LMFDB - Embedded newform 572.2.bm.a.35.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(35,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 3, 20]))

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

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

chi := DirichletCharacter("572.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bm (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:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			35.7
Character	$\chi$	$=$	572.35
Dual form			572.2.bm.a.523.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.35772 - 0.395706i) q^{2} +(-0.705374 + 0.0741378i) q^{3} +(1.68683 + 1.07452i) q^{4} +(-1.19366 - 3.67372i) q^{5} +(0.987040 + 0.178462i) q^{6} +(0.389527 - 3.70610i) q^{7} +(-1.86506 - 2.12639i) q^{8} +(-2.44239 + 0.519145i) q^{9} +O(q^{10})$	\(q+(-1.35772 - 0.395706i) q^{2} +(-0.705374 + 0.0741378i) q^{3} +(1.68683 + 1.07452i) q^{4} +(-1.19366 - 3.67372i) q^{5} +(0.987040 + 0.178462i) q^{6} +(0.389527 - 3.70610i) q^{7} +(-1.86506 - 2.12639i) q^{8} +(-2.44239 + 0.519145i) q^{9} +(0.166956 + 5.46025i) q^{10} +(0.0198868 - 3.31657i) q^{11} +(-1.26951 - 0.632879i) q^{12} +(-2.84637 + 2.21318i) q^{13} +(-1.99539 + 4.87772i) q^{14} +(1.11434 + 2.50285i) q^{15} +(1.69082 + 3.62507i) q^{16} +(0.562423 + 0.506408i) q^{17} +(3.52152 + 0.261610i) q^{18} +(2.77361 + 1.23489i) q^{19} +(1.93397 - 7.47958i) q^{20} +2.64306i q^{21} +(-1.33938 + 4.49511i) q^{22} +(1.29520 + 0.747782i) q^{23} +(1.47321 + 1.36163i) q^{24} +(-8.02632 + 5.83146i) q^{25} +(4.74036 - 1.87856i) q^{26} +(3.70794 - 1.20478i) q^{27} +(4.63934 - 5.83302i) q^{28} +(0.283971 + 0.637810i) q^{29} +(-0.522577 - 3.83914i) q^{30} +(3.46656 + 1.12635i) q^{31} +(-0.861206 - 5.59091i) q^{32} +(0.231855 + 2.34089i) q^{33} +(-0.563227 - 0.910117i) q^{34} +(-14.0801 + 2.99283i) q^{35} +(-4.67773 - 1.74868i) q^{36} +(-7.04767 + 3.13782i) q^{37} +(-3.27715 - 2.77418i) q^{38} +(1.84368 - 1.77214i) q^{39} +(-5.58551 + 9.38993i) q^{40} +(-1.11224 + 0.116901i) q^{41} +(1.04587 - 3.58855i) q^{42} +(-0.394313 - 0.682971i) q^{43} +(3.59726 - 5.57313i) q^{44} +(4.82259 + 8.35297i) q^{45} +(-1.46262 - 1.52780i) q^{46} +(0.727394 + 1.00117i) q^{47} +(-1.46141 - 2.43168i) q^{48} +(-6.73640 - 1.43187i) q^{49} +(13.2051 - 4.74146i) q^{50} +(-0.434262 - 0.315510i) q^{51} +(-7.17946 + 0.674784i) q^{52} +(1.99804 - 6.14935i) q^{53} +(-5.51111 + 0.168511i) q^{54} +(-12.2079 + 3.88581i) q^{55} +(-8.60711 + 6.08382i) q^{56} +(-2.04799 - 0.665431i) q^{57} +(-0.133170 - 0.978340i) q^{58} +(-9.13890 - 0.960538i) q^{59} +(-0.809652 + 5.41928i) q^{60} +(5.90542 + 5.31726i) q^{61} +(-4.26093 - 2.90101i) q^{62} +(0.972629 + 9.25395i) q^{63} +(-1.04308 + 7.93171i) q^{64} +(11.5282 + 7.81499i) q^{65} +(0.611509 - 3.27003i) q^{66} +(-12.0258 - 6.94309i) q^{67} +(0.404570 + 1.45856i) q^{68} +(-0.969036 - 0.431443i) q^{69} +(20.3012 + 1.50816i) q^{70} +(3.71648 + 3.34634i) q^{71} +(5.65911 + 4.22523i) q^{72} +(7.63208 - 10.5047i) q^{73} +(10.8105 - 1.47150i) q^{74} +(5.22922 - 4.70841i) q^{75} +(3.35171 + 5.06336i) q^{76} +(-12.2838 - 1.36559i) q^{77} +(-3.20445 + 1.67653i) q^{78} +(-3.48569 + 10.7279i) q^{79} +(11.2992 - 10.5387i) q^{80} +(4.31707 - 1.92208i) q^{81} +(1.55638 + 0.281401i) q^{82} +(-4.70982 - 14.4953i) q^{83} +(-2.84002 + 4.45841i) q^{84} +(1.18906 - 2.67067i) q^{85} +(0.265114 + 1.08332i) q^{86} +(-0.247592 - 0.428842i) q^{87} +(-7.08940 + 6.14332i) q^{88} +(-8.45523 + 14.6449i) q^{89} +(-3.24243 - 13.2494i) q^{90} +(7.09352 + 11.4110i) q^{91} +(1.38128 + 2.65310i) q^{92} +(-2.52872 - 0.537497i) q^{93} +(-0.591432 - 1.64715i) q^{94} +(1.22589 - 11.6635i) q^{95} +(1.02197 + 3.87984i) q^{96} +(-17.1720 + 3.65002i) q^{97} +(8.57958 + 4.60971i) q^{98} +(1.67321 + 8.11066i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 5 q^{2} - 3 q^{4} - 24 q^{5} - 5 q^{6} - 20 q^{8} - 78 q^{9}+O(q^{10}) $ 640 * q - 5 * q^2 - 3 * q^4 - 24 * q^5 - 5 * q^6 - 20 * q^8 - 78 * q^9	$ 640 q - 5 q^{2} - 3 q^{4} - 24 q^{5} - 5 q^{6} - 20 q^{8} - 78 q^{9} - 36 q^{12} - 20 q^{13} - 28 q^{14} - 11 q^{16} - 10 q^{17} - 20 q^{18} - 29 q^{20} + 25 q^{22} - 65 q^{24} - 152 q^{25} + 40 q^{26} - 5 q^{28} - 10 q^{29} + 5 q^{30} + 4 q^{33} - 132 q^{34} - 24 q^{36} - 6 q^{37} - 10 q^{38} - 20 q^{40} - 50 q^{41} - 49 q^{42} - 4 q^{44} + 28 q^{45} - 25 q^{46} + 35 q^{48} + 62 q^{49} + 20 q^{50} + 15 q^{52} - 8 q^{53} - 2 q^{56} - 40 q^{57} + 41 q^{58} - 68 q^{60} - 10 q^{61} - 5 q^{62} - 36 q^{64} - 66 q^{66} + 60 q^{68} - 58 q^{69} + 118 q^{70} - 5 q^{72} - 40 q^{73} + 45 q^{74} - 76 q^{77} + 12 q^{78} - 41 q^{80} + 30 q^{81} - 37 q^{82} + 50 q^{84} - 10 q^{85} - 120 q^{86} + 89 q^{88} - 40 q^{89} - 250 q^{90} - 46 q^{92} - 2 q^{93} - 5 q^{94} + 110 q^{96} - 10 q^{97}+O(q^{100}) $ 640 * q - 5 * q^2 - 3 * q^4 - 24 * q^5 - 5 * q^6 - 20 * q^8 - 78 * q^9 - 36 * q^12 - 20 * q^13 - 28 * q^14 - 11 * q^16 - 10 * q^17 - 20 * q^18 - 29 * q^20 + 25 * q^22 - 65 * q^24 - 152 * q^25 + 40 * q^26 - 5 * q^28 - 10 * q^29 + 5 * q^30 + 4 * q^33 - 132 * q^34 - 24 * q^36 - 6 * q^37 - 10 * q^38 - 20 * q^40 - 50 * q^41 - 49 * q^42 - 4 * q^44 + 28 * q^45 - 25 * q^46 + 35 * q^48 + 62 * q^49 + 20 * q^50 + 15 * q^52 - 8 * q^53 - 2 * q^56 - 40 * q^57 + 41 * q^58 - 68 * q^60 - 10 * q^61 - 5 * q^62 - 36 * q^64 - 66 * q^66 + 60 * q^68 - 58 * q^69 + 118 * q^70 - 5 * q^72 - 40 * q^73 + 45 * q^74 - 76 * q^77 + 12 * q^78 - 41 * q^80 + 30 * q^81 - 37 * q^82 + 50 * q^84 - 10 * q^85 - 120 * q^86 + 89 * q^88 - 40 * q^89 - 250 * q^90 - 46 * q^92 - 2 * q^93 - 5 * q^94 + 110 * q^96 - 10 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{10}\right)$

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 $

$2$	−1.35772	−	0.395706i	−0.960057	−	0.279806i
$2$	−1.35772	−	0.395706i	−0.960057	−	0.279806i
$3$	−0.705374	+	0.0741378i	−0.407248	+	0.0428035i	−0.305938	−	0.952051i	$-0.598970\pi$
$3$	−0.705374	+	0.0741378i	−0.407248	+	0.0428035i	−0.101310	+	0.994855i	$0.532303\pi$
$4$	1.68683	+	1.07452i	0.843417	+	0.537259i
$5$	−1.19366	−	3.67372i	−0.533823	−	1.64294i	−0.746178	−	0.665746i	$-0.768113\pi$
$5$	−1.19366	−	3.67372i	−0.533823	−	1.64294i	0.212355	−	0.977193i	$-0.431887\pi$
$6$	0.987040	+	0.178462i	0.402957	+	0.0728567i
$7$	0.389527	−	3.70610i	0.147227	−	1.40077i	−0.632454	−	0.774598i	$-0.717952\pi$
$7$	0.389527	−	3.70610i	0.147227	−	1.40077i	0.779682	−	0.626176i	$-0.215381\pi$
$8$	−1.86506	−	2.12639i	−0.659400	−	0.751793i
$9$	−2.44239	+	0.519145i	−0.814129	+	0.173048i
$10$	0.166956	+	5.46025i	0.0527961	+	1.72668i
$11$	0.0198868	−	3.31657i	0.00599609	−	0.999982i
$11$	0.0198868	−	3.31657i	0.00599609	−	0.999982i
$12$	−1.26951	−	0.632879i	−0.366476	−	0.182696i
$13$	−2.84637	+	2.21318i	−0.789442	+	0.613825i
$13$	−2.84637	+	2.21318i	−0.789442	+	0.613825i
$14$	−1.99539	+	4.87772i	−0.533292	+	1.30363i
$15$	1.11434	+	2.50285i	0.287722	+	0.646234i
$16$	1.69082	+	3.62507i	0.422705	+	0.906268i
$17$	0.562423	+	0.506408i	0.136408	+	0.122822i	0.734510	−	0.678597i	$-0.237412\pi$
$17$	0.562423	+	0.506408i	0.136408	+	0.122822i	−0.598103	+	0.801419i	$0.704079\pi$
$18$	3.52152	+	0.261610i	0.830030	+	0.0616620i
$19$	2.77361	+	1.23489i	0.636310	+	0.283304i	0.699429	−	0.714702i	$-0.253438\pi$
$19$	2.77361	+	1.23489i	0.636310	+	0.283304i	−0.0631183	+	0.998006i	$0.520105\pi$
$20$	1.93397	−	7.47958i	0.432449	−	1.67248i
$21$			2.64306i			0.576764i
$22$	−1.33938	+	4.49511i	−0.285558	+	0.958362i
$23$	1.29520	+	0.747782i	0.270067	+	0.155923i	0.628918	−	0.777472i	$-0.283498\pi$
$23$	1.29520	+	0.747782i	0.270067	+	0.155923i	−0.358851	+	0.933395i	$0.616831\pi$
$24$	1.47321	+	1.36163i	0.300718	+	0.277941i
$25$	−8.02632	+	5.83146i	−1.60526	+	1.16629i
$26$	4.74036	−	1.87856i	0.929661	−	0.368416i
$27$	3.70794	−	1.20478i	0.713594	−	0.231861i
$28$	4.63934	−	5.83302i	0.876753	−	1.10234i
$29$	0.283971	+	0.637810i	0.0527322	+	0.118438i	0.937990	−	0.346662i	$-0.112685\pi$
$29$	0.283971	+	0.637810i	0.0527322	+	0.118438i	−0.885258	+	0.465100i	$0.846018\pi$
$30$	−0.522577	−	3.83914i	−0.0954090	−	0.700927i
$31$	3.46656	+	1.12635i	0.622612	+	0.202299i	0.603300	−	0.797515i	$-0.293852\pi$
$31$	3.46656	+	1.12635i	0.622612	+	0.202299i	0.0193124	+	0.999813i	$0.493852\pi$
$32$	−0.861206	−	5.59091i	−0.152241	−	0.988343i
$33$	0.231855	+	2.34089i	0.0403608	+	0.407497i
$34$	−0.563227	−	0.910117i	−0.0965927	−	0.156084i
$35$	−14.0801	+	2.99283i	−2.37998	+	0.505880i
$36$	−4.67773	−	1.74868i	−0.779622	−	0.291446i
$37$	−7.04767	+	3.13782i	−1.15863	+	0.515855i	−0.893811	−	0.448443i	$-0.851979\pi$
$37$	−7.04767	+	3.13782i	−1.15863	+	0.515855i	−0.264818	+	0.964298i	$0.585312\pi$
$38$	−3.27715	−	2.77418i	−0.531624	−	0.450031i
$39$	1.84368	−	1.77214i	0.295225	−	0.283770i
$40$	−5.58551	+	9.38993i	−0.883147	+	1.48468i
$41$	−1.11224	+	0.116901i	−0.173703	+	0.0182569i	−0.190981	−	0.981594i	$-0.561167\pi$
$41$	−1.11224	+	0.116901i	−0.173703	+	0.0182569i	0.0172775	+	0.999851i	$0.494500\pi$
$42$	1.04587	−	3.58855i	0.161382	−	0.553726i
$43$	−0.394313	−	0.682971i	−0.0601322	−	0.104152i	0.834392	−	0.551171i	$-0.185819\pi$
$43$	−0.394313	−	0.682971i	−0.0601322	−	0.104152i	−0.894524	+	0.447019i	$0.852486\pi$
$44$	3.59726	−	5.57313i	0.542307	−	0.840180i
$45$	4.82259	+	8.35297i	0.718909	+	1.24519i
$46$	−1.46262	−	1.52780i	−0.215651	−	0.225262i
$47$	0.727394	+	1.00117i	0.106101	+	0.146036i	0.858766	−	0.512368i	$-0.171232\pi$
$47$	0.727394	+	1.00117i	0.106101	+	0.146036i	−0.752664	+	0.658404i	$0.771232\pi$
$48$	−1.46141	−	2.43168i	−0.210937	−	0.350982i
$49$	−6.73640	−	1.43187i	−0.962343	−	0.204552i
$50$	13.2051	−	4.74146i	1.86748	−	0.670544i
$51$	−0.434262	−	0.315510i	−0.0608089	−	0.0441803i
$52$	−7.17946	+	0.674784i	−0.995612	+	0.0935757i
$53$	1.99804	−	6.14935i	0.274452	−	0.844678i	−0.714911	−	0.699215i	$-0.753533\pi$
$53$	1.99804	−	6.14935i	0.274452	−	0.844678i	0.989364	−	0.145463i	$-0.0464671\pi$
