LMFDB - Embedded newform 152.2.t.a.101.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [152,2,Mod(5,152)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(152, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 16]))

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

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

chi := DirichletCharacter("152.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 152 = 2^{3} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	152.t (of order $18$, degree $6$, 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:	$1.21372611072$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.11
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.295859 + 1.38292i) q^{2} +(0.947836 - 2.60416i) q^{3} +(-1.82494 + 0.818297i) q^{4} +(1.56423 - 0.275816i) q^{5} +(3.88177 + 0.540319i) q^{6} +(-0.102088 + 0.176822i) q^{7} +(-1.67156 - 2.28164i) q^{8} +(-3.58511 - 3.00826i) q^{9} +O(q^{10})$	\(q+(0.295859 + 1.38292i) q^{2} +(0.947836 - 2.60416i) q^{3} +(-1.82494 + 0.818297i) q^{4} +(1.56423 - 0.275816i) q^{5} +(3.88177 + 0.540319i) q^{6} +(-0.102088 + 0.176822i) q^{7} +(-1.67156 - 2.28164i) q^{8} +(-3.58511 - 3.00826i) q^{9} +(0.844222 + 2.08160i) q^{10} +(3.16397 - 1.82672i) q^{11} +(0.401236 + 5.52803i) q^{12} +(1.56607 + 4.30274i) q^{13} +(-0.274734 - 0.0888654i) q^{14} +(0.764365 - 4.33493i) q^{15} +(2.66078 - 2.98668i) q^{16} +(-3.79018 + 3.18034i) q^{17} +(3.09950 - 5.84794i) q^{18} +(-3.94490 - 1.85412i) q^{19} +(-2.62892 + 1.78335i) q^{20} +(0.363709 + 0.433451i) q^{21} +(3.46229 + 3.83506i) q^{22} +(-0.845340 + 4.79416i) q^{23} +(-7.52612 + 2.19039i) q^{24} +(-2.32772 + 0.847222i) q^{25} +(-5.48702 + 3.43875i) q^{26} +(-4.03208 + 2.32792i) q^{27} +(0.0416114 - 0.406227i) q^{28} +(-4.64554 + 5.53634i) q^{29} +(6.22100 - 0.225470i) q^{30} +(0.446248 - 0.772924i) q^{31} +(4.91755 + 2.79601i) q^{32} +(-1.75814 - 9.97090i) q^{33} +(-5.51951 - 4.30058i) q^{34} +(-0.110919 + 0.304747i) q^{35} +(9.00425 + 2.55620i) q^{36} -10.9493i q^{37} +(1.39696 - 6.00404i) q^{38} +12.6894 q^{39} +(-3.24402 - 3.10797i) q^{40} +(0.759524 + 0.276444i) q^{41} +(-0.491822 + 0.631221i) q^{42} +(3.05282 - 0.538295i) q^{43} +(-4.27924 + 5.92271i) q^{44} +(-6.43766 - 3.71679i) q^{45} +(-6.88004 + 0.249356i) q^{46} +(0.601065 + 0.504353i) q^{47} +(-5.25580 - 9.75997i) q^{48} +(3.47916 + 6.02608i) q^{49} +(-1.86032 - 2.96840i) q^{50} +(4.68963 + 12.8847i) q^{51} +(-6.37890 - 6.57072i) q^{52} +(3.09742 + 0.546158i) q^{53} +(-4.41225 - 4.88730i) q^{54} +(4.44534 - 3.73008i) q^{55} +(0.574090 - 0.0626404i) q^{56} +(-8.56753 + 8.51575i) q^{57} +(-9.03074 - 4.78644i) q^{58} +(-5.40063 - 6.43622i) q^{59} +(2.15234 + 8.53644i) q^{60} +(-4.69406 - 0.827689i) q^{61} +(1.20092 + 0.388449i) q^{62} +(0.897924 - 0.326817i) q^{63} +(-2.41176 + 7.62781i) q^{64} +(3.63646 + 6.29854i) q^{65} +(13.2688 - 5.38134i) q^{66} +(6.59023 - 7.85393i) q^{67} +(4.31437 - 8.90540i) q^{68} +(11.6835 + 6.74548i) q^{69} +(-0.454258 - 0.0632300i) q^{70} +(1.87890 + 10.6558i) q^{71} +(-0.871039 + 13.2084i) q^{72} +(3.52851 + 1.28427i) q^{73} +(15.1420 - 3.23944i) q^{74} +6.86478i q^{75} +(8.71641 + 0.155542i) q^{76} +0.745944i q^{77} +(3.75427 + 17.5484i) q^{78} +(-15.0464 - 5.47645i) q^{79} +(3.33830 - 5.40574i) q^{80} +(-0.197510 - 1.12014i) q^{81} +(-0.157589 + 1.13215i) q^{82} +(2.11687 + 1.22217i) q^{83} +(-1.01844 - 0.493399i) q^{84} +(-5.05152 + 6.02017i) q^{85} +(1.64762 + 4.06255i) q^{86} +(10.0143 + 17.3453i) q^{87} +(-9.45668 - 4.16556i) q^{88} +(10.2933 - 3.74647i) q^{89} +(3.23538 - 10.0024i) q^{90} +(-0.920696 - 0.162344i) q^{91} +(-2.38036 - 9.44077i) q^{92} +(-1.58985 - 1.89470i) q^{93} +(-0.519650 + 0.980442i) q^{94} +(-6.68213 - 1.81220i) q^{95} +(11.9423 - 10.1559i) q^{96} +(13.9297 - 11.6884i) q^{97} +(-7.30424 + 6.59426i) q^{98} +(-16.8384 - 2.96907i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/152\mathbb{Z}\right)^\times$.

$n$	$39$	$77$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{9}\right)$

Coefficient data

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

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

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

$2$	0.295859	+	1.38292i	0.209204	+	0.977872i
$2$	0.295859	+	1.38292i	0.209204	+	0.977872i
$3$	0.947836	−	2.60416i	0.547233	−	1.50351i	−0.290197	−	0.956967i	$-0.593721\pi$
$3$	0.947836	−	2.60416i	0.547233	−	1.50351i	0.837430	−	0.546544i	$-0.184057\pi$
$4$	−1.82494	+	0.818297i	−0.912468	+	0.409149i
$5$	1.56423	−	0.275816i	0.699545	−	0.123349i	0.187446	−	0.982275i	$-0.439979\pi$
$5$	1.56423	−	0.275816i	0.699545	−	0.123349i	0.512099	+	0.858926i	$0.328868\pi$
$6$	3.88177	+	0.540319i	1.58472	+	0.220584i
$7$	−0.102088	+	0.176822i	−0.0385857	+	0.0668323i	−0.884673	−	0.466211i	$-0.845619\pi$
$7$	−0.102088	+	0.176822i	−0.0385857	+	0.0668323i	0.846088	+	0.533044i	$0.178952\pi$
$8$	−1.67156	−	2.28164i	−0.590987	−	0.806681i
$9$	−3.58511	−	3.00826i	−1.19504	−	1.00275i
$10$	0.844222	+	2.08160i	0.266967	+	0.658260i
$11$	3.16397	−	1.82672i	0.953972	−	0.550776i	0.0596596	−	0.998219i	$-0.480998\pi$
$11$	3.16397	−	1.82672i	0.953972	−	0.550776i	0.894313	+	0.447443i	$0.147665\pi$
$12$	0.401236	+	5.52803i	0.115827	+	1.59581i
$13$	1.56607	+	4.30274i	0.434350	+	1.19337i	0.943117	+	0.332462i	$0.107879\pi$
$13$	1.56607	+	4.30274i	0.434350	+	1.19337i	−0.508767	+	0.860904i	$0.669898\pi$
$14$	−0.274734	−	0.0888654i	−0.0734257	−	0.0237503i
$15$	0.764365	−	4.33493i	0.197358	−	1.11927i
$16$	2.66078	−	2.98668i	0.665195	−	0.746670i
$17$	−3.79018	+	3.18034i	−0.919253	+	0.771345i	−0.973857	−	0.227163i	$-0.927055\pi$
$17$	−3.79018	+	3.18034i	−0.919253	+	0.771345i	0.0546034	+	0.998508i	$0.482611\pi$
$18$	3.09950	−	5.84794i	0.730560	−	1.37837i
$19$	−3.94490	−	1.85412i	−0.905022	−	0.425364i
$19$	−3.94490	−	1.85412i	−0.905022	−	0.425364i
$20$	−2.62892	+	1.78335i	−0.587844	+	0.398770i
$21$	0.363709	+	0.433451i	0.0793678	+	0.0945869i
$22$	3.46229	+	3.83506i	0.738163	+	0.817638i
$23$	−0.845340	+	4.79416i	−0.176266	+	0.999652i	0.760407	+	0.649446i	$0.224999\pi$
$23$	−0.845340	+	4.79416i	−0.176266	+	0.999652i	−0.936673	+	0.350205i	$0.886112\pi$
$24$	−7.52612	+	2.19039i	−1.53626	+	0.447112i
$25$	−2.32772	+	0.847222i	−0.465544	+	0.169444i
$26$	−5.48702	+	3.43875i	−1.07609	+	0.674395i
$27$	−4.03208	+	2.32792i	−0.775974	+	0.448009i
$28$	0.0416114	−	0.406227i	0.00786381	−	0.0767696i
$29$	−4.64554	+	5.53634i	−0.862655	+	1.02807i	0.136643	+	0.990620i	$0.456369\pi$
$29$	−4.64554	+	5.53634i	−0.862655	+	1.02807i	−0.999298	+	0.0374523i	$0.988076\pi$
$30$	6.22100	−	0.225470i	1.13579	−	0.0411651i
$31$	0.446248	−	0.772924i	0.0801484	−	0.138821i	−0.823165	−	0.567802i	$-0.807794\pi$
$31$	0.446248	−	0.772924i	0.0801484	−	0.138821i	0.903314	+	0.428981i	$0.141127\pi$
$32$	4.91755	+	2.79601i	0.869309	+	0.494269i
$33$	−1.75814	−	9.97090i	−0.306053	−	1.73571i
$34$	−5.51951	−	4.30058i	−0.946588	−	0.737544i
$35$	−0.110919	+	0.304747i	−0.0187487	+	0.0515117i
$36$	9.00425	+	2.55620i	1.50071	+	0.426034i
$37$		−	10.9493i		−	1.80005i	−0.435838	−	0.900025i	$-0.643548\pi$
$37$		−	10.9493i		−	1.80005i	0.435838	−	0.900025i	$-0.356452\pi$
$38$	1.39696	−	6.00404i	0.226617	−	0.973984i
$39$	12.6894			2.03193
$40$	−3.24402	−	3.10797i	−0.512925	−	0.491412i
$41$	0.759524	+	0.276444i	0.118618	+	0.0431733i	0.400647	−	0.916232i	$-0.368785\pi$
$41$	0.759524	+	0.276444i	0.118618	+	0.0431733i	−0.282029	+	0.959406i	$0.591008\pi$
$42$	−0.491822	+	0.631221i	−0.0758898	+	0.0973995i
$43$	3.05282	−	0.538295i	0.465551	−	0.0820892i	0.0640479	−	0.997947i	$-0.479599\pi$
$43$	3.05282	−	0.538295i	0.465551	−	0.0820892i	0.401503	+	0.915858i	$0.368488\pi$
$44$	−4.27924	+	5.92271i	−0.645119	+	0.892882i
$45$	−6.43766	−	3.71679i	−0.959670	−	0.554066i
$46$	−6.88004	+	0.249356i	−1.01441	+	0.0367655i
$47$	0.601065	+	0.504353i	0.0876743	+	0.0735675i	0.685571	−	0.728005i	$-0.259552\pi$
$47$	0.601065	+	0.504353i	0.0876743	+	0.0735675i	−0.597897	+	0.801573i	$0.703997\pi$
$48$	−5.25580	−	9.75997i	−0.758610	−	1.40873i
$49$	3.47916	+	6.02608i	0.497022	+	0.860868i
$50$	−1.86032	−	2.96840i	−0.263088	−	0.419795i
$51$	4.68963	+	12.8847i	0.656680	+	1.80421i
$52$	−6.37890	−	6.57072i	−0.884595	−	0.911195i
$53$	3.09742	+	0.546158i	0.425463	+	0.0750206i	0.382280	−	0.924047i	$-0.375139\pi$
$53$	3.09742	+	0.546158i	0.425463	+	0.0750206i	0.0431831	+	0.999067i	$0.486250\pi$
$54$	−4.41225	−	4.88730i	−0.600432	−	0.665078i
$55$	4.44534	−	3.73008i	0.599409	−	0.502964i
$56$	0.574090	−	0.0626404i	0.0767160	−	0.00837068i
$57$	−8.56753	+	8.51575i	−1.13480	+	1.12794i
$58$	−9.03074	−	4.78644i	−1.18579	−	0.628490i
$59$	−5.40063	−	6.43622i	−0.703103	−	0.837925i	0.289771	−	0.957096i	$-0.406421\pi$
$59$	−5.40063	−	6.43622i	−0.703103	−	0.837925i	−0.992874	+	0.119171i	$0.961976\pi$
$60$	2.15234	+	8.53644i	0.277867	+	1.10205i
$61$	−4.69406	−	0.827689i	−0.601013	−	0.105975i	−0.135140	−	0.990827i	$-0.543148\pi$
$61$	−4.69406	−	0.827689i	−0.601013	−	0.105975i	−0.465873	+	0.884852i	$0.654260\pi$
$62$	1.20092	+	0.388449i	0.152517	+	0.0493330i
$63$	0.897924	−	0.326817i	0.113128	−	0.0411751i
$64$	−2.41176	+	7.62781i	−0.301470	+	0.953476i
$65$	3.63646	+	6.29854i	0.451047	+	0.781237i
$66$	13.2688	−	5.38134i	1.63328	−	0.662397i
$67$	6.59023	−	7.85393i	0.805125	−	0.959510i	−0.194647	−	0.980873i	$-0.562356\pi$
$67$	6.59023	−	7.85393i	0.805125	−	0.959510i	0.999772	+	0.0213629i	$0.00680054\pi$
