LMFDB - Embedded newform 930.2.bo.b.239.11

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			239.11
Character	$\chi$	$=$	930.239
Dual form			930.2.bo.b.179.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 + 0.951057i) q^{2} +(-0.955557 - 1.44461i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.43804 + 1.71232i) q^{5} +(1.66919 - 0.462379i) q^{6} +(0.429946 + 0.965674i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.17382 + 2.76082i) q^{9} +O(q^{10})$	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.955557 - 1.44461i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.43804 + 1.71232i) q^{5} +(1.66919 - 0.462379i) q^{6} +(0.429946 + 0.965674i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.17382 + 2.76082i) q^{9} +(-1.18414 - 1.89679i) q^{10} +(0.584057 - 5.55693i) q^{11} +(-0.0760609 + 1.73038i) q^{12} +(-2.93994 + 3.26513i) q^{13} +(-1.05127 + 0.110493i) q^{14} +(3.84777 + 0.441189i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.0324214 - 0.00340762i) q^{17} +(-2.26297 - 1.96951i) q^{18} +(1.05030 + 1.16647i) q^{19} +(2.16987 - 0.540040i) q^{20} +(0.984189 - 1.54386i) q^{21} +(5.10447 + 2.27266i) q^{22} +(0.578782 + 0.796625i) q^{23} +(-1.62219 - 0.607055i) q^{24} +(-0.864091 - 4.92477i) q^{25} +(-2.19684 - 3.80503i) q^{26} +(5.10998 - 0.942407i) q^{27} +(0.219776 - 1.03396i) q^{28} +(1.00735 - 3.10030i) q^{29} +(-1.60862 + 3.52311i) q^{30} +(3.07211 - 4.64350i) q^{31} -1.00000 q^{32} +(-8.58573 + 4.46623i) q^{33} +(-0.00677791 + 0.0318876i) q^{34} +(-2.27182 - 0.652471i) q^{35} +(2.57241 - 1.54360i) q^{36} +(-1.42036 + 2.46013i) q^{37} +(-1.43394 + 0.638432i) q^{38} +(7.52614 + 1.12706i) q^{39} +(-0.156920 + 2.23056i) q^{40} +(-1.80242 - 8.47972i) q^{41} +(1.16417 + 1.41310i) q^{42} +(5.69234 + 6.32198i) q^{43} +(-3.73880 + 4.15235i) q^{44} +(-3.03942 - 5.98013i) q^{45} +(-0.936489 + 0.304284i) q^{46} +(-3.53808 - 10.8891i) q^{47} +(1.07863 - 1.35520i) q^{48} +(3.93624 - 4.37164i) q^{49} +(4.95075 + 0.700037i) q^{50} +(-0.0359032 - 0.0435802i) q^{51} +(4.29766 - 0.913495i) q^{52} +(1.08215 - 2.43056i) q^{53} +(-0.682788 + 5.15110i) q^{54} +(8.67536 + 8.99118i) q^{55} +(0.915443 + 0.528531i) q^{56} +(0.681485 - 2.63191i) q^{57} +(2.63727 + 1.91609i) q^{58} +(1.84893 - 8.69853i) q^{59} +(-2.85359 - 2.61859i) q^{60} -0.250467i q^{61} +(3.46690 + 4.35667i) q^{62} +(-3.17074 + 0.0534763i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-1.36321 - 9.72951i) q^{65} +(-1.59450 - 9.54565i) q^{66} +(5.05661 - 2.91944i) q^{67} +(-0.0282324 - 0.0163000i) q^{68} +(0.597756 - 1.59734i) q^{69} +(1.32257 - 1.95901i) q^{70} +(1.96994 - 4.42456i) q^{71} +(0.673130 + 2.92351i) q^{72} +(0.618634 - 5.88591i) q^{73} +(-1.90081 - 2.11106i) q^{74} +(-6.28870 + 5.95418i) q^{75} +(-0.164073 - 1.56105i) q^{76} +(5.61730 - 1.82517i) q^{77} +(-3.39760 + 6.80950i) q^{78} +(1.25402 - 0.131803i) q^{79} +(-2.07289 - 0.838519i) q^{80} +(-6.24429 - 6.48142i) q^{81} +(8.62167 + 0.906174i) q^{82} +(-1.73950 - 8.18370i) q^{83} +(-1.70369 + 0.670520i) q^{84} +(-0.0407882 + 0.0604161i) q^{85} +(-7.77159 + 3.46013i) q^{86} +(-5.44131 + 1.50728i) q^{87} +(-2.79377 - 4.83895i) q^{88} +(-3.24086 - 2.35462i) q^{89} +(6.62667 - 1.04270i) q^{90} +(-4.41707 - 1.43519i) q^{91} -0.984682i q^{92} +(-9.64365 - 0.000879429i) q^{93} +11.4495 q^{94} +(-3.50775 + 0.121014i) q^{95} +(0.955557 + 1.44461i) q^{96} +(3.22614 - 4.44041i) q^{97} +(2.94131 + 5.09450i) q^{98} +(14.6561 + 8.13532i) 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 $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{17}{30}\right)$

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
$3$	−0.955557	−	1.44461i	−0.551691	−	0.834048i
$3$	−0.955557	−	1.44461i	−0.551691	−	0.834048i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−1.43804	+	1.71232i	−0.643110	+	0.765774i
$5$	−1.43804	+	1.71232i	−0.643110	+	0.765774i
$6$	1.66919	−	0.462379i	0.681445	−	0.188765i
$7$	0.429946	+	0.965674i	0.162504	+	0.364991i	0.976384	−	0.216043i	$-0.0693151\pi$
$7$	0.429946	+	0.965674i	0.162504	+	0.364991i	−0.813880	+	0.581034i	$0.802648\pi$
$8$	0.809017	−	0.587785i	0.286031	−	0.207813i
$9$	−1.17382	+	2.76082i	−0.391274	+	0.920274i
$10$	−1.18414	−	1.89679i	−0.374457	−	0.599818i
$11$	0.584057	−	5.55693i	0.176100	−	1.67548i	−0.447923	−	0.894072i	$-0.647836\pi$
$11$	0.584057	−	5.55693i	0.176100	−	1.67548i	0.624023	−	0.781406i	$-0.285497\pi$
$12$	−0.0760609	+	1.73038i	−0.0219569	+	0.499518i
$13$	−2.93994	+	3.26513i	−0.815392	+	0.905585i	−0.996970	−	0.0777917i	$-0.975213\pi$
$13$	−2.93994	+	3.26513i	−0.815392	+	0.905585i	0.181577	+	0.983377i	$0.441880\pi$
$14$	−1.05127	+	0.110493i	−0.280964	+	0.0295305i
$15$	3.84777	+	0.441189i	0.993491	+	0.113915i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	0.0324214	−	0.00340762i	0.00786334	−	0.000826470i	−0.100596	−	0.994927i	$-0.532075\pi$
$17$	0.0324214	−	0.00340762i	0.00786334	−	0.000826470i	0.108459	+	0.994101i	$0.465408\pi$
$18$	−2.26297	−	1.96951i	−0.533387	−	0.464218i
$19$	1.05030	+	1.16647i	0.240955	+	0.267607i	0.851477	−	0.524392i	$-0.175707\pi$
$19$	1.05030	+	1.16647i	0.240955	+	0.267607i	−0.610523	+	0.791999i	$0.709041\pi$
$20$	2.16987	−	0.540040i	0.485199	−	0.120757i
$21$	0.984189	−	1.54386i	0.214768	−	0.336899i
$22$	5.10447	+	2.27266i	1.08828	+	0.484532i
$23$	0.578782	+	0.796625i	0.120684	+	0.166108i	0.865085	−	0.501626i	$-0.167265\pi$
$23$	0.578782	+	0.796625i	0.120684	+	0.166108i	−0.744400	+	0.667734i	$0.767265\pi$
$24$	−1.62219	−	0.607055i	−0.331127	−	0.123915i
$25$	−0.864091	−	4.92477i	−0.172818	−	0.984954i
$26$	−2.19684	−	3.80503i	−0.430835	−	0.746228i
$27$	5.10998	−	0.942407i	0.983416	−	0.181366i
$28$	0.219776	−	1.03396i	0.0415337	−	0.195401i
$29$	1.00735	−	3.10030i	0.187060	−	0.575711i	−0.812918	−	0.582378i	$-0.802122\pi$
$29$	1.00735	−	3.10030i	0.187060	−	0.575711i	0.999978	+	0.00666727i	$0.00212227\pi$
$30$	−1.60862	+	3.52311i	−0.293693	+	0.643230i
$31$	3.07211	−	4.64350i	0.551767	−	0.833998i
$31$	3.07211	−	4.64350i	0.551767	−	0.833998i
$32$	−1.00000			−0.176777
$33$	−8.58573	+	4.46623i	−1.49458	+	0.777471i
$34$	−0.00677791	+	0.0318876i	−0.00116240	+	0.00546867i
$35$	−2.27182	−	0.652471i	−0.384008	−	0.110288i
$36$	2.57241	−	1.54360i	0.428735	−	0.257266i
$37$	−1.42036	+	2.46013i	−0.233505	+	0.404443i	−0.958837	−	0.283956i	$-0.908353\pi$
$37$	−1.42036	+	2.46013i	−0.233505	+	0.404443i	0.725332	+	0.688399i	$0.241686\pi$
$38$	−1.43394	+	0.638432i	−0.232616	+	0.103567i
$39$	7.52614	+	1.12706i	1.20515	+	0.180473i
$40$	−0.156920	+	2.23056i	−0.0248112	+	0.352682i
$41$	−1.80242	−	8.47972i	−0.281491	−	1.32431i	−0.860693	−	0.509125i	$-0.829969\pi$
$41$	−1.80242	−	8.47972i	−0.281491	−	1.32431i	0.579202	−	0.815184i	$-0.303364\pi$
$42$	1.16417	+	1.41310i	0.179635	+	0.218046i
$43$	5.69234	+	6.32198i	0.868073	+	0.964093i	0.999630	−	0.0272157i	$-0.00866409\pi$
$43$	5.69234	+	6.32198i	0.868073	+	0.964093i	−0.131556	+	0.991309i	$0.541997\pi$
$44$	−3.73880	+	4.15235i	−0.563645	+	0.625991i
$45$	−3.03942	−	5.98013i	−0.453090	−	0.891465i
$46$	−0.936489	+	0.304284i	−0.138078	+	0.0448642i
$47$	−3.53808	−	10.8891i	−0.516082	−	1.58834i	−0.781305	−	0.624149i	$-0.785446\pi$
$47$	−3.53808	−	10.8891i	−0.516082	−	1.58834i	0.265223	−	0.964187i	$-0.414554\pi$
$48$	1.07863	−	1.35520i	0.155686	−	0.195606i
$49$	3.93624	−	4.37164i	0.562320	−	0.624520i
$50$	4.95075	+	0.700037i	0.700142	+	0.0990002i
$51$	−0.0359032	−	0.0435802i	−0.00502745	−	0.00610245i
$52$	4.29766	−	0.913495i	0.595978	−	0.126679i
$53$	1.08215	−	2.43056i	0.148645	−	0.333863i	−0.823842	−	0.566820i	$-0.808174\pi$
$53$	1.08215	−	2.43056i	0.148645	−	0.333863i	0.972487	+	0.232957i	$0.0748402\pi$
$54$	−0.682788	+	5.15110i	−0.0929156	+	0.700976i
$55$	8.67536	+	8.99118i	1.16979	+	1.21237i
$56$	0.915443	+	0.528531i	0.122331	+	0.0706279i
$57$	0.681485	−	2.63191i	0.0902648	−	0.348604i
$58$	2.63727	+	1.91609i	0.346291	+	0.251595i
$59$	1.84893	−	8.69853i	0.240710	−	1.13245i	−0.677242	−	0.735760i	$-0.736825\pi$
$59$	1.84893	−	8.69853i	0.240710	−	1.13245i	0.917952	−	0.396691i	$-0.129842\pi$
$60$	−2.85359	−	2.61859i	−0.368397	−	0.338059i
$61$		−	0.250467i		−	0.0320690i	−0.999871	−	0.0160345i	$-0.994896\pi$
$61$		−	0.250467i		−	0.0320690i	0.999871	−	0.0160345i	$-0.00510417\pi$
$62$	3.46690	+	4.35667i	0.440297	+	0.553298i
$63$	−3.17074	+	0.0534763i	−0.399475	+	0.00673738i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−1.36321	−	9.72951i	−0.169086	−	1.20680i
$66$	−1.59450	−	9.54565i	−0.196270	−	1.17499i
$67$	5.05661	−	2.91944i	0.617764	−	0.356666i	−0.158234	−	0.987402i	$-0.550580\pi$
$67$	5.05661	−	2.91944i	0.617764	−	0.356666i	0.775998	+	0.630736i	$0.217247\pi$
$68$	−0.0282324	−	0.0163000i	−0.00342368	−	0.00197666i
$69$	0.597756	−	1.59734i	0.0719614	−	0.192297i
$70$	1.32257	−	1.95901i	0.158077	−	0.234146i
$71$	1.96994	−	4.42456i	0.233789	−	0.525098i	−0.758110	−	0.652126i	$-0.773877\pi$
$71$	1.96994	−	4.42456i	0.233789	−	0.525098i	0.991899	+	0.127028i	$0.0405439\pi$
$72$	0.673130	+	2.92351i	0.0793292	+	0.344539i
$73$	0.618634	−	5.88591i	0.0724056	−	0.688893i	−0.896766	−	0.442506i	$-0.854090\pi$
$73$	0.618634	−	5.88591i	0.0724056	−	0.688893i	0.969171	−	0.246388i	$-0.0792436\pi$
$74$	−1.90081	−	2.11106i	−0.220965	−	0.245406i
$75$	−6.28870	+	5.95418i	−0.726157	+	0.687529i
$76$	−0.164073	−	1.56105i	−0.0188204	−	0.179064i
$77$	5.61730	−	1.82517i	0.640151	−	0.207998i
$78$	−3.39760	+	6.80950i	−0.384702	+	0.771024i