$54$	−5.51111	+	0.168511i	−0.749967	+	0.0229314i
$55$	−12.2079	+	3.88581i	−1.64611	+	0.523962i
$56$	−8.60711	+	6.08382i	−1.15017	+	0.812985i
$57$	−2.04799	−	0.665431i	−0.271262	−	0.0881385i
$58$	−0.133170	−	0.978340i	−0.0174861	−	0.128462i
$59$	−9.13890	−	0.960538i	−1.18978	−	0.125051i	−0.511126	−	0.859506i	$-0.670771\pi$
$59$	−9.13890	−	0.960538i	−1.18978	−	0.125051i	−0.678658	+	0.734454i	$0.737438\pi$
$60$	−0.809652	+	5.41928i	−0.104526	+	0.699626i
$61$	5.90542	+	5.31726i	0.756111	+	0.680806i	0.954130	−	0.299393i	$-0.0967840\pi$
$61$	5.90542	+	5.31726i	0.756111	+	0.680806i	−0.198019	+	0.980198i	$0.563451\pi$
$62$	−4.26093	−	2.90101i	−0.541138	−	0.368429i
$63$	0.972629	+	9.25395i	0.122540	+	1.16589i
$64$	−1.04308	+	7.93171i	−0.130384	+	0.991464i
$65$	11.5282	+	7.81499i	1.42990	+	0.969330i
$66$	0.611509	−	3.27003i	0.0752715	−	0.402513i
$67$	−12.0258	−	6.94309i	−1.46918	−	0.848234i	−0.469781	−	0.882783i	$-0.655667\pi$
$67$	−12.0258	−	6.94309i	−1.46918	−	0.848234i	−0.999403	+	0.0345489i	$0.989001\pi$
$68$	0.404570	+	1.45856i	0.0490613	+	0.176876i
$69$	−0.969036	−	0.431443i	−0.116658	−	0.0519396i
$70$	20.3012	+	1.50816i	2.42646	+	0.180259i
$71$	3.71648	+	3.34634i	0.441065	+	0.397137i	0.859521	−	0.511100i	$-0.170762\pi$
$71$	3.71648	+	3.34634i	0.441065	+	0.397137i	−0.418456	+	0.908237i	$0.637429\pi$
$72$	5.65911	+	4.22523i	0.666933	+	0.497948i
$73$	7.63208	−	10.5047i	0.893267	−	1.22948i	−0.0792989	−	0.996851i	$-0.525268\pi$
$73$	7.63208	−	10.5047i	0.893267	−	1.22948i	0.972566	−	0.232626i	$-0.0747319\pi$
$74$	10.8105	−	1.47150i	1.25669	−	0.171058i
$75$	5.22922	−	4.70841i	0.603819	−	0.543681i
$76$	3.35171	+	5.06336i	0.384468	+	0.580807i
$77$	−12.2838	−	1.36559i	−1.39987	−	0.155624i
$78$	−3.20445	+	1.67653i	−0.362833	+	0.189829i
$79$	−3.48569	+	10.7279i	−0.392171	+	1.20698i	0.538972	+	0.842324i	$0.318813\pi$
$79$	−3.48569	+	10.7279i	−0.392171	+	1.20698i	−0.931143	+	0.364655i	$0.881187\pi$
$80$	11.2992	−	10.5387i	1.26329	−	1.17826i
$81$	4.31707	−	1.92208i	0.479674	−	0.213565i
$82$	1.55638	+	0.281401i	0.171873	+	0.0310755i
$83$	−4.70982	−	14.4953i	−0.516970	−	1.59107i	−0.779669	−	0.626192i	$-0.784613\pi$
$83$	−4.70982	−	14.4953i	−0.516970	−	1.59107i	0.262699	−	0.964878i	$-0.415387\pi$
$84$	−2.84002	+	4.45841i	−0.309872	+	0.486452i
$85$	1.18906	−	2.67067i	0.128971	−	0.289675i
$86$	0.265114	+	1.08332i	0.0285879	+	0.116817i
$87$	−0.247592	−	0.428842i	−0.0265446	−	0.0459766i
$88$	−7.08940	+	6.14332i	−0.755733	+	0.654880i
$89$	−8.45523	+	14.6449i	−0.896253	+	1.55236i	−0.0640060	+	0.997950i	$0.520388\pi$
$89$	−8.45523	+	14.6449i	−0.896253	+	1.55236i	−0.832247	+	0.554406i	$0.812946\pi$
$90$	−3.24243	−	13.2494i	−0.341782	−	1.39661i
$91$	7.09352	+	11.4110i	0.743603	+	1.19620i
$92$	1.38128	+	2.65310i	0.144008	+	0.276604i
$93$	−2.52872	−	0.537497i	−0.262216	−	0.0557358i
$94$	−0.591432	−	1.64715i	−0.0610015	−	0.169891i
$95$	1.22589	−	11.6635i	0.125773	−	1.19665i
$96$	1.02197	+	3.87984i	0.104304	+	0.395984i
$97$	−17.1720	+	3.65002i	−1.74355	+	0.370603i	−0.966065	−	0.258298i	$-0.916838\pi$
$97$	−17.1720	+	3.65002i	−1.74355	+	0.370603i	−0.777485	+	0.628901i	$0.783505\pi$
$98$	8.57958	+	4.60971i	0.866669	+	0.465651i
$99$	1.67321	+	8.11066i	0.168164	+	0.815152i
$100$	−19.8051	+	1.21228i	−1.98051	+	0.121228i
$101$	12.6084	−	11.3527i	1.25459	−	1.12963i	0.268522	−	0.963274i	$-0.413465\pi$
$101$	12.6084	−	11.3527i	1.25459	−	1.12963i	0.986065	−	0.166361i	$-0.0532017\pi$
$102$	0.464760	+	0.600216i	0.0460181	+	0.0594303i
$103$	4.45096	−	6.12622i	0.438566	−	0.603635i	−0.531327	−	0.847167i	$-0.678306\pi$
$103$	4.45096	−	6.12622i	0.438566	−	0.603635i	0.969893	+	0.243533i	$0.0783063\pi$
$104$	10.0147	+	1.92478i	0.982027	+	0.188740i
$105$	9.70988	−	3.15493i	0.947587	−	0.307890i
$106$	−5.14613	+	7.55848i	−0.499836	+	0.734145i
$107$	−0.601356	−	5.72152i	−0.0581353	−	0.553120i	−0.984363	−	0.176154i	$-0.943634\pi$
$107$	−0.601356	−	5.72152i	−0.0581353	−	0.553120i	0.926227	−	0.376966i	$-0.123032\pi$
$108$	7.54925	+	1.95198i	0.726427	+	0.187830i
$109$			0.609868i			0.0584148i	0.999573	+	0.0292074i	$0.00929832\pi$
$109$			0.609868i			0.0584148i	−0.999573	+	0.0292074i	$0.990702\pi$
$110$	18.1126	−	0.445133i	1.72697	−	0.0424418i
$111$	4.73861	−	2.73584i	0.449769	−	0.259674i
$112$	14.0935	−	4.85428i	1.33171	−	0.458686i
$113$	−7.59134	−	3.37988i	−0.714133	−	0.317953i	0.0173146	−	0.999850i	$-0.494488\pi$
$113$	−7.59134	−	3.37988i	−0.714133	−	0.317953i	−0.731448	+	0.681898i	$0.761155\pi$
$114$	2.51729	+	1.71387i	0.235765	+	0.160519i
$115$	1.20111	−	5.65079i	0.112004	−	0.526939i
$116$	−0.206326	+	1.38101i	−0.0191569	+	0.128224i
$117$	5.80298	−	6.88312i	0.536486	−	0.636345i
$118$	12.0280	+	4.92046i	1.10727	+	0.452965i
$119$	2.09588	−	1.88714i	0.192129	−	0.172993i
$120$	3.24372	−	7.03750i	0.296110	−	0.642433i
$121$	−10.9992	−	0.131912i	−0.999928	−	0.0119920i
$122$	−5.91386	−	9.55619i	−0.535416	−	0.865176i
$123$	0.775880	−	0.164918i	0.0699588	−	0.0148702i
$124$	4.63722	+	5.62485i	0.416435	+	0.505127i
$125$	15.3786	+	11.1732i	1.37551	+	0.999365i
$126$	2.34128	−	12.9492i	0.208578	−	1.15361i
$127$	15.1344	+	3.21691i	1.34296	+	0.285454i	0.822661	−	0.568532i	$-0.192488\pi$
$127$	15.1344	+	3.21691i	1.34296	+	0.285454i	0.520295	+	0.853986i	$0.325822\pi$
$128$	4.55483	−	10.3563i	0.402594	−	0.915379i
$129$	0.328772	+	0.452516i	0.0289468	+	0.0398418i
$130$	−12.5597	−	15.1724i	−1.10156	−	1.33071i
$131$	−7.11479			−0.621622			−0.310811	−	0.950472i	$-0.600601\pi$
$131$	−7.11479			−0.621622			−0.310811	+	0.950472i	$0.600601\pi$
$132$	−2.12423	+	4.19783i	−0.184891	+	0.365374i
$133$	5.65703	−	9.79826i	0.490527	−	0.849617i
$134$	13.5803	+	14.1855i	1.17316	+	1.22544i
$135$	−8.85209	−	12.1839i	−0.761866	−	1.04862i
$136$	0.0278665	−	2.14041i	0.00238954	−	0.183539i
$137$	−3.09329	+	3.43545i	−0.264278	+	0.293510i	−0.860649	−	0.509199i	$-0.829942\pi$
$137$	−3.09329	+	3.43545i	−0.264278	+	0.293510i	0.596371	+	0.802709i	$0.296609\pi$
$138$	1.14496	+	0.969234i	0.0974655	+	0.0825066i
$139$	1.78893	−	17.0205i	0.151735	−	1.44366i	−0.608262	−	0.793736i	$-0.708133\pi$
$139$	1.78893	−	17.0205i	0.151735	−	1.44366i	0.759997	−	0.649926i	$-0.225200\pi$
$140$	−26.9667	−	10.0810i	−2.27910	−	0.851998i
$141$	−0.587309	−	0.652273i	−0.0494604	−	0.0549313i
$142$	−3.72180	−	6.01404i	−0.312326	−	0.504687i
$143$	7.28355	+	9.48419i	0.609081	+	0.793108i
$144$	−6.01157	−	7.97604i	−0.500964	−	0.664670i
$145$	2.00417	−	1.80456i	0.166437	−	0.149861i
$146$	−14.5190	+	11.2424i	−1.20160	+	0.930426i
$147$	4.85784	+	0.510579i	0.400668	+	0.0421119i
$148$	−15.2599	−	2.27986i	−1.25436	−	0.187404i
$149$	−9.63362	−	8.67415i	−0.789217	−	0.710614i	0.172395	−	0.985028i	$-0.444849\pi$
$149$	−9.63362	−	8.67415i	−0.789217	−	0.710614i	−0.961612	+	0.274414i	$0.911516\pi$
$150$	−8.96299	+	4.32350i	−0.731825	+	0.353012i
$151$	9.79629	−	7.11742i	0.797211	−	0.579207i	−0.112884	−	0.993608i	$-0.536009\pi$
$151$	9.79629	−	7.11742i	0.797211	−	0.579207i	0.910095	+	0.414401i	$0.136009\pi$
$152$	−2.54710	−	8.20094i	−0.206597	−	0.665184i
$153$	−1.63655	−	0.944865i	−0.132308	−	0.0763878i
$154$	16.1376	+	6.71486i	1.30041	+	0.541099i
$155$		−	14.0797i		−	1.13091i
$156$	5.01418	−	1.00824i	0.401455	−	0.0807241i
$157$	11.6573	−	8.46955i	0.930356	−	0.675943i	−0.0157237	−	0.999876i	$-0.505005\pi$
$157$	11.6573	−	8.46955i	0.930356	−	0.675943i	0.946080	+	0.323933i	$0.105005\pi$
$158$	8.97768	−	13.1862i	0.714226	−	1.04904i
$159$	−0.953469	+	4.48572i	−0.0756150	+	0.355741i
$160$	−19.5115	+	9.83751i	−1.54252	+	0.777724i
$161$	3.27587	−	4.50884i	0.258174	−	0.355347i
$162$	−6.62197	+	0.901372i	−0.520271	+	0.0708185i
$163$	1.12664	+	5.30041i	0.0882451	+	0.415160i	0.999990	+	0.00440420i	$0.00140190\pi$
$163$	1.12664	+	5.30041i	0.0882451	+	0.415160i	−0.911745	+	0.410756i	$0.865265\pi$
$164$	−2.00178	−	0.997933i	−0.156313	−	0.0779255i
$165$	8.32303	−	3.64601i	0.647947	−	0.283842i
$166$	0.658754	+	21.5444i	0.0511293	+	1.67217i
$167$	6.35464	+	7.05754i	0.491736	+	0.546129i	0.937027	−	0.349258i	$-0.113566\pi$
$167$	6.35464	+	7.05754i	0.491736	+	0.546129i	−0.445290	+	0.895386i	$0.646900\pi$
$168$	5.62018	−	4.92948i	0.433607	−	0.380318i
$169$	3.20368	−	12.5991i	0.246437	−	0.969159i
$170$	−2.67121	+	3.15552i	−0.204873	+	0.242017i
$171$	−7.41532	−	1.57618i	−0.567064	−	0.120533i
$172$	0.0687237	−	1.57576i	0.00524014	−	0.120150i
$173$	−9.10982	+	20.4610i	−0.692607	+	1.55562i	0.132839	+	0.991138i	$0.457591\pi$
$173$	−9.10982	+	20.4610i	−0.692607	+	1.55562i	−0.825445	+	0.564482i	$0.809076\pi$
$174$	0.166467	+	0.680222i	0.0126198	+	0.0515675i
$175$	18.4855	+	32.0178i	1.39737	+	2.42032i
$176$	12.0564	−	5.53562i	0.908786	−	0.417263i
$177$	6.51755			0.489889
$178$	17.2749	−	16.5379i	1.29481	−	1.23957i
$179$	1.36751	−	0.143731i	0.102212	−	0.0107429i	−0.0532843	−	0.998579i	$-0.516969\pi$
$179$	1.36751	−	0.143731i	0.102212	−	0.0107429i	0.155496	+	0.987836i	$0.450302\pi$
$180$	−0.840515	+	19.2720i	−0.0626483	+	1.43645i
$181$	−1.74603	−	5.37372i	−0.129781	−	0.399426i	0.864961	−	0.501840i	$-0.167343\pi$
$181$	−1.74603	−	5.37372i	−0.129781	−	0.399426i	−0.994742	+	0.102414i	$0.967343\pi$
$182$	−5.11564	−	18.3000i	−0.379197	−	1.35649i
$183$	−4.55974	−	3.31284i	−0.337065	−	0.244892i
$184$	−0.825547	−	4.14875i	−0.0608601	−	0.305850i
$185$	19.9401	+	22.1457i	1.46602	+	1.62818i
$186$	3.22062	+	1.73040i	0.236147	+	0.126879i
$187$	1.69072	−	1.85524i	0.123638	−	0.135669i
$188$	0.151215	+	2.47041i	0.0110285	+	0.180173i
$189$	−3.02071	−	14.2113i	−0.219724	−	1.03372i
$190$	−6.27974	+	15.3508i	−0.455580	+	1.11366i
$191$	−12.1277	−	1.27467i	−0.877529	−	0.0922321i	−0.344959	−	0.938618i	$-0.612107\pi$
$191$	−12.1277	−	1.27467i	−0.877529	−	0.0922321i	−0.532570	+	0.846386i	$0.678774\pi$
$192$	0.147719	−	5.67215i	0.0106607	−	0.409352i
$193$	−1.44956	+	6.81965i	−0.104342	+	0.490889i	0.894682	+	0.446704i	$0.147402\pi$
