−	15.4293i	−0.389525	−	0.674678i	−0.992386	+	0.123169i	$0.960694\pi$
$524$	−9.63084	−	8.08123i	−0.420725	−	0.353030i
$525$	−0.434482	+	0.888159i	−0.0189624	+	0.0387624i
$526$	−3.63785	−	20.6312i	−0.158618	−	0.899565i
$527$	−1.26653	−	7.18285i	−0.0551709	−	0.312890i
$528$	−2.20206	+	4.50141i	−0.0958325	+	0.195899i
$529$	−9.08212	−	7.62081i	−0.394875	−	0.331339i
$530$	−0.0468467	−	0.0811408i	−0.00203489	−	0.00352453i
$531$	27.2259	+	17.1021i	1.18150	+	0.742169i
$532$	0.617330	−	1.06925i	0.0267646	−	0.0463577i
$533$	37.5980	−	13.6846i	1.62855	−	0.592744i
$534$	−0.107812	−	0.434596i	−0.00466549	−	0.0188068i
$535$	7.54145	−	6.32802i	0.326045	−	0.273584i
$536$	−0.339405	−	0.123533i	−0.0146601	−	0.00533583i
$537$	0.532197	−	5.00667i	0.0229660	−	0.216054i
$538$	−3.19153	+	18.1001i	−0.137597	+	0.780349i
$539$	−19.3096			−0.831722
$540$	−0.162954	−	5.19360i	−0.00701244	−	0.223497i
$541$	1.16555			0.0501107			0.0250554	−	0.999686i	$-0.492024\pi$
$541$	1.16555			0.0501107			0.0250554	+	0.999686i	$0.492024\pi$
$542$	−3.02565	+	17.1593i	−0.129963	+	0.737055i
$543$	5.26144	−	2.33511i	0.225790	−	0.100209i
$544$	4.72674	+	1.72039i	0.202657	+	0.0737613i
$545$	−14.5120	+	12.1770i	−0.621624	+	0.521604i
$546$	5.70854	+	1.64419i	0.244303	+	0.0703649i
$547$	−30.9499	+	11.2648i	−1.32332	+	0.481649i	−0.904521	−	0.426429i	$-0.859771\pi$
$547$	−30.9499	+	11.2648i	−1.32332	+	0.481649i	−0.418800	+	0.908079i	$0.637549\pi$
$548$	8.19481	−	14.1938i	0.350065	−	0.606330i
$549$	3.76216	+	4.83884i	0.160565	+	0.206517i
$550$	1.44660	+	2.50558i	0.0616831	+	0.106838i
$551$	−15.3712	−	12.8980i	−0.654834	−	0.549471i
$552$	−5.76846	+	0.396529i	−0.245522	+	0.0168774i
$553$	0.0127072	+	0.0720664i	0.000540367	+	0.00306457i
$554$	3.39992	+	19.2819i	0.144449	+	0.819210i
$555$	−5.32924	−	7.92108i	−0.226214	−	0.336231i
$556$	−13.3818	−	11.2287i	−0.567515	−	0.476202i
$557$	−22.6821	−	39.2865i	−0.961071	−	1.66462i	−0.719820	−	0.694161i	$-0.755776\pi$
$557$	−22.6821	−	39.2865i	−0.961071	−	1.66462i	−0.241251	−	0.970463i	$-0.577558\pi$
$558$	−4.25281	−	0.914460i	−0.180036	−	0.0387122i
$559$	−23.1660	+	40.1246i	−0.979815	+	1.69709i
$560$	−0.536421	+	0.195241i	−0.0226679	+	0.00825045i
$561$	18.1528	−	17.4886i	0.766411	−	0.738368i
$562$	−14.0305	+	11.7730i	−0.591842	+	0.496614i
$563$	36.2276	+	13.1858i	1.52681	+	0.555714i	0.962838	−	0.270078i	$-0.0870495\pi$
$563$	36.2276	+	13.1858i	1.52681	+	0.555714i	0.563974	+	0.825792i	$0.309272\pi$
$564$	4.00010	+	2.91346i	0.168434	+	0.122679i
$565$	1.33648	−	7.57957i	0.0562263	−	0.318875i
$566$	27.3243			1.14853
$567$	2.89300	−	4.24568i	0.121495	−	0.178302i
$568$	−12.6954			−0.532688
$569$	7.17810	−	40.7090i	0.300922	−	1.70661i	−0.341185	−	0.939996i	$-0.610828\pi$
$569$	7.17810	−	40.7090i	0.300922	−	1.70661i	0.642107	−	0.766615i	$-0.278061\pi$
$570$	3.02812	+	2.20552i	0.126834	+	0.0923791i
$571$	−37.0912	−	13.5001i	−1.55222	−	0.564962i	−0.583282	−	0.812270i	$-0.698232\pi$
$571$	−37.0912	−	13.5001i	−1.55222	−	0.564962i	−0.968937	+	0.247308i	$0.920454\pi$
$572$	13.3162	−	11.1737i	0.556780	−	0.467194i
$573$	7.53038	−	7.25485i	0.314586	−	0.303076i
$574$	−3.57220	+	1.30017i	−0.149101	+	0.0542682i
$575$	−1.66914	+	2.89104i	−0.0696080	+	0.120565i
$576$	2.01265	−	2.22469i	0.0838604	−	0.0926954i
$577$	19.6925	+	34.1085i	0.819811	+	1.41995i	0.905821	+	0.423660i	$0.139255\pi$
$577$	19.6925	+	34.1085i	0.819811	+	1.41995i	−0.0860108	+	0.996294i	$0.527412\pi$
$578$	−6.35958	−	5.33632i	−0.264524	−	0.221962i
$579$	10.4446	+	15.5242i	0.434062	+	0.645164i
$580$	1.61100	+	9.13645i	0.0668933	+	0.379371i
$581$	−1.68276	−	9.54343i	−0.0698128	−	0.395928i
$582$	9.54653	−	0.656237i	0.395716	−	0.0272019i
$583$	−0.207654	−	0.174242i	−0.00860015	−	0.00721638i
$584$	−6.47764	−	11.2196i	−0.268047	−	0.464270i
$585$	−6.79165	+	16.6963i	−0.280800	+	0.690309i
$586$	−1.99264	+	3.45136i	−0.0823154	+	0.142574i
$587$	6.65314	−	2.42154i	0.274604	−	0.0999479i	−0.201047	−	0.979582i	$-0.564434\pi$
$587$	6.65314	−	2.42154i	0.274604	−	0.0999479i	0.475652	+	0.879634i	$0.342212\pi$
$588$	11.1084	+	3.19946i	0.458101	+	0.131944i
$589$	2.40243	−	2.01588i	0.0989903	−	0.0830627i
$590$	10.0709	+	3.66551i	0.414613	+	0.150907i
$591$	−7.75427	+	3.44146i	−0.318968	+	0.141563i
$592$	0.957138	−	5.42820i	0.0393381	−	0.223098i
$593$	29.9996			1.23194			0.615968	−	0.787771i	$-0.288765\pi$
$593$	29.9996			1.23194			0.615968	+	0.787771i	$0.288765\pi$
$594$	−5.58225	−	13.9587i	−0.229043	−	0.572731i