$68$	4.31437	−	8.90540i	0.523194	−	1.07994i
$69$	11.6835	+	6.74548i	1.40653	+	0.812060i
$70$	−0.454258	−	0.0632300i	−0.0542942	−	0.00755742i
$71$	1.87890	+	10.6558i	0.222984	+	1.26461i	0.866501	+	0.499175i	$0.166364\pi$
$71$	1.87890	+	10.6558i	0.222984	+	1.26461i	−0.643517	+	0.765432i	$0.722525\pi$
$72$	−0.871039	+	13.2084i	−0.102653	+	1.55663i
$73$	3.52851	+	1.28427i	0.412981	+	0.150313i	0.540151	−	0.841568i	$-0.318367\pi$
$73$	3.52851	+	1.28427i	0.412981	+	0.150313i	−0.127170	+	0.991881i	$0.540589\pi$
$74$	15.1420	−	3.23944i	1.76022	−	0.376577i
$75$			6.86478i			0.792677i
$76$	8.71641	+	0.155542i	0.999841	+	0.0178419i
$77$			0.745944i			0.0850083i
$78$	3.75427	+	17.5484i	0.425087	+	1.98697i
$79$	−15.0464	−	5.47645i	−1.69285	−	0.616149i	−0.697875	−	0.716220i	$-0.745871\pi$
$79$	−15.0464	−	5.47645i	−1.69285	−	0.616149i	−0.994980	+	0.100071i	$0.968093\pi$
$80$	3.33830	−	5.40574i	0.373233	−	0.604380i
$81$	−0.197510	−	1.12014i	−0.0219456	−	0.124460i
$82$	−0.157589	+	1.13215i	−0.0174027	+	0.125025i
$83$	2.11687	+	1.22217i	0.232356	+	0.134151i	0.611659	−	0.791122i	$-0.290503\pi$
$83$	2.11687	+	1.22217i	0.232356	+	0.134151i	−0.379302	+	0.925273i	$0.623836\pi$
$84$	−1.01844	−	0.493399i	−0.111121	−	0.0538342i
$85$	−5.05152	+	6.02017i	−0.547915	+	0.652979i
$86$	1.64762	+	4.06255i	0.177668	+	0.438076i
$87$	10.0143	+	17.3453i	1.07364	+	1.85961i
$88$	−9.45668	−	4.16556i	−1.00809	−	0.444050i
$89$	10.2933	−	3.74647i	1.09109	−	0.397125i	0.267067	−	0.963678i	$-0.413945\pi$
$89$	10.2933	−	3.74647i	1.09109	−	0.397125i	0.824026	+	0.566553i	$0.191723\pi$
$90$	3.23538	−	10.0024i	0.341039	−	1.05435i
$91$	−0.920696	−	0.162344i	−0.0965152	−	0.0170182i
$92$	−2.38036	−	9.44077i	−0.248170	−	0.984269i
$93$	−1.58985	−	1.89470i	−0.164859	−	0.196472i
$94$	−0.519650	+	0.980442i	−0.0535978	+	0.101125i
$95$	−6.68213	−	1.81220i	−0.685572	−	0.185928i
$96$	11.9423	−	10.1559i	1.21885	−	1.03653i
$97$	13.9297	−	11.6884i	1.41435	−	1.18678i	0.460057	−	0.887889i	$-0.347829\pi$
$97$	13.9297	−	11.6884i	1.41435	−	1.18678i	0.954288	−	0.298887i	$-0.0966155\pi$
$98$	−7.30424	+	6.59426i	−0.737840	+	0.666121i
$99$	−16.8384	−	2.96907i	−1.69233	−	0.298403i
$100$	3.55466	−	3.45089i	0.355466	−	0.345089i
$101$	4.43216	+	12.1772i	0.441016	+	1.21168i	0.938825	+	0.344395i	$0.111916\pi$
$101$	4.43216	+	12.1772i	0.441016	+	1.21168i	−0.497809	+	0.867287i	$0.665862\pi$
$102$	−16.4310	+	10.2974i	−1.62691	+	1.01960i
$103$	−6.61718	−	11.4613i	−0.652010	−	1.12931i	−0.982634	−	0.185552i	$-0.940593\pi$
$103$	−6.61718	−	11.4613i	−0.652010	−	1.12931i	0.330624	−	0.943762i	$-0.392741\pi$
$104$	7.19953	−	10.7655i	0.705972	−	1.05565i
$105$	0.688477	+	0.577701i	0.0671885	+	0.0563778i
$106$	0.161104	+	4.44507i	0.0156478	+	0.431743i
$107$	4.19003	+	2.41911i	0.405065	+	0.233865i	0.688667	−	0.725078i	$-0.258196\pi$
$107$	4.19003	+	2.41911i	0.405065	+	0.233865i	−0.283602	+	0.958942i	$0.591529\pi$
$108$	5.45335	−	7.54774i	0.524749	−	0.726282i
$109$	2.69420	−	0.475060i	0.258057	−	0.0455025i	−0.0431226	−	0.999070i	$-0.513731\pi$
$109$	2.69420	−	0.475060i	0.258057	−	0.0455025i	0.301180	+	0.953567i	$0.402620\pi$
$110$	6.47359	+	5.04397i	0.617233	+	0.480923i
$111$	−28.5136	−	10.3781i	−2.70640	−	0.985047i
$112$	0.256476	+	0.775388i	0.0242347	+	0.0732673i
$113$	−3.32661			−0.312941			−0.156471	−	0.987683i	$-0.550012\pi$
$113$	−3.32661			−0.312941			−0.156471	+	0.987683i	$0.550012\pi$
$114$	−14.3114	−	9.32876i	−1.34038	−	0.873718i
$115$			7.73233i			0.721043i
$116$	3.94744	−	13.9049i	0.366511	−	1.29104i
$117$	7.32926	−	20.1370i	0.677590	−	1.86166i
$118$	7.30296	−	9.37286i	0.672292	−	0.862841i
$119$	−0.175421	−	0.994861i	−0.0160808	−	0.0911987i
$120$	−11.1684	+	5.50210i	−1.01953	+	0.502271i
$121$	1.17379	−	2.03307i	0.106709	−	0.184825i
$122$	−0.244150	−	6.73639i	−0.0221043	−	0.609884i
$123$	1.43981	−	1.71590i	0.129823	−	0.154717i
$124$	−0.181892	+	1.77570i	−0.0163344	+	0.159462i
$125$	−10.2852	+	5.93817i	−0.919938	+	0.531126i
$126$	0.717621	+	1.14506i	0.0639307	+	0.102010i
$127$	5.86776	−	2.13569i	0.520679	−	0.189512i	−0.0682926	−	0.997665i	$-0.521755\pi$
$127$	5.86776	−	2.13569i	0.520679	−	0.189512i	0.588972	+	0.808154i	$0.299533\pi$
$128$	−11.2622	−	1.07851i	−0.995446	−	0.0953281i
$129$	1.49177	−	8.46025i	0.131343	−	0.744883i
$130$	−7.63449	+	6.89241i	−0.669589	+	0.604504i
$131$	−8.11214	−	9.66767i	−0.708761	−	0.844668i	0.284727	−	0.958609i	$-0.408097\pi$
$131$	−8.11214	−	9.66767i	−0.708761	−	0.844668i	−0.993488	+	0.113940i	$0.963653\pi$
$132$	11.3676	+	16.7576i	0.989427	+	1.45856i
$133$	0.730576	−	0.508261i	0.0633489	−	0.0440718i
$134$	12.8111	+	6.79011i	1.10671	+	0.586576i
$135$	−5.66502	+	4.75351i	−0.487567	+	0.409117i
$136$	13.5919	+	3.33169i	1.16550	+	0.285690i
$137$	−0.765206	+	4.33970i	−0.0653759	+	0.370765i	0.934514	+	0.355926i	$0.115835\pi$
$137$	−0.765206	+	4.33970i	−0.0653759	+	0.370765i	−0.999890	+	0.0148389i	$0.995276\pi$
$138$	−5.87179	+	18.1531i	−0.499840	+	1.54529i
$139$	−3.70316	−	10.1743i	−0.314098	−	0.862977i	−0.991818	−	0.127657i	$-0.959254\pi$
$139$	−3.70316	−	10.1743i	−0.314098	−	0.862977i	0.677720	−	0.735320i	$-0.262968\pi$
$140$	−0.0469540	−	0.646909i	−0.00396834	−	0.0546738i
$141$	1.88313	−	1.08722i	0.158588	−	0.0915607i
$142$	−14.1802	+	5.75097i	−1.18998	+	0.482611i
$143$	12.8149	+	10.7530i	1.07164	+	0.899209i
$144$	−18.5239	+	2.70325i	−1.54366	+	0.225271i
$145$	−5.73968	+	9.94142i	−0.476655	+	0.825590i
$146$	−0.732107	+	5.25962i	−0.0605896	+	0.435289i
$147$	18.9905	−	3.34854i	1.56631	−	0.276183i
$148$	8.95977	+	19.9817i	0.736488	+	1.64249i
$149$	−0.574311	+	1.57791i	−0.0470494	+	0.129267i	−0.960992	−	0.276577i	$-0.910800\pi$
$149$	−0.574311	+	1.57791i	−0.0470494	+	0.129267i	0.913942	+	0.405844i	$0.133022\pi$
$150$	−9.49344	+	2.03100i	−0.775136	+	0.165831i
$151$	−11.0143			−0.896328			−0.448164	−	0.893951i	$-0.647922\pi$
$151$	−11.0143			−0.896328			−0.448164	+	0.893951i	$0.647922\pi$
$152$	2.36372	+	12.1001i	0.191723	+	0.981449i
$153$	23.1555			1.87201
$154$	−1.03158	+	0.220694i	−0.0831272	+	0.0177840i
$155$	0.484849	−	1.33211i	0.0389440	−	0.106998i
$156$	−23.1573	+	10.3837i	−1.85407	+	0.831362i
$157$	7.88911	−	1.39106i	0.629619	−	0.111019i	0.150273	−	0.988645i	$-0.451985\pi$
$157$	7.88911	−	1.39106i	0.629619	−	0.111019i	0.479347	+	0.877626i	$0.340874\pi$
$158$	3.12188	−	22.4283i	0.248363	−	1.78430i
$159$	4.35812	−	7.54849i	0.345622	−	0.598635i
$160$	8.46337	+	3.01726i	0.669088	+	0.238535i
$161$	−0.761413	−	0.638901i	−0.0600077	−	0.0503525i
$162$	1.49062	−	0.604543i	0.117114	−	0.0474973i
$163$	−11.5510	+	6.66896i	−0.904742	+	0.522353i	−0.878736	−	0.477308i	$-0.841612\pi$
$163$	−11.5510	+	6.66896i	−0.904742	+	0.522353i	−0.0260067	+	0.999662i	$0.508279\pi$
$164$	−1.61230	+	0.117024i	−0.125899	+	0.00913803i
$165$	−5.50027	−	15.1119i	−0.428195	−	1.17646i
$166$	−1.06387	+	3.28905i	−0.0825727	+	0.255279i
$167$	2.27213	−	12.8859i	0.175823	−	0.997142i	−0.761367	−	0.648322i	$-0.775471\pi$
$167$	2.27213	−	12.8859i	0.175823	−	0.997142i	0.937190	−	0.348820i	$-0.113418\pi$
$168$	0.381018	−	1.55439i	0.0293961	−	0.119924i
$169$	−6.10246	+	5.12057i	−0.469420	+	0.393890i
$170$	−9.81995	−	5.20473i	−0.753156	−	0.399185i
$171$	8.56523	+	18.5145i	0.655000	+	1.41584i
$172$	−5.13072	+	3.48047i	−0.391214	+	0.265383i
$173$	−10.1395	−	12.0838i	−0.770890	−	0.918711i	0.227593	−	0.973756i	$-0.426914\pi$
$173$	−10.1395	−	12.0838i	−0.770890	−	0.918711i	−0.998484	+	0.0550448i	$0.982470\pi$
$174$	−21.0243	+	18.9807i	−1.59385	+	1.43892i
$175$	0.0878255	−	0.498083i	0.00663898	−	0.0376515i
$176$	2.96280	−	14.3103i	0.223329	−	1.07868i
$177$	−21.8799	+	7.96362i	−1.64459	+	0.598582i
$178$	8.22645	+	13.1265i	0.616598	+	0.983869i
$179$	0.307470	−	0.177518i	0.0229814	−	0.0132683i	−0.488465	−	0.872583i	$-0.662443\pi$
$179$	0.307470	−	0.177518i	0.0229814	−	0.0132683i	0.511447	+	0.859315i	$0.329110\pi$
$180$	14.7898	+	1.51497i	1.10236	+	0.112919i
$181$	10.5178	−	12.5346i	0.781783	−	0.931693i	−0.217229	−	0.976121i	$-0.569702\pi$
$181$	10.5178	−	12.5346i	0.781783	−	0.931693i	0.999013	+	0.0444275i	$0.0141464\pi$
$182$	−0.0478877	−	1.32128i	−0.00354967	−	0.0979398i
$183$	−6.60463	+	11.4396i	−0.488228	+	0.845636i
$184$	12.3516	−	6.08498i	0.910571	−	0.448591i
$185$	−3.01999	−	17.1272i	−0.222034	−	1.25922i
$186$	2.14985	−	2.75919i	0.157635	−	0.202314i
$187$	−6.18242	+	16.9861i	−0.452104	+	1.24214i
$188$	−1.50962	−	0.428562i	−0.110100	−	0.0312561i
$189$		−	0.950612i		−	0.0691468i
$190$	0.529162	−	9.77700i	0.0383894	−	0.709298i
$191$	−12.1093			−0.876198			−0.438099	−	0.898927i	$-0.644348\pi$
$191$	−12.1093			−0.876198			−0.438099	+	0.898927i	$0.644348\pi$
$192$	17.5781	+	13.5105i	1.26859	+	0.975037i
$193$	20.6059	+	7.49993i	1.48325	+	0.539857i	0.951662	−	0.307149i	$-0.0993749\pi$
$193$	20.6059	+	7.49993i	1.48325	+	0.539857i	0.531584	+	0.847006i	$0.321597\pi$
$194$	20.2853	+	15.8055i	1.45640	+	1.13477i
$195$	19.8491	−	3.49994i	1.42143	−	0.250636i
$196$	−11.2804	−	8.15021i	−0.805740	−	0.582158i
$197$	−15.4899	−	8.94311i	−1.10361	−	0.637170i	−0.166444	−	0.986051i	$-0.553229\pi$
$197$	−15.4899	−	8.94311i	−1.10361	−	0.637170i	−0.937167	+	0.348881i	$0.886562\pi$
$198$	−0.875808	−	24.1646i	−0.0622409	−	1.71730i
$199$	−12.2562	−	10.2842i	−0.868822	−	0.729028i	0.0950277	−	0.995475i	$-0.469706\pi$
$199$	−12.2562	−	10.2842i	−0.868822	−	0.729028i	−0.963850	+	0.266446i	$0.914150\pi$
