LMFDB - Embedded newform 930.2.bo.b.179.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.17
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-0.0869307 - 1.72987i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.72133 - 1.42725i) q^{5} +(-1.61834 + 0.617235i) q^{6} +(-1.84852 + 4.15185i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.98489 + 0.300757i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.0869307 - 1.72987i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.72133 - 1.42725i) q^{5} +(-1.61834 + 0.617235i) q^{6} +(-1.84852 + 4.15185i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.98489 + 0.300757i) q^{9} +(-0.825472 + 2.07812i) q^{10} +(0.00758473 + 0.0721639i) q^{11} +(1.08712 + 1.34840i) q^{12} +(-0.108953 - 0.121004i) q^{13} +(4.51987 + 0.475057i) q^{14} +(-2.31931 + 3.10174i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.262806 - 0.0276220i) q^{17} +(1.20842 + 2.74586i) q^{18} +(4.45738 - 4.95042i) q^{19} +(2.23150 + 0.142896i) q^{20} +(7.34284 + 2.83678i) q^{21} +(0.0662881 - 0.0295134i) q^{22} +(-1.46149 + 2.01157i) q^{23} +(0.946462 - 1.45059i) q^{24} +(0.925936 + 4.91352i) q^{25} +(-0.0814136 + 0.141013i) q^{26} +(0.779749 + 5.13731i) q^{27} +(-0.944909 - 4.44545i) q^{28} +(2.35513 + 7.24834i) q^{29} +(3.66664 + 1.24731i) q^{30} +(5.21801 - 1.94227i) q^{31} -1.00000 q^{32} +(0.124175 - 0.0193938i) q^{33} +(0.0549414 + 0.258479i) q^{34} +(9.10762 - 4.50839i) q^{35} +(2.23804 - 1.99779i) q^{36} +(4.89369 + 8.47613i) q^{37} +(-6.08553 - 2.70945i) q^{38} +(-0.199850 + 0.198993i) q^{39} +(-0.553669 - 2.16644i) q^{40} +(1.24649 - 5.86426i) q^{41} +(0.428871 - 7.86007i) q^{42} +(-0.0456183 + 0.0506643i) q^{43} +(-0.0485530 - 0.0539236i) q^{44} +(5.56722 + 3.74247i) q^{45} +(2.36475 + 0.768352i) q^{46} +(-1.96996 + 6.06292i) q^{47} +(-1.67207 - 0.451883i) q^{48} +(-9.13689 - 10.1475i) q^{49} +(4.38690 - 2.39898i) q^{50} +(-0.0249365 + 0.457021i) q^{51} +(0.159269 + 0.0338537i) q^{52} +(-1.51299 - 3.39824i) q^{53} +(4.64492 - 2.32910i) q^{54} +(0.0899398 - 0.135043i) q^{55} +(-3.93588 + 2.27238i) q^{56} +(-8.95106 - 7.28033i) q^{57} +(6.16581 - 4.47972i) q^{58} +(-1.22287 - 5.75315i) q^{59} +(0.0532048 - 3.87262i) q^{60} +12.4819i q^{61} +(-3.45966 - 4.36242i) q^{62} +(4.26893 - 12.9488i) q^{63} +(0.309017 + 0.951057i) q^{64} +(0.0148404 + 0.363790i) q^{65} +(-0.0568167 - 0.112104i) q^{66} +(0.206705 + 0.119341i) q^{67} +(0.228850 - 0.132127i) q^{68} +(3.60680 + 2.35332i) q^{69} +(-7.10215 - 7.26869i) q^{70} +(3.26437 + 7.33191i) q^{71} +(-2.59160 - 1.51115i) q^{72} +(1.07376 + 10.2161i) q^{73} +(6.54904 - 7.27345i) q^{74} +(8.41924 - 2.02888i) q^{75} +(-0.696311 + 6.62495i) q^{76} +(-0.313634 - 0.101906i) q^{77} +(0.251010 + 0.128577i) q^{78} +(-12.2317 - 1.28560i) q^{79} +(-1.88931 + 1.19604i) q^{80} +(8.81909 - 1.79545i) q^{81} +(-5.96243 + 0.626677i) q^{82} +(0.405929 - 1.90975i) q^{83} +(-7.60790 + 2.02101i) q^{84} +(0.412952 + 0.422635i) q^{85} +(0.0622814 + 0.0277295i) q^{86} +(12.3339 - 4.70416i) q^{87} +(-0.0362807 + 0.0628400i) q^{88} +(0.818323 - 0.594546i) q^{89} +(1.83893 - 6.45123i) q^{90} +(0.703793 - 0.228676i) q^{91} -2.48644i q^{92} +(-3.81348 - 8.85762i) q^{93} +6.37493 q^{94} +(-14.7381 + 2.15952i) q^{95} +(0.0869307 + 1.72987i) q^{96} +(-1.47470 - 2.02976i) q^{97} +(-6.82744 + 11.8255i) q^{98} +(-0.0443434 - 0.213120i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−0.0869307	−	1.72987i	−0.0501895	−	0.998740i
$3$	−0.0869307	−	1.72987i	−0.0501895	−	0.998740i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−1.72133	−	1.42725i	−0.769801	−	0.638284i
$5$	−1.72133	−	1.42725i	−0.769801	−	0.638284i
$6$	−1.61834	+	0.617235i	−0.660684	+	0.251985i
$7$	−1.84852	+	4.15185i	−0.698676	+	1.56925i	0.118560	+	0.992947i	$0.462172\pi$
$7$	−1.84852	+	4.15185i	−0.698676	+	1.56925i	−0.817235	+	0.576304i	$0.804494\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−2.98489	+	0.300757i	−0.994962	+	0.100252i
$10$	−0.825472	+	2.07812i	−0.261037	+	0.657160i
$11$	0.00758473	+	0.0721639i	0.00228688	+	0.0217582i	0.995606	−	0.0936431i	$-0.0298513\pi$
$11$	0.00758473	+	0.0721639i	0.00228688	+	0.0217582i	−0.993319	+	0.115401i	$0.963185\pi$
$12$	1.08712	+	1.34840i	0.313824	+	0.389248i
$13$	−0.108953	−	0.121004i	−0.0302180	−	0.0335605i	0.727846	−	0.685740i	$-0.240521\pi$
$13$	−0.108953	−	0.121004i	−0.0302180	−	0.0335605i	−0.758064	+	0.652180i	$0.773855\pi$
$14$	4.51987	+	0.475057i	1.20799	+	0.126964i
$15$	−2.31931	+	3.10174i	−0.598844	+	0.800866i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−0.262806	−	0.0276220i	−0.0637398	−	0.00669932i	0.0726049	−	0.997361i	$-0.476869\pi$
$17$	−0.262806	−	0.0276220i	−0.0637398	−	0.00669932i	−0.136345	+	0.990661i	$0.543535\pi$
$18$	1.20842	+	2.74586i	0.284827	+	0.647205i
$19$	4.45738	−	4.95042i	1.02259	−	1.13570i	0.0319131	−	0.999491i	$-0.489840\pi$
$19$	4.45738	−	4.95042i	1.02259	−	1.13570i	0.990680	−	0.136214i	$-0.0434933\pi$
$20$	2.23150	+	0.142896i	0.498978	+	0.0319524i
$21$	7.34284	+	2.83678i	1.60234	+	0.619035i
$22$	0.0662881	−	0.0295134i	0.0141327	−	0.00629227i
$23$	−1.46149	+	2.01157i	−0.304742	+	0.419442i	−0.933733	−	0.357971i	$-0.883469\pi$
$23$	−1.46149	+	2.01157i	−0.304742	+	0.419442i	0.628990	+	0.777413i	$0.283469\pi$
$24$	0.946462	−	1.45059i	0.193196	−	0.296100i
$25$	0.925936	+	4.91352i	0.185187	+	0.982703i
$26$	−0.0814136	+	0.141013i	−0.0159665	+	0.0276548i
$27$	0.779749	+	5.13731i	0.150063	+	0.988676i
$28$	−0.944909	−	4.44545i	−0.178571	−	0.840111i
$29$	2.35513	+	7.24834i	0.437336	+	1.34598i	0.890673	+	0.454644i	$0.150233\pi$
$29$	2.35513	+	7.24834i	0.437336	+	1.34598i	−0.453337	+	0.891339i	$0.649767\pi$
$30$	3.66664	+	1.24731i	0.669433	+	0.227726i
$31$	5.21801	−	1.94227i	0.937182	−	0.348842i
$31$	5.21801	−	1.94227i	0.937182	−	0.348842i
$32$	−1.00000			−0.176777
$33$	0.124175	−	0.0193938i	0.0216160	−	0.00337603i
$34$	0.0549414	+	0.258479i	0.00942237	+	0.0443288i
$35$	9.10762	−	4.50839i	1.53947	−	0.762058i
$36$	2.23804	−	1.99779i	0.373007	−	0.332965i
$37$	4.89369	+	8.47613i	0.804518	+	1.39347i	0.916616	+	0.399769i	$0.130910\pi$
$37$	4.89369	+	8.47613i	0.804518	+	1.39347i	−0.112098	+	0.993697i	$0.535757\pi$
$38$	−6.08553	−	2.70945i	−0.987204	−	0.439532i
$39$	−0.199850	+	0.198993i	−0.0320016	+	0.0318644i
$40$	−0.553669	−	2.16644i	−0.0875427	−	0.342544i
$41$	1.24649	−	5.86426i	0.194669	−	0.915844i	−0.767004	−	0.641643i	$-0.778253\pi$
$41$	1.24649	−	5.86426i	0.194669	−	0.915844i	0.961672	−	0.274201i	$-0.0884135\pi$
$42$	0.428871	−	7.86007i	0.0661762	−	1.21284i
$43$	−0.0456183	+	0.0506643i	−0.00695673	+	0.00772623i	−0.746613	−	0.665258i	$-0.768321\pi$
$43$	−0.0456183	+	0.0506643i	−0.00695673	+	0.00772623i	0.739656	+	0.672985i	$0.234988\pi$
$44$	−0.0485530	−	0.0539236i	−0.00731965	−	0.00812929i
$45$	5.56722	+	3.74247i	0.829912	+	0.557894i
$46$	2.36475	+	0.768352i	0.348663	+	0.113287i
$47$	−1.96996	+	6.06292i	−0.287348	+	0.884367i	0.698337	+	0.715769i	$0.253924\pi$
$47$	−1.96996	+	6.06292i	−0.287348	+	0.884367i	−0.985685	+	0.168598i	$0.946076\pi$
$48$	−1.67207	−	0.451883i	−0.241342	−	0.0652236i
$49$	−9.13689	−	10.1475i	−1.30527	−	1.44965i
$50$	4.38690	−	2.39898i	0.620402	−	0.339267i
$51$	−0.0249365	+	0.457021i	−0.00349181	+	0.0639957i
$52$	0.159269	+	0.0338537i	0.0220867	+	0.00469466i
$53$	−1.51299	−	3.39824i	−0.207826	−	0.466784i	0.779316	−	0.626631i	$-0.215567\pi$
$53$	−1.51299	−	3.39824i	−0.207826	−	0.466784i	−0.987142	+	0.159847i	$0.948900\pi$
$54$	4.64492	−	2.32910i	0.632094	−	0.316951i
$55$	0.0899398	−	0.135043i	0.0121275	−	0.0182092i
$56$	−3.93588	+	2.27238i	−0.525954	+	0.303660i
$57$	−8.95106	−	7.28033i	−1.18560	−	0.964303i
$58$	6.16581	−	4.47972i	0.809610	−	0.588216i
$59$	−1.22287	−	5.75315i	−0.159204	−	0.748996i	−0.983219	−	0.182428i	$-0.941604\pi$
$59$	−1.22287	−	5.75315i	−0.159204	−	0.748996i	0.824015	−	0.566568i	$-0.191729\pi$
$60$	0.0532048	−	3.87262i	0.00686872	−	0.499953i
$61$			12.4819i			1.59815i	0.601233	+	0.799073i	$0.294676\pi$
$61$			12.4819i			1.59815i	−0.601233	+	0.799073i	$0.705324\pi$
$62$	−3.45966	−	4.36242i	−0.439377	−	0.554028i
$63$	4.26893	−	12.9488i	0.537834	−	1.63139i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	0.0148404	+	0.363790i	0.00184073	+	0.0451226i
$66$	−0.0568167	−	0.112104i	−0.00699365	−	0.0137991i
$67$	0.206705	+	0.119341i	0.0252531	+	0.0145799i	0.512573	−	0.858643i	$-0.328692\pi$
$67$	0.206705	+	0.119341i	0.0252531	+	0.0145799i	−0.487320	+	0.873223i	$0.662026\pi$
$68$	0.228850	−	0.132127i	0.0277522	−	0.0160227i
$69$	3.60680	+	2.35332i	0.434208	+	0.283307i
$70$	−7.10215	−	7.26869i	−0.848869	−	0.868775i
$71$	3.26437	+	7.33191i	0.387410	+	0.870137i	0.996999	+	0.0774192i	$0.0246680\pi$
$71$	3.26437	+	7.33191i	0.387410	+	0.870137i	−0.609589	+	0.792718i	$0.708665\pi$
$72$	−2.59160	−	1.51115i	−0.305424	−	0.178091i
$73$	1.07376	+	10.2161i	0.125674	+	1.19571i	0.857598	+	0.514321i	$0.171956\pi$
$73$	1.07376	+	10.2161i	0.125674	+	1.19571i	−0.731924	+	0.681386i	$0.761377\pi$
$74$	6.54904	−	7.27345i	0.761310	−	0.845521i
$75$	8.41924	−	2.02888i	0.972170	−	0.234275i
$76$	−0.696311	+	6.62495i	−0.0798723	+	0.759934i
$77$	−0.313634	−	0.101906i	−0.0357419	−	0.0116133i
$78$	0.251010	+	0.128577i	0.0284213	+	0.0145584i
$79$	−12.2317	−	1.28560i	−1.37617	−	0.144642i	−0.612615	−	0.790381i	$-0.709883\pi$
$79$	−12.2317	−	1.28560i	−1.37617	−	0.144642i	−0.763558	+	0.645740i	$0.776549\pi$
$80$	−1.88931	+	1.19604i	−0.211231	+	0.133721i
