LMFDB - Embedded newform 182.2.o.a.23.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [182,2,Mod(23,182)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(182, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([2, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("182.23"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 182 = 2 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	182.o (of order $6$, degree $2$, 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:	$1.45327731679$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$10$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} + \cdots)$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} + 46 x^{18} + 895 x^{16} + 9634 x^{14} + 62977 x^{12} + 257850 x^{10} + 656102 x^{8} + \cdots + 32041 $ x^20 + 46x^18 + 895x^16 + 9634x^14 + 62977x^12 + 257850x^10 + 656102x^8 + 989866x^6 + 795896x^4 + 273668*x^2 + 32041
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			23.5
Root			$-2.49593i$ of defining polynomial
Character	$\chi$	$=$	182.23
Dual form			182.2.o.a.95.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q-1.00000i q^{2} +(1.24796 - 2.16154i) q^{3} -1.00000 q^{4} +(-2.41344 - 1.39340i) q^{5} +(-2.16154 - 1.24796i) q^{6} +(2.31897 + 1.27373i) q^{7} +1.00000i q^{8} +(-1.61483 - 2.79697i) q^{9} +(-1.39340 + 2.41344i) q^{10} +(-3.26564 - 1.88542i) q^{11} +(-1.24796 + 2.16154i) q^{12} +(3.40109 + 1.19690i) q^{13} +(1.27373 - 2.31897i) q^{14} +(-6.02377 + 3.47782i) q^{15} +1.00000 q^{16} +5.01324 q^{17} +(-2.79697 + 1.61483i) q^{18} +(-2.68042 + 1.54754i) q^{19} +(2.41344 + 1.39340i) q^{20} +(5.64721 - 3.42297i) q^{21} +(-1.88542 + 3.26564i) q^{22} -0.0974260 q^{23} +(2.16154 + 1.24796i) q^{24} +(1.38312 + 2.39563i) q^{25} +(1.19690 - 3.40109i) q^{26} -0.573226 q^{27} +(-2.31897 - 1.27373i) q^{28} +(-1.34957 - 2.33752i) q^{29} +(3.47782 + 6.02377i) q^{30} +(7.13641 - 4.12021i) q^{31} -1.00000i q^{32} +(-8.15081 + 4.70587i) q^{33} -5.01324i q^{34} +(-3.82187 - 6.30531i) q^{35} +(1.61483 + 2.79697i) q^{36} +0.489645i q^{37} +(1.54754 + 2.68042i) q^{38} +(6.83158 - 5.85791i) q^{39} +(1.39340 - 2.41344i) q^{40} +(-8.29797 + 4.79084i) q^{41} +(-3.42297 - 5.64721i) q^{42} +(0.642640 - 1.11309i) q^{43} +(3.26564 + 1.88542i) q^{44} +9.00042i q^{45} +0.0974260i q^{46} +(8.54023 + 4.93071i) q^{47} +(1.24796 - 2.16154i) q^{48} +(3.75523 + 5.90748i) q^{49} +(2.39563 - 1.38312i) q^{50} +(6.25635 - 10.8363i) q^{51} +(-3.40109 - 1.19690i) q^{52} +(5.13873 + 8.90055i) q^{53} +0.573226i q^{54} +(5.25428 + 9.10068i) q^{55} +(-1.27373 + 2.31897i) q^{56} +7.72510i q^{57} +(-2.33752 + 1.34957i) q^{58} +5.43846i q^{59} +(6.02377 - 3.47782i) q^{60} +(1.31592 + 2.27924i) q^{61} +(-4.12021 - 7.13641i) q^{62} +(-0.182159 - 8.54295i) q^{63} -1.00000 q^{64} +(-6.54057 - 7.62771i) q^{65} +(4.70587 + 8.15081i) q^{66} +(-7.32268 - 4.22775i) q^{67} -5.01324 q^{68} +(-0.121584 + 0.210590i) q^{69} +(-6.30531 + 3.82187i) q^{70} +(-5.07078 - 2.92762i) q^{71} +(2.79697 - 1.61483i) q^{72} +(-13.2698 + 7.66130i) q^{73} +0.489645 q^{74} +6.90434 q^{75} +(2.68042 - 1.54754i) q^{76} +(-5.17141 - 8.53177i) q^{77} +(-5.85791 - 6.83158i) q^{78} +(-5.55444 + 9.62057i) q^{79} +(-2.41344 - 1.39340i) q^{80} +(4.12913 - 7.15186i) q^{81} +(4.79084 + 8.29797i) q^{82} -16.0283i q^{83} +(-5.64721 + 3.42297i) q^{84} +(-12.0992 - 6.98545i) q^{85} +(-1.11309 - 0.642640i) q^{86} -6.73686 q^{87} +(1.88542 - 3.26564i) q^{88} +14.3277i q^{89} +9.00042 q^{90} +(6.36251 + 7.10764i) q^{91} +0.0974260 q^{92} -20.5675i q^{93} +(4.93071 - 8.54023i) q^{94} +8.62535 q^{95} +(-2.16154 - 1.24796i) q^{96} +(5.50865 + 3.18042i) q^{97} +(5.90748 - 3.75523i) q^{98} +12.1785i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + 2 q^{3} - 20 q^{4} + 2 q^{7} - 16 q^{9} - 4 q^{10} - 6 q^{11} - 2 q^{12} + 6 q^{13} - 4 q^{14} - 12 q^{15} + 20 q^{16} + 20 q^{17} + 24 q^{18} - 24 q^{19} - 14 q^{21} + 2 q^{22} + 18 q^{25} + 6 q^{26}+ \cdots + 24 q^{98}+O(q^{100}) $ 20 * q + 2 * q^3 - 20 * q^4 + 2 * q^7 - 16 * q^9 - 4 * q^10 - 6 * q^11 - 2 * q^12 + 6 * q^13 - 4 * q^14 - 12 * q^15 + 20 * q^16 + 20 * q^17 + 24 * q^18 - 24 * q^19 - 14 * q^21 + 2 * q^22 + 18 * q^25 + 6 * q^26 - 28 * q^27 - 2 * q^28 + 2 * q^29 - 2 * q^30 - 6 * q^31 + 12 * q^33 + 16 * q^36 - 14 * q^38 + 22 * q^39 + 4 * q^40 + 18 * q^41 - 10 * q^42 + 8 * q^43 + 6 * q^44 + 18 * q^47 + 2 * q^48 - 6 * q^49 - 12 * q^50 - 22 * q^51 - 6 * q^52 - 4 * q^53 + 2 * q^55 + 4 * q^56 - 24 * q^58 + 12 * q^60 - 4 * q^61 - 24 * q^62 + 50 * q^63 - 20 * q^64 - 6 * q^65 + 32 * q^66 - 60 * q^67 - 20 * q^68 - 34 * q^69 - 48 * q^70 - 18 * q^71 - 24 * q^72 - 72 * q^73 - 24 * q^74 + 36 * q^75 + 24 * q^76 + 42 * q^77 + 20 * q^78 + 42 * q^79 - 2 * q^81 - 16 * q^82 + 14 * q^84 - 12 * q^85 + 42 * q^86 + 128 * q^87 - 2 * q^88 + 52 * q^90 + 14 * q^91 + 16 * q^94 + 24 * q^95 + 78 * q^97 + 24 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/182\mathbb{Z}\right)^\times$.

$n$	$15$	$157$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$		−	1.00000i		−	0.707107i
$2$		−	1.00000i		−	0.707107i
$3$	1.24796	−	2.16154i	0.720513	−	1.24796i	−0.240282	−	0.970703i	$-0.577240\pi$
$3$	1.24796	−	2.16154i	0.720513	−	1.24796i	0.960794	−	0.277262i	$-0.0894269\pi$
$4$	−1.00000			−0.500000
$5$	−2.41344	−	1.39340i	−1.07932	−	0.623147i	−0.148608	−	0.988896i	$-0.547479\pi$
$5$	−2.41344	−	1.39340i	−1.07932	−	0.623147i	−0.930713	+	0.365749i	$0.880813\pi$
$6$	−2.16154	−	1.24796i	−0.882444	−	0.509479i
$7$	2.31897	+	1.27373i	0.876488	+	0.481424i
$7$	2.31897	+	1.27373i	0.876488	+	0.481424i
$8$			1.00000i			0.353553i
$9$	−1.61483	−	2.79697i	−0.538277	−	0.932324i
$10$	−1.39340	+	2.41344i	−0.440631	+	0.763196i
$11$	−3.26564	−	1.88542i	−0.984628	−	0.568475i	−0.0809639	−	0.996717i	$-0.525800\pi$
$11$	−3.26564	−	1.88542i	−0.984628	−	0.568475i	−0.903664	+	0.428242i	$0.859133\pi$
$12$	−1.24796	+	2.16154i	−0.360256	+	0.623982i
$13$	3.40109	+	1.19690i	0.943294	+	0.331959i
$13$	3.40109	+	1.19690i	0.943294	+	0.331959i
$14$	1.27373	−	2.31897i	0.340419	−	0.619770i
$15$	−6.02377	+	3.47782i	−1.55533	+	0.897970i
$16$	1.00000			0.250000
$17$	5.01324			1.21589			0.607945	−	0.793979i	$-0.291994\pi$
$17$	5.01324			1.21589			0.607945	+	0.793979i	$0.291994\pi$
$18$	−2.79697	+	1.61483i	−0.659252	+	0.380620i
$19$	−2.68042	+	1.54754i	−0.614930	+	0.355030i	−0.774892	−	0.632093i	$-0.782196\pi$
$19$	−2.68042	+	1.54754i	−0.614930	+	0.355030i	0.159963	+	0.987123i	$0.448863\pi$
$20$	2.41344	+	1.39340i	0.539661	+	0.311573i
$21$	5.64721	−	3.42297i	1.23232	−	0.746953i
$22$	−1.88542	+	3.26564i	−0.401973	+	0.696237i
$23$	−0.0974260			−0.0203147			−0.0101574	−	0.999948i	$-0.503233\pi$
$23$	−0.0974260			−0.0203147			−0.0101574	+	0.999948i	$0.503233\pi$
$24$	2.16154	+	1.24796i	0.441222	+	0.254740i
$25$	1.38312	+	2.39563i	0.276624	+	0.479127i
$26$	1.19690	−	3.40109i	0.234731	−	0.667009i
$27$	−0.573226			−0.110317
$28$	−2.31897	−	1.27373i	−0.438244	−	0.240712i
$29$	−1.34957	−	2.33752i	−0.250609	−	0.434067i	0.713085	−	0.701078i	$-0.247297\pi$
$29$	−1.34957	−	2.33752i	−0.250609	−	0.434067i	−0.963694	+	0.267011i	$0.913964\pi$
$30$	3.47782	+	6.02377i	0.634961	+	1.09978i
$31$	7.13641	−	4.12021i	1.28174	−	0.740011i	0.304571	−	0.952490i	$-0.401487\pi$
$31$	7.13641	−	4.12021i	1.28174	−	0.740011i	0.977166	+	0.212478i	$0.0681535\pi$
$32$		−	1.00000i		−	0.176777i
$33$	−8.15081	+	4.70587i	−1.41887	+	0.819188i
$34$		−	5.01324i		−	0.859764i
$35$	−3.82187	−	6.30531i	−0.646014	−	1.06579i
$36$	1.61483	+	2.79697i	0.269139	+	0.466162i
$37$			0.489645i			0.0804972i	0.999190	+	0.0402486i	$0.0128150\pi$
$37$			0.489645i			0.0804972i	−0.999190	+	0.0402486i	$0.987185\pi$
$38$	1.54754	+	2.68042i	0.251044	+	0.434821i
$39$	6.83158	−	5.85791i	1.09393	−	0.938017i
$40$	1.39340	−	2.41344i	0.220316	−	0.381598i
$41$	−8.29797	+	4.79084i	−1.29593	+	0.748203i	−0.979698	−	0.200481i	$-0.935750\pi$
$41$	−8.29797	+	4.79084i	−1.29593	+	0.748203i	−0.316228	+	0.948683i	$0.602416\pi$
$42$	−3.42297	−	5.64721i	−0.528176	−	0.871383i
$43$	0.642640	−	1.11309i	0.0980017	−	0.169744i	−0.812856	−	0.582465i	$-0.802088\pi$
$43$	0.642640	−	1.11309i	0.0980017	−	0.169744i	0.910857	+	0.412721i	$0.135422\pi$
$44$	3.26564	+	1.88542i	0.492314	+	0.284238i
$45$			9.00042i			1.34170i
$46$			0.0974260i			0.0143647i
$47$	8.54023	+	4.93071i	1.24572	+	0.719217i	0.970253	−	0.242093i	$-0.0778339\pi$
$47$	8.54023	+	4.93071i	1.24572	+	0.719217i	0.275468	+	0.961310i	$0.411167\pi$
$48$	1.24796	−	2.16154i	0.180128	−	0.311991i
$49$	3.75523	+	5.90748i	0.536461	+	0.843925i
$50$	2.39563	−	1.38312i	0.338794	−	0.195603i
$51$	6.25635	−	10.8363i	0.876065	−	1.51739i
$52$	−3.40109	−	1.19690i	−0.471647	−	0.165980i
$53$	5.13873	+	8.90055i	0.705859	+	1.22258i	0.966380	+	0.257116i	$0.0827723\pi$
$53$	5.13873	+	8.90055i	0.705859	+	1.22258i	−0.260521	+	0.965468i	$0.583894\pi$
$54$			0.573226i			0.0780061i
$55$	5.25428	+	9.10068i	0.708487	+	1.22714i
$56$	−1.27373	+	2.31897i	−0.170209	+	0.309885i
$57$			7.72510i			1.02321i
