LMFDB - Embedded newform 529.2.c.e.170.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [529,2,Mod(118,529)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(529, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([16]))

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

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

chi := DirichletCharacter("529.118");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, not 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:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			170.1
Root			$0.654861 - 0.755750i$ of defining polynomial
Character	$\chi$	$=$	529.170
Dual form			529.2.c.e.501.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.41153 - 0.708089i) q^{2} +(-1.04408 - 1.20493i) q^{3} +(3.63158 - 2.33387i) q^{4} +(-0.210468 - 1.46384i) q^{5} +(-3.37102 - 2.16642i) q^{6} +(-0.510424 + 1.11767i) q^{7} +(3.81329 - 4.40077i) q^{8} +(0.0651865 - 0.453382i) q^{9} +O(q^{10})$	\(q+(2.41153 - 0.708089i) q^{2} +(-1.04408 - 1.20493i) q^{3} +(3.63158 - 2.33387i) q^{4} +(-0.210468 - 1.46384i) q^{5} +(-3.37102 - 2.16642i) q^{6} +(-0.510424 + 1.11767i) q^{7} +(3.81329 - 4.40077i) q^{8} +(0.0651865 - 0.453382i) q^{9} +(-1.54408 - 3.38106i) q^{10} +(-3.40255 - 0.999080i) q^{11} +(-6.60380 - 1.93905i) q^{12} +(-0.0566239 - 0.123989i) q^{13} +(-0.439490 + 3.05672i) q^{14} +(-1.54408 + 1.78196i) q^{15} +(2.49315 - 5.45923i) q^{16} +(5.07650 + 3.26247i) q^{17} +(-0.163836 - 1.13950i) q^{18} +(2.70760 - 1.74007i) q^{19} +(-4.18074 - 4.82484i) q^{20} +(1.87964 - 0.551912i) q^{21} -8.91280 q^{22} -9.28400 q^{24} +(2.69894 - 0.792480i) q^{25} +(-0.224345 - 0.258908i) q^{26} +(-4.63811 + 2.98074i) q^{27} +(0.754861 + 5.25017i) q^{28} +(3.86603 + 2.48455i) q^{29} +(-2.46180 + 5.39060i) q^{30} +(-1.88388 + 2.17412i) q^{31} +(0.489262 - 3.40289i) q^{32} +(2.34871 + 5.14296i) q^{33} +(14.5522 + 4.27292i) q^{34} +(1.74352 + 0.511943i) q^{35} +(-0.821406 - 1.79863i) q^{36} +(0.554448 - 3.85627i) q^{37} +(5.29733 - 6.11345i) q^{38} +(-0.0902783 + 0.197682i) q^{39} +(-7.24460 - 4.65582i) q^{40} +(-0.145596 - 1.01265i) q^{41} +(4.14200 - 2.66190i) q^{42} +(-2.07306 - 2.39243i) q^{43} +(-14.6884 + 4.31289i) q^{44} -0.677398 q^{45} +0.00935386 q^{47} +(-9.18103 + 2.69579i) q^{48} +(3.59537 + 4.14928i) q^{49} +(5.94742 - 3.82218i) q^{50} +(-1.36921 - 9.52310i) q^{51} +(-0.495008 - 0.318122i) q^{52} +(3.90820 - 8.55777i) q^{53} +(-9.07432 + 10.4723i) q^{54} +(-0.746362 + 5.19106i) q^{55} +(2.97223 + 6.50827i) q^{56} +(-4.92360 - 1.44570i) q^{57} +(11.0823 + 3.25406i) q^{58} +(1.93873 + 4.24522i) q^{59} +(-1.44857 + 10.0750i) q^{60} +(-8.87816 + 10.2459i) q^{61} +(-3.00357 + 6.57690i) q^{62} +(0.473460 + 0.304274i) q^{63} +(0.478549 + 3.32838i) q^{64} +(-0.169582 + 0.108984i) q^{65} +(9.30565 + 10.7393i) q^{66} +(9.33182 - 2.74007i) q^{67} +26.0499 q^{68} +4.56705 q^{70} +(0.668011 - 0.196146i) q^{71} +(-1.74666 - 2.01575i) q^{72} +(-4.46496 + 2.86946i) q^{73} +(-1.39352 - 9.69211i) q^{74} +(-3.77279 - 2.42462i) q^{75} +(5.77176 - 12.6384i) q^{76} +(2.85339 - 3.29298i) q^{77} +(-0.0777324 + 0.540641i) q^{78} +(4.45954 + 9.76502i) q^{79} +(-8.51616 - 2.50057i) q^{80} +(7.11566 + 2.08935i) q^{81} +(-1.06815 - 2.33893i) q^{82} +(-0.249212 + 1.73331i) q^{83} +(5.53796 - 6.39114i) q^{84} +(3.70728 - 8.11782i) q^{85} +(-6.69329 - 4.30152i) q^{86} +(-1.04273 - 7.25236i) q^{87} +(-17.3717 + 11.1641i) q^{88} +(-5.76912 - 6.65792i) q^{89} +(-1.63357 + 0.479658i) q^{90} +0.167481 q^{91} +4.58658 q^{93} +(0.0225571 - 0.00662336i) q^{94} +(-3.11704 - 3.59726i) q^{95} +(-4.61107 + 2.96336i) q^{96} +(2.56395 + 17.8327i) q^{97} +(11.6084 + 7.46026i) q^{98} +(-0.674766 + 1.47753i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} + 3 q^{5} - 5 q^{6} - 6 q^{7} + 15 q^{8} - 2 q^{9}+O(q^{10}) $ 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 + 3 * q^5 - 5 * q^6 - 6 * q^7 + 15 * q^8 - 2 * q^9	\( 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} + 3 q^{5} - 5 q^{6} - 6 q^{7} + 15 q^{8} - 2 q^{9} - 12 q^{10} - 7 q^{11} - 10 q^{12} + 8 q^{13} + 2 q^{14} - 12 q^{15} + 12 q^{16} - q^{17} - 3 q^{18} - 2 q^{19} - 2 q^{20} + 24 q^{21} + 6 q^{22} - 38 q^{24} + 18 q^{25} - 10 q^{26} - 4 q^{27} + 26 q^{28} - 8 q^{29} + 4 q^{30} - 12 q^{31} - 23 q^{32} + 17 q^{33} + 26 q^{34} + 18 q^{35} - 6 q^{36} - 25 q^{37} + 52 q^{38} + 12 q^{39} - 12 q^{40} - 26 q^{41} + 14 q^{42} - 22 q^{43} - 32 q^{44} + 6 q^{45} - 18 q^{47} - 15 q^{48} + 15 q^{49} + 5 q^{50} - 18 q^{51} + 13 q^{52} + 48 q^{53} - 17 q^{54} + 32 q^{55} + 2 q^{56} + 8 q^{57} - q^{58} + q^{59} + 8 q^{60} - 36 q^{61} - 18 q^{62} + 21 q^{63} + 13 q^{64} - 13 q^{65} - 2 q^{66} + 10 q^{67} + 30 q^{68} + 38 q^{70} - 14 q^{71} - 3 q^{72} - 3 q^{73} - 32 q^{74} - 6 q^{75} - 50 q^{76} + 13 q^{77} + 7 q^{78} - 18 q^{79} - 14 q^{80} + 11 q^{81} - 6 q^{82} + 15 q^{83} - 16 q^{84} - 19 q^{85} - 22 q^{86} + 10 q^{87} - 16 q^{88} + 19 q^{89} - 24 q^{90} + 4 q^{91} + 4 q^{93} - 5 q^{94} + 28 q^{95} - 7 q^{96} - 21 q^{97} + 39 q^{98} - 25 q^{99}+O(q^{100}) \) 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 + 3 * q^5 - 5 * q^6 - 6 * q^7 + 15 * q^8 - 2 * q^9 - 12 * q^10 - 7 * q^11 - 10 * q^12 + 8 * q^13 + 2 * q^14 - 12 * q^15 + 12 * q^16 - q^17 - 3 * q^18 - 2 * q^19 - 2 * q^20 + 24 * q^21 + 6 * q^22 - 38 * q^24 + 18 * q^25 - 10 * q^26 - 4 * q^27 + 26 * q^28 - 8 * q^29 + 4 * q^30 - 12 * q^31 - 23 * q^32 + 17 * q^33 + 26 * q^34 + 18 * q^35 - 6 * q^36 - 25 * q^37 + 52 * q^38 + 12 * q^39 - 12 * q^40 - 26 * q^41 + 14 * q^42 - 22 * q^43 - 32 * q^44 + 6 * q^45 - 18 * q^47 - 15 * q^48 + 15 * q^49 + 5 * q^50 - 18 * q^51 + 13 * q^52 + 48 * q^53 - 17 * q^54 + 32 * q^55 + 2 * q^56 + 8 * q^57 - q^58 + q^59 + 8 * q^60 - 36 * q^61 - 18 * q^62 + 21 * q^63 + 13 * q^64 - 13 * q^65 - 2 * q^66 + 10 * q^67 + 30 * q^68 + 38 * q^70 - 14 * q^71 - 3 * q^72 - 3 * q^73 - 32 * q^74 - 6 * q^75 - 50 * q^76 + 13 * q^77 + 7 * q^78 - 18 * q^79 - 14 * q^80 + 11 * q^81 - 6 * q^82 + 15 * q^83 - 16 * q^84 - 19 * q^85 - 22 * q^86 + 10 * q^87 - 16 * q^88 + 19 * q^89 - 24 * q^90 + 4 * q^91 + 4 * q^93 - 5 * q^94 + 28 * q^95 - 7 * q^96 - 21 * q^97 + 39 * q^98 - 25 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{5}{11}\right)$

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 $

$2$	2.41153	−	0.708089i	1.70521	−	0.500694i	0.723378	−	0.690452i	$-0.242589\pi$
$2$	2.41153	−	0.708089i	1.70521	−	0.500694i	0.981831	+	0.189758i	$0.0607703\pi$
$3$	−1.04408	−	1.20493i	−0.602799	−	0.695667i	0.369547	−	0.929212i	$-0.379513\pi$
$3$	−1.04408	−	1.20493i	−0.602799	−	0.695667i	−0.972346	+	0.233545i	$0.924967\pi$
$4$	3.63158	−	2.33387i	1.81579	−	1.16694i
$5$	−0.210468	−	1.46384i	−0.0941242	−	0.654648i	−0.981196	−	0.193016i	$-0.938173\pi$
$5$	−0.210468	−	1.46384i	−0.0941242	−	0.654648i	0.887071	−	0.461632i	$-0.152736\pi$
$6$	−3.37102	−	2.16642i	−1.37621	−	0.884439i
$7$	−0.510424	+	1.11767i	−0.192922	+	0.422440i	−0.981230	−	0.192840i	$-0.938230\pi$
$7$	−0.510424	+	1.11767i	−0.192922	+	0.422440i	0.788308	+	0.615281i	$0.210957\pi$
$8$	3.81329	−	4.40077i	1.34820	−	1.55591i
$9$	0.0651865	−	0.453382i	0.0217288	−	0.151127i
$10$	−1.54408	−	3.38106i	−0.488280	−	1.06918i
$11$	−3.40255	−	0.999080i	−1.02591	−	0.301234i	−0.274862	−	0.961484i	$-0.588632\pi$
$11$	−3.40255	−	0.999080i	−1.02591	−	0.301234i	−0.751046	+	0.660250i	$0.770451\pi$
$12$	−6.60380	−	1.93905i	−1.90635	−	0.559756i
$13$	−0.0566239	−	0.123989i	−0.0157046	−	0.0343883i	0.901617	−	0.432535i	$-0.142381\pi$
$13$	−0.0566239	−	0.123989i	−0.0157046	−	0.0343883i	−0.917322	+	0.398147i	$0.869654\pi$
$14$	−0.439490	+	3.05672i	−0.117459	+	0.816944i
$15$	−1.54408	+	1.78196i	−0.398679	+	0.460100i
$16$	2.49315	−	5.45923i	0.623287	−	1.36481i
$17$	5.07650	+	3.26247i	1.23123	+	0.791265i	0.984082	−	0.177713i	$-0.0568698\pi$
$17$	5.07650	+	3.26247i	1.23123	+	0.791265i	0.247149	+	0.968977i	$0.420506\pi$
$18$	−0.163836	−	1.13950i	−0.0386164	−	0.268583i
$19$	2.70760	−	1.74007i	0.621166	−	0.399199i	−0.191864	−	0.981422i	$-0.561453\pi$
$19$	2.70760	−	1.74007i	0.621166	−	0.399199i	0.813029	+	0.582223i	$0.197817\pi$
$20$	−4.18074	−	4.82484i	−0.934843	−	1.07887i
$21$	1.87964	−	0.551912i	0.410171	−	0.120437i
$22$	−8.91280			−1.90021
$23$		0			0
$23$		0			0
$24$	−9.28400			−1.89509
$25$	2.69894	−	0.792480i	0.539788	−	0.158496i
$26$	−0.224345	−	0.258908i	−0.0439977	−	0.0507761i
$27$	−4.63811	+	2.98074i	−0.892606	+	0.573643i
$28$	0.754861	+	5.25017i	0.142655	+	0.992189i
$29$	3.86603	+	2.48455i	0.717904	+	0.461369i	0.847907	−	0.530145i	$-0.177862\pi$
$29$	3.86603	+	2.48455i	0.717904	+	0.461369i	−0.130003	+	0.991514i	$0.541499\pi$
$30$	−2.46180	+	5.39060i	−0.449462	+	0.984184i
$31$	−1.88388	+	2.17412i	−0.338355	+	0.390483i	−0.899272	−	0.437389i	$-0.855903\pi$
$31$	−1.88388	+	2.17412i	−0.338355	+	0.390483i	0.560917	+	0.827872i	$0.310449\pi$
$32$	0.489262	−	3.40289i	0.0864901	−	0.601552i
$33$	2.34871	+	5.14296i	0.408858	+	0.895274i
$34$	14.5522	+	4.27292i	2.49569	+	0.732800i
$35$	1.74352	+	0.511943i	0.294708	+	0.0865342i
$36$	−0.821406	−	1.79863i	−0.136901	−	0.299772i
$37$	0.554448	−	3.85627i	0.0911507	−	0.633967i	−0.892117	−	0.451803i	$-0.850781\pi$
$37$	0.554448	−	3.85627i	0.0911507	−	0.633967i	0.983268	−	0.182164i	$-0.0583101\pi$
$38$	5.29733	−	6.11345i	0.859341	−	0.991732i
$39$	−0.0902783	+	0.197682i	−0.0144561	+	0.0316544i
$40$	−7.24460	−	4.65582i	−1.14547	−	0.736150i
$41$	−0.145596	−	1.01265i	−0.0227383	−	0.158149i	0.975289	−	0.220934i	$-0.0709106\pi$
$41$	−0.145596	−	1.01265i	−0.0227383	−	0.158149i	−0.998027	+	0.0627856i	$0.980002\pi$
$42$	4.14200	−	2.66190i	0.639124	−	0.410740i
$43$	−2.07306	−	2.39243i	−0.316138	−	0.364843i	0.575334	−	0.817919i	$-0.304872\pi$
$43$	−2.07306	−	2.39243i	−0.316138	−	0.364843i	−0.891472	+	0.453076i	$0.850327\pi$
$44$	−14.6884	+	4.31289i	−2.21435	+	0.650193i
$45$	−0.677398			−0.100981
$46$		0			0
