LMFDB - Embedded newform 804.2.bd.a.35.108

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(23,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 33, 28]))

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

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

chi := DirichletCharacter("804.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.bd (of order $66$, degree $20$, 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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$2640$
Relative dimension:	$132$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			35.108
Character	$\chi$	$=$	804.35
Dual form			804.2.bd.a.23.108

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.14495 + 0.830114i) q^{2} +(0.403367 - 1.68443i) q^{3} +(0.621823 + 1.90088i) q^{4} +(2.23249 + 1.01954i) q^{5} +(1.86010 - 1.59374i) q^{6} +(3.06753 - 3.21714i) q^{7} +(-0.865989 + 2.69259i) q^{8} +(-2.67459 - 1.35889i) q^{9} +O(q^{10})$	\(q+(1.14495 + 0.830114i) q^{2} +(0.403367 - 1.68443i) q^{3} +(0.621823 + 1.90088i) q^{4} +(2.23249 + 1.01954i) q^{5} +(1.86010 - 1.59374i) q^{6} +(3.06753 - 3.21714i) q^{7} +(-0.865989 + 2.69259i) q^{8} +(-2.67459 - 1.35889i) q^{9} +(1.70975 + 3.02055i) q^{10} +(1.57520 - 0.150413i) q^{11} +(3.45271 - 0.280663i) q^{12} +(-1.56534 + 0.301694i) q^{13} +(6.18277 - 1.13706i) q^{14} +(2.61786 - 3.34922i) q^{15} +(-3.22667 + 2.36402i) q^{16} +(1.37562 + 2.66833i) q^{17} +(-1.93424 - 3.77607i) q^{18} +(-5.04324 - 5.28920i) q^{19} +(-0.549816 + 4.87767i) q^{20} +(-4.18169 - 6.46473i) q^{21} +(1.92838 + 1.13538i) q^{22} +(1.19919 + 0.480083i) q^{23} +(4.18617 + 2.54480i) q^{24} +(0.670243 + 0.773501i) q^{25} +(-2.04268 - 0.953984i) q^{26} +(-3.36779 + 3.95702i) q^{27} +(8.02285 + 3.83052i) q^{28} +(-1.44193 + 0.832499i) q^{29} +(5.77755 - 1.66156i) q^{30} +(-1.81495 + 9.41688i) q^{31} +(-5.65678 + 0.0281772i) q^{32} +(0.382023 - 2.71397i) q^{33} +(-0.640000 + 4.19702i) q^{34} +(10.1283 - 4.05474i) q^{35} +(0.919955 - 5.92905i) q^{36} +(1.39286 - 2.41250i) q^{37} +(-1.38362 - 10.2423i) q^{38} +(-0.123224 + 2.75839i) q^{39} +(-4.67853 + 5.12828i) q^{40} +(2.52721 + 0.120386i) q^{41} +(0.578629 - 10.8731i) q^{42} +(2.95214 - 4.59362i) q^{43} +(1.26541 + 2.90072i) q^{44} +(-4.58555 - 5.76056i) q^{45} +(0.974489 + 1.54514i) q^{46} +(-4.66966 + 3.67226i) q^{47} +(2.68048 + 6.38866i) q^{48} +(-0.607133 - 12.7453i) q^{49} +(0.125301 + 1.44200i) q^{50} +(5.04948 - 1.24081i) q^{51} +(-1.54685 - 2.78792i) q^{52} +(6.80366 + 10.5867i) q^{53} +(-7.14073 + 1.73495i) q^{54} +(3.66996 + 1.27019i) q^{55} +(6.00600 + 11.0456i) q^{56} +(-10.9436 + 6.36148i) q^{57} +(-2.34201 - 0.243796i) q^{58} +(1.31106 - 1.51305i) q^{59} +(7.99430 + 2.89362i) q^{60} +(-3.51789 - 0.335918i) q^{61} +(-9.89511 + 9.27524i) q^{62} +(-12.5761 + 4.43609i) q^{63} +(-6.50013 - 4.66351i) q^{64} +(-3.80220 - 0.922403i) q^{65} +(2.69030 - 2.79024i) q^{66} +(-8.07546 - 1.33677i) q^{67} +(-4.21677 + 4.27411i) q^{68} +(1.29238 - 1.82630i) q^{69} +(14.9623 + 3.76513i) q^{70} +(1.81399 + 0.935176i) q^{71} +(5.97509 - 6.02481i) q^{72} +(13.1491 + 1.25558i) q^{73} +(3.59741 - 1.60597i) q^{74} +(1.57326 - 0.816970i) q^{75} +(6.91812 - 12.8755i) q^{76} +(4.34807 - 5.52902i) q^{77} +(-2.43087 + 3.05593i) q^{78} +(-10.6353 - 3.68090i) q^{79} +(-9.61374 + 1.98791i) q^{80} +(5.30686 + 7.26892i) q^{81} +(2.79360 + 2.23571i) q^{82} +(8.02119 + 11.2642i) q^{83} +(9.68839 - 11.9688i) q^{84} +(0.350577 + 7.35952i) q^{85} +(7.19328 - 2.80886i) q^{86} +(0.820656 + 2.76463i) q^{87} +(-0.959101 + 4.37162i) q^{88} +(-10.9904 - 1.58018i) q^{89} +(-0.468308 - 10.4021i) q^{90} +(-3.83114 + 5.96137i) q^{91} +(-0.166896 + 2.57804i) q^{92} +(15.1299 + 6.85562i) q^{93} +(-8.39493 + 0.328208i) q^{94} +(-5.86642 - 16.9499i) q^{95} +(-2.23430 + 9.53981i) q^{96} +(7.46373 - 12.9276i) q^{97} +(9.88490 - 15.0967i) q^{98} +(-4.41740 - 1.73822i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{19}{33}\right)$	$-1$

Coefficient data

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

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

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

$2$	1.14495	+	0.830114i	0.809602	+	0.586979i
$2$	1.14495	+	0.830114i	0.809602	+	0.586979i
$3$	0.403367	−	1.68443i	0.232884	−	0.972504i
$3$	0.403367	−	1.68443i	0.232884	−	0.972504i
$4$	0.621823	+	1.90088i	0.310911	+	0.950439i
$5$	2.23249	+	1.01954i	0.998400	+	0.455954i	0.846470	−	0.532437i	$-0.178724\pi$
$5$	2.23249	+	1.01954i	0.998400	+	0.455954i	0.151931	+	0.988391i	$0.451451\pi$
$6$	1.86010	−	1.59374i	0.759383	−	0.650644i
$7$	3.06753	−	3.21714i	1.15942	−	1.21596i	0.187091	−	0.982342i	$-0.440094\pi$
$7$	3.06753	−	3.21714i	1.15942	−	1.21596i	0.972328	−	0.233621i	$-0.0750576\pi$
$8$	−0.865989	+	2.69259i	−0.306173	+	0.951976i
$9$	−2.67459	−	1.35889i	−0.891530	−	0.452962i
$10$	1.70975	+	3.02055i	0.540672	+	0.955182i
$11$	1.57520	−	0.150413i	0.474939	−	0.0453512i	0.145158	−	0.989408i	$-0.453631\pi$
$11$	1.57520	−	0.150413i	0.474939	−	0.0453512i	0.329782	+	0.944057i	$0.393025\pi$
$12$	3.45271	−	0.280663i	0.996712	−	0.0810204i
$13$	−1.56534	+	0.301694i	−0.434147	+	0.0836750i	−0.401642	−	0.915797i	$-0.631560\pi$
$13$	−1.56534	+	0.301694i	−0.434147	+	0.0836750i	−0.0325047	+	0.999472i	$0.510348\pi$
$14$	6.18277	−	1.13706i	1.65241	−	0.303892i
$15$	2.61786	−	3.34922i	0.675929	−	0.864764i
$16$	−3.22667	+	2.36402i	−0.806668	+	0.591004i
$17$	1.37562	+	2.66833i	0.333636	+	0.647164i	0.994661	−	0.103200i	$-0.0329083\pi$
$17$	1.37562	+	2.66833i	0.333636	+	0.647164i	−0.661024	+	0.750365i	$0.729878\pi$
$18$	−1.93424	−	3.77607i	−0.455905	−	0.890028i
$19$	−5.04324	−	5.28920i	−1.15700	−	1.21343i	−0.973076	−	0.230485i	$-0.925969\pi$
$19$	−5.04324	−	5.28920i	−1.15700	−	1.21343i	−0.183923	−	0.982941i	$-0.558880\pi$
$20$	−0.549816	+	4.87767i	−0.122943	+	1.09068i
$21$	−4.18169	−	6.46473i	−0.912520	−	1.41072i
$22$	1.92838	+	1.13538i	0.411132	+	0.242063i
$23$	1.19919	+	0.480083i	0.250048	+	0.100104i	0.493301	−	0.869859i	$-0.335790\pi$
$23$	1.19919	+	0.480083i	0.250048	+	0.100104i	−0.243253	+	0.969963i	$0.578214\pi$
$24$	4.18617	+	2.54480i	0.854498	+	0.519455i
$25$	0.670243	+	0.773501i	0.134049	+	0.154700i
$26$	−2.04268	−	0.953984i	−0.400602	−	0.187092i
$27$	−3.36779	+	3.95702i	−0.648131	+	0.761529i
$28$	8.02285	+	3.83052i	1.51618	+	0.723900i
$29$	−1.44193	+	0.832499i	−0.267760	+	0.154591i	−0.627869	−	0.778319i	$-0.716073\pi$
$29$	−1.44193	+	0.832499i	−0.267760	+	0.154591i	0.360109	+	0.932910i	$0.382739\pi$
$30$	5.77755	−	1.66156i	1.05483	−	0.303359i
$31$	−1.81495	+	9.41688i	−0.325975	+	1.69132i	0.336054	+	0.941843i	$0.390908\pi$
$31$	−1.81495	+	9.41688i	−0.325975	+	1.69132i	−0.662029	+	0.749478i	$0.730305\pi$
$32$	−5.65678	+	0.0281772i	−0.999988	+	0.00498107i
$33$	0.382023	−	2.71397i	0.0665016	−	0.472442i
$34$	−0.640000	+	4.19702i	−0.109759	+	0.719783i
$35$	10.1283	−	4.05474i	1.71199	−	0.685377i
$36$	0.919955	−	5.92905i	0.153326	−	0.988176i
$37$	1.39286	−	2.41250i	0.228985	−	0.396613i	−0.728523	−	0.685022i	$-0.759793\pi$
$37$	1.39286	−	2.41250i	0.228985	−	0.396613i	0.957507	+	0.288408i	$0.0931261\pi$
$38$	−1.38362	−	10.2423i	−0.224454	−	1.66153i
$39$	−0.123224	+	2.75839i	−0.0197317	+	0.441696i
$40$	−4.67853	+	5.12828i	−0.739741	+	0.810852i
$41$	2.52721	+	0.120386i	0.394684	+	0.0188011i	0.243986	−	0.969779i	$-0.421545\pi$
$41$	2.52721	+	0.120386i	0.394684	+	0.0188011i	0.150698	+	0.988580i	$0.451848\pi$
$42$	0.578629	−	10.8731i	0.0892845	−	1.67775i
$43$	2.95214	−	4.59362i	0.450197	−	0.700521i	−0.539771	−	0.841812i	$-0.681489\pi$
$43$	2.95214	−	4.59362i	0.450197	−	0.700521i	0.989968	+	0.141291i	$0.0451254\pi$
$44$	1.26541	+	2.90072i	0.190768	+	0.437301i
$45$	−4.58555	−	5.76056i	−0.683574	−	0.858734i
$46$	0.974489	+	1.54514i	0.143681	+	0.227818i
$47$	−4.66966	+	3.67226i	−0.681140	+	0.535655i	−0.897696	−	0.440616i	$-0.854760\pi$
$47$	−4.66966	+	3.67226i	−0.681140	+	0.535655i	0.216555	+	0.976270i	$0.430518\pi$
$48$	2.68048	+	6.38866i	0.386894	+	0.922124i
$49$	−0.607133	−	12.7453i	−0.0867333	−	1.82076i
$50$	0.125301	+	1.44200i	0.0177202	+	0.203929i
$51$	5.04948	−	1.24081i	0.707069	−	0.173749i
$52$	−1.54685	−	2.78792i	−0.214509	−	0.386615i
$53$	6.80366	+	10.5867i	0.934554	+	1.45419i	0.890405	+	0.455169i	$0.150421\pi$
$53$	6.80366	+	10.5867i	0.934554	+	1.45419i	0.0441490	+	0.999025i	$0.485942\pi$
$54$	−7.14073	+	1.73495i	−0.971730	+	0.236097i
$55$	3.66996	+	1.27019i	0.494858	+	0.171272i
$56$	6.00600	+	11.0456i	0.802585	+	1.47603i
$57$	−10.9436	+	6.36148i	−1.44951	+	0.842599i
$58$	−2.34201	−	0.243796i	−0.307521	−	0.0320120i
$59$	1.31106	−	1.51305i	0.170686	−	0.196982i	−0.663961	−	0.747767i	$-0.731126\pi$
$59$	1.31106	−	1.51305i	0.170686	−	0.196982i	0.834647	+	0.550785i	$0.185671\pi$
$60$	7.99430	+	2.89362i	1.03206	+	0.373564i
$61$	−3.51789	−	0.335918i	−0.450420	−	0.0430099i	−0.132619	−	0.991167i	$-0.542339\pi$
$61$	−3.51789	−	0.335918i	−0.450420	−	0.0430099i	−0.317802	+	0.948157i	$0.602945\pi$
$62$	−9.89511	+	9.27524i	−1.25668	+	1.17796i
$63$	−12.5761	+	4.43609i	−1.58444	+	0.558895i
$64$	−6.50013	−	4.66351i	−0.812516	−	0.582939i
$65$	−3.80220	−	0.922403i	−0.471605	−	0.114410i
$66$	2.69030	−	2.79024i	0.331154	−	0.343455i
$67$	−8.07546	−	1.33677i	−0.986574	−	0.163312i
$67$	−8.07546	−	1.33677i	−0.986574	−	0.163312i
$68$	−4.21677	+	4.27411i	−0.511359	+	0.518312i
$69$	1.29238	−	1.82630i	0.155584	−	0.219861i
$70$	14.9623	+	3.76513i	1.78833	+	0.450019i
$71$	1.81399	+	0.935176i	0.215281	+	0.110985i	0.562494	−	0.826801i	$-0.309842\pi$