$81$	8.81909	−	1.79545i	0.979899	−	0.199495i
$82$	−5.96243	+	0.626677i	−0.658441	+	0.0692049i
$83$	0.405929	−	1.90975i	0.0445565	−	0.209622i	−0.950238	−	0.311526i	$-0.899160\pi$
$83$	0.405929	−	1.90975i	0.0445565	−	0.209622i	0.994794	+	0.101904i	$0.0324933\pi$
$84$	−7.60790	+	2.02101i	−0.830090	+	0.220511i
$85$	0.412952	+	0.422635i	0.0447909	+	0.0458412i
$86$	0.0622814	+	0.0277295i	0.00671598	+	0.00299015i
$87$	12.3339	−	4.70416i	1.32234	−	0.504339i
$88$	−0.0362807	+	0.0628400i	−0.00386753	+	0.00669877i
$89$	0.818323	−	0.594546i	0.0867420	−	0.0630218i	−0.543569	−	0.839364i	$-0.682927\pi$
$89$	0.818323	−	0.594546i	0.0867420	−	0.0630218i	0.630311	+	0.776343i	$0.282927\pi$
$90$	1.83893	−	6.45123i	0.193840	−	0.680019i
$91$	0.703793	−	0.228676i	0.0737775	−	0.0239718i
$92$		−	2.48644i		−	0.259229i
$93$	−3.81348	−	8.85762i	−0.395439	−	0.918492i
$94$	6.37493			0.657523
$95$	−14.7381	+	2.15952i	−1.51209	+	0.221562i
$96$	0.0869307	+	1.72987i	0.00887233	+	0.176554i
$97$	−1.47470	−	2.02976i	−0.149734	−	0.206091i	0.727561	−	0.686043i	$-0.240654\pi$
$97$	−1.47470	−	2.02976i	−0.149734	−	0.206091i	−0.877294	+	0.479953i	$0.840654\pi$
$98$	−6.82744	+	11.8255i	−0.689675	+	1.19455i
$99$	−0.0443434	−	0.213120i	−0.00445668	−	0.0214193i
$100$	−3.63719	−	3.43087i	−0.363719	−	0.343087i
$101$	5.61268	−	7.72520i	0.558483	−	0.768686i	−0.432650	−	0.901562i	$-0.642421\pi$
$101$	5.61268	−	7.72520i	0.558483	−	0.768686i	0.991133	+	0.132876i	$0.0424213\pi$
$102$	0.442358	−	0.117511i	0.0438000	−	0.0116353i
$103$	−0.170495	+	0.802118i	−0.0167994	+	0.0790350i	−0.985749	−	0.168224i	$-0.946197\pi$
$103$	−0.170495	+	0.802118i	−0.0167994	+	0.0790350i	0.968949	+	0.247259i	$0.0795300\pi$
$104$	−0.0170201	−	0.161935i	−0.00166896	−	0.0158791i
$105$	−8.59066	−	15.3631i	−0.838362	−	1.49928i
$106$	−2.76438	+	2.48906i	−0.268500	+	0.241759i
$107$	−1.51173	+	14.3831i	−0.146144	+	1.39047i	0.638070	+	0.769979i	$0.279733\pi$
$107$	−1.51173	+	14.3831i	−0.146144	+	1.39047i	−0.784214	+	0.620491i	$0.786933\pi$
$108$	−3.65047	−	3.69785i	−0.351266	−	0.355826i
$109$	−1.93218	+	5.94664i	−0.185069	+	0.569585i	−0.999950	−	0.0100446i	$-0.996803\pi$
$109$	−1.93218	+	5.94664i	−0.185069	+	0.569585i	0.814880	+	0.579629i	$0.196803\pi$
$110$	−0.156226	−	0.0438073i	−0.0148956	−	0.00417686i
$111$	14.2372	−	9.20228i	1.35133	−	0.873442i
$112$	3.37742	+	3.04104i	0.319136	+	0.287351i
$113$	1.83506	+	17.4594i	0.172628	+	1.64244i	0.647267	+	0.762263i	$0.275912\pi$
$113$	1.83506	+	17.4594i	0.172628	+	1.64244i	−0.474639	+	0.880181i	$0.657421\pi$
$114$	−4.15798	+	10.7627i	−0.389430	+	1.00802i
$115$	5.38672	−	1.37666i	0.502314	−	0.128375i
$116$	−6.16581	−	4.47972i	−0.572481	−	0.415932i
$117$	0.361604	+	0.328416i	0.0334303	+	0.0303620i
$118$	−5.09368	+	2.94084i	−0.468912	+	0.270726i
$119$	0.600485	−	1.04007i	0.0550464	−	0.0953431i
$120$	−3.69952	+	1.14610i	−0.337718	+	0.104624i
$121$	10.7545	−	2.28593i	0.977679	−	0.207812i
$122$	11.8710	−	3.85713i	1.07475	−	0.349208i
$123$	−10.2528	−	1.64647i	−0.924460	−	0.148458i
$124$	−3.07982	+	4.63840i	−0.276576	+	0.416540i
$125$	5.41896	−	9.77931i	0.484686	−	0.874688i
$126$	−13.6342	−	0.0586080i	−1.21463	−	0.00522122i
$127$	−5.45341	+	1.15916i	−0.483912	+	0.102859i	−0.443407	−	0.896321i	$-0.646230\pi$
$127$	−5.45341	+	1.15916i	−0.483912	+	0.102859i	−0.0405057	+	0.999179i	$0.512897\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	0.0916081	+	0.0745094i	0.00806564	+	0.00656018i
$130$	0.341399	−	0.126531i	0.0299427	−	0.0110975i
$131$	−7.14042	+	16.0376i	−0.623861	+	1.40122i	0.274341	+	0.961632i	$0.411540\pi$
$131$	−7.14042	+	16.0376i	−0.623861	+	1.40122i	−0.898202	+	0.439583i	$0.855126\pi$
$132$	−0.0890600	+	0.0886780i	−0.00775168	+	0.00771843i
$133$	12.3138	+	27.6573i	1.06774	+	2.39819i
$134$	0.0496249	−	0.233467i	0.00428694	−	0.0201685i
$135$	5.99001	−	9.95589i	0.515538	−	0.856867i
$136$	−0.196379	−	0.176820i	−0.0168393	−	0.0151622i
$137$	7.33817	−	6.60732i	0.626942	−	0.564501i	−0.293217	−	0.956046i	$-0.594726\pi$
$137$	7.33817	−	6.60732i	0.626942	−	0.564501i	0.920159	+	0.391545i	$0.128059\pi$
$138$	1.12358	−	4.15749i	0.0956454	−	0.353909i
$139$	−0.0334136	−	0.0108567i	−0.00283410	−	0.000920856i	0.307600	−	0.951516i	$-0.400474\pi$
$139$	−0.0334136	−	0.0108567i	−0.00283410	−	0.000920856i	−0.310434	+	0.950595i	$0.600474\pi$
$140$	−4.71825	+	9.00069i	−0.398765	+	0.760697i
$141$	10.6593	+	2.88072i	0.897674	+	0.242600i
$142$	5.96431	−	5.37029i	0.500514	−	0.450665i
$143$	0.00790576	−	0.00878024i	0.000661113	−	0.000734240i
$144$	−0.636343	+	2.93173i	−0.0530286	+	0.244311i
$145$	6.29122	−	15.8381i	0.522457	−	1.31528i
$146$	9.38430	−	4.17816i	0.776651	−	0.345787i
$147$	−16.7596	+	16.6878i	−1.38231	+	1.37638i
$148$	−8.94122	−	3.98089i	−0.734964	−	0.327227i
$149$	−8.28563	+	4.78371i	−0.678786	+	0.391897i	−0.799397	−	0.600803i	$-0.794848\pi$
$149$	−8.28563	+	4.78371i	−0.678786	+	0.391897i	0.120612	+	0.992700i	$0.461514\pi$
$150$	−4.53127	−	7.38022i	−0.369977	−	0.602592i
$151$	8.16904	+	11.2437i	0.664787	+	0.915001i	0.999628	−	0.0272739i	$-0.00868264\pi$
$151$	8.16904	+	11.2437i	0.664787	+	0.915001i	−0.334841	+	0.942275i	$0.608683\pi$
$152$	6.51588	−	1.38499i	0.528508	−	0.112338i
$153$	0.792754	+	0.00340774i	0.0640903	+	0.000275500i
$154$			0.329774i			0.0265740i
$155$	−11.7540	−	4.10410i	−0.944104	−	0.329649i
$156$	0.0447170	−	0.278457i	0.00358023	−	0.0222944i
$157$	9.23840	−	3.00174i	0.737304	−	0.239565i	0.0837949	−	0.996483i	$-0.473296\pi$
$157$	9.23840	−	3.00174i	0.737304	−	0.239565i	0.653509	+	0.756918i	$0.273296\pi$
$158$	2.55712	+	12.0303i	0.203434	+	0.957080i
$159$	−5.74698	+	2.91269i	−0.455765	+	0.230992i
$160$	1.72133	+	1.42725i	0.136083	+	0.112834i
$161$	−5.65014	−	9.78633i	−0.445294	−	0.771271i
$162$	−4.43283	−	7.83263i	−0.348276	−	0.615389i
$163$	−13.1873	+	18.1508i	−1.03291	+	1.42168i	−0.130171	+	0.991492i	$0.541553\pi$
$163$	−13.1873	+	18.1508i	−1.03291	+	1.42168i	−0.902739	+	0.430188i	$0.858447\pi$
$164$	2.43850	+	5.47696i	0.190415	+	0.427678i
$165$	−0.241425	−	0.143845i	−0.0187949	−	0.0111983i
$166$	−1.94172	+	0.204083i	−0.150706	+	0.0158399i
$167$	−12.0091	−	10.8131i	−0.929295	−	0.836741i	0.0575611	−	0.998342i	$-0.481668\pi$
$167$	−12.0091	−	10.8131i	−0.929295	−	0.836741i	−0.986856	+	0.161601i	$0.948334\pi$
$168$	4.27307	+	6.61101i	0.329674	+	0.510051i
$169$	1.35610	−	12.9024i	0.104315	−	0.992494i
$170$	0.274341	−	0.523342i	0.0210410	−	0.0401385i
$171$	−11.8159	+	16.1170i	−0.903584	+	1.23250i
$172$	0.00712628	−	0.0678020i	0.000543374	−	0.00516986i
$173$	0.574261	+	0.637781i	0.0436602	+	0.0484896i	0.764579	−	0.644530i	$-0.222947\pi$
$173$	0.574261	+	0.637781i	0.0436602	+	0.0484896i	−0.720919	+	0.693019i	$0.756280\pi$
$174$	−8.28532	−	10.2766i	−0.628109	−	0.779067i
$175$	−22.1118	−	5.23840i	−1.67149	−	0.395986i
$176$	0.0709757	+	0.0150864i	0.00535000	+	0.00113718i
$177$	−9.84589	+	2.61553i	−0.740062	+	0.196595i
$178$	−0.818323	−	0.594546i	−0.0613359	−	0.0445631i
$179$	11.1759	+	4.97582i	0.835324	+	0.371910i	0.779401	−	0.626525i	$-0.215523\pi$
$179$	11.1759	+	4.97582i	0.835324	+	0.371910i	0.0559227	+	0.998435i	$0.482190\pi$
$180$	−6.70374	+	0.244612i	−0.499667	+	0.0182323i
$181$	17.0595	+	9.84928i	1.26802	+	0.732091i	0.974613	−	0.223896i	$-0.0718777\pi$
$181$	17.0595	+	9.84928i	1.26802	+	0.732091i	0.293407	+	0.955988i	$0.405211\pi$
$182$	−0.434968	−	0.598682i	−0.0322420	−	0.0443773i
$183$	21.5921	−	1.08506i	1.59613	−	0.0802102i
$184$	−2.36475	+	0.768352i	−0.174331	+	0.0566437i
$185$	3.67387	−	21.5747i	0.270108	−	1.58620i
$186$	−7.24567	+	6.36399i	−0.531278	+	0.466630i
$187$		−	0.0191746i		−	0.00140219i
$188$	−1.96996	−	6.06292i	−0.143674	−	0.442184i
$189$	−22.7707	−	6.25904i	−1.65633	−	0.455278i
$190$	6.60814	+	13.3494i	0.479405	+	0.968468i
$191$	−20.5554	−	11.8677i	−1.48734	−	0.858716i	−0.487444	−	0.873154i	$-0.662071\pi$
$191$	−20.5554	−	11.8677i	−1.48734	−	0.858716i	−0.999896	+	0.0144384i	$0.995404\pi$
$192$	1.61834	−	0.617235i	0.116794	−	0.0445451i
$193$	−1.05561	+	2.37093i	−0.0759842	+	0.170663i	−0.947544	−	0.319627i	$-0.896442\pi$
$193$	−1.05561	+	2.37093i	−0.0759842	+	0.170663i	0.871559	+	0.490290i	$0.163109\pi$
$194$	−1.47470	+	2.02976i	−0.105878	+	0.145728i
$195$	0.628019	−	0.0572966i	0.0449734	−	0.00410309i
$196$	13.3565	+	2.83901i	0.954035	+	0.202786i
$197$	17.7513	−	1.86574i	1.26473	−	0.132929i	0.551689	−	0.834050i	$-0.313984\pi$
$197$	17.7513	−	1.86574i	1.26473	−	0.132929i	0.713042	+	0.701122i	$0.247317\pi$
$198$	−0.188986	+	0.108031i	−0.0134307	+	0.00767741i
$199$	15.0678	−	13.5672i	1.06813	−	0.961750i	0.0687754	−	0.997632i	$-0.478091\pi$
$199$	15.0678	−	13.5672i	1.06813	−	0.961750i	0.999356	+	0.0358823i	$0.0114242\pi$
$200$	−2.13899	+	4.51937i	−0.151250	+	0.319568i
$201$	0.188476	−	0.367947i	0.0132941	−	0.0259530i
$202$	−9.08151	−	2.95076i	−0.638973	−	0.207615i
$203$	−34.4475	−	3.62058i	−2.41774	−	0.254115i
$204$	−0.248456	−	0.384395i	−0.0173954	−	0.0269130i
$205$	−10.5154	+	8.31527i	−0.734425	+	0.580764i
$206$	0.815545	−	0.0857173i	0.0568217	−	0.00597221i
$207$	3.75740	−	6.44387i	0.261157	−	0.447880i
$208$	−0.148750	+	0.0662278i	−0.0103140	+	0.00459207i
$209$	0.391049	+	0.284114i	0.0270495	+	0.0196526i
$210$	−11.9565	+	12.9176i	−0.825076	+	0.891402i
$211$	6.76877	+	11.7239i	0.465981	+	0.807103i	0.999245	−	0.0388457i	$-0.0123681\pi$
$211$	6.76877	+	11.7239i	0.465981	+	0.807103i	−0.533264	+	0.845949i	$0.679035\pi$
$212$	3.22148	+	1.85992i	0.221252	+	0.127740i
