LMFDB - Embedded newform 232.2.v.a.11.16

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			11.16
Character	$\chi$	$=$	232.11
Dual form			232.2.v.a.211.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.221135 + 1.39682i) q^{2} +(0.209291 + 1.85751i) q^{3} +(-1.90220 + 0.617771i) q^{4} +(2.36223 + 1.13759i) q^{5} +(-2.54832 + 0.703100i) q^{6} +(2.31875 + 1.84914i) q^{7} +(-1.28356 - 2.52041i) q^{8} +(-0.481741 + 0.109954i) q^{9} +O(q^{10})$	\(q+(0.221135 + 1.39682i) q^{2} +(0.209291 + 1.85751i) q^{3} +(-1.90220 + 0.617771i) q^{4} +(2.36223 + 1.13759i) q^{5} +(-2.54832 + 0.703100i) q^{6} +(2.31875 + 1.84914i) q^{7} +(-1.28356 - 2.52041i) q^{8} +(-0.481741 + 0.109954i) q^{9} +(-1.06663 + 3.55116i) q^{10} +(-3.02984 - 4.82196i) q^{11} +(-1.54562 - 3.40405i) q^{12} +(0.208139 - 0.911918i) q^{13} +(-2.07016 + 3.64779i) q^{14} +(-1.61868 + 4.62593i) q^{15} +(3.23672 - 2.35024i) q^{16} +(1.87453 - 1.87453i) q^{17} +(-0.260116 - 0.648590i) q^{18} +(-6.66614 - 0.751093i) q^{19} +(-5.19619 - 0.704605i) q^{20} +(-2.94950 + 4.69411i) q^{21} +(6.06540 - 5.29844i) q^{22} +(1.78357 + 3.70363i) q^{23} +(4.41305 - 2.91171i) q^{24} +(1.16855 + 1.46532i) q^{25} +(1.31981 + 0.0890757i) 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} +(3.99862 + 4.00138i) q^{32} +(8.32270 - 6.63714i) q^{33} +(3.03291 + 2.20386i) q^{34} +(3.37386 + 7.00588i) q^{35} +(0.848441 - 0.506760i) q^{36} +(3.67558 + 2.30952i) q^{37} +(-0.424976 - 9.47747i) q^{38} +(1.73745 + 0.195764i) q^{39} +(-0.164856 - 7.41394i) q^{40} +(0.507268 + 0.507268i) q^{41} +(-7.20905 - 3.08189i) q^{42} +(-0.761486 + 2.17620i) q^{43} +(8.74222 + 7.30058i) q^{44} +(-1.26306 - 0.288286i) q^{45} +(-4.77888 + 3.31033i) q^{46} +(5.28080 + 8.40434i) q^{47} +(5.04301 + 5.52034i) q^{48} +(0.399638 + 1.75093i) q^{49} +(-1.78838 + 1.95629i) q^{50} +(3.87428 + 3.08964i) q^{51} +(0.167434 + 1.86323i) q^{52} +(-2.91924 + 6.06187i) q^{53} +(-5.83359 + 3.13867i) q^{54} +(-1.67176 - 14.8373i) q^{55} +(1.68436 - 8.21770i) q^{56} -12.5396i q^{57} +(7.54612 - 1.02767i) q^{58} +11.7585 q^{59} +(0.221293 - 9.79942i) q^{60} +(-5.72525 + 0.645081i) q^{61} +(10.4701 - 5.63327i) q^{62} +(-1.32036 - 0.635852i) q^{63} +(-4.70497 + 6.47018i) q^{64} +(1.52906 - 1.91738i) q^{65} +(11.1113 + 10.1576i) q^{66} +(-14.0788 + 3.21338i) q^{67} +(-2.40770 + 4.72377i) q^{68} +(-6.50622 + 4.08813i) q^{69} +(-9.03986 + 6.26191i) q^{70} +(-0.537830 + 2.35639i) q^{71} +(0.895472 + 1.07305i) q^{72} +(0.802203 + 0.280703i) q^{73} +(-2.41318 + 5.64483i) q^{74} +(-2.47727 + 2.47727i) q^{75} +(13.1443 - 2.68941i) q^{76} +(1.89105 - 16.7836i) q^{77} +(0.110765 + 2.47020i) q^{78} +(-1.07128 + 1.70493i) q^{79} +(10.3195 - 1.86976i) q^{80} +(-9.22432 + 4.44220i) q^{81} +(-0.596386 + 0.820736i) q^{82} +(-6.27399 - 7.86734i) q^{83} +(2.71066 - 10.7512i) 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} +(0.123375 - 1.82802i) q^{90} +(2.16889 - 1.72963i) q^{91} +(-5.68070 - 5.94319i) q^{92} +(14.1587 - 6.81847i) q^{93} +(-10.5716 + 9.23481i) q^{94} +(-14.8925 - 9.35757i) q^{95} +(-6.59572 + 8.26490i) q^{96} +(1.22559 - 10.8774i) q^{97} +(-2.35735 + 0.945412i) 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 $

$2$	0.221135	+	1.39682i	0.156366	+	0.987699i
$2$	0.221135	+	1.39682i	0.156366	+	0.987699i
$3$	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	$0.782858\pi$
$4$	−1.90220	+	0.617771i	−0.951099	+	0.308885i
$5$	2.36223	+	1.13759i	1.05642	+	0.508745i	0.879706	−	0.475518i	$-0.157739\pi$
$5$	2.36223	+	1.13759i	1.05642	+	0.508745i	0.176713	+	0.984262i	$0.443454\pi$
$6$	−2.54832	+	0.703100i	−1.04035	+	0.287040i
$7$	2.31875	+	1.84914i	0.876407	+	0.698911i	0.954556	−	0.298031i	$-0.0963298\pi$
$7$	2.31875	+	1.84914i	0.876407	+	0.698911i	−0.0781497	+	0.996942i	$0.524901\pi$
$8$	−1.28356	−	2.52041i	−0.453805	−	0.891101i
$9$	−0.481741	+	0.109954i	−0.160580	+	0.0366514i
$10$	−1.06663	+	3.55116i	−0.337299	+	1.12297i
$11$	−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	$-0.507193\pi$
$12$	−1.54562	−	3.40405i	−0.446183	−	0.982665i
$13$	0.208139	−	0.911918i	0.0577275	−	0.252921i	−0.937828	−	0.347101i	$-0.887166\pi$
$13$	0.208139	−	0.911918i	0.0577275	−	0.252921i	0.995555	+	0.0941807i	$0.0300231\pi$
$14$	−2.07016	+	3.64779i	−0.553273	+	0.974912i
$15$	−1.61868	+	4.62593i	−0.417942	+	1.19441i
$16$	3.23672	−	2.35024i	0.809180	−	0.587561i
$17$	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	$0.145820\pi$
$18$	−0.260116	−	0.648590i	−0.0613099	−	0.152874i
$19$	−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	$0.815207\pi$
$20$	−5.19619	−	0.704605i	−1.16190	−	0.157554i
$21$	−2.94950	+	4.69411i	−0.643634	+	1.02434i
$22$	6.06540	−	5.29844i	1.29315	−	1.12963i
$23$	1.78357	+	3.70363i	0.371901	+	0.772259i	0.999983	−	0.00588763i	$-0.00187410\pi$
$23$	1.78357	+	3.70363i	0.371901	+	0.772259i	−0.628082	+	0.778147i	$0.716160\pi$
$24$	4.41305	−	2.91171i	0.900809	−	0.594350i
$25$	1.16855	+	1.46532i	0.233711	+	0.293064i
$26$	1.31981	+	0.0890757i	0.258836	+	0.0174692i
$27$	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	$-0.834792\pi$
$31$	−2.77667	−	7.93528i	−0.498705	−	1.42522i	0.369602	−	0.929190i	$-0.379494\pi$
$32$	3.99862	+	4.00138i	0.706862	+	0.707352i
$33$	8.32270	−	6.63714i	1.44880	−	1.15538i
$34$	3.03291	+	2.20386i	0.520140	+	0.377958i
$35$	3.37386	+	7.00588i	0.570286	+	1.18421i
$36$	0.848441	−	0.506760i	0.141407	−	0.0844601i
$37$	3.67558	+	2.30952i	0.604262	+	0.379683i	0.799140	−	0.601145i	$-0.205288\pi$
$37$	3.67558	+	2.30952i	0.604262	+	0.379683i	−0.194879	+	0.980827i	$0.562431\pi$
$38$	−0.424976	−	9.47747i	−0.0689402	−	1.53745i
$39$	1.73745	+	0.195764i	0.278215	+	0.0313474i
$40$	−0.164856	−	7.41394i	−0.0260660	−	1.17225i
$41$	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	$0.732159\pi$
$42$	−7.20905	−	3.08189i	−1.11238	−	0.475545i
$43$	−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	$0.163394\pi$
$44$	8.74222	+	7.30058i	1.31794	+	1.10060i
$45$	−1.26306	−	0.288286i	−0.188286	−	0.0429751i
$46$	−4.77888	+	3.31033i	−0.704607	+	0.488081i
$47$	5.28080	+	8.40434i	0.770284	+	1.22590i	0.969295	+	0.245902i	$0.0790842\pi$
$47$	5.28080	+	8.40434i	0.770284	+	1.22590i	−0.199011	+	0.979997i	$0.563773\pi$
$48$	5.04301	+	5.52034i	0.727895	+	0.796792i
$49$	0.399638	+	1.75093i	0.0570911	+	0.250132i
$50$	−1.78838	+	1.95629i	−0.252915	+	0.276661i
$51$	3.87428	+	3.08964i	0.542508	+	0.432636i
$52$	0.167434	+	1.86323i	0.0232189	+	0.258384i
$53$	−2.91924	+	6.06187i	−0.400989	+	0.832662i	0.598513	+	0.801113i	$0.295758\pi$
$53$	−2.91924	+	6.06187i	−0.400989	+	0.832662i	−0.999502	+	0.0315494i	$0.989956\pi$
$54$	−5.83359	+	3.13867i	−0.793851	+	0.427118i
$55$	−1.67176	−	14.8373i	−0.225420	−	2.00066i
$56$	1.68436	−	8.21770i	0.225082	−	1.09814i
$57$		−	12.5396i		−	1.66091i
$58$	7.54612	−	1.02767i	0.990854	−	0.134939i
$59$	11.7585			1.53083			0.765415	−	0.643537i	$-0.222534\pi$
$59$	11.7585			1.53083			0.765415	+	0.643537i	$0.222534\pi$
$60$	0.221293	−	9.79942i	0.0285688	−	1.26510i
$61$	−5.72525	+	0.645081i	−0.733043	+	0.0825941i	−0.470592	−	0.882351i	$-0.655960\pi$
$61$	−5.72525	+	0.645081i	−0.733043	+	0.0825941i	−0.262451	+	0.964945i	$0.584531\pi$
$62$	10.4701	−	5.63327i	1.32971	−	0.715427i
$63$	−1.32036	−	0.635852i	−0.166350	−	0.0801098i
$64$	−4.70497	+	6.47018i	−0.588121	+	0.808773i
$65$	1.52906	−	1.91738i	0.189656	−	0.237822i
$66$	11.1113	+	10.1576i	1.36771	+	1.25031i
$67$	−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	$0.772451\pi$
$68$	−2.40770	+	4.72377i	−0.291977	+	0.572841i
$69$	−6.50622	+	4.08813i	−0.783257	+	0.492153i
$70$	−9.03986	+	6.26191i	−1.08047	+	0.748441i
$71$	−0.537830	+	2.35639i	−0.0638287	+	0.279652i	−0.996763	−	0.0803946i	$-0.974382\pi$
$71$	−0.537830	+	2.35639i	−0.0638287	+	0.279652i	0.932934	+	0.360046i	$0.117239\pi$
$72$	0.895472	+	1.07305i	0.105532	+	0.126461i
$73$	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	$0.591305\pi$
$74$	−2.41318	+	5.64483i	−0.280526	+	0.656198i
