LMFDB - Embedded newform 525.2.bm.a.131.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(131,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 12, 25]))

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

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

chi := DirichletCharacter("525.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bm (of order $30$, degree $8$, 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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$608$
Relative dimension:	$76$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			131.18
Character	$\chi$	$=$	525.131
Dual form			525.2.bm.a.521.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.350482 + 1.64889i) q^{2} +(1.30612 - 1.13757i) q^{3} +(-0.768903 - 0.342338i) q^{4} +(0.782565 + 2.09466i) q^{5} +(1.41795 + 2.55234i) q^{6} +(1.46624 + 2.20230i) q^{7} +(-1.14773 + 1.57971i) q^{8} +(0.411886 - 2.97159i) q^{9} +O(q^{10})$	\(q+(-0.350482 + 1.64889i) q^{2} +(1.30612 - 1.13757i) q^{3} +(-0.768903 - 0.342338i) q^{4} +(0.782565 + 2.09466i) q^{5} +(1.41795 + 2.55234i) q^{6} +(1.46624 + 2.20230i) q^{7} +(-1.14773 + 1.57971i) q^{8} +(0.411886 - 2.97159i) q^{9} +(-3.72813 + 0.556222i) q^{10} +(1.63138 + 1.46891i) q^{11} +(-1.39371 + 0.427545i) q^{12} +(-1.19770 - 0.389156i) q^{13} +(-4.14524 + 1.64580i) q^{14} +(3.40493 + 1.84565i) q^{15} +(-3.32888 - 3.69709i) q^{16} +(-0.0817770 + 0.778056i) q^{17} +(4.75546 + 1.72064i) q^{18} +(-1.78649 - 4.01251i) q^{19} +(0.115364 - 1.87849i) q^{20} +(4.42035 + 1.20852i) q^{21} +(-2.99383 + 2.17515i) q^{22} +(0.253953 - 1.19476i) q^{23} +(0.297959 + 3.36890i) q^{24} +(-3.77518 + 3.27841i) q^{25} +(1.06145 - 1.83848i) q^{26} +(-2.84241 - 4.34979i) q^{27} +(-0.373466 - 2.19531i) q^{28} +(-3.01364 - 4.14792i) q^{29} +(-4.23664 + 4.96749i) q^{30} +(9.41449 + 0.989503i) q^{31} +(3.88076 - 2.24056i) q^{32} +(3.80176 + 0.0627547i) q^{33} +(-1.25427 - 0.407536i) q^{34} +(-3.46564 + 4.79472i) q^{35} +(-1.33399 + 2.14386i) q^{36} +(3.03047 + 3.36568i) q^{37} +(7.24232 - 1.53940i) q^{38} +(-2.00703 + 0.854178i) q^{39} +(-4.20712 - 1.16787i) q^{40} +(-3.00534 + 9.24948i) q^{41} +(-3.54197 + 6.86510i) q^{42} +2.66236 q^{43} +(-0.751515 - 1.68793i) q^{44} +(6.54679 - 1.46270i) q^{45} +(1.88101 + 0.837482i) q^{46} +(0.524441 + 4.98972i) q^{47} +(-8.55360 - 1.04202i) q^{48} +(-2.70027 + 6.45821i) q^{49} +(-4.08260 - 7.37388i) q^{50} +(0.778280 + 1.10926i) q^{51} +(0.787692 + 0.709241i) q^{52} +(2.00829 - 4.51069i) q^{53} +(8.16854 - 3.16229i) q^{54} +(-1.80019 + 4.56671i) q^{55} +(-5.16184 - 0.211405i) q^{56} +(-6.89786 - 3.20857i) q^{57} +(7.89568 - 3.51538i) q^{58} +(3.29368 - 0.700094i) q^{59} +(-1.98623 - 2.58476i) q^{60} +(2.69106 - 12.6604i) q^{61} +(-4.93119 + 15.1766i) q^{62} +(7.14827 - 3.44997i) q^{63} +(-0.740386 - 2.27867i) q^{64} +(-0.122128 - 2.81331i) q^{65} +(-1.43592 + 6.24668i) q^{66} +(0.826821 - 7.86667i) q^{67} +(0.329237 - 0.570255i) q^{68} +(-1.02742 - 1.84938i) q^{69} +(-6.69131 - 7.39492i) q^{70} +(-8.49151 - 11.6876i) q^{71} +(4.22152 + 4.06123i) q^{72} +(4.44481 + 4.00212i) q^{73} +(-6.61176 + 3.81730i) q^{74} +(-1.20142 + 8.57651i) q^{75} +3.69682i q^{76} +(-0.842971 + 5.74657i) q^{77} +(-0.705018 - 3.60874i) q^{78} +(-0.785222 - 7.47089i) q^{79} +(5.13908 - 9.86608i) q^{80} +(-8.66070 - 2.44791i) q^{81} +(-14.1980 - 8.19725i) q^{82} +(-3.10880 - 2.25868i) q^{83} +(-2.98510 - 2.44249i) q^{84} +(-1.69376 + 0.437585i) q^{85} +(-0.933108 + 4.38993i) q^{86} +(-8.65470 - 1.98946i) q^{87} +(-4.19283 + 0.891212i) q^{88} +(4.03187 + 0.857000i) q^{89} +(0.117300 + 11.3076i) q^{90} +(-0.899076 - 3.20829i) q^{91} +(-0.604276 + 0.831715i) q^{92} +(13.4221 - 9.41720i) q^{93} +(-8.41130 - 0.884063i) q^{94} +(7.00680 - 6.88213i) q^{95} +(2.51994 - 7.34105i) q^{96} +(-0.395447 - 0.544286i) q^{97} +(-9.70247 - 6.71593i) q^{98} +(5.03693 - 4.24279i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 608 q - 9 q^{3} - 78 q^{4} - 36 q^{7} - 3 q^{9}+O(q^{10}) $ 608 * q - 9 * q^3 - 78 * q^4 - 36 * q^7 - 3 * q^9	$ 608 q - 9 q^{3} - 78 q^{4} - 36 q^{7} - 3 q^{9} - 30 q^{10} + 3 q^{12} + 16 q^{15} + 50 q^{16} - 8 q^{18} - 18 q^{19} - 21 q^{21} - 24 q^{22} - 66 q^{24} - 10 q^{25} - 30 q^{28} - 7 q^{30} - 36 q^{31} + 36 q^{33} - 100 q^{36} - 14 q^{37} - 31 q^{39} - 30 q^{40} + 20 q^{42} - 96 q^{43} - 117 q^{45} + 42 q^{46} - 28 q^{49} - 8 q^{51} - 66 q^{52} + 3 q^{54} + 48 q^{57} - 38 q^{58} - 49 q^{60} - 18 q^{61} + 4 q^{63} - 32 q^{64} - 3 q^{66} - 22 q^{67} - 270 q^{70} + 45 q^{72} + 102 q^{73} + 135 q^{75} + 58 q^{78} - 34 q^{79} - 55 q^{81} + 108 q^{82} - 75 q^{84} - 96 q^{85} - 9 q^{87} + 36 q^{88} + 38 q^{91} - 22 q^{93} + 30 q^{94} - 81 q^{96} + 36 q^{99}+O(q^{100}) $ 608 * q - 9 * q^3 - 78 * q^4 - 36 * q^7 - 3 * q^9 - 30 * q^10 + 3 * q^12 + 16 * q^15 + 50 * q^16 - 8 * q^18 - 18 * q^19 - 21 * q^21 - 24 * q^22 - 66 * q^24 - 10 * q^25 - 30 * q^28 - 7 * q^30 - 36 * q^31 + 36 * q^33 - 100 * q^36 - 14 * q^37 - 31 * q^39 - 30 * q^40 + 20 * q^42 - 96 * q^43 - 117 * q^45 + 42 * q^46 - 28 * q^49 - 8 * q^51 - 66 * q^52 + 3 * q^54 + 48 * q^57 - 38 * q^58 - 49 * q^60 - 18 * q^61 + 4 * q^63 - 32 * q^64 - 3 * q^66 - 22 * q^67 - 270 * q^70 + 45 * q^72 + 102 * q^73 + 135 * q^75 + 58 * q^78 - 34 * q^79 - 55 * q^81 + 108 * q^82 - 75 * q^84 - 96 * q^85 - 9 * q^87 + 36 * q^88 + 38 * q^91 - 22 * q^93 + 30 * q^94 - 81 * q^96 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.350482	+	1.64889i	−0.247828	+	1.16594i	0.661528	+	0.749921i	$0.269908\pi$
$2$	−0.350482	+	1.64889i	−0.247828	+	1.16594i	−0.909356	+	0.416019i	$0.863425\pi$
$3$	1.30612	−	1.13757i	0.754087	−	0.656774i
$3$	1.30612	−	1.13757i	0.754087	−	0.656774i
$4$	−0.768903	−	0.342338i	−0.384452	−	0.171169i
$5$	0.782565	+	2.09466i	0.349974	+	0.936760i
$5$	0.782565	+	2.09466i	0.349974	+	0.936760i
$6$	1.41795	+	2.55234i	0.578875	+	1.04199i
$7$	1.46624	+	2.20230i	0.554187	+	0.832392i
$7$	1.46624	+	2.20230i	0.554187	+	0.832392i
$8$	−1.14773	+	1.57971i	−0.405782	+	0.558511i
$9$	0.411886	−	2.97159i	0.137295	−	0.990530i
$10$	−3.72813	+	0.556222i	−1.17894	+	0.175893i
$11$	1.63138	+	1.46891i	0.491881	+	0.442892i	0.877366	−	0.479823i	$-0.159299\pi$
$11$	1.63138	+	1.46891i	0.491881	+	0.442892i	−0.385484	+	0.922714i	$0.625966\pi$
$12$	−1.39371	+	0.427545i	−0.402329	+	0.123422i
$13$	−1.19770	−	0.389156i	−0.332182	−	0.107932i	0.138177	−	0.990408i	$-0.455876\pi$
$13$	−1.19770	−	0.389156i	−0.332182	−	0.107932i	−0.470359	+	0.882475i	$0.655876\pi$
$14$	−4.14524	+	1.64580i	−1.10786	+	0.439859i
$15$	3.40493	+	1.84565i	0.879150	+	0.476545i
$16$	−3.32888	−	3.69709i	−0.832220	−	0.924274i
$17$	−0.0817770	+	0.778056i	−0.0198338	+	0.188706i	−0.999953	−	0.00970379i	$-0.996911\pi$
$17$	−0.0817770	+	0.778056i	−0.0198338	+	0.188706i	0.980119	+	0.198410i	$0.0635778\pi$
$18$	4.75546	+	1.72064i	1.12087	+	0.405559i
$19$	−1.78649	−	4.01251i	−0.409848	−	0.920534i	−0.994050	−	0.108925i	$-0.965259\pi$
$19$	−1.78649	−	4.01251i	−0.409848	−	0.920534i	0.584202	−	0.811608i	$-0.301408\pi$
$20$	0.115364	−	1.87849i	0.0257961	−	0.420043i
$21$	4.42035	+	1.20852i	0.964599	+	0.263720i
$22$	−2.99383	+	2.17515i	−0.638287	+	0.463743i
$23$	0.253953	−	1.19476i	0.0529530	−	0.249124i	−0.943708	−	0.330781i	$-0.892688\pi$
$23$	0.253953	−	1.19476i	0.0529530	−	0.249124i	0.996660	+	0.0816569i	$0.0260212\pi$
$24$	0.297959	+	3.36890i	0.0608206	+	0.687674i
$25$	−3.77518	+	3.27841i	−0.755037	+	0.655682i
$26$	1.06145	−	1.83848i	0.208167	−	0.360555i
$27$	−2.84241	−	4.34979i	−0.547022	−	0.837118i
$28$	−0.373466	−	2.19531i	−0.0705785	−	0.414874i
$29$	−3.01364	−	4.14792i	−0.559619	−	0.770250i	0.431659	−	0.902037i	$-0.357928\pi$
$29$	−3.01364	−	4.14792i	−0.559619	−	0.770250i	−0.991278	+	0.131787i	$0.957928\pi$
$30$	−4.23664	+	4.96749i	−0.773501	+	0.906935i
$31$	9.41449	+	0.989503i	1.69089	+	0.177720i	0.900492	−	0.434872i	$-0.143206\pi$
$31$	9.41449	+	0.989503i	1.69089	+	0.177720i	0.790400	+	0.612592i	$0.209873\pi$
$32$	3.88076	−	2.24056i	0.686027	−	0.396078i
$33$	3.80176	+	0.0627547i	0.661801	+	0.0109242i
$34$	−1.25427	−	0.407536i	−0.215105	−	0.0698918i
$35$	−3.46564	+	4.79472i	−0.585800	+	0.810455i
$36$	−1.33399	+	2.14386i	−0.222331	+	0.357310i
$37$	3.03047	+	3.36568i	0.498207	+	0.553314i	0.938831	−	0.344377i	$-0.111910\pi$
$37$	3.03047	+	3.36568i	0.498207	+	0.553314i	−0.440625	+	0.897691i	$0.645243\pi$
$38$	7.24232	−	1.53940i	1.17486	−	0.249724i
$39$	−2.00703	+	0.854178i	−0.321381	+	0.136778i
$40$	−4.20712	−	1.16787i	−0.665204	−	0.184656i
$41$	−3.00534	+	9.24948i	−0.469355	+	1.44453i	0.384066	+	0.923306i	$0.374523\pi$
$41$	−3.00534	+	9.24948i	−0.469355	+	1.44453i	−0.853422	+	0.521221i	$0.825477\pi$
$42$	−3.54197	+	6.86510i	−0.546537	+	1.05931i
$43$	2.66236			0.406006			0.203003	−	0.979178i	$-0.434930\pi$
$43$	2.66236			0.406006			0.203003	+	0.979178i	$0.434930\pi$
$44$	−0.751515	−	1.68793i	−0.113295	−	0.254465i
$45$	6.54679	−	1.46270i	0.975938	−	0.218047i
$46$	1.88101	+	0.837482i	0.277340	+	0.123480i
$47$	0.524441	+	4.98972i	0.0764976	+	0.727826i	0.963798	+	0.266634i	$0.0859114\pi$
$47$	0.524441	+	4.98972i	0.0764976	+	0.727826i	−0.887300	+	0.461192i	$0.847422\pi$
$48$	−8.55360	−	1.04202i	−1.23461	−	0.150403i
$49$	−2.70027	+	6.45821i	−0.385753	+	0.922602i
$50$	−4.08260	−	7.37388i	−0.577367	−	1.04282i
$51$	0.778280	+	1.10926i	0.108981	+	0.155327i
$52$	0.787692	+	0.709241i	0.109233	+	0.0983540i
$53$	2.00829	−	4.51069i	0.275860	−	0.619591i	−0.721484	−	0.692431i	$-0.756540\pi$
$53$	2.00829	−	4.51069i	0.275860	−	0.619591i	0.997344	+	0.0728402i	$0.0232063\pi$
$54$	8.16854	−	3.16229i	1.11160	−	0.430333i
$55$	−1.80019	+	4.56671i	−0.242738	+	0.615775i
$56$	−5.16184	−	0.211405i	−0.689780	−	0.0282501i
$57$	−6.89786	−	3.20857i	−0.913644	−	0.424985i
$58$	7.89568	−	3.51538i	1.03675	−	0.461593i
