LMFDB - Embedded newform 200.2.o.a.29.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [200,2,Mod(29,200)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(200, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 5, 1]))

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

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

chi := DirichletCharacter("200.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 200 = 2^{3} \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	200.o (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.59700804043$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.12
Character	$\chi$	$=$	200.29
Dual form			200.2.o.a.69.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.532208 - 1.31025i) q^{2} +(0.235999 + 0.171463i) q^{3} +(-1.43351 + 1.39465i) q^{4} +(2.21228 - 0.325311i) q^{5} +(0.0990593 - 0.400472i) q^{6} +0.234809i q^{7} +(2.59027 + 1.13601i) q^{8} +(-0.900755 - 2.77224i) q^{9} +O(q^{10})$	\(q+(-0.532208 - 1.31025i) q^{2} +(0.235999 + 0.171463i) q^{3} +(-1.43351 + 1.39465i) q^{4} +(2.21228 - 0.325311i) q^{5} +(0.0990593 - 0.400472i) q^{6} +0.234809i q^{7} +(2.59027 + 1.13601i) q^{8} +(-0.900755 - 2.77224i) q^{9} +(-1.60363 - 2.72550i) q^{10} +(5.50105 + 1.78740i) q^{11} +(-0.577439 + 0.0833422i) q^{12} +(-0.580270 - 1.78589i) q^{13} +(0.307658 - 0.124967i) q^{14} +(0.577875 + 0.302552i) q^{15} +(0.109896 - 3.99849i) q^{16} +(-2.42773 - 3.34149i) q^{17} +(-3.15294 + 2.65562i) q^{18} +(1.59154 + 2.19056i) q^{19} +(-2.71763 + 3.55169i) q^{20} +(-0.0402612 + 0.0554147i) q^{21} +(-0.585764 - 8.15902i) q^{22} +(-2.32295 - 0.754772i) q^{23} +(0.416517 + 0.712234i) q^{24} +(4.78835 - 1.43935i) q^{25} +(-2.03113 + 1.71076i) q^{26} +(0.533191 - 1.64099i) q^{27} +(-0.327477 - 0.336601i) q^{28} +(-3.89100 + 5.35551i) q^{29} +(0.0888688 - 0.918181i) q^{30} +(-4.28302 + 3.11180i) q^{31} +(-5.29751 + 1.98404i) q^{32} +(0.991770 + 1.36505i) q^{33} +(-3.08612 + 4.95930i) q^{34} +(0.0763858 + 0.519463i) q^{35} +(5.15755 + 2.71779i) q^{36} +(-0.624829 - 1.92303i) q^{37} +(2.02316 - 3.25115i) q^{38} +(0.169271 - 0.520963i) q^{39} +(6.09995 + 1.67053i) q^{40} +(2.13805 + 6.58023i) q^{41} +(0.0940345 + 0.0232600i) q^{42} +8.04419 q^{43} +(-10.3786 + 5.10979i) q^{44} +(-2.89456 - 5.83994i) q^{45} +(0.247353 + 3.44534i) q^{46} +(-6.18554 + 8.51367i) q^{47} +(0.711530 - 0.924798i) q^{48} +6.94486 q^{49} +(-4.43431 - 5.50789i) q^{50} -1.20486i q^{51} +(3.32251 + 1.75081i) q^{52} +(-3.06610 - 2.22765i) q^{53} +(-2.43388 + 0.174737i) q^{54} +(12.7513 + 2.16467i) q^{55} +(-0.266745 + 0.608218i) q^{56} +0.789862i q^{57} +(9.08787 + 2.24794i) q^{58} +(-6.66931 + 2.16699i) q^{59} +(-1.25034 + 0.372223i) q^{60} +(-1.54958 - 0.503489i) q^{61} +(6.35669 + 3.95570i) q^{62} +(0.650947 - 0.211505i) q^{63} +(5.41896 + 5.88514i) q^{64} +(-1.86468 - 3.76211i) q^{65} +(1.26073 - 2.02596i) q^{66} +(-9.01003 + 6.54617i) q^{67} +(8.14038 + 1.40421i) q^{68} +(-0.418799 - 0.576427i) q^{69} +(0.639973 - 0.376547i) q^{70} +(2.21139 + 1.60667i) q^{71} +(0.816095 - 8.20411i) q^{72} +(-14.3832 - 4.67339i) q^{73} +(-2.18711 + 1.84213i) q^{74} +(1.37684 + 0.481340i) q^{75} +(-5.33656 - 0.920553i) q^{76} +(-0.419697 + 1.29170i) q^{77} +(-0.772679 + 0.0554733i) q^{78} +(-10.3770 - 7.53932i) q^{79} +(-1.05763 - 8.88152i) q^{80} +(-6.66742 + 4.84416i) q^{81} +(7.48385 - 6.30342i) q^{82} +(-2.55253 + 1.85452i) q^{83} +(-0.0195695 - 0.135588i) q^{84} +(-6.45784 - 6.60253i) q^{85} +(-4.28118 - 10.5399i) q^{86} +(-1.83655 + 0.596730i) q^{87} +(12.2187 + 10.8791i) q^{88} +(3.51258 - 10.8106i) q^{89} +(-6.11127 + 6.90066i) q^{90} +(0.419342 - 0.136252i) q^{91} +(4.38261 - 2.15773i) q^{92} -1.54435 q^{93} +(14.4470 + 3.57356i) q^{94} +(4.23354 + 4.32839i) q^{95} +(-1.59040 - 0.440098i) q^{96} +(4.11921 - 5.66961i) q^{97} +(-3.69611 - 9.09951i) q^{98} -16.8602i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9}+O(q^{10}) $ 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9	$ 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9} - 9 q^{10} - 5 q^{12} - 3 q^{14} - 2 q^{15} - 15 q^{16} - 10 q^{17} - 17 q^{20} - 30 q^{22} - 10 q^{23} - 16 q^{24} - 6 q^{25} - 14 q^{26} + 15 q^{28} - 33 q^{30} - 18 q^{31} - 10 q^{33} + 9 q^{34} + 41 q^{36} + 45 q^{38} - 10 q^{39} - 14 q^{40} - 10 q^{41} + 75 q^{42} - 32 q^{44} + 13 q^{46} - 10 q^{47} - 70 q^{48} - 80 q^{49} - 19 q^{50} - 100 q^{52} + 43 q^{54} - 34 q^{55} + 36 q^{56} - 30 q^{58} - 28 q^{60} + 20 q^{62} + 60 q^{63} - 36 q^{64} + 40 q^{65} + 40 q^{66} + 42 q^{70} + 22 q^{71} - 65 q^{72} - 10 q^{73} + 4 q^{74} - 36 q^{76} - 55 q^{78} + 14 q^{79} - 76 q^{80} - 6 q^{81} + 78 q^{84} - 59 q^{86} - 10 q^{87} + 110 q^{88} + 24 q^{89} + 49 q^{90} + 90 q^{92} + 45 q^{94} - 86 q^{95} + 46 q^{96} - 50 q^{97} + 90 q^{98}+O(q^{100}) $ 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9 - 9 * q^10 - 5 * q^12 - 3 * q^14 - 2 * q^15 - 15 * q^16 - 10 * q^17 - 17 * q^20 - 30 * q^22 - 10 * q^23 - 16 * q^24 - 6 * q^25 - 14 * q^26 + 15 * q^28 - 33 * q^30 - 18 * q^31 - 10 * q^33 + 9 * q^34 + 41 * q^36 + 45 * q^38 - 10 * q^39 - 14 * q^40 - 10 * q^41 + 75 * q^42 - 32 * q^44 + 13 * q^46 - 10 * q^47 - 70 * q^48 - 80 * q^49 - 19 * q^50 - 100 * q^52 + 43 * q^54 - 34 * q^55 + 36 * q^56 - 30 * q^58 - 28 * q^60 + 20 * q^62 + 60 * q^63 - 36 * q^64 + 40 * q^65 + 40 * q^66 + 42 * q^70 + 22 * q^71 - 65 * q^72 - 10 * q^73 + 4 * q^74 - 36 * q^76 - 55 * q^78 + 14 * q^79 - 76 * q^80 - 6 * q^81 + 78 * q^84 - 59 * q^86 - 10 * q^87 + 110 * q^88 + 24 * q^89 + 49 * q^90 + 90 * q^92 + 45 * q^94 - 86 * q^95 + 46 * q^96 - 50 * q^97 + 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/200\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$177$
$\chi(n)$	$-1$	$1$	$e\left(\frac{1}{10}\right)$

Coefficient data

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

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

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

$2$	−0.532208	−	1.31025i	−0.376328	−	0.926486i
$2$	−0.532208	−	1.31025i	−0.376328	−	0.926486i
$3$	0.235999	+	0.171463i	0.136254	+	0.0989945i	0.653825	−	0.756646i	$-0.273163\pi$
$3$	0.235999	+	0.171463i	0.136254	+	0.0989945i	−0.517570	+	0.855641i	$0.673163\pi$
$4$	−1.43351	+	1.39465i	−0.716754	+	0.697326i
$5$	2.21228	−	0.325311i	0.989361	−	0.145483i
$5$	2.21228	−	0.325311i	0.989361	−	0.145483i
$6$	0.0990593	−	0.400472i	0.0404408	−	0.163492i
$7$			0.234809i			0.0887494i	0.999015	+	0.0443747i	$0.0141296\pi$
$7$			0.234809i			0.0887494i	−0.999015	+	0.0443747i	$0.985870\pi$
$8$	2.59027	+	1.13601i	0.915798	+	0.401640i
$9$	−0.900755	−	2.77224i	−0.300252	−	0.924080i
$10$	−1.60363	−	2.72550i	−0.507112	−	0.861880i
$11$	5.50105	+	1.78740i	1.65863	+	0.538921i	0.980584	−	0.196099i	$-0.0628276\pi$
$11$	5.50105	+	1.78740i	1.65863	+	0.538921i	0.678045	+	0.735021i	$0.262828\pi$
$12$	−0.577439	+	0.0833422i	−0.166692	+	0.0240588i
$13$	−0.580270	−	1.78589i	−0.160938	−	0.495316i	0.837776	−	0.546014i	$-0.183855\pi$
$13$	−0.580270	−	1.78589i	−0.160938	−	0.495316i	−0.998714	+	0.0506981i	$0.983855\pi$
$14$	0.307658	−	0.124967i	0.0822252	−	0.0333989i
$15$	0.577875	+	0.302552i	0.149207	+	0.0781185i
$16$	0.109896	−	3.99849i	0.0274739	−	0.999623i
$17$	−2.42773	−	3.34149i	−0.588811	−	0.810429i	0.405815	−	0.913955i	$-0.366988\pi$
$17$	−2.42773	−	3.34149i	−0.588811	−	0.810429i	−0.994627	+	0.103526i	$0.966988\pi$
$18$	−3.15294	+	2.65562i	−0.743154	+	0.625936i
$19$	1.59154	+	2.19056i	0.365124	+	0.502550i	0.951567	−	0.307440i	$-0.0994724\pi$
$19$	1.59154	+	2.19056i	0.365124	+	0.502550i	−0.586443	+	0.809990i	$0.699472\pi$
$20$	−2.71763	+	3.55169i	−0.607679	+	0.794182i
$21$	−0.0402612	+	0.0554147i	−0.00878571	+	0.0120925i
$22$	−0.585764	−	8.15902i	−0.124885	−	1.73951i
$23$	−2.32295	−	0.754772i	−0.484369	−	0.157381i	0.0566456	−	0.998394i	$-0.481959\pi$
$23$	−2.32295	−	0.754772i	−0.484369	−	0.157381i	−0.541014	+	0.841013i	$0.681959\pi$
$24$	0.416517	+	0.712234i	0.0850211	+	0.145384i
$25$	4.78835	−	1.43935i	0.957669	−	0.287871i
$26$	−2.03113	+	1.71076i	−0.398338	+	0.335508i
$27$	0.533191	−	1.64099i	0.102613	−	0.315809i
$28$	−0.327477	−	0.336601i	−0.0618873	−	0.0636116i
$29$	−3.89100	+	5.35551i	−0.722541	+	0.994493i	0.276894	+	0.960900i	$0.410695\pi$
$29$	−3.89100	+	5.35551i	−0.722541	+	0.994493i	−0.999436	+	0.0335922i	$0.989305\pi$
$30$	0.0888688	−	0.918181i	0.0162251	−	0.167636i
$31$	−4.28302	+	3.11180i	−0.769253	+	0.558895i	−0.901734	−	0.432291i	$-0.857705\pi$
$31$	−4.28302	+	3.11180i	−0.769253	+	0.558895i	0.132482	+	0.991185i	$0.457705\pi$
$32$	−5.29751	+	1.98404i	−0.936476	+	0.350732i
$33$	0.991770	+	1.36505i	0.172645	+	0.237625i
$34$	−3.08612	+	4.95930i	−0.529266	+	0.850513i
$35$	0.0763858	+	0.519463i	0.0129116	+	0.0878052i
$36$	5.15755	+	2.71779i	0.859591	+	0.452965i
$37$	−0.624829	−	1.92303i	−0.102721	−	0.316144i	0.886468	−	0.462791i	$-0.153152\pi$
$37$	−0.624829	−	1.92303i	−0.102721	−	0.316144i	−0.989189	+	0.146647i	$0.953152\pi$
$38$	2.02316	−	3.25115i	0.328199	−	0.527406i
$39$	0.169271	−	0.520963i	0.0271051	−	0.0834208i
$40$	6.09995	+	1.67053i	0.964486	+	0.264134i
$41$	2.13805	+	6.58023i	0.333907	+	1.02766i	0.967258	+	0.253795i	$0.0816787\pi$
$41$	2.13805	+	6.58023i	0.333907	+	1.02766i	−0.633352	+	0.773864i	$0.718321\pi$
$42$	0.0940345	+	0.0232600i	0.0145098	+	0.00358910i
$43$	8.04419			1.22673			0.613364	−	0.789801i	$-0.289816\pi$
$43$	8.04419			1.22673			0.613364	+	0.789801i	$0.289816\pi$
$44$	−10.3786	+	5.10979i	−1.56463	+	0.770330i
$45$	−2.89456	−	5.83994i	−0.431495	−	0.870567i
$46$	0.247353	+	3.44534i	0.0364702	+	0.507988i
$47$	−6.18554	+	8.51367i	−0.902254	+	1.24185i	0.0674892	+	0.997720i	$0.478501\pi$
$47$	−6.18554	+	8.51367i	−0.902254	+	1.24185i	−0.969743	+	0.244126i	$0.921499\pi$
$48$	0.711530	−	0.924798i	0.102701	−	0.133483i
$49$	6.94486			0.992124
$50$	−4.43431	−	5.50789i	−0.627106	−	0.778934i
$51$		−	1.20486i		−	0.168714i