$47$	0.00935386			0.00136440			0.000682200	−	1.00000i	$-0.499783\pi$
$47$	0.00935386			0.00136440			0.000682200		1.00000i	$0.499783\pi$
$48$	−9.18103	+	2.69579i	−1.32517	+	0.389104i
$49$	3.59537	+	4.14928i	0.513624	+	0.592754i
$50$	5.94742	−	3.82218i	0.841093	−	0.540537i
$51$	−1.36921	−	9.52310i	−0.191728	−	1.33350i
$52$	−0.495008	−	0.318122i	−0.0686453	−	0.0441157i
$53$	3.90820	−	8.55777i	0.536833	−	1.17550i	−0.425831	−	0.904803i	$-0.640018\pi$
$53$	3.90820	−	8.55777i	0.536833	−	1.17550i	0.962664	−	0.270698i	$-0.0872544\pi$
$54$	−9.07432	+	10.4723i	−1.23486	+	1.42510i
$55$	−0.746362	+	5.19106i	−0.100639	+	0.699963i
$56$	2.97223	+	6.50827i	0.397180	+	0.869704i
$57$	−4.92360	−	1.44570i	−0.652147	−	0.191488i
$58$	11.0823	+	3.25406i	1.45518	+	0.427280i
$59$	1.93873	+	4.24522i	0.252401	+	0.552681i	0.992841	−	0.119441i	$-0.0381103\pi$
$59$	1.93873	+	4.24522i	0.252401	+	0.552681i	−0.740441	+	0.672122i	$0.765383\pi$
$60$	−1.44857	+	10.0750i	−0.187009	+	1.30068i
$61$	−8.87816	+	10.2459i	−1.13673	+	1.31186i	−0.192981	+	0.981202i	$0.561816\pi$
$61$	−8.87816	+	10.2459i	−1.13673	+	1.31186i	−0.943751	+	0.330657i	$0.892730\pi$
$62$	−3.00357	+	6.57690i	−0.381454	+	0.835268i
$63$	0.473460	+	0.304274i	0.0596503	+	0.0383349i
$64$	0.478549	+	3.32838i	0.0598186	+	0.416048i
$65$	−0.169582	+	0.108984i	−0.0210341	+	0.0135178i
$66$	9.30565	+	10.7393i	1.14545	+	1.32192i
$67$	9.33182	−	2.74007i	1.14006	−	0.334753i	0.343408	−	0.939186i	$-0.388419\pi$
$67$	9.33182	−	2.74007i	1.14006	−	0.334753i	0.796656	+	0.604434i	$0.206601\pi$
$68$	26.0499			3.15901
$69$		0			0
$70$	4.56705			0.545867
$71$	0.668011	−	0.196146i	0.0792783	−	0.0232782i	−0.241853	−	0.970313i	$-0.577755\pi$
$71$	0.668011	−	0.196146i	0.0792783	−	0.0232782i	0.321131	+	0.947035i	$0.395937\pi$
$72$	−1.74666	−	2.01575i	−0.205846	−	0.237558i
$73$	−4.46496	+	2.86946i	−0.522584	+	0.335844i	−0.775193	−	0.631724i	$-0.782348\pi$
$73$	−4.46496	+	2.86946i	−0.522584	+	0.335844i	0.252609	+	0.967568i	$0.418711\pi$
$74$	−1.39352	−	9.69211i	−0.161993	−	1.12669i
$75$	−3.77279	−	2.42462i	−0.435644	−	0.279971i
$76$	5.77176	−	12.6384i	0.662066	−	1.44972i
$77$	2.85339	−	3.29298i	0.325174	−	0.375270i
$78$	−0.0777324	+	0.540641i	−0.00880146	+	0.0612155i
$79$	4.45954	+	9.76502i	0.501737	+	1.09865i	0.975901	+	0.218214i	$0.0700232\pi$
$79$	4.45954	+	9.76502i	0.501737	+	1.09865i	−0.474164	+	0.880437i	$0.657250\pi$
$80$	−8.51616	−	2.50057i	−0.952136	−	0.279572i
$81$	7.11566	+	2.08935i	0.790629	+	0.232150i
$82$	−1.06815	−	2.33893i	−0.117958	−	0.258292i
$83$	−0.249212	+	1.73331i	−0.0273546	+	0.190255i	−0.998917	−	0.0465285i	$-0.985184\pi$
$83$	−0.249212	+	1.73331i	−0.0273546	+	0.190255i	0.971562	+	0.236784i	$0.0760933\pi$
$84$	5.53796	−	6.39114i	0.604241	−	0.697331i
$85$	3.70728	−	8.11782i	0.402111	−	0.880501i
$86$	−6.69329	−	4.30152i	−0.721756	−	0.463844i
$87$	−1.04273	−	7.25236i	−0.111793	−	0.777534i
$88$	−17.3717	+	11.1641i	−1.85183	+	1.19010i
$89$	−5.76912	−	6.65792i	−0.611526	−	0.705738i	0.362549	−	0.931965i	$-0.381907\pi$
$89$	−5.76912	−	6.65792i	−0.611526	−	0.705738i	−0.974075	+	0.226226i	$0.927361\pi$
$90$	−1.63357	+	0.479658i	−0.172193	+	0.0505604i
$91$	0.167481			0.0175568
$92$		0			0
$93$	4.58658			0.475606
$94$	0.0225571	−	0.00662336i	0.00232659	−	0.000683148i
$95$	−3.11704	−	3.59726i	−0.319802	−	0.369071i
$96$	−4.61107	+	2.96336i	−0.470616	+	0.302446i
$97$	2.56395	+	17.8327i	0.260330	+	1.81063i	0.530349	+	0.847780i	$0.322061\pi$
$97$	2.56395	+	17.8327i	0.260330	+	1.81063i	−0.270019	+	0.962855i	$0.587030\pi$
$98$	11.6084	+	7.46026i	1.17262	+	0.753600i
$99$	−0.674766	+	1.47753i	−0.0678165	+	0.148497i
$100$	7.95186	−	9.17693i	0.795186	−	0.917693i
$101$	0.184286	−	1.28173i	0.0183371	−	0.127537i	−0.978597	−	0.205788i	$-0.934024\pi$
$101$	0.184286	−	1.28173i	0.0183371	−	0.127537i	0.996934	+	0.0782505i	$0.0249334\pi$
$102$	−10.0451	−	21.9957i	−0.994613	−	2.17790i
$103$	−3.64521	−	1.07033i	−0.359173	−	0.105463i	0.0971670	−	0.995268i	$-0.469022\pi$
$103$	−3.64521	−	1.07033i	−0.359173	−	0.105463i	−0.456340	+	0.889805i	$0.650840\pi$
$104$	−0.761571	−	0.223617i	−0.0746781	−	0.0219275i
$105$	−1.20351	−	2.63533i	−0.117451	−	0.257182i
$106$	3.36508	−	23.4047i	0.326846	−	2.27326i
$107$	3.75092	−	4.32879i	0.362615	−	0.418480i	−0.544899	−	0.838502i	$-0.683432\pi$
$107$	3.75092	−	4.32879i	0.362615	−	0.418480i	0.907514	+	0.420021i	$0.137977\pi$
$108$	−9.88701	+	21.6495i	−0.951378	+	2.08323i
$109$	1.17370	+	0.754289i	0.112420	+	0.0722478i	0.595642	−	0.803250i	$-0.296898\pi$
$109$	1.17370	+	0.754289i	0.112420	+	0.0722478i	−0.483223	+	0.875497i	$0.660534\pi$
$110$	1.87586	+	13.0469i	0.178856	+	1.24397i
$111$	−5.22543	+	3.35818i	−0.495975	+	0.318744i
$112$	4.82907	+	5.57304i	0.456304	+	0.526603i
$113$	4.98538	−	1.46384i	0.468985	−	0.137706i	−0.0386971	−	0.999251i	$-0.512321\pi$
$113$	4.98538	−	1.46384i	0.468985	−	0.137706i	0.507682	+	0.861545i	$0.330503\pi$
$114$	−12.8971			−1.20792
$115$		0			0
$116$	19.8384			1.84195
$117$	−0.0599055	+	0.0175898i	−0.00553826	+	0.00162618i
$118$	7.68129	+	8.86468i	0.707120	+	0.816060i
$119$	−6.23753	+	4.00862i	−0.571794	+	0.367469i
$120$	1.95399	+	13.5903i	0.178374	+	1.24062i
$121$	1.32543	+	0.851800i	0.120493	+	0.0774363i
$122$	−14.1549	+	30.9949i	−1.28153	+	2.80615i
$123$	−1.06815	+	1.23271i	−0.0963121	+	0.111150i
$124$	−1.76735	+	12.2922i	−0.158713	+	1.10387i
$125$	−4.79987	−	10.5103i	−0.429314	−	0.940066i
$126$	1.35721	+	0.398514i	0.120910	+	0.0355025i
$127$	−18.8710	−	5.54104i	−1.67453	−	0.491688i	−0.699666	−	0.714470i	$-0.746668\pi$
$127$	−18.8710	−	5.54104i	−1.67453	−	0.491688i	−0.974868	+	0.222783i	$0.928486\pi$
$128$	6.36712	+	13.9420i	0.562779	+	1.23231i
$129$	−0.718284	+	4.99577i	−0.0632414	+	0.439853i
$130$	−0.331782	+	0.382897i	−0.0290992	+	0.0335823i
$131$	−2.90756	+	6.36667i	−0.254035	+	0.556259i	−0.993086	−	0.117391i	$-0.962547\pi$
$131$	−2.90756	+	6.36667i	−0.254035	+	0.556259i	0.739051	+	0.673650i	$0.235274\pi$
$132$	20.5325	+	13.1955i	1.78713	+	1.14852i
$133$	0.562803	+	3.91438i	0.0488012	+	0.339420i
$134$	20.5637	−	13.2155i	1.77644	−	1.14165i
$135$	5.33949	+	6.16210i	0.459550	+	0.530349i
$136$	33.7156	−	9.89978i	2.89109	−	0.848899i
$137$	−12.3878			−1.05836			−0.529180	−	0.848510i	$-0.677500\pi$
$137$	−12.3878			−1.05836			−0.529180	+	0.848510i	$0.677500\pi$
$138$		0			0
$139$	−12.5126			−1.06131			−0.530654	−	0.847589i	$-0.678054\pi$
$139$	−12.5126			−1.06131			−0.530654	+	0.847589i	$0.678054\pi$
$140$	7.52653	−	2.20999i	0.636108	−	0.186778i
$141$	−0.00976616	−	0.0112707i	−0.000822459	−	0.000949168i
$142$	1.47204	−	0.946022i	0.123531	−	0.0793884i
$143$	0.0687909	+	0.478451i	0.00575258	+	0.0400101i
$144$	−2.31260	−	1.48622i	−0.192717	−	0.123851i
$145$	2.82330	−	6.18216i	0.234462	−	0.513401i
$146$	−8.73555	+	10.0814i	−0.722960	+	0.834340i
$147$	1.24574	−	8.66433i	0.102747	−	0.714622i
$148$	−6.98653	−	15.2984i	−0.574289	−	1.25752i
$149$	−3.41769	−	1.00353i	−0.279988	−	0.0822120i	0.138724	−	0.990331i	$-0.455700\pi$
$149$	−3.41769	−	1.00353i	−0.279988	−	0.0822120i	−0.418712	+	0.908119i	$0.637518\pi$
$150$	−10.8150	−	3.17558i	−0.883044	−	0.259285i
$151$	−2.33223	−	5.10688i	−0.189795	−	0.415592i	0.790682	−	0.612227i	$-0.209726\pi$
$151$	−2.33223	−	5.10688i	−0.189795	−	0.415592i	−0.980477	+	0.196635i	$0.936999\pi$
$152$	2.66722	−	18.5509i	0.216340	−	1.50468i
$153$	1.81006	−	2.08893i	0.146335	−	0.168880i
$154$	4.54930	−	9.96158i	0.366593	−	0.802727i
$155$	3.57905	+	2.30012i	0.287476	+	0.184750i
$156$	0.133512	+	0.928595i	0.0106895	+	0.0743471i
$157$	−12.2701	+	7.88550i	−0.979259	+	0.629331i	−0.929263	−	0.369418i	$-0.879557\pi$
$157$	−12.2701	+	7.88550i	−0.979259	+	0.629331i	−0.0499955	+	0.998749i	$0.515921\pi$
$158$	17.6688	+	20.3909i	1.40566	+	1.62221i
$159$	−14.3920	+	4.22587i	−1.14136	+	0.335133i
$160$	−5.08426			−0.401946
$161$		0			0
$162$	18.6391			1.46442
$163$	−11.8694	+	3.48516i	−0.929681	+	0.272979i	−0.711303	−	0.702885i	$-0.751895\pi$
$163$	−11.8694	+	3.48516i	−0.929681	+	0.272979i	−0.218378	+	0.975864i	$0.570076\pi$
$164$	−2.89213	−	3.33770i	−0.225837	−	0.260630i
$165$	7.03413	−	4.52056i	0.547606	−	0.351925i
$166$	0.626353	+	4.35638i	0.0486145	+	0.338121i
$167$	−9.93413	−	6.38428i	−0.768726	−	0.494030i	0.0965486	−	0.995328i	$-0.469220\pi$
$167$	−9.93413	−	6.38428i	−0.768726	−	0.494030i	−0.865275	+	0.501298i	$0.832856\pi$
$168$	4.73877	−	10.3765i	0.365604	−	0.800562i
$169$	8.50102	−	9.81070i	0.653925	−	0.754669i
$170$	3.19209	−	22.2014i	0.244822	−	1.70277i
$171$	−0.612417	−	1.34101i	−0.0468327	−	0.102549i
$172$	−13.1121	−	3.85006i	−0.999788	−	0.293564i
$173$	2.34580	+	0.688788i	0.178348	+	0.0523676i	0.369687	−	0.929156i	$-0.379465\pi$
$173$	2.34580	+	0.688788i	0.178348	+	0.0523676i	−0.191339	+	0.981524i	$0.561283\pi$
$174$	−7.64989	−	16.7509i	−0.579937	−	1.26988i
$175$	−0.491869	+	3.42103i	−0.0371818	+	0.258605i
$176$	−13.9373	+	16.0845i	−1.05056	+	1.21241i
$177$	3.09101	−	6.76837i	0.232335	−	0.508742i
$178$	−18.6268	−	11.9707i	−1.39614	−	0.897244i
$179$	−3.08161	−	21.4331i	−0.230330	−	1.60198i	−0.696681	−	0.717381i	$-0.745340\pi$
$179$	−3.08161	−	21.4331i	−0.230330	−	1.60198i	0.466350	−	0.884600i	$-0.345569\pi$
$180$	−2.46002	+	1.58096i	−0.183359	+	0.117838i
$181$	−0.968106	−	1.11725i	−0.0719587	−	0.0830448i	0.718629	−	0.695394i	$-0.244770\pi$
$181$	−0.968106	−	1.11725i	−0.0719587	−	0.0830448i	−0.790587	+	0.612349i	$0.790225\pi$
$182$	0.403886	−	0.118591i	0.0299380	−	0.00879059i
$183$	21.6151			1.59784
$184$		0			0
$185$	−5.76165			−0.423605
$186$	11.0607	−	3.24771i	0.811008	−	0.238133i
$187$	−14.0136	−	16.1726i	−1.02478	−	1.18265i
$188$	0.0339693	−	0.0218307i	0.00247746	−	0.00159217i
$189$	−0.964080	−	6.70533i	−0.0701265	−	0.487741i
$190$	−10.0640	−	6.46775i	−0.730121	−	0.469220i
$191$	−4.72732	+	10.3514i	−0.342057	+	0.749001i	−0.999992	−	0.00407448i	$-0.998703\pi$
$191$	−4.72732	+	10.3514i	−0.342057	+	0.749001i	0.657935	+	0.753075i	$0.271430\pi$
