LMFDB - Embedded newform 232.2.v.a.11.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(3,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([14, 14, 5]))

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

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

chi := DirichletCharacter("232.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.v (of order $28$, degree $12$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	232.11
Dual form			232.2.v.a.211.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.698011 - 1.22995i) q^{2} +(0.209291 + 1.85751i) q^{3} +(-1.02556 + 1.71704i) q^{4} +(-2.36223 - 1.13759i) q^{5} +(2.13855 - 1.55398i) q^{6} +(-2.31875 - 1.84914i) q^{7} +(2.82773 + 0.0628771i) q^{8} +(-0.481741 + 0.109954i) q^{9} +O(q^{10})$	\(q+(-0.698011 - 1.22995i) q^{2} +(0.209291 + 1.85751i) q^{3} +(-1.02556 + 1.71704i) q^{4} +(-2.36223 - 1.13759i) q^{5} +(2.13855 - 1.55398i) q^{6} +(-2.31875 - 1.84914i) q^{7} +(2.82773 + 0.0628771i) q^{8} +(-0.481741 + 0.109954i) q^{9} +(0.249682 + 3.69947i) q^{10} +(-3.02984 - 4.82196i) q^{11} +(-3.40405 - 1.54562i) q^{12} +(-0.208139 + 0.911918i) q^{13} +(-0.655842 + 4.14268i) q^{14} +(1.61868 - 4.62593i) q^{15} +(-1.89645 - 3.52186i) q^{16} +(1.87453 - 1.87453i) q^{17} +(0.471499 + 0.515769i) q^{18} +(-6.66614 - 0.751093i) q^{19} +(4.37589 - 2.88937i) q^{20} +(2.94950 - 4.69411i) q^{21} +(-3.81592 + 7.09234i) q^{22} +(-1.78357 - 3.70363i) q^{23} +(0.475022 + 5.26568i) q^{24} +(1.16855 + 1.46532i) q^{25} +(1.26690 - 0.380528i) q^{26} +(1.54707 + 4.42126i) q^{27} +(5.55308 - 2.08498i) q^{28} +(-0.116624 + 5.38390i) q^{29} +(-6.81953 + 1.23805i) q^{30} +(2.77667 + 7.93528i) q^{31} +(-3.00797 + 4.79084i) q^{32} +(8.32270 - 6.63714i) q^{33} +(-3.61403 - 0.997140i) q^{34} +(3.37386 + 7.00588i) q^{35} +(0.305259 - 0.939933i) q^{36} +(-3.67558 - 2.30952i) q^{37} +(3.72923 + 8.72329i) q^{38} +(-1.73745 - 0.195764i) q^{39} +(-6.60820 - 3.36532i) q^{40} +(0.507268 + 0.507268i) q^{41} +(-7.83231 - 0.351206i) q^{42} +(-0.761486 + 2.17620i) q^{43} +(11.3868 - 0.257139i) q^{44} +(1.26306 + 0.288286i) q^{45} +(-3.31033 + 4.77888i) q^{46} +(-5.28080 - 8.40434i) q^{47} +(6.14496 - 4.25976i) q^{48} +(0.399638 + 1.75093i) q^{49} +(0.986609 - 2.46008i) q^{50} +(3.87428 + 3.08964i) q^{51} +(-1.35234 - 1.29261i) q^{52} +(2.91924 - 6.06187i) q^{53} +(4.35807 - 4.98891i) q^{54} +(1.67176 + 14.8373i) q^{55} +(-6.44054 - 5.37467i) q^{56} -12.5396i q^{57} +(6.70334 - 3.61458i) q^{58} +11.7585 q^{59} +(6.28285 + 7.52352i) q^{60} +(5.72525 - 0.645081i) q^{61} +(7.82186 - 8.95409i) q^{62} +(1.32036 + 0.635852i) q^{63} +(7.99209 + 0.355599i) q^{64} +(1.52906 - 1.91738i) q^{65} +(-13.9727 - 5.60373i) q^{66} +(-14.0788 + 3.21338i) q^{67} +(1.29620 + 5.14110i) q^{68} +(6.50622 - 4.08813i) q^{69} +(6.26191 - 9.03986i) q^{70} +(0.537830 - 2.35639i) q^{71} +(-1.36915 + 0.280630i) q^{72} +(0.802203 + 0.280703i) q^{73} +(-0.275001 + 6.13286i) q^{74} +(-2.47727 + 2.47727i) q^{75} +(8.12618 - 10.6757i) q^{76} +(-1.89105 + 16.7836i) q^{77} +(0.971983 + 2.27363i) q^{78} +(1.07128 - 1.70493i) q^{79} +(0.473421 + 10.4768i) q^{80} +(-9.22432 + 4.44220i) q^{81} +(0.269836 - 0.977994i) q^{82} +(-6.27399 - 7.86734i) q^{83} +(5.03507 + 9.87851i) q^{84} +(-6.56052 + 2.29563i) q^{85} +(3.20815 - 0.582422i) q^{86} +(-10.0250 + 0.910171i) q^{87} +(-8.26437 - 13.8257i) q^{88} +(4.71953 - 1.65144i) q^{89} +(-0.527055 - 1.75473i) q^{90} +(2.16889 - 1.72963i) q^{91} +(8.18843 + 0.735829i) q^{92} +(-14.1587 + 6.81847i) q^{93} +(-6.65088 + 12.3615i) q^{94} +(14.8925 + 9.35757i) q^{95} +(-9.52855 - 4.58464i) q^{96} +(1.22559 - 10.8774i) q^{97} +(1.87460 - 1.71370i) q^{98} +(1.98979 + 1.98979i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{25}{28}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	−0.698011	−	1.22995i	−0.493568	−	0.869707i
$2$	−0.698011	−	1.22995i	−0.493568	−	0.869707i
$3$	0.209291	+	1.85751i	0.120834	+	1.07243i	0.897039	+	0.441951i	$0.145714\pi$
$3$	0.209291	+	1.85751i	0.120834	+	1.07243i	−0.776205	+	0.630480i	$0.782858\pi$
$4$	−1.02556	+	1.71704i	−0.512780	+	0.858520i
$5$	−2.36223	−	1.13759i	−1.05642	−	0.508745i	−0.176713	−	0.984262i	$-0.556546\pi$
$5$	−2.36223	−	1.13759i	−1.05642	−	0.508745i	−0.879706	+	0.475518i	$0.842261\pi$
$6$	2.13855	−	1.55398i	0.873061	−	0.634408i
$7$	−2.31875	−	1.84914i	−0.876407	−	0.698911i	0.0781497	−	0.996942i	$-0.475099\pi$
$7$	−2.31875	−	1.84914i	−0.876407	−	0.698911i	−0.954556	+	0.298031i	$0.903670\pi$
$8$	2.82773	+	0.0628771i	0.999753	+	0.0222304i
$9$	−0.481741	+	0.109954i	−0.160580	+	0.0366514i
$10$	0.249682	+	3.69947i	0.0789564	+	1.16988i
$11$	−3.02984	−	4.82196i	−0.913531	−	1.45388i	−0.890935	−	0.454132i	$-0.849950\pi$
$11$	−3.02984	−	4.82196i	−0.913531	−	1.45388i	−0.0225963	−	0.999745i	$-0.507193\pi$
$12$	−3.40405	−	1.54562i	−0.982665	−	0.446183i
$13$	−0.208139	+	0.911918i	−0.0577275	+	0.252921i	−0.995555	−	0.0941807i	$-0.969977\pi$
$13$	−0.208139	+	0.911918i	−0.0577275	+	0.252921i	0.937828	+	0.347101i	$0.112834\pi$
$14$	−0.655842	+	4.14268i	−0.175281	+	1.10718i
$15$	1.61868	−	4.62593i	0.417942	−	1.19441i
$16$	−1.89645	−	3.52186i	−0.474113	−	0.880464i
$17$	1.87453	−	1.87453i	0.454641	−	0.454641i	−0.442250	−	0.896892i	$-0.645820\pi$
$17$	1.87453	−	1.87453i	0.454641	−	0.454641i	0.896892	+	0.442250i	$0.145820\pi$
$18$	0.471499	+	0.515769i	0.111133	+	0.121568i
$19$	−6.66614	−	0.751093i	−1.52932	−	0.172313i	−0.693152	−	0.720791i	$-0.743779\pi$
$19$	−6.66614	−	0.751093i	−1.52932	−	0.172313i	−0.836164	+	0.548479i	$0.815207\pi$
$20$	4.37589	−	2.88937i	0.978479	−	0.646083i
$21$	2.94950	−	4.69411i	0.643634	−	1.02434i
$22$	−3.81592	+	7.09234i	−0.813556	+	1.51209i
$23$	−1.78357	−	3.70363i	−0.371901	−	0.772259i	0.628082	−	0.778147i	$-0.283840\pi$
$23$	−1.78357	−	3.70363i	−0.371901	−	0.772259i	−0.999983	+	0.00588763i	$0.998126\pi$
$24$	0.475022	+	5.26568i	0.0969635	+	1.07485i
$25$	1.16855	+	1.46532i	0.233711	+	0.293064i
$26$	1.26690	−	0.380528i	0.248459	−	0.0746276i
$27$	1.54707	+	4.42126i	0.297733	+	0.850873i
$28$	5.55308	−	2.08498i	1.04943	−	0.394025i
$29$	−0.116624	+	5.38390i	−0.0216565	+	0.999765i
$29$	−0.116624	+	5.38390i	−0.0216565	+	0.999765i
$30$	−6.81953	+	1.23805i	−1.24507	+	0.226036i
$31$	2.77667	+	7.93528i	0.498705	+	1.42522i	0.868307	+	0.496027i	$0.165208\pi$
$31$	2.77667	+	7.93528i	0.498705	+	1.42522i	−0.369602	+	0.929190i	$0.620506\pi$
$32$	−3.00797	+	4.79084i	−0.531739	+	0.846908i
$33$	8.32270	−	6.63714i	1.44880	−	1.15538i
$34$	−3.61403	−	0.997140i	−0.619802	−	0.171008i
$35$	3.37386	+	7.00588i	0.570286	+	1.18421i
$36$	0.305259	−	0.939933i	0.0508765	−	0.156656i
$37$	−3.67558	−	2.30952i	−0.604262	−	0.379683i	0.194879	−	0.980827i	$-0.437569\pi$
$37$	−3.67558	−	2.30952i	−0.604262	−	0.379683i	−0.799140	+	0.601145i	$0.794712\pi$
$38$	3.72923	+	8.72329i	0.604961	+	1.41511i
$39$	−1.73745	−	0.195764i	−0.278215	−	0.0313474i
$40$	−6.60820	−	3.36532i	−1.04485	−	0.532104i
$41$	0.507268	+	0.507268i	0.0792220	+	0.0792220i	0.745607	−	0.666385i	$-0.232159\pi$
$41$	0.507268	+	0.507268i	0.0792220	+	0.0792220i	−0.666385	+	0.745607i	$0.732159\pi$
$42$	−7.83231	−	0.351206i	−1.20855	−	0.0541923i
$43$	−0.761486	+	2.17620i	−0.116126	+	0.331868i	−0.987246	−	0.159201i	$-0.949108\pi$
$43$	−0.761486	+	2.17620i	−0.116126	+	0.331868i	0.871121	+	0.491069i	$0.163394\pi$
$44$	11.3868	−	0.257139i	1.71662	−	0.0387652i
$45$	1.26306	+	0.288286i	0.188286	+	0.0429751i
$46$	−3.31033	+	4.77888i	−0.488081	+	0.704607i
$47$	−5.28080	−	8.40434i	−0.770284	−	1.22590i	−0.969295	−	0.245902i	$-0.920916\pi$
$47$	−5.28080	−	8.40434i	−0.770284	−	1.22590i	0.199011	−	0.979997i	$-0.436227\pi$
$48$	6.14496	−	4.25976i	0.886949	−	0.614843i
$49$	0.399638	+	1.75093i	0.0570911	+	0.250132i
$50$	0.986609	−	2.46008i	0.139528	−	0.347907i
$51$	3.87428	+	3.08964i	0.542508	+	0.432636i
$52$	−1.35234	−	1.29261i	−0.187536	−	0.179253i
$53$	2.91924	−	6.06187i	0.400989	−	0.832662i	−0.598513	−	0.801113i	$-0.704242\pi$
$53$	2.91924	−	6.06187i	0.400989	−	0.832662i	0.999502	−	0.0315494i	$-0.0100442\pi$
$54$	4.35807	−	4.98891i	0.593058	−	0.678904i
$55$	1.67176	+	14.8373i	0.225420	+	2.00066i
$56$	−6.44054	−	5.37467i	−0.860653	−	0.718221i
$57$		−	12.5396i		−	1.66091i
$58$	6.70334	−	3.61458i	0.880192	−	0.474618i
$59$	11.7585			1.53083			0.765415	−	0.643537i	$-0.222534\pi$
$59$	11.7585			1.53083			0.765415	+	0.643537i	$0.222534\pi$
$60$	6.28285	+	7.52352i	0.811113	+	0.971282i
$61$	5.72525	−	0.645081i	0.733043	−	0.0825941i	0.262451	−	0.964945i	$-0.415469\pi$
$61$	5.72525	−	0.645081i	0.733043	−	0.0825941i	0.470592	+	0.882351i	$0.344040\pi$
$62$	7.82186	−	8.95409i	0.993377	−	1.13717i
$63$	1.32036	+	0.635852i	0.166350	+	0.0801098i
$64$	7.99209	+	0.355599i	0.999012	+	0.0444498i
$65$	1.52906	−	1.91738i	0.189656	−	0.237822i
$66$	−13.9727	−	5.60373i	−1.71992	−	0.689771i
$67$	−14.0788	+	3.21338i	−1.71999	+	0.392577i	−0.964812	−	0.262939i	$-0.915308\pi$
$67$	−14.0788	+	3.21338i	−1.71999	+	0.392577i	−0.755181	+	0.655516i	$0.772451\pi$
$68$	1.29620	+	5.14110i	0.157187	+	0.623450i
$69$	6.50622	−	4.08813i	0.783257	−	0.492153i
$70$	6.26191	−	9.03986i	0.748441	−	1.08047i
$71$	0.537830	−	2.35639i	0.0638287	−	0.279652i	−0.932934	−	0.360046i	$-0.882761\pi$
$71$	0.537830	−	2.35639i	0.0638287	−	0.279652i	0.996763	+	0.0803946i	$0.0256181\pi$
$72$	−1.36915	+	0.280630i	−0.161355	+	0.0330726i
