LMFDB - Embedded newform 572.2.bm.a.35.16

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			35.16
Character	$\chi$	$=$	572.35
Dual form			572.2.bm.a.523.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14220 - 0.833894i) q^{2} +(0.971799 - 0.102140i) q^{3} +(0.609240 + 1.90495i) q^{4} +(-0.384851 - 1.18445i) q^{5} +(-1.19516 - 0.693713i) q^{6} +(-0.230566 + 2.19369i) q^{7} +(0.892651 - 2.68387i) q^{8} +(-2.00048 + 0.425215i) q^{9} +O(q^{10})$	\(q+(-1.14220 - 0.833894i) q^{2} +(0.971799 - 0.102140i) q^{3} +(0.609240 + 1.90495i) q^{4} +(-0.384851 - 1.18445i) q^{5} +(-1.19516 - 0.693713i) q^{6} +(-0.230566 + 2.19369i) q^{7} +(0.892651 - 2.68387i) q^{8} +(-2.00048 + 0.425215i) q^{9} +(-0.548129 + 1.67380i) q^{10} +(-3.13508 + 1.08226i) q^{11} +(0.786631 + 1.78900i) q^{12} +(-3.46442 - 0.998911i) q^{13} +(2.09266 - 2.31337i) q^{14} +(-0.494978 - 1.11174i) q^{15} +(-3.25765 + 2.32114i) q^{16} +(-5.46554 - 4.92120i) q^{17} +(2.63953 + 1.18251i) q^{18} +(2.55187 + 1.13617i) q^{19} +(2.02185 - 1.45474i) q^{20} +2.15538i q^{21} +(4.48338 + 1.37817i) q^{22} +(-4.60242 - 2.65721i) q^{23} +(0.593346 - 2.69936i) q^{24} +(2.79027 - 2.02725i) q^{25} +(3.12407 + 4.02991i) q^{26} +(-4.68862 + 1.52342i) q^{27} +(-4.31934 + 0.897269i) q^{28} +(-2.01687 - 4.52996i) q^{29} +(-0.361709 + 1.68259i) q^{30} +(1.75878 + 0.571463i) q^{31} +(5.65648 + 0.0653300i) q^{32} +(-2.93612 + 1.37196i) q^{33} +(2.13898 + 10.1787i) q^{34} +(2.68705 - 0.571151i) q^{35} +(-2.02879 - 3.55175i) q^{36} +(-0.334305 + 0.148842i) q^{37} +(-1.96730 - 3.42572i) q^{38} +(-3.46875 - 0.616885i) q^{39} +(-3.52245 - 0.0244090i) q^{40} +(-1.75572 + 0.184534i) q^{41} +(1.79736 - 2.46187i) q^{42} +(-2.33966 - 4.05241i) q^{43} +(-3.97167 - 5.31280i) q^{44} +(1.27353 + 2.20582i) q^{45} +(3.04105 + 6.87299i) q^{46} +(1.04202 + 1.43421i) q^{47} +(-2.92870 + 2.58842i) q^{48} +(2.08791 + 0.443798i) q^{49} +(-4.87757 - 0.0112663i) q^{50} +(-5.81406 - 4.22417i) q^{51} +(-0.207788 - 7.20811i) q^{52} +(-3.27368 + 10.0753i) q^{53} +(6.62571 + 2.16976i) q^{54} +(2.48842 + 3.29683i) q^{55} +(5.68178 + 2.57701i) q^{56} +(2.59595 + 0.843476i) q^{57} +(-1.47384 + 6.85597i) q^{58} +(4.14439 + 0.435593i) q^{59} +(1.81624 - 1.62022i) q^{60} +(-6.99652 - 6.29970i) q^{61} +(-1.53234 - 2.11936i) q^{62} +(-0.471548 - 4.48648i) q^{63} +(-6.40635 - 4.79152i) q^{64} +(0.150124 + 4.48786i) q^{65} +(4.49771 + 0.881368i) q^{66} +(5.72553 + 3.30563i) q^{67} +(6.04480 - 13.4098i) q^{68} +(-4.74403 - 2.11218i) q^{69} +(-3.54543 - 1.58835i) q^{70} +(6.78920 + 6.11303i) q^{71} +(-0.644508 + 5.74861i) q^{72} +(-9.55244 + 13.1478i) q^{73} +(0.505962 + 0.108768i) q^{74} +(2.50452 - 2.25508i) q^{75} +(-0.609634 + 5.55337i) q^{76} +(-1.65130 - 7.12693i) q^{77} +(3.44758 + 3.59717i) q^{78} +(-5.26488 + 16.2036i) q^{79} +(4.00299 + 2.96523i) q^{80} +(1.20429 - 0.536182i) q^{81} +(2.15926 + 1.25331i) q^{82} +(-1.16753 - 3.59328i) q^{83} +(-4.10589 + 1.31314i) q^{84} +(-3.72549 + 8.36759i) q^{85} +(-0.706923 + 6.57970i) q^{86} +(-2.42268 - 4.19621i) q^{87} +(0.106120 + 9.38023i) q^{88} +(-0.871355 + 1.50923i) q^{89} +(0.384795 - 3.58149i) q^{90} +(2.99008 - 7.36955i) q^{91} +(2.25786 - 10.3862i) q^{92} +(1.76755 + 0.375705i) q^{93} +(0.00579093 - 2.50709i) q^{94} +(0.363641 - 3.45981i) q^{95} +(5.50363 - 0.514266i) q^{96} +(0.337044 - 0.0716409i) q^{97} +(-2.01472 - 2.24800i) q^{98} +(5.81147 - 3.49813i) 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 $