$213$	12.3995	−	6.28430i	0.849597	−	0.430593i
$214$	14.1463	−	3.00689i	0.967022	−	0.205547i
$215$	0.150834	−	0.0221012i	0.0102868	−	0.00150729i
$216$	−2.38881	+	4.61450i	−0.162538	+	0.313977i
$217$	−1.58159	+	25.2547i	−0.107365	+	1.71440i
$218$	6.25267			0.423484
$219$	17.5792	−	2.74556i	1.18789	−	0.185527i
$220$	0.00661340	+	0.162117i	0.000445875	+	0.0109299i
$221$	0.0252910	+	0.0348101i	0.00170126	+	0.00234158i
$222$	−13.1514	−	10.6967i	−0.882665	−	0.717915i
$223$	−3.00327	−	5.20182i	−0.201114	−	0.348340i	0.747774	−	0.663954i	$-0.231123\pi$
$223$	−3.00327	−	5.20182i	−0.201114	−	0.348340i	−0.948888	+	0.315614i	$0.897790\pi$
$224$	1.84852	−	4.15185i	0.123510	−	0.277407i
$225$	−4.24159	−	14.3878i	−0.282773	−	0.959187i
$226$	16.0378	−	7.14050i	1.06682	−	0.474979i
$227$	−1.64248	−	0.349120i	−0.109015	−	0.0231719i	0.153081	−	0.988214i	$-0.451080\pi$
$227$	−1.64248	−	0.349120i	−0.109015	−	0.0231719i	−0.262096	+	0.965042i	$0.584414\pi$
$228$	11.5208	+	0.628613i	0.762985	+	0.0416309i
$229$	0.784128	+	0.706032i	0.0518166	+	0.0466559i	0.694632	−	0.719365i	$-0.255567\pi$
$229$	0.784128	+	0.706032i	0.0518166	+	0.0466559i	−0.642816	+	0.766021i	$0.722234\pi$
$230$	−2.97387	−	4.69766i	−0.196091	−	0.309755i
$231$	−0.149019	+	0.551404i	−0.00980475	+	0.0362797i
$232$	−2.35513	+	7.24834i	−0.154622	+	0.475877i
$233$	−4.38679	+	13.5012i	−0.287388	+	0.884491i	0.698284	+	0.715821i	$0.253947\pi$
$233$	−4.38679	+	13.5012i	−0.287388	+	0.884491i	−0.985673	+	0.168670i	$0.946053\pi$
$234$	0.200600	−	0.445392i	0.0131136	−	0.0291162i
$235$	12.0442	−	7.62464i	0.785678	−	0.497377i
$236$	4.37094	+	3.93561i	0.284524	+	0.256186i
$237$	−1.16061	+	21.2710i	−0.0753899	+	1.38170i
$238$	−1.17473	−	0.249696i	−0.0761462	−	0.0161854i
$239$	−16.8221	+	7.48969i	−1.08813	+	0.484468i	−0.870804	−	0.491631i	$-0.836401\pi$
$239$	−16.8221	+	7.48969i	−1.08813	+	0.484468i	−0.217329	+	0.976098i	$0.569734\pi$
$240$	2.23322	+	3.16429i	0.144154	+	0.204254i
$241$	−4.47691	+	10.0553i	−0.288383	+	0.647719i	−0.998405	−	0.0564609i	$-0.982018\pi$
$241$	−4.47691	+	10.0553i	−0.288383	+	0.647719i	0.710022	+	0.704180i	$0.248685\pi$
$242$	−5.49737	−	9.52172i	−0.353384	−	0.612079i
$243$	−3.87255	−	15.0998i	−0.248424	−	0.968651i
$244$	−7.33669	−	10.0981i	−0.469684	−	0.646464i
$245$	1.24453	+	30.5079i	0.0795104	+	1.94908i
$246$	1.60239	+	10.2597i	0.102164	+	0.654137i
$247$	−1.08467			−0.0690156
$248$	5.36309	+	1.49574i	0.340557	+	0.0949794i
$249$	−3.33890	−	0.536188i	−0.211594	−	0.0339796i
$250$	−10.9752	−	2.13176i	−0.694134	−	0.134825i
$251$	−20.4939	+	4.35611i	−1.29356	+	0.274956i	−0.802754	−	0.596311i	$-0.796633\pi$
$251$	−20.4939	+	4.35611i	−1.29356	+	0.274956i	−0.490810	+	0.871266i	$0.663299\pi$
$252$	4.15745	+	12.9850i	0.261895	+	0.817976i
$253$	−0.156248	−	0.0902098i	−0.00982322	−	0.00567144i
$254$	2.78762	+	4.82831i	0.174911	+	0.302955i
$255$	0.695205	−	0.751092i	0.0435354	−	0.0470352i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	9.56527	−	4.25873i	0.596665	−	0.265652i	−0.0861045	−	0.996286i	$-0.527442\pi$
$257$	9.56527	−	4.25873i	0.596665	−	0.265652i	0.682770	+	0.730634i	$0.260775\pi$
$258$	0.0425541	−	0.110149i	0.00264931	−	0.00685759i
$259$	−44.2377	+	4.64957i	−2.74880	+	0.288910i
$260$	−0.225837	−	0.285590i	−0.0140058	−	0.0177115i
$261$	−9.20978	−	20.9271i	−0.570071	−	1.29536i
$262$	17.4592	+	1.83504i	1.07863	+	0.113369i
$263$	3.67477	+	1.19400i	0.226596	+	0.0736255i	0.420114	−	0.907471i	$-0.361990\pi$
$263$	3.67477	+	1.19400i	0.226596	+	0.0736255i	−0.193518	+	0.981097i	$0.561990\pi$
$264$	0.111859	+	0.0572981i	0.00688443	+	0.00352645i
$265$	−2.24577	+	8.00890i	−0.137956	+	0.491983i
$266$	22.4985	−	20.2577i	1.37947	−	1.24208i
$267$	−1.09962	−	1.36391i	−0.0672959	−	0.0834697i
$268$	−0.237375	+	0.0249491i	−0.0145000	+	0.00152401i
$269$	−11.2439	−	2.38995i	−0.685550	−	0.145718i	−0.148047	−	0.988980i	$-0.547299\pi$
$269$	−11.2439	−	2.38995i	−0.685550	−	0.145718i	−0.537502	+	0.843262i	$0.680632\pi$
$270$	−11.3196	−	2.62030i	−0.688891	−	0.159466i
$271$	−12.4167	+	17.0901i	−0.754261	+	1.03815i	0.243409	+	0.969924i	$0.421734\pi$
$271$	−12.4167	+	17.0901i	−0.754261	+	1.03815i	−0.997670	+	0.0682276i	$0.978266\pi$
$272$	−0.107482	+	0.241408i	−0.00651703	+	0.0146375i
$273$	−0.456761	−	1.19759i	−0.0276444	−	0.0724814i
$274$	−8.55155	−	4.93724i	−0.516618	−	0.298270i
$275$	−0.347555	+	0.104087i	−0.0209584	+	0.00627667i
$276$	−4.30121	+	0.216148i	−0.258903	+	0.0130106i
$277$	−2.34624	−	7.22097i	−0.140972	−	0.433866i	0.855499	−	0.517804i	$-0.173250\pi$
$277$	−2.34624	−	7.22097i	−0.140972	−	0.433866i	−0.996471	+	0.0839377i	$0.973250\pi$
$278$			0.0351331i			0.00210715i
$279$	−14.9910	+	7.36681i	−0.897488	+	0.441039i
$280$	10.0182	+	1.70596i	0.598701	+	0.101950i
$281$	8.68650	−	2.82242i	0.518193	−	0.168371i	−0.0382320	−	0.999269i	$-0.512173\pi$
$281$	8.68650	−	2.82242i	0.518193	−	0.168371i	0.556425	+	0.830898i	$0.312173\pi$
$282$	−0.554177	−	11.0278i	−0.0330008	−	0.656695i
$283$	−11.3242	−	15.5865i	−0.673157	−	0.926520i	0.326670	−	0.945138i	$-0.394073\pi$
$283$	−11.3242	−	15.5865i	−0.673157	−	0.926520i	−0.999827	+	0.0186179i	$0.994073\pi$
$284$	−6.95052	−	4.01288i	−0.412437	−	0.238121i
$285$	5.01687	+	25.3072i	0.297174	+	1.49907i
$286$	−0.0107935	−	0.00480558i	−0.000638234	−	0.000284160i
$287$	22.0434	+	16.0154i	1.30118	+	0.945362i
$288$	2.98489	−	0.300757i	0.175886	−	0.0177223i
$289$	−16.5602	−	3.51998i	−0.974130	−	0.207058i
$290$	−17.0070	−	1.08906i	−0.998687	−	0.0639517i
$291$	−3.38301	+	2.72749i	−0.198316	+	0.159888i
$292$	−6.87358	−	7.63388i	−0.402246	−	0.446739i
$293$	−1.24150	+	11.8121i	−0.0725290	+	0.690067i	0.896487	+	0.443070i	$0.146111\pi$
$293$	−1.24150	+	11.8121i	−0.0725290	+	0.690067i	−0.969016	+	0.246998i	$0.920556\pi$
$294$	21.0500	+	10.7826i	1.22766	+	0.628852i
$295$	−6.10620	+	11.6484i	−0.355517	+	0.678196i
$296$	−1.02306	+	9.73377i	−0.0594642	+	0.565764i
$297$	−0.364814	+	0.0952348i	−0.0211687	+	0.00552609i
$298$	7.10998	+	6.40186i	0.411870	+	0.370850i
$299$	0.402643	−	0.0423194i	0.0232854	−	0.00244740i
$300$	−5.61876	+	6.59011i	−0.324399	+	0.380480i
$301$	−0.126024	−	0.283054i	−0.00726390	−	0.0163150i
$302$	8.16904	−	11.2437i	0.470075	−	0.647003i
$303$	−13.8515	−	9.03764i	−0.795747	−	0.519199i
$304$	−3.33072	−	5.76898i	−0.191030	−	0.330874i
$305$	17.8148	−	21.4855i	1.02007	−	1.23026i
$306$	−0.241733	−	0.755006i	−0.0138190	−	0.0431608i
$307$	−4.24748	−	19.9828i	−0.242417	−	1.14048i	−0.915940	−	0.401315i	$-0.868553\pi$
$307$	−4.24748	−	19.9828i	−0.242417	−	1.14048i	0.673523	−	0.739166i	$-0.264780\pi$
$308$	0.313634	−	0.101906i	0.0178710	−	0.00580663i
$309$	1.40238	+	0.225206i	0.0797786	+	0.0128115i
$310$	−0.271043	+	12.4469i	−0.0153942	+	0.706939i
$311$			21.3003i			1.20783i	0.797050	+	0.603913i	$0.206393\pi$
$311$			21.3003i			1.20783i	−0.797050	+	0.603913i	$0.793607\pi$
$312$	−0.278647	+	0.0435197i	−0.0157753	+	0.00246382i
$313$	22.3425	−	4.74905i	1.26287	−	0.268432i	0.472650	−	0.881250i	$-0.343297\pi$
$313$	22.3425	−	4.74905i	1.26287	−	0.268432i	0.790224	+	0.612818i	$0.209964\pi$
$314$	−5.70964	−	7.85865i	−0.322214	−	0.443489i
$315$	−25.8293	+	16.1962i	−1.45531	+	0.912554i
$316$	10.6513	−	6.14953i	0.599183	−	0.345938i
$317$	−24.1763	−	10.7640i	−1.35788	−	0.604566i	−0.406799	−	0.913518i	$-0.633355\pi$
$317$	−24.1763	−	10.7640i	−1.35788	−	0.604566i	−0.951078	+	0.308952i	$0.900022\pi$
$318$	4.54605	+	4.56564i	0.254930	+	0.256028i
$319$	−0.505205	+	0.224932i	−0.0282861	+	0.0125938i
$320$	0.825472	−	2.07812i	0.0461453	−	0.116171i
$321$	25.0123	+	1.36475i	1.39605	+	0.0761731i
$322$	−7.56137	+	8.39775i	−0.421378	+	0.467988i
$323$	−1.30817	+	1.17788i	−0.0727883	+	0.0655389i
$324$	−6.07945	+	6.63628i	−0.337747	+	0.368682i
$325$	0.493673	−	0.647383i	0.0273841	−	0.0359104i
$326$	21.3375	+	6.93298i	1.18178	+	0.383982i
$327$	10.4549	+	2.82547i	0.578155	+	0.156249i
$328$	4.45536	−	4.01162i	0.246006	−	0.221505i
$329$	−21.5308	−	19.3864i	−1.18703	−	1.06881i
$330$	−0.0622000	+	0.274059i	−0.00342399	+	0.0150865i
$331$	2.12032	−	9.97531i	0.116543	−	0.548292i	−0.880673	−	0.473725i	$-0.842909\pi$
$331$	2.12032	−	9.97531i	0.116543	−	0.548292i	0.997216	−	0.0745674i	$-0.0237576\pi$
$332$	0.794118	+	1.78362i	0.0435829	+	0.0978887i
$333$	−17.1564	−	23.8285i	−0.940164	−	1.30579i
$334$	−6.57282	+	14.7628i	−0.359649	+	0.807784i
$335$	−0.185478	−	0.500445i	−0.0101337	−	0.0273422i
$336$	4.96700	−	6.10685i	0.270972	−	0.333156i
$337$	14.6049	−	10.6111i	0.795580	−	0.578023i	−0.114034	−	0.993477i	$-0.536377\pi$
$337$	14.6049	−	10.6111i	0.795580	−	0.578023i	0.909614	+	0.415454i	$0.136377\pi$
$338$	−12.6900	+	2.69734i	−0.690244	+	0.146716i
$339$	30.0430	−	4.69217i	1.63171	−	0.254844i
$340$	−0.582504	−	0.0991923i	−0.0315907	−	0.00537946i
$341$	0.179739	+	0.361820i	0.00973341	+	0.0195936i
$342$	18.9795	+	6.25714i	1.02629	+	0.338348i
$343$	28.7645	−	9.34617i	1.55314	−	0.504646i
$344$	−0.0666857	+	0.0141745i	−0.00359545	+	0.000764237i
$345$	−2.84972	−	9.19864i	−0.153424	−	0.495238i
$346$	0.429109	−	0.743239i	0.0230691	−	0.0399568i
$347$	−1.30160	+	0.751480i	−0.0698737	+	0.0403416i	−0.534530	−	0.845150i	$-0.679511\pi$
$347$	−1.30160	+	0.751480i	−0.0698737	+	0.0403416i	0.464656	+	0.885491i	$0.346178\pi$
$348$	−7.21333	+	11.0555i	−0.386675	+	0.592635i
$349$	26.5667	+	19.3018i	1.42208	+	1.03320i	0.991423	+	0.130689i	$0.0417189\pi$
$349$	26.5667	+	19.3018i	1.42208	+	1.03320i	0.430659	+	0.902515i	$0.358281\pi$
$350$	1.85091	+	22.6483i	0.0989351	+	1.21060i