$52$	3.32251	+	1.75081i	0.460749	+	0.242794i
$53$	−3.06610	−	2.22765i	−0.421161	−	0.305991i	0.356944	−	0.934126i	$-0.383819\pi$
$53$	−3.06610	−	2.22765i	−0.421161	−	0.305991i	−0.778105	+	0.628135i	$0.783819\pi$
$54$	−2.43388	+	0.174737i	−0.331209	+	0.0237787i
$55$	12.7513	+	2.16467i	1.71939	+	0.291885i
$56$	−0.266745	+	0.608218i	−0.0356453	+	0.0812765i
$57$			0.789862i			0.104620i
$58$	9.08787	+	2.24794i	1.19330	+	0.295169i
$59$	−6.66931	+	2.16699i	−0.868270	+	0.282118i	−0.709078	−	0.705130i	$-0.750889\pi$
$59$	−6.66931	+	2.16699i	−0.868270	+	0.282118i	−0.159192	+	0.987248i	$0.550889\pi$
$60$	−1.25034	+	0.372223i	−0.161419	+	0.0480538i
$61$	−1.54958	−	0.503489i	−0.198403	−	0.0644651i	0.208130	−	0.978101i	$-0.433262\pi$
$61$	−1.54958	−	0.503489i	−0.198403	−	0.0644651i	−0.406533	+	0.913636i	$0.633262\pi$
$62$	6.35669	+	3.95570i	0.807300	+	0.502375i
$63$	0.650947	−	0.211505i	0.0820116	−	0.0266472i
$64$	5.41896	+	5.88514i	0.677370	+	0.735642i
$65$	−1.86468	−	3.76211i	−0.231286	−	0.466632i
$66$	1.26073	−	2.02596i	0.155186	−	0.249378i
$67$	−9.01003	+	6.54617i	−1.10075	+	0.799742i	−0.981182	−	0.193084i	$-0.938151\pi$
$67$	−9.01003	+	6.54617i	−1.10075	+	0.799742i	−0.119569	+	0.992826i	$0.538151\pi$
$68$	8.14038	+	1.40421i	0.987166	+	0.170286i
$69$	−0.418799	−	0.576427i	−0.0504174	−	0.0693936i
$70$	0.639973	−	0.376547i	0.0764914	−	0.0450059i
$71$	2.21139	+	1.60667i	0.262443	+	0.190676i	0.711223	−	0.702966i	$-0.248141\pi$
$71$	2.21139	+	1.60667i	0.262443	+	0.190676i	−0.448780	+	0.893642i	$0.648141\pi$
$72$	0.816095	−	8.20411i	0.0961777	−	0.966863i
$73$	−14.3832	−	4.67339i	−1.68343	−	0.546979i	−0.697857	−	0.716237i	$-0.745863\pi$
$73$	−14.3832	−	4.67339i	−1.68343	−	0.546979i	−0.985572	+	0.169258i	$0.945863\pi$
$74$	−2.18711	+	1.84213i	−0.254246	+	0.214144i
$75$	1.37684	+	0.481340i	0.158984	+	0.0555803i
$76$	−5.33656	−	0.920553i	−0.612145	−	0.105595i
$77$	−0.419697	+	1.29170i	−0.0478290	+	0.147202i
$78$	−0.772679	+	0.0554733i	−0.0874886	+	0.00628111i
$79$	−10.3770	−	7.53932i	−1.16750	−	0.848240i	−0.176795	−	0.984248i	$-0.556573\pi$
$79$	−10.3770	−	7.53932i	−1.16750	−	0.848240i	−0.990708	+	0.136008i	$0.956573\pi$
$80$	−1.05763	−	8.88152i	−0.118247	−	0.992984i
$81$	−6.66742	+	4.84416i	−0.740824	+	0.538240i
$82$	7.48385	−	6.30342i	0.826454	−	0.696097i
$83$	−2.55253	+	1.85452i	−0.280176	+	0.203560i	−0.718994	−	0.695016i	$-0.755397\pi$
$83$	−2.55253	+	1.85452i	−0.280176	+	0.203560i	0.438818	+	0.898576i	$0.355397\pi$
$84$	−0.0195695	−	0.135588i	−0.00213521	−	0.0147938i
$85$	−6.45784	−	6.60253i	−0.700451	−	0.716145i
$86$	−4.28118	−	10.5399i	−0.461652	−	1.13655i
$87$	−1.83655	+	0.596730i	−0.196899	+	0.0639762i
$88$	12.2187	+	10.8791i	1.30252	+	1.15971i
$89$	3.51258	−	10.8106i	0.372333	−	1.14592i	−0.572927	−	0.819606i	$-0.694192\pi$
$89$	3.51258	−	10.8106i	0.372333	−	1.14592i	0.945260	−	0.326317i	$-0.105808\pi$
$90$	−6.11127	+	6.90066i	−0.644184	+	0.727393i
$91$	0.419342	−	0.136252i	0.0439590	−	0.0142831i
$92$	4.38261	−	2.15773i	0.456919	−	0.224959i
$93$	−1.54435			−0.160141
$94$	14.4470	+	3.57356i	1.49010	+	0.368585i
$95$	4.23354	+	4.32839i	0.434352	+	0.444084i
$96$	−1.59040	−	0.440098i	−0.162319	−	0.0449173i
$97$	4.11921	−	5.66961i	0.418243	−	0.575661i	−0.546962	−	0.837157i	$-0.684216\pi$
$97$	4.11921	−	5.66961i	0.418243	−	0.575661i	0.965205	+	0.261496i	$0.0842158\pi$
$98$	−3.69611	−	9.09951i	−0.373364	−	0.919189i
$99$		−	16.8602i		−	1.69452i
$100$	−4.85674	+	8.74140i	−0.485674	+	0.874140i
$101$			10.9484i			1.08941i	0.838628	+	0.544704i	$0.183358\pi$
$101$			10.9484i			1.08941i	−0.838628	+	0.544704i	$0.816642\pi$
$102$	−1.57866	+	0.641234i	−0.156311	+	0.0634916i
$103$	6.88143	−	9.47147i	0.678047	−	0.933252i	−0.321861	−	0.946787i	$-0.604308\pi$
$103$	6.88143	−	9.47147i	0.678047	−	0.933252i	0.999908	+	0.0135350i	$0.00430847\pi$
$104$	0.525731	−	5.28511i	0.0515522	−	0.518248i
$105$	−0.0710419	+	0.135690i	−0.00693298	+	0.0132420i
$106$	−1.28698	+	5.20293i	−0.125002	+	0.505353i
$107$	0.352640			0.0340910			0.0170455	−	0.999855i	$-0.494574\pi$
$107$	0.352640			0.0340910			0.0170455	+	0.999855i	$0.494574\pi$
$108$	1.52428	+	3.09600i	0.146674	+	0.297912i
$109$	9.24706	−	3.00455i	0.885708	−	0.287784i	0.169382	−	0.985550i	$-0.445823\pi$
$109$	9.24706	−	3.00455i	0.885708	−	0.287784i	0.716325	+	0.697767i	$0.245823\pi$
$110$	−3.95009	−	17.8595i	−0.376626	−	1.70283i
$111$	0.182270	−	0.560968i	0.0173003	−	0.0532448i
$112$	0.938881	+	0.0258045i	0.0887159	+	0.00243829i
$113$	−0.311428	+	0.101189i	−0.0292967	+	0.00951907i	−0.323629	−	0.946184i	$-0.604903\pi$
$113$	−0.311428	+	0.101189i	−0.0292967	+	0.00951907i	0.294332	+	0.955703i	$0.404903\pi$
$114$	1.03492	−	0.420371i	0.0969288	−	0.0393714i
$115$	−5.38455	−	0.914086i	−0.502112	−	0.0852389i
$116$	−1.89128	−	13.1038i	−0.175601	−	1.21665i
$117$	−4.42822	+	3.21729i	−0.409389	+	0.297439i
$118$	6.38876	+	7.58517i	0.588133	+	0.698272i
$119$	0.784611	−	0.570053i	0.0719252	−	0.0522567i
$120$	1.15315	+	1.44016i	0.105268	+	0.131468i
$121$	18.1676	+	13.1995i	1.65160	+	1.19995i
$122$	0.165003	+	2.29830i	0.0149386	+	0.208078i
$123$	−0.623691	+	1.91953i	−0.0562364	+	0.173078i
$124$	1.79988	−	10.4341i	0.161634	−	0.937010i
$125$	10.1249	−	4.74195i	0.905600	−	0.424133i
$126$	−0.623564	−	0.740338i	−0.0555515	−	0.0659545i
$127$	−8.78610	−	2.85478i	−0.779640	−	0.253320i	−0.107954	−	0.994156i	$-0.534430\pi$
$127$	−8.78610	−	2.85478i	−0.779640	−	0.253320i	−0.671687	+	0.740835i	$0.734430\pi$
$128$	4.82698	−	10.2323i	0.426649	−	0.904417i
$129$	1.89842	+	1.37928i	0.167147	+	0.121439i
$130$	−3.93690	+	4.44543i	−0.345289	+	0.389890i
$131$	−4.46019	−	6.13893i	−0.389689	−	0.536361i	0.568430	−	0.822732i	$-0.307551\pi$
$131$	−4.46019	−	6.13893i	−0.389689	−	0.536361i	−0.958119	+	0.286371i	$0.907551\pi$
$132$	−3.32548	−	0.573644i	−0.289446	−	0.0499293i
$133$	−0.514364	+	0.373707i	−0.0446010	+	0.0324045i
$134$	13.3723	+	8.32147i	1.15519	+	0.718865i
$135$	0.645735	−	3.80379i	0.0555760	−	0.327378i
$136$	−2.49251	−	11.4133i	−0.213731	−	0.978680i
$137$	−12.5733	+	4.08531i	−1.07421	+	0.349032i	−0.792125	−	0.610358i	$-0.791025\pi$
$137$	−12.5733	+	4.08531i	−1.07421	+	0.349032i	−0.282083	+	0.959390i	$0.591025\pi$
$138$	−0.532375	+	0.855510i	−0.0453188	+	0.0728258i
$139$	−2.15160	−	0.699096i	−0.182496	−	0.0592965i	0.216343	−	0.976317i	$-0.430587\pi$
$139$	−2.15160	−	0.699096i	−0.182496	−	0.0592965i	−0.398839	+	0.917021i	$0.630587\pi$
$140$	−0.833969	−	0.638123i	−0.0704832	−	0.0539312i
$141$	−2.91957	+	0.948625i	−0.245872	+	0.0798886i
$142$	0.928216	−	3.75255i	0.0778941	−	0.314907i
$143$		−	10.8614i		−	0.908278i
$144$	−11.1838	+	3.29700i	−0.931980	+	0.274750i
$145$	−6.86578	+	13.1137i	−0.570172	+	1.08903i
$146$	1.53156	+	21.3328i	0.126753	+	1.76552i
$147$	1.63898	+	1.19079i	0.135181	+	0.0982148i
$148$	3.57765	+	1.88526i	0.294081	+	0.154967i
$149$			15.3980i			1.26145i	0.776004	+	0.630727i	$0.217243\pi$
$149$			15.3980i			1.26145i	−0.776004	+	0.630727i	$0.782757\pi$
$150$	−0.102091	−	2.06018i	−0.00833574	−	0.168213i
$151$	0.300063			0.0244187			0.0122094	−	0.999925i	$-0.496114\pi$
$151$	0.300063			0.0244187			0.0122094	+	0.999925i	$0.496114\pi$
$152$	1.63401	+	7.48215i	0.132535	+	0.606882i
$153$	−7.07661	+	9.74011i	−0.572110	+	0.787441i
$154$	1.91581	−	0.137543i	0.154380	−	0.0110835i
$155$	−8.46293	+	8.27747i	−0.679759	+	0.664862i
$156$	0.483910	+	0.982879i	0.0387438	+	0.0786933i
$157$	20.8929			1.66744			0.833719	−	0.552189i	$-0.186207\pi$
$157$	20.8929			1.66744			0.833719	+	0.552189i	$0.186207\pi$
$158$	−4.35568	+	17.6089i	−0.346519	+	1.40089i
$159$	−0.341636	−	1.05145i	−0.0270935	−	0.0833852i
$160$	−11.0741	+	6.11258i	−0.875487	+	0.483242i
$161$	0.177227	−	0.545449i	0.0139675	−	0.0429874i
$162$	9.89552	+	6.15788i	0.777465	+	0.483809i
$163$	3.86624	+	11.8991i	0.302827	+	0.932006i	0.980479	+	0.196624i	$0.0629977\pi$
$163$	3.86624	+	11.8991i	0.302827	+	0.932006i	−0.677652	+	0.735383i	$0.737002\pi$
$164$	−12.2420	−	6.45099i	−0.955942	−	0.503737i
$165$	2.63814	+	2.69725i	0.205379	+	0.209980i
$166$	3.78836	+	2.35746i	0.294034	+	0.182974i
$167$	12.6676	+	17.4355i	0.980251	+	1.34920i	0.936694	+	0.350149i	$0.113869\pi$
$167$	12.6676	+	17.4355i	0.980251	+	1.34920i	0.0435571	+	0.999051i	$0.486131\pi$
$168$	−0.167239	+	0.0978019i	−0.0129028	+	0.00754558i
$169$	7.66454	−	5.56862i	0.589580	−	0.428355i
$170$	−5.21405	+	11.9753i	−0.399899	+	0.918464i
$171$	4.63918	−	6.38529i	0.354767	−	0.488295i
$172$	−11.5314	+	11.2188i	−0.879262	+	0.855428i
$173$	−0.492423	+	1.51552i	−0.0374382	+	0.115223i	−0.968029	−	0.250838i	$-0.919294\pi$
$173$	−0.492423	+	1.51552i	−0.0374382	+	0.115223i	0.930591	+	0.366061i	$0.119294\pi$
$174$	1.75929	+	2.08875i	0.133372	+	0.158348i
$175$	0.337973	+	1.12435i	0.0255484	+	0.0849926i
$176$	7.75144	−	21.7995i	0.584287	−	1.64320i
$177$	−1.94551	−	0.632135i	−0.146234	−	0.0475142i
$178$	−16.0340	+	1.15114i	−1.20180	+	0.0862815i
$179$	6.51305	−	8.96444i	0.486808	−	0.670034i	−0.492987	−	0.870037i	$-0.664095\pi$
$179$	6.51305	−	8.96444i	0.486808	−	0.670034i	0.979795	+	0.200003i	$0.0640951\pi$
$180$	12.2941	+	4.33470i	0.916345	+	0.323090i
$181$	−11.7991	−	16.2401i	−0.877020	−	1.20711i	−0.977237	−	0.212149i	$-0.931954\pi$
$181$	−11.7991	−	16.2401i	−0.877020	−	1.20711i	0.100217	−	0.994966i	$-0.468046\pi$
$182$	−0.401702	−	0.476928i	−0.0297761	−	0.0353523i
$183$	−0.279369	−	0.384519i	−0.0206516	−	0.0284245i
$184$	−5.15963	−	4.59396i	−0.380373	−	0.338671i
$185$	−2.00788	−	4.05101i	−0.147622	−	0.297836i
$186$	0.821915	+	2.02348i	0.0602657	+	0.148369i
$187$	−7.38250	−	22.7210i	−0.539862	−	1.66152i
$188$	−3.00657	−	20.8311i	−0.219277	−	1.51926i
$189$	0.385320	+	0.125198i	0.0280279	+	0.00910682i
$190$	3.41815	−	7.85060i	0.247979	−	0.569542i
$191$	−5.85762	−	18.0279i	−0.423842	−	1.30445i	−0.904099	−	0.427324i	$-0.859456\pi$
$191$	−5.85762	−	18.0279i	−0.423842	−	1.30445i	0.480256	−	0.877128i	$-0.340544\pi$