$79$	1.25402	−	0.131803i	0.141088	−	0.0148290i	−0.0337210	−	0.999431i	$-0.510736\pi$
$79$	1.25402	−	0.131803i	0.141088	−	0.0148290i	0.174809	+	0.984602i	$0.444069\pi$
$80$	−2.07289	−	0.838519i	−0.231756	−	0.0937493i
$81$	−6.24429	−	6.48142i	−0.693810	−	0.720158i
$82$	8.62167	+	0.906174i	0.952104	+	0.100070i
$83$	−1.73950	−	8.18370i	−0.190935	−	0.898277i	−0.964402	−	0.264441i	$-0.914813\pi$
$83$	−1.73950	−	8.18370i	−0.190935	−	0.898277i	0.773467	−	0.633836i	$-0.218521\pi$
$84$	−1.70369	+	0.670520i	−0.185887	+	0.0731597i
$85$	−0.0407882	+	0.0604161i	−0.00442410	+	0.00655305i
$86$	−7.77159	+	3.46013i	−0.838032	+	0.373116i
$87$	−5.44131	+	1.50728i	−0.583370	+	0.161598i
$88$	−2.79377	−	4.83895i	−0.297817	−	0.515834i
$89$	−3.24086	−	2.35462i	−0.343531	−	0.249590i	0.402619	−	0.915368i	$-0.368100\pi$
$89$	−3.24086	−	2.35462i	−0.343531	−	0.249590i	−0.746150	+	0.665778i	$0.768100\pi$
$90$	6.62667	−	1.04270i	0.698513	−	0.109910i
$91$	−4.41707	−	1.43519i	−0.463035	−	0.150449i
$92$		−	0.984682i		−	0.102660i
$93$	−9.64365		0.000879429i	−1.00000		9.11925e-5i
$94$	11.4495			1.18092
$95$	−3.50775	+	0.121014i	−0.359887	+	0.0124157i
$96$	0.955557	+	1.44461i	0.0975262	+	0.147440i
$97$	3.22614	−	4.44041i	0.327565	−	0.450855i	−0.613193	−	0.789933i	$-0.710115\pi$
$97$	3.22614	−	4.44041i	0.327565	−	0.450855i	0.940758	+	0.339078i	$0.110115\pi$
$98$	2.94131	+	5.09450i	0.297117	+	0.514622i
$99$	14.6561	+	8.13532i	1.47300	+	0.817631i
$100$	−2.19564	+	4.49212i	−0.219564	+	0.449212i
$101$	7.01075	+	9.64948i	0.697596	+	0.960159i	0.999976	+	0.00697110i	$0.00221899\pi$
$101$	7.01075	+	9.64948i	0.697596	+	0.960159i	−0.302380	+	0.953188i	$0.597781\pi$
$102$	0.0525419	−	0.0206789i	0.00520243	−	0.00204752i
$103$	−2.89831	−	13.6355i	−0.285579	−	1.34354i	−0.853771	−	0.520648i	$-0.825690\pi$
$103$	−2.89831	−	13.6355i	−0.285579	−	1.34354i	0.568192	−	0.822896i	$-0.307643\pi$
$104$	−0.459264	+	4.36960i	−0.0450345	+	0.428475i
$105$	1.22829	+	3.90538i	0.119869	+	0.381126i
$106$	1.97719	+	1.78027i	0.192042	+	0.172915i
$107$	1.89383	+	18.0186i	0.183083	+	1.74192i	0.571647	+	0.820500i	$0.306305\pi$
$107$	1.89383	+	18.0186i	0.183083	+	1.74192i	−0.388564	+	0.921422i	$0.627029\pi$
$108$	−4.68799	−	2.24115i	−0.451102	−	0.215654i
$109$	3.70649	+	11.4074i	0.355017	+	1.09263i	0.956000	+	0.293368i	$0.0947761\pi$
$109$	3.70649	+	11.4074i	0.355017	+	1.09263i	−0.600982	+	0.799262i	$0.705224\pi$
$110$	−11.2320	+	5.47233i	−1.07092	+	0.521766i
$111$	4.91118	−	0.298928i	0.466148	−	0.0283730i
$112$	−0.785550	+	0.707313i	−0.0742275	+	0.0668348i
$113$	0.172416	−	1.64043i	0.0162196	−	0.154319i	−0.983414	−	0.181373i	$-0.941946\pi$
$113$	0.172416	−	1.64043i	0.0162196	−	0.154319i	0.999634	+	0.0270539i	$0.00861257\pi$
$114$	2.29250	+	1.46143i	0.214712	+	0.136876i
$115$	−2.19639	−	0.154516i	−0.204814	−	0.0144087i
$116$	−2.63727	+	1.91609i	−0.244865	+	0.177904i
$117$	−5.56349	−	11.9493i	−0.514345	−	1.10472i
$118$	7.70144	+	4.44643i	0.708975	+	0.409327i
$119$	0.0172301	+	0.0298434i	0.00157948	+	0.00273574i
$120$	3.37224	−	1.90473i	0.307842	−	0.173878i
$121$	−19.7788	−	4.20411i	−1.79807	−	0.382191i
$122$	0.238209	+	0.0773986i	0.0215664	+	0.00700734i
$123$	−10.5276	+	10.7067i	−0.949242	+	0.965387i
$124$	−5.21477	+	1.95093i	−0.468300	+	0.175199i
$125$	9.67538	+	5.60240i	0.865393	+	0.501094i
$126$	0.928952	−	3.03207i	0.0827576	−	0.270119i
$127$	3.68423	+	0.783108i	0.326923	+	0.0694896i	0.368449	−	0.929648i	$-0.379889\pi$
$127$	3.68423	+	0.783108i	0.326923	+	0.0694896i	−0.0415266	+	0.999137i	$0.513222\pi$
$128$	0.809017	+	0.587785i	0.0715077	+	0.0519534i
$129$	3.69347	−	14.2642i	0.325192	−	1.25590i
$130$	9.67457	+	1.71009i	0.848516	+	0.149985i
$131$	−2.93056	−	6.58214i	−0.256044	−	0.575085i	0.739091	−	0.673606i	$-0.235255\pi$
$131$	−2.93056	−	6.58214i	−0.256044	−	0.575085i	−0.995135	+	0.0985213i	$0.968589\pi$
$132$	9.57118	+	1.43331i	0.833065	+	0.124753i
$133$	−0.674862	+	1.51577i	−0.0585180	+	0.131434i
$134$	1.21397	+	5.71128i	0.104871	+	0.493380i
$135$	−5.73464	+	10.1051i	−0.493559	+	0.869712i
$136$	0.0242265	−	0.0218136i	0.00207740	−	0.00187050i
$137$	5.97740	+	5.38208i	0.510684	+	0.459822i	0.883734	−	0.467989i	$-0.155021\pi$
$137$	5.97740	+	5.38208i	0.510684	+	0.459822i	−0.373050	+	0.927811i	$0.621688\pi$
$138$	1.33444	+	1.06210i	0.113595	+	0.0904123i
$139$	−19.2937	+	6.26889i	−1.63647	+	0.531721i	−0.975745	−	0.218910i	$-0.929750\pi$
$139$	−19.2937	+	6.26889i	−1.63647	+	0.531721i	−0.660723	+	0.750630i	$0.729750\pi$
$140$	1.45443	+	1.86320i	0.122922	+	0.157470i
$141$	−12.3497	+	15.5163i	−1.04003	+	1.30671i
$142$	3.59926	+	3.24079i	0.302043	+	0.271961i
$143$	16.4270	+	18.2441i	1.37370	+	1.52565i
$144$	−2.98843	−	0.263228i	−0.249036	−	0.0219357i
$145$	3.86010	+	6.18325i	0.320564	+	0.513491i
$146$	5.40666	+	2.40720i	0.447458	+	0.199221i
$147$	−10.0766	−	1.50900i	−0.831107	−	0.124460i
$148$	2.59512	−	1.15542i	0.213318	−	0.0949752i
$149$	6.41978	+	3.70646i	0.525929	+	0.303645i	0.739357	−	0.673314i	$-0.235130\pi$
$149$	6.41978	+	3.70646i	0.525929	+	0.303645i	−0.213428	+	0.976959i	$0.568463\pi$
$150$	−3.71944	−	7.82085i	−0.303691	−	0.638570i
$151$	−8.27762	+	11.3932i	−0.673623	+	0.927163i	−0.999836	−	0.0181339i	$-0.994227\pi$
$151$	−8.27762	+	11.3932i	−0.673623	+	0.927163i	0.326213	+	0.945296i	$0.394227\pi$
$152$	1.53534	+	0.326347i	0.124533	+	0.0264703i
$153$	−0.0286490	+	0.0935096i	−0.00231614	+	0.00755981i
$154$			5.90638i			0.475950i
$155$	3.53336	+	11.9380i	0.283806	+	0.958882i
$156$	−5.42631	−	5.33556i	−0.434452	−	0.427187i
$157$	5.38023	+	1.74814i	0.429389	+	0.139517i	0.515735	−	0.856748i	$-0.327519\pi$
$157$	5.38023	+	1.74814i	0.429389	+	0.139517i	−0.0863458	+	0.996265i	$0.527519\pi$
$158$	−0.262162	+	1.23337i	−0.0208565	+	0.0981220i
$159$	−4.54528	+	0.759241i	−0.360464	+	0.0602118i
$160$	1.43804	−	1.71232i	0.113687	−	0.135371i
$161$	−0.520435	+	0.901420i	−0.0410161	+	0.0710419i
$162$	8.09379	−	3.93580i	0.635908	−	0.309226i
$163$	0.0603807	+	0.0831069i	0.00472938	+	0.00650944i	0.811375	−	0.584526i	$-0.198719\pi$
$163$	0.0603807	+	0.0831069i	0.00472938	+	0.00650944i	−0.806646	+	0.591035i	$0.798719\pi$
$164$	−3.52606	+	7.91967i	−0.275339	+	0.618422i
$165$	4.69898	−	21.1241i	0.365815	−	1.64451i
$166$	8.32069	+	0.874540i	0.645811	+	0.0678775i
$167$	−12.9391	+	11.6504i	−1.00126	+	0.901535i	−0.995142	−	0.0984463i	$-0.968613\pi$
$167$	−12.9391	+	11.6504i	−1.00126	+	0.901535i	−0.00611368	+	0.999981i	$0.501946\pi$
$168$	−0.111234	−	1.82750i	−0.00858192	−	0.140995i
$169$	−0.658983	−	6.26980i	−0.0506910	−	0.482292i
$170$	−0.0448549	−	0.0574615i	−0.00344021	−	0.00440710i
$171$	−4.45329	+	1.53045i	−0.340551	+	0.117037i
$172$	−0.889230	−	8.46046i	−0.0678032	−	0.645104i
$173$	4.76607	−	5.29326i	0.362358	−	0.402439i	−0.534206	−	0.845355i	$-0.679389\pi$
$173$	4.76607	−	5.29326i	0.362358	−	0.402439i	0.896563	+	0.442916i	$0.146056\pi$
$174$	0.247947	−	5.64077i	0.0187968	−	0.427626i
$175$	4.38421	−	2.95182i	0.331415	−	0.223136i
$176$	5.46544	−	1.16172i	0.411973	−	0.0875676i
$177$	−14.3328	+	5.64095i	−1.07732	+	0.424000i
$178$	3.24086	−	2.35462i	0.242913	−	0.176487i
$179$	−19.2074	+	8.55171i	−1.43563	+	0.639185i	−0.969402	−	0.245479i	$-0.921055\pi$
$179$	−19.2074	+	8.55171i	−1.43563	+	0.639185i	−0.466230	+	0.884664i	$0.654388\pi$
$180$	−1.05609	+	6.62455i	−0.0787163	+	0.493765i
$181$	1.82850	−	1.05568i	0.135911	−	0.0784684i	−0.430503	−	0.902589i	$-0.641664\pi$
$181$	1.82850	−	1.05568i	0.135911	−	0.0784684i	0.566414	+	0.824121i	$0.308330\pi$
$182$	2.72990	−	3.75738i	0.202354	−	0.278516i
$183$	−0.361829	+	0.239336i	−0.0267471	+	0.0176922i
$184$	0.936489	+	0.304284i	0.0690389	+	0.0224321i
$185$	−2.17001	−	5.96988i	−0.159542	−	0.438914i
$186$	2.98089	−	9.17139i	0.218569	−	0.672479i
$187$		−	0.182154i		−	0.0133204i
$188$	−3.53808	+	10.8891i	−0.258041	+	0.794168i
$189$	3.10707	+	4.52939i	0.226006	+	0.329465i
$190$	0.968862	−	3.37346i	0.0702886	−	0.244736i
$191$	22.5667	−	13.0289i	1.63287	−	0.942739i	0.649671	−	0.760216i	$-0.274907\pi$
$191$	22.5667	−	13.0289i	1.63287	−	0.942739i	0.983201	−	0.182523i	$-0.0584265\pi$
$192$	−1.66919	+	0.462379i	−0.120464	+	0.0333693i
$193$	−3.70784	−	8.32794i	−0.266896	−	0.599458i	0.729528	−	0.683951i	$-0.239740\pi$
$193$	−3.70784	−	8.32794i	−0.266896	−	0.599458i	−0.996424	+	0.0844926i	$0.973073\pi$
$194$	3.22614	+	4.44041i	0.231624	+	0.318803i
$195$	−12.7528	+	11.2664i	−0.913244	+	0.806805i
$196$	−5.75407	+	1.22307i	−0.411005	+	0.0873618i
$197$	−5.96949	−	0.627419i	−0.425309	−	0.0447018i	−0.110543	−	0.993871i	$-0.535259\pi$
$197$	−5.96949	−	0.627419i	−0.425309	−	0.0447018i	−0.314765	+	0.949170i	$0.601926\pi$
$198$	−12.2661	+	11.4249i	−0.871717	+	0.811929i
$199$	−0.869990	−	0.783342i	−0.0616720	−	0.0555297i	0.637718	−	0.770270i	$-0.279878\pi$
$199$	−0.869990	−	0.783342i	−0.0616720	−	0.0555297i	−0.699390	+	0.714740i	$0.746545\pi$
$200$	−3.59377	−	3.47632i	−0.254118	−	0.245813i
$201$	−9.04935	−	4.51517i	−0.638292	−	0.318475i
$202$	−11.3436	+	3.68577i	−0.798136	+	0.259330i
$203$	3.42698	−	0.360191i	0.240527	−	0.0252804i
$204$	0.00343049	+	0.0563605i	0.000240182	+	0.00394602i
$205$	17.1119	+	9.10783i	1.19515	+	0.636119i
$206$	13.8637	+	1.45714i	0.965933	+	0.101524i
$207$	−2.87873	+	0.662820i	−0.200085	+	0.0460692i
$208$	−4.01382	−	1.78707i	−0.278308	−	0.123911i
$209$	7.09545	−	5.15514i	0.490802	−	0.356589i
$210$	−4.09380	−	0.0386574i	−0.282499	−	0.00266761i