$192$	3.51082	−	4.05171i	0.253372	−	0.292407i
$193$	−0.237923	+	1.65479i	−0.0171261	+	0.119114i	−0.996591	−	0.0824998i	$-0.973710\pi$
$193$	−0.237923	+	1.65479i	−0.0171261	+	0.119114i	0.979465	+	0.201614i	$0.0646187\pi$
$194$	18.8102	+	41.1885i	1.35049	+	2.95716i
$195$	0.308375	+	0.0905471i	0.0220832	+	0.00648421i
$196$	22.7407	+	6.67728i	1.62434	+	0.476949i
$197$	−6.34789	−	13.8999i	−0.452269	−	0.990330i	−0.989182	−	0.146693i	$-0.953137\pi$
$197$	−6.34789	−	13.8999i	−0.452269	−	0.990330i	0.536913	−	0.843637i	$-0.319590\pi$
$198$	−0.580994	+	4.04090i	−0.0412895	+	0.287175i
$199$	2.48072	−	2.86290i	0.175853	−	0.202946i	−0.660980	−	0.750404i	$-0.729859\pi$
$199$	2.48072	−	2.86290i	0.175853	−	0.202946i	0.836833	+	0.547458i	$0.184404\pi$
$200$	6.80432	−	14.8994i	0.481138	−	1.05355i
$201$	−13.0447	−	8.38335i	−0.920105	−	0.591316i
$202$	−0.463172	−	3.22143i	−0.0325887	−	0.226659i
$203$	−4.75022	+	3.05278i	−0.333400	+	0.214263i
$204$	−27.1981	−	31.3883i	−1.90425	−	2.19762i
$205$	−1.45171	+	0.426259i	−0.101392	+	0.0297713i
$206$	−9.54842			−0.665270
$207$		0			0
$208$	−0.818056			−0.0567220
$209$	−10.9512	+	3.21557i	−0.757512	+	0.222426i
$210$	−4.76835	−	5.50297i	−0.329048	−	0.379741i
$211$	2.05046	−	1.31775i	0.141160	−	0.0907179i	−0.468155	−	0.883646i	$-0.655081\pi$
$211$	2.05046	−	1.31775i	0.141160	−	0.0907179i	0.609315	+	0.792929i	$0.291445\pi$
$212$	−5.77981	−	40.1995i	−0.396959	−	2.76091i
$213$	−0.933797	−	0.600115i	−0.0639827	−	0.0411192i
$214$	5.98029	−	13.0950i	0.408804	−	0.895156i
$215$	−3.06582	+	3.53815i	−0.209087	+	0.241300i
$216$	−4.56894	+	31.7777i	−0.310877	+	2.16220i
$217$	−1.46837	−	3.21528i	−0.0996795	−	0.218268i
$218$	3.36451	+	0.987908i	0.227873	+	0.0669096i
$219$	8.11926	+	2.38403i	0.548649	+	0.161098i
$220$	9.40481	+	20.5937i	0.634072	+	1.38842i
$221$	0.117059	−	0.814163i	0.00787424	−	0.0547665i
$222$	−10.2234	+	11.7984i	−0.686148	+	0.791857i
$223$	−5.86338	+	12.8390i	−0.392641	+	0.859763i	0.605323	+	0.795980i	$0.293044\pi$
$223$	−5.86338	+	12.8390i	−0.392641	+	0.859763i	−0.997964	+	0.0637833i	$0.979683\pi$
$224$	3.55358	+	2.28375i	0.237434	+	0.152589i
$225$	−0.183362	−	1.27531i	−0.0122241	−	0.0850207i
$226$	10.9859	−	7.06018i	0.730768	−	0.469636i
$227$	9.28252	+	10.7126i	0.616103	+	0.711021i	0.974962	−	0.222371i	$-0.0713797\pi$
$227$	9.28252	+	10.7126i	0.616103	+	0.711021i	−0.358859	+	0.933392i	$0.616834\pi$
$228$	−21.2545	+	6.24089i	−1.40762	+	0.413313i
$229$	15.9629			1.05486			0.527428	−	0.849600i	$-0.323156\pi$
$229$	15.9629			1.05486			0.527428	+	0.849600i	$0.323156\pi$
$230$		0			0
$231$	−6.94697			−0.457077
$232$	25.6762	−	7.53922i	1.68573	−	0.494974i
$233$	13.2244	+	15.2617i	0.866358	+	0.999830i	0.999961	+	0.00879505i	$0.00279959\pi$
$233$	13.2244	+	15.2617i	0.866358	+	0.999830i	−0.133604	+	0.991035i	$0.542655\pi$
$234$	−0.132009	+	0.0848368i	−0.00862968	+	0.00554596i
$235$	−0.00196869	−	0.0136925i	−0.000128423	−	0.000893203i
$236$	16.9484	+	10.8921i	1.10325	+	0.709015i
$237$	7.11007	−	15.5689i	0.461849	−	1.01131i
$238$	−12.2035	+	14.0836i	−0.791037	+	0.912906i
$239$	3.01698	−	20.9835i	0.195152	−	1.35731i	−0.622960	−	0.782254i	$-0.714070\pi$
$239$	3.01698	−	20.9835i	0.195152	−	1.35731i	0.818112	−	0.575059i	$-0.195021\pi$
$240$	5.87852	+	12.8722i	0.379457	+	0.830895i
$241$	21.4781	+	6.30653i	1.38352	+	0.406239i	0.886994	−	0.461781i	$-0.152789\pi$
$241$	21.4781	+	6.30653i	1.38352	+	0.406239i	0.496529	+	0.868020i	$0.334608\pi$
$242$	3.79945	+	1.11562i	0.244238	+	0.0717148i
$243$	1.95918	+	4.29001i	0.125682	+	0.275204i
$244$	−8.32900	+	57.9294i	−0.533209	+	3.70855i
$245$	5.31716	−	6.13633i	0.339701	−	0.392036i
$246$	−1.70301	+	3.72908i	−0.108580	+	0.237757i
$247$	−0.369064	−	0.237183i	−0.0234830	−	0.0150916i
$248$	2.38400	+	16.5811i	0.151384	+	1.05290i
$249$	2.34871	−	1.50942i	0.148843	−	0.0956559i
$250$	−19.0172	−	21.9470i	−1.20275	−	1.38805i
$251$	−19.3333	+	5.67678i	−1.22031	+	0.358315i	−0.827584	−	0.561341i	$-0.810285\pi$
$251$	−19.3333	+	5.67678i	−1.22031	+	0.358315i	−0.392724	+	0.919656i	$0.628467\pi$
$252$	2.42954			0.153047
$253$		0			0
$254$	−49.4316			−3.10162
$255$	−13.6521	+	4.00862i	−0.854928	+	0.251029i
$256$	20.8226	+	24.0306i	1.30141	+	1.50191i
$257$	1.75957	−	1.13081i	0.109759	−	0.0705380i	−0.484610	−	0.874731i	$-0.661038\pi$
$257$	1.75957	−	1.13081i	0.109759	−	0.0705380i	0.594369	+	0.804193i	$0.297402\pi$
$258$	1.80529	+	12.5561i	0.112392	+	0.781706i
$259$	4.02704	+	2.58802i	0.250228	+	0.160812i
$260$	−0.361496	+	0.791567i	−0.0224191	+	0.0490909i
$261$	1.37846	−	1.59083i	0.0853247	−	0.0984699i
$262$	−2.50350	+	17.4122i	−0.154667	+	1.07573i
$263$	−2.34903	−	5.14366i	−0.144847	−	0.317172i	0.823278	−	0.567639i	$-0.192143\pi$
$263$	−2.34903	−	5.14366i	−0.144847	−	0.317172i	−0.968125	+	0.250467i	$0.919416\pi$
$264$	31.5893	+	9.27546i	1.94419	+	0.570865i
$265$	−13.3497	−	3.91984i	−0.820068	−	0.240794i
$266$	4.12894	+	9.04112i	0.253162	+	0.554347i
$267$	−1.99892	+	13.9028i	−0.122332	+	0.850836i
$268$	27.4942	−	31.7301i	1.67948	−	1.93822i
$269$	11.8218	−	25.8862i	0.720790	−	1.57831i	−0.0920047	−	0.995759i	$-0.529327\pi$
$269$	11.8218	−	25.8862i	0.720790	−	1.57831i	0.812794	−	0.582551i	$-0.197945\pi$
$270$	17.2397	+	11.0793i	1.04917	+	0.674262i
$271$	4.10334	+	28.5394i	0.249260	+	1.73364i	0.602508	+	0.798113i	$0.294168\pi$
$271$	4.10334	+	28.5394i	0.249260	+	1.73364i	−0.353247	+	0.935530i	$0.614923\pi$
$272$	30.4670	−	19.5800i	1.84733	−	1.18721i
$273$	−0.174863	−	0.201803i	−0.0105832	−	0.0122137i
$274$	−29.8735	+	8.77165i	−1.80472	+	0.529915i
$275$	−9.97504			−0.601517
$276$		0			0
$277$	−1.64325			−0.0987332			−0.0493666	−	0.998781i	$-0.515720\pi$
$277$	−1.64325			−0.0987332			−0.0493666	+	0.998781i	$0.515720\pi$
$278$	−30.1746	+	8.86006i	−1.80975	+	0.531391i
$279$	0.862902	+	0.995842i	0.0516606	+	0.0596195i
$280$	8.90149	−	5.72064i	0.531966	−	0.341874i
$281$	3.68650	+	25.6401i	0.219918	+	1.52956i	0.738335	+	0.674435i	$0.235613\pi$
$281$	3.68650	+	25.6401i	0.219918	+	1.52956i	−0.518417	+	0.855128i	$0.673478\pi$
$282$	−0.0315321	−	0.0202644i	−0.00187771	−	0.00120673i
$283$	−5.89207	+	12.9018i	−0.350247	+	0.766935i	0.649730	+	0.760165i	$0.274882\pi$
$283$	−5.89207	+	12.9018i	−0.350247	+	0.766935i	−0.999977	+	0.00676946i	$0.997845\pi$
$284$	1.96815	−	2.27137i	0.116788	−	0.134781i
$285$	−1.08001	+	7.51164i	−0.0639743	+	0.444951i
$286$	0.504677	+	1.10509i	0.0298422	+	0.0653452i
$287$	1.20612	+	0.354149i	0.0711951	+	0.0209048i
$288$	−1.51092	−	0.443645i	−0.0890316	−	0.0261420i
$289$	8.06509	+	17.6601i	0.474417	+	1.03883i
$290$	2.43095	−	16.9076i	0.142750	−	0.992849i
$291$	18.8102	−	21.7081i	1.10267	−	1.27255i
$292$	−9.51790	+	20.8413i	−0.556993	+	1.21964i
$293$	−19.2822	−	12.3919i	−1.12648	−	0.723943i	−0.161656	−	0.986847i	$-0.551683\pi$
$293$	−19.2822	−	12.3919i	−1.12648	−	0.723943i	−0.964822	+	0.262904i	$0.915320\pi$
$294$	−3.13097	−	21.7764i	−0.182602	−	1.27002i
$295$	5.80628	−	3.73147i	0.338054	−	0.217254i
$296$	−14.8563	−	17.1451i	−0.863505	−	0.996538i
$297$	18.7594	−	5.50827i	1.08853	−	0.319622i
$298$	−8.95245			−0.518602
$299$		0			0
$300$	−19.3599			−1.11775
$301$	3.73209	−	1.09584i	0.215114	−	0.0631632i
$302$	−9.24038	−	10.6640i	−0.531724	−	0.613642i
$303$	−1.73681	+	1.11618i	−0.0997771	+	0.0641228i
$304$	−2.74899	−	19.1197i	−0.157665	−	1.09659i
$305$	16.8670	+	10.8398i	0.965801	+	0.620682i
$306$	2.88588	−	6.31919i	0.164975	−	0.361244i
$307$	−2.64393	+	3.05126i	−0.150897	+	0.174145i	−0.826166	−	0.563428i	$-0.809482\pi$
$307$	−2.64393	+	3.05126i	−0.150897	+	0.174145i	0.675268	+	0.737572i	$0.264028\pi$
$308$	2.67689	−	18.6182i	0.152530	−	1.06087i
$309$	2.51621	+	5.50973i	0.143142	+	0.313438i
$310$	10.2597	+	3.01251i	0.582711	+	0.171099i
$311$	0.807978	+	0.237244i	0.0458162	+	0.0134529i	0.304560	−	0.952493i	$-0.401490\pi$
$311$	0.807978	+	0.237244i	0.0458162	+	0.0134529i	−0.258744	+	0.965946i	$0.583309\pi$
$312$	0.525696	+	1.15111i	0.0297617	+	0.0651690i
$313$	3.80141	−	26.4394i	0.214868	−	1.49444i	−0.541724	−	0.840556i	$-0.682228\pi$
$313$	3.80141	−	26.4394i	0.214868	−	1.49444i	0.756593	−	0.653887i	$-0.226863\pi$
$314$	−24.0060	+	27.7044i	−1.35474	+	1.56345i
$315$	0.345760	−	0.757108i	0.0194814	−	0.0426582i
$316$	38.9855	+	25.0544i	2.19310	+	1.40942i
$317$	−0.182478	−	1.26916i	−0.0102490	−	0.0712833i	0.984055	−	0.177864i	$-0.0569188\pi$
$317$	−0.182478	−	1.26916i	−0.0102490	−	0.0712833i	−0.994304	+	0.106581i	$0.966010\pi$
$318$	−31.7144	+	20.3816i	−1.77846	+	1.14294i
$319$	−10.6721	−	12.3163i	−0.597524	−	0.689579i
$320$	4.77149	−	1.40104i	0.266735	−	0.0783203i
$321$	−9.13215			−0.509707
$322$		0			0
$323$	19.4220			1.08067
$324$	30.7173	−	9.01942i	1.70652	−	0.501079i
$325$	−0.251083	−	0.289765i	−0.0139276	−	0.0160733i
$326$	−26.1555	+	16.8091i	−1.44862	+	0.930972i
$327$	−0.316565	−	2.20176i	−0.0175061	−	0.121758i
$328$	−5.01163	−	3.22078i	−0.276721	−	0.177838i
$329$	−0.00477443	+	0.0104545i	−0.000263223	+	0.000576378i
$330$	13.7621	−	15.8823i	0.757576	−	0.874289i
$331$	−0.494274	+	3.43775i	−0.0271678	+	0.188956i	−0.998886	−	0.0471871i	$-0.984974\pi$
$331$	−0.494274	+	3.43775i	−0.0271678	+	0.188956i	0.971718	+	0.236143i	$0.0758834\pi$
$332$	3.14028	+	6.87626i	0.172346	+	0.377384i
$333$	−1.71222	−	0.502754i	−0.0938292	−	0.0275507i
$334$	−28.4771	−	8.36163i	−1.55820	−	0.457528i
$335$	−5.97507	−	13.0836i	−0.326453	−	0.714832i
$336$	1.67320	−	11.6374i	0.0912807	−	0.634871i
$337$	−12.2126	+	14.0941i	−0.665262	+	0.767754i	−0.983627	−	0.180215i	$-0.942321\pi$
$337$	−12.2126	+	14.0941i	−0.665262	+	0.767754i	0.318365	+	0.947968i	$0.396866\pi$
$338$	13.5536	−	29.6783i	0.737219	−	1.61429i
$339$	−6.96894	−	4.47867i	−0.378501	−	0.243248i
$340$	−5.48267	−	38.1328i	−0.297340	−	2.06804i
$341$	8.58213	−	5.51540i	0.464748	−	0.298676i
$342$	−2.42641	−	2.80023i	−0.131205	−	0.151419i
$343$	−14.7252	+	4.32372i	−0.795088	+	0.233459i
$344$	−18.4337			−0.993880
