LMFDB - Embedded newform 525.2.bo.a.4.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(4,525)]

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([0, 3, 20]))

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

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

chi := DirichletCharacter("525.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bo (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:	$320$
Relative dimension:	$40$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			4.11
Character	$\chi$	$=$	525.4
Dual form			525.2.bo.a.394.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.323952 - 1.52407i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(-0.390761 + 0.173978i) q^{4} +(-1.32238 + 1.80314i) q^{5} +(-1.26055 + 0.915841i) q^{6} +(1.46476 - 2.20329i) q^{7} +(-1.43994 - 1.98190i) q^{8} +(-0.669131 + 0.743145i) q^{9} +O(q^{10})$	\(q+(-0.323952 - 1.52407i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(-0.390761 + 0.173978i) q^{4} +(-1.32238 + 1.80314i) q^{5} +(-1.26055 + 0.915841i) q^{6} +(1.46476 - 2.20329i) q^{7} +(-1.43994 - 1.98190i) q^{8} +(-0.669131 + 0.743145i) q^{9} +(3.17650 + 1.43128i) q^{10} +(-2.40367 - 2.66954i) q^{11} +(0.317874 + 0.286215i) q^{12} +(2.36667 - 0.768977i) q^{13} +(-3.83248 - 1.51864i) q^{14} +(2.18511 + 0.474655i) q^{15} +(-3.12653 + 3.47236i) q^{16} +(-1.36393 + 0.143355i) q^{17} +(1.34937 + 0.779061i) q^{18} +(-4.95561 - 2.20638i) q^{19} +(0.203030 - 0.934662i) q^{20} +(-2.60858 - 0.441969i) q^{21} +(-3.28991 + 4.52817i) q^{22} +(1.07346 + 5.05024i) q^{23} +(-1.22488 + 2.12156i) q^{24} +(-1.50261 - 4.76888i) q^{25} +(-1.93866 - 3.35786i) q^{26} +(0.951057 + 0.309017i) q^{27} +(-0.189048 + 1.11580i) q^{28} +(-7.75483 - 5.63421i) q^{29} +(0.0155390 - 3.48403i) q^{30} +(-0.0381944 - 0.363395i) q^{31} +(2.06185 + 1.19041i) q^{32} +(-1.46109 + 3.28166i) q^{33} +(0.660331 + 2.03229i) q^{34} +(2.03585 + 5.55475i) q^{35} +(0.132179 - 0.406807i) q^{36} +(-2.87445 - 2.58817i) q^{37} +(-1.75730 + 8.26747i) q^{38} +(-1.66511 - 1.84929i) q^{39} +(5.47780 + 0.0244313i) q^{40} +(2.60864 + 8.02856i) q^{41} +(0.171460 + 4.11883i) q^{42} +4.70986i q^{43} +(1.40370 + 0.624969i) q^{44} +(-0.455145 - 2.18926i) q^{45} +(7.34918 - 3.27207i) q^{46} +(9.94840 + 1.04562i) q^{47} +(4.44383 + 1.44389i) q^{48} +(-2.70895 - 6.45458i) q^{49} +(-6.78134 + 3.83497i) q^{50} +(0.685722 + 1.18770i) q^{51} +(-0.791017 + 0.712235i) q^{52} +(-5.10893 - 11.4748i) q^{53} +(0.162868 - 1.54959i) q^{54} +(7.99212 - 0.803984i) q^{55} +(-6.47587 + 0.269579i) q^{56} +5.42459i q^{57} +(-6.07476 + 13.6441i) q^{58} +(4.30528 + 0.915115i) q^{59} +(-0.936436 + 0.194685i) q^{60} +(4.47718 - 0.951654i) q^{61} +(-0.541468 + 0.175933i) q^{62} +(0.657245 + 2.56282i) q^{63} +(-1.74145 + 5.35962i) q^{64} +(-1.74307 + 5.28431i) q^{65} +(5.47481 + 1.16371i) q^{66} +(13.8728 - 1.45809i) q^{67} +(0.508031 - 0.293312i) q^{68} +(4.17701 - 3.03477i) q^{69} +(7.80633 - 4.90226i) q^{70} +(-3.12768 - 2.27239i) q^{71} +(2.43635 + 0.256071i) q^{72} +(0.571981 - 0.515014i) q^{73} +(-3.01337 + 5.21931i) q^{74} +(-3.74542 + 3.31238i) q^{75} +2.32032 q^{76} +(-9.40257 + 1.38573i) q^{77} +(-2.27903 + 3.13682i) q^{78} +(-0.0511645 + 0.486797i) q^{79} +(-2.12667 - 10.2293i) q^{80} +(-0.104528 - 0.994522i) q^{81} +(11.3910 - 6.57662i) q^{82} +(-9.03704 - 12.4384i) q^{83} +(1.09622 - 0.281131i) q^{84} +(1.54515 - 2.64892i) q^{85} +(7.17817 - 1.52577i) q^{86} +(-1.99294 + 9.37603i) q^{87} +(-1.82965 + 8.60782i) q^{88} +(-6.63755 + 1.41085i) q^{89} +(-3.18914 + 1.40289i) q^{90} +(1.77233 - 6.34081i) q^{91} +(-1.29810 - 1.78668i) q^{92} +(-0.316443 + 0.182698i) q^{93} +(-1.62920 - 15.5008i) q^{94} +(10.5316 - 6.01796i) q^{95} +(0.248863 - 2.36777i) q^{96} +(3.87567 - 5.33440i) q^{97} +(-8.95968 + 6.21960i) q^{98} +3.59223 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−0.323952	−	1.52407i	−0.229068	−	1.07768i	−0.930882	−	0.365321i	$-0.880959\pi$
$2$	−0.323952	−	1.52407i	−0.229068	−	1.07768i	0.701813	−	0.712361i	$-0.252374\pi$
$3$	−0.406737	−	0.913545i	−0.234830	−	0.527436i
$3$	−0.406737	−	0.913545i	−0.234830	−	0.527436i
$4$	−0.390761	+	0.173978i	−0.195381	+	0.0869891i
$5$	−1.32238	+	1.80314i	−0.591388	+	0.806387i
$5$	−1.32238	+	1.80314i	−0.591388	+	0.806387i
$6$	−1.26055	+	0.915841i	−0.514616	+	0.373890i
$7$	1.46476	−	2.20329i	0.553628	−	0.832764i
$7$	1.46476	−	2.20329i	0.553628	−	0.832764i
$8$	−1.43994	−	1.98190i	−0.509095	−	0.700709i
$9$	−0.669131	+	0.743145i	−0.223044	+	0.247715i
$10$	3.17650	+	1.43128i	1.00450	+	0.452610i
$11$	−2.40367	−	2.66954i	−0.724733	−	0.804898i	0.262373	−	0.964967i	$-0.415495\pi$
$11$	−2.40367	−	2.66954i	−0.724733	−	0.804898i	−0.987106	+	0.160069i	$0.948828\pi$
$12$	0.317874	+	0.286215i	0.0917623	+	0.0826232i
$13$	2.36667	−	0.768977i	0.656395	−	0.213276i	0.0381634	−	0.999272i	$-0.487849\pi$
$13$	2.36667	−	0.768977i	0.656395	−	0.213276i	0.618232	+	0.785996i	$0.287849\pi$
$14$	−3.83248	−	1.51864i	−1.02427	−	0.405875i
$15$	2.18511	+	0.474655i	0.564193	+	0.122555i
$16$	−3.12653	+	3.47236i	−0.781632	+	0.868090i
$17$	−1.36393	+	0.143355i	−0.330802	+	0.0347687i	−0.268474	−	0.963287i	$-0.586519\pi$
$17$	−1.36393	+	0.143355i	−0.330802	+	0.0347687i	−0.0623282	+	0.998056i	$0.519853\pi$
$18$	1.34937	+	0.779061i	0.318050	+	0.183626i
$19$	−4.95561	−	2.20638i	−1.13689	−	0.506178i	−0.250044	−	0.968234i	$-0.580445\pi$
$19$	−4.95561	−	2.20638i	−1.13689	−	0.506178i	−0.886851	+	0.462056i	$0.847112\pi$
$20$	0.203030	−	0.934662i	0.0453988	−	0.208997i
$21$	−2.60858	−	0.441969i	−0.569238	−	0.0964455i
$22$	−3.28991	+	4.52817i	−0.701410	+	0.965409i
$23$	1.07346	+	5.05024i	0.223832	+	1.05305i	0.936262	+	0.351304i	$0.114262\pi$
$23$	1.07346	+	5.05024i	0.223832	+	1.05305i	−0.712429	+	0.701744i	$0.752405\pi$
$24$	−1.22488	+	2.12156i	−0.250029	+	0.433062i
$25$	−1.50261	−	4.76888i	−0.300521	−	0.953775i
$26$	−1.93866	−	3.35786i	−0.380203	−	0.658531i
$27$	0.951057	+	0.309017i	0.183031	+	0.0594703i
$28$	−0.189048	+	1.11580i	−0.0357268	+	0.210866i
$29$	−7.75483	−	5.63421i	−1.44004	−	1.04625i	−0.988035	−	0.154230i	$-0.950710\pi$
$29$	−7.75483	−	5.63421i	−1.44004	−	1.04625i	−0.452001	−	0.892018i	$-0.649290\pi$
$30$	0.0155390	−	3.48403i	0.00283701	−	0.636094i
$31$	−0.0381944	−	0.363395i	−0.00685991	−	0.0652677i	0.990556	−	0.137106i	$-0.0437801\pi$
$31$	−0.0381944	−	0.363395i	−0.00685991	−	0.0652677i	−0.997416	+	0.0718383i	$0.977113\pi$
$32$	2.06185	+	1.19041i	0.364486	+	0.210436i
$33$	−1.46109	+	3.28166i	−0.254343	+	0.571264i
$34$	0.660331	+	2.03229i	0.113246	+	0.348535i
$35$	2.03585	+	5.55475i	0.344122	+	0.938925i
$36$	0.132179	−	0.406807i	0.0220299	−	0.0678011i
$37$	−2.87445	−	2.58817i	−0.472556	−	0.425492i	0.398131	−	0.917329i	$-0.369659\pi$
$37$	−2.87445	−	2.58817i	−0.472556	−	0.425492i	−0.870687	+	0.491837i	$0.836326\pi$
$38$	−1.75730	+	8.26747i	−0.285072	+	1.34116i
$39$	−1.66511	−	1.84929i	−0.266630	−	0.296123i
$40$	5.47780	+	0.0244313i	0.866116	+	0.00386292i
$41$	2.60864	+	8.02856i	0.407401	+	1.25385i	0.918874	+	0.394551i	$0.129100\pi$
$41$	2.60864	+	8.02856i	0.407401	+	1.25385i	−0.511473	+	0.859299i	$0.670900\pi$
$42$	0.171460	+	4.11883i	0.0264568	+	0.635550i
$43$			4.70986i			0.718247i	0.933290	+	0.359123i	$0.116924\pi$
$43$			4.70986i			0.718247i	−0.933290	+	0.359123i	$0.883076\pi$
$44$	1.40370	+	0.624969i	0.211616	+	0.0942176i
$45$	−0.455145	−	2.18926i	−0.0678490	−	0.326355i
$46$	7.34918	−	3.27207i	1.08358	−	0.482440i
$47$	9.94840	+	1.04562i	1.45112	+	0.152519i	0.797051	−	0.603913i	$-0.206392\pi$
$47$	9.94840	+	1.04562i	1.45112	+	0.152519i	0.654073	+	0.756432i	$0.273059\pi$
$48$	4.44383	+	1.44389i	0.641412	+	0.208407i
$49$	−2.70895	−	6.45458i	−0.386993	−	0.922083i
$50$	−6.78134	+	3.83497i	−0.959026	+	0.542346i
$51$	0.685722	+	1.18770i	0.0960203	+	0.166312i
$52$	−0.791017	+	0.712235i	−0.109694	+	0.0987692i
$53$	−5.10893	−	11.4748i	−0.701766	−	1.57619i	−0.812912	−	0.582387i	$-0.802119\pi$
$53$	−5.10893	−	11.4748i	−0.701766	−	1.57619i	0.111146	−	0.993804i	$-0.464548\pi$
$54$	0.162868	−	1.54959i	0.0221635	−	0.210872i
$55$	7.99212	−	0.803984i	1.07766	−	0.108409i
$56$	−6.47587	+	0.269579i	−0.865375	+	0.0360240i
$57$			5.42459i			0.718504i
$58$	−6.07476	+	13.6441i	−0.797655	+	1.79156i
$59$	4.30528	+	0.915115i	0.560499	+	0.119138i	0.479445	−	0.877572i	$-0.340838\pi$
$59$	4.30528	+	0.915115i	0.560499	+	0.119138i	0.0810543	+	0.996710i	$0.474171\pi$
$60$	−0.936436	+	0.194685i	−0.120893	+	0.0251337i
$61$	4.47718	−	0.951654i	0.573244	−	0.121847i	0.0878366	−	0.996135i	$-0.472005\pi$
$61$	4.47718	−	0.951654i	0.573244	−	0.121847i	0.485407	+	0.874288i	$0.338671\pi$
$62$	−0.541468	+	0.175933i	−0.0687664	+	0.0223436i
$63$	0.657245	+	2.56282i	0.0828050	+	0.322885i
$64$	−1.74145	+	5.35962i	−0.217681	+	0.669953i
$65$	−1.74307	+	5.28431i	−0.216201	+	0.655438i
$66$	5.47481	+	1.16371i	0.673903	+	0.143242i
$67$	13.8728	−	1.45809i	1.69483	−	0.178134i	0.792704	−	0.609607i	$-0.208673\pi$
$67$	13.8728	−	1.45809i	1.69483	−	0.178134i	0.902126	+	0.431473i	$0.142006\pi$
$68$	0.508031	−	0.293312i	0.0616078	−	0.0355693i
$69$	4.17701	−	3.03477i	0.502852	−	0.365344i
$70$	7.80633	−	4.90226i	0.933035	−	0.585932i
$71$	−3.12768	−	2.27239i	−0.371187	−	0.269683i	0.386516	−	0.922283i	$-0.373679\pi$
$71$	−3.12768	−	2.27239i	−0.371187	−	0.269683i	−0.757703	+	0.652599i	$0.773679\pi$
$72$	2.43635	+	0.256071i	0.287126	+	0.0301782i