$73$	0.802203	+	0.280703i	0.0938907	+	0.0328538i	0.376816	−	0.926288i	$-0.377019\pi$
$73$	0.802203	+	0.280703i	0.0938907	+	0.0328538i	−0.282925	+	0.959142i	$0.591305\pi$
$74$	−0.275001	+	6.13286i	−0.0319683	+	0.712930i
$75$	−2.47727	+	2.47727i	−0.286051	+	0.286051i
$76$	8.12618	−	10.6757i	0.932137	−	1.22459i
$77$	−1.89105	+	16.7836i	−0.215505	+	1.91266i
$78$	0.971983	+	2.27363i	0.110055	+	0.257438i
$79$	1.07128	−	1.70493i	0.120528	−	0.191820i	−0.781011	−	0.624518i	$-0.785296\pi$
$79$	1.07128	−	1.70493i	0.120528	−	0.191820i	0.901539	+	0.432698i	$0.142438\pi$
$80$	0.473421	+	10.4768i	0.0529301	+	1.17134i
$81$	−9.22432	+	4.44220i	−1.02492	+	0.493578i
$82$	0.269836	−	0.977994i	0.0297984	−	0.108001i
$83$	−6.27399	−	7.86734i	−0.688660	−	0.863552i	0.307460	−	0.951561i	$-0.400521\pi$
$83$	−6.27399	−	7.86734i	−0.688660	−	0.863552i	−0.996120	+	0.0880088i	$0.971950\pi$
$84$	5.03507	+	9.87851i	0.549372	+	1.07783i
$85$	−6.56052	+	2.29563i	−0.711589	+	0.248996i
$86$	3.20815	−	0.582422i	0.345944	−	0.0628042i
$87$	−10.0250	+	0.910171i	−1.07480	+	0.0975805i
$88$	−8.26437	−	13.8257i	−0.880985	−	1.47383i
$89$	4.71953	−	1.65144i	0.500270	−	0.175052i	−0.0683357	−	0.997662i	$-0.521769\pi$
$89$	4.71953	−	1.65144i	0.500270	−	0.175052i	0.568605	+	0.822610i	$0.307483\pi$
$90$	−0.527055	−	1.75473i	−0.0555565	−	0.184965i
$91$	2.16889	−	1.72963i	0.227362	−	0.181315i
$92$	8.18843	+	0.735829i	0.853703	+	0.0767155i
$93$	−14.1587	+	6.81847i	−1.46819	+	0.707042i
$94$	−6.65088	+	12.3615i	−0.685986	+	1.27499i
$95$	14.8925	+	9.35757i	1.52794	+	0.960066i
$96$	−9.52855	−	4.58464i	−0.972503	−	0.467918i
$97$	1.22559	−	10.8774i	0.124439	−	1.10443i	−0.763929	−	0.645300i	$-0.776732\pi$
$97$	1.22559	−	10.8774i	0.124439	−	1.10443i	0.888369	−	0.459131i	$-0.151839\pi$
$98$	1.87460	−	1.71370i	0.189364	−	0.173110i
$99$	1.98979	+	1.98979i	0.199982	+	0.199982i
$100$	−3.71444	+	0.503678i	−0.371444	+	0.0503678i
$101$	3.75976	+	1.31560i	0.374110	+	0.130907i	0.510783	−	0.859709i	$-0.329355\pi$
$101$	3.75976	+	1.31560i	0.374110	+	0.130907i	−0.136674	+	0.990616i	$0.543641\pi$
$102$	1.09581	−	6.92178i	0.108501	−	0.685358i
$103$	1.55646	+	0.355252i	0.153362	+	0.0350040i	0.298513	−	0.954406i	$-0.403509\pi$
$103$	1.55646	+	0.355252i	0.153362	+	0.0350040i	−0.145150	+	0.989410i	$0.546367\pi$
$104$	−0.645900	+	2.56557i	−0.0633357	+	0.251575i
$105$	−12.3074	+	7.73322i	−1.20107	+	0.754685i
$106$	−9.49348	+	0.640727i	−0.922088	+	0.0622329i
$107$	−0.583135	−	2.55488i	−0.0563738	−	0.246990i	0.938888	−	0.344223i	$-0.111858\pi$
$107$	−0.583135	−	2.55488i	−0.0563738	−	0.246990i	−0.995262	+	0.0972336i	$0.969001\pi$
$108$	−9.17810	−	1.87790i	−0.883163	−	0.180701i
$109$	0.727458	−	0.912203i	0.0696778	−	0.0873732i	−0.745771	−	0.666202i	$-0.767919\pi$
$109$	0.727458	−	0.912203i	0.0696778	−	0.0873732i	0.815449	+	0.578829i	$0.196490\pi$
$110$	17.0822	−	12.4128i	1.62873	−	1.18351i
$111$	3.52068	−	7.31077i	0.334168	−	0.693908i
$112$	−2.11502	+	11.6731i	−0.199851	+	1.10301i
$113$	−8.91983	+	1.00502i	−0.839107	+	0.0945446i	−0.521049	−	0.853527i	$-0.674459\pi$
$113$	−8.91983	+	1.00502i	−0.839107	+	0.0945446i	−0.318058	+	0.948071i	$0.603031\pi$
$114$	−15.4231	+	8.75277i	−1.44450	+	0.819772i
$115$			10.7778i			1.00503i
$116$	−9.12477	−	5.72177i	−0.847213	−	0.531253i
$117$		−	0.462194i		−	0.0427299i
$118$	−8.20758	−	14.4624i	−0.755569	−	1.33137i
$119$	−7.81287	+	0.880299i	−0.716205	+	0.0806969i
$120$	4.86806	−	12.9791i	0.444391	−	1.18482i
$121$	−9.29867	+	19.3089i	−0.845333	+	1.75535i
$122$	−4.78971	−	6.59150i	−0.433640	−	0.596767i
$123$	−0.836087	+	1.04842i	−0.0753874	+	0.0945328i
$124$	−16.4728	−	3.37045i	−1.47930	−	0.302675i
$125$	1.82365	+	7.98993i	0.163112	+	0.714641i
$126$	−0.139559	−	2.06781i	−0.0124329	−	0.184215i
$127$	−1.35915	+	0.854011i	−0.120605	+	0.0757812i	−0.590984	−	0.806684i	$-0.701260\pi$
$127$	−1.35915	+	0.854011i	−0.120605	+	0.0757812i	0.470379	+	0.882465i	$0.344117\pi$
$128$	−5.14120	−	10.0781i	−0.454422	−	0.890786i
$129$	−4.20168	−	0.959006i	−0.369937	−	0.0844358i
$130$	−3.42558	−	0.542316i	−0.300444	−	0.0475643i
$131$	−3.60185	−	1.26034i	−0.314695	−	0.110116i	0.168310	−	0.985734i	$-0.446169\pi$
$131$	−3.60185	−	1.26034i	−0.314695	−	0.110116i	−0.483005	+	0.875618i	$0.660455\pi$
$132$	2.86078	+	21.0972i	0.248999	+	1.83628i
$133$	14.0682	+	14.0682i	1.21987	+	1.21987i
$134$	13.7794	+	15.0732i	1.19036	+	1.30213i
$135$	1.37505	−	12.2039i	0.118346	−	1.05035i
$136$	5.41854	−	5.18281i	0.464636	−	0.444422i
$137$	11.0502	+	6.94331i	0.944083	+	0.593207i	0.913725	−	0.406332i	$-0.133192\pi$
$137$	11.0502	+	6.94331i	0.944083	+	0.593207i	0.0303579	+	0.999539i	$0.490335\pi$
$138$	−9.56962	−	5.14878i	−0.814620	−	0.438293i
$139$	−4.16653	+	2.00650i	−0.353400	+	0.170189i	−0.602158	−	0.798377i	$-0.705692\pi$
$139$	−4.16653	+	2.00650i	−0.353400	+	0.170189i	0.248757	+	0.968566i	$0.419978\pi$
$140$	−15.4895	−	1.39192i	−1.30910	−	0.117638i
$141$	14.5059	−	11.5681i	1.22162	−	0.974207i
$142$	−3.27365	+	0.983279i	−0.274719	+	0.0825150i
$143$	5.02786	−	1.75933i	0.420451	−	0.147122i
$144$	1.30084	+	1.48810i	0.108403	+	0.124008i
$145$	6.40015	−	12.5853i	0.531504	−	1.04515i
$146$	−0.214696	−	1.18260i	−0.0177683	−	0.0978730i
$147$	−3.16872	+	1.10878i	−0.261351	+	0.0914508i
$148$	7.73507	−	3.94256i	0.635819	−	0.324077i
$149$	−7.02571	−	8.80996i	−0.575568	−	0.721740i	0.405781	−	0.913970i	$-0.366999\pi$
$149$	−7.02571	−	8.80996i	−0.575568	−	0.721740i	−0.981350	+	0.192230i	$0.938428\pi$
$150$	4.77609	+	1.31776i	0.389966	+	0.107595i
$151$	4.58879	−	2.20985i	0.373431	−	0.179835i	−0.237749	−	0.971327i	$-0.576410\pi$
$151$	4.58879	−	2.20985i	0.373431	−	0.179835i	0.611180	+	0.791492i	$0.290695\pi$
$152$	−18.8028	−	2.54303i	−1.52511	−	0.206267i
$153$	−0.696927	+	1.10915i	−0.0563432	+	0.0896697i
$154$	21.9629	−	9.38921i	1.76982	−	0.756604i
$155$	2.46795	−	21.9036i	0.198230	−	1.75934i
$156$	2.11800	−	2.78251i	0.169576	−	0.222779i
$157$	17.1254	−	17.1254i	1.36676	−	1.36676i	0.501738	−	0.865020i	$-0.332694\pi$
$157$	17.1254	−	17.1254i	1.36676	−	1.36676i	0.865020	−	0.501738i	$-0.167306\pi$
$158$	−2.84475	−	0.127560i	−0.226316	−	0.0101482i
$159$	11.8709	+	4.15382i	0.941426	+	0.329419i
$160$	12.5555	−	7.89521i	0.992599	−	0.624171i
$161$	−2.71287	+	11.8859i	−0.213804	+	0.936739i
$162$	11.9024	+	8.24476i	0.935138	+	0.647770i
$163$	12.5667	−	7.89617i	0.984298	−	0.618476i	0.0592172	−	0.998245i	$-0.481140\pi$
$163$	12.5667	−	7.89617i	0.984298	−	0.618476i	0.925081	+	0.379770i	$0.123997\pi$
$164$	−1.39123	+	0.350765i	−0.108637	+	0.0273902i
$165$	−27.2104	+	6.21060i	−2.11833	+	0.483495i
$166$	−5.29712	+	13.2082i	−0.411137	+	1.02515i
$167$	−11.3996	+	14.2946i	−0.882127	+	1.10615i	0.111537	+	0.993760i	$0.464423\pi$
$167$	−11.3996	+	14.2946i	−0.882127	+	1.10615i	−0.993664	+	0.112392i	$0.964149\pi$
$168$	8.63554	−	13.0882i	0.666247	−	1.00978i
$169$	10.9243	+	5.26088i	0.840332	+	0.404683i
$170$	7.40283	+	6.46675i	0.567771	+	0.495977i
$171$	3.29394	−	0.371138i	0.251894	−	0.0283816i
$172$	−2.95567	−	3.53933i	−0.225368	−	0.269871i
$173$	−12.5204			−0.951906			−0.475953	−	0.879471i	$-0.657897\pi$
$173$	−12.5204			−0.951906			−0.475953	+	0.879471i	$0.657897\pi$
$174$	8.11705	+	11.6950i	0.615352	+	0.886596i
$175$		−	5.55854i		−	0.420186i
$176$	−11.2363	+	19.8153i	−0.846970	+	1.49363i
$177$	2.46095	+	21.8415i	0.184976	+	1.64171i
$178$	−5.32547	−	4.65208i	−0.399161	−	0.348688i
$179$	8.95782	−	18.6011i	0.669539	−	1.39031i	−0.238382	−	0.971171i	$-0.576617\pi$
$179$	8.95782	−	18.6011i	0.669539	−	1.39031i	0.907921	−	0.419141i	$-0.137669\pi$
$180$	−1.79035	+	1.87308i	−0.133445	+	0.139611i
$181$	1.22357	+	0.975762i	0.0909470	+	0.0725278i	0.667908	−	0.744244i	$-0.267190\pi$
$181$	1.22357	+	0.975762i	0.0909470	+	0.0725278i	−0.576961	+	0.816772i	$0.695761\pi$
$182$	−3.64128	−	1.46033i	−0.269909	−	0.108247i
$183$	2.39648	+	10.4997i	0.177153	+	0.776158i
$184$	−4.81058	−	10.5850i	−0.354641	−	0.780336i
$185$	6.05527	+	9.63690i	0.445192	+	0.708519i
$186$	18.2693	+	12.6551i	1.33957	+	0.927920i
$187$	−14.7185	−	3.35940i	−1.07632	−	0.245663i
$188$	19.8464	−	0.448176i	1.44745	−	0.0326866i
$189$	4.58829	−	13.1126i	0.333749	−	0.953799i
$190$	1.11423	−	24.8487i	0.0808350	−	1.80272i
$191$	2.73230	+	2.73230i	0.197702	+	0.197702i	0.799014	−	0.601312i	$-0.205355\pi$
$191$	2.73230	+	2.73230i	0.197702	+	0.197702i	−0.601312	+	0.799014i	$0.705355\pi$
$192$	1.01214	+	14.9198i	0.0730452	+	1.07674i
$193$	−12.9538	−	1.45954i	−0.932432	−	0.105060i	−0.367339	−	0.930087i	$-0.619731\pi$
$193$	−12.9538	−	1.45954i	−0.932432	−	0.105060i	−0.565093	+	0.825027i	$0.691160\pi$
$194$	−14.2341	+	6.08512i	−1.02195	+	0.436886i
$195$	3.88156	+	2.43895i	0.277964	+	0.174657i
$196$	−3.41626	−	1.10949i	−0.244019	−	0.0792492i
$197$	−11.6244	−	24.1383i	−0.828205	−	1.71979i	−0.683044	−	0.730377i	$-0.739344\pi$
$197$	−11.6244	−	24.1383i	−0.828205	−	1.71979i	−0.145161	−	0.989408i	$-0.546370\pi$
$198$	1.05845	−	3.83625i	0.0752208	−	0.272630i
$199$	−7.83836	+	6.25088i	−0.555646	+	0.443113i	−0.860620	−	0.509248i	$-0.829924\pi$
$199$	−7.83836	+	6.25088i	−0.555646	+	0.443113i	0.304974	+	0.952361i	$0.401352\pi$
$200$	3.21222	+	4.21700i	0.227138	+	0.298187i
$201$	−8.91543	−	25.4788i	−0.628846	−	1.79714i
$202$	−1.00623	−	5.54262i	−0.0707983	−	0.389977i
$203$	10.2260	−	12.2683i	0.717727	−	0.861065i
$204$	−9.27834	+	3.48368i	−0.649614	+	0.243907i
$205$	−0.621220	−	1.77534i	−0.0433879	−	0.123995i