$59$	3.29368	−	0.700094i	0.428801	−	0.0911444i	0.0115447	−	0.999933i	$-0.496325\pi$
$59$	3.29368	−	0.700094i	0.428801	−	0.0911444i	0.417256	+	0.908789i	$0.362992\pi$
$60$	−1.98623	−	2.58476i	−0.256421	−	0.333692i
$61$	2.69106	−	12.6604i	0.344554	−	1.62100i	−0.375319	−	0.926896i	$-0.622467\pi$
$61$	2.69106	−	12.6604i	0.344554	−	1.62100i	0.719873	−	0.694106i	$-0.244200\pi$
$62$	−4.93119	+	15.1766i	−0.626261	+	1.92743i
$63$	7.14827	−	3.44997i	0.900597	−	0.434656i
$64$	−0.740386	−	2.27867i	−0.0925482	−	0.284834i
$65$	−0.122128	−	2.81331i	−0.0151482	−	0.348948i
$66$	−1.43592	+	6.24668i	−0.176750	+	0.768913i
$67$	0.826821	−	7.86667i	0.101012	−	0.961067i	−0.820218	−	0.572050i	$-0.806148\pi$
$67$	0.826821	−	7.86667i	0.101012	−	0.961067i	0.921231	−	0.389017i	$-0.127185\pi$
$68$	0.329237	−	0.570255i	0.0399258	−	0.0691535i
$69$	−1.02742	−	1.84938i	−0.123687	−	0.222639i
$70$	−6.69131	−	7.39492i	−0.799764	−	0.883862i
$71$	−8.49151	−	11.6876i	−1.00776	−	1.38706i	−0.920443	−	0.390878i	$-0.872172\pi$
$71$	−8.49151	−	11.6876i	−1.00776	−	1.38706i	−0.0873143	−	0.996181i	$-0.527828\pi$
$72$	4.22152	+	4.06123i	0.497510	+	0.478621i
$73$	4.44481	+	4.00212i	0.520225	+	0.468413i	0.886917	−	0.461930i	$-0.152843\pi$
$73$	4.44481	+	4.00212i	0.520225	+	0.468413i	−0.366691	+	0.930343i	$0.619509\pi$
$74$	−6.61176	+	3.81730i	−0.768601	+	0.443752i
$75$	−1.20142	+	8.57651i	−0.138728	+	0.990330i
$76$			3.69682i			0.424054i
$77$	−0.842971	+	5.74657i	−0.0960654	+	0.654883i
$78$	−0.705018	−	3.60874i	−0.0798276	−	0.408609i
$79$	−0.785222	−	7.47089i	−0.0883444	−	0.840541i	−0.945530	−	0.325534i	$-0.894456\pi$
$79$	−0.785222	−	7.47089i	−0.0883444	−	0.840541i	0.857186	−	0.515007i	$-0.172211\pi$
$80$	5.13908	−	9.86608i	0.574567	−	1.10306i
$81$	−8.66070	−	2.44791i	−0.962300	−	0.271990i
$82$	−14.1980	−	8.19725i	−1.56791	−	0.905234i
$83$	−3.10880	−	2.25868i	−0.341235	−	0.247922i	0.403948	−	0.914782i	$-0.367638\pi$
$83$	−3.10880	−	2.25868i	−0.341235	−	0.247922i	−0.745183	+	0.666860i	$0.767638\pi$
$84$	−2.98510	−	2.44249i	−0.325701	−	0.266497i
$85$	−1.69376	+	0.437585i	−0.183714	+	0.0474627i
$86$	−0.933108	+	4.38993i	−0.100620	+	0.473378i
$87$	−8.65470	−	1.98946i	−0.927882	−	0.213292i
$88$	−4.19283	+	0.891212i	−0.446957	+	0.0950036i
$89$	4.03187	+	0.857000i	0.427377	+	0.0908418i	0.416578	−	0.909100i	$-0.363229\pi$
$89$	4.03187	+	0.857000i	0.427377	+	0.0908418i	0.0107989	+	0.999942i	$0.496563\pi$
$90$	0.117300	+	11.3076i	0.0123645	+	1.19192i
$91$	−0.899076	−	3.20829i	−0.0942488	−	0.336320i
$92$	−0.604276	+	0.831715i	−0.0630001	+	0.0867122i
$93$	13.4221	−	9.41720i	1.39180	−	0.976518i
$94$	−8.41130	−	0.884063i	−0.867559	−	0.0911842i
$95$	7.00680	−	6.88213i	0.718883	−	0.706092i
$96$	2.51994	−	7.34105i	0.257191	−	0.749243i
$97$	−0.395447	−	0.544286i	−0.0401515	−	0.0552638i	0.788469	−	0.615074i	$-0.210874\pi$
$97$	−0.395447	−	0.544286i	−0.0401515	−	0.0552638i	−0.828621	+	0.559810i	$0.810874\pi$
$98$	−9.70247	−	6.71593i	−0.980098	−	0.678412i
$99$	5.03693	−	4.24279i	0.506231	−	0.426416i
$100$	4.02508	−	1.22839i	0.402508	−	0.122839i
$101$	−1.21998	−	2.11307i	−0.121393	−	0.210259i	0.798924	−	0.601432i	$-0.205403\pi$
$101$	−1.21998	−	2.11307i	−0.121393	−	0.210259i	−0.920317	+	0.391173i	$0.872069\pi$
$102$	−2.10182	+	0.894521i	−0.208111	+	0.0885708i
$103$	−7.34099	+	0.771569i	−0.723329	+	0.0760250i	−0.459036	−	0.888418i	$-0.651805\pi$
$103$	−7.34099	+	0.771569i	−0.723329	+	0.0760250i	−0.264293	+	0.964442i	$0.585139\pi$
$104$	1.98938	−	1.44537i	0.195075	−	0.141730i
$105$	0.927776	+	10.2049i	0.0905416	+	0.995893i
$106$	6.73375	+	4.89236i	0.654040	+	0.475188i
$107$	14.3696	+	8.29629i	1.38916	+	0.802033i	0.993221	−	0.116243i	$-0.0370851\pi$
$107$	14.3696	+	8.29629i	1.38916	+	0.802033i	0.395941	+	0.918276i	$0.370418\pi$
$108$	0.696439	+	4.31763i	0.0670149	+	0.415465i
$109$	7.95423	−	1.69072i	0.761877	−	0.161942i	0.189442	−	0.981892i	$-0.439332\pi$
$109$	7.95423	−	1.69072i	0.761877	−	0.161942i	0.572435	+	0.819950i	$0.305999\pi$
$110$	−6.89906	−	4.56886i	−0.657799	−	0.435624i
$111$	7.78684	+	0.948611i	0.739094	+	0.0900382i
$112$	3.26118	−	12.7520i	0.308153	−	1.20495i
$113$	9.27098	+	3.01232i	0.872140	+	0.283376i	0.710690	−	0.703505i	$-0.248383\pi$
$113$	9.27098	+	3.01232i	0.872140	+	0.283376i	0.161450	+	0.986881i	$0.448383\pi$
$114$	7.70814	−	10.2493i	0.721934	−	0.959931i
$115$	2.70134	−	0.403029i	0.251901	−	0.0375827i
$116$	0.897208	+	4.22103i	0.0833037	+	0.391913i
$117$	−1.64973	+	3.39878i	−0.152517	+	0.314218i
$118$			5.67628i			0.522544i
$119$	−1.83342	+	0.960721i	−0.168069	+	0.0880691i
$120$	−6.82352	+	3.26050i	−0.622899	+	0.297642i
$121$	−0.646080	−	6.14704i	−0.0587345	−	0.558822i
$122$	19.9325	+	8.87450i	1.80460	+	0.803460i
$123$	6.59658	+	15.4997i	0.594793	+	1.39756i
$124$	−6.90009	−	3.98377i	−0.619646	−	0.357753i
$125$	−9.82148	−	5.34215i	−0.878460	−	0.477816i
$126$	3.18328	+	12.9958i	0.283589	+	1.15776i
$127$	4.98753	+	15.3500i	0.442572	+	1.36210i	0.885125	+	0.465354i	$0.154073\pi$
$127$	4.98753	+	15.3500i	0.442572	+	1.36210i	−0.442553	+	0.896742i	$0.645927\pi$
$128$	12.9299	−	1.35899i	1.14285	−	0.120119i
$129$	3.47735	−	3.02861i	0.306164	−	0.266654i
$130$	4.68164	+	0.784638i	0.410607	+	0.0688173i
$131$	−19.8300	+	8.82890i	−1.73256	+	0.771385i	−0.737143	+	0.675737i	$0.763826\pi$
$131$	−19.8300	+	8.82890i	−1.73256	+	0.771385i	−0.995415	+	0.0956478i	$0.969508\pi$
$132$	−2.90170	−	1.34974i	−0.252561	−	0.117480i
$133$	6.21735	−	9.81770i	0.539113	−	0.851302i
$134$	12.6815	+	4.12046i	1.09551	+	0.355954i
$135$	6.88696	−	9.35787i	0.592735	−	0.805397i
$136$	−1.13524	−	1.02218i	−0.0973464	−	0.0876511i
$137$	−3.84407	−	18.0849i	−0.328421	−	1.54510i	−0.764160	−	0.645027i	$-0.776846\pi$
$137$	−3.84407	−	18.0849i	−0.328421	−	1.54510i	0.435739	−	0.900073i	$-0.356487\pi$
$138$	3.40952	−	1.04593i	0.290237	−	0.0890354i
$139$	−2.02267	+	0.657206i	−0.171561	+	0.0557435i	−0.393538	−	0.919308i	$-0.628749\pi$
$139$	−2.02267	+	0.657206i	−0.171561	+	0.0557435i	0.221977	+	0.975052i	$0.428749\pi$
$140$	4.30616	−	2.50025i	0.363937	−	0.211310i
$141$	6.36112	+	5.92058i	0.535703	+	0.498603i
$142$	22.2476	−	9.90527i	1.86698	−	0.831232i
$143$	−1.38227	−	2.39417i	−0.115592	−	0.200211i
$144$	−12.3574	+	8.36928i	−1.02978	+	0.697440i
$145$	6.33011	−	9.55856i	0.525687	−	0.793796i
$146$	−8.15688	+	5.92632i	−0.675068	+	0.490466i
$147$	3.81977	+	11.5069i	0.315050	+	0.949075i
$148$	−1.17794	−	3.62533i	−0.0968261	−	0.298000i
$149$	−8.86465	−	5.11801i	−0.726221	−	0.419284i	0.0908173	−	0.995868i	$-0.471052\pi$
$149$	−8.86465	−	5.11801i	−0.726221	−	0.419284i	−0.817038	+	0.576584i	$0.804385\pi$
$150$	−13.7206	−	4.98693i	−1.12028	−	0.407181i
$151$	−4.96524	−	8.60005i	−0.404066	−	0.699862i	0.590147	−	0.807296i	$-0.299070\pi$
$151$	−4.96524	−	8.60005i	−0.404066	−	0.699862i	−0.994212	+	0.107434i	$0.965737\pi$
$152$	8.38900	+	1.78314i	0.680438	+	0.144631i
$153$	2.27838	+	0.563478i	0.184196	+	0.0455545i
$154$	−9.18001	−	3.40403i	−0.739746	−	0.274305i
$155$	5.29478	+	20.4945i	0.425287	+	1.64616i
$156$	1.83563	+	0.0303003i	0.146968	+	0.00242596i
$157$	14.0521	−	8.11298i	1.12148	−	0.647486i	0.179701	−	0.983721i	$-0.442487\pi$
$157$	14.0521	−	8.11298i	1.12148	−	0.647486i	0.941778	+	0.336235i	$0.109154\pi$
$158$	12.5939	+	1.32367i	1.00191	+	0.105305i
$159$	−2.50815	−	8.17605i	−0.198909	−	0.648403i
$160$	7.73014	+	6.37548i	0.611121	+	0.504026i
$161$	3.00357	−	1.19252i	0.236715	−	0.0939837i
$162$	7.07175	−	13.4226i	0.555609	−	1.05458i
$163$	13.0430	+	14.4858i	1.02161	+	1.13461i	0.990834	+	0.135086i	$0.0431309\pi$
$163$	13.0430	+	14.4858i	1.02161	+	1.13461i	0.0307752	+	0.999526i	$0.490202\pi$
$164$	5.47726	−	6.08312i	0.427702	−	0.475012i
$165$	2.84367	+	8.01249i	0.221380	+	0.623772i
$166$	4.81388	−	4.33444i	0.373630	−	0.336418i
$167$	6.75473	+	4.90760i	0.522697	+	0.379761i	0.817619	−	0.575760i	$-0.195294\pi$
$167$	6.75473	+	4.90760i	0.522697	+	0.379761i	−0.294922	+	0.955521i	$0.595294\pi$
$168$	−6.98245	+	5.59581i	−0.538708	+	0.431726i
$169$	−9.23418	−	6.70903i	−0.710322	−	0.516079i
$170$	−0.127897	−	2.94618i	−0.00980922	−	0.225962i
$171$	−12.6594	+	3.65601i	−0.968087	+	0.279582i
$172$	−2.04709	−	0.911425i	−0.156090	−	0.0694955i
$173$	−15.7985	−	3.35808i	−1.20114	−	0.255310i	−0.436463	−	0.899722i	$-0.643769\pi$
$173$	−15.7985	−	3.35808i	−1.20114	−	0.255310i	−0.764678	+	0.644412i	$0.777102\pi$
$174$	6.31371	−	13.5734i	0.478641	−	1.02899i
$175$	−12.7554	−	3.50716i	−0.964217	−	0.265116i
$176$		−	10.9212i		−	0.823216i
$177$	3.50553	−	4.66119i	0.263492	−	0.350356i
$178$	−2.82619	+	6.34773i	−0.211832	+	0.475783i
$179$	2.43139	−	5.46099i	0.181731	−	0.408173i	−0.799592	−	0.600544i	$-0.794951\pi$
$179$	2.43139	−	5.46099i	0.181731	−	0.408173i	0.981322	+	0.192370i	$0.0616175\pi$
$180$	−5.53459	−	1.11654i	−0.412524	−	0.0832218i
$181$	3.14603	−	4.33014i	0.233843	−	0.321857i	−0.675928	−	0.736967i	$-0.736257\pi$
$181$	3.14603	−	4.33014i	0.233843	−	0.321857i	0.909771	+	0.415110i	$0.136257\pi$
$182$	5.60522	−	0.358028i	0.415487	−	0.0265388i
$183$	−10.8872	−	19.5973i	−0.804808	−	1.44867i
$184$	1.59590	+	1.77243i	0.117651	+	0.130665i
$185$	−4.67841	+	8.98167i	−0.343963	+	0.660345i
$186$	10.8237	+	25.4320i	0.793634	+	1.86477i
$187$	−1.27630	+	1.14919i	−0.0933324	+	0.0840368i
$188$	1.30493	−	4.01615i	0.0951715	−	0.292908i
$189$	5.41190	−	12.6377i	0.393658	−	0.919257i
$190$	8.89210	+	13.9655i	0.645101	+	1.01316i
$191$	1.52458	−	1.37274i	0.110315	−	0.0993277i	−0.612128	−	0.790759i	$-0.709686\pi$
$191$	1.52458	−	1.37274i	0.110315	−	0.0993277i	0.722442	+	0.691431i	$0.243019\pi$
$192$	−3.55917	−	2.13398i	−0.256861	−	0.154007i
$193$	3.56074	+	6.16739i	0.256308	+	0.443938i	0.965250	−	0.261328i	$-0.0841605\pi$
$193$	3.56074	+	6.16739i	0.256308	+	0.443938i	−0.708942	+	0.705267i	$0.750827\pi$