$73$	0.571981	−	0.515014i	0.0669453	−	0.0602778i	−0.634979	−	0.772530i	$-0.718991\pi$
$73$	0.571981	−	0.515014i	0.0669453	−	0.0602778i	0.701924	+	0.712252i	$0.252325\pi$
$74$	−3.01337	+	5.21931i	−0.350297	+	0.606732i
$75$	−3.74542	+	3.31238i	−0.432484	+	0.382480i
$76$	2.32032			0.266159
$77$	−9.40257	+	1.38573i	−1.07152	+	0.157918i
$78$	−2.27903	+	3.13682i	−0.258050	+	0.355175i
$79$	−0.0511645	+	0.486797i	−0.00575645	+	0.0547690i	−0.997023	−	0.0771043i	$-0.975433\pi$
$79$	−0.0511645	+	0.486797i	−0.00575645	+	0.0547690i	0.991267	+	0.131873i	$0.0420992\pi$
$80$	−2.12667	−	10.2293i	−0.237769	−	1.14368i
$81$	−0.104528	−	0.994522i	−0.0116143	−	0.110502i
$82$	11.3910	−	6.57662i	1.25793	−	0.726266i
$83$	−9.03704	−	12.4384i	−0.991943	−	1.36529i	−0.930140	−	0.367205i	$-0.880315\pi$
$83$	−9.03704	−	12.4384i	−0.991943	−	1.36529i	−0.0618033	−	0.998088i	$-0.519685\pi$
$84$	1.09622	−	0.281131i	0.119608	−	0.0306739i
$85$	1.54515	−	2.64892i	0.167595	−	0.287316i
$86$	7.17817	−	1.52577i	0.774042	−	0.164528i
$87$	−1.99294	+	9.37603i	−0.213665	+	1.00522i
$88$	−1.82965	+	8.60782i	−0.195041	+	0.917597i
$89$	−6.63755	+	1.41085i	−0.703579	+	0.149550i	−0.545789	−	0.837922i	$-0.683770\pi$
$89$	−6.63755	+	1.41085i	−0.703579	+	0.149550i	−0.157790	+	0.987473i	$0.550437\pi$
$90$	−3.18914	+	1.40289i	−0.336165	+	0.147877i
$91$	1.77233	−	6.34081i	0.185790	−	0.664698i
$92$	−1.29810	−	1.78668i	−0.135336	−	0.186274i
$93$	−0.316443	+	0.182698i	−0.0328136	+	0.0189449i
$94$	−1.62920	−	15.5008i	−0.168039	−	1.59879i
$95$	10.5316	−	6.01796i	1.08052	−	0.617430i
$96$	0.248863	−	2.36777i	0.0253995	−	0.241660i
$97$	3.87567	−	5.33440i	0.393515	−	0.541627i	−0.565587	−	0.824689i	$-0.691350\pi$
$97$	3.87567	−	5.33440i	0.393515	−	0.541627i	0.959102	+	0.283062i	$0.0913503\pi$
$98$	−8.95968	+	6.21960i	−0.905064	+	0.628275i
$99$	3.59223			0.361032
$100$	1.41684	+	1.60207i	0.141684	+	0.160207i
$101$	7.97143	−	13.8069i	0.793187	−	1.37384i	−0.130796	−	0.991409i	$-0.541753\pi$
$101$	7.97143	−	13.8069i	0.793187	−	1.37384i	0.923984	−	0.382432i	$-0.124913\pi$
$102$	1.58801	−	1.42985i	0.157236	−	0.141576i
$103$	3.80967	+	0.400413i	0.375378	+	0.0394538i	0.290339	−	0.956924i	$-0.406232\pi$
$103$	3.80967	+	0.400413i	0.375378	+	0.0394538i	0.0850390	+	0.996378i	$0.472899\pi$
$104$	−4.93189	−	3.58323i	−0.483612	−	0.351365i
$105$	4.24647	−	4.11917i	0.414413	−	0.401990i
$106$	−15.8334	+	11.5037i	−1.53788	+	1.11734i
$107$	11.8736	−	6.85521i	1.14786	−	0.662718i	0.199497	−	0.979899i	$-0.436069\pi$
$107$	11.8736	−	6.85521i	1.14786	−	0.662718i	0.948365	+	0.317180i	$0.102736\pi$
$108$	−0.425398	+	0.0447112i	−0.0409340	+	0.00430234i
$109$	−9.76907	−	2.07648i	−0.935708	−	0.198891i	−0.285267	−	0.958448i	$-0.592082\pi$
$109$	−9.76907	−	2.07648i	−0.935708	−	0.198891i	−0.650440	+	0.759557i	$0.725416\pi$
$110$	−3.81439	−	11.9201i	−0.363688	−	1.13654i
$111$	−1.19526	+	3.67864i	−0.113449	+	0.349161i
$112$	3.07099	+	11.9748i	0.290181	+	1.13151i
$113$	−1.42803	+	0.463994i	−0.134337	+	0.0436489i	−0.375414	−	0.926857i	$-0.622499\pi$
$113$	−1.42803	+	0.463994i	−0.134337	+	0.0436489i	0.241077	+	0.970506i	$0.422499\pi$
$114$	8.26747	−	1.75730i	0.774319	−	0.164587i
$115$	−10.5258	−	4.74275i	−0.981536	−	0.442264i
$116$	4.01052	+	0.852462i	0.372367	+	0.0791491i
$117$	−1.01215	+	2.27332i	−0.0935731	+	0.210169i
$118$		−	6.85801i		−	0.631331i
$119$	−1.68198	+	3.21511i	−0.154187	+	0.294729i
$120$	−2.20570	−	5.01415i	−0.201352	−	0.457727i
$121$	−0.199031	+	1.89365i	−0.0180937	+	0.172150i
$122$	−2.90078	−	6.51525i	−0.262624	−	0.589863i
$123$	6.27343	−	5.64862i	0.565656	−	0.509319i
$124$	0.0781477	+	0.135356i	0.00701787	+	0.0121553i
$125$	10.5860	+	3.59687i	0.946837	+	0.321714i
$126$	3.69300	−	1.83192i	0.328999	−	0.163200i
$127$	−18.6759	−	6.06816i	−1.65722	−	0.538462i	−0.676930	−	0.736048i	$-0.736690\pi$
$127$	−18.6759	−	6.06816i	−1.65722	−	0.538462i	−0.980286	+	0.197586i	$0.936690\pi$
$128$	13.4681	+	1.41556i	1.19043	+	0.125119i
$129$	4.30267	−	1.91567i	0.378829	−	0.168666i
$130$	8.61834	+	0.944705i	0.755878	+	0.0828561i
$131$	15.4655	+	6.88570i	1.35123	+	0.601606i	0.949389	−	0.314103i	$-0.101704\pi$
$131$	15.4655	+	6.88570i	1.35123	+	0.601606i	0.401841	+	0.915710i	$0.368371\pi$
$132$		−	1.53654i		−	0.133739i
$133$	−12.1201	+	7.68681i	−1.05094	+	0.666531i
$134$	−6.71634	−	20.6708i	−0.580203	−	1.78568i
$135$	−1.81486	+	1.30625i	−0.156198	+	0.112424i
$136$	2.24809	+	2.49676i	0.192772	+	0.214095i
$137$	0.123305	−	0.580105i	0.0105347	−	0.0495617i	−0.972566	−	0.232626i	$-0.925268\pi$
$137$	0.123305	−	0.580105i	0.0105347	−	0.0495617i	0.983101	+	0.183064i	$0.0586016\pi$
$138$	−5.97836	−	5.38294i	−0.508912	−	0.458226i
$139$	2.42758	−	7.47131i	0.205904	−	0.633708i	−0.793771	−	0.608217i	$-0.791885\pi$
$139$	2.42758	−	7.47131i	0.205904	−	0.633708i	0.999675	−	0.0254911i	$-0.00811494\pi$
$140$	−1.76194	−	1.81639i	−0.148911	−	0.153513i
$141$	−3.09116	−	9.51361i	−0.260322	−	0.801190i
$142$	−2.45007	+	5.50296i	−0.205606	+	0.461798i
$143$	−7.74150	−	4.46956i	−0.647377	−	0.373763i
$144$	−0.488411	−	4.64692i	−0.0407009	−	0.387244i
$145$	20.4141	−	6.53243i	1.69530	−	0.542489i
$146$	−0.970212	−	0.704900i	−0.0802953	−	0.0583380i
$147$	−4.79472	+	5.10006i	−0.395462	+	0.420646i
$148$	1.57351	+	0.511264i	0.129342	+	0.0420256i
$149$	1.69822	+	2.94140i	0.139123	+	0.240969i	0.927165	−	0.374653i	$-0.122238\pi$
$149$	1.69822	+	2.94140i	0.139123	+	0.240969i	−0.788042	+	0.615622i	$0.788905\pi$
$150$	6.26164	+	4.63524i	0.511260	+	0.378466i
$151$	3.99218	−	6.91466i	0.324879	−	0.562707i	−0.656609	−	0.754231i	$-0.728010\pi$
$151$	3.99218	−	6.91466i	0.324879	−	0.562707i	0.981488	+	0.191524i	$0.0613431\pi$
$152$	2.76294	+	12.9986i	0.224104	+	1.05433i
$153$	0.806114	−	1.10952i	0.0651705	−	0.0896995i
$154$	5.15792	+	13.8813i	0.415637	+	1.11859i
$155$	0.705759	+	0.411678i	0.0566879	+	0.0330668i
$156$	0.972395	+	0.432938i	0.0778539	+	0.0346628i
$157$	9.45148	+	5.45682i	0.754310	+	0.435501i	0.827249	−	0.561835i	$-0.189904\pi$
$157$	9.45148	+	5.45682i	0.754310	+	0.435501i	−0.0729388	+	0.997336i	$0.523238\pi$
$158$	0.758489	−	0.0797204i	0.0603422	−	0.00634222i
$159$	−8.40480	+	9.33448i	−0.666544	+	0.740272i
$160$	−4.87302	+	2.14362i	−0.385246	+	0.169468i
$161$	12.6995	+	5.03225i	1.00086	+	0.396597i
$162$	−1.48186	+	0.481486i	−0.116426	+	0.0378291i
$163$	14.8636	+	13.3832i	1.16420	+	1.04825i	0.998067	+	0.0621519i	$0.0197963\pi$
$163$	14.8636	+	13.3832i	1.16420	+	1.04825i	0.166138	+	0.986103i	$0.446870\pi$
$164$	−2.41615	−	2.68341i	−0.188670	−	0.209539i
$165$	−3.98517	−	6.97416i	−0.310245	−	0.542937i
$166$	−16.0295	+	17.8025i	−1.24413	+	1.38175i
$167$	9.32308	+	12.8321i	0.721442	+	0.992980i	0.999475	+	0.0324080i	$0.0103176\pi$
$167$	9.32308	+	12.8321i	0.721442	+	0.992980i	−0.278033	+	0.960572i	$0.589682\pi$
$168$	2.88025	+	5.80635i	0.222216	+	0.447970i
$169$	−5.50743	+	4.00138i	−0.423649	+	0.307799i
$170$	−4.53771	−	1.49680i	−0.348026	−	0.114799i
$171$	4.95561	−	2.20638i	0.378965	−	0.168726i
$172$	−0.819413	−	1.84043i	−0.0624797	−	0.140332i
$173$	−3.57366	−	16.8128i	−0.271701	−	1.27825i	−0.876317	−	0.481734i	$-0.840007\pi$
$173$	−3.57366	−	16.8128i	−0.271701	−	1.27825i	0.604617	−	0.796517i	$-0.293326\pi$
$174$	14.9354			1.13225
$175$	−12.7082	−	3.67459i	−0.960647	−	0.277773i
$176$	16.7847			1.26520
$177$	−0.915115	−	4.30528i	−0.0687843	−	0.323605i
$178$	4.30049	+	9.65906i	0.322335	+	0.723977i
$179$	−5.20113	+	2.31569i	−0.388750	+	0.173083i	−0.591799	−	0.806086i	$-0.701582\pi$
$179$	−5.20113	+	2.31569i	−0.388750	+	0.173083i	0.203048	+	0.979169i	$0.434915\pi$
$180$	0.558736	+	0.776292i	0.0416457	+	0.0578614i
$181$	−8.20429	+	5.96077i	−0.609820	+	0.443060i	−0.849351	−	0.527829i	$-0.823006\pi$
$181$	−8.20429	+	5.96077i	−0.609820	+	0.443060i	0.239531	+	0.970889i	$0.423006\pi$
$182$	−10.2380	−	0.647037i	−0.758892	−	0.0479615i
$183$	−2.69041	−	3.70303i	−0.198881	−	0.273736i
$184$	8.46337	−	9.39953i	0.623928	−	0.692942i
$185$	8.46794	−	1.76048i	0.622575	−	0.129433i
$186$	0.380958	+	0.423097i	0.0279332	+	0.0310229i
$187$	3.66113	+	3.29650i	0.267728	+	0.241064i
$188$	−4.06937	+	1.32222i	−0.296789	+	0.0964326i
$189$	2.07392	−	1.64281i	0.150856	−	0.119497i
$190$	−12.5835	−	14.1014i	−0.912906	−	1.02302i
$191$	4.95168	−	5.49940i	0.358291	−	0.397923i	−0.536870	−	0.843665i	$-0.680394\pi$
$191$	4.95168	−	5.49940i	0.358291	−	0.397923i	0.895161	+	0.445742i	$0.147060\pi$
$192$	5.60457	−	0.589064i	0.404475	−	0.0425120i
$193$	18.1637	+	10.4868i	1.30745	+	0.754858i	0.981670	−	0.190586i	$-0.0610389\pi$
$193$	18.1637	+	10.4868i	1.30745	+	0.754858i	0.325783	+	0.945445i	$0.394372\pi$
$194$	−9.38555	−	4.17872i	−0.673843	−	0.300014i
$195$	5.53642	−	0.556948i	0.396472	−	0.0398839i
$196$	2.18151	+	2.05090i	0.155822	+	0.146493i
$197$	9.50481	−	13.0822i	0.677189	−	0.932071i	−0.322706	−	0.946499i	$-0.604593\pi$
$197$	9.50481	−	13.0822i	0.677189	−	0.932071i	0.999896	+	0.0144278i	$0.00459267\pi$
$198$	−1.16371	−	5.47481i	−0.0827011	−	0.389078i
$199$	−0.542013	+	0.938793i	−0.0384222	+	0.0665493i	−0.884597	−	0.466356i	$-0.845567\pi$
$199$	−0.542013	+	0.938793i	−0.0384222	+	0.0665493i	0.846175	+	0.532905i	$0.178900\pi$
$200$	−7.28780	+	9.84491i	−0.515325	+	0.696140i
$201$	−6.97460	−	12.0804i	−0.491950	−	0.852083i
$202$	−23.6251	−	7.67627i	−1.66226	−	0.540100i
$203$	−23.7728	+	8.83334i	−1.66852	+	0.619979i
$204$	−0.474588	−	0.344809i	−0.0332278	−	0.0241414i