$192$	0.269785	+	2.31804i	0.0194701	+	0.167290i
$193$			2.63353i			0.189566i	0.995498	+	0.0947828i	$0.0302157\pi$
$193$			2.63353i			0.189566i	−0.995498	+	0.0947828i	$0.969784\pi$
$194$	−9.62088	−	2.37978i	−0.690739	−	0.170859i
$195$	0.205000	−	1.20758i	0.0146804	−	0.0864766i
$196$	−9.95553	+	9.68566i	−0.711109	+	0.691833i
$197$	20.4204	+	14.8363i	1.45489	+	1.05704i	0.984658	+	0.174498i	$0.0558303\pi$
$197$	20.4204	+	14.8363i	1.45489	+	1.05704i	0.470233	+	0.882542i	$0.344170\pi$
$198$	−22.0911	+	8.97315i	−1.56995	+	0.637694i
$199$	3.97231			0.281589			0.140795	−	0.990039i	$-0.455034\pi$
$199$	3.97231			0.281589			0.140795	+	0.990039i	$0.455034\pi$
$200$	14.0382	+	1.71130i	0.992652	+	0.121007i
$201$	−3.24879			−0.229152
$202$	14.3452	−	5.82683i	1.00932	−	0.409975i
$203$	−1.25752	−	0.913642i	−0.0882607	−	0.0641251i
$204$	1.68035	+	1.72717i	0.117648	+	0.120926i
$205$	6.87057	+	13.8618i	0.479861	+	0.968147i
$206$	−16.0723	−	3.97559i	−1.11981	−	0.276993i
$207$			7.11964i			0.494849i
$208$	−7.20462	+	2.12394i	−0.499550	+	0.147269i
$209$	4.83972	+	14.8951i	0.334770	+	1.03032i
$210$	0.215597	+	0.0208672i	0.0148776	+	0.00143997i
$211$	13.9414	+	4.52984i	0.959766	+	0.311847i	0.746678	−	0.665186i	$-0.231648\pi$
$211$	13.9414	+	4.52984i	0.959766	+	0.311847i	0.213088	+	0.977033i	$0.431648\pi$
$212$	7.50207	−	1.08278i	0.515244	−	0.0743656i
$213$	0.246401	+	0.758344i	0.0168831	+	0.0519609i
$214$	−0.187678	−	0.462047i	−0.0128294	−	0.0315849i
$215$	17.7960	−	2.61686i	1.21368	−	0.178468i
$216$	3.24529	−	3.64490i	0.220814	−	0.248004i
$217$	−0.730677	−	1.00569i	−0.0496016	−	0.0682708i
$218$	−8.85807	−	10.5169i	−0.599944	−	0.712295i
$219$	−2.59311	−	3.56911i	−0.175226	−	0.241178i
$220$	−21.2981	+	14.6805i	−1.43592	+	0.989762i
$221$	−4.55877	+	6.27461i	−0.306656	+	0.422076i
$222$	−0.832014	+	0.0597331i	−0.0558411	+	0.00400903i
$223$	−16.2169	−	5.26920i	−1.08597	−	0.352852i	−0.289280	−	0.957245i	$-0.593416\pi$
$223$	−16.2169	−	5.26920i	−1.08597	−	0.352852i	−0.796686	+	0.604393i	$0.793416\pi$
$224$	−0.465870	−	1.24390i	−0.0311272	−	0.0831117i
$225$	−8.30336	−	11.9779i	−0.553557	−	0.798529i
$226$	0.298328	+	0.354195i	0.0198445	+	0.0235607i
$227$	−4.52341	+	13.9216i	−0.300229	+	0.924011i	0.681185	+	0.732111i	$0.261465\pi$
$227$	−4.52341	+	13.9216i	−0.300229	+	0.924011i	−0.981414	+	0.191900i	$0.938535\pi$
$228$	−1.10158	−	1.13227i	−0.0729541	−	0.0749867i
$229$	3.58252	−	4.93092i	0.236740	−	0.325844i	−0.674072	−	0.738665i	$-0.735456\pi$
$229$	3.58252	−	4.93092i	0.236740	−	0.325844i	0.910812	+	0.412821i	$0.135456\pi$
$230$	1.66802	+	7.54158i	0.109986	+	0.497277i
$231$	−0.320527	+	0.232876i	−0.0210891	+	0.0153221i
$232$	−16.1626	+	9.45197i	−1.06113	+	0.620552i
$233$	4.19480	+	5.77365i	0.274811	+	0.378244i	0.924006	−	0.382377i	$-0.124894\pi$
$233$	4.19480	+	5.77365i	0.274811	+	0.378244i	−0.649196	+	0.760621i	$0.724894\pi$
$234$	6.57219	+	4.08981i	0.429638	+	0.267359i
$235$	−10.9146	+	20.8468i	−0.711987	+	1.35990i
$236$	6.53832	−	12.4078i	0.425608	−	0.807676i
$237$	−1.15624	−	3.55855i	−0.0751060	−	0.231153i
$238$	−1.16449	−	0.724649i	−0.0754826	−	0.0469720i
$239$	−1.65706	+	5.09989i	−0.107186	+	0.329885i	−0.990237	−	0.139392i	$-0.955485\pi$
$239$	−1.65706	+	5.09989i	−0.107186	+	0.329885i	0.883051	+	0.469276i	$0.155485\pi$
$240$	1.27326	−	2.27738i	0.0821883	−	0.147004i
$241$	−0.583541	−	1.79595i	−0.0375892	−	0.115688i	0.930501	−	0.366289i	$-0.119372\pi$
$241$	−0.583541	−	1.79595i	−0.0375892	−	0.115688i	−0.968090	+	0.250601i	$0.919372\pi$
$242$	7.62572	−	30.8289i	0.490200	−	1.98176i
$243$	−7.58043			−0.486285
$244$	2.92353	−	1.43937i	0.187160	−	0.0921460i
$245$	15.3640	−	2.25924i	0.981568	−	0.144337i
$246$	2.84699	−	0.204395i	0.181518	−	0.0130318i
$247$	2.98858	−	4.11342i	0.190159	−	0.261731i
$248$	−14.6292	+	3.19483i	−0.928954	+	0.202872i
$249$	−0.920377			−0.0583265
$250$	−11.6017	−	10.7425i	−0.733756	−	0.679413i
$251$		−	4.55040i		−	0.287219i	−0.989634	−	0.143609i	$-0.954129\pi$
$251$		−	4.55040i		−	0.287219i	0.989634	−	0.143609i	$-0.0458709\pi$
$252$	−0.638161	+	1.21104i	−0.0402004	+	0.0762882i
$253$	−11.4296	−	8.30408i	−0.718572	−	0.522073i
$254$	0.935563	+	13.0313i	0.0587025	+	0.817658i
$255$	−0.391952	−	2.66547i	−0.0245450	−	0.166919i
$256$	−15.9758	−	0.878833i	−0.998490	−	0.0549271i
$257$		−	6.99079i		−	0.436074i	−0.975941	−	0.218037i	$-0.930035\pi$
$257$		−	6.99079i		−	0.436074i	0.975941	−	0.218037i	$-0.0699653\pi$
$258$	0.796851	−	3.22147i	0.0496098	−	0.200560i
$259$	0.451544	−	0.146716i	0.0280576	−	0.00911646i
$260$	7.91987	+	2.79243i	0.491170	+	0.173179i
$261$	18.3516	+	5.96279i	1.13593	+	0.369088i
$262$	−5.66978	+	9.11115i	−0.350280	+	0.562889i
$263$	21.5131	−	6.99005i	1.32656	−	0.431025i	0.441816	−	0.897106i	$-0.354335\pi$
$263$	21.5131	−	6.99005i	1.32656	−	0.431025i	0.884742	+	0.466081i	$0.154335\pi$
$264$	1.01823	+	4.66251i	0.0626679	+	0.286958i
$265$	−7.50773	−	3.93075i	−0.461196	−	0.241464i
$266$	0.763399	+	0.475055i	0.0468070	+	0.0291275i
$267$	2.68259	−	1.94902i	0.164172	−	0.119278i
$268$	3.78634	−	21.9499i	0.231287	−	1.34080i
$269$	−3.68963	−	5.07835i	−0.224961	−	0.309632i	0.681585	−	0.731739i	$-0.261291\pi$
$269$	−3.68963	−	5.07835i	−0.224961	−	0.309632i	−0.906546	+	0.422106i	$0.861291\pi$
$270$	−5.32758	+	1.17833i	−0.324226	+	0.0717111i
$271$	−2.75055	−	1.99839i	−0.167084	−	0.121393i	0.501101	−	0.865389i	$-0.332928\pi$
$271$	−2.75055	−	1.99839i	−0.167084	−	0.121393i	−0.668185	+	0.743995i	$0.732928\pi$
$272$	−13.6277	+	9.34005i	−0.826300	+	0.566323i
$273$	0.122327	+	0.0397464i	0.00740355	+	0.00240556i
$274$	12.0444	+	14.2999i	0.727628	+	0.863890i
$275$	28.9136	+	0.640726i	1.74356	+	0.0386372i
$276$	1.40427	+	0.242235i	0.0845269	+	0.0145808i
$277$	7.95552	−	24.4846i	0.478001	−	1.47114i	−0.363867	−	0.931451i	$-0.618544\pi$
$277$	7.95552	−	24.4846i	0.478001	−	1.47114i	0.841868	−	0.539684i	$-0.181456\pi$
$278$	0.229107	+	3.19119i	0.0137409	+	0.191395i
$279$	12.4846	+	9.07059i	0.747433	+	0.543042i
$280$	−0.392255	+	1.43232i	−0.0234417	+	0.0855976i
$281$	−3.16034	+	2.29612i	−0.188530	+	0.136975i	−0.678047	−	0.735019i	$-0.737173\pi$
$281$	−3.16034	+	2.29612i	−0.188530	+	0.136975i	0.489517	+	0.871994i	$0.337173\pi$
$282$	2.79675	+	3.32050i	0.166544	+	0.197733i
$283$	−1.03911	+	0.754960i	−0.0617689	+	0.0448777i	−0.618241	−	0.785988i	$-0.712155\pi$
$283$	−1.03911	+	0.754960i	−0.0617689	+	0.0448777i	0.556472	+	0.830866i	$0.312155\pi$
$284$	−5.41078	+	0.780942i	−0.321071	+	0.0463404i
$285$	0.256951	+	1.74739i	0.0152204	+	0.103507i
$286$	−14.2312	+	5.78054i	−0.841507	+	0.341810i
$287$	−1.54510	+	0.502032i	−0.0912041	+	0.0296340i
$288$	10.2720	+	12.8988i	0.605283	+	0.760071i
$289$	−0.0183581	+	0.0565005i	−0.00107989	+	0.00332356i
$290$	20.8362	+	2.01669i	1.22354	+	0.118424i
$291$	1.94426	−	0.631729i	0.113975	−	0.0370326i
$292$	27.1362	−	13.3602i	1.58803	−	0.781848i
$293$	−8.55020			−0.499508			−0.249754	−	0.968309i	$-0.580350\pi$
$293$	−8.55020			−0.499508			−0.249754	+	0.968309i	$0.580350\pi$
$294$	0.687953	−	2.78123i	0.0401222	−	0.162204i
$295$	−14.0494	+	6.96358i	−0.817989	+	0.405435i
$296$	0.566103	−	5.69096i	0.0329041	−	0.330781i
$297$	5.86622	−	8.07416i	0.340393	−	0.468510i
$298$	20.1753	−	8.19495i	1.16872	−	0.474721i
$299$			4.58650i			0.265244i
$300$	−2.64502	+	1.23021i	−0.152710	+	0.0710262i
$301$			1.88885i			0.108871i
$302$	−0.159696	−	0.393157i	−0.00918946	−	0.0226236i
$303$	−1.87725	+	2.58382i	−0.107845	+	0.148436i
$304$	8.93385	−	6.12302i	0.512392	−	0.351179i
$305$	−3.59189	−	0.609762i	−0.205671	−	0.0349149i
$306$	16.5282	+	4.08835i	0.944855	+	0.233716i
$307$	−11.0920			−0.633052			−0.316526	−	0.948584i	$-0.602517\pi$
$307$	−11.0920			−0.633052			−0.316526	+	0.948584i	$0.602517\pi$
$308$	−1.19983	−	2.43699i	−0.0683664	−	0.138860i
$309$	3.24802	−	1.05535i	0.184774	−	0.0600366i
$310$	15.3496	+	6.68321i	0.871798	+	0.379581i
$311$	9.28886	−	28.5882i	0.526723	−	1.62109i	−0.234160	−	0.972198i	$-0.575234\pi$
$311$	9.28886	−	28.5882i	0.526723	−	1.62109i	0.760883	−	0.648889i	$-0.224766\pi$
$312$	1.03028	−	1.15714i	0.0583279	−	0.0655101i
$313$	0.0349980	−	0.0113715i	0.00197820	−	0.000642758i	−0.308028	−	0.951377i	$-0.599669\pi$
$313$	0.0349980	−	0.0113715i	0.00197820	−	0.000642758i	0.310006	+	0.950735i	$0.399669\pi$
$314$	−11.1194	−	27.3750i	−0.627504	−	1.54486i
$315$	1.37127	−	0.679668i	0.0772623	−	0.0382950i
$316$	25.3902	−	3.66459i	1.42831	−	0.206149i
$317$	−13.1594	+	9.56085i	−0.739104	+	0.536991i	−0.892431	−	0.451185i	$-0.851002\pi$
$317$	−13.1594	+	9.56085i	−0.739104	+	0.536991i	0.153326	+	0.988176i	$0.451002\pi$
$318$	−1.19584	+	1.00722i	−0.0670592	+	0.0564819i
$319$	−30.9770	+	22.5061i	−1.73438	+	1.26010i
$320$	13.9027	+	11.2567i	0.777187	+	0.629269i
$321$	0.0832228	+	0.0604649i	0.00464505	+	0.00337482i
$322$	−0.808997	+	0.0580807i	−0.0450836	+	0.00323671i
$323$	3.45591	−	10.6362i	0.192292	−	0.591814i
$324$	2.80189	−	16.2429i	0.155660	−	0.902382i
$325$	−5.34905	−	7.71623i	−0.296712	−	0.428019i
$326$	13.5331	−	11.3985i	0.749529	−	0.631305i
$327$	2.69747	+	0.876461i	0.149170	+	0.0484684i
$328$	−1.93710	+	19.4734i	−0.106958	+	1.07524i
$329$	−1.99909	−	1.45242i	−0.110213	−	0.0800746i
$330$	2.13003	−	4.89211i	0.117254	−	0.269302i
$331$	−13.3539	−	18.3800i	−0.733995	−	1.01026i	−0.998942	−	0.0459939i	$-0.985355\pi$
$331$	−13.3539	−	18.3800i	−0.733995	−	1.01026i	0.264947	−	0.964263i	$-0.414645\pi$
$332$	1.07266	−	6.21836i	0.0588700	−	0.341277i
$333$	−4.76827	+	3.46435i	−0.261300	+	0.189845i
$334$	16.1030	−	25.8771i	0.881120	−	1.41593i
$335$	−17.8032	+	17.4130i	−0.972691	+	0.951375i
$336$	0.217151	+	0.167074i	0.0118465	+	0.00911462i
$337$	17.8926	−	5.81367i	0.974674	−	0.316691i	0.221972	−	0.975053i	$-0.428751\pi$
$337$	17.8926	−	5.81367i	0.974674	−	0.316691i	0.752701	+	0.658362i	$0.228751\pi$
$338$	−11.3754	−	7.07880i	−0.618741	−	0.385036i
$339$	−0.0908470	−	0.0295180i	−0.00493413	−	0.00160320i
