LMFDB - Embedded newform 525.2.bo.a.319.24

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 3, 20]))

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

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

chi := DirichletCharacter("525.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$40$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			319.24
Character	$\chi$	$=$	525.319
Dual form			525.2.bo.a.79.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.545508 + 0.491178i) q^{2} +(-0.994522 + 0.104528i) q^{3} +(-0.152733 - 1.45316i) q^{4} +(-2.19432 + 0.430084i) q^{5} +(-0.593862 - 0.431466i) q^{6} +(1.23355 + 2.34059i) q^{7} +(1.49337 - 2.05545i) q^{8} +(0.978148 - 0.207912i) q^{9} +O(q^{10})$	\(q+(0.545508 + 0.491178i) q^{2} +(-0.994522 + 0.104528i) q^{3} +(-0.152733 - 1.45316i) q^{4} +(-2.19432 + 0.430084i) q^{5} +(-0.593862 - 0.431466i) q^{6} +(1.23355 + 2.34059i) q^{7} +(1.49337 - 2.05545i) q^{8} +(0.978148 - 0.207912i) q^{9} +(-1.40826 - 0.843185i) q^{10} +(-2.07271 - 0.440568i) q^{11} +(0.303793 + 1.42924i) q^{12} +(-4.39079 - 1.42665i) q^{13} +(-0.476731 + 1.88270i) q^{14} +(2.13734 - 0.657096i) q^{15} +(-1.03423 + 0.219833i) q^{16} +(-2.19108 - 4.92124i) q^{17} +(0.635709 + 0.367027i) q^{18} +(-0.687743 + 6.54344i) q^{19} +(0.960127 + 3.12301i) q^{20} +(-1.47145 - 2.19882i) q^{21} +(-0.914282 - 1.25840i) q^{22} +(-6.23289 - 5.61212i) q^{23} +(-1.27034 + 2.20029i) q^{24} +(4.63006 - 1.88748i) q^{25} +(-1.69447 - 2.93491i) q^{26} +(-0.951057 + 0.309017i) q^{27} +(3.21285 - 2.15004i) q^{28} +(-2.19536 + 1.59502i) q^{29} +(1.48869 + 0.691362i) q^{30} +(-9.10687 + 4.05464i) q^{31} +(-5.07275 - 2.92875i) q^{32} +(2.10741 + 0.221497i) q^{33} +(1.22195 - 3.76078i) q^{34} +(-3.71345 - 4.60546i) q^{35} +(-0.451525 - 1.38965i) q^{36} +(0.0106611 + 0.0501564i) q^{37} +(-3.58916 + 3.23169i) q^{38} +(4.51586 + 0.959876i) q^{39} +(-2.39292 + 5.15259i) q^{40} +(-0.0644499 + 0.198356i) q^{41} +(0.277323 - 1.92222i) q^{42} -2.35153i q^{43} +(-0.323644 + 3.07927i) q^{44} +(-2.05695 + 0.876910i) q^{45} +(-0.643544 - 6.12291i) q^{46} +(2.52191 - 5.66431i) q^{47} +(1.00559 - 0.326735i) q^{48} +(-3.95669 + 5.77448i) q^{49} +(3.45282 + 1.24454i) q^{50} +(2.69348 + 4.66525i) q^{51} +(-1.40254 + 6.59842i) q^{52} +(3.67862 - 0.386638i) q^{53} +(-0.670591 - 0.298566i) q^{54} +(4.73766 + 0.0753072i) q^{55} +(6.65312 + 0.959862i) q^{56} -6.57948i q^{57} +(-1.98103 - 0.208214i) q^{58} +(4.24504 + 4.71460i) q^{59} +(-1.28131 - 3.00554i) q^{60} +(9.37532 - 10.4123i) q^{61} +(-6.95942 - 2.26125i) q^{62} +(1.69323 + 2.03297i) q^{63} +(-0.675216 - 2.07810i) q^{64} +(10.2484 + 1.24212i) q^{65} +(1.04081 + 1.15594i) q^{66} +(5.55119 + 12.4682i) q^{67} +(-6.81670 + 3.93562i) q^{68} +(6.78538 + 4.92986i) q^{69} +(0.236379 - 4.33628i) q^{70} +(10.0988 - 7.33720i) q^{71} +(1.03339 - 2.32103i) q^{72} +(-0.335628 + 1.57900i) q^{73} +(-0.0188200 + 0.0325972i) q^{74} +(-4.40740 + 2.36111i) q^{75} +9.61372 q^{76} +(-1.52561 - 5.39482i) q^{77} +(1.99197 + 2.74171i) q^{78} +(-4.42503 - 1.97015i) q^{79} +(2.17489 - 0.927189i) q^{80} +(0.913545 - 0.406737i) q^{81} +(-0.132586 + 0.0765486i) q^{82} +(-2.26232 + 3.11381i) q^{83} +(-2.97051 + 2.47409i) q^{84} +(6.92446 + 9.85641i) q^{85} +(1.15502 - 1.28278i) q^{86} +(2.01661 - 1.81576i) q^{87} +(-4.00090 + 3.60242i) q^{88} +(-2.72014 + 3.02102i) q^{89} +(-1.55280 - 0.531965i) q^{90} +(-2.07706 - 12.0369i) q^{91} +(-7.20335 + 9.91456i) q^{92} +(8.63316 - 4.98436i) q^{93} +(4.15790 - 1.85122i) q^{94} +(-1.30510 - 14.6542i) q^{95} +(5.35109 + 2.38246i) q^{96} +(-7.72987 - 10.6393i) q^{97} +(-4.99470 + 1.20658i) q^{98} -2.11901 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	$ 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) $ 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{9}{10}\right)$	$1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	0.545508	+	0.491178i	0.385732	+	0.347315i	0.839070	−	0.544024i	$-0.183100\pi$
$2$	0.545508	+	0.491178i	0.385732	+	0.347315i	−0.453337	+	0.891339i	$0.649767\pi$
$3$	−0.994522	+	0.104528i	−0.574187	+	0.0603495i
$3$	−0.994522	+	0.104528i	−0.574187	+	0.0603495i
$4$	−0.152733	−	1.45316i	−0.0763667	−	0.726581i
$5$	−2.19432	+	0.430084i	−0.981328	+	0.192339i
$5$	−2.19432	+	0.430084i	−0.981328	+	0.192339i
$6$	−0.593862	−	0.431466i	−0.242443	−	0.176145i
$7$	1.23355	+	2.34059i	0.466239	+	0.884659i
$7$	1.23355	+	2.34059i	0.466239	+	0.884659i
$8$	1.49337	−	2.05545i	0.527988	−	0.726713i
$9$	0.978148	−	0.207912i	0.326049	−	0.0693039i
$10$	−1.40826	−	0.843185i	−0.445332	−	0.266639i
$11$	−2.07271	−	0.440568i	−0.624945	−	0.132836i	−0.115455	−	0.993313i	$-0.536833\pi$
$11$	−2.07271	−	0.440568i	−0.624945	−	0.132836i	−0.509490	+	0.860477i	$0.670166\pi$
$12$	0.303793	+	1.42924i	0.0876976	+	0.412585i
$13$	−4.39079	−	1.42665i	−1.21779	−	0.395683i	−0.371511	−	0.928429i	$-0.621160\pi$
$13$	−4.39079	−	1.42665i	−1.21779	−	0.395683i	−0.846275	+	0.532746i	$0.821160\pi$
$14$	−0.476731	+	1.88270i	−0.127412	+	0.503173i
$15$	2.13734	−	0.657096i	0.551859	−	0.169662i
$16$	−1.03423	+	0.219833i	−0.258558	+	0.0549582i
$17$	−2.19108	−	4.92124i	−0.531414	−	1.19358i	−0.957379	−	0.288836i	$-0.906732\pi$
$17$	−2.19108	−	4.92124i	−0.531414	−	1.19358i	0.425965	−	0.904740i	$-0.359935\pi$
$18$	0.635709	+	0.367027i	0.149838	+	0.0865090i
$19$	−0.687743	+	6.54344i	−0.157779	+	1.50117i	0.573565	+	0.819160i	$0.305560\pi$
$19$	−0.687743	+	6.54344i	−0.157779	+	1.50117i	−0.731344	+	0.682008i	$0.761107\pi$
$20$	0.960127	+	3.12301i	0.214691	+	0.698326i
$21$	−1.47145	−	2.19882i	−0.321097	−	0.479823i
$22$	−0.914282	−	1.25840i	−0.194926	−	0.268292i
$23$	−6.23289	−	5.61212i	−1.29965	−	1.17021i	−0.974461	−	0.224559i	$-0.927906\pi$
$23$	−6.23289	−	5.61212i	−1.29965	−	1.17021i	−0.325188	−	0.945650i	$-0.605427\pi$
$24$	−1.27034	+	2.20029i	−0.259307	+	0.449133i
$25$	4.63006	−	1.88748i	0.926011	−	0.377496i
$26$	−1.69447	−	2.93491i	−0.332313	−	0.575583i
$27$	−0.951057	+	0.309017i	−0.183031	+	0.0594703i
$28$	3.21285	−	2.15004i	0.607171	−	0.406319i
$29$	−2.19536	+	1.59502i	−0.407669	+	0.296189i	−0.772657	−	0.634823i	$-0.781073\pi$
$29$	−2.19536	+	1.59502i	−0.407669	+	0.296189i	0.364989	+	0.931012i	$0.381073\pi$
$30$	1.48869	+	0.691362i	0.271796	+	0.126225i
$31$	−9.10687	+	4.05464i	−1.63564	+	0.728235i	−0.999076	−	0.0429862i	$-0.986313\pi$
$31$	−9.10687	+	4.05464i	−1.63564	+	0.728235i	−0.636567	+	0.771221i	$0.719646\pi$
$32$	−5.07275	−	2.92875i	−0.896743	−	0.517735i
$33$	2.10741	+	0.221497i	0.366852	+	0.0385577i
$34$	1.22195	−	3.76078i	0.209563	−	0.644969i
$35$	−3.71345	−	4.60546i	−0.627688	−	0.778465i
$36$	−0.451525	−	1.38965i	−0.0752542	−	0.231609i
$37$	0.0106611	+	0.0501564i	0.00175267	+	0.00824566i	0.979015	−	0.203787i	$-0.0653250\pi$
$37$	0.0106611	+	0.0501564i	0.00175267	+	0.00824566i	−0.977263	+	0.212033i	$0.931992\pi$
$38$	−3.58916	+	3.23169i	−0.582239	+	0.524250i
$39$	4.51586	+	0.959876i	0.723117	+	0.153703i
$40$	−2.39292	+	5.15259i	−0.378354	+	0.814696i
$41$	−0.0644499	+	0.198356i	−0.0100654	+	0.0309781i	−0.955963	−	0.293487i	$-0.905184\pi$
$41$	−0.0644499	+	0.198356i	−0.0100654	+	0.0309781i	0.945898	+	0.324465i	$0.105184\pi$
$42$	0.277323	−	1.92222i	0.0427919	−	0.296605i
$43$		−	2.35153i		−	0.358606i	−0.983794	−	0.179303i	$-0.942616\pi$
$43$		−	2.35153i		−	0.358606i	0.983794	−	0.179303i	$-0.0573842\pi$
$44$	−0.323644	+	3.07927i	−0.0487912	+	0.464217i
$45$	−2.05695	+	0.876910i	−0.306632	+	0.130722i
$46$	−0.643544	−	6.12291i	−0.0948854	−	0.902775i
$47$	2.52191	−	5.66431i	0.367859	−	0.826224i	−0.630874	−	0.775886i	$-0.717303\pi$
$47$	2.52191	−	5.66431i	0.367859	−	0.826224i	0.998732	−	0.0503384i	$-0.0160300\pi$
$48$	1.00559	−	0.326735i	0.145144	−	0.0471601i
$49$	−3.95669	+	5.77448i	−0.565242	+	0.824925i
$50$	3.45282	+	1.24454i	0.488303	+	0.176005i
$51$	2.69348	+	4.66525i	0.377163	+	0.653265i
$52$	−1.40254	+	6.59842i	−0.194497	+	0.915037i
$53$	3.67862	−	0.386638i	0.505297	−	0.0531088i	0.151549	−	0.988450i	$-0.451574\pi$
$53$	3.67862	−	0.386638i	0.505297	−	0.0531088i	0.353748	+	0.935341i	$0.384907\pi$
$54$	−0.670591	−	0.298566i	−0.0912559	−	0.0406297i
$55$	4.73766	+	0.0753072i	0.638826	+	0.0101544i
$56$	6.65312	+	0.959862i	0.889061	+	0.128267i
$57$		−	6.57948i		−	0.871474i
$58$	−1.98103	−	0.208214i	−0.260122	−	0.0273399i
$59$	4.24504	+	4.71460i	0.552658	+	0.613789i	0.953145	−	0.302514i	$-0.0978258\pi$
$59$	4.24504	+	4.71460i	0.552658	+	0.613789i	−0.400487	+	0.916302i	$0.631159\pi$
$60$	−1.28131	−	3.00554i	−0.165416	−	0.388014i
$61$	9.37532	−	10.4123i	1.20039	−	1.33316i	0.271662	−	0.962393i	$-0.412427\pi$
$61$	9.37532	−	10.4123i	1.20039	−	1.33316i	0.928724	−	0.370771i	$-0.120907\pi$
$62$	−6.95942	−	2.26125i	−0.883847	−	0.287179i
$63$	1.69323	+	2.03297i	0.213327	+	0.256130i
$64$	−0.675216	−	2.07810i	−0.0844020	−	0.259763i
$65$	10.2484	+	1.24212i	1.27115	+	0.154067i
$66$	1.04081	+	1.15594i	0.128115	+	0.142286i
$67$	5.55119	+	12.4682i	0.678185	+	1.52323i	0.843581	+	0.537002i	$0.180443\pi$
$67$	5.55119	+	12.4682i	0.678185	+	1.52323i	−0.165396	+	0.986227i	$0.552890\pi$
$68$	−6.81670	+	3.93562i	−0.826646	+	0.477265i
$69$	6.78538	+	4.92986i	0.816863	+	0.593486i
$70$	0.236379	−	4.33628i	0.0282527	−	0.518285i
$71$	10.0988	−	7.33720i	1.19851	−	0.870765i	0.204369	−	0.978894i	$-0.434486\pi$
$71$	10.0988	−	7.33720i	1.19851	−	0.870765i	0.994137	+	0.108129i	$0.0344858\pi$
$72$	1.03339	−	2.32103i	0.121786	−	0.273536i
$73$	−0.335628	+	1.57900i	−0.0392822	+	0.184808i	−0.993414	−	0.114578i	$-0.963449\pi$
$73$	−0.335628	+	1.57900i	−0.0392822	+	0.184808i	0.954132	+	0.299386i	$0.0967819\pi$