$193$	−1.44956	+	6.81965i	−0.104342	+	0.490889i	−0.999023	+	0.0441850i	$0.985931\pi$
$194$	24.7592	+	1.83933i	1.77760	+	0.132056i
$195$	−8.71109	−	4.65781i	−0.623814	−	0.333553i
$196$	−9.82463	−	9.65371i	−0.701759	−	0.689551i
$197$	5.89196	+	3.40172i	0.419785	+	0.242363i	0.694985	−	0.719024i	$-0.255411\pi$
$197$	5.89196	+	3.40172i	0.419785	+	0.242363i	−0.275200	+	0.961387i	$0.588744\pi$
$198$	0.937677	−	11.6741i	0.0666378	−	0.829645i
$199$	−18.7654	+	10.8342i	−1.33024	+	0.768016i	−0.985337	−	0.170622i	$-0.945422\pi$
$199$	−18.7654	+	10.8342i	−1.33024	+	0.768016i	−0.344905	+	0.938637i	$0.612089\pi$
$200$	27.3696	+	6.19104i	1.93532	+	0.437773i
$201$	8.99742	+	4.00591i	0.634629	+	0.282555i
$202$	−21.6111	+	10.4246i	−1.52055	+	0.733472i
$203$	2.47440	−	0.803982i	0.173669	−	0.0564285i
$204$	−0.393507	−	0.998836i	−0.0275510	−	0.0699325i
$205$	1.75711	+	3.94653i	0.122722	+	0.275638i
$206$	−8.46736	+	6.55645i	−0.589949	+	0.456810i
$207$	−3.55158	−	1.15398i	−0.246852	−	0.0802070i
$208$	−12.8356	−	6.57622i	−0.889991	−	0.455979i
$209$	4.15076	−	9.17431i	0.287114	−	0.634600i
$210$	−14.4318	+	0.441275i	−0.995887	+	0.0304508i
$211$	9.87132	+	10.9632i	0.679570	+	0.754739i	0.979985	−	0.199070i	$-0.0637920\pi$
$211$	9.87132	+	10.9632i	0.679570	+	0.754739i	−0.300415	+	0.953808i	$0.597125\pi$
$212$	9.97796	−	8.22599i	0.685289	−	0.564963i
$213$	−2.86960	−	2.08489i	−0.196622	−	0.142854i
$214$	−1.44756	+	8.00621i	−0.0989532	+	0.547293i
$215$	−2.03837	+	2.26384i	−0.139016	+	0.154392i
$216$	−9.47739	−	5.63754i	−0.644855	−	0.383586i
$217$	5.52469	−	12.4087i	0.375040	−	0.842355i
$218$	0.241328	−	0.828033i	0.0163448	−	0.0560815i
$219$	−4.60468	+	7.97553i	−0.311155	+	0.538937i
$220$	−24.7680	−	6.56288i	−1.66986	−	0.442469i
$221$	−2.72164	−	0.196683i	−0.183077	−	0.0132303i
$222$	−7.51631	+	1.83942i	−0.504462	+	0.123454i
$223$	5.05675	−	0.531486i	0.338625	−	0.0355909i	0.0663101	−	0.997799i	$-0.478877\pi$
$223$	5.05675	−	0.531486i	0.338625	−	0.0355909i	0.272315	+	0.962208i	$0.412211\pi$
$224$	−21.0559	+	1.01390i	−1.40686	+	0.0677443i
$225$	16.5760	−	18.4095i	1.10507	−	1.22730i
$226$	8.96951	+	7.59288i	0.596643	+	0.505071i
$227$	2.63812	−	25.1000i	0.175098	−	1.66594i	−0.455802	−	0.890081i	$-0.650648\pi$
$227$	2.63812	−	25.1000i	0.175098	−	1.66594i	0.630900	−	0.775864i	$-0.282686\pi$
$228$	−2.73959	−	3.32307i	−0.181434	−	0.220076i
$229$	−6.61553	+	20.3605i	−0.437167	+	1.34546i	0.453684	+	0.891163i	$0.350110\pi$
$229$	−6.61553	+	20.3605i	−0.437167	+	1.34546i	−0.890850	+	0.454297i	$0.849890\pi$
$230$	−3.86683	+	7.19694i	−0.254971	+	0.474552i
$231$	8.76589	+	0.0525620i	0.576753	+	0.00345833i
$232$	0.826609	−	1.79339i	0.0542696	−	0.117742i
$233$	8.47757	+	2.75453i	0.555384	+	0.180455i	0.573243	−	0.819385i	$-0.305685\pi$
$233$	8.47757	+	2.75453i	0.555384	+	0.180455i	−0.0178592	+	0.999841i	$0.505685\pi$
$234$	−10.6025	+	7.04911i	−0.693110	+	0.460815i
$235$	2.80976	−	3.86731i	0.183289	−	0.252275i
$236$	−14.3837	−	11.4402i	−0.936299	−	0.744693i
$237$	1.66338	−	7.82557i	0.108048	−	0.508325i
$238$	−3.59238	+	1.73286i	−0.232859	+	0.112325i
$239$	0.181400	−	0.131794i	0.0117338	−	0.00852508i	−0.581903	−	0.813258i	$-0.697692\pi$
$239$	0.181400	−	0.131794i	0.0117338	−	0.00852508i	0.593637	+	0.804733i	$0.297692\pi$
$240$	−7.18886	+	8.27143i	−0.464039	+	0.533919i
$241$	−13.2622	+	7.65694i	−0.854294	+	0.493227i	−0.862097	−	0.506743i	$-0.830849\pi$
$241$	−13.2622	+	7.65694i	−0.854294	+	0.493227i	0.00780364	+	0.999970i	$0.497516\pi$
$242$	14.8817	+	4.53155i	0.956632	+	0.291299i
$243$	−13.0319	+	7.52399i	−0.835999	+	0.482664i
$244$	4.24796	+	15.3148i	0.271948	+	0.980431i
$245$	2.78073	+	26.4568i	0.177654	+	1.69027i
$246$	−1.11869	−	0.0831063i	−0.0713252	−	0.00529867i
$247$	−10.6278	+	2.62354i	−0.676229	+	0.166932i
$248$	−4.07028	−	9.47198i	−0.258463	−	0.601471i
$249$	4.39684	+	9.87546i	0.278638	+	0.625832i
$250$	−16.4587	−	21.2556i	−1.04094	−	1.34432i
$251$	1.92338	+	9.04878i	0.121402	+	0.571154i	0.996232	+	0.0867236i	$0.0276397\pi$
$251$	1.92338	+	9.04878i	0.121402	+	0.571154i	−0.874830	+	0.484430i	$0.839027\pi$
$252$	−8.30288	+	16.6550i	−0.523032	+	1.04917i
$253$	2.50582	−	4.28073i	0.157540	−	0.269127i
$254$	−19.2753	−	10.3564i	−1.20944	−	0.649820i
$255$	−0.640733	+	1.97197i	−0.0401243	+	0.123490i
$256$	−10.2823	+	12.2587i	−0.642642	+	0.766167i
$257$	−5.36786	+	2.38992i	−0.334838	+	0.149079i	−0.567267	−	0.823534i	$-0.691999\pi$
$257$	−5.36786	+	2.38992i	−0.334838	+	0.149079i	0.232429	+	0.972613i	$0.425333\pi$
$258$	−0.267319	−	0.744490i	−0.0166426	−	0.0463499i
$259$	8.88383	+	27.3416i	0.552014	+	1.69893i
$260$	11.0488	+	25.5699i	0.685220	+	1.58578i
$261$	−1.02468	−	1.41036i	−0.0634264	−	0.0872989i
$262$	9.65992	+	2.81536i	0.596792	+	0.173934i
$263$	1.14852	−	1.98929i	0.0708207	−	0.122665i	−0.828441	−	0.560077i	$-0.810772\pi$
$263$	1.14852	−	1.98929i	0.0708207	−	0.122665i	0.899261	+	0.437412i	$0.144105\pi$
$264$	4.54523	−	4.85893i	0.279739	−	0.299046i
$265$	−24.9760			−1.53426
$266$	−11.5579	+	11.0648i	−0.708661	+	0.678428i
$267$	4.87836	−	10.9570i	0.298551	−	0.670556i
$268$	−12.8250	−	24.6338i	−0.783413	−	1.50475i
$269$	−5.74217	+	6.37733i	−0.350107	+	0.388833i	−0.892316	−	0.451410i	$-0.850921\pi$
$269$	−5.74217	+	6.37733i	−0.350107	+	0.388833i	0.542210	+	0.840243i	$0.317588\pi$
$270$	7.19748	+	20.0451i	0.438025	+	1.21991i
$271$	−2.30733	+	1.02729i	−0.140160	+	0.0624033i	−0.475618	−	0.879652i	$-0.657776\pi$
$271$	−2.30733	+	1.02729i	−0.140160	+	0.0624033i	0.335458	+	0.942055i	$0.391109\pi$
$272$	−0.884809	+	2.89507i	−0.0536494	+	0.175539i
$273$	−5.84957	−	7.52314i	−0.354032	−	0.455321i
$274$	5.55926	−	3.44036i	0.335847	−	0.207840i
$275$	19.1808	+	26.7358i	1.15665	+	1.61223i
$276$	−1.17101	−	1.76902i	−0.0704865	−	0.106482i
$277$	−4.72653	−	22.2366i	−0.283989	−	1.33606i	−0.856491	−	0.516162i	$-0.827360\pi$
$277$	−4.72653	−	22.2366i	−0.283989	−	1.33606i	0.572502	−	0.819903i	$-0.305973\pi$
$278$	−9.16400	+	22.4013i	−0.549620	+	1.34354i
$279$	−9.05142	−	0.951342i	−0.541894	−	0.0569554i
$280$	32.6243	+	24.3581i	1.94967	+	1.45567i
$281$	2.16735	−	0.704215i	0.129293	−	0.0420099i	−0.243656	−	0.969862i	$-0.578347\pi$
$281$	2.16735	−	0.704215i	0.129293	−	0.0420099i	0.372949	+	0.927852i	$0.378347\pi$
$282$	0.539296	+	1.11801i	0.0321146	+	0.0665765i
$283$	−1.78276	−	16.9618i	−0.105974	−	1.00828i	−0.910261	−	0.414034i	$-0.864119\pi$
$283$	−1.78276	−	16.9618i	−0.105974	−	1.00828i	0.804287	−	0.594241i	$-0.202547\pi$
$284$	2.67339	+	9.63815i	0.158636	+	0.571919i
$285$			8.31803i			0.492718i
$286$	−6.13610	−	15.7591i	−0.362835	−	0.931853i
$287$			4.16762i			0.246007i
$288$	5.00590	+	13.2081i	0.294975	+	0.778294i
$289$	−1.71711	−	16.3372i	−0.101007	−	0.961014i
$290$	−3.43519	+	1.65704i	−0.201721	+	0.0973047i
$291$	11.8421	−	3.84772i	0.694194	−	0.225557i
$292$	24.1615	−	9.51880i	1.41395	−	0.557046i
$293$	−23.9780	−	2.52018i	−1.40081	−	0.147231i	−0.626194	−	0.779667i	$-0.715388\pi$
$293$	−23.9780	−	2.52018i	−1.40081	−	0.147231i	−0.774612	+	0.632436i	$0.782055\pi$
$294$	−6.39357	−	2.61550i	−0.372880	−	0.152539i
$295$	7.38004	+	34.7204i	0.429683	+	2.02150i
$296$	19.8166	+	9.13386i	1.15182	+	0.530895i
$297$	−3.92201	−	12.3216i	−0.227578	−	0.714972i
$298$	9.64739	+	15.5892i	0.558859	+	0.903057i
$299$	−5.34159	+	0.738035i	−0.308912	+	0.0426816i
$300$	13.8801	−	2.32341i	0.801369	−	0.134142i
$301$	−2.68475	+	1.19533i	−0.154747	+	0.0688976i
$302$	−16.1171	+	5.78705i	−0.927433	+	0.333007i
$303$	−8.05200	+	8.94265i	−0.462575	+	0.513742i
$304$	0.213106	+	12.1425i	0.0122225	+	0.696421i
$305$	12.4851	−	28.0419i	0.714892	−	1.60567i
$306$	1.84810	+	1.93046i	0.105649	+	0.110357i
$307$	−19.8089			−1.13056			−0.565278	−	0.824900i	$-0.691231\pi$
$307$	−19.8089			−1.13056			−0.565278	+	0.824900i	$0.691231\pi$
$308$	−19.2533	−	15.5027i	−1.09706	−	0.883347i
$309$	−2.68541	+	4.65126i	−0.152767	+	0.264601i
$310$	−5.57140	+	19.1163i	−0.316434	+	1.08573i
$311$	−17.7278	−	24.4002i	−1.00525	−	1.38361i	−0.922048	−	0.387075i	$-0.873486\pi$
$311$	−17.7278	−	24.4002i	−1.00525	−	1.38361i	−0.0832012	−	0.996533i	$-0.526514\pi$
$312$	−7.20684	−	0.615219i	−0.408007	−	0.0348299i
$313$	3.42381	+	10.5374i	0.193525	+	0.595609i	0.999991	+	0.00432784i	$0.00137760\pi$
$313$	3.42381	+	10.5374i	0.193525	+	0.595609i	−0.806466	+	0.591281i	$0.798622\pi$
$314$	−19.1789	+	6.88644i	−1.08233	+	0.388625i
$315$	32.8355	−	14.6193i	1.85007	−	0.823703i
$316$	−17.4071	+	14.3507i	−0.979224	+	0.807288i
$317$	−1.18660	+	3.65198i	−0.0666462	+	0.205116i	−0.978834	−	0.204657i	$-0.934392\pi$
$317$	−1.18660	+	3.65198i	−0.0666462	+	0.205116i	0.912188	+	0.409773i	$0.134392\pi$
$318$	3.06957	−	5.71308i	0.172133	−	0.320374i
$319$	2.12099	−	0.929126i	0.118752	−	0.0520211i
$320$	30.3840	−	5.63583i	1.69852	−	0.315053i
$321$	0.848361	+	3.99122i	0.0473509	+	0.222768i
$322$	−6.23190	+	4.82549i	−0.347290	+	0.268914i
$323$	0.934585	+	2.09911i	0.0520017	+	0.116798i
$324$	9.34750	+	1.39654i	0.519305	+	0.0775854i
$325$	9.93983	−	34.3622i	0.551363	−	1.90607i
$326$	0.567739	−	7.64232i	0.0314442	−	0.423269i
$327$	−0.0452142	−	0.430185i	−0.00250035	−	0.0237893i
$328$	2.32298	+	2.14704i	0.128265	+	0.118550i
$329$	3.99378	−	2.30581i	0.220184	−	0.127123i
$330$	−12.7431	+	1.65681i	−0.701487	+	0.0912045i
$331$	25.8696	−	14.9358i	1.42192	−	0.820946i	0.425456	−	0.904979i	$-0.360114\pi$
$331$	25.8696	−	14.9358i	1.42192	−	0.820946i	0.996463	+	0.0840334i	$0.0267802\pi$
$332$	7.63083	−	29.5120i	0.418796	−	1.61968i
$333$	15.5842	−	11.3225i	0.854006	−	0.620472i
$334$	−5.83514	−	12.0968i	−0.319285	−	0.661905i
$335$	−11.1522	+	52.4672i	−0.609312	+	2.86659i
$336$	−9.58129	+	4.46894i	−0.522702	+	0.243801i
$337$	15.8988	−	21.8829i	0.866065	−	1.19204i	−0.114024	−	0.993478i	$-0.536374\pi$
$337$	15.8988	−	21.8829i	0.866065	−	1.19204i	0.980089	−	0.198558i	$-0.0636259\pi$
$338$	−9.33524	+	15.8384i	−0.507770	+	0.861493i
$339$	5.60531	+	1.82127i	0.304438	+	0.0989181i