$200$	5.82399	+	3.89484i	0.411818	+	0.275407i
$201$	−14.2064	−	24.6062i	−1.00204	−	1.73559i
$202$	−15.5289	+	9.73206i	−1.09261	+	0.684745i
$203$	−0.504691	−	1.38663i	−0.0354224	−	0.0973221i
$204$	−19.1018	−	19.6762i	−1.33739	−	1.37761i
$205$	1.26432	+	0.222933i	0.0883038	+	0.0155703i
$206$	13.8923	−	12.5420i	0.967922	−	0.873839i
$207$	17.4527	−	14.6446i	1.21305	−	1.01787i
$208$	17.0179	+	6.77130i	1.17998	+	0.469505i
$209$	−15.8685	+	1.33985i	−1.09765	+	0.0926796i
$210$	−0.595222	+	1.12303i	−0.0410742	+	0.0774962i
$211$	4.75798	+	5.67034i	0.327553	+	0.390362i	0.904538	−	0.426392i	$-0.140216\pi$
$211$	4.75798	+	5.67034i	0.327553	+	0.390362i	−0.576986	+	0.816754i	$0.695771\pi$
$212$	−6.09951	+	1.53791i	−0.418916	+	0.105624i
$213$	29.5302	+	5.20697i	2.02338	+	0.356776i
$214$	−2.10578	+	6.51019i	−0.143948	+	0.445027i
$215$	4.62685	−	1.68403i	0.315548	−	0.114850i
$216$	12.0513	+	5.30848i	0.819990	+	0.361196i
$217$	0.0911131	+	0.157813i	0.00618516	+	0.0107130i
$218$	1.45407	+	3.58531i	0.0984821	+	0.242828i
$219$	6.68890	−	7.97153i	0.451994	−	0.538666i
$220$	−5.06014	+	10.4448i	−0.341154	+	0.704186i
$221$	−19.6199	−	11.3275i	−1.31978	−	0.761973i
$222$	5.91610	−	42.5025i	0.397063	−	2.85258i
$223$	0.732617	+	4.15488i	0.0490596	+	0.278231i	0.999462	−	0.0327913i	$-0.0104397\pi$
$223$	0.732617	+	4.15488i	0.0490596	+	0.278231i	−0.950403	+	0.311022i	$0.899329\pi$
$224$	−0.996419	+	0.584091i	−0.0665760	+	0.0390262i
$225$	10.8938	+	3.96502i	0.726254	+	0.264335i
$226$	−0.984206	−	4.60044i	−0.0654684	−	0.306016i
$227$			16.7722i			1.11321i	0.830778	+	0.556604i	$0.187896\pi$
$227$			16.7722i			1.11321i	−0.830778	+	0.556604i	$0.812104\pi$
$228$	8.66678	−	22.5515i	0.573972	−	1.49351i
$229$			10.3598i			0.684595i	0.939592	+	0.342297i	$0.111205\pi$
$229$			10.3598i			0.684595i	−0.939592	+	0.342297i	$0.888795\pi$
$230$	−10.6932	+	2.28768i	−0.705088	+	0.150845i
$231$	1.94256	+	0.707033i	0.127811	+	0.0465193i
$232$	20.3972	+	1.34511i	1.33914	+	0.0883108i
$233$	3.15154	+	17.8733i	0.206464	+	1.17092i	0.895119	+	0.445828i	$0.147091\pi$
$233$	3.15154	+	17.8733i	0.206464	+	1.17092i	−0.688654	+	0.725090i	$0.741798\pi$
$234$	30.0162	+	4.17808i	1.96222	+	0.273130i
$235$	1.07931	+	0.623141i	0.0704066	+	0.0406493i
$236$	15.1226	+	7.32637i	0.984394	+	0.476906i
$237$	−28.5231	+	33.9925i	−1.85277	+	2.20805i
$238$	1.32391	−	0.536931i	0.0858165	−	0.0348041i
$239$	13.8262	+	23.9477i	0.894344	+	1.54905i	0.834614	+	0.550835i	$0.185691\pi$
$239$	13.8262	+	23.9477i	0.894344	+	1.54905i	0.0597299	+	0.998215i	$0.480976\pi$
$240$	−10.9132	−	13.8172i	−0.704447	−	0.891897i
$241$	−11.2012	+	4.07690i	−0.721533	+	0.262616i	−0.676576	−	0.736373i	$-0.736537\pi$
$241$	−11.2012	+	4.07690i	−0.721533	+	0.262616i	−0.0449564	+	0.998989i	$0.514315\pi$
$242$	3.15885	+	1.02176i	0.203059	+	0.0656814i
$243$	−16.8595	−	2.97279i	−1.08154	−	0.190705i
$244$	9.24365	−	2.33066i	0.591764	−	0.149205i
$245$	7.10429	+	8.46656i	0.453876	+	0.540909i
$246$	2.79893	+	1.48348i	0.178453	+	0.0945831i
$247$	1.79980	−	19.8776i	0.114518	−	1.26478i
$248$	−2.50946	+	0.273814i	−0.159351	+	0.0173872i
$249$	5.18917	−	4.35423i	0.328850	−	0.275938i
$250$	−11.2550	−	12.4668i	−0.711828	−	0.788468i
$251$	0.417587	+	0.0736319i	0.0263579	+	0.00464760i	0.186812	−	0.982396i	$-0.440185\pi$
$251$	0.417587	+	0.0736319i	0.0263579	+	0.00464760i	−0.160454	+	0.987043i	$0.551296\pi$
$252$	−1.37122	+	1.33119i	−0.0863787	+	0.0838570i
$253$	6.08295	+	16.7128i	0.382432	+	1.05072i
$254$	4.68951	+	7.48278i	0.294246	+	0.469511i
$255$	10.8895	+	18.8611i	0.681924	+	1.18113i
$256$	−1.84051	−	15.8938i	−0.115032	−	0.993362i
$257$	−0.962976	−	0.808033i	−0.0600688	−	0.0504037i	0.612259	−	0.790657i	$-0.290261\pi$
$257$	−0.962976	−	0.808033i	−0.0600688	−	0.0504037i	−0.672328	+	0.740254i	$0.734705\pi$
$258$	12.1412	−	0.440038i	0.755878	−	0.0273956i
$259$	1.93607	+	1.11779i	0.120302	+	0.0694561i
$260$	−11.7904	−	8.51871i	−0.731208	−	0.528308i
$261$	33.3096	−	5.87337i	2.06181	−	0.363553i
$262$	10.9696	−	14.0787i	0.677702	−	0.869785i
$263$	11.5460	+	4.20239i	0.711955	+	0.259130i	0.672507	−	0.740091i	$-0.265218\pi$
$263$	11.5460	+	4.20239i	0.711955	+	0.259130i	0.0394484	+	0.999222i	$0.487440\pi$
$264$	−19.8112	+	20.6784i	−1.21929	+	1.27267i
$265$	4.99571			0.306884
$266$	0.919031	+	0.859954i	0.0563494	+	0.0527272i
$267$		−	30.3565i		−	1.85779i
$268$	−5.59989	+	19.7257i	−0.342068	+	1.20494i
$269$	−1.29428	+	3.55600i	−0.0789135	+	0.216813i	−0.972875	−	0.231330i	$-0.925692\pi$
$269$	−1.29428	+	3.55600i	−0.0789135	+	0.216813i	0.893962	+	0.448143i	$0.147914\pi$
$270$	−8.24977	−	6.42790i	−0.502065	−	0.391189i
$271$	2.70419	+	15.3362i	0.164268	+	0.931609i	0.949816	+	0.312809i	$0.101270\pi$
$271$	2.70419	+	15.3362i	0.164268	+	0.931609i	−0.785548	+	0.618800i	$0.787619\pi$
$272$	−0.586176	+	19.7822i	−0.0355422	+	1.19947i
$273$	−1.29544	+	2.24376i	−0.0784034	+	0.135799i
$274$	−6.22785	+	0.225718i	−0.376238	+	0.0136361i
$275$	−5.81720	+	6.93267i	−0.350791	+	0.418056i
$276$	−26.8415	−	2.74947i	−1.61567	−	0.165499i
$277$	13.8243	−	7.98144i	0.830620	−	0.479558i	−0.0234452	−	0.999725i	$-0.507464\pi$
$277$	13.8243	−	7.98144i	0.830620	−	0.479558i	0.854065	+	0.520167i	$0.174130\pi$
$278$	12.9747	−	8.13134i	0.778171	−	0.487686i
$279$	−3.92501	+	1.42859i	−0.234984	+	0.0855272i
$280$	0.880732	−	0.256327i	0.0526338	−	0.0153185i
$281$	−0.932665	+	5.28941i	−0.0556381	+	0.315540i	−0.999907	−	0.0136355i	$-0.995660\pi$
$281$	−0.932665	+	5.28941i	−0.0556381	+	0.315540i	0.944269	+	0.329175i	$0.106771\pi$
$282$	2.06068	+	2.28255i	0.122712	+	0.135924i
$283$	−4.92811	−	5.87309i	−0.292946	−	0.349119i	0.599418	−	0.800436i	$-0.295399\pi$
$283$	−4.92811	−	5.87309i	−0.292946	−	0.349119i	−0.892364	+	0.451317i	$0.850954\pi$
$284$	−12.1485	−	17.9086i	−0.720879	−	1.06268i
$285$	−11.0528	+	15.6836i	−0.654712	+	0.929019i
$286$	−11.0791	+	20.9033i	−0.655121	+	1.23604i
$287$	−0.126420	+	0.106079i	−0.00746232	+	0.00626163i
$288$	−9.21884	−	24.8173i	−0.543225	−	1.46237i
$289$	1.29889	−	7.36636i	0.0764052	−	0.433315i
$290$	−15.4463	−	4.99627i	−0.907040	−	0.293391i
$291$	−17.2354	−	47.3538i	−1.01036	−	2.77593i
$292$	−7.49023	+	0.543657i	−0.438333	+	0.0318151i
$293$	18.7492	−	10.8248i	1.09534	−	0.632393i	0.160345	−	0.987061i	$-0.448739\pi$
$293$	18.7492	−	10.8248i	1.09534	−	0.632393i	0.934992	+	0.354668i	$0.115406\pi$
$294$	10.2493	+	25.2717i	0.597750	+	1.47387i
$295$	−10.2230	−	8.57815i	−0.595209	−	0.499439i
$296$	−24.9823	+	18.3024i	−1.45207	+	1.06381i
$297$	−8.50491	+	14.7309i	−0.493505	+	0.854775i
$298$	−2.35203	−	0.327389i	−0.136250	−	0.0189651i
$299$	−21.9519	+	3.87072i	−1.26951	+	0.223849i
$300$	−5.61743	−	12.5278i	−0.324323	−	0.723292i
$301$	−0.216475	+	0.594759i	−0.0124774	+	0.0342813i
$302$	−3.25866	−	15.2318i	−0.187515	−	0.876494i
$303$	35.9124			2.06311
$304$	−16.0342	+	6.84876i	−0.919622	+	0.392803i
$305$	−7.57088			−0.433507
$306$	6.85075	+	32.0222i	0.391632	+	1.83059i
$307$	−0.759467	+	2.08662i	−0.0433450	+	0.119090i	−0.959477	−	0.281788i	$-0.909073\pi$
$307$	−0.759467	+	2.08662i	−0.0433450	+	0.119090i	0.916132	+	0.400878i	$0.131295\pi$
$308$	−0.610404	−	1.36130i	−0.0347810	−	0.0775673i
$309$	−36.1190	+	6.36876i	−2.05474	+	0.362306i
$310$	1.98565	+	0.276391i	0.112777	+	0.0156979i
$311$	−2.03223	+	3.51993i	−0.115237	+	0.199597i	−0.917875	−	0.396871i	$-0.870096\pi$
$311$	−2.03223	+	3.51993i	−0.115237	+	0.199597i	0.802637	+	0.596467i	$0.203430\pi$
$312$	−21.2111	−	28.9526i	−1.20084	−	1.63912i
$313$	1.23413	+	1.03555i	0.0697569	+	0.0585330i	0.676999	−	0.735984i	$-0.263280\pi$
$313$	1.23413	+	1.03555i	0.0697569	+	0.0585330i	−0.607243	+	0.794516i	$0.707724\pi$
$314$	4.25779	+	10.4984i	0.240281	+	0.592462i
$315$	1.31442	−	0.758879i	0.0740590	−	0.0427580i
$316$	31.9401	−	2.31828i	1.79677	−	0.130414i
$317$	1.61405	+	4.43456i	0.0906539	+	0.249070i	0.976731	−	0.214469i	$-0.0688019\pi$
$317$	1.61405	+	4.43456i	0.0906539	+	0.249070i	−0.886077	+	0.463538i	$0.846580\pi$
$318$	11.7284	+	3.79365i	0.657693	+	0.212737i
$319$	−4.58501	+	26.0029i	−0.256711	+	1.45588i
$320$	−1.66867	+	12.5968i	−0.0932816	+	0.704185i
$321$	10.2712	−	8.61857i	0.573283	−	0.481042i
$322$	0.658279	−	1.24200i	0.0366844	−	0.0692138i
$323$	20.8486	−	5.51868i	1.16005	−	0.307068i
$324$	1.27705	+	1.88255i	0.0709471	+	0.104586i
$325$	−7.29076	−	8.68879i	−0.404418	−	0.481967i
$326$	−12.6401	−	14.0010i	−0.700070	−	0.775444i
$327$	1.31653	−	7.46639i	0.0728041	−	0.412893i
$328$	−0.638846	−	2.19505i	−0.0352744	−	0.121202i
$329$	−0.150542	+	0.0547929i	−0.00829966	+	0.00302083i
$330$	19.2712	−	12.0774i	1.06084	−	0.664839i
$331$	1.63910	−	0.946332i	0.0900929	−	0.0520151i	−0.454277	−	0.890861i	$-0.650102\pi$
$331$	1.63910	−	0.946332i	0.0900929	−	0.0520151i	0.544370	+	0.838845i	$0.316769\pi$
$332$	−4.86324	−	0.498161i	−0.266905	−	0.0273401i
$333$	−32.9383	+	39.2544i	−1.80501	+	2.15113i
$334$	18.4924	−	0.670228i	1.01186	−	0.0366732i
$335$	8.14240	−	14.1030i	0.444867	−	0.770532i
$336$	2.26233	+	0.0670361i	0.123420	+	0.00365712i
$337$	−1.61004	−	9.13096i	−0.0877042	−	0.497395i	−0.996740	−	0.0806777i	$-0.974292\pi$
$337$	−1.61004	−	9.13096i	−0.0877042	−	0.497395i	0.909036	−	0.416717i	$-0.136820\pi$
$338$	−8.88680	−	6.92425i	−0.483378	−	0.376629i
$339$	−3.15308	+	8.66302i	−0.171252	+	0.470511i
$340$	4.29241	−	15.1201i	0.232789	−	0.820001i
$341$		−	3.26067i		−	0.176575i
$342$	−23.0700	+	17.3227i	−1.24748	+	0.936705i