$206$	−0.649484	−	2.16234i	−0.0452517	−	0.150657i
$207$	1.26645	+	1.58808i	0.0880243	+	0.110379i
$208$	3.60637	−	0.996370i	0.250057	−	0.0690858i
$209$	16.5756	+	34.4195i	1.14656	+	2.38085i
$210$	18.1022	+	9.73957i	1.24917	+	0.672094i
$211$	10.2746	−	16.3519i	0.707330	−	1.12571i	−0.278898	−	0.960321i	$-0.589969\pi$
$211$	10.2746	−	16.3519i	0.707330	−	1.12571i	0.986228	−	0.165389i	$-0.0528879\pi$
$212$	7.41461	+	11.2293i	0.509238	+	0.771230i
$213$	4.48956	+	0.505852i	0.307620	+	0.0346604i
$214$	−2.73535	+	2.50056i	−0.186984	+	0.170935i
$215$	4.27442	−	4.27442i	0.291513	−	0.291513i
$216$	4.09669	+	12.5994i	0.278744	+	0.857281i
$217$	8.23505	−	23.5344i	0.559032	−	1.59762i
$218$	−1.62974	−	0.258010i	−0.110380	−	0.0174746i
$219$	−0.353514	+	1.54884i	−0.0238882	+	0.104661i
$220$	−27.1907	−	12.3460i	−1.83319	−	0.832370i
$221$	1.31926	+	2.09959i	0.0887429	+	0.141234i
$222$	−11.4494	+	0.772733i	−0.768432	+	0.0518624i
$223$	8.27134	−	1.88788i	0.553890	−	0.126422i	0.0635909	−	0.997976i	$-0.479745\pi$
$223$	8.27134	−	1.88788i	0.553890	−	0.126422i	0.490299	+	0.871554i	$0.336888\pi$
$224$	15.8337	−	5.54660i	1.05793	−	0.370598i
$225$	−0.724059	−	0.577418i	−0.0482706	−	0.0384945i
$226$	7.46227	+	10.2694i	0.496383	+	0.683113i
$227$	7.60539	+	3.66256i	0.504787	+	0.243093i	0.668905	−	0.743348i	$-0.266763\pi$
$227$	7.60539	+	3.66256i	0.504787	+	0.243093i	−0.164117	+	0.986441i	$0.552478\pi$
$228$	21.5310	+	12.8601i	1.42592	+	0.851681i
$229$	1.73742	+	15.4200i	0.114812	+	1.01898i	0.910566	+	0.413363i	$0.135646\pi$
$229$	1.73742	+	15.4200i	0.114812	+	1.01898i	−0.795755	+	0.605619i	$0.792926\pi$
$230$	13.2561	−	7.52300i	0.874084	−	0.496052i
$231$	−31.5713			−2.07724
$232$	−0.668305	+	15.2169i	−0.0438764	+	0.999037i
$233$	−22.3548			−1.46451			−0.732255	−	0.681030i	$-0.761532\pi$
$233$	−22.3548			−1.46451			−0.732255	+	0.681030i	$0.761532\pi$
$234$	−0.568477	+	0.322617i	−0.0371625	+	0.0210901i
$235$	2.91376	+	25.8603i	0.190073	+	1.68694i
$236$	−12.0591	+	20.1899i	−0.784979	+	1.31425i
$237$	3.39113	+	1.63308i	0.220277	+	0.106080i
$238$	6.53620	+	8.99499i	0.423679	+	0.583059i
$239$	−13.5159	−	10.7786i	−0.874270	−	0.697207i	0.0797938	−	0.996811i	$-0.474574\pi$
$239$	−13.5159	−	10.7786i	−0.874270	−	0.697207i	−0.954063	+	0.299605i	$0.903145\pi$
$240$	−19.3616	+	3.07208i	−1.24979	+	0.198302i
$241$	−9.73669	+	2.22234i	−0.627195	+	0.143153i	−0.524293	−	0.851538i	$-0.675670\pi$
$241$	−9.73669	+	2.22234i	−0.627195	+	0.143153i	−0.102903	+	0.994691i	$0.532813\pi$
$242$	30.2396	−	2.04091i	1.94387	−	0.131194i
$243$	−2.70567	−	4.30605i	−0.173569	−	0.276233i
$244$	−4.76396	+	10.4920i	−0.304981	+	0.671685i
$245$	1.04780	−	4.59071i	0.0669414	−	0.293290i
$246$	1.87310	+	0.296537i	0.119425	+	0.0189065i
$247$	2.07242	−	5.92264i	0.131865	−	0.376849i
$248$	7.35273	+	22.6134i	0.466899	+	1.43595i
$249$	13.3005	−	13.3005i	0.842887	−	0.842887i
$250$	8.55430	−	7.82006i	0.541021	−	0.494584i
$251$	10.7394	+	1.21004i	0.677868	+	0.0763773i	0.444184	−	0.895935i	$-0.353494\pi$
$251$	10.7394	+	1.21004i	0.677868	+	0.0763773i	0.233683	+	0.972313i	$0.424922\pi$
$252$	−2.44589	+	1.61501i	−0.154077	+	0.101736i
$253$	−12.4548	+	19.8217i	−0.783027	+	1.24618i
$254$	1.99909	+	1.07558i	0.125434	+	0.0674879i
$255$	−5.63719	−	11.7058i	−0.353015	−	0.733043i
$256$	−8.80695	+	13.3581i	−0.550435	+	0.834878i
$257$	−10.3075	−	12.9253i	−0.642967	−	0.806255i	0.348403	−	0.937345i	$-0.386724\pi$
$257$	−10.3075	−	12.9253i	−0.642967	−	0.806255i	−0.991371	+	0.131089i	$0.958153\pi$
$258$	1.75329	+	5.83726i	0.109155	+	0.363412i
$259$	4.25213	+	12.1519i	0.264215	+	0.755082i
$260$	1.72407	+	4.59184i	0.106923	+	0.284774i
$261$	−0.535800	−	2.60647i	−0.0331652	−	0.161336i
$262$	0.963971	+	5.30983i	0.0595543	+	0.328042i
$263$	2.00006	+	5.71583i	0.123329	+	0.352453i	0.988951	−	0.148245i	$-0.0473624\pi$
$263$	2.00006	+	5.71583i	0.123329	+	0.352453i	−0.865622	+	0.500698i	$0.833077\pi$
$264$	23.9517	−	18.2447i	1.47412	−	1.12288i
$265$	−13.7918	+	10.9986i	−0.847225	+	0.675640i
$266$	7.48347	−	27.1231i	0.458841	−	1.66302i
$267$	4.05531	+	8.42093i	0.248181	+	0.515353i
$268$	8.92111	−	27.4693i	0.544944	−	1.67795i
$269$	−17.2206	−	10.8204i	−1.04996	−	0.659732i	−0.107550	−	0.994200i	$-0.534300\pi$
$269$	−17.2206	−	10.8204i	−1.04996	−	0.659732i	−0.942407	+	0.334468i	$0.891443\pi$
$270$	−15.9701	+	6.82724i	−0.971907	+	0.415493i
$271$	23.4692	+	2.64435i	1.42565	+	0.160633i	0.790836	−	0.612029i	$-0.209646\pi$
$271$	23.4692	+	2.64435i	1.42565	+	0.160633i	0.634819	+	0.772661i	$0.281075\pi$
$272$	−10.1568	−	3.04688i	−0.615847	−	0.184744i
$273$	3.66673	+	3.66673i	0.221921	+	0.221921i
$274$	0.826760	−	18.4377i	0.0499464	−	1.11386i
$275$	3.52519	−	10.0744i	0.212577	−	0.607510i
$276$	0.346955	+	15.3641i	0.0208842	+	0.924808i
$277$	−11.0106	−	2.51310i	−0.661563	−	0.150997i	−0.121460	−	0.992596i	$-0.538758\pi$
$277$	−11.0106	−	2.51310i	−0.661563	−	0.150997i	−0.540103	+	0.841599i	$0.681615\pi$
$278$	5.37618	+	3.72407i	0.322442	+	0.223355i
$279$	−2.21016	−	3.51744i	−0.132319	−	0.210584i
$280$	9.09984	+	20.0229i	0.543819	+	1.19660i
$281$	−1.90340	−	8.33936i	−0.113548	−	0.497484i	−0.999436	−	0.0335856i	$-0.989307\pi$
$281$	−1.90340	−	8.33936i	−0.113548	−	0.497484i	0.885888	−	0.463899i	$-0.153550\pi$
$282$	−24.3534	−	9.76691i	−1.45023	−	0.581611i
$283$	−14.3763	−	11.4647i	−0.854584	−	0.681508i	0.0948446	−	0.995492i	$-0.469765\pi$
$283$	−14.3763	−	11.4647i	−0.854584	−	0.681508i	−0.949428	+	0.313984i	$0.898336\pi$
$284$	3.49443	+	3.34009i	0.207356	+	0.198198i
$285$	−14.2649	+	29.6213i	−0.844978	+	1.75462i
$286$	−5.67339	−	4.95600i	−0.335475	−	0.293054i
$287$	−0.238218	−	2.11424i	−0.0140616	−	0.124800i
$288$	0.922290	−	2.63868i	0.0543464	−	0.155486i
$289$			9.97224i			0.586602i
$290$	−19.9467	+	0.912817i	−1.17131	+	0.0536025i
$291$	20.4613			1.19946
$292$	−1.30469	+	1.08954i	−0.0763509	+	0.0637603i
$293$	17.5859	−	1.98146i	1.02738	−	0.115758i	0.417846	−	0.908518i	$-0.362785\pi$
$293$	17.5859	−	1.98146i	1.02738	−	0.115758i	0.609534	+	0.792760i	$0.291357\pi$
$294$	3.57555	+	3.12342i	0.208530	+	0.182162i
$295$	−27.7763	−	13.3764i	−1.61720	−	0.778802i
$296$	−10.2483	−	6.76181i	−0.595672	−	0.393022i
$297$	16.6318	−	20.8556i	0.965075	−	1.21017i
$298$	−5.93180	+	14.7907i	−0.343620	+	0.856804i
$299$	3.74864	−	0.855602i	0.216789	−	0.0494807i
$300$	−1.71298	−	6.79417i	−0.0988991	−	0.392262i
$301$	5.78981	−	3.63798i	0.333719	−	0.209690i
$302$	−5.92103	−	4.10150i	−0.340717	−	0.236015i
$303$	−1.65684	+	7.25911i	−0.0951832	+	0.417025i
$304$	9.99675	+	24.9016i	0.573353	+	1.42820i
$305$	−14.2582	−	4.98915i	−0.816420	−	0.285678i
$306$	1.85067	+	0.0829852i	0.105796	+	0.00474395i
$307$	6.39423	−	6.39423i	0.364938	−	0.364938i	−0.500689	−	0.865627i	$-0.666920\pi$
$307$	6.39423	−	6.39423i	0.364938	−	0.364938i	0.865627	+	0.500689i	$0.166920\pi$
$308$	−26.8786	−	20.4596i	−1.53155	−	1.16579i
$309$	−0.334130	+	2.96548i	−0.0190080	+	0.168700i
$310$	−28.6630	+	12.2535i	−1.62795	+	0.695953i
$311$	11.2449	−	17.8961i	0.637638	−	1.01479i	−0.359038	−	0.933323i	$-0.616895\pi$
$311$	11.2449	−	17.8961i	0.637638	−	1.01479i	0.996676	−	0.0814716i	$-0.0259620\pi$
$312$	−4.90074	−	0.662814i	−0.277450	−	0.0375245i
$313$	−8.91970	+	4.29550i	−0.504171	+	0.242796i	−0.668640	−	0.743586i	$-0.733123\pi$
$313$	−8.91970	+	4.29550i	−0.504171	+	0.242796i	0.164469	+	0.986382i	$0.447409\pi$
$314$	−33.0172	−	9.10970i	−1.86327	−	0.514090i
$315$	−2.39565	−	3.00405i	−0.134980	−	0.169259i
$316$	1.82877	+	3.58794i	0.102876	+	0.201837i
$317$	14.8444	−	5.19428i	0.833745	−	0.291740i	0.120552	−	0.992707i	$-0.461534\pi$
$317$	14.8444	−	5.19428i	0.833745	−	0.291740i	0.713194	+	0.700967i	$0.247248\pi$
$318$	−3.17705	−	17.5001i	−0.178160	−	0.981356i
$319$	26.3143	−	15.7500i	1.47332	−	0.881831i
$320$	−18.4746	−	9.93171i	−1.03276	−	0.555200i
$321$	4.62366	−	1.61789i	0.258068	−	0.0903018i
$322$	16.5127	−	4.95977i	0.920215	−	0.276397i
$323$	−13.9039	+	11.0880i	−0.773631	+	0.616950i
$324$	1.83267	−	20.3943i	0.101815	−	1.13302i
$325$	−1.57947	+	0.760635i	−0.0876135	+	0.0421924i
$326$	−18.4836	−	9.94479i	−1.02371	−	0.550791i
$327$	1.84667	+	1.16034i	0.102121	+	0.0641670i
$328$	1.40252	+	1.46631i	0.0774412	+	0.0809635i
$329$	−3.29597	+	29.2526i	−0.181713	+	1.61275i
$330$	26.6319	+	29.1324i	1.46604	+	1.60369i
$331$	24.0666	+	24.0666i	1.32282	+	1.32282i	0.911483	+	0.411337i	$0.134938\pi$
$331$	24.0666	+	24.0666i	1.32282	+	1.32282i	0.411337	+	0.911483i	$0.365062\pi$
$332$	19.9429	−	2.70426i	1.09451	−	0.148416i
$333$	2.02462	+	0.708445i	0.110948	+	0.0388226i
$334$	25.5387	+	4.04313i	1.39742	+	0.221230i
$335$	36.9127	+	8.42508i	2.01676	+	0.460311i
$336$	−22.1256	−	1.48559i	−1.20705	−	0.0810455i
$337$	3.34338	−	2.10078i	0.182125	−	0.114437i	−0.437884	−	0.899032i	$-0.644272\pi$
$337$	3.34338	−	2.10078i	0.182125	−	0.114437i	0.620009	+	0.784595i	$0.287129\pi$
$338$	−1.15468	−	17.1085i	−0.0628061	−	0.930582i
$339$	−3.73367	−	16.3583i	−0.202785	−	0.888460i
$340$	2.78653	−	13.6190i	0.151121	−	0.738593i
$341$	29.8507	−	37.4316i	1.61651	−	2.02704i
$342$	−2.75569	−	3.79232i	−0.149010	−	0.205065i
$343$	−6.69662	+	13.9057i	−0.361584	+	0.750836i
$344$	−2.29011	+	6.10583i	−0.123474	+	0.329204i
$345$	−20.0198	+	2.25569i	−1.07783	+	0.121442i
$346$	8.73936	+	15.3994i	0.469831	+	0.827879i
$347$			15.2521i			0.818778i	0.912360	+	0.409389i	$0.134258\pi$