$211$	7.46370	−	12.9275i	0.513822	−	0.889966i	−0.486049	−	0.873931i	$-0.661562\pi$
$211$	7.46370	−	12.9275i	0.513822	−	0.889966i	0.999871	−	0.0160349i	$-0.00510428\pi$
$212$	−2.30413	+	1.33029i	−0.158248	+	0.0913645i
$213$	−8.27416	+	1.38211i	−0.566936	+	0.0947009i
$214$	−17.7219	−	3.76691i	−1.21144	−	0.257501i
$215$	−19.0111	+	0.655862i	−1.29654	+	0.0447294i
$216$	3.58013	−	3.76599i	0.243597	−	0.256243i
$217$	5.80496	+	0.970202i	0.394066	+	0.0658616i
$218$	−11.9944			−0.812366
$219$	−9.09400	+	4.73063i	−0.614516	+	0.319667i
$220$	−1.73363	−	12.3733i	−0.116882	−	0.834205i
$221$	−0.0841905	+	0.115878i	−0.00566327	+	0.00779482i
$222$	−1.23334	+	4.76318i	−0.0827763	+	0.319684i
$223$	−1.52543	+	2.64212i	−0.102150	+	0.176929i	−0.912570	−	0.408920i	$-0.865906\pi$
$223$	−1.52543	+	2.64212i	−0.102150	+	0.176929i	0.810420	+	0.585849i	$0.199239\pi$
$224$	−0.429946	−	0.965674i	−0.0287270	−	0.0645218i
$225$	14.6107	+	3.39519i	0.974047	+	0.226346i
$226$	1.50687	+	0.670900i	0.100235	+	0.0446276i
$227$	−22.7842	+	4.84292i	−1.51224	+	0.321436i	−0.888016	−	0.459812i	$-0.847917\pi$
$227$	−22.7842	+	4.84292i	−1.51224	+	0.321436i	−0.624221	+	0.781248i	$0.714584\pi$
$228$	−2.09833	+	1.72869i	−0.138965	+	0.114485i
$229$	9.28677	−	8.36184i	0.613687	−	0.552566i	−0.302585	−	0.953122i	$-0.597850\pi$
$229$	9.28677	−	8.36184i	0.613687	−	0.552566i	0.916272	+	0.400556i	$0.131183\pi$
$230$	0.825675	−	2.04114i	0.0544434	−	0.134589i
$231$	−8.00432	−	6.37078i	−0.526646	−	0.419166i
$232$	−1.00735	−	3.10030i	−0.0661356	−	0.203545i
$233$	−7.76743	−	23.9057i	−0.508861	−	1.56611i	−0.794180	−	0.607682i	$-0.792100\pi$
$233$	−7.76743	−	23.9057i	−0.508861	−	1.56611i	0.285319	−	0.958433i	$-0.407900\pi$
$234$	13.0837	−	1.59865i	0.855309	−	0.104507i
$235$	23.7335	+	9.60059i	1.54820	+	0.626274i
$236$	−6.60868	+	5.95048i	−0.430188	+	0.387343i
$237$	−1.38869	−	1.68563i	−0.0902053	−	0.109494i
$238$	−0.0337072	+	0.00716468i	−0.00218491	+	0.000464417i
$239$	6.77508	+	3.01646i	0.438244	+	0.195119i	0.613985	−	0.789318i	$-0.289566\pi$
$239$	6.77508	+	3.01646i	0.438244	+	0.195119i	−0.175741	+	0.984436i	$0.556232\pi$
$240$	0.769431	+	3.79578i	0.0496666	+	0.245017i
$241$	−5.75747	−	12.9315i	−0.370871	−	0.832991i	−0.998514	−	0.0544894i	$-0.982647\pi$
$241$	−5.75747	−	12.9315i	−0.370871	−	0.832991i	0.627643	−	0.778501i	$-0.284020\pi$
$242$	10.1103	−	17.5116i	0.649916	−	1.12569i
$243$	−3.39638	+	15.2140i	−0.217878	+	0.975976i
$244$	−0.147221	+	0.202632i	−0.00942486	+	0.0129722i
$245$	1.82519	+	13.0267i	0.116607	+	0.832245i
$246$	−6.92943	−	13.3209i	−0.441804	−	0.849309i
$247$	−6.89650			−0.438814
$248$	−0.243994	−	5.56242i	−0.0154936	−	0.353214i
$249$	−10.1601	+	10.3329i	−0.643870	+	0.654821i
$250$	−8.31806	+	7.47060i	−0.526080	+	0.472482i
$251$	27.3650	+	5.81662i	1.72727	+	0.367142i	0.961250	−	0.275679i	$-0.0889028\pi$
$251$	27.3650	+	5.81662i	1.72727	+	0.367142i	0.766016	+	0.642821i	$0.222236\pi$
$252$	2.59661	+	1.82045i	0.163571	+	0.114677i
$253$	4.76483	−	2.75098i	0.299562	−	0.172952i
$254$	−1.88327	+	3.26192i	−0.118167	+	0.204671i
$255$	0.126253	+	0.00119220i	0.00790630	+	7.46584e-5i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−18.0237	−	8.02467i	−1.12429	−	0.500565i	−0.241530	−	0.970393i	$-0.577649\pi$
$257$	−18.0237	−	8.02467i	−1.12429	−	0.500565i	−0.882758	+	0.469828i	$0.844316\pi$
$258$	12.4248	+	7.92059i	0.773532	+	0.493115i
$259$	−2.98636	−	0.313880i	−0.185564	−	0.0195035i
$260$	−4.61600	+	8.67261i	−0.286272	+	0.537853i
$261$	7.37693	+	6.42030i	0.456621	+	0.397407i
$262$	7.16558	−	0.753133i	0.442691	−	0.0465287i
$263$	21.7415	−	7.06423i	1.34064	−	0.435599i	0.451104	−	0.892472i	$-0.351030\pi$
$263$	21.7415	−	7.06423i	1.34064	−	0.435599i	0.889532	+	0.456873i	$0.151030\pi$
$264$	−4.32081	+	8.65982i	−0.265928	+	0.532975i
$265$	2.60572	+	5.34823i	0.160068	+	0.328539i
$266$	−1.23303	−	1.11023i	−0.0756022	−	0.0680725i
$267$	−0.304694	+	6.93178i	−0.0186470	+	0.424218i
$268$	−5.80689	−	0.610329i	−0.354712	−	0.0372818i
$269$	5.41121	−	1.15019i	0.329927	−	0.0701282i	−0.0399700	−	0.999201i	$-0.512726\pi$
$269$	5.41121	−	1.15019i	0.329927	−	0.0701282i	0.369897	+	0.929073i	$0.379393\pi$
$270$	−7.83846	−	8.57663i	−0.477034	−	0.521957i
$271$	6.06162	+	8.34311i	0.368217	+	0.506808i	0.952415	−	0.304803i	$-0.0985908\pi$
$271$	6.06162	+	8.34311i	0.368217	+	0.506808i	−0.584198	+	0.811611i	$0.698591\pi$
$272$	0.0132596	+	0.0297815i	0.000803981	+	0.00180577i
$273$	2.14746	+	7.75237i	0.129970	+	0.469195i
$274$	−6.96578	+	4.02169i	−0.420818	+	0.242959i
$275$	−27.8713	+	1.92535i	−1.68070	+	0.116103i
$276$	−1.42249	+	0.940921i	−0.0856236	+	0.0566368i
$277$	−4.69118	+	14.4380i	−0.281866	+	0.867493i	0.705455	+	0.708755i	$0.250743\pi$
$277$	−4.69118	+	14.4380i	−0.281866	+	0.867493i	−0.987321	+	0.158738i	$0.949257\pi$
$278$		−	20.2866i		−	1.21671i
$279$	9.21379	+	13.9322i	0.551615	+	0.834099i
$280$	−2.22146	+	0.807485i	−0.132757	+	0.0482564i
$281$	8.59698	+	2.79333i	0.512853	+	0.166636i	0.553999	−	0.832517i	$-0.313101\pi$
$281$	8.59698	+	2.79333i	0.512853	+	0.166636i	−0.0411463	+	0.999153i	$0.513101\pi$
$282$	−10.9406	−	16.5401i	−0.651504	−	0.984946i
$283$	−12.3794	+	17.0388i	−0.735880	+	1.01285i	0.262965	+	0.964805i	$0.415300\pi$
$283$	−12.3794	+	17.0388i	−0.735880	+	1.01285i	−0.998845	+	0.0480464i	$0.984700\pi$
$284$	−4.19440	+	2.42164i	−0.248892	+	0.143698i
$285$	3.52667	+	4.95170i	0.208902	+	0.293314i
$286$	−22.4274	+	9.98531i	−1.32616	+	0.590444i
$287$	7.41370	−	5.38637i	0.437617	−	0.317947i
$288$	1.17382	−	2.76082i	0.0691680	−	0.162683i
$289$	−16.6275	+	3.53428i	−0.978086	+	0.207899i
$290$	−7.07346	+	1.76045i	−0.415368	+	0.103377i
$291$	−9.49744	−	0.417471i	−0.556750	−	0.0244726i
$292$	−3.96013	+	4.39817i	−0.231749	+	0.257384i
$293$	−1.50723	−	14.3404i	−0.0880536	−	0.837774i	−0.946029	−	0.324083i	$-0.894944\pi$
$293$	−1.50723	−	14.3404i	−0.0880536	−	0.837774i	0.857975	−	0.513691i	$-0.171722\pi$
$294$	4.54899	−	9.11714i	0.265303	−	0.531723i
$295$	12.2358	+	15.6748i	0.712398	+	0.912621i
$296$	0.296936	+	2.82515i	0.0172590	+	0.164209i
$297$	−2.25237	−	28.9462i	−0.130696	−	1.67963i
$298$	−5.50888	+	4.96021i	−0.319121	+	0.287337i
$299$	−4.30267	−	0.452229i	−0.248830	−	0.0261531i
$300$	8.58744	−	1.12062i	0.495796	−	0.0646993i
$301$	−3.65758	+	8.21505i	−0.210819	+	0.473508i
$302$	−8.27762	−	11.3932i	−0.476323	−	0.655603i
$303$	7.24059	−	19.3485i	0.415961	−	1.11154i
$304$	−0.784822	+	1.35935i	−0.0450126	+	0.0779642i
$305$	0.428881	+	0.360182i	0.0245576	+	0.0206239i
$306$	−0.0800799	−	0.0561429i	−0.00457786	−	0.00320948i
$307$	6.92495	−	32.5793i	0.395228	−	1.85940i	−0.106408	−	0.994323i	$-0.533935\pi$
$307$	6.92495	−	32.5793i	0.395228	−	1.85940i	0.501636	−	0.865079i	$-0.332732\pi$
$308$	−5.61730	−	1.82517i	−0.320075	−	0.103999i
$309$	−16.9285	+	17.2164i	−0.963029	+	0.979408i
$310$	−12.4456	−	0.328612i	−0.706860	−	0.0186639i
$311$		−	24.6367i		−	1.39702i	−0.715601	−	0.698510i	$-0.753847\pi$
$311$		−	24.6367i		−	1.39702i	0.715601	−	0.698510i	$-0.246153\pi$
$312$	6.75124	−	3.51195i	0.382214	−	0.198825i
$313$	0.403659	+	0.0858003i	0.0228161	+	0.00484972i	0.219306	−	0.975656i	$-0.429621\pi$
$313$	0.403659	+	0.0858003i	0.0228161	+	0.00484972i	−0.196489	+	0.980506i	$0.562954\pi$
$314$	−3.32516	+	4.57670i	−0.187650	+	0.258278i
$315$	4.46807	−	5.50622i	0.251747	−	0.310240i
$316$	−1.09200	−	0.630464i	−0.0614296	−	0.0354664i
$317$	−18.3189	+	8.15610i	−1.02889	+	0.458092i	−0.850560	−	0.525878i	$-0.823737\pi$
$317$	−18.3189	+	8.15610i	−1.02889	+	0.458092i	−0.178332	+	0.983970i	$0.557070\pi$
$318$	0.682486	−	4.55743i	0.0382719	−	0.255568i
$319$	−16.6398	−	7.40852i	−0.931650	−	0.414797i
$320$	1.18414	+	1.89679i	0.0661952	+	0.106034i
$321$	24.2202	−	19.9536i	1.35184	−	1.11370i
$322$	−0.696478	−	0.773518i	−0.0388132	−	0.0431065i
$323$	0.0380270	+	0.0342396i	0.00211588	+	0.00190514i
$324$	1.24205	+	8.91388i	0.0690029	+	0.495216i
$325$	18.6204	+	11.6571i	1.03287	+	0.646622i
$326$	−0.0976980	+	0.0317440i	−0.00541099	+	0.00175814i
$327$	12.9375	−	16.2549i	0.715447	−	0.898896i
$328$	−6.44244	−	5.80080i	−0.355724	−	0.320296i
$329$	8.99413	−	8.09835i	0.495862	−	0.446477i
$330$	18.6382	+	10.9967i	1.02600	+	0.605349i
$331$	−1.41565	−	6.66013i	−0.0778114	−	0.366074i	0.921964	−	0.387276i	$-0.126584\pi$
$331$	−1.41565	−	6.66013i	−0.0778114	−	0.366074i	−0.999775	+	0.0212022i	$0.993251\pi$
$332$	−3.40297	+	7.64320i	−0.186762	+	0.419475i
$333$	−5.12475	−	6.80911i	−0.280834	−	0.373137i
$334$	−7.08179	−	15.9060i	−0.387498	−	0.870336i
$335$	−2.27259	+	12.8568i	−0.124165	+	0.702443i
$336$	1.77243	+	0.458939i	0.0966941	+	0.0250372i
$337$	−29.1904	−	21.2081i	−1.59010	−	1.15528i	−0.903794	−	0.427968i	$-0.859229\pi$
$337$	−29.1904	−	21.2081i	−1.59010	−	1.15528i	−0.686310	−	0.727309i	$-0.740771\pi$
$338$	6.16657	+	1.31075i	0.335417	+	0.0712952i
$339$	−2.53455	+	1.31845i	−0.137658	+	0.0716085i
$340$	0.0685101	−	0.0249029i	0.00371548	−	0.00135055i
$341$	−24.0094	−	19.7836i	−1.30018	−	1.07134i
$342$	−0.0794076	−	4.70826i	−0.00429387	−	0.254594i
$343$	12.9512	+	4.20811i	0.699301	+	0.227217i
$344$	8.32116	+	1.76872i	0.448647	+	0.0953629i
$345$	1.87556	+	3.32058i	0.100977	+	0.178774i
$346$	3.56139	+	6.16851i	0.191462	+	0.331621i
$347$	22.6568	+	13.0809i	1.21628	+	0.702220i	0.964120	−	0.265466i	$-0.0855258\pi$
$347$	22.6568	+	13.0809i	1.21628	+	0.702220i	0.252160	+	0.967686i	$0.418859\pi$
$348$	5.28807	+	1.97891i	0.283471	+	0.106081i
$349$	−8.15708	+	5.92647i	−0.436639	+	0.317237i	−0.784298	−	0.620384i	$-0.786977\pi$