$343$	−2.84995			−0.153883
$344$	−6.33118	−	6.06565i	−0.341354	−	0.327038i
$345$	20.1362	+	7.32898i	1.08410	+	0.394579i
$346$	13.7110	−	17.5972i	0.737109	−	0.946030i
$347$	18.1223	−	3.19545i	0.972855	−	0.171541i	0.335440	−	0.942061i	$-0.391115\pi$
$347$	18.1223	−	3.19545i	0.972855	−	0.171541i	0.637415	+	0.770521i	$0.280004\pi$
$348$	−32.4690	−	23.4593i	−1.74052	−	1.25755i
$349$	7.35641	+	4.24723i	0.393780	+	0.227349i	0.683797	−	0.729673i	$-0.260328\pi$
$349$	7.35641	+	4.24723i	0.393780	+	0.227349i	−0.290017	+	0.957022i	$0.593661\pi$
$350$	0.714793	−	0.0259065i	0.0382073	−	0.00138476i
$351$	−16.3310	−	13.7033i	−0.871683	−	0.731429i
$352$	20.6665	−	0.136499i	1.10153	−	0.00727541i
$353$	−6.61918	−	11.4648i	−0.352303	−	0.610208i	0.634349	−	0.773047i	$-0.281268\pi$
$353$	−6.61918	−	11.4648i	−0.352303	−	0.610208i	−0.986653	+	0.162839i	$0.947935\pi$
$354$	−17.4864	−	27.9020i	−0.929391	−	1.48297i
$355$	5.87806	+	16.1498i	0.311975	+	0.857145i
$356$	−15.7190	+	15.2601i	−0.833104	+	0.808783i
$357$	−2.75704	−	0.486141i	−0.145918	−	0.0257293i
$358$	0.336461	+	0.372687i	0.0177825	+	0.0196971i
$359$	−1.01767	+	0.853928i	−0.0537106	+	0.0450686i	−0.669248	−	0.743039i	$-0.733384\pi$
$359$	−1.01767	+	0.853928i	−0.0537106	+	0.0450686i	0.615537	+	0.788108i	$0.288939\pi$
$360$	2.28059	+	20.9013i	0.120198	+	1.10159i
$361$	12.1245	+	14.6286i	0.638131	+	0.769927i
$362$	20.4462	+	10.8368i	1.07463	+	0.569571i
$363$	−4.18187	−	4.98376i	−0.219491	−	0.261580i
$364$	1.81306	−	0.457137i	0.0950300	−	0.0239605i
$365$	5.87363	+	1.03568i	0.307440	+	0.0542100i
$366$	−17.7740	−	5.74919i	−0.929063	−	0.300515i
$367$	16.6617	−	6.06437i	0.869735	−	0.316558i	0.131675	−	0.991293i	$-0.457964\pi$
$367$	16.6617	−	6.06437i	0.869735	−	0.316558i	0.738060	+	0.674735i	$0.235742\pi$
$368$	12.0694	+	15.2810i	0.629159	+	0.796575i
$369$	−1.89136	−	3.27593i	−0.0984603	−	0.170538i
$370$	22.7920	−	9.24362i	1.18490	−	0.480553i
$371$	−0.412782	+	0.491934i	−0.0214306	+	0.0255400i
$372$	4.45180	+	2.15675i	0.230815	+	0.111822i
$373$	12.4976	+	7.21548i	0.647100	+	0.373604i	0.787344	−	0.616513i	$-0.211455\pi$
$373$	12.4976	+	7.21548i	0.647100	+	0.373604i	−0.140244	+	0.990117i	$0.544789\pi$
$374$	−25.3195	−	3.52432i	−1.30924	−	0.182238i
$375$	5.71524	+	32.4127i	0.295134	+	1.67379i
$376$	0.146035	−	2.21447i	0.00753117	−	0.114203i
$377$	−31.0967	−	11.3183i	−1.60156	−	0.582921i
$378$	1.31462	−	0.281247i	0.0676168	−	0.0144658i
$379$			17.6613i			0.907202i	0.891205	+	0.453601i	$0.149861\pi$
$379$			17.6613i			0.907202i	−0.891205	+	0.453601i	$0.850139\pi$
$380$	13.6774	−	2.16082i	0.701634	−	0.110848i
$381$		−	17.3048i		−	0.886554i
$382$	−3.58264	−	16.7462i	−0.183304	−	0.856810i
$383$	22.6022	+	8.22654i	1.15492	+	0.420357i	0.847280	−	0.531146i	$-0.178238\pi$
$383$	22.6022	+	8.22654i	1.15492	+	0.420357i	0.307640	+	0.951503i	$0.400461\pi$
$384$	−13.4833	+	28.3062i	−0.688068	+	1.44450i
$385$	0.205743	+	1.16683i	0.0104857	+	0.0594671i
$386$	−4.27538	+	30.7152i	−0.217611	+	1.56336i
$387$	−12.5640	−	7.25385i	−0.638666	−	0.368734i
$388$	−15.8562	+	32.7292i	−0.804976	+	1.66157i
$389$	−8.69047	+	10.3569i	−0.440624	+	0.525116i	−0.939956	−	0.341295i	$-0.889134\pi$
$389$	−8.69047	+	10.3569i	−0.440624	+	0.525116i	0.499332	+	0.866411i	$0.333579\pi$
$390$	10.7127	+	26.4143i	0.542457	+	1.33754i
$391$	−12.0431	−	20.8592i	−0.609044	−	1.05489i
$392$	7.93370	−	18.0111i	0.400713	−	0.909700i
$393$	−32.8651	+	11.9619i	−1.65783	+	0.603399i
$394$	7.78478	−	24.0672i	0.392192	−	1.21249i
$395$	−25.0466	−	4.41638i	−1.26023	−	0.222212i
$396$	33.1586	−	8.36048i	1.66628	−	0.420130i
$397$	−16.9216	−	20.1664i	−0.849270	−	1.01212i	−0.999724	−	0.0235033i	$-0.992518\pi$
$397$	−16.9216	−	20.1664i	−0.849270	−	1.01212i	0.150454	−	0.988617i	$-0.451926\pi$
$398$	10.5961	−	19.9921i	0.531136	−	1.00211i
$399$	−0.631126	−	2.38428i	−0.0315958	−	0.119363i
$400$	−3.66317	+	9.20643i	−0.183159	+	0.460322i
$401$	−0.0988340	+	0.0829316i	−0.00493553	+	0.00414140i	−0.645252	−	0.763970i	$-0.723248\pi$
$401$	−0.0988340	+	0.0829316i	−0.00493553	+	0.00414140i	0.640317	+	0.768111i	$0.278803\pi$
$402$	29.8254	−	26.9263i	1.48755	−	1.34296i
$403$	4.02455	+	0.709637i	0.200477	+	0.0353495i
$404$	−18.0530	−	18.5959i	−0.898171	−	0.925179i
$405$	−0.617903	−	1.69767i	−0.0307038	−	0.0843581i
$406$	1.76828	−	1.10819i	0.0877581	−	0.0549987i
$407$	−20.0012	−	34.6432i	−0.991425	−	1.71720i
$408$	21.5591	−	32.2376i	1.06734	−	1.59600i
$409$	−7.95580	−	6.67571i	−0.393389	−	0.330092i	0.424543	−	0.905408i	$-0.360435\pi$
$409$	−7.95580	−	6.67571i	−0.393389	−	0.330092i	−0.817932	+	0.575315i	$0.804879\pi$
$410$	0.0657603	+	1.81441i	0.00324767	+	0.0896072i
$411$	10.5760	+	6.10604i	0.521674	+	0.301189i
$412$	21.4547	+	15.5013i	1.05700	+	0.763694i
$413$	1.68940	−	0.297888i	0.0831302	−	0.0146581i
$414$	25.4158	+	19.8030i	1.24912	+	0.973265i
$415$	3.64836	+	1.32789i	0.179091	+	0.0651837i
$416$	−4.32928	+	25.5377i	−0.212260	+	1.25209i
$417$	−30.0056			−1.46938
$418$	−6.54774	−	21.5484i	−0.320260	−	1.05397i
$419$		−	9.91942i		−	0.484595i	−0.970202	−	0.242298i	$-0.922099\pi$
$419$		−	9.91942i		−	0.484595i	0.970202	−	0.242298i	$-0.0779010\pi$
$420$	−1.72916	−	0.490888i	−0.0843743	−	0.0239529i
$421$	0.207787	−	0.570890i	0.0101269	−	0.0278235i	−0.934526	−	0.355894i	$-0.884176\pi$
$421$	0.207787	−	0.570890i	0.0101269	−	0.0278235i	0.944653	+	0.328071i	$0.106398\pi$
$422$	−6.43393	+	8.25752i	−0.313199	+	0.401970i
$423$	−0.637656	−	3.61632i	−0.0310039	−	0.175832i
$424$	−3.93139	−	7.98013i	−0.190925	−	0.387549i
$425$	6.12803	−	10.6141i	0.297253	−	0.514858i
$426$	1.53594	+	42.3784i	0.0744164	+	2.05324i
$427$	0.625561	−	0.745515i	0.0302730	−	0.0360780i
$428$	−9.62608	−	0.986037i	−0.465294	−	0.0476619i
$429$	40.1489	−	23.1800i	1.93841	−	1.11914i
$430$	3.69778	+	5.90032i	0.178323	+	0.284539i
$431$	−22.4908	+	8.18597i	−1.08334	+	0.394305i	−0.821151	−	0.570711i	$-0.806668\pi$
$431$	−22.4908	+	8.18597i	−1.08334	+	0.394305i	−0.262192	+	0.965016i	$0.584445\pi$
$432$	−3.77571	+	18.2366i	−0.181659	+	0.877409i
$433$	−6.86261	+	38.9198i	−0.329796	+	1.87037i	0.143776	+	0.989610i	$0.454076\pi$
$433$	−6.86261	+	38.9198i	−0.329796	+	1.87037i	−0.473572	+	0.880755i	$0.657036\pi$
$434$	−0.191286	+	0.172692i	−0.00918200	+	0.00828950i
$435$	20.4488	+	24.3699i	0.980443	+	1.16845i
$436$	−4.52800	+	3.07161i	−0.216852	+	0.147103i
$437$	12.2237	−	17.3451i	0.584740	−	0.829730i
$438$	13.0030	+	6.89178i	0.621305	+	0.329302i
$439$	22.0869	−	18.5331i	1.05415	−	0.884539i	0.0606279	−	0.998160i	$-0.480690\pi$
$439$	22.0869	−	18.5331i	1.05415	−	0.884539i	0.993524	+	0.113622i	$0.0362453\pi$
$440$	−15.9414	−	3.90759i	−0.759974	−	0.186287i
$441$	5.65487	−	32.0704i	0.269280	−	1.52716i
$442$	9.86037	−	30.4841i	0.469010	−	1.44998i
$443$	13.5556	+	37.2436i	0.644045	+	1.76950i	0.638632	+	0.769512i	$0.279501\pi$
$443$	13.5556	+	37.2436i	0.644045	+	1.76950i	0.00541262	+	0.999985i	$0.498277\pi$
$444$	60.5279	−	4.39325i	2.87253	−	0.208494i
$445$	15.0678	−	8.69941i	0.714284	−	0.412392i
$446$	−5.52911	+	2.24241i	−0.261811	+	0.106181i
$447$	3.56477	+	2.99119i	0.168608	+	0.141479i
$448$	−1.10255	−	1.20516i	−0.0520906	−	0.0569384i
$449$	11.7380	−	20.3307i	0.553949	−	0.959467i	−0.444036	−	0.896009i	$-0.646454\pi$
$449$	11.7380	−	20.3307i	0.553949	−	0.959467i	0.997985	−	0.0634581i	$-0.0202129\pi$
$450$	−2.26028	+	16.2383i	−0.106551	+	0.765483i
$451$	2.90810	−	0.512776i	0.136937	−	0.0241457i
$452$	6.07085	−	2.72216i	0.285549	−	0.128039i
$453$	−10.4397	+	28.6829i	−0.490500	+	1.34764i
$454$	−23.1946	+	4.96219i	−1.08858	+	0.232887i
$455$	−1.48496			−0.0696159
$456$	33.7510	+	5.31342i	1.58054	+	0.248824i
$457$	−22.4105			−1.04832			−0.524160	−	0.851620i	$-0.675621\pi$
$457$	−22.4105			−1.04832			−0.524160	+	0.851620i	$0.675621\pi$
$458$	−14.3268	+	3.06504i	−0.669446	+	0.143220i
$459$	7.87872	−	21.6466i	0.367747	−	1.01038i
$460$	−6.32734	−	14.1110i	−0.295014	−	0.657929i
$461$	12.8999	−	2.27461i	0.600810	−	0.105939i	0.135033	−	0.990841i	$-0.456886\pi$
$461$	12.8999	−	2.27461i	0.600810	−	0.105939i	0.465777	+	0.884902i	$0.345775\pi$
$462$	−0.403048	+	2.89558i	−0.0187515	+	0.134715i
$463$	3.91978	−	6.78926i	0.182168	−	0.315524i	−0.760451	−	0.649396i	$-0.775022\pi$
$463$	3.91978	−	6.78926i	0.182168	−	0.315524i	0.942618	+	0.333872i	$0.108355\pi$
$464$	4.17452	+	28.6057i	0.193797	+	1.32799i
$465$	−3.00947	−	2.52525i	−0.139561	−	0.117106i
$466$	−23.7849	+	9.64629i	−1.10181	+	0.446856i
$467$	13.9158	−	8.03429i	0.643946	−	0.371783i	−0.142187	−	0.989840i	$-0.545413\pi$
$467$	13.9158	−	8.03429i	0.643946	−	0.371783i	0.786133	+	0.618057i	$0.212080\pi$
$468$	3.10261	+	42.7462i	0.143418	+	1.97594i
$469$	0.715962	+	1.96709i	0.0330600	+	0.0908317i
$470$	−0.542431	+	1.67696i	−0.0250205	+	0.0773526i
$471$	3.85503	−	21.8630i	0.177631	−	1.00739i
$472$	−5.65765	+	23.0808i	−0.260414	+	1.06238i
$473$	8.67572	−	7.27979i	0.398910	−	0.334725i
$474$	−55.4477	−	29.3882i	−2.54680	−	1.34984i
$475$	10.7535	+	0.973665i	0.493404	+	0.0446748i
$476$	1.13422	+	1.67201i	0.0519870	+	0.0766364i
$477$	−9.46159	−	11.2759i	−0.433217	−	0.516287i
$478$	−29.0272	+	26.2057i	−1.32767	+	1.19862i
$479$	−4.09584	+	23.2287i	−0.187144	+	1.06135i	0.736026	+	0.676953i	$0.236700\pi$
$479$	−4.09584	+	23.2287i	−0.187144	+	1.06135i	−0.923170	+	0.384392i	$0.874411\pi$
$480$	15.8793	−	19.1801i	0.724788	−	0.875447i
$481$	47.1120	−	17.1473i	2.14812	−	0.781852i