$74$	−0.0188200	+	0.0325972i	−0.00218778	+	0.00378935i
$75$	−4.40740	+	2.36111i	−0.508922	+	0.272638i
$76$	9.61372			1.10277
$77$	−1.52561	−	5.39482i	−0.173859	−	0.614797i
$78$	1.99197	+	2.74171i	0.225546	+	0.310438i
$79$	−4.42503	−	1.97015i	−0.497855	−	0.221659i	0.142418	−	0.989807i	$-0.454512\pi$
$79$	−4.42503	−	1.97015i	−0.497855	−	0.221659i	−0.640273	+	0.768147i	$0.721179\pi$
$80$	2.17489	−	0.927189i	0.243160	−	0.103663i
$81$	0.913545	−	0.406737i	0.101505	−	0.0451930i
$82$	−0.132586	+	0.0765486i	−0.0146417	+	0.00845338i
$83$	−2.26232	+	3.11381i	−0.248322	+	0.341786i	−0.914923	−	0.403629i	$-0.867749\pi$
$83$	−2.26232	+	3.11381i	−0.248322	+	0.341786i	0.666601	+	0.745415i	$0.267749\pi$
$84$	−2.97051	+	2.47409i	−0.324109	+	0.269946i
$85$	6.92446	+	9.85641i	0.751063	+	1.06908i
$86$	1.15502	−	1.28278i	0.124549	−	0.138326i
$87$	2.01661	−	1.81576i	0.216203	−	0.194670i
$88$	−4.00090	+	3.60242i	−0.426497	+	0.384020i
$89$	−2.72014	+	3.02102i	−0.288334	+	0.320228i	−0.869858	−	0.493302i	$-0.835790\pi$
$89$	−2.72014	+	3.02102i	−0.288334	+	0.320228i	0.581524	+	0.813529i	$0.302457\pi$
$90$	−1.55280	−	0.531965i	−0.163679	−	0.0560740i
$91$	−2.07706	−	12.0369i	−0.217735	−	1.26181i
$92$	−7.20335	+	9.91456i	−0.751001	+	1.03366i
$93$	8.63316	−	4.98436i	0.895217	−	0.516854i
$94$	4.15790	−	1.85122i	0.428855	−	0.190939i
$95$	−1.30510	−	14.6542i	−0.133900	−	1.50349i
$96$	5.35109	+	2.38246i	0.546144	+	0.243159i
$97$	−7.72987	−	10.6393i	−0.784850	−	1.08025i	−0.994730	−	0.102526i	$-0.967307\pi$
$97$	−7.72987	−	10.6393i	−0.784850	−	1.08025i	0.209880	−	0.977727i	$-0.432693\pi$
$98$	−4.99470	+	1.20658i	−0.504541	+	0.121883i
$99$	−2.11901			−0.212969
$100$	−3.44998	−	6.43994i	−0.344998	−	0.643994i
$101$	−4.48427	+	7.76699i	−0.446202	+	0.772844i	−0.998135	−	0.0610442i	$-0.980557\pi$
$101$	−4.48427	+	7.76699i	−0.446202	+	0.772844i	0.551933	+	0.833888i	$0.313890\pi$
$102$	−0.822149	+	3.86791i	−0.0814049	+	0.382980i
$103$	3.74990	−	8.42241i	0.369489	−	0.829885i	−0.629128	−	0.777302i	$-0.716588\pi$
$103$	3.74990	−	8.42241i	0.369489	−	0.829885i	0.998617	−	0.0525833i	$-0.0167455\pi$
$104$	−9.48952	+	6.89454i	−0.930524	+	0.676065i
$105$	4.17451	+	4.19207i	0.407391	+	0.409104i
$106$	2.19662	+	1.59594i	0.213355	+	0.155011i
$107$	−9.27086	+	5.35253i	−0.896248	+	0.517449i	−0.875981	−	0.482346i	$-0.839785\pi$
$107$	−9.27086	+	5.35253i	−0.896248	+	0.517449i	−0.0202668	+	0.999795i	$0.506452\pi$
$108$	0.594310	+	1.33484i	0.0571875	+	0.128445i
$109$	6.71313	+	7.45569i	0.643002	+	0.714126i	0.973245	−	0.229770i	$-0.0737975\pi$
$109$	6.71313	+	7.45569i	0.643002	+	0.714126i	−0.330243	+	0.943896i	$0.607131\pi$
$110$	2.54744	+	2.36811i	0.242889	+	0.225791i
$111$	−0.0158454	−	0.0487672i	−0.00150398	−	0.00462878i
$112$	−1.79032	−	2.14953i	−0.169169	−	0.203112i
$113$	−6.65678	−	2.16292i	−0.626217	−	0.203470i	−0.0213185	−	0.999773i	$-0.506786\pi$
$113$	−6.65678	−	2.16292i	−0.626217	−	0.203470i	−0.604899	+	0.796302i	$0.706786\pi$
$114$	3.23169	−	3.58916i	0.302676	−	0.336156i
$115$	16.0906	+	9.63411i	1.50046	+	0.898385i
$116$	2.65313	+	2.94660i	0.246337	+	0.273585i
$117$	−4.59146	−	0.482582i	−0.424481	−	0.0446147i
$118$			4.65692i			0.428704i
$119$	8.81578	−	11.1990i	0.808141	−	1.02661i
$120$	1.84122	−	5.37449i	0.168079	−	0.490622i
$121$	−5.94698	−	2.64777i	−0.540635	−	0.240706i
$122$	10.2286	−	1.07507i	0.926056	−	0.0973324i
$123$	0.0433629	−	0.204007i	0.00390990	−	0.0183947i
$124$	7.28297	+	12.6145i	0.654030	+	1.13281i
$125$	−9.34804	+	6.13304i	−0.836114	+	0.548556i
$126$	−0.0748774	+	1.94068i	−0.00667061	+	0.172889i
$127$	15.7613	−	5.12114i	1.39858	−	0.454428i	0.489852	−	0.871806i	$-0.337051\pi$
$127$	15.7613	−	5.12114i	1.39858	−	0.454428i	0.908733	+	0.417378i	$0.137051\pi$
$128$	−4.11254	+	9.23692i	−0.363501	+	0.816436i
$129$	0.245802	+	2.33865i	0.0216417	+	0.205907i
$130$	4.98046	+	5.71136i	0.436815	+	0.500919i
$131$	−1.44390	+	13.7378i	−0.126154	+	1.20028i	0.729960	+	0.683489i	$0.239538\pi$
$131$	−1.44390	+	13.7378i	−0.126154	+	1.20028i	−0.856114	+	0.516786i	$0.827128\pi$
$132$		−	3.09623i		−	0.269492i
$133$	−16.1639	+	6.46196i	−1.40158	+	0.560323i
$134$	−3.09587	+	9.52810i	−0.267442	+	0.823103i
$135$	1.95402	−	1.08712i	0.168175	−	0.0935640i
$136$	−13.3875	−	2.84559i	−1.14797	−	0.244008i
$137$	−9.50917	+	8.56209i	−0.812423	+	0.731509i	−0.966532	−	0.256545i	$-0.917416\pi$
$137$	−9.50917	+	8.56209i	−0.812423	+	0.731509i	0.154109	+	0.988054i	$0.450749\pi$
$138$	1.28004	+	6.02210i	0.108964	+	0.512636i
$139$	1.77518	+	5.46343i	0.150569	+	0.463402i	0.997685	−	0.0680049i	$-0.0216634\pi$
$139$	1.77518	+	5.46343i	0.150569	+	0.463402i	−0.847116	+	0.531407i	$0.821663\pi$
$140$	−6.12531	+	6.09966i	−0.517683	+	0.515515i
$141$	−1.91602	+	5.89689i	−0.161358	+	0.496608i
$142$	9.11284	+	0.957798i	0.764732	+	0.0803766i
$143$	8.47229	+	4.89148i	0.708488	+	0.409046i
$144$	−0.965925	+	0.430058i	−0.0804938	+	0.0358381i
$145$	4.13133	−	4.44418i	0.343088	−	0.369069i
$146$	−0.958659	+	0.696506i	−0.0793392	+	0.0576433i
$147$	3.33142	−	6.15643i	0.274771	−	0.507774i
$148$	0.0712570	−	0.0231528i	0.00585729	−	0.00190315i
$149$	−10.1743	−	17.6224i	−0.833511	−	1.44368i	−0.895237	−	0.445591i	$-0.852994\pi$
$149$	−10.1743	−	17.6224i	−0.833511	−	1.44368i	0.0617254	−	0.998093i	$-0.480340\pi$
$150$	−3.56400	−	0.876808i	−0.290999	−	0.0715911i
$151$	6.42012	−	11.1200i	0.522462	−	0.904931i	−0.477196	−	0.878797i	$-0.658347\pi$
$151$	6.42012	−	11.1200i	0.522462	−	0.904931i	0.999658	−	0.0261342i	$-0.00831972\pi$
$152$	12.4227	+	11.1854i	1.00761	+	0.907258i
$153$	−3.16638	−	4.35815i	−0.255987	−	0.352335i
$154$	1.81758	−	3.69226i	0.146465	−	0.297531i
$155$	18.2395	−	12.8139i	1.46503	−	1.02924i
$156$	0.705132	−	6.70888i	0.0564557	−	0.537141i
$157$	−2.20822	−	1.27492i	−0.176235	−	0.101749i	0.409287	−	0.912405i	$-0.365777\pi$
$157$	−2.20822	−	1.27492i	−0.176235	−	0.101749i	−0.585523	+	0.810656i	$0.699111\pi$
$158$	−1.44620	−	3.24821i	−0.115053	−	0.258414i
$159$	−3.61805	+	0.769040i	−0.286930	+	0.0609889i
$160$	12.3908	+	4.24490i	0.979580	+	0.335589i
$161$	5.44706	−	21.5115i	0.429288	−	1.69534i
$162$	0.698126	+	0.226835i	0.0548500	+	0.0178218i
$163$	−0.609654	−	2.86820i	−0.0477518	−	0.224655i	0.947801	−	0.318863i	$-0.103301\pi$
$163$	−0.609654	−	2.86820i	−0.0477518	−	0.224655i	−0.995552	+	0.0942090i	$0.969968\pi$
$164$	0.298087	+	0.0633604i	0.0232767	+	0.00494762i
$165$	−4.71958	+	0.420326i	−0.367419	+	0.0327223i
$166$	−2.76355	+	0.587410i	−0.214493	+	0.0455919i
$167$	9.53589	−	13.1250i	0.737909	−	1.01564i	−0.260827	−	0.965386i	$-0.583995\pi$
$167$	9.53589	−	13.1250i	0.737909	−	1.01564i	0.998736	−	0.0502593i	$-0.0160048\pi$
$168$	−6.71701	−	0.259163i	−0.518229	−	0.0199949i
$169$	6.72648	+	4.88707i	0.517421	+	0.375929i
$170$	−1.06390	+	8.77789i	−0.0815973	+	0.673233i
$171$	0.687743	+	6.54344i	0.0525930	+	0.500389i
$172$	−3.41716	+	0.359158i	−0.260556	+	0.0273855i
$173$	−6.68657	−	6.02062i	−0.508371	−	0.457739i	0.374587	−	0.927192i	$-0.377785\pi$
$173$	−6.68657	−	6.02062i	−0.508371	−	0.457739i	−0.882958	+	0.469453i	$0.844451\pi$
$174$	1.99194			0.151009
$175$	10.1292	+	8.50874i	0.765698	+	0.643200i
$176$	2.24051			0.168885
$177$	−4.71460	−	4.24504i	−0.354371	−	0.319077i
$178$	−2.96771	+	0.311919i	−0.222440	+	0.0233793i
$179$	−0.484451	−	4.60924i	−0.0362096	−	0.344511i	−0.997595	−	0.0693070i	$-0.977921\pi$
$179$	−0.484451	−	4.60924i	−0.0362096	−	0.344511i	0.961386	−	0.275204i	$-0.0887455\pi$
$180$	1.58846	+	2.85514i	0.118396	+	0.212810i
$181$	−2.26101	−	1.64272i	−0.168060	−	0.122103i	0.500576	−	0.865692i	$-0.333122\pi$
$181$	−2.26101	−	1.64272i	−0.168060	−	0.122103i	−0.668636	+	0.743590i	$0.733122\pi$
$182$	4.77919	−	7.58642i	0.354257	−	0.562343i
$183$	−8.23557	+	11.3353i	−0.608791	+	0.837929i
$184$	−20.8435	+	4.43042i	−1.53660	+	0.326615i
$185$	−0.0449652	−	0.105474i	−0.00330591	−	0.00775459i
$186$	7.15766	+	1.52141i	0.524825	+	0.111555i
$187$	2.37332	+	11.1656i	0.173555	+	0.816510i
$188$	−8.61633	−	2.79962i	−0.628410	−	0.204183i
$189$	−1.89646	−	1.84484i	−0.137947	−	0.134192i
$190$	6.48586	−	8.63500i	0.470534	−	0.626449i
$191$	−12.3594	+	2.62708i	−0.894297	+	0.190089i	−0.632064	−	0.774916i	$-0.717792\pi$
$191$	−12.3594	+	2.62708i	−0.894297	+	0.190089i	−0.262233	+	0.965005i	$0.584459\pi$
$192$	0.888738	+	1.99614i	0.0641391	+	0.144059i
$193$	0.143801	+	0.0830235i	0.0103510	+	0.00597616i	0.505167	−	0.863022i	$-0.331431\pi$
$193$	0.143801	+	0.0830235i	0.0103510	+	0.00597616i	−0.494816	+	0.868998i	$0.664764\pi$
$194$	1.00906	−	9.60054i	0.0724461	−	0.689279i
$195$	−10.3221	−	0.164074i	−0.739178	−	0.0117496i
$196$	8.99556	+	4.86776i	0.642540	+	0.347697i
$197$	−3.83651	−	5.28051i	−0.273340	−	0.376221i	0.650174	−	0.759786i	$-0.274696\pi$
$197$	−3.83651	−	5.28051i	−0.273340	−	0.376221i	−0.923514	+	0.383565i	$0.874696\pi$
$198$	−1.15594	−	1.04081i	−0.0821490	−	0.0739673i
$199$	−9.09368	+	15.7507i	−0.644634	+	1.11654i	0.339752	+	0.940515i	$0.389657\pi$
$199$	−9.09368	+	15.7507i	−0.644634	+	1.11654i	−0.984386	+	0.176024i	$0.943676\pi$
$200$	3.03478	−	12.3356i	0.214591	−	0.872257i
$201$	−6.82405	−	11.8196i	−0.481332	−	0.833691i
$202$	−6.26117	+	2.03438i	−0.440535	+	0.143138i
$203$	−6.44139	−	3.17089i	−0.452097	−	0.222553i
$204$	6.36797	−	4.62660i	0.445847	−	0.323927i
$205$	0.0561137	−	0.462976i	0.00391915	−	0.0323356i
$206$	6.18250	−	2.75263i	0.430755	−	0.191785i
$207$	−7.26352	−	4.19359i	−0.504849	−	0.291475i
$208$	4.85472	+	0.510251i	0.336614	+	0.0353796i
$209$	4.30832	−	13.2596i	0.298013	−	0.917189i
$210$	0.218180	+	4.33723i	0.0150559	+	0.299298i
$211$	0.137573	+	0.423407i	0.00947093	+	0.0291485i	0.955680	−	0.294406i	$-0.0951219\pi$