$205$	−17.9262	−	5.91310i	−1.25202	−	0.412989i
$206$	−0.623892	−	5.93593i	−0.0434686	−	0.413576i
$207$	−4.47134	−	2.58153i	−0.310780	−	0.179429i
$208$	−4.72928	+	10.6221i	−0.327917	+	0.736513i
$209$	6.02161	+	18.5326i	0.416524	+	1.28193i
$210$	−7.65356	−	5.13751i	−0.528146	−	0.354522i
$211$	2.34506	−	7.21736i	0.161441	−	0.496864i	−0.837316	−	0.546720i	$-0.815876\pi$
$211$	2.34506	−	7.21736i	0.161441	−	0.496864i	0.998756	+	0.0498560i	$0.0158763\pi$
$212$	3.99275	+	3.59508i	0.274223	+	0.246911i
$213$	−0.803792	+	3.78154i	−0.0550749	+	0.259107i
$214$	−14.2943	−	15.8754i	−0.977139	−	1.08522i
$215$	−8.49252	−	6.22824i	−0.579185	−	0.424762i
$216$	−0.757020	−	2.32987i	−0.0515087	−	0.158527i
$217$	−0.856610	−	0.448134i	−0.0581504	−	0.0304213i
$218$			15.5615i			1.05395i
$219$	−0.703134	−	0.313055i	−0.0475134	−	0.0211543i
$220$	−2.98314	+	1.70462i	−0.201123	+	0.114926i
$221$	−3.11773	+	1.38810i	−0.209721	+	0.0933740i
$222$	5.99372	+	0.629966i	0.402272	+	0.0422805i
$223$	0.774555	+	0.251668i	0.0518681	+	0.0168530i	0.334836	−	0.942276i	$-0.391319\pi$
$223$	0.774555	+	0.251668i	0.0518681	+	0.0168530i	−0.282968	+	0.959129i	$0.591319\pi$
$224$	5.64292	−	2.79918i	0.377034	−	0.187028i
$225$	4.54941	+	2.07435i	0.303294	+	0.138290i
$226$	1.16977	+	2.02610i	0.0778121	+	0.134774i
$227$	9.92962	−	8.94067i	0.659052	−	0.593413i	−0.270225	−	0.962797i	$-0.587098\pi$
$227$	9.92962	−	8.94067i	0.659052	−	0.593413i	0.929277	+	0.369384i	$0.120431\pi$
$228$	−0.943760	−	2.11972i	−0.0625021	−	0.140382i
$229$	−0.553065	+	5.26206i	−0.0365476	+	0.347727i	0.960933	+	0.276782i	$0.0892681\pi$
$229$	−0.553065	+	5.26206i	−0.0365476	+	0.347727i	−0.997480	+	0.0709447i	$0.977399\pi$
$230$	−3.81845	+	17.5785i	−0.251781	+	1.15909i
$231$	5.09029	+	8.02605i	0.334917	+	0.528075i
$232$			23.4823i			1.54169i
$233$	10.3387	−	23.2212i	0.677314	−	1.52127i	−0.167306	−	0.985905i	$-0.553507\pi$
$233$	10.3387	−	23.2212i	0.677314	−	1.52127i	0.844620	−	0.535367i	$-0.179827\pi$
$234$	3.79260	+	0.806141i	0.247930	+	0.0526991i
$235$	−15.0410	+	16.5556i	−0.981166	+	1.07997i
$236$	−1.84155	+	0.391433i	−0.119874	+	0.0254801i
$237$	0.465522	−	0.151257i	0.0302389	−	0.00982521i
$238$	5.44494	+	1.52192i	0.352943	+	0.0986515i
$239$	−5.91192	+	18.1950i	−0.382410	+	1.17694i	0.555931	+	0.831228i	$0.312362\pi$
$239$	−5.91192	+	18.1950i	−0.382410	+	1.17694i	−0.938342	+	0.345710i	$0.887638\pi$
$240$	−8.47997	+	6.10346i	−0.547380	+	0.393977i
$241$	−4.77053	−	1.01401i	−0.307297	−	0.0653179i	0.0516823	−	0.998664i	$-0.483542\pi$
$241$	−4.77053	−	1.01401i	−0.307297	−	0.0653179i	−0.358979	+	0.933346i	$0.616875\pi$
$242$	2.95054	−	0.310114i	0.189668	−	0.0199349i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	−1.58394	+	1.15080i	−0.101401	+	0.0736725i
$245$	15.2208	+	3.65082i	0.972419	+	0.233242i
$246$	−10.6412	−	7.73128i	−0.678457	−	0.492928i
$247$	−13.4249	−	1.41102i	−0.854208	−	0.0897809i
$248$	−0.665217	+	0.598964i	−0.0422413	+	0.0380343i
$249$	−7.68736	+	13.3149i	−0.487167	+	0.843798i
$250$	2.05256	−	17.2990i	0.129815	−	1.09408i
$251$	−1.05644			−0.0666818			−0.0333409	−	0.999444i	$-0.510615\pi$
$251$	−1.05644			−0.0666818			−0.0333409	+	0.999444i	$0.510615\pi$
$252$	−0.702700	−	0.887104i	−0.0442659	−	0.0558823i
$253$	10.9016	−	15.0047i	0.685377	−	0.943340i
$254$	−3.19823	+	30.4292i	−0.200675	+	1.90930i
$255$	−3.04838	−	0.334150i	−0.190897	−	0.0209253i
$256$	−1.02748	−	9.77586i	−0.0642178	−	0.610991i
$257$	−23.6909	+	13.6779i	−1.47780	+	0.853206i	−0.999685	−	0.0250942i	$-0.992011\pi$
$257$	−23.6909	+	13.6779i	−1.47780	+	0.853206i	−0.478110	+	0.878300i	$0.658678\pi$
$258$	−4.31348	−	5.93700i	−0.268546	−	0.369621i
$259$	−9.91285	+	2.54219i	−0.615955	+	0.157964i
$260$	−0.238230	−	2.36816i	−0.0147744	−	0.146867i
$261$	9.37603	−	1.99294i	0.580362	−	0.123360i
$262$	5.48422	−	25.8012i	0.338816	−	1.59400i
$263$	−2.73769	+	12.8798i	−0.168813	+	0.794203i	0.809508	+	0.587109i	$0.199734\pi$
$263$	−2.73769	+	12.8798i	−0.168813	+	0.794203i	−0.978321	+	0.207094i	$0.933599\pi$
$264$	8.60782	−	1.82965i	0.529775	−	0.112607i
$265$	27.4467	+	5.96204i	1.68604	+	0.366245i
$266$	15.6416	+	15.9817i	0.959046	+	0.979902i
$267$	3.98861	+	5.48986i	0.244099	+	0.335974i
$268$	−5.16727	+	2.98333i	−0.315641	+	0.182236i
$269$	1.36100	+	12.9490i	0.0829814	+	0.789516i	0.954311	+	0.298817i	$0.0965919\pi$
$269$	1.36100	+	12.9490i	0.0829814	+	0.789516i	−0.871329	+	0.490699i	$0.836741\pi$
$270$	2.57874	+	2.34282i	0.156937	+	0.142579i
$271$	−0.946108	+	9.00161i	−0.0574720	+	0.546809i	0.927467	+	0.373906i	$0.121982\pi$
$271$	−0.946108	+	9.00161i	−0.0574720	+	0.546809i	−0.984939	+	0.172904i	$0.944685\pi$
$272$	3.76659	−	5.18426i	0.228383	−	0.314342i
$273$	−6.51349	+	0.959941i	−0.394214	+	0.0580983i
$274$	−0.924067			−0.0558250
$275$	−9.11895	+	15.4741i	−0.549894	+	0.933121i
$276$	−1.10423	+	1.91258i	−0.0664668	+	0.115124i
$277$	3.65030	−	3.28675i	0.219325	−	0.197482i	−0.552142	−	0.833750i	$-0.686190\pi$
$277$	3.65030	−	3.28675i	0.219325	−	0.197482i	0.771468	+	0.636268i	$0.219523\pi$
$278$	−12.1732	−	1.27946i	−0.730102	−	0.0767368i
$279$	0.295612	+	0.214775i	0.0176978	+	0.0128582i
$280$	8.07749	−	12.0334i	0.482723	−	0.719131i
$281$	9.33304	−	6.78085i	0.556763	−	0.404512i	−0.273510	−	0.961869i	$-0.588185\pi$
$281$	9.33304	−	6.78085i	0.556763	−	0.404512i	0.830273	+	0.557357i	$0.188185\pi$
$282$	−13.4980	+	7.79310i	−0.803797	+	0.464072i
$283$	−3.53145	+	0.371171i	−0.209923	+	0.0220638i	−0.208906	−	0.977936i	$-0.566990\pi$
$283$	−3.53145	+	0.371171i	−0.209923	+	0.0220638i	−0.00101688	+	0.999999i	$0.500324\pi$
$284$	1.61752	+	0.343815i	0.0959824	+	0.0204017i
$285$	−9.78128	−	7.17338i	−0.579393	−	0.424915i
$286$	−4.30406	+	13.2465i	−0.254504	+	0.783284i
$287$	21.5103	+	6.01235i	1.26971	+	0.354898i
$288$	−2.26429	+	0.735712i	−0.133425	+	0.0433523i
$289$	−14.7888	+	3.14345i	−0.869927	+	0.184909i
$290$	−16.5691	−	28.9964i	−0.972970	−	1.70273i
$291$	−6.44960	−	1.37090i	−0.378082	−	0.0803638i
$292$	−0.133907	+	0.300760i	−0.00783631	+	0.0176006i
$293$		−	11.3013i		−	0.660231i	−0.943941	−	0.330115i	$-0.892912\pi$
$293$		−	11.3013i		−	0.660231i	0.943941	−	0.330115i	$-0.107088\pi$
$294$	9.32612	+	5.65533i	0.543910	+	0.329826i
$295$	−7.34330	+	6.55287i	−0.427544	+	0.381523i
$296$	−0.990469	+	9.42368i	−0.0575698	+	0.547740i
$297$	−1.46109	−	3.28166i	−0.0847810	−	0.190421i
$298$	3.93277	−	3.54108i	0.227819	−	0.205129i
$299$	6.42404	+	11.1268i	0.371512	+	0.643477i
$300$	0.887284	−	1.94597i	0.0512274	−	0.112351i
$301$	10.3772	+	6.89882i	0.598130	+	0.397641i
$302$	−11.8317	−	3.84436i	−0.680838	−	0.221218i
$303$	−15.8555	−	1.66648i	−0.910877	−	0.0957370i
$304$	23.1552	−	10.3094i	1.32804	−	0.591282i
$305$	−4.20458	+	9.33142i	−0.240754	+	0.534315i
$306$	−1.95213	−	0.869145i	−0.111596	−	0.0496857i
$307$			21.9684i			1.25380i	0.779099	+	0.626901i	$0.215677\pi$
$307$			21.9684i			1.25380i	−0.779099	+	0.626901i	$0.784323\pi$
$308$	3.43308	−	2.17733i	0.195618	−	0.124065i
$309$	−1.18374	−	3.64317i	−0.0673405	−	0.207253i
$310$	0.398795	−	1.20899i	0.0226500	−	0.0686661i
$311$	19.1945	+	21.3177i	1.08842	+	1.20882i	0.976595	+	0.215088i	$0.0690037\pi$
$311$	19.1945	+	21.3177i	1.08842	+	1.20882i	0.111827	+	0.993728i	$0.464330\pi$
$312$	−1.26746	+	5.96294i	−0.0717559	+	0.337585i
$313$	−19.0814	−	17.1810i	−1.07855	−	0.971127i	−0.0788772	−	0.996884i	$-0.525133\pi$
$313$	−19.0814	−	17.1810i	−1.07855	−	0.971127i	−0.999668	+	0.0257577i	$0.991800\pi$
$314$	5.25476	−	16.1725i	0.296543	−	0.912666i
$315$	−5.49024	−	2.20392i	−0.309340	−	0.124177i
$316$	−0.0646990	−	0.199123i	−0.00363960	−	0.0112015i
$317$	−6.44032	+	14.4652i	−0.361725	+	0.812447i	0.637397	+	0.770536i	$0.280011\pi$
$317$	−6.44032	+	14.4652i	−0.361725	+	0.812447i	−0.999121	+	0.0419110i	$0.986655\pi$
$318$	16.9492	+	9.78561i	0.950462	+	0.548750i
$319$	3.59926	+	34.2446i	0.201520	+	1.91733i
$320$	−7.36128	−	10.2275i	−0.411508	−	0.571737i
$321$	−11.0920	−	8.05879i	−0.619093	−	0.449798i
$322$	3.55550	−	20.9851i	0.198140	−	1.16946i
$323$	7.07540	+	2.29894i	0.393686	+	0.127916i
$324$	0.213871	+	0.370435i	0.0118817	+	0.0205797i
$325$	−7.22332	−	10.1309i	−0.400678	−	0.561960i
$326$	15.5819	−	26.9887i	0.863003	−	1.49476i
$327$	2.07648	+	9.76907i	0.114830	+	0.540231i
$328$	12.1556	−	16.7307i	0.671179	−	0.923798i
$329$	16.8758	−	20.3876i	0.930395	−	1.12400i
$330$	−9.33812	+	8.33297i	−0.514047	+	0.458715i
$331$	−7.26304	−	3.23372i	−0.399213	−	0.177741i	0.197302	−	0.980343i	$-0.436782\pi$
$331$	−7.26304	−	3.23372i	−0.399213	−	0.177741i	−0.596515	+	0.802602i	$0.703449\pi$
$332$	5.69534	+	3.28820i	0.312572	+	0.180464i
$333$	3.84676	−	0.404311i	0.210801	−	0.0221561i
$334$	16.5369	−	18.3660i	0.904857	−	1.00495i
$335$	−15.7160	+	26.9427i	−0.858656	+	1.47204i
$336$	9.69045	−	7.67608i	0.528658	−	0.418765i
$337$	−22.6050	+	7.34480i	−1.23137	+	0.400097i	−0.851211	−	0.524824i	$-0.824131\pi$
$337$	−22.6050	+	7.34480i	−1.23137	+	0.400097i	−0.380160	+	0.924921i	$0.624131\pi$
$338$	7.88254	+	7.09747i	0.428754	+	0.386052i
$339$	1.00471	+	1.11584i	0.0545684	+	0.0606043i
$340$	−0.142930	+	1.30392i	−0.00775147	+	0.0707150i
$341$	−0.878293	+	0.975443i	−0.0475622	+	0.0528232i
$342$	−4.96806	−	6.83795i	−0.268642	−	0.369754i
$343$	−18.1893	−	3.48583i	−0.982127	−	0.188217i
$344$	9.33449	−	6.78191i	0.503282	−	0.365656i
$345$	−0.0514907	+	11.5448i	−0.00277216	+	0.621554i