$347$			15.2521i			0.818778i	−0.912360	+	0.409389i	$0.865742\pi$
$348$	8.71849	−	18.1468i	0.467360	−	0.972772i
$349$			3.00347i			0.160772i	0.996764	+	0.0803860i	$0.0256153\pi$
$349$			3.00347i			0.160772i	−0.996764	+	0.0803860i	$0.974385\pi$
$350$	−6.83674	+	3.87993i	−0.365439	+	0.207391i
$351$	−4.35384	+	0.490560i	−0.232391	+	0.0261841i
$352$	32.2149	−	0.0111516i	1.71706	−	0.000594383i
$353$	−1.76954	+	3.67450i	−0.0941834	+	0.195574i	−0.942738	−	0.333534i	$-0.891759\pi$
$353$	−1.76954	+	3.67450i	−0.0941834	+	0.195574i	0.848555	+	0.529107i	$0.177473\pi$
$354$	25.1462	−	18.2725i	1.33651	−	0.971171i
$355$	−3.95107	+	4.95449i	−0.209701	+	0.262957i
$356$	−2.00459	+	9.79728i	−0.106243	+	0.519255i
$357$	−3.27032	−	14.3282i	−0.173084	−	0.758329i
$358$	−29.1311	+	1.96610i	−1.53963	+	0.103911i
$359$	−14.4027	+	9.04980i	−0.760144	+	0.477630i	−0.855493	−	0.517814i	$-0.826746\pi$
$359$	−14.4027	+	9.04980i	−0.760144	+	0.477630i	0.0953495	+	0.995444i	$0.469603\pi$
$360$	3.55347	+	0.894612i	0.187285	+	0.0471502i
$361$	25.3496	+	5.78588i	1.33419	+	0.304520i
$362$	0.346076	−	2.18602i	0.0181894	−	0.114895i
$363$	−37.8125	−	13.2312i	−1.98464	−	0.694456i
$364$	0.745519	+	5.49792i	0.0390758	+	0.288169i
$365$	−1.57566	−	1.57566i	−0.0824738	−	0.0824738i
$366$	11.2413	−	10.2764i	0.587593	−	0.537158i
$367$	3.51562	−	31.2020i	0.183514	−	1.62873i	−0.477693	−	0.878527i	$-0.658527\pi$
$367$	3.51562	−	31.2020i	0.183514	−	1.62873i	0.661207	−	0.750204i	$-0.270045\pi$
$368$	−9.66119	+	13.3052i	−0.503624	+	0.693583i
$369$	−0.300148	−	0.188596i	−0.0156251	−	0.00981789i
$370$	7.62628	−	14.1744i	0.396471	−	0.736890i
$371$	−17.9783	+	8.65789i	−0.933386	+	0.449495i
$372$	2.81302	−	31.3038i	0.145848	−	1.62303i
$373$	9.82512	−	7.83527i	0.508725	−	0.405695i	−0.335207	−	0.942145i	$-0.608806\pi$
$373$	9.82512	−	7.83527i	0.508725	−	0.405695i	0.843932	+	0.536450i	$0.180235\pi$
$374$	6.14177	+	20.4479i	0.317583	+	1.05734i
$375$	−14.4597	+	5.05966i	−0.746694	+	0.261280i
$376$	−14.4042	−	24.0972i	−0.742841	−	1.24272i
$377$	−4.88540	−	1.22695i	−0.251611	−	0.0631913i
$378$	−19.3305	+	3.50935i	−0.994254	+	0.180502i
$379$	−19.1280	+	6.69319i	−0.982542	+	0.343806i	−0.773288	−	0.634055i	$-0.781389\pi$
$379$	−19.1280	+	6.69319i	−0.982542	+	0.343806i	−0.209254	+	0.977861i	$0.567104\pi$
$380$	−31.3405	+	15.9742i	−1.60773	+	0.819461i
$381$	−1.87079	−	2.34589i	−0.0958434	−	0.120184i
$382$	1.45342	−	5.26778i	0.0743635	−	0.269523i
$383$	4.97374	−	2.39523i	0.254146	−	0.122390i	−0.302474	−	0.953158i	$-0.597812\pi$
$383$	4.97374	−	2.39523i	0.254146	−	0.122390i	0.556620	+	0.830767i	$0.312098\pi$
$384$	17.6441	−	11.6591i	0.900398	−	0.594974i
$385$	23.5599	−	37.4953i	1.20072	−	1.91094i
$386$	7.24671	+	16.9513i	0.368848	+	0.862797i
$387$	0.127556	−	1.13209i	0.00648406	−	0.0575476i
$388$	17.4200	+	13.2598i	0.884365	+	0.673164i
$389$	−24.1280	+	24.1280i	−1.22334	+	1.22334i	−0.256903	+	0.966437i	$0.582702\pi$
$389$	−24.1280	+	24.1280i	−1.22334	+	1.22334i	−0.966437	+	0.256903i	$0.917298\pi$
$390$	0.290413	−	6.47654i	0.0147056	−	0.327953i
$391$	−10.2859	−	3.59921i	−0.520183	−	0.182020i
$392$	1.01997	+	4.97627i	0.0515164	+	0.251340i
$393$	1.58726	−	6.95423i	0.0800665	−	0.350794i
$394$	−21.5750	+	31.1463i	−1.08693	+	1.56913i
$395$	−4.47011	+	2.80876i	−0.224916	+	0.141324i
$396$	−5.45721	+	1.37590i	−0.274235	+	0.0691416i
$397$	13.1529	−	3.00205i	0.660123	−	0.150669i	0.120681	−	0.992691i	$-0.461492\pi$
$397$	13.1529	−	3.00205i	0.660123	−	0.150669i	0.539442	+	0.842023i	$0.318635\pi$
$398$	13.1595	+	5.27761i	0.659628	+	0.264543i
$399$	−23.1875	+	29.0762i	−1.16083	+	1.45563i
$400$	2.94455	−	6.89439i	0.147227	−	0.344719i
$401$	−19.4728	−	9.37762i	−0.972427	−	0.468296i	−0.120933	−	0.992661i	$-0.538589\pi$
$401$	−19.4728	−	9.37762i	−0.972427	−	0.468296i	−0.851494	+	0.524365i	$0.824303\pi$
$402$	−25.1147	+	28.7501i	−1.25261	+	1.43392i
$403$	−7.81426	+	0.880456i	−0.389256	+	0.0438586i
$404$	−6.11479	+	5.10643i	−0.304222	+	0.254054i
$405$	26.8433			1.33386
$406$	−22.2273	−	4.01412i	−1.10312	−	0.199218i
$407$			24.7210i			1.22537i
$408$	10.7611	+	8.98026i	0.532756	+	0.444589i
$409$	−0.129811	−	1.15210i	−0.00641874	−	0.0569679i	0.990095	−	0.140402i	$-0.0448396\pi$
$409$	−0.129811	−	1.15210i	−0.00641874	−	0.0569679i	−0.996513	+	0.0834345i	$0.973411\pi$
$410$	−1.74997	+	2.00328i	−0.0864248	+	0.0989349i
$411$	−10.5845	+	21.9790i	−0.522096	+	1.08414i
$412$	−2.20622	+	2.30817i	−0.108693	+	0.113715i
$413$	−27.2651	−	21.7432i	−1.34163	−	1.06991i
$414$	1.06926	−	2.66617i	0.0525514	−	0.131035i
$415$	5.87080	+	25.7216i	0.288186	+	1.26263i
$416$	−3.74277	−	3.74018i	−0.183505	−	0.183378i
$417$	−4.59909	−	7.31941i	−0.225218	−	0.358433i
$418$	30.7644	−	44.4124i	1.50474	−	2.17228i
$419$	−8.48982	−	1.93775i	−0.414755	−	0.0946651i	0.0100512	−	0.999949i	$-0.496801\pi$
$419$	−8.48982	−	1.93775i	−0.414755	−	0.0946651i	−0.424806	+	0.905284i	$0.639658\pi$
$420$	−0.656310	−	29.0631i	−0.0320247	−	1.41813i
$421$	−6.82007	+	19.4906i	−0.332390	+	0.949915i	0.649483	+	0.760376i	$0.274985\pi$
$421$	−6.82007	+	19.4906i	−0.332390	+	0.949915i	−0.981873	+	0.189539i	$0.939301\pi$
$422$	−27.2838	−	1.22342i	−1.32815	−	0.0595553i
$423$	3.46807	+	3.46807i	0.168623	+	0.168623i
$424$	8.63598	−	16.9578i	0.419400	−	0.823542i
$425$	4.93729	+	0.556299i	0.239494	+	0.0269845i
$426$	−2.51159	−	5.87504i	−0.121687	−	0.284646i
$427$	−14.4683	−	9.09103i	−0.700170	−	0.439946i
$428$	4.98487	+	1.61892i	0.240953	+	0.0782535i
$429$	4.32024	+	8.97108i	0.208583	+	0.433128i
$430$	−8.24093	−	2.27374i	−0.397413	−	0.109649i
$431$	−19.4030	+	15.4734i	−0.934611	+	0.745327i	−0.967167	−	0.254143i	$-0.918207\pi$
$431$	−19.4030	+	15.4734i	−0.934611	+	0.745327i	0.0325561	+	0.999470i	$0.489635\pi$
$432$	12.6371	−	13.8333i	0.608004	−	0.665553i
$433$	7.86310	+	22.4715i	0.377877	+	1.07991i	0.963125	+	0.269055i	$0.0867113\pi$
$433$	7.86310	+	22.4715i	0.377877	+	1.07991i	−0.585248	+	0.810854i	$0.699003\pi$
$434$	−34.6944	+	6.29858i	−1.66538	+	0.302341i
$435$	24.7168	+	9.25433i	1.18508	+	0.443711i
$436$	0.820237	+	2.18459i	0.0392822	+	0.104623i
$437$	9.10777	+	26.0285i	0.435684	+	1.24511i
$438$	2.15176	−	0.646306i	0.102815	−	0.0308817i
$439$	22.0724	+	27.6779i	1.05346	+	1.32099i	0.945064	+	0.326886i	$0.105999\pi$
$439$	22.0724	+	27.6779i	1.05346	+	1.32099i	0.108394	+	0.994108i	$0.465429\pi$
$440$	3.79435	+	42.0609i	0.180889	+	2.00517i
$441$	−0.385044	−	0.799552i	−0.0183354	−	0.0380739i
$442$	1.66153	−	3.08816i	0.0790311	−	0.146889i
$443$	0.161274	−	0.256667i	0.00766238	−	0.0121946i	−0.842871	−	0.538116i	$-0.819136\pi$
$443$	0.161274	−	0.256667i	0.00766238	−	0.0121946i	0.850533	+	0.525921i	$0.176279\pi$
$444$	8.94221	+	13.5428i	0.424379	+	0.642713i
$445$	−13.0273	−	1.46782i	−0.617551	−	0.0695813i
$446$	−8.09549	−	8.85559i	−0.383332	−	0.419324i
$447$	14.8941	−	14.8941i	0.704468	−	0.704468i
$448$	−17.8741	−	15.6031i	−0.844474	−	0.737176i
$449$	2.37111	−	6.77623i	0.111899	−	0.319790i	−0.874292	−	0.485401i	$-0.838674\pi$
$449$	2.37111	−	6.77623i	0.111899	−	0.319790i	0.986191	+	0.165611i	$0.0529595\pi$
$450$	−0.204794	+	1.29360i	−0.00965410	+	0.0609809i
$451$	0.909086	−	3.98297i	0.0428072	−	0.187551i
$452$	7.42216	−	16.3464i	0.349109	−	0.768870i
$453$	5.06519	+	8.06121i	0.237984	+	0.378749i
$454$	−0.803873	−	11.9108i	−0.0377276	−	0.559000i
$455$	−7.09102	+	1.61848i	−0.332432	+	0.0758755i
$456$	0.788453	−	35.4585i	0.0369227	−	1.66050i
$457$	10.0682	+	8.02911i	0.470970	+	0.375586i	0.830021	−	0.557732i	$-0.188328\pi$
$457$	10.0682	+	8.02911i	0.470970	+	0.375586i	−0.359051	+	0.933318i	$0.616900\pi$
$458$	17.7531	−	12.9003i	0.829548	−	0.602790i
$459$	11.1878	+	5.38778i	0.522204	+	0.251480i
$460$	−18.5059	−	11.0533i	−0.862840	−	0.515361i
$461$	−0.766575	−	6.80354i	−0.0357029	−	0.316872i	−0.998852	−	0.0479040i	$-0.984746\pi$
$461$	−0.766575	−	6.80354i	−0.0357029	−	0.316872i	0.963149	−	0.268968i	$-0.0866827\pi$
$462$	22.0371	+	38.8312i	1.02526	+	1.80659i
$463$	−0.774788			−0.0360075			−0.0180037	−	0.999838i	$-0.505731\pi$
$463$	−0.774788			−0.0360075			−0.0180037	+	0.999838i	$0.505731\pi$
$464$	19.1825	−	9.79957i	0.890525	−	0.454934i
$465$	41.2026			1.91073
$466$	15.6039	+	27.4953i	0.722836	+	1.27369i
$467$	0.895481	+	7.94762i	0.0414379	+	0.367772i	0.997269	+	0.0738551i	$0.0235302\pi$
$467$	0.895481	+	7.94762i	0.0414379	+	0.367772i	−0.955831	+	0.293917i	$0.905041\pi$
$468$	0.793606	+	0.474008i	0.0366844	+	0.0219110i
$469$	38.5872	+	18.5826i	1.78179	+	0.858065i
$470$	29.7731	−	21.6346i	1.37333	−	0.997929i
$471$	35.3948	+	28.2264i	1.63090	+	1.30060i
$472$	33.2499	+	0.739342i	1.53045	+	0.0340310i
$473$	12.8007	−	2.92169i	0.588579	−	0.134339i
$474$	−0.358435	−	5.31083i	−0.0164634	−	0.243934i
$475$	−6.68915	−	10.6457i	−0.306919	−	0.488459i
$476$	6.50107	−	14.3178i	0.297976	−	0.656256i
$477$	−0.739791	+	3.24124i	−0.0338727	+	0.148406i
$478$	−3.82286	+	24.1474i	−0.174854	+	1.10448i
$479$	6.82856	−	19.5149i	0.312005	−	0.891659i	−0.675954	−	0.736944i	$-0.736268\pi$
$479$	6.82856	−	19.5149i	0.312005	−	0.891659i	0.987959	−	0.154715i	$-0.0494461\pi$
$480$	17.2931	+	21.6695i	0.789320	+	0.989074i
$481$	2.87113	−	2.87113i	0.130912	−	0.130912i
$482$	9.52968	+	10.4244i	0.434065	+	0.474820i
$483$	−22.6459	−	2.55158i	−1.03042	−	0.116101i
$484$	−23.6178	−	35.7686i	−1.07353	−	1.62585i
$485$	−15.2691	+	24.3006i	−0.693333	+	1.10343i
$486$	−3.40764	+	6.33351i	−0.154574	+	0.287294i