$595$	2.87142			0.117717
$596$	−0.413798	+	2.34676i	−0.0169498	+	0.0961272i
$597$	4.69980	−	44.2136i	0.192350	−	1.80954i
$598$	18.8477	+	6.86001i	0.770741	+	0.280527i
$599$	−20.2472	+	16.9894i	−0.827277	+	0.694168i	−0.954664	−	0.297685i	$-0.903785\pi$
$599$	−20.2472	+	16.9894i	−0.827277	+	0.694168i	0.127387	+	0.991853i	$0.459341\pi$
$600$	−0.417037	−	1.68109i	−0.0170255	−	0.0686304i
$601$	−31.9547	+	11.6306i	−1.30346	+	0.474421i	−0.898122	−	0.439746i	$-0.855068\pi$
$601$	−31.9547	+	11.6306i	−1.30346	+	0.474421i	−0.405338	+	0.914167i	$0.632846\pi$
$602$	2.20100	−	3.81225i	0.0897061	−	0.155376i
$603$	0.957928	−	0.506442i	0.0390098	−	0.0206239i
$604$	−10.6569	−	18.4582i	−0.433622	−	0.751055i
$605$	−2.01425	−	1.69016i	−0.0818910	−	0.0687147i
$606$	5.84327	−	11.9447i	0.237367	−	0.485219i
$607$	−4.86330	−	27.5811i	−0.197395	−	1.11948i	−0.908966	−	0.416870i	$-0.863127\pi$
$607$	−4.86330	−	27.5811i	−0.197395	−	1.11948i	0.711571	−	0.702614i	$-0.247984\pi$
$608$	0.375576	+	2.12999i	0.0152316	+	0.0863827i
$609$	−4.03087	+	8.23980i	−0.163339	+	0.333894i
$610$	1.56510	+	1.31328i	0.0633692	+	0.0531731i
$611$	−8.58311	−	14.8664i	−0.347236	−	0.601430i
$612$	−13.3406	+	7.05299i	−0.539262	+	0.285100i
$613$	7.34957	−	12.7298i	0.296847	−	0.514153i	−0.678566	−	0.734539i	$-0.737398\pi$
$613$	7.34957	−	12.7298i	0.296847	−	0.514153i	0.975413	+	0.220386i	$0.0707317\pi$
$614$	−28.5134	+	10.3780i	−1.15071	+	0.418823i
$615$	−2.77718	−	11.1949i	−0.111987	−	0.451423i
$616$	−1.26518	+	1.06161i	−0.0509755	+	0.0427735i
$617$	−23.7074	−	8.62877i	−0.954422	−	0.347381i	−0.182577	−	0.983192i	$-0.558444\pi$
$617$	−23.7074	−	8.62877i	−0.954422	−	0.347381i	−0.771845	+	0.635810i	$0.780666\pi$
$618$	0.757171	−	7.12312i	0.0304579	−	0.286534i
$619$	0.836852	−	4.74602i	0.0336359	−	0.190759i	−0.963360	−	0.268211i	$-0.913567\pi$
$619$	0.836852	−	4.74602i	0.0336359	−	0.190759i	0.996996	+	0.0774524i	$0.0246786\pi$
$620$	−1.45000			−0.0582336
$621$	10.7277	−	13.6311i	0.430489	−	0.546998i
$622$	−5.91640			−0.237226
$623$	0.0256262	−	0.145333i	0.00102669	−	0.00582265i
$624$	−9.51193	+	4.22154i	−0.380782	+	0.168997i
$625$	−0.939693	−	0.342020i	−0.0375877	−	0.0136808i
$626$	−2.41394	+	2.02554i	−0.0964806	+	0.0809568i
$627$	10.4150	+	2.99976i	0.415935	+	0.119799i
$628$	18.7475	−	6.82354i	0.748107	−	0.272289i
$629$	−13.8628	+	24.0110i	−0.552745	+	0.957383i
$630$	0.645276	−	1.58632i	0.0257084	−	0.0632006i
$631$	−3.67277	−	6.36143i	−0.146211	−	0.253244i	0.783613	−	0.621249i	$-0.213374\pi$
$631$	−3.67277	−	6.36143i	−0.146211	−	0.253244i	−0.929824	+	0.368005i	$0.880041\pi$
$632$	−0.0982008	−	0.0824003i	−0.00390622	−	0.00327771i
$633$	4.23315	−	0.290990i	0.168252	−	0.0115658i
$634$	−1.34638	−	7.63568i	−0.0534714	−	0.303252i
$635$	2.37572	+	13.4734i	0.0942775	+	0.534674i
$636$	0.0905879	+	0.134645i	0.00359204	+	0.00533900i
$637$	−30.7184	−	25.7758i	−1.21711	−	1.02127i
$638$	13.4207	+	23.2453i	0.531329	+	0.920289i
$639$	25.5514	−	28.2434i	1.01080	−	1.11729i
$640$	0.500000	−	0.866025i	0.0197642	−	0.0342327i
$641$	−1.26883	+	0.461817i	−0.0501159	+	0.0182407i	−0.366956	−	0.930238i	$-0.619600\pi$
$641$	−1.26883	+	0.461817i	−0.0501159	+	0.0182407i	0.316841	+	0.948479i	$0.397378\pi$
$642$	−12.2798	+	11.8304i	−0.484643	+	0.466910i
$643$	−4.31063	+	3.61705i	−0.169995	+	0.142642i	−0.723816	−	0.689993i	$-0.757614\pi$
$643$	−4.31063	+	3.61705i	−0.169995	+	0.142642i	0.553821	+	0.832636i	$0.313169\pi$
$644$	−1.79073	−	0.651771i	−0.0705645	−	0.0256834i
$645$	10.7963	+	7.86347i	0.425105	+	0.309624i
$646$	1.88918	−	10.7141i	0.0743288	−	0.421540i
$647$	22.9469			0.902135			0.451067	−	0.892490i	$-0.351043\pi$
$647$	22.9469			0.902135			0.451067	+	0.892490i	$0.351043\pi$
$648$	0.898489	+	8.95504i	0.0352960	+	0.351787i
$649$	31.0070			1.21713
$650$	−1.04333	+	5.91700i	−0.0409226	+	0.232084i
$651$	−1.15887	−	0.844060i	−0.0454197	−	0.0330813i
$652$	8.07363	+	2.93856i	0.316188	+	0.115083i
$653$	−1.94662	+	1.63341i	−0.0761771	+	0.0639202i	−0.680081	−	0.733137i	$-0.738055\pi$
$653$	−1.94662	+	1.63341i	−0.0761771	+	0.0639202i	0.603904	+	0.797057i	$0.293611\pi$
$654$	23.6299	−	22.7653i	0.924001	−	0.890192i
$655$	11.8140	−	4.29993i	0.461610	−	0.168012i
$656$	3.32966	−	5.76714i	0.130001	−	0.225169i
$657$	37.9973	+	8.17038i	1.48242	+	0.318757i
$658$	0.815483	+	1.41246i	0.0317908	+	0.0550634i
$659$	13.1962	+	11.0730i	0.514052	+	0.431341i	0.862552	−	0.505968i	$-0.168864\pi$