$351$	0.536681	−	0.654077i	0.0286459	−	0.0349121i
$352$	−0.00758473	−	0.0721639i	−0.000404267	−	0.00384635i
$353$	1.58385	+	1.42611i	0.0843000	+	0.0759040i	0.710203	−	0.703996i	$-0.248603\pi$
$353$	1.58385	+	1.42611i	0.0843000	+	0.0759040i	−0.625903	+	0.779901i	$0.715270\pi$
$354$	5.53006	+	8.55575i	0.293919	+	0.454733i
$355$	4.84538	−	17.2797i	0.257166	−	0.917110i
$356$	−0.312571	+	0.961996i	−0.0165663	+	0.0509857i
$357$	−1.85139	−	0.948346i	−0.0979857	−	0.0501918i
$358$	1.27875	−	12.1665i	0.0675841	−	0.643020i
$359$	8.65010	−	7.78859i	0.456535	−	0.411066i	−0.408515	−	0.912752i	$-0.633953\pi$
$359$	8.65010	−	7.78859i	0.456535	−	0.411066i	0.865050	+	0.501686i	$0.167287\pi$
$360$	2.30421	+	6.30005i	0.121443	+	0.332042i
$361$	−2.65240	−	25.2359i	−0.139600	−	1.32820i
$362$	4.09556	−	19.2681i	0.215258	−	1.01271i
$363$	−4.88926	−	18.4051i	−0.256619	−	0.966017i
$364$	−0.434968	+	0.598682i	−0.0227985	+	0.0313795i
$365$	12.7326	−	19.1178i	0.666457	−	1.00067i
$366$	−7.70428	−	20.2000i	−0.402709	−	1.05587i
$367$	12.6683	−	21.9422i	0.661282	−	1.14537i	−0.318997	−	0.947756i	$-0.603346\pi$
$367$	12.6683	−	21.9422i	0.661282	−	1.14537i	0.980279	−	0.197619i	$-0.0633208\pi$
$368$	1.46149	+	2.01157i	0.0761856	+	0.104860i
$369$	−1.95690	+	17.8791i	−0.101872	+	0.930746i
$370$	−21.6540	+	3.17289i	−1.12574	+	0.164951i
$371$	16.9058			0.877705
$372$	8.29154	+	4.92446i	0.429897	+	0.255321i
$373$		−	33.5243i		−	1.73582i	−0.496722	−	0.867910i	$-0.665463\pi$
$373$		−	33.5243i		−	1.73582i	0.496722	−	0.867910i	$-0.334537\pi$
$374$	−0.0182361	+	0.00592528i	−0.000942968	+	0.000306389i
$375$	−17.3880	−	8.52396i	−0.897912	−	0.440175i
$376$	−5.15742	+	3.74709i	−0.265974	+	0.193241i
$377$	0.620482	−	1.07471i	0.0319565	−	0.0553502i
$378$	1.08384	+	23.5904i	0.0557469	+	1.21336i
$379$	8.57513	+	3.81789i	0.440475	+	0.196112i	0.614977	−	0.788545i	$-0.289165\pi$
$379$	8.57513	+	3.81789i	0.440475	+	0.196112i	−0.174503	+	0.984657i	$0.555832\pi$
$380$	10.6540	−	10.4099i	0.546540	−	0.534017i
$381$	2.47926	+	9.33292i	0.127016	+	0.478140i
$382$	−4.93486	+	23.2167i	−0.252490	+	1.18787i
$383$	−24.2875	+	2.55272i	−1.24104	+	0.130438i	−0.702204	−	0.711976i	$-0.747801\pi$
$383$	−24.2875	+	2.55272i	−1.24104	+	0.130438i	−0.538831	+	0.842414i	$0.681134\pi$
$384$	−1.08712	−	1.34840i	−0.0554768	−	0.0688100i
$385$	0.394422	+	0.623046i	0.0201016	+	0.0317534i
$386$	2.58109	+	0.271283i	0.131374	+	0.0138080i
$387$	0.120928	−	0.164947i	0.00614711	−	0.00838473i
$388$	2.38612	+	0.775298i	0.121137	+	0.0393598i
$389$	−2.82049	+	26.8351i	−0.143004	+	1.36060i	0.653942	+	0.756545i	$0.273114\pi$
$389$	−2.82049	+	26.8351i	−0.143004	+	1.36060i	−0.796946	+	0.604051i	$0.793552\pi$
$390$	−0.248561	−	0.579576i	−0.0125864	−	0.0293480i
$391$	0.439653	−	0.488284i	0.0222342	−	0.0246936i
$392$	−1.42732	−	13.5801i	−0.0720907	−	0.685897i
$393$	28.3637	+	10.9578i	1.43076	+	0.552749i
$394$	−7.25989	−	16.3060i	−0.365748	−	0.821483i
$395$	19.2199	+	19.6706i	0.967057	+	0.989734i
$396$	0.161143	+	0.146353i	0.00809775	+	0.00735452i
$397$	−1.60133	+	0.924528i	−0.0803684	+	0.0464007i	−0.539646	−	0.841892i	$-0.681442\pi$
$397$	−1.60133	+	0.924528i	−0.0803684	+	0.0464007i	0.459277	+	0.888293i	$0.348108\pi$
$398$	−17.5593	−	10.1379i	−0.880171	−	0.508167i
$399$	46.7731	−	23.7056i	2.34158	−	1.18676i
$400$	4.95916	+	0.637742i	0.247958	+	0.0318871i
$401$	−3.59973	−	11.0788i	−0.179762	−	0.553251i	0.820057	−	0.572282i	$-0.193942\pi$
$401$	−3.59973	−	11.0788i	−0.179762	−	0.553251i	−0.999819	+	0.0190312i	$0.993942\pi$
$402$	−0.408181	−	0.0655491i	−0.0203582	−	0.00326929i
$403$	−0.803539	−	0.419785i	−0.0400271	−	0.0209110i
$404$			9.54887i			0.475074i
$405$	−17.7431	−	9.49645i	−0.881661	−	0.471882i
$406$	7.20149	+	33.8803i	0.357404	+	1.68145i
$407$	−0.574553	+	0.417437i	−0.0284795	+	0.0206916i
$408$	−0.288804	+	0.355080i	−0.0142979	+	0.0175791i
$409$	−13.1975	+	7.61960i	−0.652576	+	0.376765i	−0.789443	−	0.613825i	$-0.789630\pi$
$409$	−13.1975	+	7.61960i	−0.652576	+	0.376765i	0.136866	+	0.990590i	$0.456297\pi$
$410$	11.1577	+	7.43114i	0.551041	+	0.366998i
$411$	−12.0677	−	12.1197i	−0.595256	−	0.597820i
$412$	−0.333539	−	0.749142i	−0.0164323	−	0.0369076i
$413$	26.1467	+	5.55765i	1.28660	+	0.273474i
$414$	−7.28958	−	1.58223i	−0.358264	−	0.0777624i
$415$	−3.42442	+	2.70794i	−0.168098	+	0.132928i
$416$	0.108953	+	0.121004i	0.00534185	+	0.00593272i
$417$	−0.0158761	+	0.0587449i	−0.000777454	+	0.00287675i
$418$	0.149368	−	0.459706i	0.00730581	−	0.0224850i
$419$	−10.0797	−	3.27508i	−0.492424	−	0.159998i	0.0522704	−	0.998633i	$-0.483354\pi$
$419$	−10.0797	−	3.27508i	−0.492424	−	0.159998i	−0.544694	+	0.838635i	$0.683354\pi$
$420$	15.9802	+	7.37952i	0.779752	+	0.360084i
$421$	−4.55143	−	5.05487i	−0.221823	−	0.246359i	0.621953	−	0.783054i	$-0.286339\pi$
$421$	−4.55143	−	5.05487i	−0.221823	−	0.246359i	−0.843776	+	0.536695i	$0.819673\pi$
$422$	9.05838	−	10.0604i	0.440955	−	0.489730i
$423$	4.05664	−	18.6896i	0.197241	−	0.908719i
$424$	0.773398	−	3.63855i	0.0375595	−	0.176704i
$425$	−0.107620	−	1.31688i	−0.00522035	−	0.0638780i
$426$	−9.80837	−	9.85062i	−0.475217	−	0.477264i
$427$	−51.8231	−	23.0731i	−2.50789	−	1.11659i
$428$	−7.23118	−	12.5248i	−0.349532	−	0.605407i
$429$	−0.0158759	−	0.0129126i	−0.000766496	−	0.000623429i
$430$	−0.0676299	−	0.136622i	−0.00326140	−	0.00658852i
$431$	1.37102	+	6.45015i	0.0660398	+	0.310693i	0.998753	−	0.0499265i	$-0.0158987\pi$
$431$	1.37102	+	6.45015i	0.0660398	+	0.310693i	−0.932713	+	0.360619i	$0.882565\pi$
$432$	5.12683	+	0.845932i	0.246665	+	0.0406999i
$433$	−40.0164			−1.92307			−0.961533	−	0.274689i	$-0.911425\pi$
$433$	−40.0164			−1.92307			−0.961533	+	0.274689i	$0.911425\pi$
$434$	24.5074	−	6.29995i	1.17639	−	0.302407i
$435$	−27.9447	−	9.50616i	−1.33985	−	0.455785i
$436$	−1.93218	−	5.94664i	−0.0925346	−	0.284792i
$437$	3.44370	+	16.2013i	0.164735	+	0.775015i
$438$	−8.04345	−	15.8704i	−0.384331	−	0.758317i
$439$	14.2659	−	24.7092i	0.680872	−	1.17930i	−0.293843	−	0.955854i	$-0.594934\pi$
$439$	14.2659	−	24.7092i	0.680872	−	1.17930i	0.974715	−	0.223451i	$-0.0717323\pi$
$440$	0.152139	−	0.0563867i	0.00725295	−	0.00268813i
$441$	30.3245	+	27.5413i	1.44403	+	1.31149i
$442$	0.0252910	−	0.0348101i	0.00120297	−	0.00165575i
$443$	30.6643	−	13.6526i	1.45691	−	0.648657i	0.483003	−	0.875619i	$-0.339546\pi$
$443$	30.6643	−	13.6526i	1.45691	−	0.648657i	0.973904	+	0.226962i	$0.0728794\pi$
$444$	−6.10914	+	15.8132i	−0.289927	+	0.750461i
$445$	−2.25717	−	0.144539i	−0.107000	−	0.00685182i
$446$	−4.01917	+	4.46374i	−0.190313	+	0.211364i
$447$	8.99547	+	13.9172i	0.425471	+	0.658261i
$448$	−4.51987	−	0.475057i	−0.213544	−	0.0224443i
$449$	3.56295	−	10.9656i	0.168146	−	0.517500i	−0.831108	−	0.556111i	$-0.812293\pi$
$449$	3.56295	−	10.9656i	0.168146	−	0.517500i	0.999254	+	0.0386103i	$0.0122931\pi$
$450$	−12.3729	+	8.48007i	−0.583264	+	0.399754i
$451$	0.432642	+	0.0454725i	0.0203723	+	0.00214122i
$452$	−11.7470	−	13.0463i	−0.552532	−	0.613649i
$453$	18.7400	−	15.1088i	0.880482	−	0.709873i
$454$	0.175522	+	1.66998i	0.00823764	+	0.0783759i
$455$	−1.53784	−	0.610859i	−0.0720948	−	0.0286375i
$456$	−2.96228	−	11.1512i	−0.138722	−	0.522203i
$457$	18.5904	+	13.5067i	0.869623	+	0.631818i	0.930486	−	0.366328i	$-0.119385\pi$
$457$	18.5904	+	13.5067i	0.869623	+	0.631818i	−0.0608626	+	0.998146i	$0.519385\pi$
$458$	0.429167	−	0.963926i	0.0200537	−	0.0450413i
$459$	−0.0630197	−	1.37166i	−0.00294151	−	0.0640234i
$460$	−3.54876	+	4.27998i	−0.165462	+	0.199555i
$461$	13.6546	−	9.92068i	0.635960	−	0.462052i	−0.222500	−	0.974933i	$-0.571422\pi$
$461$	13.6546	−	9.92068i	0.635960	−	0.462052i	0.858460	+	0.512880i	$0.171422\pi$
$462$	0.570466	−	0.0286675i	0.0265405	−	0.00133373i
$463$	−3.16844	−	9.75146i	−0.147250	−	0.453189i	0.850043	−	0.526713i	$-0.176576\pi$
$463$	−3.16844	−	9.75146i	−0.147250	−	0.453189i	−0.997293	+	0.0735236i	$0.976576\pi$
$464$	7.62136			0.353813
$465$	−6.07776	+	20.6896i	−0.281849	+	0.959459i
$466$	14.1960			0.657615
$467$	3.92012	+	12.0649i	0.181401	+	0.558296i	0.999868	−	0.0162583i	$-0.00517540\pi$
$467$	3.92012	+	12.0649i	0.181401	+	0.558296i	−0.818466	+	0.574554i	$0.805175\pi$
$468$	−0.485582	−	0.0531481i	−0.0224460	−	0.00245677i
$469$	−0.877586	+	0.637604i	−0.0405232	+	0.0294418i
$470$	−10.9733	−	9.09859i	−0.506162	−	0.419687i
$471$	−5.99571	−	15.7203i	−0.276268	−	0.724351i
$472$	2.39229	−	5.37318i	0.110114	−	0.247321i
$473$	−0.00400213	−	0.00290772i	−0.000184018	−	0.000133697i
$474$	20.5885	−	5.46928i	0.945663	−	0.251213i
$475$	28.4512	+	17.3176i	1.30543	+	0.794587i
$476$	0.125536	+	1.19439i	0.00575391	+	0.0547448i
$477$	5.53816	+	9.68832i	0.253575	+	0.443598i
$478$	12.3214	+	13.6843i	0.563570	+	0.625908i
$479$	16.9420	+	1.78068i	0.774101	+	0.0813613i	0.483338	−	0.875434i	$-0.339424\pi$
$479$	16.9420	+	1.78068i	0.774101	+	0.0813613i	0.290763	+	0.956795i	$0.406091\pi$
$480$	2.31931	−	3.10174i	0.105862	−	0.141574i
$481$	0.492466	−	1.51565i	0.0224545	−	0.0691079i
$482$	10.9466	+	1.15053i	0.498604	+	0.0524054i
$483$	−16.4379	+	10.6247i	−0.747950	+	0.483442i
$484$	−7.35691	+	8.17068i	−0.334405	+	0.371395i
$485$	−0.358513	+	5.59864i	−0.0162793	+	0.254221i
$486$	−13.1641	+	8.34910i	−0.597134	+	0.378723i
$487$	21.6221	−	9.62678i	0.979791	−	0.436231i	0.146588	−	0.989198i	$-0.453171\pi$
$487$	21.6221	−	9.62678i	0.979791	−	0.436231i	0.833203	+	0.552967i	$0.186504\pi$
$488$	−7.33669	+	10.0981i	−0.332116	+	0.457119i