$487$	−13.5444	−	28.1252i	−0.613755	−	1.27448i	−0.943802	−	0.330511i	$-0.892779\pi$
$487$	−13.5444	−	28.1252i	−0.613755	−	1.27448i	0.330047	−	0.943964i	$-0.392935\pi$
$488$	16.2300	−	1.46413i	0.734698	−	0.0662779i
$489$	17.2973	+	21.6901i	0.782209	+	0.980860i
$490$	−6.37772	+	1.91562i	−0.288116	+	0.0865390i
$491$	−10.6274	−	30.3713i	−0.479606	−	1.37064i	−0.888845	−	0.458208i	$-0.848491\pi$
$491$	−10.6274	−	30.3713i	−0.479606	−	1.37064i	0.409239	−	0.912427i	$-0.365794\pi$
$492$	−0.942720	−	2.51081i	−0.0425011	−	0.113196i
$493$	9.87370	+	10.3109i	0.444689	+	0.464381i
$494$	−8.73113	+	1.58509i	−0.392832	+	0.0713166i
$495$	−2.43678	−	6.96391i	−0.109525	−	0.313004i
$496$	22.6811	−	24.8279i	1.01841	−	1.11481i
$497$	−5.60439	+	4.46935i	−0.251391	+	0.200478i
$498$	−25.6429	−	7.07509i	−1.14909	−	0.317042i
$499$	3.26553	+	6.78093i	0.146185	+	0.303556i	0.961185	−	0.275905i	$-0.0889774\pi$
$499$	3.26553	+	6.78093i	0.146185	+	0.303556i	−0.815000	+	0.579461i	$0.803263\pi$
$500$	−15.5893	−	5.06288i	−0.697174	−	0.226419i
$501$	−28.9382	−	18.1831i	−1.29286	−	0.812360i
$502$	−6.00795	−	14.0536i	−0.268148	−	0.627244i
$503$	−40.4946	−	4.56264i	−1.80556	−	0.203438i	−0.855993	−	0.516988i	$-0.827053\pi$
$503$	−40.4946	−	4.56264i	−1.80556	−	0.203438i	−0.949572	+	0.313550i	$0.898482\pi$
$504$	3.69364	+	1.88104i	0.164528	+	0.0837881i
$505$	−7.38479	−	7.38479i	−0.328619	−	0.328619i
$506$	33.0733	+	1.48303i	1.47029	+	0.0659288i
$507$	−7.48575	+	21.3930i	−0.332454	+	0.950098i
$508$	−0.0724790	−	3.20956i	−0.00321574	−	0.142401i
$509$	−4.75036	−	1.08424i	−0.210556	−	0.0480581i	0.115942	−	0.993256i	$-0.463011\pi$
$509$	−4.75036	−	1.08424i	−0.210556	−	0.0480581i	−0.326498	+	0.945198i	$0.605869\pi$
$510$	−10.4627	+	15.1042i	−0.463295	+	0.668826i
$511$	−1.34105	−	2.13427i	−0.0593246	−	0.0944145i
$512$	22.5771	+	1.50806i	0.997777	+	0.0666473i
$513$	−6.99218	−	30.6347i	−0.308712	−	1.35256i
$514$	−8.70265	+	21.6998i	−0.383858	+	0.957135i
$515$	−3.27258	−	2.60979i	−0.144207	−	0.115001i
$516$	5.95573	−	6.23093i	0.262186	−	0.274301i
$517$	−24.5254	+	50.9276i	−1.07863	+	2.23979i
$518$	11.9782	−	13.7121i	0.526292	−	0.602474i
$519$	−2.62040	−	23.2567i	−0.115023	−	1.02085i
$520$	4.44432	−	5.32569i	0.194896	−	0.233547i
$521$		−	11.2284i		−	0.491923i	−0.969280	−	0.245962i	$-0.920896\pi$
$521$		−	11.2284i		−	0.491923i	0.969280	−	0.245962i	$-0.0791037\pi$
$522$	−2.83184	+	2.47835i	−0.123946	+	0.108475i
$523$	15.9435			0.697162			0.348581	−	0.937279i	$-0.386664\pi$
$523$	15.9435			0.697162			0.348581	+	0.937279i	$0.386664\pi$
$524$	5.85797	−	4.89196i	0.255906	−	0.213706i
$525$	10.3250	−	1.16335i	0.450621	−	0.0507728i
$526$	5.63413	−	6.44969i	0.245660	−	0.281220i
$527$	20.0799	+	9.66998i	0.874695	+	0.421231i
$528$	−39.1586	−	16.7244i	−1.70416	−	0.727835i
$529$	3.80455	−	4.77075i	0.165415	−	0.207424i
$530$	23.1546	+	9.28612i	1.00577	+	0.403363i
$531$	−5.66457	+	1.29290i	−0.245821	+	0.0561071i
$532$	−38.5836	+	9.72790i	−1.67281	+	0.421758i
$533$	−0.568169	+	0.357005i	−0.0246102	+	0.0154636i
$534$	7.52669	−	10.8657i	0.325712	−	0.470206i
$535$	−1.52891	+	6.69858i	−0.0661004	+	0.289605i
$536$	−40.0129	+	8.20134i	−1.72830	+	0.354244i
$537$	36.4264	+	12.7462i	1.57192	+	0.550038i
$538$	−1.28842	+	28.7332i	−0.0555476	+	1.23878i
$539$	7.23206	−	7.23206i	0.311507	−	0.311507i
$540$	19.5445	+	14.8769i	0.841059	+	0.640200i
$541$	−0.660646	+	5.86340i	−0.0284034	+	0.252087i	0.971484	+	0.237104i	$0.0761981\pi$
$541$	−0.660646	+	5.86340i	−0.0284034	+	0.252087i	−0.999888	+	0.0149834i	$0.995230\pi$
$542$	−13.1294	−	30.7118i	−0.563955	−	1.31918i
$543$	−1.55640	+	2.47700i	−0.0667916	+	0.106298i
$544$	3.34205	+	14.6191i	0.143289	+	0.626790i
$545$	−2.75613	+	1.32728i	−0.118060	+	0.0568546i
$546$	1.95048	−	7.06933i	0.0834730	−	0.302539i
$547$	−8.67430	−	10.8772i	−0.370886	−	0.465077i	0.561006	−	0.827812i	$-0.310414\pi$
$547$	−8.67430	−	10.8772i	−0.370886	−	0.465077i	−0.931892	+	0.362735i	$0.881843\pi$
$548$	−23.2546	+	11.8529i	−0.993387	+	0.506329i
$549$	−2.68716	+	0.940277i	−0.114685	+	0.0401301i
$550$	−14.8517	+	2.69624i	−0.633277	+	0.114968i
$551$	4.82124	−	35.8022i	0.205392	−	1.52523i
$552$	18.6549	−	11.1510i	0.794004	−	0.474619i
$553$	−5.63669	+	1.97236i	−0.239697	+	0.0838735i
$554$	4.59453	+	15.2967i	0.195203	+	0.649893i
$555$	−16.6333	+	13.2646i	−0.706044	+	0.563051i
$556$	0.827798	−	9.21188i	0.0351065	−	0.390671i
$557$	25.7731	−	12.4116i	1.09204	−	0.525898i	0.200892	−	0.979613i	$-0.435616\pi$
$557$	25.7731	−	12.4116i	1.09204	−	0.525898i	0.891147	+	0.453715i	$0.149902\pi$
$558$	−2.78357	+	5.17360i	−0.117838	+	0.219016i
$559$	−1.82602	−	1.14737i	−0.0772325	−	0.0485284i
$560$	18.2754	−	25.1685i	0.772275	−	1.06357i
$561$	3.15966	−	28.0427i	0.133401	−	1.18397i
$562$	−8.92840	+	8.16206i	−0.376622	+	0.344296i
$563$	18.0288	+	18.0288i	0.759822	+	0.759822i	0.976290	−	0.216468i	$-0.0694536\pi$
$563$	18.0288	+	18.0288i	0.759822	+	0.759822i	−0.216468	+	0.976290i	$0.569454\pi$
$564$	4.98615	+	36.7709i	0.209955	+	1.54834i
$565$	22.2139	+	7.77300i	0.934548	+	0.327012i
$566$	−4.06623	+	25.6847i	−0.170916	+	1.07961i
$567$	29.6032	+	6.75674i	1.24322	+	0.283756i
$568$	1.66900	−	6.62940i	0.0700296	−	0.278164i
$569$	−34.8793	+	21.9161i	−1.46221	+	0.918770i	−0.462736	+	0.886496i	$0.653132\pi$
$569$	−34.8793	+	21.9161i	−1.46221	+	0.918770i	−0.999479	+	0.0322743i	$0.989725\pi$
$570$	46.3898	−	3.13091i	1.94306	−	0.131139i
$571$	4.03513	+	17.6791i	0.168865	+	0.739846i	0.986453	+	0.164043i	$0.0524535\pi$
$571$	4.03513	+	17.6791i	0.168865	+	0.739846i	−0.817588	+	0.575803i	$0.804689\pi$
$572$	−2.13555	+	10.4373i	−0.0892918	+	0.436407i
$573$	−4.50342	+	5.64711i	−0.188133	+	0.235912i
$574$	−2.43414	+	1.76876i	−0.101599	+	0.0738266i
$575$	3.34280	−	6.94139i	0.139404	−	0.289476i
$576$	−3.88922	+	0.707458i	−0.162051	+	0.0294774i
$577$	21.2082	−	2.38959i	0.882910	−	0.0994801i	0.341146	−	0.940010i	$-0.389185\pi$
$577$	21.2082	−	2.38959i	0.882910	−	0.0994801i	0.541765	+	0.840530i	$0.317756\pi$
$578$	12.2654	−	6.96073i	0.510172	−	0.289528i
$579$		−	24.3672i		−	1.01266i
$580$	15.0457	+	23.8963i	0.624741	+	0.992241i
$581$			29.8439i			1.23813i
$582$	−14.2822	−	25.1664i	−0.592017	−	1.04318i
$583$	−38.0750	+	4.29002i	−1.57690	+	0.177674i
$584$	2.25076	+	0.844192i	0.0931372	+	0.0349329i
$585$	−0.525787	+	1.09181i	−0.0217386	+	0.0451407i
$586$	−14.7122	−	20.2467i	−0.607757	−	0.836384i
$587$	7.11526	−	8.92225i	0.293678	−	0.368261i	−0.613001	−	0.790082i	$-0.710038\pi$
$587$	7.11526	−	8.92225i	0.293678	−	0.368261i	0.906679	+	0.421822i	$0.138609\pi$
$588$	1.34589	−	6.57793i	0.0555035	−	0.271269i
$589$	−12.5496	−	54.9832i	−0.517095	−	2.26554i
$590$	2.93589	+	43.5003i	0.120869	+	1.79088i
$591$	42.4042	−	26.6443i	1.74428	−	1.09600i
$592$	−1.16325	+	17.3248i	−0.0478091	+	0.712043i
$593$	−21.4065	−	4.88590i	−0.879061	−	0.200640i	−0.240907	−	0.970548i	$-0.577445\pi$
$593$	−21.4065	−	4.88590i	−0.879061	−	0.200640i	−0.638154	+	0.769908i	$0.720302\pi$
$594$	−37.2606	−	5.89885i	−1.52882	−	0.242033i
$595$	19.4572	+	6.80836i	0.797667	+	0.279116i
$596$	22.3323	−	3.02827i	0.914768	−	0.124043i
$597$	−13.2515	−	13.2515i	−0.542350	−	0.542350i
$598$	−3.66894	−	4.01342i	−0.150034	−	0.164121i
$599$	2.32951	−	20.6750i	0.0951812	−	0.844756i	−0.851887	−	0.523725i	$-0.824542\pi$
$599$	2.32951	−	20.6750i	0.0951812	−	0.844756i	0.947069	−	0.321031i	$-0.104030\pi$
$600$	−7.16082	+	6.84929i	−0.292339	+	0.279621i
$601$	−18.4009	−	11.5620i	−0.750587	−	0.471625i	0.101624	−	0.994823i	$-0.467596\pi$
$601$	−18.4009	−	11.5620i	−0.750587	−	0.471625i	−0.852211	+	0.523198i	$0.824739\pi$
$602$	−8.51589	−	4.58184i	−0.347082	−	0.186742i
$603$	6.42899	−	3.09604i	0.261809	−	0.126080i
$604$	−0.911693	+	10.1455i	−0.0370963	+	0.412813i
$605$	43.9311	−	35.0339i	1.78605	−	1.42433i
$606$	10.0848	−	3.02910i	0.409669	−	0.123049i
$607$	0.412814	−	0.144450i	0.0167556	−	0.00586304i	−0.321888	−	0.946778i	$-0.604318\pi$
$607$	0.412814	−	0.144450i	0.0167556	−	0.00586304i	0.338644	+	0.940915i	$0.390032\pi$
$608$	23.6499	−	29.6771i	0.959130	−	1.20357i
$609$	24.9286	+	16.4273i	1.01016	+	0.665667i
$610$	3.81595	+	21.0193i	0.154503	+	0.851048i
$611$	8.76322	−	3.06638i	0.354522	−	0.124053i
$612$	−1.18972	−	2.33416i	−0.0480915	−	0.0943527i
$613$	−16.5256	−	20.7224i	−0.667463	−	0.836972i	0.326670	−	0.945138i	$-0.394073\pi$
$613$	−16.5256	−	20.7224i	−0.667463	−	0.836972i	−0.994133	+	0.108167i	$0.965502\pi$
$614$	−12.3278	−	3.40135i	−0.497511	−	0.137267i
$615$	3.16770	−	1.52548i	0.127734	−	0.0615134i
$616$	−6.40268	+	47.3404i	−0.257971	+	1.90740i
$617$	−14.7389	+	23.4568i	−0.593365	+	0.944335i	0.406169	+	0.913798i	$0.366865\pi$
$617$	−14.7389	+	23.4568i	−0.593365	+	0.944335i	−0.999534	+	0.0305368i	$0.990278\pi$
$618$	3.88063	−	1.65898i	0.156102	−	0.0667338i
$619$	−3.27434	+	29.0606i	−0.131607	+	1.16804i	0.738176	+	0.674608i	$0.235687\pi$
$619$	−3.27434	+	29.0606i	−0.131607	+	1.16804i	−0.869783	+	0.493434i	$0.835741\pi$
$620$	35.0784	+	26.7011i	1.40878	+	1.07234i
$621$	13.6154	−	13.6154i	0.546367	−	0.546367i
$622$	−29.8604	−	1.33896i	−1.19729	−	0.0536874i
$623$	−13.9972	−	4.89783i	−0.560785	−	0.196227i
$624$	2.60554	+	6.49033i	0.104305	+	0.259821i
$625$	6.86664	−	30.0847i	0.274666	−	1.20339i
$626$	11.5093	+	7.97249i	0.460004	+	0.318645i
$627$	−60.4654	+	37.9929i	−2.41475	+	1.51729i
$628$	11.8419	+	46.9682i	0.472542	+	1.87423i
$629$	−11.2193	+	2.56073i	−0.447342	+	0.102103i