$194$	1.03606	−	0.461285i	0.0743850	−	0.0331183i
$195$	−3.35984	−	3.53558i	−0.240603	−	0.253188i
$196$	4.28714	−	4.04134i	0.306224	−	0.288667i
$197$	−9.54977	−	13.1441i	−0.680393	−	0.936481i	0.319545	−	0.947571i	$-0.396470\pi$
$197$	−9.54977	−	13.1441i	−0.680393	−	0.936481i	−0.999939	+	0.0110901i	$0.996470\pi$
$198$	5.23053	+	9.79235i	0.371717	+	0.695912i
$199$	−20.6700	+	11.9339i	−1.46526	+	0.845968i	−0.999247	−	0.0388093i	$-0.987644\pi$
$199$	−20.6700	+	11.9339i	−1.46526	+	0.845968i	−0.466013	+	0.884778i	$0.654310\pi$
$200$	−0.846060	−	9.72641i	−0.0598255	−	0.687761i
$201$	−7.86894	−	11.2154i	−0.555032	−	0.791071i
$202$	3.91181	−	1.27102i	0.275234	−	0.0894288i
$203$	4.71625	−	12.7188i	0.331016	−	0.892685i
$204$	−0.218681	−	1.11935i	−0.0153107	−	0.0783700i
$205$	−21.7264	+	0.943163i	−1.51744	+	0.0658734i
$206$	1.30065	−	12.3749i	0.0906208	−	0.862199i
$207$	−3.44573	−	1.24675i	−0.239495	−	0.0866551i
$208$	2.54825	+	5.72346i	0.176689	+	0.396850i
$209$	2.97956	−	9.17013i	0.206100	−	0.634311i
$210$	−17.1518	−	2.04682i	−1.18359	−	0.141244i
$211$	−0.928347	−	2.85716i	−0.0639101	−	0.196695i	0.914003	−	0.405708i	$-0.132975\pi$
$211$	−0.928347	−	2.85716i	−0.0639101	−	0.196695i	−0.977913	+	0.209013i	$0.932975\pi$
$212$	−3.08836	+	2.78077i	−0.212109	+	0.190984i
$213$	−24.3863	−	5.60567i	−1.67092	−	0.384094i
$214$	−18.7159	+	20.7862i	−1.27940	+	1.42091i
$215$	2.08347	+	5.57673i	0.142091	+	0.380330i
$216$	10.1337	+	0.502190i	0.689512	+	0.0341697i
$217$	11.6247	+	22.1844i	0.789138	+	1.50598i
$218$			13.7082i			0.928437i
$219$	10.3581	+	0.170979i	0.699937	+	0.0115537i
$220$	2.94753	−	2.89508i	0.198722	−	0.195186i
$221$	0.400729	−	0.900053i	0.0269560	−	0.0605441i
$222$	−4.29330	+	12.5072i	−0.288147	+	0.839425i
$223$	−17.9240	+	5.82387i	−1.20028	+	0.389995i	−0.839864	−	0.542797i	$-0.817365\pi$
$223$	−17.9240	+	5.82387i	−1.20028	+	0.389995i	−0.360417	+	0.932791i	$0.617365\pi$
$224$	10.6245	+	5.26141i	0.709880	+	0.351542i
$225$	8.18715	+	12.5686i	0.545810	+	0.837909i
$226$	−8.21629	+	14.2310i	−0.546540	+	0.946635i
$227$	−5.40991	+	6.00831i	−0.359068	+	0.398786i	−0.895430	−	0.445203i	$-0.853132\pi$
$227$	−5.40991	+	6.00831i	−0.359068	+	0.398786i	0.536362	+	0.843988i	$0.319798\pi$
$228$	4.20537	+	4.82848i	0.278508	+	0.319774i
$229$	27.2042	−	2.85928i	1.79770	−	0.188946i	0.854119	−	0.520077i	$-0.174097\pi$
$229$	27.2042	−	2.85928i	1.79770	−	0.188946i	0.943585	+	0.331131i	$0.107430\pi$
$230$	−0.282222	+	4.59547i	−0.0186091	+	0.303016i
$231$	5.43609	+	8.46463i	0.357668	+	0.556932i
$232$	10.0113			0.657277
$233$	−7.99004	−	17.9459i	−0.523445	−	1.17568i	−0.961016	−	0.276493i	$-0.910828\pi$
$233$	−7.99004	−	17.9459i	−0.523445	−	1.17568i	0.437571	−	0.899184i	$-0.355839\pi$
$234$	−5.02601	−	3.91143i	−0.328561	−	0.255698i
$235$	−10.0414	+	5.00331i	−0.655026	+	0.326380i
$236$	−2.77219	−	0.589247i	−0.180454	−	0.0383567i
$237$	−9.52423	−	8.86462i	−0.618665	−	0.575819i
$238$	−0.941540	−	3.35982i	−0.0610310	−	0.217785i
$239$	18.4767	−	6.00343i	1.19516	−	0.388330i	0.357180	−	0.934036i	$-0.383738\pi$
$239$	18.4767	−	6.00343i	1.19516	−	0.388330i	0.837977	+	0.545706i	$0.183738\pi$
$240$	−4.51107	−	18.7323i	−0.291188	−	1.20917i
$241$	3.97483	+	18.7001i	0.256041	+	1.20458i	0.898747	+	0.438467i	$0.144478\pi$
$241$	3.97483	+	18.7001i	0.256041	+	1.20458i	−0.642706	+	0.766113i	$0.722188\pi$
$242$	10.3622	+	1.08911i	0.666109	+	0.0700108i
$243$	−14.0966	+	6.65486i	−0.904294	+	0.426909i
$244$	−6.40330	+	8.81339i	−0.409929	+	0.564220i
$245$	−15.6409	−	0.602176i	−0.999260	−	0.0384716i
$246$	−27.8692	+	5.44465i	−1.77688	+	0.347138i
$247$	0.578179	+	5.50100i	0.0367886	+	0.350021i
$248$	−12.3684	+	13.7365i	−0.785393	+	0.872267i
$249$	−6.62985	+	0.586371i	−0.420150	+	0.0371597i
$250$	12.2509	−	14.3222i	0.774812	−	0.905815i
$251$	−1.19031			−0.0751320			−0.0375660	−	0.999294i	$-0.511960\pi$
$251$	−1.19031			−0.0751320			−0.0375660	+	0.999294i	$0.511960\pi$
$252$	−6.67738	+	0.205573i	−0.420635	+	0.0129499i
$253$	2.16928	−	1.57608i	0.136382	−	0.0990870i
$254$	−27.0585	+	2.84397i	−1.69780	+	0.178446i
$255$	−1.71446	+	2.49830i	−0.107364	+	0.156450i
$256$	−1.78999	+	17.0306i	−0.111874	+	1.06441i
$257$	7.20050	−	12.4716i	0.449155	−	0.777959i	−0.549176	−	0.835706i	$-0.685058\pi$
$257$	7.20050	−	12.4716i	0.449155	−	0.777959i	0.998331	+	0.0577475i	$0.0183918\pi$
$258$	3.77509	+	6.79523i	0.235027	+	0.423053i
$259$	−2.96884	+	11.6089i	−0.184475	+	0.721343i
$260$	−0.869197	+	2.20497i	−0.0539053	+	0.136747i
$261$	−13.5672	+	7.24684i	−0.839788	+	0.448568i
$262$	−7.60780	−	35.7919i	−0.470011	−	2.21123i
$263$	1.37931	+	6.48916i	0.0850521	+	0.400139i	0.999994	−	0.00344680i	$-0.00109715\pi$
$263$	1.37931	+	6.48916i	0.0850521	+	0.400139i	−0.914942	+	0.403585i	$0.867764\pi$
$264$	−4.46251	+	5.93364i	−0.274648	+	0.365191i
$265$	11.0200	+	0.676770i	0.676951	+	0.0415736i
$266$	14.0092	+	13.6926i	0.858960	+	0.839549i
$267$	6.24099	−	3.46717i	0.381942	−	0.212188i
$268$	−3.32880	+	5.76566i	−0.203339	+	0.352194i
$269$	0.135180	−	1.28616i	0.00824209	−	0.0784183i	−0.989628	−	0.143656i	$-0.954114\pi$
$269$	0.135180	−	1.28616i	0.00824209	−	0.0784183i	0.997870	+	0.0652381i	$0.0207807\pi$
$270$	13.0163	+	14.6356i	0.792149	+	0.890694i
$271$	−32.2908	+	3.39390i	−1.96153	+	0.206165i	−0.998090	−	0.0617771i	$-0.980323\pi$
$271$	−32.2908	+	3.39390i	−1.96153	+	0.206165i	−0.963435	+	0.267942i	$0.913657\pi$
$272$	3.14877	−	2.28772i	0.190922	−	0.138713i
$273$	−4.82394	−	3.16765i	−0.291958	−	0.191715i
$274$	31.1673			1.88289
$275$	−10.9745	−	0.197038i	−0.661785	−	0.0118818i
$276$	0.156875	+	1.77372i	0.00944277	+	0.106765i
$277$	−12.3630	+	13.7306i	−0.742823	+	0.824989i	−0.989564	−	0.144093i	$-0.953974\pi$
$277$	−12.3630	+	13.7306i	−0.742823	+	0.824989i	0.246741	+	0.969082i	$0.420640\pi$
$278$	−0.374749	−	3.56550i	−0.0224760	−	0.213844i
$279$	6.81809	−	27.5684i	0.408188	−	1.65048i
$280$	−3.59665	−	10.9777i	−0.214941	−	0.656045i
$281$	−11.7527	+	16.1762i	−0.701107	+	0.964991i	0.298836	+	0.954304i	$0.403402\pi$
$281$	−11.7527	+	16.1762i	−0.701107	+	0.964991i	−0.999943	+	0.0106863i	$0.996598\pi$
$282$	−11.9918	+	8.41372i	−0.714103	+	0.501030i
$283$	−21.8741	−	2.29906i	−1.30028	−	0.136665i	−0.571039	−	0.820923i	$-0.693460\pi$
$283$	−21.8741	−	2.29906i	−1.30028	−	0.136665i	−0.729240	+	0.684258i	$0.760126\pi$
$284$	2.52806	+	11.8936i	0.150013	+	0.705753i
$285$	1.32283	−	16.9596i	0.0783576	−	1.00460i
$286$	4.43218	−	1.44010i	0.262080	−	0.0851550i
$287$	−24.7767	+	6.94331i	−1.46252	+	0.409851i
$288$	−5.05959	−	12.4549i	−0.298139	−	0.733911i
$289$	16.0298	+	3.40724i	0.942931	+	0.200426i
$290$	13.5424	+	13.7877i	0.795238	+	0.809644i
$291$	−1.13566	−	0.261054i	−0.0665736	−	0.0153033i
$292$	−2.04755	−	4.59887i	−0.119824	−	0.269129i
$293$	−0.882006			−0.0515273			−0.0257637	−	0.999668i	$-0.508202\pi$
$293$	−0.882006			−0.0515273			−0.0257637	+	0.999668i	$0.508202\pi$
$294$	−20.3124	+	2.26541i	−1.18464	+	0.132121i
$295$	4.04398	+	6.35127i	0.235449	+	0.369785i
$296$	−8.79494	+	0.924386i	−0.511196	+	0.0537288i
$297$	1.75237	−	11.2714i	0.101683	−	0.654034i
$298$	11.5459	−	12.8231i	0.668838	−	0.742819i
$299$	−0.769107	+	1.33213i	−0.0444786	+	0.0770392i
$300$	3.85984	−	6.18322i	0.222848	−	0.356988i
$301$	3.90366	+	5.86332i	0.225003	+	0.337956i
$302$	15.9207	−	5.17296i	0.916136	−	0.297671i
$303$	−3.99720	−	1.37211i	−0.229633	−	0.0788257i
$304$	−8.88765	+	19.9620i	−0.509741	+	1.14490i
$305$	28.6252	−	4.27076i	1.63907	−	0.244543i
$306$	−1.72764	+	3.55931i	−0.0987628	+	0.203472i
$307$			34.0979i			1.94607i	0.230659	+	0.973035i	$0.425912\pi$
$307$			34.0979i			1.94607i	−0.230659	+	0.973035i	$0.574088\pi$
$308$	2.61543	−	4.12998i	0.149028	−	0.235327i
$309$	−8.71048	+	9.35862i	−0.495522	+	0.532393i
$310$	−35.6488	+	1.54755i	−2.02472	+	0.0878950i
$311$	9.09321	−	10.0990i	0.515629	−	0.572664i	−0.427954	−	0.903801i	$-0.640765\pi$
$311$	9.09321	−	10.0990i	0.515629	−	0.572664i	0.943583	+	0.331137i	$0.107432\pi$
$312$	0.954162	−	4.15088i	0.0540188	−	0.234997i
$313$	−4.79174	+	4.31450i	−0.270845	+	0.243870i	−0.793349	−	0.608767i	$-0.791665\pi$
$313$	−4.79174	+	4.31450i	−0.270845	+	0.243870i	0.522504	+	0.852637i	$0.324998\pi$
$314$	8.45239	+	26.0138i	0.476996	+	1.46804i
$315$	12.8205	+	12.2733i	0.722353	+	0.691525i
$316$	−1.95381	+	6.01320i	−0.109910	+	0.338269i
$317$	−0.580388	−	1.30357i	−0.0325978	−	0.0732159i	0.896513	−	0.443018i	$-0.146092\pi$
$317$	−0.580388	−	1.30357i	−0.0325978	−	0.0732159i	−0.929111	+	0.369802i	$0.879426\pi$
$318$	14.3605	−	1.27010i	0.805294	−	0.0712235i
$319$	1.17650	−	11.1936i	0.0658711	−	0.626722i
$320$	4.19364	−	3.33406i	0.234432	−	0.186380i
$321$	28.2060	−	5.51044i	1.57430	−	0.307563i
$322$	0.913633	+	5.37051i	0.0509148	+	0.299287i
$323$	3.26805	−	1.06186i	0.181839	−	0.0590832i
$324$	5.82123	+	4.84709i	0.323401	+	0.269283i
$325$	5.79735	−	2.45741i	0.321579	−	0.136313i
$326$	−28.4567	+	16.4295i	−1.57607	+	0.909946i
$327$	8.46585	−	11.2567i	0.468163	−	0.622500i
$328$	−11.1622	−	15.3634i	−0.616329	−	0.848304i
$329$	−10.2199	+	8.47111i	−0.563442	+	0.467028i
$330$	−14.2084	+	1.88066i	−0.782144	+	0.103527i
$331$	−9.83627	+	4.37939i	−0.540650	+	0.240713i	−0.658847	−	0.752277i	$-0.728955\pi$
$331$	−9.83627	+	4.37939i	−0.540650	+	0.240713i	0.118196	+	0.992990i	$0.462289\pi$
$332$	1.61714	+	2.80096i	0.0887519	+	0.153723i
$333$	11.2496	−	7.61905i	0.616476	−	0.417521i
$334$	−10.4595	+	9.41777i	−0.572318	+	0.515317i
$335$	17.1250	−	4.42428i	0.935640	−	0.241724i
$336$	−10.2468	−	20.3655i	−0.559009	−	1.11103i
$337$	2.78607	−	8.57465i	0.151767	−	0.467091i	−0.846052	−	0.533101i	$-0.821027\pi$
$337$	2.78607	−	8.57465i	0.151767	−	0.467091i	0.997819	+	0.0660094i	$0.0210267\pi$
$338$	14.2988	−	12.8747i	0.777755	−	0.700293i
$339$	15.5357	−	6.61190i	0.843784	−	0.359109i
$340$	1.45214	+	0.243377i	0.0787532	+	0.0131990i