$71$	1.81399	+	0.935176i	0.215281	+	0.110985i	−0.347214	+	0.937786i	$0.612872\pi$
$72$	5.97509	−	6.02481i	0.704171	−	0.710030i
$73$	13.1491	+	1.25558i	1.53898	+	0.146955i	0.829796	−	0.558067i	$-0.188457\pi$
$73$	13.1491	+	1.25558i	1.53898	+	0.146955i	0.709185	+	0.705022i	$0.249063\pi$
$74$	3.59741	−	1.60597i	0.418190	−	0.186690i
$75$	1.57326	−	0.816970i	0.181664	−	0.0943355i
$76$	6.91812	−	12.8755i	0.793563	−	1.47692i
$77$	4.34807	−	5.52902i	0.495508	−	0.630090i
$78$	−2.43087	+	3.05593i	−0.275241	+	0.346016i
$79$	−10.6353	−	3.68090i	−1.19656	−	0.414134i	−0.345108	−	0.938563i	$-0.612158\pi$
$79$	−10.6353	−	3.68090i	−1.19656	−	0.414134i	−0.851454	+	0.524429i	$0.824279\pi$
$80$	−9.61374	+	1.98791i	−1.07485	+	0.222255i
$81$	5.30686	+	7.26892i	0.589651	+	0.807658i
$82$	2.79360	+	2.23571i	0.308501	+	0.246893i
$83$	8.02119	+	11.2642i	0.880440	+	1.23640i	0.970653	+	0.240482i	$0.0773057\pi$
$83$	8.02119	+	11.2642i	0.880440	+	1.23640i	−0.0902135	+	0.995922i	$0.528755\pi$
$84$	9.68839	−	11.9688i	1.05709	−	1.30590i
$85$	0.350577	+	7.35952i	0.0380254	+	0.798252i
$86$	7.19328	−	2.80886i	0.775672	−	0.302887i
$87$	0.820656	+	2.76463i	0.0879836	+	0.296399i
$88$	−0.959101	+	4.37162i	−0.102240	+	0.466016i
$89$	−10.9904	−	1.58018i	−1.16498	−	0.167499i	−0.467428	−	0.884031i	$-0.654819\pi$
$89$	−10.9904	−	1.58018i	−1.16498	−	0.167499i	−0.697554	+	0.716532i	$0.745728\pi$
$90$	−0.468308	−	10.4021i	−0.0493640	−	1.09648i
$91$	−3.83114	+	5.96137i	−0.401613	+	0.624921i
$92$	−0.166896	+	2.57804i	−0.0174001	+	0.268779i
$93$	15.1299	+	6.85562i	1.56890	+	0.710894i
$94$	−8.39493	+	0.328208i	−0.865871	+	0.0338521i
$95$	−5.86642	−	16.9499i	−0.601882	−	1.73902i
$96$	−2.23430	+	9.53981i	−0.228037	+	0.973652i
$97$	7.46373	−	12.9276i	0.757827	−	1.31259i	−0.186130	−	0.982525i	$-0.559595\pi$
$97$	7.46373	−	12.9276i	0.757827	−	1.31259i	0.943957	−	0.330069i	$-0.107072\pi$
$98$	9.88490	−	15.0967i	0.998526	−	1.52500i
$99$	−4.41740	−	1.73822i	−0.443965	−	0.174697i
$100$	−1.05356	+	1.75503i	−0.105356	+	0.175503i
$101$	−8.59670	+	2.08554i	−0.855404	+	0.207519i	−0.639401	−	0.768874i	$-0.720817\pi$
$101$	−8.59670	+	2.08554i	−0.855404	+	0.207519i	−0.216003	+	0.976393i	$0.569302\pi$
$102$	6.81142	+	2.77097i	0.674431	+	0.274367i
$103$	−1.17268	+	6.08442i	−0.115547	+	0.599516i	0.877282	+	0.479975i	$0.159354\pi$
$103$	−1.17268	+	6.08442i	−0.115547	+	0.599516i	−0.992829	+	0.119541i	$0.961858\pi$
$104$	0.543226	−	4.47609i	0.0532676	−	0.438916i
$105$	−2.74451	−	18.6959i	−0.267837	−	1.82453i
$106$	−0.998312	+	17.7690i	−0.0969646	+	1.72588i
$107$	−0.454555	−	0.995336i	−0.0439434	−	0.0962227i	0.886387	−	0.462945i	$-0.153207\pi$
$107$	−0.454555	−	0.995336i	−0.0439434	−	0.0962227i	−0.930330	+	0.366722i	$0.880480\pi$
$108$	−9.61598	−	3.94118i	−0.925298	−	0.379241i
$109$	1.62777	+	1.87855i	0.155912	+	0.179932i	0.828332	−	0.560238i	$-0.189290\pi$
$109$	1.62777	+	1.87855i	0.155912	+	0.179932i	−0.672419	+	0.740170i	$0.734745\pi$
$110$	3.14753	+	4.50079i	0.300105	+	0.429133i
$111$	−3.50185	−	3.31930i	−0.332381	−	0.315054i
$112$	−2.29256	+	17.6324i	−0.216627	+	1.66610i
$113$	−0.152859	−	0.108850i	−0.0143797	−	0.0102398i	0.572844	−	0.819664i	$-0.305840\pi$
$113$	−0.152859	−	0.108850i	−0.0143797	−	0.0102398i	−0.587224	+	0.809424i	$0.699779\pi$
$114$	−17.8106	−	1.80081i	−1.66811	−	0.168661i
$115$	2.18772	+	2.29441i	0.204005	+	0.213955i
$116$	−2.47910	−	2.22327i	−0.230179	−	0.206425i
$117$	4.59661	+	1.32021i	0.424957	+	0.122053i
$118$	2.75711	−	0.644033i	0.253812	−	0.0592881i
$119$	12.8041	+	3.75963i	1.17375	+	0.344645i
$120$	6.75105	+	9.94923i	0.616283	+	0.908236i
$121$	−8.34260	+	1.60790i	−0.758418	+	0.146173i
$122$	−3.74896	−	3.30486i	−0.339415	−	0.299208i
$123$	1.22218	−	4.20834i	0.110200	−	0.379453i
$124$	−19.0289	+	2.40562i	−1.70885	+	0.216031i
$125$	−2.74956	−	9.36414i	−0.245928	−	0.837554i
$126$	−18.0815	−	5.36050i	−1.61083	−	0.477551i
$127$	2.79086	−	2.92697i	0.247649	−	0.259727i	−0.588163	−	0.808742i	$-0.700149\pi$
$127$	2.79086	−	2.92697i	0.247649	−	0.259727i	0.835812	+	0.549015i	$0.184997\pi$
$128$	−3.57108	−	10.7353i	−0.315642	−	0.948878i
$129$	−6.54682	−	6.82558i	−0.576416	−	0.600959i
$130$	−3.58763	−	4.21236i	−0.314656	−	0.369449i
$131$	−0.990509	−	6.88914i	−0.0865412	−	0.601907i	−0.986231	−	0.165376i	$-0.947116\pi$
$131$	−0.990509	−	6.88914i	−0.0865412	−	0.601907i	0.899689	−	0.436531i	$-0.143793\pi$
$132$	5.39648	−	0.961432i	0.469704	−	0.0836819i
$133$	−32.4864			−2.81693
$134$	−8.13633	−	8.23408i	−0.702872	−	0.711316i
$135$	−11.5529	+	5.40041i	−0.994316	+	0.464793i
$136$	−8.37599	+	1.39324i	−0.718235	+	0.119469i
$137$	−21.7028	+	3.12040i	−1.85420	+	0.266594i	−0.976954	−	0.213449i	$-0.931530\pi$
$137$	−21.7028	+	3.12040i	−1.85420	+	0.266594i	−0.877245	+	0.480043i	$0.840621\pi$
$138$	2.99575	−	1.01820i	0.255015	−	0.0866749i
$139$	−7.37206	−	3.36671i	−0.625290	−	0.285560i	0.0774620	−	0.996995i	$-0.475318\pi$
$139$	−7.37206	−	3.36671i	−0.625290	−	0.285560i	−0.702752	+	0.711435i	$0.748046\pi$
$140$	14.0056	+	16.7313i	1.18369	+	1.41405i
$141$	4.30207	+	9.34698i	0.362300	+	0.787158i
$142$	1.30062	+	2.57655i	0.109146	+	0.216219i
$143$	−2.42034	+	0.710675i	−0.202399	+	0.0594296i
$144$	11.8425	−	1.93810i	0.986871	−	0.161508i
$145$	−4.06787	+	0.388434i	−0.337818	+	0.0322577i
$146$	14.0127	+	12.3528i	1.15970	+	1.02232i
$147$	−21.7134	−	4.11836i	−1.79089	−	0.339677i
$148$	5.45199	+	1.14751i	0.448151	+	0.0943245i
$149$	5.09583	−	17.3548i	0.417467	−	1.42176i	−0.435686	−	0.900099i	$-0.643494\pi$
$149$	5.09583	−	17.3548i	0.417467	−	1.42176i	0.853152	−	0.521662i	$-0.174688\pi$
$150$	2.47948	+	0.370595i	0.202449	+	0.0302590i
$151$	9.95148	+	19.3032i	0.809840	+	1.57087i	0.820997	+	0.570933i	$0.193418\pi$
$151$	9.95148	+	19.3032i	0.809840	+	1.57087i	−0.0111569	+	0.999938i	$0.503551\pi$
$152$	18.6091	−	8.99902i	1.50939	−	0.729917i
$153$	−0.0532629	−	9.00599i	−0.00430605	−	0.728091i
$154$	9.56804	−	2.72106i	0.771014	−	0.219269i
$155$	−13.6528	+	19.1727i	−1.09662	+	1.53999i
$156$	−5.31999	+	1.48100i	−0.425940	+	0.118575i
$157$	12.6146	+	5.05014i	1.00676	+	0.403045i	0.815663	−	0.578527i	$-0.196372\pi$
$157$	12.6146	+	5.05014i	1.00676	+	0.403045i	0.191094	+	0.981572i	$0.438797\pi$
$158$	−9.12129	−	13.0429i	−0.725651	−	1.03764i
$159$	20.5769	−	7.18994i	1.63185	−	0.570199i
$160$	−12.6574	−	5.70444i	−1.00066	−	0.450975i
$161$	5.22305	−	2.38529i	0.411634	−	0.187987i
$162$	0.0420586	+	12.7279i	0.00330443	+	0.999995i
$163$	−19.7623	+	11.4098i	−1.54790	+	0.893682i	−0.549601	+	0.835427i	$0.685220\pi$
$163$	−19.7623	+	11.4098i	−1.54790	+	0.893682i	−0.998302	+	0.0582552i	$0.981446\pi$
$164$	1.34264	+	4.87878i	0.104842	+	0.380969i
$165$	3.61988	−	5.66944i	0.281807	−	0.441365i
$166$	−0.166690	+	19.5554i	−0.0129376	+	1.51780i
$167$	−1.30381	−	5.37438i	−0.100892	−	0.415882i	0.898858	−	0.438240i	$-0.144398\pi$
$167$	−1.30381	−	5.37438i	−0.100892	−	0.415882i	−0.999750	+	0.0223576i	$0.992883\pi$
$168$	21.0282	−	5.66122i	1.62236	−	0.436772i
$169$	−9.70952	+	3.88710i	−0.746886	+	0.299008i
$170$	−5.70785	+	8.71730i	−0.437772	+	0.668587i
$171$	6.30119	+	20.9996i	0.481864	+	1.60588i
$172$	10.5676	+	2.75524i	0.805774	+	0.210085i
$173$	−5.86833	+	2.03105i	−0.446161	+	0.154418i	−0.540905	−	0.841084i	$-0.681918\pi$
$173$	−5.86833	+	2.03105i	−0.446161	+	0.154418i	0.0947436	+	0.995502i	$0.469797\pi$
$174$	−1.35535	+	3.84660i	−0.102749	+	0.291610i
$175$	4.54445	+	0.216479i	0.343528	+	0.0163643i
$176$	−4.72706	+	4.20912i	−0.356316	+	0.317275i
$177$	−2.01978	−	2.81871i	−0.151816	−	0.211867i
$178$	−11.2717	−	10.9325i	−0.844853	−	0.819427i
$179$	−2.21623	+	15.4142i	−0.165648	+	1.15211i	0.722102	+	0.691786i	$0.243176\pi$
$179$	−2.21623	+	15.4142i	−0.165648	+	1.15211i	−0.887751	+	0.460324i	$0.847733\pi$
$180$	8.09873	−	12.2986i	0.603644	−	0.916685i
$181$	12.6545	−	9.95160i	0.940600	−	0.739696i	−0.0250107	−	0.999687i	$-0.507962\pi$
$181$	12.6545	−	9.95160i	0.940600	−	0.739696i	0.965611	+	0.259991i	$0.0837195\pi$
$182$	−9.33508	+	3.64519i	−0.691962	+	0.270200i
$183$	−1.98483	+	5.79014i	−0.146723	+	0.428019i
$184$	−2.33115	+	2.81319i	−0.171855	+	0.207391i
$185$	5.56920	−	3.96581i	0.409456	−	0.291572i
$186$	11.6321	+	20.4089i	0.852907	+	1.49645i
$187$	2.56822	+	3.99623i	0.187807	+	0.292233i
$188$	−9.88423	−	6.59296i	−0.720881	−	0.480841i
$189$	2.39948	+	22.9729i	0.174537	+	1.67103i
$190$	7.35359	−	24.2766i	0.533485	−	1.76121i
$191$	−6.67692	−	5.25079i	−0.483125	−	0.379934i	0.346683	−	0.937982i	$-0.387308\pi$
$191$	−6.67692	−	5.25079i	−0.483125	−	0.379934i	−0.829808	+	0.558048i	$0.811550\pi$
$192$	−10.4773	+	9.06788i	−0.756133	+	0.654418i
$193$	−1.57550	+	1.81823i	−0.113407	+	0.130879i	−0.809615	−	0.586962i	$-0.800324\pi$
$193$	−1.57550	+	1.81823i	−0.113407	+	0.130879i	0.696207	+	0.717841i	$0.254869\pi$
$194$	19.2769	−	8.60567i	1.38400	−	0.617851i
$195$	−3.08740	+	6.03246i	−0.221094	+	0.431993i
$196$	23.8497	−	9.07940i	1.70355	−	0.648528i
$197$	5.39287	−	10.4607i	0.384226	−	0.745294i	−0.614833	−	0.788657i	$-0.710777\pi$
$197$	5.39287	−	10.4607i	0.384226	−	0.745294i	0.999059	+	0.0433626i	$0.0138071\pi$
$198$	−3.61478	−	5.65711i	−0.256891	−	0.402034i
$199$	−4.89226	−	1.18685i	−0.346803	−	0.0841335i	0.0585742	−	0.998283i	$-0.481345\pi$
$199$	−4.89226	−	1.18685i	−0.346803	−	0.0841335i	−0.405377	+	0.914150i	$0.632860\pi$
$200$	−2.66315	+	1.13485i	−0.188313	+	0.0802459i
$201$	−5.50906	+	13.0633i	−0.388579	+	0.921415i
$202$	−11.5740	−	4.74840i	−0.814346	−	0.334097i