$345$		0			0
$346$	6.14468			0.330340
$347$	13.8955	−	4.08008i	0.745949	−	0.219030i	0.113398	−	0.993550i	$-0.463826\pi$
$347$	13.8955	−	4.08008i	0.745949	−	0.219030i	0.632550	+	0.774519i	$0.282008\pi$
$348$	−20.7128	−	23.9039i	−1.11032	−	1.28138i
$349$	23.8495	−	15.3271i	1.27663	−	0.820442i	0.286163	−	0.958181i	$-0.407620\pi$
$349$	23.8495	−	15.3271i	1.27663	−	0.820442i	0.990469	+	0.137739i	$0.0439836\pi$
$350$	1.23623	+	8.59820i	0.0660795	+	0.459593i
$351$	0.632206	+	0.406294i	0.0337447	+	0.0216864i
$352$	−5.06450	+	11.0897i	−0.269939	+	0.591083i
$353$	7.28091	−	8.40262i	0.387524	−	0.447226i	−0.528149	−	0.849152i	$-0.677114\pi$
$353$	7.28091	−	8.40262i	0.387524	−	0.447226i	0.915672	+	0.401926i	$0.131659\pi$
$354$	2.66146	−	18.5108i	0.141455	−	0.983840i
$355$	−0.427721	−	0.936577i	−0.0227010	−	0.0497084i
$356$	−36.4898	−	10.7144i	−1.93395	−	0.567860i
$357$	11.3426	+	3.33048i	0.600313	+	0.176268i
$358$	−22.6079	−	49.5044i	−1.19486	−	2.61639i
$359$	−0.546812	+	3.80316i	−0.0288596	+	0.200723i	−0.999150	−	0.0412199i	$-0.986876\pi$
$359$	−0.546812	+	3.80316i	−0.0288596	+	0.200723i	0.970290	+	0.241943i	$0.0777847\pi$
$360$	−2.58312	+	2.98108i	−0.136142	+	0.157116i
$361$	−3.58963	+	7.86019i	−0.188928	+	0.413694i
$362$	−3.12573	−	2.00878i	−0.164285	−	0.105579i
$363$	−0.357489	−	2.48639i	−0.0187633	−	0.130502i
$364$	0.608220	−	0.390879i	0.0318794	−	0.0204877i
$365$	5.14015	+	5.93205i	0.269048	+	0.310498i
$366$	52.1256	−	15.3054i	2.72465	−	0.800028i
$367$	8.47757			0.442525			0.221263	−	0.975214i	$-0.428982\pi$
$367$	8.47757			0.442525			0.221263	+	0.975214i	$0.428982\pi$
$368$		0			0
$369$	−0.468606			−0.0243947
$370$	−13.8944	+	4.07976i	−0.722335	+	0.212097i
$371$	7.56994	+	8.73618i	0.393012	+	0.453560i
$372$	16.6565	−	10.7045i	0.863600	−	0.555002i
$373$	−0.279543	−	1.94426i	−0.0144742	−	0.100670i	0.981304	−	0.192466i	$-0.0616484\pi$
$373$	−0.279543	−	1.94426i	−0.0144742	−	0.100670i	−0.995778	+	0.0917957i	$0.970739\pi$
$374$	−45.2458	−	29.0777i	−2.33960	−	1.50357i
$375$	−7.65268	+	16.7570i	−0.395183	+	0.865330i
$376$	0.0356690	−	0.0411642i	0.00183949	−	0.00212288i
$377$	0.0891468	−	0.620030i	0.00459129	−	0.0319332i
$378$	−7.07287	−	15.4874i	−0.363789	−	0.796588i
$379$	−17.4061	−	5.11089i	−0.894091	−	0.262529i	−0.197761	−	0.980250i	$-0.563367\pi$
$379$	−17.4061	−	5.11089i	−0.894091	−	0.262529i	−0.696330	+	0.717721i	$0.745185\pi$
$380$	−19.7153	−	5.78894i	−1.01137	−	0.296966i
$381$	13.0263	+	28.5236i	0.667356	+	1.46131i
$382$	−4.07037	+	28.3101i	−0.208258	+	1.44847i
$383$	−13.1595	+	15.1869i	−0.672420	+	0.776014i	−0.984753	−	0.173958i	$-0.944344\pi$
$383$	−13.1595	+	15.1869i	−0.672420	+	0.776014i	0.312333	+	0.949973i	$0.398890\pi$
$384$	10.1514	−	22.2285i	0.518038	−	1.13434i
$385$	−5.42094	−	3.48383i	−0.276277	−	0.177552i
$386$	0.597980	+	4.15904i	0.0304364	+	0.211690i
$387$	−1.21982	+	0.783932i	−0.0620070	+	0.0398495i
$388$	50.9304	+	58.7768i	2.58560	+	2.98394i
$389$	16.6633	−	4.89280i	0.844865	−	0.248075i	0.169474	−	0.985535i	$-0.445793\pi$
$389$	16.6633	−	4.89280i	0.844865	−	0.248075i	0.675391	+	0.737460i	$0.263975\pi$
$390$	0.807771			0.0409031
$391$		0			0
$392$	31.9702			1.61474
$393$	10.7071	−	3.14389i	0.540103	−	0.158588i
$394$	−25.1505	−	29.0253i	−1.26707	−	1.46227i
$395$	13.3558	−	8.58327i	0.672005	−	0.431871i
$396$	0.997905	+	6.94058i	0.0501466	+	0.348777i
$397$	−30.4230	−	19.5517i	−1.52689	−	0.981270i	−0.990533	−	0.137277i	$-0.956165\pi$
$397$	−30.4230	−	19.5517i	−1.52689	−	0.981270i	−0.536354	−	0.843993i	$-0.680199\pi$
$398$	3.95514	−	8.66054i	0.198253	−	0.434114i
$399$	4.12894	−	4.76505i	0.206706	−	0.238551i
$400$	2.40252	−	16.7099i	0.120126	−	0.835495i
$401$	−8.38339	−	18.3571i	−0.418646	−	0.916708i	−0.995034	−	0.0995315i	$-0.968266\pi$
$401$	−8.38339	−	18.3571i	−0.418646	−	0.916708i	0.576388	−	0.817176i	$-0.304462\pi$
$402$	−37.3939	−	10.9798i	−1.86504	−	0.547625i
$403$	0.376239	+	0.110474i	0.0187418	+	0.00550309i
$404$	−2.32216	−	5.08482i	−0.115532	−	0.252979i
$405$	1.56085	−	10.8559i	0.0775590	−	0.539435i
$406$	−9.29366	+	10.7254i	−0.461236	+	0.532295i
$407$	−5.73926	+	12.5672i	−0.284485	+	0.622935i
$408$	−47.1302	−	30.2887i	−2.33329	−	1.49952i
$409$	3.54860	+	24.6810i	0.175467	+	1.22040i	0.867094	+	0.498144i	$0.165985\pi$
$409$	3.54860	+	24.6810i	0.175467	+	1.22040i	−0.691627	+	0.722254i	$0.743106\pi$
$410$	−3.19900	+	2.05587i	−0.157987	+	0.101532i
$411$	12.9338	+	14.9264i	0.637978	+	0.736266i
$412$	−15.7359	+	4.62047i	−0.775251	+	0.227634i
$413$	−5.73433			−0.282168
$414$		0			0
$415$	2.58973			0.127125
$416$	−0.449625	+	0.132022i	−0.0220447	+	0.00647290i
$417$	13.0642	+	15.0768i	0.639755	+	0.738316i
$418$	−24.1323	+	15.5089i	−1.18035	+	0.758564i
$419$	−4.71836	−	32.8169i	−0.230507	−	1.60321i	−0.695920	−	0.718119i	$-0.745003\pi$
$419$	−4.71836	−	32.8169i	−0.230507	−	1.60321i	0.465413	−	0.885094i	$-0.345906\pi$
$420$	−10.5212	−	6.76154i	−0.513380	−	0.329930i
$421$	−4.09509	+	8.96700i	−0.199583	+	0.437025i	−0.982788	−	0.184738i	$-0.940856\pi$
$421$	−4.09509	+	8.96700i	−0.199583	+	0.437025i	0.783205	+	0.621763i	$0.213583\pi$
$422$	4.01167	−	4.62971i	0.195285	−	0.225371i
$423$	0.000609745	−	0.00424087i	2.96468e−5	−	0.000206198i
$424$	−22.7577	−	49.8324i	−1.10521	−	2.42008i
$425$	16.2866	+	4.78218i	0.790016	+	0.231970i
$426$	−2.67681	−	0.785983i	−0.129692	−	0.0380810i
$427$	−6.91998	−	15.1526i	−0.334881	−	0.733288i
$428$	3.51891	−	24.4745i	0.170093	−	1.18302i
$429$	0.504677	−	0.582428i	0.0243660	−	0.0281199i
$430$	−4.88800	+	10.7032i	−0.235720	+	0.516155i
$431$	33.4570	+	21.5015i	1.61156	+	1.03569i	0.961118	+	0.276138i	$0.0890546\pi$
$431$	33.4570	+	21.5015i	1.61156	+	1.03569i	0.650447	+	0.759552i	$0.274582\pi$
$432$	4.70902	+	32.7520i	0.226563	+	1.57578i
$433$	13.7496	−	8.83634i	0.660765	−	0.424648i	−0.166821	−	0.985987i	$-0.553350\pi$
$433$	13.7496	−	8.83634i	0.660765	−	0.424648i	0.827586	+	0.561340i	$0.189714\pi$
$434$	−5.81772	−	6.71401i	−0.279260	−	0.322283i
$435$	−10.3968	+	3.05278i	−0.498489	+	0.146370i
$436$	6.02278			0.288439
$437$		0			0
$438$	21.2679			1.01622
$439$	22.6929	−	6.66324i	1.08307	−	0.318019i	0.308966	−	0.951073i	$-0.400017\pi$
$439$	22.6929	−	6.66324i	1.08307	−	0.318019i	0.774107	+	0.633054i	$0.218199\pi$
$440$	19.9986	+	23.0796i	0.953396	+	1.10028i
$441$	2.11558	−	1.35960i	0.100742	−	0.0647428i
$442$	−0.294209	−	2.04627i	−0.0139941	−	0.0973310i
$443$	16.5038	+	10.6063i	0.784117	+	0.503922i	0.870398	−	0.492349i	$-0.163862\pi$
$443$	16.5038	+	10.6063i	0.784117	+	0.503922i	−0.0862804	+	0.996271i	$0.527498\pi$
$444$	−11.1390	+	24.3910i	−0.528632	+	1.15754i
$445$	−8.53191	+	9.84635i	−0.404451	+	0.466762i
$446$	−5.04855	+	35.1134i	−0.239056	+	1.66267i
$447$	2.35916	+	5.16584i	0.111584	+	0.244336i
$448$	−3.96430	−	1.16402i	−0.187296	−	0.0549949i
$449$	4.28420	+	1.25796i	0.202184	+	0.0593666i	0.381257	−	0.924469i	$-0.375491\pi$
$449$	4.28420	+	1.25796i	0.202184	+	0.0593666i	−0.179072	+	0.983836i	$0.557310\pi$
$450$	−1.34522	−	2.94561i	−0.0634141	−	0.138857i
$451$	−0.516314	+	3.59104i	−0.0243123	+	0.169096i
$452$	14.6884	−	16.9513i	0.690882	−	0.797321i
$453$	−3.71840	+	8.14216i	−0.174706	+	0.382552i
$454$	29.9706	+	19.2609i	1.40659	+	0.903959i
$455$	−0.0352494	−	0.245165i	−0.00165252	−	0.0114935i
$456$	−25.1373	+	16.1548i	−1.17716	+	0.756517i
$457$	−6.65892	−	7.68480i	−0.311491	−	0.359480i	0.578319	−	0.815811i	$-0.303709\pi$
$457$	−6.65892	−	7.68480i	−0.311491	−	0.359480i	−0.889810	+	0.456331i	$0.849163\pi$
$458$	38.4949	−	11.3031i	1.79875	−	0.528161i
$459$	−33.2699			−1.55291
$460$		0			0
$461$	30.3196			1.41213			0.706063	−	0.708149i	$-0.250469\pi$
$461$	30.3196			1.41213			0.706063	+	0.708149i	$0.250469\pi$
$462$	−16.7528	+	4.91908i	−0.779412	+	0.228856i
$463$	−22.6582	−	26.1489i	−1.05301	−	1.21524i	−0.975899	−	0.218222i	$-0.929974\pi$
$463$	−22.6582	−	26.1489i	−1.05301	−	1.21524i	−0.0771155	−	0.997022i	$-0.524571\pi$
$464$	23.2023	−	14.9112i	1.07714	−	0.692236i
$465$	−0.965329	−	6.71401i	−0.0447661	−	0.311355i
$466$	42.6976	+	27.4401i	1.97793	+	1.27114i
$467$	4.68290	−	10.2541i	0.216699	−	0.474505i	−0.769797	−	0.638288i	$-0.779643\pi$
$467$	4.68290	−	10.2541i	0.216699	−	0.474505i	0.986496	+	0.163784i	$0.0523700\pi$
$468$	−0.176499	+	0.203691i	−0.00815867	+	0.00941560i
$469$	−1.70068	+	11.8285i	−0.0785302	+	0.546190i
$470$	−0.0144431	−	0.0316259i	−0.000666210	−	0.00145880i
$471$	22.3124	+	6.55151i	1.02810	+	0.301878i
$472$	26.0752	+	7.65637i	1.20021	+	0.352413i
$473$	4.66345	+	10.2115i	0.214426	+	0.469527i
$474$	6.12199	−	42.5794i	0.281192	−	1.95574i
$475$	5.92867	−	6.84205i	0.272026	−	0.313935i
$476$	−13.2965	+	29.1152i	−0.609443	+	1.33449i
$477$	−3.62518	−	2.32976i	−0.165986	−	0.106672i
$478$	−7.58268	−	52.7387i	−0.346824	−	2.41221i
$479$	14.2248	−	9.14175i	0.649950	−	0.417697i	−0.173698	−	0.984799i	$-0.555572\pi$
$479$	14.2248	−	9.14175i	0.649950	−	0.417697i	0.823648	+	0.567102i	$0.191935\pi$
$480$	5.30836	+	6.12617i	0.242292	+	0.279620i
$481$	−0.509530	+	0.149612i	−0.0232326	+	0.00682170i
$482$	56.2605			2.56260
$483$		0			0
$484$	6.80138			0.309154
$485$	25.5645	−	7.50643i	1.16083	−	0.340849i
$486$	7.76233	+	8.95821i	0.352107	+	0.406353i
$487$	−29.9968	+	19.2778i	−1.35928	+	0.873559i	−0.998258	−	0.0589967i	$-0.981210\pi$
$487$	−29.9968	+	19.2778i	−1.35928	+	0.873559i	−0.361026	+	0.932556i	$0.617573\pi$
$488$	11.2351	+	78.1416i	0.508587	+	3.53730i
$489$	16.5919	+	10.6630i	0.750313	+	0.482197i
$490$	8.47742	−	18.5630i	0.382971	−	0.838589i
$491$	−8.04762	+	9.28745i	−0.363184	+	0.419137i	−0.907704	−	0.419611i	$-0.862166\pi$
$491$	−8.04762	+	9.28745i	−0.363184	+	0.419137i	0.544520	+	0.838748i	$0.316712\pi$
$492$	−1.00208	+	6.96963i	−0.0451773	+	0.314215i
$493$	11.5201	+	25.2256i	0.518841	+	1.13610i
$494$	−1.05796	−	0.310644i	−0.0475996	−	0.0139765i
$495$	2.30488	+	0.676775i	0.103597	+	0.0304188i
$496$	7.17221	+	15.7049i	0.322042	+	0.705173i