$341$	13.9052	+	15.4433i	0.753007	+	0.836299i
$342$	−1.59146	−	22.1553i	−0.0860566	−	1.19802i
$343$	−18.1822	+	3.52248i	−0.981746	+	0.190196i
$344$	−3.05566	+	4.20575i	−0.164750	+	0.226759i
$345$	3.06980	−	3.59936i	0.165272	−	0.193783i
$346$	11.0742	−	24.8731i	0.595353	−	1.33719i
$347$	−5.20495	+	11.6905i	−0.279416	+	0.627579i	−0.997672	−	0.0682003i	$-0.978274\pi$
$347$	−5.20495	+	11.6905i	−0.279416	+	0.627579i	0.718255	+	0.695780i	$0.244941\pi$
$348$	5.97356	+	4.49253i	0.320217	+	0.240825i
$349$			24.7394i			1.32427i	0.749384	+	0.662135i	$0.230350\pi$
$349$			24.7394i			1.32427i	−0.749384	+	0.662135i	$0.769650\pi$
$350$	10.2534	−	19.8030i	0.548069	−	1.05852i
$351$	1.71160	+	6.31588i	0.0913586	+	0.337117i
$352$	9.62217	+	2.04526i	0.512864	+	0.109013i
$353$	−11.3424	−	5.04995i	−0.603693	−	0.268782i	0.0820463	−	0.996629i	$-0.473854\pi$
$353$	−11.3424	−	5.04995i	−0.603693	−	0.268782i	−0.685740	+	0.727847i	$0.740521\pi$
$354$	6.45715	+	7.41389i	0.343194	+	0.394044i
$355$	17.8363	−	26.9331i	0.946652	−	1.42946i
$356$	−2.80673	−	2.03921i	−0.148756	−	0.108078i
$357$	−1.30178	+	3.34045i	−0.0688974	+	0.176795i
$358$	8.15240	+	5.92307i	0.430868	+	0.313044i
$359$	0.736520	−	0.663166i	0.0388720	−	0.0350005i	−0.649466	−	0.760391i	$-0.725007\pi$
$359$	0.736520	−	0.663166i	0.0388720	−	0.0350005i	0.688338	+	0.725390i	$0.258341\pi$
$360$	−5.20328	+	12.0208i	−0.274237	+	0.633552i
$361$	−0.195251	+	0.216848i	−0.0102764	+	0.0114131i
$362$	6.03729	+	6.70509i	0.317313	+	0.352412i
$363$	−7.83652	−	7.29380i	−0.411311	−	0.382825i
$364$	−0.407017	+	2.77465i	−0.0213335	+	0.145431i
$365$	−4.90473	+	12.4423i	−0.256725	+	0.651258i
$366$	36.1295	−	11.0833i	1.88852	−	0.579336i
$367$	18.8116	+	1.97718i	0.981958	+	0.103208i	0.581881	−	0.813274i	$-0.302317\pi$
$367$	18.8116	+	1.97718i	0.981958	+	0.103208i	0.400077	+	0.916482i	$0.368983\pi$
$368$	−5.26251	+	3.03831i	−0.274327	+	0.158383i
$369$	26.2478	+	12.7404i	1.36641	+	0.663237i
$370$	−13.1701	−	10.8621i	−0.684679	−	0.564693i
$371$	12.8785	−	2.19090i	0.668620	−	0.113746i
$372$	−13.5441	+	2.64604i	−0.702230	+	0.137191i
$373$	8.67738	+	1.84443i	0.449298	+	0.0955011i	0.427003	−	0.904250i	$-0.359569\pi$
$373$	8.67738	+	1.84443i	0.449298	+	0.0955011i	0.0222947	+	0.999751i	$0.492903\pi$
$374$	−1.44756	−	2.50725i	−0.0748515	−	0.129647i
$375$	−18.9051	+	4.19511i	−0.976253	+	0.216634i
$376$	−8.48422	−	4.89837i	−0.437540	−	0.252614i
$377$	1.99525	+	6.14074i	0.102760	+	0.316264i
$378$	18.9414	+	13.3529i	0.974239	+	0.686799i
$379$	−7.77722	+	5.65048i	−0.399489	+	0.290246i	−0.769333	−	0.638848i	$-0.779411\pi$
$379$	−7.77722	+	5.65048i	−0.399489	+	0.290246i	0.369844	+	0.929094i	$0.379411\pi$
$380$	−7.74356	+	2.89300i	−0.397236	+	0.148408i
$381$	23.9760	+	14.3753i	1.22833	+	0.736469i
$382$	1.72915	+	2.99498i	0.0884711	+	0.153236i
$383$	1.99906	−	0.890041i	0.102147	−	0.0454790i	−0.355027	−	0.934856i	$-0.615528\pi$
$383$	1.99906	−	0.890041i	0.102147	−	0.0454790i	0.457174	+	0.889377i	$0.348862\pi$
$384$	15.3420	−	16.4836i	0.782920	−	0.841176i
$385$	−12.6968	+	2.73133i	−0.647088	+	0.139202i
$386$	−11.4173	+	3.70971i	−0.581126	+	0.188819i
$387$	1.09659	−	7.91144i	0.0557427	−	0.402161i
$388$	0.117731	+	0.553879i	0.00597687	+	0.0281190i
$389$	−7.76845	−	6.99474i	−0.393876	−	0.354647i	0.448269	−	0.893899i	$-0.352041\pi$
$389$	−7.76845	−	6.99474i	−0.393876	−	0.354647i	−0.842145	+	0.539251i	$0.818707\pi$
$390$	7.00734	−	4.30084i	0.354831	−	0.217782i
$391$	0.908821	+	0.295294i	0.0459610	+	0.0149336i
$392$	−7.10292	−	11.6779i	−0.358752	−	0.589823i
$393$	−15.8569	+	34.0896i	−0.799875	+	1.71959i
$394$	25.0202	−	11.1397i	1.26050	−	0.561211i
$395$	15.0345	−	7.49123i	0.756466	−	0.376925i
$396$	−5.32538	+	1.53796i	−0.267610	+	0.0772854i
$397$	−10.6983	+	1.12444i	−0.536932	+	0.0564338i	−0.369114	−	0.929384i	$-0.620339\pi$
$397$	−10.6983	+	1.12444i	−0.536932	+	0.0564338i	−0.167818	+	0.985818i	$0.553672\pi$
$398$	−12.4331	−	38.2652i	−0.623215	−	1.91806i
$399$	−3.04769	−	19.8957i	−0.152575	−	0.996031i
$400$	24.6877	+	3.04378i	1.23439	+	0.152189i
$401$	16.6093	+	9.58939i	0.829429	+	0.478871i	0.853657	−	0.520835i	$-0.174379\pi$
$401$	16.6093	+	9.58939i	0.829429	+	0.478871i	−0.0242278	+	0.999706i	$0.507713\pi$
$402$	21.2508	−	9.04422i	1.05989	−	0.451084i
$403$	−10.8907	−	4.84883i	−0.542502	−	0.241537i
$404$	0.214664	+	2.04240i	0.0106800	+	0.101613i
$405$	−1.65002	−	20.0569i	−0.0819903	−	0.996633i
$406$	19.3189	+	12.2343i	0.958782	+	0.607177i
$407$			9.94220i			0.492816i
$408$	−2.64556	−	0.0436696i	−0.130975	−	0.00216197i
$409$	−2.74410	−	12.9100i	−0.135687	−	0.638357i	−0.992450	−	0.122647i	$-0.960862\pi$
$409$	−2.74410	−	12.9100i	−0.135687	−	0.638357i	0.856763	−	0.515710i	$-0.172472\pi$
$410$	6.05953	−	36.1549i	0.299259	−	1.78556i
$411$	−25.5936	−	19.2482i	−1.26244	−	0.949442i
$412$	5.90865	+	1.91984i	0.291098	+	0.0945835i
$413$	6.37115	+	6.22718i	0.313504	+	0.306419i
$414$	3.26342	−	5.24466i	0.160388	−	0.257761i
$415$	2.29832	−	8.27944i	0.112820	−	0.406422i
$416$	−5.51990	+	1.17329i	−0.270636	+	0.0575254i
$417$	−1.89423	+	3.15931i	−0.0927609	+	0.154712i
$418$	14.0762	+	8.12692i	0.688492	+	0.397501i
$419$	23.2528	+	16.8941i	1.13597	+	0.825332i	0.986553	−	0.163441i	$-0.0522595\pi$
$419$	23.2528	+	16.8941i	1.13597	+	0.825332i	0.149420	+	0.988774i	$0.452259\pi$
$420$	2.78014	−	8.16416i	0.135657	−	0.398370i
$421$	28.3530	−	20.5997i	1.38184	−	1.00397i	0.385138	−	0.922859i	$-0.374154\pi$
$421$	28.3530	−	20.5997i	1.38184	−	1.00397i	0.996705	−	0.0811084i	$-0.0258460\pi$
$422$	5.03650	−	0.529358i	0.245173	−	0.0257687i
$423$	15.0434	+	0.496772i	0.731436	+	0.0241539i
$424$	4.82061	+	8.34954i	0.234110	+	0.405490i
$425$	−2.24207	−	3.20540i	−0.108756	−	0.155485i
$426$	17.7901	−	38.2456i	0.861932	−	1.85300i
$427$	31.8278	−	12.6367i	1.54026	−	0.611534i
$428$	−8.20870	−	11.2983i	−0.396782	−	0.546124i
$429$	−4.52894	−	1.55464i	−0.218659	−	0.0750586i
$430$	−9.92562	+	1.48086i	−0.478656	+	0.0714135i
$431$	−29.6673	−	3.11816i	−1.42902	−	0.150196i	−0.641803	−	0.766869i	$-0.721813\pi$
$431$	−29.6673	−	3.11816i	−1.42902	−	0.150196i	−0.787219	+	0.616673i	$0.788480\pi$
$432$	−6.61956	+	24.9886i	−0.318484	+	1.20226i
$433$	−9.12646	+	12.5615i	−0.438590	+	0.603667i	−0.969898	−	0.243512i	$-0.921701\pi$
$433$	−9.12646	+	12.5615i	−0.438590	+	0.603667i	0.531308	+	0.847179i	$0.321701\pi$
$434$	−40.6539	+	11.3926i	−1.95145	+	0.546864i
$435$	−2.60564	−	19.6855i	−0.124931	−	0.943849i
$436$	−6.69483	−	1.42303i	−0.320624	−	0.0681508i
$437$	−5.24766	+	1.11543i	−0.251030	+	0.0533580i
$438$	−3.91226	+	17.0195i	−0.186935	+	0.813221i
$439$	0.0572350	−	0.269269i	0.00273168	−	0.0128515i	−0.976761	−	0.214333i	$-0.931242\pi$
$439$	0.0572350	−	0.269269i	0.00273168	−	0.0128515i	0.979492	+	0.201481i	$0.0645756\pi$
$440$	−5.14794	−	8.08510i	−0.245419	−	0.385442i
$441$	18.0790	+	10.6842i	0.860903	+	0.508769i
$442$	1.34364	+	0.976210i	0.0639104	+	0.0464336i
$443$	−32.6873	−	18.8720i	−1.55302	−	0.896636i	−0.997894	−	0.0648692i	$-0.979337\pi$
$443$	−32.6873	−	18.8720i	−1.55302	−	0.896636i	−0.555125	−	0.831767i	$-0.687330\pi$
$444$	−5.66258	−	3.39512i	−0.268734	−	0.161125i
$445$	1.36008	+	9.11604i	0.0644738	+	0.432142i
$446$	−3.32086	−	31.5959i	−0.157247	−	1.49611i
$447$	−17.4004	+	3.39941i	−0.823009	+	0.160787i
$448$	3.93274	−	4.97164i	0.185805	−	0.234888i
$449$			35.4616i			1.67354i	0.547558	+	0.836768i	$0.315558\pi$
$449$			35.4616i			1.67354i	−0.547558	+	0.836768i	$0.684442\pi$
$450$	−23.5937	+	9.09462i	−1.11222	+	0.428724i
$451$	−18.4895	+	10.6749i	−0.870636	+	0.502662i
$452$	−6.09725	−	5.48999i	−0.286791	−	0.258227i
$453$	−16.2683	−	5.58438i	−0.764352	−	0.262377i
$454$	−8.01096	−	11.0261i	−0.375973	−	0.517482i
$455$	6.01669	−	4.39395i	0.282067	−	0.205992i
$456$	12.9855	−	7.21406i	0.608100	−	0.337829i
$457$	−13.8000	+	23.9022i	−0.645535	+	1.11810i	0.338642	+	0.940915i	$0.390032\pi$
$457$	−13.8000	+	23.9022i	−0.645535	+	1.11810i	−0.984178	+	0.177185i	$0.943301\pi$
$458$	−4.81995	+	45.8588i	−0.225222	+	2.14284i
$459$	3.61683	−	1.85584i	0.168819	−	0.0866233i
$460$	−2.21504	−	0.614881i	−0.103277	−	0.0286690i
$461$	−0.479894	−	1.47696i	−0.0223509	−	0.0687889i	0.939259	−	0.343209i	$-0.111514\pi$
$461$	−0.479894	−	1.47696i	−0.0223509	−	0.0687889i	−0.961610	+	0.274420i	$0.911514\pi$
$462$	−15.8625	+	5.99680i	−0.737990	+	0.278996i
$463$	5.09990	−	15.6959i	0.237012	−	0.729449i	−0.759836	−	0.650115i	$-0.774721\pi$
$463$	5.09990	−	15.6959i	0.237012	−	0.729449i	0.996848	−	0.0793338i	$-0.0252793\pi$
$464$	−5.30321	+	24.9496i	−0.246195	+	1.15826i
$465$	30.2294	+	20.7450i	1.40186	+	0.962028i
$466$	32.3912	−	6.88496i	1.50049	−	0.318940i
$467$	−9.58403	+	4.26709i	−0.443496	+	0.197457i	−0.616320	−	0.787495i	$-0.711377\pi$
$467$	−9.58403	+	4.26709i	−0.443496	+	0.197457i	0.172824	+	0.984953i	$0.444711\pi$
$468$	2.43201	−	2.04857i	0.112420	−	0.0946952i
$469$	18.5371	−	9.71353i	0.855964	−	0.448529i
$470$	−4.73058	−	18.3106i	−0.218205	−	0.844607i
$471$	9.12463	−	26.5817i	0.420441	−	1.22482i
$472$	−2.67430	+	6.00657i	−0.123095	+	0.276475i
$473$	4.34333	+	3.91075i	0.199706	+	0.179817i
$474$	17.9548	−	12.5975i	0.824693	−	0.578622i
$475$	19.8990	+	9.29114i	0.913028	+	0.426307i
$476$	1.73861	−	0.111052i	0.0796892	−	0.00509007i
$477$	−12.5767	−	7.82570i	−0.575849	−	0.358314i
$478$	3.42325	+	32.5701i	0.156576	+	1.48972i
$479$	−9.84460	−	4.38310i	−0.449811	−	0.200269i	0.169312	−	0.985562i	$-0.445845\pi$
$479$	−9.84460	−	4.38310i	−0.449811	−	0.200269i	−0.619124	+	0.785294i	$0.712512\pi$
$480$	17.3490	−	0.466427i	0.791870	−	0.0212894i
$481$	−2.31982	−	5.21040i	−0.105775	−	0.237574i
$482$	−32.2275			−1.46792
$483$	2.56645	−	4.97434i	0.116777	−	0.226340i
$484$	−1.60759	+	4.94766i	−0.0730723	+	0.224893i
$485$	0.830630	−	1.25426i	0.0377170	−	0.0569532i