$203$	−1.74491	+	7.19261i	−0.122469	+	0.504822i
$204$	5.49852	+	8.82688i	0.384973	+	0.618005i
$205$	5.51924	+	2.84536i	0.385480	+	0.198729i
$206$	−6.39342	+	5.99291i	−0.445451	+	0.417546i
$207$	−2.55496	−	2.91359i	−0.177582	−	0.202508i
$208$	4.33763	−	4.67396i	0.300760	−	0.324081i
$209$	−8.73966	−	7.57296i	−0.604535	−	0.523833i
$210$	12.3774	−	23.6841i	0.854119	−	1.63436i
$211$	8.98985	−	11.4315i	0.618887	−	0.786979i	−0.371031	−	0.928620i	$-0.620996\pi$
$211$	8.98985	−	11.4315i	0.618887	−	0.786979i	0.989918	+	0.141642i	$0.0452381\pi$
$212$	−15.8933	+	19.5160i	−1.09156	+	1.34036i
$213$	2.30694	−	2.67831i	0.158069	−	0.183515i
$214$	0.305799	−	1.51694i	0.0209040	−	0.103696i
$215$	11.2740	−	7.24538i	0.768883	−	0.494131i
$216$	−7.73819	−	12.4948i	−0.526517	−	0.850165i
$217$	24.7280	+	34.7256i	1.67864	+	2.35732i
$218$	0.304309	+	3.50208i	0.0206104	+	0.237191i
$219$	7.41884	−	21.6422i	0.501319	−	1.46244i
$220$	−0.132404	+	7.76598i	−0.00892665	+	0.523583i
$221$	−2.95833	−	3.76182i	−0.198999	−	0.253047i
$222$	−1.25405	−	6.70736i	−0.0841666	−	0.450169i
$223$	−3.00035	−	0.431385i	−0.200918	−	0.0288877i	0.0411209	−	0.999154i	$-0.486907\pi$
$223$	−3.00035	−	0.431385i	−0.200918	−	0.0288877i	−0.242039	+	0.970267i	$0.577816\pi$
$224$	−17.2617	+	18.2851i	−1.15335	+	1.22172i
$225$	−0.741524	−	2.97958i	−0.0494350	−	0.198639i
$226$	−0.0846575	−	0.251518i	−0.00563133	−	0.0167307i
$227$	1.05756	−	22.2009i	0.0701927	−	1.47353i	−0.639378	−	0.768892i	$-0.720808\pi$
$227$	1.05756	−	22.2009i	0.0701927	−	1.47353i	0.709571	−	0.704634i	$-0.248889\pi$
$228$	−18.8974	−	16.8466i	−1.25151	−	1.11570i
$229$	−3.99931	−	11.5552i	−0.264282	−	0.763592i	−0.996582	−	0.0826100i	$-0.973674\pi$
$229$	−3.99931	−	11.5552i	−0.264282	−	0.763592i	0.732300	−	0.680982i	$-0.238447\pi$
$230$	0.600204	+	4.44304i	0.0395763	+	0.292965i
$231$	−7.55936	−	9.55423i	−0.497369	−	0.628622i
$232$	−0.992887	−	4.60347i	−0.0651862	−	0.302233i
$233$	−2.53184	−	6.32423i	−0.165866	−	0.414314i	0.822027	−	0.569449i	$-0.192843\pi$
$233$	−2.53184	−	6.32423i	−0.165866	−	0.414314i	−0.987893	+	0.155134i	$0.950419\pi$
$234$	4.16697	+	5.32728i	0.272403	+	0.348255i
$235$	−14.1690	+	3.43737i	−0.924285	+	0.224229i
$236$	3.69137	+	1.55132i	0.240288	+	0.100983i
$237$	−10.4901	+	16.4296i	−0.681408	+	1.06722i
$238$	11.5392	+	14.9335i	0.747973	+	0.967994i
$239$	2.94275	+	5.09700i	0.190351	+	0.329697i	0.945367	−	0.326009i	$-0.105704\pi$
$239$	2.94275	+	5.09700i	0.190351	+	0.329697i	−0.755016	+	0.655707i	$0.772371\pi$
$240$	−0.529377	+	16.9955i	−0.0341711	+	1.09706i
$241$	1.77183	+	3.87976i	0.114133	+	0.249917i	0.958075	−	0.286518i	$-0.0924978\pi$
$241$	1.77183	+	3.87976i	0.114133	+	0.249917i	−0.843941	+	0.536435i	$0.819771\pi$
$242$	−10.8866	−	5.08433i	−0.699817	−	0.326833i
$243$	14.3846	−	6.00697i	0.922772	−	0.385347i
$244$	−1.54897	−	6.89597i	−0.0991625	−	0.441469i
$245$	11.6390	−	29.0728i	0.743587	−	1.85739i
$246$	4.89273	−	3.80380i	0.311949	−	0.242521i
$247$	9.49011	+	6.75788i	0.603841	+	0.429993i
$248$	−23.7841	−	13.0418i	−1.51029	−	0.828158i
$249$	22.2092	−	8.96751i	1.40745	−	0.568293i
$250$	4.62519	−	13.0039i	0.292523	−	0.822441i
$251$	24.2837	−	12.5191i	1.53277	−	0.790199i	0.534292	−	0.845300i	$-0.320578\pi$
$251$	24.2837	−	12.5191i	1.53277	−	0.790199i	0.998481	+	0.0551003i	$0.0175478\pi$
$252$	−16.2526	−	21.1472i	−1.02382	−	1.33215i
$253$	1.96117	+	0.575852i	0.123298	+	0.0362035i
$254$	5.62512	−	1.03450i	0.352951	−	0.0649106i
$255$	12.5380	+	2.37807i	0.785159	+	0.148920i
$256$	4.82284	−	15.2558i	0.301428	−	0.953489i
$257$	1.20238	+	12.5919i	0.0750024	+	0.785461i	0.952229	+	0.305385i	$0.0987850\pi$
$257$	1.20238	+	12.5919i	0.0750024	+	0.785461i	−0.877227	+	0.480076i	$0.840609\pi$
$258$	−1.82978	−	13.2496i	−0.113917	−	0.824882i
$259$	−3.48871	−	11.8815i	−0.216778	−	0.738278i
$260$	−0.610917	−	7.80108i	−0.0378874	−	0.483803i
$261$	4.98784	−	0.267175i	0.308740	−	0.0165377i
$262$	4.58469	−	8.70996i	0.283243	−	0.538103i
$263$	0.239307	−	0.524010i	0.0147563	−	0.0323118i	−0.902110	−	0.431505i	$-0.857983\pi$
$263$	0.239307	−	0.524010i	0.0147563	−	0.0323118i	0.916867	+	0.399194i	$0.130710\pi$
$264$	6.97680	+	3.37890i	0.429393	+	0.207957i
$265$	4.39549	+	30.5713i	0.270013	+	1.87798i
$266$	−37.1953	−	26.9674i	−2.28059	−	1.65348i
$267$	−7.09488	+	17.8752i	−0.434199	+	1.09394i
$268$	−2.48047	−	16.1817i	−0.151519	−	0.988454i
$269$		−	16.1436i		−	0.984291i	−0.870513	−	0.492145i	$-0.836213\pi$
$269$		−	16.1436i		−	0.984291i	0.870513	−	0.492145i	$-0.163787\pi$
$270$	−17.7105	−	3.40703i	−1.07782	−	0.207345i
$271$	26.9307	−	3.87205i	1.63592	−	0.235210i	0.737821	−	0.674997i	$-0.235855\pi$
$271$	26.9307	−	3.87205i	1.63592	−	0.235210i	0.898102	+	0.439786i	$0.144946\pi$
$272$	−10.7466	−	5.35783i	−0.651611	−	0.324866i
$273$	8.49614	+	8.85790i	0.514210	+	0.536104i
$274$	−27.4390	−	14.4431i	−1.65765	−	0.872541i
$275$	1.17211	+	1.11760i	0.0706808	+	0.0673940i
$276$	4.27520	+	1.32102i	0.257337	+	0.0795162i
$277$	−21.3785	+	6.27728i	−1.28451	+	0.377165i	−0.851561	−	0.524255i	$-0.824344\pi$
$277$	−21.3785	+	6.27728i	−1.28451	+	0.377165i	−0.432946	+	0.901420i	$0.642526\pi$
$278$	−5.64589	−	9.97436i	−0.338618	−	0.598222i
$279$	17.6507	−	22.7200i	1.05672	−	1.36021i
$280$	2.14682	+	30.7827i	0.128297	+	1.83962i
$281$	3.56489	+	18.4964i	0.212664	+	1.10340i	0.918618	+	0.395147i	$0.129306\pi$
$281$	3.56489	+	18.4964i	0.212664	+	1.10340i	−0.705954	+	0.708257i	$0.749482\pi$
$282$	−2.83340	+	14.2730i	−0.168726	+	0.849947i
$283$	1.75008	−	5.96023i	0.104032	−	0.354299i	−0.890982	−	0.454039i	$-0.849983\pi$
$283$	1.75008	−	5.96023i	0.104032	−	0.354299i	0.995014	+	0.0997396i	$0.0318010\pi$
$284$	−0.649676	+	4.02968i	−0.0385512	+	0.239118i
$285$	−30.9172	+	3.04452i	−1.83138	+	0.180342i
$286$	−3.36111	−	1.19547i	−0.198746	−	0.0706895i
$287$	8.13960	−	7.76110i	0.480466	−	0.458123i
$288$	15.1679	+	7.61156i	0.893775	+	0.448515i
$289$	4.63332	−	6.50659i	0.272549	−	0.382741i
$290$	−4.97995	−	2.93205i	−0.292433	−	0.172176i
$291$	−18.7649	−	17.7867i	−1.10002	−	1.04267i
$292$	5.78967	+	25.7755i	0.338815	+	1.50840i
$293$	−6.40700	+	5.55170i	−0.374301	+	0.324334i	−0.821615	−	0.570044i	$-0.806926\pi$
$293$	−6.40700	+	5.55170i	−0.374301	+	0.324334i	0.447313	+	0.894377i	$0.352381\pi$
$294$	−21.4421	−	22.7399i	−1.25053	−	1.32622i
$295$	4.46956	−	2.04118i	0.260228	−	0.118842i
$296$	5.28969	+	5.83961i	0.307457	+	0.339420i
$297$	−4.70974	+	6.73964i	−0.273287	+	0.391074i
$298$	20.2409	−	15.6403i	1.17253	−	0.906016i
$299$	−2.02198	−	0.389704i	−0.116934	−	0.0225372i
$300$	2.53125	+	2.48257i	0.146142	+	0.143331i
$301$	−5.72252	−	23.5885i	−0.329840	−	1.35962i
$302$	−4.62988	+	30.3620i	−0.266420	+	1.74714i
$303$	0.0453073	+	15.3218i	0.00260284	+	0.880212i
$304$	28.7767	+	5.14421i	1.65045	+	0.295041i
$305$	−7.51119	−	4.33659i	−0.430089	−	0.248312i
$306$	7.41501	−	10.3556i	0.423888	−	0.591992i
$307$	8.00507	−	2.77058i	0.456873	−	0.158125i	−0.0889314	−	0.996038i	$-0.528345\pi$
$307$	8.00507	−	2.77058i	0.456873	−	0.158125i	0.545805	+	0.837912i	$0.316224\pi$
$308$	13.2137	+	4.82708i	0.752921	+	0.275048i
$309$	9.77575	+	4.42955i	0.556123	+	0.251988i
$310$	−31.5473	+	10.6184i	−1.79176	+	0.603084i
$311$	27.3733	+	17.5918i	1.55220	+	0.997538i	0.984719	+	0.174150i	$0.0557178\pi$
$311$	27.3733	+	17.5918i	1.55220	+	0.997538i	0.567480	+	0.823387i	$0.307919\pi$
$312$	−7.32052	−	2.72053i	−0.414443	−	0.154020i
$313$	−0.626158	+	4.35503i	−0.0353926	+	0.246161i	−0.999836	−	0.0181300i	$-0.994229\pi$
$313$	−0.626158	+	4.35503i	−0.0353926	+	0.246161i	0.964443	+	0.264291i	$0.0851378\pi$
$314$	10.2509	+	16.2537i	0.578494	+	0.917251i
$315$	−32.5989	−	2.91837i	−1.83674	−	0.164432i
$316$	0.383695	−	22.5052i	0.0215846	−	1.26602i
$317$	13.7469	−	0.654848i	0.772105	−	0.0367799i	0.342168	−	0.939639i	$-0.388839\pi$
$317$	13.7469	−	0.654848i	0.772105	−	0.0367799i	0.429937	+	0.902859i	$0.358536\pi$
$318$	29.5280	+	8.84904i	1.65585	+	0.496229i
$319$	−2.14610	+	1.52823i	−0.120159	+	0.0855647i
$320$	−9.75682	−	17.0384i	−0.545423	−	0.952477i
$321$	−1.85992	+	0.364178i	−0.103811	+	0.0203264i
$322$	7.96019	+	1.60469i	0.443604	+	0.0894259i
$323$	7.17574	−	20.7329i	0.399269	−	1.15361i
$324$	−10.5174	+	14.6077i	−0.584301	+	0.811537i
$325$	−1.28252	−	1.00858i	−0.0711413	−	0.0559461i
$326$	−32.0983	−	3.34134i	−1.77776	−	0.185060i
$327$	3.82087	−	1.98412i	0.211294	−	0.109722i
$328$	−2.51269	+	6.70050i	−0.138740	+	0.369973i
$329$	−2.51018	+	26.2878i	−0.138390	+	1.44929i
$330$	8.85086	−	3.48631i	0.487224	−	0.191915i
$331$	12.1369	−	23.5422i	0.667102	−	1.29400i	−0.275892	−	0.961189i	$-0.588973\pi$
$331$	12.1369	−	23.5422i	0.667102	−	1.29400i	0.942994	−	0.332809i	$-0.107996\pi$
$332$	−16.4241	+	22.2516i	−0.901389	+	1.22122i
$333$	−7.00364	+	4.55972i	−0.383797	+	0.249871i
$334$	2.96855	−	7.23571i	0.162432	−	0.395921i
$335$	−16.6655	−	11.2176i	−0.910534	−	0.612884i
$336$	28.7757	+	10.9740i	1.56984	+	0.598679i
$337$	−3.33791	+	13.7591i	−0.181828	+	0.749503i	0.805735	+	0.592276i	$0.201771\pi$
$337$	−3.33791	+	13.7591i	−0.181828	+	0.749503i	−0.987562	+	0.157227i	$0.949745\pi$
$338$	−14.3437	−	3.60946i	−0.780192	−	0.196329i
$339$	−0.245008	+	0.213573i	−0.0133070	+	0.0115997i
$340$	−13.7716	+	5.24272i	−0.746867	+	0.284326i
$341$	−1.44249	+	15.1064i	−0.0781151	+	0.818058i
$342$	−10.2175	+	29.2742i	−0.552501	+	1.58297i
$343$	−19.3496	−	16.7665i	−1.04478	−	0.905307i
$344$	9.81224	+	11.9269i	0.529040	+	0.643058i
$345$	4.74722	−	2.75956i	0.255582	−	0.148570i
$346$	−8.40495	−	2.54593i	−0.451853	−	0.136870i