$346$	−24.4662	+	10.8930i	−1.31531	+	0.585614i
$347$	0.294741	+	0.661999i	0.0158225	+	0.0355379i	0.921284	−	0.388891i	$-0.127142\pi$
$347$	0.294741	+	0.661999i	0.0158225	+	0.0355379i	−0.905461	+	0.424429i	$0.860475\pi$
$348$	−0.852462	−	4.01052i	−0.0456968	−	0.214986i
$349$	12.3752			0.662429			0.331214	−	0.943556i	$-0.392542\pi$
$349$	12.3752			0.662429			0.331214	+	0.943556i	$0.392542\pi$
$350$	−1.48351	+	20.5586i	−0.0792971	+	1.09890i
$351$	2.48846			0.132824
$352$	−1.77815	−	8.36553i	−0.0947757	−	0.445884i
$353$	−6.65723	−	14.9524i	−0.354329	−	0.795835i	−0.999494	−	0.0317925i	$-0.989878\pi$
$353$	−6.65723	−	14.9524i	−0.354329	−	0.795835i	0.645166	−	0.764043i	$-0.276788\pi$
$354$	−6.26510	+	2.78940i	−0.332986	+	0.148255i
$355$	8.23343	−	2.63466i	0.436985	−	0.139833i
$356$	2.34824	−	1.70610i	0.124456	−	0.0904229i
$357$	3.62127	+	0.228863i	0.191658	+	0.0121127i
$358$	5.21419	+	7.17672i	0.275579	+	0.379302i
$359$	8.77781	−	9.74874i	0.463275	−	0.514519i	−0.465558	−	0.885017i	$-0.654146\pi$
$359$	8.77781	−	9.74874i	0.463275	−	0.514519i	0.928833	+	0.370498i	$0.120813\pi$
$360$	−3.68352	+	4.05445i	−0.194138	+	0.213688i
$361$	6.97647	+	7.74815i	0.367182	+	0.407797i
$362$	11.7424	+	10.5729i	0.617168	+	0.555701i
$363$	1.81089	−	0.588394i	0.0950472	−	0.0308827i
$364$	0.410607	+	2.78609i	0.0215216	+	0.146031i
$365$	0.172263	+	1.71240i	0.00901665	+	0.0896314i
$366$	−4.77213	+	5.29998i	−0.249443	+	0.277035i
$367$	−6.47590	+	0.680644i	−0.338039	+	0.0355293i	−0.272027	−	0.962290i	$-0.587694\pi$
$367$	−6.47590	+	0.680644i	−0.338039	+	0.0355293i	−0.0660117	+	0.997819i	$0.521027\pi$
$368$	−20.8924	−	12.0623i	−1.08909	−	0.628789i
$369$	−7.71190	−	3.43356i	−0.401466	−	0.178744i
$370$	−5.42630	−	12.3354i	−0.282100	−	0.641289i
$371$	−32.7657	−	5.55147i	−1.70111	−	0.288218i
$372$	0.0918682	−	0.126446i	0.00476314	−	0.00655590i
$373$	−5.45545	−	25.6659i	−0.282473	−	1.32893i	−0.859052	−	0.511888i	$-0.828946\pi$
$373$	−5.45545	−	25.6659i	−0.282473	−	1.32893i	0.576580	−	0.817041i	$-0.304387\pi$
$374$	3.83807	−	6.64773i	0.198462	−	0.343746i
$375$	−1.01979	−	11.1337i	−0.0526617	−	0.574944i
$376$	−12.2528	−	21.2224i	−0.631888	−	1.09446i
$377$	−22.6857	−	7.37102i	−1.16837	−	0.379627i
$378$	−3.17562	−	2.62862i	−0.163336	−	0.135202i
$379$	−6.84172	−	4.97080i	−0.351436	−	0.255333i	0.398035	−	0.917370i	$-0.369692\pi$
$379$	−6.84172	−	4.97080i	−0.351436	−	0.255333i	−0.749471	+	0.662037i	$0.769692\pi$
$380$	−3.06836	+	4.18386i	−0.157403	+	0.214627i
$381$	2.05262	+	19.5294i	0.105159	+	1.00052i
$382$	−9.98559	−	5.76518i	−0.510907	−	0.294972i
$383$	2.99133	−	6.71863i	0.152850	−	0.343306i	−0.820849	−	0.571145i	$-0.806499\pi$
$383$	2.99133	−	6.71863i	0.152850	−	0.343306i	0.973699	+	0.227839i	$0.0731660\pi$
$384$	−4.18481	−	12.8795i	−0.213555	−	0.657255i
$385$	9.93515	−	18.7866i	0.506342	−	0.957453i
$386$	10.0985	−	31.0801i	0.514001	−	1.58193i
$387$	−3.50011	−	3.15151i	−0.177921	−	0.160200i
$388$	−0.586393	+	2.75876i	−0.0297696	+	0.140055i
$389$	13.4664	+	14.9559i	0.682772	+	0.758295i	0.980535	−	0.196345i	$-0.0629073\pi$
$389$	13.4664	+	14.9559i	0.682772	+	0.758295i	−0.297763	+	0.954640i	$0.596241\pi$
$390$	−2.64236	−	8.25749i	−0.133801	−	0.418134i
$391$	−2.18810	−	6.73429i	−0.110657	−	0.340568i
$392$	−8.89165	+	14.6631i	−0.449096	+	0.740597i
$393$		−	16.9291i		−	0.853962i
$394$	−23.0174	−	10.2480i	−1.15960	−	0.516287i
$395$	−0.810103	−	0.735989i	−0.0407607	−	0.0370316i
$396$	−1.40370	+	0.624969i	−0.0705387	+	0.0314059i
$397$	29.1631	+	3.06517i	1.46365	+	0.153836i	0.802607	−	0.596508i	$-0.203446\pi$
$397$	29.1631	+	3.06517i	1.46365	+	0.153836i	0.661047	+	0.750344i	$0.270112\pi$
$398$	1.60637	+	0.521943i	0.0805203	+	0.0261626i
$399$	11.9519	+	7.94573i	0.598345	+	0.397784i
$400$	21.2572	+	9.69242i	1.06286	+	0.484621i
$401$	0.579207	+	1.00322i	0.0289242	+	0.0500982i	0.880125	−	0.474742i	$-0.157459\pi$
$401$	0.579207	+	1.00322i	0.0289242	+	0.0500982i	−0.851201	+	0.524840i	$0.824125\pi$
$402$	−16.1519	+	14.5432i	−0.805584	+	0.725351i
$403$	−0.369836	−	0.830665i	−0.0184228	−	0.0413784i
$404$	−0.712825	+	6.78207i	−0.0354643	+	0.337421i
$405$	1.93149	+	1.12666i	0.0959763	+	0.0559842i
$406$	21.1639	+	33.3698i	1.05035	+	1.65612i
$407$			13.8946i			0.688728i
$408$	1.36652	−	3.06926i	0.0676529	−	0.151951i
$409$	−0.391931	−	0.0833074i	−0.0193797	−	0.00411929i	0.198212	−	0.980159i	$-0.436487\pi$
$409$	−0.391931	−	0.0833074i	−0.0193797	−	0.00411929i	−0.217591	+	0.976040i	$0.569820\pi$
$410$	−3.20477	+	29.2364i	−0.158272	+	1.44388i
$411$	−0.580105	+	0.123305i	−0.0286145	+	0.00608220i
$412$	−1.55834	+	0.506334i	−0.0767737	+	0.0249453i
$413$	8.32247	−	8.14534i	0.409522	−	0.400806i
$414$	−2.48594	+	7.65094i	−0.122177	+	0.376023i
$415$	34.3786	+	0.153330i	1.68758	+	0.00752669i
$416$	5.79510	+	1.23179i	0.284128	+	0.0603933i
$417$	−7.81276	+	0.821154i	−0.382593	+	0.0402121i
$418$	26.2943	−	15.1810i	1.28610	−	0.742529i
$419$	8.05669	−	5.85353i	0.393595	−	0.285964i	−0.373332	−	0.927698i	$-0.621785\pi$
$419$	8.05669	−	5.85353i	0.393595	−	0.285964i	0.766927	+	0.641734i	$0.221785\pi$
$420$	−0.942710	+	2.34840i	−0.0459995	+	0.114590i
$421$	−6.93643	−	5.03961i	−0.338061	−	0.245616i	0.405782	−	0.913970i	$-0.366999\pi$
$421$	−6.93643	−	5.03961i	−0.338061	−	0.245616i	−0.743843	+	0.668354i	$0.766999\pi$
$422$	−11.7595	−	1.23597i	−0.572442	−	0.0601661i
$423$	−7.43382	+	6.69345i	−0.361445	+	0.325446i
$424$	−15.3855	+	26.6485i	−0.747186	+	1.29416i
$425$	2.73309	+	6.28901i	0.132574	+	0.305062i
$426$	6.02374			0.291851
$427$	4.46123	−	11.2585i	0.215894	−	0.544835i
$428$	−3.44708	+	4.74450i	−0.166621	+	0.229334i
$429$	−0.934392	+	8.89014i	−0.0451129	+	0.429220i
$430$	−6.74112	+	14.9609i	−0.325086	+	0.721477i
$431$	−0.392053	−	3.73014i	−0.0188845	−	0.179674i	0.981014	−	0.193938i	$-0.0621262\pi$
$431$	−0.392053	−	3.73014i	−0.0188845	−	0.179674i	−0.999898	+	0.0142639i	$0.995460\pi$
$432$	−4.04652	+	2.33626i	−0.194688	+	0.112403i
$433$	12.6796	+	17.4520i	0.609345	+	0.838691i	0.996523	−	0.0833137i	$-0.0265503\pi$
$433$	12.6796	+	17.4520i	0.609345	+	0.838691i	−0.387179	+	0.922005i	$0.626550\pi$
$434$	−0.405489	+	1.45071i	−0.0194641	+	0.0696363i
$435$	−14.2708	−	15.9922i	−0.684235	−	0.766769i
$436$	4.17864	−	0.888197i	0.200121	−	0.0425369i
$437$	5.82309	−	27.3955i	0.278556	−	1.31050i
$438$	−0.249338	+	1.17304i	−0.0119138	+	0.0560501i
$439$	−32.9858	+	7.01135i	−1.57433	+	0.334633i	−0.910583	−	0.413327i	$-0.864367\pi$
$439$	−32.9858	+	7.01135i	−1.57433	+	0.334633i	−0.663744	+	0.747960i	$0.731033\pi$
$440$	−13.1016	−	14.6819i	−0.624593	−	0.699934i
$441$	6.60933	+	2.30582i	0.314730	+	0.109801i
$442$	3.12557	+	4.30197i	0.148668	+	0.204624i
$443$	25.1986	−	14.5484i	1.19722	−	0.691217i	0.237287	−	0.971440i	$-0.423742\pi$
$443$	25.1986	−	14.5484i	1.19722	−	0.691217i	0.959935	+	0.280223i	$0.0904084\pi$
$444$	−0.172941	−	1.64542i	−0.00820740	−	0.0780882i
$445$	6.23342	−	13.8341i	0.295492	−	0.655799i
$446$	0.132642	−	1.26201i	0.00628079	−	0.0597577i
$447$	1.99638	−	2.74778i	0.0944253	−	0.129965i
$448$	9.25799	+	11.6875i	0.437399	+	0.552182i
$449$	−2.14449			−0.101205			−0.0506023	−	0.998719i	$-0.516114\pi$
$449$	−2.14449			−0.101205			−0.0506023	+	0.998719i	$0.516114\pi$
$450$	1.68767	−	7.60561i	0.0795574	−	0.358532i
$451$	15.1623	−	26.2619i	0.713965	−	1.23662i
$452$	0.477293	−	0.429756i	0.0224500	−	0.0202140i
$453$	−7.94062	−	0.834592i	−0.373083	−	0.0392126i
$454$	−16.8430	−	12.2371i	−0.790479	−	0.574317i
$455$	9.08966	+	11.5807i	0.426130	+	0.542913i
$456$	10.7510	−	7.81107i	0.503463	−	0.365787i
$457$	25.9724	−	14.9952i	1.21494	−	0.701446i	0.251108	−	0.967959i	$-0.419205\pi$
$457$	25.9724	−	14.9952i	1.21494	−	0.701446i	0.963831	+	0.266513i	$0.0858716\pi$
$458$	8.19893	−	0.861742i	0.383111	−	0.0402666i
$459$	−1.34147	−	0.285139i	−0.0626147	−	0.0133092i
$460$	4.93821	+	0.0220247i	0.230245	+	0.00102691i
$461$	−6.43725	+	19.8118i	−0.299812	+	0.922728i	0.681750	+	0.731585i	$0.261219\pi$
$461$	−6.43725	+	19.8118i	−0.299812	+	0.922728i	−0.981562	+	0.191142i	$0.938781\pi$
$462$	10.5833	−	10.3580i	0.492379	−	0.481899i
$463$	−14.4056	+	4.68068i	−0.669487	+	0.217530i	−0.623987	−	0.781435i	$-0.714488\pi$
$463$	−14.4056	+	4.68068i	−0.669487	+	0.217530i	−0.0455001	+	0.998964i	$0.514488\pi$
$464$	43.8097	−	9.31204i	2.03381	−	0.432301i
$465$	0.0890285	−	0.812187i	0.00412860	−	0.0376643i
$466$	−38.7401	−	8.23445i	−1.79460	−	0.381454i
$467$	1.98164	−	4.45084i	0.0916995	−	0.205960i	−0.861873	−	0.507124i	$-0.830708\pi$
$467$	1.98164	−	4.45084i	0.0916995	−	0.205960i	0.953572	+	0.301164i	$0.0973751\pi$
$468$		−	1.06442i		−	0.0492028i
$469$	17.1077	−	32.7015i	0.789961	−	1.51001i
$470$	30.1045	+	17.5603i	1.38862	+	0.809998i
$471$	1.14079	−	10.8538i	0.0525646	−	0.500119i
$472$	−4.38566	−	9.85036i	−0.201866	−	0.453400i
$473$	12.5732	−	11.3209i	0.578115	−	0.520537i
$474$	−0.381334	−	0.660489i	−0.0175152	−	0.0303373i
$475$	−3.07562	+	26.9480i	−0.141119	+	1.23646i
$476$	0.0978940	−	1.54897i	0.00448697	−	0.0709969i
$477$	11.9460	+	3.88149i	0.546970	+	0.177721i
$478$	29.6457	+	3.11589i	1.35596	+	0.142517i
$479$	7.19919	−	3.20529i	0.328940	−	0.146453i	−0.235621	−	0.971845i	$-0.575712\pi$
$479$	7.19919	−	3.20529i	0.328940	−	0.146453i	0.564560	+	0.825392i	$0.309046\pi$
$480$	3.94033	+	3.57984i	0.179850	+	0.163396i
$481$	−8.79310	−	3.91494i	−0.400931	−	0.178506i
$482$			7.59912i			0.346130i