$58$	−2.33752	+	1.34957i	−0.306932	+	0.177207i
$59$			5.43846i			0.708027i	0.935240	+	0.354014i	$0.115183\pi$
$59$			5.43846i			0.708027i	−0.935240	+	0.354014i	$0.884817\pi$
$60$	6.02377	−	3.47782i	0.777665	−	0.448985i
$61$	1.31592	+	2.27924i	0.168486	+	0.291826i	0.937888	−	0.346939i	$-0.112779\pi$
$61$	1.31592	+	2.27924i	0.168486	+	0.291826i	−0.769402	+	0.638765i	$0.779446\pi$
$62$	−4.12021	−	7.13641i	−0.523267	−	0.906325i
$63$	−0.182159	−	8.54295i	−0.0229499	−	1.07631i
$64$	−1.00000			−0.125000
$65$	−6.54057	−	7.62771i	−0.811258	−	0.946101i
$66$	4.70587	+	8.15081i	0.579253	+	1.00330i
$67$	−7.32268	−	4.22775i	−0.894608	−	0.516502i	−0.0191607	−	0.999816i	$-0.506099\pi$
$67$	−7.32268	−	4.22775i	−0.894608	−	0.516502i	−0.875447	+	0.483315i	$0.839433\pi$
$68$	−5.01324			−0.607945
$69$	−0.121584	+	0.210590i	−0.0146370	+	0.0253521i
$70$	−6.30531	+	3.82187i	−0.753629	+	0.456801i
$71$	−5.07078	−	2.92762i	−0.601791	−	0.347444i	0.167955	−	0.985795i	$-0.446284\pi$
$71$	−5.07078	−	2.92762i	−0.601791	−	0.347444i	−0.769746	+	0.638350i	$0.779617\pi$
$72$	2.79697	−	1.61483i	0.329626	−	0.190310i
$73$	−13.2698	+	7.66130i	−1.55311	+	0.896688i	−0.555223	+	0.831702i	$0.687367\pi$
$73$	−13.2698	+	7.66130i	−1.55311	+	0.896688i	−0.997886	+	0.0649863i	$0.979300\pi$
$74$	0.489645			0.0569201
$75$	6.90434			0.797244
$76$	2.68042	−	1.54754i	0.307465	−	0.177515i
$77$	−5.17141	−	8.53177i	−0.589336	−	0.972286i
$78$	−5.85791	−	6.83158i	−0.663278	−	0.773524i
$79$	−5.55444	+	9.62057i	−0.624923	+	1.08240i	0.363632	+	0.931543i	$0.381536\pi$
$79$	−5.55444	+	9.62057i	−0.624923	+	1.08240i	−0.988556	+	0.150856i	$0.951797\pi$
$80$	−2.41344	−	1.39340i	−0.269830	−	0.155787i
$81$	4.12913	−	7.15186i	0.458792	−	0.794652i
$82$	4.79084	+	8.29797i	0.529059	+	0.916358i
$83$		−	16.0283i		−	1.75933i	−0.475594	−	0.879665i	$-0.657767\pi$
$83$		−	16.0283i		−	1.75933i	0.475594	−	0.879665i	$-0.342233\pi$
$84$	−5.64721	+	3.42297i	−0.616161	+	0.373477i
$85$	−12.0992	−	6.98545i	−1.31234	−	0.757678i
$86$	−1.11309	−	0.642640i	−0.120027	−	0.0692977i
$87$	−6.73686			−0.722267
$88$	1.88542	−	3.26564i	0.200986	−	0.348119i
$89$			14.3277i			1.51874i	0.650660	+	0.759369i	$0.274492\pi$
$89$			14.3277i			1.51874i	−0.650660	+	0.759369i	$0.725508\pi$
$90$	9.00042			0.948727
$91$	6.36251	+	7.10764i	0.666972	+	0.745083i
$92$	0.0974260			0.0101574
$93$		−	20.5675i		−	2.13275i
$94$	4.93071	−	8.54023i	0.508563	−	0.880858i
$95$	8.62535			0.884943
$96$	−2.16154	−	1.24796i	−0.220611	−	0.127370i
$97$	5.50865	+	3.18042i	0.559318	+	0.322923i	0.752872	−	0.658167i	$-0.228668\pi$
$97$	5.50865	+	3.18042i	0.559318	+	0.322923i	−0.193554	+	0.981090i	$0.562001\pi$
$98$	5.90748	−	3.75523i	0.596745	−	0.379335i
$99$			12.1785i			1.22399i
$100$	−1.38312	−	2.39563i	−0.138312	−	0.239563i
$101$	4.82460	−	8.35645i	0.480065	−	0.831497i	−0.519673	−	0.854365i	$-0.673946\pi$
$101$	4.82460	−	8.35645i	0.480065	−	0.831497i	0.999739	+	0.0228677i	$0.00727965\pi$
$102$	−10.8363	−	6.25635i	−1.07296	−	0.619471i
$103$	3.87462	−	6.71105i	0.381778	−	0.661259i	−0.609538	−	0.792756i	$-0.708645\pi$
$103$	3.87462	−	6.71105i	0.381778	−	0.661259i	0.991316	+	0.131498i	$0.0419785\pi$
$104$	−1.19690	+	3.40109i	−0.117365	+	0.333505i
$105$	−18.3987	+	0.392312i	−1.79553	+	0.0382858i
$106$	8.90055	−	5.13873i	0.864498	−	0.499118i
$107$	−17.2469			−1.66732			−0.833658	−	0.552280i	$-0.813758\pi$
$107$	−17.2469			−1.66732			−0.833658	+	0.552280i	$0.813758\pi$
$108$	0.573226			0.0551587
$109$	−15.0294	+	8.67725i	−1.43956	+	0.831129i	−0.997819	−	0.0660139i	$-0.978972\pi$
$109$	−15.0294	+	8.67725i	−1.43956	+	0.831129i	−0.441740	+	0.897143i	$0.645638\pi$
$110$	9.10068	−	5.25428i	0.867716	−	0.500976i
$111$	1.05839	+	0.611060i	0.100458	+	0.0579992i
$112$	2.31897	+	1.27373i	0.219122	+	0.120356i
$113$	−1.23746	+	2.14334i	−0.116410	+	0.201628i	−0.918343	−	0.395787i	$-0.870472\pi$
$113$	−1.23746	+	2.14334i	−0.116410	+	0.201628i	0.801932	+	0.597415i	$0.203805\pi$
$114$	7.72510			0.723522
$115$	0.235131	+	0.135753i	0.0219261	+	0.0126591i
$116$	1.34957	+	2.33752i	0.125304	+	0.217034i
$117$	−2.14451	−	11.4455i	−0.198260	−	1.05814i
$118$	5.43846			0.500651
$119$	11.6256	+	6.38552i	1.06571	+	0.585359i
$120$	−3.47782	−	6.02377i	−0.317481	−	0.549892i
$121$	1.60961	+	2.78793i	0.146328	+	0.253448i
$122$	2.27924	−	1.31592i	0.206352	−	0.119138i
$123$			23.9152i			2.15636i
$124$	−7.13641	+	4.12021i	−0.640869	+	0.370006i
$125$			6.22504i			0.556785i
$126$	−8.54295	+	0.182159i	−0.761066	+	0.0162280i
$127$	−3.06965	−	5.31678i	−0.272387	−	0.471788i	0.697086	−	0.716988i	$-0.254480\pi$
$127$	−3.06965	−	5.31678i	−0.272387	−	0.471788i	−0.969473	+	0.245200i	$0.921146\pi$
$128$			1.00000i			0.0883883i
$129$	−1.60399	−	2.77818i	−0.141223	−	0.244605i
$130$	−7.62771	+	6.54057i	−0.668995	+	0.573646i
$131$	4.40654	−	7.63235i	0.385001	−	0.666842i	−0.606768	−	0.794879i	$-0.707534\pi$
$131$	4.40654	−	7.63235i	0.385001	−	0.666842i	0.991769	+	0.128037i	$0.0408677\pi$
$132$	8.15081	−	4.70587i	0.709437	−	0.409594i
$133$	−8.18695	+	0.174568i	−0.709898	+	0.0151370i
$134$	−4.22775	+	7.32268i	−0.365222	+	0.632583i
$135$	1.38344	+	0.798732i	0.119068	+	0.0687439i
$136$			5.01324i			0.429882i
$137$			5.16470i			0.441250i	0.975359	+	0.220625i	$0.0708097\pi$
$137$			5.16470i			0.441250i	−0.975359	+	0.220625i	$0.929190\pi$
$138$	0.210590	+	0.121584i	0.0179266	+	0.0103499i
$139$	−3.44149	+	5.96083i	−0.291903	+	0.505591i	−0.974260	−	0.225428i	$-0.927622\pi$
$139$	−3.44149	+	5.96083i	−0.291903	+	0.505591i	0.682357	+	0.731020i	$0.260955\pi$
$140$	3.82187	+	6.30531i	0.323007	+	0.532896i
$141$	21.3158	−	12.3067i	1.79512	−	1.03641i
$142$	−2.92762	+	5.07078i	−0.245680	+	0.425531i
$143$	−8.85011	−	10.3211i	−0.740083	−	0.863096i
$144$	−1.61483	−	2.79697i	−0.134569	−	0.233081i
$145$			7.52195i			0.624664i
$146$	7.66130	+	13.2698i	0.634054	+	1.09821i
$147$	17.4556	−	0.744744i	1.43972	−	0.0614254i
$148$		−	0.489645i		−	0.0402486i
$149$	8.20500	−	4.73716i	0.672180	−	0.388083i	−0.124722	−	0.992192i	$-0.539804\pi$
$149$	8.20500	−	4.73716i	0.672180	−	0.388083i	0.796902	+	0.604109i	$0.206471\pi$
$150$		−	6.90434i		−	0.563737i
$151$	11.1374	−	6.43017i	0.906348	−	0.523280i	0.0270936	−	0.999633i	$-0.491375\pi$
$151$	11.1374	−	6.43017i	0.906348	−	0.523280i	0.879254	+	0.476353i	$0.158041\pi$
$152$	−1.54754	−	2.68042i	−0.125522	−	0.217410i
$153$	−8.09555	−	14.0219i	−0.654486	−	1.13360i
$154$	−8.53177	+	5.17141i	−0.687510	+	0.416724i
$155$	−22.9644			−1.84454
$156$	−6.83158	+	5.85791i	−0.546964	+	0.469008i
$157$	1.00245	+	1.73629i	0.0800039	+	0.138571i	0.903251	−	0.429112i	$-0.141173\pi$
$157$	1.00245	+	1.73629i	0.0800039	+	0.138571i	−0.823247	+	0.567683i	$0.807840\pi$
$158$	9.62057	+	5.55444i	0.765372	+	0.441888i
$159$	25.6518			2.03432
$160$	−1.39340	+	2.41344i	−0.110158	+	0.190799i
$161$	−0.225928	−	0.124094i	−0.0178056	−	0.00978000i
$162$	−7.15186	−	4.12913i	−0.561904	−	0.324415i
$163$	8.88376	−	5.12904i	0.695830	−	0.401738i	−0.109962	−	0.993936i	$-0.535073\pi$
$163$	8.88376	−	5.12904i	0.695830	−	0.401738i	0.805792	+	0.592198i	$0.201740\pi$
$164$	8.29797	−	4.79084i	0.647963	−	0.374101i
$165$	26.2286			2.04190
$166$	−16.0283			−1.24403
$167$	−2.85452	+	1.64806i	−0.220889	+	0.127530i	−0.606362	−	0.795189i	$-0.707372\pi$
$167$	−2.85452	+	1.64806i	−0.220889	+	0.127530i	0.385473	+	0.922719i	$0.374038\pi$
$168$	3.42297	+	5.64721i	0.264088	+	0.435691i
$169$	10.1349	+	8.14151i	0.779606	+	0.626270i
$170$	−6.98545	+	12.0992i	−0.535759	+	0.927962i
$171$	8.65684	+	4.99803i	0.662005	+	0.382209i
$172$	−0.642640	+	1.11309i	−0.0490009	+	0.0848720i
$173$	2.72291	+	4.71621i	0.207019	+	0.358567i	0.950774	−	0.309885i	$-0.100291\pi$
$173$	2.72291	+	4.71621i	0.207019	+	0.358567i	−0.743755	+	0.668452i	$0.766957\pi$
$174$			6.73686i			0.510720i
$175$	0.156021	+	7.31712i	0.0117941	+	0.553122i
$176$	−3.26564	−	1.88542i	−0.246157	−	0.142119i
$177$	11.7554	+	6.78701i	0.883593	+	0.510143i
$178$	14.3277			1.07391
$179$	3.00769	−	5.20948i	0.224806	−	0.389375i	−0.731456	−	0.681889i	$-0.761159\pi$
$179$	3.00769	−	5.20948i	0.224806	−	0.389375i	0.956261	+	0.292514i	$0.0944920\pi$
$180$		−	9.00042i		−	0.670852i
$181$	−14.2195			−1.05692			−0.528462	−	0.848957i	$-0.677231\pi$
$181$	−14.2195			−1.05692			−0.528462	+	0.848957i	$0.677231\pi$
$182$	7.10764	−	6.36251i	0.526853	−	0.471620i
$183$	6.56888			0.485585
$184$		−	0.0974260i		−	0.00718234i
$185$	0.682271	−	1.18173i	0.0501616	−	0.0868824i
$186$	−20.5675			−1.50808
$187$	−16.3715	−	9.45207i	−1.19720	−	0.691204i
$188$	−8.54023	−	4.93071i	−0.622860	−	0.359609i
$189$	−1.32929	−	0.730135i	−0.0966918	−	0.0531095i
$190$		−	8.62535i		−	0.625749i
$191$	−5.89482	−	10.2101i	−0.426534	−	0.738778i	0.570028	−	0.821625i	$-0.306932\pi$
$191$	−5.89482	−	10.2101i	−0.426534	−	0.738778i	−0.996562	+	0.0828466i	$0.973599\pi$
$192$	−1.24796	+	2.16154i	−0.0900641	+	0.155996i
$193$	−4.19609	−	2.42261i	−0.302041	−	0.174384i	0.341318	−	0.939948i	$-0.389127\pi$
$193$	−4.19609	−	2.42261i	−0.302041	−	0.174384i	−0.643359	+	0.765564i	$0.722460\pi$