$347$	0.742642	−	2.14572i	0.0398671	−	0.115189i	−0.923311	−	0.384054i	$-0.874528\pi$
$347$	0.742642	−	2.14572i	0.0398671	−	0.115189i	0.963178	+	0.268866i	$0.0866488\pi$
$348$	−4.74492	+	3.27908i	−0.254355	+	0.175777i
$349$	25.1112	−	16.1380i	1.34417	−	0.863847i	0.346918	−	0.937895i	$-0.387228\pi$
$349$	25.1112	−	16.1380i	1.34417	−	0.863847i	0.997255	+	0.0740482i	$0.0235919\pi$
$350$	5.02347	+	4.02027i	0.268516	+	0.214892i
$351$	4.07792	−	7.21012i	0.217663	−	0.384848i
$352$	−8.90631	+	0.895238i	−0.474708	+	0.0477164i
$353$	28.2061	−	1.34362i	1.50126	−	0.0715137i	0.719237	−	0.694765i	$-0.244492\pi$
$353$	28.2061	−	1.34362i	1.50126	−	0.0715137i	0.782022	+	0.623251i	$0.214189\pi$
$354$	0.0272990	−	4.90393i	0.00145093	−	0.260641i
$355$	3.09626	+	3.93721i	0.164332	+	0.208966i
$356$	−3.83035	−	21.8740i	−0.203008	−	1.15932i
$357$	11.4976	−	20.0511i	0.608517	−	1.06122i
$358$	−15.3330	+	15.8088i	−0.810374	+	0.835519i
$359$	15.3546	+	9.86778i	0.810383	+	0.520802i	0.878989	−	0.476842i	$-0.158219\pi$
$359$	15.3546	+	9.86778i	0.810383	+	0.520802i	−0.0686059	+	0.997644i	$0.521855\pi$
$360$	19.4819	−	7.35845i	1.02679	−	0.387824i
$361$	−1.63729	+	34.3710i	−0.0861732	+	1.80900i
$362$	22.7497	−	0.889423i	1.19570	−	0.0467471i
$363$	−0.656734	+	14.7011i	−0.0344696	+	0.771606i
$364$	−13.7141	−	3.57561i	−0.718816	−	0.187413i
$365$	28.0750	+	16.2091i	1.46951	+	0.848425i
$366$	−7.07901	+	4.98178i	−0.370026	+	0.260402i
$367$	−3.61451	−	9.02861i	−0.188676	−	0.471290i	0.803626	−	0.595135i	$-0.202902\pi$
$367$	−3.61451	−	9.02861i	−0.188676	−	0.471290i	−0.992302	+	0.123846i	$0.960477\pi$
$368$	−5.00432	+	1.28583i	−0.260868	+	0.0670288i
$369$	−6.59566	−	3.75617i	−0.343356	−	0.195539i
$370$	9.66853	+	0.0824143i	0.502643	+	0.00428451i
$371$	54.9293	+	10.5868i	2.85179	+	0.549637i
$372$	−3.62355	+	33.0232i	−0.187872	+	1.71217i
$373$	−1.25645	−	2.17624i	−0.0650567	−	0.112682i	0.831662	−	0.555282i	$-0.187389\pi$
$373$	−1.25645	−	2.17624i	−0.0650567	−	0.112682i	−0.896719	+	0.442600i	$0.854056\pi$
$374$	−0.376839	+	6.70739i	−0.0194859	+	0.346831i
$375$	−16.8823	+	0.854245i	−0.871798	+	0.0441130i
$376$	−5.84404	−	15.7536i	−0.301383	−	0.812432i
$377$	2.00595	−	1.73817i	0.103312	−	0.0895201i
$378$	−16.3229	+	28.2947i	−0.839557	+	1.45532i
$379$	−2.62982	+	6.56897i	−0.135085	+	0.337425i	−0.980451	−	0.196761i	$-0.936958\pi$
$379$	−2.62982	+	6.56897i	−0.135085	+	0.337425i	0.845367	+	0.534186i	$0.179382\pi$
$380$	28.5718	−	21.6912i	1.46570	−	1.11273i
$381$	−3.80453	−	5.88165i	−0.194912	−	0.301326i
$382$	−3.28599	−	11.5545i	−0.168126	−	0.591180i
$383$	10.2112	−	9.73634i	0.521767	−	0.497504i	−0.382803	−	0.923830i	$-0.625041\pi$
$383$	10.2112	−	9.73634i	0.521767	−	0.497504i	0.904569	+	0.426327i	$0.140193\pi$
$384$	−19.5233	+	1.68494i	−0.996297	+	0.0859841i
$385$	15.3441	−	7.91044i	0.782008	−	0.403153i
$386$	−3.31321	+	0.773934i	−0.168638	+	0.0393922i
$387$	−14.1380	+	8.27443i	−0.718674	+	0.420613i
$388$	29.2148	+	6.14899i	1.48316	+	0.312168i
$389$	3.49142	+	18.1152i	0.177022	+	0.918477i	0.956430	+	0.291961i	$0.0943076\pi$
$389$	3.49142	+	18.1152i	0.177022	+	0.918477i	−0.779408	+	0.626516i	$0.784480\pi$
$390$	−8.54255	+	4.34397i	−0.432569	+	0.219965i
$391$	0.368608	+	3.86024i	0.0186413	+	0.195221i
$392$	34.8437	+	9.40252i	1.75987	+	0.474899i
$393$	−12.0038	−	1.11041i	−0.605512	−	0.0560130i
$394$	14.8581	−	7.50029i	0.748542	−	0.377859i
$395$	−19.9903	−	19.0607i	−1.00582	−	0.959049i
$396$	0.557303	−	9.47780i	0.0280055	−	0.476277i
$397$	6.13198	−	13.4272i	0.307755	−	0.673890i	−0.691048	−	0.722809i	$-0.742850\pi$
$397$	6.13198	−	13.4272i	0.307755	−	0.673890i	0.998803	+	0.0489195i	$0.0155778\pi$
$398$	−4.61617	−	5.42001i	−0.231388	−	0.271681i
$399$	−13.1040	+	54.7210i	−0.656018	+	2.73948i
$400$	−3.99122	−	0.911370i	−0.199561	−	0.0455685i
$401$			21.1231i			1.05484i	0.849606	+	0.527418i	$0.176840\pi$
$401$			21.1231i			1.05484i	−0.849606	+	0.527418i	$0.823160\pi$
$402$	−17.1516	+	10.3837i	−0.855446	+	0.517892i
$403$		−	15.2882i		−	0.761558i
$404$	−9.30998	−	15.0444i	−0.463189	−	0.748489i
$405$	4.43653	+	21.6384i	0.220453	+	1.07522i
$406$	−7.96852	+	6.78671i	−0.395471	+	0.336819i
$407$	1.83116	−	4.00967i	0.0907670	−	0.198752i
$408$	−1.03179	+	14.6707i	−0.0510812	+	0.726310i
$409$	7.50900	+	7.15981i	0.371296	+	0.354030i	0.852637	−	0.522503i	$-0.175002\pi$
$409$	7.50900	+	7.15981i	0.371296	+	0.354030i	−0.481341	+	0.876533i	$0.659850\pi$
$410$	3.95728	+	7.83940i	0.195436	+	0.387160i
$411$	−3.49813	+	37.8155i	−0.172550	+	1.86530i
$412$	−12.2949	+	1.55432i	−0.605728	+	0.0765757i
$413$	−0.845951	−	8.85920i	−0.0416265	−	0.435933i
$414$	−0.506697	−	5.45682i	−0.0249028	−	0.268188i
$415$	6.42290	+	33.3252i	0.315288	+	1.63587i
$416$	8.84629	−	1.75073i	0.433725	−	0.0858365i
$417$	−8.64462	+	11.0597i	−0.423329	+	0.541595i
$418$	−3.72006	−	15.9256i	−0.181954	−	0.778945i
$419$	−14.8409	+	7.65101i	−0.725025	+	0.373776i	−0.780896	−	0.624662i	$-0.785237\pi$
$419$	−14.8409	+	7.65101i	−0.725025	+	0.373776i	0.0558704	+	0.998438i	$0.482207\pi$
$420$	33.8320	−	16.8425i	1.65083	−	0.821830i
$421$	2.24519	−	2.14078i	0.109424	−	0.104335i	−0.633392	−	0.773831i	$-0.718338\pi$
$421$	2.24519	−	2.14078i	0.109424	−	0.104335i	0.742816	+	0.669495i	$0.233490\pi$
$422$	19.7824	−	5.62593i	0.962992	−	0.273866i
$423$	17.4796	−	3.47626i	0.849888	−	0.169022i
$424$	−34.3976	+	9.15153i	−1.67049	+	0.444437i
$425$	−1.14196	+	2.85247i	−0.0553930	+	0.138365i
$426$	4.86463	−	1.15151i	0.235692	−	0.0557909i
$427$	−11.8720	+	10.2871i	−0.574524	+	0.497828i
$428$	1.60936	−	1.48297i	0.0777913	−	0.0716823i
$429$	0.220796	+	4.36355i	0.0106601	+	0.210674i
$430$	18.9227	+	1.06313i	0.912533	+	0.0512685i
$431$	−8.04136	−	13.9281i	−0.387339	−	0.670891i	0.604752	−	0.796414i	$-0.293272\pi$
$431$	−8.04136	−	13.9281i	−0.387339	−	0.670891i	−0.992091	+	0.125523i	$0.959939\pi$
$432$	1.51228	−	20.7295i	0.0727594	−	0.997350i
$433$	12.3184	+	2.37419i	0.591987	+	0.114096i	0.476441	−	0.879206i	$-0.341926\pi$
$433$	12.3184	+	2.37419i	0.591987	+	0.114096i	0.115545	+	0.993302i	$0.463139\pi$
$434$	−0.513876	+	60.2860i	−0.0246668	+	2.89382i
$435$	−0.986556	+	7.00871i	−0.0473017	+	0.336042i
$436$	−2.55871	+	4.26232i	−0.122540	+	0.204128i
$437$	−3.50855	−	8.76393i	−0.167837	−	0.419236i
$438$	26.4597	−	18.6207i	1.26429	−	0.889733i
$439$	28.0149	+	16.1744i	1.33708	+	0.771962i	0.986373	−	0.164524i	$-0.0526089\pi$
$439$	28.0149	+	16.1744i	1.33708	+	0.771962i	0.350704	+	0.936486i	$0.385942\pi$
$440$	−6.59825	+	8.78176i	−0.314559	+	0.418654i
$441$	−15.6956	+	34.9135i	−0.747408	+	1.66255i
$442$	−0.264400	−	6.76285i	−0.0125762	−	0.321676i
$443$	−0.0875368	+	1.83762i	−0.00415900	+	0.0873082i	−0.999992	−	0.00388238i	$-0.998764\pi$
$443$	−0.0875368	+	1.83762i	−0.00415900	+	0.0873082i	0.995833	+	0.0911905i	$0.0290672\pi$
$444$	4.13204	−	8.72061i	0.196098	−	0.413862i
$445$	−22.9249	−	14.7330i	−1.08675	−	0.698409i
$446$	−3.07715	−	2.98454i	−0.145707	−	0.141322i
$447$	−27.1774	−	15.5839i	−1.28545	−	0.737094i
$448$	−34.9425	+	6.60632i	−1.65088	+	0.312119i
$449$	−24.1831	−	30.7513i	−1.14127	−	1.45124i	−0.872880	−	0.487934i	$-0.837751\pi$
$449$	−24.1831	−	30.7513i	−1.14127	−	1.45124i	−0.268391	−	0.963310i	$-0.586492\pi$
$450$	1.62438	−	4.02702i	0.0765741	−	0.189836i
$451$	3.99896	−	0.190494i	0.188304	−	0.00897001i
$452$	0.111860	−	0.358251i	0.00526144	−	0.0168507i
$453$	36.5289	−	8.97627i	1.71628	−	0.421742i
$454$	19.6401	−	24.5410i	0.921757	−	1.15177i
$455$	−14.6309	+	9.40269i	−0.685906	+	0.440805i
$456$	−7.65190	−	34.9755i	−0.358333	−	1.63788i
$457$	−4.36537	+	12.6129i	−0.204203	+	0.590007i	−0.999876	−	0.0157195i	$-0.994996\pi$
$457$	−4.36537	+	12.6129i	−0.204203	+	0.590007i	0.795673	+	0.605726i	$0.207117\pi$
$458$	5.01316	−	16.5501i	0.234249	−	0.773334i
$459$	−15.1914	−	3.54300i	−0.709074	−	0.165373i
$460$	−3.00102	+	5.58530i	−0.139923	+	0.260416i
$461$	−18.3728	−	15.9201i	−0.855705	−	0.741472i	0.111960	−	0.993713i	$-0.464287\pi$
$461$	−18.3728	−	15.9201i	−0.855705	−	0.741472i	−0.967665	+	0.252240i	$0.918833\pi$
$462$	−0.723996	−	17.2142i	−0.0336833	−	0.800879i
$463$	1.69102	−	17.7091i	0.0785883	−	0.823014i	−0.867142	−	0.498061i	$-0.834046\pi$
$463$	1.69102	−	17.7091i	0.0785883	−	0.823014i	0.945730	−	0.324953i	$-0.105348\pi$
$464$	2.68460	−	6.09495i	0.124629	−	0.282951i
$465$	26.7879	+	30.7308i	1.24226	+	1.42511i
$466$	2.35100	−	9.34265i	0.108908	−	0.432790i
$467$	−6.72083	+	27.7036i	−0.311003	+	1.28197i	0.574947	+	0.818190i	$0.305023\pi$
$467$	−6.72083	+	27.7036i	−0.311003	+	1.28197i	−0.885950	+	0.463781i	$0.846493\pi$
$468$	0.348720	+	9.55853i	0.0161196	+	0.441843i
$469$	−29.0723	+	21.8793i	−1.34243	+	1.01029i
$470$	−19.0762	−	7.82628i	−0.879921	−	0.361000i
$471$	13.5949	−	19.2114i	0.626421	−	0.885213i
$472$	2.93866	+	4.84045i	0.135263	+	0.222800i
$473$	3.95926	−	7.67989i	0.182047	−	0.353122i
$474$	−25.6491	+	10.1031i	−1.17810	+	0.464049i
$475$	0.711007	−	7.44600i	0.0326232	−	0.341646i
$476$	0.815297	+	26.6769i	0.0373691	+	1.22273i
$477$	−3.81088	−	37.5605i	−0.174488	−	1.71977i
$478$	−0.861781	+	8.27862i	−0.0394169	+	0.378655i
$479$	16.0649	+	12.6336i	0.734026	+	0.577244i	0.913655	−	0.406490i	$-0.133247\pi$
$479$	16.0649	+	12.6336i	0.734026	+	0.577244i	−0.179630	+	0.983734i	$0.557490\pi$
$480$	−14.7143	+	19.0196i	−0.671613	+	0.868121i
$481$	−1.45246	+	4.19661i	−0.0662264	+	0.191349i
$482$	−1.19199	+	5.91295i	−0.0542935	+	0.269327i
$483$	−1.91104	−	9.76000i	−0.0869551	−	0.444095i
$484$	−8.24404	−	14.8584i	−0.374729	−	0.675383i