$630$	−2.02265	+	5.04340i	−0.0805842	+	0.200934i
$631$	−19.9637	+	25.0337i	−0.794743	+	0.996576i	0.205098	+	0.978741i	$0.434249\pi$
$631$	−19.9637	+	25.0337i	−0.794743	+	0.996576i	−0.999841	+	0.0178347i	$0.994323\pi$
$632$	3.13649	−	4.75372i	0.124763	−	0.189093i
$633$	32.5241	+	15.6628i	1.29272	+	0.622539i
$634$	−16.7503	−	14.6322i	−0.665239	−	0.581120i
$635$	4.18213	−	0.471213i	0.165963	−	0.0186995i
$636$	−19.3066	+	16.1229i	−0.765558	+	0.639313i
$637$	−1.67988			−0.0665594
$638$	−37.7394	−	21.3717i	−1.49412	−	0.846112i
$639$			1.19430i			0.0472460i
$640$	0.679954	+	29.6553i	0.0268776	+	1.17223i
$641$	2.61923	+	23.2463i	0.103453	+	0.918173i	0.933035	+	0.359787i	$0.117151\pi$
$641$	2.61923	+	23.2463i	0.103453	+	0.918173i	−0.829581	+	0.558386i	$0.811421\pi$
$642$	−5.21729	−	4.55758i	−0.205910	−	0.179873i
$643$	−12.2672	+	25.4731i	−0.483771	+	1.00456i	0.506085	+	0.862484i	$0.331092\pi$
$643$	−12.2672	+	25.4731i	−0.483771	+	1.00456i	−0.989856	+	0.142077i	$0.954622\pi$
$644$	−17.6263	−	16.8478i	−0.694574	−	0.663897i
$645$	8.83436	+	7.04517i	0.347853	+	0.277403i
$646$	23.3427	+	9.36155i	0.918406	+	0.368325i
$647$	−0.637275	−	2.79209i	−0.0250539	−	0.109768i	0.960855	−	0.277052i	$-0.0893575\pi$
$647$	−0.637275	−	2.79209i	−0.0250539	−	0.109768i	−0.985909	+	0.167284i	$0.946500\pi$
$648$	−26.3632	+	11.9813i	−1.03564	+	0.470671i
$649$	−35.6264	−	56.6992i	−1.39846	−	2.22564i
$650$	2.03804	+	1.41175i	0.0799383	+	0.0553732i
$651$	45.4388	+	10.3711i	1.78089	+	0.406476i
$652$	0.670139	+	29.6755i	0.0262447	+	1.16218i
$653$	−4.15931	+	11.8866i	−0.162766	+	0.465159i	−0.996163	−	0.0875156i	$-0.972107\pi$
$653$	−4.15931	+	11.8866i	−0.162766	+	0.465159i	0.833397	+	0.552675i	$0.186393\pi$
$654$	0.138165	−	3.08125i	0.00540269	−	0.120486i
$655$	7.07462	+	7.07462i	0.276428	+	0.276428i
$656$	0.824517	−	2.74853i	0.0321920	−	0.107312i
$657$	−0.417318	−	0.0470205i	−0.0162811	−	0.00183444i
$658$	38.2799	−	16.3647i	1.49230	−	0.637964i
$659$	12.8148	+	8.05208i	0.499194	+	0.313665i	0.757988	−	0.652268i	$-0.226182\pi$
$659$	12.8148	+	8.05208i	0.499194	+	0.313665i	−0.258794	+	0.965932i	$0.583325\pi$
$660$	17.2421	−	53.0907i	0.671148	−	2.06655i
$661$	−12.2455	−	25.4280i	−0.476294	−	0.989035i	−0.991272	−	0.131832i	$-0.957914\pi$
$661$	−12.2455	−	25.4280i	−0.476294	−	0.989035i	0.514978	−	0.857204i	$-0.327800\pi$
$662$	12.8020	−	46.3995i	0.497564	−	1.80337i
$663$	−3.62389	+	2.88995i	−0.140740	+	0.112236i
$664$	−17.2465	−	22.6412i	−0.669293	−	0.878648i
$665$	−17.2285	−	49.2362i	−0.668093	−	1.90930i
$666$	−0.541854	−	2.98469i	−0.0209964	−	0.115654i
$667$	20.1480	−	9.17065i	0.780132	−	0.355089i
$668$	−12.8535	−	34.2336i	−0.497316	−	1.32454i
$669$	5.23786	+	14.9689i	0.202507	+	0.578733i
$670$	−15.4030	−	51.2816i	−0.595071	−	1.98118i
$671$	−20.4571	−	25.6524i	−0.789739	−	0.990302i
$672$	13.6167	+	28.2503i	0.525275	+	1.08978i
$673$	−9.58283	−	19.8989i	−0.369391	−	0.767048i	0.630568	−	0.776134i	$-0.282822\pi$
$673$	−9.58283	−	19.8989i	−0.369391	−	0.767048i	−0.999959	+	0.00908623i	$0.997108\pi$
$674$	−4.91758	−	2.64582i	−0.189418	−	0.101913i
$675$	−4.67074	+	7.43344i	−0.179777	+	0.286113i
$676$	−20.2367	+	13.3621i	−0.778334	+	0.513929i
$677$	6.10650	+	0.688037i	0.234692	+	0.0264434i	0.228527	−	0.973538i	$-0.426609\pi$
$677$	6.10650	+	0.688037i	0.234692	+	0.0264434i	0.00616487	+	0.999981i	$0.498038\pi$
$678$	−17.5138	+	16.0105i	−0.672612	+	0.614880i
$679$	−22.9557	+	22.9557i	−0.880958	+	0.880958i
$680$	−18.6957	+	6.07890i	−0.716948	+	0.233115i
$681$	−5.21149	+	14.8936i	−0.199705	+	0.570724i
$682$	−66.8752	−	10.5872i	−2.56078	−	0.405407i
$683$	7.10831	−	31.1435i	0.271992	−	1.19167i	−0.635666	−	0.771964i	$-0.719274\pi$
$683$	7.10831	−	31.1435i	0.271992	−	1.19167i	0.907658	−	0.419710i	$-0.137868\pi$
$684$	−2.74088	+	6.03645i	−0.104800	+	0.230809i
$685$	−18.2045	−	28.9722i	−0.695557	−	1.10697i
$686$	21.7776	−	1.46980i	0.831474	−	0.0561172i
$687$	−28.2791	+	6.45452i	−1.07891	+	0.246255i
$688$	9.10839	−	1.44521i	0.347254	−	0.0550982i
$689$	4.92032	+	3.92383i	0.187449	+	0.149486i
$690$	16.7484	+	23.0488i	0.637601	+	0.877455i
$691$	18.8471	+	9.07627i	0.716976	+	0.345278i	0.756547	−	0.653939i	$-0.226885\pi$
$691$	18.8471	+	9.07627i	0.716976	+	0.345278i	−0.0395708	+	0.999217i	$0.512599\pi$
$692$	12.8404	−	21.4980i	0.488119	−	0.817230i
$693$	−0.934426	−	8.29326i	−0.0354959	−	0.315035i
$694$	18.7594	−	10.6462i	0.712097	−	0.404123i
$695$	12.1248			0.459922
$696$	−28.4053	+	1.94337i	−1.07670	+	0.0736633i
$697$	1.90178			0.0720352
$698$	3.69412	−	2.09645i	0.139824	−	0.0793520i
$699$	−4.67865	−	41.5241i	−0.176963	−	1.57059i
$700$	9.54424	+	5.70062i	0.360738	+	0.215463i
$701$	−34.6766	−	16.6994i	−1.30972	−	0.630727i	−0.356865	−	0.934156i	$-0.616154\pi$
$701$	−34.6766	−	16.6994i	−1.30972	−	0.630727i	−0.952854	+	0.303429i	$0.901869\pi$
$702$	3.64239	+	5.01259i	0.137473	+	0.189188i
$703$	22.7673	+	18.1563i	0.858683	+	0.684777i
$704$	−22.5001	−	39.6150i	−0.848003	−	1.49305i
$705$	−47.4259	+	10.8246i	−1.78616	+	0.407680i
$706$	5.75462	−	0.388386i	0.216578	−	0.0146171i
$707$	−6.28522	−	10.0029i	−0.236380	−	0.376197i
$708$	−40.0266	−	18.1743i	−1.50429	−	0.683031i
$709$	1.71960	−	7.53405i	0.0645809	−	0.282947i	−0.932318	−	0.361639i	$-0.882217\pi$
$709$	1.71960	−	7.53405i	0.0645809	−	0.282947i	0.996899	+	0.0786919i	$0.0250743\pi$
$710$	8.85167	+	1.40134i	0.332197	+	0.0525913i
$711$	−0.328615	+	0.939126i	−0.0123240	+	0.0352200i
$712$	13.4494	−	4.37306i	0.504038	−	0.163887i
$713$	24.4369	−	24.4369i	0.915169	−	0.915169i
$714$	−15.3403	+	14.0236i	−0.574096	+	0.524820i
$715$	−13.8783	−	1.56371i	−0.519020	−	0.0584795i
$716$	22.7520	+	34.4575i	0.850284	+	1.28774i
$717$	17.1925	−	27.3617i	0.642065	−	1.02184i
$718$	21.1840	+	11.3977i	0.790581	+	0.425359i
$719$	20.4772	+	42.5213i	0.763670	+	1.58578i	0.809704	+	0.586838i	$0.199627\pi$
$719$	20.4772	+	42.5213i	0.763670	+	1.58578i	−0.0460339	+	0.998940i	$0.514658\pi$
$720$	−1.38003	−	4.99505i	−0.0514309	−	0.186155i
$721$	−2.95213	−	3.70186i	−0.109943	−	0.137864i
$722$	−10.5780	−	35.2174i	−0.393671	−	1.31066i
$723$	−6.16580	−	17.6208i	−0.229309	−	0.655326i
$724$	−2.93026	+	1.10021i	−0.108902	+	0.0408890i
$725$	−8.02542	+	6.12049i	−0.298057	+	0.227309i
$726$	10.1199	+	55.7430i	0.375583	+	2.06882i
$727$	−7.50311	−	21.4427i	−0.278275	−	0.795265i	−0.995177	−	0.0980910i	$-0.968726\pi$
$727$	−7.50311	−	21.4427i	−0.278275	−	0.795265i	0.716902	−	0.697174i	$-0.245559\pi$
$728$	6.24179	−	4.75456i	0.231336	−	0.176216i
$729$	−16.5815	+	13.2233i	−0.614128	+	0.489751i
$730$	−0.838157	+	3.03781i	−0.0310216	+	0.112434i
$731$	2.65193	+	5.50680i	0.0980853	+	0.203676i
$732$	−20.4861	−	6.65320i	−0.757188	−	0.245909i
$733$	−37.9818	−	23.8656i	−1.40289	−	0.881494i	−0.403452	−	0.915001i	$-0.632190\pi$
$733$	−37.9818	−	23.8656i	−1.40289	−	0.881494i	−0.999438	+	0.0335066i	$0.989333\pi$
$734$	−40.8309	+	17.4553i	−1.50709	+	0.644287i
$735$	8.74656	+	0.985500i	0.322622	+	0.0363507i
$736$	23.1084	+	2.59559i	0.851787	+	0.0956747i
$737$	58.1512	+	58.1512i	2.14203	+	2.14203i
$738$	−0.0224566	+	0.500809i	−0.000826640	+	0.0184351i
$739$	4.53282	−	12.9541i	0.166743	−	0.476523i	−0.829945	−	0.557845i	$-0.811628\pi$
$739$	4.53282	−	12.9541i	0.166743	−	0.476523i	0.996688	+	0.0813218i	$0.0259142\pi$
$740$	−22.7570	+	0.513904i	−0.836564	+	0.0188915i
$741$	11.4351	+	2.60998i	0.420078	+	0.0958801i
$742$	23.1978	+	16.0691i	0.851619	+	0.589916i
$743$	2.71486	+	4.32068i	0.0995986	+	0.158510i	0.892806	−	0.450441i	$-0.148733\pi$
$743$	2.71486	+	4.32068i	0.0995986	+	0.158510i	−0.793208	+	0.608951i	$0.791590\pi$
$744$	−40.4657	+	18.3905i	−1.48354	+	0.674229i
$745$	6.57420	+	28.8035i	0.240860	+	1.05528i
$746$	−16.4950	−	6.61531i	−0.603927	−	0.242204i
$747$	3.88749	+	3.10017i	0.142236	+	0.113429i
$748$	20.8629	−	21.8269i	0.762823	−	0.798072i
$749$	−3.37220	+	7.00244i	−0.123217	+	0.255864i
$750$	16.3161	+	14.2530i	0.595781	+	0.520446i
$751$	−4.10805	−	36.4600i	−0.149905	−	1.33044i	−0.813156	−	0.582046i	$-0.802252\pi$
$751$	−4.10805	−	36.4600i	−0.149905	−	1.33044i	0.663251	−	0.748397i	$-0.269176\pi$
$752$	−19.5841	+	34.5366i	−0.714160	+	1.25942i
$753$			20.2018i			0.736195i
$754$	1.90097	+	6.86524i	0.0692294	+	0.250017i
$755$	−13.3537			−0.485989
$756$	17.8092	+	21.3260i	0.647716	+	0.775620i
$757$	28.3603	−	3.19544i	1.03077	−	0.116140i	0.419658	−	0.907682i	$-0.362150\pi$
$757$	28.3603	−	3.19544i	1.03077	−	0.116140i	0.611114	+	0.791542i	$0.290722\pi$
$758$	21.5839	+	18.8546i	0.783962	+	0.684832i
$759$	−39.4256	−	18.9864i	−1.43106	−	0.689162i
$760$	41.5235	+	27.3971i	1.50622	+	0.993796i
$761$	−2.21949	+	2.78316i	−0.0804566	+	0.100889i	−0.820431	−	0.571746i	$-0.806266\pi$
$761$	−2.21949	+	2.78316i	−0.0804566	+	0.100889i	0.739974	+	0.672635i	$0.234838\pi$
$762$	−1.57950	+	3.93844i	−0.0572194	+	0.142675i
$763$	−3.37359	+	0.770000i	−0.122132	+	0.0278759i
$764$	−7.49361	+	1.88933i	−0.271109	+	0.0683535i
$765$	2.90806	−	1.82725i	0.105141	−	0.0660645i
$766$	−6.41773	−	4.44556i	−0.231882	−	0.160625i
$767$	−2.44741	+	10.7228i	−0.0883709	+	0.387178i
$768$	−26.6559	−	13.5633i	−0.961861	−	0.489422i
$769$	−32.0474	−	11.2139i	−1.15566	−	0.404382i	−0.316672	−	0.948535i	$-0.602565\pi$
$769$	−32.0474	−	11.2139i	−1.15566	−	0.404382i	−0.838986	+	0.544153i	$0.816851\pi$
$770$	−62.5624	−	2.80534i	−2.25459	−	0.101098i
$771$	21.8515	−	21.8515i	0.786961	−	0.786961i