$482$	−8.95200	−	14.2842i	−0.407753	−	0.650626i
$483$	−2.38549	+	1.37727i	−0.108544	+	0.0626677i
$484$	−0.478442	+	4.67074i	−0.0217474	+	0.212306i
$485$	18.5654	−	22.1254i	0.843011	−	1.00466i
$486$	−0.876906	−	24.1949i	−0.0397773	−	1.09750i
$487$	−19.0235	+	32.9496i	−0.862036	+	1.49309i	0.00792444	+	0.999969i	$0.497478\pi$
$487$	−19.0235	+	32.9496i	−0.862036	+	1.49309i	−0.869960	+	0.493122i	$0.835856\pi$
$488$	5.95793	+	12.0937i	0.269703	+	0.547456i
$489$	6.41859	+	36.4016i	0.290259	+	1.64614i
$490$	−9.60671	+	12.3296i	−0.433987	+	0.556993i
$491$	10.5176	−	28.8969i	0.474654	−	1.30410i	−0.439322	−	0.898330i	$-0.644781\pi$
$491$	10.5176	−	28.8969i	0.474654	−	1.30410i	0.913975	−	0.405770i	$-0.132997\pi$
$492$	−1.22344	+	4.30959i	−0.0551571	+	0.194291i
$493$		−	35.7581i		−	1.61046i
$494$	28.0216	−	3.39198i	1.26075	−	0.152612i
$495$	−27.1581			−1.22067
$496$	−1.12111	−	3.38938i	−0.0503393	−	0.152188i
$497$	−2.07599	−	0.755597i	−0.0931207	−	0.0338932i
$498$	7.55681	+	5.88797i	0.338629	+	0.263846i
$499$	−9.57801	+	1.68886i	−0.428771	+	0.0756038i	−0.383869	−	0.923388i	$-0.625409\pi$
$499$	−9.57801	+	1.68886i	−0.428771	+	0.0756038i	−0.0449016	+	0.998991i	$0.514297\pi$
$500$	13.9107	−	19.2532i	0.622104	−	0.861027i
$501$	−31.4033	−	18.1307i	−1.40300	−	0.810021i
$502$	0.0217197	+	0.599274i	0.000969399	+	0.0267469i
$503$	4.00231	+	3.35834i	0.178454	+	0.149741i	0.727639	−	0.685960i	$-0.240617\pi$
$503$	4.00231	+	3.35834i	0.178454	+	0.149741i	−0.549185	+	0.835701i	$0.685062\pi$
$504$	−2.24662	−	1.50244i	−0.100072	−	0.0669241i
$505$	10.2916	+	17.8256i	0.457970	+	0.793227i
$506$	−21.3127	+	13.3568i	−0.947466	+	0.593784i
$507$	7.55064	+	20.7452i	0.335336	+	0.921328i
$508$	−8.96065	+	8.69906i	−0.397564	+	0.385959i
$509$	−3.76430	−	0.663747i	−0.166849	−	0.0294201i	0.0895993	−	0.995978i	$-0.471441\pi$
$509$	−3.76430	−	0.663747i	−0.166849	−	0.0294201i	−0.256449	+	0.966558i	$0.582552\pi$
$510$	−22.8616	+	20.6395i	−1.01233	+	0.913931i
$511$	−0.587307	+	0.492809i	−0.0259809	+	0.0218006i
$512$	21.4353	−	7.24760i	0.947316	−	0.320302i
$513$	20.2224	−	1.70747i	0.892840	−	0.0753868i
$514$	0.832540	−	1.57078i	0.0367218	−	0.0692843i
$515$	−13.5120	−	16.1030i	−0.595410	−	0.709582i
$516$	4.20062	+	16.6601i	0.184922	+	0.733421i
$517$	2.82306	+	0.497782i	0.124158	+	0.0218924i
$518$	−0.973012	+	3.00814i	−0.0427517	+	0.132170i
$519$	−41.0786	+	14.9514i	−1.80315	+	0.656293i
$520$	8.29241	−	18.8255i	0.363646	−	0.825552i
$521$	−8.93745	−	15.4801i	−0.391557	−	0.678196i	0.601098	−	0.799175i	$-0.294730\pi$
$521$	−8.93745	−	15.4801i	−0.391557	−	0.678196i	−0.992655	+	0.120979i	$0.961397\pi$
$522$	17.9773	+	44.3268i	0.786846	+	1.94013i
$523$	8.22218	−	9.79881i	0.359531	−	0.428472i	−0.555712	−	0.831375i	$-0.687554\pi$
$523$	8.22218	−	9.79881i	0.359531	−	0.428472i	0.915243	+	0.402903i	$0.131999\pi$
$524$	22.7152	+	11.0047i	0.992316	+	0.480744i
$525$	−1.21384	−	0.700812i	−0.0529764	−	0.0305860i
$526$	−2.39559	+	17.2105i	−0.104453	+	0.750412i
$527$	0.766800	+	4.34874i	0.0334023	+	0.189434i
$528$	−34.4579	−	21.2794i	−1.49959	−	0.926065i
$529$	−0.656453	−	0.238929i	−0.0285414	−	0.0103882i
$530$	1.47802	+	6.90867i	0.0642013	+	0.300093i
$531$			39.3211i			1.70639i
$532$	−0.917345	+	1.52537i	−0.0397719	+	0.0661333i
$533$			3.70097i			0.160307i
$534$	41.9807	−	8.98124i	1.81668	−	0.388656i
$535$	7.22140	+	2.62837i	0.312208	+	0.113634i
$536$	−28.9358	−	1.90819i	−1.24984	−	0.0824214i
$537$	−0.170854	−	0.968959i	−0.00737288	−	0.0418137i
$538$	−5.30058	−	0.737809i	−0.228524	−	0.0318092i
$539$	22.0159	+	12.7109i	0.948291	+	0.547496i
$540$	6.44850	−	13.3105i	0.277499	−	0.572794i
$541$	15.4165	−	18.3727i	0.662807	−	0.789902i	−0.324979	−	0.945721i	$-0.605357\pi$
$541$	15.4165	−	18.3727i	0.662807	−	0.789902i	0.987786	+	0.155819i	$0.0498017\pi$
$542$	−20.4087	+	8.27703i	−0.876629	+	0.355529i
$543$	−22.6730	−	39.2708i	−0.972993	−	1.68527i
$544$	−27.5307	+	5.04211i	−1.18037	+	0.216178i
$545$	4.08332	−	1.48621i	0.174910	−	0.0636620i
$546$	−3.48621	−	1.12765i	−0.149196	−	0.0482589i
$547$	−37.5732	−	6.62517i	−1.60651	−	0.283272i	−0.702793	−	0.711395i	$-0.748064\pi$
$547$	−37.5732	−	6.62517i	−1.60651	−	0.283272i	−0.903720	+	0.428123i	$0.859175\pi$
$548$	−2.15471	−	8.54583i	−0.0920447	−	0.365060i
$549$	14.3388	+	17.0883i	0.611966	+	0.729312i
$550$	−11.3084	−	5.99364i	−0.482192	−	0.255570i
$551$	28.5912	−	13.2269i	1.21803	−	0.563487i
$552$	−4.13897	−	37.9330i	−0.176166	−	1.61454i
$553$	2.50442	−	2.10145i	0.106499	−	0.0893629i
$554$	15.1277	+	16.7565i	0.642715	+	0.711914i
$555$	−47.4643	−	8.36925i	−2.01475	−	0.355255i
$556$	15.0837	+	15.5372i	0.639690	+	0.658926i
$557$	11.1261	+	30.5688i	0.471430	+	1.29524i	0.916603	+	0.399798i	$0.130920\pi$
$557$	11.1261	+	30.5688i	0.471430	+	1.29524i	−0.445173	+	0.895444i	$0.646858\pi$
$558$	−3.13687	−	5.00531i	−0.132794	−	0.211892i
$559$	7.09709	+	12.2925i	0.300175	+	0.519918i
$560$	0.615052	+	1.14214i	0.0259907	+	0.0482644i
$561$	38.3745	+	32.2000i	1.62017	+	1.35949i
$562$	−7.59076	+	0.275115i	−0.320197	+	0.0116050i
$563$	−13.6285	−	7.86840i	−0.574371	−	0.331613i	0.184522	−	0.982828i	$-0.440926\pi$
$563$	−13.6285	−	7.86840i	−0.574371	−	0.331613i	−0.758893	+	0.651215i	$0.774260\pi$
$564$	−2.54691	+	3.52507i	−0.107244	+	0.148432i
$565$	−5.20358	+	0.917532i	−0.218916	+	0.0386009i
$566$	6.66399	−	8.55279i	0.280109	−	0.359500i
$567$	0.218228	+	0.0794284i	0.00916471	+	0.00333568i
$568$	21.1719	−	22.0988i	0.888355	−	0.927244i
$569$	4.20578			0.176315			0.0881577	−	0.996107i	$-0.471902\pi$
$569$	4.20578			0.176315			0.0881577	+	0.996107i	$0.471902\pi$
$570$	−24.9593	−	10.6450i	−1.04543	−	0.445871i
$571$			6.10665i			0.255555i	0.991803	+	0.127778i	$0.0407844\pi$
$571$			6.10665i			0.255555i	−0.991803	+	0.127778i	$0.959216\pi$
$572$	−32.1855	−	9.13709i	−1.34574	−	0.382041i
$573$	−11.4776	+	31.5345i	−0.479485	+	1.31737i
$574$	−0.184101	−	0.143444i	−0.00768422	−	0.00598724i
$575$	−2.09400	−	11.8757i	−0.0873259	−	0.495250i
$576$	31.5929	−	20.0913i	1.31637	−	0.837138i
$577$	−8.10967	+	14.0464i	−0.337610	+	0.584757i	−0.983983	−	0.178264i	$-0.942952\pi$
$577$	−8.10967	+	14.0464i	−0.337610	+	0.584757i	0.646373	+	0.763022i	$0.276285\pi$
$578$	10.5714	−	0.383142i	0.439711	−	0.0159366i
$579$	39.0620	−	46.5523i	1.62336	−	1.93465i
$580$	2.33951	−	22.8392i	0.0971429	−	0.948347i
$581$	−0.432213	+	0.249539i	−0.0179312	+	0.0103526i
$582$	60.3873	−	37.8452i	2.50313	−	1.56873i
$583$	10.7978	−	3.93008i	0.447199	−	0.162767i
$584$	−2.96788	−	10.1975i	−0.122812	−	0.421977i
$585$	5.91055	−	33.5204i	0.244371	−	1.38590i
$586$	20.5170	+	22.7260i	0.847548	+	0.938801i
$587$	10.4336	+	12.4342i	0.430639	+	0.513215i	0.937106	−	0.349044i	$-0.113493\pi$
$587$	10.4336	+	12.4342i	0.430639	+	0.513215i	−0.506468	+	0.862259i	$0.669049\pi$
$588$	−31.9164	+	21.6508i	−1.31621	+	0.892862i
$589$	−3.19349	+	2.22171i	−0.131586	+	0.0915440i
$590$	8.83832	−	16.6756i	0.363868	−	0.686523i
$591$	−37.9712	+	31.8616i	−1.56193	+	1.31061i
$592$	−32.7020	−	29.1336i	−1.34404	−	1.19738i
$593$	5.59287	−	31.7187i	0.229672	−	1.30253i	−0.623878	−	0.781521i	$-0.714444\pi$
$593$	5.59287	−	31.7187i	0.229672	−	1.30253i	0.853550	−	0.521011i	$-0.174445\pi$
$594$	−22.8880	−	7.40333i	−0.939104	−	0.303763i
$595$	−0.548797	−	1.50781i	−0.0224985	−	0.0618141i
$596$	−0.243116	−	3.34954i	−0.00995844	−	0.137202i
$597$	−38.3986	+	22.1694i	−1.57155	+	0.907335i
$598$	−11.8476	−	29.2126i	−0.484482	−	1.19459i
$599$	−25.1103	−	21.0700i	−1.02598	−	0.860898i	−0.0356114	−	0.999366i	$-0.511338\pi$
$599$	−25.1103	−	21.0700i	−1.02598	−	0.860898i	−0.990367	+	0.138468i	$0.955782\pi$
$600$	15.6630	−	11.4749i	0.639438	−	0.468461i
$601$	3.03423	−	5.25544i	0.123769	−	0.214374i	−0.797482	−	0.603342i	$-0.793835\pi$
$601$	3.03423	−	5.25544i	0.123769	−	0.214374i	0.921251	+	0.388969i	$0.127169\pi$
$602$	−0.886550	−	0.123402i	−0.0361331	−	0.00502951i
$603$	−47.2534	+	8.33205i	−1.92431	+	0.339307i
$604$	20.1003	−	9.01294i	0.817870	−	0.366731i
$605$	1.27533	−	3.50394i	0.0518496	−	0.142456i
$606$	10.6250	+	49.6640i	0.431611	+	2.01746i
$607$	11.6380			0.472372			0.236186	−	0.971708i	$-0.424102\pi$
$607$	11.6380			0.472372			0.236186	+	0.971708i	$0.424102\pi$
$608$	−14.2151	−	20.1477i	−0.576500	−	0.817097i
$609$	−4.08936			−0.165709
$610$	−2.23991	−	10.4699i	−0.0906913	−	0.423915i
$611$	−1.22879	+	3.37608i	−0.0497117	+	0.136582i
$612$	−42.2573	+	18.9481i	−1.70815	+	0.765931i
$613$	−28.1523	+	4.96401i	−1.13706	+	0.200495i	−0.710320	−	0.703879i	$-0.751450\pi$
$613$	−28.1523	+	4.96401i	−1.13706	+	0.200495i	−0.426742	+	0.904374i	$0.640339\pi$
$614$	−3.11032	−	0.432938i	−0.125522	−	0.0174720i
$615$	1.77892	−	3.08118i	0.0717330	−	0.124245i
$616$	1.70198	−	1.24689i	0.0685746	−	0.0502387i
$617$	27.2249	+	22.8444i	1.09603	+	0.919681i	0.997152	−	0.0754178i	$-0.0240290\pi$
$617$	27.2249	+	22.8444i	1.09603	+	0.919681i	0.0988816	+	0.995099i	$0.468473\pi$
$618$	−19.4936	−	48.0654i	−0.784147	−	1.93348i
$619$	−25.6169	+	14.7900i	−1.02963	+	0.594458i	−0.916879	−	0.399165i	$-0.869300\pi$
$619$	−25.6169	+	14.7900i	−1.02963	+	0.594458i	−0.112753	+	0.993623i	$0.535967\pi$
$620$	0.205246	+	2.82777i	0.00824286	+	0.113566i
$621$	−7.75195	−	21.2983i	−0.311075	−	0.854672i
$622$	−5.46903	−	1.76901i	−0.219288	−	0.0709309i
$623$	−0.388370	+	2.20256i	−0.0155597	+	0.0882436i
$624$	33.7637	−	37.8992i	1.35163	−	1.51718i
$625$	−4.96272	+	4.16422i	−0.198509	+	0.166569i