$349$	−8.15708	+	5.92647i	−0.436639	+	0.317237i	0.347659	+	0.937621i	$0.386977\pi$
$350$	1.45255	+	5.08179i	0.0776419	+	0.271633i
$351$	−11.9459	+	19.4554i	−0.637627	+	1.03845i
$352$	−0.584057	+	5.55693i	−0.0311304	+	0.296186i
$353$	−16.9214	+	15.2361i	−0.900635	+	0.810935i	−0.982607	−	0.185700i	$-0.940545\pi$
$353$	−16.9214	+	15.2361i	−0.900635	+	0.810935i	0.0819720	+	0.996635i	$0.473878\pi$
$354$	−0.935793	−	15.3744i	−0.0497368	−	0.817142i
$355$	4.74341	+	9.73585i	0.251754	+	0.516725i
$356$	1.23790	+	3.80986i	0.0656085	+	0.201922i
$357$	0.0266479	−	0.0534079i	0.00141035	−	0.00282665i
$358$	−2.19773	−	20.9100i	−0.116154	−	1.10513i
$359$	−12.3573	−	11.1266i	−0.652193	−	0.587237i	0.275172	−	0.961395i	$-0.411265\pi$
$359$	−12.3573	−	11.1266i	−0.652193	−	0.587237i	−0.927365	+	0.374158i	$0.877932\pi$
$360$	−5.97397	−	3.05150i	−0.314856	−	0.160828i
$361$	1.72851	−	16.4456i	0.0909740	−	0.865559i
$362$	0.438978	+	2.06523i	0.0230722	+	0.108546i
$363$	12.8264	+	32.5899i	0.673213	+	1.71053i
$364$	2.72990	+	3.75738i	0.143086	+	0.196940i
$365$	9.18895	+	9.52346i	0.480971	+	0.498481i
$366$	−0.115811	−	0.418078i	−0.00605352	−	0.0218533i
$367$	5.60684	+	9.71134i	0.292675	+	0.506928i	0.974441	−	0.224642i	$-0.0721213\pi$
$367$	5.60684	+	9.71134i	0.292675	+	0.506928i	−0.681766	+	0.731570i	$0.738788\pi$
$368$	−0.578782	+	0.796625i	−0.0301711	+	0.0415269i
$369$	25.5267	+	4.97750i	1.32887	+	0.259119i
$370$	6.34826	−	0.219008i	0.330030	−	0.0113857i
$371$	2.81239			0.146012
$372$	7.80136	+	5.66911i	0.404482	+	0.293930i
$373$		−	12.0487i		−	0.623857i	−0.950106	−	0.311929i	$-0.899025\pi$
$373$		−	12.0487i		−	0.623857i	0.950106	−	0.311929i	$-0.100975\pi$
$374$	0.173238	+	0.0562886i	0.00895795	+	0.00291061i
$375$	−1.15207	−	19.3306i	−0.0594928	−	0.998229i
$376$	−9.26281	−	6.72983i	−0.477693	−	0.347064i
$377$	7.16135	+	12.4038i	0.368828	+	0.638829i
$378$	−5.26784	+	1.55534i	−0.270949	+	0.0799982i
$379$	27.5295	−	12.2569i	1.41409	−	0.629595i	0.449487	−	0.893287i	$-0.351607\pi$
$379$	27.5295	−	12.2569i	1.41409	−	0.629595i	0.964607	+	0.263692i	$0.0849401\pi$
$380$	2.90896	+	1.96390i	0.149226	+	0.100746i
$381$	−2.38921	−	6.07060i	−0.122403	−	0.311006i
$382$	5.41773	+	25.4884i	0.277195	+	1.30410i
$383$	17.0610	+	1.79318i	0.871776	+	0.0916274i	0.529842	−	0.848097i	$-0.322251\pi$
$383$	17.0610	+	1.79318i	0.871776	+	0.0916274i	0.341934	+	0.939724i	$0.388918\pi$
$384$	0.0760609	−	1.73038i	0.00388147	−	0.0883031i
$385$	−4.95261	+	12.2433i	−0.252409	+	0.623976i
$386$	9.06613	−	0.952888i	0.461454	−	0.0485007i
$387$	−24.1357	+	8.29467i	−1.22688	+	0.421642i
$388$	−5.22001	+	1.69608i	−0.265006	+	0.0861056i
$389$	1.62176	+	15.4300i	0.0822266	+	0.782334i	0.955478	+	0.295064i	$0.0953408\pi$
$389$	1.62176	+	15.4300i	0.0822266	+	0.782334i	−0.873251	+	0.487271i	$0.837993\pi$
$390$	−6.77418	−	15.6101i	−0.343024	−	0.790449i
$391$	0.0214795	+	0.0238554i	0.00108627	+	0.00120642i
$392$	0.614901	−	5.85039i	0.0310572	−	0.295490i
$393$	−6.70834	+	10.5231i	−0.338391	+	0.530822i
$394$	2.44139	−	5.48344i	0.122995	−	0.276252i
$395$	−1.57764	+	2.33682i	−0.0793797	+	0.117578i
$396$	−7.07524	−	15.1963i	−0.355544	−	0.763641i
$397$	−29.4881	−	17.0249i	−1.47996	−	0.854457i	−0.480220	−	0.877148i	$-0.659443\pi$
$397$	−29.4881	−	17.0249i	−1.47996	−	0.854457i	−0.999743	+	0.0226910i	$0.992777\pi$
$398$	1.01384	−	0.585343i	0.0508194	−	0.0293406i
$399$	2.83457	−	0.473485i	0.141906	−	0.0237039i
$400$	4.41671	−	2.34364i	0.220836	−	0.117182i
$401$	−8.53165	+	26.2577i	−0.426050	+	1.31125i	0.475935	+	0.879481i	$0.342110\pi$
$401$	−8.53165	+	26.2577i	−0.426050	+	1.31125i	−0.901985	+	0.431767i	$0.857890\pi$
$402$	7.09058	−	7.21118i	0.353646	−	0.359661i
$403$	6.12984	+	23.6825i	0.305349	+	1.17971i
$404$		−	11.9274i		−	0.593411i
$405$	20.0778	−	1.37170i	0.997674	−	0.0681603i
$406$	−0.716435	+	3.37056i	−0.0355561	+	0.167278i
$407$	12.8412	+	9.32969i	0.636516	+	0.462456i
$408$	−0.0546621	−	0.0141538i	−0.00270618	−	0.000700716i
$409$	20.4569	+	11.8108i	1.01153	+	0.584007i	0.911639	−	0.410992i	$-0.134818\pi$
$409$	20.4569	+	11.8108i	1.01153	+	0.584007i	0.0998902	+	0.994998i	$0.468151\pi$
$410$	−13.9499	+	13.4600i	−0.688939	+	0.664740i
$411$	2.06327	−	13.7779i	0.101774	−	0.679615i
$412$	−5.66995	+	12.7349i	−0.279339	+	0.627405i
$413$	9.19488	−	1.95443i	0.452451	−	0.0961714i
$414$	0.259196	−	2.94265i	0.0127388	−	0.144624i
$415$	16.5146	+	8.78989i	0.810669	+	0.431479i
$416$	2.93994	−	3.26513i	0.144142	−	0.160086i
$417$	27.4923	+	21.8816i	1.34631	+	1.07155i
$418$	2.71022	+	8.34120i	0.132561	+	0.407981i
$419$	22.2323	−	7.22371i	1.08612	−	0.352901i	0.289373	−	0.957216i	$-0.406553\pi$
$419$	22.2323	−	7.22371i	1.08612	−	0.352901i	0.796745	+	0.604315i	$0.206553\pi$
$420$	1.30182	−	3.88149i	0.0635223	−	0.189397i
$421$	25.5911	−	28.4218i	1.24723	−	1.38519i	0.354221	−	0.935162i	$-0.384746\pi$
$421$	25.5911	−	28.4218i	1.24723	−	1.38519i	0.893013	−	0.450032i	$-0.148587\pi$
$422$	9.98838	+	11.0932i	0.486227	+	0.540010i
$423$	34.2159	+	3.01382i	1.66363	+	0.146537i
$424$	−0.553165	−	2.60243i	−0.0268640	−	0.126385i
$425$	−0.0447968	−	0.156723i	−0.00217296	−	0.00760220i
$426$	1.24239	−	8.29629i	0.0601939	−	0.401957i
$427$	0.241870	−	0.107687i	0.0117049	−	0.00521136i
$428$	9.05891	−	15.6905i	0.437879	−	0.758429i
$429$	10.6587	−	41.1640i	0.514606	−	1.98742i
$430$	5.25098	−	18.2833i	0.253225	−	0.881697i
$431$	−2.99142	+	14.0735i	−0.144091	+	0.677897i	0.845498	+	0.533979i	$0.179304\pi$
$431$	−2.99142	+	14.0735i	−0.144091	+	0.677897i	−0.989590	+	0.143919i	$0.954030\pi$
$432$	2.47535	+	4.56866i	0.119095	+	0.219810i
$433$	26.6621			1.28130			0.640649	−	0.767834i	$-0.278665\pi$
$433$	26.6621			1.28130			0.640649	+	0.767834i	$0.278665\pi$
$434$	−2.71655	+	5.22103i	−0.130398	+	0.250618i
$435$	5.24386	−	11.4848i	0.251424	−	0.550655i
$436$	3.70649	−	11.4074i	0.177509	−	0.546315i
$437$	−0.321349	+	1.51183i	−0.0153722	+	0.0723205i
$438$	−1.68890	−	10.1108i	−0.0806987	−	0.483111i
$439$	17.6766	+	30.6167i	0.843657	+	1.46126i	0.886782	+	0.462188i	$0.152935\pi$
$439$	17.6766	+	30.6167i	0.843657	+	1.46126i	−0.0431248	+	0.999070i	$0.513731\pi$
$440$	12.3034	+	2.17477i	0.586541	+	0.103678i
$441$	7.44888	+	15.9988i	0.354709	+	0.761847i
$442$	−0.0841905	−	0.115878i	−0.00400453	−	0.00551177i
$443$	−6.80144	−	3.02820i	−0.323146	−	0.143874i	0.238751	−	0.971081i	$-0.423262\pi$
$443$	−6.80144	−	3.02820i	−0.323146	−	0.143874i	−0.561898	+	0.827207i	$0.689929\pi$
$444$	−4.14893	−	2.64488i	−0.196900	−	0.125520i
$445$	8.69236	−	2.16336i	0.412057	−	0.102553i
$446$	−2.04142	−	2.26723i	−0.0966640	−	0.107356i
$447$	−0.780060	−	12.8158i	−0.0368956	−	0.606169i
$448$	1.05127	−	0.110493i	0.0496679	−	0.00522031i
$449$	4.56163	+	14.0393i	0.215277	+	0.662553i	0.999134	+	0.0416121i	$0.0132494\pi$
$449$	4.56163	+	14.0393i	0.215277	+	0.662553i	−0.783857	+	0.620941i	$0.786751\pi$
$450$	−7.74397	+	12.8464i	−0.365054	+	0.605587i
$451$	−48.1739	+	5.06328i	−2.26842	+	0.238421i
$452$	−1.10371	+	1.22579i	−0.0519142	+	0.0576565i
$453$	24.3685	+	1.07114i	1.14493	+	0.0503268i
$454$	2.43480	−	23.1656i	0.114271	−	1.08721i
$455$	8.80943	−	5.49958i	0.412992	−	0.257824i
$456$	−0.995663	−	2.52982i	−0.0466262	−	0.118470i
$457$	24.9107	−	18.0987i	1.16527	−	0.846621i	0.174838	−	0.984597i	$-0.444060\pi$
$457$	24.9107	−	18.0987i	1.16527	−	0.846621i	0.990436	+	0.137976i	$0.0440598\pi$
$458$	5.08282	+	11.4162i	0.237504	+	0.533444i
$459$	0.162461	−	0.0479670i	0.00758304	−	0.00223891i
$460$	1.68609	+	1.41601i	0.0786145	+	0.0660219i
$461$	−26.0934	−	18.9580i	−1.21529	−	0.882961i	−0.219591	−	0.975592i	$-0.570472\pi$
$461$	−26.0934	−	18.9580i	−1.21529	−	0.882961i	−0.995700	+	0.0926313i	$0.970472\pi$
$462$	8.53244	−	5.64388i	0.396965	−	0.262577i
$463$	−1.70472	+	5.24660i	−0.0792253	+	0.243830i	−0.982823	−	0.184552i	$-0.940916\pi$
$463$	−1.70472	+	5.24660i	−0.0792253	+	0.243830i	0.903597	+	0.428383i	$0.140916\pi$
$464$	3.25985			0.151335
$465$	13.8694	−	16.5118i	0.643180	−	0.765715i
$466$	25.1359			1.16440
$467$	−7.27928	+	22.4033i	−0.336845	+	1.03670i	0.628962	+	0.777436i	$0.283480\pi$
$467$	−7.27928	+	22.4033i	−0.336845	+	1.03670i	−0.965806	+	0.259265i	$0.916520\pi$
$468$	−2.52268	+	12.9374i	−0.116611	+	0.598029i
$469$	4.99330	+	3.62784i	0.230569	+	0.167518i
$470$	−16.4648	+	19.6052i	−0.759463	+	0.904319i
$471$	−2.61573	−	9.44280i	−0.120526	−	0.435101i
$472$	−3.61705	−	8.12403i	−0.166488	−	0.373939i
$473$	38.4555	−	27.9395i	1.76818	−	1.28466i
$474$	2.03226	−	0.799837i	0.0933448	−	0.0367377i
$475$	4.83706	−	6.18041i	0.221939	−	0.283577i
$476$	0.00360207	−	0.0342714i	0.000165101	−	0.00157083i
$477$	5.44008	+	5.84067i	0.249084	+	0.267426i
$478$	−4.96244	+	5.51135i	−0.226977	+	0.252083i
$479$	−35.0065	+	3.67933i	−1.59949	+	0.168113i	−0.861878	−	0.507116i	$-0.830711\pi$
$479$	−35.0065	+	3.67933i	−1.59949	+	0.168113i	−0.737608	+	0.675229i	$0.764045\pi$
$480$	−3.84777	−	0.441189i	−0.175626	−	0.0201374i
$481$	−3.85689	−	11.8703i	−0.175859	−	0.541239i
$482$	14.0777	−	1.47963i	0.641223	−	0.0673953i
$483$	1.79951	−	0.109531i	0.0818806	−	0.00498381i
$484$	13.5302	+	15.0269i	0.615011	+	0.683039i
$485$	2.96409	+	11.9097i	0.134592	+	0.540790i
$486$	−13.4198	−	7.93152i	−0.608734	−	0.359781i
$487$	−12.5147	−	5.57192i	−0.567097	−	0.252488i	0.103100	−	0.994671i	$-0.467124\pi$
$487$	−12.5147	−	5.57192i	−0.567097	−	0.252488i	−0.670197	+	0.742183i	$0.733790\pi$