$659$	13.1962	+	11.0730i	0.514052	+	0.431341i	−0.348500	+	0.937309i	$0.613309\pi$
$660$	−2.79730	−	4.15775i	−0.108885	−	0.161840i
$661$	8.23484	+	46.7021i	0.320298	+	1.81650i	0.540841	+	0.841125i	$0.318106\pi$
$661$	8.23484	+	46.7021i	0.320298	+	1.81650i	−0.220543	+	0.975377i	$0.570783\pi$
$662$	−1.60773	−	9.11788i	−0.0624861	−	0.354376i
$663$	52.2231	−	3.58986i	2.02818	−	0.139419i
$664$	13.0043	+	10.9119i	0.504664	+	0.423464i
$665$	0.617330	+	1.06925i	0.0239390	+	0.0414636i
$666$	10.1497	+	13.0544i	0.393292	+	0.505847i
$667$	−15.4853	+	26.8213i	−0.599593	+	1.03853i
$668$	10.7706	−	3.92019i	0.416728	−	0.151677i
$669$	4.45627	+	1.28351i	0.172290	+	0.0496234i
$670$	0.276686	−	0.232167i	0.0106893	−	0.00896939i
$671$	5.55460	+	2.02171i	0.214433	+	0.0780472i
$672$	0.903730	−	0.401089i	0.0348621	−	0.0154723i
$673$	4.65958	−	26.4258i	0.179614	−	1.01864i	−0.753069	−	0.657942i	$-0.771427\pi$
$673$	4.65958	−	26.4258i	0.179614	−	1.01864i	0.932683	−	0.360698i	$-0.117462\pi$
$674$	−14.9280			−0.575006
$675$	4.57926	+	2.45568i	0.176256	+	0.0945190i
$676$	23.0994			0.888438
$677$	−1.22157	+	6.92787i	−0.0469488	+	0.266260i	−0.999242	−	0.0389243i	$-0.987607\pi$
$677$	−1.22157	+	6.92787i	−0.0469488	+	0.266260i	0.952293	+	0.305184i	$0.0987180\pi$
$678$	−1.40909	+	13.2560i	−0.0541157	+	0.509095i
$679$	2.96356	+	1.07865i	0.113731	+	0.0413948i
$680$	−3.85328	+	3.23328i	−0.147766	+	0.123991i
$681$	0.309499	+	1.24760i	0.0118600	+	0.0478082i
$682$	−3.94215	+	1.43482i	−0.150953	+	0.0549423i
$683$	−2.25159	+	3.89987i	−0.0861548	+	0.149224i	−0.905883	−	0.423529i	$-0.860791\pi$
$683$	−2.25159	+	3.89987i	−0.0861548	+	0.149224i	0.819728	+	0.572753i	$0.194125\pi$
$684$	−5.49448	−	3.45139i	−0.210087	−	0.131967i
$685$	8.19481	+	14.1938i	0.313108	+	0.542318i
$686$	5.97962	+	5.01750i	0.228303	+	0.191569i
$687$	9.81027	−	20.0539i	0.374285	−	0.765105i
$688$	1.33906	+	7.59419i	0.0510512	+	0.289526i
$689$	−0.0977527	−	0.554383i	−0.00372408	−	0.0211203i
$690$	2.54083	−	5.19390i	0.0967276	−	0.197728i
$691$	−1.16902	−	0.980925i	−0.0444716	−	0.0373161i	0.620281	−	0.784380i	$-0.287019\pi$
$691$	−1.16902	−	0.980925i	−0.0444716	−	0.0373161i	−0.664753	+	0.747064i	$0.731463\pi$
$692$	8.31618	+	14.4040i	0.316134	+	0.547560i
$693$	0.184606	−	4.95128i	0.00701258	−	0.188084i
$694$	9.26393	−	16.0456i	0.351654	−	0.609083i
$695$	16.4152	−	5.97465i	0.622665	−	0.226632i
$696$	−3.86902	−	15.5962i	−0.146655	−	0.591172i
$697$	−25.6602	+	21.5314i	−0.971948	+	0.815561i
$698$	−3.33108	−	1.21241i	−0.126083	−	0.0458905i
$699$	0.0414032	−	0.389503i	0.00156601	−	0.0147323i
$700$	0.0991266	−	0.562175i	0.00374663	−	0.0212482i
$701$	11.1432			0.420874			0.210437	−	0.977607i	$-0.432511\pi$
$701$	11.1432			0.420874			0.210437	+	0.977607i	$0.432511\pi$
$702$	9.75256	−	29.6576i	0.368087	−	1.11935i
$703$	−11.9215			−0.449628
$704$	0.502398	−	2.84924i	0.0189348	−	0.107385i
$705$	−4.52318	+	2.00745i	−0.170353	+	0.0756051i
$706$	−15.9511	−	5.80572i	−0.600327	−	0.218501i
$707$	3.35721	−	2.81703i	0.126261	−	0.105945i
$708$	−17.8376	−	5.13765i	−0.670380	−	0.193085i
$709$	−43.8696	+	15.9672i	−1.64756	+	0.599661i	−0.988336	−	0.152288i	$-0.951336\pi$
$709$	−43.8696	+	15.9672i	−1.64756	+	0.599661i	−0.659220	+	0.751950i	$0.729114\pi$
$710$	6.34771	−	10.9945i	0.238225	−	0.412618i
$711$	0.380959	−	0.0526235i	0.0142871	−	0.00197354i
$712$	0.129260	+	0.223884i	0.00484421	+	0.00839042i
$713$	−3.70806	−	3.11143i	−0.138868	−	0.116524i
$714$	−4.96173	+	0.341074i	−0.185688	+	0.0127644i
$715$	3.01855	+	17.1190i	0.112887	+	0.640215i
$716$	0.504776	+	2.86272i	0.0188643	+	0.106985i
$717$	13.9357	+	20.7132i	0.520438	+	0.773549i
$718$	−24.9439	−	20.9304i	−0.930898	−	0.781116i
$719$	15.7114	+	27.2130i	0.585937	+	1.01487i	0.994758	+	0.102258i	$0.0326066\pi$
$719$	15.7114	+	27.2130i	0.585937	+	1.01487i	−0.408821	+	0.912614i	$0.634060\pi$
$720$	0.920313	+	2.85535i	0.0342981	+	0.106413i
$721$	1.18043	−	2.04456i	0.0439614	−	0.0761434i
$722$	−13.4583	+	4.89844i	−0.500868	+	0.182301i
$723$	−30.3370	+	29.2270i	−1.12825	+	1.08696i
$724$	−2.54589	+	2.13626i	−0.0946173	+	0.0793933i
$725$	−8.71790	−	3.17306i	−0.323775	−	0.117844i
$726$	3.68134	+	2.68129i	0.136627	+	0.0995121i
$727$	2.40314	−	13.6289i	0.0891275	−	0.505467i	−0.907262	−	0.420566i	$-0.861832\pi$
$727$	2.40314	−	13.6289i	0.0891275	−	0.505467i	0.996389	−	0.0849009i	$-0.0270574\pi$
$728$	−3.42981			−0.127117
$729$	−21.7305	−	16.0245i	−0.804834	−	0.593500i
$730$	12.9553			0.479496
$731$	6.73560	−	38.1995i	0.249125	−	1.41286i