$626$	−1.06696	+	2.01307i	−0.0426444	+	0.0804586i
$627$	−11.5515	+	42.5940i	−0.461324	+	1.70104i
$628$	−13.2588	+	8.99424i	−0.529084	+	0.358909i
$629$	34.8224	+	41.4997i	1.38846	+	1.65470i
$630$	1.43835	+	1.59321i	0.0573053	+	0.0634751i
$631$	−3.21569	+	18.2371i	−0.128014	+	0.726006i	0.851457	+	0.524424i	$0.175719\pi$
$631$	−3.21569	+	18.2371i	−0.128014	+	0.726006i	−0.979472	+	0.201582i	$0.935392\pi$
$632$	12.6558	+	43.4847i	0.503419	+	1.72973i
$633$	19.2762	−	7.01597i	0.766161	−	0.278860i
$634$	−5.65511	+	3.54410i	−0.224593	+	0.140754i
$635$	8.58946	−	4.95913i	0.340862	−	0.196797i
$636$	−1.77638	+	17.3418i	−0.0704382	+	0.687645i
$637$	−20.4801	+	24.4072i	−0.811449	+	0.967048i
$638$	−37.3164	+	1.35247i	−1.47737	+	0.0535450i
$639$	25.3193	−	43.8543i	1.00162	−	1.73485i
$640$	−17.9141	+	1.41924i	−0.708118	+	0.0561006i
$641$	8.21247	+	46.5753i	0.324373	+	1.83961i	0.514044	+	0.857764i	$0.328147\pi$
$641$	8.21247	+	46.5753i	0.324373	+	1.83961i	−0.189670	+	0.981848i	$0.560742\pi$
$642$	14.9576	+	11.6544i	0.590330	+	0.459962i
$643$	3.83762	−	10.5438i	0.151341	−	0.415806i	−0.840735	−	0.541447i	$-0.817877\pi$
$643$	3.83762	−	10.5438i	0.151341	−	0.415806i	0.992076	+	0.125641i	$0.0400988\pi$
$644$	1.91234	+	0.542891i	0.0753568	+	0.0213929i
$645$		−	13.6452i		−	0.537280i
$646$	13.8001	+	27.1992i	0.542959	+	1.07014i
$647$	2.26020			0.0888575			0.0444288	−	0.999013i	$-0.485853\pi$
$647$	2.26020			0.0888575			0.0444288	+	0.999013i	$0.485853\pi$
$648$	−2.22560	+	2.32302i	−0.0874296	+	0.0912570i
$649$	−28.8446	−	10.4986i	−1.13225	−	0.412105i
$650$	9.85886	−	12.6532i	0.386696	−	0.496299i
$651$	0.497329	−	0.0876925i	0.0194919	−	0.00343694i
$652$	15.6226	−	21.6226i	0.611828	−	0.846805i
$653$	−34.2483	−	19.7733i	−1.34024	−	0.773787i	−0.353397	−	0.935474i	$-0.614973\pi$
$653$	−34.2483	−	19.7733i	−1.34024	−	0.773787i	−0.986842	+	0.161686i	$0.948307\pi$
$654$	10.7149	−	0.388345i	0.418987	−	0.0151855i
$655$	−15.3557	−	12.8850i	−0.599999	−	0.503459i
$656$	2.84658	−	1.53290i	0.111140	−	0.0598497i
$657$	−8.78668	−	15.2190i	−0.342801	−	0.593749i
$658$	−0.120313	−	0.191977i	−0.00469030	−	0.00748404i
$659$	4.39863	+	12.0851i	0.171346	+	0.470771i	0.995407	−	0.0957308i	$-0.0305188\pi$
$659$	4.39863	+	12.0851i	0.171346	+	0.470771i	−0.824061	+	0.566501i	$0.808297\pi$
$660$	22.4036	+	23.0773i	0.872060	+	0.898283i
$661$	−18.2318	−	3.21475i	−0.709133	−	0.125039i	−0.192564	−	0.981285i	$-0.561680\pi$
$661$	−18.2318	−	3.21475i	−0.709133	−	0.125039i	−0.516570	+	0.856245i	$0.672791\pi$
$662$	1.79364	+	1.98676i	0.0697119	+	0.0772175i
$663$	−48.0951	+	40.3566i	−1.86786	+	1.56732i
$664$	−0.749915	−	6.87286i	−0.0291024	−	0.266719i
$665$	1.00260	−	0.996542i	0.0388792	−	0.0386442i
$666$	−64.0307	−	33.9373i	−2.48114	−	1.31504i
$667$	−22.6150	−	26.9516i	−0.875658	−	1.04357i
$668$	6.39801	+	25.3752i	0.247547	+	0.981798i
$669$	11.5144	+	2.03029i	0.445171	+	0.0784956i
$670$	21.9124	+	7.08778i	0.846549	+	0.273825i
$671$	−16.3638	+	5.95594i	−0.631718	+	0.229927i
$672$	0.576624	+	3.14845i	0.0222438	+	0.121454i
$673$	4.55709	+	7.89312i	0.175663	+	0.304257i	0.940391	−	0.340096i	$-0.110460\pi$
$673$	4.55709	+	7.89312i	0.175663	+	0.304257i	−0.764727	+	0.644354i	$0.777126\pi$
$674$	12.1510	−	4.92802i	0.468041	−	0.189820i
$675$	7.41329	−	8.83482i	0.285338	−	0.340052i
$676$	6.94644	−	14.3383i	0.267171	−	0.551474i
$677$	42.8729	+	24.7527i	1.64774	+	0.951323i	0.977968	+	0.208755i	$0.0669412\pi$
$677$	42.8729	+	24.7527i	1.64774	+	0.951323i	0.669771	+	0.742567i	$0.266392\pi$
$678$	−12.9131	−	1.79743i	−0.495926	−	0.0690299i
$679$	0.644707	+	3.65632i	0.0247416	+	0.140317i
$680$	22.1798	+	1.46266i	0.850556	+	0.0560905i
$681$	43.6774	+	15.8973i	1.67372	+	0.609184i
$682$	4.50925	−	0.964698i	0.172668	−	0.0369402i
$683$		−	12.4974i		−	0.478200i	−0.970995	−	0.239100i	$-0.923148\pi$
$683$		−	12.4974i		−	0.478200i	0.970995	−	0.239100i	$-0.0768524\pi$
$684$	−30.7814	−	26.7789i	−1.17696	−	1.02392i
$685$			6.99934i			0.267431i
$686$	−0.843183	−	3.94126i	−0.0321929	−	0.150478i
$687$	26.9786	+	9.81939i	1.02930	+	0.374633i
$688$	6.51517	−	10.5501i	0.248389	−	0.402218i
$689$	2.50080	+	14.1827i	0.0952727	+	0.540319i
$690$	−4.17792	+	30.0151i	−0.159051	+	1.14266i
$691$	19.7759	+	11.4176i	0.752310	+	0.434346i	0.826528	−	0.562896i	$-0.190313\pi$
$691$	19.7759	+	11.4176i	0.752310	+	0.434346i	−0.0742181	+	0.997242i	$0.523646\pi$
$692$	28.3920	+	13.7550i	1.07930	+	0.522886i
$693$	2.24400	−	2.67429i	0.0852424	−	0.101588i
$694$	9.78068	+	24.1163i	0.371269	+	0.915441i
$695$	−8.59884	−	14.8936i	−0.326173	−	0.564948i
$696$	22.8361	−	51.8427i	0.865601	−	1.96509i
$697$	−3.75792	+	1.36777i	−0.142341	+	0.0518080i
$698$	−3.69712	+	11.4299i	−0.139938	+	0.432628i
$699$	49.5320	+	8.73382i	1.87347	+	0.330344i
$700$	0.247304	+	0.980837i	0.00934722	+	0.0370722i
$701$	−14.8137	−	17.6543i	−0.559507	−	0.666795i	0.409935	−	0.912115i	$-0.365551\pi$
$701$	−14.8137	−	17.6543i	−0.559507	−	0.666795i	−0.969442	+	0.245320i	$0.921107\pi$
$702$	14.1189	−	26.6387i	0.532884	−	1.00541i
$703$	−20.3012	+	43.1938i	−0.765676	+	1.62909i
$704$	6.30313	+	28.5397i	0.237558	+	1.07563i
$705$	2.64577	−	2.22006i	0.0996454	−	0.0836124i
$706$	13.8965	−	12.5457i	0.523002	−	0.472165i
$707$	−2.60567	−	0.459450i	−0.0979964	−	0.0172794i
$708$	33.4127	−	32.4373i	1.25573	−	1.21907i
$709$	−8.11562	−	22.2975i	−0.304788	−	0.837399i	−0.993651	−	0.112507i	$-0.964112\pi$
$709$	−8.11562	−	22.2975i	−0.304788	−	0.837399i	0.688862	−	0.724892i	$-0.258110\pi$
$710$	−20.5949	+	12.9070i	−0.772912	+	0.484390i
$711$	37.4685	+	64.8973i	1.40518	+	2.43384i
$712$	−25.7541	−	17.2232i	−0.965175	−	0.645468i
$713$	3.32829	+	2.79277i	0.124645	+	0.104590i
$714$	−0.143401	−	3.95660i	−0.00536663	−	0.148072i
$715$	23.0113	+	13.2856i	0.860573	+	0.496852i
$716$	−0.415851	+	0.575561i	−0.0155411	+	0.0215097i
$717$	75.4686	−	13.3072i	2.81843	−	0.496965i
$718$	−1.48200	−	1.15472i	−0.0553078	−	0.0430936i
$719$	13.1264	+	4.77763i	0.489533	+	0.178175i	0.574980	−	0.818167i	$-0.305010\pi$
$719$	13.1264	+	4.77763i	0.489533	+	0.178175i	−0.0854473	+	0.996343i	$0.527232\pi$
$720$	−28.2301	+	9.33769i	−1.05207	+	0.347995i
$721$	2.70214			0.100633
$722$	−16.6431	+	21.0952i	−0.619391	+	0.785082i
$723$			33.0339i			1.22854i
$724$	−8.93727	+	31.4816i	−0.332151	+	1.17001i
$725$	6.12302	−	16.8229i	0.227403	−	0.624786i
$726$	5.65490	−	7.25769i	0.209873	−	0.269358i
$727$	1.91543	+	10.8629i	0.0710393	+	0.402884i	0.999505	+	0.0314654i	$0.0100174\pi$
$727$	1.91543	+	10.8629i	0.0710393	+	0.402884i	−0.928466	+	0.371419i	$0.878872\pi$
$728$	1.16859	+	2.37206i	0.0433109	+	0.0879145i
$729$	−22.0156	+	38.1321i	−0.815392	+	1.41230i
$730$	0.305502	+	8.42918i	0.0113071	+	0.311978i
$731$	−9.85879	+	11.7492i	−0.364640	+	0.434561i
$732$	2.69207	−	26.2810i	0.0995016	−	0.971374i
$733$	0.624871	−	0.360770i	0.0230801	−	0.0133253i	−0.488416	−	0.872611i	$-0.662425\pi$
$733$	0.624871	−	0.360770i	0.0230801	−	0.0133253i	0.511496	+	0.859286i	$0.329092\pi$
$734$	13.3161	+	21.2476i	0.491504	+	0.784264i
$735$	28.7820	−	10.4758i	1.06164	−	0.386405i
$736$	−17.5615	+	21.2120i	−0.647326	+	0.781883i
$737$	6.50436	−	36.8881i	0.239591	−	1.35879i
$738$	3.97078	−	3.58481i	0.146166	−	0.131959i
$739$	−9.09967	−	10.8446i	−0.334737	−	0.398924i	0.572252	−	0.820078i	$-0.306070\pi$
$739$	−9.09967	−	10.8446i	−0.334737	−	0.398924i	−0.906989	+	0.421154i	$0.861625\pi$
$740$	19.5264	+	28.7848i	0.717805	+	1.05815i
$741$	−50.0584	−	23.5276i	−1.83894	−	0.864310i
$742$	−0.802431	−	0.425302i	−0.0294582	−	0.0156133i
$743$	24.8546	−	20.8555i	0.911828	−	0.765114i	−0.0606382	−	0.998160i	$-0.519314\pi$
$743$	24.8546	−	20.8555i	0.911828	−	0.765114i	0.972466	+	0.233046i	$0.0748692\pi$
$744$	−1.66550	+	6.79457i	−0.0610604	+	0.249101i
$745$	−0.463143	+	2.62661i	−0.0169682	+	0.0962317i
$746$	−6.28092	+	19.4179i	−0.229961	+	0.710941i
$747$	−3.91258	−	10.7497i	−0.143154	−	0.393311i
$748$	−2.61713	−	36.0575i	−0.0956919	−	1.31839i
$749$	−0.855504	+	0.493925i	−0.0312594	+	0.0180476i
$750$	−43.1333	+	17.4933i	−1.57501	+	0.638765i
$751$	−23.9429	−	20.0904i	−0.873688	−	0.733111i	0.0911837	−	0.995834i	$-0.470935\pi$
$751$	−23.9429	−	20.0904i	−0.873688	−	0.733111i	−0.964871	+	0.262723i	$0.915379\pi$
$752$	3.10564	−	0.453216i	0.113251	−	0.0165271i
$753$	0.587553	−	1.01767i	0.0214116	−	0.0370860i
$754$	6.45204	−	46.3529i	0.234970	−	1.68807i
$755$	−17.2288	+	3.03791i	−0.627022	+	0.110561i
$756$	0.777883	+	1.73481i	0.0282913	+	0.0630943i
$757$	−7.90208	+	21.7108i	−0.287206	+	0.789092i	0.709249	+	0.704958i	$0.249034\pi$
$757$	−7.90208	+	21.7108i	−0.287206	+	0.789092i	−0.996455	+	0.0841334i	$0.973188\pi$
$758$	−24.4242	+	5.22526i	−0.887127	+	0.189790i
$759$	49.2883			1.78905
$760$	7.03481	+	18.2754i	0.255179	+	0.662919i
$761$	−14.4437			−0.523585			−0.261792	−	0.965124i	$-0.584314\pi$
$761$	−14.4437			−0.523585			−0.261792	+	0.965124i	$0.584314\pi$
$762$	23.9312	−	5.11979i	0.866936	−	0.185470i
$763$	−0.191045	+	0.524891i	−0.00691628	+	0.0190023i
$764$	22.0987	−	9.90901i	0.799503	−	0.358495i
$765$	36.2205	−	6.38666i	1.30956	−	0.230910i
$766$	−4.68958	+	33.6910i	−0.169442	+	1.21730i
$767$	19.2357	−	33.3171i	0.694559	−	1.20301i
$768$	−43.1344	−	10.2717i	−1.55648	−	0.370649i
$769$	−11.3657	−	9.53695i	−0.409857	−	0.343911i	0.414432	−	0.910080i	$-0.363980\pi$
$769$	−11.3657	−	9.53695i	−0.409857	−	0.343911i	−0.824289	+	0.566169i	$0.808425\pi$