$75$	−2.47727	+	2.47727i	−0.286051	+	0.286051i
$76$	13.1443	−	2.68941i	1.50776	−	0.308497i
$77$	1.89105	−	16.7836i	0.215505	−	1.91266i
$78$	0.110765	+	2.47020i	0.0125417	+	0.279695i
$79$	−1.07128	+	1.70493i	−0.120528	+	0.191820i	−0.901539	−	0.432698i	$-0.857562\pi$
$79$	−1.07128	+	1.70493i	−0.120528	+	0.191820i	0.781011	+	0.624518i	$0.214704\pi$
$80$	10.3195	−	1.86976i	1.15375	−	0.209045i
$81$	−9.22432	+	4.44220i	−1.02492	+	0.493578i
$82$	−0.596386	+	0.820736i	−0.0658598	+	0.0906351i
$83$	−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	$0.971950\pi$
$84$	2.71066	−	10.7512i	0.295757	−	1.17306i
$85$	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	$0.307483\pi$
$90$	0.123375	−	1.82802i	0.0130049	−	0.192690i
$91$	2.16889	−	1.72963i	0.227362	−	0.181315i
$92$	−5.68070	−	5.94319i	−0.592254	−	0.619621i
$93$	14.1587	−	6.81847i	1.46819	−	0.707042i
$94$	−10.5716	+	9.23481i	−1.09037	+	0.952498i
$95$	−14.8925	−	9.35757i	−1.52794	−	0.960066i
$96$	−6.59572	+	8.26490i	−0.673173	+	0.843533i
$97$	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	$-0.151839\pi$
$98$	−2.35735	+	0.945412i	−0.238128	+	0.0955010i
$99$	1.98979	+	1.98979i	0.199982	+	0.199982i
$100$	−3.12805	−	2.06543i	−0.312805	−	0.206543i
$101$	−3.75976	−	1.31560i	−0.374110	−	0.130907i	0.136674	−	0.990616i	$-0.456359\pi$
$101$	−3.75976	−	1.31560i	−0.374110	−	0.130907i	−0.510783	+	0.859709i	$0.670645\pi$
$102$	−3.45892	+	6.09489i	−0.342484	+	0.603484i
$103$	−1.55646	−	0.355252i	−0.153362	−	0.0350040i	0.145150	−	0.989410i	$-0.453633\pi$
$103$	−1.55646	−	0.355252i	−0.153362	−	0.0350040i	−0.298513	+	0.954406i	$0.596491\pi$
$104$	−2.56557	+	0.645900i	−0.251575	+	0.0633357i
$105$	−12.3074	+	7.73322i	−1.20107	+	0.754685i
$106$	−9.11288	−	2.73716i	−0.885121	−	0.265856i
$107$	−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	$0.969001\pi$
$108$	−5.67416	−	7.45439i	−0.545996	−	0.717299i
$109$	−0.727458	+	0.912203i	−0.0696778	+	0.0873732i	−0.815449	−	0.578829i	$-0.803510\pi$
$109$	−0.727458	+	0.912203i	−0.0696778	+	0.0873732i	0.745771	+	0.666202i	$0.232081\pi$
$110$	20.3553	−	5.61618i	1.94080	−	0.535482i
$111$	−3.52068	+	7.31077i	−0.334168	+	0.693908i
$112$	11.8511	+	0.535522i	1.11982	+	0.0506021i
$113$	−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	$0.603031\pi$
$114$	17.5155	−	2.77294i	1.64048	−	0.259710i
$115$			10.7778i			1.00503i
$116$	3.10417	+	10.3133i	0.288215	+	0.957566i
$117$			0.462194i			0.0427299i
$118$	2.60022	+	16.4245i	0.239370	+	1.51200i
$119$	7.81287	−	0.880299i	0.716205	−	0.0806969i
$120$	13.7369	−	1.85789i	1.25401	−	0.169601i
$121$	−9.29867	+	19.3089i	−0.845333	+	1.75535i
$122$	−2.16711	−	7.85448i	−0.196201	−	0.711111i
$123$	−0.836087	+	1.04842i	−0.0753874	+	0.0945328i
$124$	10.1840	+	13.3791i	0.914547	+	1.20148i
$125$	−1.82365	−	7.98993i	−0.163112	−	0.714641i
$126$	0.596191	−	1.98491i	0.0531129	−	0.176830i
$127$	1.35915	−	0.854011i	0.120605	−	0.0757812i	−0.470379	−	0.882465i	$-0.655883\pi$
$127$	1.35915	−	0.854011i	0.120605	−	0.0757812i	0.590984	+	0.806684i	$0.298740\pi$
$128$	−10.0781	−	5.14120i	−0.890786	−	0.454422i
$129$	−4.20168	−	0.959006i	−0.369937	−	0.0844358i
$130$	3.01636	+	1.71182i	0.264552	+	0.150136i
$131$	−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	$0.660455\pi$
$132$	−11.7312	+	17.7667i	−1.02107	+	1.54639i
$133$	−14.0682	−	14.0682i	−1.21987	−	1.21987i
$134$	−7.60182	−	18.9549i	−0.656697	−	1.63745i
$135$	−1.37505	+	12.2039i	−0.118346	+	1.05035i
$136$	−7.13067	−	2.31853i	−0.611450	−	0.198813i
$137$	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	$0.490335\pi$
$138$	−7.14913	−	8.18398i	−0.608574	−	0.696666i
$139$	−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	$0.419978\pi$
$140$	−10.7458	−	11.2423i	−0.908183	−	0.950149i
$141$	−14.5059	+	11.5681i	−1.22162	+	0.974207i
$142$	−3.41037	−	0.230171i	−0.286192	−	0.0193155i
$143$	−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
$148$	−8.41844	−	2.12250i	−0.691991	−	0.174468i
$149$	7.02571	+	8.80996i	0.575568	+	0.721740i	0.981350	−	0.192230i	$-0.0615720\pi$
$149$	7.02571	+	8.80996i	0.575568	+	0.721740i	−0.405781	+	0.913970i	$0.633001\pi$
$150$	−4.00811	−	2.91249i	−0.327261	−	0.237804i
$151$	−4.58879	+	2.20985i	−0.373431	+	0.179835i	−0.611180	−	0.791492i	$-0.709305\pi$
$151$	−4.58879	+	2.20985i	−0.373431	+	0.179835i	0.237749	+	0.971327i	$0.423590\pi$
$152$	6.66329	+	17.7655i	0.540464	+	1.44097i
$153$	−0.696927	+	1.10915i	−0.0563432	+	0.0896697i
$154$	23.8617	−	1.06998i	1.92283	−	0.0862212i
$155$	2.46795	−	21.9036i	0.198230	−	1.75934i
$156$	−3.42592	+	0.700966i	−0.274293	+	0.0561222i
$157$	−17.1254	+	17.1254i	−1.36676	+	1.36676i	−0.501738	+	0.865020i	$0.667306\pi$
$157$	−17.1254	+	17.1254i	−1.36676	+	1.36676i	−0.865020	+	0.501738i	$0.832694\pi$
$158$	−2.61837	−	1.11936i	−0.208307	−	0.0890516i
$159$	−11.8709	−	4.15382i	−0.941426	−	0.329419i
$160$	4.89370	+	14.0009i	0.386881	+	1.10687i
$161$	−2.71287	+	11.8859i	−0.213804	+	0.936739i
$162$	−8.24476	−	11.9024i	−0.647770	−	0.935138i
$163$	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	$0.123997\pi$
$164$	−1.27830	−	0.651549i	−0.0998184	−	0.0508774i
$165$	27.2104	−	6.21060i	2.11833	−	0.483495i
$166$	9.60183	−	10.5034i	0.745247	−	0.815219i
$167$	11.3996	−	14.2946i	0.882127	−	1.10615i	−0.111537	−	0.993760i	$-0.535577\pi$
$167$	11.3996	−	14.2946i	0.882127	−	1.10615i	0.993664	−	0.112392i	$-0.0358511\pi$
$168$	15.6169	+	1.40882i	1.20487	+	0.108693i
$169$	10.9243	+	5.26088i	0.840332	+	0.404683i
$170$	4.65733	+	8.65621i	0.357201	+	0.663901i
$171$	3.29394	−	0.371138i	0.251894	−	0.0283816i
$172$	0.104104	−	4.60999i	0.00793785	−	0.351509i
$173$	12.5204			0.951906			0.475953	−	0.879471i	$-0.342103\pi$
$173$	12.5204			0.951906			0.475953	+	0.879471i	$0.342103\pi$
$174$	3.48823	+	13.8019i	0.264442	+	1.04632i
$175$			5.55854i			0.420186i
$176$	−21.1395	−	8.48647i	−1.59345	−	0.639692i
$177$	2.46095	+	21.8415i	0.184976	+	1.64171i
$178$	3.35041	+	6.22714i	0.251124	+	0.466744i
$179$	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	$-0.137669\pi$
$180$	2.58069	−	0.231906i	0.192353	−	0.0172853i
$181$	−1.22357	−	0.975762i	−0.0909470	−	0.0725278i	0.576961	−	0.816772i	$-0.304239\pi$
$181$	−1.22357	−	0.975762i	−0.0909470	−	0.0725278i	−0.667908	+	0.744244i	$0.732810\pi$
$182$	2.89560	+	2.64706i	0.214636	+	0.196213i
$183$	−2.39648	−	10.4997i	−0.177153	−	0.776158i
$184$	7.04536	−	9.24915i	0.519391	−	0.681856i
$185$	6.05527	+	9.63690i	0.445192	+	0.708519i
$186$	12.6551	+	18.2693i	0.927920	+	1.33957i
$187$	−14.7185	−	3.35940i	−1.07632	−	0.245663i
$188$	−15.2371	−	12.7244i	−1.11128	−	0.928023i
$189$	−4.58829	+	13.1126i	−0.333749	+	0.953799i
$190$	9.77756	−	22.8714i	0.709339	−	1.65926i
$191$	−2.73230	−	2.73230i	−0.197702	−	0.197702i	0.601312	−	0.799014i	$-0.294645\pi$
$191$	−2.73230	−	2.73230i	−0.197702	−	0.197702i	−0.799014	+	0.601312i	$0.794645\pi$
$192$	−13.0031	−	7.38536i	−0.938418	−	0.532992i
$193$	−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	$0.691160\pi$
$194$	15.4647	−	0.693449i	1.11030	−	0.0497868i
$195$	3.88156	+	2.43895i	0.277964	+	0.174657i
$196$	−1.84186	−	3.08373i	−0.131562	−	0.220266i
$197$	11.6244	+	24.1383i	0.828205	+	1.71979i	0.683044	+	0.730377i	$0.260656\pi$
$197$	11.6244	+	24.1383i	0.828205	+	1.71979i	0.145161	+	0.989408i	$0.453630\pi$
$198$	−2.33937	+	3.21939i	−0.166251	+	0.228792i
$199$	7.83836	−	6.25088i	0.555646	−	0.443113i	−0.304974	−	0.952361i	$-0.598648\pi$
$199$	7.83836	−	6.25088i	0.555646	−	0.443113i	0.860620	+	0.509248i	$0.170076\pi$
$200$	2.19331	−	4.82606i	0.155090	−	0.341254i
$201$	−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
$206$	0.152034	−	2.25265i	0.0105927	−	0.156949i
$207$	−1.26645	−	1.58808i	−0.0880243	−	0.110379i
$208$	−1.46954	−	3.44080i	−0.101894	−	0.238577i
$209$	16.5756	+	34.4195i	1.14656	+	2.38085i
$210$	−13.5235	−	15.4810i	−0.933209	−	1.06829i
$211$	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	$-0.0528879\pi$
$212$	1.80814	−	13.3343i	0.124183	−	0.915804i