$340$	18.4656	+	0.458352i	1.00144	+	0.0248576i
$341$	−29.1231	+	9.46267i	−1.57711	+	0.512433i
$342$	−10.8353	−	2.68019i	−0.585908	−	0.144928i
$343$			3.27438i			0.176800i
$344$	20.8366	+	9.13828i	1.12343	+	0.492703i
$345$	−1.11402	−	1.13898i	−0.0599766	−	0.0613204i
$346$	2.24778	−	0.161376i	0.120842	−	0.00867564i
$347$	23.8972	+	17.3624i	1.28287	+	0.932060i	0.999636	−	0.0269903i	$-0.00859232\pi$
$347$	23.8972	+	17.3624i	1.28287	+	0.932060i	0.283235	+	0.959051i	$0.408592\pi$
$348$	1.80048	−	3.41676i	0.0965157	−	0.183158i
$349$			15.7634i			0.843797i	0.906643	+	0.421898i	$0.138636\pi$
$349$			15.7634i			0.843797i	−0.906643	+	0.421898i	$0.861364\pi$
$350$	1.29330	−	1.04122i	0.0691299	−	0.0556553i
$351$	−3.24002			−0.172940
$352$	−32.6881	+	1.44553i	−1.74228	+	0.0770471i
$353$	−4.79864	+	6.60477i	−0.255406	+	0.351536i	−0.917395	−	0.397977i	$-0.869712\pi$
$353$	−4.79864	+	6.60477i	−0.255406	+	0.351536i	0.661989	+	0.749513i	$0.269712\pi$
$354$	0.207162	+	2.88553i	0.0110106	+	0.153364i
$355$	5.41486	+	2.83500i	0.287391	+	0.150466i
$356$	10.0417	+	20.3960i	0.532210	+	1.08098i
$357$	0.282911			0.0149732
$358$	−15.2120	−	3.76277i	−0.803977	−	0.198869i
$359$	−9.42480	−	29.0065i	−0.497422	−	1.53091i	−0.813148	−	0.582056i	$-0.802248\pi$
$359$	−9.42480	−	29.0065i	−0.497422	−	1.53091i	0.315727	−	0.948850i	$-0.397752\pi$
$360$	−0.863453	−	18.4152i	−0.0455080	−	0.970569i
$361$	3.60574	−	11.0973i	0.189776	−	0.584071i
$362$	−14.9990	+	24.1029i	−0.788328	+	1.26682i
$363$	2.02430	+	6.23015i	0.106248	+	0.326998i
$364$	−0.411106	+	0.780155i	−0.0215478	+	0.0408912i
$365$	−33.3400	−	5.65983i	−1.74509	−	0.296249i
$366$	−0.355133	+	0.570688i	−0.0185631	+	0.0298303i
$367$	−4.40881	−	6.06821i	−0.230138	−	0.316758i	0.678294	−	0.734791i	$-0.262720\pi$
$367$	−4.40881	−	6.06821i	−0.230138	−	0.316758i	−0.908432	+	0.418033i	$0.862720\pi$
$368$	−3.27323	+	9.20535i	−0.170629	+	0.479862i
$369$	16.3161	−	11.8543i	0.849383	−	0.617113i
$370$	−4.23922	+	4.78680i	−0.220387	+	0.248854i
$371$	0.523072	−	0.719947i	0.0271565	−	0.0373778i
$372$	2.21384	−	2.15383i	0.114782	−	0.111671i
$373$	3.94238	−	12.1334i	0.204129	−	0.628243i	−0.795619	−	0.605797i	$-0.792854\pi$
$373$	3.94238	−	12.1334i	0.204129	−	0.628243i	0.999748	−	0.0224465i	$-0.00714553\pi$
$374$	−25.8412	+	21.7652i	−1.33621	+	1.12545i
$375$	3.20254	+	0.616956i	0.165379	+	0.0318595i
$376$	−25.6938	+	15.0258i	−1.32506	+	0.774898i
$377$	11.8222	+	3.84125i	0.608872	+	0.197834i
$378$	−0.0410297	−	0.571497i	−0.00211034	−	0.0293946i
$379$	−7.20040	+	9.91051i	−0.369860	+	0.509069i	−0.952863	−	0.303402i	$-0.901878\pi$
$379$	−7.20040	+	9.91051i	−0.369860	+	0.509069i	0.583003	+	0.812470i	$0.301878\pi$
$380$	−12.1054	−	0.300480i	−0.620995	−	0.0154143i
$381$	−1.58402	−	2.18022i	−0.0811519	−	0.111696i
$382$	−20.5036	+	17.2695i	−1.04905	+	0.883586i
$383$	15.8262	+	21.7829i	0.808681	+	1.11305i	0.991525	+	0.129912i	$0.0414696\pi$
$383$	15.8262	+	21.7829i	0.808681	+	1.11305i	−0.182844	+	0.983142i	$0.558530\pi$
$384$	2.89363	−	1.58717i	0.147665	−	0.0809948i
$385$	−0.508285	+	2.99412i	−0.0259046	+	0.152595i
$386$	3.45058	−	1.40159i	0.175630	−	0.0713388i
$387$	−7.24584	−	22.3004i	−0.368327	−	1.13359i
$388$	2.00220	+	13.8723i	0.101646	+	0.704259i
$389$	−9.06656	−	2.94590i	−0.459693	−	0.149363i	0.0700104	−	0.997546i	$-0.477697\pi$
$389$	−9.06656	−	2.94590i	−0.459693	−	0.149363i	−0.529703	+	0.848183i	$0.677697\pi$
$390$	−1.69133	+	0.374083i	−0.0856440	+	0.0189424i
$391$	3.11744	+	9.59449i	0.157656	+	0.485214i
$392$	17.9891	+	7.88944i	0.908584	+	0.398477i
$393$		−	2.21354i		−	0.111658i
$394$	8.57133	−	34.6518i	0.431817	−	1.74573i
$395$	−25.4094	−	13.3033i	−1.27849	−	0.669363i
$396$	23.5141	+	24.1693i	1.18163	+	1.21455i
$397$	−18.8253	−	13.6774i	−0.944816	−	0.686449i	0.00475885	−	0.999989i	$-0.498485\pi$
$397$	−18.8253	−	13.6774i	−0.944816	−	0.686449i	−0.949575	+	0.313539i	$0.898485\pi$
$398$	−2.11409	−	5.20471i	−0.105970	−	0.260889i
$399$	−0.185467			−0.00928495
$400$	−5.22903	−	19.3043i	−0.261451	−	0.965217i
$401$	12.2917			0.613820			0.306910	−	0.951739i	$-0.400705\pi$
$401$	12.2917			0.613820			0.306910	+	0.951739i	$0.400705\pi$
$402$	1.72903	+	4.25673i	0.0862363	+	0.212306i
$403$	8.04262	+	5.84330i	0.400631	+	0.291076i
$404$	−15.2692	−	15.6946i	−0.759672	−	0.780838i
$405$	−13.1743	+	12.8856i	−0.654637	+	0.640291i
$406$	−0.527837	+	2.13391i	−0.0261961	+	0.105904i
$407$		−	11.6955i		−	0.579724i
$408$	1.36873	−	3.12090i	0.0677621	−	0.154507i
$409$	9.76563	+	30.0555i	0.482879	+	1.48615i	0.835029	+	0.550206i	$0.185451\pi$
$409$	9.76563	+	30.0555i	0.482879	+	1.48615i	−0.352150	+	0.935944i	$0.614549\pi$
$410$	14.5058	−	16.3795i	0.716390	−	0.808926i
$411$	−3.66777	−	1.19173i	−0.180918	−	0.0587837i
$412$	3.34481	+	23.1746i	0.164787	+	1.14173i
$413$	−0.508829	−	1.56601i	−0.0250378	−	0.0770585i
$414$	9.32850	−	3.78913i	0.458471	−	0.186226i
$415$	−5.04361	+	4.93308i	−0.247581	+	0.242155i
$416$	6.61725	+	8.30947i	0.324437	+	0.407405i
$417$	−0.387905	−	0.533906i	−0.0189958	−	0.0261455i
$418$	16.9406	−	14.2685i	0.828591	−	0.697897i
$419$	5.07417	+	6.98399i	0.247889	+	0.341190i	0.914771	−	0.403973i	$-0.132371\pi$
$419$	5.07417	+	6.98399i	0.247889	+	0.341190i	−0.666881	+	0.745164i	$0.732371\pi$
$420$	−0.0874013	−	0.293592i	−0.00426475	−	0.0143258i
$421$	7.53026	−	10.3645i	0.367002	−	0.505135i	−0.585081	−	0.810975i	$-0.698937\pi$
$421$	7.53026	−	10.3645i	0.367002	−	0.505135i	0.952083	+	0.305840i	$0.0989371\pi$
$422$	−1.48451	−	20.6775i	−0.0722649	−	1.00657i
$423$	29.1736	+	9.47907i	1.41847	+	0.460888i
$424$	−5.41138	−	9.25332i	−0.262800	−	0.449381i
$425$	−16.4344	−	12.5058i	−0.797186	−	0.606622i
$426$	0.862483	−	0.726443i	0.0417874	−	0.0351963i
$427$	0.118224	−	0.363855i	0.00572124	−	0.0176082i
$428$	−0.505513	+	0.491810i	−0.0244349	+	0.0237725i
$429$	1.86234	−	2.56329i	0.0899145	−	0.123757i
$430$	−12.8999	−	21.9245i	−0.622089	−	1.05729i
$431$	−24.3298	+	17.6766i	−1.17193	+	0.851454i	−0.991238	−	0.132087i	$-0.957832\pi$
$431$	−24.3298	+	17.6766i	−1.17193	+	0.851454i	−0.180688	+	0.983541i	$0.557832\pi$
$432$	−6.50290	−	2.31230i	−0.312871	−	0.111251i
$433$	−0.945079	−	1.30079i	−0.0454176	−	0.0625120i	0.785704	−	0.618602i	$-0.212301\pi$
$433$	−0.945079	−	1.30079i	−0.0454176	−	0.0625120i	−0.831122	+	0.556090i	$0.812301\pi$
$434$	−0.928834	+	1.49261i	−0.0445855	+	0.0716474i
$435$	−3.86883	+	1.91758i	−0.185496	+	0.0919410i
$436$	−9.06544	+	17.2035i	−0.434156	+	0.823897i
$437$	−2.04369	−	6.28982i	−0.0977628	−	0.300883i
$438$	−3.29636	+	5.29714i	−0.157506	+	0.253107i
$439$	−11.7350	+	36.1165i	−0.560079	+	1.72374i	0.122061	+	0.992523i	$0.461050\pi$
$439$	−11.7350	+	36.1165i	−0.560079	+	1.72374i	−0.682139	+	0.731222i	$0.738950\pi$
$440$	30.5702	+	20.0927i	1.45738	+	0.957882i
$441$	−6.25562	−	19.2528i	−0.297887	−	0.916801i
$442$	10.6475	+	2.63373i	0.506451	+	0.125274i
$443$	19.5670			0.929654			0.464827	−	0.885402i	$-0.346117\pi$
$443$	19.5670			0.929654			0.464827	+	0.885402i	$0.346117\pi$
$444$	0.521070	+	1.05836i	0.0247289	+	0.0502273i
$445$	4.25400	−	25.0588i	0.201659	−	1.18790i
$446$	1.72681	+	24.0525i	0.0817670	+	1.13892i
$447$	−2.64020	+	3.63392i	−0.124877	+	0.171879i
$448$	−1.38188	+	1.27242i	−0.0652878	+	0.0601162i
$449$	−33.2573			−1.56951			−0.784755	−	0.619806i	$-0.787211\pi$
$449$	−33.2573			−1.56951			−0.784755	+	0.619806i	$0.787211\pi$
$450$	−11.2750	+	17.2542i	−0.531507	+	0.813372i
$451$			40.0197i			1.88445i
$452$	0.305311	−	0.579389i	0.0143606	−	0.0272522i
$453$	0.0708145	+	0.0514498i	0.00332716	+	0.00241732i
$454$	20.6482	−	1.48241i	0.969069	−	0.0695728i
$455$	0.883377	−	0.437845i	0.0414133	−	0.0205265i
$456$	−0.897291	+	2.04595i	−0.0420195	+	0.0958106i
$457$		−	15.5897i		−	0.729254i	−0.931154	−	0.364627i	$-0.881197\pi$
$457$		−	15.5897i		−	0.729254i	0.931154	−	0.364627i	$-0.118803\pi$
$458$	−8.36739	−	2.06972i	−0.390982	−	0.0967119i
$459$	−6.77780	+	2.20224i	−0.316361	+	0.102792i
$460$	8.99363	−	6.19921i	0.419330	−	0.289040i
$461$	−5.51241	−	1.79109i	−0.256739	−	0.0834194i	0.177820	−	0.984063i	$-0.443096\pi$
$461$	−5.51241	−	1.79109i	−0.256739	−	0.0834194i	−0.434558	+	0.900644i	$0.643096\pi$
$462$	0.475713	+	0.296032i	0.0221322	+	0.0137726i
$463$	−11.3046	+	3.67309i	−0.525370	+	0.170703i	−0.559681	−	0.828708i	$-0.689076\pi$
$463$	−11.3046	+	3.67309i	−0.525370	+	0.170703i	0.0343111	+	0.999411i	$0.489076\pi$
$464$	20.9863	+	16.1467i	0.974266	+	0.749591i
$465$	−3.41653	+	0.502393i	−0.158438	+	0.0232979i
$466$	5.33242	−	8.56902i	0.247019	−	0.396952i
$467$	−20.1818	+	14.6630i	−0.933903	+	0.678521i	−0.946945	−	0.321394i	$-0.895848\pi$
$467$	−20.1818	+	14.6630i	−0.933903	+	0.678521i	0.0130420	+	0.999915i	$0.495848\pi$
$468$	1.86090	−	10.7878i	0.0860199	−	0.498668i
$469$	−1.53710	−	2.11564i	−0.0709767	−	0.0976910i
$470$	33.1234	+	3.20594i	1.52787	+	0.147879i
$471$	4.93072	+	3.58238i	0.227196	+	0.165067i
$472$	−19.7370	−	1.96332i	−0.908470	−	0.0903691i
$473$	44.2515	+	14.3782i	2.03468	+	0.661109i
$474$	−4.04723	+	3.40886i	−0.185895	+	0.156574i
$475$	10.7738	+	8.19839i	0.494337	+	0.376168i
$476$	−0.329721	+	1.91143i	−0.0151127	+	0.0876105i
$477$	−3.41377	+	10.5065i	−0.156306	+	0.481060i
$478$	7.56403	−	0.543048i	0.345971	−	0.0248384i
$479$	12.4287	+	9.02994i	0.567880	+	0.412589i	0.834334	−	0.551259i	$-0.185852\pi$
$479$	12.4287	+	9.02994i	0.567880	+	0.412589i	−0.266455	+	0.963847i	$0.585852\pi$
$480$	−3.66157	−	0.456245i	−0.167127	−	0.0208246i
$481$	−3.07174	+	2.23175i	−0.140059	+	0.101759i
$482$	−2.04258	+	1.72041i	−0.0930372	+	0.0783624i
$483$	0.135350	−	0.0983377i	0.00615865	−	0.00447452i
$484$	−44.4521	+	6.41580i	−2.02055	+	0.291627i
$485$	7.26846	−	13.8828i	0.330044	−	0.630384i
$486$	4.03437	+	9.93226i	0.183003	+	0.450536i
$487$	21.4527	−	6.97042i	0.972117	−	0.315860i	0.220447	−	0.975399i	$-0.429249\pi$
$487$	21.4527	−	6.97042i	0.972117	−	0.315860i	0.751670	+	0.659539i	$0.229249\pi$