$211$	0.137573	+	0.423407i	0.00947093	+	0.0291485i	−0.946209	+	0.323555i	$0.895122\pi$
$212$	−1.12370	−	5.28657i	−0.0771757	−	0.363083i
$213$	−9.27652	+	8.35262i	−0.635617	+	0.572312i
$214$	−7.68637	−	1.63379i	−0.525429	−	0.111683i
$215$	1.01136	+	5.16001i	0.0689739	+	0.351910i
$216$	−0.785113	+	2.41633i	−0.0534202	+	0.164410i
$217$	−20.7241	−	16.3138i	−1.40684	−	1.10745i
$218$			7.36448i			0.498785i
$219$	0.168738	−	1.60544i	0.0114023	−	0.108485i
$220$	−0.614166	−	6.89609i	−0.0414070	−	0.464934i
$221$	2.59965	+	24.7340i	0.174871	+	1.66379i
$222$	0.0153096	−	0.0343858i	0.00102751	−	0.00230783i
$223$	16.8675	−	5.48057i	1.12953	−	0.367006i	0.316131	−	0.948715i	$-0.397616\pi$
$223$	16.8675	−	5.48057i	1.12953	−	0.367006i	0.813397	+	0.581709i	$0.197616\pi$
$224$	0.597497	−	15.4860i	0.0399219	−	1.03470i
$225$	4.13645	−	2.80888i	0.275763	−	0.187258i
$226$	−2.56895	−	4.44955i	−0.170884	−	0.295980i
$227$	1.12748	−	5.30438i	0.0748336	−	0.352064i	−0.924761	−	0.380549i	$-0.875735\pi$
$227$	1.12748	−	5.30438i	0.0748336	−	0.352064i	0.999594	+	0.0284849i	$0.00906826\pi$
$228$	−9.56105	+	1.00491i	−0.633196	+	0.0665516i
$229$	2.32396	+	1.03469i	0.153571	+	0.0683744i	0.482083	−	0.876126i	$-0.339880\pi$
$229$	2.32396	+	1.03469i	0.153571	+	0.0683744i	−0.328512	+	0.944500i	$0.606547\pi$
$230$	4.04551	+	13.1588i	0.266753	+	0.867668i
$231$	2.08116	+	5.20579i	0.136930	+	0.342516i
$232$			6.89443i			0.452642i
$233$	14.7198	+	1.54712i	0.964329	+	0.101355i	0.573587	−	0.819145i	$-0.305552\pi$
$233$	14.7198	+	1.54712i	0.964329	+	0.101355i	0.390742	+	0.920500i	$0.372218\pi$
$234$	−2.26764	−	2.51847i	−0.148241	−	0.164638i
$235$	−3.09775	+	13.5139i	−0.202075	+	0.881551i
$236$	6.20271	−	6.88881i	0.403762	−	0.448423i
$237$	4.60673	+	1.49682i	0.299239	+	0.0972287i
$238$	10.3098	−	1.77904i	0.668284	−	0.115318i
$239$	7.10542	+	21.8682i	0.459612	+	1.41454i	0.865635	+	0.500676i	$0.166915\pi$
$239$	7.10542	+	21.8682i	0.459612	+	1.41454i	−0.406023	+	0.913863i	$0.633085\pi$
$240$	−2.06605	+	1.14945i	−0.133363	+	0.0741965i
$241$	−15.4691	−	17.1802i	−0.996451	−	1.10667i	−0.994294	−	0.106673i	$-0.965980\pi$
$241$	−15.4691	−	17.1802i	−0.996451	−	1.10667i	−0.00215700	−	0.999998i	$-0.500687\pi$
$242$	−1.94360	−	4.36540i	−0.124939	−	0.280619i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	−16.5627	−	12.0335i	−1.06032	−	0.770368i
$245$	6.19874	−	14.3727i	0.396023	−	0.918241i
$246$	0.123858	−	0.0899883i	0.00789692	−	0.00573745i
$247$	12.3550	−	27.7497i	0.786127	−	1.76567i
$248$	−5.26584	+	24.7739i	−0.334381	+	1.57314i
$249$	1.92444	−	3.33323i	0.121957	−	0.211235i
$250$	−8.11184	−	1.24592i	−0.513038	−	0.0787990i
$251$	6.87012			0.433638			0.216819	−	0.976212i	$-0.430432\pi$
$251$	6.87012			0.433638			0.216819	+	0.976212i	$0.430432\pi$
$252$	2.69562	−	2.77104i	0.169808	−	0.174559i
$253$	10.4464	+	14.3783i	0.656763	+	0.903956i
$254$	11.1133	+	4.94795i	0.697309	+	0.310462i
$255$	−7.91680	−	9.07861i	−0.495769	−	0.568525i
$256$	−10.7727	+	4.79630i	−0.673292	+	0.299769i
$257$	−12.8593	+	7.42429i	−0.802138	+	0.463115i	−0.844218	−	0.536000i	$-0.819935\pi$
$257$	−12.8593	+	7.42429i	−0.802138	+	0.463115i	0.0420801	+	0.999114i	$0.486602\pi$
$258$	−1.01461	+	1.39649i	−0.0631666	+	0.0869414i
$259$	−0.104244	+	0.0868237i	−0.00647743	+	0.00539496i
$260$	0.239739	−	15.0822i	0.0148680	−	0.935361i
$261$	−1.81576	+	2.01661i	−0.112393	+	0.124825i
$262$	−7.53535	+	6.78486i	−0.465535	+	0.419170i
$263$	−5.27758	+	4.75196i	−0.325430	+	0.293018i	−0.815609	−	0.578603i	$-0.803598\pi$
$263$	−5.27758	+	4.75196i	−0.325430	+	0.293018i	0.490179	+	0.871622i	$0.336931\pi$
$264$	3.60242	−	4.00090i	0.221714	−	0.246238i
$265$	−7.90576	+	2.43052i	−0.485647	+	0.149306i
$266$	−11.9915	−	4.41428i	−0.735245	−	0.270657i
$267$	2.38946	−	3.28880i	0.146232	−	0.201271i
$268$	17.2704	−	9.97107i	1.05496	−	0.609080i
$269$	16.3131	−	7.26305i	0.994626	−	0.442836i	0.156126	−	0.987737i	$-0.450099\pi$
$269$	16.3131	−	7.26305i	0.994626	−	0.442836i	0.838500	+	0.544901i	$0.183433\pi$
$270$	1.59990	+	0.366739i	0.0973667	+	0.0223190i
$271$	−6.59028	−	2.93418i	−0.400331	−	0.178239i	0.196688	−	0.980466i	$-0.436982\pi$
$271$	−6.59028	−	2.93418i	−0.400331	−	0.178239i	−0.597019	+	0.802227i	$0.703648\pi$
$272$	3.34793	+	4.60803i	0.202998	+	0.279403i
$273$	3.32388	+	11.7538i	0.201170	+	0.711374i
$274$	−9.39284			−0.567442
$275$	−10.4283	+	1.87234i	−0.628851	+	0.112907i
$276$	6.12753	−	10.6132i	0.368834	−	0.638840i
$277$	−2.98081	+	14.0236i	−0.179100	+	0.842597i	0.793219	+	0.608937i	$0.208404\pi$
$277$	−2.98081	+	14.0236i	−0.179100	+	0.842597i	−0.972318	+	0.233660i	$0.924930\pi$
$278$	−1.71514	+	3.85227i	−0.102867	+	0.231044i
$279$	−8.06486	+	5.85946i	−0.482831	+	0.350797i
$280$	−15.0119	+	0.755158i	−0.897132	+	0.0451293i
$281$	13.7428	+	9.98473i	0.819827	+	0.595639i	0.916663	−	0.399661i	$-0.130872\pi$
$281$	13.7428	+	9.98473i	0.819827	+	0.595639i	−0.0968359	+	0.995300i	$0.530872\pi$
$282$	−3.94162	+	2.27570i	−0.234720	+	0.135516i
$283$	−8.53336	−	19.1662i	−0.507255	−	1.13931i	−0.967810	−	0.251683i	$-0.919016\pi$
$283$	−8.53336	−	19.1662i	−0.507255	−	1.13931i	0.460554	−	0.887632i	$-0.347651\pi$
$284$	−12.2046	−	13.5545i	−0.724207	−	0.804314i
$285$	2.82973	+	14.4375i	0.167619	+	0.855202i
$286$	2.21912	+	6.82974i	0.131219	+	0.403851i
$287$	−0.543773	+	0.0938325i	−0.0320979	+	0.00553876i
$288$	−5.57082	−	1.81007i	−0.328263	−	0.106659i
$289$	−8.04254	+	8.93214i	−0.473091	+	0.525420i
$290$	4.43655	−	0.395119i	0.260523	−	0.0232022i
$291$	8.79963	+	9.77298i	0.515844	+	0.572903i
$292$	2.34581	+	0.246554i	0.137278	+	0.0144285i
$293$		−	5.63963i		−	0.329471i	−0.986338	−	0.164735i	$-0.947323\pi$
$293$		−	5.63963i		−	0.329471i	0.986338	−	0.164735i	$-0.0526770\pi$
$294$	4.84122	−	1.72206i	0.282346	−	0.100433i
$295$	−11.3426	−	8.51960i	−0.660394	−	0.496030i
$296$	0.119015	+	0.0529889i	0.00691761	+	0.00307992i
$297$	2.10741	−	0.221497i	0.122284	−	0.0128526i
$298$	3.10557	−	14.6106i	0.179901	−	0.846367i
$299$	19.3608	+	33.5338i	1.11966	+	1.93931i
$300$	4.10424	+	6.04404i	0.236958	+	0.348953i
$301$	5.50397	−	2.90074i	0.317244	−	0.167196i
$302$	8.96411	−	2.91262i	0.515827	−	0.167602i
$303$	3.64784	−	8.19317i	0.209563	−	0.470685i
$304$	−0.727176	−	6.91862i	−0.0417064	−	0.396810i
$305$	−16.0942	+	26.8802i	−0.921553	+	1.53915i
$306$	0.413339	−	3.93266i	0.0236290	−	0.224815i
$307$			13.3342i			0.761023i	0.924776	+	0.380512i	$0.124252\pi$
$307$			13.3342i			0.761023i	−0.924776	+	0.380512i	$0.875748\pi$
$308$	−7.60653	+	3.04092i	−0.433422	+	0.173273i
$309$	−2.84898	+	8.76825i	−0.162073	+	0.498808i
$310$	16.2437	+	1.96877i	0.922580	+	0.111819i
$311$	−7.49405	−	1.59291i	−0.424948	−	0.0903256i	−0.00952698	−	0.999955i	$-0.503033\pi$
$311$	−7.49405	−	1.59291i	−0.424948	−	0.0903256i	−0.415422	+	0.909629i	$0.636366\pi$
$312$	8.71686	−	7.84869i	0.493495	−	0.444345i
$313$	−5.97759	−	28.1224i	−0.337874	−	1.58957i	−0.739103	−	0.673593i	$-0.764750\pi$
$313$	−5.97759	−	28.1224i	−0.337874	−	1.58957i	0.401229	−	0.915978i	$-0.368583\pi$
$314$	−0.578391	−	1.78010i	−0.0326405	−	0.100457i
$315$	−4.58984	−	3.73275i	−0.258608	−	0.210317i
$316$	−2.18710	+	6.73120i	−0.123034	+	0.378659i
$317$	−16.4534	−	1.72933i	−0.924118	−	0.0971287i	−0.369497	−	0.929232i	$-0.620470\pi$
$317$	−16.4534	−	1.72933i	−0.924118	−	0.0971287i	−0.554621	+	0.832103i	$0.687137\pi$
$318$	−2.35141	−	1.35759i	−0.131861	−	0.0761297i
$319$	5.25306	−	2.33881i	0.294115	−	0.130948i
$320$	2.37540	+	4.26961i	0.132789	+	0.238679i
$321$	8.66058	−	6.29228i	0.483386	−	0.351201i
$322$	13.5374	−	9.05921i	0.754408	−	0.504850i
$323$	33.7087	−	10.9526i	1.87560	−	0.609420i
$324$	−0.730583	−	1.26541i	−0.0405879	−	0.0703004i
$325$	−23.0224	+	1.68204i	−1.27705	+	0.0933029i
$326$	1.07622	−	1.86407i	0.0596065	−	0.103241i
$327$	−7.45569	−	6.71313i	−0.412301	−	0.371237i
$328$	0.311464	+	0.428694i	0.0171977	+	0.0236707i
$329$	16.3687	−	1.08447i	0.902436	−	0.0597886i
$330$	−2.78102	−	2.08886i	−0.153090	−	0.114988i
$331$	−0.0926517	+	0.881522i	−0.00509260	+	0.0484528i	−0.996773	−	0.0802710i	$-0.974421\pi$
$331$	−0.0926517	+	0.881522i	−0.00509260	+	0.0484528i	0.991680	+	0.128724i	$0.0410881\pi$
$332$	4.87041	+	2.81193i	0.267298	+	0.154325i
$333$	0.0208562	+	0.0468438i	0.00114291	+	0.00256702i
$334$	11.6486	−	2.47599i	0.637384	−	0.135480i
$335$	−17.5434	−	24.9716i	−0.958499	−	1.36435i
$336$	2.00520	+	1.95062i	0.109392	+	0.106415i
$337$	−22.9338	−	7.45164i	−1.24928	−	0.405917i	−0.391619	−	0.920128i	$-0.628085\pi$
$337$	−22.9338	−	7.45164i	−1.24928	−	0.405917i	−0.857664	+	0.514211i	$0.828085\pi$
$338$	1.26893	+	5.96983i	0.0690205	+	0.324716i
$339$	6.84640	+	1.45525i	0.371845	+	0.0790382i
$340$	13.2654	−	11.5678i	0.719415	−	0.627350i
$341$	20.6622	−	4.39189i	1.11892	−	0.237834i
$342$	−2.83882	+	3.90730i	−0.153506	+	0.211283i
$343$	−18.3965	−	2.13787i	−0.993315	−	0.115434i
$344$	−4.83347	−	3.51172i	−0.260603	−	0.189339i
$345$	−17.0095	−	7.89941i	−0.915762	−	0.425290i
$346$	−0.690387	−	6.56859i	−0.0371154	−	0.353130i
$347$	−32.2376	+	3.38831i	−1.73061	+	0.181894i	−0.916828	−	0.399282i	$-0.869259\pi$
$347$	−32.2376	+	3.38831i	−1.73061	+	0.181894i	−0.813778	+	0.581176i	$0.802593\pi$
$348$	−2.94660	−	2.65313i	−0.157954	−	0.142223i
$349$	−4.12396			−0.220750			−0.110375	−	0.993890i	$-0.535205\pi$
$349$	−4.12396			−0.220750			−0.110375	+	0.993890i	$0.535205\pi$
$350$	1.34627	+	9.61684i	0.0719613	+	0.514042i
$351$	4.61675			0.246424
$352$	9.22401	+	8.30533i	0.491641	+	0.442676i
$353$	−8.37317	+	0.880055i	−0.445659	+	0.0468406i	−0.324700	−	0.945817i	$-0.605263\pi$