$194$	3.18042	−	5.50865i	0.228341	−	0.395498i
$195$	−24.6500	+	4.61858i	−1.76522	+	0.330744i
$196$	−3.75523	−	5.90748i	−0.268230	−	0.421963i
$197$	5.26154	−	3.03775i	0.374869	−	0.216431i	−0.300714	−	0.953714i	$-0.597225\pi$
$197$	5.26154	−	3.03775i	0.374869	−	0.216431i	0.675584	+	0.737283i	$0.263892\pi$
$198$	12.1785			0.865491
$199$	5.65478			0.400856			0.200428	−	0.979708i	$-0.435767\pi$
$199$	5.65478			0.400856			0.200428	+	0.979708i	$0.435767\pi$
$200$	−2.39563	+	1.38312i	−0.169397	+	0.0978013i
$201$	−18.2769	+	10.5522i	−1.28915	+	0.744292i
$202$	−8.35645	−	4.82460i	−0.587957	−	0.339457i
$203$	−0.152237	−	7.13963i	−0.0106849	−	0.501104i
$204$	−6.25635	+	10.8363i	−0.438032	+	0.758694i
$205$	26.7022			1.86496
$206$	−6.71105	−	3.87462i	−0.467581	−	0.269958i
$207$	0.157327	+	0.272498i	0.0109350	+	0.0189399i
$208$	3.40109	+	1.19690i	0.235823	+	0.0829898i
$209$	11.6710			0.807303
$210$	0.392312	+	18.3987i	0.0270721	+	1.26963i
$211$	6.03845	+	10.4589i	0.415704	+	0.720020i	0.995502	−	0.0947401i	$-0.0302020\pi$
$211$	6.03845	+	10.4589i	0.415704	+	0.720020i	−0.579798	+	0.814760i	$0.696869\pi$
$212$	−5.13873	−	8.90055i	−0.352930	−	0.611292i
$213$	−12.6563	+	7.30713i	−0.867197	+	0.500676i
$214$			17.2469i			1.17897i
$215$	−3.10194	+	1.79091i	−0.211551	+	0.122139i
$216$		−	0.573226i		−	0.0390031i
$217$	21.7971	−	0.464776i	1.47969	−	0.0315510i
$218$	8.67725	+	15.0294i	0.587697	+	1.01792i
$219$			38.2442i			2.58430i
$220$	−5.25428	−	9.10068i	−0.354244	−	0.613568i
$221$	17.0505	+	6.00033i	1.14694	+	0.403626i
$222$	0.611060	−	1.05839i	0.0410117	−	0.0710343i
$223$	18.6878	−	10.7894i	1.25143	−	0.722514i	0.280037	−	0.959989i	$-0.409653\pi$
$223$	18.6878	−	10.7894i	1.25143	−	0.722514i	0.971394	+	0.237475i	$0.0763198\pi$
$224$	1.27373	−	2.31897i	0.0851046	−	0.154943i
$225$	4.46701	−	7.73709i	0.297801	−	0.515806i
$226$	2.14334	+	1.23746i	0.142573	+	0.0823143i
$227$		−	3.01636i		−	0.200203i	−0.994977	−	0.100101i	$-0.968083\pi$
$227$		−	3.01636i		−	0.200203i	0.994977	−	0.100101i	$-0.0319167\pi$
$228$		−	7.72510i		−	0.511607i
$229$	−10.9062	−	6.29670i	−0.720703	−	0.416098i	0.0943086	−	0.995543i	$-0.469936\pi$
$229$	−10.9062	−	6.29670i	−0.720703	−	0.416098i	−0.815011	+	0.579445i	$0.803269\pi$
$230$	0.135753	−	0.235131i	0.00895130	−	0.0155041i
$231$	−24.8955	+	0.530841i	−1.63800	+	0.0349268i
$232$	2.33752	−	1.34957i	0.153466	−	0.0886036i
$233$	−8.64761	+	14.9781i	−0.566524	+	0.981248i	0.430382	+	0.902647i	$0.358379\pi$
$233$	−8.64761	+	14.9781i	−0.566524	+	0.981248i	−0.996906	+	0.0786016i	$0.974955\pi$
$234$	−11.4455	+	2.14451i	−0.748219	+	0.140191i
$235$	−13.7409	−	23.7999i	−0.896356	−	1.55253i
$236$		−	5.43846i		−	0.354014i
$237$	13.8635	+	24.0123i	0.900530	+	1.55976i
$238$	6.38552	−	11.6256i	0.413912	−	0.753573i
$239$			15.6915i			1.01500i	0.861652	+	0.507500i	$0.169430\pi$
$239$			15.6915i			1.01500i	−0.861652	+	0.507500i	$0.830570\pi$
$240$	−6.02377	+	3.47782i	−0.388833	+	0.224493i
$241$		−	18.6920i		−	1.20406i	−0.798474	−	0.602029i	$-0.794359\pi$
$241$		−	18.6920i		−	1.20406i	0.798474	−	0.602029i	$-0.205641\pi$
$242$	2.78793	−	1.60961i	0.179215	−	0.103470i
$243$	−11.1659	−	19.3398i	−0.716290	−	1.24065i
$244$	−1.31592	−	2.27924i	−0.0842430	−	0.145913i
$245$	−0.831534	−	19.4898i	−0.0531247	−	1.24516i
$246$	23.9152			1.52478
$247$	−10.9686	+	2.05515i	−0.697915	+	0.130766i
$248$	4.12021	+	7.13641i	0.261633	+	0.453163i
$249$	−34.6457	−	20.0027i	−2.19558	−	1.26762i
$250$	6.22504			0.393706
$251$	−4.76111	+	8.24648i	−0.300518	+	0.520513i	−0.976253	−	0.216631i	$-0.930493\pi$
$251$	−4.76111	+	8.24648i	−0.300518	+	0.520513i	0.675735	+	0.737145i	$0.263826\pi$
$252$	0.182159	+	8.54295i	0.0114750	+	0.538155i
$253$	0.318158	+	0.183689i	0.0200024	+	0.0115484i
$254$	−5.31678	+	3.06965i	−0.333605	+	0.192607i
$255$	−30.1986	+	17.4352i	−1.89111	+	1.09183i
$256$	1.00000			0.0625000
$257$	3.01147			0.187851			0.0939253	−	0.995579i	$-0.470059\pi$
$257$	3.01147			0.187851			0.0939253	+	0.995579i	$0.470059\pi$
$258$	−2.77818	+	1.60399i	−0.172962	+	0.0998597i
$259$	−0.623675	+	1.13547i	−0.0387533	+	0.0705548i
$260$	6.54057	+	7.62771i	0.405629	+	0.473051i
$261$	−4.35866	+	7.54942i	−0.269794	+	0.467297i
$262$	−7.63235	−	4.40654i	−0.471528	−	0.272237i
$263$	−1.13508	+	1.96602i	−0.0699922	+	0.121230i	−0.898898	−	0.438159i	$-0.855631\pi$
$263$	−1.13508	+	1.96602i	−0.0699922	+	0.121230i	0.828905	+	0.559389i	$0.188964\pi$
$264$	−4.70587	−	8.15081i	−0.289627	−	0.501648i
$265$		−	28.6412i		−	1.75942i
$266$	0.174568	+	8.18695i	0.0107035	+	0.501974i
$267$	30.9700	+	17.8805i	1.89533	+	1.09427i
$268$	7.32268	+	4.22775i	0.447304	+	0.258251i
$269$	−2.93966			−0.179234			−0.0896172	−	0.995976i	$-0.528564\pi$
$269$	−2.93966			−0.179234			−0.0896172	+	0.995976i	$0.528564\pi$
$270$	0.798732	−	1.38344i	0.0486093	−	0.0841937i
$271$		−	15.8460i		−	0.962577i	−0.876562	−	0.481289i	$-0.840169\pi$
$271$		−	15.8460i		−	0.962577i	0.876562	−	0.481289i	$-0.159831\pi$
$272$	5.01324			0.303973
$273$	23.3036	−	4.88272i	1.41040	−	0.295516i
$274$	5.16470			0.312011
$275$		−	10.4310i		−	0.629015i
$276$	0.121584	−	0.210590i	0.00731851	−	0.0126760i
$277$	−22.2223			−1.33521			−0.667604	−	0.744517i	$-0.732680\pi$
$277$	−22.2223			−1.33521			−0.667604	+	0.744517i	$0.732680\pi$
$278$	5.96083	+	3.44149i	0.357507	+	0.206407i
$279$	−23.0482	−	13.3069i	−1.37986	−	0.796663i
$280$	6.30531	−	3.82187i	0.376815	−	0.228400i
$281$		−	9.18876i		−	0.548156i	−0.961708	−	0.274078i	$-0.911627\pi$
$281$		−	9.18876i		−	0.548156i	0.961708	−	0.274078i	$-0.0883726\pi$
$282$	−12.3067	−	21.3158i	−0.732853	−	1.26934i
$283$	8.52808	−	14.7711i	0.506942	−	0.878049i	−0.493026	−	0.870015i	$-0.664109\pi$
$283$	8.52808	−	14.7711i	0.506942	−	0.878049i	0.999968	−	0.00803458i	$-0.00255751\pi$
$284$	5.07078	+	2.92762i	0.300896	+	0.173722i
$285$	10.7641	−	18.6440i	0.637612	−	1.10438i
$286$	−10.3211	+	8.85011i	−0.610301	+	0.523318i
$287$	−25.3450	+	0.540425i	−1.49607	+	0.0319003i
$288$	−2.79697	+	1.61483i	−0.164813	+	0.0951549i
$289$	8.13262			0.478389
$290$	7.52195			0.441704
$291$	13.7492	−	7.93810i	0.805992	−	0.465340i
$292$	13.2698	−	7.66130i	0.776554	−	0.448344i
$293$	22.2433	+	12.8422i	1.29947	+	0.750248i	0.980312	−	0.197455i	$-0.0632675\pi$
$293$	22.2433	+	12.8422i	1.29947	+	0.750248i	0.319155	+	0.947702i	$0.396601\pi$
$294$	−0.744744	−	17.4556i	−0.0434343	−	1.01803i
$295$	7.57794	−	13.1254i	0.441205	−	0.764189i
$296$	−0.489645			−0.0284600
$297$	1.87195	+	1.08077i	0.108622	+	0.0627127i
$298$	−4.73716	−	8.20500i	−0.274416	−	0.475303i
$299$	−0.331355	−	0.116609i	−0.0191627	−	0.00674366i
$300$	−6.90434			−0.398622
$301$	2.90803	−	1.76266i	0.167616	−	0.101598i
$302$	−6.43017	−	11.1374i	−0.370015	−	0.640885i
$303$	−12.0419	−	20.8571i	−0.691786	−	1.19821i
$304$	−2.68042	+	1.54754i	−0.153732	+	0.0887574i
$305$		−	7.33439i		−	0.419966i
$306$	−14.0219	+	8.09555i	−0.801579	+	0.462792i
$307$		−	19.1987i		−	1.09573i	−0.836568	−	0.547863i	$-0.815442\pi$
$307$		−	19.1987i		−	1.09573i	0.836568	−	0.547863i	$-0.184558\pi$
$308$	5.17141	+	8.53177i	0.294668	+	0.486143i
$309$	−9.67079	−	16.7503i	−0.550152	−	0.952891i
$310$			22.9644i			1.30429i
$311$	3.34592	+	5.79531i	0.189730	+	0.328622i	0.945160	−	0.326607i	$-0.105905\pi$
$311$	3.34592	+	5.79531i	0.189730	+	0.328622i	−0.755430	+	0.655229i	$0.772572\pi$
$312$	5.85791	+	6.83158i	0.331639	+	0.386762i
$313$	4.31655	−	7.47648i	0.243986	−	0.422596i	−0.717860	−	0.696187i	$-0.754878\pi$
$313$	4.31655	−	7.47648i	0.243986	−	0.422596i	0.961846	+	0.273592i	$0.0882116\pi$
$314$	1.73629	−	1.00245i	0.0979844	−	0.0565713i
$315$	−11.4641	+	20.8717i	−0.645929	+	1.17599i
$316$	5.55444	−	9.62057i	0.312462	−	0.541199i
$317$	12.8147	+	7.39856i	0.719744	+	0.415545i	0.814659	−	0.579941i	$-0.196924\pi$
$317$	12.8147	+	7.39856i	0.719744	+	0.415545i	−0.0949141	+	0.995485i	$0.530258\pi$
$318$		−	25.6518i		−	1.43848i
$319$			10.1780i			0.569860i
$320$	2.41344	+	1.39340i	0.134915	+	0.0778933i
$321$	−21.5235	+	37.2797i	−1.20132	+	2.08075i
$322$	−0.124094	+	0.225928i	−0.00691551	+	0.0125905i
$323$	−13.4376	+	7.75819i	−0.747687	+	0.431677i
$324$	−4.12913	+	7.15186i	−0.229396	+	0.397326i
$325$	1.83680	+	9.80322i	0.101887	+	0.543785i
$326$	−5.12904	−	8.88376i	−0.284071	−	0.492026i
$327$			43.3156i			2.39536i
$328$	−4.79084	−	8.29797i	−0.264530	−	0.458179i
$329$	13.5241	+	22.3121i	0.745610	+	1.23011i
$330$		−	26.2286i		−	1.44384i
$331$	0.551753	−	0.318555i	0.0303271	−	0.0175093i	−0.484760	−	0.874647i	$-0.661093\pi$
$331$	0.551753	−	0.318555i	0.0303271	−	0.0175093i	0.515087	+	0.857138i	$0.327760\pi$
$332$			16.0283i			0.879665i
$333$	1.36952	−	0.790695i	0.0750494	−	0.0433298i
$334$	1.64806	+	2.85452i	0.0901776	+	0.156192i
$335$	11.7819	+	20.4068i	0.643713	+	1.11494i
$336$	5.64721	−	3.42297i	0.308080	−	0.186738i
$337$	−16.4026			−0.893508			−0.446754	−	0.894657i	$-0.647420\pi$
$337$	−16.4026			−0.893508			−0.446754	+	0.894657i	$0.647420\pi$
$338$	8.14151	−	10.1349i	0.442840	−	0.551265i
$339$	3.08860	+	5.34962i	0.167750	+	0.290551i