$485$	29.8429	−	21.2511i	1.35510	−	0.964961i
$486$	21.4561	+	5.06315i	0.973269	+	0.229669i
$487$	−24.1260	+	1.14926i	−1.09325	+	0.0520780i	−0.586450	−	0.809985i	$-0.699475\pi$
$487$	−24.1260	+	1.14926i	−1.09325	+	0.0520780i	−0.506801	+	0.862063i	$0.669172\pi$
$488$	3.95095	−	9.18136i	0.178851	−	0.415621i
$489$	11.2475	+	37.8905i	0.508628	+	1.71347i
$490$	37.4597	−	23.6252i	1.69226	−	1.06728i
$491$	−0.0870910	+	0.605732i	−0.00393036	+	0.0273363i	−0.991692	−	0.128633i	$-0.958941\pi$
$491$	−0.0870910	+	0.605732i	−0.00393036	+	0.0273363i	0.987762	+	0.155969i	$0.0498501\pi$
$492$	8.75952	−	0.293636i	0.394910	−	0.0132382i
$493$	−4.20493	−	2.70234i	−0.189380	−	0.121707i
$494$	5.25590	+	15.6153i	0.236474	+	0.702566i
$495$	−8.08961	−	8.38429i	−0.363601	−	0.376846i
$496$	−16.4054	−	34.6758i	−0.736624	−	1.55699i
$497$	8.57306	−	2.96717i	0.384554	−	0.133096i
$498$	32.8725	+	8.16880i	1.47305	+	0.366053i
$499$	9.42747	+	5.44295i	0.422031	+	0.243660i	0.695946	−	0.718094i	$-0.254985\pi$
$499$	9.42747	+	5.44295i	0.422031	+	0.243660i	−0.273915	+	0.961754i	$0.588319\pi$
$500$	16.0904	−	11.0494i	0.719583	−	0.494145i
$501$	−9.57867	+	0.0283247i	−0.427943	+	0.00126545i
$502$	38.1959	+	5.82446i	1.70477	+	0.259958i
$503$	−8.53736	−	35.1915i	−0.380662	−	1.56911i	−0.763821	−	0.645428i	$-0.776679\pi$
$503$	−8.53736	−	35.1915i	−0.380662	−	1.56911i	0.383159	−	0.923683i	$-0.374836\pi$
$504$	−1.05383	−	37.7040i	−0.0469411	−	1.67947i
$505$	−21.3184	−	4.10878i	−0.948655	−	0.182838i
$506$	1.76742	+	2.28732i	0.0785714	+	0.101684i
$507$	2.63104	+	17.9229i	0.116849	+	0.795984i
$508$	7.29924	+	3.48503i	0.323851	+	0.154623i
$509$	−17.7831	+	8.12128i	−0.788223	+	0.359969i	−0.768511	−	0.639836i	$-0.779002\pi$
$509$	−17.7831	+	8.12128i	−0.788223	+	0.359969i	−0.0197118	+	0.999806i	$0.506275\pi$
$510$	12.3813	+	13.1307i	0.548253	+	0.581438i
$511$	44.3746	−	38.4508i	1.96302	−	1.70096i
$512$	18.1860	−	13.4637i	0.803714	−	0.595015i
$513$	37.9140	−	2.14332i	1.67395	−	0.0946301i
$514$	−9.07604	+	15.4152i	−0.400327	+	0.679936i
$515$	−8.82133	+	12.3878i	−0.388714	+	0.545873i
$516$	8.90364	−	16.6890i	0.391961	−	0.734693i
$517$	−6.80328	+	6.48691i	−0.299208	+	0.285294i
$518$	5.86856	−	16.4997i	0.257850	−	0.724956i
$519$	1.05406	+	10.7040i	0.0462682	+	0.469855i
$520$	5.77632	−	9.43898i	0.253308	−	0.413927i
$521$	−9.42964	+	32.1144i	−0.413120	+	1.40696i	0.445931	+	0.895067i	$0.352873\pi$
$521$	−9.42964	+	32.1144i	−0.413120	+	1.40696i	−0.859051	+	0.511890i	$0.828945\pi$
$522$	5.93262	+	3.83458i	0.259664	+	0.167835i
$523$	6.98021	+	36.2168i	0.305223	+	1.58365i	0.733299	+	0.679906i	$0.237979\pi$
$523$	6.98021	+	36.2168i	0.305223	+	1.58365i	−0.428076	+	0.903743i	$0.640808\pi$
$524$	12.4795	−	6.16666i	0.545169	−	0.269392i
$525$	2.19773	−	7.56748i	0.0959166	−	0.330272i
$526$	0.708983	−	0.401313i	0.0309131	−	0.0174981i
$527$	−27.6240	+	8.11113i	−1.20332	+	0.353327i
$528$	5.18322	+	9.66022i	0.225571	+	0.420407i
$529$	−15.4383	−	14.7204i	−0.671231	−	0.640017i
$530$	−20.3451	+	38.6514i	−0.883733	+	1.67891i
$531$	−5.56262	+	2.26520i	−0.241397	+	0.0983012i
$532$	−20.2008	−	61.7527i	−0.875815	−	2.67732i
$533$	−3.99226	+	0.574001i	−0.172924	+	0.0248627i
$534$	−22.9617	+	14.5766i	−0.993650	+	0.630792i
$535$		−	2.68552i		−	0.116105i
$536$	10.5926	−	20.5863i	0.457532	−	0.889193i
$537$	25.0701	+	9.95065i	1.08186	+	0.429402i
$538$	13.4010	−	18.4836i	0.577758	−	0.796884i
$539$	−2.87341	−	19.9850i	−0.123767	−	0.860815i
$540$	−17.4494	−	18.6026i	−0.750902	−	0.800528i
$541$	10.2530	−	22.4510i	0.440812	−	0.965243i	−0.550637	−	0.834745i	$-0.685615\pi$
$541$	10.2530	−	22.4510i	0.440812	−	0.965243i	0.991449	−	0.130498i	$-0.0416577\pi$
$542$	34.0486	+	17.9222i	1.46251	+	0.769826i
$543$	−11.6583	−	25.3297i	−0.500307	−	1.08700i
$544$	−7.85676	−	15.0554i	−0.336856	−	0.645494i
$545$	1.71872	+	5.85343i	0.0736220	+	0.250733i
$546$	2.37459	+	17.1946i	0.101623	+	0.735862i
$547$	−1.94136	−	20.3308i	−0.0830066	−	0.869284i	−0.937076	−	0.349125i	$-0.886479\pi$
$547$	−1.94136	−	20.3308i	−0.0830066	−	0.869284i	0.854069	−	0.520159i	$-0.174127\pi$
$548$	−19.4268	−	39.3141i	−0.829872	−	1.67942i
$549$	8.95245	+	5.67886i	0.382081	+	0.242368i
$550$	0.414268	+	2.25258i	0.0176645	+	0.0960504i
$551$	11.6753	+	3.42817i	0.497383	+	0.146045i
$552$	3.79829	+	5.06141i	0.161666	+	0.215428i
$553$	−44.4660	+	22.9238i	−1.89089	+	0.974821i
$554$	−29.6881	−	10.5594i	−1.26133	−	0.448625i
$555$	−4.43369	−	10.9806i	−0.188199	−	0.466100i
$556$	1.81559	−	16.1069i	0.0769980	−	0.683084i
$557$	−6.08460	−	4.33282i	−0.257813	−	0.183588i	0.443841	−	0.896105i	$-0.353615\pi$
$557$	−6.08460	−	4.33282i	−0.257813	−	0.183588i	−0.701654	+	0.712518i	$0.747555\pi$
$558$	39.0693	−	11.3611i	1.65394	−	0.480955i
$559$	−3.23523	+	8.08122i	−0.136836	+	0.341799i
$560$	−23.0951	+	37.0267i	−0.975946	+	1.56466i
$561$	7.76729	−	2.71403i	0.327935	−	0.114586i
$562$	−11.2725	+	24.1367i	−0.475502	+	1.01815i
$563$	3.87302	+	8.48074i	0.163228	+	0.357421i	0.973518	−	0.228609i	$-0.0734176\pi$
$563$	3.87302	+	8.48074i	0.163228	+	0.357421i	−0.810290	+	0.586029i	$0.800690\pi$
$564$	−15.0923	+	13.9899i	−0.635502	+	0.589080i
$565$	−0.230278	−	0.398853i	−0.00968786	−	0.0167799i
$566$	6.95143	−	5.37140i	0.292190	−	0.225777i
$567$	39.6641	+	5.22477i	1.66574	+	0.219420i
$568$	−4.08894	+	4.07448i	−0.171568	+	0.170961i
$569$	18.1394	−	4.40057i	0.760443	−	0.184481i	0.163256	−	0.986584i	$-0.447800\pi$
$569$	18.1394	−	4.40057i	0.760443	−	0.184481i	0.597187	+	0.802102i	$0.296285\pi$
$570$	−37.9260	−	22.1790i	−1.58854	−	0.928975i
$571$	−4.37590	−	10.9305i	−0.183126	−	0.457426i	0.808191	−	0.588920i	$-0.200447\pi$
$571$	−4.37590	−	10.9305i	−0.183126	−	0.457426i	−0.991317	+	0.131494i	$0.958023\pi$
$572$	−2.85593	−	4.15885i	−0.119412	−	0.173890i
$573$	−11.5378	+	9.12880i	−0.482000	+	0.381361i
$574$	15.7620	−	2.12927i	0.657895	−	0.0888742i
$575$	0.432403	+	1.24935i	0.0180325	+	0.0521014i
$576$	11.0480	+	21.3059i	0.460333	+	0.887746i
$577$	1.53509	−	32.2256i	0.0639068	−	1.34157i	−0.708171	−	0.706041i	$-0.750480\pi$
$577$	1.53509	−	32.2256i	0.0639068	−	1.34157i	0.772078	−	0.635528i	$-0.219217\pi$
$578$	10.7061	−	3.60354i	0.445317	−	0.149888i
$579$	2.42717	+	3.38724i	0.100870	+	0.140769i
$580$	−3.26786	−	7.49098i	−0.135690	−	0.311046i
$581$	60.8437	+	8.74801i	2.52422	+	0.362928i
$582$	−6.71993	−	35.9418i	−0.278550	−	1.48984i
$583$	12.3095	+	15.6528i	0.509806	+	0.648271i
$584$	−14.7677	+	34.3178i	−0.611092	+	1.42008i
$585$	8.91588	+	7.63380i	0.368626	+	0.315619i
$586$	−11.9442	+	1.03788i	−0.493412	+	0.0428744i
$587$	−23.2764	−	32.6872i	−0.960721	−	1.34914i	−0.936964	−	0.349426i	$-0.886377\pi$
$587$	−23.2764	−	32.6872i	−0.960721	−	1.34914i	−0.0237566	−	0.999718i	$-0.507563\pi$
$588$	−5.67339	−	43.8354i	−0.233967	−	1.80774i
$589$	58.9610	−	37.8919i	2.42945	−	1.56131i
$590$	6.81184	+	1.37319i	0.280439	+	0.0565335i
$591$	−15.4450	−	13.3034i	−0.635322	−	0.547229i
$592$	1.20890	+	11.0771i	0.0496854	+	0.455266i
$593$	−19.5263	+	24.8298i	−0.801851	+	1.01964i	0.197376	+	0.980328i	$0.436758\pi$
$593$	−19.5263	+	24.8298i	−0.801851	+	1.01964i	−0.999227	+	0.0393085i	$0.987484\pi$
$594$	−10.9871	+	3.80694i	−0.450805	+	0.156201i
$595$	24.7520	+	21.4477i	1.01473	+	0.879271i
$596$	36.1581	−	1.10506i	1.48109	−	0.0452649i
$597$	−3.97254	+	7.76191i	−0.162585	+	0.317674i
$598$	−1.99157	−	2.12466i	−0.0814412	−	0.0868840i
$599$	−5.23936	−	2.70108i	−0.214074	−	0.110363i	0.347855	−	0.937548i	$-0.386910\pi$
$599$	−5.23936	−	2.70108i	−0.214074	−	0.110363i	−0.561929	+	0.827185i	$0.689941\pi$
$600$	0.837342	+	4.94364i	0.0341844	+	0.201823i
$601$	7.14052	−	29.4336i	0.291268	−	1.20062i	−0.618593	−	0.785711i	$-0.712297\pi$
$601$	7.14052	−	29.4336i	0.291268	−	1.20062i	0.909862	−	0.414912i	$-0.136188\pi$
$602$	13.0292	−	31.7580i	0.531029	−	1.29436i
$603$	19.7820	+	14.5489i	0.805586	+	0.592478i
$604$	−30.5049	+	30.9197i	−1.24123	+	1.25810i
$605$	−20.2641	−	4.91602i	−0.823853	−	0.199865i
$606$	−12.6669	+	17.5803i	−0.514559	+	0.714149i
$607$	−6.84357	+	13.2747i	−0.277772	+	0.538802i	−0.985911	−	0.167271i	$-0.946505\pi$
$607$	−6.84357	+	13.2747i	−0.277772	+	0.538802i	0.708139	+	0.706073i	$0.249535\pi$
$608$	28.6776	+	29.7778i	1.16303	+	1.20765i
$609$	11.4116	+	5.84043i	0.462421	+	0.236666i
$610$	−5.00008	−	11.2003i	−0.202447	−	0.453487i
$611$	6.20171	−	7.15715i	0.250894	−	0.289547i
$612$	17.0862	−	5.70137i	0.690667	−	0.230464i
$613$	7.54357	+	5.93233i	0.304682	+	0.239605i	0.758780	−	0.651347i	$-0.225796\pi$
$613$	7.54357	+	5.93233i	0.304682	+	0.239605i	−0.454098	+	0.890952i	$0.650038\pi$
$614$	11.4653	+	3.47294i	0.462702	+	0.140156i
$615$	7.01909	−	8.14903i	0.283037	−	0.328600i
$616$	11.1220	+	16.4957i	0.448119	+	0.664629i
$617$	20.2603	+	31.5256i	0.815648	+	1.26917i	0.960099	+	0.279662i	$0.0902223\pi$
$617$	20.2603	+	31.5256i	0.815648	+	1.26917i	−0.144450	+	0.989512i	$0.546141\pi$
$618$	7.51572	+	13.1866i	0.302327	+	0.530443i
$619$	−10.6273	+	7.56766i	−0.427147	+	0.304170i	−0.773338	−	0.633994i	$-0.781414\pi$
$619$	−10.6273	+	7.56766i	−0.427147	+	0.304170i	0.346191	+	0.938164i	$0.387475\pi$
$620$	−44.9345	−	14.0303i	−1.80461	−	0.563470i
$621$	−5.93832	+	3.12840i	−0.238296	+	0.125538i
$622$	16.7379	+	42.8647i	0.671130	+	1.71872i
$623$	−38.7971	+	30.5104i	−1.55437	+	1.22237i
$624$	−6.12329	−	9.19174i	−0.245128	−	0.367964i
$625$	4.13708	−	28.7740i	0.165483	−	1.15096i
$626$	−4.33209	+	4.46651i	−0.173145	+	0.178517i
$627$	−16.2814	+	11.6666i	−0.650216	+	0.465921i