$353$	−8.37317	+	0.880055i	−0.445659	+	0.0468406i	−0.120958	+	0.992658i	$0.538597\pi$
$354$	−0.486781	−	4.63141i	−0.0258721	−	0.246157i
$355$	−19.0043	+	20.4435i	−1.00865	+	1.08503i
$356$	4.80549	+	3.49139i	0.254690	+	0.185043i
$357$	−7.59687	+	12.0592i	−0.402069	+	0.638238i
$358$	1.99969	−	2.75233i	0.105687	−	0.145465i
$359$	7.28355	−	1.54817i	0.384411	−	0.0817091i	−0.0116527	−	0.999932i	$-0.503709\pi$
$359$	7.28355	−	1.54817i	0.384411	−	0.0817091i	0.396064	+	0.918223i	$0.370376\pi$
$360$	−1.26934	+	5.53751i	−0.0669003	+	0.291853i
$361$	−23.7588	−	5.05009i	−1.25046	−	0.265794i
$362$	−0.426532	−	2.00668i	−0.0224180	−	0.105469i
$363$	6.19117	+	2.01163i	0.324952	+	0.105583i
$364$	−17.1743	+	4.85674i	−0.900177	+	0.254562i
$365$	0.0573696	−	3.60918i	0.00300286	−	0.188913i
$366$	−10.0602	+	2.13836i	−0.525856	+	0.111774i
$367$	5.77652	+	12.9743i	0.301532	+	0.677251i	0.999234	−	0.0391366i	$-0.0124608\pi$
$367$	5.77652	+	12.9743i	0.301532	+	0.677251i	−0.697702	+	0.716388i	$0.745794\pi$
$368$	7.67998	+	4.43404i	0.400347	+	0.231140i
$369$	−0.0218009	+	0.207422i	−0.00113491	+	0.0107979i
$370$	0.0272775	−	0.0796227i	0.00141809	−	0.00413939i
$371$	5.44273	+	8.13318i	0.282572	+	0.422254i
$372$	−8.56165	−	11.7841i	−0.443901	−	0.610977i
$373$	−2.45293	−	2.20863i	−0.127008	−	0.114359i	0.603179	−	0.797606i	$-0.293900\pi$
$373$	−2.45293	−	2.20863i	−0.127008	−	0.114359i	−0.730187	+	0.683247i	$0.760567\pi$
$374$	−4.18963	+	7.25665i	−0.216641	+	0.375232i
$375$	8.65575	−	7.07658i	0.446981	−	0.365433i
$376$	−7.87656	−	13.6426i	−0.406203	−	0.703563i
$377$	11.9149	−	3.87139i	0.613650	−	0.199387i
$378$	−0.128389	−	1.93787i	−0.00660361	−	0.0996735i
$379$	−5.71781	+	4.15423i	−0.293704	+	0.213389i	−0.724873	−	0.688883i	$-0.758101\pi$
$379$	−5.71781	+	4.15423i	−0.293704	+	0.213389i	0.431169	+	0.902271i	$0.358101\pi$
$380$	−21.0955	+	4.13470i	−1.08218	+	0.212106i
$381$	−15.1396	+	6.74059i	−0.775625	+	0.345331i
$382$	−8.03253	−	4.63758i	−0.410980	−	0.237279i
$383$	15.4671	+	1.62565i	0.790330	+	0.0830670i	0.491088	−	0.871110i	$-0.336599\pi$
$383$	15.4671	+	1.62565i	0.790330	+	0.0830670i	0.299242	+	0.954177i	$0.403266\pi$
$384$	3.12449	−	9.61619i	0.159446	−	0.490724i
$385$	5.66789	+	11.1818i	0.288862	+	0.569877i
$386$	0.0376653	+	0.115922i	0.00191711	+	0.00590026i
$387$	−0.488911	−	2.30015i	−0.0248528	−	0.116923i
$388$	−14.2800	+	12.8577i	−0.724955	+	0.652752i
$389$	9.41337	+	2.00087i	0.477277	+	0.101448i	0.440267	−	0.897867i	$-0.354884\pi$
$389$	9.41337	+	2.00087i	0.477277	+	0.101448i	0.0370091	+	0.999315i	$0.488217\pi$
$390$	−5.55018	−	5.15947i	−0.281044	−	0.261260i
$391$	−13.9618	+	42.9701i	−0.706081	+	2.17309i
$392$	5.96034	+	16.7563i	0.301043	+	0.846319i
$393$		−	13.8135i		−	0.696797i
$394$	0.500818	−	4.76497i	0.0252309	−	0.240056i
$395$	10.5573	+	2.42000i	0.531193	+	0.121764i
$396$	0.323644	+	3.07927i	0.0162637	+	0.154739i
$397$	−1.37546	+	3.08934i	−0.0690324	+	0.155049i	−0.944766	−	0.327745i	$-0.893711\pi$
$397$	−1.37546	+	3.08934i	−0.0690324	+	0.155049i	0.875734	+	0.482794i	$0.160378\pi$
$398$	−12.6971	+	4.12553i	−0.636447	+	0.206794i
$399$	15.3999	−	8.11614i	0.770957	−	0.406315i
$400$	−4.37362	+	2.96993i	−0.218681	+	0.148496i
$401$	−0.336191	−	0.582300i	−0.0167886	−	0.0290787i	0.857509	−	0.514469i	$-0.172011\pi$
$401$	−0.336191	−	0.582300i	−0.0167886	−	0.0290787i	−0.874298	+	0.485390i	$0.838678\pi$
$402$	2.08295	−	9.79951i	0.103888	−	0.488755i
$403$	45.7709	−	4.81072i	2.28001	−	0.239639i
$404$	11.9716	+	5.33009i	0.595608	+	0.265182i
$405$	−1.82968	+	1.28541i	−0.0909174	+	0.0638726i
$406$	−1.95636	−	4.89361i	−0.0970924	−	0.242866i
$407$		−	0.108656i		−	0.00538590i
$408$	13.6116	+	1.43063i	0.673874	+	0.0708270i
$409$	−13.2386	−	14.7029i	−0.654606	−	0.727013i	0.320869	−	0.947123i	$-0.396025\pi$
$409$	−13.2386	−	14.7029i	−0.654606	−	0.727013i	−0.975475	+	0.220110i	$0.929358\pi$
$410$	0.258014	−	0.224995i	0.0127424	−	0.0111117i
$411$	8.56209	−	9.50917i	0.422337	−	0.469053i
$412$	−12.8119	−	4.16283i	−0.631195	−	0.205088i
$413$	−5.79844	+	15.7516i	−0.285323	+	0.775086i
$414$	−1.90251	−	5.85531i	−0.0935031	−	0.287773i
$415$	3.62504	−	7.80568i	0.177946	−	0.383166i
$416$	18.0950	+	20.0966i	0.887183	+	0.985316i
$417$	−2.33654	−	5.24795i	−0.114421	−	0.256993i
$418$	8.86306	−	5.11709i	0.433507	−	0.250285i
$419$	−25.5164	−	18.5387i	−1.24656	−	0.905676i	−0.248539	−	0.968622i	$-0.579951\pi$
$419$	−25.5164	−	18.5387i	−1.24656	−	0.905676i	−0.998017	+	0.0629456i	$0.979951\pi$
$420$	5.45416	−	6.70651i	0.266136	−	0.327244i
$421$	−3.70519	+	2.69198i	−0.180580	+	0.131199i	−0.674403	−	0.738363i	$-0.735599\pi$
$421$	−3.70519	+	2.69198i	−0.180580	+	0.131199i	0.493823	+	0.869562i	$0.335599\pi$
$422$	−0.132921	+	0.298545i	−0.00647048	+	0.0145329i
$423$	1.28913	−	6.06486i	0.0626795	−	0.294884i
$424$	4.69883	−	8.13862i	0.228196	−	0.395246i
$425$	−19.4335	−	18.6500i	−0.942665	−	0.904657i
$426$	−9.16303			−0.443950
$427$	35.9359	+	9.09957i	1.73906	+	0.440359i
$428$	9.19406	+	12.6545i	0.444412	+	0.611680i
$429$	−8.93718	−	3.97909i	−0.431491	−	0.192112i
$430$	−1.98278	+	3.31158i	−0.0956181	+	0.159699i
$431$	2.30824	−	1.02770i	0.111184	−	0.0495024i	−0.350391	−	0.936604i	$-0.613951\pi$
$431$	2.30824	−	1.02770i	0.111184	−	0.0495024i	0.461575	+	0.887101i	$0.347285\pi$
$432$	0.915680	−	0.528668i	0.0440557	−	0.0254356i
$433$	−6.50151	+	8.94857i	−0.312443	+	0.430041i	−0.936141	−	0.351625i	$-0.885629\pi$
$433$	−6.50151	+	8.94857i	−0.312443	+	0.430041i	0.623698	+	0.781665i	$0.285629\pi$
$434$	−3.29215	−	19.0785i	−0.158028	−	0.915798i
$435$	−3.64415	+	4.85167i	−0.174724	+	0.232620i
$436$	9.80900	−	10.8940i	0.469766	−	0.521728i
$437$	41.0092	−	36.9249i	1.96174	−	1.76636i
$438$	0.880602	−	0.792898i	0.0420768	−	0.0378861i
$439$	24.9569	−	27.7175i	1.19113	−	1.32288i	0.256805	−	0.966463i	$-0.417330\pi$
$439$	24.9569	−	27.7175i	1.19113	−	1.32288i	0.934326	−	0.356421i	$-0.116003\pi$
$440$	7.22989	−	9.62558i	0.344672	−	0.458881i
$441$	−2.66965	+	6.47093i	−0.127126	+	0.308140i
$442$	−10.7307	+	14.7695i	−0.510406	+	0.702513i
$443$	2.70170	−	1.55983i	0.128362	−	0.0741097i	−0.434444	−	0.900699i	$-0.643055\pi$
$443$	2.70170	−	1.55983i	0.128362	−	0.0741097i	0.562806	+	0.826589i	$0.309722\pi$
$444$	−0.0684465	+	0.0304744i	−0.00324833	+	0.00144625i
$445$	4.66956	−	7.79896i	0.221358	−	0.369706i
$446$	11.8933	+	5.29522i	0.563162	+	0.250736i
$447$	11.9606	+	16.4624i	0.565717	+	0.778643i
$448$	4.03106	−	4.14385i	0.190450	−	0.195779i
$449$	−8.66497			−0.408925			−0.204463	−	0.978874i	$-0.565545\pi$
$449$	−8.66497			−0.408925			−0.204463	+	0.978874i	$0.565545\pi$
$450$	3.63612	+	0.499466i	0.171408	+	0.0235451i
$451$	0.220975	−	0.382740i	0.0104053	−	0.0180225i
$452$	−2.12636	+	10.0037i	−0.100015	+	0.470536i
$453$	−5.22260	+	11.7301i	−0.245379	+	0.551130i
$454$	3.22044	−	2.33979i	0.151143	−	0.109812i
$455$	9.73460	+	25.5194i	0.456365	+	1.19637i
$456$	−13.5238	−	9.82563i	−0.633311	−	0.460127i
$457$	−19.8656	+	11.4694i	−0.929274	+	0.536517i	−0.886582	−	0.462571i	$-0.846927\pi$
$457$	−19.8656	+	11.4694i	−0.929274	+	0.536517i	−0.0426924	+	0.999088i	$0.513594\pi$
$458$	0.759519	+	1.70591i	0.0354900	+	0.0797119i
$459$	3.60458	+	4.00329i	0.168248	+	0.186858i
$460$	11.5423	−	24.8537i	0.538164	−	1.15881i
$461$	0.0889418	+	0.273735i	0.00414243	+	0.0127491i	0.953106	−	0.302636i	$-0.0978665\pi$
$461$	0.0889418	+	0.273735i	0.00414243	+	0.0127491i	−0.948964	+	0.315385i	$0.897866\pi$
$462$	−1.42168	+	3.86202i	−0.0661425	+	0.179678i
$463$	38.3062	+	12.4464i	1.78024	+	0.578435i	0.998953	−	0.0457388i	$-0.0145642\pi$
$463$	38.3062	+	12.4464i	1.78024	+	0.578435i	0.781286	+	0.624174i	$0.214564\pi$
$464$	1.91987	−	2.13224i	0.0891279	−	0.0989866i
$465$	−16.8002	+	14.6502i	−0.779091	+	0.679389i
$466$	7.26988	+	8.07402i	0.336771	+	0.374022i
$467$	−40.6862	−	4.27629i	−1.88273	−	0.197883i	−0.907651	−	0.419726i	$-0.862126\pi$
$467$	−40.6862	−	4.27629i	−1.88273	−	0.197883i	−0.975082	+	0.221843i	$0.928793\pi$
$468$			6.74584i			0.311826i
$469$	−22.3351	+	28.3732i	−1.03134	+	1.31015i
$470$	−8.32758	+	5.85041i	−0.384123	+	0.269859i
$471$	2.32939	+	1.03711i	0.107333	+	0.0477875i
$472$	16.0301	−	1.68483i	0.737844	−	0.0775506i
$473$	−1.03601	+	4.87404i	−0.0476358	+	0.224109i
$474$	1.77780	+	3.07925i	0.0816573	+	0.141435i
$475$	9.16633	+	31.5946i	0.420580	+	1.44966i
$476$	−17.6204	−	11.1003i	−0.807631	−	0.508781i
$477$	3.51784	−	1.14302i	0.161071	−	0.0523351i
$478$	−6.86513	+	15.4193i	−0.314004	+	0.705264i
$479$	−2.52759	−	24.0484i	−0.115489	−	1.09880i	−0.886739	−	0.462270i	$-0.847035\pi$
$479$	−2.52759	−	24.0484i	−0.115489	−	1.09880i	0.771251	−	0.636531i	$-0.219631\pi$
$480$	−12.7667	−	2.92646i	−0.582715	−	0.133574i
$481$	0.0247453	−	0.235436i	0.00112829	−	0.0107349i
$482$		−	16.9700i		−	0.772961i
$483$	−3.16866	+	21.9630i	−0.144179	+	0.999352i
$484$	−2.93933	+	9.04632i	−0.133606	+	0.411197i
$485$	21.5376	+	20.0214i	0.977971	+	0.909126i
$486$	−0.718012	−	0.152618i	−0.0325697	−	0.00692291i
$487$	−6.82630	+	6.14643i	−0.309329	+	0.278521i	−0.809143	−	0.587611i	$-0.800068\pi$
$487$	−6.82630	+	6.14643i	−0.309329	+	0.278521i	0.499814	+	0.866133i	$0.333402\pi$
$488$	−7.40123	−	34.8201i	−0.335038	−	1.57623i
$489$	0.906122	+	2.78876i	0.0409763	+	0.126112i
$490$	10.4410	−	4.79576i	0.471678	−	0.216651i
$491$	−1.37994	+	4.24703i	−0.0622760	+	0.191666i	−0.977354	−	0.211611i	$-0.932129\pi$
$491$	−1.37994	+	4.24703i	−0.0622760	+	0.191666i	0.915078	+	0.403277i	$0.132129\pi$
$492$	−0.303077	−	0.0318547i	−0.0136638	−	0.00143612i
$493$	12.6597	+	7.30908i	0.570164	+	0.329184i
$494$	20.3698	−	9.06920i	0.916479	−	0.408043i
$495$	4.64979	−	0.911353i	0.208992	−	0.0409623i