$340$	12.0992	+	6.98545i	0.656169	+	0.378839i
$341$	−31.0733			−1.68271
$342$	4.99803	−	8.65684i	0.270263	−	0.468108i
$343$	1.18372	+	18.4824i	0.0639151	+	0.997955i
$344$	1.11309	+	0.642640i	0.0600136	+	0.0346488i
$345$	0.586872	−	0.338830i	0.0315961	−	0.0182420i
$346$	4.71621	−	2.72291i	0.253545	−	0.146384i
$347$	−29.8388			−1.60183			−0.800915	−	0.598779i	$-0.795653\pi$
$347$	−29.8388			−1.60183			−0.800915	+	0.598779i	$0.795653\pi$
$348$	6.73686			0.361134
$349$	4.10228	−	2.36845i	0.219590	−	0.126780i	−0.386170	−	0.922427i	$-0.626202\pi$
$349$	4.10228	−	2.36845i	0.219590	−	0.126780i	0.605760	+	0.795647i	$0.292869\pi$
$350$	7.31712	−	0.156021i	0.391116	−	0.00833969i
$351$	−1.94959	−	0.686092i	−0.104062	−	0.0366209i
$352$	−1.88542	+	3.26564i	−0.100493	+	0.174059i
$353$	−21.7703	−	12.5691i	−1.15872	−	0.668985i	−0.207720	−	0.978188i	$-0.566604\pi$
$353$	−21.7703	−	12.5691i	−1.15872	−	0.668985i	−0.950996	+	0.309204i	$0.899937\pi$
$354$	6.78701	−	11.7554i	0.360725	−	0.624794i
$355$	8.15868	+	14.1312i	0.433018	+	0.750009i
$356$		−	14.3277i		−	0.759369i
$357$	28.3108	−	17.1602i	1.49837	−	0.908213i
$358$	−5.20948	−	3.00769i	−0.275329	−	0.158962i
$359$	−30.3611	−	17.5290i	−1.60240	−	0.925145i	−0.991006	−	0.133817i	$-0.957276\pi$
$359$	−30.3611	−	17.5290i	−1.60240	−	0.925145i	−0.611392	−	0.791328i	$-0.709390\pi$
$360$	−9.00042			−0.474364
$361$	−4.71025	+	8.15839i	−0.247908	+	0.429389i
$362$			14.2195i			0.747358i
$363$	8.03496			0.421726
$364$	−6.36251	−	7.10764i	−0.333486	−	0.372541i
$365$	42.7010			2.23507
$366$		−	6.56888i		−	0.343361i
$367$	−4.00248	+	6.93250i	−0.208928	+	0.361874i	−0.951377	−	0.308029i	$-0.900331\pi$
$367$	−4.00248	+	6.93250i	−0.208928	+	0.361874i	0.742449	+	0.669902i	$0.233664\pi$
$368$	−0.0974260			−0.00507868
$369$	26.7997	+	15.4728i	1.39513	+	0.805481i
$370$	−1.18173	−	0.682271i	−0.0614351	−	0.0354696i
$371$	0.579669	+	27.1854i	0.0300949	+	1.41140i
$372$			20.5675i			1.06638i
$373$	14.3631	+	24.8776i	0.743694	+	1.28812i	0.950802	+	0.309798i	$0.100261\pi$
$373$	14.3631	+	24.8776i	0.743694	+	1.28812i	−0.207108	+	0.978318i	$0.566405\pi$
$374$	−9.45207	+	16.3715i	−0.488755	+	0.846548i
$375$	13.4557	+	7.76863i	0.694848	+	0.401170i
$376$	−4.93071	+	8.54023i	−0.254282	+	0.440429i
$377$	−1.79224	−	9.56543i	−0.0923051	−	0.492645i
$378$	−0.730135	+	1.32929i	−0.0375541	+	0.0683714i
$379$	21.9159	−	12.6531i	1.12574	−	0.649947i	0.182881	−	0.983135i	$-0.441458\pi$
$379$	21.9159	−	12.6531i	1.12574	−	0.649947i	0.942861	+	0.333188i	$0.108124\pi$
$380$	−8.62535			−0.442471
$381$	−15.3232			−0.785033
$382$	−10.2101	+	5.89482i	−0.522395	+	0.301605i
$383$	6.54979	−	3.78152i	0.334679	−	0.193227i	−0.323238	−	0.946318i	$-0.604771\pi$
$383$	6.54979	−	3.78152i	0.334679	−	0.193227i	0.657916	+	0.753091i	$0.271438\pi$
$384$	2.16154	+	1.24796i	0.110306	+	0.0636849i
$385$	0.592704	+	27.7967i	0.0302070	+	1.41665i
$386$	−2.42261	+	4.19609i	−0.123308	+	0.213575i
$387$	−4.15103			−0.211008
$388$	−5.50865	−	3.18042i	−0.279659	−	0.161461i
$389$	3.13757	+	5.43442i	0.159081	+	0.275536i	0.934537	−	0.355865i	$-0.115814\pi$
$389$	3.13757	+	5.43442i	0.159081	+	0.275536i	−0.775457	+	0.631401i	$0.782480\pi$
$390$	4.61858	+	24.6500i	0.233871	+	1.24820i
$391$	−0.488420			−0.0247005
$392$	−5.90748	+	3.75523i	−0.298373	+	0.189668i
$393$	−10.9984	−	19.0498i	−0.554797	−	0.960936i
$394$	−3.03775	−	5.26154i	−0.153040	−	0.265073i
$395$	26.8106	−	15.4791i	1.34899	−	0.778838i
$396$		−	12.1785i		−	0.611995i
$397$	1.46669	−	0.846796i	0.0736113	−	0.0424995i	−0.462743	−	0.886493i	$-0.653135\pi$
$397$	1.46669	−	0.846796i	0.0736113	−	0.0424995i	0.536354	+	0.843993i	$0.319801\pi$
$398$		−	5.65478i		−	0.283448i
$399$	−9.83968	+	17.9143i	−0.492600	+	0.896834i
$400$	1.38312	+	2.39563i	0.0691560	+	0.119782i
$401$		−	0.269447i		−	0.0134555i	−0.999977	−	0.00672777i	$-0.997858\pi$
$401$		−	0.269447i		−	0.0134555i	0.999977	−	0.00672777i	$-0.00214153\pi$
$402$	10.5522	+	18.2769i	0.526294	+	0.911568i
$403$	29.2031	−	5.47168i	1.45471	−	0.272564i
$404$	−4.82460	+	8.35645i	−0.240033	+	0.415749i
$405$	−19.9308	+	11.5071i	−0.990369	+	0.571790i
$406$	−7.13963	+	0.152237i	−0.354334	+	0.00755538i
$407$	0.923187	−	1.59901i	0.0457607	−	0.0792598i
$408$	10.8363	+	6.25635i	0.536478	+	0.309736i
$409$		−	32.0946i		−	1.58697i	−0.608588	−	0.793487i	$-0.708264\pi$
$409$		−	32.0946i		−	1.58697i	0.608588	−	0.793487i	$-0.291736\pi$
$410$		−	26.7022i		−	1.31873i
$411$	11.1637	+	6.44537i	0.550665	+	0.317926i
$412$	−3.87462	+	6.71105i	−0.190889	+	0.330629i
$413$	−6.92713	+	12.6116i	−0.340862	+	0.620577i
$414$	0.272498	−	0.157327i	0.0133925	−	0.00773218i
$415$	−22.3338	+	38.6832i	−1.09632	+	1.89888i
$416$	1.19690	−	3.40109i	0.0586826	−	0.166752i
$417$	8.58971	+	14.8778i	0.420640	+	0.728570i
$418$		−	11.6710i		−	0.570849i
$419$	3.42135	+	5.92595i	0.167144	+	0.289502i	0.937415	−	0.348215i	$-0.113212\pi$
$419$	3.42135	+	5.92595i	0.167144	+	0.289502i	−0.770271	+	0.637717i	$0.779879\pi$
$420$	18.3987	−	0.392312i	0.897766	−	0.0191429i
$421$		−	13.2165i		−	0.644132i	−0.946717	−	0.322066i	$-0.895623\pi$
$421$		−	13.2165i		−	0.644132i	0.946717	−	0.322066i	$-0.104377\pi$
$422$	10.4589	−	6.03845i	0.509131	−	0.293947i
$423$		−	31.8490i		−	1.54855i
$424$	−8.90055	+	5.13873i	−0.432249	+	0.249559i
$425$	6.93391	+	12.0099i	0.336344	+	0.582565i
$426$	7.30713	+	12.6563i	0.354032	+	0.613201i
$427$	0.148441	+	6.96160i	0.00718355	+	0.336896i
$428$	17.2469			0.833658
$429$	−33.3541	+	6.24945i	−1.61035	+	0.301726i
$430$	1.79091	+	3.10194i	0.0863653	+	0.149589i
$431$	−21.1031	−	12.1839i	−1.01650	−	0.586876i	−0.103412	−	0.994639i	$-0.532976\pi$
$431$	−21.1031	−	12.1839i	−1.01650	−	0.586876i	−0.913088	+	0.407762i	$0.866309\pi$
$432$	−0.573226			−0.0275793
$433$	9.31448	−	16.1331i	0.447625	−	0.775310i	−0.550606	−	0.834765i	$-0.685603\pi$
$433$	9.31448	−	16.1331i	0.447625	−	0.775310i	0.998231	+	0.0594558i	$0.0189365\pi$
$434$	−0.464776	−	21.7971i	−0.0223099	−	1.04630i
$435$	16.2590	+	9.38713i	0.779559	+	0.450079i
$436$	15.0294	−	8.67725i	0.719779	−	0.415565i
$437$	0.261142	−	0.150770i	0.0124921	−	0.00721233i
$438$	38.2442			1.82738
$439$	−4.35188			−0.207704			−0.103852	−	0.994593i	$-0.533117\pi$
$439$	−4.35188			−0.207704			−0.103852	+	0.994593i	$0.533117\pi$
$440$	−9.10068	+	5.25428i	−0.433858	+	0.250488i
$441$	10.4590	−	20.0428i	0.498047	−	0.954421i
$442$	6.00033	−	17.0505i	0.285407	−	0.811010i
$443$	−1.16394	+	2.01601i	−0.0553005	+	0.0957833i	−0.892350	−	0.451343i	$-0.850945\pi$
$443$	−1.16394	+	2.01601i	−0.0553005	+	0.0957833i	0.837050	+	0.547127i	$0.184278\pi$
$444$	−1.05839	−	0.611060i	−0.0502288	−	0.0289996i
$445$	19.9643	−	34.5791i	0.946396	−	1.63921i
$446$	−10.7894	−	18.6878i	−0.510895	−	0.884895i
$447$		−	23.6472i		−	1.11848i
$448$	−2.31897	−	1.27373i	−0.109561	−	0.0601781i
$449$	−17.4514	−	10.0756i	−0.823582	−	0.475495i	0.0280681	−	0.999606i	$-0.491064\pi$
$449$	−17.4514	−	10.0756i	−0.823582	−	0.475495i	−0.851650	+	0.524111i	$0.824398\pi$
$450$	−7.73709	−	4.46701i	−0.364730	−	0.210577i
$451$	36.1309			1.70134
$452$	1.23746	−	2.14334i	0.0582050	−	0.100814i
$453$		−	32.0985i		−	1.50812i
$454$	−3.01636			−0.141565
$455$	−5.45174	−	26.0193i	−0.255581	−	1.21981i
$456$	−7.72510			−0.361761
$457$			4.00826i			0.187498i	0.995596	+	0.0937492i	$0.0298852\pi$
$457$			4.00826i			0.187498i	−0.995596	+	0.0937492i	$0.970115\pi$
$458$	−6.29670	+	10.9062i	−0.294226	+	0.509614i
$459$	−2.87372			−0.134134
$460$	−0.235131	−	0.135753i	−0.0109631	−	0.00632953i
$461$	11.6606	+	6.73224i	0.543088	+	0.313552i	0.746329	−	0.665577i	$-0.231814\pi$
$461$	11.6606	+	6.73224i	0.543088	+	0.313552i	−0.203242	+	0.979129i	$0.565148\pi$
$462$	0.530841	+	24.8955i	0.0246970	+	1.15824i
$463$		−	1.46774i		−	0.0682116i	−0.999418	−	0.0341058i	$-0.989142\pi$
$463$		−	1.46774i		−	0.0682116i	0.999418	−	0.0341058i	$-0.0108583\pi$
$464$	−1.34957	−	2.33752i	−0.0626522	−	0.108517i
$465$	−28.6587	+	49.6384i	−1.32902	+	2.30192i
$466$	14.9781	+	8.64761i	0.693847	+	0.400593i
$467$	−5.00885	+	8.67558i	−0.231782	+	0.401458i	−0.958333	−	0.285655i	$-0.907789\pi$
$467$	−5.00885	+	8.67558i	−0.231782	+	0.401458i	0.726551	+	0.687113i	$0.241122\pi$
$468$	2.14451	+	11.4455i	0.0991301	+	0.529071i
$469$	−11.5960	−	19.1311i	−0.535456	−	0.883393i
$470$	−23.7999	+	13.7409i	−1.09781	+	0.633819i
$471$	5.00407			0.230575
$472$	−5.43846			−0.250325
$473$	−4.19727	+	2.42329i	−0.192991	+	0.111423i
$474$	24.0123	−	13.8635i	1.10292	−	0.636771i
$475$	−7.41467	−	4.28086i	−0.340208	−	0.196419i
$476$	−11.6256	−	6.38552i	−0.532856	−	0.292680i
$477$	16.5964	−	28.7458i	0.759896	−	1.31618i
$478$	15.6915			0.717713
$479$	7.74369	+	4.47082i	0.353818	+	0.204277i	0.666366	−	0.745625i	$-0.267849\pi$
$479$	7.74369	+	4.47082i	0.353818	+	0.204277i	−0.312547	+	0.949902i	$0.601182\pi$
$480$	3.47782	+	6.02377i	0.158740	+	0.274946i
$481$	−0.586054	+	1.66533i	−0.0267218	+	0.0759325i
$482$	−18.6920			−0.851398
$483$	−0.550184	+	0.333486i	−0.0250343	+	0.0151741i
$484$	−1.60961	−	2.78793i	−0.0731642	−	0.126724i