$489$	32.5448	+	21.2345i	1.47173	+	0.960255i
$490$	28.6301	−	10.6111i	1.29338	−	0.479359i
$491$	12.6187	−	21.8562i	0.569473	−	0.986356i	−0.427145	−	0.904183i	$-0.640481\pi$
$491$	12.6187	−	21.8562i	0.569473	−	0.986356i	0.996618	−	0.0821729i	$-0.0261860\pi$
$492$	9.26243	−	4.69440i	0.417583	−	0.211640i
$493$	−0.418728	−	1.96996i	−0.0188586	−	0.0887226i
$494$	0.335180	+	1.03158i	0.0150805	+	0.0464129i
$495$	−0.227845	+	0.430138i	−0.0102409	+	0.0193333i
$496$	−0.234756	−	5.56281i	−0.0105409	−	0.249778i
$497$	−36.4752			−1.63614
$498$	0.521831	+	3.34117i	0.0233838	+	0.149722i
$499$	0.575626	+	2.70811i	0.0257685	+	0.121231i	0.989152	−	0.146896i	$-0.0469284\pi$
$499$	0.575626	+	2.70811i	0.0257685	+	0.121231i	−0.963383	+	0.268128i	$0.913595\pi$
$500$	1.36410	+	11.0968i	0.0610046	+	0.496264i
$501$	−17.6612	+	21.7142i	−0.789046	+	0.970119i
$502$	10.4759	+	18.1448i	0.467561	+	0.809840i
$503$	21.6821	+	9.65351i	0.966758	+	0.430429i	0.828513	−	0.559969i	$-0.189187\pi$
$503$	21.6821	+	9.65351i	0.966758	+	0.430429i	0.138245	+	0.990398i	$0.455854\pi$
$504$	11.0647	−	7.96655i	0.492862	−	0.354858i
$505$	−20.6870	+	5.28691i	−0.920560	+	0.235264i
$506$	−0.0375113	+	0.176477i	−0.00166758	+	0.00784536i
$507$	−22.4374	−	1.22425i	−0.996478	−	0.0543711i
$508$	3.73057	−	4.14322i	0.165517	−	0.183825i
$509$	29.4524	+	32.7102i	1.30545	+	1.44985i	0.816266	+	0.577677i	$0.196041\pi$
$509$	29.4524	+	32.7102i	1.30545	+	1.44985i	0.489189	+	0.872178i	$0.337293\pi$
$510$	−0.929161	−	0.429079i	−0.0411439	−	0.0190000i
$511$	−44.4007	−	14.4267i	−1.96417	−	0.638198i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	28.9075	+	19.0389i	1.27630	+	0.840586i
$514$	−7.00613	−	7.78109i	−0.309027	−	0.343209i
$515$	1.43830	−	1.13737i	0.0633790	−	0.0501184i
$516$	−0.117908	−	0.00643344i	−0.00519061	−	0.000283216i
$517$	−0.452465	−	0.0961744i	−0.0198994	−	0.00422975i
$518$	18.0922	+	40.6357i	0.794926	+	1.78543i
$519$	1.05336	−	1.04884i	0.0462372	−	0.0460389i
$520$	−0.201824	+	0.303036i	−0.00885059	+	0.0132890i
$521$	−24.8794	+	14.3641i	−1.08999	+	0.629303i	−0.933573	−	0.358388i	$-0.883326\pi$
$521$	−24.8794	+	14.3641i	−1.08999	+	0.629303i	−0.156413	+	0.987692i	$0.549993\pi$
$522$	−17.0569	+	15.2259i	−0.746561	+	0.666418i
$523$	−25.1706	+	18.2875i	−1.10063	+	0.799658i	−0.981163	−	0.193180i	$-0.938120\pi$
$523$	−25.1706	+	18.2875i	−1.10063	+	0.799658i	−0.119471	+	0.992838i	$0.538120\pi$
$524$	−3.64997	−	17.1718i	−0.159450	−	0.750152i
$525$	−7.13954	+	38.7058i	−0.311595	+	1.68926i
$526$		−	3.86388i		−	0.168473i
$527$	−1.42497	+	0.366308i	−0.0620728	+	0.0159566i
$528$	0.0199274	−	0.124090i	0.000867230	−	0.00540033i
$529$	5.19693	+	15.9945i	0.225953	+	0.695413i
$530$	8.31090	−	0.339034i	0.361002	−	0.0147267i
$531$	5.38043	+	16.8047i	0.233491	+	0.729262i
$532$	−26.2187	−	15.1374i	−1.13672	−	0.656287i
$533$	−0.845409	+	0.488097i	−0.0366187	+	0.0211418i
$534$	−0.957349	+	1.46727i	−0.0414285	+	0.0634952i
$535$	23.1304	−	22.6005i	1.00002	−	0.977103i
$536$	0.0970810	+	0.218048i	0.00419326	+	0.00941822i
$537$	7.63598	−	19.7653i	0.329517	−	0.852937i
$538$	1.20156	+	11.4321i	0.0518029	+	0.492872i
$539$	0.662986	−	0.736320i	0.0285568	−	0.0317156i
$540$	1.00591	+	11.5753i	0.0432874	+	0.498123i
$541$	0.311358	−	2.96237i	0.0133863	−	0.127362i	−0.985788	−	0.167995i	$-0.946271\pi$
$541$	0.311358	−	2.96237i	0.0133863	−	0.127362i	0.999174	+	0.0406329i	$0.0129374\pi$
$542$	20.0907	+	6.52785i	0.862967	+	0.280395i
$543$	15.5550	−	30.3668i	0.667527	−	1.30316i
$544$	0.262806	+	0.0276220i	0.0112677	+	0.00118428i
$545$	11.8132	−	7.47842i	0.506023	−	0.320340i
$546$	−0.997829	+	0.804481i	−0.0427031	+	0.0344286i
$547$	−31.7661	+	3.33875i	−1.35822	+	0.142755i	−0.755475	−	0.655178i	$-0.772594\pi$
$547$	−31.7661	+	3.33875i	−1.35822	+	0.142755i	−0.602746	+	0.797933i	$0.705927\pi$
$548$	−2.05302	+	9.65870i	−0.0877007	+	0.412599i
$549$	−3.75403	−	37.2571i	−0.160218	−	1.59010i
$550$	0.206393	+	0.298380i	0.00880063	+	0.0127230i
$551$	46.3800	+	20.6497i	1.97586	+	0.879707i
$552$	1.53472	+	4.02390i	0.0653219	+	0.171269i
$553$	27.9482	−	48.4077i	1.18848	−	2.05850i
$554$	−6.14253	+	4.46281i	−0.260971	+	0.189607i
$555$	−37.6407	−	4.47981i	−1.59776	−	0.190157i
$556$	0.0334136	−	0.0108567i	0.00141705	−	0.000460428i
$557$			27.6742i			1.17259i	0.810096	+	0.586297i	$0.199415\pi$
$557$			27.6742i			1.17259i	−0.810096	+	0.586297i	$0.800585\pi$
$558$	11.6387	+	11.9808i	0.492707	+	0.507189i
$559$	0.0111008			0.000469515
$560$	−1.47333	−	10.0550i	−0.0622595	−	0.424903i
$561$	−0.0331695	+	0.00166686i	−0.00140042	+	7.03750e-5i
$562$	−5.36855	−	7.38918i	−0.226459	−	0.311694i
$563$	14.5481	−	25.1980i	0.613128	−	1.06197i	−0.377582	−	0.925976i	$-0.623244\pi$
$563$	14.5481	−	25.1980i	0.613128	−	1.06197i	0.990710	−	0.135993i	$-0.0434224\pi$
$564$	−10.3168	+	3.93483i	−0.434415	+	0.165686i
$565$	21.7602	−	32.6725i	0.915457	−	1.37454i
$566$	−11.3242	+	15.5865i	−0.475994	+	0.655149i
$567$	−8.84783	+	39.9345i	−0.371574	+	1.67709i
$568$	−1.66865	+	7.85039i	−0.0700151	+	0.329395i
$569$	−3.12072	−	29.6917i	−0.130828	−	1.24474i	−0.841126	−	0.540840i	$-0.818107\pi$
$569$	−3.12072	−	29.6917i	−0.130828	−	1.24474i	0.710298	−	0.703901i	$-0.248560\pi$
$570$	22.5183	−	12.5917i	0.943187	−	0.527407i
$571$	0.627875	−	0.565342i	0.0262758	−	0.0236588i	−0.655888	−	0.754858i	$-0.727706\pi$
$571$	0.627875	−	0.565342i	0.0262758	−	0.0236588i	0.682164	+	0.731199i	$0.261039\pi$
$572$	−0.00123500	+	0.0117502i	−5.16380e−5	+	0.000491303i
$573$	−18.7426	+	36.5899i	−0.782985	+	1.52856i
$574$	8.41982	−	25.9135i	0.351437	−	1.08161i
$575$	−11.2371	−	5.31848i	−0.468621	−	0.221796i
$576$	−1.20842	−	2.74586i	−0.0503507	−	0.114411i
$577$	23.7970	+	21.4269i	0.990682	+	0.892014i	0.994153	−	0.107980i	$-0.0344382\pi$
$577$	23.7970	+	21.4269i	0.990682	+	0.892014i	−0.00347089	+	0.999994i	$0.501105\pi$
$578$	1.76968	+	16.8374i	0.0736092	+	0.700345i
$579$	4.19316	+	1.61995i	0.174262	+	0.0673229i
$580$	4.21971	+	16.5112i	0.175214	+	0.685590i
$581$	7.17861	+	5.21557i	0.297819	+	0.216378i
$582$	3.63941	+	2.37460i	0.150858	+	0.0984302i
$583$	0.233755	−	0.134958i	0.00968113	−	0.00558940i
$584$	−5.13620	+	8.89616i	−0.212537	+	0.368126i
$585$	−0.153710	−	1.08141i	−0.00635511	−	0.0447108i
$586$	11.6176	−	2.46939i	0.479917	−	0.102010i
$587$	13.6483	−	4.43460i	0.563325	−	0.183036i	−0.0134915	−	0.999909i	$-0.504295\pi$
$587$	13.6483	−	4.43460i	0.563325	−	0.183036i	0.576817	+	0.816873i	$0.304295\pi$
$588$	3.75002	−	23.3517i	0.154648	−	0.963010i
$589$	13.6436	−	34.4888i	0.562174	−	1.42108i
$590$	12.9652	+	2.20779i	0.533769	+	0.0908934i
$591$	−4.77062	−	30.5453i	−0.196237	−	1.25647i
$592$	9.57351	−	2.03491i	0.393469	−	0.0836344i
$593$	−18.0773	+	13.1340i	−0.742348	+	0.539347i	−0.893445	−	0.449172i	$-0.851719\pi$
$593$	−18.0773	+	13.1340i	−0.742348	+	0.539347i	0.151098	+	0.988519i	$0.451719\pi$
$594$	0.203308	+	0.317530i	0.00834181	+	0.0130284i
$595$	−2.51807	+	0.933262i	−0.103231	+	0.0382600i
$596$	3.89142	−	8.74028i	0.159399	−	0.358016i
$597$	−24.7792	−	24.8860i	−1.01415	−	1.01852i
$598$	−0.164672	−	0.369858i	−0.00673392	−	0.0151246i
$599$	−6.21895	+	29.2579i	−0.254100	+	1.19544i	0.647225	+	0.762299i	$0.275930\pi$
$599$	−6.21895	+	29.2579i	−0.254100	+	1.19544i	−0.901324	+	0.433145i	$0.857404\pi$
$600$	8.00386	+	3.30731i	0.326756	+	0.135020i
$601$	−5.80495	−	5.22680i	−0.236789	−	0.213206i	0.542190	−	0.840256i	$-0.317595\pi$
$601$	−5.80495	−	5.22680i	−0.236789	−	0.213206i	−0.778979	+	0.627050i	$0.784262\pi$
$602$	−0.230257	+	0.207324i	−0.00938458	+	0.00844991i
$603$	−0.652885	−	0.294052i	−0.0265875	−	0.0119747i
$604$	−13.2178	−	4.29472i	−0.537824	−	0.174750i
$605$	−21.7746	−	11.4144i	−0.885262	−	0.464063i
$606$	−4.31497	+	15.9663i	−0.175284	+	0.648588i
$607$	8.62663	−	7.76745i	0.350144	−	0.315271i	−0.475225	−	0.879864i	$-0.657633\pi$
$607$	8.62663	−	7.76745i	0.350144	−	0.315271i	0.825370	+	0.564593i	$0.190967\pi$
$608$	−4.45738	+	4.95042i	−0.180771	+	0.200766i
$609$	−3.26858	+	59.9044i	−0.132449	+	2.42745i
$610$	−25.9390	−	10.3035i	−1.05024	−	0.417176i
$611$	0.948271	−	0.422198i	0.0383629	−	0.0170803i
$612$	−0.643354	+	0.463212i	−0.0260060	+	0.0187242i
$613$	27.3788	+	12.1898i	1.10582	+	0.492343i	0.876692	−	0.481053i	$-0.159746\pi$
$613$	27.3788	+	12.1898i	1.10582	+	0.492343i	0.229129	+	0.973396i	$0.426412\pi$
$614$	−17.6923	+	10.2146i	−0.714002	+	0.412229i
$615$	15.2984	+	17.4673i	0.616892	+	0.704351i
$616$	−0.193836	−	0.266793i	−0.00780989	−	0.0107494i
$617$	−25.9520	+	5.51626i	−1.04479	+	0.222076i	−0.698171	−	0.715931i	$-0.746003\pi$
$617$	−25.9520	+	5.51626i	−1.04479	+	0.222076i	−0.346616	+	0.938007i	$0.612669\pi$
$618$	−0.219176	−	1.40333i	−0.00881653	−	0.0564504i
$619$		−	3.11535i		−	0.125216i	−0.998038	−	0.0626082i	$-0.980058\pi$
$619$		−	3.11535i		−	0.125216i	0.998038	−	0.0626082i	$-0.0199418\pi$
$620$	11.9215	−	3.58854i	0.478779	−	0.144119i
$621$	−11.4737	−	5.93963i	−0.460423	−	0.238349i
$622$	20.2577	−	6.58214i	0.812261	−	0.263920i
$623$	0.955778	+	4.49658i	0.0382925	+	0.180152i
$624$	0.127496	+	0.251561i	0.00510394	+	0.0100705i
$625$	−23.2853	+	9.09920i	−0.931411	+	0.363968i
$626$	−11.4208	−	19.7815i	−0.456469	−	0.790627i
$627$	0.457486	−	0.701162i	0.0182702	−	0.0280017i
$628$	−5.70964	+	7.85865i	−0.227840	+	0.313594i
$629$	−1.05196	−	2.36275i	−0.0419446	−	0.0942090i
$630$	23.3852	+	19.5602i	0.931689	+	0.779297i
$631$	−7.43933	+	0.781906i	−0.296155	+	0.0311272i	−0.251441	−	0.967873i	$-0.580904\pi$