$628$	−1.75563	+	27.1192i	−0.0700573	+	1.08217i
$629$	8.35339	+	0.397921i	0.333072	+	0.0158662i
$630$	−34.9015	−	30.4022i	−1.39051	−	1.21125i
$631$	13.8393	−	4.78984i	0.550935	−	0.190680i	−0.0373964	−	0.999301i	$-0.511906\pi$
$631$	13.8393	−	4.78984i	0.550935	−	0.190680i	0.588331	+	0.808620i	$0.299785\pi$
$632$	19.1212	−	25.4489i	0.760601	−	1.01230i
$633$	−15.6294	−	19.7539i	−0.621211	−	0.785145i
$634$	16.2832	+	10.6618i	0.646687	+	0.423433i
$635$	9.21475	−	3.68903i	0.365676	−	0.146395i
$636$	26.4624	+	34.6433i	1.04930	+	1.37370i
$637$	4.79555	+	19.7675i	0.190007	+	0.783218i
$638$	−3.72579	−	0.0317585i	−0.147506	−	0.00125733i
$639$	−3.58088	−	4.96621i	−0.141657	−	0.196460i
$640$	2.97275	−	27.6074i	0.117508	−	1.09128i
$641$	−19.7543	+	11.4052i	−0.780249	+	0.450477i	−0.836519	−	0.547938i	$-0.815413\pi$
$641$	−19.7543	+	11.4052i	−0.780249	+	0.450477i	0.0562692	+	0.998416i	$0.482079\pi$
$642$	−2.43183	−	1.12698i	−0.0959766	−	0.0444784i
$643$	22.3515	−	10.2076i	0.881459	−	0.402549i	0.0773314	−	0.997005i	$-0.475360\pi$
$643$	22.3515	−	10.2076i	0.881459	−	0.402549i	0.804128	+	0.594457i	$0.202633\pi$
$644$	7.78195	+	8.44516i	0.306652	+	0.332786i
$645$	−7.65674	−	21.9128i	−0.301484	−	0.862817i
$646$	25.4266	−	17.7815i	1.00039	−	0.699604i
$647$	20.2642	+	8.11255i	0.796667	+	0.318937i	0.734046	−	0.679100i	$-0.237630\pi$
$647$	20.2642	+	8.11255i	0.796667	+	0.318937i	0.0626210	+	0.998037i	$0.480054\pi$
$648$	−24.1679	+	7.99441i	−0.949406	+	0.314050i
$649$	1.83760	−	2.58055i	0.0721321	−	0.101295i
$650$	−0.631181	−	2.21941i	−0.0247569	−	0.0870526i
$651$	68.4671	−	27.6453i	2.68344	−	1.08350i
$652$	−33.9772	−	30.4709i	−1.33065	−	1.19333i
$653$	−10.2140	−	19.8123i	−0.399703	−	0.775315i	0.599992	−	0.800006i	$-0.295170\pi$
$653$	−10.2140	−	19.8123i	−0.399703	−	0.775315i	−0.999695	+	0.0246904i	$0.992140\pi$
$654$	6.02175	+	0.900039i	0.235469	+	0.0351943i
$655$	4.81249	−	16.3898i	0.188039	−	0.640403i
$656$	−8.43908	+	5.58592i	−0.329491	+	0.218094i
$657$	−33.4621	−	21.2262i	−1.30548	−	0.828114i
$658$	−24.6958	+	28.0144i	−0.962744	+	1.09212i
$659$	−11.4637	+	1.09466i	−0.446564	+	0.0426417i	−0.315916	−	0.948787i	$-0.602312\pi$
$659$	−11.4637	+	1.09466i	−0.446564	+	0.0426417i	−0.130648	+	0.991429i	$0.541706\pi$
$660$	13.0278	+	3.35557i	0.507107	+	0.130615i
$661$	−33.1532	+	9.73466i	−1.28951	+	0.378634i	−0.853399	−	0.521259i	$-0.825463\pi$
$661$	−33.1532	+	9.73466i	−1.28951	+	0.378634i	−0.436111	+	0.899893i	$0.643645\pi$
$662$	33.4388	−	16.8797i	1.29964	−	0.656048i
$663$	−7.52981	+	3.46569i	−0.292433	+	0.134596i
$664$	−37.2761	+	11.8432i	−1.44659	+	0.459603i
$665$	−72.5256	−	33.1213i	−2.81242	−	1.28439i
$666$	−11.8039	−	0.593168i	−0.457392	−	0.0229848i
$667$	−2.12882	+	0.306078i	−0.0824282	+	0.0118514i
$668$	9.40530	−	5.82030i	0.363902	−	0.225194i
$669$	−1.93688	+	4.87986i	−0.0748840	+	0.188666i
$670$	−9.76927	−	26.6779i	−0.377420	−	1.03066i
$671$	−5.59190			−0.215873
$672$	23.8371	+	36.4517i	0.919535	+	1.40616i
$673$	−3.69434	−	25.6947i	−0.142407	−	0.990459i	−0.928230	−	0.372008i	$-0.878669\pi$
$673$	−3.69434	−	25.6947i	−0.142407	−	0.990459i	0.785823	−	0.618451i	$-0.212240\pi$
$674$	−15.2433	+	12.9826i	−0.587151	+	0.500071i
$675$	−5.31799	+	0.0471780i	−0.204690	+	0.00181588i
$676$	−13.4265	−	16.0395i	−0.516404	−	0.616904i
$677$	18.3757	−	19.2718i	0.706234	−	0.740677i	−0.268687	−	0.963228i	$-0.586590\pi$
$677$	18.3757	−	19.2718i	0.706234	−	0.740677i	0.974921	+	0.222551i	$0.0714382\pi$
$678$	−0.457812	+	0.0411453i	−0.0175822	+	0.00158018i
$679$	−18.6945	−	63.6676i	−0.717429	−	2.44334i
$680$	−20.1198	−	5.42930i	−0.771559	−	0.208204i
$681$	−36.9692	−	10.7365i	−1.41666	−	0.411424i
$682$	−14.1916	+	16.0987i	−0.543425	+	0.616450i
$683$	−3.51831	+	0.678099i	−0.134624	+	0.0259467i	−0.256118	−	0.966645i	$-0.582444\pi$
$683$	−3.51831	+	0.678099i	−0.134624	+	0.0259467i	0.121494	+	0.992592i	$0.461232\pi$
$684$	−35.9995	+	25.0358i	−1.37648	+	0.957269i
$685$	−51.6328	−	15.1608i	−1.97279	−	0.579263i
$686$	−8.23621	−	35.2592i	−0.314460	−	1.34620i
$687$	−21.0772	+	2.07554i	−0.804144	+	0.0791867i
$688$	1.33381	+	21.8010i	0.0508509	+	0.831157i
$689$	−13.8440	−	14.5191i	−0.527413	−	0.553135i
$690$	7.72608	+	0.781175i	0.294127	+	0.0297388i
$691$	−2.01761	−	1.43673i	−0.0767536	−	0.0546560i	0.541036	−	0.840999i	$-0.318032\pi$
$691$	−2.01761	−	1.43673i	−0.0767536	−	0.0546560i	−0.617790	+	0.786343i	$0.711972\pi$
$692$	−7.50984	−	9.89203i	−0.285481	−	0.376039i
$693$	−19.1426	+	8.87933i	−0.727167	+	0.337298i
$694$	2.63148	−	1.84027i	0.0998898	−	0.0698557i
$695$	−13.0256	−	15.0323i	−0.494087	−	0.570207i
$696$	−8.15471	−	0.184444i	−0.309103	−	0.00699133i
$697$	3.15525	+	6.90903i	0.119514	+	0.261698i
$698$	42.1475	+	2.36796i	1.59531	+	0.0896285i
$699$	−11.6740	+	1.71371i	−0.441550	+	0.0648186i
$700$	2.41434	+	8.77306i	0.0912536	+	0.331591i
$701$	−3.44292	+	17.8636i	−0.130037	+	0.674697i	0.857142	+	0.515080i	$0.172238\pi$
$701$	−3.44292	+	17.8636i	−0.130037	+	0.674697i	−0.987179	+	0.159617i	$0.948974\pi$
$702$	10.6542	−	4.87010i	0.402118	−	0.183810i
$703$	−19.7847	+	4.79973i	−0.746196	+	0.181025i
$704$	−10.9404	−	6.36824i	−0.412333	−	0.240012i
$705$	0.0746752	+	25.2532i	0.00281243	+	0.951091i
$706$	33.4099	+	21.8759i	1.25740	+	0.823309i
$707$	−19.6612	+	34.0542i	−0.739436	+	1.28074i
$708$	4.10207	−	5.59209i	0.154165	−	0.210164i
$709$	7.28474	+	21.0479i	0.273584	+	0.790470i	0.995172	+	0.0981469i	$0.0312915\pi$
$709$	7.28474	+	21.0479i	0.273584	+	0.790470i	−0.721588	+	0.692323i	$0.756587\pi$
$710$	0.276728	+	7.07816i	0.0103854	+	0.265639i
$711$	23.4431	+	24.2970i	0.879184	+	0.911210i
$712$	13.7724	−	28.2243i	0.516141	−	1.05775i
$713$	−6.69736	+	10.4213i	−0.250818	+	0.390281i
$714$	29.8089	−	13.4132i	1.11557	−	0.501977i
$715$	−6.12795	−	0.881066i	−0.229172	−	0.0329500i
$716$	−30.6786	+	5.37211i	−1.14651	+	0.200765i
$717$	9.77253	−	2.90089i	0.364962	−	0.108336i
$718$	9.38884	+	24.0442i	0.350388	+	0.897320i
$719$	1.78568	+	37.4860i	0.0665946	+	1.39799i	0.746838	+	0.665007i	$0.231571\pi$
$719$	1.78568	+	37.4860i	0.0665946	+	1.39799i	−0.680243	+	0.732987i	$0.738126\pi$
$720$	28.4142	+	7.74713i	1.05893	+	0.288718i
$721$	15.9772	+	22.4368i	0.595022	+	0.835592i
$722$	−30.4064	+	37.9939i	−1.13161	+	1.41399i
$723$	7.24987	−	1.41954i	0.269625	−	0.0527934i
$724$	26.7856	+	17.8665i	0.995479	+	0.664003i
$725$	−1.61038	−	0.557359i	−0.0598081	−	0.0206998i
$726$	−12.9555	+	16.2868i	−0.480823	+	0.604461i
$727$	15.2496	−	19.3915i	0.565577	−	0.719189i	−0.416190	−	0.909277i	$-0.636635\pi$
$727$	15.2496	−	19.3915i	0.565577	−	0.719189i	0.981767	+	0.190088i	$0.0608774\pi$
$728$	−12.7338	−	15.4782i	−0.471947	−	0.573660i
$729$	−4.31604	−	26.6528i	−0.159853	−	0.987141i
$730$	18.6891	+	41.8641i	0.691715	+	1.54946i
$731$	16.3183	+	1.55821i	0.603554	+	0.0576324i
$732$	−12.2406	−	0.172487i	−0.452424	−	0.00637529i
$733$	25.2480	+	13.0163i	0.932557	+	0.480767i	0.856391	−	0.516329i	$-0.172702\pi$
$733$	25.2480	+	13.0163i	0.932557	+	0.480767i	0.0761665	+	0.997095i	$0.475732\pi$
$734$	3.35634	−	13.3378i	0.123885	−	0.492306i
$735$	−44.2762	−	31.3320i	−1.63315	−	1.15570i
$736$	−6.79709	−	2.68194i	−0.250544	−	0.0988575i
$737$	−12.9215	−	0.891017i	−0.475970	−	0.0328210i
$738$	−4.43365	−	9.77578i	−0.163205	−	0.359851i
$739$	−23.4151	−	5.68044i	−0.861338	−	0.208958i	−0.219325	−	0.975652i	$-0.570386\pi$
$739$	−23.4151	−	5.68044i	−0.861338	−	0.208958i	−0.642013	+	0.766693i	$0.721901\pi$
$740$	11.0016	+	8.12034i	0.404426	+	0.298510i
$741$	15.2111	−	13.2595i	0.558796	−	0.487100i
$742$	54.1031	+	57.7189i	1.98619	+	2.11893i
$743$	−39.3921	−	3.76149i	−1.44515	−	0.137996i	−0.657194	−	0.753721i	$-0.728257\pi$
$743$	−39.3921	−	3.76149i	−1.44515	−	0.137996i	−0.787961	+	0.615726i	$0.788863\pi$
$744$	−31.5618	+	34.8019i	−1.15711	+	1.27590i
$745$	29.0704	−	33.5490i	1.06506	−	1.22914i
$746$	0.367951	−	3.53469i	0.0134716	−	0.129414i
$747$	−6.14665	−	41.0270i	−0.224894	−	1.50110i
$748$	−5.99936	+	7.36681i	−0.219358	+	0.269357i
$749$	−4.59649	−	1.59086i	−0.167952	−	0.0581288i
$750$	−20.0385	−	13.0362i	−0.731703	−	0.476013i
$751$	11.1315	+	17.3210i	0.406196	+	0.632053i	0.982735	−	0.185016i	$-0.0592337\pi$
$751$	11.1315	+	17.3210i	0.406196	+	0.632053i	−0.576540	+	0.817069i	$0.695597\pi$
$752$	6.38618	−	22.8884i	0.232880	−	0.834653i
$753$	−11.2923	−	45.9539i	−0.411514	−	1.67465i
$754$	3.73959	−	0.324947i	0.136188	−	0.0118339i
$755$	2.53614	+	53.2402i	0.0922996	+	1.93761i
$756$	−42.1767	+	18.8462i	−1.53395	+	0.685430i
$757$	17.0662	−	13.4210i	0.620283	−	0.487796i	−0.257868	−	0.966180i	$-0.583020\pi$
$757$	17.0662	−	13.4210i	0.620283	−	0.487796i	0.878150	+	0.478385i	$0.158778\pi$
$758$	−8.46400	+	5.33809i	−0.307426	+	0.193888i
$759$	1.76105	−	3.07117i	0.0639221	−	0.111476i
$760$	50.7195	−	1.11746i	1.83979	−	0.0405345i
$761$	−13.7042	+	21.3242i	−0.496777	+	0.773001i	−0.995600	−	0.0937032i	$-0.970130\pi$
$761$	−13.7042	+	21.3242i	−0.496777	+	0.773001i	0.498823	+	0.866704i	$0.333766\pi$
$762$	0.526441	−	9.89239i	0.0190709	−	0.358363i
$763$	11.0368	+	0.525747i	0.399559	+	0.0190333i
$764$	5.82925	−	15.9571i	0.210895	−	0.577307i
$765$	9.06310	−	20.1601i	0.327677	−	0.728890i
$766$	19.7736	−	2.67119i	0.714448	−	0.0965139i
$767$	−1.59578	+	2.76398i	−0.0576203	+	0.0998014i
$768$	−23.7519	−	14.2774i	−0.857075	−	0.515192i
$769$	8.01617	−	3.20919i	0.289071	−	0.115726i	−0.222595	−	0.974911i	$-0.571453\pi$
$769$	8.01617	−	3.20919i	0.289071	−	0.115726i	0.511666	+	0.859185i	$0.329029\pi$
$770$	24.1348	+	3.68030i	0.869758	+	0.132629i