$485$	−8.86318	−	15.3515i	−0.402456	−	0.697075i
$486$	−19.3398	+	11.1659i	−0.877273	+	0.506494i
$487$			21.2809i			0.964328i	0.876081	+	0.482164i	$0.160149\pi$
$487$			21.2809i			0.964328i	−0.876081	+	0.482164i	$0.839851\pi$
$488$	−2.27924	+	1.31592i	−0.103176	+	0.0595688i
$489$		−	25.6035i		−	1.15783i
$490$	−19.4898	+	0.831534i	−0.880462	+	0.0375649i
$491$	3.45976	+	5.99247i	0.156137	+	0.270437i	0.933472	−	0.358649i	$-0.116763\pi$
$491$	3.45976	+	5.99247i	0.156137	+	0.270437i	−0.777336	+	0.629086i	$0.783429\pi$
$492$		−	23.9152i		−	1.07818i
$493$	−6.76572	−	11.7186i	−0.304713	−	0.527778i
$494$	2.05515	+	10.9686i	0.0924654	+	0.493500i
$495$	16.9696	−	29.3921i	0.762725	−	1.32108i
$496$	7.13641	−	4.12021i	0.320434	−	0.185003i
$497$	−8.02999	−	13.2479i	−0.360194	−	0.594248i
$498$	−20.0027	+	34.6457i	−0.896343	+	1.55251i
$499$	17.6508	+	10.1907i	0.790157	+	0.456197i	0.840018	−	0.542559i	$-0.182545\pi$
$499$	17.6508	+	10.1907i	0.790157	+	0.456197i	−0.0498611	+	0.998756i	$0.515878\pi$
$500$		−	6.22504i		−	0.278392i
$501$			8.22686i			0.367549i
$502$	8.24648	+	4.76111i	0.368058	+	0.212499i
$503$	−19.0046	+	32.9170i	−0.847375	+	1.46770i	0.0361679	+	0.999346i	$0.488485\pi$
$503$	−19.0046	+	32.9170i	−0.847375	+	1.46770i	−0.883543	+	0.468351i	$0.844848\pi$
$504$	8.54295	−	0.182159i	0.380533	−	0.00811402i
$505$	−23.2877	+	13.4452i	−1.03629	+	0.598302i
$506$	0.183689	−	0.318158i	0.00816596	−	0.0141439i
$507$	30.2462	−	11.7466i	1.34328	−	0.521685i
$508$	3.06965	+	5.31678i	0.136194	+	0.235894i
$509$		−	1.29326i		−	0.0573229i	−0.999589	−	0.0286615i	$-0.990876\pi$
$509$		−	1.29326i		−	0.0573229i	0.999589	−	0.0286615i	$-0.00912448\pi$
$510$	17.4352	+	30.1986i	0.772043	+	1.33722i
$511$	−40.5306	+	0.864225i	−1.79297	+	0.0382311i
$512$		−	1.00000i		−	0.0441942i
$513$	1.53648	−	0.887089i	0.0678374	−	0.0391659i
$514$		−	3.01147i		−	0.132830i
$515$	−18.7023	+	10.7978i	−0.824123	+	0.475808i
$516$	1.60399	+	2.77818i	0.0706115	+	0.122303i
$517$	−18.5929	−	32.2038i	−0.817715	−	1.41632i
$518$	1.13547	+	0.623675i	0.0498898	+	0.0274027i
$519$	13.5924			0.596638
$520$	7.62771	−	6.54057i	0.334497	−	0.286823i
$521$	16.7051	+	28.9342i	0.731865	+	1.26763i	0.956085	+	0.293089i	$0.0946834\pi$
$521$	16.7051	+	28.9342i	0.731865	+	1.26763i	−0.224220	+	0.974539i	$0.571983\pi$
$522$	7.54942	+	4.35866i	0.330429	+	0.190773i
$523$	−42.5506			−1.86061			−0.930303	−	0.366792i	$-0.880456\pi$
$523$	−42.5506			−1.86061			−0.930303	+	0.366792i	$0.880456\pi$
$524$	−4.40654	+	7.63235i	−0.192501	+	0.333421i
$525$	16.0109	+	8.79426i	0.698775	+	0.383813i
$526$	1.96602	+	1.13508i	0.0857226	+	0.0494920i
$527$	35.7766	−	20.6556i	1.55845	−	0.899773i
$528$	−8.15081	+	4.70587i	−0.354719	+	0.204797i
$529$	−22.9905			−0.999587
$530$	−28.6412			−1.24410
$531$	15.2112	−	8.78220i	0.660110	−	0.381115i
$532$	8.18695	−	0.174568i	0.354949	−	0.00756850i
$533$	−33.9563	+	6.36227i	−1.47081	+	0.275581i
$534$	17.8805	−	30.9700i	0.773766	−	1.34020i
$535$	41.6242	+	24.0317i	1.79957	+	1.03898i
$536$	4.22775	−	7.32268i	0.182611	−	0.316292i
$537$	−7.50699	−	13.0025i	−0.323951	−	0.561099i
$538$			2.93966i			0.126738i
$539$	−1.12516	−	26.3719i	−0.0484639	−	1.13592i
$540$	−1.38344	−	0.798732i	−0.0595340	−	0.0343719i
$541$	25.5122	+	14.7295i	1.09685	+	0.633269i	0.935393	−	0.353610i	$-0.115046\pi$
$541$	25.5122	+	14.7295i	1.09685	+	0.633269i	0.161461	+	0.986879i	$0.448379\pi$
$542$	−15.8460			−0.680645
$543$	−17.7454	+	30.7359i	−0.761527	+	1.31900i
$544$		−	5.01324i		−	0.214941i
$545$	48.3634			2.07166
$546$	−4.88272	−	23.3036i	−0.208961	−	0.997303i
$547$	−9.59486			−0.410246			−0.205123	−	0.978736i	$-0.565760\pi$
$547$	−9.59486			−0.410246			−0.205123	+	0.978736i	$0.565760\pi$
$548$		−	5.16470i		−	0.220625i
$549$	4.24997	−	7.36117i	0.181384	−	0.314167i
$550$	−10.4310			−0.444781
$551$	7.23482	+	4.17702i	0.308214	+	0.177947i
$552$	−0.210590	−	0.121584i	−0.00896330	−	0.00517497i
$553$	−25.1346	+	15.2349i	−1.06883	+	0.647856i
$554$			22.2223i			0.944135i
$555$	−1.70290	−	2.94951i	−0.0722841	−	0.125200i
$556$	3.44149	−	5.96083i	0.145952	−	0.252796i
$557$	2.30315	+	1.32973i	0.0975877	+	0.0563423i	0.548000	−	0.836479i	$-0.315390\pi$
$557$	2.30315	+	1.32973i	0.0975877	+	0.0563423i	−0.450412	+	0.892821i	$0.648723\pi$
$558$	−13.3069	+	23.0482i	−0.563326	+	0.975708i
$559$	3.51793	−	3.01654i	0.148793	−	0.127586i
$560$	−3.82187	−	6.30531i	−0.161504	−	0.266448i
$561$	−40.8620	+	23.5917i	−1.72520	+	0.996042i
$562$	−9.18876			−0.387605
$563$	−16.4851			−0.694763			−0.347382	−	0.937724i	$-0.612929\pi$
$563$	−16.4851			−0.694763			−0.347382	+	0.937724i	$0.612929\pi$
$564$	−21.3158	+	12.3067i	−0.897558	+	0.518205i
$565$	5.97304	−	3.44854i	0.251288	−	0.145081i
$566$	−14.7711	−	8.52808i	−0.620875	−	0.358462i
$567$	18.6849	−	11.3255i	0.784691	−	0.475628i
$568$	2.92762	−	5.07078i	0.122840	−	0.212765i
$569$	−8.77498			−0.367866			−0.183933	−	0.982939i	$-0.558883\pi$
$569$	−8.77498			−0.367866			−0.183933	+	0.982939i	$0.558883\pi$
$570$	−18.6440	−	10.7641i	−0.780913	−	0.450860i
$571$	−8.31728	−	14.4059i	−0.348067	−	0.602870i	0.637839	−	0.770170i	$-0.279829\pi$
$571$	−8.31728	−	14.4059i	−0.348067	−	0.602870i	−0.985906	+	0.167300i	$0.946495\pi$
$572$	8.85011	+	10.3211i	0.370041	+	0.431548i
$573$	−29.4261			−1.22929
$574$	0.540425	+	25.3450i	0.0225569	+	1.05788i
$575$	−0.134752	−	0.233397i	−0.00561954	−	0.00973332i
$576$	1.61483	+	2.79697i	0.0672847	+	0.116540i
$577$	−10.7047	+	6.18039i	−0.445644	+	0.257293i	−0.705989	−	0.708223i	$-0.749497\pi$
$577$	−10.7047	+	6.18039i	−0.445644	+	0.257293i	0.260345	+	0.965516i	$0.416164\pi$
$578$		−	8.13262i		−	0.338272i
$579$	−10.4731	+	6.04667i	−0.435249	+	0.251291i
$580$		−	7.52195i		−	0.312332i
$581$	20.4157	−	37.1690i	0.846985	−	1.54203i
$582$	−7.93810	−	13.7492i	−0.329045	−	0.569922i
$583$		−	38.7547i		−	1.60505i
$584$	−7.66130	−	13.2698i	−0.317027	−	0.549107i
$585$	−10.7726	+	30.6113i	−0.445391	+	1.26562i
$586$	12.8422	−	22.2433i	0.530505	−	0.918862i
$587$	11.1764	−	6.45268i	0.461298	−	0.266331i	−0.251292	−	0.967911i	$-0.580855\pi$
$587$	11.1764	−	6.45268i	0.461298	−	0.266331i	0.712590	+	0.701581i	$0.247522\pi$
$588$	−17.4556	+	0.744744i	−0.719858	+	0.0307127i
$589$	−12.7524	+	22.0877i	−0.525452	+	0.910110i
$590$	−13.1254	−	7.57794i	−0.540363	−	0.311979i
$591$		−	15.1640i		−	0.623765i
$592$			0.489645i			0.0201243i
$593$	23.4361	+	13.5308i	0.962404	+	0.555644i	0.896912	−	0.442209i	$-0.145805\pi$
$593$	23.4361	+	13.5308i	0.962404	+	0.555644i	0.0654920	+	0.997853i	$0.479138\pi$
$594$	1.08077	−	1.87195i	0.0443446	−	0.0768070i
$595$	−19.1600	−	31.6101i	−0.785482	−	1.29589i
$596$	−8.20500	+	4.73716i	−0.336090	+	0.194042i
$597$	7.05696	−	12.2230i	0.288822	−	0.500255i
$598$	−0.116609	+	0.331355i	−0.00476849	+	0.0135501i
$599$	−2.87777	−	4.98444i	−0.117582	−	0.203659i	0.801227	−	0.598361i	$-0.204181\pi$
$599$	−2.87777	−	4.98444i	−0.117582	−	0.203659i	−0.918809	+	0.394702i	$0.870848\pi$
$600$			6.90434i			0.281868i
$601$	12.5000	+	21.6506i	0.509886	+	0.883148i	0.999934	+	0.0114531i	$0.00364571\pi$
$601$	12.5000	+	21.6506i	0.509886	+	0.883148i	−0.490049	+	0.871695i	$0.663021\pi$
$602$	−1.76266	−	2.90803i	−0.0718407	−	0.118523i
$603$			27.3084i			1.11209i
$604$	−11.1374	+	6.43017i	−0.453174	+	0.261640i
$605$		−	8.97133i		−	0.364736i
$606$	−20.8571	+	12.0419i	−0.847262	+	0.489167i
$607$	−16.4581	−	28.5062i	−0.668012	−	1.15703i	−0.978459	−	0.206441i	$-0.933812\pi$
$607$	−16.4581	−	28.5062i	−0.668012	−	1.15703i	0.310447	−	0.950591i	$-0.399521\pi$
$608$	1.54754	+	2.68042i	0.0627610	+	0.108705i
$609$	−15.6226	−	8.58094i	−0.633058	−	0.347717i
$610$	−7.33439			−0.296961
$611$	23.1446	+	26.9916i	0.936330	+	1.09196i
$612$	8.09555	+	14.0219i	0.327243	+	0.566802i
$613$	40.1590	+	23.1858i	1.62201	+	0.936467i	0.986382	+	0.164469i	$0.0525911\pi$
$613$	40.1590	+	23.1858i	1.62201	+	0.936467i	0.635626	+	0.771997i	$0.280742\pi$
$614$	−19.1987			−0.774795
$615$	33.3234	−	57.7178i	1.34373	−	2.32741i
$616$	8.53177	−	5.17141i	0.343755	−	0.208362i
$617$	1.15943	+	0.669398i	0.0466769	+	0.0269489i	0.523157	−	0.852236i	$-0.324754\pi$
$617$	1.15943	+	0.669398i	0.0466769	+	0.0269489i	−0.476480	+	0.879185i	$0.658088\pi$
$618$	−16.7503	+	9.67079i	−0.673796	+	0.389016i
$619$	−30.7087	+	17.7297i	−1.23429	+	0.712615i	−0.967920	−	0.251257i	$-0.919156\pi$
$619$	−30.7087	+	17.7297i	−1.23429	+	0.712615i	−0.266365	+	0.963872i	$0.585823\pi$
$620$	22.9644			0.922271
$621$	0.0558471			0.00224107
$622$	5.79531	−	3.34592i	0.232371	−	0.134159i
$623$	−18.2497	+	33.2256i	−0.731157	+	1.33115i
$624$	6.83158	−	5.85791i	0.273482	−	0.234504i
$625$	15.5896	−	27.0019i	0.623582	−	1.08008i
$626$	−7.47648	−	4.31655i	−0.298820	−	0.172524i
$627$	14.5650	−	25.2274i	0.581672	−	1.00749i
$628$	−1.00245	−	1.73629i	−0.0400020	−	0.0692854i
$629$			2.45471i			0.0978757i
$630$	20.8717	+	11.4641i	0.831548	+	0.456741i
$631$	−16.2308	−	9.37087i	−0.646139	−	0.373049i	0.140836	−	0.990033i	$-0.455021\pi$
$631$	−16.2308	−	9.37087i	−0.646139	−	0.373049i	−0.786975	+	0.616984i	$0.788354\pi$