$631$	−7.43933	+	0.781906i	−0.296155	+	0.0311272i	−0.0447143	+	0.999000i	$0.514238\pi$
$632$	−9.13999	−	8.22968i	−0.363569	−	0.327359i
$633$	19.6923	−	12.7282i	0.782699	−	0.505902i
$634$	−2.76627	+	26.3193i	−0.109863	+	1.04527i
$635$	11.0415	+	5.78807i	0.438169	+	0.229693i
$636$	2.93737	−	5.73441i	0.116474	−	0.227384i
$637$	−0.232407	+	2.21121i	−0.00920831	+	0.0876112i
$638$	0.370040	+	0.410971i	0.0146500	+	0.0162705i
$639$	−11.9489	−	20.9031i	−0.472692	−	0.826915i
$640$	−2.23150	−	0.142896i	−0.0882077	−	0.00564845i
$641$	35.0344	+	7.44679i	1.38377	+	0.294130i	0.838854	−	0.544357i	$-0.183226\pi$
$641$	35.0344	+	7.44679i	1.38377	+	0.294130i	0.544921	+	0.838487i	$0.316560\pi$
$642$	−6.43128	−	24.2099i	−0.253822	−	0.955487i
$643$	−38.5996	−	28.0442i	−1.52222	−	1.10596i	−0.960374	−	0.278714i	$-0.910092\pi$
$643$	−38.5996	−	28.0442i	−1.52222	−	1.10596i	−0.561845	−	0.827242i	$-0.689908\pi$
$644$	10.3233	+	4.59624i	0.406796	+	0.181117i
$645$	−0.0513443	−	0.259002i	−0.00202168	−	0.0101982i
$646$	1.52447	+	0.880156i	0.0599796	+	0.0346293i
$647$	−28.4855	−	39.2070i	−1.11988	−	1.54139i	−0.805993	−	0.591926i	$-0.798368\pi$
$647$	−28.4855	−	39.2070i	−1.11988	−	1.54139i	−0.313889	−	0.949460i	$-0.601632\pi$
$648$	8.19013	+	3.73118i	0.321739	+	0.146575i
$649$	0.405895	−	0.131883i	0.0159328	−	0.00517687i
$650$	−0.768251	−	0.269459i	−0.0301333	−	0.0105690i
$651$	43.8248	+	0.540526i	1.71763	+	0.0211849i
$652$		−	22.4356i		−	0.878646i
$653$	−9.34135	−	28.7497i	−0.365555	−	1.12506i	−0.949633	−	0.313366i	$-0.898543\pi$
$653$	−9.34135	−	28.7497i	−0.365555	−	1.12506i	0.584077	−	0.811698i	$-0.301457\pi$
$654$	−0.543549	−	10.8163i	−0.0212544	−	0.422950i
$655$	35.1807	−	17.4149i	1.37462	−	0.680456i
$656$	−5.19206	−	2.99764i	−0.202716	−	0.117038i
$657$	−6.27762	−	30.1710i	−0.244913	−	1.17708i
$658$	−11.7842	+	26.4677i	−0.459396	+	1.03182i
$659$	−9.69326	+	13.3416i	−0.377596	+	0.519716i	−0.954946	−	0.296781i	$-0.904087\pi$
$659$	−9.69326	+	13.3416i	−0.377596	+	0.519716i	0.577350	+	0.816497i	$0.304087\pi$
$660$	0.279867	−	0.0255333i	0.0108938	−	0.000993882i
$661$	9.58645	+	2.03766i	0.372870	+	0.0792559i	0.390535	−	0.920588i	$-0.372290\pi$
$661$	9.58645	+	2.03766i	0.372870	+	0.0792559i	−0.0176653	+	0.999844i	$0.505623\pi$
$662$	−10.1423	+	1.06600i	−0.394191	+	0.0414312i
$663$	0.0580184	−	0.0467762i	0.00225325	−	0.00181664i
$664$	1.45093	−	1.30642i	0.0563068	−	0.0506989i
$665$	18.2777	−	65.1822i	0.708778	−	2.52766i
$666$	−17.3606	+	23.6801i	−0.672709	+	0.917584i
$667$	−18.0226	−	5.85589i	−0.697837	−	0.226741i
$668$	16.0714	+	1.68917i	0.621820	+	0.0653559i
$669$	−8.73739	+	5.64747i	−0.337807	+	0.218344i
$670$	−0.418636	+	0.331046i	−0.0161733	+	0.0127894i
$671$	−0.900744	+	0.0946720i	−0.0347728	+	0.00365477i
$672$	−7.34284	−	2.83678i	−0.283256	−	0.109431i
$673$	−34.0032	+	15.1392i	−1.31073	+	0.583573i	−0.938728	−	0.344660i	$-0.887994\pi$
$673$	−34.0032	+	15.1392i	−1.31073	+	0.583573i	−0.371999	+	0.928233i	$0.621328\pi$
$674$	−14.6049	−	10.6111i	−0.562560	−	0.408724i
$675$	−24.5203	+	8.58813i	−0.943786	+	0.330557i
$676$	6.48674	+	11.2354i	0.249490	+	0.432130i
$677$	18.5382	+	10.7030i	0.712481	+	0.411351i	0.811979	−	0.583687i	$-0.198390\pi$
$677$	18.5382	+	10.7030i	0.712481	+	0.411351i	−0.0994981	+	0.995038i	$0.531724\pi$
$678$	−13.7463	−	27.1226i	−0.527924	−	1.04164i
$679$	11.1533	−	2.37070i	0.428023	−	0.0909791i
$680$	0.0856661	+	0.584646i	0.00328515	+	0.0224202i
$681$	−0.461150	+	2.87163i	−0.0176713	+	0.110041i
$682$	0.288569	−	0.282750i	0.0110499	−	0.0108271i
$683$	−7.59693			−0.290688			−0.145344	−	0.989381i	$-0.546429\pi$
$683$	−7.59693			−0.290688			−0.145344	+	0.989381i	$0.546429\pi$
$684$	0.0859042	−	19.9842i	0.00328463	−	0.764113i
$685$	−22.0617	+	0.899982i	−0.842933	+	0.0343865i
$686$	−17.7775	−	24.4686i	−0.678747	−	0.934215i
$687$	1.15318	−	1.41781i	0.0439965	−	0.0540930i
$688$	0.0340877	+	0.0590417i	0.00129958	+	0.00225094i
$689$	−0.246357	+	0.553327i	−0.00938545	+	0.0210801i
$690$	−7.86781	+	5.55278i	−0.299522	+	0.211391i
$691$	8.13228	−	3.62073i	0.309367	−	0.137739i	−0.246180	−	0.969224i	$-0.579176\pi$
$691$	8.13228	−	3.62073i	0.309367	−	0.137739i	0.555547	+	0.831485i	$0.312509\pi$
$692$	−0.839465	−	0.178434i	−0.0319117	−	0.00678303i
$693$	0.966811	+	0.209850i	0.0367261	+	0.00797153i
$694$	1.11692	+	1.00568i	0.0423976	+	0.0381750i
$695$	0.0420205	+	0.0663774i	0.00159393	+	0.00251784i
$696$	12.7434	+	3.44396i	0.483037	+	0.130543i
$697$	−0.489567	+	1.50673i	−0.0185437	+	0.0570716i
$698$	10.1476	−	31.2310i	0.384091	−	1.18211i
$699$	23.7366	+	6.41491i	0.897800	+	0.242634i
$700$	20.9679	−	8.75903i	0.792511	−	0.331060i
$701$	−14.4270	−	12.9901i	−0.544901	−	0.490631i	0.350090	−	0.936716i	$-0.386151\pi$
$701$	−14.4270	−	12.9901i	−0.544901	−	0.490631i	−0.894991	+	0.446085i	$0.852818\pi$
$702$	−0.787908	−	0.308293i	−0.0297377	−	0.0116358i
$703$	63.7734	+	13.5555i	2.40526	+	0.511254i
$704$	−0.0662881	+	0.0295134i	−0.00249833	+	0.00111233i
$705$	−14.2366	−	20.1721i	−0.536183	−	0.759725i
$706$	0.866871	−	1.94703i	0.0326251	−	0.0732773i
$707$	21.6987	+	37.5832i	0.816062	+	1.41346i
$708$	6.42812	−	7.90327i	0.241584	−	0.297023i
$709$	9.41148	+	12.9538i	0.353456	+	0.486490i	0.948311	−	0.317343i	$-0.102791\pi$
$709$	9.41148	+	12.9538i	0.353456	+	0.486490i	−0.594855	+	0.803833i	$0.702791\pi$
$710$	−17.9313	+	0.731486i	−0.672948	+	0.0274522i
$711$	36.8969	+	0.158605i	1.38374	+	0.00594817i
$712$	1.01150			0.0379077
$713$	−3.71906	+	13.3350i	−0.139280	+	0.499400i
$714$	−0.329821	+	2.05383i	−0.0123432	+	0.0768626i
$715$	−0.0261400	+	0.00383019i	−0.000977579	+	0.000143241i
$716$	−11.9662	+	2.54349i	−0.447197	+	0.0950547i
$717$	14.4185	+	28.4490i	0.538470	+	1.06245i
$718$	−10.0804	−	5.81993i	−0.376198	−	0.217198i
$719$	−20.1784	−	34.9501i	−0.752529	−	1.30342i	−0.946593	−	0.322430i	$-0.895500\pi$
$719$	−20.1784	−	34.9501i	−0.752529	−	1.30342i	0.194064	−	0.980989i	$-0.437833\pi$
$720$	5.27966	−	4.13826i	0.196761	−	0.154224i
$721$	−3.01511	−	2.19060i	−0.112288	−	0.0815823i
$722$	−23.1811	+	10.3209i	−0.862711	+	0.384104i
$723$	17.7835	+	6.87034i	0.661376	+	0.255511i
$724$	−19.5907	+	2.05906i	−0.728081	+	0.0765244i
$725$	−33.4341	+	18.2835i	−1.24171	+	0.679031i
$726$	−15.9934	+	10.3374i	−0.593572	+	0.383659i
$727$	−19.2258	−	2.02071i	−0.713045	−	0.0749441i	−0.258942	−	0.965893i	$-0.583374\pi$
$727$	−19.2258	−	2.02071i	−0.713045	−	0.0749441i	−0.454104	+	0.890949i	$0.650040\pi$
$728$	0.703793	+	0.228676i	0.0260843	+	0.00847530i
$729$	−25.7840	+	8.01163i	−0.954962	+	0.296727i
$730$	−22.1167	−	6.20173i	−0.818577	−	0.229536i
$731$	0.0133882	−	0.0120548i	0.000495181	−	0.000445863i
$732$	−16.8306	+	13.5693i	−0.622076	+	0.501537i
$733$	−48.3210	+	5.07874i	−1.78478	+	0.187588i	−0.938529	−	0.345200i	$-0.887811\pi$
$733$	−48.3210	+	5.07874i	−1.78478	+	0.187588i	−0.846249	+	0.532788i	$0.821144\pi$
$734$	−24.7830	−	5.26780i	−0.914758	−	0.194438i
$735$	52.6664	−	4.80495i	1.94263	−	0.177233i
$736$	1.46149	−	2.01157i	0.0538714	−	0.0741476i
$737$	−0.00704433	+	0.0158218i	−0.000259481	+	0.000582805i
$738$	17.6087	−	3.66381i	0.648185	−	0.134867i
$739$	−14.9026	−	8.60400i	−0.548200	−	0.316503i	0.200196	−	0.979756i	$-0.435842\pi$
$739$	−14.9026	−	8.60400i	−0.548200	−	0.316503i	−0.748396	+	0.663253i	$0.769176\pi$
$740$	9.70906	+	19.6137i	0.356912	+	0.721015i
$741$	0.0942908	+	1.87633i	0.00346386	+	0.0689286i
$742$	−5.22418	−	16.0784i	−0.191786	−	0.590255i
$743$			38.6879i			1.41932i	0.704543	+	0.709661i	$0.251152\pi$
$743$			38.6879i			1.41932i	−0.704543	+	0.709661i	$0.748848\pi$
$744$	2.12121	−	9.40747i	0.0777673	−	0.344895i
$745$	21.0898	+	3.59130i	0.772671	+	0.131575i
$746$	−31.8835	+	10.3596i	−1.16734	+	0.379291i
$747$	−0.637282	+	5.82247i	−0.0233169	+	0.213033i
$748$	0.0112706	+	0.0155126i	0.000412092	+	0.000567196i
$749$	−56.9221	−	32.8640i	−2.07989	−	1.20082i
$750$	−2.73358	+	19.1710i	−0.0998164	+	0.700026i
$751$	−38.7106	−	17.2351i	−1.41257	−	0.628917i	−0.448312	−	0.893877i	$-0.647974\pi$
$751$	−38.7106	−	17.2351i	−1.41257	−	0.628917i	−0.964259	+	0.264960i	$0.914641\pi$
$752$	5.15742	+	3.74709i	0.188072	+	0.136642i
$753$	9.31705	+	35.0731i	0.339532	+	1.27813i
$754$	−1.21385	−	0.258011i	−0.0442057	−	0.00939621i
$755$	1.98596	−	31.0133i	0.0722766	−	1.12869i
$756$	22.1009	−	8.32063i	0.803801	−	0.302618i
$757$	30.0652	+	33.3908i	1.09274	+	1.21361i	0.975383	+	0.220518i	$0.0707746\pi$
$757$	30.0652	+	33.3908i	1.09274	+	1.21361i	0.117354	+	0.993090i	$0.462559\pi$
$758$	0.981172	−	9.33523i	0.0356378	−	0.339071i
$759$	−0.142468	+	0.278130i	−0.00517127	+	0.0100955i
$760$	−13.1927	−	6.91574i	−0.478549	−	0.250860i
$761$	−3.11100	+	29.5991i	−0.112774	+	1.07297i	0.781025	+	0.624500i	$0.214697\pi$
$761$	−3.11100	+	29.5991i	−0.112774	+	1.07297i	−0.893799	+	0.448469i	$0.851970\pi$
$762$	8.11000	−	5.24195i	0.293794	−	0.189896i
$763$	−21.1179	−	19.0146i	−0.764518	−	0.688375i
$764$	23.6054	−	2.48102i	0.854012	−	0.0897603i
$765$	−1.35972	−	1.13732i	−0.0491609	−	0.0411199i
$766$	9.93305	+	22.3100i	0.358896	+	0.806093i
$767$	−0.562921	+	0.774794i	−0.0203259	+	0.0279762i
$768$	−0.946462	+	1.45059i	−0.0341525	+	0.0523436i
$769$	3.35583	+	5.81246i	0.121014	+	0.209603i	0.920168	−	0.391524i	$-0.128052\pi$
$769$	3.35583	+	5.81246i	0.121014	+	0.209603i	−0.799154	+	0.601127i	$0.794719\pi$
$770$	0.470669	−	0.567650i	0.0169617	−	0.0204567i
$771$	−8.19856	−	16.1764i	−0.295264	−	0.582580i
$772$	−0.539594	−	2.53859i	−0.0194204	−	0.0913659i