$340$	4.87543	−	3.22731i	0.264407	−	0.175025i
$341$	3.80456	−	11.4747i	0.206029	−	0.621388i
$342$	9.44427	+	5.07430i	0.510688	+	0.274387i
$343$	0.130243	−	0.400848i	0.00703248	−	0.0216438i
$344$	−0.716843	+	2.11225i	−0.0386496	+	0.113885i
$345$	−0.428296	+	4.07497i	−0.0230587	+	0.219389i
$346$	20.4652	−	24.1756i	1.10021	−	1.29969i
$347$	11.6194	−	12.9047i	0.623763	−	0.692760i	−0.345602	−	0.938381i	$-0.612325\pi$
$347$	11.6194	−	12.9047i	0.623763	−	0.692760i	0.969366	+	0.245622i	$0.0789920\pi$
$348$	0.0431521	−	0.989427i	0.00231319	−	0.0530388i
$349$	−21.4911	+	2.25881i	−1.15039	+	0.120911i	−0.660468	−	0.750854i	$-0.729642\pi$
$349$	−21.4911	+	2.25881i	−1.15039	+	0.120911i	−0.489924	+	0.871765i	$0.662975\pi$
$350$	−12.4286	−	50.7862i	−0.664337	−	2.71464i
$351$	−7.88779	+	11.6356i	−0.421019	+	0.621063i
$352$	−18.5598	+	2.74506i	−0.989238	+	0.146312i
$353$	−5.97434	+	10.3479i	−0.317982	+	0.550761i	−0.980067	−	0.198668i	$-0.936339\pi$
$353$	−5.97434	+	10.3479i	−0.317982	+	0.550761i	0.662085	+	0.749429i	$0.269672\pi$
$354$	−8.84905	−	2.57903i	−0.470322	−	0.137074i
$355$	7.85728	−	17.6477i	0.417021	−	0.936644i
$356$	−29.9988	+	15.6182i	−1.58993	+	0.827763i
$357$	−1.33847	+	1.48652i	−0.0708393	+	0.0786750i
$358$	−1.91357	−	0.345983i	−0.101135	−	0.0182858i
$359$	14.8809	+	10.8116i	0.785384	+	0.570615i	0.906590	−	0.422012i	$-0.138676\pi$
$359$	14.8809	+	10.8116i	0.785384	+	0.570615i	−0.121206	+	0.992627i	$0.538676\pi$
$360$	8.76724	−	25.8335i	0.462074	−	1.36155i
$361$	−6.54551	−	7.26953i	−0.344501	−	0.382607i
$362$	0.244214	+	7.98695i	0.0128356	+	0.419785i
$363$	7.76833	−	0.722410i	0.407732	−	0.0379167i
$364$	−0.295775	+	26.8706i	−0.0155028	+	1.40840i
$365$	−47.7013	−	15.4991i	−2.49680	−	0.811260i
$366$	4.87996	+	6.30224i	0.255079	+	0.329423i
$367$	−1.62079	−	3.64035i	−0.0846044	−	0.190025i	0.866289	−	0.499543i	$-0.166499\pi$
$367$	−1.62079	−	3.64035i	−0.0846044	−	0.190025i	−0.950893	+	0.309519i	$0.899832\pi$
$368$	−0.520820	+	5.95954i	−0.0271496	+	0.310663i
$369$	2.65584	−	0.862935i	0.138258	−	0.0449226i
$370$	−18.3099	−	37.9581i	−0.951889	−	1.97335i
$371$	−22.0118	−	9.80028i	−1.14280	−	0.508805i
$372$	−3.68799	−	3.62383i	−0.191213	−	0.187887i
$373$	8.78067	−	5.06952i	0.454646	−	0.262490i	−0.255144	−	0.966903i	$-0.582123\pi$
$373$	8.78067	−	5.06952i	0.454646	−	0.262490i	0.709790	+	0.704413i	$0.248790\pi$
$374$	−3.02966	+	1.84988i	−0.156660	+	0.0956551i
$375$	−11.6760	−	6.74117i	−0.602948	−	0.348112i
$376$	0.772247	−	3.41397i	0.0398256	−	0.176062i
$377$	−2.21988	−	1.18697i	−0.114329	−	0.0611319i
$378$	−1.52220	+	20.4903i	−0.0782938	+	1.05391i
$379$	4.03427	−	18.9797i	0.207227	−	0.974924i	−0.744416	−	0.667716i	$-0.767272\pi$
$379$	4.03427	−	18.9797i	0.207227	−	0.974924i	0.951642	−	0.307208i	$-0.0993947\pi$
$380$	14.6006	−	18.3572i	0.748993	−	0.941705i
$381$	−10.9139	−	1.14709i	−0.559134	−	0.0587674i
$382$	15.9617	+	6.52965i	0.816671	+	0.334086i
$383$	−3.34873	−	15.7546i	−0.171112	−	0.805020i	−0.977048	−	0.213018i	$-0.931671\pi$
$383$	−3.34873	−	15.7546i	−0.171112	−	0.805020i	0.805936	−	0.592003i	$-0.201662\pi$
$384$	−2.44506	+	7.64277i	−0.124774	+	0.390018i
$385$	9.64590	+	46.7572i	0.491600	+	2.38297i
$386$	4.66668	−	8.68561i	0.237528	−	0.442086i
$387$	1.31763	+	1.46337i	0.0669788	+	0.0743874i
$388$	−32.8883	−	12.2946i	−1.66965	−	0.624166i
$389$	−16.3043	−	11.8458i	−0.826660	−	0.600604i	0.0919522	−	0.995763i	$-0.470689\pi$
$389$	−16.3043	−	11.8458i	−0.826660	−	0.600604i	−0.918613	+	0.395160i	$0.870689\pi$
$390$	9.98414	+	9.77106i	0.505567	+	0.494777i
$391$	0.349766	+	1.07647i	0.0176884	+	0.0544393i
$392$	9.51911	+	16.9947i	0.480788	+	0.858364i
$393$	5.01858	−	0.527474i	0.253154	−	0.0266076i
$394$	−6.65358	−	6.95009i	−0.335202	−	0.350140i
$395$	43.5719			2.19234
$396$	−5.89263	+	15.4792i	−0.296116	+	0.777861i
$397$	0.124545	+	0.215718i	0.00625073	+	0.0108266i	0.869134	−	0.494577i	$-0.164677\pi$
$397$	0.124545	+	0.215718i	0.00625073	+	0.0108266i	−0.862883	+	0.505404i	$0.831344\pi$
$398$	29.7654	−	7.28429i	1.49200	−	0.365128i
$399$	−3.26390	+	7.33083i	−0.163399	+	0.367001i
$400$	−34.7105	−	19.2360i	−1.73553	−	0.961801i
$401$	−7.11414	−	1.51216i	−0.355263	−	0.0755135i	0.0268230	−	0.999640i	$-0.491461\pi$
$401$	−7.11414	−	1.51216i	−0.355263	−	0.0755135i	−0.382086	+	0.924127i	$0.624794\pi$
$402$	−10.6309	−	8.99926i	−0.530219	−	0.448842i
$403$	−12.3599	+	4.46609i	−0.615692	+	0.222472i
$404$	33.4670	−	5.60210i	1.66505	−	0.278715i
$405$	−12.2143	−	13.5654i	−0.606935	−	0.674070i
$406$	−3.67770	+	0.112452i	−0.182521	+	0.00558088i
$407$	10.2666	+	23.4365i	0.508899	+	1.16170i
$408$	0.139029	+	1.51186i	0.00688297	+	0.0748481i
$409$	4.82161	+	22.6839i	0.238413	+	1.12165i	0.920612	+	0.390479i	$0.127691\pi$
$409$	4.82161	+	22.6839i	0.238413	+	1.12165i	−0.682199	+	0.731167i	$0.738976\pi$
$410$	−0.824006	−	6.05360i	−0.0406948	−	0.298966i
$411$	1.92723	−	2.65260i	0.0950632	−	0.130843i
$412$	14.0908	−	5.55128i	0.694203	−	0.273492i
$413$	−7.11969	+	33.4955i	−0.350337	+	1.64821i
$414$	4.36543	+	2.97216i	0.214549	+	0.146074i
$415$	−47.6299	+	34.6052i	−2.33806	+	1.69870i
$416$	14.8250	+	14.0078i	0.726856	+	0.686790i
$417$			12.1385i			0.594423i
$418$	−9.26591	+	10.8137i	−0.453211	+	0.528916i
$419$	1.78789	+	1.03224i	0.0873441	+	0.0504281i	0.543036	−	0.839709i	$-0.317275\pi$
$419$	1.78789	+	1.03224i	0.0873441	+	0.0504281i	−0.455692	+	0.890138i	$0.650608\pi$
$420$	19.7690	+	5.11160i	0.964628	+	0.249421i
$421$	16.8637	−	12.2522i	0.821887	−	0.597136i	−0.0953656	−	0.995442i	$-0.530402\pi$
$421$	16.8637	−	12.2522i	0.821887	−	0.597136i	0.917252	+	0.398307i	$0.130402\pi$
$422$	−9.06434	−	18.7912i	−0.441245	−	0.914740i
$423$	−2.29633	−	2.06763i	−0.111651	−	0.100531i
$424$	−16.8024	+	7.22030i	−0.815996	+	0.350649i
$425$	−7.46729	−	0.784844i	−0.362217	−	0.0380705i
$426$	3.07113	+	3.96622i	0.148797	+	0.192164i
$427$	22.0066	−	19.8148i	1.06497	−	0.958908i
$428$	5.13349	−	10.2974i	0.248137	−	0.497745i
$429$	−5.84076	−	6.14992i	−0.281995	−	0.296921i
$430$	3.66336	−	2.26707i	0.176663	−	0.109328i
$431$	−10.0702	−	11.1841i	−0.485064	−	0.538718i	0.450079	−	0.892989i	$-0.351396\pi$
$431$	−10.0702	−	11.1841i	−0.485064	−	0.538718i	−0.935143	+	0.354271i	$0.884729\pi$
$432$	10.6369	+	11.4045i	0.511767	+	0.548699i
$433$	−3.46617	+	32.9784i	−0.166574	+	1.58484i	0.517665	+	0.855583i	$0.326801\pi$
$433$	−3.46617	+	32.9784i	−0.166574	+	1.58484i	−0.684239	+	0.729258i	$0.739865\pi$
$434$	−12.4112	+	14.6614i	−0.595756	+	0.703769i
$435$	−1.27990	+	1.42148i	−0.0613667	+	0.0681546i
$436$	−0.655315	+	1.02875i	−0.0313839	+	0.0492680i
$437$	2.66894	+	3.67348i	0.127673	+	0.175727i
$438$	9.40785	−	9.00648i	0.449524	−	0.430346i
$439$	−0.921528	+	1.59613i	−0.0439821	+	0.0761793i	−0.887178	−	0.461427i	$-0.847338\pi$
$439$	−0.921528	+	1.59613i	−0.0439821	+	0.0761793i	0.843196	+	0.537606i	$0.180671\pi$
$440$	31.0312	+	18.7114i	1.47936	+	0.892033i
$441$	17.1963			0.818869
$442$	3.61741	+	1.34401i	0.172063	+	0.0639280i
$443$	−8.82958	−	12.1529i	−0.419506	−	0.577401i	0.545999	−	0.837786i	$-0.316150\pi$
$443$	−8.82958	−	12.1529i	−0.419506	−	0.577401i	−0.965505	+	0.260385i	$0.916150\pi$
$444$	10.9330	+	0.476821i	0.518855	+	0.0226289i
$445$	63.8940	+	13.5811i	3.02886	+	0.643805i
$446$	−7.07599	−	1.27937i	−0.335058	−	0.0605801i
$447$	7.43838	+	5.40430i	0.351823	+	0.255615i
$448$	28.9894	+	6.95535i	1.36962	+	0.328610i
$449$	21.0607	−	4.47660i	0.993917	−	0.211264i	0.317880	−	0.948131i	$-0.397029\pi$
$449$	21.0607	−	4.47660i	0.993917	−	0.211264i	0.676037	+	0.736867i	$0.263696\pi$
$450$	−29.7904	+	18.4358i	−1.40433	+	0.869074i
$451$	0.365592	+	3.69115i	0.0172151	+	0.173810i
$452$	−9.17358	−	13.8583i	−0.431489	−	0.651841i
$453$	−6.38238	+	5.74672i	−0.299870	+	0.270004i
$454$	−13.5140	+	33.0350i	−0.634245	+	1.55041i
$455$	33.4537	−	39.6806i	1.56833	−	1.86025i
$456$	2.40466	+	5.59589i	0.112608	+	0.262051i
$457$	−1.94278	+	9.14006i	−0.0908794	+	0.427554i	0.909061	+	0.416663i	$0.136800\pi$
$457$	−1.94278	+	9.14006i	−0.0908794	+	0.427554i	−0.999941	+	0.0108916i	$0.996533\pi$
$458$	17.0388	−	25.0262i	0.796173	−	1.16940i
$459$	2.69555	+	1.20013i	0.125817	+	0.0560175i
$460$	8.09796	−	8.24133i	0.377569	−	0.384254i
$461$	22.6175	−	13.0582i	1.05340	−	0.608182i	0.129802	−	0.991540i	$-0.458566\pi$
$461$	22.6175	−	13.0582i	1.05340	−	0.608182i	0.923600	+	0.383358i	$0.125232\pi$
$462$	−11.8809	−	3.54008i	−0.552748	−	0.164699i
$463$		−	23.1062i		−	1.07384i	−0.843635	−	0.536918i	$-0.819589\pi$
$463$		−	23.1062i		−	1.07384i	0.843635	−	0.536918i	$-0.180411\pi$
$464$	−1.83196	+	2.10784i	−0.0850467	+	0.0978539i
$465$	1.04383	+	9.93142i	0.0484067	+	0.460559i
$466$	−10.4202	−	7.09451i	−0.482708	−	0.328647i
$467$	−35.2836	+	11.4643i	−1.63273	+	0.530506i	−0.974896	−	0.222659i	$-0.928526\pi$
$467$	−35.2836	+	11.4643i	−1.63273	+	0.530506i	−0.657832	+	0.753165i	$0.728526\pi$
$468$	17.1847	−	5.37527i	0.794364	−	0.248472i
$469$	−30.4162	+	41.8642i	−1.40449	+	1.93311i
$470$	−5.34520	+	4.13890i	−0.246556	+	0.190913i
$471$	−7.59486	+	6.83844i	−0.349953	+	0.315099i
$472$	15.0022	+	21.2243i	0.690530	+	0.976930i
$473$	−2.27296	+	1.29418i	−0.104511	+	0.0595066i
$474$	−5.35503	+	9.96676i	−0.245965	+	0.457789i
$475$	−29.4631	+	6.26258i	−1.35186	+	0.287347i
$476$	5.56316	−	0.931226i	0.254987	−	0.0426827i
$477$	−1.68759	+	16.0564i	−0.0772695	+	0.735170i
$478$	−0.298443	+	0.107160i	−0.0136504	+	0.00490138i
$479$	6.48283	+	1.37797i	0.296208	+	0.0629609i	0.353619	−	0.935390i	$-0.384951\pi$
$479$	6.48283	+	1.37797i	0.296208	+	0.0629609i	−0.0574106	+	0.998351i	$0.518284\pi$
$480$	13.0336	−	8.38566i	0.594898	−	0.382751i
$481$	13.1157	−	24.5292i	0.598026	−	1.11843i
$482$	21.0363	−	5.14809i	0.958178	−	0.234489i
$483$	−1.97643	+	3.42329i	−0.0899309	+	0.155765i
$484$	−18.4121	−	12.0414i	−0.836914	−	0.547335i
$485$	33.9067	+	58.7282i	1.53963	+	2.66671i