$483$	−0.568158	−	13.6484i	−0.0258521	−	0.621022i
$484$	−0.251681	−	0.774594i	−0.0114400	−	0.0352088i
$485$	4.49354	+	14.0425i	0.204041	+	0.637637i
$486$	1.04259	+	1.15791i	0.0472927	+	0.0525239i
$487$	2.91092	−	13.6948i	0.131906	−	0.620571i	−0.861676	−	0.507459i	$-0.830585\pi$
$487$	2.91092	−	13.6948i	0.131906	−	0.620571i	0.993582	−	0.113112i	$-0.0360818\pi$
$488$	−8.33295	−	7.50302i	−0.377215	−	0.339646i
$489$	6.18062	−	19.0220i	0.279497	−	0.860204i
$490$	0.633329	−	24.3802i	0.0286109	−	1.10139i
$491$	−7.89285	−	24.2917i	−0.356200	−	1.09627i	−0.955311	−	0.295604i	$-0.904479\pi$
$491$	−7.89285	−	24.2917i	−0.356200	−	1.09627i	0.599111	−	0.800666i	$-0.295521\pi$
$492$	−1.46868	+	3.29870i	−0.0662131	+	0.148717i
$493$	11.3847	+	6.57298i	0.512743	+	0.296032i
$494$	2.19854	+	20.9177i	0.0989168	+	0.941130i
$495$	−4.75030	+	6.47728i	−0.213510	+	0.291132i
$496$	1.38125	+	1.00354i	0.0620202	+	0.0450603i
$497$	−9.58804	+	3.56267i	−0.430082	+	0.159807i
$498$	22.7832	+	7.40271i	1.02094	+	0.331723i
$499$	−19.0120	−	32.9298i	−0.851095	−	1.47414i	−0.880221	−	0.474564i	$-0.842606\pi$
$499$	−19.0120	−	32.9298i	−0.851095	−	1.47414i	0.0291261	−	0.999576i	$-0.490728\pi$
$500$	−4.76236	+	0.436206i	−0.212979	+	0.0195077i
$501$	7.93069	−	13.7364i	0.354317	−	0.613695i
$502$	0.342235	+	1.61009i	0.0152747	+	0.0718618i
$503$	−0.673028	+	0.926344i	−0.0300088	+	0.0413036i	−0.823758	−	0.566942i	$-0.808126\pi$
$503$	−0.673028	+	0.926344i	−0.0300088	+	0.0413036i	0.793749	+	0.608246i	$0.208126\pi$
$504$	4.13287	−	4.99289i	0.184093	−	0.222401i
$505$	14.3545	+	32.6316i	0.638767	+	1.45209i
$506$	−26.3999	−	11.7540i	−1.17362	−	0.522529i
$507$	5.89552	+	3.40378i	0.261829	+	0.151167i
$508$	8.35354	−	0.877992i	0.370628	−	0.0389546i
$509$	−17.8823	+	19.8603i	−0.792619	+	0.880293i	−0.995088	−	0.0989960i	$-0.968437\pi$
$509$	−17.8823	+	19.8603i	−0.792619	+	0.880293i	0.202469	+	0.979289i	$0.435104\pi$
$510$	0.478259	+	4.75420i	0.0211777	+	0.210520i
$511$	−0.296908	−	2.01461i	−0.0131344	−	0.0891211i
$512$	11.1928	−	3.63675i	0.494656	−	0.160723i
$513$	−4.03126	−	3.62976i	−0.177984	−	0.160258i
$514$	28.5208	+	31.6756i	1.25800	+	1.39715i
$515$	−5.75985	+	6.33986i	−0.253809	+	0.279368i
$516$	−1.34803	+	1.49714i	−0.0593438	+	0.0659080i
$517$	−21.1213	−	29.0710i	−0.928915	−	1.27854i
$518$	7.08577	+	14.2844i	0.311331	+	0.627619i
$519$	−13.9057	+	10.1031i	−0.610392	+	0.443476i
$520$	12.9829	−	4.15448i	0.569338	−	0.182186i
$521$	−25.8404	+	11.5049i	−1.13209	+	0.504037i	−0.885294	−	0.465031i	$-0.846043\pi$
$521$	−25.8404	+	11.5049i	−1.13209	+	0.504037i	−0.246792	+	0.969068i	$0.579376\pi$
$522$	−6.07476	−	13.6441i	−0.265885	−	0.597188i
$523$	1.54241	+	7.25647i	0.0674449	+	0.317303i	0.998918	−	0.0465069i	$-0.0148090\pi$
$523$	1.54241	+	7.25647i	0.0674449	+	0.317303i	−0.931473	+	0.363810i	$0.881476\pi$
$524$	−7.24129			−0.316337
$525$	1.81197	+	13.1041i	0.0790808	+	0.571909i
$526$	20.5166			0.894568
$527$	0.104189	+	0.490171i	0.00453854	+	0.0213522i
$528$	−6.82697	−	15.3336i	−0.297106	−	0.667311i
$529$	−3.34104	+	1.48753i	−0.145263	+	0.0646751i
$530$	0.195182	−	43.7621i	0.00847815	−	1.90091i
$531$	−3.56086	+	2.58711i	−0.154528	+	0.112271i
$532$	3.39872	−	5.11234i	0.147353	−	0.221648i
$533$	12.3476	+	16.9949i	0.534832	+	0.736133i
$534$	7.07482	−	7.85738i	0.306157	−	0.340022i
$535$	−3.34053	+	30.4749i	−0.144424	+	1.31754i
$536$	−22.8657	−	25.3950i	−0.987649	−	1.09690i
$537$	4.23098	+	3.80959i	0.182580	+	0.164396i
$538$	19.2943	−	6.26911i	0.831838	−	0.270281i
$539$	−10.7194	+	22.7463i	−0.461716	+	0.979753i
$540$	0.481919	−	0.826177i	0.0207385	−	0.0355530i
$541$	−21.2219	+	23.5693i	−0.912399	+	1.01332i	0.0874534	+	0.996169i	$0.472127\pi$
$541$	−21.2219	+	23.5693i	−0.912399	+	1.01332i	−0.999853	+	0.0171537i	$0.994540\pi$
$542$	14.0256	−	1.47415i	0.602451	−	0.0633202i
$543$	8.78241	+	5.07053i	0.376889	+	0.217597i
$544$	−2.98287	−	1.32806i	−0.127889	−	0.0569400i
$545$	16.6626	−	14.8691i	0.713749	−	0.636921i
$546$	3.57308	+	9.61606i	0.152914	+	0.411529i
$547$	5.17410	−	7.12154i	0.221229	−	0.304495i	−0.683948	−	0.729531i	$-0.739738\pi$
$547$	5.17410	−	7.12154i	0.221229	−	0.304495i	0.905177	+	0.425036i	$0.139738\pi$
$548$	0.0527428	+	0.248135i	0.00225306	+	0.0105998i
$549$	−2.28860	+	3.96397i	−0.0976751	+	0.169178i
$550$	26.5377	+	8.88510i	1.13157	+	0.378862i
$551$	25.9987	+	45.0311i	1.10758	+	1.91839i
$552$	−12.0293	−	3.90854i	−0.511999	−	0.166359i
$553$	0.997610	+	0.825772i	0.0424227	+	0.0351154i
$554$	−6.19176	−	4.49858i	−0.263063	−	0.191126i
$555$	−5.05250	−	7.01980i	−0.214467	−	0.297974i
$556$	0.351242	+	3.34184i	0.0148960	+	0.141726i
$557$	28.4985	+	16.4536i	1.20752	+	0.697162i	0.962217	−	0.272284i	$-0.0877790\pi$
$557$	28.4985	+	16.4536i	1.20752	+	0.697162i	0.245304	+	0.969446i	$0.421112\pi$
$558$	0.231568	−	0.520111i	0.00980307	−	0.0220181i
$559$	3.62177	+	11.1467i	0.153185	+	0.471454i
$560$	−25.6533	−	10.2979i	−1.08405	−	0.435165i
$561$	1.52238	−	4.68541i	0.0642751	−	0.197818i
$562$	−13.3580	−	12.0276i	−0.563472	−	0.507352i
$563$	4.00002	−	18.8186i	0.168581	−	0.793110i	−0.809867	−	0.586614i	$-0.800461\pi$
$563$	4.00002	−	18.8186i	0.168581	−	0.793110i	0.978447	−	0.206496i	$-0.0662061\pi$
$564$	2.86307	+	3.17976i	0.120557	+	0.133892i
$565$	1.05175	−	3.18851i	0.0442476	−	0.134141i
$566$	1.70971	+	5.26195i	0.0718645	+	0.221176i
$567$	−2.34433	−	1.22643i	−0.0984525	−	0.0515053i
$568$			9.47087i			0.397389i
$569$	−11.1034	−	4.94354i	−0.465478	−	0.207244i	0.160577	−	0.987023i	$-0.448665\pi$
$569$	−11.1034	−	4.94354i	−0.465478	−	0.207244i	−0.626055	+	0.779779i	$0.715331\pi$
$570$	−7.76410	+	17.2312i	−0.325202	+	0.721736i
$571$	−30.5925	+	13.6207i	−1.28026	+	0.570007i	−0.930314	−	0.366765i	$-0.880465\pi$
$571$	−30.5925	+	13.6207i	−1.28026	+	0.570007i	−0.349942	+	0.936771i	$0.613799\pi$
$572$	3.80269	+	0.399678i	0.158998	+	0.0167114i
$573$	−7.03798	−	2.28678i	−0.294016	−	0.0955315i
$574$	2.19497	−	34.7309i	0.0916164	−	1.44964i
$575$	22.4710	−	12.7077i	0.937104	−	0.529949i
$576$	−2.81772	−	4.88044i	−0.117405	−	0.203352i
$577$	−8.38973	+	7.55414i	−0.349269	+	0.314483i	−0.825027	−	0.565093i	$-0.808840\pi$
$577$	−8.38973	+	7.55414i	−0.349269	+	0.314483i	0.475758	+	0.879576i	$0.342174\pi$
$578$	9.58168	+	21.5208i	0.398545	+	0.895148i
$579$	2.19234	−	20.8588i	0.0911107	−	0.866861i
$580$	−6.84055	+	6.10423i	−0.284038	+	0.253465i
$581$	−40.6425	+	1.69188i	−1.68613	+	0.0701909i
$582$			10.2738i			0.425861i
$583$	−18.3524	+	41.2202i	−0.760080	+	1.70717i
$584$	−1.84432	−	0.392023i	−0.0763187	−	0.0162220i
$585$	−2.76066	−	4.83124i	−0.114139	−	0.199747i
$586$	−17.2240	+	3.66108i	−0.711519	+	0.151238i
$587$	−30.0909	+	9.77714i	−1.24199	+	0.403546i	−0.855043	−	0.518558i	$-0.826469\pi$
$587$	−30.0909	+	9.77714i	−1.24199	+	0.403546i	−0.386943	+	0.922103i	$0.626469\pi$
$588$	0.986294	−	2.82708i	0.0406741	−	0.116587i
$589$	−0.612511	+	1.88512i	−0.0252381	+	0.0776748i
$590$	12.3659	+	9.06891i	0.509097	+	0.373361i
$591$	−15.8172	−	3.36204i	−0.650632	−	0.138296i
$592$	17.9741	−	1.88915i	0.738730	−	0.0776437i
$593$	3.45638	−	1.99554i	0.141936	−	0.0819470i	−0.427350	−	0.904086i	$-0.640553\pi$
$593$	3.45638	−	1.99554i	0.141936	−	0.0819470i	0.569287	+	0.822139i	$0.307220\pi$
$594$	−4.52817	+	3.28991i	−0.185793	+	0.134986i
$595$	−3.57306	−	7.28445i	−0.146481	−	0.298633i
$596$	−1.17534	−	0.853933i	−0.0481437	−	0.0349785i
$597$	1.07809	+	0.113311i	0.0441231	+	0.00463753i
$598$	14.8769	−	13.3952i	0.608362	−	0.547772i
$599$	1.91059	−	3.30925i	0.0780647	−	0.135212i	−0.824350	−	0.566080i	$-0.808459\pi$
$599$	1.91059	−	3.30925i	0.0780647	−	0.135212i	0.902415	+	0.430868i	$0.141793\pi$
$600$	11.9580	+	2.65345i	0.488183	+	0.108327i
$601$	10.8618			0.443064			0.221532	−	0.975153i	$-0.428894\pi$
$601$	10.8618			0.443064			0.221532	+	0.975153i	$0.428894\pi$
$602$	7.15260	−	18.0505i	0.291518	−	0.735681i
$603$	−8.19913	+	11.2851i	−0.333894	+	0.459566i
$604$	−0.356990	+	3.39653i	−0.0145257	+	0.138203i
$605$	−3.15132	−	2.86302i	−0.128119	−	0.116398i
$606$	2.59658	+	24.7048i	0.105479	+	1.00357i
$607$	−19.4058	+	11.2039i	−0.787655	+	0.454753i	−0.839136	−	0.543921i	$-0.816939\pi$
$607$	−19.4058	+	11.2039i	−0.787655	+	0.454753i	0.0514812	+	0.998674i	$0.483606\pi$
$608$	−7.59121	−	10.4484i	−0.307864	−	0.423739i
$609$	17.7389	+	18.1247i	0.718817	+	0.734448i
$610$	15.5838	+	3.38516i	0.630971	+	0.137061i
$611$	24.3486	−	5.17546i	0.985039	−	0.209377i
$612$	−0.121966	+	0.573804i	−0.00493018	+	0.0231947i
$613$	2.17291	−	10.2227i	0.0877630	−	0.412893i	−0.912232	−	0.409674i	$-0.865642\pi$
$613$	2.17291	−	10.2227i	0.0877630	−	0.412893i	0.999995	−	0.00321811i	$-0.00102436\pi$
$614$	33.4814	−	7.11669i	1.35120	−	0.287206i
$615$	1.88936	+	18.7815i	0.0761864	+	0.757342i
$616$	16.2855	+	16.6396i	0.656161	+	0.670430i
$617$	−1.20863	−	1.66354i	−0.0486577	−	0.0669715i	0.783995	−	0.620767i	$-0.213179\pi$
$617$	−1.20863	−	1.66354i	−0.0486577	−	0.0669715i	−0.832653	+	0.553796i	$0.813179\pi$
$618$	−5.16899	+	2.98432i	−0.207927	+	0.120047i
$619$	4.17018	+	39.6766i	0.167614	+	1.59474i	0.678178	+	0.734898i	$0.262770\pi$
$619$	4.17018	+	39.6766i	0.167614	+	1.59474i	−0.510564	+	0.859840i	$0.670563\pi$
$620$	−0.347406	−	0.0380812i	−0.0139522	−	0.00152938i
$621$	−0.539687	+	5.13478i	−0.0216569	+	0.206052i
$622$	26.2716	−	36.1598i	1.05340	−	1.44987i
$623$	−6.61391	+	16.6910i	−0.264981	+	0.668710i
$624$	11.6274			0.465468