$771$	21.6951	+	3.05384i	0.781331	+	0.109981i
$772$	−4.43592	−	1.86423i	−0.159652	−	0.0670949i
$773$	3.44943	−	17.8973i	0.124067	−	0.643722i	−0.865646	−	0.500657i	$-0.833092\pi$
$773$	3.44943	−	17.8973i	0.124067	−	0.643722i	0.989713	−	0.143066i	$-0.0456960\pi$
$774$	−23.0560	−	2.26231i	−0.828731	−	0.0813172i
$775$	−8.50042	+	4.90772i	−0.305344	+	0.176291i
$776$	28.3452	+	31.2919i	1.01753	+	1.12331i
$777$	−21.4207	+	1.08389i	−0.768463	+	0.0388843i
$778$	−11.0402	+	23.6393i	−0.395809	+	0.847509i
$779$	−12.1086	−	13.9741i	−0.433835	−	0.500673i
$780$	−13.3868	−	2.11766i	−0.479324	−	0.0758243i
$781$	2.99805	+	1.20024i	0.107279	+	0.0429479i
$782$	−2.78240	+	4.72577i	−0.0994985	+	0.168993i
$783$	1.56190	−	8.50943i	0.0558177	−	0.304102i
$784$	32.0891	+	39.6896i	1.14604	+	1.41749i
$785$	23.0132	+	24.1356i	0.821377	+	0.861435i
$786$	−12.8220	−	11.2359i	−0.457345	−	0.400771i
$787$	−14.0607	−	27.2739i	−0.501209	−	0.972210i	−0.994735	−	0.102479i	$-0.967323\pi$
$787$	−14.0607	−	27.2739i	−0.501209	−	0.972210i	0.493526	−	0.869731i	$-0.335708\pi$
$788$	23.2379	+	3.74648i	0.827817	+	0.133463i
$789$	−0.786128	−	0.614464i	−0.0279869	−	0.0218755i
$790$	−7.06535	−	38.4178i	−0.251374	−	1.36684i
$791$	−0.819085	+	0.157866i	−0.0291233	+	0.00561306i
$792$	8.50573	−	10.3890i	0.302238	−	0.369156i
$793$	5.60804	−	0.535503i	0.199147	−	0.0190163i
$794$	18.1669	−	10.2832i	0.644718	−	0.364937i
$795$	53.2682	+	4.92759i	1.88923	+	0.174763i
$796$	−0.786061	−	10.0376i	−0.0278612	−	0.355773i
$797$	−20.5397	+	21.5414i	−0.727553	+	0.763036i	−0.978785	−	0.204891i	$-0.934316\pi$
$797$	−20.5397	+	21.5414i	−0.727553	+	0.763036i	0.251232	+	0.967927i	$0.419164\pi$
$798$	−60.4280	+	51.7750i	−2.13913	+	1.83282i
$799$	−16.2225	−	7.40856i	−0.573910	−	0.262096i
$800$	−3.81321	−	4.35664i	−0.134817	−	0.154031i
$801$	27.2476	+	19.1611i	0.962745	+	0.677023i
$802$	−17.5346	+	24.1849i	−0.619167	+	0.853998i
$803$	20.9012			0.737587
$804$	−28.2574	−	2.34899i	−0.996563	−	0.0828426i
$805$	14.0923			0.496689
$806$	12.6909	−	17.5042i	0.447019	−	0.616559i
$807$	−27.1927	−	6.51179i	−0.957227	−	0.229226i
$808$	1.82914	−	24.9535i	0.0643490	−	0.877861i
$809$	51.3302	+	23.4417i	1.80468	+	0.824168i	0.954841	+	0.297119i	$0.0960257\pi$
$809$	51.3302	+	23.4417i	1.80468	+	0.824168i	0.849835	+	0.527049i	$0.176702\pi$
$810$	−12.8827	+	28.4577i	−0.452653	+	0.999902i
$811$	−24.4455	+	25.6377i	−0.858399	+	0.900263i	−0.995920	−	0.0902359i	$-0.971238\pi$
$811$	−24.4455	+	25.6377i	−0.858399	+	0.900263i	0.137521	+	0.990499i	$0.456086\pi$
$812$	−14.7573	+	1.15567i	−0.517880	+	0.0405561i
$813$	4.34078	−	46.9247i	0.152238	−	1.64572i
$814$	5.42506	−	3.07081i	0.190148	−	0.107632i
$815$	−55.7519	+	5.32367i	−1.95291	+	0.186480i
$816$	−13.3597	+	15.9408i	−0.467684	+	0.558038i
$817$	−39.1850	+	7.55228i	−1.37091	+	0.264221i
$818$	2.65397	+	14.4310i	0.0927938	+	0.504566i
$819$	18.3475	−	10.7381i	0.641115	−	0.375221i
$820$	−1.97670	+	12.2607i	−0.0690295	+	0.428163i
$821$	−10.4628	−	20.2949i	−0.365153	−	0.708298i	0.632658	−	0.774431i	$-0.281964\pi$
$821$	−10.4628	−	20.2949i	−0.365153	−	0.708298i	−0.997811	+	0.0661338i	$0.978934\pi$
$822$	−35.3964	+	40.3931i	−1.23459	+	1.40887i
$823$	12.2842	+	12.8833i	0.428202	+	0.449085i	0.902121	−	0.431483i	$-0.142010\pi$
$823$	12.2842	+	12.8833i	0.428202	+	0.449085i	−0.473919	+	0.880568i	$0.657161\pi$
$824$	−15.3674	−	8.42659i	−0.535347	−	0.293554i
$825$	2.35531	−	1.52353i	0.0820014	−	0.0530424i
$826$	6.38557	−	10.8456i	0.222183	−	0.377366i
$827$	44.8727	+	17.9643i	1.56038	+	0.624681i	0.981625	−	0.190822i	$-0.0611153\pi$
$827$	44.8727	+	17.9643i	1.56038	+	0.624681i	0.578753	+	0.815503i	$0.303540\pi$
$828$	3.94964	−	6.66841i	0.137260	−	0.231743i
$829$	−14.9441	−	17.2465i	−0.519031	−	0.598994i	0.434357	−	0.900741i	$-0.356976\pi$
$829$	−14.9441	−	17.2465i	−0.519031	−	0.598994i	−0.953388	+	0.301747i	$0.902430\pi$
$830$	−20.3098	+	43.4874i	−0.704962	+	1.50947i
$831$	1.95025	+	38.5425i	0.0676535	+	1.33702i
$832$	11.5819	+	5.33893i	0.401529	+	0.185094i
$833$	33.1734	−	19.1527i	1.14939	−	0.663601i
$834$	−19.0785	+	5.48677i	−0.660633	+	0.189991i
$835$	2.56868	−	13.3276i	0.0888927	−	0.461219i
$836$	8.96075	−	21.3221i	0.309914	−	0.737439i
$837$	−31.1504	−	38.8958i	−1.07672	−	1.34444i
$838$	−23.3433	−	3.55960i	−0.806381	−	0.122964i
$839$	0.336991	−	0.134911i	0.0116342	−	0.00465764i	−0.365838	−	0.930679i	$-0.619218\pi$
$839$	0.336991	−	0.134911i	0.0116342	−	0.00465764i	0.377472	+	0.926021i	$0.376793\pi$
$840$	52.7171	+	8.80055i	1.81891	+	0.303648i
$841$	−13.1139	+	22.7139i	−0.452203	+	0.783239i
$842$	4.34772	−	0.587328i	0.149832	−	0.0202407i
$843$	32.5938	+	1.45605i	1.12259	+	0.0501490i
$844$	27.3200	+	9.98023i	0.940394	+	0.343534i
$845$	−25.6395	−	1.22136i	−0.882025	−	0.0420160i
$846$	22.8990	+	10.5299i	0.787284	+	0.362026i
$847$	−20.4184	+	31.7716i	−0.701583	+	1.09168i
$848$	−46.9803	−	18.0758i	−1.61331	−	0.620727i
$849$	−9.33365	−	5.35205i	−0.320330	−	0.183682i
$850$	−3.67536	+	2.31798i	−0.126064	+	0.0795061i
$851$	2.82851	−	2.22436i	0.0969600	−	0.0762501i
$852$	6.52565	+	2.71977i	0.223565	+	0.0931780i
$853$	−1.00802	−	21.1610i	−0.0345141	−	0.724540i	−0.948115	−	0.317928i	$-0.897013\pi$
$853$	−1.00802	−	21.1610i	−0.0345141	−	0.724540i	0.913601	−	0.406612i	$-0.133290\pi$
$854$	−22.1323	+	1.92316i	−0.757351	+	0.0658090i
$855$	−7.34272	+	53.3058i	−0.251116	+	1.82302i
$856$	3.07367	−	0.361982i	0.105056	−	0.0123723i
$857$	−11.9260	−	18.5571i	−0.407383	−	0.633900i	0.575571	−	0.817752i	$-0.304780\pi$
$857$	−11.9260	−	18.5571i	−0.407383	−	0.633900i	−0.982954	+	0.183852i	$0.941143\pi$
$858$	−3.36944	+	5.17933i	−0.115031	+	0.176819i
$859$	−5.11463	−	1.77019i	−0.174509	−	0.0603982i	0.238416	−	0.971163i	$-0.423372\pi$
$859$	−5.11463	−	1.77019i	−0.174509	−	0.0603982i	−0.412925	+	0.910765i	$0.635493\pi$
$860$	20.7830	+	16.9252i	0.708696	+	0.577145i
$861$	−9.78975	−	16.8411i	−0.333634	−	0.573945i
$862$	2.35490	−	22.6222i	0.0802083	−	0.770514i
$863$	15.5978	−	18.0008i	0.530954	−	0.612753i	−0.425385	−	0.905012i	$-0.639861\pi$
$863$	15.5978	−	18.0008i	0.530954	−	0.612753i	0.956339	+	0.292259i	$0.0944069\pi$
$864$	18.9393	−	22.4789i	0.644329	−	0.764748i
$865$	−15.1718	−	1.44873i	−0.515855	−	0.0492582i
$866$	12.1332	+	12.9440i	0.412302	+	0.439856i
$867$	−9.09095	−	10.4290i	−0.308745	−	0.354189i
$868$	−50.6326	+	68.5980i	−1.71858	+	2.32837i
$869$	−17.3063	−	4.19846i	−0.587076	−	0.142423i
$870$	−6.94758	+	7.20567i	−0.235545	+	0.244295i
$871$	13.0441	−	0.343826i	0.441983	−	0.0116501i
$872$	−6.46780	+	2.75613i	−0.219027	+	0.0933342i
$873$	−37.5295	+	24.4336i	−1.27018	+	0.826951i
$874$	3.25795	−	12.9468i	0.110202	−	0.437931i
$875$	−38.5601	−	19.8791i	−1.30357	−	0.672037i
$876$	45.7523	+	0.644715i	1.54583	+	0.0217829i
$877$	−3.81392	−	0.364185i	−0.128787	−	0.0122977i	0.0304635	−	0.999536i	$-0.490302\pi$
$877$	−3.81392	−	0.364185i	−0.128787	−	0.0122977i	−0.159250	+	0.987238i	$0.550908\pi$
$878$	18.6491	+	41.7744i	0.629375	+	1.40982i
$879$	6.76706	+	13.0315i	0.228247	+	0.439542i
$880$	−14.8445	+	4.57738i	−0.500409	+	0.154303i
$881$	31.8392	−	40.4869i	1.07269	−	1.36404i	0.145540	−	0.989352i	$-0.453508\pi$
$881$	31.8392	−	40.4869i	1.07269	−	1.36404i	0.927152	−	0.374686i	$-0.122249\pi$
$882$	−46.9528	+	26.9451i	−1.58098	+	0.907288i
$883$	−21.5930	−	7.47340i	−0.726661	−	0.251500i	−0.0614029	−	0.998113i	$-0.519557\pi$
$883$	−21.5930	−	7.47340i	−0.726661	−	0.251500i	−0.665259	+	0.746613i	$0.731679\pi$
$884$	5.31121	−	7.96261i	0.178635	−	0.267811i
$885$	−1.63534	−	8.35199i	−0.0549715	−	0.280749i
$886$	−1.62566	+	2.03132i	−0.0546152	+	0.0682436i
$887$	26.8520	+	37.7083i	0.901600	+	1.26612i	0.963410	+	0.268033i	$0.0863735\pi$
$887$	26.8520	+	37.7083i	0.901600	+	1.26612i	−0.0618093	+	0.998088i	$0.519687\pi$
$888$	11.9701	−	6.55460i	0.401690	−	0.219958i
$889$	−0.855406	−	17.9572i	−0.0286894	−	0.602264i
$890$	−14.0179	−	35.8988i	−0.469880	−	1.20333i
$891$	9.45268	+	10.6518i	0.316677	+	0.356847i
$892$	−1.04567	−	5.97154i	−0.0350118	−	0.199942i
$893$	42.9736	+	6.17867i	1.43806	+	0.206761i
$894$	−18.1804	−	40.4031i	−0.608042	−	1.35128i
$895$	−20.6632	+	32.1525i	−0.690693	+	1.07474i
$896$	−45.4915	−	21.4424i	−1.51976	−	0.716339i
$897$	−1.47203	+	3.24868i	−0.0491496	+	0.108470i
$898$	−2.16136	−	55.2834i	−0.0721256	−	1.84483i
$899$	−5.22250	−	15.0894i	−0.174180	−	0.503261i
$900$	5.20272	−	3.26232i	0.173424	−	0.108744i
$901$	−18.8895	+	32.7176i	−0.629301	+	1.08998i
$902$	4.73674	+	3.10149i	0.157716	+	0.103268i
$903$	−42.0415	+	0.124319i	−1.39905	+	0.00413708i
$904$	0.425463	−	0.317323i	0.0141507	−	0.0105540i
$905$	38.3971	−	9.31504i	1.27636	−	0.309642i
$906$	49.2751	+	20.0458i	1.63706	+	0.665976i
$907$	−4.80297	+	24.9202i	−0.159480	+	0.827461i	0.810772	+	0.585363i	$0.199048\pi$
$907$	−4.80297	+	24.9202i	−0.159480	+	0.827461i	−0.970252	+	0.242098i	$0.922164\pi$
$908$	42.8588	−	11.7947i	1.42232	−	0.391422i
$909$	25.8267	+	6.10398i	0.856616	+	0.202456i
$910$	−24.5569	−	1.37967i	−0.814054	−	0.0457357i
$911$	−4.63897	−	10.1579i	−0.153696	−	0.336547i	0.817084	−	0.576519i	$-0.195589\pi$
$911$	−4.63897	−	10.1579i	−0.153696	−	0.336547i	−0.970780	+	0.239971i	$0.922862\pi$
$912$	20.2726	−	46.3972i	0.671293	−	1.53636i
$913$	14.3292	+	16.5368i	0.474228	+	0.547288i
$914$	−15.4683	+	10.8174i	−0.511645	+	0.357808i
$915$	−10.3344	+	10.9028i	−0.341646	+	0.360436i
$916$	19.4782	−	14.7875i	0.643579	−	0.488593i
$917$	−25.2017	−	17.9461i	−0.832235	−	0.592632i
$918$	−14.4523	−	16.6672i	−0.476998	−	0.550098i