$732$	−2.86045	−	2.08340i	−0.105725	−	0.0770048i
$733$	−33.2618	−	12.1063i	−1.22855	−	0.447157i	−0.355452	−	0.934695i	$-0.615673\pi$
$733$	−33.2618	−	12.1063i	−1.22855	−	0.447157i	−0.873102	+	0.487537i	$0.837895\pi$
$734$	−16.9789	+	14.2470i	−0.626701	+	0.525865i
$735$	−8.32500	+	8.02039i	−0.307072	+	0.295836i
$736$	3.13696	−	1.14176i	0.115630	−	0.0420858i
$737$	0.522493	−	0.904985i	0.0192463	−	0.0333355i
$738$	6.12866	+	19.0147i	0.225599	+	0.699940i
$739$	−6.69944	−	11.6038i	−0.246443	−	0.426852i	0.716093	−	0.698005i	$-0.245928\pi$
$739$	−6.69944	−	11.6038i	−0.246443	−	0.426852i	−0.962536	+	0.271153i	$0.912595\pi$
$740$	4.22239	+	3.54300i	0.155218	+	0.130243i
$741$	12.5643	+	18.6748i	0.461561	+	0.686038i
$742$	0.00928750	+	0.0526721i	0.000340955	+	0.00193365i
$743$	3.54950	+	20.1302i	0.130219	+	0.738506i	0.978071	+	0.208273i	$0.0667844\pi$
$743$	3.54950	+	20.1302i	0.130219	+	0.738506i	−0.847852	+	0.530233i	$0.822105\pi$
$744$	2.50557	−	0.172235i	0.0918586	−	0.00631444i
$745$	−1.82546	−	1.53174i	−0.0668796	−	0.0561187i
$746$	9.62620	+	16.6731i	0.352440	+	0.610444i
$747$	−50.4487	+	6.96870i	−1.84582	+	0.254971i
$748$	−7.27652	+	12.6033i	−0.266056	+	0.460823i
$749$	−5.28088	+	1.92208i	−0.192959	+	0.0702314i
$750$	1.66439	+	0.479383i	0.0607749	+	0.0175046i
$751$	−2.18523	+	1.83362i	−0.0797400	+	0.0669098i	−0.681786	−	0.731551i	$-0.738797\pi$
$751$	−2.18523	+	1.83362i	−0.0797400	+	0.0669098i	0.602046	+	0.798461i	$0.294352\pi$
$752$	−2.68479	−	0.977185i	−0.0979043	−	0.0356343i
$753$	−37.5542	+	16.6671i	−1.36855	+	0.607384i
$754$	−9.67935	+	54.8943i	−0.352501	+	1.99913i
$755$	21.3137			0.775686
$756$	−0.926592	+	2.81777i	−0.0336998	+	0.102481i
$757$	2.98538			0.108506			0.0542528	−	0.998527i	$-0.482722\pi$
$757$	2.98538			0.108506			0.0542528	+	0.998527i	$0.482722\pi$
$758$	2.30520	−	13.0734i	0.0837285	−	0.474848i
$759$	1.76826	−	16.6350i	0.0641837	−	0.603811i
$760$	−2.03242	−	0.739739i	−0.0737235	−	0.0268332i
$761$	−4.36063	+	3.65901i	−0.158073	+	0.132639i	−0.718394	−	0.695637i	$-0.755122\pi$
$761$	−4.36063	+	3.65901i	−0.158073	+	0.132639i	0.560321	+	0.828276i	$0.310678\pi$
$762$	−5.70557	−	22.9994i	−0.206691	−	0.833181i
$763$	10.1620	−	3.69866i	0.367888	−	0.133900i
$764$	−3.01855	+	5.22828i	−0.109207	+	0.189152i
$765$	0.562242	−	15.0798i	0.0203279	−	0.545211i
$766$	−14.2815	−	24.7363i	−0.516013	−	0.893761i
$767$	49.3272	+	41.3904i	1.78110	+	1.49452i
$768$	−0.761118	+	1.55586i	−0.0274645	+	0.0561423i
$769$	5.14232	+	29.1635i	0.185437	+	1.05166i	0.925393	+	0.379009i	$0.123735\pi$
$769$	5.14232	+	29.1635i	0.185437	+	1.05166i	−0.739956	+	0.672655i	$0.765154\pi$
$770$	−0.286793	−	1.62648i	−0.0103353	−	0.0586143i
$771$	12.4151	−	25.3787i	0.447119	−	0.913990i
$772$	−8.27530	−	6.94380i	−0.297834	−	0.249913i
$773$	4.42203	+	7.65919i	0.159050	+	0.275482i	0.934526	−	0.355894i	$-0.115824\pi$
$773$	4.42203	+	7.65919i	0.159050	+	0.275482i	−0.775477	+	0.631376i	$0.782490\pi$
$774$	−19.5898	−	12.3055i	−0.704140	−	0.442310i
$775$	0.725002	−	1.25574i	0.0260429	−	0.0451075i
$776$	−5.19152	+	1.88956i	−0.186365	+	0.0678312i
$777$	1.31220	+	5.28952i	0.0470748	+	0.189761i
$778$	19.2463	−	16.1496i	0.690013	−	0.578990i
$779$	−13.5345	−	4.92616i	−0.484924	−	0.176498i
$780$	1.10000	−	10.3483i	0.0393865	−	0.370530i
$781$	6.37815	−	36.1723i	0.228228	−	1.29435i
$782$	−16.7919			−0.600476
$783$	42.4837	+	22.7823i	1.51824	+	0.814172i
$784$	−6.67413			−0.238362
$785$	−3.46440	+	19.6476i	−0.123650	+	0.701253i
$786$	−19.9035	+	8.83346i	−0.709933	+	0.315079i
$787$	−7.35721	−	2.67780i	−0.262256	−	0.0954534i	0.207546	−	0.978225i	$-0.433452\pi$
$787$	−7.35721	−	2.67780i	−0.262256	−	0.0954534i	−0.469802	+	0.882772i	$0.655675\pi$
$788$	3.75211	−	3.14840i	0.133664	−	0.112157i
$789$	−34.8682	−	10.0428i	−1.24134	−	0.357534i
$790$	0.120461	−	0.0438443i	0.00428582	−	0.00155991i
$791$	−2.19676	+	3.80491i	−0.0781079	+	0.135287i
$792$	5.32753	+	6.85220i	0.189305	+	0.243482i
$793$	6.13775	+	10.6309i	0.217958	+	0.377514i
$794$	19.4825	+	16.3478i	0.691408	+	0.580161i
$795$	−0.161900	+	0.0111291i	−0.00574199	+	0.000394709i
$796$	4.45764	+	25.2805i	0.157997	+	0.896045i
$797$	3.14654	+	17.8449i	0.111456	+	0.632099i	0.988444	+	0.151587i	$0.0484382\pi$
$797$	3.14654	+	17.8449i	0.111456	+	0.632099i	−0.876988	+	0.480512i	$0.840451\pi$
$798$	−1.19374	−	1.77430i	−0.0422578	−	0.0628096i
$799$	11.0092	+	9.23780i	0.389477	+	0.326810i
$800$	0.500000	+	0.866025i	0.0176777	+	0.0306186i