$625$	−20.4843	+	14.3315i	−0.819374	+	0.573260i
$626$	−20.0036	+	34.6473i	−0.799505	+	1.38478i
$627$	14.4812	−	13.0389i	0.578323	−	0.520724i
$628$	−4.64264	−	0.487961i	−0.185262	−	0.0194718i
$629$	4.29158	+	3.11801i	0.171116	+	0.124323i
$630$	−1.58037	+	9.08149i	−0.0629633	+	0.361815i
$631$	38.4019	−	27.9006i	1.52876	−	1.11071i	0.571832	−	0.820371i	$-0.306233\pi$
$631$	38.4019	−	27.9006i	1.52876	−	1.11071i	0.956925	−	0.290336i	$-0.0937672\pi$
$632$	1.03846	−	0.599555i	0.0413077	−	0.0238490i
$633$	−7.54721	+	0.793244i	−0.299975	+	0.0315286i
$634$	24.1324	+	5.12949i	0.958419	+	0.203718i
$635$	35.6384	−	25.6507i	1.41427	−	1.01792i
$636$	1.66028	−	5.10981i	0.0658343	−	0.202617i
$637$	−11.3746	−	13.1927i	−0.450678	−	0.522715i
$638$	51.0253	−	16.5791i	2.02011	−	0.656374i
$639$	3.78154	−	0.803792i	0.149596	−	0.0317975i
$640$	−20.3625	+	22.4130i	−0.804898	+	0.885952i
$641$	1.32315	+	0.281244i	0.0522612	+	0.0111085i	0.233968	−	0.972244i	$-0.424829\pi$
$641$	1.32315	+	0.281244i	0.0522612	+	0.0111085i	−0.181707	+	0.983353i	$0.558162\pi$
$642$	−8.68891	+	19.5156i	−0.342924	+	0.770220i
$643$			26.2494i			1.03518i	0.855630	+	0.517588i	$0.173170\pi$
$643$			26.2494i			1.03518i	−0.855630	+	0.517588i	$0.826830\pi$
$644$	−5.83797	+	0.243025i	−0.230048	+	0.00957651i
$645$	−2.23556	+	10.2916i	−0.0880250	+	0.405230i
$646$	1.21166	−	11.5282i	0.0476721	−	0.453570i
$647$	−18.3992	−	41.3253i	−0.723347	−	1.62466i	−0.779624	−	0.626248i	$-0.784590\pi$
$647$	−18.3992	−	41.3253i	−0.723347	−	1.62466i	0.0562766	−	0.998415i	$-0.482077\pi$
$648$	−1.82053	+	1.63922i	−0.0715173	+	0.0643945i
$649$	−7.90552	−	13.6928i	−0.310319	−	0.537488i
$650$	−13.1002	+	14.2908i	−0.513831	+	0.560531i
$651$	−0.0609764	+	0.964824i	−0.00238985	+	0.0378144i
$652$	−8.13650	−	2.64371i	−0.318650	−	0.103536i
$653$	−18.8290	−	1.97901i	−0.736836	−	0.0774446i	−0.271326	−	0.962487i	$-0.587462\pi$
$653$	−18.8290	−	1.97901i	−0.736836	−	0.0774446i	−0.465510	+	0.885043i	$0.654129\pi$
$654$	14.2161	−	6.32941i	0.555893	−	0.247500i
$655$	−32.8672	+	18.7809i	−1.28423	+	0.733832i
$656$	−36.0340	−	16.0434i	−1.40689	−	0.626389i
$657$			0.769676i			0.0300279i
$658$	−36.5391	−	19.1154i	−1.42444	−	0.745196i
$659$	−6.91136	−	21.2710i	−0.269229	−	0.828600i	−0.990689	−	0.136145i	$-0.956529\pi$
$659$	−6.91136	−	21.2710i	−0.269229	−	0.828600i	0.721460	−	0.692456i	$-0.243471\pi$
$660$	2.77060	+	2.03190i	0.107845	+	0.0790916i
$661$	−11.1125	−	12.3417i	−0.432228	−	0.480038i	0.487203	−	0.873289i	$-0.338017\pi$
$661$	−11.1125	−	12.3417i	−0.432228	−	0.480038i	−0.919431	+	0.393251i	$0.871350\pi$
$662$	−2.57554	+	12.1170i	−0.100101	+	0.470940i
$663$	2.53619	+	2.28360i	0.0984976	+	0.0886876i
$664$	−11.6390	+	35.8211i	−0.451680	+	1.39013i
$665$	2.16700	−	32.0191i	0.0840328	−	1.24165i
$666$	−1.86236	−	5.73177i	−0.0721652	−	0.222102i
$667$	20.1296	−	45.2118i	0.779422	−	1.75061i
$668$	−5.87561	−	3.39229i	−0.227334	−	0.131251i
$669$	−0.0851296	−	0.809954i	−0.00329130	−	0.0313146i
$670$	46.1538	+	15.2242i	1.78308	+	0.588162i
$671$	−13.3021	−	9.66456i	−0.513523	−	0.373096i
$672$	−4.85236	−	4.01654i	−0.187184	−	0.154941i
$673$	−4.72554	−	1.53542i	−0.182156	−	0.0591861i	0.216519	−	0.976278i	$-0.430530\pi$
$673$	−4.72554	−	1.53542i	−0.182156	−	0.0591861i	−0.398675	+	0.917092i	$0.630530\pi$
$674$	18.5169	+	32.0722i	0.713245	+	1.23538i
$675$	0.0445997	−	4.99980i	0.00171664	−	0.192442i
$676$	1.45594	−	2.52176i	0.0559977	−	0.0969908i
$677$	0.995781	+	4.68478i	0.0382710	+	0.180051i	0.993131	−	0.117004i	$-0.0373290\pi$
$677$	0.995781	+	4.68478i	0.0382710	+	0.180051i	−0.954860	+	0.297055i	$0.903996\pi$
$678$	1.37515	−	1.89273i	0.0528123	−	0.0726899i
$679$	−6.07629	−	16.3528i	−0.233187	−	0.627565i
$680$	−7.47484	+	0.751946i	−0.286647	+	0.0288358i
$681$	−12.2065	−	5.43466i	−0.467752	−	0.208257i
$682$	1.77117	+	1.02259i	0.0678216	+	0.0391568i
$683$	44.3095	−	4.65712i	1.69546	−	0.178200i	0.793071	−	0.609129i	$-0.208481\pi$
$683$	44.3095	−	4.65712i	1.69546	−	0.178200i	0.902385	+	0.430930i	$0.141814\pi$
$684$	−1.55260	+	1.72434i	−0.0593651	+	0.0659316i
$685$	0.882953	+	0.989457i	0.0337359	+	0.0378052i
$686$	0.579780	+	28.8510i	0.0221361	+	1.10154i
$687$	5.03209	−	1.63502i	0.191986	−	0.0623800i
$688$	−16.3543	−	14.7255i	−0.623503	−	0.561405i
$689$	−20.9150	−	23.2285i	−0.796799	−	0.884935i
$690$	17.6119	−	3.66150i	0.670472	−	0.139391i
$691$	−23.6642	+	26.2818i	−0.900229	+	0.999806i	0.0997593	+	0.995012i	$0.468193\pi$
$691$	−23.6642	+	26.2818i	−0.900229	+	0.999806i	−0.999989	+	0.00479421i	$0.998474\pi$
$692$	4.32150	+	5.94804i	0.164279	+	0.226111i
$693$	5.26175	−	7.91470i	0.199877	−	0.300655i
$694$	0.913452	−	0.663662i	0.0346742	−	0.0251923i
$695$	10.2616	+	14.2572i	0.389245	+	0.540806i
$696$	21.4521	−	9.55109i	0.813140	−	0.362033i
$697$	−4.70893	−	10.5764i	−0.178364	−	0.400611i
$698$	−4.00896	−	18.8607i	−0.151741	−	0.713888i
$699$	−25.4188			−0.961426
$700$	5.60516	−	0.775055i	0.211855	−	0.0292943i
$701$	−38.6338			−1.45918			−0.729589	−	0.683885i	$-0.760289\pi$
$701$	−38.6338			−1.45918			−0.729589	+	0.683885i	$0.760289\pi$
$702$	−0.806141	−	3.79260i	−0.0304258	−	0.143142i
$703$	8.53417	+	19.1681i	0.321872	+	0.722937i
$704$	18.4936	−	8.23389i	0.697004	−	0.310326i
$705$	21.2420	+	7.00685i	0.800021	+	0.263893i
$706$	−20.6319	+	14.9899i	−0.776492	+	0.564154i
$707$	−18.7444	−	37.7872i	−0.704955	−	1.42113i
$708$	1.10662	+	1.52313i	0.0415892	+	0.0572426i
$709$	−18.9267	+	21.0203i	−0.710808	+	0.789432i	−0.985057	−	0.172226i	$-0.944904\pi$
$709$	−18.9267	+	21.0203i	−0.710808	+	0.789432i	0.274249	+	0.961659i	$0.411571\pi$
$710$	−6.68265	−	11.6948i	−0.250795	−	0.438900i
$711$	−0.327525	−	0.363754i	−0.0122832	−	0.0136418i
$712$	12.3538	+	11.1234i	0.462980	+	0.416869i
$713$	1.79423	−	0.582981i	0.0671945	−	0.0218328i
$714$	−0.824314	−	5.59322i	−0.0308492	−	0.209321i
$715$	18.2964	−	8.04852i	0.684248	−	0.300998i
$716$	1.62952	−	1.80977i	0.0608980	−	0.0676341i
$717$	19.0266	−	1.99977i	0.710560	−	0.0746829i
$718$	−17.7014	−	10.2199i	−0.660609	−	0.381403i
$719$	27.4704	+	12.2306i	1.02447	+	0.456124i	0.849018	−	0.528364i	$-0.177194\pi$
$719$	27.4704	+	12.2306i	1.02447	+	0.456124i	0.175453	+	0.984488i	$0.443861\pi$
$720$	9.02491	+	5.26434i	0.336338	+	0.196190i
$721$	6.46249	−	7.80730i	0.240676	−	0.290759i
$722$	9.54871	−	13.1427i	0.355366	−	0.489119i
$723$	1.01401	+	4.77053i	0.0377113	+	0.177418i
$724$	2.16888	−	3.75660i	0.0806057	−	0.139613i
$725$	−15.2164	+	45.4478i	−0.565123	+	1.68789i
$726$	−1.48340	−	2.56932i	−0.0550540	−	0.0953564i
$727$	−43.7025	−	14.1998i	−1.62083	−	0.526641i	−0.648696	−	0.761048i	$-0.724685\pi$
$727$	−43.7025	−	14.1998i	−1.62083	−	0.526641i	−0.972139	+	0.234407i	$0.924685\pi$
$728$	−15.1189	+	5.61780i	−0.560345	+	0.208209i
$729$	0.809017	+	0.587785i	0.0299636	+	0.0217698i
$730$	2.55402	−	0.817277i	0.0945287	−	0.0302488i
$731$	−0.675181	−	6.42392i	−0.0249725	−	0.237597i
$732$	1.69556	+	0.978930i	0.0626696	+	0.0361823i
$733$	−8.26459	+	18.5626i	−0.305259	+	0.685624i	−0.999415	−	0.0342011i	$-0.989111\pi$
$733$	−8.26459	+	18.5626i	−0.305259	+	0.685624i	0.694155	+	0.719825i	$0.255778\pi$
$734$	3.13523	+	9.64924i	0.115723	+	0.356160i
$735$	−2.85565	−	15.3898i	−0.105332	−	0.567661i
$736$	−3.79853	+	11.6907i	−0.140016	+	0.430924i
$737$	−37.2380	−	33.5292i	−1.37168	−	1.23507i
$738$	−2.73471	+	12.8658i	−0.100666	+	0.473597i
$739$	−15.6129	−	17.3399i	−0.574330	−	0.637858i	0.384064	−	0.923306i	$-0.374524\pi$
$739$	−15.6129	−	17.3399i	−0.574330	−	0.637858i	−0.958394	+	0.285448i	$0.907857\pi$
$740$	−3.00266	+	2.16116i	−0.110380	+	0.0794460i
$741$	4.17138	+	12.8382i	0.153240	+	0.471623i
$742$	2.15367	+	51.7358i	0.0790637	+	1.89928i
$743$			39.6056i			1.45299i	0.687173	+	0.726494i	$0.258851\pi$
$743$			39.6056i			1.45299i	−0.687173	+	0.726494i	$0.741149\pi$
$744$	0.817749	+	0.364085i	0.0299801	+	0.0133480i
$745$	−7.54944	−	0.827538i	−0.276590	−	0.0303186i
$746$	−37.3494	+	16.6290i	−1.36746	+	0.608831i
$747$	15.2905	+	1.60710i	0.559450	+	0.0588006i
$748$	−2.00415	−	0.651187i	−0.0732788	−	0.0238097i
$749$	2.28796	−	36.2021i	0.0836001	−	1.32280i
$750$	−16.6383	+	5.16102i	−0.607543	+	0.188454i
$751$	11.4779	+	19.8803i	0.418835	+	0.725443i	0.995823	−	0.0913097i	$-0.0291053\pi$
$751$	11.4779	+	19.8803i	0.418835	+	0.725443i	−0.576988	+	0.816753i	$0.695772\pi$
$752$	−34.7347	+	31.2753i	−1.26664	+	1.14049i
$753$	0.429692	+	0.965104i	0.0156589	+	0.0351704i
$754$	−3.88491	+	36.9625i	−0.141480	+	1.34609i
$755$	7.18888	+	16.3423i	0.261630	+	0.594756i
$756$	−0.524596	+	1.00277i	−0.0190794	+	0.0364703i
$757$		−	1.57450i		−	0.0572262i	−0.999591	−	0.0286131i	$-0.990891\pi$
$757$		−	1.57450i		−	0.0572262i	0.999591	−	0.0286131i	$-0.00910907\pi$
$758$	−5.35948	+	12.0376i	−0.194665	+	0.437225i
$759$	−18.1416	−	3.85611i	−0.658498	−	0.139968i
$760$	−27.0919	−	12.2072i	−0.982727	−	0.442800i
$761$	−12.0948	+	2.57083i	−0.438437	+	0.0931926i	−0.421841	−	0.906670i	$-0.638616\pi$
$761$	−12.0948	+	2.57083i	−0.438437	+	0.0931926i	−0.0165953	+	0.999862i	$0.505283\pi$
$762$	29.0993	−	9.45492i	1.05416	−	0.342516i
$763$	−18.8844	+	18.4825i	−0.683663	+	0.669112i
$764$	−0.978150	+	3.01044i	−0.0353882	+	0.108914i
$765$	0.934627	+	2.92075i	0.0337915	+	0.105600i
$766$	−11.2087	−	2.38249i	−0.404988	−	0.0860828i
$767$	10.8929	−	1.14489i	0.393318	−	0.0413394i
$768$	−8.51278	+	4.91486i	−0.307178	+	0.177350i