$486$	20.6711	−	5.05870i	0.937658	−	0.229467i
$487$	10.0322	−	22.5327i	0.454603	−	1.02106i	−0.530278	−	0.847824i	$-0.677912\pi$
$487$	10.0322	−	22.5327i	0.454603	−	1.02106i	0.984881	−	0.173232i	$-0.0554210\pi$
$488$	0.292597	−	22.4743i	0.0132453	−	1.01736i
$489$	−1.18766	−	3.65524i	−0.0537079	−	0.165296i
$490$	6.69366	−	37.0215i	0.302389	−	1.67246i
$491$	−36.6412	+	16.3137i	−1.65359	+	0.736227i	−0.999791	−	0.0204397i	$-0.993493\pi$
$491$	−36.6412	+	16.3137i	−1.65359	+	0.736227i	−0.653801	+	0.756666i	$0.726827\pi$
$492$	1.48599	+	0.555508i	0.0669936	+	0.0250442i
$493$	−0.163280	+	0.502525i	−0.00735377	+	0.0226326i
$494$	15.4677	+	0.643427i	0.695927	+	0.0289491i
$495$	27.7991	−	15.8283i	1.24948	−	0.711430i
$496$	1.77821	+	14.4710i	0.0798441	+	0.649766i
$497$	13.8495	−	12.4702i	0.621236	−	0.559363i
$498$	−2.06192	−	15.1480i	−0.0923969	−	0.678798i
$499$	8.52395	−	11.7322i	0.381584	−	0.525206i	−0.574419	−	0.818561i	$-0.694772\pi$
$499$	8.52395	−	11.7322i	0.381584	−	0.525206i	0.956003	+	0.293356i	$0.0947720\pi$
$500$	13.9354	+	35.3720i	0.623208	+	1.58189i
$501$	−5.00562	−	4.50708i	−0.223635	−	0.201362i
$502$	0.969235	−	13.0468i	0.0432591	−	0.582309i
$503$	−20.3152	−	9.04491i	−0.905810	−	0.403293i	−0.0996720	−	0.995020i	$-0.531779\pi$
$503$	−20.3152	−	9.04491i	−0.905810	−	0.403293i	−0.806138	+	0.591728i	$0.798446\pi$
$504$	17.8635	−	19.3274i	0.795703	−	0.860910i
$505$	−56.7569	−	32.7686i	−2.52565	−	1.45818i
$506$	−5.09613	+	4.82049i	−0.226551	+	0.214297i
$507$	−1.32572	+	9.12456i	−0.0588775	+	0.405236i
$508$	22.0725	+	21.6885i	0.979309	+	0.962273i
$509$	−1.50767	−	14.3446i	−0.0668265	−	0.635812i	−0.975756	−	0.218862i	$-0.929766\pi$
$509$	−1.50767	−	14.3446i	−0.0668265	−	0.635812i	0.908929	−	0.416950i	$-0.136901\pi$
$510$	1.65026	−	2.42386i	0.0730748	−	0.107330i
$511$	−35.9584	−	32.3771i	−1.59071	−	1.43228i
$512$	18.8113	−	12.5752i	0.831350	−	0.555749i
$513$	11.7722	+	1.23731i	0.519754	+	0.0546284i
$514$	8.23378	−	1.12077i	0.363176	−	0.0494350i
$515$	−27.8190	−	9.03894i	−1.22585	−	0.398303i
$516$	0.0683471	+	1.11659i	0.00300881	+	0.0491552i
$517$	3.33492	−	2.39254i	0.146669	−	0.105224i
$518$	−1.24257	−	40.6378i	−0.0545952	−	1.78552i
$519$	4.90889	−	15.1080i	0.215476	−	0.663168i
$520$	−4.88314	−	39.0890i	−0.214140	−	1.71416i
$521$	2.22583	+	1.61716i	0.0975154	+	0.0708491i	0.635475	−	0.772122i	$-0.280805\pi$
$521$	2.22583	+	1.61716i	0.0975154	+	0.0708491i	−0.537959	+	0.842971i	$0.680805\pi$
$522$	0.833153	+	2.32035i	0.0364661	+	0.101559i
$523$	−10.6959	−	2.27348i	−0.467699	−	0.0994125i	−0.0319669	−	0.999489i	$-0.510177\pi$
$523$	−10.6959	−	2.27348i	−0.467699	−	0.0994125i	−0.435732	+	0.900076i	$0.643510\pi$
$524$	−12.0015	−	7.64497i	−0.524286	−	0.333972i
$525$	−15.4129	−	21.2141i	−0.672675	−	0.925858i
$526$	−2.34655	+	2.24644i	−0.102314	+	0.0979493i
$527$	1.37928	+	2.38898i	0.0600823	+	0.104066i
$528$	−8.09387	+	4.79851i	−0.352241	+	0.208829i
$529$	−10.3816	−	17.9815i	−0.451376	−	0.781806i
$530$	33.9105	+	9.88314i	1.47298	+	0.429296i
$531$	22.8194	−	2.39842i	0.990278	−	0.104082i
$532$	20.0709	−	10.4495i	0.870183	−	0.453041i
$533$	2.90714	−	2.79434i	0.125922	−	0.121036i
$534$	−10.9592	+	12.9462i	−0.474251	+	0.560235i
$535$	−20.3015	+	9.03879i	−0.877708	+	0.390781i
$536$	7.66513	+	38.5208i	0.331083	+	1.66385i
$537$	−0.953946	+	0.202768i	−0.0411658	+	0.00875006i
$538$	10.3198	−	6.38645i	0.444920	−	0.275339i
$539$	−4.88284	+	22.3132i	−0.210319	+	0.961099i
$540$	−1.84022	−	30.0639i	−0.0791906	−	1.29374i
$541$	28.3135	+	9.19960i	1.21729	+	0.395522i	0.846095	−	0.533032i	$-0.178948\pi$
$541$	28.3135	+	9.19960i	1.21729	+	0.395522i	0.371196	+	0.928554i	$0.378948\pi$
$542$	3.53922	−	0.481752i	0.152022	−	0.0206930i
$543$	1.63000	+	3.66104i	0.0699499	+	0.157110i
$544$	2.34692	−	3.58058i	0.100623	−	0.153516i
$545$	2.24049	−	0.727978i	0.0959719	−	0.0311832i
$546$	4.96516	+	12.5291i	0.212489	+	0.536195i
$547$	13.4023	−	9.73732i	0.573040	−	0.416338i	−0.263168	−	0.964750i	$-0.584767\pi$
$547$	13.4023	−	9.73732i	0.573040	−	0.416338i	0.836208	+	0.548412i	$0.184767\pi$
$548$	−8.90932	+	2.47123i	−0.380587	+	0.105566i
$549$	−17.1837	−	9.92104i	−0.733385	−	0.423420i
$550$	−15.4628	−	43.8898i	−0.659334	−	1.87147i
$551$			2.11971i			0.0903028i
$552$	0.889898	+	2.86522i	0.0378766	+	0.121952i
$553$	38.4007	+	17.0971i	1.63297	+	0.727043i
$554$	−2.38181	+	32.0614i	−0.101193	+	1.36216i
$555$	−15.7070	−	14.1427i	−0.666726	−	0.600323i
$556$	21.3065	−	26.7886i	0.903597	−	1.13609i
$557$	−1.57868	−	3.54578i	−0.0668910	−	0.150240i	0.877006	−	0.480479i	$-0.159537\pi$
$557$	−1.57868	−	3.54578i	−0.0668910	−	0.150240i	−0.943897	+	0.330239i	$0.892871\pi$
$558$	11.9129	+	4.87336i	0.504313	+	0.206306i
$559$	2.63390	+	1.07130i	0.111402	+	0.0453113i
$560$	−34.6562	−	45.9812i	−1.46449	−	1.94306i
$561$	−1.05505	+	1.43399i	−0.0445441	+	0.0605429i
$562$	−3.22133	+	0.0984973i	−0.135884	+	0.00415486i
$563$	1.31311	−	0.279111i	0.0553411	−	0.0117631i	−0.180158	−	0.983638i	$-0.557661\pi$
$563$	1.31311	−	0.279111i	0.0553411	−	0.0117631i	0.235499	+	0.971875i	$0.424328\pi$
$564$	−0.289814	−	1.73135i	−0.0122034	−	0.0729030i
$565$	−3.35523	+	31.9229i	−0.141156	+	1.34301i
$566$	−4.29139	+	23.7349i	−0.180381	+	0.997653i
$567$	−5.44182	−	16.7482i	−0.228535	−	0.703358i
$568$	0.184142	−	14.1438i	0.00772641	−	0.593462i
$569$	19.2635	−	2.02468i	0.807569	−	0.0848789i	0.308259	−	0.951302i	$-0.400254\pi$
$569$	19.2635	−	2.02468i	0.807569	−	0.0848789i	0.499310	+	0.866424i	$0.333587\pi$
$570$	3.29149	−	11.2936i	0.137865	−	0.473037i
$571$	35.2727			1.47612			0.738058	−	0.674737i	$-0.235743\pi$
$571$	35.2727			1.47612			0.738058	+	0.674737i	$0.235743\pi$
$572$	2.09519	+	23.8246i	0.0876043	+	0.996155i
$573$	8.64906			0.361320
$574$	1.64915	−	5.65848i	0.0688342	−	0.236180i
$575$	−14.7563	+	1.55095i	−0.615381	+	0.0646792i
$576$	−1.57012	−	19.9138i	−0.0654215	−	0.829742i
$577$	0.114496	+	0.352383i	0.00476653	+	0.0146699i	0.953411	−	0.301673i	$-0.0975450\pi$
$577$	0.114496	+	0.352383i	0.00476653	+	0.0146699i	−0.948645	+	0.316343i	$0.897545\pi$
$578$	−4.13337	+	22.8610i	−0.171926	+	0.950890i
$579$	0.516889	−	4.91787i	0.0214812	−	0.204380i
$580$	5.31974	−	0.890480i	0.220890	−	0.0369752i
$581$	−55.5558	+	11.8087i	−2.30484	+	0.489909i
$582$	−17.6008	+	0.538174i	−0.729578	+	0.0223080i
$583$	−20.3550	−	6.74893i	−0.843017	−	0.279512i
$584$	−36.5713	+	3.36307i	−1.51333	+	0.139165i
$585$	−32.2135	−	13.1024i	−1.33186	−	0.541718i
$586$	31.5582	+	12.9099i	1.30366	+	0.533304i
$587$	13.5882	+	30.5196i	0.560846	+	1.25968i	0.942138	+	0.335226i	$0.108813\pi$
$587$	13.5882	+	30.5196i	0.560846	+	1.25968i	−0.381292	+	0.924455i	$0.624521\pi$
$588$	7.64574	+	6.08110i	0.315305	+	0.250780i
$589$	8.22396	+	7.40489i	0.338863	+	0.305113i
$590$	3.71898	−	50.0610i	0.153108	−	2.06098i
$591$	−4.40823	−	1.96267i	−0.181330	−	0.0807335i
$592$	−23.2912	−	20.2428i	−0.957261	−	0.831974i
$593$			5.98948i			0.245958i	0.992409	+	0.122979i	$0.0392448\pi$
$593$			5.98948i			0.245958i	−0.992409	+	0.122979i	$0.960755\pi$
$594$	0.449279	+	18.2813i	0.0184342	+	0.750091i
$595$	−9.43459	−	5.44706i	−0.386781	−	0.223308i
$596$	−6.92978	−	24.9834i	−0.283855	−	1.02336i
$597$	12.4334	−	9.03338i	0.508864	−	0.369712i
$598$	7.54445	+	1.11165i	0.308515	+	0.0454587i
$599$	13.3921	−	4.35134i	0.547185	−	0.177791i	−0.0223623	−	0.999750i	$-0.507119\pi$
$599$	13.3921	−	4.35134i	0.547185	−	0.177791i	0.569547	+	0.821959i	$0.307119\pi$
$600$	−19.7648	−	2.33788i	−0.806893	−	0.0954436i
$601$	−4.22154	−	9.48172i	−0.172200	−	0.386768i	0.806743	−	0.590903i	$-0.201228\pi$
$601$	−4.22154	−	9.48172i	−0.172200	−	0.386768i	−0.978943	+	0.204135i	$0.934562\pi$
$602$	4.11815	−	0.560556i	0.167843	−	0.0228466i
$603$	32.9761	+	10.7146i	1.34289	+	0.436332i
$604$	24.1725	−	1.47961i	0.983566	−	0.0602045i
$605$	12.6448	+	40.5655i	0.514083	+	1.64922i
$606$	14.4711	−	8.95544i	0.587846	−	0.363790i
$607$	−17.9632	+	3.81819i	−0.729103	+	0.154976i	−0.557484	−	0.830188i	$-0.688233\pi$
$607$	−17.9632	+	3.81819i	−0.729103	+	0.154976i	−0.171619	+	0.985163i	$0.554900\pi$
$608$	4.51552	−	16.5705i	0.183129	−	0.672024i
$609$	−1.68577	+	0.750554i	−0.0683110	+	0.0304140i
$610$	−28.0476	+	33.1328i	−1.13561	+	1.34151i
$611$	−4.28621	−	1.23986i	−0.173401	−	0.0501592i
$612$	−1.74532	−	3.35234i	−0.0705504	−	0.135510i
$613$	4.37321	−	0.459643i	0.176632	−	0.0185648i	−0.0157994	−	0.999875i	$-0.505029\pi$
$613$	4.37321	−	0.459643i	0.176632	−	0.0185648i	0.192432	+	0.981310i	$0.438363\pi$
$614$	26.8951	+	7.83851i	1.08540	+	0.316337i
$615$	−1.53201	−	2.65351i	−0.0617764	−	0.107000i
$616$	20.0062	+	28.6670i	0.806074	+	1.15503i
$617$	−11.5713	−	20.0420i	−0.465842	−	0.806861i	0.533398	−	0.845865i	$-0.320915\pi$
$617$	−11.5713	−	20.0420i	−0.465842	−	0.806861i	−0.999239	+	0.0390035i	$0.987582\pi$
$618$	5.48657	−	5.25250i	0.220702	−	0.211287i
$619$	14.9727	+	20.6082i	0.601805	+	0.828313i	0.995872	−	0.0907682i	$-0.0289322\pi$
$619$	14.9727	+	20.6082i	0.601805	+	0.828313i	−0.394067	+	0.919082i	$0.628932\pi$
$620$	15.1289	−	23.7501i	0.607590	−	0.953825i
$621$	5.70343	+	1.21230i	0.228871	+	0.0486480i
$622$	14.4141	+	40.1437i	0.577955	+	1.60962i
$623$	50.9819	+	37.0405i	2.04255	+	1.48400i
$624$	9.54146	+	3.68709i	0.381964	+	0.147602i
$625$	7.36152	−	22.6564i	0.294461	−	0.906257i
$626$	−0.478882	−	15.6617i	−0.0191400	−	0.625968i
$627$	−2.24767	+	6.77904i	−0.0897634	+	0.270729i
$628$	28.7647	−	1.76070i	1.14784	−	0.0702595i
$629$	−5.55279	−	1.80421i	−0.221404	−	0.0719386i
$630$	−50.3664	+	6.85579i	−2.00665	+	0.273141i
$631$	36.4789	+	3.83409i	1.45220	+	0.152633i	0.797530	−	0.603280i	$-0.206140\pi$
$631$	36.4789	+	3.83409i	1.45220	+	0.152633i	0.654673	+	0.755913i	$0.272806\pi$
$632$	29.3127	−	12.5962i	1.16599	−	0.501050i
$633$	−7.77576	−	7.00133i	−0.309059	−	0.278278i
$634$	3.05619	−	4.48884i	0.121377	−	0.178275i
$635$	−6.24732	−	59.4393i	−0.247918	−	2.35878i