$632$	−9.62057	−	5.55444i	−0.382686	−	0.220944i
$633$	30.1431			1.19808
$634$	7.39856	−	12.8147i	0.293834	−	0.508936i
$635$			17.1090i			0.678949i
$636$	−25.6518			−1.01716
$637$	5.70124	+	24.5865i	0.225891	+	0.974152i
$638$	10.1780			0.402952
$639$			18.9105i			0.748086i
$640$	1.39340	−	2.41344i	0.0550789	−	0.0953995i
$641$	13.8013			0.545117			0.272559	−	0.962139i	$-0.412130\pi$
$641$	13.8013			0.545117			0.272559	+	0.962139i	$0.412130\pi$
$642$	37.2797	+	21.5235i	1.47131	+	0.849464i
$643$	−8.54461	−	4.93323i	−0.336967	−	0.194548i	0.321963	−	0.946752i	$-0.395657\pi$
$643$	−8.54461	−	4.93323i	−0.336967	−	0.194548i	−0.658930	+	0.752204i	$0.728991\pi$
$644$	0.225928	+	0.124094i	0.00890280	+	0.00489000i
$645$			8.93996i			0.352011i
$646$	7.75819	+	13.4376i	0.305242	+	0.528695i
$647$	15.0867	−	26.1310i	0.593120	−	1.02731i	−0.400689	−	0.916214i	$-0.631229\pi$
$647$	15.0867	−	26.1310i	0.593120	−	1.02731i	0.993809	−	0.111101i	$-0.0354375\pi$
$648$	7.15186	+	4.12913i	0.280952	+	0.162208i
$649$	10.2538	−	17.7601i	0.402496	−	0.697143i
$650$	9.80322	−	1.83680i	0.384514	−	0.0720450i
$651$	26.1974	−	47.6954i	1.02676	−	1.86933i
$652$	−8.88376	+	5.12904i	−0.347915	+	0.200869i
$653$	7.32133			0.286506			0.143253	−	0.989686i	$-0.454244\pi$
$653$	7.32133			0.286506			0.143253	+	0.989686i	$0.454244\pi$
$654$	43.3156			1.69377
$655$	−21.2698	+	12.2801i	−0.831080	+	0.479824i
$656$	−8.29797	+	4.79084i	−0.323981	+	0.187051i
$657$	42.8569	+	24.7434i	1.67201	+	0.965334i
$658$	22.3121	−	13.5241i	0.869816	−	0.527226i
$659$	9.37228	−	16.2333i	0.365092	−	0.632358i	−0.623699	−	0.781665i	$-0.714371\pi$
$659$	9.37228	−	16.2333i	0.365092	−	0.632358i	0.988791	+	0.149307i	$0.0477042\pi$
$660$	−26.2286			−1.02095
$661$	28.2737	+	16.3238i	1.09972	+	0.634924i	0.936148	−	0.351607i	$-0.114365\pi$
$661$	28.2737	+	16.3238i	1.09972	+	0.634924i	0.163573	+	0.986531i	$0.447698\pi$
$662$	−0.318555	−	0.551753i	−0.0123810	−	0.0214445i
$663$	34.2484	−	29.3671i	1.33010	−	1.14053i
$664$	16.0283			0.622017
$665$	20.0019	+	10.9864i	0.775641	+	0.426033i
$666$	−0.790695	−	1.36952i	−0.0306388	−	0.0530680i
$667$	0.131483	+	0.227735i	0.00509105	+	0.00881795i
$668$	2.85452	−	1.64806i	0.110445	−	0.0637652i
$669$		−	53.8593i		−	2.08232i
$670$	20.4068	−	11.7819i	0.788384	−	0.455174i
$671$		−	9.92423i		−	0.383121i
$672$	−3.42297	−	5.64721i	−0.132044	−	0.217846i
$673$	−5.06141	−	8.76662i	−0.195103	−	0.337928i	0.751831	−	0.659356i	$-0.229171\pi$
$673$	−5.06141	−	8.76662i	−0.195103	−	0.337928i	−0.946934	+	0.321427i	$0.895837\pi$
$674$			16.4026i			0.631805i
$675$	−0.792840	−	1.37324i	−0.0305164	−	0.0528560i
$676$	−10.1349	−	8.14151i	−0.389803	−	0.313135i
$677$	−8.76133	+	15.1751i	−0.336725	+	0.583226i	−0.983815	−	0.179189i	$-0.942653\pi$
$677$	−8.76133	+	15.1751i	−0.336725	+	0.583226i	0.647089	+	0.762414i	$0.275986\pi$
$678$	5.34962	−	3.08860i	0.205451	−	0.118617i
$679$	8.72338	+	14.3918i	0.334773	+	0.552307i
$680$	6.98545	−	12.0992i	0.267880	−	0.463981i
$681$	−6.51997	−	3.76431i	−0.249846	−	0.144249i
$682$			31.0733i			1.18986i
$683$		−	19.5377i		−	0.747590i	−0.927511	−	0.373795i	$-0.878056\pi$
$683$		−	19.5377i		−	0.747590i	0.927511	−	0.373795i	$-0.121944\pi$
$684$	−8.65684	−	4.99803i	−0.331003	−	0.191104i
$685$	7.19649	−	12.4647i	0.274964	−	0.476251i
$686$	18.4824	−	1.18372i	0.705661	−	0.0451948i
$687$	−27.2211	+	15.7161i	−1.03855	+	0.599608i
$688$	0.642640	−	1.11309i	0.0245004	−	0.0424360i
$689$	6.82429	+	36.4221i	0.259985	+	1.38757i
$690$	−0.338830	−	0.586872i	−0.0128991	−	0.0223418i
$691$			28.4853i			1.08363i	0.840497	+	0.541816i	$0.182263\pi$
$691$			28.4853i			1.08363i	−0.840497	+	0.541816i	$0.817737\pi$
$692$	−2.72291	−	4.71621i	−0.103509	−	0.179283i
$693$	−15.5122	+	28.2417i	−0.589259	+	1.07281i
$694$			29.8388i			1.13266i
$695$	16.6116	−	9.59073i	0.630115	−	0.363797i
$696$		−	6.73686i		−	0.255360i
$697$	−41.5998	+	24.0176i	−1.57570	+	0.909733i
$698$	−2.36845	−	4.10228i	−0.0896473	−	0.155274i
$699$	21.5838	+	37.3843i	0.816376	+	1.41400i
$700$	−0.156021	−	7.31712i	−0.00589705	−	0.276561i
$701$	−18.5649			−0.701186			−0.350593	−	0.936528i	$-0.614020\pi$
$701$	−18.5649			−0.701186			−0.350593	+	0.936528i	$0.614020\pi$
$702$	−0.686092	+	1.94959i	−0.0258949	+	0.0735827i
$703$	−0.757745	−	1.31245i	−0.0285789	−	0.0495001i
$704$	3.26564	+	1.88542i	0.123079	+	0.0710594i
$705$	−68.5925			−2.58334
$706$	−12.5691	+	21.7703i	−0.473044	+	0.819335i
$707$	21.8319	−	13.2331i	0.821074	−	0.497682i
$708$	−11.7554	−	6.78701i	−0.441796	−	0.255071i
$709$	−44.2691	+	25.5588i	−1.66256	+	0.959880i	−0.691074	+	0.722784i	$0.742862\pi$
$709$	−44.2691	+	25.5588i	−1.66256	+	0.959880i	−0.971486	+	0.237095i	$0.923805\pi$
$710$	14.1312	−	8.15868i	0.530336	−	0.306190i
$711$	35.8780			1.34553
$712$	−14.3277			−0.536955
$713$	−0.695272	+	0.401415i	−0.0260381	+	0.0150331i
$714$	−17.1602	−	28.3108i	−0.642204	−	1.05951i
$715$	6.97774	+	37.2411i	0.260953	+	1.39274i
$716$	−3.00769	+	5.20948i	−0.112403	+	0.194687i
$717$	33.9178	+	19.5825i	1.26668	+	0.731320i
$718$	−17.5290	+	30.3611i	−0.654176	+	1.13307i
$719$	11.1514	+	19.3147i	0.415876	+	0.720318i	0.995520	−	0.0945520i	$-0.0301419\pi$
$719$	11.1514	+	19.3147i	0.415876	+	0.720318i	−0.579644	+	0.814870i	$0.696809\pi$
$720$			9.00042i			0.335426i
$721$	17.5332	−	10.6275i	0.652970	−	0.395788i
$722$	8.15839	+	4.71025i	0.303624	+	0.175297i
$723$	−40.4035	−	23.3270i	−1.50262	−	0.867540i
$724$	14.2195			0.528462
$725$	3.73323	−	6.46615i	0.138649	−	0.240147i
$726$		−	8.03496i		−	0.298205i
$727$	−17.2920			−0.641324			−0.320662	−	0.947194i	$-0.603905\pi$
$727$	−17.2920			−0.641324			−0.320662	+	0.947194i	$0.603905\pi$
$728$	−7.10764	+	6.36251i	−0.263427	+	0.235810i
$729$	−30.9636			−1.14680
$730$		−	42.7010i		−	1.58044i
$731$	3.22171	−	5.58017i	0.119159	−	0.206390i
$732$	−6.56888			−0.242793
$733$	−36.2015	−	20.9010i	−1.33713	−	0.771995i	−0.350752	−	0.936468i	$-0.614074\pi$
$733$	−36.2015	−	20.9010i	−1.33713	−	0.771995i	−0.986381	+	0.164474i	$0.947407\pi$
$734$	6.93250	+	4.00248i	0.255883	+	0.147734i
$735$	−43.1658	−	22.5253i	−1.59219	−	0.830856i
$736$			0.0974260i			0.00359117i
$737$	15.9422	+	27.6126i	0.587237	+	1.01712i
$738$	15.4728	−	26.7997i	0.569561	−	0.986509i
$739$	32.8076	+	18.9415i	1.20685	+	0.696774i	0.962069	−	0.272806i	$-0.0879516\pi$
$739$	32.8076	+	18.9415i	1.20685	+	0.696774i	0.244778	+	0.969579i	$0.421285\pi$
$740$	−0.682271	+	1.18173i	−0.0250808	+	0.0434412i
$741$	−9.24614	+	26.2738i	−0.339665	+	0.965191i
$742$	27.1854	−	0.579669i	0.998009	−	0.0212803i
$743$	−8.61540	+	4.97411i	−0.316069	+	0.182482i	−0.649639	−	0.760243i	$-0.725080\pi$
$743$	−8.61540	+	4.97411i	−0.316069	+	0.182482i	0.333570	+	0.942725i	$0.391747\pi$
$744$	20.5675			0.754041
$745$	−26.4030			−0.967331
$746$	24.8776	−	14.3631i	0.910835	−	0.525871i
$747$	−44.8306	+	25.8830i	−1.64027	+	0.947008i
$748$	16.3715	+	9.45207i	0.598600	+	0.345602i
$749$	−39.9949	−	21.9678i	−1.46138	−	0.802687i
$750$	7.76863	−	13.4557i	0.283670	−	0.491331i
$751$	36.4941			1.33169			0.665843	−	0.746091i	$-0.268072\pi$
$751$	36.4941			1.33169			0.665843	+	0.746091i	$0.268072\pi$
$752$	8.54023	+	4.93071i	0.311430	+	0.179804i
$753$	11.8834	+	20.5826i	0.433055	+	0.750073i
$754$	−9.56543	+	1.79224i	−0.348352	+	0.0652696i
$755$	−35.8392			−1.30432
$756$	1.32929	+	0.730135i	0.0483459	+	0.0265547i
$757$	1.82304	+	3.15759i	0.0662594	+	0.114765i	0.897252	−	0.441519i	$-0.145560\pi$
$757$	1.82304	+	3.15759i	0.0662594	+	0.114765i	−0.830993	+	0.556284i	$0.812227\pi$
$758$	−12.6531	−	21.9159i	−0.459582	−	0.796020i
$759$	0.794101	−	0.458474i	0.0288240	−	0.0166416i
$760$			8.62535i			0.312874i
$761$	27.6262	−	15.9500i	1.00145	−	0.578187i	0.0927724	−	0.995687i	$-0.470427\pi$
$761$	27.6262	−	15.9500i	1.00145	−	0.578187i	0.908677	+	0.417500i	$0.137094\pi$
$762$			15.3232i			0.555103i
$763$	−45.9052	+	0.978827i	−1.66188	+	0.0354359i
$764$	5.89482	+	10.2101i	0.213267	+	0.369389i
$765$			45.1213i			1.63136i
$766$	−3.78152	−	6.54979i	−0.136632	−	0.236654i
$767$	−6.50927	+	18.4967i	−0.235036	+	0.667877i
$768$	1.24796	−	2.16154i	0.0450320	−	0.0779978i
$769$	44.8246	−	25.8795i	1.61642	−	0.933238i	0.628578	−	0.777747i	$-0.283637\pi$
$769$	44.8246	−	25.8795i	1.61642	−	0.933238i	0.987837	−	0.155491i	$-0.0496960\pi$
$770$	27.7967	−	0.592704i	1.00172	−	0.0213596i
$771$	3.75821	−	6.50941i	0.135349	−	0.234431i
$772$	4.19609	+	2.42261i	0.151021	+	0.0871918i
$773$			54.9007i			1.97464i	0.158735	+	0.987321i	$0.449258\pi$
$773$			54.9007i			1.97464i	−0.158735	+	0.987321i	$0.550742\pi$
$774$			4.15103i			0.149206i
$775$	19.7410	+	11.3975i	0.709118	+	0.409410i
$776$	−3.18042	+	5.50865i	−0.114170	+	0.197749i
$777$	1.67604	+	2.76513i	0.0601276	+	0.0991984i
$778$	5.43442	−	3.13757i	0.194833	−	0.112487i
$779$	14.8280	−	25.6829i	0.531269	−	0.920184i
$780$	24.6500	−	4.61858i	0.882612	−	0.165372i
$781$	11.0396	+	19.1211i	0.395027	+	0.684207i
$782$			0.488420i			0.0174659i
$783$	0.773608	+	1.33993i	0.0276465	+	0.0478851i