$486$	−6.03253	−	25.5760i	−0.273641	−	1.16015i
$487$	−20.9888	+	4.46130i	−0.951091	+	0.202161i	−0.657232	−	0.753688i	$-0.728273\pi$
$487$	−20.9888	+	4.46130i	−0.951091	+	0.202161i	−0.293859	+	0.955849i	$0.594940\pi$
$488$	16.9112	+	18.7818i	0.765534	+	0.850211i
$489$	33.5142	+	4.08278i	1.51557	+	0.184630i
$490$	6.47477	−	25.5790i	0.292500	−	1.15554i
$491$	34.4139	+	11.1818i	1.55308	+	0.504626i	0.954948	−	0.296774i	$-0.0959107\pi$
$491$	34.4139	+	11.1818i	1.55308	+	0.504626i	0.598130	+	0.801399i	$0.295911\pi$
$492$	0.234000	−	14.1760i	0.0105495	−	0.639104i
$493$	3.47376	−	2.00558i	0.156450	−	0.0903267i
$494$	−9.27318	−	0.974651i	−0.417220	−	0.0438516i
$495$	12.8289	+	7.23039i	0.576617	+	0.324982i
$496$	−27.6814	−	38.1002i	−1.24293	−	1.71075i
$497$	13.2889	−	35.8377i	0.596091	−	1.60754i
$498$	1.35678	−	11.1374i	0.0607990	−	0.499079i
$499$	10.3472	−	17.9219i	0.463204	−	0.802293i	−0.535914	−	0.844272i	$-0.680033\pi$
$499$	10.3472	−	17.9219i	0.463204	−	0.802293i	0.999118	+	0.0419792i	$0.0133663\pi$
$500$	5.72295	+	7.46986i	0.255938	+	0.334062i
$501$	14.4052	−	1.27405i	0.643576	−	0.0569205i
$502$	0.417184	−	1.96270i	0.0186198	−	0.0875994i
$503$	−15.2468	+	11.0774i	−0.679819	+	0.493918i	−0.873298	−	0.487187i	$-0.838023\pi$
$503$	−15.2468	+	11.0774i	−0.679819	+	0.493918i	0.193478	+	0.981105i	$0.438023\pi$
$504$	−2.75430	+	15.2518i	−0.122686	+	0.679369i
$505$	3.47145	−	4.20907i	0.154478	−	0.187301i
$506$	1.83848	+	4.12929i	0.0817303	+	0.183569i
$507$	−19.6929	+	1.74172i	−0.874592	+	0.0773524i
$508$	1.41997	−	13.5101i	0.0630010	−	0.599414i
$509$	29.4170	+	32.6709i	1.30389	+	1.44811i	0.819293	+	0.573376i	$0.194366\pi$
$509$	29.4170	+	32.6709i	1.30389	+	1.44811i	0.484595	+	0.874739i	$0.338967\pi$
$510$	−3.51853	−	3.70257i	−0.155803	−	0.163953i
$511$	−2.29672	+	15.6569i	−0.101601	+	0.692620i
$512$	−2.72464	−	0.885288i	−0.120413	−	0.0391246i
$513$	−12.3757	+	19.1761i	−0.546400	+	0.846644i
$514$	18.0407	+	16.2439i	0.795740	+	0.716488i
$515$	−7.36097	−	14.7731i	−0.324363	−	0.650979i
$516$	−3.71055	+	1.13828i	−0.163348	+	0.0501099i
$517$	−6.47387	+	8.91051i	−0.284720	+	0.391884i
$518$	−18.1013	−	8.96401i	−0.795324	−	0.393856i
$519$	−24.4548	+	13.5858i	−1.07345	+	0.596352i
$520$	4.58438	+	3.03598i	0.201038	+	0.133136i
$521$	−30.1681	−	13.4317i	−1.32169	−	0.588453i	−0.380014	−	0.924981i	$-0.624081\pi$
$521$	−30.1681	−	13.4317i	−1.32169	−	0.588453i	−0.941674	+	0.336528i	$0.890747\pi$
$522$	−7.19416	−	24.9107i	−0.314880	−	1.09031i
$523$	−2.23391	+	10.5097i	−0.0976821	+	0.459558i	0.901935	+	0.431873i	$0.142147\pi$
$523$	−2.23391	+	10.5097i	−0.0976821	+	0.459558i	−0.999617	+	0.0276854i	$0.991186\pi$
$524$	18.2698			0.798122
$525$	−20.6497	+	9.92934i	−0.901225	+	0.433352i
$526$	−11.1833			−0.487616
$527$	−1.53978	+	7.24408i	−0.0670738	+	0.315557i
$528$	−12.4236	−	14.2644i	−0.540667	−	0.620777i
$529$	19.6486	+	8.74812i	0.854287	+	0.380353i
$530$	−4.97822	+	17.9335i	−0.216240	+	0.778981i
$531$	−0.723771	−	10.0758i	−0.0314090	−	0.437254i
$532$	−8.14151	+	5.42042i	−0.352979	+	0.235005i
$533$	7.19898	−	9.90855i	0.311823	−	0.429187i
$534$	3.52963	+	11.5059i	0.152742	+	0.497908i
$535$	−6.13275	+	36.5918i	−0.265142	+	1.58200i
$536$	11.4781	+	10.3349i	0.495778	+	0.446400i
$537$	−3.03656	−	9.89856i	−0.131037	−	0.427154i
$538$	2.07335	+	0.673672i	0.0893884	+	0.0290440i
$539$	−13.8917	+	6.56939i	−0.598358	+	0.282964i
$540$	−8.49896	+	4.83763i	−0.365737	+	0.208179i
$541$	−3.59210	−	3.98943i	−0.154437	−	0.171519i	0.660962	−	0.750420i	$-0.270149\pi$
$541$	−3.59210	−	3.98943i	−0.154437	−	0.171519i	−0.815398	+	0.578901i	$0.803482\pi$
$542$	5.72118	−	54.4334i	0.245746	−	2.33811i
$543$	−0.816736	−	9.23450i	−0.0350495	−	0.396290i
$544$	1.42592	+	3.20267i	0.0611359	+	0.137313i
$545$	9.76619	+	15.3383i	0.418338	+	0.657020i
$546$	6.91380	−	6.84394i	0.295883	−	0.292894i
$547$	−22.3861	+	16.2645i	−0.957162	+	0.695419i	−0.952490	−	0.304570i	$-0.901487\pi$
$547$	−22.3861	+	16.2645i	−0.957162	+	0.695419i	−0.00467198	+	0.999989i	$0.501487\pi$
$548$	−3.23544	+	15.2215i	−0.138211	+	0.650232i
$549$	−36.5132	−	13.2114i	−1.55835	−	0.563847i
$550$	4.17124	−	18.0266i	0.177862	−	0.768656i
$551$	−11.2598	+	19.5025i	−0.479682	+	0.830834i
$552$	4.10068	+	0.499555i	0.174537	+	0.0212625i
$553$	15.3018	−	12.6834i	0.650700	−	0.539354i
$554$	−18.3071	−	25.1976i	−0.777795	−	1.07054i
$555$	4.10669	+	17.0531i	0.174319	+	0.723864i
$556$	1.78023	+	0.187109i	0.0754984	+	0.00793520i
$557$	−3.87528	+	2.23739i	−0.164201	+	0.0948013i	−0.579848	−	0.814724i	$-0.696888\pi$
$557$	−3.87528	+	2.23739i	−0.164201	+	0.0948013i	0.415648	+	0.909526i	$0.363555\pi$
$558$	43.0677	+	20.9045i	1.82320	+	0.884959i
$559$	−3.18870	−	1.03607i	−0.134868	−	0.0438212i
$560$	29.2632	−	3.14823i	1.23660	−	0.133037i
$561$	−0.359723	+	2.95285i	−0.0151875	+	0.124669i
$562$	−22.5536	−	25.0483i	−0.951367	−	1.05660i
$563$	−5.45699	+	1.15992i	−0.229985	+	0.0488848i	−0.321462	−	0.946922i	$-0.604174\pi$
$563$	−5.45699	+	1.15992i	−0.229985	+	0.0488848i	0.0914775	+	0.995807i	$0.470841\pi$
$564$	−2.86425	−	6.73000i	−0.120607	−	0.283384i
$565$	0.945355	+	21.7769i	0.0397714	+	0.916160i
$566$	11.4574	−	35.2621i	0.481589	−	1.48218i
$567$	−7.30763	−	22.6627i	−0.306892	−	0.951744i
$568$	28.2089			1.18362
$569$	−6.63023	−	14.8917i	−0.277954	−	0.624294i	0.719586	−	0.694404i	$-0.244332\pi$
$569$	−6.63023	−	14.8917i	−0.277954	−	0.624294i	−0.997539	+	0.0701095i	$0.977665\pi$
$570$	27.5008	+	8.12522i	1.15188	+	0.340328i
$571$	5.88785	+	2.62144i	0.246399	+	0.109704i	0.526220	−	0.850348i	$-0.323609\pi$
$571$	5.88785	+	2.62144i	0.246399	+	0.109704i	−0.279822	+	0.960052i	$0.590275\pi$
$572$	0.243221	+	2.31409i	0.0101696	+	0.0967569i
$573$	0.429700	−	3.52726i	0.0179510	−	0.147354i
$574$	−2.76495	−	43.2875i	−0.115407	−	1.80679i
$575$	2.95818	+	5.34299i	0.123365	+	0.222818i
$576$	−7.07624	+	1.26157i	−0.294843	+	0.0525654i
$577$	−21.1738	−	19.0650i	−0.881477	−	0.793685i	0.0980118	−	0.995185i	$-0.468752\pi$
$577$	−21.1738	−	19.0650i	−0.881477	−	0.793685i	−0.979488	+	0.201500i	$0.935418\pi$
$578$	−11.2363	+	25.2372i	−0.467370	+	1.04973i
$579$	11.6666	+	4.00475i	0.484846	+	0.166432i
$580$	−8.13950	+	5.18258i	−0.337974	+	0.215195i
$581$	0.416036	−	10.1583i	0.0172601	−	0.421437i
$582$	0.828478	−	1.78108i	0.0343415	−	0.0738283i
$583$	9.90207	−	4.40869i	0.410102	−	0.182589i
$584$	−11.4236	+	2.42816i	−0.472712	+	0.100478i
$585$	−8.41031	−	0.795846i	−0.347723	−	0.0329042i
$586$	0.309127	−	1.45433i	0.0127699	−	0.0600778i
$587$	−6.98360	+	21.4933i	−0.288244	+	0.887123i	0.697164	+	0.716912i	$0.254445\pi$
$587$	−6.98360	+	21.4933i	−0.288244	+	0.887123i	−0.985408	+	0.170211i	$0.945555\pi$
$588$	1.00222	−	10.1554i	0.0413308	−	0.418800i
$589$	−12.8485	−	39.5435i	−0.529412	−	1.62936i
$590$	−11.8899	+	4.44206i	−0.489498	+	0.182877i
$591$	−27.4255	−	6.30428i	−1.12813	−	0.259324i
$592$	2.35516	−	22.4079i	0.0967966	−	0.920958i
$593$	15.6224	−	27.0587i	0.641534	−	1.11117i	−0.343557	−	0.939132i	$-0.611632\pi$
$593$	15.6224	−	27.0587i	0.641534	−	1.11117i	0.985090	−	0.172037i	$-0.0550349\pi$
$594$	17.9711	+	6.83989i	0.737365	+	0.280644i
$595$	−3.44715	−	3.08856i	−0.141319	−	0.126619i
$596$	5.06397	+	6.96996i	0.207428	+	0.285501i
$597$	−13.4219	+	39.1006i	−0.549324	+	1.60028i
$598$	−1.92698	−	1.73506i	−0.0788000	−	0.0709518i
$599$	−9.71256	+	5.60755i	−0.396844	+	0.229118i	−0.685122	−	0.728429i	$-0.740251\pi$
$599$	−9.71256	+	5.60755i	−0.396844	+	0.229118i	0.288277	+	0.957547i	$0.406918\pi$
$600$	−12.1695	−	11.7414i	−0.496817	−	0.479340i
$601$			36.6924i			1.49671i	0.663297	+	0.748356i	$0.269157\pi$
$601$			36.6924i			1.49671i	−0.663297	+	0.748356i	$0.730843\pi$
$602$	−11.0361	+	4.38171i	−0.449798	+	0.178585i
$603$	−23.0360	−	5.69714i	−0.938098	−	0.232006i
$604$	0.873668	+	8.31239i	0.0355490	+	0.338226i
$605$	12.3703	−	6.16377i	0.502926	−	0.250593i
$606$	3.66340	−	6.11004i	0.148816	−	0.248204i
$607$	−18.9161	−	10.9212i	−0.767781	−	0.443278i	0.0643018	−	0.997931i	$-0.479518\pi$
$607$	−18.9161	−	10.9212i	−0.767781	−	0.443278i	−0.832082	+	0.554652i	$0.812851\pi$
$608$	−15.9232	−	11.5689i	−0.645770	−	0.469180i
$609$	−8.30850	−	21.9773i	−0.336677	−	0.890565i
$610$	−2.99060	+	48.6966i	−0.121086	+	1.97167i
$611$	1.31366	−	6.18027i	0.0531449	−	0.250027i
$612$	−1.55896	−	1.21324i	−0.0630170	−	0.0490422i
$613$	31.4489	−	6.68466i	1.27021	−	0.269991i	0.476979	−	0.878915i	$-0.341732\pi$
$613$	31.4489	−	6.68466i	1.27021	−	0.269991i	0.793229	+	0.608924i	$0.208399\pi$
$614$	−56.2236	−	11.9507i	−2.26900	−	0.482291i
$615$	−27.3043	+	25.9471i	−1.10102	+	1.04629i
$616$	−8.11041	−	7.92714i	−0.326778	−	0.319393i
$617$	1.44679	−	1.99133i	0.0582454	−	0.0801680i	−0.778901	−	0.627147i	$-0.784222\pi$
$617$	1.44679	−	1.99133i	0.0582454	−	0.0801680i	0.837146	+	0.546979i	$0.184222\pi$
$618$	−12.3785	−	17.6426i	−0.497934	−	0.709691i
$619$	−12.8673	−	1.35241i	−0.517181	−	0.0543579i	−0.157657	−	0.987494i	$-0.550394\pi$
$619$	−12.8673	−	1.35241i	−0.517181	−	0.0543579i	−0.359524	+	0.933136i	$0.617061\pi$
$620$	2.94486	−	17.5709i	0.118269	−	0.705663i
$621$	−5.91879	+	2.29134i	−0.237513	+	0.0919485i
$622$	13.4652	+	18.5332i	0.539904	+	0.743114i
$623$	4.02432	+	10.1360i	0.161231	+	0.406089i
$624$	9.83912	+	4.57671i	0.393880	+	0.183215i
$625$	3.50403	−	24.7532i	0.140161	−	0.990129i
$626$	−5.43471	−	9.41320i	−0.217215	−	0.376227i
$627$	−6.53998	−	15.3667i	−0.261182	−	0.613688i
$628$	−13.5821	+	1.42753i	−0.541984	+	0.0569648i
$629$	−2.86651	+	2.08264i	−0.114295	+	0.0830404i
$630$	−24.7307	+	16.8380i	−0.985296	+	0.670841i
$631$	7.56268	+	5.49461i	0.301066	+	0.218737i	0.728053	−	0.685520i	$-0.240425\pi$
$631$	7.56268	+	5.49461i	0.301066	+	0.218737i	−0.426988	+	0.904257i	$0.640425\pi$
$632$	12.7030	+	7.33411i	0.505300	+	0.291735i
$633$	−4.46274	−	2.67573i	−0.177378	−	0.106351i