$636$	−6.42833	+	6.54214i	−0.254900	+	0.259413i
$637$	22.3433	−	10.8332i	0.885273	−	0.429228i
$638$	−3.24738	+	0.422211i	−0.128565	+	0.0167155i
$639$	−10.8143	−	6.24365i	−0.427808	−	0.246995i
$640$	−43.4832	−	4.37120i	−1.71883	−	0.172787i
$641$	−28.3410	−	12.6182i	−1.11940	−	0.498391i	−0.238242	−	0.971206i	$-0.576571\pi$
$641$	−28.3410	−	12.6182i	−1.11940	−	0.498391i	−0.881162	+	0.472815i	$0.843238\pi$
$642$	0.427509	−	5.75469i	0.0168724	−	0.227119i
$643$	6.41093	+	5.77242i	0.252822	+	0.227642i	0.785790	−	0.618493i	$-0.212257\pi$
$643$	6.41093	+	5.77242i	0.252822	+	0.227642i	−0.532968	+	0.846136i	$0.678923\pi$
$644$	10.3707	−	4.08569i	0.408662	−	0.160999i
$645$	1.26998	−	1.74797i	0.0500052	−	0.0688263i
$646$	−0.438279	−	3.21984i	−0.0172438	−	0.126683i
$647$	−3.06641	+	2.76101i	−0.120553	+	0.108547i	−0.727203	−	0.686423i	$-0.759180\pi$
$647$	−3.06641	+	2.76101i	−0.120553	+	0.108547i	0.606649	+	0.794970i	$0.292513\pi$
$648$	−12.1387	−	5.59497i	−0.476854	−	0.219791i
$649$	−3.36743	+	30.2907i	−0.132183	+	1.18901i
$650$	−27.0929	+	42.7212i	−1.06267	+	1.67566i
$651$	−2.97702	+	9.16233i	−0.116679	+	0.359100i
$652$	−3.79494	+	10.1515i	−0.148621	+	0.397564i
$653$	24.7606	−	11.0241i	0.968956	−	0.431407i	0.139649	−	0.990201i	$-0.455402\pi$
$653$	24.7606	−	11.0241i	0.968956	−	0.431407i	0.829306	+	0.558794i	$0.188736\pi$
$654$	−0.108838	+	0.601964i	−0.00425590	+	0.0235387i
$655$	8.49267	+	26.1378i	0.331836	+	1.02129i
$656$	−2.30438	−	3.83430i	−0.0899708	−	0.149704i
$657$	−13.1870	+	29.6186i	−0.514476	+	1.15553i
$658$	−6.33488	+	1.55029i	−0.246959	+	0.0604368i
$659$	−9.94606	−	17.2271i	−0.387444	−	0.671072i	0.604661	−	0.796483i	$-0.293308\pi$
$659$	−9.94606	−	17.2271i	−0.387444	−	0.671072i	−0.992105	+	0.125411i	$0.959975\pi$
$660$	17.9573	+	2.79304i	0.698986	+	0.108719i
$661$	3.46804	−	6.00682i	0.134891	−	0.233638i	−0.790665	−	0.612249i	$-0.790265\pi$
$661$	3.46804	−	6.00682i	0.134891	−	0.233638i	0.925556	+	0.378611i	$0.123598\pi$
$662$	−41.0339	+	10.0420i	−1.59483	+	0.390292i
$663$	1.93435	−	0.0630409i	0.0751241	−	0.00244831i
$664$	−22.0386	+	37.0496i	−0.855265	+	1.43781i
$665$	−42.7487	−	9.08651i	−1.65772	−	0.352360i
$666$	−25.6394	+	9.20617i	−0.993506	+	0.356732i
$667$	−0.109144	+	1.03844i	−0.00422608	+	0.0402085i
$668$	3.13576	+	18.7331i	0.121326	+	0.724804i
$669$	−3.52750	+	0.749793i	−0.136381	+	0.0289887i
$670$	35.9032	−	66.8230i	1.38706	−	2.58160i
$671$	17.7525	−	19.4800i	0.685327	−	0.752015i
$672$	14.7771	−	2.27622i	0.570041	−	0.0878071i
$673$	−10.3292	+	9.30049i	−0.398163	+	0.358508i	−0.843755	−	0.536729i	$-0.819660\pi$
$673$	−10.3292	+	9.30049i	−0.398163	+	0.358508i	0.445592	+	0.895236i	$0.352993\pi$
$674$	−30.2454	+	23.4197i	−1.16501	+	0.902092i
$675$	−22.7355	+	31.2927i	−0.875089	+	1.20446i
$676$	18.9420	−	17.8101i	0.728539	−	0.685005i
$677$	−30.0459	+	9.76250i	−1.15476	+	0.375203i	−0.822933	−	0.568138i	$-0.807664\pi$
$677$	−30.0459	+	9.76250i	−1.15476	+	0.375203i	−0.331824	+	0.943341i	$0.607664\pi$
$678$	−6.88978	−	4.69084i	−0.264600	−	0.180151i
$679$	6.83838	+	65.0628i	0.262433	+	2.49688i
$680$	−7.89655	+	2.45256i	−0.302819	+	0.0940515i
$681$			17.9005i			0.685947i
$682$	−9.70614	+	14.0740i	−0.371667	+	0.538919i
$683$	−32.5290	+	18.7806i	−1.24469	+	0.718620i	−0.970045	−	0.242927i	$-0.921892\pi$
$683$	−32.5290	+	18.7806i	−1.24469	+	0.718620i	−0.274641	+	0.961547i	$0.588559\pi$
$684$	−10.8148	−	10.6267i	−0.413514	−	0.406320i
$685$	16.3132	+	7.26312i	0.623296	+	0.277509i
$686$	−0.335453	+	0.492703i	−0.0128076	+	0.0188115i
$687$	3.15694	−	14.8522i	0.120445	−	0.566648i
$688$	1.80910	−	2.58419i	0.0689715	−	0.0985215i
$689$	7.92243	+	21.9254i	0.301820	+	0.835290i
$690$	2.19400	−	5.36321i	0.0835240	−	0.204174i
$691$	23.3884	−	21.0590i	0.889738	−	0.801124i	−0.0911217	−	0.995840i	$-0.529045\pi$
$691$	23.3884	−	21.0590i	0.889738	−	0.801124i	0.980860	+	0.194716i	$0.0623785\pi$
$692$	−37.3525	+	24.7256i	−1.41993	+	0.939927i
$693$	30.7107	−	3.04176i	1.16660	−	0.115547i
$694$	−20.8824	+	12.9231i	−0.792687	+	0.490555i
$695$	−64.6641	+	13.7448i	−2.45285	+	0.521369i
$696$	−0.450110	+	1.32629i	−0.0170614	+	0.0502730i
$697$	−0.684751	−	0.497501i	−0.0259368	−	0.0188442i
$698$	30.0728	+	5.43731i	1.13827	+	0.205805i
$699$	−6.18407	−	1.31446i	−0.233903	−	0.0497176i
$700$	−3.22179	+	73.8718i	−0.121772	+	2.79209i
$701$	−1.54276	−	2.12343i	−0.0582692	−	0.0802007i	0.778888	−	0.627163i	$-0.215784\pi$
$701$	−1.54276	−	2.12343i	−0.0582692	−	0.0802007i	−0.837157	+	0.546962i	$0.815784\pi$
$702$	15.3137	−	12.6767i	0.577979	−	0.478452i
$703$	−23.4224			−0.883392
$704$	26.2853	+	3.61716i	0.990664	+	0.136327i
$705$	−1.69522	+	2.93621i	−0.0638457	+	0.110584i
$706$	12.2062	−	11.6855i	0.459387	−	0.439788i
$707$	−37.1629	−	51.1503i	−1.39765	−	1.92370i
$708$	10.9940	+	7.00324i	0.413181	+	0.263198i
$709$	−9.26337	+	10.2880i	−0.347893	+	0.386374i	−0.891542	−	0.452938i	$-0.850376\pi$
$709$	−9.26337	+	10.2880i	−0.347893	+	0.386374i	0.543649	+	0.839313i	$0.317042\pi$
$710$	−17.6513	+	20.8516i	−0.662443	+	0.782547i
$711$	2.94409	−	28.0112i	0.110412	−	1.05050i
$712$	46.9103	−	9.33452i	1.75804	−	0.349826i
$713$	3.64761	+	4.05108i	0.136604	+	0.151714i
$714$	2.40550	−	1.48865i	0.0900234	−	0.0557112i
$715$	26.1482	−	38.0787i	0.977887	−	1.42406i
$716$	2.46120	+	1.22696i	0.0919792	+	0.0458537i
$717$	−0.118184	+	0.106413i	−0.00441364	+	0.00397406i
$718$	−15.9260	−	20.5677i	−0.594352	−	0.767578i
$719$	42.9827	+	4.51767i	1.60299	+	0.168481i	0.863378	−	0.504558i	$-0.168345\pi$
$719$	42.9827	+	4.51767i	1.60299	+	0.168481i	0.739607	+	0.673039i	$0.235011\pi$
$720$	−22.1260	+	31.6056i	−0.824586	+	1.17787i
$721$	−20.9706	−	18.8820i	−0.780986	−	0.703203i
$722$	6.01041	+	12.4601i	0.223684	+	0.463717i
$723$	8.78714	−	6.38423i	0.326797	−	0.237432i
$724$	2.82891	−	10.9407i	0.105135	−	0.406609i
$725$	−5.99861	−	3.46330i	−0.222783	−	0.128624i
$726$	−10.8331	−	2.09314i	−0.402055	−	0.0776837i
$727$			14.6418i			0.543034i	0.962434	+	0.271517i	$0.0875254\pi$
$727$			14.6418i			0.543034i	−0.962434	+	0.271517i	$0.912475\pi$
$728$	11.0344	−	36.3659i	0.408964	−	1.34781i
$729$	−2.83476	+	2.05957i	−0.104991	+	0.0762804i
$730$	58.6322	+	39.9192i	2.17008	+	1.47748i
$731$	0.124091	−	0.583802i	0.00458967	−	0.0215927i
$732$	−4.13181	−	10.4877i	−0.152716	−	0.387638i
$733$	16.1776	−	22.2666i	0.597535	−	0.822436i	−0.397945	−	0.917409i	$-0.630276\pi$
$733$	16.1776	−	22.2666i	0.597535	−	0.822436i	0.995480	+	0.0949730i	$0.0302765\pi$
$734$	0.760078	+	5.58395i	0.0280550	+	0.206107i
$735$	−3.92290	−	18.4558i	−0.144698	−	0.680753i
$736$	3.06535	−	7.88533i	0.112990	−	0.290657i
$737$	−23.2664	+	39.7462i	−0.857028	+	1.46407i
$738$	−3.94737	+	0.120697i	−0.145305	+	0.00444292i
$739$	2.41538	+	2.68256i	0.0888514	+	0.0986794i	0.785931	−	0.618314i	$-0.212184\pi$
$739$	2.41538	+	2.68256i	0.0888514	+	0.0986794i	−0.697079	+	0.716994i	$0.745518\pi$
$740$	9.83962	+	58.7820i	0.361712	+	2.16087i
$741$	7.30205	−	2.63849i	0.268247	−	0.0969275i
$742$	26.0079	+	22.0163i	0.954781	+	0.808243i
$743$	−16.7306	−	3.55620i	−0.613786	−	0.130464i	−0.109480	−	0.993989i	$-0.534918\pi$
$743$	−16.7306	−	3.55620i	−0.613786	−	0.130464i	−0.504306	+	0.863525i	$0.668252\pi$
$744$	3.57330	+	6.37952i	0.131004	+	0.233885i
$745$	−20.3671	+	45.7453i	−0.746193	+	1.67598i
$746$	−13.9278	+	3.40846i	−0.509932	+	0.124793i
$747$	19.0284	+	32.9581i	0.696213	+	1.20588i
$748$	4.84546	−	1.31278i	0.177167	−	0.0479998i
$749$	−21.4388			−0.783355
$750$	13.1853	+	13.7729i	0.481461	+	0.502916i
$751$	36.0956	−	3.79380i	1.31715	−	0.138438i	0.580247	−	0.814441i	$-0.302956\pi$
$751$	36.0956	−	3.79380i	1.31715	−	0.138438i	0.736899	+	0.676003i	$0.236289\pi$
$752$	−2.39943	+	4.32965i	−0.0874981	+	0.157886i
$753$	−2.02756	−	6.24017i	−0.0738882	−	0.227405i
$754$	2.54429	+	2.48999i	0.0926577	+	0.0906802i
$755$	−37.8409	−	27.4930i	−1.37717	−	1.00057i
$756$	10.1749	−	27.2179i	0.370057	−	0.989906i
$757$	3.21845	+	3.57445i	0.116976	+	0.129916i	0.798789	−	0.601612i	$-0.205475\pi$
$757$	3.21845	+	3.57445i	0.116976	+	0.129916i	−0.681812	+	0.731527i	$0.738808\pi$
$758$	−12.9878	+	24.1729i	−0.471739	+	0.877999i
$759$	−1.45018	+	3.20529i	−0.0526382	+	0.116345i
$760$	−27.0876	+	19.1465i	−0.982570	+	0.694517i
$761$	−3.72421	−	17.5210i	−0.135003	−	0.635137i	−0.992662	−	0.120920i	$-0.961416\pi$
$761$	−3.72421	−	17.5210i	−0.135003	−	0.635137i	0.857660	−	0.514218i	$-0.171918\pi$
$762$	14.3641	+	5.87612i	0.520357	+	0.212869i
$763$	2.26023	+	0.237560i	0.0818259	+	0.00860024i
$764$	−19.0878	−	15.1816i	−0.690571	−	0.549251i
$765$	−1.51768	+	7.14010i	−0.0548717	+	0.258151i
$766$	−1.68751	+	22.7155i	−0.0609721	+	0.820743i
$767$	28.1386	−	17.4920i	1.01602	−	0.631599i
$768$	6.34401	−	9.40925i	0.228920	−	0.339527i
$769$	18.9530	+	10.9425i	0.683464	+	0.394598i	0.801159	−	0.598452i	$-0.204217\pi$
$769$	18.9530	+	10.9425i	0.683464	+	0.394598i	−0.117695	+	0.993050i	$0.537551\pi$
$770$	5.40563	−	67.3004i	0.194805	−	2.42534i
$771$	3.60916	−	2.08375i	0.129981	−	0.0750444i
$772$	−9.77302	+	9.94604i	−0.351739	+	0.357966i
$773$	17.7993	+	7.92478i	0.640198	+	0.285034i	0.701050	−	0.713112i	$-0.252715\pi$
$773$	17.7993	+	7.92478i	0.640198	+	0.285034i	−0.0608519	+	0.998147i	$0.519382\pi$
$774$	−1.20991	−	2.50825i	−0.0434893	−	0.0901572i
$775$	−34.3920	+	11.1746i	−1.23540	+	0.401405i
$776$	39.7882	+	29.7068i	1.42831	+	1.06641i
$777$	−8.29347	−	18.6274i	−0.297527	−	0.668255i
$778$	17.4493	+	22.5350i	0.625588	+	0.807918i
$779$	−3.22929	−	1.04926i	−0.115701	−	0.0375937i
$780$	−9.68926	−	17.2172i	−0.346931	−	0.616474i
$781$	11.1723	−	12.2594i	0.399775	−	0.438676i
$782$	−0.0489211	−	1.59995i	−0.00174941	−	0.0572141i
$783$	1.82137	+	2.02284i	0.0650906	+	0.0722904i
$784$	−6.19942	−	26.8410i	−0.221408	−	0.958606i
$785$	−45.0297	−	32.7160i	−1.60718	−	1.16768i
$786$	−7.02258	−	1.26972i	−0.250487	−	0.0452893i
$787$	−30.8946	+	34.3119i	−1.10127	+	1.22309i	−0.128407	+	0.991721i	$0.540987\pi$