$801$	−0.758228	−	0.163038i	−0.0267907	−	0.00576066i
$802$	12.2566	−	21.2290i	0.432795	−	0.749622i
$803$	35.2217	−	12.8196i	1.24295	−	0.452396i
$804$	−0.450528	+	0.434044i	−0.0158889	+	0.0153075i
$805$	1.45981	−	1.22493i	0.0514516	−	0.0431730i
$806$	−8.18663	−	2.97969i	−0.288362	−	0.104955i
$807$	25.7320	+	18.7418i	0.905810	+	0.659744i
$808$	−1.33314	+	7.56059i	−0.0468995	+	0.265981i
$809$	−7.95101			−0.279543			−0.139771	−	0.990184i	$-0.544637\pi$
$809$	−7.95101			−0.279543			−0.139771	+	0.990184i	$0.544637\pi$
$810$	−8.20454	−	3.69941i	−0.288278	−	0.129984i
$811$	−41.4489			−1.45547			−0.727735	−	0.685859i	$-0.759427\pi$
$811$	−41.4489			−1.45547			−0.727735	+	0.685859i	$0.759427\pi$
$812$	0.919637	−	5.21552i	0.0322729	−	0.183029i
$813$	24.3946	+	17.7677i	0.855556	+	0.623142i
$814$	14.9854	+	5.45423i	0.525237	+	0.191171i
$815$	−6.58168	+	5.52269i	−0.230546	+	0.193451i
$816$	6.27430	−	6.04473i	0.219644	−	0.211608i
$817$	15.6727	−	5.70439i	0.548317	−	0.199571i
$818$	−14.6366	+	25.3514i	−0.511758	+	0.886390i
$819$	6.90300	−	7.63026i	0.241210	−	0.266623i
$820$	3.32966	+	5.76714i	0.116277	+	0.201397i
$821$	6.00751	+	5.04090i	0.209664	+	0.175929i	0.741572	−	0.670873i	$-0.234081\pi$
$821$	6.00751	+	5.04090i	0.209664	+	0.175929i	−0.531908	+	0.846802i	$0.678525\pi$
$822$	−15.8464	−	23.5531i	−0.552706	−	0.821510i
$823$	−4.23208	−	24.0013i	−0.147521	−	0.836634i	−0.965308	−	0.261113i	$-0.915910\pi$
$823$	−4.23208	−	24.0013i	−0.147521	−	0.836634i	0.817787	−	0.575521i	$-0.195201\pi$
$824$	0.718157	+	4.07287i	0.0250182	+	0.141885i
$825$	4.99936	−	0.343661i	0.174055	−	0.0119647i
$826$	−4.68659	−	3.93251i	−0.163067	−	0.136830i
$827$	−3.91825	−	6.78661i	−0.136251	−	0.235994i	0.789824	−	0.613334i	$-0.210172\pi$
$827$	−3.91825	−	6.78661i	−0.136251	−	0.235994i	−0.926075	+	0.377340i	$0.876839\pi$
$828$	−3.77354	+	9.27672i	−0.131139	+	0.322388i
$829$	−0.961792	+	1.66587i	−0.0334044	+	0.0578581i	−0.882244	−	0.470792i	$-0.843968\pi$
$829$	−0.961792	+	1.66587i	−0.0334044	+	0.0578581i	0.848840	+	0.528650i	$0.177302\pi$
$830$	−15.9521	+	5.80610i	−0.553706	+	0.201533i
$831$	32.5877	+	9.38601i	1.13045	+	0.325597i
$832$	4.60261	−	3.86205i	0.159567	−	0.133892i
$833$	31.5469	+	11.4821i	1.09304	+	0.397832i
$834$	−27.6554	+	12.2739i	−0.957628	+	0.425010i
$835$	−1.99033	+	11.2877i	−0.0688783	+	0.390628i
$836$	−6.25756			−0.216422
$837$	−4.65966	+	5.92076i	−0.161061	+	0.204651i
$838$	−10.3144			−0.356303
$839$	1.00490	−	5.69908i	0.0346931	−	0.196754i	−0.962535	−	0.271157i	$-0.912594\pi$
$839$	1.00490	−	5.69908i	0.0346931	−	0.196754i	0.997228	+	0.0744025i	$0.0237049\pi$
$840$	−0.104512	+	0.983198i	−0.00360599	+	0.0339235i
$841$	−53.6284	−	19.5191i	−1.84925	−	0.673074i
$842$	−4.97640	+	4.17570i	−0.171498	+	0.143904i
$843$	7.63826	+	30.7902i	0.263076	+	1.06047i
$844$	−2.30204	+	0.837873i	−0.0792393	+	0.0288408i
$845$	−11.5497	+	20.0047i	−0.397321	+	0.688181i
$846$	7.57748	−	4.00610i	0.260519	−	0.137733i
$847$	0.750499	+	1.29990i	0.0257875	+	0.0446652i
$848$	−0.0717733	−	0.0602249i	−0.00246470	−	0.00206813i
$849$	20.7970	−	42.5128i	0.713751	−	1.45903i
$850$	−0.873467	−	4.95368i	−0.0299597	−	0.169910i
$851$	3.19520	+	18.1209i	0.109530	+	0.621175i
$852$	−9.66271	+	19.7523i	−0.331039	+	0.676702i
$853$	40.2314	+	33.7581i	1.37750	+	1.15586i	0.970128	+	0.242592i	$0.0779976\pi$
$853$	40.2314	+	33.7581i	1.37750	+	1.15586i	0.407367	+	0.913264i	$0.366447\pi$
$854$	−0.583149	−	1.01004i	−0.0199549	−	0.0345630i
$855$	5.73623	−	3.03266i	0.196175	−	0.103715i
$856$	4.92233	−	8.52572i	0.168242	−	0.291403i
$857$	−38.8317	+	14.1336i	−1.32647	+	0.482794i	−0.905525	−	0.424294i	$-0.860522\pi$
$857$	−38.8317	+	14.1336i	−1.32647	+	0.482794i	−0.420942	+	0.907088i	$0.638300\pi$
$858$	−7.24941	−	29.2227i	−0.247491	−	0.997645i
$859$	40.3532	−	33.8604i	1.37683	−	1.15530i	0.406467	−	0.913666i	$-0.366761\pi$
$859$	40.3532	−	33.8604i	1.37683	−	1.15530i	0.970367	−	0.241635i	$-0.0776837\pi$
$860$	−7.24630	−	2.63744i	−0.247097	−	0.0899358i
$861$	−0.695976	+	6.54742i	−0.0237188	+	0.223136i
$862$	0.0836899	−	0.474629i	0.00285049	−	0.0161659i
$863$	−51.9385			−1.76801			−0.884004	−	0.467479i	$-0.845162\pi$
$863$	−51.9385			−1.76801			−0.884004	+	0.467479i	$0.845162\pi$
$864$	−1.92944	−	4.82465i	−0.0656409	−	0.164138i
$865$	−16.6324			−0.565517
$866$	−0.126647	+	0.718251i	−0.00430364	+	0.0244072i
$867$	−13.1430	+	5.83305i	−0.446358	+	0.198101i
$868$	0.777813	+	0.283101i	0.0264007	+	0.00960907i