$497$	−0.121742	+	0.846734i	−0.00546087	+	0.0379812i
$498$	4.59518	−	5.30312i	0.205915	−	0.237638i
$499$	−11.4817	+	25.1415i	−0.513993	+	1.12549i	0.457671	+	0.889122i	$0.348684\pi$
$499$	−11.4817	+	25.1415i	−0.513993	+	1.12549i	−0.971664	+	0.236366i	$0.924043\pi$
$500$	−41.9607	−	26.9665i	−1.87654	−	1.20598i
$501$	2.67940	+	18.6356i	0.119707	+	0.832578i
$502$	−42.6032	+	27.3794i	−1.90147	+	1.22200i
$503$	−8.68199	−	10.0196i	−0.387111	−	0.446750i	0.528429	−	0.848978i	$-0.322781\pi$
$503$	−8.68199	−	10.0196i	−0.387111	−	0.446750i	−0.915540	+	0.402228i	$0.868236\pi$
$504$	3.14448	−	0.923303i	0.140066	−	0.0411272i
$505$	−1.91504			−0.0852181
$506$		0			0
$507$	−20.6969			−0.919183
$508$	−81.4637	+	23.9199i	−3.61437	+	1.06127i
$509$	7.35280	+	8.48558i	0.325907	+	0.376117i	0.894931	−	0.446204i	$-0.147224\pi$
$509$	7.35280	+	8.48558i	0.325907	+	0.376117i	−0.569024	+	0.822321i	$0.692679\pi$
$510$	−30.0840	+	19.3338i	−1.33214	+	0.856115i
$511$	−0.928089	−	6.45500i	−0.0410562	−	0.285552i
$512$	41.4422	+	26.6333i	1.83150	+	1.17704i
$513$	−7.37147	+	16.1413i	−0.325458	+	0.712654i
$514$	3.44255	−	3.97292i	0.151844	−	0.175238i
$515$	−0.799590	+	5.56127i	−0.0352342	+	0.245059i
$516$	9.05100	+	19.8189i	0.398448	+	0.872479i
$517$	−0.0318270	−	0.00934525i	−0.00139975	−	0.000411004i
$518$	11.5439	+	3.38959i	0.507209	+	0.148930i
$519$	−1.61925	−	3.54567i	−0.0710773	−	0.155638i
$520$	−0.167053	+	1.16188i	−0.00732577	+	0.0509518i
$521$	17.1770	−	19.8233i	0.752537	−	0.868474i	−0.242275	−	0.970208i	$-0.577894\pi$
$521$	17.1770	−	19.8233i	0.752537	−	0.868474i	0.994812	+	0.101734i	$0.0324391\pi$
$522$	2.19775	−	4.81241i	0.0961930	−	0.210633i
$523$	24.1526	+	15.5219i	1.05612	+	0.678726i	0.948921	−	0.315512i	$-0.102176\pi$
$523$	24.1526	+	15.5219i	1.05612	+	0.678726i	0.107196	+	0.994238i	$0.465813\pi$
$524$	4.29997	+	29.9069i	0.187845	+	1.30649i
$525$	4.63565	−	2.97915i	0.202316	−	0.130021i
$526$	−9.30693	−	10.7408i	−0.405801	−	0.468320i
$527$	−16.6565	+	4.89079i	−0.725569	+	0.213046i
$528$	33.9323			1.47671
$529$		0			0
$530$	−34.9689			−1.51895
$531$	2.05109	−	0.602253i	0.0890096	−	0.0261356i
$532$	11.1795	+	12.9019i	0.484694	+	0.559366i
$533$	−0.117313	+	0.0753923i	−0.00508137	+	0.00326560i
$534$	5.02396	+	34.9424i	0.217408	+	1.51210i
$535$	−7.12611	−	4.57967i	−0.308088	−	0.197996i
$536$	23.5265	−	51.5159i	1.01619	−	2.22515i
$537$	−22.6079	+	26.0909i	−0.975603	+	1.12591i
$538$	10.1790	−	70.7962i	0.438846	−	3.05224i
$539$	−8.08797	−	17.7102i	−0.348374	−	0.762832i
$540$	33.7723	+	9.91645i	1.45333	+	0.426736i
$541$	−5.09502	−	1.49603i	−0.219052	−	0.0643195i	0.170365	−	0.985381i	$-0.445505\pi$
$541$	−5.09502	−	1.49603i	−0.219052	−	0.0643195i	−0.389417	+	0.921062i	$0.627323\pi$
$542$	30.1037	+	65.9180i	1.29307	+	2.83142i
$543$	−0.335435	+	2.33300i	−0.0143949	+	0.100119i
$544$	13.5856	−	15.6786i	0.582476	−	0.672213i
$545$	0.857131	−	1.87686i	0.0367155	−	0.0803957i
$546$	−0.564582	−	0.362835i	−0.0241619	−	0.0155279i
$547$	−4.28990	−	29.8369i	−0.183423	−	1.27573i	−0.848595	−	0.529043i	$-0.822551\pi$
$547$	−4.28990	−	29.8369i	−0.183423	−	1.27573i	0.665172	−	0.746690i	$-0.268358\pi$
$548$	−44.9872	+	28.9115i	−1.92176	+	1.23504i
$549$	4.06659	+	4.69310i	0.173558	+	0.200297i
$550$	−24.0551	+	7.06321i	−1.02571	+	0.301176i
$551$	14.7909			0.630115
$552$		0			0
$553$	−13.1903			−0.560910
$554$	−3.96274	+	1.16357i	−0.168361	+	0.0494352i
$555$	6.01561	+	6.94239i	0.255349	+	0.294688i
$556$	−45.4406	+	29.2029i	−1.92711	+	1.23848i
$557$	−0.608475	−	4.23203i	−0.0257819	−	0.179317i	0.972861	−	0.231388i	$-0.0743268\pi$
$557$	−0.608475	−	4.23203i	−0.0257819	−	0.179317i	−0.998643	+	0.0520713i	$0.983418\pi$
$558$	2.78606	+	1.79049i	0.117943	+	0.0757975i
$559$	−0.179251	+	0.392505i	−0.00758151	+	0.0166012i
$560$	7.14167	−	8.24192i	0.301790	−	0.348285i
$561$	−4.85551	+	33.7708i	−0.205000	+	1.42580i
$562$	27.0456	+	59.2216i	1.14085	+	2.49811i
$563$	−13.9833	−	4.10586i	−0.589325	−	0.173041i	−0.0265441	−	0.999648i	$-0.508450\pi$
$563$	−13.9833	−	4.10586i	−0.589325	−	0.173041i	−0.562781	+	0.826606i	$0.690268\pi$
$564$	−0.0617710	−	0.0181376i	−0.00260103	−	0.000763731i
$565$	−3.19209	−	6.98969i	−0.134292	−	0.294059i
$566$	−5.07326	+	35.2853i	−0.213245	+	1.48315i
$567$	−5.96720	+	6.88652i	−0.250599	+	0.289207i
$568$	1.68413	−	3.68772i	0.0706644	−	0.154734i
$569$	15.3971	+	9.89513i	0.645481	+	0.414825i	0.822012	−	0.569470i	$-0.192851\pi$
$569$	15.3971	+	9.89513i	0.645481	+	0.414825i	−0.176531	+	0.984295i	$0.556488\pi$
$570$	2.71443	+	18.8793i	0.113695	+	0.790766i
$571$	30.0902	−	19.3378i	1.25924	−	0.809261i	0.271056	−	0.962564i	$-0.412627\pi$
$571$	30.0902	−	19.3378i	1.25924	−	0.809261i	0.988179	+	0.153302i	$0.0489908\pi$
$572$	1.36646	+	1.57698i	0.0571347	+	0.0659369i
$573$	17.4084	−	5.11157i	0.727246	−	0.213539i
$574$	3.15937			0.131869
$575$		0			0
$576$	1.54022			0.0641760
$577$	−25.1262	+	7.37773i	−1.04602	+	0.307139i	−0.759208	−	0.650848i	$-0.774413\pi$
$577$	−25.1262	+	7.37773i	−1.04602	+	0.307139i	−0.286811	+	0.957987i	$0.592595\pi$
$578$	31.9541	+	36.8770i	1.32912	+	1.53388i
$579$	2.24232	−	1.44105i	0.0931874	−	0.0598879i
$580$	−4.17535	−	29.0402i	−0.173372	−	1.20583i
$581$	−1.81006	−	1.16326i	−0.0750941	−	0.0482601i
$582$	29.9900	−	65.6690i	1.24313	−	2.72207i
$583$	−21.8478	+	25.2137i	−0.904842	+	1.04424i
$584$	−4.39837	+	30.5914i	−0.182006	+	1.26588i
$585$	0.0383569	+	0.0839899i	0.00158586	+	0.00347255i
$586$	−55.2742	−	16.2300i	−2.28335	−	0.670453i
$587$	33.7626	+	9.91358i	1.39353	+	0.409177i	0.890457	−	0.455067i	$-0.150385\pi$
$587$	33.7626	+	9.91358i	1.39353	+	0.409177i	0.503073	+	0.864244i	$0.332203\pi$
$588$	−15.6974	−	34.3726i	−0.647351	−	1.41750i
$589$	−1.31769	+	9.16472i	−0.0542944	+	0.377626i
$590$	11.3598	−	13.1099i	0.467675	−	0.539726i
$591$	−10.1208	+	22.1614i	−0.416313	+	0.911598i
$592$	−19.6700	−	12.6411i	−0.808430	−	0.519547i
$593$	2.49603	+	17.3603i	0.102500	+	0.712900i	0.974662	+	0.223683i	$0.0718082\pi$
$593$	2.49603	+	17.3603i	0.102500	+	0.712900i	−0.872162	+	0.489217i	$0.837283\pi$
$594$	41.3386	−	26.5667i	1.69614	−	1.09004i
$595$	7.18077	+	8.28705i	0.294383	+	0.339736i
$596$	−14.7537	+	4.33208i	−0.604336	+	0.177449i
$597$	−6.03966			−0.247187
$598$		0			0
$599$	38.0735			1.55564			0.777821	−	0.628486i	$-0.216325\pi$
$599$	38.0735			1.55564			0.777821	+	0.628486i	$0.216325\pi$
$600$	−25.0569	+	7.35738i	−1.02295	+	0.300364i
$601$	−11.3073	−	13.0493i	−0.461233	−	0.532291i	0.476720	−	0.879055i	$-0.341826\pi$
$601$	−11.3073	−	13.0493i	−0.461233	−	0.532291i	−0.937952	+	0.346765i	$0.887280\pi$
$602$	8.22409	−	5.28530i	0.335189	−	0.215413i
$603$	−0.633990	−	4.40950i	−0.0258181	−	0.179569i
$604$	−20.3885	−	13.1029i	−0.829596	−	0.533149i
$605$	0.967937	−	2.11949i	0.0393522	−	0.0861694i
$606$	−3.39801	+	3.92151i	−0.138035	+	0.159301i
$607$	−3.56874	+	24.8211i	−0.144851	+	1.00746i	0.779633	+	0.626237i	$0.215406\pi$
$607$	−3.56874	+	24.8211i	−0.144851	+	1.00746i	−0.924484	+	0.381221i	$0.875504\pi$
$608$	−4.59654	−	10.0650i	−0.186414	−	0.408190i
$609$	8.63799	+	2.53634i	0.350029	+	0.102778i
$610$	48.3507	+	14.1971i	1.95766	+	0.574822i
$611$	−0.000529652	−	0.00115978i	−2.14274e−5	−	4.69195e-5i
$612$	1.69810	−	11.8106i	0.0686417	−	0.477413i
$613$	−21.4248	+	24.7255i	−0.865339	+	0.998655i	0.134631	+	0.990896i	$0.457015\pi$
$613$	−21.4248	+	24.7255i	−0.865339	+	0.998655i	−0.999970	+	0.00775883i	$0.997530\pi$
$614$	−4.21536	+	9.23035i	−0.170118	+	0.372507i
$615$	2.02931	+	1.30416i	0.0818296	+	0.0525887i
$616$	−3.61088	−	25.1142i	−0.145487	−	1.01188i
$617$	−17.2177	+	11.0651i	−0.693158	+	0.445466i	−0.839207	−	0.543812i	$-0.816981\pi$
$617$	−17.2177	+	11.0651i	−0.693158	+	0.445466i	0.146049	+	0.989277i	$0.453344\pi$
$618$	9.96930	+	11.5052i	0.401024	+	0.462806i
$619$	−0.236549	+	0.0694569i	−0.00950769	+	0.00279171i	−0.286483	−	0.958085i	$-0.592486\pi$
$619$	−0.236549	+	0.0694569i	−0.00950769	+	0.00279171i	0.276975	+	0.960877i	$0.410668\pi$
$620$	18.3658			0.737588
$621$		0			0
$622$	2.11645			0.0848620
$623$	10.3861	−	3.04962i	0.416109	−	0.122181i
$624$	0.854114	+	0.985700i	0.0341919	+	0.0394596i
$625$	−2.54337	+	1.63452i	−0.101735	+	0.0653809i
$626$	−9.55423	−	66.4511i	−0.381864	−	2.65592i
$627$	15.3085	+	9.83815i	0.611361	+	0.392898i
$628$	−26.1560	+	57.2736i	−1.04374	+	2.28547i
$629$	15.3956	−	17.7675i	0.613864	−	0.708436i
$630$	0.297710	−	2.07062i	0.0118610	−	0.0824954i
$631$	1.29278	+	2.83078i	0.0514646	+	0.112692i	0.933617	−	0.358271i	$-0.116634\pi$
$631$	1.29278	+	2.83078i	0.0514646	+	0.112692i	−0.882153	+	0.470963i	$0.843906\pi$
$632$	59.9792	+	17.6115i	2.38584	+	0.700547i
$633$	−3.72865	−	1.09483i	−0.148200	−	0.0435156i
$634$	−1.33873	−	2.93141i	−0.0531678	−	0.116421i
$635$	−4.13943	+	28.7904i	−0.164268	+	1.14251i
$636$	−42.4030	+	48.9356i	−1.68139	+	1.94042i
$637$	0.310881	−	0.680734i	0.0123175	−	0.0269717i
$638$	−34.4571	−	22.1443i	−1.36417	−	0.876700i
$639$	−0.0453837	−	0.315650i	−0.00179535	−	0.0124869i
$640$	19.0688	−	12.2548i	0.753762	−	0.484413i
$641$	−2.17545	−	2.51061i	−0.0859252	−	0.0991630i	0.711159	−	0.703031i	$-0.248171\pi$
$641$	−2.17545	−	2.51061i	−0.0859252	−	0.0991630i	−0.797084	+	0.603868i	$0.793625\pi$
$642$	−22.0224	+	6.46637i	−0.869157	+	0.255207i
$643$	4.99919			0.197149			0.0985744	−	0.995130i	$-0.468572\pi$
$643$	4.99919			0.197149			0.0985744	+	0.995130i	$0.468572\pi$
$644$		0			0
$645$	7.46418			0.293902
$646$	46.8368	−	13.7525i	1.84277	−	0.541086i
$647$	−10.8216	−	12.4888i	−0.425442	−	0.490987i	0.502045	−	0.864842i	$-0.332581\pi$
$647$	−10.8216	−	12.4888i	−0.425442	−	0.490987i	−0.927487	+	0.373855i	$0.878036\pi$
$648$	36.3288	−	23.3471i	1.42713	−	0.917162i
$649$	−2.35531	−	16.3815i	−0.0924540	−	0.643031i
$650$	−0.810674	−	0.520988i	−0.0317972	−	0.0204348i
$651$	−2.34110	+	5.12629i	−0.0917549	+	0.200915i
$652$	−34.9706	+	40.3582i	−1.36955	+	1.58055i