$496$	8.52727	−	6.19543i	0.382886	−	0.278183i
$497$	29.6307	+	14.5863i	1.32912	+	0.654284i
$498$	2.68701	−	0.873062i	0.120408	−	0.0391228i
$499$	5.04229	+	8.73350i	0.225724	+	0.390965i	0.956536	−	0.291613i	$-0.0941920\pi$
$499$	5.04229	+	8.73350i	0.225724	+	0.390965i	−0.730813	+	0.682578i	$0.760859\pi$
$500$	10.3401	+	12.6475i	0.462421	+	0.565613i
$501$	−8.11171	+	14.0499i	−0.362405	+	0.627703i
$502$	3.74771	+	3.37445i	0.167268	+	0.150609i
$503$	−15.2161	−	20.9432i	−0.678453	−	0.933810i	0.321461	−	0.946923i	$-0.395826\pi$
$503$	−15.2161	−	20.9432i	−0.678453	−	0.933810i	−0.999914	+	0.0131124i	$0.995826\pi$
$504$	6.70730	−	0.444375i	0.298767	−	0.0197940i
$505$	6.49946	−	18.9718i	0.289222	−	0.844236i
$506$	−1.36368	+	12.9745i	−0.0606229	+	0.576789i
$507$	−7.20047	−	4.15719i	−0.319784	−	0.184627i
$508$	−9.84911	−	22.1215i	−0.436984	−	0.981482i
$509$	9.86357	−	2.09657i	0.437195	−	0.0929287i	0.0159443	−	0.999873i	$-0.494925\pi$
$509$	9.86357	−	2.09657i	0.437195	−	0.0929287i	0.421251	+	0.906944i	$0.361591\pi$
$510$	0.140532	−	8.84101i	0.00622285	−	0.391486i
$511$	−4.10981	+	1.16222i	−0.181807	+	0.0514135i
$512$	11.0000	+	3.57411i	0.486135	+	0.157955i
$513$	−1.36795	−	6.43571i	−0.0603965	−	0.284143i
$514$	−10.6615	−	2.26617i	−0.470257	−	0.0999563i
$515$	−4.60613	+	20.0942i	−0.202970	+	0.885457i
$516$	3.36090	−	0.714381i	0.147955	−	0.0314488i
$517$	−7.72270	+	10.6294i	−0.339644	+	0.467480i
$518$	−0.0995120	−	0.00383948i	−0.00437231	−	0.000168697i
$519$	7.27927	+	5.28870i	0.319524	+	0.232148i
$520$	17.8578	−	19.2101i	0.783115	−	0.842418i
$521$	1.90002	+	18.0774i	0.0832412	+	0.791987i	0.953905	+	0.300109i	$0.0970230\pi$
$521$	1.90002	+	18.0774i	0.0832412	+	0.791987i	−0.870664	+	0.491879i	$0.836310\pi$
$522$	−1.98103	+	0.208214i	−0.0867072	+	0.00911330i
$523$	−11.1557	−	10.0446i	−0.487804	−	0.439220i	0.388164	−	0.921590i	$-0.373109\pi$
$523$	−11.1557	−	10.0446i	−0.487804	−	0.439220i	−0.875968	+	0.482370i	$0.839776\pi$
$524$	20.1837			0.881731
$525$	−10.9631	−	7.40334i	−0.478471	−	0.323108i
$526$	−5.21302			−0.227298
$527$	39.9077	+	35.9331i	1.73841	+	1.56527i
$528$	−2.22824	+	0.234197i	−0.0969716	+	0.0101921i
$529$	4.94889	+	47.0855i	0.215169	+	2.04720i
$530$	−5.50647	−	2.55727i	−0.239186	−	0.111081i
$531$	5.13250	+	3.72898i	0.222732	+	0.161824i
$532$	11.8590	+	22.5017i	0.514154	+	0.975574i
$533$	0.565972	−	0.778994i	0.0245150	−	0.0337420i
$534$	2.91885	−	0.620421i	0.126311	−	0.0268483i
$535$	18.0412	−	15.7324i	0.779988	−	0.680171i
$536$	33.9177	+	7.20944i	1.46502	+	0.311400i
$537$	0.963595	+	4.53336i	0.0415822	+	0.195629i
$538$	12.4664	+	4.05057i	0.537463	+	0.174632i
$539$	10.7451	−	10.2256i	0.462825	−	0.440448i
$540$	−1.87820	−	2.67346i	−0.0808247	−	0.115047i
$541$	−10.9226	+	2.32167i	−0.469600	+	0.0998165i	−0.436633	−	0.899640i	$-0.643829\pi$
$541$	−10.9226	+	2.32167i	−0.469600	+	0.0998165i	−0.0329672	+	0.999456i	$0.510496\pi$
$542$	−2.15385	−	4.83762i	−0.0925156	−	0.207793i
$543$	2.42034	+	1.39738i	0.103867	+	0.0599674i
$544$	−3.29831	+	31.3813i	−0.141414	+	1.34546i
$545$	−17.9373	−	13.4729i	−0.768350	−	0.577117i
$546$	−3.96001	+	8.04442i	−0.169473	+	0.344270i
$547$	7.92468	+	10.9074i	0.338835	+	0.466366i	0.944101	−	0.329657i	$-0.106933\pi$
$547$	7.92468	+	10.9074i	0.338835	+	0.466366i	−0.605266	+	0.796023i	$0.706933\pi$
$548$	13.8945	+	12.5106i	0.593542	+	0.534428i
$549$	7.00560	−	12.1340i	0.298992	−	0.517869i
$550$	−6.60838	−	4.10078i	−0.281782	−	0.174858i
$551$	−8.92710	−	15.4622i	−0.380307	−	0.658711i
$552$	20.2662	−	6.58489i	0.862587	−	0.280272i
$553$	−0.847201	−	12.7875i	−0.0360266	−	0.543778i
$554$	−8.51414	+	6.18589i	−0.361731	+	0.262813i
$555$	0.0557439	+	0.100196i	0.00236620	+	0.00425308i
$556$	7.66812	−	3.41407i	0.325201	−	0.144789i
$557$	24.6765	+	14.2470i	1.04558	+	0.603663i	0.921408	−	0.388598i	$-0.127040\pi$
$557$	24.6765	+	14.2470i	1.04558	+	0.603663i	0.124168	+	0.992261i	$0.460374\pi$
$558$	−7.27748	−	0.764894i	−0.308080	−	0.0323806i
$559$	−3.35483	+	10.3251i	−0.141894	+	0.436705i
$560$	4.85300	+	3.94677i	0.205077	+	0.166782i
$561$	−3.52745	−	10.8564i	−0.148929	−	0.458356i
$562$	2.59253	+	12.1969i	0.109359	+	0.514496i
$563$	34.4544	−	31.0228i	1.45208	−	1.30746i	0.583298	−	0.812258i	$-0.301762\pi$
$563$	34.4544	−	31.0228i	1.45208	−	1.30746i	0.868780	−	0.495199i	$-0.164905\pi$
$564$	8.86177	+	1.88363i	0.373148	+	0.0793150i
$565$	15.5373	+	1.88316i	0.653660	+	0.0792250i
$566$	4.75901	−	14.6467i	0.200036	−	0.615648i
$567$	2.07891	+	1.63650i	0.0873060	+	0.0687266i
$568$		−	31.7148i		−	1.33072i
$569$	−2.92961	+	27.8734i	−0.122816	+	1.16851i	0.743402	+	0.668845i	$0.233211\pi$
$569$	−2.92961	+	27.8734i	−0.122816	+	1.16851i	−0.866218	+	0.499667i	$0.833456\pi$
$570$	−5.54772	+	9.26566i	−0.232369	+	0.388096i
$571$	0.452752	+	4.30765i	0.0189471	+	0.180269i	0.999903	−	0.0139636i	$-0.00444490\pi$
$571$	0.452752	+	4.30765i	0.0189471	+	0.180269i	−0.980955	+	0.194233i	$0.937778\pi$
$572$	5.81411	−	13.0587i	0.243100	−	0.546011i
$573$	12.0171	−	3.90460i	0.502022	−	0.163117i
$574$	−0.342721	−	0.215903i	−0.0143049	−	0.00901160i
$575$	−39.4514	−	14.2200i	−1.64524	−	0.593014i
$576$	−1.09252	−	1.89230i	−0.0455218	−	0.0788460i
$577$	−7.63231	+	35.9072i	−0.317737	+	1.49484i	0.472113	+	0.881538i	$0.343491\pi$
$577$	−7.63231	+	35.9072i	−0.317737	+	1.49484i	−0.789851	+	0.613299i	$0.789842\pi$
$578$	−8.77454	+	0.922241i	−0.364973	+	0.0383602i
$579$	−0.151691	−	0.0675374i	−0.00630408	−	0.00280676i
$580$	−7.08910	−	5.32471i	−0.294359	−	0.221097i
$581$	−10.0788	−	1.45410i	−0.418141	−	0.0603262i
$582$			9.65342i			0.400147i
$583$	−7.79504	−	0.819291i	−0.322837	−	0.0339316i
$584$	2.74435	+	3.04791i	0.113562	+	0.126123i
$585$	10.2827	−	0.915774i	0.425136	−	0.0378626i
$586$	2.77006	−	3.07646i	0.114430	−	0.127088i
$587$	14.8726	+	4.83241i	0.613859	+	0.199455i	0.599412	−	0.800441i	$-0.295401\pi$
$587$	14.8726	+	4.83241i	0.613859	+	0.199455i	0.0144473	+	0.999896i	$0.495401\pi$
$588$	−9.45510	−	3.90080i	−0.389922	−	0.160866i
$589$	−20.2681	−	62.3788i	−0.835133	−	2.57028i
$590$	−2.00287	−	10.2188i	−0.0824567	−	0.420700i
$591$	4.36746	+	4.85056i	0.179653	+	0.199525i
$592$	−0.0220520	−	0.0495296i	−0.000906332	−	0.00203566i
$593$	−24.2277	+	13.9879i	−0.994914	+	0.574414i	−0.906740	−	0.421691i	$-0.861437\pi$
$593$	−24.2277	+	13.9879i	−0.994914	+	0.574414i	−0.0881746	+	0.996105i	$0.528103\pi$
$594$	1.25840	+	0.914282i	0.0516328	+	0.0375134i
$595$	−14.5281	+	28.3657i	−0.595594	+	1.16288i
$596$	−24.0542	+	17.4764i	−0.985300	+	0.715863i
$597$	7.39747	−	16.6150i	0.302758	−	0.680006i
$598$	−5.90961	+	27.8025i	−0.241662	+	1.13693i
$599$	3.94787	−	6.83791i	0.161306	−	0.279389i	−0.774032	−	0.633147i	$-0.781763\pi$
$599$	3.94787	−	6.83791i	0.161306	−	0.279389i	0.935337	+	0.353758i	$0.115096\pi$
$600$	−1.72873	+	12.5852i	−0.0705753	+	0.513790i
$601$	−0.719958			−0.0293677			−0.0146839	−	0.999892i	$-0.504674\pi$
$601$	−0.719958			−0.0293677			−0.0146839	+	0.999892i	$0.504674\pi$
$602$	4.42724	+	1.12105i	0.180441	+	0.0456905i
$603$	8.02216	+	11.0416i	0.326687	+	0.449647i
$604$	−17.1397	−	7.63108i	−0.697404	−	0.310504i
$605$	14.1883	+	3.25234i	0.576837	+	0.132226i
$606$	6.01422	−	2.67771i	0.244311	−	0.108774i
$607$	−27.9491	+	16.1364i	−1.13442	+	0.654958i	−0.945043	−	0.326947i	$-0.893980\pi$
$607$	−27.9491	+	16.1364i	−1.13442	+	0.654958i	−0.189377	+	0.981904i	$0.560647\pi$
$608$	22.6529	−	31.1790i	0.918695	−	1.26447i
$609$	6.73755	+	2.48021i	0.273019	+	0.100503i
$610$	−21.9825	+	6.75821i	−0.890044	+	0.273632i
$611$	−19.1542	+	21.2729i	−0.774896	+	0.860609i
$612$	−5.84948	+	5.26689i	−0.236451	+	0.212902i
$613$	3.20653	−	2.88717i	0.129511	−	0.116612i	−0.601830	−	0.798624i	$-0.705562\pi$
$613$	3.20653	−	2.88717i	0.129511	−	0.116612i	0.731341	+	0.682012i	$0.238895\pi$
$614$	−6.54946	+	7.27391i	−0.264315	+	0.293551i
$615$	−0.00741212	+	0.466305i	−0.000298886	+	0.0188032i
$616$	−13.3671	−	4.92067i	−0.538576	−	0.198259i
$617$	0.357357	−	0.491860i	0.0143867	−	0.0198015i	−0.801763	−	0.597642i	$-0.796104\pi$
$617$	0.357357	−	0.491860i	0.0143867	−	0.0198015i	0.816150	+	0.577840i	$0.196104\pi$
$618$	−5.86090	+	3.38379i	−0.235760	+	0.136116i
$619$	15.9643	−	7.10778i	0.641661	−	0.285686i	−0.0599986	−	0.998198i	$-0.519110\pi$
$619$	15.9643	−	7.10778i	0.641661	−	0.285686i	0.701659	+	0.712513i	$0.252443\pi$
$620$	−21.4064	−	24.5479i	−0.859703	−	0.985866i
$621$	7.66208	+	3.41138i	0.307468	+	0.136894i
$622$	−3.30566	−	4.54985i	−0.132545	−	0.182432i
$623$	−10.4264	−	2.64013i	−0.417725	−	0.105775i
$624$	−4.88146			−0.195415
$625$	17.8748	−	17.4783i	0.714993	−	0.699131i
$626$	10.5523	−	18.2770i	0.421753	−	0.730497i
$627$	−2.89871	+	13.6373i	−0.115763	+	0.544623i
$628$	−1.51539	+	3.40362i	−0.0604706	+	0.135819i
$629$	0.223472	−	0.162362i	0.00891042	−	0.00647380i
$630$	−0.670350	−	4.29067i	−0.0267074	−	0.170944i
$631$	15.8437	+	11.5111i	0.630728	+	0.458251i	0.856652	−	0.515894i	$-0.172540\pi$
$631$	15.8437	+	11.5111i	0.630728	+	0.458251i	−0.225925	+	0.974145i	$0.572540\pi$
$632$	−10.6578	+	6.15328i	−0.423944	+	0.244764i
$633$	−0.181078	−	0.406707i	−0.00719719	−	0.0161652i
$634$	−8.12608	−	9.02493i	−0.322728	−	0.358426i
$635$	−32.3827	+	18.0161i	−1.28507	+	0.714946i
$636$	1.67014	+	5.14015i	0.0662252	+	0.203820i
$637$	25.6112	−	19.7097i	1.01475	−	0.780926i
$638$	4.01436	+	1.30434i	0.158930	+	0.0516395i
$639$	8.35262	−	9.27652i	0.330424	−	0.366973i
$640$	5.05157	−	22.0375i	0.199681	−	0.871107i
$641$	−22.5052	−	24.9945i	−0.888901	−	0.987225i	0.111077	−	0.993812i	$-0.464570\pi$
$641$	−22.5052	−	24.9945i	−0.888901	−	0.987225i	−0.999978	+	0.00658710i	$0.997903\pi$