$488$	−0.147221	−	0.202632i	−0.00666438	−	0.00917273i
$489$	0.0623602	−	0.166640i	0.00282003	−	0.00753573i
$490$	−12.9531	−	2.28961i	−0.585163	−	0.103434i
$491$	−13.6742	−	23.6845i	−0.617109	−	1.06886i	−0.990010	−	0.140994i	$-0.954970\pi$
$491$	−13.6742	−	23.6845i	−0.617109	−	1.06886i	0.372901	−	0.927871i	$-0.378363\pi$
$492$	14.8102	−	2.47390i	0.667696	−	0.111532i
$493$	0.0220950	−	0.103949i	0.000995107	−	0.00468161i
$494$	2.13114	−	6.55896i	0.0958843	−	0.295102i
$495$	−35.0064	+	13.3971i	−1.57342	+	0.602155i
$496$	5.36557	+	1.48683i	0.240921	+	0.0667606i
$497$	5.11965			0.229648
$498$	−6.68752	−	12.8559i	−0.299675	−	0.576085i
$499$	−0.469667	+	2.20961i	−0.0210252	+	0.0989158i	−0.987409	−	0.158188i	$-0.949435\pi$
$499$	−0.469667	+	2.20961i	−0.0210252	+	0.0989158i	0.966384	+	0.257104i	$0.0827682\pi$
$500$	−4.53454	−	10.2195i	−0.202791	−	0.457029i
$501$	29.1944	+	7.55935i	1.30431	+	0.337727i
$502$	−13.9882	+	24.2283i	−0.624324	+	1.08136i
$503$	12.4633	−	5.54902i	0.555711	−	0.247419i	−0.109611	−	0.993975i	$-0.534961\pi$
$503$	12.4633	−	5.54902i	0.555711	−	0.247419i	0.665323	+	0.746556i	$0.268294\pi$
$504$	−2.53375	+	1.90697i	−0.112862	+	0.0849434i
$505$	−26.6047	−	1.87165i	−1.18390	−	0.0832873i
$506$	1.14392	+	5.38172i	0.0508535	+	0.239247i
$507$	−8.42775	+	6.94313i	−0.374290	+	0.308355i
$508$	−2.52031	−	2.79909i	−0.111821	−	0.124189i
$509$	13.1644	−	14.6205i	0.583500	−	0.648042i	−0.377036	−	0.926199i	$-0.623057\pi$
$509$	13.1644	−	14.6205i	0.583500	−	0.648042i	0.960536	+	0.278156i	$0.0897233\pi$
$510$	−0.0401483	+	0.119706i	−0.00177780	+	0.00530066i
$511$	5.94985	−	1.93322i	0.263206	−	0.0855207i
$512$	−0.309017	−	0.951057i	−0.0136568	−	0.0420312i
$513$	6.46629	+	4.97084i	0.285494	+	0.219468i
$514$	13.2015	−	14.6618i	0.582295	−	0.646704i
$515$	27.5162	+	14.6455i	1.21251	+	0.645358i
$516$	−11.3724	+	9.36905i	−0.500642	+	0.412449i
$517$	−62.5764	+	13.3010i	−2.75211	+	0.584978i
$518$	1.22135	−	2.74321i	0.0536632	−	0.120530i
$519$	−12.2010	−	1.82712i	−0.535563	−	0.0802018i
$520$	−6.82172	−	7.07006i	−0.299152	−	0.310043i
$521$	−24.3487	−	14.0578i	−1.06674	−	0.615881i	−0.139449	−	0.990229i	$-0.544533\pi$
$521$	−24.3487	−	14.0578i	−1.06674	−	0.615881i	−0.927288	+	0.374348i	$0.877867\pi$
$522$	−8.38567	+	5.03189i	−0.367031	+	0.220240i
$523$	29.2824	+	21.2749i	1.28043	+	0.930286i	0.999566	−	0.0294624i	$-0.00937952\pi$
$523$	29.2824	+	21.2749i	1.28043	+	0.930286i	0.280862	+	0.959748i	$0.409380\pi$
$524$	−1.49801	+	7.04761i	−0.0654411	+	0.307876i
$525$	−8.45360	−	3.51286i	−0.368945	−	0.153314i
$526$			22.8603i			0.996757i
$527$	0.0837787	−	0.161017i	0.00364946	−	0.00701403i
$528$	−6.90077	−	6.78537i	−0.300318	−	0.295295i
$529$	6.80777	−	20.9522i	0.295990	−	0.910963i
$530$	−5.89168	+	0.825490i	−0.255918	+	0.0358570i
$531$	21.8448	+	15.3151i	0.947983	+	0.664618i
$532$	1.43692	−	0.829606i	0.0622984	−	0.0359680i
$533$	32.9864	+	19.0447i	1.42880	+	0.824918i
$534$	−6.49835	−	2.43182i	−0.281211	−	0.105235i
$535$	−33.5770	−	22.6686i	−1.45166	−	0.980047i
$536$	2.37488	−	5.33408i	0.102579	−	0.230397i
$537$	30.7077	+	19.5757i	1.32514	+	0.844754i
$538$	−0.578262	+	5.50179i	−0.0249306	+	0.237199i
$539$	−21.9939	−	24.4267i	−0.947345	−	1.05213i
$540$	10.5791	−	4.80450i	0.455251	−	0.206753i
$541$	4.31246	+	41.0303i	0.185407	+	1.76403i	0.552185	+	0.833722i	$0.313794\pi$
$541$	4.31246	+	41.0303i	0.185407	+	1.76403i	−0.366778	+	0.930309i	$0.619539\pi$
$542$	−9.80791	+	3.18678i	−0.421286	+	0.136884i
$543$	−3.27229	−	1.63271i	−0.140428	−	0.0700663i
$544$	−0.0324214	+	0.00340762i	−0.00139005	+	0.000146101i
$545$	−24.8632	−	10.0576i	−1.06502	−	0.430819i
$546$	−8.03655	−	0.353256i	−0.343932	−	0.0151180i
$547$	−3.53557	−	0.371603i	−0.151170	−	0.0158886i	0.0286412	−	0.999590i	$-0.490882\pi$
$547$	−3.53557	−	0.371603i	−0.151170	−	0.0158886i	−0.179811	+	0.983701i	$0.557549\pi$
$548$	−1.67231	−	7.86762i	−0.0714377	−	0.336088i
$549$	0.691496	+	0.294004i	0.0295123	+	0.0125478i
$550$	6.78158	−	27.1021i	0.289168	−	1.15564i
$551$	4.67443	−	2.08119i	0.199137	−	0.0886617i
$552$	−0.455296	−	1.64363i	−0.0193787	−	0.0699573i
$553$	0.666440	+	1.15431i	0.0283399	+	0.0490862i
$554$	−12.2817	−	8.92315i	−0.521798	−	0.379108i
$555$	−6.55060	+	8.83938i	−0.278057	+	0.375211i
$556$	19.2937	+	6.26889i	0.818234	+	0.265860i
$557$		−	23.7867i		−	1.00788i	−0.863740	−	0.503938i	$-0.831884\pi$
$557$		−	23.7867i		−	1.00788i	0.863740	−	0.503938i	$-0.168116\pi$
$558$	−16.0975	+	4.45755i	−0.681462	+	0.188703i
$559$	−37.3772			−1.58089
$560$	−0.0814954	−	2.36226i	−0.00344381	−	0.0998236i
$561$	−0.263142	+	0.174058i	−0.0111099	+	0.00734875i
$562$	−5.31323	+	7.31303i	−0.224125	+	0.308482i
$563$	−7.09326	−	12.2859i	−0.298945	−	0.517789i	0.676950	−	0.736029i	$-0.263302\pi$
$563$	−7.09326	−	12.2859i	−0.298945	−	0.517789i	−0.975895	+	0.218241i	$0.929968\pi$
$564$	19.1114	−	5.29399i	0.804734	−	0.222917i
$565$	2.56101	+	2.65424i	0.107742	+	0.111665i
$566$	−12.3794	−	17.0388i	−0.520346	−	0.716194i
$567$	3.57424	−	8.81661i	0.150104	−	0.370263i
$568$	−1.00697	−	4.73744i	−0.0422517	−	0.198779i
$569$	−3.54985	+	33.7746i	−0.148818	+	1.41590i	0.624074	+	0.781366i	$0.285477\pi$
$569$	−3.54985	+	33.7746i	−0.148818	+	1.41590i	−0.772891	+	0.634539i	$0.781190\pi$
$570$	−5.79915	+	1.82390i	−0.242900	+	0.0763948i
$571$	−24.5893	−	22.1403i	−1.02903	−	0.926544i	−0.0316965	−	0.999498i	$-0.510091\pi$
$571$	−24.5893	−	22.1403i	−1.02903	−	0.926544i	−0.997335	+	0.0729531i	$0.976758\pi$
$572$	−2.56615	−	24.4153i	−0.107296	−	1.02086i
$573$	−40.3856	−	20.1504i	−1.68713	−	0.841794i
$574$	2.83178	+	8.71533i	0.118196	+	0.363771i
$575$	3.42307	−	3.53872i	0.142752	−	0.147575i
$576$	2.26297	+	1.96951i	0.0942904	+	0.0820630i
$577$	11.3119	−	10.1853i	0.470921	−	0.424019i	−0.399195	−	0.916866i	$-0.630710\pi$
$577$	11.3119	−	10.1853i	0.470921	−	0.424019i	0.870116	+	0.492847i	$0.164044\pi$
$578$	1.77687	−	16.9058i	0.0739082	−	0.703189i
$579$	−8.48761	+	13.3142i	−0.352733	+	0.553320i
$580$	0.511535	−	7.27127i	0.0212403	−	0.301923i
$581$	7.15490	−	5.19834i	0.296835	−	0.215663i
$582$	3.33191	−	8.90360i	0.138112	−	0.369066i
$583$	−12.8744	−	7.43304i	−0.533203	−	0.307845i
$584$	−2.95916	−	5.12542i	−0.122451	−	0.212091i
$585$	28.4616	+	7.65711i	1.17674	+	0.316582i
$586$	14.1043	+	2.99796i	0.582642	+	0.123844i
$587$	−42.8092	−	13.9096i	−1.76693	−	0.574109i	−0.769046	−	0.639194i	$-0.779268\pi$
$587$	−42.8092	−	13.9096i	−1.76693	−	0.574109i	−0.997880	+	0.0650850i	$0.979268\pi$
$588$	7.26520	+	7.14370i	0.299612	+	0.294601i
$589$	8.64315	−	1.29353i	0.356135	−	0.0532988i
$590$	−18.6887	+	6.79321i	−0.769401	+	0.279672i
$591$	4.79781	+	9.22315i	0.197356	+	0.379390i
$592$	−2.77864	−	0.590618i	−0.114201	−	0.0242743i
$593$	−26.3837	−	19.1689i	−1.08345	−	0.787171i	−0.105166	−	0.994455i	$-0.533538\pi$
$593$	−26.3837	−	19.1689i	−1.08345	−	0.787171i	−0.978281	+	0.207284i	$0.933538\pi$
$594$	28.2255	+	6.80274i	1.15811	+	0.279120i
$595$	−0.0758790	−	0.0134125i	−0.00311074	−	0.000549858i
$596$	−3.01511	−	6.77204i	−0.123504	−	0.277394i
$597$	−0.300302	+	2.00533i	−0.0122906	+	0.0820726i
$598$	1.75969	−	3.95234i	0.0719592	−	0.161623i
$599$	6.81897	+	32.0808i	0.278616	+	1.31078i	0.865417	+	0.501053i	$0.167054\pi$
$599$	6.81897	+	32.0808i	0.278616	+	1.31078i	−0.586801	+	0.809731i	$0.699613\pi$
$600$	−1.58789	+	8.51344i	−0.0648253	+	0.347560i
$601$	3.52757	−	3.17624i	0.143892	−	0.129561i	−0.594041	−	0.804435i	$-0.702468\pi$
$601$	3.52757	−	3.17624i	0.143892	−	0.129561i	0.737934	+	0.674873i	$0.235802\pi$
$602$	−6.68273	−	6.01715i	−0.272368	−	0.245241i
$603$	2.12449	+	17.3873i	0.0865161	+	0.708066i
$604$	13.3935	−	4.35180i	0.544972	−	0.177072i
$605$	35.6414	−	27.8219i	1.44903	−	1.13112i
$606$	16.1640	+	12.8652i	0.656618	+	0.522614i
$607$	−0.675670	−	0.608376i	−0.0274246	−	0.0246932i	0.655304	−	0.755365i	$-0.272540\pi$
$607$	−0.675670	−	0.608376i	−0.0274246	−	0.0246932i	−0.682729	+	0.730672i	$0.739207\pi$
$608$	−1.05030	−	1.16647i	−0.0425952	−	0.0473067i
$609$	−3.79502	−	4.60649i	−0.153782	−	0.186664i
$610$	−0.475084	+	0.296587i	−0.0192356	+	0.0120085i
$611$	45.9561	+	20.4610i	1.85918	+	0.827762i
$612$	0.0781411	−	0.0588114i	0.00315867	−	0.00237731i
$613$	13.9137	−	6.19479i	0.561970	−	0.250205i	−0.106035	−	0.994362i	$-0.533815\pi$
$613$	13.9137	−	6.19479i	0.561970	−	0.250205i	0.668004	+	0.744157i	$0.267149\pi$
$614$	28.8449	+	16.6536i	1.16408	+	0.672084i
$615$	−3.19414	−	33.4232i	−0.128800	−	1.34775i
$616$	3.47168	−	4.77836i	0.139878	−	0.192526i
$617$	25.6220	+	5.44612i	1.03150	+	0.219252i	0.692412	−	0.721502i	$-0.256548\pi$
$617$	25.6220	+	5.44612i	1.03150	+	0.219252i	0.339089	+	0.940754i	$0.389881\pi$
$618$	−11.1426	−	21.4201i	−0.448221	−	0.861644i
$619$		−	39.5108i		−	1.58807i	−0.607869	−	0.794037i	$-0.707975\pi$
$619$		−	39.5108i		−	1.58807i	0.607869	−	0.794037i	$-0.292025\pi$
$620$	4.15842	−	11.7349i	0.167006	−	0.471284i
$621$	3.70831	+	3.52529i	0.148809	+	0.141465i
$622$	23.4309	+	7.61316i	0.939493	+	0.305260i
$623$	0.880405	−	4.14198i	0.0352727	−	0.165945i
$624$	1.25381	+	7.50606i	0.0501926	+	0.300483i
$625$	−23.5067	+	8.51090i	−0.940268	+	0.340436i
$626$	−0.206338	+	0.357389i	−0.00824694	+	0.0142841i
$627$	−14.2273	−	5.32415i	−0.568184	−	0.212626i
$628$	−3.32516	−	4.57670i	−0.132688	−	0.182630i
$629$	−0.0376668	+	0.0846009i	−0.00150187	+	0.00337326i
$630$	3.85602	+	5.95090i	0.153627	+	0.237090i
$631$	33.8981	+	3.56284i	1.34946	+	0.141834i	0.751523	−	0.659707i	$-0.229320\pi$