$488$	−3.44185	−	3.06451i	−0.155805	−	0.138724i
$489$	−1.12782	+	3.47109i	−0.0510020	+	0.156968i
$490$	−11.1370	−	18.9283i	−0.503118	−	0.855091i
$491$	−7.25634	+	2.35773i	−0.327474	+	0.106403i	−0.468140	−	0.883654i	$-0.655076\pi$
$491$	−7.25634	+	2.35773i	−0.327474	+	0.106403i	0.140666	+	0.990057i	$0.455076\pi$
$492$	−1.78300	−	3.62149i	−0.0803839	−	0.163269i
$493$	27.3417			1.23141
$494$	−6.98016	−	1.72658i	−0.314052	−	0.0776827i
$495$	−5.48481	−	37.2995i	−0.246524	−	1.67649i
$496$	11.9718	+	17.4676i	0.537550	+	0.784317i
$497$	−0.377259	+	0.519253i	−0.0169224	+	0.0232917i
$498$	0.489832	+	1.20592i	0.0219499	+	0.0540387i
$499$		−	26.9689i		−	1.20729i	−0.797252	−	0.603647i	$-0.793714\pi$
$499$		−	26.9689i		−	1.20729i	0.797252	−	0.603647i	$-0.206286\pi$
$500$	−7.90079	+	20.9184i	−0.353334	+	0.935497i
$501$			6.28680i			0.280874i
$502$	−5.96216	+	2.42176i	−0.266104	+	0.108088i
$503$	−18.0952	+	24.9059i	−0.806825	+	1.11050i	0.184980	+	0.982742i	$0.440778\pi$
$503$	−18.0952	+	24.9059i	−0.806825	+	1.11050i	−0.991805	+	0.127757i	$0.959222\pi$
$504$	1.92640	+	0.191626i	0.0858086	+	0.00853572i
$505$	3.56163	+	24.2209i	0.158491	+	1.07782i
$506$	−4.79750	+	19.3951i	−0.213275	+	0.862218i
$507$	2.76364			0.122738
$508$	16.5764	−	8.16120i	0.735458	−	0.362095i
$509$	3.29675	−	1.07118i	0.146126	−	0.0474792i	−0.235041	−	0.971986i	$-0.575522\pi$
$509$	3.29675	−	1.07118i	0.146126	−	0.0474792i	0.381167	+	0.924506i	$0.375522\pi$
$510$	−3.28384	+	1.93214i	−0.145411	+	0.0855567i
$511$	1.09735	−	3.37731i	0.0485441	−	0.149403i
$512$	7.35098	+	21.4001i	0.324871	+	0.945758i
$513$	4.44330	−	1.44371i	0.196176	−	0.0637416i
$514$	−9.15968	+	3.72056i	−0.404016	+	0.164107i
$515$	12.1425	−	23.1921i	0.535061	−	1.02197i
$516$	−4.64503	+	0.670420i	−0.204486	+	0.0295136i
$517$	−49.2443	+	35.7781i	−2.16576	+	1.57352i
$518$	−0.432549	−	0.513552i	−0.0190051	−	0.0225642i
$519$	−0.376068	+	0.273229i	−0.0165076	+	0.0119934i
$520$	−0.556239	−	11.8632i	−0.0243927	−	0.520234i
$521$	−32.2980	−	23.4659i	−1.41500	−	1.02806i	−0.992571	−	0.121663i	$-0.961177\pi$
$521$	−32.2980	−	23.4659i	−1.41500	−	1.02806i	−0.422430	−	0.906395i	$-0.638823\pi$
$522$	−1.95412	−	27.2186i	−0.0855294	−	1.19133i
$523$	−1.93267	+	5.94816i	−0.0845099	+	0.260095i	−0.984378	−	0.176067i	$-0.943662\pi$
$523$	−1.93267	+	5.94816i	−0.0845099	+	0.260095i	0.899868	+	0.436162i	$0.143662\pi$
$524$	14.9554	+	2.57980i	0.653329	+	0.112699i
$525$	−0.113023	+	0.323295i	−0.00493272	+	0.0141098i
$526$	−20.6082	−	24.4674i	−0.898559	−	1.06683i
$527$	20.7960	+	6.75704i	0.905890	+	0.294341i
$528$	5.56715	−	3.81557i	0.242279	−	0.166051i
$529$	−13.7810	−	10.0125i	−0.599173	−	0.435325i
$530$	−1.15458	+	11.9290i	−0.0501518	+	0.518162i
$531$	12.0148	+	16.5370i	0.521399	+	0.717644i
$532$	0.216154	−	1.25307i	0.00937147	−	0.0543275i
$533$	10.5109	−	7.63661i	0.455277	−	0.330778i
$534$	−3.98140	−	2.47758i	−0.172292	−	0.107216i
$535$	0.780138	−	0.114718i	0.0337283	−	0.00495967i
$536$	−30.7749	+	6.72085i	−1.32927	+	0.290296i
$537$	3.07415	−	0.998852i	0.132659	−	0.0431036i
$538$	−4.69025	+	7.53708i	−0.202211	+	0.324947i
$539$	38.2040	+	12.4132i	1.64556	+	0.534676i
$540$	4.37929	+	6.35334i	0.188455	+	0.273404i
$541$	19.5034	−	6.33705i	0.838518	−	0.272451i	0.141889	−	0.989883i	$-0.454682\pi$
$541$	19.5034	−	6.33705i	0.838518	−	0.272451i	0.696629	+	0.717432i	$0.254682\pi$
$542$	−1.15453	+	4.66746i	−0.0495911	+	0.200485i
$543$		−	5.85576i		−	0.251295i
$544$	19.4906	+	12.8848i	0.835651	+	0.552433i
$545$	19.4797	−	9.65507i	0.834417	−	0.413578i
$546$	−0.0130256	−	0.181432i	−0.000557445	−	0.00776457i
$547$	17.9423	+	13.0358i	0.767157	+	0.557372i	0.901097	−	0.433617i	$-0.142763\pi$
$547$	17.9423	+	13.0358i	0.767157	+	0.557372i	−0.133940	+	0.990989i	$0.542763\pi$
$548$	12.3263	−	23.3917i	0.526555	−	0.999243i
$549$			4.74932i			0.202696i
$550$	−14.5486	−	38.2251i	−0.620353	−	1.62992i
$551$	−17.9243			−0.763599
$552$	−0.429973	−	1.96886i	−0.0183009	−	0.0838002i
$553$	1.77030	−	2.43661i	0.0752808	−	0.103615i
$554$	−36.3149	+	2.60717i	−1.54287	+	0.110768i
$555$	0.220742	−	1.30031i	0.00936998	−	0.0551952i
$556$	4.05933	−	1.99857i	0.172154	−	0.0847580i
$557$	36.8641			1.56198			0.780991	−	0.624543i	$-0.214715\pi$
$557$	36.8641			1.56198			0.780991	+	0.624543i	$0.214715\pi$
$558$	5.24033	−	21.1854i	0.221841	−	0.896848i
$559$	−4.66780	−	14.3660i	−0.197427	−	0.607617i
$560$	2.08546	−	0.248341i	0.0881268	−	0.0104943i
$561$	2.15356	−	6.62797i	0.0909233	−	0.279833i
$562$	4.69045	+	2.91882i	0.197855	+	0.123123i
$563$	−12.7139	−	39.1294i	−0.535828	−	1.64911i	−0.741854	−	0.670561i	$-0.766053\pi$
$563$	−12.7139	−	39.1294i	−0.535828	−	1.64911i	0.206027	−	0.978546i	$-0.433947\pi$
$564$	2.86222	−	5.43164i	0.120521	−	0.228713i
$565$	−0.656048	+	0.325169i	−0.0276001	+	0.0136800i
$566$	1.54221	+	0.959702i	0.0648240	+	0.0403393i
$567$	−1.13745	−	1.56557i	−0.0477685	−	0.0657477i
$568$	3.90289	+	6.67385i	0.163762	+	0.280028i
$569$	−2.43983	+	1.77264i	−0.102283	+	0.0743130i	−0.637751	−	0.770242i	$-0.720135\pi$
$569$	−2.43983	+	1.77264i	−0.102283	+	0.0743130i	0.535468	+	0.844555i	$0.320135\pi$
$570$	2.15277	−	1.26665i	0.0901697	−	0.0530540i
$571$	8.11104	−	11.1639i	0.339436	−	0.467194i	−0.604840	−	0.796347i	$-0.706763\pi$
$571$	8.11104	−	11.1639i	0.339436	−	0.467194i	0.944277	+	0.329153i	$0.106763\pi$
$572$	15.1479	+	15.5699i	0.633365	+	0.651012i
$573$	1.70873	−	5.25893i	0.0713833	−	0.219695i
$574$	1.48010	+	1.75728i	0.0617782	+	0.0733473i
$575$	−12.2095	−	0.270562i	−0.509170	−	0.0112832i
$576$	11.4338	−	20.3237i	0.476410	−	0.846822i
$577$	12.5473	+	4.07686i	0.522351	+	0.169722i	0.558312	−	0.829631i	$-0.311449\pi$
$577$	12.5473	+	4.07686i	0.522351	+	0.169722i	−0.0359612	+	0.999353i	$0.511449\pi$
$578$	0.0838002	−	0.00601630i	0.00348563	−	0.000250245i
$579$	−0.451554	+	0.621511i	−0.0187659	+	0.0258291i
$580$	−8.44682	−	28.3739i	−0.350735	−	1.17816i
$581$	−0.435458	−	0.599356i	−0.0180658	−	0.0248655i
$582$	−1.86247	−	2.21126i	−0.0772020	−	0.0916595i
$583$	−12.8850	−	17.7347i	−0.533644	−	0.734498i
$584$	−31.9474	−	28.4448i	−1.32199	−	1.17705i
$585$	−8.74984	+	8.55809i	−0.361761	+	0.353833i
$586$	4.55049	+	11.2029i	0.187979	+	0.462788i
$587$	−8.38908	−	25.8189i	−0.346254	−	1.06566i	−0.960909	−	0.276865i	$-0.910705\pi$
$587$	−8.38908	−	25.8189i	−0.346254	−	1.06566i	0.614655	−	0.788796i	$-0.289295\pi$
$588$	−4.01023	+	0.578800i	−0.165379	+	0.0238693i
$589$	−13.6332	−	4.42969i	−0.561745	−	0.182522i
$590$	16.6012	+	14.7022i	0.683462	+	0.605279i
$591$	2.27531	+	7.00269i	0.0935939	+	0.288052i
$592$	−7.75787	+	2.28704i	−0.318846	+	0.0939968i
$593$		−	10.5301i		−	0.432420i	−0.976347	−	0.216210i	$-0.930630\pi$
$593$		−	10.5301i		−	0.432420i	0.976347	−	0.216210i	$-0.0693696\pi$
$594$	−13.7012	−	3.38908i	−0.562168	−	0.139056i
$595$	1.55033	−	1.51636i	0.0635574	−	0.0621646i
$596$	−21.4749	−	22.0732i	−0.879645	−	0.904153i
$597$	0.937461	+	0.681105i	0.0383677	+	0.0278758i
$598$	6.00945	−	2.44097i	0.245745	−	0.0998187i
$599$	20.1787			0.824481			0.412241	−	0.911075i	$-0.364746\pi$
$599$	20.1787			0.824481			0.412241	+	0.911075i	$0.364746\pi$
$600$	3.01958	+	2.81091i	0.123274	+	0.114755i
$601$	11.7592			0.479669			0.239834	−	0.970814i	$-0.422907\pi$
$601$	11.7592			0.479669			0.239834	+	0.970814i	$0.422907\pi$
$602$	2.47486	−	1.00526i	0.100868	−	0.0409713i
$603$	26.2634	+	19.0815i	1.06953	+	0.777058i
$604$	−0.430142	+	0.418483i	−0.0175022	+	0.0170278i
$605$	44.4856	+	23.2909i	1.80860	+	0.946909i
$606$	4.38453	+	1.08454i	0.178110	+	0.0440565i
$607$		−	35.8362i		−	1.45455i	−0.686347	−	0.727274i	$-0.740787\pi$
$607$		−	35.8362i		−	1.45455i	0.686347	−	0.727274i	$-0.259213\pi$
$608$	−12.7774	−	8.44686i	−0.518190	−	0.342565i
$609$	−0.140118	−	0.431238i	−0.00567785	−	0.0174746i
$610$	1.11269	+	5.03079i	0.0450516	+	0.203691i
$611$	18.7937	+	6.10645i	0.760313	+	0.247041i
$612$	−3.43968	−	23.8319i	−0.139041	−	0.963349i
$613$	3.94986	+	12.1564i	0.159533	+	0.490994i	0.998592	−	0.0530477i	$-0.0168935\pi$
$613$	3.94986	+	12.1564i	0.159533	+	0.490994i	−0.839059	+	0.544041i	$0.816894\pi$
$614$	5.90324	+	14.5333i	0.238235	+	0.586515i
$615$	−0.755337	+	4.44942i	−0.0304581	+	0.179418i
$616$	−2.55451	+	2.86906i	−0.102924	+	0.115598i
$617$	−9.18527	−	12.6424i	−0.369785	−	0.508965i	0.583057	−	0.812431i	$-0.301856\pi$
$617$	−9.18527	−	12.6424i	−0.369785	−	0.508965i	−0.952842	+	0.303466i	$0.901856\pi$
$618$	−3.11139	−	3.69406i	−0.125159	−	0.148597i
$619$	20.9771	+	28.8724i	0.843139	+	1.16048i	0.985333	+	0.170643i	$0.0545844\pi$
$619$	20.9771	+	28.8724i	0.843139	+	1.16048i	−0.142194	+	0.989839i	$0.545416\pi$
$620$	0.587502	−	23.6687i	0.0235947	−	0.950556i
$621$	−2.47715	+	3.40951i	−0.0994048	+	0.136819i
$622$	−42.4013	+	3.04413i	−1.70014	+	0.122059i
$623$	2.53843	+	0.824786i	0.101700	+	0.0330444i
$624$	−2.06446	−	0.734080i	−0.0826446	−	0.0293867i
$625$	20.8565	−	13.7843i	0.834261	−	0.551370i
$626$	−0.0335258	−	0.0398041i	−0.00133996	−	0.00159089i
$627$	−1.41180	+	4.34507i	−0.0563818	+	0.173525i
$628$	−29.9502	+	29.1384i	−1.19514	+	1.16275i
$629$	−4.90885	+	6.75645i	−0.195729	+	0.269397i
$630$	−1.62034	−	1.43498i	−0.0645557	−	0.0571710i
$631$	36.4157	−	26.4575i	1.44969	−	1.05326i	0.463781	−	0.885950i	$-0.346492\pi$
$631$	36.4157	−	26.4575i	1.44969	−	1.05326i	0.985905	−	0.167308i	$-0.0535075\pi$
$632$	−18.3144	−	31.3172i	−0.728509	−	1.24573i
$633$	2.51346	+	3.45948i	0.0999010	+	0.137502i
$634$	19.5306	+	12.1537i	0.775660	+	0.482686i
$635$	−20.3660	−	3.45735i	−0.808199	−	0.137201i
$636$	1.95614	+	1.03080i	0.0775660	+	0.0408737i
$637$	−4.02989	−	12.4027i	−0.159670	−	0.491414i
$638$	45.9749	+	28.6097i	1.82016	+	1.13267i
$639$	2.46214	−	7.57770i	0.0974009	−	0.299769i
$640$	7.34995	−	24.2070i	0.290532	−	0.956865i
$641$	4.02897	+	12.3999i	0.159135	+	0.489766i	0.998556	−	0.0537145i	$-0.0171061\pi$
$641$	4.02897	+	12.3999i	0.159135	+	0.489766i	−0.839422	+	0.543481i	$0.817106\pi$