$642$	7.81504	+	0.821394i	0.308435	+	0.0324178i
$643$		−	43.5336i		−	1.71680i	−0.512984	−	0.858398i	$-0.671460\pi$
$643$		−	43.5336i		−	1.71680i	0.512984	−	0.858398i	$-0.328540\pi$
$644$	−32.0916	−	4.62993i	−1.26459	−	0.182445i
$645$	−1.54518	−	5.02603i	−0.0608416	−	0.197900i
$646$	23.7681	+	10.5822i	0.935142	+	0.416352i
$647$	24.8443	−	2.61124i	0.976731	−	0.102659i	0.397308	−	0.917685i	$-0.369945\pi$
$647$	24.8443	−	2.61124i	0.976731	−	0.102659i	0.579423	+	0.815027i	$0.303278\pi$
$648$	0.528237	−	2.48516i	0.0207511	−	0.0976263i
$649$	−6.72164	−	11.6422i	−0.263847	−	0.456997i
$650$	−13.3851	−	10.3905i	−0.525006	−	0.407549i
$651$	22.3158	+	14.0582i	0.874624	+	0.550984i
$652$	−4.07484	+	1.32400i	−0.159583	+	0.0518517i
$653$	−4.15607	+	9.33469i	−0.162640	+	0.365295i	−0.976421	−	0.215877i	$-0.930739\pi$
$653$	−4.15607	+	9.33469i	−0.162640	+	0.365295i	0.813781	+	0.581172i	$0.197406\pi$
$654$	−0.769798	−	7.32414i	−0.0301015	−	0.286396i
$655$	−2.74002	−	30.7660i	−0.107062	−	1.20213i
$656$	0.0230509	−	0.219315i	0.000899986	−	0.00856280i
$657$			1.61428i			0.0629791i
$658$	9.46193	+	7.44836i	0.368864	+	0.290367i
$659$	−5.37718	+	16.5493i	−0.209465	+	0.644668i	0.790035	+	0.613062i	$0.210062\pi$
$659$	−5.37718	+	16.5493i	−0.209465	+	0.644668i	−0.999500	+	0.0316062i	$0.989938\pi$
$660$	1.33164	+	6.79411i	0.0518340	+	0.264460i
$661$	−7.41331	−	1.57575i	−0.288344	−	0.0612895i	0.0614688	−	0.998109i	$-0.480422\pi$
$661$	−7.41331	−	1.57575i	−0.288344	−	0.0612895i	−0.349813	+	0.936820i	$0.613755\pi$
$662$	−0.483526	+	0.435369i	−0.0187928	+	0.0169211i
$663$	−5.17082	−	24.3268i	−0.200818	−	0.944774i
$664$	3.02181	+	9.30018i	0.117269	+	0.360917i
$665$	32.6895	−	21.1314i	1.26764	−	0.819440i
$666$	−0.0116314	+	0.0357977i	−0.000450707	+	0.00138713i
$667$	22.6349	+	2.37903i	0.876428	+	0.0921163i
$668$	−20.5292	−	11.8526i	−0.794300	−	0.458589i
$669$	−16.2022	+	7.21367i	−0.626412	+	0.278897i
$670$	2.69543	−	22.2392i	0.104134	−	0.859174i
$671$	−24.0196	+	17.4513i	−0.927268	+	0.673700i
$672$	1.02450	+	15.4636i	0.0395210	+	0.596521i
$673$	12.1532	−	3.94882i	0.468472	−	0.152216i	−0.0652623	−	0.997868i	$-0.520788\pi$
$673$	12.1532	−	3.94882i	0.468472	−	0.152216i	0.533734	+	0.845653i	$0.320788\pi$
$674$	−8.85048	−	15.3295i	−0.340908	−	0.590470i
$675$	−3.82018	+	3.22587i	−0.147039	+	0.124164i
$676$	6.07435	−	10.5211i	0.233629	−	0.404657i
$677$	0.0289782	+	0.0260921i	0.00111372	+	0.00100280i	0.669687	−	0.742643i	$-0.266428\pi$
$677$	0.0289782	+	0.0260921i	0.00111372	+	0.00100280i	−0.668574	+	0.743646i	$0.733095\pi$
$678$	3.01998	+	4.15665i	0.115982	+	0.159635i
$679$	15.3669	−	31.2165i	0.589728	−	1.19798i
$680$	30.6002	+	0.486404i	1.17346	+	0.0186527i
$681$	−0.566846	+	5.39318i	−0.0217216	+	0.206667i
$682$	13.4286	+	7.75301i	0.514208	+	0.296878i
$683$	−3.56958	−	8.01740i	−0.136586	−	0.306777i	0.832283	−	0.554351i	$-0.187033\pi$
$683$	−3.56958	−	8.01740i	−0.136586	−	0.306777i	−0.968869	+	0.247574i	$0.920367\pi$
$684$	9.40363	−	1.99880i	0.359557	−	0.0764262i
$685$	17.1837	−	22.8777i	0.656556	−	0.874112i
$686$	−8.98534	−	10.2021i	−0.343062	−	0.389520i
$687$	−2.41938	−	0.786104i	−0.0923051	−	0.0299918i
$688$	0.516944	+	2.43203i	0.0197083	+	0.0927203i
$689$	−16.7036	−	3.55047i	−0.636358	−	0.135262i
$690$	−5.39882	−	12.6639i	−0.205529	−	0.482106i
$691$	−31.9524	+	6.79168i	−1.21552	+	0.258368i	−0.770670	−	0.637235i	$-0.780078\pi$
$691$	−31.9524	+	6.79168i	−1.21552	+	0.258368i	−0.444855	+	0.895603i	$0.646745\pi$
$692$	−7.72767	+	10.6362i	−0.293762	+	0.404328i
$693$	−2.61392	−	4.95974i	−0.0992944	−	0.188405i
$694$	−19.2501	−	13.9860i	−0.730725	−	0.530903i
$695$	−6.24504	−	11.2250i	−0.236888	−	0.425790i
$696$	−0.720665	−	6.85667i	−0.0273167	−	0.259901i
$697$	1.11737	−	0.117441i	0.0423235	−	0.00444838i
$698$	−2.24965	−	2.02559i	−0.0851505	−	0.0766699i
$699$	−14.8009			−0.559822
$700$	10.8175	−	16.0190i	0.408863	−	0.605460i
$701$	−40.0824			−1.51389			−0.756946	−	0.653477i	$-0.773309\pi$
$701$	−40.0824			−1.51389			−0.756946	+	0.653477i	$0.773309\pi$
$702$	2.51847	+	2.26764i	0.0950537	+	0.0855867i
$703$	−0.335527	+	0.0352653i	−0.0126547	+	0.00133006i
$704$	0.483982	+	4.60478i	0.0182407	+	0.173549i
$705$	1.66819	−	13.7637i	0.0628276	−	0.518371i
$706$	−4.99989	−	3.63263i	−0.188173	−	0.136716i
$707$	−23.7109	−	0.914840i	−0.891740	−	0.0344061i
$708$	−5.44866	+	7.49943i	−0.204773	+	0.281846i
$709$	12.8760	−	2.73688i	0.483569	−	0.102786i	0.0403246	−	0.999187i	$-0.487161\pi$
$709$	12.8760	−	2.73688i	0.483569	−	0.102786i	0.443244	+	0.896401i	$0.353827\pi$
$710$	−20.4084	+	1.81757i	−0.765913	+	0.0682122i
$711$	−4.73795	−	1.00708i	−0.177687	−	0.0377686i
$712$	2.14738	+	10.1026i	0.0804765	+	0.378612i
$713$	79.5173	+	25.8367i	2.97795	+	0.967594i
$714$	−10.0673	+	2.84696i	−0.376761	+	0.106545i
$715$	−20.6946	−	7.08966i	−0.773936	−	0.265138i
$716$	−6.62398	+	1.40797i	−0.247550	+	0.0526184i
$717$	−9.35235	−	21.0057i	−0.349270	−	0.784473i
$718$	4.73366	+	2.73298i	0.176659	+	0.101994i
$719$	−2.62311	+	24.9572i	−0.0978255	+	0.930747i	0.830008	+	0.557752i	$0.188336\pi$
$719$	−2.62311	+	24.9572i	−0.0978255	+	0.930747i	−0.927833	+	0.372995i	$0.878331\pi$
$720$	1.93459	−	1.35911i	0.0720977	−	0.0506511i
$721$	24.3391	−	1.61252i	0.906435	−	0.0600536i
$722$	−10.4801	−	14.4247i	−0.390030	−	0.536830i
$723$	17.1802	+	15.4691i	0.638937	+	0.575301i
$724$	−2.04181	+	3.53651i	−0.0758832	+	0.131433i
$725$	−7.15407	+	11.5288i	−0.265696	+	0.428167i
$726$	2.38926	+	4.13833i	0.0886739	+	0.153588i
$727$	7.53188	−	2.44726i	0.279342	−	0.0907637i	−0.165996	−	0.986127i	$-0.553084\pi$
$727$	7.53188	−	2.44726i	0.279342	−	0.0907637i	0.445337	+	0.895363i	$0.353084\pi$
$728$	−27.8431	−	13.7063i	−1.03193	−	0.507988i
$729$	0.809017	−	0.587785i	0.0299636	−	0.0217698i
$730$	1.80405	−	1.94066i	0.0667707	−	0.0718270i
$731$	−11.5725	+	5.15239i	−0.428023	+	0.190568i
$732$	17.7299	+	10.2363i	0.655314	+	0.378346i
$733$	−23.5447	−	2.47464i	−0.869642	−	0.0914030i	−0.340812	−	0.940131i	$-0.610702\pi$
$733$	−23.5447	−	2.47464i	−0.869642	−	0.0914030i	−0.528829	+	0.848728i	$0.677369\pi$
$734$	−3.22153	+	9.91486i	−0.118909	+	0.365964i
$735$	−4.66242	+	14.9419i	−0.171976	+	0.551142i
$736$	15.1814	+	46.7235i	0.559593	+	1.72225i
$737$	−6.01292	−	28.2885i	−0.221489	−	1.04202i
$738$	−0.113773	+	0.102442i	−0.00418806	+	0.00377094i
$739$	−32.3470	−	6.87556i	−1.18990	−	0.252922i	−0.429921	−	0.902866i	$-0.641459\pi$
$739$	−32.3470	−	6.87556i	−1.18990	−	0.252922i	−0.759981	+	0.649945i	$0.774792\pi$
$740$	−0.146403	+	0.0814511i	−0.00538188	+	0.00299420i
$741$	−9.38665	+	28.8891i	−0.344827	+	1.06127i
$742$	−1.02579	+	7.11006i	−0.0376578	+	0.261019i
$743$			25.4955i			0.935338i	0.883904	+	0.467669i	$0.154906\pi$
$743$			25.4955i			0.935338i	−0.883904	+	0.467669i	$0.845094\pi$
$744$	2.64743	−	25.1886i	0.0970593	−	0.923458i
$745$	29.9048	+	34.2934i	1.09563	+	1.25641i
$746$	−0.253264	−	2.40965i	−0.00927267	−	0.0882236i
$747$	−1.56548	+	3.51613i	−0.0572780	+	0.128649i
$748$	15.8629	−	5.15418i	0.580007	−	0.188456i
$749$	−23.9642	−	15.0966i	−0.875631	−	0.551618i
$750$	8.19764	+	0.391179i	0.299335	+	0.0142838i
$751$	9.35117	+	16.1967i	0.341229	+	0.591026i	0.984661	−	0.174477i	$-0.0558235\pi$
$751$	9.35117	+	16.1967i	0.341229	+	0.591026i	−0.643432	+	0.765503i	$0.722490\pi$
$752$	−1.36304	+	6.41260i	−0.0497050	+	0.233844i
$753$	−6.83249	+	0.718123i	−0.248990	+	0.0261699i
$754$	8.40123	+	3.74047i	0.305955	+	0.136220i
$755$	−9.30526	+	27.1619i	−0.338653	+	0.988524i
$756$	−2.39120	+	3.03763i	−0.0869671	+	0.110478i
$757$		−	31.6022i		−	1.14860i	−0.818645	−	0.574300i	$-0.805274\pi$
$757$		−	31.6022i		−	1.14860i	0.818645	−	0.574300i	$-0.194726\pi$
$758$	−5.15958	−	0.542293i	−0.187404	−	0.0196970i
$759$	−11.8922	−	13.2076i	−0.431658	−	0.479405i
$760$	−32.0700	−	19.2016i	−1.16330	−	0.696515i
$761$	20.0493	−	22.2670i	0.726786	−	0.807177i	−0.260611	−	0.965444i	$-0.583924\pi$
$761$	20.0493	−	22.2670i	0.726786	−	0.807177i	0.987396	+	0.158267i	$0.0505906\pi$
$762$	−11.5696	−	3.75919i	−0.419122	−	0.136181i
$763$	−9.16969	+	24.9097i	−0.331965	+	0.901790i
$764$	5.70526	+	17.5590i	0.206409	+	0.635262i
$765$	8.82241	+	8.20135i	0.318975	+	0.296520i
$766$	7.63892	+	8.48388i	0.276005	+	0.306535i
$767$	−11.9130	−	26.7570i	−0.430153	−	0.966140i
$768$	10.2123	−	5.89608i	0.368505	−	0.212756i
$769$	6.56753	+	4.77159i	0.236831	+	0.172068i	0.699870	−	0.714270i	$-0.253241\pi$
$769$	6.56753	+	4.77159i	0.236831	+	0.172068i	−0.463039	+	0.886338i	$0.653241\pi$
$770$	−2.40037	+	8.88370i	−0.0865033	+	0.320146i
$771$	12.0128	−	8.72778i	0.432629	−	0.314323i
$772$	0.0986833	−	0.221646i	0.00355169	−	0.00797723i
$773$	4.04328	−	19.0221i	0.145427	−	0.684178i	−0.843664	−	0.536871i	$-0.819606\pi$
$773$	4.04328	−	19.0221i	0.145427	−	0.684178i	0.989091	−	0.147307i	$-0.0470605\pi$
$774$	0.863076	−	1.49489i	0.0310226	−	0.0537327i
$775$	−34.5123	+	35.9623i	−1.23972	+	1.29180i
$776$	−33.4121			−1.19942
$777$	0.0945978	−	0.0972446i	0.00339368	−	0.00348863i
$778$	4.15228	+	5.71513i	0.148867	+	0.204897i
$779$	−1.25361	−	0.558142i	−0.0449152	−	0.0199975i
$780$	1.33810	+	15.0247i	0.0479116	+	0.537970i
$781$	−24.1644	+	10.7587i	−0.864669	+	0.384976i
$782$	−28.7223	+	16.5828i	−1.02711	+	0.593000i
$783$	1.59502	−	2.19536i	0.0570015	−	0.0784559i
$784$	2.82272	−	6.84195i	0.100811	−	0.244356i
$785$	5.39385	+	1.84785i	0.192515	+	0.0659526i
$786$	6.78486	−	7.53535i	0.242008	−	0.268777i
$787$	−4.83961	+	4.35761i	−0.172514	+	0.155332i	−0.750865	−	0.660456i	$-0.770363\pi$
$787$	−4.83961	+	4.35761i	−0.172514	+	0.155332i	0.578351	+	0.815788i	$0.303696\pi$
$788$	−7.08747	+	6.38158i	−0.252481	+	0.227334i