$869$	0.284114	−	0.238400i	0.00963791	−	0.00808717i
$870$	15.4412	+	4.44742i	0.523506	+	0.150782i
$871$	2.03924	−	0.742223i	0.0690971	−	0.0251493i
$872$	−9.47201	+	16.4060i	−0.320763	+	0.555577i
$873$	6.24502	−	15.3525i	0.211362	−	0.519604i
$874$	−3.61011	−	6.25289i	−0.122114	−	0.211507i
$875$	0.437295	+	0.366934i	0.0147833	+	0.0124046i
$876$	−22.3864	+	1.53886i	−0.756365	+	0.0519932i
$877$	−2.99945	−	17.0108i	−0.101284	−	0.574412i	−0.992640	−	0.121107i	$-0.961356\pi$
$877$	−2.99945	−	17.0108i	−0.101284	−	0.574412i	0.891355	−	0.453306i	$-0.149755\pi$
$878$	3.03259	+	17.1987i	0.102345	+	0.580428i
$879$	3.85320	+	5.72717i	0.129965	+	0.193173i
$880$	2.21632	+	1.85971i	0.0747120	+	0.0626908i
$881$	−0.813144	−	1.40841i	−0.0273955	−	0.0474505i	0.852003	−	0.523538i	$-0.175388\pi$
$881$	−0.813144	−	1.40841i	−0.0273955	−	0.0474505i	−0.879398	+	0.476087i	$0.842055\pi$
$882$	13.4327	−	14.8479i	0.452302	−	0.499954i
$883$	−9.27864	+	16.0711i	−0.312251	+	0.540835i	−0.978849	−	0.204582i	$-0.934416\pi$
$883$	−9.27864	+	16.0711i	−0.312251	+	0.540835i	0.666598	+	0.745417i	$0.267750\pi$
$884$	−28.3996	+	10.3366i	−0.955181	+	0.347657i
$885$	13.3682	−	12.8790i	0.449366	−	0.432924i
$886$	26.7138	−	22.4156i	0.897468	−	0.753065i
$887$	3.03772	+	1.10564i	0.101997	+	0.0371238i	0.392514	−	0.919746i	$-0.371605\pi$
$887$	3.03772	+	1.10564i	0.101997	+	0.0371238i	−0.290518	+	0.956870i	$0.593828\pi$
$888$	−7.71702	−	5.62067i	−0.258966	−	0.188617i
$889$	1.35617	−	7.69124i	0.0454846	−	0.257956i
$890$	−0.258519			−0.00866559
$891$	−25.9665	−	1.93898i	−0.869909	−	0.0649584i
$892$	−2.67742			−0.0896468
$893$	−1.07306	+	6.08560i	−0.0359084	+	0.203647i
$894$	3.33629	+	2.42998i	0.111582	+	0.0812705i
$895$	−2.73158	−	0.994214i	−0.0913067	−	0.0332329i
$896$	−0.437295	+	0.366934i	−0.0146090	+	0.0122584i
$897$	25.0185	−	24.1031i	0.835345	−	0.804780i
$898$	−23.7064	+	8.62843i	−0.791093	+	0.287934i
$899$	6.72614	−	11.6500i	0.224329	−	0.388550i
$900$	−2.93296	−	0.630660i	−0.0977654	−	0.0210220i
$901$	0.235643	+	0.408146i	0.00785041	+	0.0135973i
$902$	14.7591	+	12.3844i	0.491426	+	0.412355i
$903$	−4.25610	−	6.32602i	−0.141634	−	0.210517i
$904$	−1.33648	−	7.57957i	−0.0444508	−	0.252093i
$905$	−0.577107	−	3.27293i	−0.0191837	−	0.108796i
$906$	−36.8295	+	2.53169i	−1.22358	+	0.0841099i
$907$	12.7452	+	10.6945i	0.423198	+	0.355105i	0.829378	−	0.558688i	$-0.188695\pi$
$907$	12.7452	+	10.6945i	0.423198	+	0.355105i	−0.406180	+	0.913793i	$0.633140\pi$
$908$	−0.371069	−	0.642710i	−0.0123143	−	0.0213291i
$909$	−14.1368	−	18.1826i	−0.468889	−	0.603079i
$910$	1.71490	−	2.97030i	0.0568485	−	0.0984645i
$911$	−24.7868	+	9.02167i	−0.821224	+	0.298901i	−0.718252	−	0.695783i	$-0.755057\pi$
$911$	−24.7868	+	9.02167i	−0.821224	+	0.298901i	−0.102972	+	0.994684i	$0.532835\pi$
$912$	3.59983	+	1.03683i	0.119202	+	0.0343330i
$913$	−37.6240	+	31.5703i	−1.24517	+	1.04482i
$914$	28.7873	+	10.4777i	0.952198	+	0.346572i
$915$	3.23450	−	1.43552i	0.106929	−	0.0474569i
$916$	−2.23820	+	12.6935i	−0.0739523	+	0.419404i
$917$	−7.17679			−0.236998
$918$	0.819676	+	26.1243i	0.0270534	+	0.862230i
$919$	33.8346			1.11610			0.558050	−	0.829807i	$-0.311550\pi$
$919$	33.8346			1.11610			0.558050	+	0.829807i	$0.311550\pi$
$920$	−0.579687	+	3.28757i	−0.0191117	+	0.108388i
$921$	−5.55530	+	52.2617i	−0.183053	+	1.72208i
$922$	−12.1353	−	4.41690i	−0.399655	−	0.145463i
$923$	58.4320	−	49.0303i	1.92331	−	1.61385i
$924$	0.688767	+	2.77645i	0.0226588	+	0.0913385i
$925$	−5.17953	+	1.88519i	−0.170302	+	0.0619848i
$926$	−4.89997	+	8.48700i	−0.161023	+	0.278900i
$927$	−10.5063	−	6.59959i	−0.345071	−	0.216759i
$928$	4.63870	+	8.03446i	0.152273	+	0.263744i
$929$	2.46472	+	2.06815i	0.0808650	+	0.0678538i	0.682324	−	0.731050i	$-0.260969\pi$
$929$	2.46472	+	2.06815i	0.0808650	+	0.0678538i	−0.601459	+	0.798904i	$0.705414\pi$
$930$	−1.10362	+	2.25600i	−0.0361893	+	0.0739773i
$931$	2.50664	+	14.2159i	0.0821518	+	0.465906i
$932$	0.0392699	+	0.222711i	0.00128633	+	0.00729513i
$933$	−4.50308	+	9.20509i	−0.147424	+	0.301361i
$934$	24.0962	+	20.2191i	0.788452	+	0.661590i
$935$	−7.27652	−	12.6033i	−0.237968	−	0.412172i
$936$	−0.671578	+	18.0123i	−0.0219512	+	0.588751i
$937$	27.2169	−	47.1411i	0.889138	−	1.54003i	0.0482423	−	0.998836i	$-0.484638\pi$
$937$	27.2169	−	47.1411i	0.889138	−	1.54003i	0.840896	−	0.541197i	$-0.182029\pi$
$938$	−0.193749	+	0.0705188i	−0.00632612	+	0.00230252i
$939$	1.31416	+	5.29743i	0.0428860	+	0.172875i