$770$	−1.55276	+	0.629743i	−0.0559576	+	0.0226944i
$771$	−3.01699	+	1.74186i	−0.108654	+	0.0627315i
$772$	−43.7416	+	3.17486i	−1.57430	+	0.114266i
$773$	−9.14574	−	25.1277i	−0.328949	−	0.903781i	−0.988378	−	0.152014i	$-0.951424\pi$
$773$	−9.14574	−	25.1277i	−0.328949	−	0.903781i	0.659429	−	0.751767i	$-0.270798\pi$
$774$	6.31432	−	19.5212i	0.226964	−	0.701674i
$775$	−0.383903	+	2.17722i	−0.0137902	+	0.0782081i
$776$	−49.9530	−	12.2446i	−1.79321	−	0.439557i
$777$	4.74598	−	3.98235i	0.170261	−	0.142866i
$778$	−16.8939	−	8.95405i	−0.605676	−	0.321018i
$779$	−2.48369	−	2.49879i	−0.0889874	−	0.0895285i
$780$	−33.3594	+	22.6297i	−1.19446	+	0.810272i
$781$	25.4099	+	30.2823i	0.909237	+	1.08359i
$782$	25.2836	−	22.8260i	0.904138	−	0.816255i
$783$	5.84302	−	33.1374i	0.208812	−	1.18423i
$784$	27.2552	+	5.64293i	0.973401	+	0.201533i
$785$	11.9567	−	4.35188i	0.426753	−	0.155325i
$786$	−26.2658	−	41.9108i	−0.936870	−	1.49491i
$787$	1.88485	−	1.08822i	0.0671877	−	0.0387908i	−0.466030	−	0.884769i	$-0.654316\pi$
$787$	1.88485	−	1.08822i	0.0671877	−	0.0387908i	0.533218	+	0.845978i	$0.320983\pi$
$788$	35.5862	+	3.64524i	1.26771	+	0.129856i
$789$	21.8874	−	26.0843i	0.779211	−	0.928627i
$790$	−1.30273	−	35.9440i	−0.0463492	−	1.27883i
$791$	0.339607	−	0.588217i	0.0120750	−	0.0209146i
$792$	21.3721	+	43.3822i	0.759426	+	1.54152i
$793$	−3.78990	−	21.4936i	−0.134583	−	0.763259i
$794$	22.8821	−	29.3676i	0.812054	−	1.04222i
$795$	4.73511	−	13.0096i	0.167937	−	0.461404i
$796$	30.7824	+	8.73877i	1.09105	+	0.309737i
$797$		−	7.92133i		−	0.280588i	−0.990110	−	0.140294i	$-0.955195\pi$
$797$		−	7.92133i		−	0.280588i	0.990110	−	0.140294i	$-0.0448048\pi$
$798$	3.11055	−	1.57821i	0.110112	−	0.0558679i
$799$	−3.88216			−0.137341
$800$	−13.8155	−	2.34208i	−0.488453	−	0.0828049i
$801$	−48.1732	−	17.5336i	−1.70212	−	0.619519i
$802$	−0.143929	−	0.112143i	−0.00508230	−	0.00395992i
$803$	13.5101	−	2.38220i	0.476761	−	0.0840659i
$804$	46.0610	+	33.2797i	1.62445	+	1.17369i
$805$	−1.36724	−	0.789379i	−0.0481890	−	0.0278219i
$806$	0.209327	+	5.77558i	0.00737322	+	0.203436i
$807$	8.03361	+	6.74100i	0.282797	+	0.237294i
$808$	20.3755	−	30.4676i	0.716806	−	1.07185i
$809$	8.64218	+	14.9687i	0.303843	+	0.526271i	0.977003	−	0.213225i	$-0.0683969\pi$
$809$	8.64218	+	14.9687i	0.303843	+	0.526271i	−0.673160	+	0.739497i	$0.735064\pi$
$810$	2.16493	−	1.35678i	0.0760681	−	0.0476724i
$811$	−8.06735	−	22.1649i	−0.283283	−	0.778314i	−0.996966	−	0.0778444i	$-0.975196\pi$
$811$	−8.06735	−	22.1649i	−0.283283	−	0.778314i	0.713683	−	0.700469i	$-0.247026\pi$
$812$	2.05570	+	2.11752i	0.0721410	+	0.0743103i
$813$	42.5010	+	7.49408i	1.49058	+	0.262829i
$814$	41.9912	−	37.9096i	1.47179	−	1.32873i
$815$	−16.2290	+	13.6177i	−0.568476	+	0.477008i
$816$	50.9604	+	20.2768i	1.78397	+	0.709830i
$817$	−13.0411	−	3.53677i	−0.456252	−	0.123736i
$818$	6.87818	−	12.9773i	0.240490	−	0.453741i
$819$	2.81242	+	3.35172i	0.0982741	+	0.117118i
$820$	−2.48973	+	0.627749i	−0.0869450	+	0.0219220i
$821$	6.47055	+	1.14093i	0.225824	+	0.0398188i	0.285415	−	0.958404i	$-0.407869\pi$
$821$	6.47055	+	1.14093i	0.225824	+	0.0398188i	−0.0595911	+	0.998223i	$0.518980\pi$
$822$	−5.31517	+	16.4322i	−0.185388	+	0.573140i
$823$	8.33186	−	3.03255i	0.290430	−	0.105708i	−0.192696	−	0.981258i	$-0.561723\pi$
$823$	8.33186	−	3.03255i	0.290430	−	0.105708i	0.483127	+	0.875550i	$0.339501\pi$
$824$	−15.0895	+	34.2563i	−0.525668	+	1.19337i
$825$	12.5400	+	21.7199i	0.436587	+	0.756192i
$826$	0.911780	+	2.24818i	0.0317249	+	0.0782241i
$827$	6.18196	−	7.36738i	0.214968	−	0.256189i	−0.647775	−	0.761832i	$-0.724300\pi$
$827$	6.18196	−	7.36738i	0.214968	−	0.256189i	0.862743	+	0.505643i	$0.168745\pi$
$828$	−19.8665	+	41.0070i	−0.690409	+	1.42509i
$829$	−47.3501	−	27.3376i	−1.64454	−	0.949474i	−0.979191	−	0.202939i	$-0.934951\pi$
$829$	−47.3501	−	27.3376i	−1.64454	−	0.949474i	−0.665346	−	0.746535i	$-0.731716\pi$
$830$	−0.756973	+	5.43826i	−0.0262749	+	0.188765i
$831$	−7.68180	−	43.5657i	−0.266479	−	1.51128i
$832$	−36.5975	+	1.56851i	−1.26879	+	0.0543784i
$833$	−32.3516	−	11.7750i	−1.12092	−	0.407980i
$834$	−8.87741	−	41.4953i	−0.307400	−	1.43687i
$835$		−	20.7832i		−	0.719233i
$836$	27.8626	−	15.4303i	0.963647	−	0.533668i
$837$			4.15532i			0.143629i
$838$	13.7178	−	2.93474i	0.473872	−	0.101379i
$839$	−7.23988	−	2.63510i	−0.249948	−	0.0909738i	0.214008	−	0.976832i	$-0.431348\pi$
$839$	−7.23988	−	2.63510i	−0.249948	−	0.0909738i	−0.463956	+	0.885858i	$0.653570\pi$
$840$	0.167273	−	2.53652i	0.00577145	−	0.0875183i
$841$	−4.03422	−	22.8792i	−0.139111	−	0.788937i
$842$	0.850971	+	0.118450i	0.0293264	+	0.00408206i
$843$	12.8904	+	7.44230i	0.443970	+	0.256326i
$844$	−13.3230	−	6.45456i	−0.458597	−	0.222175i
$845$	−8.13331	+	9.69290i	−0.279794	+	0.333446i
$846$	4.81243	−	1.95175i	0.165455	−	0.0671025i
$847$	0.239661	+	0.415105i	0.00823484	+	0.0142632i
$848$	9.87274	−	7.79779i	0.339031	−	0.267777i
$849$	−19.9655	+	7.26685i	−0.685214	+	0.249398i
$850$	16.4914	+	5.33432i	0.565651	+	0.182966i
$851$	52.4926	+	9.25586i	1.79942	+	0.317287i
$852$	−58.1516	+	14.6621i	−1.99224	+	0.502315i
$853$	−9.04134	−	10.7751i	−0.309570	−	0.368931i	0.588718	−	0.808338i	$-0.299633\pi$
$853$	−9.04134	−	10.7751i	−0.309570	−	0.368931i	−0.898288	+	0.439408i	$0.855188\pi$
$854$	1.21606	+	0.644534i	0.0416129	+	0.0220555i
$855$	18.5046	+	26.5985i	0.632844	+	0.909651i
$856$	−1.48435	−	13.6038i	−0.0507340	−	0.464969i
$857$	−25.8903	+	21.7245i	−0.884395	+	0.742096i	−0.967078	−	0.254480i	$-0.918096\pi$
$857$	−25.8903	+	21.7245i	−0.884395	+	0.742096i	0.0826828	+	0.996576i	$0.473651\pi$
$858$	43.9344	+	48.6647i	1.49990	+	1.66138i
$859$	9.07216	+	1.59967i	0.309538	+	0.0545799i	0.326259	−	0.945280i	$-0.394212\pi$
$859$	9.07216	+	1.59967i	0.309538	+	0.0545799i	−0.0167212	+	0.999860i	$0.505323\pi$
$860$	−7.06566	+	6.85939i	−0.240937	+	0.233903i
$861$	0.156421	+	0.429762i	0.00533080	+	0.0146463i
$862$	−17.9746	−	28.6811i	−0.612219	−	0.976881i
$863$	−1.62887	−	2.82128i	−0.0554473	−	0.0960376i	0.836969	−	0.547250i	$-0.184325\pi$
$863$	−1.62887	−	2.82128i	−0.0554473	−	0.0960376i	−0.892417	+	0.451212i	$0.850992\pi$
$864$	−26.3368	+	0.173950i	−0.895998	+	0.00591792i
$865$	−19.1934	−	16.1052i	−0.652594	−	0.547592i
$866$	−55.8533	+	2.02431i	−1.89797	+	0.0687890i
$867$	−17.9520	−	10.3646i	−0.609683	−	0.352001i
$868$	−0.295413	−	0.213440i	−0.0100270	−	0.00724463i
$869$	−57.6103	+	10.1583i	−1.95430	+	0.344595i
$870$	−27.6517	+	35.4890i	−0.937479	+	1.20319i
$871$	44.1142	+	16.0563i	1.49475	+	0.544046i
$872$	−5.58744	−	5.35310i	−0.189214	−	0.181279i
$873$	−85.1012			−2.88024
$874$	27.6034	+	11.7727i	0.933700	+	0.398218i
$875$		−	2.42487i		−	0.0819755i
$876$	−5.68374	+	20.0210i	−0.192036	+	0.676448i
$877$	−16.8079	+	46.1794i	−0.567564	+	1.55937i	0.240731	+	0.970592i	$0.422613\pi$
$877$	−16.8079	+	46.1794i	−0.567564	+	1.55937i	−0.808295	+	0.588777i	$0.799609\pi$
$878$	32.1645	+	25.0613i	1.08550	+	0.845777i
$879$	−10.4184	−	59.0859i	−0.351405	−	1.99292i
$880$	0.687501	−	23.2017i	0.0231756	−	0.782129i
$881$	17.2456	−	29.8702i	0.581019	−	1.00635i	−0.414340	−	0.910122i	$-0.635988\pi$
$881$	17.2456	−	29.8702i	0.581019	−	1.00635i	0.995359	−	0.0962317i	$-0.0306790\pi$
$882$	46.0238	−	1.66806i	1.54970	−	0.0561664i
$883$	−13.6281	+	16.2413i	−0.458620	+	0.546563i	−0.944951	−	0.327212i	$-0.893891\pi$
$883$	−13.6281	+	16.2413i	−0.458620	+	0.546563i	0.486330	+	0.873775i	$0.338335\pi$
$884$	45.0743	+	4.61713i	1.51601	+	0.155291i
$885$	−32.0286	+	18.4917i	−1.07663	+	0.621593i
$886$	−47.4944	+	29.7651i	−1.59561	+	0.999978i
$887$	3.09192	−	1.12537i	0.103816	−	0.0377861i	−0.289590	−	0.957151i	$-0.593519\pi$
$887$	3.09192	−	1.12537i	0.103816	−	0.0377861i	0.393406	+	0.919365i	$0.371297\pi$
$888$	23.9832	+	82.4055i	0.804824	+	2.76535i
$889$	−0.221392	+	1.25558i	−0.00742524	+	0.0421106i
$890$	16.4885	+	18.2638i	0.552697	+	0.612204i
$891$	−2.67109	−	3.18328i	−0.0894848	−	0.106644i
$892$	−4.73690	−	6.98288i	−0.158603	−	0.233804i
$893$	−1.43601	−	3.10407i	−0.0480543	−	0.103874i
$894$	−3.08191	+	5.81476i	−0.103075	+	0.194475i
$895$	0.431992	−	0.362484i	0.0144399	−	0.0121165i
$896$	1.34044	−	1.88130i	0.0447809	−	0.0628497i
$897$	−10.7269	+	60.8350i	−0.358159	+	2.03122i
$898$	31.5886	+	10.2176i	1.05412	+	0.340967i
$899$	2.20611	+	6.06123i	0.0735778	+	0.202153i
$900$	−23.1251	+	1.67847i	−0.770835	+	0.0559489i
$901$	−13.4767	+	7.78079i	−0.448975	+	0.259216i
$902$	1.56951	+	3.86996i	0.0522591	+	0.128855i
$903$	1.34366	+	1.12747i	0.0447143	+	0.0375198i
$904$	5.56064	+	7.59013i	0.184944	+	0.252444i
$905$	12.9950	−	22.5081i	0.431969	−	0.748193i
$906$	−42.7548	−	5.95121i	−1.42043	−	0.197716i
$907$	−6.19475	+	1.09230i	−0.205693	+	0.0362693i	−0.275545	−	0.961288i	$-0.588858\pi$
$907$	−6.19475	+	1.09230i	−0.205693	+	0.0362693i	0.0698520	+	0.997557i	$0.477747\pi$
$908$	−13.7246	−	30.6081i	−0.455468	−	1.01577i
$909$	20.7426	−	56.9899i	0.687989	−	1.89023i
$910$	−0.439337	−	2.05358i	−0.0145639	−	0.0680754i
$911$	−54.7082			−1.81256			−0.906282	−	0.422673i	$-0.861092\pi$
$911$	−54.7082			−1.81256			−0.906282	+	0.422673i	$0.861092\pi$
$912$	2.63750	+	48.2470i	0.0873363	+	1.59762i
$913$	8.93026			0.295548
$914$	−6.63035	−	30.9920i	−0.219312	−	1.02512i
$915$	−7.17595	+	19.7158i	−0.237230	+	0.651783i
$916$	−8.47740	−	18.9060i	−0.280101	−	0.624671i
$917$	2.53761	−	0.447449i	0.0837992	−	0.0147761i
$918$	32.2665	+	4.49131i	1.06495	+	0.148235i