$789$	4.75196	−	5.27758i	0.169174	−	0.187887i
$790$	4.57042	+	6.50562i	0.162608	+	0.231460i
$791$	−3.14899	−	18.2488i	−0.111965	−	0.648854i
$792$	−3.16448	+	4.35553i	−0.112445	+	0.154767i
$793$	−56.0199	+	32.3431i	−1.98932	+	1.14854i
$794$	−2.26774	+	1.00966i	−0.0804790	+	0.0358316i
$795$	7.60840	−	3.24358i	0.269842	−	0.115038i
$796$	24.2773	+	10.8089i	0.860484	+	0.383112i
$797$	−28.7853	−	39.6196i	−1.01963	−	1.40340i	−0.912465	−	0.409156i	$-0.865823\pi$
$797$	−28.7853	−	39.6196i	−1.01963	−	1.40340i	−0.107163	−	0.994241i	$-0.534177\pi$
$798$	12.3872	+	3.13664i	0.438502	+	0.111036i
$799$	−33.4011			−1.18165
$800$	−29.0151	−	3.98557i	−1.02584	−	0.140911i
$801$	−2.03259	+	3.52055i	−0.0718181	+	0.124393i
$802$	0.102618	−	0.482779i	0.00362356	−	0.0170475i
$803$	1.39132	−	3.12495i	0.0490985	−	0.110277i
$804$	−16.1335	+	11.7217i	−0.568986	+	0.413393i
$805$	−2.70083	+	49.5457i	−0.0951919	+	1.74626i
$806$	27.3313	+	19.8574i	0.962705	+	0.699446i
$807$	−15.4645	+	8.92845i	−0.544377	+	0.314296i
$808$	9.26798	+	20.8162i	0.326046	+	0.732312i
$809$	−2.33027	−	2.58803i	−0.0819281	−	0.0909903i	0.700787	−	0.713371i	$-0.252832\pi$
$809$	−2.33027	−	2.58803i	−0.0819281	−	0.0909903i	−0.782715	+	0.622380i	$0.786166\pi$
$810$	−1.62947	−	0.197495i	−0.0572537	−	0.00693927i
$811$	−10.7303	−	33.0245i	−0.376792	−	1.15965i	−0.942262	−	0.334877i	$-0.891305\pi$
$811$	−10.7303	−	33.0245i	−0.376792	−	1.15965i	0.565470	−	0.824769i	$-0.308695\pi$
$812$	−3.62400	+	9.84468i	−0.127177	+	0.345480i
$813$	6.86088	+	2.22924i	0.240622	+	0.0781827i
$814$	0.0533696	−	0.0592730i	0.00187060	−	0.00207752i
$815$	2.57134	+	6.03153i	0.0900701	+	0.211275i
$816$	−3.81126	−	4.23283i	−0.133421	−	0.148179i
$817$	15.3871	+	1.61725i	0.538327	+	0.0565805i
$818$		−	14.5231i		−	0.507787i
$819$	−4.53428	−	11.3420i	−0.158441	−	0.396322i
$820$	−0.681349	−	0.0108303i	−0.0237937	−	0.000378212i
$821$	−36.6610	−	16.3225i	−1.27948	−	0.569660i	−0.349383	−	0.936980i	$-0.613609\pi$
$821$	−36.6610	−	16.3225i	−1.27948	−	0.569660i	−0.930095	+	0.367320i	$0.880275\pi$
$822$	9.34138	−	0.981819i	0.325818	−	0.0342449i
$823$	6.46145	−	30.3987i	0.225232	−	1.05963i	−0.709617	−	0.704587i	$-0.751132\pi$
$823$	6.46145	−	30.3987i	0.225232	−	1.05963i	0.934849	−	0.355045i	$-0.115535\pi$
$824$	−11.7119	−	20.2856i	−0.408003	−	0.706681i
$825$	10.1755	−	2.95214i	0.354265	−	0.102780i
$826$	−10.8999	+	5.74456i	−0.379257	+	0.199879i
$827$	−48.2233	+	15.6687i	−1.67689	+	0.544854i	−0.984304	−	0.176482i	$-0.943528\pi$
$827$	−48.2233	+	15.6687i	−1.67689	+	0.544854i	−0.692585	+	0.721337i	$0.743528\pi$
$828$	−4.98459	+	11.1956i	−0.173226	+	0.389073i
$829$	−4.42765	−	42.1262i	−0.153778	−	1.46310i	−0.750614	−	0.660741i	$-0.770242\pi$
$829$	−4.42765	−	42.1262i	−0.153778	−	1.46310i	0.596835	−	0.802364i	$-0.296424\pi$
$830$	5.81147	−	2.47752i	0.201719	−	0.0859961i
$831$	1.49862	−	14.2584i	0.0519864	−	0.494617i
$832$			10.0878i			0.349732i
$833$	37.0870	+	6.81952i	1.28499	+	0.236282i
$834$	1.30307	−	4.01045i	0.0451218	−	0.138871i
$835$	−15.2799	+	32.9017i	−0.528783	+	1.13861i
$836$	−19.9264	−	4.23549i	−0.689170	−	0.146488i
$837$	7.40820	−	6.67037i	0.256065	−	0.230562i
$838$	−4.81358	−	22.6461i	−0.166282	−	0.782296i
$839$	−4.08371	−	12.5684i	−0.140985	−	0.433908i	0.855488	−	0.517823i	$-0.173257\pi$
$839$	−4.08371	−	12.5684i	−0.140985	−	0.433908i	−0.996473	+	0.0839153i	$0.973257\pi$
$840$	14.8507	−	2.32019i	0.512398	−	0.0800542i
$841$	−6.68598	+	20.5773i	−0.230551	+	0.709563i
$842$	−3.34345	−	0.351410i	−0.115223	−	0.0121104i
$843$	−14.7112	−	8.49352i	−0.506681	−	0.292532i
$844$	0.594266	−	0.264584i	0.0204555	−	0.00910737i
$845$	−16.8619	−	7.83084i	−0.580066	−	0.269389i
$846$	3.68215	−	2.67524i	0.126595	−	0.0919767i
$847$	−1.13859	−	17.1856i	−0.0391223	−	0.590504i
$848$	−3.71954	+	1.20855i	−0.127730	+	0.0415019i
$849$	10.4900	+	18.1693i	0.360017	+	0.623567i
$850$	−1.44070	−	19.7190i	−0.0494154	−	0.676357i
$851$	0.215034	−	0.372451i	0.00737129	−	0.0127674i
$852$	13.5545	+	12.2046i	0.464371	+	0.418121i
$853$	10.4025	+	14.3177i	0.356173	+	0.490230i	0.949078	−	0.315043i	$-0.102019\pi$
$853$	10.4025	+	14.3177i	0.356173	+	0.490230i	−0.592904	+	0.805273i	$0.702019\pi$
$854$	15.1338	+	22.6148i	0.517869	+	0.773863i
$855$	−4.32335	−	14.0626i	−0.147856	−	0.480931i
$856$	−2.84298	+	27.0492i	−0.0971711	+	0.924521i
$857$	10.7057	+	6.18096i	0.365701	+	0.211138i	0.671579	−	0.740933i	$-0.265616\pi$
$857$	10.7057	+	6.18096i	0.365701	+	0.211138i	−0.305878	+	0.952071i	$0.598950\pi$
$858$	−2.92086	−	6.56036i	−0.0997166	−	0.223967i
$859$	53.1938	−	11.3067i	1.81495	−	0.385779i	0.829881	−	0.557941i	$-0.188408\pi$
$859$	53.1938	−	11.3067i	1.81495	−	0.385779i	0.985069	+	0.172161i	$0.0550750\pi$
$860$	7.34386	−	2.25777i	0.250424	−	0.0769893i
$861$	0.530986	−	0.150158i	0.0180959	−	0.00511738i
$862$	1.76395	+	0.573141i	0.0600802	+	0.0195212i
$863$	3.71009	+	17.4546i	0.126293	+	0.594161i	0.995088	+	0.0989903i	$0.0315613\pi$
$863$	3.71009	+	17.4546i	0.126293	+	0.594161i	−0.868796	+	0.495171i	$0.835105\pi$
$864$	5.72950	+	1.21784i	0.194922	+	0.0414319i
$865$	17.2618	+	10.3354i	0.586920	+	0.351413i
$866$	−7.94196	+	1.68812i	−0.269879	+	0.0573645i
$867$	7.06482	−	9.72389i	0.239934	−	0.330241i
$868$	−20.5414	+	32.6071i	−0.697219	+	1.10676i
$869$	8.30382	+	6.03308i	0.281688	+	0.204658i
$870$	−4.37095	+	0.856701i	−0.148189	+	0.0290449i
$871$	−6.58633	−	62.6647i	−0.223169	−	2.12331i
$872$	25.3500	−	2.66440i	0.858461	−	0.0902279i
$873$	−9.77298	−	8.79963i	−0.330765	−	0.297823i
$874$	40.5075			1.37019
$875$	−25.8862	−	14.3145i	−0.875114	−	0.483917i
$876$	−2.35873			−0.0796941
$877$	−0.834238	−	0.751151i	−0.0281702	−	0.0253646i	0.654925	−	0.755694i	$-0.272700\pi$
$877$	−0.834238	−	0.751151i	−0.0281702	−	0.0253646i	−0.683096	+	0.730329i	$0.739367\pi$
$878$	27.2284	−	2.86182i	0.918915	−	0.0965818i
$879$	0.589502	+	5.60874i	0.0198834	+	0.189178i
$880$	−4.91639	+	0.963607i	−0.165732	+	0.0324832i
$881$	37.8309	+	27.4858i	1.27456	+	0.926019i	0.999374	−	0.0353738i	$-0.0112622\pi$
$881$	37.8309	+	27.4858i	1.27456	+	0.926019i	0.275181	+	0.961392i	$0.411262\pi$
$882$	−4.63469	+	2.21867i	−0.156058	+	0.0747066i
$883$	19.1013	−	26.2907i	0.642810	−	0.884752i	−0.355952	−	0.934504i	$-0.615843\pi$
$883$	19.1013	−	26.2907i	0.642810	−	0.884752i	0.998762	+	0.0497525i	$0.0158432\pi$
$884$	35.5455	−	7.55542i	1.19552	−	0.254116i
$885$	12.1711	+	7.28730i	0.409125	+	0.244960i
$886$	2.23995	+	0.476117i	0.0752527	+	0.0159955i
$887$	5.18129	+	24.3761i	0.173971	+	0.818468i	0.975411	+	0.220393i	$0.0707341\pi$
$887$	5.18129	+	24.3761i	0.173971	+	0.818468i	−0.801440	+	0.598075i	$0.795933\pi$
$888$	−0.123902	−	0.0402582i	−0.00415788	−	0.00135098i
$889$	31.4288	+	30.5734i	1.05409	+	1.02540i
$890$	6.37796	−	1.96082i	0.213790	−	0.0657267i
$891$	−2.07271	+	0.440568i	−0.0694383	+	0.0147596i
$892$	−10.5404	−	23.6741i	−0.352918	−	0.792666i
$893$	35.3296	+	20.3976i	1.18226	+	0.682579i
$894$	−1.56134	+	14.8551i	−0.0522189	+	0.496830i
$895$	3.04540	+	9.90579i	0.101797	+	0.331114i
$896$	−26.6928	+	1.76847i	−0.891745	+	0.0590803i
$897$	−22.7600	−	31.3264i	−0.759933	−	1.04596i
$898$	−4.72681	−	4.25604i	−0.157736	−	0.142026i
$899$	13.5256	−	23.4271i	0.451105	−	0.781337i
$900$	−4.71353	−	5.58192i	−0.157118	−	0.186064i
$901$	−9.96286	−	17.2562i	−0.331911	−	0.574887i
$902$	0.308537	−	0.100250i	0.0102732	−	0.00333795i
$903$	−5.17061	+	3.46017i	−0.172067	+	0.115147i
$904$	−14.3868	+	10.4527i	−0.478499	+	0.347650i
$905$	5.66789	+	2.63223i	0.188407	+	0.0874982i
$906$	−8.61055	+	3.83367i	−0.286066	+	0.127365i
$907$	13.8975	+	8.02371i	0.461458	+	0.266423i	0.712657	−	0.701512i	$-0.247492\pi$
$907$	13.8975	+	8.02371i	0.461458	+	0.266423i	−0.251199	+	0.967935i	$0.580825\pi$
$908$	−7.88033	−	0.828256i	−0.261518	−	0.0274866i
$909$	−2.77143	+	8.52959i	−0.0919226	+	0.282909i
$910$	−7.22426	+	18.7025i	−0.239482	+	0.619981i
$911$	−0.878508	−	2.70377i	−0.0291063	−	0.0895799i	0.935448	−	0.353464i	$-0.114996\pi$
$911$	−0.878508	−	2.70377i	−0.0291063	−	0.0895799i	−0.964554	+	0.263884i	$0.914996\pi$
$912$	1.44639	+	6.80471i	0.0478946	+	0.225326i
$913$	6.06097	−	5.45732i	0.200589	−	0.180611i
$914$	−16.4704	−	3.50089i	−0.544792	−	0.115799i
$915$	13.1963	−	28.4152i	0.436257	−	0.939378i
$916$	1.14863	−	3.53512i	0.0379518	−	0.116804i
$917$	−33.9356	+	13.5667i	−1.12065	+	0.448012i
$918$			3.95432i			0.130512i
$919$	3.71546	−	35.3502i	0.122562	−	1.16610i	−0.744404	−	0.667729i	$-0.767266\pi$
$919$	3.71546	−	35.3502i	0.122562	−	1.16610i	0.866966	−	0.498367i	$-0.166067\pi$
$920$	43.8318	−	18.6862i	1.44509	−	0.616066i
$921$	−1.39380	−	13.2612i	−0.0459274	−	0.436970i
$922$	−0.0859339	+	0.193011i	−0.00283008	+	0.00635647i
$923$	−54.8093	+	17.8086i	−1.80407	+	0.586178i
$924$	7.24700	−	3.81936i	0.238409	−	0.125648i
$925$	0.144031	+	0.212104i	0.00473569	+	0.00697395i
$926$	14.7829	+	25.6048i	0.485797	+	0.841425i
$927$	1.91684	−	9.01801i	0.0629572	−	0.296190i
$928$	15.8079	−	1.66148i	0.518921	−	0.0545408i
$929$	11.7247	+	5.22019i	0.384676	+	0.171269i	0.589958	−	0.807434i	$-0.299144\pi$
$929$	11.7247	+	5.22019i	0.384676	+	0.171269i	−0.205282	+	0.978703i	$0.565811\pi$
$930$	−16.3605	−	0.260058i	−0.536482	−	0.00852762i
$931$	−35.0637	−	29.8618i	−1.14917	−	0.978679i
$932$		−	21.6266i		−	0.708403i
$933$	7.61950	+	0.800842i	0.249451	+	0.0262184i
$934$	−20.0942	−	22.3169i	−0.657503	−	0.730231i
$935$	−10.0100	−	23.4802i	−0.327361	−	0.767883i
$936$	−7.84869	+	8.71686i	−0.256543	+	0.284919i
$937$	53.6861	+	17.4437i	1.75385	+	0.569860i	0.996534	−	0.0831882i	$-0.0265102\pi$
$937$	53.6861	+	17.4437i	1.75385	+	0.569860i	0.757316	+	0.653049i	$0.226510\pi$