$784$	3.75523	+	5.90748i	0.134115	+	0.210981i
$785$		−	5.58723i		−	0.199417i
$786$	−19.0498	+	10.9984i	−0.679484	+	0.392300i
$787$		−	29.3950i		−	1.04782i	−0.851774	−	0.523909i	$-0.824473\pi$
$787$		−	29.3950i		−	1.04782i	0.851774	−	0.523909i	$-0.175527\pi$
$788$	−5.26154	+	3.03775i	−0.187435	+	0.108215i
$789$	2.83309	+	4.90705i	0.100861	+	0.174696i
$790$	−15.4791	−	26.8106i	−0.550722	−	0.953878i
$791$	−5.59965	+	3.39414i	−0.199101	+	0.120682i
$792$	−12.1785			−0.432746
$793$	1.74755	+	9.32692i	0.0620574	+	0.331209i
$794$	−0.846796	−	1.46669i	−0.0300517	−	0.0520510i
$795$	−61.9091	−	35.7432i	−2.19569	−	1.26768i
$796$	−5.65478			−0.200428
$797$	−1.82440	+	3.15995i	−0.0646234	+	0.111931i	−0.896527	−	0.442989i	$-0.853918\pi$
$797$	−1.82440	+	3.15995i	−0.0646234	+	0.111931i	0.831903	+	0.554920i	$0.187251\pi$
$798$	17.9143	+	9.83968i	0.634158	+	0.348321i
$799$	42.8143	+	24.7188i	1.51466	+	0.874489i
$800$	2.39563	−	1.38312i	0.0846984	−	0.0489006i
$801$	40.0743	−	23.1369i	1.41596	−	0.817502i
$802$	−0.269447			−0.00951451
$803$	57.7791			2.03898
$804$	18.2769	−	10.5522i	0.644576	−	0.372146i
$805$	0.372349	+	0.614301i	0.0131236	+	0.0216513i
$806$	−5.47168	−	29.2031i	−0.192732	−	1.02863i
$807$	−3.66859	+	6.35419i	−0.129141	+	0.223678i
$808$	8.35645	+	4.82460i	0.293979	+	0.169729i
$809$	21.0289	−	36.4231i	0.739336	−	1.28057i	−0.213459	−	0.976952i	$-0.568473\pi$
$809$	21.0289	−	36.4231i	0.739336	−	1.28057i	0.952795	−	0.303615i	$-0.0981936\pi$
$810$	11.5071	+	19.9308i	0.404317	+	0.700297i
$811$			53.2847i			1.87108i	0.353222	+	0.935539i	$0.385086\pi$
$811$			53.2847i			1.87108i	−0.353222	+	0.935539i	$0.614914\pi$
$812$	0.152237	+	7.13963i	0.00534246	+	0.250552i
$813$	−34.2518	−	19.7753i	−1.20126	−	0.693549i
$814$	−1.59901	−	0.923187i	−0.0560451	−	0.0323577i
$815$	−28.5872			−1.00137
$816$	6.25635	−	10.8363i	0.219016	−	0.379347i
$817$			3.97804i			0.139174i
$818$	−32.0946			−1.12216
$819$	9.60548	−	29.2734i	0.335643	−	1.02290i
$820$	−26.7022			−0.932480
$821$		−	15.8305i		−	0.552490i	−0.961087	−	0.276245i	$-0.910910\pi$
$821$		−	15.8305i		−	0.552490i	0.961087	−	0.276245i	$-0.0890901\pi$
$822$	6.44537	−	11.1637i	0.224808	−	0.389379i
$823$	−27.1303			−0.945703			−0.472851	−	0.881142i	$-0.656775\pi$
$823$	−27.1303			−0.945703			−0.472851	+	0.881142i	$0.656775\pi$
$824$	6.71105	+	3.87462i	0.233790	+	0.134979i
$825$	−22.5471	−	13.0176i	−0.784989	−	0.453214i
$826$	12.6116	+	6.92713i	0.438814	+	0.241026i
$827$			18.8496i			0.655464i	0.944771	+	0.327732i	$0.106284\pi$
$827$			18.8496i			0.655464i	−0.944771	+	0.327732i	$0.893716\pi$
$828$	−0.157327	−	0.272498i	−0.00546748	−	0.00946995i
$829$	−8.03188	+	13.9116i	−0.278959	+	0.483171i	−0.971126	−	0.238566i	$-0.923323\pi$
$829$	−8.03188	+	13.9116i	−0.278959	+	0.483171i	0.692168	+	0.721737i	$0.256656\pi$
$830$	38.6832	+	22.3338i	1.34271	+	0.775216i
$831$	−27.7326	+	48.0343i	−0.962034	+	1.66629i
$832$	−3.40109	−	1.19690i	−0.117912	−	0.0414949i
$833$	18.8259	+	29.6156i	0.652278	+	1.02612i
$834$	14.8778	−	8.58971i	0.515177	−	0.297437i
$835$	9.18559			0.317881
$836$	−11.6710			−0.403651
$837$	−4.09077	+	2.36181i	−0.141398	+	0.0816361i
$838$	5.92595	−	3.42135i	0.204709	−	0.118189i
$839$	5.87434	+	3.39155i	0.202805	+	0.117089i	0.597963	−	0.801524i	$-0.295977\pi$
$839$	5.87434	+	3.39155i	0.202805	+	0.117089i	−0.395158	+	0.918613i	$0.629310\pi$
$840$	−0.392312	−	18.3987i	−0.0135361	−	0.634817i
$841$	10.8573	−	18.8054i	0.374390	−	0.648463i
$842$	−13.2165			−0.455470
$843$	−19.8619	−	11.4673i	−0.684079	−	0.394953i
$844$	−6.03845	−	10.4589i	−0.207852	−	0.360010i
$845$	−13.1155	−	33.7710i	−0.451188	−	1.16176i
$846$	−31.8490			−1.09499
$847$	0.181571	+	8.51533i	0.00623884	+	0.292590i
$848$	5.13873	+	8.90055i	0.176465	+	0.305646i
$849$	−21.2855	−	36.8676i	−0.730516	−	1.26529i
$850$	12.0099	−	6.93391i	0.411936	−	0.237831i
$851$		−	0.0477042i		−	0.00163528i
$852$	12.6563	−	7.30713i	0.433598	−	0.250338i
$853$		−	12.9032i		−	0.441796i	−0.975297	−	0.220898i	$-0.929101\pi$
$853$		−	12.9032i		−	0.441796i	0.975297	−	0.220898i	$-0.0708988\pi$
$854$	6.96160	−	0.148441i	0.238221	−	0.00507954i
$855$	−13.9285	−	24.1249i	−0.476345	−	0.825053i
$856$		−	17.2469i		−	0.589486i
$857$	2.45330	+	4.24924i	0.0838032	+	0.145151i	0.904881	−	0.425665i	$-0.139960\pi$
$857$	2.45330	+	4.24924i	0.0838032	+	0.145151i	−0.821077	+	0.570817i	$0.806627\pi$
$858$	6.24945	+	33.3541i	0.213353	+	1.13869i
$859$	5.72558	−	9.91700i	0.195354	−	0.338364i	−0.751662	−	0.659548i	$-0.770748\pi$
$859$	5.72558	−	9.91700i	0.195354	−	0.338364i	0.947017	+	0.321185i	$0.104081\pi$
$860$	3.10194	−	1.79091i	0.105775	−	0.0610695i
$861$	−30.4615	+	55.4585i	−1.03812	+	1.89002i
$862$	−12.1839	+	21.1031i	−0.414984	+	0.718774i
$863$	−18.8186	−	10.8649i	−0.640592	−	0.369846i	0.144250	−	0.989541i	$-0.453923\pi$
$863$	−18.8186	−	10.8649i	−0.640592	−	0.369846i	−0.784843	+	0.619695i	$0.787256\pi$
$864$			0.573226i			0.0195015i
$865$		−	15.1764i		−	0.516012i
$866$	−16.1331	−	9.31448i	−0.548227	−	0.316519i
$867$	10.1492	−	17.5790i	0.344686	−	0.597013i
$868$	−21.7971	+	0.464776i	−0.739843	+	0.0157755i
$869$	36.2776	−	20.9449i	1.23063	−	0.710507i
$870$	9.38713	−	16.2590i	0.318254	−	0.551232i
$871$	−19.8449	−	23.1435i	−0.672420	−	0.784186i
$872$	−8.67725	−	15.0294i	−0.293849	−	0.508961i
$873$		−	20.5434i		−	0.695288i
$874$	−0.150770	−	0.261142i	−0.00509989	−	0.00883326i
$875$	−7.92902	+	14.4357i	−0.268050	+	0.488015i
$876$		−	38.2442i		−	1.29215i
$877$	14.1349	−	8.16076i	0.477300	−	0.275569i	−0.241990	−	0.970279i	$-0.577800\pi$
$877$	14.1349	−	8.16076i	0.477300	−	0.275569i	0.719291	+	0.694709i	$0.244467\pi$
$878$			4.35188i			0.146869i
$879$	55.5177	−	32.0532i	1.87257	−	1.08113i
$880$	5.25428	+	9.10068i	0.177122	+	0.306784i
$881$	−4.59758	−	7.96324i	−0.154896	−	0.268289i	0.778125	−	0.628110i	$-0.216171\pi$
$881$	−4.59758	−	7.96324i	−0.154896	−	0.268289i	−0.933021	+	0.359821i	$0.882838\pi$
$882$	−20.0428	−	10.4590i	−0.674878	−	0.352172i
$883$	44.7661			1.50650			0.753249	−	0.657735i	$-0.228485\pi$
$883$	44.7661			1.50650			0.753249	+	0.657735i	$0.228485\pi$
$884$	−17.0505	−	6.00033i	−0.573471	−	0.201813i
$885$	−18.9140	−	32.7600i	−0.635787	−	1.10122i
$886$	2.01601	+	1.16394i	0.0677291	+	0.0391034i
$887$	26.4944			0.889594			0.444797	−	0.895631i	$-0.353276\pi$
$887$	26.4944			0.889594			0.444797	+	0.895631i	$0.353276\pi$
$888$	−0.611060	+	1.05839i	−0.0205058	+	0.0355171i
$889$	−0.346268	−	16.2394i	−0.0116135	−	0.544650i
$890$	−34.5791	−	19.9643i	−1.15909	−	0.669203i
$891$	−26.9685	+	15.5703i	−0.903480	+	0.521624i
$892$	−18.6878	+	10.7894i	−0.625715	+	0.361257i
$893$	−30.5218			−1.02137
$894$	−23.6472			−0.790881
$895$	−14.5178	+	8.38183i	−0.485275	+	0.280174i
$896$	−1.27373	+	2.31897i	−0.0425523	+	0.0774713i
$897$	−0.665573	+	0.570713i	−0.0222229	+	0.0190555i
$898$	−10.0756	+	17.4514i	−0.336226	+	0.582361i
$899$	−19.2622	−	11.1210i	−0.642429	−	0.370907i
$900$	−4.46701	+	7.73709i	−0.148900	+	0.257903i
$901$	25.7617	+	44.6206i	0.858248	+	1.48653i
$902$		−	36.1309i		−	1.20303i
$903$	−0.180936	−	8.48556i	−0.00602117	−	0.282382i
$904$	−2.14334	−	1.23746i	−0.0712863	−	0.0411572i
$905$	34.3178	+	19.8134i	1.14076	+	0.658619i
$906$	−32.0985			−1.06640
$907$	16.0687	−	27.8319i	0.533554	−	0.924142i	−0.465678	−	0.884954i	$-0.654190\pi$
$907$	16.0687	−	27.8319i	0.533554	−	0.924142i	0.999232	−	0.0391879i	$-0.0124771\pi$
$908$			3.01636i			0.100101i
$909$	−31.1637			−1.03363
$910$	−26.0193	+	5.45174i	−0.862533	+	0.180723i
$911$	32.8753			1.08921			0.544603	−	0.838694i	$-0.316680\pi$
$911$	32.8753			1.08921			0.544603	+	0.838694i	$0.316680\pi$
$912$			7.72510i			0.255803i
$913$	−30.2200	+	52.3426i	−1.00014	+	1.73229i
$914$	4.00826			0.132581
$915$	−15.8536	−	9.15306i	−0.524103	−	0.302591i
$916$	10.9062	+	6.29670i	0.360351	+	0.208049i
$917$	19.9402	−	12.0864i	0.658483	−	0.399129i
$918$			2.87372i			0.0948469i
$919$	−1.48641	−	2.57454i	−0.0490321	−	0.0849262i	0.840468	−	0.541862i	$-0.182280\pi$
$919$	−1.48641	−	2.57454i	−0.0490321	−	0.0849262i	−0.889500	+	0.456936i	$0.848947\pi$
$920$	−0.135753	+	0.235131i	−0.00447565	+	0.00775205i
$921$	−41.4987	−	23.9593i	−1.36743	−	0.789485i
$922$	6.73224	−	11.6606i	0.221715	−	0.384021i
$923$	−13.7422	−	16.0263i	−0.452329	−	0.527512i
$924$	24.8955	−	0.530841i	0.819001	−	0.0174634i
$925$	−1.17301	+	0.677238i	−0.0385683	+	0.0222674i
$926$	−1.46774			−0.0482329
$927$	−25.0275			−0.822010
$928$	−2.33752	+	1.34957i	−0.0767330	+	0.0443018i
$929$	32.5418	−	18.7880i	1.06766	−	0.616414i	0.140120	−	0.990135i	$-0.455251\pi$
$929$	32.5418	−	18.7880i	1.06766	−	0.616414i	0.927541	+	0.373720i	$0.121918\pi$
$930$	49.6384	+	28.6587i	1.62771	+	0.939757i
$931$	−19.2076	−	10.0231i	−0.629504	−	0.328495i
$932$	8.64761	−	14.9781i	0.283262	−	0.490624i
$933$	16.7024			0.546811
$934$	8.67558	+	5.00885i	0.283874	+	0.163895i
$935$	26.3410	+	45.6239i	0.861443	+	1.49206i
$936$	11.4455	−	2.14451i	0.374109	−	0.0700956i
$937$	−39.5464			−1.29192			−0.645962	−	0.763369i	$-0.723544\pi$