$653$	−2.12727	+	14.7955i	−0.0832467	+	0.578993i	0.904917	+	0.425589i	$0.139933\pi$
$653$	−2.12727	+	14.7955i	−0.0832467	+	0.578993i	−0.988163	+	0.153405i	$0.950976\pi$
$654$	−2.32245	−	5.08545i	−0.0908148	−	0.198857i
$655$	9.93173	+	2.91622i	0.388065	+	0.113946i
$656$	−5.89126	−	1.72983i	−0.230015	−	0.0675385i
$657$	1.00991	+	2.21138i	0.0394002	+	0.0862743i
$658$	−0.00411093	+	0.0285922i	−0.000160261	+	0.00111464i
$659$	8.64445	−	9.97623i	0.336740	−	0.388619i	−0.561973	−	0.827155i	$-0.689958\pi$
$659$	8.64445	−	9.97623i	0.336740	−	0.388619i	0.898713	+	0.438537i	$0.144503\pi$
$660$	14.9946	−	32.8335i	0.583663	−	1.27804i
$661$	−32.9504	−	21.1759i	−1.28162	−	0.823648i	−0.290535	−	0.956864i	$-0.593833\pi$
$661$	−32.9504	−	21.1759i	−1.28162	−	0.823648i	−0.991087	+	0.133216i	$0.957470\pi$
$662$	1.24228	+	8.64023i	0.0482825	+	0.335812i
$663$	−1.10323	+	0.709002i	−0.0428458	+	0.0275354i
$664$	6.67757	+	7.70633i	0.259140	+	0.299064i
$665$	5.61156	−	1.64770i	0.217607	−	0.0638952i
$666$	−4.48507			−0.173793
$667$		0			0
$668$	−50.9766			−1.97235
$669$	21.5919	−	6.33996i	0.834792	−	0.245117i
$670$	−23.6734	−	27.3206i	−0.914583	−	1.05549i
$671$	40.4450	−	25.9924i	1.56136	−	1.00343i
$672$	−0.958459	−	6.66623i	−0.0369734	−	0.257155i
$673$	−19.0167	−	12.2213i	−0.733038	−	0.471095i	0.120112	−	0.992760i	$-0.461675\pi$
$673$	−19.0167	−	12.2213i	−0.733038	−	0.471095i	−0.853150	+	0.521665i	$0.825311\pi$
$674$	−19.4712	+	42.6359i	−0.750001	+	1.64227i
$675$	−10.1558	+	11.7204i	−0.390897	+	0.451120i
$676$	7.97518	−	55.4686i	0.306738	−	2.13341i
$677$	0.476105	+	1.04252i	0.0182982	+	0.0400674i	0.918560	−	0.395281i	$-0.129353\pi$
$677$	0.476105	+	1.04252i	0.0182982	+	0.0400674i	−0.900262	+	0.435348i	$0.856625\pi$
$678$	−19.9771	−	5.86581i	−0.767216	−	0.225275i
$679$	−21.2398	−	6.23656i	−0.815108	−	0.239337i
$680$	−21.5877	−	47.2705i	−0.827852	−	1.81274i
$681$	3.21626	−	22.3696i	0.123247	−	0.857204i
$682$	16.7907	−	19.3775i	0.642948	−	0.742001i
$683$	6.79447	−	14.8778i	0.259983	−	0.569283i	−0.733958	−	0.679194i	$-0.762329\pi$
$683$	6.79447	−	14.8778i	0.259983	−	0.569283i	0.993941	+	0.109911i	$0.0350566\pi$
$684$	−5.35378	−	3.44066i	−0.204707	−	0.131557i
$685$	2.60724	+	18.1337i	0.0996173	+	0.692854i
$686$	−32.4488	+	20.8536i	−1.23890	+	0.796193i
$687$	−16.6665	−	19.2341i	−0.635866	−	0.733829i
$688$	−18.2293	+	5.35260i	−0.694985	+	0.204066i
$689$	−1.28237			−0.0488543
$690$		0			0
$691$	30.8862			1.17497			0.587483	−	0.809236i	$-0.300119\pi$
$691$	30.8862			1.17497			0.587483	+	0.809236i	$0.300119\pi$
$692$	10.1265	−	2.97340i	0.384951	−	0.113032i
$693$	−1.30698	−	1.50833i	−0.0496480	−	0.0572968i
$694$	30.6203	−	19.6785i	1.16233	−	0.746985i
$695$	2.63351	+	18.3165i	0.0998948	+	0.694783i
$696$	−35.8922	−	23.0665i	−1.36049	−	0.874335i
$697$	2.56460	−	5.61570i	0.0971413	−	0.212710i
$698$	46.6607	−	53.8493i	1.76613	−	2.03823i
$699$	4.58206	−	31.8689i	0.173309	−	1.20539i
$700$	6.19798	+	13.5717i	0.234262	+	0.512961i
$701$	9.68310	+	2.84321i	0.365726	+	0.107387i	0.459431	−	0.888213i	$-0.348053\pi$
$701$	9.68310	+	2.84321i	0.365726	+	0.107387i	−0.0937059	+	0.995600i	$0.529871\pi$
$702$	1.81228	+	0.532132i	0.0684000	+	0.0200840i
$703$	−5.20895	−	11.4060i	−0.196459	−	0.430186i
$704$	1.69703	−	11.8031i	0.0639592	−	0.444846i
$705$	−0.0144431	+	0.0166682i	−0.000543958	+	0.000627761i
$706$	11.6083	−	25.4187i	0.436885	−	0.956645i
$707$	1.33849	+	0.860198i	0.0503393	+	0.0323511i
$708$	−4.57127	−	31.7939i	−0.171799	−	1.19489i
$709$	−22.4791	+	14.4465i	−0.844222	+	0.542548i	−0.889768	−	0.456414i	$-0.849134\pi$
$709$	−22.4791	+	14.4465i	−0.844222	+	0.542548i	0.0455460	+	0.998962i	$0.485497\pi$
$710$	−1.69464	−	1.95572i	−0.0635987	−	0.0733968i
$711$	4.71799	−	1.38533i	0.176938	−	0.0519538i
$712$	−51.2994			−1.92253
$713$		0			0
$714$	29.7112			1.11191
$715$	0.685897	−	0.201397i	0.0256511	−	0.00753184i
$716$	−61.2131	−	70.6437i	−2.28764	−	2.64008i
$717$	−28.4337	+	18.2732i	−1.06187	+	0.682425i
$718$	1.37432	+	9.55862i	0.0512892	+	0.356725i
$719$	−13.4017	−	8.61274i	−0.499799	−	0.321201i	0.266337	−	0.963880i	$-0.414187\pi$
$719$	−13.4017	−	8.61274i	−0.499799	−	0.321201i	−0.766136	+	0.642679i	$0.777823\pi$
$720$	−1.68885	+	3.69807i	−0.0629398	+	0.137819i
$721$	3.05688	−	3.52783i	0.113844	−	0.131383i
$722$	−3.09078	+	21.4969i	−0.115027	+	0.800031i
$723$	−14.8258	−	32.4641i	−0.551379	−	1.20735i
$724$	−6.12328	−	1.79796i	−0.227570	−	0.0668205i
$725$	12.4031	+	3.64189i	0.460641	+	0.135256i
$726$	−2.62268	−	5.74287i	−0.0973368	−	0.213138i
$727$	4.12374	−	28.6812i	0.152941	−	1.06373i	−0.758315	−	0.651888i	$-0.773977\pi$
$727$	4.12374	−	28.6812i	0.152941	−	1.06373i	0.911256	−	0.411840i	$-0.135114\pi$
$728$	0.638654	−	0.737046i	0.0236701	−	0.0273168i
$729$	12.3659	−	27.0774i	0.457995	−	1.00287i
$730$	16.5960	+	10.6656i	0.614247	+	0.394753i
$731$	−2.71863	−	18.9085i	−0.100552	−	0.699355i
$732$	78.4971	−	50.4470i	2.90133	−	1.86457i
$733$	10.8000	+	12.4639i	0.398907	+	0.460363i	0.919296	−	0.393566i	$-0.128759\pi$
$733$	10.8000	+	12.4639i	0.398907	+	0.460363i	−0.520390	+	0.853929i	$0.674213\pi$
$734$	20.4439	−	6.00287i	0.754598	−	0.221570i
$735$	−12.9454			−0.477497
$736$		0			0
$737$	−34.4896			−1.27044
$738$	−1.13006	+	0.331815i	−0.0415980	+	0.0122143i
$739$	12.7262	+	14.6868i	0.468141	+	0.540263i	0.939894	−	0.341468i	$-0.110924\pi$
$739$	12.7262	+	14.6868i	0.468141	+	0.540263i	−0.471753	+	0.881731i	$0.656379\pi$
$740$	−20.9239	+	13.4470i	−0.769177	+	0.494320i
$741$	0.0995426	+	0.692334i	0.00365679	+	0.0254335i
$742$	24.4411	+	15.7074i	0.897262	+	0.576635i
$743$	22.1010	−	48.3945i	0.810808	−	1.77542i	0.206911	−	0.978360i	$-0.433659\pi$
$743$	22.1010	−	48.3945i	0.810808	−	1.77542i	0.603897	−	0.797062i	$-0.293614\pi$
$744$	17.4900	−	20.1845i	0.641213	−	0.740000i
$745$	−0.749683	+	5.21416i	−0.0274663	+	0.191032i
$746$	−2.05084	−	4.49070i	−0.0750864	−	0.164416i
$747$	0.769605	+	0.225976i	0.0281584	+	0.00826805i
$748$	−88.6361	−	26.0259i	−3.24086	−	0.951602i
$749$	2.92361	+	6.40182i	0.106826	+	0.233917i
$750$	−6.58919	+	45.8289i	−0.240603	+	1.67343i
$751$	−9.21905	+	10.6394i	−0.336408	+	0.388235i	−0.898598	−	0.438772i	$-0.855413\pi$
$751$	−9.21905	+	10.6394i	−0.336408	+	0.388235i	0.562190	+	0.827008i	$0.309959\pi$
$752$	0.0233205	−	0.0510649i	0.000850413	−	0.00186214i
$753$	27.0256	+	17.3683i	0.984868	+	0.632936i
$754$	−0.224056	−	1.55834i	−0.00815964	−	0.0567515i
$755$	−6.98479	+	4.48885i	−0.254202	+	0.163366i
$756$	−19.1505	−	22.1009i	−0.696497	−	0.803801i
$757$	17.7403	−	5.20902i	0.644782	−	0.189325i	0.0570380	−	0.998372i	$-0.481834\pi$
$757$	17.7403	−	5.20902i	0.644782	−	0.189325i	0.587744	+	0.809047i	$0.300016\pi$
$758$	−45.5943			−1.65606
$759$		0			0
$760$	−27.7169			−1.00540
$761$	17.2330	−	5.06005i	0.624694	−	0.183427i	0.0459603	−	0.998943i	$-0.485365\pi$
$761$	17.2330	−	5.06005i	0.624694	−	0.183427i	0.578734	+	0.815517i	$0.303547\pi$
$762$	51.6105	+	59.5616i	1.86965	+	2.15769i
$763$	−1.44213	+	0.926800i	−0.0522086	+	0.0335524i
$764$	6.99120	+	48.6249i	0.252933	+	1.75919i
$765$	−3.43881	−	2.20999i	−0.124330	−	0.0799023i
$766$	−20.9809	+	45.9418i	−0.758071	+	1.65994i
$767$	0.416582	−	0.480761i	0.0150419	−	0.0173593i
$768$	7.21474	−	50.1796i	0.260340	−	1.81070i
$769$	−6.05382	−	13.2560i	−0.218306	−	0.478024i	0.768516	−	0.639830i	$-0.220995\pi$
$769$	−6.05382	−	13.2560i	−0.218306	−	0.478024i	−0.986823	+	0.161806i	$0.948268\pi$
$770$	−15.5396	−	4.56285i	−0.560009	−	0.164434i
$771$	−3.19968	−	0.939511i	−0.115234	−	0.0338356i
$772$	2.99803	+	6.56477i	0.107902	+	0.236271i
$773$	−0.668616	+	4.65032i	−0.0240484	+	0.167261i	−0.998306	−	0.0581757i	$-0.981472\pi$
$773$	−0.668616	+	4.65032i	−0.0240484	+	0.167261i	0.974258	+	0.225436i	$0.0723807\pi$
$774$	−2.38654	+	2.75422i	−0.0857825	+	0.0989983i
$775$	−3.36154	+	7.36075i	−0.120750	+	0.264406i
$776$	88.2547	+	56.7179i	3.16816	+	2.03605i
$777$	−1.08616	−	7.55440i	−0.0389657	−	0.271013i
$778$	36.7196	−	23.5983i	1.31646	−	0.846039i
$779$	−2.15629	−	2.48849i	−0.0772571	−	0.0891594i
$780$	1.33121	−	0.390879i	0.0476651	−	0.0139957i
$781$	−2.46891			−0.0883445
$782$		0			0
$783$	−25.3369			−0.905466
$784$	31.6156	−	9.28319i	1.12913	−	0.331542i
$785$	14.1256	+	16.3018i	0.504163	+	0.581835i
$786$	23.5944	−	15.1632i	0.841584	−	0.540853i
$787$	2.42920	+	16.8955i	0.0865918	+	0.602259i	0.986200	+	0.165560i	$0.0529433\pi$
$787$	2.42920	+	16.8955i	0.0865918	+	0.602259i	−0.899608	+	0.436699i	$0.856148\pi$
$788$	−55.4936	−	35.6636i	−1.97688	−	1.27046i
$789$	−3.74518	+	8.20080i	−0.133332	+	0.291956i
$790$	26.1303	−	30.1559i	0.929673	−	1.07290i
$791$	−0.908562	+	6.31919i	−0.0323048	+	0.224685i
$792$	3.92920	+	8.60375i	0.139618	+	0.305721i
$793$	1.77310	+	0.520629i	0.0629646	+	0.0184881i
$794$	−87.2103	−	25.6072i	−3.09498	−	0.908767i
$795$	9.21504	+	20.1781i	0.326824	+	0.715645i
$796$	2.32727	−	16.1865i	0.0824880	−	0.573716i
$797$	−13.2289	+	15.2670i	−0.468593	+	0.540785i	−0.940020	−	0.341120i	$-0.889194\pi$
$797$	−13.2289	+	15.2670i	−0.468593	+	0.540785i	0.471427	+	0.881905i	$0.343739\pi$
$798$	6.58298	−	14.4147i	0.233035	−	0.510276i
$799$	0.0474849	+	0.0305167i	0.00167989	+	0.00107960i
$800$	−1.37623	−	9.57192i	−0.0486572	−	0.338419i
$801$	−3.39465	+	2.18161i	−0.119944	+	0.0770834i
$802$	−33.2152	−	38.3324i	−1.17287	−	1.35356i
$803$	18.0591	−	5.30263i	0.637291	−	0.187126i
$804$	−66.9386			−2.36074
$805$		0			0
$806$	0.985537			0.0347141
$807$	−43.5340	+	12.7827i	−1.53247	+	0.449973i
$808$	−4.93789	−	5.69863i	−0.173714	−	0.200477i
$809$	−19.2319	+	12.3596i	−0.676157	+	0.434540i	−0.833140	−	0.553061i	$-0.813459\pi$
$809$	−19.2319	+	12.3596i	−0.676157	+	0.434540i	0.156983	+	0.987601i	$0.449823\pi$
$810$	−3.92293	−	27.2846i	−0.137838	−	0.958682i
$811$	−7.59380	−	4.88024i	−0.266654	−	0.171368i	0.400481	−	0.916305i	$-0.368843\pi$
$811$	−7.59380	−	4.88024i	−0.266654	−	0.171368i	−0.667135	+	0.744937i	$0.732480\pi$
$812$	−10.1260	+	22.1728i	−0.355352	+	0.778113i