$631$	33.8981	+	3.56284i	1.34946	+	0.141834i	0.597940	+	0.801541i	$0.295986\pi$
$632$	0.937052	−	0.843726i	0.0372739	−	0.0335616i
$633$	−25.8073	+	1.57081i	−1.02575	+	0.0624340i
$634$	−2.09606	−	19.9427i	−0.0832452	−	0.792025i
$635$	−6.63900	+	5.18245i	−0.263461	+	0.205659i
$636$	4.12348	+	2.05741i	0.163506	+	0.0815815i
$637$	2.70167	+	25.7047i	0.107044	+	1.01846i
$638$	12.1879	−	13.5360i	0.482524	−	0.535897i
$639$	9.90306	+	10.6323i	0.391759	+	0.420607i
$640$	−2.16987	+	0.540040i	−0.0857718	+	0.0213469i
$641$	−29.3208	+	6.23232i	−1.15810	+	0.246162i	−0.746616	−	0.665255i	$-0.768323\pi$
$641$	−29.3208	+	6.23232i	−1.15810	+	0.246162i	−0.411485	+	0.911417i	$0.634990\pi$
$642$	11.4926	+	29.2008i	0.453576	+	1.15246i
$643$	−22.8555	+	16.6055i	−0.901332	+	0.654856i	−0.938808	−	0.344442i	$-0.888068\pi$
$643$	−22.8555	+	16.6055i	−0.901332	+	0.654856i	0.0374759	+	0.999298i	$0.488068\pi$
$644$	0.950883	−	0.423360i	0.0374700	−	0.0166827i
$645$	19.1136	+	26.8369i	0.752598	+	1.05670i
$646$	−0.0443148	+	0.0255852i	−0.00174354	+	0.00100664i
$647$	−6.56067	+	9.02998i	−0.257926	+	0.355005i	−0.918268	−	0.395960i	$-0.870412\pi$
$647$	−6.56067	+	9.02998i	−0.257926	+	0.355005i	0.660341	+	0.750966i	$0.270412\pi$
$648$	−8.86142	−	1.57328i	−0.348110	−	0.0618042i
$649$	−47.2573	−	15.3548i	−1.85501	−	0.602729i
$650$	−16.8406	+	14.1068i	−0.660544	+	0.553314i
$651$	−4.14540	−	9.31301i	−0.162471	−	0.365005i
$652$		−	0.102726i		−	0.00402305i
$653$	3.17369	−	9.76761i	0.124196	−	0.382236i	−0.869558	−	0.493831i	$-0.835596\pi$
$653$	3.17369	−	9.76761i	0.124196	−	0.382236i	0.993754	+	0.111595i	$0.0355960\pi$
$654$	11.4614	+	17.3273i	0.448175	+	0.677553i
$655$	15.4850	+	4.44731i	0.605049	+	0.173771i
$656$	7.50771	−	4.33458i	0.293127	−	0.169237i
$657$	15.5238	+	8.61694i	0.605640	+	0.336179i
$658$	4.92265	+	11.0565i	0.191905	+	0.431025i
$659$	−17.1561	−	23.6134i	−0.668308	−	0.919847i	0.331412	−	0.943486i	$-0.392475\pi$
$659$	−17.1561	−	23.6134i	−0.668308	−	0.919847i	−0.999721	+	0.0236387i	$0.992475\pi$
$660$	−16.2180	+	14.3278i	−0.631285	+	0.557709i
$661$	22.7086	−	4.82686i	0.883261	−	0.187743i	0.256117	−	0.966646i	$-0.417557\pi$
$661$	22.7086	−	4.82686i	0.883261	−	0.187743i	0.627145	+	0.778903i	$0.284224\pi$
$662$	6.77162	+	0.711726i	0.263187	+	0.0276620i
$663$	0.247848	+	0.0108945i	0.00962563	+	0.000423106i
$664$	−6.21754	−	5.59830i	−0.241287	−	0.217256i
$665$	−1.62500	−	3.33531i	−0.0630148	−	0.129338i
$666$	8.05948	−	2.76979i	0.312299	−	0.107327i
$667$	3.05281	−	0.991918i	0.118205	−	0.0384072i
$668$	17.3159	−	1.81997i	0.669971	−	0.0704168i
$669$	5.27447	−	0.321041i	0.203923	−	0.0124121i
$670$	−11.5253	−	6.13433i	−0.445261	−	0.236990i
$671$	−1.39183	−	0.146287i	−0.0537310	−	0.00564736i
$672$	−0.984189	+	1.54386i	−0.0379659	+	0.0595558i
$673$	−6.95102	−	3.09479i	−0.267942	−	0.119295i	0.268368	−	0.963316i	$-0.413516\pi$
$673$	−6.95102	−	3.09479i	−0.267942	−	0.119295i	−0.536310	+	0.844021i	$0.680182\pi$
$674$	29.1904	−	21.2081i	1.12437	−	0.816905i
$675$	−9.05662	−	24.3511i	−0.348590	−	0.937275i
$676$	−3.15217	+	5.45972i	−0.121237	+	0.209989i
$677$	−35.8294	+	20.6861i	−1.37704	+	0.795032i	−0.991802	−	0.127787i	$-0.959213\pi$
$677$	−35.8294	+	20.6861i	−1.37704	+	0.795032i	−0.385234	+	0.922819i	$0.625879\pi$
$678$	−0.470705	−	2.81792i	−0.0180773	−	0.108222i
$679$	5.67506	+	1.20627i	0.217789	+	0.0462924i
$680$	0.00251333	+	0.0728524i	9.63818e−5	+	0.00279376i
$681$	28.7677	+	28.2866i	1.10238	+	1.08395i
$682$	26.2346	−	16.7208i	1.00458	−	0.640272i
$683$	23.9923			0.918040			0.459020	−	0.888426i	$-0.348201\pi$
$683$	23.9923			0.918040			0.459020	+	0.888426i	$0.348201\pi$
$684$	4.50236	+	1.37941i	0.172152	+	0.0527432i
$685$	−17.8116	+	2.49560i	−0.680545	+	0.0953520i
$686$	−8.00430	+	11.0170i	−0.305606	+	0.420630i
$687$	−20.9537	−	5.42558i	−0.799433	−	0.206999i
$688$	−4.25353	+	7.36733i	−0.162164	+	0.280877i
$689$	4.75462	+	10.6791i	0.181137	+	0.406840i
$690$	−3.73764	+	0.757645i	−0.142290	+	0.0288431i
$691$	−2.00585	−	0.893063i	−0.0763062	−	0.0339737i	0.368229	−	0.929735i	$-0.379964\pi$
$691$	−2.00585	−	0.893063i	−0.0763062	−	0.0339737i	−0.444535	+	0.895762i	$0.646631\pi$
$692$	−6.96713	+	1.48091i	−0.264851	+	0.0562957i
$693$	−1.55473	+	17.6508i	−0.0590592	+	0.670499i
$694$	−19.4420	+	17.5057i	−0.738009	+	0.664506i
$695$	17.0107	−	42.0519i	0.645252	−	1.59512i
$696$	−3.51616	+	4.41774i	−0.133280	+	0.167454i
$697$	−0.0873326	−	0.268782i	−0.00330796	−	0.0101808i
$698$	−3.11573	−	9.58923i	−0.117932	−	0.362958i
$699$	−27.1123	+	34.0642i	−1.02548	+	1.28843i
$700$	−5.28193	−	0.188905i	−0.199638	−	0.00713996i
$701$	−32.2964	+	29.0798i	−1.21982	+	1.09833i	−0.227609	+	0.973753i	$0.573091\pi$
$701$	−32.2964	+	29.0798i	−1.21982	+	1.09833i	−0.992210	+	0.124578i	$0.960242\pi$
$702$	−14.8117	−	17.3733i	−0.559030	−	0.655713i
$703$	−4.36148	+	0.927061i	−0.164496	+	0.0349648i
$704$	−5.10447	−	2.27266i	−0.192382	−	0.0856540i
$705$	−8.80957	−	43.4597i	−0.331788	−	1.63679i
$706$	−9.26138	−	20.8014i	−0.348557	−	0.782871i
$707$	−6.30401	+	10.9189i	−0.237087	+	0.410646i
$708$	14.9111	+	3.86097i	0.560394	+	0.145104i
$709$	−2.81846	+	3.87927i	−0.105849	+	0.145689i	−0.858656	−	0.512553i	$-0.828700\pi$
$709$	−2.81846	+	3.87927i	−0.105849	+	0.145689i	0.752806	+	0.658242i	$0.228700\pi$
$710$	−10.7251	+	1.50271i	−0.402507	+	0.0563958i
$711$	−1.10811	+	3.61684i	−0.0415574	+	0.135642i
$712$	−4.00593			−0.150128
$713$	5.47721	−	0.240257i	0.205123	−	0.00899769i
$714$	0.0425593	+	0.0418476i	0.00159274	+	0.00156611i
$715$	−54.8624	+	1.89270i	−2.05174	+	0.0707828i
$716$	20.5657	+	4.37138i	0.768577	+	0.163366i
$717$	−2.11636	−	12.6698i	−0.0790368	−	0.473162i
$718$	14.4006	−	8.31419i	0.537426	−	0.310283i
$719$	6.78818	−	11.7575i	0.253156	−	0.438480i	−0.711237	−	0.702953i	$-0.751865\pi$
$719$	6.78818	−	11.7575i	0.253156	−	0.438480i	0.964393	+	0.264473i	$0.0851979\pi$
$720$	4.74821	−	4.73862i	0.176955	−	0.176598i
$721$	11.9213	−	8.66135i	0.443973	−	0.322565i
$722$	15.1066	+	6.72589i	0.562209	+	0.250312i
$723$	−13.1794	+	20.6741i	−0.490148	+	0.768878i
$724$	−2.09980	−	0.220698i	−0.0780386	−	0.00820218i
$725$	−16.1387	−	2.28201i	−0.599376	−	0.0847519i
$726$	−34.9585	+	2.12781i	−1.29743	+	0.0789705i
$727$	10.8327	−	1.13857i	0.401764	−	0.0422271i	0.0985079	−	0.995136i	$-0.468593\pi$
$727$	10.8327	−	1.13857i	0.401764	−	0.0422271i	0.303256	+	0.952909i	$0.401926\pi$
$728$	−4.41707	+	1.43519i	−0.163708	+	0.0531918i
$729$	25.2237	−	9.63136i	0.934213	−	0.356717i
$730$	−11.8969	+	5.79630i	−0.440324	+	0.214531i
$731$	0.206096	+	0.185570i	0.00762275	+	0.00686355i
$732$	0.433404	+	0.0190508i	0.0160191	+	0.000704136i
$733$	−14.9338	−	1.56960i	−0.551591	−	0.0579746i	−0.175367	−	0.984503i	$-0.556111\pi$
$733$	−14.9338	−	1.56960i	−0.551591	−	0.0579746i	−0.376224	+	0.926529i	$0.622778\pi$
$734$	−10.9686	+	2.33146i	−0.404860	+	0.0860556i
$735$	17.0745	−	15.0844i	0.629802	−	0.556398i
$736$	−0.578782	−	0.796625i	−0.0213342	−	0.0293640i
$737$	−13.2698	−	29.8044i	−0.488798	−	1.09786i
$738$	−12.6221	+	22.7392i	−0.464625	+	0.837042i
$739$	15.8027	−	9.12371i	0.581313	−	0.335621i	−0.180342	−	0.983604i	$-0.557721\pi$
$739$	15.8027	−	9.12371i	0.581313	−	0.335621i	0.761655	+	0.647983i	$0.224387\pi$
$740$	−1.75343	+	6.10523i	−0.0644574	+	0.224433i
$741$	6.59000	+	9.96278i	0.242090	+	0.365992i
$742$	−0.869077	+	2.67474i	−0.0319048	+	0.0981930i
$743$		−	2.07548i		−	0.0761419i	−0.999275	−	0.0380710i	$-0.987879\pi$
$743$		−	2.07548i		−	0.0761419i	0.999275	−	0.0380710i	$-0.0121213\pi$
$744$	−7.80239	+	5.66768i	−0.286050	+	0.207787i
$745$	−15.5785	+	5.66269i	−0.570754	+	0.207465i
$746$	11.4590	+	3.72325i	0.419543	+	0.136318i
$747$	24.6356	+	4.80374i	0.901369	+	0.175760i
$748$	−0.107067	+	0.147365i	−0.00391477	+	0.00538821i
$749$	−16.5858	+	9.57584i	−0.606033	+	0.349893i
$750$	18.7405	+	4.87780i	0.684307	+	0.178112i
$751$	−14.9351	+	6.64954i	−0.544990	+	0.242645i	−0.660716	−	0.750636i	$-0.729747\pi$
$751$	−14.9351	+	6.64954i	−0.544990	+	0.242645i	0.115726	+	0.993281i	$0.463081\pi$
$752$	9.26281	−	6.72983i	0.337780	−	0.245411i
$753$	−17.7461	−	45.0900i	−0.646704	−	1.64317i
$754$	−14.0097	+	2.97786i	−0.510203	+	0.108447i
$755$	−7.60523	−	30.5578i	−0.276783	−	1.11211i
$756$	0.148635	−	5.49065i	0.00540579	−	0.199693i
$757$	10.0909	−	11.2071i	0.366759	−	0.407327i	−0.531313	−	0.847176i	$-0.678301\pi$
$757$	10.0909	−	11.2071i	0.366759	−	0.407327i	0.898072	+	0.439848i	$0.144968\pi$
$758$	3.14994	+	29.9697i	0.114411	+	1.08855i
$759$	−8.52717	−	4.25463i	−0.309517	−	0.154433i
$760$	−2.76670	+	2.15970i	−0.100359	+	0.0783407i
$761$	1.45062	+	13.8017i	0.0525849	+	0.500312i	0.988839	+	0.148988i	$0.0476016\pi$
$761$	1.45062	+	13.8017i	0.0525849	+	0.500312i	−0.936254	+	0.351324i	$0.885732\pi$
$762$	6.51179	−	0.396352i	0.235897	−	0.0143583i
$763$	−9.42224	+	8.48382i	−0.341108	+	0.307135i
$764$	−25.9151	−	2.72378i	−0.937575	−	0.0985431i
$765$	−0.118920	−	0.183527i	−0.00429957	−	0.00663542i
$766$	−6.97756	+	15.6718i	−0.252109	+	0.566247i
$767$	22.9661	+	31.6101i	0.829258	+	1.14138i
$768$	1.62219	+	0.607055i	0.0585356	+	0.0219052i
$769$	−21.8809	+	37.8988i	−0.789044	+	1.36666i	0.137509	+	0.990500i	$0.456090\pi$
$769$	−21.8809	+	37.8988i	−0.789044	+	1.36666i	−0.926553	+	0.376164i	$0.877243\pi$
$770$	−10.1136	−	8.49360i	−0.364470	−	0.306088i
$771$	5.63013	+	33.7053i	0.202764	+	1.21387i
$772$	−1.89534	+	8.91686i	−0.0682146	+	0.320925i
$773$	−1.37625	−	0.447171i	−0.0495003	−	0.0160836i	0.284162	−	0.958776i	$-0.408285\pi$