$642$	0.0349323	−	0.141223i	0.00137867	−	0.00557361i
$643$	−34.5558			−1.36275			−0.681375	−	0.731935i	$-0.738618\pi$
$643$	−34.5558			−1.36275			−0.681375	+	0.731935i	$0.738618\pi$
$644$	0.506655	+	1.02908i	0.0199650	+	0.0405513i
$645$	4.64853	+	2.43378i	0.183036	+	0.0958301i
$646$	−15.7753	+	1.13257i	−0.620673	+	0.0445602i
$647$	5.64166	−	7.76508i	0.221797	−	0.305277i	−0.683589	−	0.729867i	$-0.739582\pi$
$647$	5.64166	−	7.76508i	0.221797	−	0.305277i	0.905386	+	0.424590i	$0.139582\pi$
$648$	−22.7734	+	4.97342i	−0.894624	+	0.195374i
$649$	−40.5615			−1.59218
$650$	−7.26337	+	11.1152i	−0.284893	+	0.435975i
$651$		−	0.362627i		−	0.0142125i
$652$	−22.1373	−	11.6654i	−0.866965	−	0.456851i
$653$	19.7759	+	14.3680i	0.773889	+	0.562263i	0.903139	−	0.429349i	$-0.141257\pi$
$653$	19.7759	+	14.3680i	0.773889	+	0.562263i	−0.129250	+	0.991612i	$0.541257\pi$
$654$	−0.287233	−	4.00082i	−0.0112317	−	0.156444i
$655$	−11.8642	−	12.1301i	−0.463574	−	0.473961i
$656$	26.5459	−	7.82581i	1.03644	−	0.305547i
$657$			44.0833i			1.71985i
$658$	−0.839104	+	3.39229i	−0.0327117	+	0.132245i
$659$	−41.1516	+	13.3710i	−1.60304	+	0.520859i	−0.967857	−	0.251502i	$-0.919076\pi$
$659$	−41.1516	+	13.3710i	−1.60304	+	0.520859i	−0.635184	+	0.772361i	$0.719076\pi$
$660$	−7.54351	−	0.187245i	−0.293631	−	0.00728849i
$661$	33.1551	+	10.7728i	1.28958	+	0.419012i	0.871946	−	0.489602i	$-0.162858\pi$
$661$	33.1551	+	10.7728i	1.28958	+	0.419012i	0.417639	+	0.908613i	$0.362858\pi$
$662$	−16.9754	+	27.2789i	−0.659767	+	1.06022i
$663$	−2.15173	+	0.699141i	−0.0835664	+	0.0271524i
$664$	−8.71848	+	1.90400i	−0.338343	+	0.0738897i
$665$	−1.01635	+	0.994073i	−0.0394122	+	0.0385485i
$666$	7.07688	+	4.40387i	0.274224	+	0.170647i
$667$	13.0808	−	9.50375i	0.506490	−	0.367987i
$668$	−42.4756	−	7.32702i	−1.64343	−	0.283491i
$669$	−2.92371	−	4.02414i	−0.113037	−	0.155582i
$670$	32.2904	+	14.0592i	1.24749	+	0.543156i
$671$	−7.62437	−	5.53943i	−0.294336	−	0.213847i
$672$	0.103339	−	0.373440i	0.00398638	−	0.0144057i
$673$	−10.2698	−	3.33688i	−0.395874	−	0.128627i	0.104314	−	0.994544i	$-0.466735\pi$
$673$	−10.2698	−	3.33688i	−0.395874	−	0.128627i	−0.500187	+	0.865917i	$0.666735\pi$
$674$	−17.1400	−	20.3497i	−0.660207	−	0.783842i
$675$	0.191132	−	8.62510i	0.00735668	−	0.331980i
$676$	−3.22091	+	18.6720i	−0.123881	+	0.718155i
$677$	12.9196	−	39.7626i	0.496542	−	1.52820i	−0.317997	−	0.948092i	$-0.603010\pi$
$677$	12.9196	−	39.7626i	0.496542	−	1.52820i	0.814539	−	0.580109i	$-0.196990\pi$
$678$	0.00967359	+	0.134742i	0.000371512	+	0.00517474i
$679$	1.33127	+	0.967228i	0.0510896	+	0.0371188i
$680$	−9.22698	−	24.4385i	−0.353839	−	0.937173i
$681$	−3.45457	+	2.50989i	−0.132380	+	0.0961794i
$682$	27.8980	+	33.1224i	1.06827	+	1.26832i
$683$	16.0534	−	11.6635i	0.614267	−	0.446291i	−0.236647	−	0.971596i	$-0.576049\pi$
$683$	16.0534	−	11.6635i	0.614267	−	0.446291i	0.850914	+	0.525305i	$0.176049\pi$
$684$	2.25494	+	15.6234i	0.0862197	+	0.597376i
$685$	−26.4866	+	13.1281i	−1.01200	+	0.501598i
$686$	4.29025	−	1.74265i	0.163803	−	0.0665347i
$687$	1.69095	−	0.549422i	0.0645136	−	0.0209617i
$688$	0.884021	−	32.1646i	0.0337030	−	1.22626i
$689$	−2.19917	+	6.76834i	−0.0837815	+	0.257853i
$690$	−0.899455	+	2.06581i	−0.0342417	+	0.0786441i
$691$	−15.2658	+	4.96017i	−0.580740	+	0.188694i	−0.584632	−	0.811299i	$-0.698761\pi$
$691$	−15.2658	+	4.96017i	−0.580740	+	0.188694i	0.00389213	+	0.999992i	$0.498761\pi$
$692$	−1.40773	−	2.85927i	−0.0535139	−	0.108693i
$693$	3.95893			0.150387
$694$	10.0307	−	40.5517i	0.380761	−	1.53932i
$695$	−4.98735	−	0.846657i	−0.189181	−	0.0321155i
$696$	−5.43504	−	0.540645i	−0.206015	−	0.0204931i
$697$	16.7971	−	23.1193i	0.636237	−	0.875705i
$698$	20.6540	−	8.38942i	0.781766	−	0.317544i
$699$			2.08183i			0.0787422i
$700$	−2.05256	−	1.14041i	−0.0775794	−	0.0431033i
$701$		−	15.2259i		−	0.575073i	−0.957770	−	0.287537i	$-0.907164\pi$
$701$		−	15.2259i		−	0.575073i	0.957770	−	0.287537i	$-0.0928363\pi$
$702$	1.72437	+	4.24524i	0.0650820	+	0.160226i
$703$	3.21807	−	4.42930i	0.121372	−	0.167054i
$704$	19.2909	+	42.0603i	0.727053	+	1.58521i
$705$	−6.15030	+	3.04839i	−0.231634	+	0.114809i
$706$	11.2078	+	2.77231i	0.421810	+	0.104337i
$707$	−2.57079			−0.0966843
$708$	3.67052	−	1.80714i	0.137946	−	0.0679164i
$709$	35.0361	−	11.3839i	1.31581	−	0.427532i	0.434754	−	0.900549i	$-0.356835\pi$
$709$	35.0361	−	11.3839i	1.31581	−	0.427532i	0.881053	+	0.473018i	$0.156835\pi$
$710$	0.832728	−	8.60364i	0.0312517	−	0.322889i
$711$	−11.5537	+	35.5586i	−0.433297	+	1.33355i
$712$	21.3795	−	24.0121i	0.801231	−	0.899890i
$713$	12.2979	−	3.99584i	0.460561	−	0.149645i
$714$	−0.150567	−	0.370684i	−0.00563485	−	0.0138725i
$715$	−3.53333	−	24.0285i	−0.132139	−	0.898614i
$716$	3.16576	+	21.9340i	0.118310	+	0.819714i
$717$	−1.26551	+	0.919446i	−0.0472613	+	0.0343373i
$718$	−32.9899	+	27.7864i	−1.23117	+	1.03698i
$719$	17.8070	−	12.9375i	0.664088	−	0.482488i	−0.203953	−	0.978981i	$-0.565379\pi$
$719$	17.8070	−	12.9375i	0.664088	−	0.482488i	0.868041	+	0.496492i	$0.165379\pi$
$720$	−23.6690	+	10.9321i	−0.882093	+	0.407415i
$721$	2.22399	+	1.61582i	0.0828256	+	0.0601763i
$722$	−16.4593	+	1.18167i	−0.612551	+	0.0439772i
$723$	0.170225	−	0.523900i	0.00633075	−	0.0194840i
$724$	39.5633	+	6.82465i	1.47036	+	0.253636i
$725$	−10.9230	+	31.2446i	−0.405670	+	1.16039i
$726$	7.08570	−	5.96807i	0.262975	−	0.221496i
$727$	−37.4888	−	12.1809i	−1.39038	−	0.451763i	−0.484315	−	0.874894i	$-0.660931\pi$
$727$	−37.4888	−	12.1809i	−1.39038	−	0.451763i	−0.906069	+	0.423131i	$0.860931\pi$
$728$	1.24099	+	0.123446i	0.0459942	+	0.00457523i
$729$	18.2133	+	13.2327i	0.674566	+	0.490101i
$730$	10.3280	+	46.6959i	0.382257	+	1.72829i
$731$	−19.5291	−	26.8795i	−0.722311	−	0.994176i
$732$	0.936748	+	0.161589i	0.0346232	+	0.00597248i
$733$	−20.6186	+	14.9803i	−0.761565	+	0.553309i	−0.899390	−	0.437147i	$-0.855989\pi$
$733$	−20.6186	+	14.9803i	−0.761565	+	0.553309i	0.137825	+	0.990457i	$0.455989\pi$
$734$	−5.60446	+	9.00619i	−0.206864	+	0.332425i
$735$	4.01326	+	2.10118i	0.148031	+	0.0775032i
$736$	13.8033	−	0.610410i	0.508798	−	0.0225000i
$737$	−61.2653	+	19.9063i	−2.25674	+	0.733258i
$738$	−24.2157	−	15.0692i	−0.891393	−	0.554705i
$739$	−8.47753	−	2.75452i	−0.311851	−	0.101327i	0.148910	−	0.988851i	$-0.452424\pi$
$739$	−8.47753	−	2.75452i	−0.311851	−	0.101327i	−0.460761	+	0.887524i	$0.652424\pi$
$740$	8.52805	+	3.00687i	0.313497	+	0.110535i
$741$	1.41060	−	0.458333i	0.0518198	−	0.0168373i
$742$	−1.22169	−	0.302193i	−0.0448498	−	0.0110939i
$743$			21.5410i			0.790261i	0.918625	+	0.395130i	$0.129301\pi$
$743$			21.5410i			0.790261i	−0.918625	+	0.395130i	$0.870699\pi$
$744$	−4.00027	−	1.75439i	−0.146657	−	0.0643192i
$745$	5.00914	+	34.0647i	0.183521	+	1.24803i
$746$	−17.9959	+	1.29199i	−0.658878	+	0.0473031i
$747$	7.44038	+	5.40575i	0.272229	+	0.197786i
$748$	42.2708	+	22.2747i	1.54557	+	0.814445i
$749$			0.0828031i			0.00302556i
$750$	−0.896053	−	4.52448i	−0.0327192	−	0.165211i
$751$	31.4361			1.14712			0.573561	−	0.819163i	$-0.305562\pi$
$751$	31.4361			1.14712			0.573561	+	0.819163i	$0.305562\pi$
$752$	33.3621	+	25.6684i	1.21659	+	0.936032i
$753$	0.780227	−	1.07389i	0.0284331	−	0.0391347i
$754$	−1.25885	−	17.5343i	−0.0458446	−	0.638562i
$755$	0.663822	−	0.0976135i	0.0241589	−	0.00355252i
$756$	−0.726967	+	0.357915i	−0.0264396	+	0.0130172i
$757$	−3.46461			−0.125924			−0.0629618	−	0.998016i	$-0.520055\pi$
$757$	−3.46461			−0.125924			−0.0629618	+	0.998016i	$0.520055\pi$
$758$	16.8174	+	4.15988i	0.610834	+	0.151093i
$759$	−1.27353	−	3.91951i	−0.0462261	−	0.142269i
$760$	6.04890	+	16.0210i	0.219417	+	0.581144i
$761$	−6.25196	+	19.2415i	−0.226633	+	0.697505i	0.771488	+	0.636243i	$0.219513\pi$
$761$	−6.25196	+	19.2415i	−0.226633	+	0.697505i	−0.998122	+	0.0612621i	$0.980487\pi$
$762$	−2.01360	+	3.23580i	−0.0729452	+	0.117221i
$763$	0.705496	+	2.17129i	0.0255407	+	0.0786061i
$764$	33.5396	+	17.6738i	1.21342	+	0.639416i
$765$	−12.4869	+	23.8499i	−0.451463	+	0.862296i
$766$	20.1182	−	32.3293i	0.726900	−	1.16811i
$767$	7.73999	+	10.6532i	0.279475	+	0.384664i
$768$	−3.61960	−	2.94668i	−0.130611	−	0.106329i
$769$	−6.10205	+	4.43340i	−0.220046	+	0.159872i	−0.692347	−	0.721565i	$-0.743423\pi$
$769$	−6.10205	+	4.43340i	−0.220046	+	0.159872i	0.472302	+	0.881437i	$0.343423\pi$
$770$	4.19356	−	0.927516i	0.151125	−	0.0334253i
$771$	1.19867	−	1.64982i	0.0431689	−	0.0594169i
$772$	−3.67285	−	3.77519i	−0.132189	−	0.135872i
$773$	−7.63507	+	23.4983i	−0.274614	+	0.845176i	0.714707	+	0.699424i	$0.246560\pi$
$773$	−7.63507	+	23.4983i	−0.274614	+	0.845176i	−0.989321	+	0.145752i	$0.953440\pi$
$774$	−25.3628	+	21.3623i	−0.911647	+	0.767853i
$775$	−16.0296	+	21.0651i	−0.575800	+	0.756682i
$776$	17.1106	−	10.0063i	0.614234	−	0.359206i
$777$	0.131720	+	0.0427985i	0.00472544	+	0.00153539i
$778$	0.965428	+	13.4473i	0.0346123	+	0.482109i
$779$	−11.0116	+	15.1562i	−0.394533	+	0.543027i
$780$	1.39028	+	2.01698i	0.0497801	+	0.0722195i
$781$	9.29319	+	12.7910i	0.332536	+	0.457697i
$782$	10.9121	−	9.19089i	0.390214	−	0.328666i
$783$	6.71371	+	9.24062i	0.239928	+	0.330233i
$784$	0.763210	−	27.7690i	0.0272575	−	0.991749i
$785$	46.2210	−	6.79669i	1.64970	−	0.242584i
$786$	−2.90029	+	1.17807i	−0.103450	+	0.0420202i
$787$	2.96732	+	9.13248i	0.105774	+	0.325538i	0.989911	−	0.141689i	$-0.0452532\pi$
$787$	2.96732	+	9.13248i	0.105774	+	0.325538i	−0.884138	+	0.467227i	$0.845253\pi$
$788$	−49.9642	+	7.21137i	−1.77990	+	0.256895i
$789$	6.27562	+	2.03907i	0.223418	+	0.0725930i
$790$	−3.90760	+	40.3728i	−0.139026	+	1.43640i
$791$	−0.0237601	−	0.0731261i	−0.000844812	−	0.00260007i
$792$	19.1534	−	43.6725i	0.680586	−	1.55183i
$793$			3.05953i			0.108647i
$794$	−7.90182	+	31.9451i	−0.280425	+	1.13369i
$795$	−1.09784	−	2.21496i	−0.0389364	−	0.0785564i
$796$	−5.69434	+	5.53998i	−0.201830	+	0.196359i
$797$	−25.7837	−	18.7330i	−0.913306	−	0.663556i	0.0285428	−	0.999593i	$-0.490913\pi$