$213$	−4.48956	−	0.505852i	−0.307620	−	0.0346604i
$214$	3.43975	−	1.37951i	0.235137	−	0.0943012i
$215$	−4.27442	+	4.27442i	−0.291513	+	0.291513i
$216$	9.15767	−	9.57419i	0.623100	−	0.651441i
$217$	8.23505	−	23.5344i	0.559032	−	1.59762i
$218$	−1.43505	−	0.814406i	−0.0971937	−	0.0551585i
$219$	−0.353514	+	1.54884i	−0.0238882	+	0.104661i
$220$	12.3460	+	27.1907i	0.832370	+	1.83319i
$221$	−1.31926	−	2.09959i	−0.0887429	−	0.141234i
$222$	−10.9904	−	3.30108i	−0.737625	−	0.221554i
$223$	−8.27134	+	1.88788i	−0.553890	+	0.126422i	−0.490299	−	0.871554i	$-0.663112\pi$
$223$	−8.27134	+	1.88788i	−0.553890	+	0.126422i	−0.0635909	+	0.997976i	$0.520255\pi$
$224$	1.87267	+	16.6722i	0.125123	+	1.11396i
$225$	−0.724059	−	0.577418i	−0.0482706	−	0.0384945i
$226$	−3.37632	−	12.2371i	−0.224589	−	0.814002i
$227$	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	$0.552478\pi$
$228$	7.74659	+	23.8528i	0.513030	+	1.57969i
$229$	−1.73742	−	15.4200i	−0.114812	−	1.01898i	−0.910566	−	0.413363i	$-0.864354\pi$
$229$	−1.73742	−	15.4200i	−0.114812	−	1.01898i	0.795755	−	0.605619i	$-0.207074\pi$
$230$	−15.0546	+	2.38334i	−0.992670	+	0.157153i
$231$	31.5713			2.07724
$232$	−13.7194	+	6.61660i	−0.900720	+	0.434401i
$233$	−22.3548			−1.46451			−0.732255	−	0.681030i	$-0.761532\pi$
$233$	−22.3548			−1.46451			−0.732255	+	0.681030i	$0.761532\pi$
$234$	−0.645601	+	0.102207i	−0.0422043	+	0.00668150i
$235$	2.91376	+	25.8603i	0.190073	+	1.68694i
$236$	−22.3671	+	7.26407i	−1.45597	+	0.472851i
$237$	−3.39113	−	1.63308i	−0.220277	−	0.106080i
$238$	2.95732	+	10.7185i	0.191694	+	0.694777i
$239$	13.5159	+	10.7786i	0.874270	+	0.697207i	0.954063	−	0.299605i	$-0.0968548\pi$
$239$	13.5159	+	10.7786i	0.874270	+	0.697207i	−0.0797938	+	0.996811i	$0.525426\pi$
$240$	5.63285	+	18.7772i	0.363599	+	1.21206i
$241$	−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	$0.532813\pi$
$242$	−29.0272	−	8.71867i	−1.86594	−	0.560457i
$243$	−2.70567	−	4.30605i	−0.173569	−	0.276233i
$244$	10.4920	−	4.76396i	0.671685	−	0.304981i
$245$	−1.04780	+	4.59071i	−0.0669414	+	0.293290i
$246$	−1.64934	−	0.936018i	−0.105158	−	0.0596784i
$247$	−2.07242	+	5.92264i	−0.131865	+	0.376849i
$248$	−16.4362	+	17.1837i	−1.04370	+	1.09117i
$249$	13.3005	−	13.3005i	0.842887	−	0.842887i
$250$	10.7572	−	4.31416i	0.680345	−	0.272851i
$251$	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	$0.424922\pi$
$252$	2.90440	+	0.393837i	0.182960	+	0.0248094i
$253$	12.4548	−	19.8217i	0.783027	−	1.24618i
$254$	1.49345	+	1.70963i	0.0937076	+	0.107272i
$255$	5.63719	+	11.7058i	0.353015	+	0.733043i
$256$	4.95270	−	15.2142i	0.309544	−	0.950885i
$257$	−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	$0.958153\pi$
$258$	0.410418	−	6.08105i	0.0255515	−	0.378590i
$259$	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	0.865622	−	0.500698i	$-0.166923\pi$
$263$	−2.00006	−	5.71583i	−0.123329	−	0.352453i	−0.988951	+	0.148245i	$0.952638\pi$
$264$	−27.4110	−	12.4575i	−1.68703	−	0.766708i
$265$	−13.7918	+	10.9986i	−0.847225	+	0.675640i
$266$	16.5398	−	22.7618i	1.01412	−	1.39561i
$267$	4.05531	+	8.42093i	0.248181	+	0.515353i
$268$	24.7955	−	14.8099i	1.51462	−	0.904661i
$269$	17.2206	+	10.8204i	1.04996	+	0.659732i	0.942407	−	0.334468i	$-0.108557\pi$
$269$	17.2206	+	10.8204i	1.04996	+	0.659732i	0.107550	+	0.994200i	$0.465700\pi$
$270$	−17.3508	+	0.778020i	−1.05593	+	0.0473488i
$271$	−23.4692	−	2.64435i	−1.42565	−	0.160633i	−0.634819	−	0.772661i	$-0.718925\pi$
$271$	−23.4692	−	2.64435i	−1.42565	−	0.160633i	−0.790836	+	0.612029i	$0.790354\pi$
$272$	1.66173	−	10.4730i	0.100757	−	0.635016i
$273$	3.66673	+	3.66673i	0.221921	+	0.221921i
$274$	−7.25495	+	16.9705i	−0.438287	+	1.02523i
$275$	3.52519	−	10.0744i	0.212577	−	0.607510i
$276$	9.85060	−	11.7958i	0.592936	−	0.710023i
$277$	11.0106	+	2.51310i	0.661563	+	0.150997i	0.540103	−	0.841599i	$-0.318385\pi$
$277$	11.0106	+	2.51310i	0.661563	+	0.150997i	0.121460	+	0.992596i	$0.461242\pi$
$278$	−3.72407	−	5.37618i	−0.223355	−	0.322442i
$279$	2.21016	+	3.51744i	0.132319	+	0.210584i
$280$	13.3272	−	17.4960i	0.796452	−	1.04558i
$281$	−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	$-0.153550\pi$
$282$	−19.3662	−	17.7040i	−1.15324	−	1.05426i
$283$	−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	$0.898336\pi$
$284$	−0.432647	−	4.81457i	−0.0256729	−	0.285692i
$285$	14.2649	−	29.6213i	0.844978	−	1.75462i
$286$	−3.56929	−	6.63396i	−0.211057	−	0.392274i
$287$	0.238218	+	2.11424i	0.0140616	+	0.124800i
$288$	−2.36627	−	1.48797i	−0.139434	−	0.0876793i
$289$			9.97224i			0.586602i
$290$	18.9947	+	6.15679i	1.11541	+	0.361539i
$291$	20.4613			1.19946
$292$	−1.69936	−	0.0383753i	−0.0994475	−	0.00224575i
$293$	−17.5859	+	1.98146i	−1.02738	+	0.115758i	−0.609534	−	0.792760i	$-0.708643\pi$
$293$	−17.5859	+	1.98146i	−1.02738	+	0.115758i	−0.417846	+	0.908518i	$0.637215\pi$
$294$	−2.24948	−	4.18093i	−0.131192	−	0.243837i
$295$	27.7763	+	13.3764i	1.61720	+	0.778802i
$296$	1.10313	−	12.2284i	0.0641184	−	0.710760i
$297$	16.6318	−	20.8556i	0.965075	−	1.21017i
$298$	−10.7523	+	11.7618i	−0.622863	+	0.681344i
$299$	3.74864	−	0.855602i	0.216789	−	0.0494807i
$300$	3.18188	−	6.24265i	0.183706	−	0.360420i
$301$	−5.78981	+	3.63798i	−0.333719	+	0.209690i
$302$	−4.10150	−	5.92103i	−0.236015	−	0.340717i
$303$	1.65684	−	7.25911i	0.0951832	−	0.417025i
$304$	−23.3417	+	13.2360i	−1.33874	+	0.759135i
$305$	−14.2582	−	4.98915i	−0.816420	−	0.285678i
$306$	−1.70340	−	0.728208i	−0.0973769	−	0.0416289i
$307$	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	$0.166920\pi$
$308$	6.77123	+	33.0939i	0.385827	+	1.88570i
$309$	0.334130	−	2.96548i	0.0190080	−	0.168700i
$310$	31.1411	−	1.39639i	1.76870	−	0.0793096i
$311$	−11.2449	+	17.8961i	−0.637638	+	1.01479i	0.359038	+	0.933323i	$0.383105\pi$
$311$	−11.2449	+	17.8961i	−0.637638	+	1.01479i	−0.996676	+	0.0814716i	$0.974038\pi$
$312$	−1.73671	−	4.63038i	−0.0983220	−	0.262144i
$313$	−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	$0.447409\pi$
$314$	−27.7081	−	20.1341i	−1.56366	−	1.13623i
$315$	−2.39565	−	3.00405i	−0.134980	−	0.169259i
$316$	0.984529	−	3.90492i	0.0553841	−	0.219669i
$317$	−14.8444	+	5.19428i	−0.833745	+	0.291740i	−0.713194	−	0.700967i	$-0.752752\pi$
$317$	−14.8444	+	5.19428i	−0.833745	+	0.291740i	−0.120552	+	0.992707i	$0.538466\pi$
$318$	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
$322$	−17.2023	−	1.16101i	−0.958648	−	0.0647004i
$323$	−13.9039	+	11.0880i	−0.773631	+	0.616950i
$324$	14.8022	−	14.1485i	0.822346	−	0.786026i
$325$	1.57947	−	0.760635i	0.0876135	−	0.0421924i
$326$	13.8084	+	15.8072i	0.764779	+	0.875482i
$327$	−1.84667	−	1.16034i	−0.102121	−	0.0641670i
$328$	0.627419	−	1.92963i	0.0346434	−	0.106546i
$329$	−3.29597	+	29.2526i	−0.181713	+	1.61275i
$330$	14.6923	+	36.6346i	0.808782	+	2.01667i
$331$	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	$0.365062\pi$
$332$	16.7946	+	11.0893i	0.921723	+	0.608607i
$333$	−2.02462	−	0.708445i	−0.110948	−	0.0388226i
$334$	22.4878	+	12.7621i	1.23048	+	0.698311i
$335$	−36.9127	−	8.42508i	−2.01676	−	0.460311i
$336$	1.48559	+	22.1256i	0.0810455	+	1.20705i
$337$	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	$0.287129\pi$
$338$	−4.93273	+	16.4226i	−0.268305	+	0.893274i
$339$	−3.73367	−	16.3583i	−0.202785	−	0.888460i
$340$	−11.0612	+	8.41963i	−0.599880	+	0.456619i
$341$	−29.8507	+	37.4316i	−1.61651	+	2.02704i
$342$	1.24682	+	4.51896i	0.0674201	+	0.244357i
$343$	6.69662	−	13.9057i	0.361584	−	0.750836i
$344$	6.46234	−	0.874016i	0.348426	−	0.0471238i
$345$	−20.0198	+	2.25569i	−1.07783	+	0.121442i
$346$	2.76869	+	17.4887i	0.148846	+	0.940197i
$347$			15.2521i			0.818778i	0.912360	+	0.409389i	$0.134258\pi$
$347$			15.2521i			0.818778i	−0.912360	+	0.409389i	$0.865742\pi$
$348$	−18.5073	+	7.92450i	−0.992097	+	0.424798i
$349$		−	3.00347i		−	0.160772i	−0.996764	−	0.0803860i	$-0.974385\pi$
$349$		−	3.00347i		−	0.160772i	0.996764	−	0.0803860i	$-0.0256153\pi$