$773$	−1.37625	−	0.447171i	−0.0495003	−	0.0160836i	−0.333662	+	0.942693i	$0.608285\pi$
$774$	−0.430368	−	25.5176i	−0.0154693	−	0.917210i
$775$	−25.5228	−	11.1170i	−0.916805	−	0.399335i
$776$		−	5.48864i		−	0.197031i
$777$	2.40021	+	4.61407i	0.0861070	+	0.165529i
$778$	−15.1760	−	3.22576i	−0.544086	−	0.115649i
$779$	7.99829	−	11.0087i	0.286568	−	0.394427i
$780$	16.9394	−	1.61884i	0.606529	−	0.0579638i
$781$	−23.4364	−	13.5310i	−0.838620	−	0.484178i
$782$	−0.0293254	+	0.0130565i	−0.00104867	+	0.000466899i
$783$	2.22578	−	16.7918i	0.0795430	−	0.600090i
$784$	5.37404	+	2.39268i	0.191930	+	0.0854527i
$785$	−10.7304	+	6.69879i	−0.382983	+	0.239090i
$786$	−7.93511	−	9.63184i	−0.283036	−	0.343556i
$787$	8.53965	+	9.48424i	0.304405	+	0.338077i	0.875867	−	0.482552i	$-0.160290\pi$
$787$	8.53965	+	9.48424i	0.304405	+	0.338077i	−0.571462	+	0.820629i	$0.693623\pi$
$788$	4.46063	+	4.01637i	0.158904	+	0.143077i
$789$	−30.9803	−	24.6577i	−1.10293	−	0.877839i
$790$	−1.73493	−	2.22254i	−0.0617262	−	0.0790746i
$791$	1.65825	−	0.538799i	0.0589607	−	0.0191575i
$792$	16.6389	−	2.03305i	0.591237	−	0.0722411i
$793$	0.817809	+	0.736358i	0.0290412	+	0.0261489i
$794$	25.3040	−	22.7838i	0.898005	−	0.808567i
$795$	5.23621	−	8.87479i	0.185709	−	0.314756i
$796$	0.243400	+	1.14510i	0.00862707	+	0.0405872i
$797$	4.01693	−	9.02218i	0.142287	−	0.319582i	−0.828319	−	0.560257i	$-0.810702\pi$
$797$	4.01693	−	9.02218i	0.142287	−	0.319582i	0.970606	+	0.240675i	$0.0773689\pi$
$798$	−0.425618	+	2.84215i	−0.0150667	+	0.100611i
$799$	−0.151815	−	0.340983i	−0.00537084	−	0.0120631i
$800$	0.864091	+	4.92477i	0.0305502	+	0.174117i
$801$	10.3049	−	6.18354i	0.364106	−	0.218485i
$802$	−22.3362	−	16.2282i	−0.788717	−	0.573036i
$803$	−32.3463	−	6.87541i	−1.14148	−	0.242628i
$804$	4.66713	+	8.97192i	0.164597	+	0.316415i
$805$	−0.795116	−	2.18743i	−0.0280242	−	0.0770968i
$806$	−24.4176	−	1.48846i	−0.860073	−	0.0524287i
$807$	−6.83230	−	6.71804i	−0.240508	−	0.236486i
$808$	11.3436	+	3.68577i	0.399068	+	0.129665i
$809$	24.6775	+	5.24537i	0.867616	+	0.184417i	0.620154	−	0.784480i	$-0.287070\pi$
$809$	24.6775	+	5.24537i	0.867616	+	0.184417i	0.247462	+	0.968898i	$0.420404\pi$
$810$	−4.89982	+	19.5190i	−0.172162	+	0.685828i
$811$	20.3669	+	35.2765i	0.715179	+	1.23873i	0.962891	+	0.269892i	$0.0869880\pi$
$811$	20.3669	+	35.2765i	0.715179	+	1.23873i	−0.247712	+	0.968834i	$0.579679\pi$
$812$	−2.98420	−	1.72293i	−0.104725	−	0.0604630i
$813$	6.26035	−	16.7290i	0.219560	−	0.586713i
$814$	−12.8412	+	9.32969i	−0.450085	+	0.327006i
$815$	−0.229136	−	0.0161197i	−0.00802627	−	0.000564650i
$816$	0.0303525	−	0.0476130i	0.00106255	−	0.00166679i
$817$	−1.39578	+	13.2799i	−0.0488320	+	0.464605i
$818$	−17.5543	+	15.8059i	−0.613771	+	0.552642i
$819$	9.14716	−	10.5101i	0.319628	−	0.367252i
$820$	−8.49041	−	17.4265i	−0.296498	−	0.608561i
$821$	9.15029	+	28.1617i	0.319347	+	0.982850i	0.973928	+	0.226858i	$0.0728453\pi$
$821$	9.15029	+	28.1617i	0.319347	+	0.982850i	−0.654580	+	0.755992i	$0.727155\pi$
$822$	12.4660	+	6.21990i	0.434801	+	0.216944i
$823$	−2.61305	−	24.8615i	−0.0910853	−	0.866619i	−0.940706	−	0.339224i	$-0.889836\pi$
$823$	−2.61305	−	24.8615i	−0.0910853	−	0.866619i	0.849620	−	0.527395i	$-0.176831\pi$
$824$	−10.3595	−	9.32775i	−0.360891	−	0.324948i
$825$	29.4140	+	38.4235i	1.02406	+	1.33773i
$826$	−0.982599	+	9.34881i	−0.0341890	+	0.325287i
$827$	−7.92081	−	37.2645i	−0.275434	−	1.29581i	−0.870513	−	0.492146i	$-0.836213\pi$
$827$	−7.92081	−	37.2645i	−0.275434	−	1.29581i	0.595079	−	0.803667i	$-0.297121\pi$
$828$	2.71853	+	1.15584i	0.0944756	+	0.0401682i
$829$	16.6094	+	22.8609i	0.576870	+	0.793993i	0.993348	−	0.115153i	$-0.0367358\pi$
$829$	16.6094	+	22.8609i	0.576870	+	0.793993i	−0.416478	+	0.909146i	$0.636736\pi$
$830$	−13.4630	+	12.9901i	−0.467306	+	0.450892i
$831$	25.3400	−	7.01936i	0.879034	−	0.243499i
$832$	2.19684	+	3.80503i	0.0761616	+	0.131916i
$833$	0.112721	−	0.155148i	0.00390557	−	0.00537555i
$834$	−29.3063	+	19.3850i	−1.01479	+	0.671247i
$835$	−1.34234	−	38.9096i	−0.0464536	−	1.34652i
$836$	−8.77046			−0.303333
$837$	11.3223	−	26.6234i	0.391357	−	0.920239i
$838$			23.3764i			0.807525i
$839$	2.63350	+	0.855677i	0.0909187	+	0.0295413i	0.354123	−	0.935199i	$-0.384779\pi$
$839$	2.63350	+	0.855677i	0.0909187	+	0.0295413i	−0.263204	+	0.964740i	$0.584779\pi$
$840$	3.28923	+	2.43755i	0.113489	+	0.0841035i
$841$	14.8644	+	10.7996i	0.512565	+	0.372400i
$842$	19.1226	+	33.1214i	0.659010	+	1.14144i
$843$	−4.17963	−	15.0885i	−0.143954	−	0.519676i
$844$	−13.6369	+	6.07152i	−0.469400	+	0.208990i
$845$	11.6836	+	7.88783i	0.401927	+	0.271349i
$846$	−13.4396	+	31.6099i	−0.462063	+	1.08677i
$847$	−4.44400	−	20.9074i	−0.152698	−	0.718386i
$848$	2.64600	+	0.278106i	0.0908640	+	0.00955019i
$849$	36.4437	+	1.60193i	1.25075	+	0.0549780i
$850$	0.162896	+	0.00582587i	0.00558728	+	0.000199826i
$851$	−2.78188	+	0.292387i	−0.0953616	+	0.0100229i
$852$	7.50633	+	3.74528i	0.257162	+	0.128311i
$853$	11.7355	−	3.81311i	0.401818	−	0.130558i	−0.101135	−	0.994873i	$-0.532247\pi$
$853$	11.7355	−	3.81311i	0.401818	−	0.130558i	0.502952	+	0.864314i	$0.332247\pi$
$854$	0.0276749	+	0.263309i	0.000947016	+	0.00901025i
$855$	3.78337	−	9.82631i	0.129388	−	0.336053i
$856$	12.1232	+	13.4642i	0.414362	+	0.460196i
$857$	0.132213	−	1.25792i	0.00451630	−	0.0429697i	−0.992032	−	0.125989i	$-0.959790\pi$
$857$	0.132213	−	1.25792i	0.00451630	−	0.0429697i	0.996548	+	0.0830192i	$0.0264563\pi$
$858$	35.8556	+	22.8574i	1.22409	+	0.780338i
$859$	14.9730	−	33.6299i	0.510872	−	1.14744i	−0.455488	−	0.890242i	$-0.650535\pi$
$859$	14.9730	−	33.6299i	0.510872	−	1.14744i	0.966360	−	0.257195i	$-0.0827982\pi$
$860$	15.7658	+	10.6438i	0.537609	+	0.362951i
$861$	−14.8654	−	5.56295i	−0.506613	−	0.189585i
$862$	−12.4603	−	7.19396i	−0.424400	−	0.245027i
$863$	22.2948	−	12.8719i	0.758923	−	0.438165i	−0.0699858	−	0.997548i	$-0.522295\pi$
$863$	22.2948	−	12.8719i	0.758923	−	0.438165i	0.828909	+	0.559383i	$0.188962\pi$
$864$	−5.10998	+	0.942407i	−0.173845	+	0.0320613i
$865$	2.20997	+	15.7730i	0.0751412	+	0.536296i
$866$	−8.23904	+	25.3572i	−0.279974	+	0.861671i
$867$	20.9942	+	20.6431i	0.712999	+	0.701076i
$868$	−4.12604	−	4.19698i	−0.140047	−	0.142455i
$869$		−	7.04549i		−	0.239002i
$870$	9.30226	+	8.53621i	0.315376	+	0.289405i
$871$	−5.33379	+	25.0935i	−0.180728	+	0.850260i
$872$	9.70371	+	7.05016i	0.328609	+	0.238748i
$873$	8.47226	+	14.1191i	0.286743	+	0.477858i
$874$	−1.33853	−	0.772801i	−0.0452765	−	0.0261404i
$875$	−1.25021	+	11.7520i	−0.0422646	+	0.397290i
$876$	10.1378	+	1.51816i	0.342525	+	0.0512938i
$877$	2.39384	−	5.37665i	0.0808342	−	0.181557i	−0.868607	−	0.495502i	$-0.834984\pi$
$877$	2.39384	−	5.37665i	0.0808342	−	0.181557i	0.949441	+	0.313945i	$0.101651\pi$
$878$	−34.5806	+	7.35034i	−1.16704	+	0.248062i
$879$	−19.2761	+	15.8804i	−0.650166	+	0.535633i
$880$	−5.87028	+	11.0292i	−0.197887	+	0.371794i
$881$	−18.7047	+	20.7737i	−0.630178	+	0.699884i	−0.970684	−	0.240359i	$-0.922735\pi$
$881$	−18.7047	+	20.7737i	−0.630178	+	0.699884i	0.340506	+	0.940242i	$0.389402\pi$
$882$	−17.5176	+	2.14041i	−0.589848	+	0.0720713i
$883$	8.94576	+	27.5322i	0.301049	+	0.926533i	0.981122	+	0.193389i	$0.0619479\pi$
$883$	8.94576	+	27.5322i	0.301049	+	0.926533i	−0.680073	+	0.733144i	$0.738052\pi$
$884$	0.136223	−	0.0442616i	0.00458168	−	0.00148868i
$885$	10.9520	−	32.6542i	0.368146	−	1.09766i
$886$	4.98175	−	5.53279i	0.167365	−	0.185878i
$887$	−16.9225	−	18.7943i	−0.568201	−	0.631052i	0.388735	−	0.921350i	$-0.372912\pi$
$887$	−16.9225	−	18.7943i	−0.568201	−	0.631052i	−0.956936	+	0.290298i	$0.906246\pi$
$888$	3.79752	−	3.12855i	0.127436	−	0.104987i
$889$	0.827794	+	3.89446i	0.0277633	+	0.130616i
$890$	−0.628610	+	8.93544i	−0.0210711	+	0.299517i
$891$	−39.6639	+	30.9136i	−1.32879	+	1.03564i
$892$	2.78709	−	1.24089i	0.0933188	−	0.0415482i
$893$	8.98579	−	15.5639i	0.300698	−	0.520824i
$894$	12.4296	+	3.21843i	0.415709	+	0.107640i
$895$	12.9778	−	45.1870i	0.433799	−	1.51044i
$896$	−0.219776	+	1.03396i	−0.00734219	+	0.0345423i
$897$	3.45815	+	6.64783i	0.115464	+	0.221965i
$898$	−14.7617			−0.492606
$899$	−11.3016	−	14.2021i	−0.376928	−	0.473666i
$900$	−9.82466	−	11.3347i	−0.327489	−	0.377824i
$901$	0.0268025	−	0.0824895i	0.000892920	−	0.00274813i
$902$	10.0711	−	47.3808i	0.335331	−	1.57761i
$903$	15.3626	−	2.56617i	0.511236	−	0.0853967i
$904$	−0.824735	−	1.42848i	−0.0274303	−	0.0475106i
$905$	−0.821781	+	4.64909i	−0.0273169	+	0.154541i
$906$	−8.54899	+	22.8448i	−0.284021	+	0.758967i
$907$	20.8652	+	28.7184i	0.692816	+	0.953579i	0.999998	+	0.00192861i	$0.000613897\pi$
$907$	20.8652	+	28.7184i	0.692816	+	0.953579i	−0.307182	+	0.951651i	$0.599386\pi$
$908$	21.2794	+	9.47418i	0.706181	+	0.314412i
$909$	−34.8699	+	8.02870i	−1.15656	+	0.266295i
$910$	2.50815	+	10.0777i	0.0831444	+	0.334074i
$911$	18.2839	+	20.3063i	0.605772	+	0.672778i	0.965537	−	0.260265i	$-0.0838098\pi$
$911$	18.2839	+	20.3063i	0.605772	+	0.672778i	−0.359765	+	0.933043i	$0.617143\pi$
$912$	2.71368	−	0.165173i	0.0898590	−	0.00546943i
$913$	−46.4922	+	4.88653i	−1.53867	+	0.161721i
$914$	9.51504	+	29.2843i	0.314730	+	0.968638i
$915$	0.110503	−	0.963741i	0.00365313	−	0.0318603i
$916$	−12.4281	+	1.30625i	−0.410637	+	0.0431597i
$917$	5.09623	−	5.65993i	0.168292	−	0.186907i
$918$	−0.00458392	+	0.169332i	−0.000151292	+	0.00558880i
$919$	0.224075	−	2.13193i	0.00739155	−	0.0703259i	−0.990204	−	0.139626i	$-0.955410\pi$