$787$	−30.8946	+	34.3119i	−1.10127	+	1.22309i	−0.972867	+	0.231367i	$0.925680\pi$
$788$	6.28354	+	12.0692i	0.223842	+	0.429946i
$789$	−0.662653	+	1.48834i	−0.0235911	+	0.0529864i
$790$	−59.1587	−	17.2417i	−2.10477	−	0.613431i
$791$	−15.4832	+	26.8177i	−0.550519	+	0.953527i
$792$	14.1258	−	18.6848i	0.501938	−	0.663935i
$793$	−28.5771	−	2.06517i	−1.01480	−	0.0733362i
$794$	−0.0837369	−	0.342169i	−0.00297171	−	0.0121431i
$795$	17.6174	−	1.85166i	0.624825	−	0.0656718i
$796$	−43.2956	−	1.88826i	−1.53457	−	0.0669276i
$797$	21.6526	−	24.0476i	0.766974	−	0.851811i	−0.225503	−	0.974243i	$-0.572402\pi$
$797$	21.6526	−	24.0476i	0.766974	−	0.851811i	0.992477	+	0.122431i	$0.0390691\pi$
$798$	7.33233	−	8.66171i	0.259562	−	0.306621i
$799$	−0.0978983	+	0.931440i	−0.00346339	+	0.0329520i
$800$	39.5155	+	39.8524i	1.39708	+	1.40899i
$801$	13.0481	−	40.1580i	0.461033	−	1.41891i
$802$	9.06068	+	4.86820i	0.319944	+	0.171902i
$803$	−34.6876	−	25.5212i	−1.22410	−	0.900623i
$804$	10.8727	+	16.4252i	0.383452	+	0.579272i
$805$	−20.4745	−	6.65258i	−0.721632	−	0.234473i
$806$	18.5487	−	1.17283i	0.653348	−	0.0413111i
$807$	3.57758	−	4.92411i	0.125937	−	0.173337i
$808$	−47.6558	−	5.63698i	−1.67652	−	0.198308i
$809$	−5.35066	+	25.1729i	−0.188119	+	0.885031i	0.778266	+	0.627934i	$0.216099\pi$
$809$	−5.35066	+	25.1729i	−0.188119	+	0.885031i	−0.966386	+	0.257097i	$0.917234\pi$
$810$	11.2158	+	23.2514i	0.394083	+	0.816970i
$811$	−13.6285	+	9.90171i	−0.478563	+	0.347696i	−0.800769	−	0.598973i	$-0.795576\pi$
$811$	−13.6285	+	9.90171i	−0.478563	+	0.347696i	0.322206	+	0.946669i	$0.395576\pi$
$812$	5.03780	+	1.30261i	0.176792	+	0.0457126i
$813$	1.55137	−	0.895682i	0.0544088	−	0.0314129i
$814$	−4.66534	−	35.8828i	−0.163520	−	1.25769i
$815$	18.1274	−	10.4659i	0.634976	−	0.366603i
$816$	0.409487	−	2.10770i	0.0143349	−	0.0737843i
$817$	−0.250277	−	2.38123i	−0.00875610	−	0.0833087i
$818$	2.42972	−	32.7064i	0.0849532	−	1.14355i
$819$	−23.2491	−	24.1876i	−0.812390	−	0.845183i
$820$	−1.27667	+	8.54519i	−0.0445833	+	0.298411i
$821$	−0.472334	−	1.06088i	−0.0164846	−	0.0370250i	0.905116	−	0.425166i	$-0.139784\pi$
$821$	−0.472334	−	1.06088i	−0.0164846	−	0.0370250i	−0.921600	+	0.388141i	$0.873117\pi$
$822$	−3.66630	+	2.83889i	−0.127877	+	0.0990176i
$823$	1.85225	+	8.71416i	0.0645654	+	0.303757i	0.998567	−	0.0535119i	$-0.0170415\pi$
$823$	1.85225	+	8.71416i	0.0645654	+	0.303757i	−0.934002	+	0.357268i	$0.883708\pi$
$824$	−21.3281	+	1.96131i	−0.742998	+	0.0683255i
$825$	−15.5118	−	17.4367i	−0.540050	−	0.607068i
$826$	22.9210	−	42.6604i	0.797522	−	1.48435i
$827$	−13.9803	+	43.0269i	−0.486142	+	1.49619i	0.344179	+	0.938904i	$0.388157\pi$
$827$	−13.9803	+	43.0269i	−0.486142	+	1.49619i	−0.830320	+	0.557286i	$0.811843\pi$
$828$	−4.75095	−	5.76281i	−0.165107	−	0.200271i
$829$	−16.7708	+	7.46685i	−0.582475	+	0.259335i	−0.676752	−	0.736212i	$-0.736613\pi$
$829$	−16.7708	+	7.46685i	−0.582475	+	0.259335i	0.0942766	+	0.995546i	$0.469946\pi$
$830$	78.3618	−	28.1369i	2.71998	−	0.976645i
$831$	4.98253	+	15.3347i	0.172842	+	0.531954i
$832$	−14.5853	−	24.8851i	−0.505655	−	0.862736i
$833$	−3.06360	−	4.21668i	−0.106147	−	0.146099i
$834$	4.80326	−	16.4807i	0.166323	−	0.570680i
$835$	18.3421	−	31.7695i	0.634756	−	1.09943i
$836$	16.8596	−	11.0155i	0.583102	−	0.380978i
$837$	14.2108			0.491198
$838$	−2.01900	−	2.10897i	−0.0697452	−	0.0728533i
$839$	−4.30399	+	9.66692i	−0.148590	+	0.333739i	−0.972471	−	0.233024i	$-0.925138\pi$
$839$	−4.30399	+	9.66692i	−0.148590	+	0.333739i	0.823881	+	0.566763i	$0.191805\pi$
$840$	−24.8182	−	14.7629i	−0.856308	−	0.509367i
$841$	19.0786	−	21.1890i	0.657884	−	0.730654i
$842$	−27.7445	+	9.96205i	−0.956140	+	0.343315i
$843$	−1.47658	+	0.657417i	−0.0508562	+	0.0226427i
$844$	4.87110	+	29.1000i	0.167670	+	1.00166i
$845$	−50.1096	+	3.26963i	−1.72382	+	0.112479i
$846$	2.29962	+	3.71594i	0.0790624	+	0.127757i
$847$	−4.77336	+	40.7128i	−0.164015	+	1.39891i
$848$	25.6701	−	3.15438i	0.881516	−	0.108322i
$849$	2.51502	+	11.8322i	0.0863153	+	0.406082i
$850$	9.82796	+	4.02045i	0.337096	+	0.137900i
$851$	−11.4745	−	1.20602i	−0.393342	−	0.0413419i
$852$	−2.60029	−	6.60029i	−0.0890844	−	0.226122i
$853$	−26.9162	+	8.74561i	−0.921594	+	0.299444i	−0.731120	−	0.682249i	$-0.761002\pi$
$853$	−26.9162	+	8.74561i	−0.921594	+	0.299444i	−0.190473	+	0.981692i	$0.561002\pi$
$854$	−37.7198	+	18.1950i	−1.29074	+	0.622619i
$855$	3.06098	+	29.1233i	0.104683	+	0.995995i
$856$	−11.0446	+	11.9497i	−0.377497	+	0.408433i
$857$			43.5629i			1.48808i	0.668136	+	0.744039i	$0.267093\pi$
$857$			43.5629i			1.48808i	−0.668136	+	0.744039i	$0.732907\pi$
$858$	5.49659	+	10.6611i	0.187650	+	0.363964i
$859$		−	13.9858i		−	0.477188i	−0.971119	−	0.238594i	$-0.923314\pi$
$859$		−	13.9858i		−	0.477188i	0.971119	−	0.238594i	$-0.0766865\pi$
$860$	−5.87092	+	1.62845i	−0.200197	+	0.0555298i
$861$	−0.308978	−	2.93973i	−0.0105299	−	0.100186i
$862$	9.24694	+	19.1697i	0.314952	+	0.652923i
$863$	−30.5691	+	9.93249i	−1.04058	+	0.338106i	−0.778966	−	0.627066i	$-0.784256\pi$
$863$	−30.5691	+	9.93249i	−1.04058	+	0.338106i	−0.261617	+	0.965172i	$0.584256\pi$
$864$	−9.92915	−	19.6932i	−0.337796	−	0.669977i
$865$	86.0421	+	9.04338i	2.92552	+	0.307484i
$866$	17.7558	−	43.4040i	0.603368	−	1.47493i
$867$	2.42241	+	11.3966i	0.0822695	+	0.387047i
$868$	22.6526	−	14.9950i	0.768879	−	0.508962i
$869$	35.5103	+	11.7739i	1.20461	+	0.399401i
$870$	2.30024	−	1.42351i	0.0779856	−	0.0482615i
$871$	49.5962	−	6.85259i	1.68050	−	0.232191i
$872$	1.29682	−	1.13744i	0.0439158	−	0.0385187i
$873$	40.0457	−	17.8295i	1.35534	−	0.603438i
$874$	−2.17007	−	6.04370i	−0.0734038	−	0.204431i
$875$	47.3995	−	52.6425i	1.60240	−	1.77964i
$876$	−16.3372	+	8.50559i	−0.551982	+	0.287377i
$877$	4.31505	−	9.69176i	0.145709	−	0.327267i	−0.825917	−	0.563792i	$-0.809342\pi$
$877$	4.31505	−	9.69176i	0.145709	−	0.327267i	0.971625	+	0.236525i	$0.0760085\pi$
$878$	1.88278	−	1.80246i	0.0635408	−	0.0608299i
$879$	17.1003			0.576777
$880$	−34.7276	−	37.6842i	−1.17067	−	1.27033i
$881$	9.28385	−	16.0801i	0.312781	−	0.541752i	−0.666182	−	0.745789i	$-0.732073\pi$
$881$	9.28385	−	16.0801i	0.312781	−	0.541752i	0.978963	+	0.204037i	$0.0654061\pi$
$882$	−23.3478	−	6.80465i	−0.786161	−	0.229125i
$883$	−14.2304	−	19.5865i	−0.478892	−	0.659138i	0.499400	−	0.866372i	$-0.333554\pi$
$883$	−14.2304	−	19.5865i	−0.478892	−	0.659138i	−0.978291	+	0.207234i	$0.933554\pi$
$884$	−4.37961	−	3.25622i	−0.147302	−	0.109519i
$885$	−7.77978	−	23.9437i	−0.261514	−	0.804858i
$886$	7.17918	+	19.9942i	0.241189	+	0.671718i
$887$	−5.08073	+	2.26209i	−0.170594	+	0.0759535i	−0.490257	−	0.871578i	$-0.663097\pi$
$887$	−5.08073	+	2.26209i	−0.170594	+	0.0759535i	0.319663	+	0.947531i	$0.396430\pi$
$888$	−14.6553	−	4.97362i	−0.491799	−	0.166904i
$889$	17.8174	−	54.8363i	0.597577	−	1.83915i
$890$	−81.3763	−	43.7226i	−2.72774	−	1.46558i
$891$	−6.28886	−	14.3561i	−0.210685	−	0.480946i
$892$	9.10100	+	4.53705i	0.304724	+	0.151912i
$893$	0.781170	+	3.67512i	0.0261409	+	0.122983i
$894$	−7.96076	−	10.2810i	−0.266248	−	0.343847i
$895$	−2.16037	−	4.85227i	−0.0722132	−	0.162193i
$896$	−36.6073	−	20.9147i	−1.22297	−	0.698712i
$897$	3.71310	−	0.916604i	0.123977	−	0.0306045i
$898$	−30.3661	−	2.25586i	−1.01333	−	0.0752791i
$899$	0.266004	+	2.53086i	0.00887173	+	0.0844088i
$900$	47.7423	−	13.2426i	1.59141	−	0.441419i
$901$	4.23783	−	2.44671i	0.141182	−	0.0815117i
$902$	0.964236	−	5.15624i	0.0321055	−	0.171684i
$903$	1.80514	−	1.04220i	0.0600711	−	0.0346821i
$904$	6.97138	+	22.4458i	0.231865	+	0.746538i
$905$	−17.6574	+	12.8288i	−0.586952	+	0.426445i
$906$	10.9395	−	5.27692i	0.363441	−	0.175314i
$907$	11.5371	−	54.2776i	0.383082	−	1.80226i	−0.188904	−	0.981996i	$-0.560493\pi$
$907$	11.5371	−	54.2776i	0.383082	−	1.80226i	0.571986	−	0.820264i	$-0.306173\pi$
$908$	31.4205	−	39.5048i	1.04273	−	1.31101i
$909$	−24.9010	+	34.2733i	−0.825914	+	1.13677i
$910$	−61.1227	+	40.6375i	−2.02620	+	1.34712i
$911$	29.6225	+	9.62494i	0.981438	+	0.318888i	0.755424	−	0.655236i	$-0.227431\pi$
$911$	29.6225	+	9.62494i	0.981438	+	0.318888i	0.226013	+	0.974124i	$0.427431\pi$
$912$	−1.05054	−	8.54921i	−0.0347868	−	0.283093i
$913$	−48.1684	+	15.3322i	−1.59414	+	0.507421i
$914$	6.25454	−	11.6409i	0.206882	−	0.385048i
$915$	−6.72767	+	20.7056i	−0.222410	+	0.684507i
$916$	−33.0371	+	27.2363i	−1.09157	+	0.899912i
$917$	−2.77140	+	26.3681i	−0.0915197	+	0.870752i
$918$	−3.18491	−	2.69610i	−0.105118	−	0.0889844i
$919$	22.9677	−	25.5082i	0.757634	−	0.841437i	−0.233768	−	0.972292i	$-0.575106\pi$
$919$	22.9677	−	25.5082i	0.757634	−	0.841437i	0.991402	+	0.130855i	$0.0417723\pi$
$920$	−14.2559	+	7.98505i	−0.470005	+	0.263259i
$921$	13.9727	−	1.46859i	0.460416	−	0.0483917i
$922$	−35.8756	+	8.77960i	−1.18150	+	0.289141i
$923$	−17.9845	−	1.29968i	−0.591968	−	0.0427795i
$924$	14.7301	+	9.50778i	0.484586	+	0.312783i
$925$	38.2687	−	66.2834i	1.25827	−	2.17939i
$926$	−9.14325	+	31.3718i	−0.300466	+	1.03094i
$927$	−7.69057	+	17.2733i	−0.252591	+	0.567330i
$928$	3.32139	−	2.13695i	0.109030	−	0.0701487i
$929$	7.40042	−	8.21899i	0.242800	−	0.269656i	−0.609412	−	0.792854i	$-0.708594\pi$
$929$	7.40042	−	8.21899i	0.242800	−	0.269656i	0.852211	+	0.523197i	$0.175261\pi$
$930$	2.51268	−	13.8972i	0.0823940	−	0.455707i
$931$	−16.9160	−	12.2902i	−0.554399	−	0.402794i
$932$	11.3405	+	13.7557i	0.371469	+	0.450584i
$933$	14.3137	+	15.8969i	0.468609	+	0.520443i
$934$	52.4419	−	1.60349i	1.71595	−	0.0524679i
$935$	−8.83380	−	3.99670i	−0.288896	−	0.130706i
$936$	−25.4591	+	0.498048i	−0.832158	+	0.0162792i
$937$	−14.7290	−	4.78573i	−0.481174	−	0.156343i	0.0583792	−	0.998294i	$-0.481407\pi$
$937$	−14.7290	−	4.78573i	−0.481174	−	0.156343i	−0.539553	+	0.841952i	$0.681407\pi$
$938$	57.8627	−	44.8043i	1.88928	−	1.46291i
$939$	−3.19628	−	7.17897i	−0.104307	−	0.234277i
$940$	8.89510	−	3.50436i	0.290126	−	0.114300i