$350$	−7.76427	+	1.22919i	−0.415018	+	0.0657029i
$351$	4.35384	−	0.490560i	0.232391	−	0.0261841i
$352$	7.17936	−	31.4047i	0.382661	−	1.67388i
$353$	−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	$0.177473\pi$
$354$	−29.9644	+	8.26742i	−1.59259	+	0.439409i
$355$	−3.95107	+	4.95449i	−0.209701	+	0.262957i
$356$	−7.95728	+	6.05695i	−0.421735	+	0.321018i
$357$	3.27032	+	14.3282i	0.173084	+	0.758329i
$358$	27.9632	+	8.39909i	1.47790	+	0.443905i
$359$	14.4027	−	9.04980i	0.760144	−	0.477630i	−0.0953495	−	0.995444i	$-0.530397\pi$
$359$	14.4027	−	9.04980i	0.760144	−	0.477630i	0.855493	+	0.517814i	$0.173254\pi$
$360$	0.894612	+	3.55347i	0.0471502	+	0.187285i
$361$	25.3496	+	5.78588i	1.33419	+	0.304520i
$362$	1.09239	−	1.92487i	0.0574146	−	0.101169i
$363$	−37.8125	−	13.2312i	−1.98464	−	0.694456i
$364$	−3.05715	+	4.62999i	−0.160238	+	0.242677i
$365$	1.57566	+	1.57566i	0.0824738	+	0.0824738i
$366$	14.1362	−	5.66929i	0.738910	−	0.296339i
$367$	−3.51562	+	31.2020i	−0.183514	+	1.62873i	0.477693	+	0.878527i	$0.341473\pi$
$367$	−3.51562	+	31.2020i	−0.183514	+	1.62873i	−0.661207	+	0.750204i	$0.729955\pi$
$368$	14.4774	+	7.79577i	0.754684	+	0.406382i
$369$	−0.300148	−	0.188596i	−0.0156251	−	0.00981789i
$370$	−12.1220	+	10.5892i	−0.630191	+	0.550504i
$371$	−17.9783	+	8.65789i	−0.933386	+	0.449495i
$372$	−22.7204	+	21.7169i	−1.17800	+	1.12597i
$373$	−9.82512	+	7.83527i	−0.508725	+	0.405695i	−0.843932	−	0.536450i	$-0.819765\pi$
$373$	−9.82512	+	7.83527i	−0.508725	+	0.405695i	0.335207	+	0.942145i	$0.391194\pi$
$374$	1.43769	−	21.3019i	0.0743413	−	1.10150i
$375$	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	$0.567104\pi$
$380$	34.1093	+	8.59981i	1.74977	+	0.441161i
$381$	1.87079	+	2.34589i	0.0958434	+	0.120184i
$382$	3.21232	−	4.42074i	0.164357	−	0.226185i
$383$	−4.97374	+	2.39523i	−0.254146	+	0.122390i	−0.556620	−	0.830767i	$-0.687902\pi$
$383$	−4.97374	+	2.39523i	−0.254146	+	0.122390i	0.302474	+	0.953158i	$0.402188\pi$
$384$	7.44056	−	19.7961i	0.379699	−	1.01022i
$385$	23.5599	−	37.4953i	1.20072	−	1.91094i
$386$	−0.825822	−	18.4168i	−0.0420332	−	0.937390i
$387$	0.127556	−	1.13209i	0.00648406	−	0.0575476i
$388$	4.38842	+	21.4481i	0.222788	+	1.08886i
$389$	24.1280	−	24.1280i	1.22334	−	1.22334i	0.256903	−	0.966437i	$-0.417298\pi$
$389$	24.1280	−	24.1280i	1.22334	−	1.22334i	0.966437	−	0.256903i	$-0.0827019\pi$
$390$	−2.54841	+	5.96117i	−0.129044	+	0.301856i
$391$	10.2859	+	3.59921i	0.520183	+	0.182020i
$392$	3.90010	−	3.25466i	0.196985	−	0.164385i
$393$	1.58726	−	6.95423i	0.0800665	−	0.350794i
$394$	−31.1463	+	21.5750i	−1.56913	+	1.08693i
$395$	−4.47011	+	2.80876i	−0.224916	+	0.141324i
$396$	−5.01422	−	2.55575i	−0.251974	−	0.128431i
$397$	−13.1529	+	3.00205i	−0.660123	+	0.150669i	−0.539442	−	0.842023i	$-0.681365\pi$
$397$	−13.1529	+	3.00205i	−0.660123	+	0.150669i	−0.120681	+	0.992691i	$0.538508\pi$
$398$	10.4647	+	9.56647i	0.524547	+	0.479524i
$399$	23.1875	−	29.0762i	1.16083	−	1.45563i
$400$	7.22614	+	1.99644i	0.361307	+	0.0998221i
$401$	−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	$0.824303\pi$
$402$	33.6178	−	18.0875i	1.67670	−	0.902122i
$403$	−7.81426	+	0.880456i	−0.389256	+	0.0438586i
$404$	7.96454	+	0.179857i	0.396251	+	0.00894823i
$405$	−26.8433			−1.33386
$406$	19.3979	+	11.5710i	0.962701	+	0.574257i
$407$		−	24.7210i		−	1.22537i
$408$	2.81431	−	13.7305i	0.139329	−	0.679762i
$409$	−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	$0.973411\pi$
$410$	−2.34246	+	1.26032i	−0.115686	+	0.0622428i
$411$	−10.5845	+	21.9790i	−0.522096	+	1.08414i
$412$	3.18016	−	0.285775i	0.156675	−	0.0140791i
$413$	27.2651	+	21.7432i	1.34163	+	1.06991i
$414$	1.93820	−	2.12018i	0.0952572	−	0.104201i
$415$	−5.87080	−	25.7216i	−0.288186	−	1.26263i
$416$	4.48120	−	2.81356i	0.219709	−	0.137946i
$417$	−4.59909	−	7.31941i	−0.225218	−	0.358433i
$418$	−44.4124	+	30.7644i	−2.17228	+	1.50474i
$419$	−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	$0.639658\pi$
$420$	18.6337	−	22.3132i	0.909230	−	1.08877i
$421$	6.82007	−	19.4906i	0.332390	−	0.949915i	−0.649483	−	0.760376i	$-0.725015\pi$
$421$	6.82007	−	19.4906i	0.332390	−	0.949915i	0.981873	−	0.189539i	$-0.0606995\pi$
$422$	25.1126	+	10.7357i	1.22246	+	0.522607i
$423$	−3.46807	−	3.46807i	−0.168623	−	0.168623i
$424$	19.0254	−	0.423048i	0.923957	−	0.0205450i
$425$	4.93729	+	0.556299i	0.239494	+	0.0269845i
$426$	−0.286216	−	6.38296i	−0.0138672	−	0.309256i
$427$	−14.4683	−	9.09103i	−0.700170	−	0.439946i
$428$	2.68757	+	4.49965i	0.129909	+	0.217499i
$429$	−4.32024	−	8.97108i	−0.208583	−	0.433128i
$430$	−6.91581	−	5.02536i	−0.333510	−	0.242345i
$431$	19.4030	−	15.4734i	0.934611	−	0.745327i	−0.0325561	−	0.999470i	$-0.510365\pi$
$431$	19.4030	−	15.4734i	0.934611	−	0.745327i	0.967167	+	0.254143i	$0.0817933\pi$
$432$	15.3985	+	10.6744i	0.740859	+	0.513572i
$433$	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
$438$	−2.24163	−	0.151290i	−0.107109	−	0.00722893i
$439$	−22.0724	−	27.6779i	−1.05346	−	1.32099i	−0.945064	−	0.326886i	$-0.894001\pi$
$439$	−22.0724	−	27.6779i	−1.05346	−	1.32099i	−0.108394	−	0.994108i	$-0.534571\pi$
$440$	−35.2503	+	23.2580i	−1.68049	+	1.10878i
$441$	−0.385044	−	0.799552i	−0.0183354	−	0.0380739i
$442$	2.64101	−	2.30705i	0.125620	−	0.109735i
$443$	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	$0.176279\pi$
$444$	2.18066	−	16.0815i	0.103489	−	0.763195i
$445$	13.0273	+	1.46782i	0.617551	+	0.0695813i
$446$	−4.46611	−	11.1361i	−0.211476	−	0.527309i
$447$	−14.8941	+	14.8941i	−0.704468	+	0.704468i
$448$	−22.8740	+	6.30259i	−1.08069	+	0.297769i
$449$	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	$0.0529595\pi$
$450$	0.646432	−	1.13907i	0.0304731	−	0.0536961i
$451$	0.909086	−	3.98297i	0.0428072	−	0.187551i
$452$	16.3464	−	7.42216i	0.768870	−	0.349109i
$453$	−5.06519	−	8.06121i	−0.237984	−	0.378749i
$454$	−3.43411	+	11.4333i	−0.161171	+	0.536590i
$455$	7.09102	−	1.61848i	0.332432	−	0.0758755i
$456$	−31.6049	+	16.0953i	−1.48004	+	0.753729i
$457$	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	$0.616900\pi$
$458$	21.1547	−	5.83675i	0.988495	−	0.272734i
$459$	11.1878	+	5.38778i	0.522204	+	0.251480i
$460$	−6.65819	−	20.5015i	−0.310440	−	0.955885i
$461$	0.766575	+	6.80354i	0.0357029	+	0.316872i	0.998852	+	0.0479040i	$0.0152541\pi$
$461$	0.766575	+	6.80354i	0.0357029	+	0.316872i	−0.963149	+	0.268968i	$0.913317\pi$
$462$	6.98153	+	44.0994i	0.324810	+	2.05169i
$463$	0.774788			0.0360075			0.0180037	−	0.999838i	$-0.494269\pi$
$463$	0.774788			0.0360075			0.0180037	+	0.999838i	$0.494269\pi$
$464$	−12.2760	−	17.7003i	−0.569899	−	0.821714i
$465$	41.2026			1.91073
$466$	−4.94342	−	31.2255i	−0.229000	−	1.44650i
$467$	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	$0.905041\pi$
$468$	−0.285530	−	0.879185i	−0.0131986	−	0.0406404i
$469$	−38.5872	−	18.5826i	−1.78179	−	0.858065i
$470$	−35.4778	+	9.78861i	−1.63647	+	0.451515i
$471$	−35.3948	−	28.2264i	−1.63090	−	1.30060i
$472$	−15.0927	−	29.6363i	−0.694699	−	1.36412i
$473$	12.8007	−	2.92169i	0.588579	−	0.134339i
$474$	1.53122	−	5.09791i	0.0703312	−	0.234155i
$475$	−6.68915	−	10.6457i	−0.306919	−	0.488459i
$476$	−14.3178	+	6.50107i	−0.656256	+	0.297976i
$477$	0.739791	−	3.24124i	0.0338727	−	0.148406i
$478$	−12.0668	+	21.2627i	−0.551924	+	0.972535i
$479$	−6.82856	+	19.5149i	−0.312005	+	0.891659i	0.675954	+	0.736944i	$0.263732\pi$
$479$	−6.82856	+	19.5149i	−0.312005	+	0.891659i	−0.987959	+	0.154715i	$0.950554\pi$
$480$	−24.9826	+	12.0204i	−1.14030	+	0.548651i
$481$	2.87113	−	2.87113i	0.130912	−	0.130912i
$482$	−5.25732	−	13.1089i	−0.239464	−	0.597096i
$483$	−22.6459	−	2.55158i	−1.03042	−	0.116101i
$484$	5.75945	−	42.4738i	0.261793	−	1.93063i
$485$	15.2691	−	24.3006i	0.693333	−	1.10343i
$486$	5.41644	−	4.73154i	0.245695	−	0.214627i
$487$	13.5444	+	28.1252i	0.613755	+	1.27448i	0.943802	+	0.330511i	$0.107221\pi$
$487$	13.5444	+	28.1252i	0.613755	+	1.27448i	−0.330047	+	0.943964i	$0.607065\pi$
$488$	8.97455	+	13.6020i	0.406259	+	0.615734i