$940$	2.18866	−	1.83651i	0.0713863	−	0.0599002i
$941$	52.2314	+	19.0107i	1.70270	+	0.619730i	0.996128	−	0.0879153i	$-0.0280205\pi$
$941$	52.2314	+	19.0107i	1.70270	+	0.619730i	0.706567	+	0.707646i	$0.250243\pi$
$942$	3.65260	−	34.3620i	0.119008	−	1.11958i
$943$	−3.86032	+	21.8929i	−0.125709	+	0.712932i
$944$	10.7172			0.348816
$945$	−1.97696	−	2.21134i	−0.0643107	−	0.0719348i
$946$	−22.3104			−0.725375
$947$	−0.261213	+	1.48141i	−0.00848827	+	0.0481394i	−0.988758	−	0.149527i	$-0.952225\pi$
$947$	−0.261213	+	1.48141i	−0.00848827	+	0.0481394i	0.980269	+	0.197666i	$0.0633361\pi$
$948$	−0.202946	+	0.0900704i	−0.00659137	+	0.00292535i
$949$	73.1446	+	26.6225i	2.37437	+	0.864202i
$950$	1.65684	−	1.39026i	0.0537550	−	0.0451058i
$951$	−12.9048	−	3.71688i	−0.418467	−	0.120528i
$952$	2.69825	−	0.982082i	0.0874507	−	0.0318295i
$953$	23.1027	−	40.0150i	0.748369	−	1.29621i	−0.200234	−	0.979748i	$-0.564170\pi$
$953$	23.1027	−	40.0150i	0.748369	−	1.29621i	0.948604	−	0.316466i	$-0.102496\pi$
$954$	0.278436	−	0.0384616i	0.00901470	−	0.00124524i
$955$	−3.01855	−	5.22828i	−0.0976779	−	0.169183i
$956$	−11.0413	−	9.26478i	−0.357102	−	0.299644i
$957$	46.3811	−	3.18828i	1.49929	−	0.103062i
$958$	0.171308	+	0.971534i	0.00553470	+	0.0313888i
$959$	−1.62465	−	9.21383i	−0.0524626	−	0.297530i
$960$	−0.966855	−	1.43708i	−0.0312051	−	0.0463815i
$961$	−22.1368	−	18.5749i	−0.714089	−	0.599192i
$962$	16.5586	+	28.6804i	0.533871	+	0.924692i
$963$	9.06017	+	28.1099i	0.291960	+	0.905830i
$964$	12.1606	−	21.0627i	0.391666	−	0.678385i
$965$	10.1512	−	3.69472i	0.326777	−	0.118937i
$966$	−2.37702	+	2.29004i	−0.0764793	+	0.0736809i
$967$	−44.1105	+	37.0131i	−1.41850	+	1.19026i	−0.466359	+	0.884595i	$0.654435\pi$
$967$	−44.1105	+	37.0131i	−1.41850	+	1.19026i	−0.952139	+	0.305666i	$0.901121\pi$
$968$	−2.47085	−	0.899315i	−0.0794160	−	0.0289051i
$969$	−15.2317	−	11.0940i	−0.489313	−	0.356390i
$970$	0.959354	−	5.44076i	0.0308030	−	0.174692i
$971$	10.0747			0.323311			0.161656	−	0.986847i	$-0.448317\pi$
$971$	10.0747			0.323311			0.161656	+	0.986847i	$0.448317\pi$
$972$	14.6166	+	5.41792i	0.468829	+	0.173780i
$973$	−9.97197			−0.319687
$974$	−4.03979	+	22.9108i	−0.129443	+	0.734110i
$975$	8.41192	+	6.12680i	0.269397	+	0.196215i
$976$	1.91988	+	0.698781i	0.0614540	+	0.0223674i
$977$	−25.4556	+	21.3598i	−0.814397	+	0.683360i	−0.951653	−	0.307175i	$-0.900616\pi$
$977$	−25.4556	+	21.3598i	−0.814397	+	0.683360i	0.137256	+	0.990536i	$0.456172\pi$
$978$	10.7170	−	10.3248i	0.342691	−	0.330152i
$979$	−0.702841	+	0.255813i	−0.0224629	+	0.00817582i
$980$	3.33707	−	5.77997i	0.106599	−	0.184634i
$981$	−17.4344	−	54.0918i	−0.556639	−	1.72702i
$982$	−6.29778	−	10.9081i	−0.200970	−	0.348091i
$983$	12.9973	+	10.9060i	0.414548	+	0.347847i	0.826085	−	0.563546i	$-0.190563\pi$
$983$	12.9973	+	10.9060i	0.414548	+	0.347847i	−0.411536	+	0.911393i	$0.635008\pi$
$984$	−6.43859	−	9.56995i	−0.205255	−	0.305079i
$985$	0.850535	+	4.82362i	0.0271003	+	0.153693i
$986$	−8.10350	−	45.9572i	−0.258068	−	1.46358i
$987$	2.81827	−	0.193730i	0.0897064	−	0.00616649i
$988$	−9.95476	−	8.35304i	−0.316703	−	0.265746i
$989$	−12.8713	−	22.2938i	−0.409284	−	0.708901i
$990$	−8.59794	+	1.18767i	−0.273261	+	0.0377467i
$991$	−24.8172	+	42.9846i	−0.788344	+	1.36545i	0.138637	+	0.990343i	$0.455728\pi$
$991$	−24.8172	+	42.9846i	−0.788344	+	1.36545i	−0.926981	+	0.375108i	$0.877605\pi$
$992$	−1.36256	+	0.495931i	−0.0432613	+	0.0157458i
$993$	−15.4098	−	4.43838i	−0.489015	−	0.140848i
$994$	−5.55163	+	4.65837i	−0.176087	+	0.147755i
$995$	−24.1224	−	8.77984i	−0.764732	−	0.278340i
$996$	26.8752	−	11.9276i	0.851573	−	0.377941i
$997$	1.47239	−	8.35033i	0.0466310	−	0.264458i	−0.952575	−	0.304305i	$-0.901576\pi$
$997$	1.47239	−	8.35033i	0.0466310	−	0.264458i	0.999206	+	0.0398470i	$0.0126870\pi$
$998$	13.3026			0.421086
$999$	28.0359	−	5.85554i	0.887017	−	0.185261i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	270.2.k.b.241.2	yes	12
3.2	odd	2		810.2.k.b.721.2		12
27.11	odd	18		7290.2.a.l.1.4		6
27.13	even	9	inner	270.2.k.b.121.2	✓	12
27.14	odd	18		810.2.k.b.91.2		12
27.16	even	9		7290.2.a.k.1.4		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
270.2.k.b.121.2	✓	12	27.13	even	9	inner
270.2.k.b.241.2	yes	12	1.1	even	1	trivial
810.2.k.b.91.2		12	27.14	odd	18
810.2.k.b.721.2		12	3.2	odd	2
7290.2.a.k.1.4		6	27.16	even	9
7290.2.a.l.1.4		6	27.11	odd	18