$937$	−39.5464			−1.29192			−0.645962	+	0.763369i	$0.723544\pi$
$938$	−19.1311	+	11.5960i	−0.624654	+	0.378624i
$939$	−10.7738	−	18.6608i	−0.351590	−	0.608971i
$940$	13.7409	+	23.7999i	0.448178	+	0.776267i
$941$	−30.7432	+	17.7496i	−1.00220	+	0.578620i	−0.908898	−	0.417018i	$-0.863075\pi$
$941$	−30.7432	+	17.7496i	−1.00220	+	0.578620i	−0.0933012	+	0.995638i	$0.529742\pi$
$942$		−	5.00407i		−	0.163041i
$943$	0.808438	−	0.466752i	0.0263264	−	0.0151995i
$944$			5.43846i			0.177007i
$945$	2.19079	+	3.61437i	0.0712666	+	0.117575i
$946$	2.42329	+	4.19727i	0.0787881	+	0.136465i
$947$		−	36.6517i		−	1.19102i	−0.803348	−	0.595509i	$-0.796950\pi$
$947$		−	36.6517i		−	1.19102i	0.803348	−	0.595509i	$-0.203050\pi$
$948$	−13.8635	−	24.0123i	−0.450265	−	0.779882i
$949$	−54.3015	+	10.1743i	−1.76270	+	0.330271i
$950$	−4.28086	+	7.41467i	−0.138889	+	0.240564i
$951$	31.9846	−	18.4663i	1.03717	−	0.598810i
$952$	−6.38552	+	11.6256i	−0.206956	+	0.376786i
$953$	13.1191	−	22.7230i	0.424971	−	0.736071i	−0.571447	−	0.820639i	$-0.693618\pi$
$953$	13.1191	−	22.7230i	0.424971	−	0.736071i	0.996418	+	0.0845679i	$0.0269510\pi$
$954$	−28.7458	−	16.5964i	−0.930679	−	0.537328i
$955$			32.8553i			1.06317i
$956$		−	15.6915i		−	0.507500i
$957$	22.0002	+	12.7018i	0.711165	+	0.410591i
$958$	4.47082	−	7.74369i	0.144446	−	0.250187i
$959$	−6.57843	+	11.9768i	−0.212429	+	0.386750i
$960$	6.02377	−	3.47782i	0.194416	−	0.112246i
$961$	18.4522	−	31.9602i	0.595233	−	1.03097i
$962$	1.66533	+	0.586054i	0.0536924	+	0.0188951i
$963$	27.8508	+	48.2390i	0.897479	+	1.55448i
$964$			18.6920i			0.602029i
$965$	6.75133	+	11.6937i	0.217333	+	0.376432i
$966$	0.333486	+	0.550184i	0.0107297	+	0.0177019i
$967$			9.22945i			0.296799i	0.988927	+	0.148400i	$0.0474122\pi$
$967$			9.22945i			0.296799i	−0.988927	+	0.148400i	$0.952588\pi$
$968$	−2.78793	+	1.60961i	−0.0896075	+	0.0517349i
$969$			38.7278i			1.24412i
$970$	−15.3515	+	8.86318i	−0.492906	+	0.284580i
$971$	5.05018	+	8.74717i	0.162068	+	0.280710i	0.935610	−	0.353035i	$-0.114850\pi$
$971$	5.05018	+	8.74717i	0.162068	+	0.280710i	−0.773542	+	0.633745i	$0.781517\pi$
$972$	11.1659	+	19.3398i	0.358145	+	0.620325i
$973$	−15.5732	+	9.43946i	−0.499254	+	0.302615i
$974$	21.2809			0.681883
$975$	23.4823	+	8.26377i	0.752035	+	0.264652i
$976$	1.31592	+	2.27924i	0.0421215	+	0.0729566i
$977$	−39.8299	−	22.9958i	−1.27427	−	0.735701i	−0.298482	−	0.954415i	$-0.596480\pi$
$977$	−39.8299	−	22.9958i	−1.27427	−	0.735701i	−0.975789	+	0.218715i	$0.929814\pi$
$978$	−25.6035			−0.818709
$979$	27.0138	−	46.7893i	0.863365	−	1.49539i
$980$	0.831534	+	19.4898i	0.0265624	+	0.622580i
$981$	48.5400	+	28.0246i	1.54976	+	0.894756i
$982$	5.99247	−	3.45976i	0.191228	−	0.110405i
$983$	22.1083	−	12.7642i	0.705146	−	0.407116i	−0.104115	−	0.994565i	$-0.533201\pi$
$983$	22.1083	−	12.7642i	0.705146	−	0.407116i	0.809261	+	0.587449i	$0.199868\pi$
$984$	−23.9152			−0.762388
$985$	−16.9312			−0.539473
$986$	−11.7186	+	6.76572i	−0.373196	+	0.215465i
$987$	65.1061	−	1.38824i	2.07235	−	0.0441883i
$988$	10.9686	−	2.05515i	0.348957	−	0.0653829i
$989$	−0.0626099	+	0.108443i	−0.00199088	+	0.00344830i
$990$	−29.3921	−	16.9696i	−0.934144	−	0.539328i
$991$	22.5708	−	39.0937i	0.716984	−	1.24185i	−0.245205	−	0.969471i	$-0.578855\pi$
$991$	22.5708	−	39.0937i	0.716984	−	1.24185i	0.962189	−	0.272382i	$-0.0878113\pi$
$992$	−4.12021	−	7.13641i	−0.130817	−	0.226581i
$993$		−	1.59018i		−	0.0504628i
$994$	−13.2479	+	8.02999i	−0.420197	+	0.254696i
$995$	−13.6474	−	7.87936i	−0.432653	−	0.249792i
$996$	34.6457	+	20.0027i	1.09779	+	0.633810i
$997$	−3.67235			−0.116305			−0.0581523	−	0.998308i	$-0.518521\pi$
$997$	−3.67235			−0.116305			−0.0581523	+	0.998308i	$0.518521\pi$
$998$	10.1907	−	17.6508i	0.322580	−	0.558725i
$999$		−	0.280677i		−	0.00888023i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	182.2.o.a.23.5	✓	20
3.2	odd	2		1638.2.dt.c.1297.9		20
7.2	even	3		1274.2.m.g.491.5		20
7.3	odd	6		1274.2.v.h.361.10		20
7.4	even	3		182.2.v.a.179.6	yes	20
7.5	odd	6		1274.2.m.f.491.1		20
7.6	odd	2		1274.2.o.h.569.1		20
13.4	even	6		182.2.v.a.121.6	yes	20
21.11	odd	6		1638.2.cr.c.361.2		20
39.17	odd	6		1638.2.cr.c.667.2		20
91.4	even	6	inner	182.2.o.a.95.10	yes	20
91.17	odd	6		1274.2.o.h.459.6		20
91.30	even	6		1274.2.m.g.589.5		20
91.69	odd	6		1274.2.v.h.667.10		20
91.82	odd	6		1274.2.m.f.589.1		20
273.95	odd	6		1638.2.dt.c.1369.4		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
182.2.o.a.23.5	✓	20	1.1	even	1	trivial
182.2.o.a.95.10	yes	20	91.4	even	6	inner
182.2.v.a.121.6	yes	20	13.4	even	6
182.2.v.a.179.6	yes	20	7.4	even	3
1274.2.m.f.491.1		20	7.5	odd	6
1274.2.m.f.589.1		20	91.82	odd	6
1274.2.m.g.491.5		20	7.2	even	3
1274.2.m.g.589.5		20	91.30	even	6
1274.2.o.h.459.6		20	91.17	odd	6
1274.2.o.h.569.1		20	7.6	odd	2
1274.2.v.h.361.10		20	7.3	odd	6
1274.2.v.h.667.10		20	91.69	odd	6
1638.2.cr.c.361.2		20	21.11	odd	6
1638.2.cr.c.667.2		20	39.17	odd	6
1638.2.dt.c.1297.9		20	3.2	odd	2
1638.2.dt.c.1369.4		20	273.95	odd	6

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:	\( N \)	\(=\)	\( 182 = 2 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	182.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q-1.00000i q^{2} +(1.24796 - 2.16154i) q^{3} -1.00000 q^{4} +(-2.41344 - 1.39340i) q^{5} +(-2.16154 - 1.24796i) q^{6} +(2.31897 + 1.27373i) q^{7} +1.00000i q^{8} +(-1.61483 - 2.79697i) q^{9} +(-1.39340 + 2.41344i) q^{10} +(-3.26564 - 1.88542i) q^{11} +(-1.24796 + 2.16154i) q^{12} +(3.40109 + 1.19690i) q^{13} +(1.27373 - 2.31897i) q^{14} +(-6.02377 + 3.47782i) q^{15} +1.00000 q^{16} +5.01324 q^{17} +(-2.79697 + 1.61483i) q^{18} +(-2.68042 + 1.54754i) q^{19} +(2.41344 + 1.39340i) q^{20} +(5.64721 - 3.42297i) q^{21} +(-1.88542 + 3.26564i) q^{22} -0.0974260 q^{23} +(2.16154 + 1.24796i) q^{24} +(1.38312 + 2.39563i) q^{25} +(1.19690 - 3.40109i) q^{26} -0.573226 q^{27} +(-2.31897 - 1.27373i) q^{28} +(-1.34957 - 2.33752i) q^{29} +(3.47782 + 6.02377i) q^{30} +(7.13641 - 4.12021i) q^{31} -1.00000i q^{32} +(-8.15081 + 4.70587i) q^{33} -5.01324i q^{34} +(-3.82187 - 6.30531i) q^{35} +(1.61483 + 2.79697i) q^{36} +0.489645i q^{37} +(1.54754 + 2.68042i) q^{38} +(6.83158 - 5.85791i) q^{39} +(1.39340 - 2.41344i) q^{40} +(-8.29797 + 4.79084i) q^{41} +(-3.42297 - 5.64721i) q^{42} +(0.642640 - 1.11309i) q^{43} +(3.26564 + 1.88542i) q^{44} +9.00042i q^{45} +0.0974260i q^{46} +(8.54023 + 4.93071i) q^{47} +(1.24796 - 2.16154i) q^{48} +(3.75523 + 5.90748i) q^{49} +(2.39563 - 1.38312i) q^{50} +(6.25635 - 10.8363i) q^{51} +(-3.40109 - 1.19690i) q^{52} +(5.13873 + 8.90055i) q^{53} +0.573226i q^{54} +(5.25428 + 9.10068i) q^{55} +(-1.27373 + 2.31897i) q^{56} +7.72510i q^{57} +(-2.33752 + 1.34957i) q^{58} +5.43846i q^{59} +(6.02377 - 3.47782i) q^{60} +(1.31592 + 2.27924i) q^{61} +(-4.12021 - 7.13641i) q^{62} +(-0.182159 - 8.54295i) q^{63} -1.00000 q^{64} +(-6.54057 - 7.62771i) q^{65} +(4.70587 + 8.15081i) q^{66} +(-7.32268 - 4.22775i) q^{67} -5.01324 q^{68} +(-0.121584 + 0.210590i) q^{69} +(-6.30531 + 3.82187i) q^{70} +(-5.07078 - 2.92762i) q^{71} +(2.79697 - 1.61483i) q^{72} +(-13.2698 + 7.66130i) q^{73} +0.489645 q^{74} +6.90434 q^{75} +(2.68042 - 1.54754i) q^{76} +(-5.17141 - 8.53177i) q^{77} +(-5.85791 - 6.83158i) q^{78} +(-5.55444 + 9.62057i) q^{79} +(-2.41344 - 1.39340i) q^{80} +(4.12913 - 7.15186i) q^{81} +(4.79084 + 8.29797i) q^{82} -16.0283i q^{83} +(-5.64721 + 3.42297i) q^{84} +(-12.0992 - 6.98545i) q^{85} +(-1.11309 - 0.642640i) q^{86} -6.73686 q^{87} +(1.88542 - 3.26564i) q^{88} +14.3277i q^{89} +9.00042 q^{90} +(6.36251 + 7.10764i) q^{91} +0.0974260 q^{92} -20.5675i q^{93} +(4.93071 - 8.54023i) q^{94} +8.62535 q^{95} +(-2.16154 - 1.24796i) q^{96} +(5.50865 + 3.18042i) q^{97} +(5.90748 - 3.75523i) q^{98} +12.1785i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + 2 q^{3} - 20 q^{4} + 2 q^{7} - 16 q^{9} - 4 q^{10} - 6 q^{11} - 2 q^{12} + 6 q^{13} - 4 q^{14} - 12 q^{15} + 20 q^{16} + 20 q^{17} + 24 q^{18} - 24 q^{19} - 14 q^{21} + 2 q^{22} + 18 q^{25} + 6 q^{26}+ \cdots + 24 q^{98}+O(q^{100}) \) 20 * q + 2 * q^3 - 20 * q^4 + 2 * q^7 - 16 * q^9 - 4 * q^10 - 6 * q^11 - 2 * q^12 + 6 * q^13 - 4 * q^14 - 12 * q^15 + 20 * q^16 + 20 * q^17 + 24 * q^18 - 24 * q^19 - 14 * q^21 + 2 * q^22 + 18 * q^25 + 6 * q^26 - 28 * q^27 - 2 * q^28 + 2 * q^29 - 2 * q^30 - 6 * q^31 + 12 * q^33 + 16 * q^36 - 14 * q^38 + 22 * q^39 + 4 * q^40 + 18 * q^41 - 10 * q^42 + 8 * q^43 + 6 * q^44 + 18 * q^47 + 2 * q^48 - 6 * q^49 - 12 * q^50 - 22 * q^51 - 6 * q^52 - 4 * q^53 + 2 * q^55 + 4 * q^56 - 24 * q^58 + 12 * q^60 - 4 * q^61 - 24 * q^62 + 50 * q^63 - 20 * q^64 - 6 * q^65 + 32 * q^66 - 60 * q^67 - 20 * q^68 - 34 * q^69 - 48 * q^70 - 18 * q^71 - 24 * q^72 - 72 * q^73 - 24 * q^74 + 36 * q^75 + 24 * q^76 + 42 * q^77 + 20 * q^78 + 42 * q^79 - 2 * q^81 - 16 * q^82 + 14 * q^84 - 12 * q^85 + 42 * q^86 + 128 * q^87 - 2 * q^88 + 52 * q^90 + 14 * q^91 + 16 * q^94 + 24 * q^95 + 78 * q^97 + 24 * q^98

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