$489$	17.2973	+	21.6901i	0.782209	+	0.980860i
$490$	−6.64408	−	0.448418i	−0.300149	−	0.0202574i
$491$	−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
$496$	−27.6372	−	19.1584i	−1.24094	−	0.860238i
$497$	−5.60439	+	4.46935i	−0.251391	+	0.200478i
$498$	21.5196	+	15.6372i	0.964318	+	0.700720i
$499$	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	$0.803263\pi$
$500$	8.40489	+	14.0718i	0.375878	+	0.629312i
$501$	28.9382	+	18.1831i	1.29286	+	0.812360i
$502$	0.684656	+	15.2686i	0.0305577	+	0.681472i
$503$	40.4946	+	4.56264i	1.80556	+	0.203438i	0.949572	−	0.313550i	$-0.101518\pi$
$503$	40.4946	+	4.56264i	1.80556	+	0.203438i	0.855993	+	0.516988i	$0.172947\pi$
$504$	0.0921458	+	4.14401i	0.00410450	+	0.184589i
$505$	−7.38479	−	7.38479i	−0.328619	−	0.328619i
$506$	30.4415	+	13.0138i	1.35329	+	0.578535i
$507$	−7.48575	+	21.3930i	−0.332454	+	0.950098i
$508$	−2.05779	+	2.46414i	−0.0912997	+	0.109329i
$509$	4.75036	+	1.08424i	0.210556	+	0.0480581i	0.326498	−	0.945198i	$-0.394131\pi$
$509$	4.75036	+	1.08424i	0.210556	+	0.0480581i	−0.115942	+	0.993256i	$0.536989\pi$
$510$	−15.1042	+	10.4627i	−0.668826	+	0.463295i
$511$	1.34105	+	2.13427i	0.0593246	+	0.0944145i
$512$	22.3466	+	3.55363i	0.987591	+	0.157050i
$513$	−6.99218	−	30.6347i	−0.308712	−	1.35256i
$514$	15.7749	−	17.2560i	0.695800	−	0.761129i
$515$	−3.27258	−	2.60979i	−0.144207	−	0.115001i
$516$	8.58487	−	0.771454i	0.377928	−	0.0339614i
$517$	24.5254	−	50.9276i	1.07863	−	2.23979i
$518$	−16.0337	+	8.62666i	−0.704479	+	0.379034i
$519$	2.62040	+	23.2567i	0.115023	+	1.02085i
$520$	−6.79522	−	1.39280i	−0.297990	−	0.0610783i
$521$		−	11.2284i		−	0.491923i	−0.969280	−	0.245962i	$-0.920896\pi$
$521$		−	11.2284i		−	0.491923i	0.969280	−	0.245962i	$-0.0791037\pi$
$522$	−3.52228	+	1.32480i	−0.154166	+	0.0579848i
$523$	15.9435			0.697162			0.348581	−	0.937279i	$-0.386664\pi$
$523$	15.9435			0.697162			0.348581	+	0.937279i	$0.386664\pi$
$524$	7.63003	+	0.172303i	0.333319	+	0.00752710i
$525$	−10.3250	+	1.16335i	−0.450621	+	0.0507728i
$526$	7.54169	−	4.05768i	0.328833	−	0.176923i
$527$	−20.0799	−	9.66998i	−0.874695	−	0.421231i
$528$	11.3394	−	41.0429i	0.493482	−	1.78616i
$529$	3.80455	−	4.77075i	0.165415	−	0.207424i
$530$	−18.4129	−	16.8325i	−0.799806	−	0.731157i
$531$	−5.66457	+	1.29290i	−0.245821	+	0.0561071i
$532$	35.4516	+	18.0697i	1.53702	+	0.783419i
$533$	0.568169	−	0.357005i	0.0246102	−	0.0154636i
$534$	−10.8657	+	7.52669i	−0.470206	+	0.325712i
$535$	1.52891	−	6.69858i	0.0661004	−	0.289605i
$536$	26.1699	+	31.3597i	1.13037	+	1.35453i
$537$	36.4264	+	12.7462i	1.57192	+	0.550038i
$538$	−11.3061	+	26.4468i	−0.487439	+	1.14020i
$539$	7.23206	−	7.23206i	0.311507	−	0.311507i
$540$	−4.92361	−	24.0638i	−0.211879	−	1.03554i
$541$	0.660646	−	5.86340i	0.0284034	−	0.252087i	−0.971484	−	0.237104i	$-0.923802\pi$
$541$	0.660646	−	5.86340i	0.0284034	−	0.252087i	0.999888	−	0.0149834i	$-0.00476956\pi$
$542$	−1.49620	−	33.3670i	−0.0642672	−	1.43324i
$543$	1.55640	−	2.47700i	0.0667916	−	0.106298i
$544$	14.9963	+	0.00519116i	0.642960	+	0.000222569i
$545$	−2.75613	+	1.32728i	−0.118060	+	0.0568546i
$546$	−4.31092	+	5.93260i	−0.184490	+	0.253892i
$547$	−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	$0.881843\pi$
$548$	−25.3091	−	6.38106i	−1.08115	−	0.272585i
$549$	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
$554$	−1.07551	+	15.9355i	−0.0456940	+	0.677036i
$555$	−16.6333	+	13.2646i	−0.706044	+	0.563051i
$556$	6.68601	−	6.39071i	0.283550	−	0.271027i
$557$	−25.7731	+	12.4116i	−1.09204	+	0.525898i	−0.891147	−	0.453715i	$-0.850098\pi$
$557$	−25.7731	+	12.4116i	−1.09204	+	0.525898i	−0.200892	+	0.979613i	$0.564384\pi$
$558$	−4.42448	+	3.86501i	−0.187303	+	0.163619i
$559$	1.82602	+	1.14737i	0.0772325	+	0.0485284i
$560$	27.3858	+	14.7467i	1.15726	+	0.623161i
$561$	3.15966	−	28.0427i	0.133401	−	1.18397i
$562$	11.2276	−	4.50283i	0.473610	−	0.189940i
$563$	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	$0.569454\pi$
$564$	20.4467	−	30.9661i	0.860961	−	1.30391i
$565$	−22.2139	−	7.77300i	−0.934548	−	0.327012i
$566$	12.8350	−	22.6164i	0.539497	−	0.950636i
$567$	−29.6032	−	6.75674i	−1.24322	−	0.283756i
$568$	6.62940	−	1.66900i	0.278164	−	0.0700296i
$569$	−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	$0.989725\pi$
$570$	44.5300	+	13.3751i	1.86516	+	0.560222i
$571$	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	$0.804689\pi$
$572$	8.47714	−	6.45265i	0.354447	−	0.269799i
$573$	4.50342	−	5.64711i	0.188133	−	0.235912i
$574$	−2.90053	+	0.800280i	−0.121066	+	0.0334030i
$575$	−3.34280	+	6.94139i	−0.139404	+	0.289476i
$576$	1.55515	−	3.63428i	0.0647981	−	0.151429i
$577$	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	$0.317756\pi$
$578$	−13.9294	+	2.20521i	−0.579387	+	0.0917247i
$579$		−	24.3672i		−	1.01266i
$580$	−4.39952	+	27.8936i	−0.182680	+	1.15822i
$581$		−	29.8439i		−	1.23813i
$582$	4.52471	+	28.5807i	0.187555	+	1.18471i
$583$	38.0750	−	4.29002i	1.57690	−	0.177674i
$584$	−0.322184	−	2.38218i	−0.0133321	−	0.0985753i
$585$	−0.525787	+	1.09181i	−0.0217386	+	0.0451407i
$586$	−6.65659	−	24.1261i	−0.274981	−	0.996641i
$587$	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	$0.138609\pi$
$588$	5.34255	−	4.06666i	0.220323	−	0.167706i
$589$	12.5496	+	54.9832i	0.517095	+	2.26554i
$590$	−12.5420	+	41.7564i	−0.516347	+	1.71908i
$591$	−42.4042	+	26.6443i	−1.74428	+	1.09600i
$592$	17.3248	−	1.16325i	0.712043	−	0.0478091i
$593$	−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	$0.720302\pi$
$594$	32.8094	+	18.6197i	1.34618	+	0.763975i
$595$	19.4572	+	6.80836i	0.797667	+	0.279116i
$596$	−18.8068	−	12.4180i	−0.770358	−	0.508662i
$597$	13.2515	+	13.2515i	0.542350	+	0.542350i
$598$	2.02407	+	5.04696i	0.0827705	+	0.206385i
$599$	−2.32951	+	20.6750i	−0.0951812	+	0.844756i	0.851887	+	0.523725i	$0.175458\pi$
$599$	−2.32951	+	20.6750i	−0.0951812	+	0.844756i	−0.947069	+	0.321031i	$0.895970\pi$
$600$	9.42347	+	3.06404i	0.384712	+	0.125089i
$601$	−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	$0.824739\pi$
$602$	−6.36192	−	7.28282i	−0.259293	−	0.296826i
$603$	6.42899	−	3.09604i	0.261809	−	0.126080i
$604$	7.36362	−	7.03839i	0.299621	−	0.286388i
$605$	−43.9311	+	35.0339i	−1.78605	+	1.42433i
$606$	10.5060	+	0.709066i	0.426779	+	0.0288038i
$607$	−0.412814	+	0.144450i	−0.0167556	+	0.00586304i	−0.338644	−	0.940915i	$-0.609968\pi$
$607$	−0.412814	+	0.144450i	−0.0167556	+	0.00586304i	0.321888	+	0.946778i	$0.395682\pi$
$608$	−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
$612$	0.640492	−	2.54037i	0.0258903	−	0.102688i
$613$	16.5256	+	20.7224i	0.667463	+	0.836972i	0.994133	−	0.108167i	$-0.0344981\pi$
$613$	16.5256	+	20.7224i	0.667463	+	0.836972i	−0.326670	+	0.945138i	$0.605927\pi$
$614$	10.3456	+	7.51758i	0.417513	+	0.303385i
$615$	−3.16770	+	1.52548i	−0.127734	+	0.0615134i
$616$	−44.7288	+	16.7764i	−1.80217	+	0.675940i
$617$	−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	$0.990278\pi$
$618$	4.21613	−	0.189054i	0.169597	−	0.00760486i
$619$	−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	$0.835741\pi$
$620$	8.83689	+	43.1897i	0.354898	+	1.73454i
$621$	−13.6154	+	13.6154i	−0.546367	+	0.546367i
$622$	−27.4842	−	11.7496i	−1.10202	−	0.471115i
$623$	13.9972	+	4.89783i	0.560785	+	0.196227i
$624$	6.08375	−	3.44981i	0.243545	−	0.138103i
$625$	6.86664	−	30.0847i	0.274666	−	1.20339i
$626$	−7.97249	−	11.5093i	−0.318645	−	0.460004i
$627$	−60.4654	+	37.9929i	−2.41475	+	1.51729i
$628$	21.9964	−	43.1555i	0.877751	−	1.72209i
$629$	11.2193	−	2.56073i	0.447342	−	0.102103i
$630$	3.66635	−	4.01059i	0.146071	−	0.159786i
$631$	19.9637	−	25.0337i	0.794743	−	0.996576i	−0.205098	−	0.978741i	$-0.565751\pi$
$631$	19.9637	−	25.0337i	0.794743	−	0.996576i	0.999841	−	0.0178347i	$-0.00567725\pi$
$632$	5.67217	+	0.511693i	0.225627	+	0.0203540i
$633$	32.5241	+	15.6628i	1.29272	+	0.622539i
$634$	−10.5381	−	19.5863i	−0.418521	−	0.777871i
$635$	4.18213	−	0.471213i	0.165963	−	0.0186995i