$773$	−33.8645	+	11.0032i	−1.21802	+	0.395759i	−0.846361	−	0.532610i	$-0.821211\pi$
$773$	−33.8645	+	11.0032i	−1.21802	+	0.395759i	−0.371660	+	0.928369i	$0.621211\pi$
$774$	−0.194243	−	0.0640377i	−0.00698191	−	0.00230179i
$775$	14.3749	+	23.8403i	0.516362	+	0.856370i
$776$		−	2.50892i		−	0.0900649i
$777$	11.8888	+	76.1212i	0.426507	+	2.73083i
$778$	26.3933	−	5.61007i	0.946246	−	0.201131i
$779$	−23.4745	−	32.3099i	−0.841061	−	1.15762i
$780$	−0.474400	+	0.415494i	−0.0169862	+	0.0148771i
$781$	−0.504339	+	0.291180i	−0.0180467	+	0.0104193i
$782$	−0.600246	−	0.267247i	−0.0214648	−	0.00955672i
$783$	−35.4006	+	17.7509i	−1.26511	+	0.634366i
$784$	−12.4743	+	5.55394i	−0.445512	+	0.198355i
$785$	−20.1865	−	8.01850i	−0.720488	−	0.286192i
$786$	1.65663	−	30.3617i	0.0590900	−	1.08296i
$787$	24.0875	−	26.7519i	0.858628	−	0.953603i	−0.140708	−	0.990051i	$-0.544938\pi$
$787$	24.0875	−	26.7519i	0.858628	−	0.953603i	0.999336	+	0.0364482i	$0.0116044\pi$
$788$	−13.2645	+	11.9434i	−0.472528	+	0.425466i
$789$	1.74602	−	6.46066i	0.0621600	−	0.230006i
$790$	12.7686	−	24.3577i	0.454285	−	0.866609i
$791$	−75.8810	−	24.6552i	−2.69802	−	0.876639i
$792$	0.0893941	−	0.198482i	0.00317648	−	0.00705275i
$793$	1.51037	−	1.35994i	0.0536347	−	0.0482929i
$794$	1.37412	+	1.23726i	0.0487655	+	0.0439087i
$795$	14.0496	+	3.18866i	0.498287	+	0.113090i
$796$	−4.21557	+	19.8327i	−0.149417	+	0.702952i
$797$	−3.40411	−	7.64576i	−0.120580	−	0.270827i	0.843164	−	0.537657i	$-0.180690\pi$
$797$	−3.40411	−	7.64576i	−0.120580	−	0.270827i	−0.963744	+	0.266830i	$0.914024\pi$
$798$	−36.9990	−	37.1584i	−1.30975	−	1.31539i
$799$	0.685187	−	1.53896i	0.0242402	−	0.0544444i
$800$	−0.925936	−	4.91352i	−0.0327368	−	0.173719i
$801$	−2.26379	+	2.02077i	−0.0799869	+	0.0714004i
$802$	−9.42423	+	6.84710i	−0.332781	+	0.241780i
$803$	−0.729091	+	0.154973i	−0.0257291	+	0.00546888i
$804$	0.0637939	+	0.408459i	0.00224984	+	0.0144052i
$805$	−4.24176	+	24.9096i	−0.149503	+	0.877949i
$806$	−0.150932	+	0.893932i	−0.00531637	+	0.0314874i
$807$	−3.15687	+	19.6581i	−0.111127	+	0.691999i
$808$	9.08151	−	2.95076i	0.319486	−	0.103807i
$809$	36.5146	−	7.76141i	1.28378	−	0.272877i	0.485010	−	0.874509i	$-0.338816\pi$
$809$	36.5146	−	7.76141i	1.28378	−	0.272877i	0.798773	+	0.601632i	$0.205483\pi$
$810$	−3.54874	+	19.8093i	−0.124690	+	0.696026i
$811$	−6.41167	+	11.1053i	−0.225144	+	0.389961i	−0.956363	−	0.292182i	$-0.905619\pi$
$811$	−6.41167	+	11.1053i	−0.225144	+	0.389961i	0.731219	+	0.682143i	$0.238952\pi$
$812$	29.9967	−	17.3186i	1.05268	−	0.607765i
$813$	30.6431	+	19.9936i	1.07470	+	0.701206i
$814$	0.574553	+	0.417437i	0.0201381	+	0.0146312i
$815$	48.6053	−	12.4219i	1.70257	−	0.435120i
$816$	0.426947	+	0.164943i	0.0149461	+	0.00577417i
$817$	0.0474713	+	0.451660i	0.00166081	+	0.0158016i
$818$	11.3249	+	10.1970i	0.395967	+	0.356530i
$819$	−2.03197	+	0.894243i	−0.0710026	+	0.0312474i
$820$	3.61951	−	12.9080i	0.126399	−	0.450766i
$821$	5.47820	−	16.8602i	0.191190	−	0.588424i	−0.808809	−	0.588071i	$-0.799888\pi$
$821$	5.47820	−	16.8602i	0.191190	−	0.588424i	1.00000		0.000352973i	$-0.000112355\pi$
$822$	−7.79738	+	15.2223i	−0.271965	+	0.530937i
$823$	1.61946	−	15.4082i	0.0564510	−	0.537095i	−0.929353	−	0.369193i	$-0.879634\pi$
$823$	1.61946	−	15.4082i	0.0564510	−	0.537095i	0.985804	−	0.167902i	$-0.0536992\pi$
$824$	−0.609407	+	0.548712i	−0.0212297	+	0.0191153i
$825$	0.210270	+	0.592177i	0.00732065	+	0.0206169i
$826$	−2.79413	−	26.5844i	−0.0972203	−	0.924990i
$827$	−2.82703	+	13.3001i	−0.0983055	+	0.462491i	0.901267	+	0.433264i	$0.142638\pi$
$827$	−2.82703	+	13.3001i	−0.0983055	+	0.462491i	−0.999573	+	0.0292276i	$0.990695\pi$
$828$	0.747815	+	7.42174i	0.0259884	+	0.257923i
$829$	18.2768	−	25.1559i	0.634781	−	0.873701i	−0.363543	−	0.931578i	$-0.618433\pi$
$829$	18.2768	−	25.1559i	0.634781	−	0.873701i	0.998324	+	0.0578762i	$0.0184329\pi$
$830$	3.63361	+	2.42002i	0.126124	+	0.0840000i
$831$	−12.2874	+	4.68640i	−0.426244	+	0.162570i
$832$	0.0814136	−	0.141013i	0.00282251	−	0.00488873i
$833$	2.12093	+	2.91922i	0.0734860	+	0.101145i
$834$	0.0607757	−	0.00305415i	0.00210449	−	0.000105757i
$835$	5.23874	+	35.7528i	0.181294	+	1.23728i
$836$	−0.483364			−0.0167175
$837$	14.0468	+	25.2920i	0.485528	+	0.874221i
$838$			10.5984i			0.366115i
$839$	6.42585	−	2.08789i	0.221845	−	0.0720818i	−0.195986	−	0.980607i	$-0.562791\pi$
$839$	6.42585	−	2.08789i	0.221845	−	0.0720818i	0.417831	+	0.908525i	$0.362791\pi$
$840$	2.08019	−	17.4784i	0.0717735	−	0.603064i
$841$	−23.5303	+	17.0958i	−0.811390	+	0.589509i
$842$	−3.40100	+	5.89071i	−0.117206	+	0.203007i
$843$	−5.63753	−	14.7811i	−0.194167	−	0.509090i
$844$	−12.3672	−	5.50621i	−0.425695	−	0.189532i
$845$	−20.7492	+	20.2738i	−0.713795	+	0.697440i
$846$	−19.0284	+	1.91731i	−0.654211	+	0.0659183i
$847$	−10.3890	+	48.8765i	−0.356971	+	1.67942i
$848$	−3.69946	+	0.388829i	−0.127040	+	0.0133524i
$849$	−25.9781	+	20.9444i	−0.891567	+	0.718810i
$850$	−1.21917	+	0.509291i	−0.0418171	+	0.0174685i
$851$	−24.2024	−	2.54378i	−0.829649	−	0.0871996i
$852$	−6.33755	+	12.3723i	−0.217121	+	0.423869i
$853$	45.5703	+	14.8067i	1.56030	+	0.506972i	0.956887	−	0.290459i	$-0.0938080\pi$
$853$	45.5703	+	14.8067i	1.56030	+	0.506972i	0.603411	+	0.797431i	$0.293808\pi$
$854$	−5.92963	+	56.4166i	−0.202908	+	1.93054i
$855$	43.3420	−	10.8785i	1.48226	−	0.372037i
$856$	−9.67720	+	10.7476i	−0.330760	+	0.367346i
$857$	−2.71008	−	25.7846i	−0.0925744	−	0.880787i	−0.937986	−	0.346672i	$-0.887312\pi$
$857$	−2.71008	−	25.7846i	−0.0925744	−	0.880787i	0.845412	−	0.534115i	$-0.179355\pi$
$858$	−0.00737473	+	0.0190891i	−0.000251769	+	0.000651691i
$859$	20.0535	+	45.0409i	0.684216	+	1.53677i	0.836220	+	0.548395i	$0.184761\pi$
$859$	20.0535	+	45.0409i	0.684216	+	1.53677i	−0.152004	+	0.988380i	$0.548573\pi$
$860$	−0.109037	+	0.106539i	−0.00371813	+	0.00363293i
$861$	25.7884	−	39.5244i	0.878865	−	1.34699i
$862$	5.71079	−	3.29713i	0.194510	−	0.112301i
$863$	−22.3954	−	12.9300i	−0.762347	−	0.440141i	0.0677906	−	0.997700i	$-0.478405\pi$
$863$	−22.3954	−	12.9300i	−0.762347	−	0.440141i	−0.830138	+	0.557558i	$0.811738\pi$
$864$	−0.779749	−	5.13731i	−0.0265276	−	0.174775i
$865$	−0.0782199	−	1.91744i	−0.00265956	−	0.0651950i
$866$	12.3658	+	38.0579i	0.420205	+	1.29326i
$867$	−4.64951	+	28.9530i	−0.157906	+	0.983294i
$868$	−13.5648	−	21.3611i	−0.460420	−	0.725043i
$869$		−	0.892437i		−	0.0302739i
$870$	−0.405493	+	29.5146i	−0.0137475	+	1.00064i
$871$	−0.00808029	−	0.0380148i	−0.000273790	−	0.00128808i
$872$	−5.05851	+	3.67523i	−0.171303	+	0.124459i
$873$	5.01229	+	5.61507i	0.169640	+	0.190041i
$874$	14.3442	−	8.28165i	0.485201	−	0.280131i
$875$	30.5851	+	40.5760i	1.03397	+	1.37172i
$876$	−12.6081	+	12.5540i	−0.425988	+	0.424160i
$877$	1.09153	+	2.45161i	0.0368582	+	0.0827850i	0.931036	−	0.364926i	$-0.118906\pi$
$877$	1.09153	+	2.45161i	0.0368582	+	0.0827850i	−0.894178	+	0.447711i	$0.852239\pi$
$878$	−27.9082	−	5.93207i	−0.941857	−	0.200198i
$879$	20.5412	+	1.12079i	0.692838	+	0.0378035i
$880$	−0.100641	−	0.127268i	−0.00339259	−	0.00429022i
$881$	−6.02561	−	6.69211i	−0.203008	−	0.225463i	0.633041	−	0.774118i	$-0.281807\pi$
$881$	−6.02561	−	6.69211i	−0.203008	−	0.225463i	−0.836049	+	0.548655i	$0.815140\pi$
$882$	16.8225	−	37.3511i	0.566444	−	1.25768i
$883$	3.46808	−	10.6737i	0.116710	−	0.359197i	−0.875590	−	0.483056i	$-0.839527\pi$
$883$	3.46808	−	10.6737i	0.116710	−	0.359197i	0.992300	+	0.123858i	$0.0395269\pi$
$884$	−0.0409218	−	0.0132963i	−0.00137635	−	0.000447203i
$885$	20.6810	+	9.55032i	0.695184	+	0.321031i
$886$	−22.4602	−	24.9446i	−0.754566	−	0.838031i
$887$	−30.4226	+	33.7878i	−1.02149	+	1.13448i	−0.0306397	+	0.999530i	$0.509754\pi$
$887$	−30.4226	+	33.7878i	−1.02149	+	1.13448i	−0.990852	+	0.134951i	$0.956912\pi$
$888$	16.9271	+	0.923596i	0.568035	+	0.0309938i
$889$	5.26810	−	24.7845i	0.176687	−	0.831245i
$890$	0.560037	+	2.19136i	0.0187725	+	0.0734545i
$891$	0.196457	+	0.622802i	0.00658157	+	0.0208646i
$892$	5.48726	+	2.44308i	0.183727	+	0.0818005i
$893$	21.2331	+	36.7768i	0.710539	+	1.23069i
$894$	10.4563	−	12.8559i	0.349711	−	0.429964i
$895$	−12.1356	−	24.5157i	−0.405649	−	0.819471i
$896$	0.944909	+	4.44545i	0.0315672	+	0.148512i
$897$	−0.108209	−	0.692840i	−0.00361300	−	0.0231332i
$898$	−11.5299			−0.384759
$899$	26.3673	+	33.2476i	0.879399	+	1.10887i
$900$	11.8885	+	9.14683i	0.396282	+	0.304894i
$901$	0.303758	+	0.934870i	0.0101196	+	0.0311450i
$902$	−0.0904469	−	0.425519i	−0.00301155	−	0.0141682i
$903$	−0.478691	+	0.242611i	−0.0159298	+	0.00807358i
$904$	−8.77780	+	15.2036i	−0.291945	+	0.505664i
$905$	−15.3076	−	41.3019i	−0.508841	−	1.37292i
$906$	−20.1603	−	13.1539i	−0.669781	−	0.437010i
$907$	21.8578	−	30.0847i	0.725777	−	0.998947i	−0.273535	−	0.961862i	$-0.588193\pi$
$907$	21.8578	−	30.0847i	0.725777	−	0.998947i	0.999312	−	0.0370846i	$-0.0118071\pi$
$908$	1.53400	−	0.682982i	0.0509077	−	0.0226656i
$909$	−14.4298	+	24.7469i	−0.478607	+	0.820802i
$910$	−0.105744	+	1.65133i	−0.00350539	+	0.0547412i
$911$	−1.53268	+	1.70221i	−0.0507799	+	0.0563968i	−0.768000	−	0.640450i	$-0.778748\pi$
$911$	−1.53268	+	1.70221i	−0.0507799	+	0.0563968i	0.717220	+	0.696847i	$0.245414\pi$
$912$	−9.69003	+	6.26321i	−0.320869	+	0.207396i
$913$	0.140894	+	0.0148085i	0.00466290	+	0.000490090i
$914$	7.10091	−	21.8544i	0.234877	−	0.722878i
$915$	−38.7157	−	28.9495i	−1.27990	−	0.957040i
$916$	−1.04937	−	0.110293i	−0.0346721	−	0.00364418i
$917$	−53.3866	−	59.2919i	−1.76298	−	1.95799i