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:	\( N \)	\(=\)	\( 270 = 2 \cdot 3^{3} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	270.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 + 0.984808i) q^{2} +(1.40006 + 1.01973i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.766044 - 0.642788i) q^{5} +(-1.24735 + 1.20171i) q^{6} +(-0.536421 + 0.195241i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.920313 + 2.85535i) q^{9} +(0.500000 + 0.866025i) q^{10} +(2.21632 + 1.85971i) q^{11} +(-0.966855 - 1.43708i) q^{12} +(1.04333 + 5.91700i) q^{13} +(-0.0991266 - 0.562175i) q^{14} +(1.72797 - 0.118782i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-2.51505 - 4.35619i) q^{17} +(-2.97178 + 0.410505i) q^{18} +(1.08143 - 1.87309i) q^{19} +(-0.939693 + 0.342020i) q^{20} +(-0.950112 - 0.273654i) q^{21} +(-2.21632 + 1.85971i) q^{22} +(-3.13696 - 1.14176i) q^{23} +(1.58314 - 0.702620i) q^{24} +(0.173648 - 0.984808i) q^{25} -6.00828 q^{26} +(-1.62319 + 4.93612i) q^{27} +0.570847 q^{28} +(1.61100 - 9.13645i) q^{29} +(-0.183082 + 1.72235i) q^{30} +(1.36256 + 0.495931i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(1.20657 + 4.86374i) q^{33} +(4.72674 - 1.72039i) q^{34} +(-0.285424 + 0.494368i) q^{35} +(0.111776 - 2.99792i) q^{36} +(-2.75597 - 4.77348i) q^{37} +(1.65684 + 1.39026i) q^{38} +(-4.57301 + 9.34803i) q^{39} +(-0.173648 - 0.984808i) q^{40} +(-1.15638 - 6.55814i) q^{41} +(0.434482 - 0.888159i) q^{42} +(5.90723 + 4.95676i) q^{43} +(-1.44660 - 2.50558i) q^{44} +(2.54038 + 1.59576i) q^{45} +(1.66914 - 2.89104i) q^{46} +(-2.68479 + 0.977185i) q^{47} +(0.417037 + 1.68109i) q^{48} +(-5.11268 + 4.29005i) q^{49} +(0.939693 + 0.342020i) q^{50} +(0.920918 - 8.66357i) q^{51} +(1.04333 - 5.91700i) q^{52} -0.0936933 q^{53} +(-4.57926 - 2.45568i) q^{54} +2.89320 q^{55} +(-0.0991266 + 0.562175i) q^{56} +(3.42409 - 1.51966i) q^{57} +(8.71790 + 3.17306i) q^{58} +(8.20988 - 6.88890i) q^{59} +(-1.66439 - 0.479383i) q^{60} +(1.91988 - 0.698781i) q^{61} +(-0.725002 + 1.25574i) q^{62} +(-1.05116 - 1.35199i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(4.60261 + 3.86205i) q^{65} +(-4.99936 + 0.343661i) q^{66} +(-0.0627196 - 0.355700i) q^{67} +(0.873467 + 4.95368i) q^{68} +(-3.22764 - 4.79737i) q^{69} +(-0.437295 - 0.366934i) q^{70} +(-6.34771 - 10.9945i) q^{71} +(2.93296 + 0.630660i) q^{72} +(6.47764 - 11.2196i) q^{73} +(5.17953 - 1.88519i) q^{74} +(1.24735 - 1.20171i) q^{75} +(-1.65684 + 1.39026i) q^{76} +(-1.55197 - 0.564871i) q^{77} +(-8.41192 - 6.12680i) q^{78} +(0.0222603 - 0.126245i) q^{79} +1.00000 q^{80} +(-7.30605 + 5.25563i) q^{81} +6.65931 q^{82} +(-2.94783 + 16.7180i) q^{83} +(0.799218 + 0.582109i) q^{84} +(-4.72674 - 1.72039i) q^{85} +(-5.90723 + 4.95676i) q^{86} +(11.5722 - 11.1488i) q^{87} +(2.71871 - 0.989531i) q^{88} +(-0.129260 + 0.223884i) q^{89} +(-2.01265 + 2.22469i) q^{90} +(-1.71490 - 2.97030i) q^{91} +(2.55727 + 2.14581i) q^{92} +(1.40194 + 2.08377i) q^{93} +(-0.496130 - 2.81369i) q^{94} +(-0.375576 - 2.12999i) q^{95} +(-1.72797 + 0.118782i) q^{96} +(-4.23216 - 3.55121i) q^{97} +(-3.33707 - 5.77997i) q^{98} +(-3.27042 + 8.03987i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 3 q^{3} + 3 q^{6} - 12 q^{7} + 6 q^{8} - 3 q^{9} + 6 q^{10} + 3 q^{11} + 9 q^{12} + 9 q^{13} - 6 q^{14} - 9 q^{17} - 6 q^{18} - 3 q^{19} - 6 q^{21} - 3 q^{22} - 24 q^{23} - 3 q^{24} + 12 q^{26} - 9 q^{27}+ \cdots + 45 q^{99}+O(q^{100}) \) 12 * q + 3 * q^3 + 3 * q^6 - 12 * q^7 + 6 * q^8 - 3 * q^9 + 6 * q^10 + 3 * q^11 + 9 * q^12 + 9 * q^13 - 6 * q^14 - 9 * q^17 - 6 * q^18 - 3 * q^19 - 6 * q^21 - 3 * q^22 - 24 * q^23 - 3 * q^24 + 12 * q^26 - 9 * q^27 - 6 * q^28 + 6 * q^29 + 6 * q^30 + 21 * q^31 - 9 * q^33 + 18 * q^34 + 3 * q^35 - 3 * q^36 - 18 * q^38 - 24 * q^41 - 27 * q^42 + 33 * q^43 + 3 * q^44 + 15 * q^45 + 15 * q^46 - 18 * q^47 + 6 * q^48 - 30 * q^49 + 9 * q^51 + 9 * q^52 + 24 * q^53 - 18 * q^54 - 6 * q^55 - 6 * q^56 + 15 * q^57 + 39 * q^58 + 36 * q^59 - 3 * q^60 - 24 * q^61 - 60 * q^63 - 6 * q^64 - 9 * q^66 + 9 * q^67 + 9 * q^68 + 18 * q^69 - 6 * q^70 - 18 * q^71 + 12 * q^72 + 12 * q^73 - 12 * q^74 - 3 * q^75 + 18 * q^76 + 24 * q^77 - 24 * q^78 + 27 * q^79 + 12 * q^80 - 63 * q^81 + 6 * q^82 - 9 * q^83 - 3 * q^84 - 18 * q^85 - 33 * q^86 - 18 * q^87 - 3 * q^88 + 15 * q^89 - 15 * q^90 - 21 * q^91 + 3 * q^92 + 36 * q^93 - 54 * q^94 - 18 * q^95 + 36 * q^97 + 3 * q^98 + 45 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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