$772$	15.7910	−	20.7453i	0.568329	−	0.746639i
$773$	−3.81946	+	33.8986i	−0.137376	+	1.21925i	0.716055	+	0.698044i	$0.245946\pi$
$773$	−3.81946	+	33.8986i	−0.137376	+	1.21925i	−0.853432	+	0.521205i	$0.825483\pi$
$774$	−1.48146	+	0.633326i	−0.0532499	+	0.0227644i
$775$	−8.38303	+	13.3415i	−0.301127	+	0.479241i
$776$	4.14956	−	30.6812i	0.148961	−	1.10139i
$777$	−21.6823	+	10.4416i	−0.777847	+	0.374591i
$778$	46.5179	+	12.8347i	1.66775	+	0.460145i
$779$	−3.00051	−	3.76252i	−0.107505	−	0.134806i
$780$	−8.16855	+	4.16351i	−0.292481	+	0.149077i
$781$	−12.9919	+	4.54608i	−0.464888	+	0.162671i
$782$	2.75285	+	15.1635i	0.0984418	+	0.542246i
$783$	−23.9841	+	7.81363i	−0.857121	+	0.279236i
$784$	5.40862	−	4.72801i	0.193165	−	0.168858i
$785$	−59.9358	+	20.9724i	−2.13920	+	0.748538i
$786$	−9.66128	+	2.90188i	−0.344607	+	0.103507i
$787$	−13.6142	+	10.8570i	−0.485294	+	0.387009i	−0.835349	−	0.549720i	$-0.814734\pi$
$787$	−13.6142	+	10.8570i	−0.485294	+	0.387009i	0.350055	+	0.936729i	$0.386163\pi$
$788$	53.3680	+	4.79576i	1.90116	+	0.170842i
$789$	−10.1986	+	4.91139i	−0.363080	+	0.174850i
$790$	6.57482	+	3.53747i	0.233922	+	0.125858i
$791$	22.5413	+	14.1636i	0.801477	+	0.503601i
$792$	5.50148	+	5.75171i	0.195487	+	0.204378i
$793$	−0.603389	+	5.35523i	−0.0214270	+	0.190170i
$794$	−12.8732	−	14.0819i	−0.456853	−	0.499748i
$795$	−23.3165	−	23.3165i	−0.826951	−	0.826951i
$796$	−2.69430	−	19.8694i	−0.0954969	−	0.704253i
$797$	7.21132	+	2.52335i	0.255438	+	0.0893817i	0.454961	−	0.890512i	$-0.349653\pi$
$797$	7.21132	+	2.52335i	0.255438	+	0.0893817i	−0.199522	+	0.979893i	$0.563939\pi$
$798$	51.9475	+	8.22398i	1.83892	+	0.291126i
$799$	−25.6533	−	5.85519i	−0.907548	−	0.207142i
$800$	−10.5351	+	1.19071i	−0.372472	+	0.0420980i
$801$	−2.09201	+	1.31450i	−0.0739176	+	0.0464455i
$802$	2.05824	+	30.4963i	0.0726788	+	1.07686i
$803$	−1.07701	−	4.71868i	−0.0380067	−	0.166518i
$804$	52.8915	+	10.8219i	1.86534	+	0.381661i
$805$	19.9297	−	24.9910i	0.702428	−	0.880817i
$806$	6.53736	+	8.99659i	0.230269	+	0.316891i
$807$	16.4949	−	34.2519i	0.580646	−	1.20572i
$808$	10.5488	+	3.95655i	0.371107	+	0.139191i
$809$	2.79412	−	0.314822i	0.0982360	−	0.0110685i	−0.0627096	−	0.998032i	$-0.519974\pi$
$809$	2.79412	−	0.314822i	0.0982360	−	0.0110685i	0.160946	+	0.986963i	$0.448546\pi$
$810$	−18.7369	−	33.0160i	−0.658349	−	1.16006i
$811$		−	32.3338i		−	1.13539i	−0.823238	−	0.567696i	$-0.807835\pi$
$811$		−	32.3338i		−	1.13539i	0.823238	−	0.567696i	$-0.192165\pi$
$812$	10.5777	+	30.1404i	0.371205	+	1.05772i
$813$			44.1477i			1.54833i
$814$	30.4056	−	17.2555i	1.06572	−	0.604806i
$815$	−38.6679	+	4.35683i	−1.35448	+	0.152613i
$816$	3.53388	−	19.5040i	0.123710	−	0.682777i
$817$	6.71070	−	13.9349i	0.234778	−	0.487521i
$818$	−1.32642	+	0.963843i	−0.0463773	+	0.0337000i
$819$	−0.854664	+	1.07171i	−0.0298644	+	0.0374487i
$820$	3.68543	+	0.754064i	0.128701	+	0.0263331i
$821$	1.68108	+	7.36529i	0.0586700	+	0.257050i	0.995754	−	0.0920537i	$-0.0293431\pi$
$821$	1.68108	+	7.36529i	0.0586700	+	0.257050i	−0.937084	+	0.349104i	$0.886486\pi$
$822$	34.4212	−	2.32313i	1.20058	−	0.0810285i
$823$	−9.17550	+	5.76535i	−0.319838	+	0.200967i	−0.682376	−	0.731002i	$-0.739053\pi$
$823$	−9.17550	+	5.76535i	−0.319838	+	0.200967i	0.362538	+	0.931969i	$0.381910\pi$
$824$	4.37891	+	1.10242i	0.152546	+	0.0384046i
$825$	19.4511	+	4.43958i	0.677199	+	0.154566i
$826$	−7.71173	+	48.7118i	−0.268325	+	1.69490i
$827$	48.4051	+	16.9377i	1.68321	+	0.588981i	0.991137	−	0.132846i	$-0.0424116\pi$
$827$	48.4051	+	16.9377i	1.68321	+	0.588981i	0.692074	+	0.721827i	$0.256697\pi$
$828$	−4.02561	+	0.545874i	−0.139900	+	0.0189704i
$829$	8.97497	+	8.97497i	0.311714	+	0.311714i	0.845573	−	0.533860i	$-0.179259\pi$
$829$	8.97497	+	8.97497i	0.311714	+	0.311714i	−0.533860	+	0.845573i	$0.679259\pi$
$830$	27.5385	−	25.1748i	0.955875	−	0.873829i
$831$	2.36368	−	20.9782i	0.0819950	−	0.727726i
$832$	−1.98775	+	7.21412i	−0.0689127	+	0.250105i
$833$	4.03131	+	2.53304i	0.139677	+	0.0877646i
$834$	−5.79230	+	10.7657i	−0.200571	+	0.372785i
$835$	43.1898	−	20.7991i	1.49464	−	0.719783i
$836$	−76.0990	−	6.83841i	−2.63194	−	0.236511i
$837$	−30.7882	+	24.5528i	−1.06420	+	0.848669i
$838$	3.54266	+	11.7946i	0.122379	+	0.407439i
$839$	53.0318	−	18.5566i	1.83086	−	0.640646i	0.834949	−	0.550327i	$-0.185497\pi$
$839$	53.0318	−	18.5566i	1.83086	−	0.640646i	0.995913	−	0.0903192i	$-0.0287887\pi$
$840$	−35.2881	+	21.0936i	−1.21755	+	0.727798i
$841$	−28.9728	−	1.25578i	−0.999062	−	0.0433028i
$842$	28.7330	−	5.21633i	0.990205	−	0.179767i
$843$	15.0920	−	5.28093i	0.519797	−	0.181885i
$844$	17.5396	+	34.4117i	0.603739	+	1.18450i
$845$	−19.8210	−	24.8548i	−0.681863	−	0.855029i
$846$	1.84481	−	6.68631i	0.0634258	−	0.229880i
$847$	57.2662	−	27.5780i	1.96769	−	0.947590i
$848$	−26.8853	+	1.21488i	−0.923243	+	0.0417191i
$849$	18.2870	−	29.1036i	0.627607	−	0.998832i
$850$	−2.76206	−	6.46093i	−0.0947380	−	0.221608i
$851$	−1.99794	+	17.7322i	−0.0684884	+	0.607851i
$852$	−5.47289	+	7.18998i	−0.187498	+	0.246325i
$853$	−11.5062	+	11.5062i	−0.393965	+	0.393965i	−0.876098	−	0.482133i	$-0.839862\pi$
$853$	−11.5062	+	11.5062i	−0.393965	+	0.393965i	0.482133	+	0.876098i	$0.339862\pi$
$854$	−1.08250	+	24.1409i	−0.0370422	+	0.826086i
$855$	−8.20323	−	2.87043i	−0.280544	−	0.0981667i
$856$	−1.48830	−	7.26118i	−0.0508692	−	0.248182i
$857$	3.93583	−	17.2440i	0.134445	−	0.589044i	−0.862154	−	0.506646i	$-0.830885\pi$
$857$	3.93583	−	17.2440i	0.134445	−	0.589044i	0.996600	−	0.0823978i	$-0.0262578\pi$
$858$	8.01841	−	11.5756i	0.273744	−	0.395184i
$859$	13.9581	−	8.77044i	0.476243	−	0.299243i	−0.272438	−	0.962173i	$-0.587830\pi$
$859$	13.9581	−	8.77044i	0.476243	−	0.299243i	0.748682	+	0.662930i	$0.230687\pi$
$860$	2.95567	+	11.7230i	0.100788	+	0.399752i
$861$	3.87736	−	0.884982i	0.132140	−	0.0301601i
$862$	32.5750	+	13.0642i	1.10951	+	0.444967i
$863$	−2.49261	+	3.12564i	−0.0848496	+	0.106398i	−0.822444	−	0.568846i	$-0.807390\pi$
$863$	−2.49261	+	3.12564i	−0.0848496	+	0.106398i	0.737595	+	0.675244i	$0.235962\pi$
$864$	−25.8351	−	5.88728i	−0.878927	−	0.200289i
$865$	29.5759	+	14.2430i	1.00561	+	0.484277i
$866$	22.1503	−	25.3566i	0.752697	−	0.861651i
$867$	−18.5235	+	2.08710i	−0.629091	+	0.0708815i
$868$	31.9640	+	38.2759i	1.08493	+	1.29917i
$869$	−11.4669			−0.388988
$870$	−5.87022	−	36.8601i	−0.199019	−	1.24967i
$871$		−	13.5075i		−	0.457684i
$872$	2.11441	−	2.53372i	0.0716030	−	0.0858027i
$873$	0.605599	+	5.37484i	0.0204964	+	0.181911i
$874$	25.6565	−	29.3703i	0.867843	−	0.993465i
$875$	10.5459	−	21.8989i	0.356518	−	0.740317i
$876$	−2.29688	−	2.19543i	−0.0776043	−	0.0741767i
$877$	−27.3582	−	21.8174i	−0.923819	−	0.736721i	0.0411310	−	0.999154i	$-0.486904\pi$
$877$	−27.3582	−	21.8174i	−0.923819	−	0.736721i	−0.964950	+	0.262432i	$0.915475\pi$
$878$	18.6357	−	46.4675i	0.628924	−	1.56820i
$879$	7.36113	+	32.2512i	0.248285	+	1.08781i
$880$	49.0843	−	34.0258i	1.65463	−	1.14701i
$881$	−3.27156	−	5.20666i	−0.110222	−	0.175417i	0.787058	−	0.616878i	$-0.211603\pi$
$881$	−3.27156	−	5.20666i	−0.110222	−	0.175417i	−0.897280	+	0.441462i	$0.854460\pi$
$882$	−0.714645	+	1.03168i	−0.0240633	+	0.0347385i
$883$	−3.62719	−	0.827882i	−0.122065	−	0.0278604i	0.161052	−	0.986946i	$-0.448511\pi$
$883$	−3.62719	−	0.827882i	−0.122065	−	0.0278604i	−0.283117	+	0.959085i	$0.591368\pi$
$884$	−4.95805	+	0.111964i	−0.166757	+	0.00376576i
$885$	19.0333	−	54.3942i	0.639799	−	1.82844i
$886$	−0.428259	−	0.0192034i	−0.0143876	−	0.000645152i
$887$	15.4901	+	15.4901i	0.520107	+	0.520107i	0.917604	−	0.397497i	$-0.130121\pi$
$887$	15.4901	+	15.4901i	0.520107	+	0.520107i	−0.397497	+	0.917604i	$0.630121\pi$
$888$	10.4152	−	20.4515i	0.349512	−	0.686308i
$889$	4.73073	+	0.533025i	0.158663	+	0.0178771i
$890$	7.28783	+	17.0475i	0.244288	+	0.571432i
$891$	49.3683	+	31.0202i	1.65390	+	1.03922i
$892$	−5.24120	+	16.1384i	−0.175488	+	0.540352i
$893$	28.8901	+	59.9909i	0.966770	+	2.00752i
$894$	−28.7153	−	7.92279i	−0.960384	−	0.264978i
$895$	−42.3208	+	33.7497i	−1.41463	+	1.12813i
$896$	−6.71468	+	32.8755i	−0.224322	+	1.09829i
$897$	2.37384	+	6.78404i	0.0792602	+	0.226513i
$898$	−9.98949	+	1.81354i	−0.333354	+	0.0605186i
$899$	−43.0466	+	14.0239i	−1.43568	+	0.467723i
$900$	1.73402	−	0.651061i	0.0578005	−	0.0217020i
$901$	−5.89097	−	16.8354i	−0.196257	−	0.560869i
$902$	−5.53341	+	1.66202i	−0.184242	+	0.0553393i
$903$	7.96932	+	9.99321i	0.265202	+	0.332553i
$904$	−25.2860	+	2.28108i	−0.841001	+	0.0758676i
$905$	−1.78033	−	3.69688i	−0.0591800	−	0.122889i
$906$	6.37934	−	11.8568i	0.211939	−	0.393914i
$907$	−9.89198	+	15.7430i	−0.328458	+	0.522738i	−0.969604	−	0.244682i	$-0.921317\pi$
$907$	−9.89198	+	15.7430i	−0.328458	+	0.522738i	0.641146	+	0.767419i	$0.278459\pi$
$908$	−14.0886	+	9.30257i	−0.467545	+	0.308717i
$909$	−1.95588	−	0.220375i	−0.0648726	−	0.00730939i
$910$	6.94027	+	7.59190i	0.230068	+	0.251669i
$911$	13.5082	−	13.5082i	0.447547	−	0.447547i	−0.446991	−	0.894538i	$-0.647505\pi$
$911$	13.5082	−	13.5082i	0.447547	−	0.447547i	0.894538	+	0.446991i	$0.147505\pi$
$912$	−44.1626	+	23.7807i	−1.46237	+	0.787457i
$913$	−18.9268	+	54.0897i	−0.626386	+	1.79011i
$914$	2.84771	−	17.9878i	0.0941939	−	0.594983i
$915$	6.28327	−	27.5288i	0.207719	−	0.910074i
$916$	−28.2586	−	12.8309i	−0.933689	−	0.423946i
$917$	6.02124	+	9.58275i	0.198839	+	0.316450i
$918$	−1.18253	−	17.5212i	−0.0390293	−	0.578287i