$769$	34.7130	−	25.2205i	1.25178	−	0.909473i	0.253459	−	0.967346i	$-0.418432\pi$
$769$	34.7130	−	25.2205i	1.25178	−	0.909473i	0.998324	+	0.0578729i	$0.0184318\pi$
$770$	−31.8506	−	9.05594i	−1.14782	−	0.326353i
$771$	22.1313	+	16.0794i	0.797041	+	0.579084i
$772$	−8.92216	−	0.937757i	−0.321116	−	0.0337506i
$773$	−25.3044	+	22.7842i	−0.910135	+	0.819489i	−0.984071	−	0.177774i	$-0.943111\pi$
$773$	−25.3044	+	22.7842i	−0.910135	+	0.819489i	0.0739363	+	0.997263i	$0.476444\pi$
$774$	−3.66927	+	6.35536i	−0.131889	+	0.228439i
$775$	−1.67560	+	0.728184i	−0.0601892	+	0.0261572i
$776$	−16.1530			−0.579859
$777$	6.35433	+	8.02184i	0.227960	+	0.287782i
$778$	18.4314	−	25.3687i	0.660799	−	0.909512i
$779$	4.78666	−	45.5420i	0.171500	−	1.63171i
$780$	−2.06652	+	1.18085i	−0.0739935	+	0.0422813i
$781$	1.45165	+	13.8116i	0.0519443	+	0.494217i
$782$	−9.55470	+	5.51641i	−0.341676	+	0.197266i
$783$	−5.63421	−	7.75483i	−0.201350	−	0.277135i
$784$	30.8822	+	10.7740i	1.10294	+	0.384785i
$785$	−22.3379	+	9.82632i	−0.797273	+	0.350716i
$786$	−25.8012	+	5.48422i	−0.920299	+	0.195616i
$787$	2.64776	−	12.4567i	0.0943826	−	0.444035i	−0.905427	−	0.424503i	$-0.860449\pi$
$787$	2.64776	−	12.4567i	0.0943826	−	0.444035i	0.999809	−	0.0195323i	$-0.00621772\pi$
$788$	−1.43809	+	6.76567i	−0.0512297	+	0.241017i
$789$	12.8798	−	2.73769i	0.458533	−	0.0974642i
$790$	−0.859266	+	1.47308i	−0.0305713	+	0.0524099i
$791$	−1.06941	+	3.82599i	−0.0380237	+	0.136037i
$792$	−5.17258	−	7.11945i	−0.183800	−	0.252979i
$793$	9.86419	−	5.69509i	0.350288	−	0.202239i
$794$	−4.77590	−	45.4397i	−0.169490	−	1.61259i
$795$	−5.71698	−	27.4988i	−0.202760	−	0.975281i
$796$	0.0484680	−	0.461143i	0.00171790	−	0.0163448i
$797$	−1.40593	+	1.93510i	−0.0498006	+	0.0685447i	−0.833191	−	0.552985i	$-0.813489\pi$
$797$	−1.40593	+	1.93510i	−0.0498006	+	0.0685447i	0.783390	+	0.621530i	$0.213489\pi$
$798$	8.23802	−	20.7896i	0.291623	−	0.735945i
$799$	−13.7188			−0.485337
$800$	2.57876	−	11.6214i	0.0911730	−	0.410879i
$801$	3.39292	−	5.87671i	0.119883	−	0.207643i
$802$	1.34134	−	1.20775i	0.0473643	−	0.0426470i
$803$	−2.74970	−	0.289005i	−0.0970349	−	0.0101988i
$804$	4.82712	+	3.50711i	0.170239	+	0.123686i
$805$	−25.8674	+	16.2444i	−0.911707	+	0.572538i
$806$	−1.14618	+	0.832752i	−0.0403726	+	0.0293324i
$807$	11.2760	−	6.51017i	0.396932	−	0.229169i
$808$	−38.8424	+	4.08250i	−1.36647	+	0.143622i
$809$	40.3906	+	8.58529i	1.42006	+	0.301843i	0.853033	−	0.521857i	$-0.174761\pi$
$809$	40.3906	+	8.58529i	1.42006	+	0.301843i	0.567026	+	0.823700i	$0.308094\pi$
$810$	1.09140	−	3.30871i	0.0383480	−	0.116256i
$811$	7.72512	−	23.7755i	0.271266	−	0.834870i	−0.718918	−	0.695095i	$-0.755362\pi$
$811$	7.72512	−	23.7755i	0.271266	−	0.834870i	0.990183	−	0.139775i	$-0.0446378\pi$
$812$	7.75267	−	7.58767i	0.272065	−	0.266275i
$813$	8.60820	−	2.79697i	0.301903	−	0.0980942i
$814$	21.1763	−	4.50116i	0.742229	−	0.157766i
$815$	−43.7871	+	9.10331i	−1.53380	+	0.318875i
$816$	−6.26807	−	1.33232i	−0.219426	−	0.0466405i
$817$	10.3917	−	23.3402i	0.363561	−	0.816571i
$818$			0.624318i			0.0218288i
$819$	3.52623	+	5.55993i	0.123216	+	0.194280i
$820$	8.03362	−	0.808159i	0.280546	−	0.0282221i
$821$	1.67265	−	15.9142i	0.0583760	−	0.555410i	−0.925775	−	0.378076i	$-0.876586\pi$
$821$	1.67265	−	15.9142i	0.0583760	−	0.555410i	0.984151	−	0.177335i	$-0.0567475\pi$
$822$	0.375852	+	0.844178i	0.0131093	+	0.0294441i
$823$	31.1105	−	28.0120i	1.08444	−	0.976437i	0.0846426	−	0.996411i	$-0.473025\pi$
$823$	31.1105	−	28.0120i	1.08444	−	0.976437i	0.999800	+	0.0199744i	$0.00635848\pi$
$824$	−4.69211	−	8.12698i	−0.163458	−	0.283117i
$825$	17.8453	+	2.03671i	0.621293	+	0.0709091i
$826$	−15.1102	−	10.0453i	−0.525750	−	0.349522i
$827$	−17.3401	−	5.63414i	−0.602974	−	0.195918i	−0.00840757	−	0.999965i	$-0.502676\pi$
$827$	−17.3401	−	5.63414i	−0.602974	−	0.195918i	−0.594566	+	0.804047i	$0.702676\pi$
$828$	2.19636	+	0.230847i	0.0763288	+	0.00802248i
$829$	−14.0555	+	6.25793i	−0.488169	+	0.217347i	−0.636034	−	0.771661i	$-0.719426\pi$
$829$	−14.0555	+	6.25793i	−0.488169	+	0.217347i	0.147866	+	0.989007i	$0.452760\pi$
$830$	−10.9033	−	52.4451i	−0.378459	−	1.82040i
$831$	−4.48730	−	1.99788i	−0.155663	−	0.0693056i
$832$			14.0236i			0.486180i
$833$	4.62011	+	8.41526i	0.160077	+	0.291571i
$834$	3.78246	+	11.6412i	0.130976	+	0.403102i
$835$	−35.4668	−	0.158184i	−1.22738	−	0.00547418i
$836$	−5.57729	−	6.19420i	−0.192894	−	0.214231i
$837$	0.0759703	−	0.357412i	0.00262592	−	0.0123540i
$838$	−11.5312	−	10.3827i	−0.398338	−	0.358665i
$839$	7.66420	−	23.5880i	0.264598	−	0.814347i	−0.727188	−	0.686438i	$-0.759173\pi$
$839$	7.66420	−	23.5880i	0.264598	−	0.814347i	0.991786	−	0.127909i	$-0.0408267\pi$
$840$	−14.2784	−	2.48474i	−0.492653	−	0.0857318i
$841$	19.4315	+	59.8041i	0.670053	+	2.06221i
$842$	−5.43367	+	12.2042i	−0.187257	+	0.420585i
$843$	−9.99071	−	5.76814i	−0.344098	−	0.198665i
$844$	0.339304	+	3.22826i	0.0116793	+	0.111121i
$845$	0.0678911	−	15.2220i	0.00233552	−	0.523653i
$846$	12.6095	+	9.16133i	0.433523	+	0.314973i
$847$	3.88073	+	3.21227i	0.133343	+	0.110375i
$848$	55.8180	+	18.1364i	1.91680	+	0.622805i
$849$	1.77545	+	3.07517i	0.0609334	+	0.105540i
$850$	8.69952	−	6.20277i	0.298391	−	0.212753i
$851$	9.98524	−	17.2949i	0.342290	−	0.592863i
$852$	−0.343815	−	1.61752i	−0.0117789	−	0.0554155i
$853$	10.9995	−	15.1396i	0.376617	−	0.518368i	−0.578068	−	0.815989i	$-0.696193\pi$
$853$	10.9995	−	15.1396i	0.376617	−	0.518368i	0.954684	+	0.297620i	$0.0961930\pi$
$854$	−18.6039	−	3.15205i	−0.636613	−	0.107861i
$855$	−2.57481	+	11.8533i	−0.0880566	+	0.405375i
$856$	−30.6836	−	13.6612i	−1.04874	−	0.466931i
$857$	−21.7255	−	12.5432i	−0.742128	−	0.428468i	0.0807147	−	0.996737i	$-0.474280\pi$
$857$	−21.7255	−	12.5432i	−0.742128	−	0.428468i	−0.822842	+	0.568270i	$0.807613\pi$
$858$	13.8519	−	1.45590i	0.472897	−	0.0497035i
$859$	13.9792	−	15.5254i	0.476963	−	0.529721i	−0.455862	−	0.890050i	$-0.650669\pi$
$859$	13.9792	−	15.5254i	0.476963	−	0.529721i	0.932825	+	0.360329i	$0.117336\pi$
$860$	4.40213	+	0.956242i	0.150111	+	0.0326076i
$861$	−3.25645	−	22.0960i	−0.110980	−	0.753031i
$862$	−5.55799	+	1.80590i	−0.189306	+	0.0615093i
$863$	−21.5438	−	19.3981i	−0.733358	−	0.660319i	0.215326	−	0.976542i	$-0.430918\pi$
$863$	−21.5438	−	19.3981i	−0.733358	−	0.660319i	−0.948685	+	0.316223i	$0.897585\pi$
$864$	1.59308	+	1.76929i	0.0541976	+	0.0601925i
$865$	35.0415	+	15.7891i	1.19145	+	0.536846i
$866$	22.4906	−	24.9783i	0.764261	−	0.848797i
$867$	8.88681	+	12.2316i	0.301812	+	0.415408i
$868$	0.412696	+	0.0260821i	0.0140078	+	0.000885285i
$869$	1.42251	−	1.03351i	0.0482553	−	0.0350595i
$870$	−19.7503	+	26.9305i	−0.669597	+	0.913030i
$871$	31.7110	−	14.1187i	1.07449	−	0.478392i
$872$	9.95147	+	22.3514i	0.336999	+	0.756913i
$873$	1.37090	+	6.44960i	0.0463981	+	0.218286i
$874$	−43.6391			−1.47611
$875$	23.4308	−	18.0553i	0.792107	−	0.610382i
$876$	0.329222			0.0111234
$877$	10.9742	+	51.6297i	0.370574	+	1.74341i	0.629022	+	0.777387i	$0.283455\pi$
$877$	10.9742	+	51.6297i	0.370574	+	1.74341i	−0.258449	+	0.966025i	$0.583211\pi$
$878$	21.3716	+	48.0014i	0.721257	+	1.61997i
$879$	−10.3243	+	4.59666i	−0.348229	+	0.155042i
$880$	−22.1959	+	30.2652i	−0.748222	+	1.02024i
$881$	12.4132	−	9.01872i	0.418211	−	0.303848i	−0.358706	−	0.933450i	$-0.616782\pi$
$881$	12.4132	−	9.01872i	0.418211	−	0.303848i	0.776918	+	0.629602i	$0.216782\pi$
$882$	1.37313	−	10.8201i	0.0462357	−	0.364331i
$883$	−2.85061	−	3.92353i	−0.0959307	−	0.132037i	0.758353	−	0.651844i	$-0.226004\pi$
$883$	−2.85061	−	3.92353i	−0.0959307	−	0.132037i	−0.854284	+	0.519806i	$0.826004\pi$
$884$	0.976790	−	1.08484i	0.0328530	−	0.0364870i
$885$	8.97314	+	4.04315i	0.301629	+	0.135909i
$886$	−30.3360	−	33.6915i	−1.01916	−	1.13189i
$887$	32.6748	+	29.4205i	1.09711	+	0.987843i	0.999972	−	0.00742736i	$-0.00236423\pi$
$887$	32.6748	+	29.4205i	1.09711	+	0.987843i	0.0971389	+	0.995271i	$0.469031\pi$
$888$	9.01182	−	2.92812i	0.302417	−	0.0982612i
$889$	−40.7256	+	32.2599i	−1.36589	+	1.08196i
$890$	−23.1035	−	5.01860i	−0.774431	−	0.168224i
$891$	−2.40367	+	2.66954i	−0.0805259	+	0.0894331i
$892$	−0.346451	+	0.0364135i	−0.0116000	+	0.00121921i
$893$	−46.9933	−	27.1316i	−1.57257	−	0.907925i
$894$	−4.83454	−	2.15248i	−0.161691	−	0.0719895i
$895$	2.70237	−	12.4406i	0.0903304	−	0.415843i
$896$	22.8465	−	27.6007i	0.763248	−	0.922076i
$897$	7.55191	−	10.3943i	0.252151	−	0.347056i
$898$	0.694710	+	3.26835i	0.0231828	+	0.109066i
$899$	−1.75126	+	3.03326i	−0.0584076	+	0.101165i
$900$	−2.13862	−	0.0190771i	−0.0712874	−	0.000635905i
$901$	8.61320	+	14.9185i	0.286947	+	0.497007i
$902$	−44.9368	−	14.6009i	−1.49623	−	0.486156i
$903$	2.08161	−	12.2860i	0.0692717	−	0.408853i
$904$	2.97586	+	2.16209i	0.0989757	+	0.0719100i
$905$	0.101136	−	22.6759i	0.00336186	−	0.753771i
$906$	1.30040	+	12.3724i	0.0432028	+	0.411047i
$907$	−14.5790	−	8.41716i	−0.484086	−	0.279487i	0.238032	−	0.971257i	$-0.423498\pi$
$907$	−14.5790	−	8.41716i	−0.484086	−	0.279487i	−0.722118	+	0.691770i	$0.756831\pi$
$908$	−2.32463	+	5.22121i	−0.0771456	+	0.173272i
$909$	4.92662	+	15.1626i	0.163406	+	0.502911i
$910$	14.7053	−	17.6049i	0.487475	−	0.583597i
$911$	10.5032	−	32.3256i	0.347988	−	1.07100i	−0.611977	−	0.790876i	$-0.709625\pi$
$911$	10.5032	−	32.3256i	0.347988	−	1.07100i	0.959965	−	0.280121i	$-0.0903745\pi$
$912$	−18.8361	−	16.9601i	−0.623726	−	0.561606i