$813$	30.1037	−	34.7416i	1.05578	−	1.21844i
$814$	−4.94168	+	34.3702i	−0.173206	+	1.20467i
$815$	7.59984	+	16.6413i	0.266211	+	0.582920i
$816$	−55.4024	−	16.2676i	−1.93947	−	0.569481i
$817$	−9.77600	−	2.87049i	−0.342019	−	0.100426i
$818$	26.0339	+	57.0063i	0.910254	+	1.99318i
$819$	0.0109175	−	0.0759329i	0.000381489	−	0.00265331i
$820$	−4.27715	+	4.93609i	−0.149364	+	0.172376i
$821$	−7.48414	+	16.3880i	−0.261198	+	0.571945i	−0.994110	−	0.108380i	$-0.965434\pi$
$821$	−7.48414	+	16.3880i	−0.261198	+	0.571945i	0.732911	+	0.680324i	$0.238161\pi$
$822$	41.7595	+	26.8372i	1.45653	+	0.936055i
$823$	4.15378	+	28.8901i	0.144792	+	1.00705i	0.924576	+	0.380999i	$0.124420\pi$
$823$	4.15378	+	28.8901i	0.144792	+	1.00705i	−0.779784	+	0.626049i	$0.784671\pi$
$824$	−18.6105	+	11.9603i	−0.648329	+	0.416656i
$825$	10.4147	+	12.0192i	0.362594	+	0.418456i
$826$	−13.8285	+	4.06042i	−0.481156	+	0.141280i
$827$	−13.2576			−0.461011			−0.230506	−	0.973071i	$-0.574038\pi$
$827$	−13.2576			−0.461011			−0.230506	+	0.973071i	$0.574038\pi$
$828$		0			0
$829$	−33.0687			−1.14852			−0.574261	−	0.818672i	$-0.694710\pi$
$829$	−33.0687			−1.14852			−0.574261	+	0.818672i	$0.694710\pi$
$830$	6.24521	−	1.83376i	0.216775	−	0.0636508i
$831$	1.71568	+	1.98000i	0.0595162	+	0.0686854i
$832$	0.385585	−	0.247801i	0.0133678	−	0.00859094i
$833$	4.71500	+	32.7936i	0.163365	+	1.13623i
$834$	42.1804	+	27.1077i	1.46059	+	0.938662i
$835$	−7.25473	+	15.8856i	−0.251060	+	0.549746i
$836$	−32.2655	+	37.2363i	−1.11592	+	1.28785i
$837$	2.25720	−	15.6992i	0.0780202	−	0.542642i
$838$	−34.6158	−	75.7980i	−1.19578	−	2.61840i
$839$	−27.9602	−	8.20987i	−0.965295	−	0.283436i	−0.239154	−	0.970982i	$-0.576870\pi$
$839$	−27.9602	−	8.20987i	−0.965295	−	0.283436i	−0.726141	+	0.687546i	$0.758688\pi$
$840$	−16.1868	−	4.75288i	−0.558499	−	0.163990i
$841$	−3.27382	−	7.16866i	−0.112890	−	0.247195i
$842$	−3.52600	+	24.5239i	−0.121514	+	0.845149i
$843$	27.0456	−	31.2123i	0.931500	−	1.07501i
$844$	4.37095	−	9.57105i	0.150454	−	0.329449i
$845$	−16.1505	−	10.3793i	−0.555593	−	0.357058i
$846$	−0.00153250	−	0.0106587i	−5.26883e−5	−	0.000366455i
$847$	−1.62856	+	1.04661i	−0.0559580	+	0.0359620i
$848$	−36.9751	−	42.6716i	−1.26973	−	1.46535i
$849$	21.6976	−	6.37099i	0.744660	−	0.218652i
$850$	42.6618			1.46329
$851$		0			0
$852$	−4.79175			−0.164163
$853$	−9.10300	+	2.67288i	−0.311681	+	0.0915178i	−0.433832	−	0.900994i	$-0.642839\pi$
$853$	−9.10300	+	2.67288i	−0.311681	+	0.0915178i	0.122151	+	0.992512i	$0.461021\pi$
$854$	−27.4172	−	31.6411i	−0.938196	−	1.08274i
$855$	−1.83412	+	1.17872i	−0.0627256	+	0.0403113i
$856$	−4.74669	−	33.0139i	−0.162238	−	1.12839i
$857$	29.9427	+	19.2430i	1.02282	+	0.657328i	0.940681	−	0.339293i	$-0.110188\pi$
$857$	29.9427	+	19.2430i	1.02282	+	0.657328i	0.0821413	+	0.996621i	$0.473824\pi$
$858$	0.804632	−	1.76190i	0.0274697	−	0.0601502i
$859$	28.1163	−	32.4479i	0.959316	−	1.10711i	−0.0348657	−	0.999392i	$-0.511100\pi$
$859$	28.1163	−	32.4479i	0.959316	−	1.10711i	0.994182	−	0.107718i	$-0.0343542\pi$
$860$	−2.87618	+	20.0043i	−0.0980771	+	0.682141i
$861$	−0.832560	−	1.82305i	−0.0283736	−	0.0621294i
$862$	95.9074	+	28.1609i	3.26662	+	0.959166i
$863$	−25.0291	−	7.34920i	−0.852000	−	0.250170i	−0.173558	−	0.984824i	$-0.555526\pi$
$863$	−25.0291	−	7.34920i	−0.852000	−	0.250170i	−0.678442	+	0.734654i	$0.737344\pi$
$864$	7.87386	+	17.2414i	0.267874	+	0.586563i
$865$	0.514559	−	3.57884i	0.0174955	−	0.121684i
$866$	26.9007	−	31.0451i	0.914123	−	1.05495i
$867$	12.8586	−	28.1564i	0.436700	−	0.956241i
$868$	−12.8366	−	8.24956i	−0.435701	−	0.280008i
$869$	−5.41778	−	37.6815i	−0.183785	−	1.27826i
$870$	−22.9106	+	14.7237i	−0.776742	+	0.499182i
$871$	−0.868142	−	1.00189i	−0.0294159	−	0.0339477i
$872$	7.79510	−	2.28885i	0.263975	−	0.0775102i
$873$	8.25216			0.279293
$874$		0			0
$875$	14.1970			0.479945
$876$	35.0497	−	10.2915i	1.18422	−	0.347719i
$877$	−3.58251	−	4.13443i	−0.120973	−	0.139610i	0.692033	−	0.721866i	$-0.256715\pi$
$877$	−3.58251	−	4.13443i	−0.120973	−	0.139610i	−0.813005	+	0.582256i	$0.802170\pi$
$878$	50.0064	−	32.1372i	1.68764	−	1.08458i
$879$	5.20072	+	36.1718i	0.175416	+	1.22005i
$880$	26.4784	+	17.0167i	0.892588	+	0.573631i
$881$	−5.90774	+	12.9361i	−0.199037	+	0.435830i	−0.982662	−	0.185404i	$-0.940641\pi$
$881$	−5.90774	+	12.9361i	−0.199037	+	0.435830i	0.783626	+	0.621233i	$0.213368\pi$
$882$	4.13906	−	4.77673i	0.139369	−	0.160841i
$883$	2.39054	−	16.6266i	0.0804482	−	0.559530i	−0.909238	−	0.416277i	$-0.863335\pi$
$883$	2.39054	−	16.6266i	0.0804482	−	0.559530i	0.989686	−	0.143253i	$-0.0457562\pi$
$884$	−1.47504	−	3.22990i	−0.0496111	−	0.108633i
$885$	−10.5584	−	3.10021i	−0.354915	−	0.104213i
$886$	47.3095	+	13.8913i	1.58939	+	0.466688i
$887$	−17.1508	−	37.5550i	−0.575867	−	1.26097i	−0.943614	−	0.331047i	$-0.892598\pi$
$887$	−17.1508	−	37.5550i	−0.575867	−	1.26097i	0.367747	−	0.929926i	$-0.380129\pi$
$888$	−5.14750	+	35.8016i	−0.172739	+	1.20142i
$889$	15.8253	−	18.2634i	0.530763	−	0.612533i
$890$	−13.6029	+	29.7861i	−0.455969	+	0.998432i
$891$	−22.1240	−	14.2182i	−0.741182	−	0.476329i
$892$	8.67130	+	60.3102i	0.290336	+	2.01933i
$893$	0.0253265	−	0.0162764i	0.000847519	−	0.000544667i
$894$	9.34706	+	10.7871i	0.312612	+	0.360774i
$895$	−30.7259	+	9.02195i	−1.02706	+	0.301571i
$896$	−18.8326			−0.629152
$897$		0			0
$898$	11.2222			0.374491
$899$	−12.6848	+	3.72461i	−0.423063	+	0.124223i
$900$	−3.64230	−	4.20344i	−0.121410	−	0.140115i
$901$	47.7594	−	30.6931i	1.59110	−	1.02254i
$902$	1.29767	+	9.02551i	0.0432077	+	0.300516i
$903$	−5.21701	−	3.35277i	−0.173611	−	0.111573i
$904$	12.5687	−	27.5216i	0.418028	−	0.915353i
$905$	−1.43172	+	1.65230i	−0.0475921	+	0.0549242i
$906$	−3.20166	+	22.2680i	−0.106368	+	0.739805i
$907$	11.5933	+	25.3859i	0.384950	+	0.842924i	0.998577	+	0.0533275i	$0.0169827\pi$
$907$	11.5933	+	25.3859i	0.384950	+	0.842924i	−0.613627	+	0.789596i	$0.710290\pi$
$908$	58.7120	+	17.2394i	1.94843	+	0.572110i
$909$	−0.569103	−	0.167104i	−0.0188759	−	0.00554248i
$910$	−0.258604	−	0.566263i	−0.00857263	−	0.0187714i
$911$	0.530978	−	3.69303i	0.0175921	−	0.122356i	−0.979133	−	0.203221i	$-0.934859\pi$
$911$	0.530978	−	3.69303i	0.0175921	−	0.122356i	0.996725	+	0.0808650i	$0.0257683\pi$
$912$	−20.1677	+	23.2748i	−0.667819	+	0.770704i
$913$	2.57967	−	5.64869i	0.0853746	−	0.186944i
$914$	−21.4997	−	13.8170i	−0.711147	−	0.457026i
$915$	−4.54930	−	31.6411i	−0.150395	−	1.04602i
$916$	57.9704	−	37.2553i	1.91540	−	1.23095i
$917$	−5.63176	−	6.49940i	−0.185977	−	0.214629i
$918$	−80.2314	+	23.5581i	−2.64803	+	0.777532i
$919$	35.9581			1.18615			0.593074	−	0.805148i	$-0.297914\pi$
$919$	35.9581			1.18615			0.593074	+	0.805148i	$0.297914\pi$
$920$		0			0
$921$	6.43703			0.212107
$922$	73.1167	−	21.4690i	2.40797	−	0.707044i
$923$	−0.0621452	−	0.0717194i	−0.00204554	−	0.00236067i
$924$	−25.2285	+	16.2134i	−0.829956	+	0.533380i
$925$	−1.55960	−	10.8472i	−0.0512792	−	0.356655i
$926$	−73.1566	−	47.0149i	−2.40408	−	1.54501i
$927$	−0.722888	+	1.58290i	−0.0237427	+	0.0519894i
$928$	10.3461	−	11.9401i	0.339629	−	0.391952i
$929$	5.10937	−	35.5365i	0.167633	−	1.16591i	−0.716126	−	0.697971i	$-0.754086\pi$
$929$	5.10937	−	35.5365i	0.167633	−	1.16591i	0.883759	−	0.467942i	$-0.155004\pi$
$930$	−7.08204	−	15.5075i	−0.232229	−	0.508511i
$931$	16.9548	+	4.97839i	0.555672	+	0.163160i
$932$	83.6443	+	24.5602i	2.73986	+	0.804495i
$933$	−0.557730	−	1.22126i	−0.0182593	−	0.0399822i
$934$	4.03213	−	28.0440i	0.131935	−	0.917629i
$935$	−20.7246	+	23.9174i	−0.677766	+	0.782184i
$936$	−0.151028	+	0.330706i	−0.00493651	+	0.0108095i
$937$	−20.7787	−	13.3537i	−0.678811	−	0.436245i	0.155281	−	0.987870i	$-0.450372\pi$
$937$	−20.7787	−	13.3537i	−0.678811	−	0.436245i	−0.834092	+	0.551625i	$0.814008\pi$
$938$	4.27439	+	29.7290i	0.139564	+	0.970687i
$939$	−35.8266	+	23.0244i	−1.16916	+	0.751371i
$940$	−0.0391061	−	0.0451308i	−0.00127550	−	0.00147201i
$941$	−49.6289	+	14.5724i	−1.61785	+	0.475045i	−0.960441	−	0.278484i	$-0.910168\pi$
$941$	−49.6289	+	14.5724i	−1.61785	+	0.475045i	−0.657414	+	0.753529i	$0.728350\pi$
$942$	58.4460			1.90428
$943$		0			0
$944$	28.0092			0.911621
$945$	−9.61261	+	2.82252i	−0.312698	+	0.0918164i
$946$	18.4767	+	21.3233i	0.600730	+	0.693279i
$947$	−32.7894	+	21.0725i	−1.06551	+	0.684763i	−0.951167	−	0.308678i	$-0.900113\pi$
$947$	−32.7894	+	21.0725i	−1.06551	+	0.684763i	−0.114346	+	0.993441i	$0.536477\pi$
$948$	−10.5150	−	73.1336i	−0.341512	−	2.37527i
$949$	0.608604	+	0.391126i	0.0197561	+	0.0126965i
$950$	9.45239	−	20.6978i	0.306676	−	0.671527i
$951$	−1.33873	+	1.54498i	−0.0434113	+	0.0500993i
$952$	−6.14451	+	42.7360i	−0.199145	+	1.38508i
$953$	9.03353	+	19.7807i	0.292625	+	0.640758i	0.997657	−	0.0684168i	$-0.0217948\pi$
$953$	9.03353	+	19.7807i	0.292625	+	0.640758i	−0.705032	+	0.709175i	$0.749067\pi$
$954$	−10.3919	−	3.05134i	−0.336450	−	0.0987907i
$955$	16.1477	+	4.74140i	0.522528	+	0.153428i
$956$	−38.0165	−	83.2446i	−1.22954	−	2.69232i
$957$	−3.69774	+	25.7183i	−0.119531	+	0.831355i
$958$	27.8305	−	32.1181i	0.899161	−	1.03769i
$959$	6.32302	−	13.8455i	0.204181	−	0.447094i
$960$	−6.66996	−	4.28652i	−0.215272	−	0.138347i
$961$	3.23399	+	22.4929i	0.104322	+	0.725577i
$962$	−1.12281	+	0.721585i	−0.0362008	+	0.0232648i
$963$	−1.71809	−	1.98278i	−0.0553646	−	0.0638942i
$964$	92.7178	−	27.2244i	2.98624	−	0.876839i
$965$	2.47242			0.0795900
$966$		0			0
$967$	−8.23067			−0.264680			−0.132340	−	0.991204i	$-0.542249\pi$
$967$	−8.23067			−0.264680			−0.132340	+	0.991204i	$0.542249\pi$
$968$	8.80281	−	2.58474i	0.282933	−	0.0830767i
$969$	−20.2781	−	23.4022i	−0.651427	−	0.751787i
$970$	56.3344	−	36.2039i	1.80879	−	1.16244i
$971$	−8.54833	−	59.4549i	−0.274329	−	1.90800i	−0.401042	−	0.916060i	$-0.631352\pi$
$971$	−8.54833	−	59.4549i	−0.274329	−	1.90800i	0.126713	−	0.991939i	$-0.459557\pi$
$972$	17.1273	+	11.0070i	0.549357	+	0.353050i