$919$	31.6105	+	33.1521i	1.04273	+	1.09359i	0.995506	+	0.0947023i	$0.0301899\pi$
$919$	31.6105	+	33.1521i	1.04273	+	1.09359i	0.0472270	+	0.998884i	$0.484962\pi$
$920$	−8.07245	+	3.90370i	−0.266141	+	0.128701i
$921$	−1.43786	−	14.6015i	−0.0473791	−	0.481136i
$922$	−7.82042	−	33.4792i	−0.257552	−	1.10258i
$923$	−3.12164	−	0.916597i	−0.102750	−	0.0301702i
$924$	13.4608	−	20.3105i	0.442829	−	0.668165i
$925$	2.79963	−	0.539584i	0.0920512	−	0.0177414i
$926$	16.6367	−	18.8723i	0.546717	−	0.620184i
$927$	11.4045	−	14.6798i	0.374572	−	0.482148i
$928$	8.13323	−	4.74990i	0.266986	−	0.155923i
$929$	5.00682	+	17.0517i	0.164268	+	0.559447i	0.999948	+	0.0102290i	$0.00325603\pi$
$929$	5.00682	+	17.0517i	0.164268	+	0.559447i	−0.835679	+	0.549218i	$0.814926\pi$
$930$	5.16075	+	57.4222i	0.169228	+	1.88295i
$931$	−64.3505	+	67.4889i	−2.10900	+	2.21186i
$932$	10.4472	−	8.74527i	0.342211	−	0.286461i
$933$	40.6736	−	39.0124i	1.33159	−	1.27721i
$934$	−30.6922	+	26.1402i	−1.00428	+	0.855334i
$935$	1.65920	+	11.5400i	0.0542615	+	0.377397i
$936$	−7.53540	+	11.2335i	−0.246302	+	0.367179i
$937$	31.3742			1.02495			0.512475	−	0.858702i	$-0.328729\pi$
$937$	31.3742			1.02495			0.512475	+	0.858702i	$0.328729\pi$
$938$	−51.4487	+	0.917366i	−1.67986	+	0.0299531i
$939$	7.08315	+	2.81139i	0.231150	+	0.0917463i
$940$	−15.3446	−	24.7961i	−0.500487	−	0.808761i
$941$	−20.0317	+	2.88013i	−0.653015	+	0.0938894i	−0.460857	−	0.887475i	$-0.652458\pi$
$941$	−20.0317	+	2.88013i	−0.653015	+	0.0938894i	−0.192158	+	0.981364i	$0.561549\pi$
$942$	31.5131	−	10.7107i	1.02675	−	0.348975i
$943$	2.97281	+	1.35764i	0.0968080	+	0.0442108i
$944$	−0.653502	+	7.98149i	−0.0212697	+	0.259775i
$945$	−18.0651	+	53.7333i	−0.587658	+	1.74794i
$946$	10.9083	−	5.50646i	0.354661	−	0.179031i
$947$	43.0987	−	12.6549i	1.40052	−	0.411230i	0.507658	−	0.861559i	$-0.330512\pi$
$947$	43.0987	−	12.6549i	1.40052	−	0.411230i	0.892863	+	0.450329i	$0.148693\pi$
$948$	−37.7536	−	9.72418i	−1.22618	−	0.315827i
$949$	−20.9615	+	2.00158i	−0.680441	+	0.0649742i
$950$	6.99510	−	7.93509i	0.226951	−	0.257448i
$951$	4.44202	−	23.4199i	0.144043	−	0.759441i
$952$	−21.2114	+	31.2205i	−0.687465	+	1.01186i
$953$	−12.5138	+	42.6183i	−0.405363	+	1.38054i	0.463767	+	0.885957i	$0.346498\pi$
$953$	−12.5138	+	42.6183i	−0.405363	+	1.38054i	−0.869130	+	0.494583i	$0.835321\pi$
$954$	26.8162	−	46.1683i	0.868206	−	1.49475i
$955$	−9.55276	−	18.5298i	−0.309120	−	0.599609i
$956$	−7.85890	+	8.76324i	−0.254175	+	0.283423i
$957$	1.70853	+	4.23140i	0.0552290	+	0.136782i
$958$	7.90623	+	27.8006i	0.255439	+	0.898196i
$959$	−56.5355	+	79.3930i	−1.82563	+	2.56373i
$960$	−32.6356	+	9.56191i	−1.05331	+	0.308609i
$961$	−56.6041	−	22.6609i	−1.82594	−	0.730996i
$962$	−5.14665	+	3.59920i	−0.165935	+	0.116043i
$963$	−0.136800	+	3.27980i	−0.00440833	+	0.105690i
$964$	−6.27318	+	5.78055i	−0.202046	+	0.186179i
$965$	−5.37107	+	2.45288i	−0.172901	+	0.0789611i
$966$	5.91387	−	12.7611i	0.190276	−	0.410581i
$967$	−19.5867	+	11.3084i	−0.629866	+	0.363654i	−0.780700	−	0.624906i	$-0.785137\pi$
$967$	−19.5867	+	11.3084i	−0.629866	+	0.363654i	0.150834	+	0.988559i	$0.451804\pi$
$968$	2.89516	−	23.8557i	0.0930540	−	0.766750i
$969$	−32.0287	−	20.4500i	−1.02891	−	0.656949i
$970$	51.8095	+	0.441622i	1.66350	+	0.0141796i
$971$	1.56478	+	6.45013i	0.0502163	+	0.206994i	0.991393	−	0.130921i	$-0.0417934\pi$
$971$	1.56478	+	6.45013i	0.0502163	+	0.206994i	−0.941177	+	0.337915i	$0.890278\pi$
$972$	20.3632	+	23.6081i	0.653149	+	0.757229i
$973$	−33.4452	+	13.3894i	−1.07220	+	0.429246i
$974$	−28.5770	−	18.7114i	−0.915667	−	0.599553i
$975$	−2.21621	+	1.75348i	−0.0709756	+	0.0561563i
$976$	12.1452	−	7.23247i	0.388759	−	0.231506i
$977$	−16.0029	+	5.53866i	−0.511979	+	0.177198i	−0.570829	−	0.821069i	$-0.693378\pi$
$977$	−16.0029	+	5.53866i	−0.511979	+	0.177198i	0.0588498	+	0.998267i	$0.481257\pi$
$978$	−18.5756	+	52.7194i	−0.593983	+	1.68578i
$979$	−17.5497	−	0.835997i	−0.560892	−	0.0267186i
$980$	62.5011	+	4.04617i	1.99653	+	0.129250i
$981$	−1.80089	−	7.23630i	−0.0574979	−	0.231037i
$982$	−0.602541	+	0.621237i	−0.0192279	+	0.0198245i
$983$	−1.37742	+	9.58019i	−0.0439330	+	0.305561i	0.955993	+	0.293390i	$0.0947833\pi$
$983$	−1.37742	+	9.58019i	−0.0439330	+	0.305561i	−0.999926	+	0.0121710i	$0.996126\pi$
$984$	10.2730	+	6.93520i	0.327490	+	0.221086i
$985$	22.7047	−	17.8552i	0.723432	−	0.568913i
$986$	−2.57118	−	6.58461i	−0.0818831	−	0.209697i
$987$	43.2673	+	14.8318i	1.37721	+	0.472102i
$988$	−6.94473	+	22.2417i	−0.220941	+	0.707604i
$989$	5.74550	−	4.09135i	0.182696	−	0.130097i
$990$	−2.30229	−	16.3149i	−0.0731715	−	0.518521i
$991$	−26.7617	−	41.6420i	−0.850114	−	1.32280i	−0.944918	−	0.327307i	$-0.893859\pi$
$991$	−26.7617	−	41.6420i	−0.850114	−	1.32280i	0.0948047	−	0.995496i	$-0.469777\pi$
$992$	10.0015	−	53.3204i	0.317547	−	1.69292i
$993$	−34.7595	−	29.9398i	−1.10306	−	0.950111i
$994$	12.2788	+	3.71936i	0.389460	+	0.117971i
$995$	−9.71187	−	7.63750i	−0.307887	−	0.242125i
$996$	30.8563	+	36.6407i	0.977719	+	1.16101i
$997$	24.7850	−	28.6034i	0.784948	−	0.905878i	−0.212509	−	0.977159i	$-0.568163\pi$
$997$	24.7850	−	28.6034i	0.784948	−	0.905878i	0.997456	+	0.0712812i	$0.0227088\pi$
$998$	6.27571	+	14.0578i	0.198654	+	0.444991i
$999$	4.85548	+	13.6364i	0.153620	+	0.431436i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.bd.a.35.108	yes	2640
3.2	odd	2	inner	804.2.bd.a.35.25	yes	2640
4.3	odd	2	inner	804.2.bd.a.35.125	yes	2640
12.11	even	2	inner	804.2.bd.a.35.8	yes	2640
67.23	even	33	inner	804.2.bd.a.23.8	✓	2640
201.23	odd	66	inner	804.2.bd.a.23.125	yes	2640
268.23	odd	66	inner	804.2.bd.a.23.25	yes	2640
804.23	even	66	inner	804.2.bd.a.23.108	yes	2640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.bd.a.23.8	✓	2640	67.23	even	33	inner
804.2.bd.a.23.25	yes	2640	268.23	odd	66	inner
804.2.bd.a.23.108	yes	2640	804.23	even	66	inner
804.2.bd.a.23.125	yes	2640	201.23	odd	66	inner
804.2.bd.a.35.8	yes	2640	12.11	even	2	inner
804.2.bd.a.35.25	yes	2640	3.2	odd	2	inner
804.2.bd.a.35.108	yes	2640	1.1	even	1	trivial
804.2.bd.a.35.125	yes	2640	4.3	odd	2	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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(1.14495 + 0.830114i) q^{2} +(0.403367 - 1.68443i) q^{3} +(0.621823 + 1.90088i) q^{4} +(2.23249 + 1.01954i) q^{5} +(1.86010 - 1.59374i) q^{6} +(3.06753 - 3.21714i) q^{7} +(-0.865989 + 2.69259i) q^{8} +(-2.67459 - 1.35889i) q^{9} +O(q^{10})\)	\(q+(1.14495 + 0.830114i) q^{2} +(0.403367 - 1.68443i) q^{3} +(0.621823 + 1.90088i) q^{4} +(2.23249 + 1.01954i) q^{5} +(1.86010 - 1.59374i) q^{6} +(3.06753 - 3.21714i) q^{7} +(-0.865989 + 2.69259i) q^{8} +(-2.67459 - 1.35889i) q^{9} +(1.70975 + 3.02055i) q^{10} +(1.57520 - 0.150413i) q^{11} +(3.45271 - 0.280663i) q^{12} +(-1.56534 + 0.301694i) q^{13} +(6.18277 - 1.13706i) q^{14} +(2.61786 - 3.34922i) q^{15} +(-3.22667 + 2.36402i) q^{16} +(1.37562 + 2.66833i) q^{17} +(-1.93424 - 3.77607i) q^{18} +(-5.04324 - 5.28920i) q^{19} +(-0.549816 + 4.87767i) q^{20} +(-4.18169 - 6.46473i) q^{21} +(1.92838 + 1.13538i) q^{22} +(1.19919 + 0.480083i) q^{23} +(4.18617 + 2.54480i) q^{24} +(0.670243 + 0.773501i) q^{25} +(-2.04268 - 0.953984i) q^{26} +(-3.36779 + 3.95702i) q^{27} +(8.02285 + 3.83052i) q^{28} +(-1.44193 + 0.832499i) q^{29} +(5.77755 - 1.66156i) q^{30} +(-1.81495 + 9.41688i) q^{31} +(-5.65678 + 0.0281772i) q^{32} +(0.382023 - 2.71397i) q^{33} +(-0.640000 + 4.19702i) q^{34} +(10.1283 - 4.05474i) q^{35} +(0.919955 - 5.92905i) q^{36} +(1.39286 - 2.41250i) q^{37} +(-1.38362 - 10.2423i) q^{38} +(-0.123224 + 2.75839i) q^{39} +(-4.67853 + 5.12828i) q^{40} +(2.52721 + 0.120386i) q^{41} +(0.578629 - 10.8731i) q^{42} +(2.95214 - 4.59362i) q^{43} +(1.26541 + 2.90072i) q^{44} +(-4.58555 - 5.76056i) q^{45} +(0.974489 + 1.54514i) q^{46} +(-4.66966 + 3.67226i) q^{47} +(2.68048 + 6.38866i) q^{48} +(-0.607133 - 12.7453i) q^{49} +(0.125301 + 1.44200i) q^{50} +(5.04948 - 1.24081i) q^{51} +(-1.54685 - 2.78792i) q^{52} +(6.80366 + 10.5867i) q^{53} +(-7.14073 + 1.73495i) q^{54} +(3.66996 + 1.27019i) q^{55} +(6.00600 + 11.0456i) q^{56} +(-10.9436 + 6.36148i) q^{57} +(-2.34201 - 0.243796i) q^{58} +(1.31106 - 1.51305i) q^{59} +(7.99430 + 2.89362i) q^{60} +(-3.51789 - 0.335918i) q^{61} +(-9.89511 + 9.27524i) q^{62} +(-12.5761 + 4.43609i) q^{63} +(-6.50013 - 4.66351i) q^{64} +(-3.80220 - 0.922403i) q^{65} +(2.69030 - 2.79024i) q^{66} +(-8.07546 - 1.33677i) q^{67} +(-4.21677 + 4.27411i) q^{68} +(1.29238 - 1.82630i) q^{69} +(14.9623 + 3.76513i) q^{70} +(1.81399 + 0.935176i) q^{71} +(5.97509 - 6.02481i) q^{72} +(13.1491 + 1.25558i) q^{73} +(3.59741 - 1.60597i) q^{74} +(1.57326 - 0.816970i) q^{75} +(6.91812 - 12.8755i) q^{76} +(4.34807 - 5.52902i) q^{77} +(-2.43087 + 3.05593i) q^{78} +(-10.6353 - 3.68090i) q^{79} +(-9.61374 + 1.98791i) q^{80} +(5.30686 + 7.26892i) q^{81} +(2.79360 + 2.23571i) q^{82} +(8.02119 + 11.2642i) q^{83} +(9.68839 - 11.9688i) q^{84} +(0.350577 + 7.35952i) q^{85} +(7.19328 - 2.80886i) q^{86} +(0.820656 + 2.76463i) q^{87} +(-0.959101 + 4.37162i) q^{88} +(-10.9904 - 1.58018i) q^{89} +(-0.468308 - 10.4021i) q^{90} +(-3.83114 + 5.96137i) q^{91} +(-0.166896 + 2.57804i) q^{92} +(15.1299 + 6.85562i) q^{93} +(-8.39493 + 0.328208i) q^{94} +(-5.86642 - 16.9499i) q^{95} +(-2.23430 + 9.53981i) q^{96} +(7.46373 - 12.9276i) q^{97} +(9.88490 - 15.0967i) q^{98} +(-4.41740 - 1.73822i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Introduction

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