$797$	−25.7837	−	18.7330i	−0.913306	−	0.663556i	−0.941849	+	0.336037i	$0.890913\pi$
$798$	0.0987069	+	0.243008i	0.00349419	+	0.00860238i
$799$	43.4651			1.53769
$800$	−22.5106	+	17.1253i	−0.795869	+	0.605469i
$801$	−33.1336			−1.17072
$802$	−6.54176	−	16.1052i	−0.230998	−	0.568696i
$803$	−70.7696	−	51.4171i	−2.49740	−	1.81447i
$804$	4.65717	−	4.53093i	0.164246	−	0.159794i
$805$	0.214636	−	1.26434i	0.00756491	−	0.0445621i
$806$	3.37584	−	13.6477i	0.118909	−	0.480719i
$807$		−	1.83112i		−	0.0644586i
$808$	−12.4375	+	28.3593i	−0.437550	+	0.997677i
$809$	−1.35706	−	4.17661i	−0.0477118	−	0.146842i	0.924362	−	0.381516i	$-0.124598\pi$
$809$	−1.35706	−	4.17661i	−0.0477118	−	0.146842i	−0.972074	+	0.234674i	$0.924598\pi$
$810$	23.8949	+	10.4038i	0.839580	+	0.365553i
$811$	−36.8697	−	11.9797i	−1.29467	−	0.420664i	−0.420947	−	0.907085i	$-0.638302\pi$
$811$	−36.8697	−	11.9797i	−1.29467	−	0.420664i	−0.873725	+	0.486421i	$0.838302\pi$
$812$	3.07688	−	0.444089i	0.107977	−	0.0155845i
$813$	−0.306476	−	0.943236i	−0.0107486	−	0.0330807i
$814$	−15.3240	+	6.22443i	−0.537106	+	0.218166i
$815$	12.4241	+	25.0663i	0.435197	+	0.878034i
$816$	−4.81760	−	0.132408i	−0.168650	−	0.00463522i
$817$	12.8026	+	17.6213i	0.447907	+	0.616492i
$818$	34.1829	−	28.7912i	1.19518	−	1.00666i
$819$	−0.755449	−	1.03979i	−0.0263975	−	0.0363331i
$820$	−29.1813	−	10.2889i	−1.01906	−	0.359304i
$821$	25.5877	−	35.2185i	0.893017	−	1.22913i	−0.0796254	−	0.996825i	$-0.525372\pi$
$821$	25.5877	−	35.2185i	0.893017	−	1.22913i	0.972642	−	0.232308i	$-0.0746276\pi$
$822$	0.390552	+	5.43994i	0.0136221	+	0.189740i
$823$	−4.46326	−	1.45020i	−0.155580	−	0.0505509i	0.230192	−	0.973145i	$-0.426065\pi$
$823$	−4.46326	−	1.45020i	−0.155580	−	0.0505509i	−0.385771	+	0.922594i	$0.626065\pi$
$824$	28.5844	−	16.7163i	0.995785	−	0.582339i
$825$	6.71373	+	5.10884i	0.233742	+	0.177867i
$826$	−1.78107	+	1.50014i	−0.0619712	+	0.0521965i
$827$	3.61552	−	11.1274i	0.125724	−	0.386938i	−0.868308	−	0.496025i	$-0.834793\pi$
$827$	3.61552	−	11.1274i	0.125724	−	0.386938i	0.994032	+	0.109087i	$0.0347926\pi$
$828$	−9.92941	−	10.2061i	−0.345071	−	0.354685i
$829$	−0.462729	+	0.636892i	−0.0160712	+	0.0221202i	−0.816977	−	0.576670i	$-0.804352\pi$
$829$	−0.462729	+	0.636892i	−0.0160712	+	0.0221202i	0.800906	+	0.598790i	$0.204352\pi$
$830$	9.14781	+	3.98296i	0.317525	+	0.138251i
$831$	6.07571	−	4.41426i	0.210764	−	0.153129i
$832$	7.36573	−	13.0926i	0.255361	−	0.453905i
$833$	−16.8603	−	23.2062i	−0.584174	−	0.804046i
$834$	−0.493104	+	0.792402i	−0.0170748	+	0.0274386i
$835$	33.6963	+	34.4513i	1.16611	+	1.19224i
$836$	−27.7113	−	14.6026i	−0.958414	−	0.505040i
$837$	2.82277	+	8.68759i	0.0975692	+	0.300287i
$838$	6.45026	−	10.3654i	0.222821	−	0.358066i
$839$	10.8077	−	33.2628i	0.373124	−	1.14836i	−0.571611	−	0.820524i	$-0.693682\pi$
$839$	10.8077	−	33.2628i	0.373124	−	1.14836i	0.944736	−	0.327833i	$-0.106318\pi$
$840$	−0.338163	+	0.270769i	−0.0116677	+	0.00934243i
$841$	−4.58005	−	14.0959i	−0.157933	−	0.486067i
$842$	−17.5878	−	4.35044i	−0.606114	−	0.149926i
$843$	−1.13954			−0.0392478
$844$	−26.3027	+	12.9498i	−0.905375	+	0.445752i
$845$	15.1446	−	14.8127i	0.520989	−	0.509572i
$846$	−3.10647	−	43.2695i	−0.106803	−	1.48764i
$847$	−3.09936	+	4.26591i	−0.106495	+	0.146578i
$848$	−9.24418	+	12.0149i	−0.317447	+	0.412595i
$849$	−0.374678			−0.0128589
$850$	−7.63923	+	28.1889i	−0.262023	+	0.966870i
$851$			4.93870i			0.169296i
$852$	−1.41084	−	0.743449i	−0.0483347	−	0.0254702i
$853$	9.00501	+	6.54252i	0.308326	+	0.224012i	0.731178	−	0.682187i	$-0.238971\pi$
$853$	9.00501	+	6.54252i	0.308326	+	0.224012i	−0.422852	+	0.906199i	$0.638971\pi$
$854$	−0.539660	+	0.0387441i	−0.0184668	+	0.00132579i
$855$	8.18596	−	15.6352i	0.279954	−	0.534713i
$856$	0.913432	+	0.400603i	0.0312205	+	0.0136923i
$857$			53.1600i			1.81591i	0.419068	+	0.907955i	$0.362357\pi$
$857$			53.1600i			1.81591i	−0.419068	+	0.907955i	$0.637643\pi$
$858$	−4.34970	−	1.07592i	−0.148496	−	0.0367314i
$859$	−32.6009	+	10.5927i	−1.11233	+	0.361417i	−0.806835	−	0.590777i	$-0.798821\pi$
$859$	−32.6009	+	10.5927i	−1.11233	+	0.361417i	−0.305493	+	0.952194i	$0.598821\pi$
$860$	−21.8611	+	28.5705i	−0.745457	+	0.974245i
$861$	−0.450722	−	0.146448i	−0.0153606	−	0.00499095i
$862$	36.1093	+	22.4705i	1.22989	+	0.765347i
$863$	−37.8328	+	12.2926i	−1.28784	+	0.418446i	−0.871336	−	0.490686i	$-0.836746\pi$
$863$	−37.8328	+	12.2926i	−1.28784	+	0.418446i	−0.416508	+	0.909132i	$0.636746\pi$
$864$	0.431210	+	9.75105i	0.0146701	+	0.331738i
$865$	−0.596361	+	3.51295i	−0.0202769	+	0.119444i
$866$	−1.20138	+	1.93058i	−0.0408246	+	0.0656038i
$867$	−0.0140203	+	0.0101863i	−0.000476154	+	0.000345946i
$868$	2.45002	+	0.422627i	0.0831591	+	0.0143449i
$869$	−43.6085	−	60.0220i	−1.47932	−	2.03611i
$870$	4.57153	+	4.04858i	0.154990	+	0.137260i
$871$	16.9190	+	12.2923i	0.573277	+	0.416510i
$872$	27.3655	+	2.72216i	0.926714	+	0.0921840i
$873$	−19.4279	−	6.31251i	−0.657535	−	0.213646i
$874$	−7.15357	+	6.02523i	−0.241973	+	0.203807i
$875$	1.11345	+	2.37742i	0.0376416	+	0.0803715i
$876$	8.69492	+	1.49987i	0.293774	+	0.0506759i
$877$	−12.4831	+	38.4191i	−0.421525	+	1.29732i	0.484758	+	0.874649i	$0.338908\pi$
$877$	−12.4831	+	38.4191i	−0.421525	+	1.29732i	−0.906283	+	0.422672i	$0.861092\pi$
$878$	53.5670	−	3.84576i	1.80780	−	0.129788i
$879$	−2.01784	−	1.46605i	−0.0680601	−	0.0494486i
$880$	10.0567	−	50.7481i	0.339013	−	1.71072i
$881$	26.2858	−	19.0977i	0.885591	−	0.643419i	−0.0491339	−	0.998792i	$-0.515646\pi$
$881$	26.2858	−	19.0977i	0.885591	−	0.643419i	0.934725	+	0.355373i	$0.115646\pi$
$882$	−21.8967	+	18.4429i	−0.737301	+	0.621006i
$883$	−31.0584	+	22.5652i	−1.04520	+	0.759380i	−0.971293	−	0.237885i	$-0.923546\pi$
$883$	−31.0584	+	22.5652i	−1.04520	+	0.759380i	−0.0739039	+	0.997265i	$0.523546\pi$
$884$	−2.21586	−	15.3526i	−0.0745273	−	0.516364i
$885$	−4.50965	−	0.765563i	−0.151590	−	0.0257341i
$886$	−10.4137	−	25.6376i	−0.349855	−	0.861312i
$887$	−14.5493	+	4.72737i	−0.488519	+	0.158729i	−0.542911	−	0.839790i	$-0.682678\pi$
$887$	−14.5493	+	4.72737i	−0.488519	+	0.158729i	0.0543921	+	0.998520i	$0.482678\pi$
$888$	1.10939	−	1.24600i	0.0372288	−	0.0418129i
$889$	0.670327	−	2.06305i	0.0224821	−	0.0691926i
$890$	−35.0973	+	7.76268i	−1.17646	+	0.260206i
$891$	−45.3363	+	14.7306i	−1.51882	+	0.493495i
$892$	30.5958	−	15.0635i	1.02442	−	0.504364i
$893$	−28.4943			−0.953524
$894$	6.16648	+	1.52532i	0.206238	+	0.0510142i
$895$	11.4924	−	21.9506i	0.384150	−	0.733728i
$896$	2.40264	+	1.13342i	0.0802665	+	0.0378649i
$897$	−0.786416	+	1.08241i	−0.0262577	+	0.0361406i
$898$	17.6998	+	43.5754i	0.590651	+	1.45413i
$899$		−	35.0457i		−	1.16884i
$900$	28.6080	+	5.59018i	0.953599	+	0.186339i
$901$			15.6535i			0.521492i
$902$	52.4358	−	21.2988i	1.74592	−	0.709173i
$903$	−0.323868	+	0.445767i	−0.0107777	+	0.0148342i
$904$	−0.921634	−	0.0916786i	−0.0306531	−	0.00304918i
$905$	−31.3859	−	32.0892i	−1.04330	−	1.06668i
$906$	0.0297240	−	0.120167i	0.000987513	−	0.00399227i
$907$	31.6503			1.05093			0.525465	−	0.850815i	$-0.323891\pi$
$907$	31.6503			1.05093			0.525465	+	0.850815i	$0.323891\pi$
$908$	−12.9315	−	26.2654i	−0.429146	−	0.871647i
$909$	30.3516	−	9.86184i	1.00670	−	0.327096i
$910$	−1.04383	−	0.924420i	−0.0346025	−	0.0306442i
$911$	−1.64977	+	5.07747i	−0.0546593	+	0.168224i	−0.974659	−	0.223694i	$-0.928188\pi$
$911$	−1.64977	+	5.07747i	−0.0546593	+	0.168224i	0.920000	+	0.391918i	$0.128188\pi$
$912$	3.15826	+	0.0868024i	0.104580	+	0.00287431i
$913$	−17.3564	+	5.63942i	−0.574411	+	0.186638i
$914$	−20.4264	+	8.29695i	−0.675644	+	0.274439i
$915$	−0.743131	−	0.759781i	−0.0245671	−	0.0251176i
$916$	1.74134	+	12.0649i	0.0575353	+	0.398635i
$917$	1.44148	−	1.04729i	0.0476017	−	0.0345847i
$918$	6.49269	+	7.70856i	0.214291	+	0.254421i
$919$	11.6067	−	8.43275i	0.382869	−	0.278171i	−0.379658	−	0.925127i	$-0.623958\pi$
$919$	11.6067	−	8.43275i	0.382869	−	0.278171i	0.762527	+	0.646956i	$0.223958\pi$
$920$	−12.9090	−	8.48462i	−0.425597	−	0.279730i
$921$	−2.61770	−	1.90187i	−0.0862561	−	0.0626687i
$922$	0.586974	+	8.17587i	0.0193309	+	0.269258i
$923$	1.58612	−	4.88158i	0.0522078	−	0.160679i
$924$	0.134697	−	0.780854i	0.00443120	−	0.0256882i
$925$	−5.75982	−	8.30877i	−0.189382	−	0.273191i
$926$	10.8291	+	12.8570i	0.355865	+	0.422508i
$927$	−32.4557	−	10.5455i	−1.06598	−	0.346359i
$928$	9.98709	−	36.0907i	0.327842	−	1.18474i
$929$	5.50414	+	3.99899i	0.180585	+	0.131203i	0.674405	−	0.738361i	$-0.264400\pi$
$929$	5.50414	+	3.99899i	0.180585	+	0.131203i	−0.493820	+	0.869564i	$0.664400\pi$
$930$	2.47656	+	4.20913i	0.0812097	+	0.138023i
$931$	11.0530	+	15.2132i	0.362248	+	0.498592i
$932$	−14.0655	−	2.42629i	−0.460731	−	0.0794759i
$933$	7.09400	−	5.15409i	0.232247	−	0.168737i
$934$	29.9531	+	18.6395i	0.980094	+	0.609903i
$935$	−23.7235	−	47.8636i	−0.775842	−	1.56531i
$936$	−15.1252	+	3.30314i	−0.494381	+	0.107966i
$937$	−15.8759	+	5.15839i	−0.518643	+	0.168517i	−0.556629	−	0.830761i	$-0.687906\pi$
$937$	−15.8759	+	5.15839i	−0.518643	+	0.168517i	0.0379863	+	0.999278i	$0.487906\pi$
$938$	−1.95396	+	3.13994i	−0.0637989	+	0.102523i
$939$	0.0102093	+	0.00331721i	0.000333168	+	0.000108253i
$940$	−13.4279	−	45.1061i	−0.437971	−	1.47120i
$941$	−10.5188	+	3.41775i	−0.342902	+	0.111416i	−0.475405	−	0.879767i	$-0.657699\pi$
$941$	−10.5188	+	3.41775i	−0.342902	+	0.111416i	0.132503	+	0.991183i	$0.457699\pi$
$942$	2.06964	−	8.36704i	0.0674325	−	0.272613i
$943$		−	16.8993i		−	0.550316i
$944$	7.93176	+	26.9053i	0.258157	+	0.875693i
$945$	0.893163	+	0.151624i	0.0290546	+	0.00493234i
$946$	−4.71199	−	65.6327i	−0.153200	−	2.13390i
$947$	16.0299	+	11.6464i	0.520901	+	0.378457i	0.816943	−	0.576718i	$-0.195667\pi$
$947$	16.0299	+	11.6464i	0.520901	+	0.378457i	−0.296042	+	0.955175i	$0.595667\pi$
$948$	6.62042	+	3.48866i	0.215021	+	0.113306i
$949$			28.3986i			0.921858i
$950$	5.00802	−	18.4797i	0.162482	−	0.599560i