$941$	−17.2054	+	5.59038i	−0.560880	+	0.182241i	−0.575717	−	0.817649i	$-0.695277\pi$
$941$	−17.2054	+	5.59038i	−0.560880	+	0.182241i	0.0148370	+	0.999890i	$0.495277\pi$
$942$	13.0177	−	6.27940i	0.424141	−	0.204594i
$943$	−1.52799	−	0.680305i	−0.0497582	−	0.0221538i
$944$	−11.9702	−	34.7533i	−0.389597	−	1.13112i
$945$	−48.6027	+	28.0608i	−1.58105	+	0.912817i
$946$	3.59817	−	0.857723i	0.116987	−	0.0278870i
$947$	20.0715	+	11.5883i	0.652237	+	0.376569i	0.789313	−	0.613992i	$-0.210437\pi$
$947$	20.0715	+	11.5883i	0.652237	+	0.376569i	−0.137076	+	0.990561i	$0.543770\pi$
$948$	11.2146	−	11.4131i	0.364232	−	0.370681i
$949$	1.52494	+	46.7913i	0.0495016	+	1.51891i
$950$	42.4810	+	3.15586i	1.37826	+	0.102390i
$951$	0.566248	−	2.66399i	0.0183618	−	0.0863856i
$952$	−7.92173	−	0.937025i	−0.256745	−	0.0303691i
$953$	19.1681	+	2.01464i	0.620914	+	0.0652607i	0.409762	−	0.912192i	$-0.365612\pi$
$953$	19.1681	+	2.01464i	0.620914	+	0.0652607i	0.211152	+	0.977453i	$0.432278\pi$
$954$	8.64488	−	21.1323i	0.279888	−	0.684185i
$955$	9.79361	+	46.0753i	0.316914	+	1.49096i
$956$	0.447607	−	0.0273982i	0.0144766	−	0.000886121i
$957$	−1.42720	+	0.812626i	−0.0461350	+	0.0262685i
$958$	−8.25663	−	4.43619i	−0.266760	−	0.143327i
$959$	11.5272	+	12.8022i	0.372232	+	0.413406i
$960$	−21.0142	+	6.22797i	−0.678231	+	0.201007i
$961$	−14.3312	−	10.4122i	−0.462296	−	0.335878i
$962$	−27.5139	+	28.1139i	−0.887083	+	0.906429i
$963$	4.43904	+	13.6620i	0.143046	+	0.440251i
$964$	−30.5987	−	1.33451i	−0.985516	−	0.0429815i
$965$	26.7838	−	2.81509i	0.862201	−	0.0906210i
$966$	4.03807	−	3.86579i	0.129923	−	0.124380i
$967$	16.4695			0.529623			0.264811	−	0.964300i	$-0.414690\pi$
$967$	16.4695			0.529623			0.264811	+	0.964300i	$0.414690\pi$
$968$	20.2337	+	23.6346i	0.650337	+	0.759646i
$969$	−0.814855	−	1.41137i	−0.0261769	−	0.0453397i
$970$	−22.7970	−	93.1539i	−0.731966	−	2.99099i
$971$	−20.0653	+	45.0674i	−0.643926	+	1.44628i	0.236277	+	0.971686i	$0.424073\pi$
$971$	−20.0653	+	45.0674i	−0.643926	+	1.44628i	−0.880203	+	0.474597i	$0.842594\pi$
$972$	−30.0674	−	1.31133i	−0.964411	−	0.0420611i
$973$	−62.3829	−	13.2599i	−1.99991	−	0.425093i
$974$	−22.5373	+	26.6235i	−0.722143	+	0.853071i
$975$	−4.46376	+	24.9751i	−0.142955	+	0.799844i
$976$	−9.29046	+	30.3981i	−0.297380	+	0.973019i
$977$	30.2388	+	33.5836i	0.967426	+	1.07444i	0.997193	+	0.0748788i	$0.0238570\pi$
$977$	30.2388	+	33.5836i	0.967426	+	1.07444i	−0.0297665	+	0.999557i	$0.509476\pi$
$978$	0.166116	+	5.43278i	0.00531181	+	0.173721i
$979$	48.4026	+	28.3336i	1.54695	+	0.905545i
$980$	−23.7378	+	47.6163i	−0.758275	+	1.52105i
$981$	−0.316610	−	1.48953i	−0.0101086	−	0.0475572i
$982$	56.2040	−	7.65040i	1.79354	−	0.244134i
$983$	−17.1966	+	23.6691i	−0.548486	+	0.754926i	−0.989806	−	0.142424i	$-0.954510\pi$
$983$	−17.1966	+	23.6691i	−0.548486	+	0.754926i	0.441320	+	0.897350i	$0.354510\pi$
$984$	−1.79775	−	1.34224i	−0.0573101	−	0.0427891i
$985$	5.46397	−	25.7059i	0.174096	−	0.819060i
$986$	0.420541	−	0.617680i	0.0133928	−	0.0196709i
$987$	−2.64616	+	1.92255i	−0.0842282	+	0.0611954i
$988$	−20.7463	−	6.99427i	−0.660029	−	0.222517i
$989$		−	1.17944i		−	0.0375041i
$990$	−44.0068	+	10.4903i	−1.39863	+	0.333402i
$991$	32.2692	+	18.6306i	1.02506	+	0.591821i	0.915567	−	0.402166i	$-0.131742\pi$
$991$	32.2692	+	18.6306i	1.02506	+	0.591821i	0.109498	+	0.993987i	$0.465076\pi$
$992$	3.31192	−	20.3512i	0.105154	−	0.646153i
$993$	−17.1404	+	12.4532i	−0.543934	+	0.395191i
$994$	−23.7384	+	11.4507i	−0.752935	+	0.363195i
$995$	62.2014	+	56.0064i	1.97192	+	1.77552i
$996$	−3.19463	+	21.3827i	−0.101226	+	0.677538i
$997$	46.5719	+	4.89490i	1.47495	+	0.155023i	0.807603	−	0.589727i	$-0.200765\pi$
$997$	46.5719	+	4.89490i	1.47495	+	0.155023i	0.667344	+	0.744750i	$0.267431\pi$
$998$	−16.2157	+	12.5561i	−0.513298	+	0.397458i
$999$	−22.3520	+	20.1258i	−0.707185	+	0.636752i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bm.a.35.7	✓	640
4.3	odd	2	inner	572.2.bm.a.35.46	yes	640
11.6	odd	10	inner	572.2.bm.a.347.9	yes	640
13.3	even	3	inner	572.2.bm.a.211.61	yes	640
44.39	even	10	inner	572.2.bm.a.347.61	yes	640
52.3	odd	6	inner	572.2.bm.a.211.9	yes	640
143.94	odd	30	inner	572.2.bm.a.523.46	yes	640
572.523	even	30	inner	572.2.bm.a.523.7	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bm.a.35.7	✓	640	1.1	even	1	trivial
572.2.bm.a.35.46	yes	640	4.3	odd	2	inner
572.2.bm.a.211.9	yes	640	52.3	odd	6	inner
572.2.bm.a.211.61	yes	640	13.3	even	3	inner
572.2.bm.a.347.9	yes	640	11.6	odd	10	inner
572.2.bm.a.347.61	yes	640	44.39	even	10	inner
572.2.bm.a.523.7	yes	640	572.523	even	30	inner
572.2.bm.a.523.46	yes	640	143.94	odd	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:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bm (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35772 - 0.395706i) q^{2} +(-0.705374 + 0.0741378i) q^{3} +(1.68683 + 1.07452i) q^{4} +(-1.19366 - 3.67372i) q^{5} +(0.987040 + 0.178462i) q^{6} +(0.389527 - 3.70610i) q^{7} +(-1.86506 - 2.12639i) q^{8} +(-2.44239 + 0.519145i) q^{9} +O(q^{10})\)	\(q+(-1.35772 - 0.395706i) q^{2} +(-0.705374 + 0.0741378i) q^{3} +(1.68683 + 1.07452i) q^{4} +(-1.19366 - 3.67372i) q^{5} +(0.987040 + 0.178462i) q^{6} +(0.389527 - 3.70610i) q^{7} +(-1.86506 - 2.12639i) q^{8} +(-2.44239 + 0.519145i) q^{9} +(0.166956 + 5.46025i) q^{10} +(0.0198868 - 3.31657i) q^{11} +(-1.26951 - 0.632879i) q^{12} +(-2.84637 + 2.21318i) q^{13} +(-1.99539 + 4.87772i) q^{14} +(1.11434 + 2.50285i) q^{15} +(1.69082 + 3.62507i) q^{16} +(0.562423 + 0.506408i) q^{17} +(3.52152 + 0.261610i) q^{18} +(2.77361 + 1.23489i) q^{19} +(1.93397 - 7.47958i) q^{20} +2.64306i q^{21} +(-1.33938 + 4.49511i) q^{22} +(1.29520 + 0.747782i) q^{23} +(1.47321 + 1.36163i) q^{24} +(-8.02632 + 5.83146i) q^{25} +(4.74036 - 1.87856i) q^{26} +(3.70794 - 1.20478i) q^{27} +(4.63934 - 5.83302i) q^{28} +(0.283971 + 0.637810i) q^{29} +(-0.522577 - 3.83914i) q^{30} +(3.46656 + 1.12635i) q^{31} +(-0.861206 - 5.59091i) q^{32} +(0.231855 + 2.34089i) q^{33} +(-0.563227 - 0.910117i) q^{34} +(-14.0801 + 2.99283i) q^{35} +(-4.67773 - 1.74868i) q^{36} +(-7.04767 + 3.13782i) q^{37} +(-3.27715 - 2.77418i) q^{38} +(1.84368 - 1.77214i) q^{39} +(-5.58551 + 9.38993i) q^{40} +(-1.11224 + 0.116901i) q^{41} +(1.04587 - 3.58855i) q^{42} +(-0.394313 - 0.682971i) q^{43} +(3.59726 - 5.57313i) q^{44} +(4.82259 + 8.35297i) q^{45} +(-1.46262 - 1.52780i) q^{46} +(0.727394 + 1.00117i) q^{47} +(-1.46141 - 2.43168i) q^{48} +(-6.73640 - 1.43187i) q^{49} +(13.2051 - 4.74146i) q^{50} +(-0.434262 - 0.315510i) q^{51} +(-7.17946 + 0.674784i) q^{52} +(1.99804 - 6.14935i) q^{53} +(-5.51111 + 0.168511i) q^{54} +(-12.2079 + 3.88581i) q^{55} +(-8.60711 + 6.08382i) q^{56} +(-2.04799 - 0.665431i) q^{57} +(-0.133170 - 0.978340i) q^{58} +(-9.13890 - 0.960538i) q^{59} +(-0.809652 + 5.41928i) q^{60} +(5.90542 + 5.31726i) q^{61} +(-4.26093 - 2.90101i) q^{62} +(0.972629 + 9.25395i) q^{63} +(-1.04308 + 7.93171i) q^{64} +(11.5282 + 7.81499i) q^{65} +(0.611509 - 3.27003i) q^{66} +(-12.0258 - 6.94309i) q^{67} +(0.404570 + 1.45856i) q^{68} +(-0.969036 - 0.431443i) q^{69} +(20.3012 + 1.50816i) q^{70} +(3.71648 + 3.34634i) q^{71} +(5.65911 + 4.22523i) q^{72} +(7.63208 - 10.5047i) q^{73} +(10.8105 - 1.47150i) q^{74} +(5.22922 - 4.70841i) q^{75} +(3.35171 + 5.06336i) q^{76} +(-12.2838 - 1.36559i) q^{77} +(-3.20445 + 1.67653i) q^{78} +(-3.48569 + 10.7279i) q^{79} +(11.2992 - 10.5387i) q^{80} +(4.31707 - 1.92208i) q^{81} +(1.55638 + 0.281401i) q^{82} +(-4.70982 - 14.4953i) q^{83} +(-2.84002 + 4.45841i) q^{84} +(1.18906 - 2.67067i) q^{85} +(0.265114 + 1.08332i) q^{86} +(-0.247592 - 0.428842i) q^{87} +(-7.08940 + 6.14332i) q^{88} +(-8.45523 + 14.6449i) q^{89} +(-3.24243 - 13.2494i) q^{90} +(7.09352 + 11.4110i) q^{91} +(1.38128 + 2.65310i) q^{92} +(-2.52872 - 0.537497i) q^{93} +(-0.591432 - 1.64715i) q^{94} +(1.22589 - 11.6635i) q^{95} +(1.02197 + 3.87984i) q^{96} +(-17.1720 + 3.65002i) q^{97} +(8.57958 + 4.60971i) q^{98} +(1.67321 + 8.11066i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 5 q^{2} - 3 q^{4} - 24 q^{5} - 5 q^{6} - 20 q^{8} - 78 q^{9}+O(q^{10}) \) 640 * q - 5 * q^2 - 3 * q^4 - 24 * q^5 - 5 * q^6 - 20 * q^8 - 78 * q^9	\( 640 q - 5 q^{2} - 3 q^{4} - 24 q^{5} - 5 q^{6} - 20 q^{8} - 78 q^{9} - 36 q^{12} - 20 q^{13} - 28 q^{14} - 11 q^{16} - 10 q^{17} - 20 q^{18} - 29 q^{20} + 25 q^{22} - 65 q^{24} - 152 q^{25} + 40 q^{26} - 5 q^{28} - 10 q^{29} + 5 q^{30} + 4 q^{33} - 132 q^{34} - 24 q^{36} - 6 q^{37} - 10 q^{38} - 20 q^{40} - 50 q^{41} - 49 q^{42} - 4 q^{44} + 28 q^{45} - 25 q^{46} + 35 q^{48} + 62 q^{49} + 20 q^{50} + 15 q^{52} - 8 q^{53} - 2 q^{56} - 40 q^{57} + 41 q^{58} - 68 q^{60} - 10 q^{61} - 5 q^{62} - 36 q^{64} - 66 q^{66} + 60 q^{68} - 58 q^{69} + 118 q^{70} - 5 q^{72} - 40 q^{73} + 45 q^{74} - 76 q^{77} + 12 q^{78} - 41 q^{80} + 30 q^{81} - 37 q^{82} + 50 q^{84} - 10 q^{85} - 120 q^{86} + 89 q^{88} - 40 q^{89} - 250 q^{90} - 46 q^{92} - 2 q^{93} - 5 q^{94} + 110 q^{96} - 10 q^{97}+O(q^{100}) \) 640 * q - 5 * q^2 - 3 * q^4 - 24 * q^5 - 5 * q^6 - 20 * q^8 - 78 * q^9 - 36 * q^12 - 20 * q^13 - 28 * q^14 - 11 * q^16 - 10 * q^17 - 20 * q^18 - 29 * q^20 + 25 * q^22 - 65 * q^24 - 152 * q^25 + 40 * q^26 - 5 * q^28 - 10 * q^29 + 5 * q^30 + 4 * q^33 - 132 * q^34 - 24 * q^36 - 6 * q^37 - 10 * q^38 - 20 * q^40 - 50 * q^41 - 49 * q^42 - 4 * q^44 + 28 * q^45 - 25 * q^46 + 35 * q^48 + 62 * q^49 + 20 * q^50 + 15 * q^52 - 8 * q^53 - 2 * q^56 - 40 * q^57 + 41 * q^58 - 68 * q^60 - 10 * q^61 - 5 * q^62 - 36 * q^64 - 66 * q^66 + 60 * q^68 - 58 * q^69 + 118 * q^70 - 5 * q^72 - 40 * q^73 + 45 * q^74 - 76 * q^77 + 12 * q^78 - 41 * q^80 + 30 * q^81 - 37 * q^82 + 50 * q^84 - 10 * q^85 - 120 * q^86 + 89 * q^88 - 40 * q^89 - 250 * q^90 - 46 * q^92 - 2 * q^93 - 5 * q^94 + 110 * q^96 - 10 * q^97

Introduction

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