$919$	0.224075	−	2.13193i	0.00739155	−	0.0703259i	0.997596	+	0.0693002i	$0.0220766\pi$
$920$	−1.86774	+	1.16600i	−0.0615775	+	0.0384418i
$921$	−53.6818	+	21.1275i	−1.76887	+	0.696176i
$922$	26.0934	−	18.9580i	0.859341	−	0.624348i
$923$	8.65526	+	19.4400i	0.284891	+	0.639877i
$924$	2.73098	+	9.85889i	0.0898428	+	0.324334i
$925$	13.3429	+	4.86916i	0.438712	+	0.160097i
$926$	−4.46303	−	3.24258i	−0.146664	−	0.106558i
$927$	41.0473	+	8.00388i	1.34817	+	0.262882i
$928$	−1.00735	+	3.10030i	−0.0330678	+	0.101772i
$929$	−1.54371			−0.0506473			−0.0253237	−	0.999679i	$-0.508062\pi$
$929$	−1.54371			−0.0506473			−0.0253237	+	0.999679i	$0.508062\pi$
$930$	11.4177	+	18.2930i	0.374402	+	0.599853i
$931$	9.23362			0.302620
$932$	−7.76743	+	23.9057i	−0.254431	+	0.783057i
$933$	−35.5905	+	23.5418i	−1.16518	+	0.770723i
$934$	−19.0574	−	13.8460i	−0.623577	−	0.453055i
$935$	0.311906	+	0.261944i	0.0102004	+	0.00856648i
$936$	−11.5246	−	6.39707i	−0.376693	−	0.209095i
$937$	−0.799364	−	1.79540i	−0.0261141	−	0.0586532i	0.900018	−	0.435854i	$-0.143553\pi$
$937$	−0.799364	−	1.79540i	−0.0261141	−	0.0586532i	−0.926132	+	0.377200i	$0.876887\pi$
$938$	−4.99330	+	3.62784i	−0.163037	+	0.118453i
$939$	−0.261771	−	0.665119i	−0.00854257	−	0.0217053i
$940$	−13.5577	−	21.7173i	−0.442204	−	0.708339i
$941$	0.0669443	−	0.636933i	0.00218232	−	0.0207634i	−0.993377	−	0.114904i	$-0.963344\pi$
$941$	0.0669443	−	0.636933i	0.00218232	−	0.0207634i	0.995559	+	0.0941411i	$0.0300105\pi$
$942$	9.78894	+	0.430284i	0.318941	+	0.0140194i
$943$	5.71194	−	6.34376i	0.186007	−	0.206581i
$944$	8.84414	−	0.929557i	0.287852	−	0.0302545i
$945$	−12.2239	−	1.19313i	−0.397642	−	0.0388125i
$946$	14.6887	+	45.2071i	0.477570	+	1.46981i
$947$	−25.9758	+	2.73016i	−0.844098	+	0.0887183i	−0.516698	−	0.856167i	$-0.672839\pi$
$947$	−25.9758	+	2.73016i	−0.844098	+	0.0887183i	−0.327400	+	0.944886i	$0.606172\pi$
$948$	0.132687	+	2.17996i	0.00430948	+	0.0708017i
$949$	17.3995	+	19.3241i	0.564812	+	0.627288i
$950$	4.38319	+	6.51017i	0.142209	+	0.211218i
$951$	29.2872	+	18.6701i	0.949701	+	0.605420i
$952$	0.0314809	+	0.0140162i	0.00102030	+	0.000454268i
$953$	−6.11182	−	8.41220i	−0.197981	−	0.272498i	0.698471	−	0.715639i	$-0.253864\pi$
$953$	−6.11182	−	8.41220i	−0.197981	−	0.272498i	−0.896452	+	0.443141i	$0.853864\pi$
$954$	−7.23589	+	3.36896i	−0.234270	+	0.109074i
$955$	−10.1421	+	57.3776i	−0.328192	+	1.85670i
$956$	−3.70813	−	6.42266i	−0.119929	−	0.207724i
$957$	5.19784	+	31.1174i	0.168022	+	1.00588i
$958$	7.31834	−	34.4301i	0.236445	−	1.11239i
$959$	−2.62737	+	8.08622i	−0.0848423	+	0.261118i
$960$	1.60862	−	3.52311i	0.0519181	−	0.113708i
$961$	−12.1243	−	28.5307i	−0.391106	−	0.920346i
$962$	12.4812			0.402409
$963$	−51.9691	−	15.9220i	−1.67468	−	0.513081i
$964$	−2.94305	+	13.8460i	−0.0947892	+	0.445948i
$965$	19.5921	+	5.62688i	0.630693	+	0.181136i
$966$	−0.451910	+	1.74528i	−0.0145400	+	0.0561536i
$967$	−3.52860	+	6.11172i	−0.113472	+	0.196540i	−0.917168	−	0.398501i	$-0.869531\pi$
$967$	−3.52860	+	6.11172i	−0.113472	+	0.196540i	0.803696	+	0.595040i	$0.202864\pi$
$968$	−18.4725	+	8.22447i	−0.593728	+	0.264345i
$969$	0.0131261	−	0.0876523i	0.000421672	−	0.00281580i
$970$	−12.2427	−	0.861278i	−0.393090	−	0.0276540i
$971$	3.22904	+	15.1914i	0.103625	+	0.487516i	0.999100	+	0.0424056i	$0.0135022\pi$
$971$	3.22904	+	15.1914i	0.103625	+	0.487516i	−0.895476	+	0.445110i	$0.853164\pi$
$972$	11.6903	−	10.3120i	0.374966	−	0.330758i
$973$	−14.3489	−	15.9361i	−0.460006	−	0.510889i
$974$	9.16648	−	10.1804i	0.293713	−	0.326201i
$975$	−0.952781	−	38.0384i	−0.0305134	−	1.21820i
$976$	0.238209	−	0.0773986i	0.00762487	−	0.00247747i
$977$	13.7068	+	42.1853i	0.438520	+	1.34963i	0.889436	+	0.457060i	$0.151098\pi$
$977$	13.7068	+	42.1853i	0.438520	+	1.34963i	−0.450915	+	0.892567i	$0.648902\pi$
$978$	0.139214	+	0.110803i	0.00445157	+	0.00354308i
$979$	−14.9773	+	16.6340i	−0.478678	+	0.531626i
$980$	6.18029	−	11.6116i	0.197422	−	0.370920i
$981$	−35.8446	−	3.15728i	−1.14443	−	0.100804i
$982$	26.7508	−	5.68606i	0.853653	−	0.181450i
$983$	24.0439	−	54.0035i	0.766882	−	1.72245i	0.0787098	−	0.996898i	$-0.474920\pi$
$983$	24.0439	−	54.0035i	0.766882	−	1.72245i	0.688172	−	0.725547i	$-0.258413\pi$
$984$	−2.22380	+	14.8498i	−0.0708920	+	0.473395i
$985$	9.65870	−	9.31944i	0.307752	−	0.296942i
$986$	0.0920333	+	0.0531354i	0.00293094	+	0.00169218i
$987$	−20.2934	−	5.25461i	−0.645946	−	0.167256i
$988$	5.57939	+	4.05366i	0.177504	+	0.128964i
$989$	−1.74163	+	8.19370i	−0.0553805	+	0.260545i
$990$	−1.92385	−	37.4330i	−0.0611438	−	1.18970i
$991$		−	50.2400i		−	1.59593i	−0.602705	−	0.797964i	$-0.705911\pi$
$991$		−	50.2400i		−	1.59593i	0.602705	−	0.797964i	$-0.294089\pi$
$992$	−3.07211	+	4.64350i	−0.0975396	+	0.147431i
$993$	−8.26858	+	8.40921i	−0.262395	+	0.266858i
$994$	−1.58206	+	4.86907i	−0.0501798	+	0.154438i
$995$	2.59241	−	0.363226i	0.0821850	−	0.0115150i
$996$	14.2932	−	2.38753i	0.452898	−	0.0756519i
$997$	−22.5205	+	13.0022i	−0.713232	+	0.411785i	−0.812257	−	0.583300i	$-0.801761\pi$
$997$	−22.5205	+	13.0022i	−0.713232	+	0.411785i	0.0990244	+	0.995085i	$0.468428\pi$
$998$	−1.95633	−	1.12949i	−0.0619266	−	0.0357533i
$999$	−4.93955	+	13.9098i	−0.156281	+	0.440086i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.239.11	yes	256
3.2	odd	2		930.2.bo.a.239.6	yes	256
5.4	even	2		930.2.bo.a.239.22	yes	256
15.14	odd	2	inner	930.2.bo.b.239.27	yes	256
31.24	odd	30	inner	930.2.bo.b.179.27	yes	256
93.86	even	30		930.2.bo.a.179.22	yes	256
155.24	odd	30		930.2.bo.a.179.6	✓	256
465.179	even	30	inner	930.2.bo.b.179.11	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.6	✓	256	155.24	odd	30
930.2.bo.a.179.22	yes	256	93.86	even	30
930.2.bo.a.239.6	yes	256	3.2	odd	2
930.2.bo.a.239.22	yes	256	5.4	even	2
930.2.bo.b.179.11	yes	256	465.179	even	30	inner
930.2.bo.b.179.27	yes	256	31.24	odd	30	inner
930.2.bo.b.239.11	yes	256	1.1	even	1	trivial
930.2.bo.b.239.27	yes	256	15.14	odd	2	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)

\(f(q)\)	\(=\)	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.955557 - 1.44461i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.43804 + 1.71232i) q^{5} +(1.66919 - 0.462379i) q^{6} +(0.429946 + 0.965674i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.17382 + 2.76082i) q^{9} +O(q^{10})\)	\(q+(-0.309017 + 0.951057i) q^{2} +(-0.955557 - 1.44461i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.43804 + 1.71232i) q^{5} +(1.66919 - 0.462379i) q^{6} +(0.429946 + 0.965674i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.17382 + 2.76082i) q^{9} +(-1.18414 - 1.89679i) q^{10} +(0.584057 - 5.55693i) q^{11} +(-0.0760609 + 1.73038i) q^{12} +(-2.93994 + 3.26513i) q^{13} +(-1.05127 + 0.110493i) q^{14} +(3.84777 + 0.441189i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.0324214 - 0.00340762i) q^{17} +(-2.26297 - 1.96951i) q^{18} +(1.05030 + 1.16647i) q^{19} +(2.16987 - 0.540040i) q^{20} +(0.984189 - 1.54386i) q^{21} +(5.10447 + 2.27266i) q^{22} +(0.578782 + 0.796625i) q^{23} +(-1.62219 - 0.607055i) q^{24} +(-0.864091 - 4.92477i) q^{25} +(-2.19684 - 3.80503i) q^{26} +(5.10998 - 0.942407i) q^{27} +(0.219776 - 1.03396i) q^{28} +(1.00735 - 3.10030i) q^{29} +(-1.60862 + 3.52311i) q^{30} +(3.07211 - 4.64350i) q^{31} -1.00000 q^{32} +(-8.58573 + 4.46623i) q^{33} +(-0.00677791 + 0.0318876i) q^{34} +(-2.27182 - 0.652471i) q^{35} +(2.57241 - 1.54360i) q^{36} +(-1.42036 + 2.46013i) q^{37} +(-1.43394 + 0.638432i) q^{38} +(7.52614 + 1.12706i) q^{39} +(-0.156920 + 2.23056i) q^{40} +(-1.80242 - 8.47972i) q^{41} +(1.16417 + 1.41310i) q^{42} +(5.69234 + 6.32198i) q^{43} +(-3.73880 + 4.15235i) q^{44} +(-3.03942 - 5.98013i) q^{45} +(-0.936489 + 0.304284i) q^{46} +(-3.53808 - 10.8891i) q^{47} +(1.07863 - 1.35520i) q^{48} +(3.93624 - 4.37164i) q^{49} +(4.95075 + 0.700037i) q^{50} +(-0.0359032 - 0.0435802i) q^{51} +(4.29766 - 0.913495i) q^{52} +(1.08215 - 2.43056i) q^{53} +(-0.682788 + 5.15110i) q^{54} +(8.67536 + 8.99118i) q^{55} +(0.915443 + 0.528531i) q^{56} +(0.681485 - 2.63191i) q^{57} +(2.63727 + 1.91609i) q^{58} +(1.84893 - 8.69853i) q^{59} +(-2.85359 - 2.61859i) q^{60} -0.250467i q^{61} +(3.46690 + 4.35667i) q^{62} +(-3.17074 + 0.0534763i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-1.36321 - 9.72951i) q^{65} +(-1.59450 - 9.54565i) q^{66} +(5.05661 - 2.91944i) q^{67} +(-0.0282324 - 0.0163000i) q^{68} +(0.597756 - 1.59734i) q^{69} +(1.32257 - 1.95901i) q^{70} +(1.96994 - 4.42456i) q^{71} +(0.673130 + 2.92351i) q^{72} +(0.618634 - 5.88591i) q^{73} +(-1.90081 - 2.11106i) q^{74} +(-6.28870 + 5.95418i) q^{75} +(-0.164073 - 1.56105i) q^{76} +(5.61730 - 1.82517i) q^{77} +(-3.39760 + 6.80950i) q^{78} +(1.25402 - 0.131803i) q^{79} +(-2.07289 - 0.838519i) q^{80} +(-6.24429 - 6.48142i) q^{81} +(8.62167 + 0.906174i) q^{82} +(-1.73950 - 8.18370i) q^{83} +(-1.70369 + 0.670520i) q^{84} +(-0.0407882 + 0.0604161i) q^{85} +(-7.77159 + 3.46013i) q^{86} +(-5.44131 + 1.50728i) q^{87} +(-2.79377 - 4.83895i) q^{88} +(-3.24086 - 2.35462i) q^{89} +(6.62667 - 1.04270i) q^{90} +(-4.41707 - 1.43519i) q^{91} -0.984682i q^{92} +(-9.64365 - 0.000879429i) q^{93} +11.4495 q^{94} +(-3.50775 + 0.121014i) q^{95} +(0.955557 + 1.44461i) q^{96} +(3.22614 - 4.44041i) q^{97} +(2.94131 + 5.09450i) q^{98} +(14.6561 + 8.13532i) 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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