$913$	−11.4829	+	54.0226i	−0.380027	+	1.78789i
$914$	−31.2676	−	34.7262i	−1.03424	−	1.14864i
$915$	10.2348	+	0.0456479i	0.338353	+	0.00150907i
$916$	−0.699368	−	2.15243i	−0.0231078	−	0.0711184i
$917$	37.8245	−	23.9891i	1.24907	−	0.792190i
$918$			2.13688i			0.0705274i
$919$	29.0116	+	12.9168i	0.957003	+	0.426085i	0.824980	−	0.565161i	$-0.191186\pi$
$919$	29.0116	+	12.9168i	0.957003	+	0.426085i	0.132023	+	0.991247i	$0.457853\pi$
$920$	5.75682	+	27.6904i	0.189797	+	0.912925i
$921$	20.0691	−	8.93535i	0.661300	−	0.294430i
$922$	32.2800	+	3.39276i	1.06308	+	0.111735i
$923$	−9.14960	−	2.97288i	−0.301163	−	0.0978537i
$924$	−3.38545	−	2.25067i	−0.111373	−	0.0740417i
$925$	−8.02347	+	17.5969i	−0.263810	+	0.578582i
$926$	11.8004	+	20.4389i	0.387786	+	0.671665i
$927$	−2.84673	+	2.56321i	−0.0934990	+	0.0841869i
$928$	−9.28226	−	20.8483i	−0.304705	−	0.684379i
$929$	−5.47704	+	52.1106i	−0.179696	+	1.70969i	0.418396	+	0.908265i	$0.362592\pi$
$929$	−5.47704	+	52.1106i	−0.179696	+	1.70969i	−0.598092	+	0.801428i	$0.704074\pi$
$930$	−1.26667	+	0.127424i	−0.0415359	+	0.00417838i
$931$	−0.816766	+	37.9633i	−0.0267684	+	1.24420i
$932$			10.8727i			0.356146i
$933$	11.6676	−	26.2058i	0.381979	−	0.857938i
$934$	−7.42536	−	1.57831i	−0.242965	−	0.0516439i
$935$	−10.7854	+	2.24229i	−0.352722	+	0.0733307i
$936$	5.96294	−	1.26746i	0.194905	−	0.0414283i
$937$	50.5575	−	16.4271i	1.65164	−	0.536651i	0.672546	−	0.740055i	$-0.265201\pi$
$937$	50.5575	−	16.4271i	1.65164	−	0.536651i	0.979095	+	0.203404i	$0.0652006\pi$
$938$	−55.3815	−	15.4797i	−1.80827	−	0.505431i
$939$	−7.93450	+	24.4199i	−0.258933	+	0.796913i
$940$	2.99712	−	9.08610i	0.0977553	−	0.296356i
$941$	31.0676	+	6.60363i	1.01278	+	0.215272i	0.684269	−	0.729230i	$-0.260121\pi$
$941$	31.0676	+	6.60363i	1.01278	+	0.215272i	0.328506	+	0.944502i	$0.393455\pi$
$942$	−16.9116	+	1.77748i	−0.551010	+	0.0579135i
$943$	−37.7459	+	21.7926i	−1.22917	+	0.709664i
$944$	−16.6382	+	12.0883i	−0.541526	+	0.393442i
$945$	0.219698	+	5.91200i	0.00714676	+	0.192317i
$946$	−21.3270	−	15.4950i	−0.693402	−	0.503786i
$947$	30.8393	+	3.24134i	1.00214	+	0.105329i	0.591363	−	0.806405i	$-0.298590\pi$
$947$	30.8393	+	3.24134i	1.00214	+	0.105329i	0.410780	+	0.911735i	$0.365257\pi$
$948$	−0.155593	+	0.140096i	−0.00505341	+	0.00455011i
$949$	0.957654	−	1.65871i	0.0310868	−	0.0538439i
$950$	42.0671	−	4.04239i	1.36484	−	0.131152i
$951$	15.8341			0.513457
$952$	8.79399	−	1.29604i	0.285015	−	0.0420047i
$953$	1.18300	−	1.62826i	0.0383212	−	0.0527446i	−0.789426	−	0.613845i	$-0.789622\pi$
$953$	1.18300	−	1.62826i	0.0383212	−	0.0527446i	0.827748	+	0.561101i	$0.189622\pi$
$954$	2.04575	−	19.4640i	0.0662336	−	0.630170i
$955$	3.36815	+	16.2009i	0.108991	+	0.524248i
$956$	−0.855386	−	8.13846i	−0.0276652	−	0.263216i
$957$	29.8201	−	17.2166i	0.963946	−	0.556535i
$958$	−7.21728	−	9.93373i	−0.233180	−	0.320944i
$959$	−1.09753	−	1.12139i	−0.0354410	−	0.0362117i
$960$	−6.34923	+	10.8848i	−0.204920	+	0.351305i
$961$	30.1920	−	6.41750i	0.973935	−	0.207016i
$962$	−3.11811	+	14.6696i	−0.100532	+	0.472966i
$963$	−2.85056	+	13.4108i	−0.0918579	+	0.432158i
$964$	2.04055	−	0.433733i	0.0657218	−	0.0139696i
$965$	−42.9286	+	18.8841i	−1.38192	+	0.607900i
$966$	−20.6170	+	5.28732i	−0.663342	+	0.170117i
$967$	7.61445	+	10.4804i	0.244864	+	0.337027i	0.913704	−	0.406380i	$-0.133209\pi$
$967$	7.61445	+	10.4804i	0.244864	+	0.337027i	−0.668840	+	0.743406i	$0.733209\pi$
$968$	4.03963	−	2.33228i	0.129839	−	0.0749624i
$969$	−0.777641	−	7.39876i	−0.0249814	−	0.237683i
$970$	19.9461	−	11.3976i	0.640430	−	0.365954i
$971$	−4.08807	+	38.8954i	−0.131193	+	1.24821i	0.708719	+	0.705491i	$0.249273\pi$
$971$	−4.08807	+	38.8954i	−0.131193	+	1.24821i	−0.839912	+	0.542723i	$0.817393\pi$
$972$	0.251420	−	0.346050i	0.00806431	−	0.0110996i
$973$	−12.9056	−	16.2923i	−0.413735	−	0.522308i
$974$	−21.8149			−0.698994
$975$	−6.31702	+	10.7194i	−0.202307	+	0.343297i
$976$	−10.6935	+	18.5217i	−0.342292	+	0.592866i
$977$	−12.5223	+	11.2751i	−0.400623	+	0.360722i	−0.844676	−	0.535278i	$-0.820207\pi$
$977$	−12.5223	+	11.2751i	−0.400623	+	0.360722i	0.444053	+	0.896000i	$0.353540\pi$
$978$	−30.9931	−	3.25751i	−0.991050	−	0.104164i
$979$	19.7208	+	14.3280i	0.630280	+	0.457925i
$980$	−6.58285	+	1.22148i	−0.210281	+	0.0390187i
$981$	8.07991	−	5.87040i	0.257972	−	0.187427i
$982$	−34.4654	+	19.8986i	−1.09984	+	0.634990i
$983$	35.1204	−	3.69131i	1.12017	−	0.117734i	0.473708	−	0.880682i	$-0.342915\pi$
$983$	35.1204	−	3.69131i	1.12017	−	0.117734i	0.646460	+	0.762948i	$0.276249\pi$
$984$	−20.2284	−	4.29967i	−0.644857	−	0.137069i
$985$	11.0201	+	34.4382i	0.351129	+	1.09729i
$986$	6.32960	−	19.4805i	0.201575	−	0.620386i
$987$	−25.4890	−	7.12446i	−0.811324	−	0.226774i
$988$	5.49143	−	1.78427i	0.174706	−	0.0567653i
$989$	−23.7859	+	5.05585i	−0.756348	+	0.160767i
$990$	11.4107	+	5.14147i	0.362656	+	0.163407i
$991$	50.2320	+	10.6771i	1.59567	+	0.339171i	0.918120	−	0.396304i	$-0.129707\pi$
$991$	50.2320	+	10.6771i	1.59567	+	0.339171i	0.677553	+	0.735474i	$0.263041\pi$
$992$	0.353837	−	0.794732i	0.0112344	−	0.0252328i
$993$			7.95039i			0.252298i
$994$	8.53582	+	13.4587i	0.270740	+	0.426885i
$995$	−0.976025	−	2.21877i	−0.0309421	−	0.0703396i
$996$	0.687422	−	6.54038i	0.0217818	−	0.207240i
$997$	−6.05109	−	13.5910i	−0.191640	−	0.430430i	0.792013	−	0.610504i	$-0.209033\pi$
$997$	−6.05109	−	13.5910i	−0.191640	−	0.430430i	−0.983653	+	0.180074i	$0.942366\pi$
$998$	−44.0284	+	39.6434i	−1.39369	+	1.25489i
$999$	−1.93398	−	3.34975i	−0.0611883	−	0.105981i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bo.a.4.11	✓	320
7.2	even	3	inner	525.2.bo.a.79.11	yes	320
25.19	even	10	inner	525.2.bo.a.319.11	yes	320
175.44	even	30	inner	525.2.bo.a.394.11	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bo.a.4.11	✓	320	1.1	even	1	trivial
525.2.bo.a.79.11	yes	320	7.2	even	3	inner
525.2.bo.a.319.11	yes	320	25.19	even	10	inner
525.2.bo.a.394.11	yes	320	175.44	even	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.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.323952 - 1.52407i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(-0.390761 + 0.173978i) q^{4} +(-1.32238 + 1.80314i) q^{5} +(-1.26055 + 0.915841i) q^{6} +(1.46476 - 2.20329i) q^{7} +(-1.43994 - 1.98190i) q^{8} +(-0.669131 + 0.743145i) q^{9} +O(q^{10})\)	\(q+(-0.323952 - 1.52407i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(-0.390761 + 0.173978i) q^{4} +(-1.32238 + 1.80314i) q^{5} +(-1.26055 + 0.915841i) q^{6} +(1.46476 - 2.20329i) q^{7} +(-1.43994 - 1.98190i) q^{8} +(-0.669131 + 0.743145i) q^{9} +(3.17650 + 1.43128i) q^{10} +(-2.40367 - 2.66954i) q^{11} +(0.317874 + 0.286215i) q^{12} +(2.36667 - 0.768977i) q^{13} +(-3.83248 - 1.51864i) q^{14} +(2.18511 + 0.474655i) q^{15} +(-3.12653 + 3.47236i) q^{16} +(-1.36393 + 0.143355i) q^{17} +(1.34937 + 0.779061i) q^{18} +(-4.95561 - 2.20638i) q^{19} +(0.203030 - 0.934662i) q^{20} +(-2.60858 - 0.441969i) q^{21} +(-3.28991 + 4.52817i) q^{22} +(1.07346 + 5.05024i) q^{23} +(-1.22488 + 2.12156i) q^{24} +(-1.50261 - 4.76888i) q^{25} +(-1.93866 - 3.35786i) q^{26} +(0.951057 + 0.309017i) q^{27} +(-0.189048 + 1.11580i) q^{28} +(-7.75483 - 5.63421i) q^{29} +(0.0155390 - 3.48403i) q^{30} +(-0.0381944 - 0.363395i) q^{31} +(2.06185 + 1.19041i) q^{32} +(-1.46109 + 3.28166i) q^{33} +(0.660331 + 2.03229i) q^{34} +(2.03585 + 5.55475i) q^{35} +(0.132179 - 0.406807i) q^{36} +(-2.87445 - 2.58817i) q^{37} +(-1.75730 + 8.26747i) q^{38} +(-1.66511 - 1.84929i) q^{39} +(5.47780 + 0.0244313i) q^{40} +(2.60864 + 8.02856i) q^{41} +(0.171460 + 4.11883i) q^{42} +4.70986i q^{43} +(1.40370 + 0.624969i) q^{44} +(-0.455145 - 2.18926i) q^{45} +(7.34918 - 3.27207i) q^{46} +(9.94840 + 1.04562i) q^{47} +(4.44383 + 1.44389i) q^{48} +(-2.70895 - 6.45458i) q^{49} +(-6.78134 + 3.83497i) q^{50} +(0.685722 + 1.18770i) q^{51} +(-0.791017 + 0.712235i) q^{52} +(-5.10893 - 11.4748i) q^{53} +(0.162868 - 1.54959i) q^{54} +(7.99212 - 0.803984i) q^{55} +(-6.47587 + 0.269579i) q^{56} +5.42459i q^{57} +(-6.07476 + 13.6441i) q^{58} +(4.30528 + 0.915115i) q^{59} +(-0.936436 + 0.194685i) q^{60} +(4.47718 - 0.951654i) q^{61} +(-0.541468 + 0.175933i) q^{62} +(0.657245 + 2.56282i) q^{63} +(-1.74145 + 5.35962i) q^{64} +(-1.74307 + 5.28431i) q^{65} +(5.47481 + 1.16371i) q^{66} +(13.8728 - 1.45809i) q^{67} +(0.508031 - 0.293312i) q^{68} +(4.17701 - 3.03477i) q^{69} +(7.80633 - 4.90226i) q^{70} +(-3.12768 - 2.27239i) q^{71} +(2.43635 + 0.256071i) q^{72} +(0.571981 - 0.515014i) q^{73} +(-3.01337 + 5.21931i) q^{74} +(-3.74542 + 3.31238i) q^{75} +2.32032 q^{76} +(-9.40257 + 1.38573i) q^{77} +(-2.27903 + 3.13682i) q^{78} +(-0.0511645 + 0.486797i) q^{79} +(-2.12667 - 10.2293i) q^{80} +(-0.104528 - 0.994522i) q^{81} +(11.3910 - 6.57662i) q^{82} +(-9.03704 - 12.4384i) q^{83} +(1.09622 - 0.281131i) q^{84} +(1.54515 - 2.64892i) q^{85} +(7.17817 - 1.52577i) q^{86} +(-1.99294 + 9.37603i) q^{87} +(-1.82965 + 8.60782i) q^{88} +(-6.63755 + 1.41085i) q^{89} +(-3.18914 + 1.40289i) q^{90} +(1.77233 - 6.34081i) q^{91} +(-1.29810 - 1.78668i) q^{92} +(-0.316443 + 0.182698i) q^{93} +(-1.62920 - 15.5008i) q^{94} +(10.5316 - 6.01796i) q^{95} +(0.248863 - 2.36777i) q^{96} +(3.87567 - 5.33440i) q^{97} +(-8.95968 + 6.21960i) q^{98} +3.59223 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Introduction

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