$634$	2.35286	−	0.500116i	0.0934440	−	0.0198621i
$635$	−28.2500	+	22.4596i	−1.12107	+	0.891281i
$636$	−0.870448	+	7.14523i	−0.0345155	+	0.283327i
$637$	5.74737	−	6.68417i	0.227719	−	0.264836i
$638$	18.0447	+	5.86307i	0.714395	+	0.232121i
$639$	−38.2282	+	20.4194i	−1.51228	+	0.807777i
$640$	12.9651	+	26.0202i	0.512490	+	1.02854i
$641$	−6.03220	−	28.3793i	−0.238257	−	1.12091i	−0.920790	−	0.390058i	$-0.872455\pi$
$641$	−6.03220	−	28.3793i	−0.238257	−	1.12091i	0.682533	−	0.730855i	$-0.260878\pi$
$642$	−0.799585	+	48.4398i	−0.0315571	+	1.91177i
$643$			4.78124i			0.188554i	0.995546	+	0.0942769i	$0.0300539\pi$
$643$			4.78124i			0.188554i	−0.995546	+	0.0942769i	$0.969946\pi$
$644$	−2.71770	−	0.111304i	−0.107092	−	0.00438600i
$645$	9.06515	+	4.91378i	0.356940	+	0.193480i
$646$	0.605486	+	5.76082i	0.0238225	+	0.226656i
$647$	31.2850	+	13.9290i	1.22994	+	0.547604i	0.915747	−	0.401755i	$-0.131600\pi$
$647$	31.2850	+	13.9290i	1.22994	+	0.547604i	0.314192	+	0.949359i	$0.398266\pi$
$648$	13.8071	−	10.8719i	0.542394	−	0.427087i
$649$	6.40164	+	3.69599i	0.251286	+	0.145080i
$650$	2.02014	+	10.4205i	0.0792362	+	0.408724i
$651$	40.4195	+	15.7515i	1.58416	+	0.617351i
$652$	−5.06981	−	15.6033i	−0.198549	−	0.611071i
$653$	23.1999	−	2.43841i	0.907883	−	0.0954223i	0.360937	−	0.932590i	$-0.382457\pi$
$653$	23.1999	−	2.43841i	0.907883	−	0.0954223i	0.546946	+	0.837168i	$0.315790\pi$
$654$	15.5940	+	17.9045i	0.609773	+	0.700122i
$655$	−34.0118	−	34.6280i	−1.32895	−	1.35303i
$656$	44.2006	−	19.6794i	1.72574	−	0.768351i
$657$	13.7234	−	11.5597i	0.535402	−	0.450988i
$658$	−10.3860	−	19.8205i	−0.404889	−	0.772683i
$659$	4.69652	+	1.52599i	0.182951	+	0.0594443i	0.399060	−	0.916925i	$-0.369337\pi$
$659$	4.69652	+	1.52599i	0.182951	+	0.0594443i	−0.216109	+	0.976369i	$0.569337\pi$
$660$	0.556470	−	7.13433i	0.0216606	−	0.277703i
$661$	4.33544	+	3.90365i	0.168629	+	0.151834i	0.749125	−	0.662429i	$-0.230474\pi$
$661$	4.33544	+	3.90365i	0.168629	+	0.151834i	−0.580495	+	0.814264i	$0.697141\pi$
$662$	−3.77369	−	17.7538i	−0.146669	−	0.690021i
$663$	−0.500470	−	1.63143i	−0.0194367	−	0.0633595i
$664$	7.13610	−	2.31866i	0.276934	−	0.0899815i
$665$	25.4302	+	5.34024i	0.986141	+	0.207085i
$666$	8.62016	+	21.2197i	0.334024	+	0.822248i
$667$	−5.72108	+	2.54719i	−0.221521	+	0.0986276i
$668$	−3.51368	−	6.08587i	−0.135948	−	0.235469i
$669$	−16.7858	+	27.9964i	−0.648978	+	1.08240i
$670$	1.29312	+	29.7879i	0.0499576	+	1.15081i
$671$	22.9871	−	16.7011i	0.887408	−	0.644740i
$672$	19.8621	−	5.21407i	0.766195	−	0.201137i
$673$	4.58162	+	14.1008i	0.176608	+	0.543545i	0.999703	−	0.0243593i	$-0.00775456\pi$
$673$	4.58162	+	14.1008i	0.176608	+	0.543545i	−0.823095	+	0.567904i	$0.807755\pi$
$674$	13.1622	+	7.59918i	0.506988	+	0.292710i
$675$	24.9910	+	7.10268i	0.961905	+	0.273382i
$676$	4.80344	+	8.31980i	0.184748	+	0.319992i
$677$	32.7717	+	6.96585i	1.25952	+	0.267719i	0.788848	−	0.614589i	$-0.210678\pi$
$677$	32.7717	+	6.96585i	1.25952	+	0.267719i	0.470673	+	0.882308i	$0.344011\pi$
$678$	5.45731	+	27.9340i	0.209587	+	1.07280i
$679$	0.618862	−	1.66895i	0.0237497	−	0.0640483i
$680$	1.25271	−	3.17787i	0.0480393	−	0.121866i
$681$	−0.231123	+	14.0017i	−0.00885664	+	0.536546i
$682$	−30.3377	+	17.5155i	−1.16169	+	0.670703i
$683$	−15.9794	−	1.67950i	−0.611433	−	0.0642642i	−0.206249	−	0.978499i	$-0.566126\pi$
$683$	−15.9794	−	1.67950i	−0.611433	−	0.0642642i	−0.405184	+	0.914235i	$0.632792\pi$
$684$	10.9854	+	1.52267i	0.420038	+	0.0582206i
$685$	34.8735	−	22.2046i	1.33245	−	0.848396i
$686$	0.564351	−	31.2150i	0.0215470	−	1.19179i
$687$	32.2793	−	34.6811i	1.23153	−	1.32317i
$688$	−8.86266	−	9.84299i	−0.337886	−	0.375260i
$689$	−4.16069	+	4.62091i	−0.158510	+	0.176043i
$690$	4.85903	+	6.32326i	0.184980	+	0.240723i
$691$	−6.81611	+	6.13726i	−0.259297	+	0.233472i	−0.788518	−	0.615012i	$-0.789151\pi$
$691$	−6.81611	+	6.13726i	−0.259297	+	0.233472i	0.529220	+	0.848484i	$0.322484\pi$
$692$	10.9980	+	7.99048i	0.418079	+	0.303752i
$693$	16.7293	+	4.87190i	0.635492	+	0.185068i
$694$	−17.4521	−	12.6797i	−0.662472	−	0.481314i
$695$	−2.95949	−	3.72250i	−0.112260	−	0.141202i
$696$	13.0760	−	11.3886i	0.495644	−	0.431682i
$697$	−6.95085	−	3.09472i	−0.263282	−	0.117221i
$698$	−40.7925	−	8.67072i	−1.54402	−	0.328192i
$699$	−30.8506	−	14.3503i	−1.16688	−	0.542778i
$700$	8.60702	+	7.06331i	0.325315	+	0.266968i
$701$		−	6.35732i		−	0.240113i	−0.992767	−	0.120056i	$-0.961692\pi$
$701$		−	6.35732i		−	0.240113i	0.992767	−	0.120056i	$-0.0383075\pi$
$702$	−11.0141	+	0.608638i	−0.415699	+	0.0229716i
$703$	8.09094	−	18.1726i	0.305156	−	0.685391i
$704$	2.13930	−	4.80495i	0.0806280	−	0.181093i
$705$	−7.42359	+	17.9576i	−0.279589	+	0.676323i
$706$	12.3021	−	16.9324i	0.462995	−	0.637259i
$707$	2.86484	−	5.78505i	0.107743	−	0.217569i
$708$	−4.29112	+	2.38392i	−0.161270	+	0.0895934i
$709$	−22.1434	−	24.5927i	−0.831612	−	0.923599i	0.166435	−	0.986052i	$-0.446774\pi$
$709$	−22.1434	−	24.5927i	−0.831612	−	0.923599i	−0.998048	+	0.0624531i	$0.980108\pi$
$710$	38.1583	+	38.8496i	1.43206	+	1.45800i
$711$	−22.5238	−	0.743795i	−0.844710	−	0.0278945i
$712$	−5.98129	+	5.38557i	−0.224158	+	0.201833i
$713$	3.57306	−	10.9967i	0.133812	−	0.411831i
$714$	−5.05178	−	3.31726i	−0.189058	−	0.124145i
$715$	3.93325	−	4.76899i	0.147095	−	0.178350i
$716$	−3.73901	+	3.36662i	−0.139733	+	0.125816i
$717$	17.3034	−	28.8596i	0.646207	−	1.07778i
$718$	0.835349	+	1.44687i	0.0311749	+	0.0539966i
$719$	42.2827	−	18.8255i	1.57688	−	0.702072i	0.582993	−	0.812477i	$-0.301881\pi$
$719$	42.2827	−	18.8255i	1.57688	−	0.702072i	0.993887	+	0.110405i	$0.0352147\pi$
$720$	−27.2012	−	19.3350i	−1.01373	−	0.720571i
$721$	−12.4629	−	15.0358i	−0.464142	−	0.559961i
$722$	−0.289126	−	0.397948i	−0.0107602	−	0.0148101i
$723$	26.4642	+	19.9029i	0.984214	+	0.740197i
$724$	−3.90137	+	2.25245i	−0.144993	+	0.0837118i
$725$	24.9756	+	5.77921i	0.927572	+	0.214634i
$726$	14.7732	−	10.3652i	0.548285	−	0.384689i
$727$	−1.95935	+	0.636631i	−0.0726682	+	0.0236113i	−0.345126	−	0.938557i	$-0.612164\pi$
$727$	−1.95935	+	0.636631i	−0.0726682	+	0.0236113i	0.272457	+	0.962168i	$0.412164\pi$
$728$	6.10006	+	2.26196i	0.226083	+	0.0838338i
$729$	−10.8414	+	24.7278i	−0.401534	+	0.915844i
$730$	−18.7969	−	12.4481i	−0.695704	−	0.460726i
$731$	−0.217720	+	2.07146i	−0.00805265	+	0.0766159i
$732$	1.66235	+	18.7955i	0.0614422	+	0.694702i
$733$	6.71766	+	15.0881i	0.248122	+	0.557292i	0.994074	−	0.108709i	$-0.0346715\pi$
$733$	6.71766	+	15.0881i	0.248122	+	0.557292i	−0.745951	+	0.666000i	$0.768005\pi$
$734$	−9.85328	+	30.3253i	−0.363691	+	1.11933i
$735$	−21.1139	+	17.0060i	−0.778796	+	0.627277i
$736$	−1.69139	−	5.20556i	−0.0623454	−	0.191879i
$737$	12.9043	−	11.6191i	0.475335	−	0.427993i
$738$	−30.2068	+	38.8145i	−1.11193	+	1.42878i
$739$	33.6355	−	37.3560i	1.23730	−	1.37416i	0.335486	−	0.942045i	$-0.391100\pi$
$739$	33.6355	−	37.3560i	1.23730	−	1.37416i	0.901817	−	0.432118i	$-0.142234\pi$
$740$	6.67201	−	5.30444i	0.245268	−	0.194995i
$741$	7.01293	+	6.52724i	0.257626	+	0.239784i
$742$	−0.901145	+	22.0031i	−0.0330821	+	0.807761i
$743$		−	40.9099i		−	1.50084i	−0.660962	−	0.750419i	$-0.729852\pi$
$743$		−	40.9099i		−	1.50084i	0.660962	−	0.750419i	$-0.270148\pi$
$744$	−0.528403	+	32.0113i	−0.0193722	+	1.17359i
$745$	3.78331	−	22.5736i	0.138610	−	0.827032i
$746$	−6.08253	+	13.6616i	−0.222697	+	0.500186i
$747$	−7.99233	+	8.30777i	−0.292424	+	0.303965i
$748$	1.37476	−	0.446687i	0.0502663	−	0.0163325i
$749$	2.79836	+	43.8106i	0.102250	+	1.60080i
$750$	−0.291382	−	32.6426i	−0.0106397	−	1.19194i
$751$	−9.65608	+	16.7248i	−0.352356	+	0.610298i	−0.986662	−	0.162784i	$-0.947953\pi$
$751$	−9.65608	+	16.7248i	−0.352356	+	0.610298i	0.634306	+	0.773082i	$0.281286\pi$
$752$	16.7017	−	18.5491i	0.609047	−	0.676416i
$753$	−1.55469	+	1.35406i	−0.0566561	+	0.0493448i
$754$	−10.8247	+	1.13772i	−0.394212	+	0.0414333i
$755$	14.1285	−	17.1306i	0.514190	−	0.623445i
$756$	−8.48759	+	7.86446i	−0.308691	+	0.286028i
$757$	−35.5479			−1.29201			−0.646005	−	0.763333i	$-0.723562\pi$
$757$	−35.5479			−1.29201			−0.646005	+	0.763333i	$0.723562\pi$
$758$	−6.59123	−	14.8041i	−0.239404	−	0.537711i
$759$	1.04045	−	4.52624i	0.0377658	−	0.164292i
$760$	2.82987	+	18.9675i	0.102650	+	0.688024i
$761$	9.80894	+	2.08495i	0.355574	+	0.0755795i	0.382235	−	0.924065i	$-0.375154\pi$
$761$	9.80894	+	2.08495i	0.355574	+	0.0755795i	−0.0266616	+	0.999645i	$0.508488\pi$
$762$	−32.1064	+	34.4954i	−1.16309	+	1.24964i
$763$	15.3863	+	15.0386i	0.557022	+	0.544434i
$764$	−1.64219	+	0.533581i	−0.0594124	+	0.0193043i
$765$	0.602688	+	5.21339i	0.0217902	+	0.188490i
$766$	0.766942	+	3.60818i	0.0277107	+	0.130369i
$767$	−4.21728	−	0.443254i	−0.152277	−	0.0160050i
$768$	17.0355	+	24.2802i	0.614717	+	0.876137i
$769$	−24.2278	+	33.3467i	−0.873677	+	1.20251i	0.104455	+	0.994530i	$0.466690\pi$
$769$	−24.2278	+	33.3467i	−0.873677	+	1.20251i	−0.978132	+	0.207984i	$0.933310\pi$
$770$	−0.0536661	−	21.8929i	−0.00193399	−	0.788964i
$771$	−4.78261	−	24.4805i	−0.172241	−	0.881642i
$772$	−0.626537	−	5.96110i	−0.0225496	−	0.214545i
$773$	−6.15696	+	6.83800i	−0.221451	+	0.245946i	−0.843625	−	0.536933i	$-0.819583\pi$
$773$	−6.15696	+	6.83800i	−0.221451	+	0.245946i	0.622174	+	0.782879i	$0.286249\pi$
$774$	12.6607	+	4.58096i	0.455081	+	0.164659i
$775$	−38.7854	+	27.1290i	−1.39321	+	0.974503i
$776$	1.31368			0.0471583
$777$	9.32825	+	18.5399i	0.334649	+	0.665114i
$778$	14.2562	−	10.3578i	0.511111	−	0.371344i
$779$	42.4827	−	4.46511i	1.52210	−	0.159979i
$780$	1.37303	+	3.86872i	0.0491623	+	0.138522i
$781$	3.31500	−	31.5401i	0.118620	−	1.12859i
$782$	−0.805432	+	1.39505i	−0.0288022	+	0.0498868i
$783$	−9.47660	+	24.8988i	−0.338666	+	0.889811i
$784$	32.8655	−	11.5154i	1.17377	−	0.411266i
$785$	27.9906	+	23.0854i	0.999027	+	0.823953i