$918$	−1.28505	+	0.483800i	−0.0424129	+	0.0159678i
$919$	4.97975	+	47.3791i	0.164267	+	1.56289i	0.697288	+	0.716791i	$0.254390\pi$
$919$	4.97975	+	47.3791i	0.164267	+	1.56289i	−0.533021	+	0.846102i	$0.678943\pi$
$920$	5.16713	+	2.05249i	0.170355	+	0.0676685i
$921$	−34.1984	+	9.08471i	−1.12688	+	0.299351i
$922$	−13.6546	−	9.92068i	−0.449692	−	0.326720i
$923$	0.531529	−	1.19383i	0.0174955	−	0.0392955i
$924$	−0.203548	−	0.533687i	−0.00669624	−	0.0175570i
$925$	−37.1163	+	31.8936i	−1.22038	+	1.04865i
$926$	−8.29509	+	6.02674i	−0.272594	+	0.198051i
$927$	0.267666	−	2.44551i	0.00879132	−	0.0803210i
$928$	−2.35513	−	7.24834i	−0.0773109	−	0.237938i
$929$	13.7473			0.451034			0.225517	−	0.974239i	$-0.427593\pi$
$929$	13.7473			0.451034			0.225517	+	0.974239i	$0.427593\pi$
$930$	21.5551	−	0.613153i	0.706821	−	0.0201061i
$931$	−90.9612			−2.98113
$932$	−4.38679	−	13.5012i	−0.143694	−	0.442245i
$933$	36.8466	−	1.85165i	1.20630	−	0.0606202i
$934$	10.2630	−	7.45651i	0.335816	−	0.243984i
$935$	−0.0273669	+	0.0330058i	−0.000894993	+	0.00107940i
$936$	0.0995063	+	0.478240i	0.00325246	+	0.0156317i
$937$	2.86008	−	6.42384i	0.0934346	−	0.209858i	−0.860782	−	0.508974i	$-0.830025\pi$
$937$	2.86008	−	6.42384i	0.0934346	−	0.209858i	0.954217	+	0.299116i	$0.0966917\pi$
$938$	0.877586	+	0.637604i	0.0286542	+	0.0208185i
$939$	−10.1575	−	38.2368i	−0.331477	−	1.24781i
$940$	−5.26233	+	13.2479i	−0.171638	+	0.432098i
$941$	−2.95027	−	28.0700i	−0.0961762	−	0.915055i	−0.931118	−	0.364717i	$-0.881166\pi$
$941$	−2.95027	−	28.0700i	−0.0961762	−	0.915055i	0.834942	−	0.550338i	$-0.185501\pi$
$942$	−13.0981	+	10.5601i	−0.426759	+	0.344066i
$943$	9.97466	+	11.0780i	0.324820	+	0.360749i
$944$	−5.84946	−	0.614803i	−0.190384	−	0.0200101i
$945$	30.2627	+	43.2733i	0.984445	+	1.40768i
$946$	−0.00152868	+	0.00470479i	−4.97016e−5	+	0.000152966i
$947$	54.9658	+	5.77714i	1.78615	+	0.187732i	0.939067	−	0.343733i	$-0.111692\pi$
$947$	54.9658	+	5.77714i	1.78615	+	0.187732i	0.847080	+	0.531465i	$0.178358\pi$
$948$	−11.5638	−	17.8908i	−0.375575	−	0.581065i
$949$	1.11921	−	1.24300i	0.0363310	−	0.0403496i
$950$	7.67813	−	32.4102i	0.249112	−	1.05152i
$951$	−16.5186	+	42.7575i	−0.535653	+	1.38651i
$952$	1.09714	−	0.488479i	0.0355585	−	0.0158317i
$953$	22.4527	−	30.9034i	0.727313	−	1.00106i	−0.271936	−	0.962315i	$-0.587664\pi$
$953$	22.4527	−	30.9034i	0.727313	−	1.00106i	0.999249	−	0.0387449i	$-0.0123360\pi$
$954$	7.50275	−	8.26096i	0.242911	−	0.267459i
$955$	18.4445	+	49.7659i	0.596851	+	1.61039i
$956$	9.20705	−	15.9471i	0.297777	−	0.515766i
$957$	0.433020	+	0.854385i	0.0139976	+	0.0276183i
$958$	−3.54185	−	16.6631i	−0.114432	−	0.538360i
$959$	13.8678	+	42.6807i	0.447815	+	1.37823i
$960$	−3.66664	−	1.24731i	−0.118340	−	0.0402566i
$961$	23.4552	−	20.2696i	0.756618	−	0.653857i
$962$	−1.59365			−0.0513815
$963$	0.186503	−	43.3867i	0.00600996	−	1.39812i
$964$	−2.28846	−	10.7664i	−0.0737064	−	0.346761i
$965$	5.20094	−	2.57454i	0.167424	−	0.0828773i
$966$	15.1843	+	12.3501i	0.488547	+	0.397359i
$967$	7.50929	+	13.0065i	0.241483	+	0.418260i	0.961137	−	0.276072i	$-0.0890330\pi$
$967$	7.50929	+	13.0065i	0.241483	+	0.418260i	−0.719654	+	0.694333i	$0.755700\pi$
$968$	10.0442	+	4.47196i	0.322832	+	0.143734i
$969$	2.15129	+	2.16056i	0.0691095	+	0.0694072i
$970$	5.43541	−	1.38911i	0.174521	−	0.0446016i
$971$	−2.37945	+	11.1944i	−0.0763603	+	0.359247i	−0.999694	−	0.0247526i	$-0.992120\pi$
$971$	−2.37945	+	11.1944i	−0.0763603	+	0.359247i	0.923333	+	0.383999i	$0.125454\pi$
$972$	12.0084	+	9.93975i	0.385169	+	0.318818i
$973$	0.106841	−	0.118659i	0.00342517	−	0.00380404i
$974$	−15.8372	−	17.5890i	−0.507457	−	0.563588i
$975$	−1.16280	−	0.797712i	−0.0372395	−	0.0255472i
$976$	11.8710	+	3.85713i	0.379982	+	0.123464i
$977$	−6.00045	+	18.4675i	−0.191971	+	0.590827i	0.808027	+	0.589145i	$0.200535\pi$
$977$	−6.00045	+	18.4675i	−0.191971	+	0.590827i	−0.999999	+	0.00168183i	$0.999465\pi$
$978$	10.1383	−	37.5138i	0.324186	−	1.19956i
$979$	0.0491115	+	0.0545439i	0.00156961	+	0.00174323i
$980$	−18.9389	−	23.9499i	−0.604982	−	0.765050i
$981$	3.97884	−	18.3312i	0.127035	−	0.585269i
$982$	−24.6859	−	5.24714i	−0.787757	−	0.167443i
$983$	−8.55956	−	19.2251i	−0.273007	−	0.613185i	0.724058	−	0.689739i	$-0.242275\pi$
$983$	−8.55956	−	19.2251i	−0.273007	−	0.613185i	−0.997065	+	0.0765544i	$0.975608\pi$
$984$	−7.32688	−	7.35845i	−0.233573	−	0.234579i
$985$	−33.2187	−	22.1240i	−1.05844	−	0.704929i
$986$	−1.74415	+	1.00699i	−0.0555450	+	0.0320689i
$987$	−31.6642	+	38.9307i	−1.00788	+	1.23918i
$988$	0.877513	−	0.637550i	0.0279174	−	0.0202832i
$989$	−0.0352440	−	0.165810i	−0.00112069	−	0.00527245i
$990$	0.479493	+	0.0837735i	0.0152393	+	0.00266250i
$991$		−	20.4524i		−	0.649692i	−0.945767	−	0.324846i	$-0.894688\pi$
$991$		−	20.4524i		−	0.649692i	0.945767	−	0.324846i	$-0.105312\pi$
$992$	−5.21801	+	1.94227i	−0.165672	+	0.0616671i
$993$	−17.4403	−	2.80071i	−0.553451	−	0.0888778i
$994$	11.2715	+	34.6900i	0.357509	+	1.10030i
$995$	−45.3004	+	1.84798i	−1.43612	+	0.0585849i
$996$	3.01639	−	1.52877i	0.0955780	−	0.0484409i
$997$	1.82622	+	1.05437i	0.0578370	+	0.0333922i	0.528640	−	0.848846i	$-0.322702\pi$
$997$	1.82622	+	1.05437i	0.0578370	+	0.0333922i	−0.470803	+	0.882239i	$0.656036\pi$
$998$	2.39768	−	1.38430i	0.0758973	−	0.0438193i
$999$	−39.7287	+	31.7497i	−1.25696	+	1.00452i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.17	yes	256
3.2	odd	2		930.2.bo.a.179.21	yes	256
5.4	even	2		930.2.bo.a.179.16	✓	256
15.14	odd	2	inner	930.2.bo.b.179.12	yes	256
31.22	odd	30	inner	930.2.bo.b.239.12	yes	256
93.53	even	30		930.2.bo.a.239.16	yes	256
155.84	odd	30		930.2.bo.a.239.21	yes	256
465.239	even	30	inner	930.2.bo.b.239.17	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.16	✓	256	5.4	even	2
930.2.bo.a.179.21	yes	256	3.2	odd	2
930.2.bo.a.239.16	yes	256	93.53	even	30
930.2.bo.a.239.21	yes	256	155.84	odd	30
930.2.bo.b.179.12	yes	256	15.14	odd	2	inner
930.2.bo.b.179.17	yes	256	1.1	even	1	trivial
930.2.bo.b.239.12	yes	256	31.22	odd	30	inner
930.2.bo.b.239.17	yes	256	465.239	even	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.0869307 - 1.72987i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.72133 - 1.42725i) q^{5} +(-1.61834 + 0.617235i) q^{6} +(-1.84852 + 4.15185i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.98489 + 0.300757i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.0869307 - 1.72987i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.72133 - 1.42725i) q^{5} +(-1.61834 + 0.617235i) q^{6} +(-1.84852 + 4.15185i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.98489 + 0.300757i) q^{9} +(-0.825472 + 2.07812i) q^{10} +(0.00758473 + 0.0721639i) q^{11} +(1.08712 + 1.34840i) q^{12} +(-0.108953 - 0.121004i) q^{13} +(4.51987 + 0.475057i) q^{14} +(-2.31931 + 3.10174i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.262806 - 0.0276220i) q^{17} +(1.20842 + 2.74586i) q^{18} +(4.45738 - 4.95042i) q^{19} +(2.23150 + 0.142896i) q^{20} +(7.34284 + 2.83678i) q^{21} +(0.0662881 - 0.0295134i) q^{22} +(-1.46149 + 2.01157i) q^{23} +(0.946462 - 1.45059i) q^{24} +(0.925936 + 4.91352i) q^{25} +(-0.0814136 + 0.141013i) q^{26} +(0.779749 + 5.13731i) q^{27} +(-0.944909 - 4.44545i) q^{28} +(2.35513 + 7.24834i) q^{29} +(3.66664 + 1.24731i) q^{30} +(5.21801 - 1.94227i) q^{31} -1.00000 q^{32} +(0.124175 - 0.0193938i) q^{33} +(0.0549414 + 0.258479i) q^{34} +(9.10762 - 4.50839i) q^{35} +(2.23804 - 1.99779i) q^{36} +(4.89369 + 8.47613i) q^{37} +(-6.08553 - 2.70945i) q^{38} +(-0.199850 + 0.198993i) q^{39} +(-0.553669 - 2.16644i) q^{40} +(1.24649 - 5.86426i) q^{41} +(0.428871 - 7.86007i) q^{42} +(-0.0456183 + 0.0506643i) q^{43} +(-0.0485530 - 0.0539236i) q^{44} +(5.56722 + 3.74247i) q^{45} +(2.36475 + 0.768352i) q^{46} +(-1.96996 + 6.06292i) q^{47} +(-1.67207 - 0.451883i) q^{48} +(-9.13689 - 10.1475i) q^{49} +(4.38690 - 2.39898i) q^{50} +(-0.0249365 + 0.457021i) q^{51} +(0.159269 + 0.0338537i) q^{52} +(-1.51299 - 3.39824i) q^{53} +(4.64492 - 2.32910i) q^{54} +(0.0899398 - 0.135043i) q^{55} +(-3.93588 + 2.27238i) q^{56} +(-8.95106 - 7.28033i) q^{57} +(6.16581 - 4.47972i) q^{58} +(-1.22287 - 5.75315i) q^{59} +(0.0532048 - 3.87262i) q^{60} +12.4819i q^{61} +(-3.45966 - 4.36242i) q^{62} +(4.26893 - 12.9488i) q^{63} +(0.309017 + 0.951057i) q^{64} +(0.0148404 + 0.363790i) q^{65} +(-0.0568167 - 0.112104i) q^{66} +(0.206705 + 0.119341i) q^{67} +(0.228850 - 0.132127i) q^{68} +(3.60680 + 2.35332i) q^{69} +(-7.10215 - 7.26869i) q^{70} +(3.26437 + 7.33191i) q^{71} +(-2.59160 - 1.51115i) q^{72} +(1.07376 + 10.2161i) q^{73} +(6.54904 - 7.27345i) q^{74} +(8.41924 - 2.02888i) q^{75} +(-0.696311 + 6.62495i) q^{76} +(-0.313634 - 0.101906i) q^{77} +(0.251010 + 0.128577i) q^{78} +(-12.2317 - 1.28560i) q^{79} +(-1.88931 + 1.19604i) q^{80} +(8.81909 - 1.79545i) q^{81} +(-5.96243 + 0.626677i) q^{82} +(0.405929 - 1.90975i) q^{83} +(-7.60790 + 2.02101i) q^{84} +(0.412952 + 0.422635i) q^{85} +(0.0622814 + 0.0277295i) q^{86} +(12.3339 - 4.70416i) q^{87} +(-0.0362807 + 0.0628400i) q^{88} +(0.818323 - 0.594546i) q^{89} +(1.83893 - 6.45123i) q^{90} +(0.703793 - 0.228676i) q^{91} -2.48644i q^{92} +(-3.81348 - 8.85762i) q^{93} +6.37493 q^{94} +(-14.7381 + 2.15952i) q^{95} +(0.0869307 + 1.72987i) q^{96} +(-1.47470 - 2.02976i) q^{97} +(-6.82744 + 11.8255i) q^{98} +(-0.0443434 - 0.213120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Introduction

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