$636$	25.1470	+	0.567876i	0.997143	+	0.0225177i
$637$	1.67988			0.0665594
$638$	−27.8189	−	33.2734i	−1.10136	−	1.31731i
$639$		−	1.19430i		−	0.0472460i
$640$	−17.9582	−	23.6094i	−0.709859	−	0.933243i
$641$	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	$0.811421\pi$
$642$	3.28235	+	6.10064i	0.129544	+	0.240773i
$643$	−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	$0.954622\pi$
$644$	−2.18232	−	24.2852i	−0.0859955	−	0.956972i
$645$	−8.83436	−	7.04517i	−0.347853	−	0.277403i
$646$	−18.5625	−	16.9692i	−0.730331	−	0.667645i
$647$	0.637275	+	2.79209i	0.0250539	+	0.109768i	0.985909	−	0.167284i	$-0.0534997\pi$
$647$	0.637275	+	2.79209i	0.0250539	+	0.109768i	−0.960855	+	0.277052i	$0.910643\pi$
$648$	23.0361	+	17.5473i	0.904944	+	0.689323i
$649$	−35.6264	−	56.6992i	−1.39846	−	2.22564i
$650$	1.41175	+	2.03804i	0.0553732	+	0.0799383i
$651$	45.4388	+	10.3711i	1.78089	+	0.406476i
$652$	−19.0263	+	22.7834i	−0.745127	+	0.892267i
$653$	4.15931	−	11.8866i	0.162766	−	0.465159i	−0.833397	−	0.552675i	$-0.813607\pi$
$653$	4.15931	−	11.8866i	0.162766	−	0.465159i	0.996163	+	0.0875156i	$0.0278928\pi$
$654$	1.21242	−	2.83606i	0.0474094	−	0.110899i
$655$	−7.07462	−	7.07462i	−0.276428	−	0.276428i
$656$	2.83409	+	0.449680i	0.110653	+	0.0175571i
$657$	−0.417318	−	0.0470205i	−0.0162811	−	0.00183444i
$658$	−41.5893	+	1.86489i	−1.62132	+	0.0727012i
$659$	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	$0.583325\pi$
$660$	−47.9229	+	28.6236i	−1.86540	+	1.11417i
$661$	12.2455	+	25.4280i	0.476294	+	0.989035i	0.991272	+	0.131832i	$0.0420859\pi$
$661$	12.2455	+	25.4280i	0.476294	+	0.989035i	−0.514978	+	0.857204i	$0.672200\pi$
$662$	−28.2947	+	38.9386i	−1.09970	+	1.51339i
$663$	3.62389	−	2.88995i	0.140740	−	0.112236i
$664$	−11.7759	+	25.9112i	−0.456994	+	1.00555i
$665$	−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
$670$	3.60561	−	53.4234i	0.139297	−	2.06393i
$671$	20.4571	+	25.6524i	0.789739	+	0.990302i
$672$	−30.5769	+	6.96783i	−1.17953	+	0.268790i
$673$	−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	$0.997108\pi$
$674$	3.67375	+	4.20553i	0.141508	+	0.161991i
$675$	−4.67074	+	7.43344i	−0.179777	+	0.286113i
$676$	−24.0302	−	3.25851i	−0.924240	−	0.125327i
$677$	−6.10650	−	0.688037i	−0.234692	−	0.0264434i	−0.00616487	−	0.999981i	$-0.501962\pi$
$677$	−6.10650	−	0.688037i	−0.234692	−	0.0264434i	−0.228527	+	0.973538i	$0.573391\pi$
$678$	22.0239	−	8.83265i	0.845823	−	0.339216i
$679$	22.9557	−	22.9557i	0.880958	−	0.880958i
$680$	−14.2067	−	13.5887i	−0.544803	−	0.521102i
$681$	−5.21149	+	14.8936i	−0.199705	+	0.570724i
$682$	−58.8862	−	33.4186i	−2.25487	−	1.27966i
$683$	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	$-0.137868\pi$
$684$	−6.03645	+	2.74088i	−0.230809	+	0.104800i
$685$	18.2045	+	28.9722i	0.695557	+	1.10697i
$686$	20.9046	+	6.27893i	0.798140	+	0.239731i
$687$	28.2791	−	6.45452i	1.07891	−	0.246255i
$688$	2.64989	+	8.83343i	0.101026	+	0.336771i
$689$	4.92032	+	3.92383i	0.187449	+	0.149486i
$690$	−7.57785	−	27.4652i	−0.288484	−	1.04558i
$691$	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	$0.512599\pi$
$692$	−23.8162	+	7.73472i	−0.905357	+	0.294030i
$693$	0.934426	+	8.29326i	0.0354959	+	0.315035i
$694$	−21.3045	+	3.37278i	−0.808706	+	0.128029i
$695$	−12.1248			−0.459922
$696$	−15.1617	−	24.0990i	−0.574703	−	0.913470i
$697$	1.90178			0.0720352
$698$	4.19530	−	0.664172i	0.158794	−	0.0251393i
$699$	−4.67865	−	41.5241i	−0.176963	−	1.57059i
$700$	−3.43390	−	10.5735i	−0.129789	−	0.399639i
$701$	34.6766	+	16.6994i	1.30972	+	0.630727i	0.952854	−	0.303429i	$-0.0981315\pi$
$701$	34.6766	+	16.6994i	1.30972	+	0.630727i	0.356865	+	0.934156i	$0.383846\pi$
$702$	1.64801	+	5.97304i	0.0622001	+	0.225438i
$703$	−22.7673	−	18.1563i	−0.858683	−	0.684777i
$704$	45.4543	+	3.08357i	1.71312	+	0.116217i
$705$	−47.4259	+	10.8246i	−1.78616	+	0.407680i
$706$	−5.52391	−	1.65917i	−0.207895	−	0.0624437i
$707$	−6.28522	−	10.0029i	−0.236380	−	0.376197i
$708$	−18.1743	−	40.0266i	−0.683031	−	1.50429i
$709$	−1.71960	+	7.53405i	−0.0645809	+	0.282947i	−0.996899	−	0.0786919i	$-0.974926\pi$
$709$	−1.71960	+	7.53405i	−0.0645809	+	0.282947i	0.932318	+	0.361639i	$0.117783\pi$
$710$	−7.79423	−	4.42332i	−0.292512	−	0.166004i
$711$	0.328615	−	0.939126i	0.0123240	−	0.0352200i
$712$	−10.2201	−	9.77547i	−0.383014	−	0.366351i
$713$	24.4369	−	24.4369i	0.915169	−	0.915169i
$714$	−19.2907	+	7.73651i	−0.721937	+	0.289532i
$715$	−13.8783	−	1.56371i	−0.519020	−	0.0584795i
$716$	−5.54834	+	40.9169i	−0.207351	+	1.52914i
$717$	−17.1925	+	27.3617i	−0.642065	+	1.02184i
$718$	15.8259	+	18.1167i	0.590616	+	0.676108i
$719$	−20.4772	−	42.5213i	−0.763670	−	1.58578i	−0.809704	−	0.586838i	$-0.800373\pi$
$719$	−20.4772	−	42.5213i	−0.763670	−	1.58578i	0.0460339	−	0.998940i	$-0.485342\pi$
$720$	−4.76573	+	2.03541i	−0.177608	+	0.0758552i
$721$	−2.95213	−	3.70186i	−0.109943	−	0.137864i
$722$	−2.47613	+	36.6882i	−0.0921522	+	1.36539i
$723$	−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	$0.0312736\pi$
$727$	7.50311	+	21.4427i	0.278275	+	0.795265i	−0.716902	+	0.697174i	$0.754441\pi$
$728$	−7.14329	−	3.24643i	−0.264748	−	0.120321i
$729$	−16.5815	+	13.2233i	−0.614128	+	0.489751i
$730$	−1.85248	+	2.54934i	−0.0685632	+	0.0943554i
$731$	2.65193	+	5.50680i	0.0980853	+	0.203676i
$732$	11.0450	+	18.4920i	0.408234	+	0.683484i
$733$	37.9818	+	23.8656i	1.40289	+	0.881494i	0.999438	−	0.0335066i	$-0.0106675\pi$
$733$	37.9818	+	23.8656i	1.40289	+	0.881494i	0.403452	+	0.915001i	$0.367810\pi$
$734$	−44.3609	+	1.98917i	−1.63739	+	0.0734217i
$735$	−8.74656	−	0.985500i	−0.322622	−	0.0363507i
$736$	−7.68781	+	21.9461i	−0.283377	+	0.808945i
$737$	58.1512	+	58.1512i	2.14203	+	2.14203i
$738$	0.197060	−	0.460957i	0.00725389	−	0.0169681i
$739$	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	$0.0259142\pi$
$740$	−17.4717	−	14.5905i	−0.642273	−	0.536359i
$741$	−11.4351	−	2.60998i	−0.420078	−	0.0958801i
$742$	−16.0691	−	23.1978i	−0.589916	−	0.851619i
$743$	−2.71486	−	4.32068i	−0.0995986	−	0.158510i	0.793208	−	0.608951i	$-0.208410\pi$
$743$	−2.71486	−	4.32068i	−0.0995986	−	0.158510i	−0.892806	+	0.450441i	$0.851267\pi$
$744$	−35.3588	−	26.9339i	−1.29632	−	0.987444i
$745$	6.57420	+	28.8035i	0.240860	+	1.05528i
$746$	−13.1171	−	11.9912i	−0.480252	−	0.439031i
$747$	3.88749	+	3.10017i	0.142236	+	0.113429i
$748$	30.0728	−	2.70240i	1.09957	−	0.0988096i
$749$	3.37220	−	7.00244i	0.123217	−	0.255864i
$750$	10.2650	+	19.0787i	0.374823	+	0.696654i
$751$	4.10805	+	36.4600i	0.149905	+	1.33044i	0.813156	+	0.582046i	$0.197748\pi$
$751$	4.10805	+	36.4600i	0.149905	+	1.33044i	−0.663251	+	0.748397i	$0.730824\pi$
$752$	36.8447	+	14.7913i	1.34359	+	0.539384i
$753$			20.2018i			0.736195i
$754$	0.633496	−	7.09534i	0.0230706	−	0.258397i
$755$	−13.3537			−0.485989
$756$	0.627272	−	27.7772i	0.0228137	−	1.01025i
$757$	−28.3603	+	3.19544i	−1.03077	+	0.116140i	−0.611114	−	0.791542i	$-0.709278\pi$
$757$	−28.3603	+	3.19544i	−1.03077	+	0.116140i	−0.419658	+	0.907682i	$0.637850\pi$
$758$	−13.5791	−	25.2383i	−0.493213	−	0.916696i
$759$	39.4256	+	18.9864i	1.43106	+	0.689162i
$760$	−4.46961	+	49.5462i	−0.162130	+	1.79723i
$761$	−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	$0.234838\pi$
$762$	−2.86309	+	3.13191i	−0.103719	+	0.113457i
$763$	−3.37359	+	0.770000i	−0.122132	+	0.0278759i
$764$	6.88532	+	3.50945i	0.249102	+	0.126967i
$765$	−2.90806	+	1.82725i	−0.105141	+	0.0660645i
$766$	−4.44556	−	6.41773i	−0.160625	−	0.231882i
$767$	2.44741	−	10.7228i	0.0883709	−	0.387178i
$768$	29.2969	+	6.01549i	1.05716	+	0.217065i
$769$	−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	$0.816851\pi$
$770$	57.5840	+	24.6173i	2.07518	+	0.887146i
$771$	21.8515	−	21.8515i	0.786961	−	0.786961i
$772$	25.5423	−	5.22612i	0.919287	−	0.188092i
$773$	3.81946	−	33.8986i	0.137376	−	1.21925i	−0.716055	−	0.698044i	$-0.754054\pi$
$773$	3.81946	−	33.8986i	0.137376	−	1.21925i	0.853432	−	0.521205i	$-0.174517\pi$