$786$	−50.6523	−	38.0940i	−1.80671	−	1.35877i
$787$	1.18714	+	5.58504i	0.0423169	+	0.199085i	0.994228	−	0.107290i	$-0.0342172\pi$
$787$	1.18714	+	5.58504i	0.0423169	+	0.199085i	−0.951911	+	0.306375i	$0.900884\pi$
$788$	2.84312	+	13.3758i	0.101282	+	0.476494i
$789$	9.18339	+	6.90654i	0.326937	+	0.245879i
$790$	7.08289	+	27.4157i	0.251998	+	0.975407i
$791$	6.95944	+	24.8343i	0.247449	+	0.883006i
$792$	0.921354	+	12.8264i	0.0327389	+	0.455768i
$793$	−8.14995	+	14.1161i	−0.289413	+	0.501279i
$794$	1.89549	−	18.0344i	0.0672684	−	0.640016i
$795$	15.1632	−	11.6520i	0.537785	−	0.413254i
$796$	19.9787	−	2.09984i	0.708125	−	0.0744269i
$797$	−12.5898	+	9.14705i	−0.445955	+	0.324005i	−0.787997	−	0.615680i	$-0.788882\pi$
$797$	−12.5898	+	9.14705i	−0.445955	+	0.324005i	0.342042	+	0.939685i	$0.388882\pi$
$798$	33.8740	+	1.94778i	1.19913	+	0.0689508i
$799$	−3.92517			−0.138863
$800$	−7.30511	+	21.1812i	−0.258275	+	0.748870i
$801$	4.20732	−	11.6281i	0.148658	−	0.410858i
$802$	−21.6331	+	24.0260i	−0.763891	+	0.848387i
$803$	1.37245	+	13.0580i	0.0484328	+	0.460807i
$804$	2.21101	+	11.3174i	0.0779763	+	0.399133i
$805$	4.84841	+	5.35824i	0.170884	+	0.188853i
$806$	11.8122	−	16.2580i	0.416065	−	0.572665i
$807$	−1.28653	−	1.83365i	−0.0452879	−	0.0645474i
$808$	4.73825	+	0.498010i	0.166691	+	0.0175199i
$809$	−0.280491	−	1.31960i	−0.00986152	−	0.0463948i	0.972942	−	0.231051i	$-0.0742163\pi$
$809$	−0.280491	−	1.31960i	−0.00986152	−	0.0463948i	−0.982803	+	0.184656i	$0.940883\pi$
$810$	33.6498	+	4.30886i	1.18233	+	0.151398i
$811$	−27.7569	+	9.01877i	−0.974677	+	0.316692i	−0.752703	−	0.658361i	$-0.771250\pi$
$811$	−27.7569	+	9.01877i	−0.974677	+	0.316692i	−0.221975	+	0.975052i	$0.571250\pi$
$812$	−7.98047	+	8.16498i	−0.280059	+	0.286534i
$813$	−38.3148	+	41.1657i	−1.34376	+	1.44375i
$814$	−16.3936	−	3.48456i	−0.574594	−	0.122134i
$815$	−20.1357	+	38.6567i	−0.705322	+	1.35409i
$816$	1.51024	−	6.56997i	0.0528689	−	0.229995i
$817$	−4.75626	−	10.6827i	−0.166401	−	0.373742i
$818$	22.2489			0.777913
$819$	−9.90405	+	1.35024i	−0.346075	+	0.0471811i
$820$	17.0284	+	6.71256i	0.594656	+	0.234413i
$821$	−6.43303	+	0.676139i	−0.224514	+	0.0235974i	−0.216118	−	0.976367i	$-0.569339\pi$
$821$	−6.43303	+	0.676139i	−0.224514	+	0.0235974i	−0.00839668	+	0.999965i	$0.502673\pi$
$822$	40.7082	−	35.4549i	1.41986	−	1.23663i
$823$	−11.6842	+	12.9766i	−0.407285	+	0.452336i	−0.911535	−	0.411222i	$-0.865102\pi$
$823$	−11.6842	+	12.9766i	−0.407285	+	0.452336i	0.504251	+	0.863557i	$0.331769\pi$
$824$	7.20659	−	12.4822i	0.251053	−	0.434837i
$825$	−14.5581	+	12.2268i	−0.506847	+	0.425683i
$826$	−12.5009	+	8.32280i	−0.434962	+	0.289587i
$827$	−11.2000	+	3.63912i	−0.389464	+	0.126544i	−0.497202	−	0.867635i	$-0.665639\pi$
$827$	−11.2000	+	3.63912i	−0.389464	+	0.126544i	0.107738	+	0.994179i	$0.465639\pi$
$828$	2.22262	+	2.13823i	0.0772415	+	0.0743087i
$829$	17.8351	−	40.0583i	0.619439	−	1.39128i	−0.282435	−	0.959286i	$-0.591142\pi$
$829$	17.8351	−	40.0583i	0.619439	−	1.39128i	0.901875	−	0.431997i	$-0.142191\pi$
$830$	12.8463	+	6.69146i	0.445903	+	0.232264i
$831$	−0.528175	+	31.9975i	−0.0183222	+	1.10998i
$832$			3.01729i			0.104606i
$833$	−4.80403	−	2.62910i	−0.166450	−	0.0910928i
$834$	−4.54546	−	4.23066i	−0.157396	−	0.146496i
$835$	−4.99373	+	17.9894i	−0.172815	+	0.622548i
$836$	−5.43027	+	6.03093i	−0.187810	+	0.208584i
$837$	−22.4557	−	43.7637i	−0.776183	−	1.51269i
$838$	−36.0062	+	32.4201i	−1.24381	+	1.11994i
$839$	11.9819	+	36.8765i	0.413662	+	1.27312i	0.913443	+	0.406968i	$0.133414\pi$
$839$	11.9819	+	36.8765i	0.413662	+	1.27312i	−0.499781	+	0.866152i	$0.666586\pi$
$840$	−17.1855	−	10.2468i	−0.592958	−	0.353547i
$841$	0.838277	−	2.57995i	0.0289061	−	0.0889638i
$842$	24.0294	+	53.9708i	0.828106	+	1.85996i
$843$	3.05110	+	34.4975i	0.105085	+	1.18816i
$844$	−0.264304	+	2.51469i	−0.00909773	+	0.0865591i
$845$	6.82677	−	24.5927i	0.234848	−	0.846015i
$846$	−6.09157	+	24.6308i	−0.209432	+	0.846825i
$847$	12.5903	−	10.4359i	0.432609	−	0.358582i
$848$	−23.3618	+	7.59071i	−0.802247	+	0.260666i
$849$	−31.1854	+	21.8804i	−1.07028	+	0.750932i
$850$	6.07116	−	2.57348i	0.208239	−	0.0882696i
$851$	4.79077	−	2.76595i	0.164225	−	0.0948156i
$852$	16.8317	+	12.6586i	0.576643	+	0.433675i
$853$	−21.5410	−	29.6486i	−0.737548	−	1.01515i	−0.998756	−	0.0498655i	$-0.984121\pi$
$853$	−21.5410	−	29.6486i	−0.737548	−	1.01515i	0.261208	−	0.965283i	$-0.415879\pi$
$854$	9.68145	+	56.9095i	0.331293	+	1.94740i
$855$	−17.5649	−	23.6560i	−0.600706	−	0.809018i
$856$	−29.5981	+	13.1779i	−1.01164	+	0.450412i
$857$	22.2460	+	38.5312i	0.759909	+	1.31620i	0.942896	+	0.333086i	$0.108090\pi$
$857$	22.2460	+	38.5312i	0.759909	+	1.31620i	−0.182987	+	0.983115i	$0.558577\pi$
$858$	4.15074	−	6.92284i	0.141704	−	0.236342i
$859$	−1.03607	+	0.932879i	−0.0353502	+	0.0318294i	−0.686616	−	0.727020i	$-0.740905\pi$
$859$	−1.03607	+	0.932879i	−0.0353502	+	0.0318294i	0.651266	+	0.758849i	$0.274238\pi$
$860$	0.307140	−	5.00121i	0.0104734	−	0.170540i
$861$	−24.4628	+	37.2539i	−0.833691	+	1.26961i
$862$	15.5393	−	47.8252i	0.529272	−	1.62893i
$863$	14.2175	−	12.8015i	0.483969	−	0.435768i	−0.390679	−	0.920527i	$-0.627760\pi$
$863$	14.2175	−	12.8015i	0.483969	−	0.435768i	0.874647	+	0.484760i	$0.161093\pi$
$864$	−20.7767	−	10.5119i	−0.706836	−	0.357623i
$865$	−5.32935	−	35.7205i	−0.181203	−	1.21453i
$866$	−17.5138	−	19.4511i	−0.595145	−	0.660975i
$867$	24.8128	−	13.7847i	0.842687	−	0.468154i
$868$	−1.34373	−	21.0372i	−0.0456092	−	0.714050i
$869$	9.69303	−	13.3413i	0.328814	−	0.452573i
$870$	33.3725	+	2.60301i	1.13143	+	0.0882505i
$871$	−4.05165	+	9.10014i	−0.137285	+	0.308347i
$872$	−6.45842	+	14.5059i	−0.218710	+	0.491230i
$873$	−1.78027	+	0.950922i	−0.0602531	+	0.0321838i
$874$		−	9.04375i		−	0.305909i
$875$	−2.63563	−	29.4627i	−0.0891005	−	0.996023i
$876$	−7.90586	−	3.67744i	−0.267114	−	0.124249i
$877$	−10.4643	−	2.22425i	−0.353353	−	0.0751075i	0.0278156	−	0.999613i	$-0.491145\pi$
$877$	−10.4643	−	2.22425i	−0.353353	−	0.0751075i	−0.381168	+	0.924506i	$0.624478\pi$
$878$	0.423935	+	0.188748i	0.0143071	+	0.00636994i
$879$	−1.15200	+	1.00334i	−0.0388561	+	0.0338418i
$880$	22.8762	−	8.54654i	0.771155	−	0.288104i
$881$	−25.9380	−	18.8450i	−0.873872	−	0.634905i	0.0577513	−	0.998331i	$-0.481607\pi$
$881$	−25.9380	−	18.8450i	−0.873872	−	0.634905i	−0.931623	+	0.363426i	$0.881607\pi$
$882$	−23.9533	+	26.0656i	−0.806550	+	0.877674i
$883$	17.1037	+	12.4266i	0.575587	+	0.418188i	0.837130	−	0.547004i	$-0.184232\pi$
$883$	17.1037	+	12.4266i	0.575587	+	0.418188i	−0.261544	+	0.965192i	$0.584232\pi$
$884$	−0.616244	+	0.554869i	−0.0207265	+	0.0186623i
$885$	12.5069	+	3.69521i	0.420415	+	0.124213i
$886$	42.5741	−	47.2833i	1.43031	−	1.58852i
$887$	3.02457	+	3.35913i	0.101555	+	0.112788i	0.791780	−	0.610807i	$-0.209155\pi$
$887$	3.02457	+	3.35913i	0.101555	+	0.112788i	−0.690224	+	0.723595i	$0.742488\pi$
$888$	−10.4357	+	11.2122i	−0.350199	+	0.376256i
$889$	−26.4925	+	33.4909i	−0.888530	+	1.12325i
$890$	−15.5080	−	0.952394i	−0.519830	−	0.0319243i
$891$	−10.5332	−	16.7152i	−0.352875	−	0.559982i
$892$	15.7756	+	1.65808i	0.528205	+	0.0555166i
$893$	19.0844	−	11.0184i	0.638636	−	0.368717i
$894$	0.493266	−	29.8827i	0.0164973	−	0.999426i
$895$	13.3416	+	0.819350i	0.445961	+	0.0273878i
$896$	21.9513	+	26.4829i	0.733340	+	0.884733i
$897$	0.510845	+	2.61483i	0.0170566	+	0.0873066i
$898$	−58.4722	−	12.4286i	−1.95124	−	0.414749i
$899$	−24.2675	−	42.0326i	−0.809367	−	1.40186i
$900$	−1.99241	−	12.4668i	−0.0664137	−	0.415561i
$901$	3.34534	+	1.93143i	0.111449	+	0.0643453i
$902$	−11.1215	−	34.2285i	−0.370305	−	1.13968i
$903$	11.7685	+	3.21751i	0.391633	+	0.107072i
$904$	−15.3991	+	11.1881i	−0.512167	+	0.372111i
$905$	11.5321	+	3.20125i	0.383341	+	0.106413i
$906$	14.9098	−	24.8674i	0.495344	−	0.826164i
$907$	−21.7981	−	37.7554i	−0.723793	−	1.25365i	−0.959469	−	0.281815i	$-0.909064\pi$
$907$	−21.7981	−	37.7554i	−0.723793	−	1.25365i	0.235676	−	0.971832i	$-0.424270\pi$
$908$	6.21657	−	2.76779i	0.206304	−	0.0918525i
$909$	−6.78169	+	2.75495i	−0.224934	+	0.0913758i
$910$	5.13640	+	11.4608i	0.170270	+	0.379923i
$911$	−46.6002	+	15.1413i	−1.54393	+	0.501654i	−0.952458	−	0.304669i	$-0.901454\pi$
$911$	−46.6002	+	15.1413i	−1.54393	+	0.501654i	−0.591475	+	0.806323i	$0.701454\pi$
$912$	11.0998	+	36.1830i	0.367550	+	1.19814i
$913$	−1.75387	−	8.25131i	−0.0580446	−	0.273078i
$914$	−34.5755	−	31.1319i	−1.14366	−	1.02975i
$915$	32.5296	−	38.1412i	1.07539	−	1.26091i
$916$	−21.8962	−	7.11452i	−0.723472	−	0.235070i
$917$	−48.5195	−	30.7264i	−1.60226	−	1.01468i
$918$	1.79244	+	6.61418i	0.0591594	+	0.218301i
$919$	51.1018	−	22.7520i	1.68569	−	0.750519i	0.685956	−	0.727643i	$-0.259384\pi$
$919$	51.1018	−	22.7520i	1.68569	−	0.750519i	0.999738	−	0.0228764i	$-0.00728243\pi$
$920$	−2.46373	+	4.72990i	−0.0812268	+	0.155940i
$921$	38.7886	+	44.5358i	1.27813	+	1.46751i
$922$	2.60354	−	0.273643i	0.0857430	−	0.00901195i
$923$	5.62199	+	17.3027i	0.185050	+	0.569525i
$924$	−1.28206	−	8.36946i	−0.0421768	−	0.275335i
$925$	−22.4747	−	2.77093i	−0.738963	−	0.0911075i
$926$	24.0933	+	13.9103i	0.791755	+	0.457120i
$927$	−0.730862	+	22.1322i	−0.0240046	+	0.726917i
$928$	−20.9889	−	9.34484i	−0.688993	−	0.306759i
$929$	−2.60321	−	24.7679i	−0.0854084	−	0.812607i	−0.950444	−	0.310896i	$-0.899371\pi$
$929$	−2.60321	−	24.7679i	−0.0854084	−	0.812607i	0.865035	−	0.501711i	$-0.167296\pi$
$930$	−44.8011	+	42.5742i	−1.46909	+	1.39606i
$931$	30.7377	−	0.702628i	1.00739	−	0.0230277i
$932$			16.5340i			0.541588i
$933$	0.388481	−	23.5347i	0.0127183	−	0.770490i
$934$	−3.67692	−	17.2985i	−0.120312	−	0.566025i
$935$	−3.40594	−	1.77410i	−0.111386	−	0.0580193i
$936$	−3.47565	−	6.50696i	−0.113605	−	0.212687i
$937$	−0.328491	−	0.106733i	−0.0107313	−	0.00348683i	0.303646	−	0.952785i	$-0.401796\pi$