$973$	6.38674	−	13.9850i	0.204750	−	0.448339i
$974$	−58.6878	+	67.7293i	−1.88048	+	2.17019i
$975$	−0.0869967	+	0.605075i	−0.00278612	+	0.0193779i
$976$	33.8004	+	74.0126i	1.08193	+	2.36909i
$977$	−29.6309	−	8.70041i	−0.947975	−	0.278351i	−0.229032	−	0.973419i	$-0.573556\pi$
$977$	−29.6309	−	8.70041i	−0.947975	−	0.278351i	−0.718944	+	0.695068i	$0.755374\pi$
$978$	47.5622	+	13.9655i	1.52087	+	0.446569i
$979$	12.9780	+	28.4178i	0.414777	+	0.908236i
$980$	4.98826	−	34.6941i	0.159344	−	1.10826i
$981$	0.418490	−	0.482963i	0.0133614	−	0.0154198i
$982$	−12.8307	+	28.0954i	−0.409445	+	0.896559i
$983$	−23.2607	−	14.9488i	−0.741903	−	0.476792i	0.114291	−	0.993447i	$-0.463540\pi$
$983$	−23.2607	−	14.9488i	−0.741903	−	0.476792i	−0.856193	+	0.516655i	$0.827177\pi$
$984$	1.35172	+	9.40140i	0.0430912	+	0.299706i
$985$	−19.0112	+	12.2178i	−0.605749	+	0.389291i
$986$	45.6431	+	52.6750i	1.45357	+	1.67751i
$987$	0.0175819	−	0.00516250i	0.000559637	−	0.000164324i
$988$	−1.89384			−0.0602510
$989$		0			0
$990$	6.03751			0.191885
$991$	−5.31688	+	1.56118i	−0.168896	+	0.0495924i	−0.365087	−	0.930973i	$-0.618961\pi$
$991$	−5.31688	+	1.56118i	−0.168896	+	0.0495924i	0.196191	+	0.980566i	$0.437143\pi$
$992$	6.47657	+	7.47436i	0.205631	+	0.237311i
$993$	4.65831	−	2.99372i	0.147827	−	0.0950027i
$994$	0.305979	+	2.12813i	0.00970505	+	0.0675001i
$995$	−4.71294	−	3.02882i	−0.149410	−	0.0960201i
$996$	5.00672	−	10.9632i	0.158644	−	0.347382i
$997$	−1.45619	+	1.68053i	−0.0461180	+	0.0532230i	−0.778340	−	0.627843i	$-0.783938\pi$
$997$	−1.45619	+	1.68053i	−0.0461180	+	0.0532230i	0.732222	+	0.681066i	$0.238483\pi$
$998$	−9.88613	+	68.7596i	−0.312940	+	2.17655i
$999$	8.92293	+	19.5385i	0.282309	+	0.618171i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.e.170.1		10
23.2	even	11		529.2.c.h.266.1		10
23.3	even	11		529.2.c.a.334.1		10
23.4	even	11		529.2.c.c.466.1		10
23.5	odd	22		529.2.c.d.501.1		10
23.6	even	11		529.2.c.a.255.1		10
23.7	odd	22		529.2.c.b.487.1		10
23.8	even	11		529.2.a.j.1.1		5
23.9	even	11		529.2.c.h.177.1		10
23.10	odd	22		529.2.c.g.118.1		10
23.11	odd	22		529.2.c.g.399.1		10
23.12	even	11		529.2.c.f.399.1		10
23.13	even	11		529.2.c.f.118.1		10
23.14	odd	22		529.2.c.i.177.1		10
23.15	odd	22		529.2.a.i.1.1		5
23.16	even	11		529.2.c.c.487.1		10
23.17	odd	22		23.2.c.a.2.1	✓	10
23.18	even	11	inner	529.2.c.e.501.1		10
23.19	odd	22		529.2.c.b.466.1		10
23.20	odd	22		23.2.c.a.12.1	yes	10
23.21	odd	22		529.2.c.i.266.1		10
23.22	odd	2		529.2.c.d.170.1		10
69.8	odd	22		4761.2.a.bn.1.5		5
69.17	even	22		207.2.i.c.163.1		10
69.20	even	22		207.2.i.c.127.1		10
69.38	even	22		4761.2.a.bo.1.5		5
92.15	even	22		8464.2.a.bs.1.2		5
92.31	odd	22		8464.2.a.bt.1.2		5
92.43	even	22		368.2.m.c.81.1		10
92.63	even	22		368.2.m.c.209.1		10
115.17	even	44		575.2.p.b.324.2		20
115.43	even	44		575.2.p.b.449.2		20
115.63	even	44		575.2.p.b.324.1		20
115.89	odd	22		575.2.k.b.426.1		10
115.109	odd	22		575.2.k.b.301.1		10
115.112	even	44		575.2.p.b.449.1		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.c.a.2.1	✓	10	23.17	odd	22
23.2.c.a.12.1	yes	10	23.20	odd	22
207.2.i.c.127.1		10	69.20	even	22
207.2.i.c.163.1		10	69.17	even	22
368.2.m.c.81.1		10	92.43	even	22
368.2.m.c.209.1		10	92.63	even	22
529.2.a.i.1.1		5	23.15	odd	22
529.2.a.j.1.1		5	23.8	even	11
529.2.c.a.255.1		10	23.6	even	11
529.2.c.a.334.1		10	23.3	even	11
529.2.c.b.466.1		10	23.19	odd	22
529.2.c.b.487.1		10	23.7	odd	22
529.2.c.c.466.1		10	23.4	even	11
529.2.c.c.487.1		10	23.16	even	11
529.2.c.d.170.1		10	23.22	odd	2
529.2.c.d.501.1		10	23.5	odd	22
529.2.c.e.170.1		10	1.1	even	1	trivial
529.2.c.e.501.1		10	23.18	even	11	inner
529.2.c.f.118.1		10	23.13	even	11
529.2.c.f.399.1		10	23.12	even	11
529.2.c.g.118.1		10	23.10	odd	22
529.2.c.g.399.1		10	23.11	odd	22
529.2.c.h.177.1		10	23.9	even	11
529.2.c.h.266.1		10	23.2	even	11
529.2.c.i.177.1		10	23.14	odd	22
529.2.c.i.266.1		10	23.21	odd	22
575.2.k.b.301.1		10	115.109	odd	22
575.2.k.b.426.1		10	115.89	odd	22
575.2.p.b.324.1		20	115.63	even	44
575.2.p.b.324.2		20	115.17	even	44
575.2.p.b.449.1		20	115.112	even	44
575.2.p.b.449.2		20	115.43	even	44
4761.2.a.bn.1.5		5	69.8	odd	22
4761.2.a.bo.1.5		5	69.38	even	22
8464.2.a.bs.1.2		5	92.15	even	22
8464.2.a.bt.1.2		5	92.31	odd	22

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:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(2.41153 - 0.708089i) q^{2} +(-1.04408 - 1.20493i) q^{3} +(3.63158 - 2.33387i) q^{4} +(-0.210468 - 1.46384i) q^{5} +(-3.37102 - 2.16642i) q^{6} +(-0.510424 + 1.11767i) q^{7} +(3.81329 - 4.40077i) q^{8} +(0.0651865 - 0.453382i) q^{9} +O(q^{10})\)	\(q+(2.41153 - 0.708089i) q^{2} +(-1.04408 - 1.20493i) q^{3} +(3.63158 - 2.33387i) q^{4} +(-0.210468 - 1.46384i) q^{5} +(-3.37102 - 2.16642i) q^{6} +(-0.510424 + 1.11767i) q^{7} +(3.81329 - 4.40077i) q^{8} +(0.0651865 - 0.453382i) q^{9} +(-1.54408 - 3.38106i) q^{10} +(-3.40255 - 0.999080i) q^{11} +(-6.60380 - 1.93905i) q^{12} +(-0.0566239 - 0.123989i) q^{13} +(-0.439490 + 3.05672i) q^{14} +(-1.54408 + 1.78196i) q^{15} +(2.49315 - 5.45923i) q^{16} +(5.07650 + 3.26247i) q^{17} +(-0.163836 - 1.13950i) q^{18} +(2.70760 - 1.74007i) q^{19} +(-4.18074 - 4.82484i) q^{20} +(1.87964 - 0.551912i) q^{21} -8.91280 q^{22} -9.28400 q^{24} +(2.69894 - 0.792480i) q^{25} +(-0.224345 - 0.258908i) q^{26} +(-4.63811 + 2.98074i) q^{27} +(0.754861 + 5.25017i) q^{28} +(3.86603 + 2.48455i) q^{29} +(-2.46180 + 5.39060i) q^{30} +(-1.88388 + 2.17412i) q^{31} +(0.489262 - 3.40289i) q^{32} +(2.34871 + 5.14296i) q^{33} +(14.5522 + 4.27292i) q^{34} +(1.74352 + 0.511943i) q^{35} +(-0.821406 - 1.79863i) q^{36} +(0.554448 - 3.85627i) q^{37} +(5.29733 - 6.11345i) q^{38} +(-0.0902783 + 0.197682i) q^{39} +(-7.24460 - 4.65582i) q^{40} +(-0.145596 - 1.01265i) q^{41} +(4.14200 - 2.66190i) q^{42} +(-2.07306 - 2.39243i) q^{43} +(-14.6884 + 4.31289i) q^{44} -0.677398 q^{45} +0.00935386 q^{47} +(-9.18103 + 2.69579i) q^{48} +(3.59537 + 4.14928i) q^{49} +(5.94742 - 3.82218i) q^{50} +(-1.36921 - 9.52310i) q^{51} +(-0.495008 - 0.318122i) q^{52} +(3.90820 - 8.55777i) q^{53} +(-9.07432 + 10.4723i) q^{54} +(-0.746362 + 5.19106i) q^{55} +(2.97223 + 6.50827i) q^{56} +(-4.92360 - 1.44570i) q^{57} +(11.0823 + 3.25406i) q^{58} +(1.93873 + 4.24522i) q^{59} +(-1.44857 + 10.0750i) q^{60} +(-8.87816 + 10.2459i) q^{61} +(-3.00357 + 6.57690i) q^{62} +(0.473460 + 0.304274i) q^{63} +(0.478549 + 3.32838i) q^{64} +(-0.169582 + 0.108984i) q^{65} +(9.30565 + 10.7393i) q^{66} +(9.33182 - 2.74007i) q^{67} +26.0499 q^{68} +4.56705 q^{70} +(0.668011 - 0.196146i) q^{71} +(-1.74666 - 2.01575i) q^{72} +(-4.46496 + 2.86946i) q^{73} +(-1.39352 - 9.69211i) q^{74} +(-3.77279 - 2.42462i) q^{75} +(5.77176 - 12.6384i) q^{76} +(2.85339 - 3.29298i) q^{77} +(-0.0777324 + 0.540641i) q^{78} +(4.45954 + 9.76502i) q^{79} +(-8.51616 - 2.50057i) q^{80} +(7.11566 + 2.08935i) q^{81} +(-1.06815 - 2.33893i) q^{82} +(-0.249212 + 1.73331i) q^{83} +(5.53796 - 6.39114i) q^{84} +(3.70728 - 8.11782i) q^{85} +(-6.69329 - 4.30152i) q^{86} +(-1.04273 - 7.25236i) q^{87} +(-17.3717 + 11.1641i) q^{88} +(-5.76912 - 6.65792i) q^{89} +(-1.63357 + 0.479658i) q^{90} +0.167481 q^{91} +4.58658 q^{93} +(0.0225571 - 0.00662336i) q^{94} +(-3.11704 - 3.59726i) q^{95} +(-4.61107 + 2.96336i) q^{96} +(2.56395 + 17.8327i) q^{97} +(11.6084 + 7.46026i) q^{98} +(-0.674766 + 1.47753i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} + 3 q^{5} - 5 q^{6} - 6 q^{7} + 15 q^{8} - 2 q^{9}+O(q^{10}) \) 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 + 3 * q^5 - 5 * q^6 - 6 * q^7 + 15 * q^8 - 2 * q^9	\( 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} + 3 q^{5} - 5 q^{6} - 6 q^{7} + 15 q^{8} - 2 q^{9} - 12 q^{10} - 7 q^{11} - 10 q^{12} + 8 q^{13} + 2 q^{14} - 12 q^{15} + 12 q^{16} - q^{17} - 3 q^{18} - 2 q^{19} - 2 q^{20} + 24 q^{21} + 6 q^{22} - 38 q^{24} + 18 q^{25} - 10 q^{26} - 4 q^{27} + 26 q^{28} - 8 q^{29} + 4 q^{30} - 12 q^{31} - 23 q^{32} + 17 q^{33} + 26 q^{34} + 18 q^{35} - 6 q^{36} - 25 q^{37} + 52 q^{38} + 12 q^{39} - 12 q^{40} - 26 q^{41} + 14 q^{42} - 22 q^{43} - 32 q^{44} + 6 q^{45} - 18 q^{47} - 15 q^{48} + 15 q^{49} + 5 q^{50} - 18 q^{51} + 13 q^{52} + 48 q^{53} - 17 q^{54} + 32 q^{55} + 2 q^{56} + 8 q^{57} - q^{58} + q^{59} + 8 q^{60} - 36 q^{61} - 18 q^{62} + 21 q^{63} + 13 q^{64} - 13 q^{65} - 2 q^{66} + 10 q^{67} + 30 q^{68} + 38 q^{70} - 14 q^{71} - 3 q^{72} - 3 q^{73} - 32 q^{74} - 6 q^{75} - 50 q^{76} + 13 q^{77} + 7 q^{78} - 18 q^{79} - 14 q^{80} + 11 q^{81} - 6 q^{82} + 15 q^{83} - 16 q^{84} - 19 q^{85} - 22 q^{86} + 10 q^{87} - 16 q^{88} + 19 q^{89} - 24 q^{90} + 4 q^{91} + 4 q^{93} - 5 q^{94} + 28 q^{95} - 7 q^{96} - 21 q^{97} + 39 q^{98} - 25 q^{99}+O(q^{100}) \) 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 + 3 * q^5 - 5 * q^6 - 6 * q^7 + 15 * q^8 - 2 * q^9 - 12 * q^10 - 7 * q^11 - 10 * q^12 + 8 * q^13 + 2 * q^14 - 12 * q^15 + 12 * q^16 - q^17 - 3 * q^18 - 2 * q^19 - 2 * q^20 + 24 * q^21 + 6 * q^22 - 38 * q^24 + 18 * q^25 - 10 * q^26 - 4 * q^27 + 26 * q^28 - 8 * q^29 + 4 * q^30 - 12 * q^31 - 23 * q^32 + 17 * q^33 + 26 * q^34 + 18 * q^35 - 6 * q^36 - 25 * q^37 + 52 * q^38 + 12 * q^39 - 12 * q^40 - 26 * q^41 + 14 * q^42 - 22 * q^43 - 32 * q^44 + 6 * q^45 - 18 * q^47 - 15 * q^48 + 15 * q^49 + 5 * q^50 - 18 * q^51 + 13 * q^52 + 48 * q^53 - 17 * q^54 + 32 * q^55 + 2 * q^56 + 8 * q^57 - q^58 + q^59 + 8 * q^60 - 36 * q^61 - 18 * q^62 + 21 * q^63 + 13 * q^64 - 13 * q^65 - 2 * q^66 + 10 * q^67 + 30 * q^68 + 38 * q^70 - 14 * q^71 - 3 * q^72 - 3 * q^73 - 32 * q^74 - 6 * q^75 - 50 * q^76 + 13 * q^77 + 7 * q^78 - 18 * q^79 - 14 * q^80 + 11 * q^81 - 6 * q^82 + 15 * q^83 - 16 * q^84 - 19 * q^85 - 22 * q^86 + 10 * q^87 - 16 * q^88 + 19 * q^89 - 24 * q^90 + 4 * q^91 + 4 * q^93 - 5 * q^94 + 28 * q^95 - 7 * q^96 - 21 * q^97 + 39 * q^98 - 25 * q^99

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