$774$	1.60954	−	0.0721727i	0.0578536	−	0.00259419i
$775$	8.38303	−	13.3415i	0.301127	−	0.479241i
$776$	−28.9886	+	10.8727i	−1.04063	+	0.390308i
$777$	−21.6823	+	10.4416i	−0.777847	+	0.374591i
$778$	39.0380	+	28.3669i	1.39958	+	1.01700i
$779$	−3.00051	−	3.76252i	−0.107505	−	0.134806i
$780$	−8.89021	−	2.24145i	−0.318321	−	0.0802567i
$781$	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
$786$	10.0648	+	0.679285i	0.358999	+	0.0242293i
$787$	−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	$0.386163\pi$
$788$	−37.0239	−	38.7347i	−1.31892	−	1.37987i
$789$	10.1986	−	4.91139i	0.363080	−	0.174850i
$790$	−4.91182	−	5.62281i	−0.174755	−	0.200051i
$791$	−22.5413	−	14.1636i	−0.801477	−	0.503601i
$792$	2.46109	−	7.56911i	0.0874511	−	0.268957i
$793$	−0.603389	+	5.35523i	−0.0214270	+	0.190170i
$794$	−7.10188	−	17.7083i	−0.252036	−	0.628443i
$795$	−23.3165	−	23.3165i	−0.826951	−	0.826951i
$796$	−11.0485	+	16.7327i	−0.391604	+	0.593076i
$797$	−7.21132	−	2.52335i	−0.255438	−	0.0893817i	0.199522	−	0.979893i	$-0.436061\pi$
$797$	−7.21132	−	2.52335i	−0.255438	−	0.0893817i	−0.454961	+	0.890512i	$0.650347\pi$
$798$	45.7417	+	25.9589i	1.61924	+	0.918937i
$799$	25.6533	+	5.85519i	0.907548	+	0.207142i
$800$	−1.19071	+	10.5351i	−0.0420980	+	0.372472i
$801$	−2.09201	+	1.31450i	−0.0739176	+	0.0464455i
$802$	8.79270	−	29.2737i	0.310481	−	1.03369i
$803$	−1.07701	−	4.71868i	−0.0380067	−	0.166518i
$804$	32.6990	+	42.9581i	1.15320	+	1.51502i
$805$	−19.9297	+	24.9910i	−0.702428	+	0.880817i
$806$	−2.95784	−	10.7204i	−0.104186	−	0.377610i
$807$	−16.4949	+	34.2519i	−0.580646	+	1.20572i
$808$	1.51001	+	11.1648i	0.0531220	+	0.392776i
$809$	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	$0.448546\pi$
$810$	−5.93600	−	37.4952i	−0.208570	−	1.31745i
$811$		−	32.3338i		−	1.13539i	−0.823238	−	0.567696i	$-0.807835\pi$
$811$		−	32.3338i		−	1.13539i	0.823238	−	0.567696i	$-0.192165\pi$
$812$	−11.8730	+	29.6541i	−0.416659	+	1.04065i
$813$		−	44.1477i		−	1.54833i
$814$	34.5307	−	5.46668i	1.21030	−	0.191607i
$815$	38.6679	−	4.35683i	1.35448	−	0.152613i
$816$	19.8014	+	0.894775i	0.693186	+	0.0313234i
$817$	6.71070	−	13.9349i	0.234778	−	0.487521i
$818$	1.58057	−	0.436093i	0.0552634	−	0.0152476i
$819$	−0.854664	+	1.07171i	−0.0298644	+	0.0374487i
$820$	−2.27844	−	2.99328i	−0.0795665	−	0.104530i
$821$	−1.68108	−	7.36529i	−0.0586700	−	0.257050i	0.937084	−	0.349104i	$-0.113514\pi$
$821$	−1.68108	−	7.36529i	−0.0586700	−	0.257050i	−0.995754	+	0.0920537i	$0.970657\pi$
$822$	−33.0413	−	9.92433i	−1.15245	−	0.346151i
$823$	9.17550	−	5.76535i	0.319838	−	0.200967i	−0.362538	−	0.931969i	$-0.618090\pi$
$823$	9.17550	−	5.76535i	0.319838	−	0.200967i	0.682376	+	0.731002i	$0.260947\pi$
$824$	1.10242	+	4.37891i	0.0384046	+	0.152546i
$825$	19.4511	+	4.43958i	0.677199	+	0.154566i
$826$	−24.3420	+	42.8926i	−0.846967	+	1.49242i
$827$	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	$0.256697\pi$
$828$	3.39011	+	2.23846i	0.117814	+	0.0777920i
$829$	−8.97497	−	8.97497i	−0.311714	−	0.311714i	0.533860	−	0.845573i	$-0.320741\pi$
$829$	−8.97497	−	8.97497i	−0.311714	−	0.311714i	−0.845573	+	0.533860i	$0.820741\pi$
$830$	34.6302	−	13.8884i	1.20203	−	0.482073i
$831$	−2.36368	+	20.9782i	−0.0819950	+	0.727726i
$832$	4.92099	+	5.63725i	0.170605	+	0.195436i
$833$	4.03131	+	2.53304i	0.139677	+	0.0877646i
$834$	9.20686	−	8.04267i	0.318808	−	0.278495i
$835$	43.1898	−	20.7991i	1.49464	−	0.719783i
$836$	−52.7934	−	55.2329i	−1.82590	−	1.91027i
$837$	30.7882	−	24.5528i	1.06420	−	0.848669i
$838$	0.829281	−	12.2872i	0.0286470	−	0.424455i
$839$	−53.0318	+	18.5566i	−1.83086	+	0.640646i	−0.834949	+	0.550327i	$0.814503\pi$
$839$	−53.0318	+	18.5566i	−1.83086	+	0.640646i	−0.995913	+	0.0903192i	$0.971211\pi$
$840$	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
$844$	−9.44255	+	37.4518i	−0.325026	+	1.28915i
$845$	19.8210	+	24.8548i	0.681863	+	0.855029i
$846$	4.07735	−	5.61117i	0.140182	−	0.192916i
$847$	−57.2662	+	27.5780i	−1.96769	+	0.947590i
$848$	4.79811	+	26.4815i	0.164768	+	0.909379i
$849$	18.2870	−	29.1036i	0.627607	−	0.998832i
$850$	0.314760	+	7.01951i	0.0107962	+	0.240767i
$851$	−1.99794	+	17.7322i	−0.0684884	+	0.607851i
$852$	8.85254	−	1.81129i	0.303283	−	0.0620537i
$853$	11.5062	−	11.5062i	0.393965	−	0.393965i	−0.482133	−	0.876098i	$-0.660138\pi$
$853$	11.5062	−	11.5062i	0.393965	−	0.393965i	0.876098	+	0.482133i	$0.160138\pi$
$854$	9.49906	−	22.2199i	0.325051	−	0.760350i
$855$	8.20323	+	2.87043i	0.280544	+	0.0981667i
$856$	−5.69087	+	4.74908i	−0.194510	+	0.162320i
$857$	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	$-0.0262578\pi$
$858$	11.5756	−	8.01841i	0.395184	−	0.273744i
$859$	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	$0.230687\pi$
$860$	5.49019	−	10.7714i	0.187214	−	0.367302i
$861$	−3.87736	+	0.884982i	−0.132140	+	0.0301601i
$862$	25.9042	+	23.6808i	0.882300	+	0.806570i
$863$	2.49261	−	3.12564i	0.0848496	−	0.106398i	−0.737595	−	0.675244i	$-0.764038\pi$
$863$	2.49261	−	3.12564i	0.0848496	−	0.106398i	0.822444	+	0.568846i	$0.192610\pi$
$864$	−11.5050	+	23.8693i	−0.391410	+	0.812051i
$865$	29.5759	+	14.2430i	1.00561	+	0.484277i
$866$	−29.6497	+	15.9525i	−1.00754	+	0.542089i
$867$	−18.5235	+	2.08710i	−0.629091	+	0.0708815i
$868$	−1.12583	+	49.8545i	−0.0382131	+	1.69217i
$869$	11.4669			0.388988
$870$	−7.46086	+	36.5713i	−0.252947	+	1.23988i
$871$			13.5075i			0.457684i
$872$	3.23286	+	0.662631i	0.109479	+	0.0224395i
$873$	0.605599	+	5.37484i	0.0204964	+	0.181911i
$874$	34.3430	−	18.4777i	1.16167	−	0.625018i
$875$	10.5459	−	21.8989i	0.356518	−	0.740317i
$876$	−0.284377	−	3.16460i	−0.00960822	−	0.106922i
$877$	27.3582	+	21.8174i	0.923819	+	0.736721i	0.964950	−	0.262432i	$-0.0845247\pi$
$877$	27.3582	+	21.8174i	0.923819	+	0.736721i	−0.0411310	+	0.999154i	$0.513096\pi$
$878$	33.7800	−	36.9517i	1.14002	−	1.24706i
$879$	−7.36113	−	32.2512i	−0.248285	−	1.08781i
$880$	−40.2822	−	44.0950i	−1.35791	−	1.48644i
$881$	−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	$0.854460\pi$
$882$	1.03168	−	0.714645i	0.0347385	−	0.0240633i
$883$	−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	$0.591368\pi$
$884$	3.80655	+	3.17883i	0.128028	+	0.106916i
$885$	−19.0333	+	54.3942i	−0.639799	+	1.82844i
$886$	0.394180	+	0.168513i	0.0132427	+	0.00566130i
$887$	−15.4901	−	15.4901i	−0.520107	−	0.520107i	0.397497	−	0.917604i	$-0.369879\pi$
$887$	−15.4901	−	15.4901i	−0.520107	−	0.520107i	−0.917604	+	0.397497i	$0.869879\pi$
$888$	22.9452	−	0.510207i	0.769989	−	0.0171214i
$889$	4.73073	+	0.533025i	0.158663	+	0.0178771i
$890$	0.830507	+	18.5213i	0.0278387	+	0.620835i
$891$	49.3683	+	31.0202i	1.65390	+	1.03922i
$892$	14.5675	−	8.70091i	0.487755	−	0.291328i
$893$	−28.8901	−	59.9909i	−0.966770	−	2.00752i
$894$	−24.0980	−	17.5108i	−0.805958	−	0.585648i
$895$	42.3208	−	33.7497i	1.41463	−	1.12813i
$896$	−13.8618	−	30.5570i	−0.463090	−	1.02084i
$897$	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
$902$	5.76451	+	0.389054i	0.191937	+	0.0129541i
$903$	−7.96932	−	9.99321i	−0.265202	−	0.332553i
$904$	13.9822	+	21.1917i	0.465040	+	0.704824i
$905$	−1.78033	−	3.69688i	−0.0591800	−	0.122889i
$906$	10.1399	−	8.85777i	0.336877	−	0.294280i
$907$	−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	$0.278459\pi$
$908$	−16.7296	−	2.26854i	−0.555191	−	0.0752840i
$909$	1.95588	+	0.220375i	0.0648726	+	0.00730939i
$910$	3.82880	+	9.54696i	0.126923	+	0.316479i
$911$	−13.5082	+	13.5082i	−0.447547	+	0.447547i	−0.894538	−	0.446991i	$-0.852495\pi$
$911$	−13.5082	+	13.5082i	−0.447547	+	0.447547i	0.446991	+	0.894538i	$0.352495\pi$
$912$	−29.4711	−	40.5871i	−0.975885	−	1.34397i
$913$	−18.9268	+	54.0897i	−0.626386	+	1.79011i
$914$	−8.98878	+	15.8389i	−0.297322	+	0.523906i
$915$	6.28327	−	27.5288i	0.207719	−	0.910074i
$916$	12.8309	+	28.2586i	0.423946	+	0.933689i
$917$	−6.02124	−	9.58275i	−0.198839	−	0.316450i
$918$	−5.05172	+	16.8188i	−0.166732	+	0.555103i
$919$	−57.3548	+	13.0909i	−1.89196	+	0.431828i	−0.999802	−	0.0198960i	$-0.993666\pi$