$919$	16.7617	−	29.0322i	0.552919	−	0.957683i	−0.445144	−	0.895459i	$-0.646847\pi$
$919$	16.7617	−	29.0322i	0.552919	−	0.957683i	0.998062	−	0.0622239i	$-0.0198193\pi$
$920$	17.6424	−	12.9251i	0.581652	−	0.426127i
$921$	4.71403	+	3.95554i	0.155333	+	0.130340i
$922$	6.96216	+	17.1666i	0.229287	+	0.565353i
$923$	−42.9066	+	24.7721i	−1.41229	+	0.815384i
$924$	−4.12360	+	0.299300i	−0.135657	+	0.00984624i
$925$	9.27647	+	25.4869i	0.305008	+	0.838003i
$926$	10.5487	+	3.41208i	0.346652	+	0.112128i
$927$	−10.7553	+	60.9962i	−0.353250	+	2.00338i
$928$	−38.3244	+	14.2363i	−1.25806	+	0.467329i
$929$	−16.9126	+	14.1913i	−0.554883	+	0.465602i	−0.876591	−	0.481237i	$-0.840188\pi$
$929$	−16.9126	+	14.1913i	−0.554883	+	0.465602i	0.321708	+	0.946839i	$0.395743\pi$
$930$	2.60184	−	4.90898i	0.0853176	−	0.160972i
$931$	−2.55188	−	30.2230i	−0.0836344	−	0.990520i
$932$	−20.3770	−	30.0387i	−0.667471	−	0.983950i
$933$	7.24022	+	8.62856i	0.237034	+	0.282486i
$934$	15.2279	+	16.8674i	0.498272	+	0.551919i
$935$	−4.98570	+	28.2753i	−0.163050	+	0.924702i
$936$	−58.1966	+	16.9375i	−1.90222	+	0.553619i
$937$	43.9899	−	16.0110i	1.43709	−	0.523057i	0.498133	−	0.867101i	$-0.334019\pi$
$937$	43.9899	−	16.0110i	1.43709	−	0.523057i	0.938953	+	0.344044i	$0.111797\pi$
$938$	−2.50850	+	1.57210i	−0.0819055	+	0.0513308i
$939$	3.86649	−	2.23232i	0.126178	−	0.0728490i
$940$	−2.47959	−	0.253994i	−0.0808753	−	0.00828437i
$941$	−15.8460	+	18.8845i	−0.516565	+	0.615618i	−0.959765	−	0.280805i	$-0.909399\pi$
$941$	−15.8460	+	18.8845i	−0.516565	+	0.615618i	0.443200	+	0.896423i	$0.353843\pi$
$942$	31.3753	−	1.13715i	1.02226	−	0.0370503i
$943$	−1.96737	+	3.40759i	−0.0640665	+	0.110966i
$944$	−33.5928	−	0.995405i	−1.09335	−	0.0323977i
$945$	−0.262194	−	1.48698i	−0.00852917	−	0.0483713i
$946$	12.6342	+	9.84404i	0.410772	+	0.320057i
$947$	9.04156	−	24.8415i	0.293811	−	0.807240i	−0.701689	−	0.712483i	$-0.747570\pi$
$947$	9.04156	−	24.8415i	0.293811	−	0.807240i	0.995500	−	0.0947568i	$-0.0302074\pi$
$948$	24.2368	−	85.3744i	0.787175	−	2.77283i
$949$			17.1936i			0.558127i
$950$	1.83501	+	15.1593i	0.0595356	+	0.491832i
$951$	13.0781			0.424088
$952$	−1.97669	+	2.06322i	−0.0640648	+	0.0668693i
$953$	7.01364	+	2.55276i	0.227194	+	0.0826919i	0.453109	−	0.891455i	$-0.350315\pi$
$953$	7.01364	+	2.55276i	0.227194	+	0.0826919i	−0.225915	+	0.974147i	$0.572537\pi$
$954$	12.7944	−	16.4207i	0.414233	−	0.531640i
$955$	−18.9417	+	3.33994i	−0.612940	+	0.108078i
$956$	−44.8283	−	32.3891i	−1.44985	−	1.04754i
$957$	63.3698	+	36.5866i	2.04845	+	1.18268i
$958$	−33.3352	+	1.20818i	−1.07701	+	0.0390345i
$959$	−0.689234	−	0.578336i	−0.0222565	−	0.0186755i
$960$	31.2225	+	16.2852i	1.00770	+	0.525603i
$961$	15.1017	+	26.1570i	0.487152	+	0.843773i
$962$	37.6519	+	60.0789i	1.21395	+	1.93702i
$963$	−7.74438	−	21.2775i	−0.249559	−	0.685658i
$964$	17.1053	−	16.6060i	0.550926	−	0.534843i
$965$	34.3010	+	6.04819i	1.10419	+	0.194698i
$966$	−2.61042	−	2.89147i	−0.0839888	−	0.0930316i
$967$	9.61455	−	8.06756i	0.309183	−	0.259435i	−0.474971	−	0.880001i	$-0.657542\pi$
$967$	9.61455	−	8.06756i	0.309183	−	0.259435i	0.784154	+	0.620566i	$0.213097\pi$
$968$	−6.60081	+	0.720231i	−0.212158	+	0.0231491i
$969$	5.38953	−	59.5238i	0.173137	−	1.91218i
$970$	36.0903	+	19.1285i	1.15879	+	0.614178i
$971$	22.9104	+	27.3036i	0.735231	+	0.876214i	0.996015	−	0.0891831i	$-0.0284256\pi$
$971$	22.9104	+	27.3036i	0.735231	+	0.876214i	−0.260784	+	0.965397i	$0.583981\pi$
$972$	33.2002	−	8.37097i	1.06490	−	0.268499i
$973$	2.17709	+	0.383881i	0.0697945	+	0.0123066i
$974$	−51.1950	−	16.5595i	−1.64039	−	0.530601i
$975$	−29.5374	+	10.7507i	−0.945954	+	0.344299i
$976$	−14.9619	+	11.8174i	−0.478919	+	0.378264i
$977$	−25.2389	−	43.7151i	−0.807465	−	1.39857i	−0.914614	−	0.404327i	$-0.867506\pi$
$977$	−25.2389	−	43.7151i	−0.807465	−	1.39857i	0.107150	−	0.994243i	$-0.465828\pi$
$978$	−48.4416	+	19.6461i	−1.54899	+	0.628214i
$979$	25.7241	−	30.6568i	0.822145	−	0.979794i
$980$	−19.8930	−	9.63751i	−0.635460	−	0.307859i
$981$	−11.0881	−	6.40172i	−0.354016	−	0.204391i
$982$	43.0739	+	5.99563i	1.37454	+	0.191328i
$983$	−5.79541	−	32.8674i	−0.184845	−	1.04831i	−0.926155	−	0.377144i	$-0.876906\pi$
$983$	−5.79541	−	32.8674i	−0.184845	−	1.04831i	0.741310	−	0.671163i	$-0.234205\pi$
$984$	−6.32179	−	0.416895i	−0.201531	−	0.0132901i
$985$	−26.6965	−	9.71672i	−0.850620	−	0.309600i
$986$	49.4506	−	10.5793i	1.57483	−	0.336915i
$987$			0.443970i			0.0141317i
$988$	12.9813	+	37.7481i	0.412989	+	1.20093i
$989$			15.0908i			0.479859i
$990$	−8.03495	−	37.5575i	−0.255368	−	1.19365i
$991$	−34.2913	−	12.4810i	−1.08930	−	0.396473i	−0.265938	−	0.963990i	$-0.585682\pi$
$991$	−34.2913	−	12.4810i	−1.08930	−	0.396473i	−0.823361	+	0.567517i	$0.807904\pi$
$992$	4.35555	−	2.55318i	0.138289	−	0.0810636i
$993$	−0.910805	−	5.16543i	−0.0289035	−	0.163920i
$994$	0.430732	−	3.09447i	0.0136620	−	0.0981507i
$995$	−22.0081	−	12.7064i	−0.697705	−	0.402820i
$996$	−5.90684	+	12.1925i	−0.187166	+	0.386333i
$997$	−26.4791	+	31.5566i	−0.838603	+	0.999408i	0.161319	+	0.986902i	$0.448425\pi$
$997$	−26.4791	+	31.5566i	−0.838603	+	0.999408i	−0.999922	+	0.0125055i	$0.996019\pi$
$998$	−5.16930	−	12.7460i	−0.163631	−	0.403466i
$999$	25.4891	+	44.1483i	0.806438	+	1.39679i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.11	yes	108
4.3	odd	2		608.2.bf.a.177.2		108
8.3	odd	2		608.2.bf.a.177.17		108
8.5	even	2	inner	152.2.t.a.101.2	✓	108
19.16	even	9	inner	152.2.t.a.149.2	yes	108
76.35	odd	18		608.2.bf.a.529.17		108
152.35	odd	18		608.2.bf.a.529.2		108
152.149	even	18	inner	152.2.t.a.149.11	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.2	✓	108	8.5	even	2	inner
152.2.t.a.101.11	yes	108	1.1	even	1	trivial
152.2.t.a.149.2	yes	108	19.16	even	9	inner
152.2.t.a.149.11	yes	108	152.149	even	18	inner
608.2.bf.a.177.2		108	4.3	odd	2
608.2.bf.a.177.17		108	8.3	odd	2
608.2.bf.a.529.2		108	152.35	odd	18
608.2.bf.a.529.17		108	76.35	odd	18

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:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	152.t (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.295859 + 1.38292i) q^{2} +(0.947836 - 2.60416i) q^{3} +(-1.82494 + 0.818297i) q^{4} +(1.56423 - 0.275816i) q^{5} +(3.88177 + 0.540319i) q^{6} +(-0.102088 + 0.176822i) q^{7} +(-1.67156 - 2.28164i) q^{8} +(-3.58511 - 3.00826i) q^{9} +O(q^{10})\)	\(q+(0.295859 + 1.38292i) q^{2} +(0.947836 - 2.60416i) q^{3} +(-1.82494 + 0.818297i) q^{4} +(1.56423 - 0.275816i) q^{5} +(3.88177 + 0.540319i) q^{6} +(-0.102088 + 0.176822i) q^{7} +(-1.67156 - 2.28164i) q^{8} +(-3.58511 - 3.00826i) q^{9} +(0.844222 + 2.08160i) q^{10} +(3.16397 - 1.82672i) q^{11} +(0.401236 + 5.52803i) q^{12} +(1.56607 + 4.30274i) q^{13} +(-0.274734 - 0.0888654i) q^{14} +(0.764365 - 4.33493i) q^{15} +(2.66078 - 2.98668i) q^{16} +(-3.79018 + 3.18034i) q^{17} +(3.09950 - 5.84794i) q^{18} +(-3.94490 - 1.85412i) q^{19} +(-2.62892 + 1.78335i) q^{20} +(0.363709 + 0.433451i) q^{21} +(3.46229 + 3.83506i) q^{22} +(-0.845340 + 4.79416i) q^{23} +(-7.52612 + 2.19039i) q^{24} +(-2.32772 + 0.847222i) q^{25} +(-5.48702 + 3.43875i) q^{26} +(-4.03208 + 2.32792i) q^{27} +(0.0416114 - 0.406227i) q^{28} +(-4.64554 + 5.53634i) q^{29} +(6.22100 - 0.225470i) q^{30} +(0.446248 - 0.772924i) q^{31} +(4.91755 + 2.79601i) q^{32} +(-1.75814 - 9.97090i) q^{33} +(-5.51951 - 4.30058i) q^{34} +(-0.110919 + 0.304747i) q^{35} +(9.00425 + 2.55620i) q^{36} -10.9493i q^{37} +(1.39696 - 6.00404i) q^{38} +12.6894 q^{39} +(-3.24402 - 3.10797i) q^{40} +(0.759524 + 0.276444i) q^{41} +(-0.491822 + 0.631221i) q^{42} +(3.05282 - 0.538295i) q^{43} +(-4.27924 + 5.92271i) q^{44} +(-6.43766 - 3.71679i) q^{45} +(-6.88004 + 0.249356i) q^{46} +(0.601065 + 0.504353i) q^{47} +(-5.25580 - 9.75997i) q^{48} +(3.47916 + 6.02608i) q^{49} +(-1.86032 - 2.96840i) q^{50} +(4.68963 + 12.8847i) q^{51} +(-6.37890 - 6.57072i) q^{52} +(3.09742 + 0.546158i) q^{53} +(-4.41225 - 4.88730i) q^{54} +(4.44534 - 3.73008i) q^{55} +(0.574090 - 0.0626404i) q^{56} +(-8.56753 + 8.51575i) q^{57} +(-9.03074 - 4.78644i) q^{58} +(-5.40063 - 6.43622i) q^{59} +(2.15234 + 8.53644i) q^{60} +(-4.69406 - 0.827689i) q^{61} +(1.20092 + 0.388449i) q^{62} +(0.897924 - 0.326817i) q^{63} +(-2.41176 + 7.62781i) q^{64} +(3.63646 + 6.29854i) q^{65} +(13.2688 - 5.38134i) q^{66} +(6.59023 - 7.85393i) q^{67} +(4.31437 - 8.90540i) q^{68} +(11.6835 + 6.74548i) q^{69} +(-0.454258 - 0.0632300i) q^{70} +(1.87890 + 10.6558i) q^{71} +(-0.871039 + 13.2084i) q^{72} +(3.52851 + 1.28427i) q^{73} +(15.1420 - 3.23944i) q^{74} +6.86478i q^{75} +(8.71641 + 0.155542i) q^{76} +0.745944i q^{77} +(3.75427 + 17.5484i) q^{78} +(-15.0464 - 5.47645i) q^{79} +(3.33830 - 5.40574i) q^{80} +(-0.197510 - 1.12014i) q^{81} +(-0.157589 + 1.13215i) q^{82} +(2.11687 + 1.22217i) q^{83} +(-1.01844 - 0.493399i) q^{84} +(-5.05152 + 6.02017i) q^{85} +(1.64762 + 4.06255i) q^{86} +(10.0143 + 17.3453i) q^{87} +(-9.45668 - 4.16556i) q^{88} +(10.2933 - 3.74647i) q^{89} +(3.23538 - 10.0024i) q^{90} +(-0.920696 - 0.162344i) q^{91} +(-2.38036 - 9.44077i) q^{92} +(-1.58985 - 1.89470i) q^{93} +(-0.519650 + 0.980442i) q^{94} +(-6.68213 - 1.81220i) q^{95} +(11.9423 - 10.1559i) q^{96} +(13.9297 - 11.6884i) q^{97} +(-7.30424 + 6.59426i) q^{98} +(-16.8384 - 2.96907i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

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