$919$	57.3548	−	13.0909i	1.89196	−	0.431828i	0.892158	−	0.451724i	$-0.149191\pi$
$919$	57.3548	−	13.0909i	1.89196	−	0.431828i	0.999802	+	0.0198960i	$0.00633353\pi$
$920$	−0.677675	+	30.4766i	−0.0223423	+	1.00478i
$921$	13.2156	+	10.5391i	0.435468	+	0.347274i
$922$	−7.83294	+	5.69179i	−0.257964	+	0.187449i
$923$	2.03689	+	0.980914i	0.0670450	+	0.0322872i
$924$	32.3783	−	54.2092i	1.06517	−	1.78335i
$925$	−0.910927	−	8.08470i	−0.0299511	−	0.265823i
$926$	0.540811	+	0.952952i	0.0177722	+	0.0313160i
$927$	−0.788872			−0.0259099
$928$	−25.4426	−	16.7533i	−0.835194	−	0.549955i
$929$	42.7181			1.40153			0.700767	−	0.713390i	$-0.252841\pi$
$929$	42.7181			1.40153			0.700767	+	0.713390i	$0.252841\pi$
$930$	−28.7599	−	50.6772i	−0.943074	−	1.66177i
$931$	−1.34893	−	11.9721i	−0.0442094	−	0.392369i
$932$	22.9262	−	38.3840i	0.750972	−	1.25731i
$933$	35.5955	+	17.1419i	1.16535	+	0.561201i
$934$	9.15012	−	6.64892i	0.299401	−	0.217559i
$935$	30.9467	+	24.6792i	1.01207	+	0.807096i
$936$	0.0290614	−	1.30696i	0.000949903	−	0.0427193i
$937$	43.5879	−	9.94865i	1.42395	−	0.325008i	0.559964	−	0.828517i	$-0.310815\pi$
$937$	43.5879	−	9.94865i	1.42395	−	0.325008i	0.863990	+	0.503509i	$0.167958\pi$
$938$	−4.07858	−	60.4312i	−0.133170	−	1.97315i
$939$	−9.84573	−	15.6694i	−0.321303	−	0.511351i
$940$	−47.3914	−	21.5183i	−1.54574	−	0.701849i
$941$	−5.45696	+	23.9085i	−0.177892	+	0.779395i	0.804710	+	0.593669i	$0.202321\pi$
$941$	−5.45696	+	23.9085i	−0.177892	+	0.779395i	−0.982601	+	0.185727i	$0.940536\pi$
$942$	10.0111	−	63.2362i	0.326180	−	2.06035i
$943$	0.973982	−	2.78348i	0.0317172	−	0.0906426i
$944$	−22.2995	−	41.4118i	−0.725785	−	1.34784i
$945$	−25.7553	+	25.7553i	−0.837819	+	0.837819i
$946$	−12.5286	−	13.7049i	−0.407340	−	0.445585i
$947$	30.6734	+	3.45607i	0.996753	+	0.112307i	0.595242	−	0.803547i	$-0.297056\pi$
$947$	30.6734	+	3.45607i	0.996753	+	0.112307i	0.401512	+	0.915854i	$0.368485\pi$
$948$	−6.28187	+	4.14787i	−0.204026	+	0.134717i
$949$	−0.422948	+	0.673118i	−0.0137295	+	0.0218503i
$950$	−8.42462	+	15.6582i	−0.273331	+	0.508018i
$951$	12.7552	+	26.4865i	0.413616	+	0.858882i
$952$	−22.1480	+	1.99800i	−0.717822	+	0.0647554i
$953$	12.0259	+	15.0800i	0.389557	+	0.488490i	0.937480	−	0.348040i	$-0.113153\pi$
$953$	12.0259	+	15.0800i	0.389557	+	0.488490i	−0.547922	+	0.836529i	$0.684581\pi$
$954$	4.50295	−	1.35251i	0.145788	−	0.0437892i
$955$	−3.34608	−	9.56255i	−0.108277	−	0.309437i
$956$	32.3686	−	12.1532i	1.04687	−	0.393064i
$957$	34.7631	+	45.5827i	1.12373	+	1.47348i
$958$	−28.7688	+	5.22283i	−0.929478	+	0.168742i
$959$	−12.7835	−	36.5333i	−0.412802	−	1.17972i
$960$	14.5817	−	36.3953i	0.470621	−	1.17465i
$961$	−31.0219	+	24.7392i	−1.00071	+	0.798038i
$962$	−5.53543	−	1.52727i	−0.178469	−	0.0492411i
$963$	0.561840	+	1.16667i	0.0181051	+	0.0375955i
$964$	6.16973	−	18.9974i	0.198714	−	0.611866i
$965$	28.9394	+	18.1838i	0.931591	+	0.585357i
$966$	12.6688	+	29.6343i	0.407610	+	0.953470i
$967$	19.8071	+	2.23172i	0.636952	+	0.0717673i	0.424535	−	0.905412i	$-0.360438\pi$
$967$	19.8071	+	2.23172i	0.636952	+	0.0717673i	0.212417	+	0.977179i	$0.431866\pi$
$968$	−27.5082	+	54.0156i	−0.884147	+	1.73613i
$969$	−23.5059	−	23.5059i	−0.755118	−	0.755118i
$970$	40.5466	+	1.81814i	1.30187	+	0.0583768i
$971$	14.0961	−	40.2843i	0.452365	−	1.29278i	−0.461636	−	0.887070i	$-0.652737\pi$
$971$	14.0961	−	40.2843i	0.452365	−	1.29278i	0.914000	−	0.405714i	$-0.132977\pi$
$972$	10.1685	−	0.229627i	0.326154	−	0.00736529i
$973$	13.3715	+	3.05195i	0.428669	+	0.0978410i
$974$	−25.1385	+	36.2907i	−0.805490	+	1.16283i
$975$	−1.74345	−	2.77469i	−0.0558352	−	0.0888612i
$976$	−13.1295	−	18.9401i	−0.420266	−	0.606259i
$977$	−3.98087	−	17.4413i	−0.127359	−	0.557998i	−0.997834	−	0.0657844i	$-0.979045\pi$
$977$	−3.98087	−	17.4413i	−0.127359	−	0.557998i	0.870474	−	0.492214i	$-0.163812\pi$
$978$	14.6041	−	36.4147i	0.466987	−	1.16441i
$979$	−22.2626	−	17.7538i	−0.711516	−	0.567415i
$980$	6.80784	+	6.50716i	0.217469	+	0.207864i
$981$	−0.250146	+	0.519433i	−0.00798654	+	0.0165842i
$982$	−29.9371	+	34.2706i	−0.955333	+	1.09362i
$983$	4.83367	+	42.9000i	0.154170	+	1.36830i	0.797782	+	0.602946i	$0.206007\pi$
$983$	4.83367	+	42.9000i	0.154170	+	1.36830i	−0.643612	+	0.765352i	$0.722565\pi$
$984$	−2.43015	+	2.91208i	−0.0774703	+	0.0928336i
$985$			70.2440i			2.23816i
$986$	5.78999	−	19.3413i	0.184391	−	0.615953i
$987$	−55.0266			−1.75152
$988$	8.04401	+	9.63246i	0.255914	+	0.306449i
$989$	9.41800	−	1.06115i	0.299475	−	0.0337427i
$990$	−6.86437	+	7.85800i	−0.218164	+	0.249744i
$991$	−45.7510	−	22.0325i	−1.45333	−	0.699886i	−0.470159	−	0.882582i	$-0.655803\pi$
$991$	−45.7510	−	22.0325i	−1.45333	−	0.699886i	−0.983169	+	0.182696i	$0.941518\pi$
$992$	−46.3688	−	10.5665i	−1.47221	−	0.335486i
$993$	−39.6669	+	49.7408i	−1.25879	+	1.57848i
$994$	9.40902	+	3.77347i	0.298436	+	0.119687i
$995$	25.6269	−	5.84917i	0.812427	−	0.185431i
$996$	9.19704	+	36.4780i	0.291419	+	1.15585i
$997$	4.33204	−	2.72200i	0.137197	−	0.0862066i	−0.461685	−	0.887044i	$-0.652755\pi$
$997$	4.33204	−	2.72200i	0.137197	−	0.0862066i	0.598882	+	0.800838i	$0.295612\pi$
$998$	6.06085	−	8.74961i	0.191853	−	0.276964i
$999$	4.52463	−	19.8237i	0.143153	−	0.627194i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.v.a.11.10	✓	336
4.3	odd	2		928.2.bn.a.591.7		336
8.3	odd	2	inner	232.2.v.a.11.16	yes	336
8.5	even	2		928.2.bn.a.591.8		336
29.8	odd	28	inner	232.2.v.a.211.16	yes	336
116.95	even	28		928.2.bn.a.559.8		336
232.37	odd	28		928.2.bn.a.559.7		336
232.211	even	28	inner	232.2.v.a.211.10	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.v.a.11.10	✓	336	1.1	even	1	trivial
232.2.v.a.11.16	yes	336	8.3	odd	2	inner
232.2.v.a.211.10	yes	336	232.211	even	28	inner
232.2.v.a.211.16	yes	336	29.8	odd	28	inner
928.2.bn.a.559.7		336	232.37	odd	28
928.2.bn.a.559.8		336	116.95	even	28
928.2.bn.a.591.7		336	4.3	odd	2
928.2.bn.a.591.8		336	8.5	even	2

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:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.v (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.698011 - 1.22995i) q^{2} +(0.209291 + 1.85751i) q^{3} +(-1.02556 + 1.71704i) q^{4} +(-2.36223 - 1.13759i) q^{5} +(2.13855 - 1.55398i) q^{6} +(-2.31875 - 1.84914i) q^{7} +(2.82773 + 0.0628771i) q^{8} +(-0.481741 + 0.109954i) q^{9} +O(q^{10})\)	\(q+(-0.698011 - 1.22995i) q^{2} +(0.209291 + 1.85751i) q^{3} +(-1.02556 + 1.71704i) q^{4} +(-2.36223 - 1.13759i) q^{5} +(2.13855 - 1.55398i) q^{6} +(-2.31875 - 1.84914i) q^{7} +(2.82773 + 0.0628771i) q^{8} +(-0.481741 + 0.109954i) q^{9} +(0.249682 + 3.69947i) q^{10} +(-3.02984 - 4.82196i) q^{11} +(-3.40405 - 1.54562i) q^{12} +(-0.208139 + 0.911918i) q^{13} +(-0.655842 + 4.14268i) q^{14} +(1.61868 - 4.62593i) q^{15} +(-1.89645 - 3.52186i) q^{16} +(1.87453 - 1.87453i) q^{17} +(0.471499 + 0.515769i) q^{18} +(-6.66614 - 0.751093i) q^{19} +(4.37589 - 2.88937i) q^{20} +(2.94950 - 4.69411i) q^{21} +(-3.81592 + 7.09234i) q^{22} +(-1.78357 - 3.70363i) q^{23} +(0.475022 + 5.26568i) q^{24} +(1.16855 + 1.46532i) q^{25} +(1.26690 - 0.380528i) q^{26} +(1.54707 + 4.42126i) q^{27} +(5.55308 - 2.08498i) q^{28} +(-0.116624 + 5.38390i) q^{29} +(-6.81953 + 1.23805i) q^{30} +(2.77667 + 7.93528i) q^{31} +(-3.00797 + 4.79084i) q^{32} +(8.32270 - 6.63714i) q^{33} +(-3.61403 - 0.997140i) q^{34} +(3.37386 + 7.00588i) q^{35} +(0.305259 - 0.939933i) q^{36} +(-3.67558 - 2.30952i) q^{37} +(3.72923 + 8.72329i) q^{38} +(-1.73745 - 0.195764i) q^{39} +(-6.60820 - 3.36532i) q^{40} +(0.507268 + 0.507268i) q^{41} +(-7.83231 - 0.351206i) q^{42} +(-0.761486 + 2.17620i) q^{43} +(11.3868 - 0.257139i) q^{44} +(1.26306 + 0.288286i) q^{45} +(-3.31033 + 4.77888i) q^{46} +(-5.28080 - 8.40434i) q^{47} +(6.14496 - 4.25976i) q^{48} +(0.399638 + 1.75093i) q^{49} +(0.986609 - 2.46008i) q^{50} +(3.87428 + 3.08964i) q^{51} +(-1.35234 - 1.29261i) q^{52} +(2.91924 - 6.06187i) q^{53} +(4.35807 - 4.98891i) q^{54} +(1.67176 + 14.8373i) q^{55} +(-6.44054 - 5.37467i) q^{56} -12.5396i q^{57} +(6.70334 - 3.61458i) q^{58} +11.7585 q^{59} +(6.28285 + 7.52352i) q^{60} +(5.72525 - 0.645081i) q^{61} +(7.82186 - 8.95409i) q^{62} +(1.32036 + 0.635852i) q^{63} +(7.99209 + 0.355599i) q^{64} +(1.52906 - 1.91738i) q^{65} +(-13.9727 - 5.60373i) q^{66} +(-14.0788 + 3.21338i) q^{67} +(1.29620 + 5.14110i) q^{68} +(6.50622 - 4.08813i) q^{69} +(6.26191 - 9.03986i) q^{70} +(0.537830 - 2.35639i) q^{71} +(-1.36915 + 0.280630i) q^{72} +(0.802203 + 0.280703i) q^{73} +(-0.275001 + 6.13286i) q^{74} +(-2.47727 + 2.47727i) q^{75} +(8.12618 - 10.6757i) q^{76} +(-1.89105 + 16.7836i) q^{77} +(0.971983 + 2.27363i) q^{78} +(1.07128 - 1.70493i) q^{79} +(0.473421 + 10.4768i) q^{80} +(-9.22432 + 4.44220i) q^{81} +(0.269836 - 0.977994i) q^{82} +(-6.27399 - 7.86734i) q^{83} +(5.03507 + 9.87851i) q^{84} +(-6.56052 + 2.29563i) q^{85} +(3.20815 - 0.582422i) q^{86} +(-10.0250 + 0.910171i) q^{87} +(-8.26437 - 13.8257i) q^{88} +(4.71953 - 1.65144i) q^{89} +(-0.527055 - 1.75473i) q^{90} +(2.16889 - 1.72963i) q^{91} +(8.18843 + 0.735829i) q^{92} +(-14.1587 + 6.81847i) q^{93} +(-6.65088 + 12.3615i) q^{94} +(14.8925 + 9.35757i) q^{95} +(-9.52855 - 4.58464i) q^{96} +(1.22559 - 10.8774i) q^{97} +(1.87460 - 1.71370i) q^{98} +(1.98979 + 1.98979i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

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