$937$	−0.328491	−	0.106733i	−0.0107313	−	0.00348683i	−0.314378	+	0.949298i	$0.601796\pi$
$938$	9.51960	+	33.9700i	0.310826	+	1.10916i
$939$	−1.35054	+	11.0862i	−0.0440733	+	0.361783i
$940$	9.43365	−	0.409524i	0.307692	−	0.0133572i
$941$	−30.1994	+	6.41908i	−0.984472	+	0.209256i	−0.671903	−	0.740639i	$-0.734523\pi$
$941$	−30.1994	+	6.41908i	−0.984472	+	0.209256i	−0.312569	+	0.949895i	$0.601190\pi$
$942$	40.6322	+	24.3619i	1.32387	+	0.793753i
$943$	10.2877	+	5.93959i	0.335013	+	0.193420i
$944$	−13.5526	−	9.84653i	−0.441099	−	0.320477i
$945$	30.7068	+	1.44627i	0.998893	+	0.0470471i
$946$	−7.97065	+	5.79102i	−0.259148	+	0.188282i
$947$	−28.6273	+	3.00885i	−0.930263	+	0.0977746i	−0.557523	−	0.830161i	$-0.688248\pi$
$947$	−28.6273	+	3.00885i	−0.930263	+	0.0977746i	−0.372740	+	0.927936i	$0.621582\pi$
$948$	4.28851	+	10.0765i	0.139284	+	0.327271i
$949$	−3.76609	−	6.52306i	−0.122253	−	0.211748i
$950$	−22.2943	+	29.5548i	−0.723322	+	0.958885i
$951$	−2.24095	−	1.04239i	−0.0726679	−	0.0338018i
$952$	0.586605	−	3.99891i	0.0190120	−	0.129606i
$953$	−21.7748	−	29.9705i	−0.705357	−	0.970840i	−0.999885	−	0.0151971i	$-0.995162\pi$
$953$	−21.7748	−	29.9705i	−0.705357	−	0.970840i	0.294528	−	0.955643i	$-0.404838\pi$
$954$	17.3116	−	17.9949i	0.560484	−	0.582605i
$955$	4.06849	+	2.11921i	0.131653	+	0.0685762i
$956$	−16.2620	−	1.70920i	−0.525950	−	0.0552795i
$957$	−11.1968	−	15.9585i	−0.361942	−	0.515865i
$958$	10.6776	−	14.6964i	0.344977	−	0.474821i
$959$	34.1922	−	34.9827i	1.10412	−	1.12965i
$960$	1.68467	−	9.12523i	0.0543724	−	0.294515i
$961$	57.3309	+	12.1861i	1.84938	+	0.393099i
$962$	9.40442	−	1.99897i	0.303211	−	0.0644494i
$963$	30.5718	−	39.2835i	0.985163	−	1.26589i
$964$	3.34549	−	15.7393i	0.107751	−	0.506929i
$965$	−10.1321	+	12.2849i	−0.326163	+	0.395466i
$966$	7.30263	+	5.97520i	0.234958	+	0.192249i
$967$	10.4288	+	7.57700i	0.335369	+	0.243660i	0.742705	−	0.669618i	$-0.233542\pi$
$967$	10.4288	+	7.57700i	0.335369	+	0.243660i	−0.407336	+	0.913278i	$0.633542\pi$
$968$	10.4521	+	6.03450i	0.335942	+	0.193956i
$969$	3.06053	−	5.10454i	0.0983185	−	0.163981i
$970$	1.77702	+	1.80921i	0.0570567	+	0.0580903i
$971$	3.62711	+	34.5097i	0.116400	+	1.10747i	0.884306	+	0.466907i	$0.154632\pi$
$971$	3.62711	+	34.5097i	0.116400	+	1.10747i	−0.767907	+	0.640562i	$0.778702\pi$
$972$	13.1171	−	0.291161i	0.420731	−	0.00933899i
$973$	−4.41309	−	3.49091i	−0.141477	−	0.111914i
$974$		−	36.1717i		−	1.15902i
$975$	4.77654	−	9.80454i	0.152972	−	0.313997i
$976$	−55.7650	+	32.1959i	−1.78499	+	1.03057i
$977$	−21.9753	−	19.7866i	−0.703051	−	0.633030i	0.238012	−	0.971262i	$-0.423504\pi$
$977$	−21.9753	−	19.7866i	−0.703051	−	0.633030i	−0.941063	+	0.338232i	$0.890171\pi$
$978$	−18.4782	+	53.8303i	−0.590867	+	1.72130i
$979$	5.31868	+	7.32053i	0.169986	+	0.233965i
$980$	11.8202	+	5.81748i	0.377582	+	0.185833i
$981$	−1.74790	−	24.3331i	−0.0558063	−	0.776896i
$982$	−30.4989	+	52.8257i	−0.973259	+	1.68573i
$983$	−3.02527	+	28.7835i	−0.0964910	+	0.918051i	0.834007	+	0.551754i	$0.186041\pi$
$983$	−3.02527	+	28.7835i	−0.0964910	+	0.918051i	−0.930498	+	0.366297i	$0.880626\pi$
$984$	−32.0560	−	7.36872i	−1.02191	−	0.234906i
$985$	20.0592	−	30.2896i	0.639138	−	0.965108i
$986$	2.08948	+	6.43076i	0.0665427	+	0.204797i
$987$	−3.71196	+	22.6901i	−0.118153	+	0.722234i
$988$	1.43864	−	4.42767i	0.0457692	−	0.140863i
$989$	0.676115	−	3.18087i	0.0214992	−	0.101146i
$990$	−16.4184	+	18.6193i	−0.521811	+	0.591761i
$991$	−48.9304	+	10.4005i	−1.55433	+	0.330382i	−0.903413	−	0.428771i	$-0.858947\pi$
$991$	−48.9304	+	10.4005i	−1.55433	+	0.330382i	−0.650912	+	0.759153i	$0.725614\pi$
$992$	38.7524	−	17.2537i	1.23039	−	0.547805i
$993$	−7.86548	+	16.9094i	−0.249603	+	0.536604i
$994$	54.4348	+	34.4724i	1.72657	+	1.09340i
$995$	−41.1730	−	33.9576i	−1.30527	−	1.07653i
$996$	5.29845	+	1.81879i	0.167888	+	0.0576305i
$997$	17.3057	−	38.8693i	0.548078	−	1.23100i	−0.401034	−	0.916063i	$-0.631349\pi$
$997$	17.3057	−	38.8693i	0.548078	−	1.23100i	0.949112	−	0.314940i	$-0.101984\pi$
$998$	25.9247	+	23.3427i	0.820631	+	0.738899i
$999$	6.02617	−	22.7486i	0.190660	−	0.719733i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bm.a.131.18	✓	608
3.2	odd	2	inner	525.2.bm.a.131.59	yes	608
7.3	odd	6	inner	525.2.bm.a.206.18	yes	608
21.17	even	6	inner	525.2.bm.a.206.59	yes	608
25.21	even	5	inner	525.2.bm.a.446.59	yes	608
75.71	odd	10	inner	525.2.bm.a.446.18	yes	608
175.171	odd	30	inner	525.2.bm.a.521.59	yes	608
525.521	even	30	inner	525.2.bm.a.521.18	yes	608

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bm.a.131.18	✓	608	1.1	even	1	trivial
525.2.bm.a.131.59	yes	608	3.2	odd	2	inner
525.2.bm.a.206.18	yes	608	7.3	odd	6	inner
525.2.bm.a.206.59	yes	608	21.17	even	6	inner
525.2.bm.a.446.18	yes	608	75.71	odd	10	inner
525.2.bm.a.446.59	yes	608	25.21	even	5	inner
525.2.bm.a.521.18	yes	608	525.521	even	30	inner
525.2.bm.a.521.59	yes	608	175.171	odd	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bm (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.350482 + 1.64889i) q^{2} +(1.30612 - 1.13757i) q^{3} +(-0.768903 - 0.342338i) q^{4} +(0.782565 + 2.09466i) q^{5} +(1.41795 + 2.55234i) q^{6} +(1.46624 + 2.20230i) q^{7} +(-1.14773 + 1.57971i) q^{8} +(0.411886 - 2.97159i) q^{9} +O(q^{10})\)	\(q+(-0.350482 + 1.64889i) q^{2} +(1.30612 - 1.13757i) q^{3} +(-0.768903 - 0.342338i) q^{4} +(0.782565 + 2.09466i) q^{5} +(1.41795 + 2.55234i) q^{6} +(1.46624 + 2.20230i) q^{7} +(-1.14773 + 1.57971i) q^{8} +(0.411886 - 2.97159i) q^{9} +(-3.72813 + 0.556222i) q^{10} +(1.63138 + 1.46891i) q^{11} +(-1.39371 + 0.427545i) q^{12} +(-1.19770 - 0.389156i) q^{13} +(-4.14524 + 1.64580i) q^{14} +(3.40493 + 1.84565i) q^{15} +(-3.32888 - 3.69709i) q^{16} +(-0.0817770 + 0.778056i) q^{17} +(4.75546 + 1.72064i) q^{18} +(-1.78649 - 4.01251i) q^{19} +(0.115364 - 1.87849i) q^{20} +(4.42035 + 1.20852i) q^{21} +(-2.99383 + 2.17515i) q^{22} +(0.253953 - 1.19476i) q^{23} +(0.297959 + 3.36890i) q^{24} +(-3.77518 + 3.27841i) q^{25} +(1.06145 - 1.83848i) q^{26} +(-2.84241 - 4.34979i) q^{27} +(-0.373466 - 2.19531i) q^{28} +(-3.01364 - 4.14792i) q^{29} +(-4.23664 + 4.96749i) q^{30} +(9.41449 + 0.989503i) q^{31} +(3.88076 - 2.24056i) q^{32} +(3.80176 + 0.0627547i) q^{33} +(-1.25427 - 0.407536i) q^{34} +(-3.46564 + 4.79472i) q^{35} +(-1.33399 + 2.14386i) q^{36} +(3.03047 + 3.36568i) q^{37} +(7.24232 - 1.53940i) q^{38} +(-2.00703 + 0.854178i) q^{39} +(-4.20712 - 1.16787i) q^{40} +(-3.00534 + 9.24948i) q^{41} +(-3.54197 + 6.86510i) q^{42} +2.66236 q^{43} +(-0.751515 - 1.68793i) q^{44} +(6.54679 - 1.46270i) q^{45} +(1.88101 + 0.837482i) q^{46} +(0.524441 + 4.98972i) q^{47} +(-8.55360 - 1.04202i) q^{48} +(-2.70027 + 6.45821i) q^{49} +(-4.08260 - 7.37388i) q^{50} +(0.778280 + 1.10926i) q^{51} +(0.787692 + 0.709241i) q^{52} +(2.00829 - 4.51069i) q^{53} +(8.16854 - 3.16229i) q^{54} +(-1.80019 + 4.56671i) q^{55} +(-5.16184 - 0.211405i) q^{56} +(-6.89786 - 3.20857i) q^{57} +(7.89568 - 3.51538i) q^{58} +(3.29368 - 0.700094i) q^{59} +(-1.98623 - 2.58476i) q^{60} +(2.69106 - 12.6604i) q^{61} +(-4.93119 + 15.1766i) q^{62} +(7.14827 - 3.44997i) q^{63} +(-0.740386 - 2.27867i) q^{64} +(-0.122128 - 2.81331i) q^{65} +(-1.43592 + 6.24668i) q^{66} +(0.826821 - 7.86667i) q^{67} +(0.329237 - 0.570255i) q^{68} +(-1.02742 - 1.84938i) q^{69} +(-6.69131 - 7.39492i) q^{70} +(-8.49151 - 11.6876i) q^{71} +(4.22152 + 4.06123i) q^{72} +(4.44481 + 4.00212i) q^{73} +(-6.61176 + 3.81730i) q^{74} +(-1.20142 + 8.57651i) q^{75} +3.69682i q^{76} +(-0.842971 + 5.74657i) q^{77} +(-0.705018 - 3.60874i) q^{78} +(-0.785222 - 7.47089i) q^{79} +(5.13908 - 9.86608i) q^{80} +(-8.66070 - 2.44791i) q^{81} +(-14.1980 - 8.19725i) q^{82} +(-3.10880 - 2.25868i) q^{83} +(-2.98510 - 2.44249i) q^{84} +(-1.69376 + 0.437585i) q^{85} +(-0.933108 + 4.38993i) q^{86} +(-8.65470 - 1.98946i) q^{87} +(-4.19283 + 0.891212i) q^{88} +(4.03187 + 0.857000i) q^{89} +(0.117300 + 11.3076i) q^{90} +(-0.899076 - 3.20829i) q^{91} +(-0.604276 + 0.831715i) q^{92} +(13.4221 - 9.41720i) q^{93} +(-8.41130 - 0.884063i) q^{94} +(7.00680 - 6.88213i) q^{95} +(2.51994 - 7.34105i) q^{96} +(-0.395447 - 0.544286i) q^{97} +(-9.70247 - 6.71593i) q^{98} +(5.03693 - 4.24279i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 608 q - 9 q^{3} - 78 q^{4} - 36 q^{7} - 3 q^{9}+O(q^{10}) \) 608 * q - 9 * q^3 - 78 * q^4 - 36 * q^7 - 3 * q^9	\( 608 q - 9 q^{3} - 78 q^{4} - 36 q^{7} - 3 q^{9} - 30 q^{10} + 3 q^{12} + 16 q^{15} + 50 q^{16} - 8 q^{18} - 18 q^{19} - 21 q^{21} - 24 q^{22} - 66 q^{24} - 10 q^{25} - 30 q^{28} - 7 q^{30} - 36 q^{31} + 36 q^{33} - 100 q^{36} - 14 q^{37} - 31 q^{39} - 30 q^{40} + 20 q^{42} - 96 q^{43} - 117 q^{45} + 42 q^{46} - 28 q^{49} - 8 q^{51} - 66 q^{52} + 3 q^{54} + 48 q^{57} - 38 q^{58} - 49 q^{60} - 18 q^{61} + 4 q^{63} - 32 q^{64} - 3 q^{66} - 22 q^{67} - 270 q^{70} + 45 q^{72} + 102 q^{73} + 135 q^{75} + 58 q^{78} - 34 q^{79} - 55 q^{81} + 108 q^{82} - 75 q^{84} - 96 q^{85} - 9 q^{87} + 36 q^{88} + 38 q^{91} - 22 q^{93} + 30 q^{94} - 81 q^{96} + 36 q^{99}+O(q^{100}) \) 608 * q - 9 * q^3 - 78 * q^4 - 36 * q^7 - 3 * q^9 - 30 * q^10 + 3 * q^12 + 16 * q^15 + 50 * q^16 - 8 * q^18 - 18 * q^19 - 21 * q^21 - 24 * q^22 - 66 * q^24 - 10 * q^25 - 30 * q^28 - 7 * q^30 - 36 * q^31 + 36 * q^33 - 100 * q^36 - 14 * q^37 - 31 * q^39 - 30 * q^40 + 20 * q^42 - 96 * q^43 - 117 * q^45 + 42 * q^46 - 28 * q^49 - 8 * q^51 - 66 * q^52 + 3 * q^54 + 48 * q^57 - 38 * q^58 - 49 * q^60 - 18 * q^61 + 4 * q^63 - 32 * q^64 - 3 * q^66 - 22 * q^67 - 270 * q^70 + 45 * q^72 + 102 * q^73 + 135 * q^75 + 58 * q^78 - 34 * q^79 - 55 * q^81 + 108 * q^82 - 75 * q^84 - 96 * q^85 - 9 * q^87 + 36 * q^88 + 38 * q^91 - 22 * q^93 + 30 * q^94 - 81 * q^96 + 36 * q^99

Introduction

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