$951$	−4.74494			−0.153865
$952$	2.67994	−	0.585264i	0.0868573	−	0.0189685i
$953$	28.4871	−	39.2091i	0.922787	−	1.27011i	−0.0398210	−	0.999207i	$-0.512679\pi$
$953$	28.4871	−	39.2091i	0.922787	−	1.27011i	0.962608	−	0.270900i	$-0.0873212\pi$
$954$	15.5830	−	1.11876i	0.504518	−	0.0362211i
$955$	−18.8233	−	37.9771i	−0.609109	−	1.22891i
$956$	−4.73717	−	9.62175i	−0.153211	−	0.311190i
$957$	−11.1695			−0.361060
$958$	5.21685	−	21.0905i	0.168549	−	0.681402i
$959$	−0.959267	−	2.95232i	−0.0309764	−	0.0953354i
$960$	1.35092	+	5.04039i	0.0436008	+	0.162678i
$961$	−0.918548	+	2.82700i	−0.0296306	+	0.0911936i
$962$	4.55895	+	2.83699i	0.146986	+	0.0914682i
$963$	−0.317642	−	0.977603i	−0.0102359	−	0.0315028i
$964$	3.34124	+	1.76068i	0.107614	+	0.0567077i
$965$	0.856715	+	5.82610i	0.0275786	+	0.187549i
$966$	−0.200881	−	0.125006i	−0.00646325	−	0.00402202i
$967$	11.5880	+	15.9495i	0.372645	+	0.512901i	0.953617	−	0.301022i	$-0.0973277\pi$
$967$	11.5880	+	15.9495i	0.372645	+	0.512901i	−0.580973	+	0.813923i	$0.697328\pi$
$968$	32.0641	+	54.8288i	1.03058	+	1.76226i
$969$	2.63931	−	1.91757i	0.0847870	−	0.0616013i
$970$	−22.0582	−	2.13497i	−0.708247	−	0.0685497i
$971$	−1.31463	+	1.80943i	−0.0421885	+	0.0580675i	−0.829590	−	0.558373i	$-0.811426\pi$
$971$	−1.31463	+	1.80943i	−0.0421885	+	0.0580675i	0.787402	+	0.616440i	$0.211426\pi$
$972$	10.8666	−	10.5721i	0.348547	−	0.339099i
$973$	0.164154	−	0.505214i	0.00526253	−	0.0161964i
$974$	−20.5503	−	24.3987i	−0.658475	−	0.781786i
$975$	0.0606783	−	2.73819i	0.00194326	−	0.0876923i
$976$	−2.18349	+	6.14064i	−0.0698917	+	0.196557i
$977$	11.4440	+	3.71838i	0.366126	+	0.118962i	0.486301	−	0.873791i	$-0.338346\pi$
$977$	11.4440	+	3.71838i	0.366126	+	0.118962i	−0.120175	+	0.992753i	$0.538346\pi$
$978$	5.14823	−	0.369609i	0.164622	−	0.0118188i
$979$	38.6458	−	53.1914i	1.23512	−	1.70000i
$980$	−18.8735	+	24.6660i	−0.602893	+	0.787927i
$981$	−16.6587	−	22.9287i	−0.531870	−	0.732057i
$982$	6.95109	+	8.25281i	0.221818	+	0.263358i
$983$	−27.2305	−	37.4796i	−0.868518	−	1.19541i	−0.979471	−	0.201587i	$-0.935390\pi$
$983$	−27.2305	−	37.4796i	−0.868518	−	1.19541i	0.110952	−	0.993826i	$-0.464610\pi$
$984$	−3.79613	+	4.26356i	−0.121016	+	0.135917i
$985$	50.0019	+	26.1790i	1.59319	+	0.834132i
$986$	−14.5515	−	35.8244i	−0.463413	−	1.14088i
$987$	−0.222746	−	0.685540i	−0.00709007	−	0.0218210i
$988$	1.45264	+	10.0647i	0.0462146	+	0.320199i
$989$	−18.6862	−	6.07153i	−0.594188	−	0.193063i
$990$	−45.9526	+	27.0376i	−1.46047	+	0.859311i
$991$	18.8475	+	58.0065i	0.598710	+	1.84264i	0.535319	+	0.844650i	$0.320191\pi$
$991$	18.8475	+	58.0065i	0.598710	+	1.84264i	0.0633902	+	0.997989i	$0.479809\pi$
$992$	16.5154	−	24.9824i	0.524365	−	0.793193i
$993$		−	6.62737i		−	0.210313i
$994$	0.881132	+	0.217953i	0.0279478	+	0.00691306i
$995$	8.78784	−	1.29223i	0.278593	−	0.0409665i
$996$	1.31937	−	1.28361i	0.0418058	−	0.0406726i
$997$	26.2826	+	19.0954i	0.832378	+	0.604758i	0.920231	−	0.391375i	$-0.128001\pi$
$997$	26.2826	+	19.0954i	0.832378	+	0.604758i	−0.0878532	+	0.996133i	$0.528001\pi$
$998$	−35.3360	+	14.3531i	−1.11854	+	0.454339i
$999$	−3.48883			−0.110382

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	200.2.o.a.29.12	yes	112
4.3	odd	2		800.2.be.a.529.13		112
5.2	odd	4		1000.2.t.b.101.50		224
5.3	odd	4		1000.2.t.b.101.7		224
5.4	even	2		1000.2.o.a.149.17		112
8.3	odd	2		800.2.be.a.529.16		112
8.5	even	2	inner	200.2.o.a.29.6	✓	112
25.6	even	5		1000.2.o.a.349.23		112
25.8	odd	20		1000.2.t.b.901.39		224
25.17	odd	20		1000.2.t.b.901.18		224
25.19	even	10	inner	200.2.o.a.69.6	yes	112
40.13	odd	4		1000.2.t.b.101.39		224
40.29	even	2		1000.2.o.a.149.23		112
40.37	odd	4		1000.2.t.b.101.18		224
100.19	odd	10		800.2.be.a.369.16		112
200.19	odd	10		800.2.be.a.369.13		112
200.69	even	10	inner	200.2.o.a.69.12	yes	112
200.117	odd	20		1000.2.t.b.901.50		224
200.133	odd	20		1000.2.t.b.901.7		224
200.181	even	10		1000.2.o.a.349.17		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
200.2.o.a.29.6	✓	112	8.5	even	2	inner
200.2.o.a.29.12	yes	112	1.1	even	1	trivial
200.2.o.a.69.6	yes	112	25.19	even	10	inner
200.2.o.a.69.12	yes	112	200.69	even	10	inner
800.2.be.a.369.13		112	200.19	odd	10
800.2.be.a.369.16		112	100.19	odd	10
800.2.be.a.529.13		112	4.3	odd	2
800.2.be.a.529.16		112	8.3	odd	2
1000.2.o.a.149.17		112	5.4	even	2
1000.2.o.a.149.23		112	40.29	even	2
1000.2.o.a.349.17		112	200.181	even	10
1000.2.o.a.349.23		112	25.6	even	5
1000.2.t.b.101.7		224	5.3	odd	4
1000.2.t.b.101.18		224	40.37	odd	4
1000.2.t.b.101.39		224	40.13	odd	4
1000.2.t.b.101.50		224	5.2	odd	4
1000.2.t.b.901.7		224	200.133	odd	20
1000.2.t.b.901.18		224	25.17	odd	20
1000.2.t.b.901.39		224	25.8	odd	20
1000.2.t.b.901.50		224	200.117	odd	20

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:	\( N \)	\(=\)	\( 200 = 2^{3} \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	200.o (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.532208 - 1.31025i) q^{2} +(0.235999 + 0.171463i) q^{3} +(-1.43351 + 1.39465i) q^{4} +(2.21228 - 0.325311i) q^{5} +(0.0990593 - 0.400472i) q^{6} +0.234809i q^{7} +(2.59027 + 1.13601i) q^{8} +(-0.900755 - 2.77224i) q^{9} +O(q^{10})\)	\(q+(-0.532208 - 1.31025i) q^{2} +(0.235999 + 0.171463i) q^{3} +(-1.43351 + 1.39465i) q^{4} +(2.21228 - 0.325311i) q^{5} +(0.0990593 - 0.400472i) q^{6} +0.234809i q^{7} +(2.59027 + 1.13601i) q^{8} +(-0.900755 - 2.77224i) q^{9} +(-1.60363 - 2.72550i) q^{10} +(5.50105 + 1.78740i) q^{11} +(-0.577439 + 0.0833422i) q^{12} +(-0.580270 - 1.78589i) q^{13} +(0.307658 - 0.124967i) q^{14} +(0.577875 + 0.302552i) q^{15} +(0.109896 - 3.99849i) q^{16} +(-2.42773 - 3.34149i) q^{17} +(-3.15294 + 2.65562i) q^{18} +(1.59154 + 2.19056i) q^{19} +(-2.71763 + 3.55169i) q^{20} +(-0.0402612 + 0.0554147i) q^{21} +(-0.585764 - 8.15902i) q^{22} +(-2.32295 - 0.754772i) q^{23} +(0.416517 + 0.712234i) q^{24} +(4.78835 - 1.43935i) q^{25} +(-2.03113 + 1.71076i) q^{26} +(0.533191 - 1.64099i) q^{27} +(-0.327477 - 0.336601i) q^{28} +(-3.89100 + 5.35551i) q^{29} +(0.0888688 - 0.918181i) q^{30} +(-4.28302 + 3.11180i) q^{31} +(-5.29751 + 1.98404i) q^{32} +(0.991770 + 1.36505i) q^{33} +(-3.08612 + 4.95930i) q^{34} +(0.0763858 + 0.519463i) q^{35} +(5.15755 + 2.71779i) q^{36} +(-0.624829 - 1.92303i) q^{37} +(2.02316 - 3.25115i) q^{38} +(0.169271 - 0.520963i) q^{39} +(6.09995 + 1.67053i) q^{40} +(2.13805 + 6.58023i) q^{41} +(0.0940345 + 0.0232600i) q^{42} +8.04419 q^{43} +(-10.3786 + 5.10979i) q^{44} +(-2.89456 - 5.83994i) q^{45} +(0.247353 + 3.44534i) q^{46} +(-6.18554 + 8.51367i) q^{47} +(0.711530 - 0.924798i) q^{48} +6.94486 q^{49} +(-4.43431 - 5.50789i) q^{50} -1.20486i q^{51} +(3.32251 + 1.75081i) q^{52} +(-3.06610 - 2.22765i) q^{53} +(-2.43388 + 0.174737i) q^{54} +(12.7513 + 2.16467i) q^{55} +(-0.266745 + 0.608218i) q^{56} +0.789862i q^{57} +(9.08787 + 2.24794i) q^{58} +(-6.66931 + 2.16699i) q^{59} +(-1.25034 + 0.372223i) q^{60} +(-1.54958 - 0.503489i) q^{61} +(6.35669 + 3.95570i) q^{62} +(0.650947 - 0.211505i) q^{63} +(5.41896 + 5.88514i) q^{64} +(-1.86468 - 3.76211i) q^{65} +(1.26073 - 2.02596i) q^{66} +(-9.01003 + 6.54617i) q^{67} +(8.14038 + 1.40421i) q^{68} +(-0.418799 - 0.576427i) q^{69} +(0.639973 - 0.376547i) q^{70} +(2.21139 + 1.60667i) q^{71} +(0.816095 - 8.20411i) q^{72} +(-14.3832 - 4.67339i) q^{73} +(-2.18711 + 1.84213i) q^{74} +(1.37684 + 0.481340i) q^{75} +(-5.33656 - 0.920553i) q^{76} +(-0.419697 + 1.29170i) q^{77} +(-0.772679 + 0.0554733i) q^{78} +(-10.3770 - 7.53932i) q^{79} +(-1.05763 - 8.88152i) q^{80} +(-6.66742 + 4.84416i) q^{81} +(7.48385 - 6.30342i) q^{82} +(-2.55253 + 1.85452i) q^{83} +(-0.0195695 - 0.135588i) q^{84} +(-6.45784 - 6.60253i) q^{85} +(-4.28118 - 10.5399i) q^{86} +(-1.83655 + 0.596730i) q^{87} +(12.2187 + 10.8791i) q^{88} +(3.51258 - 10.8106i) q^{89} +(-6.11127 + 6.90066i) q^{90} +(0.419342 - 0.136252i) q^{91} +(4.38261 - 2.15773i) q^{92} -1.54435 q^{93} +(14.4470 + 3.57356i) q^{94} +(4.23354 + 4.32839i) q^{95} +(-1.59040 - 0.440098i) q^{96} +(4.11921 - 5.66961i) q^{97} +(-3.69611 - 9.09951i) q^{98} -16.8602i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9}+O(q^{10}) \) 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9	\( 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9} - 9 q^{10} - 5 q^{12} - 3 q^{14} - 2 q^{15} - 15 q^{16} - 10 q^{17} - 17 q^{20} - 30 q^{22} - 10 q^{23} - 16 q^{24} - 6 q^{25} - 14 q^{26} + 15 q^{28} - 33 q^{30} - 18 q^{31} - 10 q^{33} + 9 q^{34} + 41 q^{36} + 45 q^{38} - 10 q^{39} - 14 q^{40} - 10 q^{41} + 75 q^{42} - 32 q^{44} + 13 q^{46} - 10 q^{47} - 70 q^{48} - 80 q^{49} - 19 q^{50} - 100 q^{52} + 43 q^{54} - 34 q^{55} + 36 q^{56} - 30 q^{58} - 28 q^{60} + 20 q^{62} + 60 q^{63} - 36 q^{64} + 40 q^{65} + 40 q^{66} + 42 q^{70} + 22 q^{71} - 65 q^{72} - 10 q^{73} + 4 q^{74} - 36 q^{76} - 55 q^{78} + 14 q^{79} - 76 q^{80} - 6 q^{81} + 78 q^{84} - 59 q^{86} - 10 q^{87} + 110 q^{88} + 24 q^{89} + 49 q^{90} + 90 q^{92} + 45 q^{94} - 86 q^{95} + 46 q^{96} - 50 q^{97} + 90 q^{98}+O(q^{100}) \) 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9 - 9 * q^10 - 5 * q^12 - 3 * q^14 - 2 * q^15 - 15 * q^16 - 10 * q^17 - 17 * q^20 - 30 * q^22 - 10 * q^23 - 16 * q^24 - 6 * q^25 - 14 * q^26 + 15 * q^28 - 33 * q^30 - 18 * q^31 - 10 * q^33 + 9 * q^34 + 41 * q^36 + 45 * q^38 - 10 * q^39 - 14 * q^40 - 10 * q^41 + 75 * q^42 - 32 * q^44 + 13 * q^46 - 10 * q^47 - 70 * q^48 - 80 * q^49 - 19 * q^50 - 100 * q^52 + 43 * q^54 - 34 * q^55 + 36 * q^56 - 30 * q^58 - 28 * q^60 + 20 * q^62 + 60 * q^63 - 36 * q^64 + 40 * q^65 + 40 * q^66 + 42 * q^70 + 22 * q^71 - 65 * q^72 - 10 * q^73 + 4 * q^74 - 36 * q^76 - 55 * q^78 + 14 * q^79 - 76 * q^80 - 6 * q^81 + 78 * q^84 - 59 * q^86 - 10 * q^87 + 110 * q^88 + 24 * q^89 + 49 * q^90 + 90 * q^92 + 45 * q^94 - 86 * q^95 + 46 * q^96 - 50 * q^97 + 90 * q^98

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