$919$	−57.3548	+	13.0909i	−1.89196	+	0.431828i	−0.892158	+	0.451724i	$0.850809\pi$
$920$	27.1644	−	13.8339i	0.895585	−	0.456089i
$921$	13.2156	+	10.5391i	0.435468	+	0.347274i
$922$	−9.33378	+	2.57527i	−0.307392	+	0.0848118i
$923$	2.03689	+	0.980914i	0.0670450	+	0.0322872i
$924$	−60.0549	+	19.5038i	−1.97566	+	0.641629i
$925$	0.910927	+	8.08470i	0.0299511	+	0.265823i
$926$	0.171333	+	1.08224i	0.00563035	+	0.0355646i
$927$	0.788872			0.0259099
$928$	22.0094	−	21.0615i	0.722494	−	0.691377i
$929$	42.7181			1.40153			0.700767	−	0.713390i	$-0.252841\pi$
$929$	42.7181			1.40153			0.700767	+	0.713390i	$0.252841\pi$
$930$	9.11134	+	57.5525i	0.298773	+	1.88722i
$931$	−1.34893	−	11.9721i	−0.0442094	−	0.392369i
$932$	42.5232	−	13.8101i	1.39289	−	0.452366i
$933$	−35.5955	−	17.1419i	−1.16535	−	0.561201i
$934$	−10.9033	+	3.00832i	−0.356768	+	0.0984352i
$935$	−30.9467	−	24.6792i	−1.01207	−	0.807096i
$936$	1.16492	−	0.593252i	0.0380766	−	0.0193911i
$937$	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	$0.167958\pi$
$938$	17.4235	−	58.0085i	0.568898	−	1.89404i
$939$	−9.84573	−	15.6694i	−0.321303	−	0.511351i
$940$	−21.5183	−	47.3914i	−0.701849	−	1.54574i
$941$	5.45696	−	23.9085i	0.177892	−	0.779395i	−0.804710	−	0.593669i	$-0.797679\pi$
$941$	5.45696	−	23.9085i	0.177892	−	0.779395i	0.982601	−	0.185727i	$-0.0594639\pi$
$942$	31.6001	−	55.6819i	1.02959	−	1.81421i
$943$	−0.973982	+	2.78348i	−0.0317172	+	0.0906426i
$944$	38.0590	−	27.6354i	1.23872	−	0.899456i
$945$	−25.7553	+	25.7553i	−0.837819	+	0.837819i
$946$	6.91175	+	17.2342i	0.224721	+	0.560333i
$947$	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	$0.368485\pi$
$948$	7.45946	+	1.01150i	0.242272	+	0.0328521i
$949$	0.422948	−	0.673118i	0.0137295	−	0.0218503i
$950$	13.3909	−	11.6977i	0.434459	−	0.379522i
$951$	−12.7552	−	26.4865i	−0.413616	−	0.858882i
$952$	−12.2470	−	18.5618i	−0.396927	−	0.601590i
$953$	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	$0.684581\pi$
$954$	4.69101	+	0.316602i	0.151877	+	0.0102504i
$955$	−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
$960$	−22.3148	−	32.2381i	−0.720206	−	1.04048i
$961$	−31.0219	+	24.7392i	−1.00071	+	0.798038i
$962$	4.64535	+	3.37553i	0.149772	+	0.108832i
$963$	0.561840	+	1.16667i	0.0181051	+	0.0375955i
$964$	17.1482	−	10.2424i	0.552307	−	0.329884i
$965$	−28.9394	−	18.1838i	−0.931591	−	0.585357i
$966$	−1.44371	−	32.1964i	−0.0464505	−	1.03590i
$967$	−19.8071	−	2.23172i	−0.636952	−	0.0717673i	−0.212417	−	0.977179i	$-0.568134\pi$
$967$	−19.8071	−	2.23172i	−0.636952	−	0.0717673i	−0.424535	+	0.905412i	$0.639562\pi$
$968$	60.6017	−	1.34753i	1.94781	−	0.0433114i
$969$	−23.5059	−	23.5059i	−0.755118	−	0.755118i
$970$	37.3200	+	15.9544i	1.19827	+	0.512265i
$971$	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	$-0.132977\pi$
$972$	7.80687	+	6.51947i	0.250405	+	0.209112i
$973$	−13.3715	−	3.05195i	−0.428669	−	0.0978410i
$974$	−36.2907	+	25.1385i	−1.16283	+	0.805490i
$975$	1.74345	+	2.77469i	0.0558352	+	0.0888612i
$976$	−17.0149	+	15.5437i	−0.544634	+	0.497541i
$977$	−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	$-0.163812\pi$
$978$	−26.4721	+	28.9576i	−0.846483	+	0.925961i
$979$	−22.2626	−	17.7538i	−0.711516	−	0.567415i
$980$	−0.842882	−	9.37974i	−0.0269249	−	0.299625i
$981$	0.250146	−	0.519433i	0.00798654	−	0.0165842i
$982$	40.0730	−	21.5606i	1.27878	−	0.688027i
$983$	−4.83367	−	42.9000i	−0.154170	−	1.36830i	−0.797782	−	0.602946i	$-0.793993\pi$
$983$	−4.83367	−	42.9000i	−0.154170	−	1.36830i	0.643612	−	0.765352i	$-0.277435\pi$
$984$	3.71562	+	0.761580i	0.118449	+	0.0242783i
$985$			70.2440i			2.23816i
$986$	12.2191	−	16.0719i	0.389134	−	0.511832i
$987$	−55.0266			−1.75152
$988$	0.283324	−	12.5463i	0.00901374	−	0.399152i
$989$	−9.41800	+	1.06115i	−0.299475	+	0.0337427i
$990$	−9.18845	+	4.94369i	−0.292028	+	0.157121i
$991$	45.7510	+	22.0325i	1.45333	+	0.699886i	0.983169	−	0.182696i	$-0.0584824\pi$
$991$	45.7510	+	22.0325i	1.45333	+	0.699886i	0.470159	+	0.882582i	$0.344197\pi$
$992$	20.6492	−	42.8407i	0.655614	−	1.36019i
$993$	−39.6669	+	49.7408i	−1.25879	+	1.57848i
$994$	−7.48220	−	6.83998i	−0.237321	−	0.216951i
$995$	25.6269	−	5.84917i	0.812427	−	0.185431i
$996$	−17.0836	+	33.5169i	−0.541314	+	1.06202i
$997$	−4.33204	+	2.72200i	−0.137197	+	0.0862066i	−0.598882	−	0.800838i	$-0.704388\pi$
$997$	−4.33204	+	2.72200i	−0.137197	+	0.0862066i	0.461685	+	0.887044i	$0.347245\pi$
$998$	−8.74961	+	6.06085i	−0.276964	+	0.191853i
$999$	−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.11.16	yes	336
4.3	odd	2		928.2.bn.a.591.8		336
8.3	odd	2	inner	232.2.v.a.11.10	✓	336
8.5	even	2		928.2.bn.a.591.7		336
29.8	odd	28	inner	232.2.v.a.211.10	yes	336
116.95	even	28		928.2.bn.a.559.7		336
232.37	odd	28		928.2.bn.a.559.8		336
232.211	even	28	inner	232.2.v.a.211.16	yes	336

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

\(f(q)\)	\(=\)	\(q+(0.221135 + 1.39682i) q^{2} +(0.209291 + 1.85751i) q^{3} +(-1.90220 + 0.617771i) q^{4} +(2.36223 + 1.13759i) q^{5} +(-2.54832 + 0.703100i) q^{6} +(2.31875 + 1.84914i) q^{7} +(-1.28356 - 2.52041i) q^{8} +(-0.481741 + 0.109954i) q^{9} +O(q^{10})\)	\(q+(0.221135 + 1.39682i) q^{2} +(0.209291 + 1.85751i) q^{3} +(-1.90220 + 0.617771i) q^{4} +(2.36223 + 1.13759i) q^{5} +(-2.54832 + 0.703100i) q^{6} +(2.31875 + 1.84914i) q^{7} +(-1.28356 - 2.52041i) q^{8} +(-0.481741 + 0.109954i) q^{9} +(-1.06663 + 3.55116i) q^{10} +(-3.02984 - 4.82196i) q^{11} +(-1.54562 - 3.40405i) q^{12} +(0.208139 - 0.911918i) q^{13} +(-2.07016 + 3.64779i) q^{14} +(-1.61868 + 4.62593i) q^{15} +(3.23672 - 2.35024i) q^{16} +(1.87453 - 1.87453i) q^{17} +(-0.260116 - 0.648590i) q^{18} +(-6.66614 - 0.751093i) q^{19} +(-5.19619 - 0.704605i) q^{20} +(-2.94950 + 4.69411i) q^{21} +(6.06540 - 5.29844i) q^{22} +(1.78357 + 3.70363i) q^{23} +(4.41305 - 2.91171i) q^{24} +(1.16855 + 1.46532i) q^{25} +(1.31981 + 0.0890757i) 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} +(3.99862 + 4.00138i) q^{32} +(8.32270 - 6.63714i) q^{33} +(3.03291 + 2.20386i) q^{34} +(3.37386 + 7.00588i) q^{35} +(0.848441 - 0.506760i) q^{36} +(3.67558 + 2.30952i) q^{37} +(-0.424976 - 9.47747i) q^{38} +(1.73745 + 0.195764i) q^{39} +(-0.164856 - 7.41394i) q^{40} +(0.507268 + 0.507268i) q^{41} +(-7.20905 - 3.08189i) q^{42} +(-0.761486 + 2.17620i) q^{43} +(8.74222 + 7.30058i) q^{44} +(-1.26306 - 0.288286i) q^{45} +(-4.77888 + 3.31033i) q^{46} +(5.28080 + 8.40434i) q^{47} +(5.04301 + 5.52034i) q^{48} +(0.399638 + 1.75093i) q^{49} +(-1.78838 + 1.95629i) q^{50} +(3.87428 + 3.08964i) q^{51} +(0.167434 + 1.86323i) q^{52} +(-2.91924 + 6.06187i) q^{53} +(-5.83359 + 3.13867i) q^{54} +(-1.67176 - 14.8373i) q^{55} +(1.68436 - 8.21770i) q^{56} -12.5396i q^{57} +(7.54612 - 1.02767i) q^{58} +11.7585 q^{59} +(0.221293 - 9.79942i) q^{60} +(-5.72525 + 0.645081i) q^{61} +(10.4701 - 5.63327i) q^{62} +(-1.32036 - 0.635852i) q^{63} +(-4.70497 + 6.47018i) q^{64} +(1.52906 - 1.91738i) q^{65} +(11.1113 + 10.1576i) q^{66} +(-14.0788 + 3.21338i) q^{67} +(-2.40770 + 4.72377i) q^{68} +(-6.50622 + 4.08813i) q^{69} +(-9.03986 + 6.26191i) q^{70} +(-0.537830 + 2.35639i) q^{71} +(0.895472 + 1.07305i) q^{72} +(0.802203 + 0.280703i) q^{73} +(-2.41318 + 5.64483i) q^{74} +(-2.47727 + 2.47727i) q^{75} +(13.1443 - 2.68941i) q^{76} +(1.89105 - 16.7836i) q^{77} +(0.110765 + 2.47020i) q^{78} +(-1.07128 + 1.70493i) q^{79} +(10.3195 - 1.86976i) q^{80} +(-9.22432 + 4.44220i) q^{81} +(-0.596386 + 0.820736i) q^{82} +(-6.27399 - 7.86734i) q^{83} +(2.71066 - 10.7512i) 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} +(0.123375 - 1.82802i) q^{90} +(2.16889 - 1.72963i) q^{91} +(-5.68070 - 5.94319i) q^{92} +(14.1587 - 6.81847i) q^{93} +(-10.5716 + 9.23481i) q^{94} +(-14.8925 - 9.35757i) q^{95} +(-6.59572 + 8.26490i) q^{96} +(1.22559 - 10.8774i) q^{97} +(-2.35735 + 0.945412i) 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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