$938$	−26.1203	+	4.50727i	−0.852857	+	0.147168i
$939$	8.88444	+	27.3435i	0.289933	+	0.892321i
$940$	20.1110	+	2.43750i	0.655950	+	0.0795025i
$941$	−25.8980	−	28.7626i	−0.844250	−	0.937635i	0.154481	−	0.987996i	$-0.450629\pi$
$941$	−25.8980	−	28.7626i	−0.844250	−	0.937635i	−0.998731	+	0.0503612i	$0.983963\pi$
$942$	0.761294	+	1.70989i	0.0248043	+	0.0557114i
$943$	1.51491	−	0.874633i	0.0493322	−	0.0284820i
$944$	−5.42678	−	3.94279i	−0.176627	−	0.128327i
$945$	4.95487	+	3.23253i	0.161182	+	0.105154i
$946$	−2.95917	+	2.14996i	−0.0962110	+	0.0699014i
$947$	17.2855	−	38.8238i	0.561703	−	1.26161i	−0.379946	−	0.925009i	$-0.624057\pi$
$947$	17.2855	−	38.8238i	0.561703	−	1.26161i	0.941649	−	0.336597i	$-0.109276\pi$
$948$	1.47152	−	6.92293i	0.0477926	−	0.224846i
$949$	3.72636	−	6.45425i	0.120963	−	0.209514i
$950$	−10.5183	+	21.7374i	−0.341257	+	0.705254i
$951$	16.5441			0.536479
$952$	−9.85379	−	34.8447i	−0.319363	−	1.12932i
$953$	−29.0554	−	39.9913i	−0.941196	−	1.29544i	−0.955329	−	0.295545i	$-0.904499\pi$
$953$	−29.0554	−	39.9913i	−0.941196	−	1.29544i	0.0141334	−	0.999900i	$-0.495501\pi$
$954$	2.48044	+	1.10436i	0.0803071	+	0.0357550i
$955$	25.9906	−	11.0802i	0.841037	−	0.358548i
$956$	30.6929	−	13.6653i	0.992678	−	0.441969i
$957$	−4.97981	+	2.87510i	−0.160974	+	0.0929387i
$958$	10.4332	−	14.3601i	0.337082	−	0.463954i
$959$	−31.7704	−	11.6952i	−1.02592	−	0.377659i
$960$	−2.80868	−	3.99793i	−0.0906497	−	0.129033i
$961$	45.7520	−	50.8127i	1.47587	−	1.63912i
$962$	0.129140	−	0.116278i	0.00416363	−	0.00374895i
$963$	−7.95541	+	7.16309i	−0.256360	+	0.230827i
$964$	−22.6029	+	25.1031i	−0.727990	+	0.808515i
$965$	−0.351252	−	0.120333i	−0.0113072	−	0.00387367i
$966$	−12.5163	+	10.4246i	−0.402704	+	0.335407i
$967$	4.15034	−	5.71245i	0.133466	−	0.183700i	−0.737053	−	0.675835i	$-0.763783\pi$
$967$	4.15034	−	5.71245i	0.133466	−	0.183700i	0.870519	+	0.492135i	$0.163783\pi$
$968$	−14.3234	+	8.26964i	−0.460372	+	0.265796i
$969$	−32.3792	+	14.4161i	−1.04017	+	0.463113i
$970$	1.91484	+	21.5006i	0.0614820	+	0.690343i
$971$	10.3065	+	4.58876i	0.330752	+	0.147260i	0.565393	−	0.824822i	$-0.308725\pi$
$971$	10.3065	+	4.58876i	0.330752	+	0.147260i	−0.234640	+	0.972082i	$0.575391\pi$
$972$	0.858852	+	1.18211i	0.0275477	+	0.0379161i
$973$	−10.5979	+	10.8944i	−0.339752	+	0.349258i
$974$	−6.74279			−0.216053
$975$	22.7204	−	4.07932i	0.727637	−	0.130643i
$976$	−7.40727	+	12.8298i	−0.237101	+	0.410671i
$977$	2.73707	−	12.8769i	0.0875667	−	0.411969i	−0.912430	−	0.409234i	$-0.865796\pi$
$977$	2.73707	−	12.8769i	0.0875667	−	0.411969i	0.999996	−	0.00273516i	$-0.000870629\pi$
$978$	−0.875478	+	1.96636i	−0.0279947	+	0.0628772i
$979$	6.96902	−	5.06329i	0.222731	−	0.161823i
$980$	−21.8327	−	6.81257i	−0.697419	−	0.217619i
$981$	8.11656	+	5.89703i	0.259142	+	0.188278i
$982$	−2.83882	+	1.63899i	−0.0905902	+	0.0523023i
$983$	7.66619	+	17.2185i	0.244513	+	0.549186i	0.993557	−	0.113335i	$-0.0361533\pi$
$983$	7.66619	+	17.2185i	0.244513	+	0.549186i	−0.749043	+	0.662521i	$0.769487\pi$
$984$	−0.354569	−	0.393789i	−0.0113032	−	0.0125535i
$985$	10.6896	+	9.93709i	0.340599	+	0.316622i
$986$	3.31591	+	10.2053i	0.105600	+	0.325004i
$987$	−16.1657	+	2.78952i	−0.514559	+	0.0887915i
$988$	−42.2118	−	13.7154i	−1.34294	−	0.436347i
$989$	−13.1971	+	14.6569i	−0.419643	+	0.466061i
$990$	2.98413	+	1.78672i	0.0948420	+	0.0567857i
$991$	1.24259	+	1.38003i	0.0394721	+	0.0438382i	0.762558	−	0.646920i	$-0.223943\pi$
$991$	1.24259	+	1.38003i	0.0394721	+	0.0438382i	−0.723085	+	0.690759i	$0.757277\pi$
$992$	58.0719	+	6.10360i	1.84378	+	0.193790i
$993$		−	0.886377i		−	0.0281283i
$994$	8.99936	+	22.5109i	0.285442	+	0.714002i
$995$	13.1803	−	38.4731i	0.417844	−	1.21968i
$996$	−5.13765	−	2.28743i	−0.162793	−	0.0724800i
$997$	−19.9432	+	2.09612i	−0.631608	+	0.0663846i	−0.414922	−	0.909857i	$-0.636191\pi$
$997$	−19.9432	+	2.09612i	−0.631608	+	0.0663846i	−0.216685	+	0.976242i	$0.569525\pi$
$998$	−1.53909	+	7.24085i	−0.0487190	+	0.229205i
$999$	−0.0256385	−	0.0444071i	−0.000811165	−	0.00140498i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bo.a.319.24	yes	320
7.2	even	3	inner	525.2.bo.a.394.24	yes	320
25.4	even	10	inner	525.2.bo.a.4.24	✓	320
175.79	even	30	inner	525.2.bo.a.79.24	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bo.a.4.24	✓	320	25.4	even	10	inner
525.2.bo.a.79.24	yes	320	175.79	even	30	inner
525.2.bo.a.319.24	yes	320	1.1	even	1	trivial
525.2.bo.a.394.24	yes	320	7.2	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.545508 + 0.491178i) q^{2} +(-0.994522 + 0.104528i) q^{3} +(-0.152733 - 1.45316i) q^{4} +(-2.19432 + 0.430084i) q^{5} +(-0.593862 - 0.431466i) q^{6} +(1.23355 + 2.34059i) q^{7} +(1.49337 - 2.05545i) q^{8} +(0.978148 - 0.207912i) q^{9} +O(q^{10})\)	\(q+(0.545508 + 0.491178i) q^{2} +(-0.994522 + 0.104528i) q^{3} +(-0.152733 - 1.45316i) q^{4} +(-2.19432 + 0.430084i) q^{5} +(-0.593862 - 0.431466i) q^{6} +(1.23355 + 2.34059i) q^{7} +(1.49337 - 2.05545i) q^{8} +(0.978148 - 0.207912i) q^{9} +(-1.40826 - 0.843185i) q^{10} +(-2.07271 - 0.440568i) q^{11} +(0.303793 + 1.42924i) q^{12} +(-4.39079 - 1.42665i) q^{13} +(-0.476731 + 1.88270i) q^{14} +(2.13734 - 0.657096i) q^{15} +(-1.03423 + 0.219833i) q^{16} +(-2.19108 - 4.92124i) q^{17} +(0.635709 + 0.367027i) q^{18} +(-0.687743 + 6.54344i) q^{19} +(0.960127 + 3.12301i) q^{20} +(-1.47145 - 2.19882i) q^{21} +(-0.914282 - 1.25840i) q^{22} +(-6.23289 - 5.61212i) q^{23} +(-1.27034 + 2.20029i) q^{24} +(4.63006 - 1.88748i) q^{25} +(-1.69447 - 2.93491i) q^{26} +(-0.951057 + 0.309017i) q^{27} +(3.21285 - 2.15004i) q^{28} +(-2.19536 + 1.59502i) q^{29} +(1.48869 + 0.691362i) q^{30} +(-9.10687 + 4.05464i) q^{31} +(-5.07275 - 2.92875i) q^{32} +(2.10741 + 0.221497i) q^{33} +(1.22195 - 3.76078i) q^{34} +(-3.71345 - 4.60546i) q^{35} +(-0.451525 - 1.38965i) q^{36} +(0.0106611 + 0.0501564i) q^{37} +(-3.58916 + 3.23169i) q^{38} +(4.51586 + 0.959876i) q^{39} +(-2.39292 + 5.15259i) q^{40} +(-0.0644499 + 0.198356i) q^{41} +(0.277323 - 1.92222i) q^{42} -2.35153i q^{43} +(-0.323644 + 3.07927i) q^{44} +(-2.05695 + 0.876910i) q^{45} +(-0.643544 - 6.12291i) q^{46} +(2.52191 - 5.66431i) q^{47} +(1.00559 - 0.326735i) q^{48} +(-3.95669 + 5.77448i) q^{49} +(3.45282 + 1.24454i) q^{50} +(2.69348 + 4.66525i) q^{51} +(-1.40254 + 6.59842i) q^{52} +(3.67862 - 0.386638i) q^{53} +(-0.670591 - 0.298566i) q^{54} +(4.73766 + 0.0753072i) q^{55} +(6.65312 + 0.959862i) q^{56} -6.57948i q^{57} +(-1.98103 - 0.208214i) q^{58} +(4.24504 + 4.71460i) q^{59} +(-1.28131 - 3.00554i) q^{60} +(9.37532 - 10.4123i) q^{61} +(-6.95942 - 2.26125i) q^{62} +(1.69323 + 2.03297i) q^{63} +(-0.675216 - 2.07810i) q^{64} +(10.2484 + 1.24212i) q^{65} +(1.04081 + 1.15594i) q^{66} +(5.55119 + 12.4682i) q^{67} +(-6.81670 + 3.93562i) q^{68} +(6.78538 + 4.92986i) q^{69} +(0.236379 - 4.33628i) q^{70} +(10.0988 - 7.33720i) q^{71} +(1.03339 - 2.32103i) q^{72} +(-0.335628 + 1.57900i) q^{73} +(-0.0188200 + 0.0325972i) q^{74} +(-4.40740 + 2.36111i) q^{75} +9.61372 q^{76} +(-1.52561 - 5.39482i) q^{77} +(1.99197 + 2.74171i) q^{78} +(-4.42503 - 1.97015i) q^{79} +(2.17489 - 0.927189i) q^{80} +(0.913545 - 0.406737i) q^{81} +(-0.132586 + 0.0765486i) q^{82} +(-2.26232 + 3.11381i) q^{83} +(-2.97051 + 2.47409i) q^{84} +(6.92446 + 9.85641i) q^{85} +(1.15502 - 1.28278i) q^{86} +(2.01661 - 1.81576i) q^{87} +(-4.00090 + 3.60242i) q^{88} +(-2.72014 + 3.02102i) q^{89} +(-1.55280 - 0.531965i) q^{90} +(-2.07706 - 12.0369i) q^{91} +(-7.20335 + 9.91456i) q^{92} +(8.63316 - 4.98436i) q^{93} +(4.15790 - 1.85122i) q^{94} +(-1.30510 - 14.6542i) q^{95} +(5.35109 + 2.38246i) q^{96} +(-7.72987 - 10.6393i) q^{97} +(-4.99470 + 1.20658i) q^{98} -2.11901 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9}+O(q^{10}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9	\( 320 q - 40 q^{4} - 2 q^{5} + 8 q^{6} + 60 q^{8} - 40 q^{9} + 4 q^{10} - 6 q^{11} + 12 q^{14} + 4 q^{15} + 40 q^{16} - 20 q^{17} + 16 q^{19} + 8 q^{20} + 40 q^{22} - 60 q^{23} - 48 q^{24} + 4 q^{25} - 30 q^{28} + 24 q^{29} - 48 q^{30} - 30 q^{31} - 80 q^{36} + 30 q^{38} - 32 q^{40} + 36 q^{41} + 10 q^{42} - 16 q^{44} + 2 q^{45} + 32 q^{46} + 16 q^{49} - 140 q^{50} + 190 q^{52} - 60 q^{53} + 4 q^{54} - 8 q^{55} + 60 q^{58} + 24 q^{59} - 46 q^{60} - 20 q^{61} + 120 q^{62} + 10 q^{63} - 4 q^{64} - 30 q^{65} - 16 q^{66} - 60 q^{67} - 32 q^{69} - 76 q^{70} + 32 q^{71} - 30 q^{72} - 40 q^{73} - 12 q^{74} - 8 q^{75} - 344 q^{76} + 4 q^{79} - 52 q^{80} + 40 q^{81} - 80 q^{83} + 48 q^{84} - 76 q^{85} + 24 q^{86} - 200 q^{88} - 52 q^{90} + 26 q^{91} + 180 q^{92} + 16 q^{94} - 38 q^{95} - 58 q^{96} - 140 q^{97} + 360 q^{98} + 8 q^{99}+O(q^{100}) \) 320 * q - 40 * q^4 - 2 * q^5 + 8 * q^6 + 60 * q^8 - 40 * q^9 + 4 * q^10 - 6 * q^11 + 12 * q^14 + 4 * q^15 + 40 * q^16 - 20 * q^17 + 16 * q^19 + 8 * q^20 + 40 * q^22 - 60 * q^23 - 48 * q^24 + 4 * q^25 - 30 * q^28 + 24 * q^29 - 48 * q^30 - 30 * q^31 - 80 * q^36 + 30 * q^38 - 32 * q^40 + 36 * q^41 + 10 * q^42 - 16 * q^44 + 2 * q^45 + 32 * q^46 + 16 * q^49 - 140 * q^50 + 190 * q^52 - 60 * q^53 + 4 * q^54 - 8 * q^55 + 60 * q^58 + 24 * q^59 - 46 * q^60 - 20 * q^61 + 120 * q^62 + 10 * q^63 - 4 * q^64 - 30 * q^65 - 16 * q^66 - 60 * q^67 - 32 * q^69 - 76 * q^70 + 32 * q^71 - 30 * q^72 - 40 * q^73 - 12 * q^74 - 8 * q^75 - 344 * q^76 + 4 * q^79 - 52 * q^80 + 40 * q^81 - 80 * q^83 + 48 * q^84 - 76 * q^85 + 24 * q^86 - 200 * q^88 - 52 * q^90 + 26 * q^91 + 180 * q^92 + 16 * q^94 - 38 * q^95 - 58 * q^96 - 140 * q^97 + 360 * q^98 + 8 * q^99

Introduction

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