$2$	−1.14220	−	0.833894i	−0.807657	−	0.589652i
$2$	−1.14220	−	0.833894i	−0.807657	−	0.589652i
$3$	0.971799	−	0.102140i	0.561069	−	0.0589707i	0.180251	−	0.983621i	$-0.442309\pi$
$3$	0.971799	−	0.102140i	0.561069	−	0.0589707i	0.380818	+	0.924650i	$0.375642\pi$
$4$	0.609240	+	1.90495i	0.304620	+	0.952474i
$5$	−0.384851	−	1.18445i	−0.172111	−	0.529702i	0.827379	−	0.561644i	$-0.189831\pi$
$5$	−0.384851	−	1.18445i	−0.172111	−	0.529702i	−0.999490	+	0.0319418i	$0.989831\pi$
$6$	−1.19516	−	0.693713i	−0.487923	−	0.283207i
$7$	−0.230566	+	2.19369i	−0.0871459	+	0.829138i	0.860422	+	0.509583i	$0.170200\pi$
$7$	−0.230566	+	2.19369i	−0.0871459	+	0.829138i	−0.947568	+	0.319555i	$0.896466\pi$
$8$	0.892651	−	2.68387i	0.315600	−	0.948892i
$9$	−2.00048	+	0.425215i	−0.666827	+	0.141738i
$10$	−0.548129	+	1.67380i	−0.173334	+	0.529303i
$11$	−3.13508	+	1.08226i	−0.945261	+	0.326314i
$11$	−3.13508	+	1.08226i	−0.945261	+	0.326314i
$12$	0.786631	+	1.78900i	0.227081	+	0.516440i
$13$	−3.46442	−	0.998911i	−0.960856	−	0.277048i
$13$	−3.46442	−	0.998911i	−0.960856	−	0.277048i
$14$	2.09266	−	2.31337i	0.559287	−	0.618273i
$15$	−0.494978	−	1.11174i	−0.127803	−	0.287050i
$16$	−3.25765	+	2.32114i	−0.814413	+	0.580286i
$17$	−5.46554	−	4.92120i	−1.32559	−	1.19357i	−0.965426	−	0.260677i	$-0.916054\pi$
$17$	−5.46554	−	4.92120i	−1.32559	−	1.19357i	−0.360163	−	0.932889i	$-0.617279\pi$
$18$	2.63953	+	1.18251i	0.622144	+	0.278720i
$19$	2.55187	+	1.13617i	0.585439	+	0.260654i	0.678011	−	0.735052i	$-0.262842\pi$
$19$	2.55187	+	1.13617i	0.585439	+	0.260654i	−0.0925721	+	0.995706i	$0.529509\pi$
$20$	2.02185	−	1.45474i	0.452099	−	0.325289i
$21$			2.15538i			0.470342i
$22$	4.48338	+	1.37817i	0.955859	+	0.293826i
$23$	−4.60242	−	2.65721i	−0.959670	−	0.554066i	−0.0635988	−	0.997976i	$-0.520258\pi$
$23$	−4.60242	−	2.65721i	−0.959670	−	0.554066i	−0.896072	+	0.443910i	$0.853591\pi$
$24$	0.593346	−	2.69936i	0.121116	−	0.551005i
$25$	2.79027	−	2.02725i	0.558055	−	0.405451i
$26$	3.12407	+	4.02991i	0.612680	+	0.790331i
$27$	−4.68862	+	1.52342i	−0.902325	+	0.293183i
$28$	−4.31934	+	0.897269i	−0.816279	+	0.169568i
$29$	−2.01687	−	4.52996i	−0.374523	−	0.841192i	−0.998226	−	0.0595313i	$-0.981039\pi$
$29$	−2.01687	−	4.52996i	−0.374523	−	0.841192i	0.623704	−	0.781661i	$-0.285627\pi$
$30$	−0.361709	+	1.68259i	−0.0660387	+	0.307197i
$31$	1.75878	+	0.571463i	0.315887	+	0.102638i	0.462669	−	0.886531i	$-0.346892\pi$
$31$	1.75878	+	0.571463i	0.315887	+	0.102638i	−0.146782	+	0.989169i	$0.546892\pi$
$32$	5.65648	+	0.0653300i	0.999933	+	0.0115488i
$33$	−2.93612	+	1.37196i	−0.511114	+	0.238827i
$34$	2.13898	+	10.1787i	0.366833	+	1.74563i
$35$	2.68705	−	0.571151i	0.454195	−	0.0965421i
$36$	−2.02879	−	3.55175i	−0.338131	−	0.591959i
$37$	−0.334305	+	0.148842i	−0.0549595	+	0.0244695i	−0.434032	−	0.900897i	$-0.642910\pi$
$37$	−0.334305	+	0.148842i	−0.0549595	+	0.0244695i	0.379073	+	0.925367i	$0.376243\pi$
$38$	−1.96730	−	3.42572i	−0.319138	−	0.555725i
$39$	−3.46875	−	0.616885i	−0.555444	−	0.0987807i
$40$	−3.52245	−	0.0244090i	−0.556948	−	0.00385941i
$41$	−1.75572	+	0.184534i	−0.274197	+	0.0288193i	−0.240629	−	0.970617i	$-0.577354\pi$
$41$	−1.75572	+	0.184534i	−0.274197	+	0.0288193i	−0.0335682	+	0.999436i	$0.510687\pi$
$42$	1.79736	−	2.46187i	0.277338	−	0.379875i
$43$	−2.33966	−	4.05241i	−0.356795	−	0.617987i	0.630628	−	0.776085i	$-0.282797\pi$
$43$	−2.33966	−	4.05241i	−0.356795	−	0.617987i	−0.987423	+	0.158098i	$0.949464\pi$
$44$	−3.97167	−	5.31280i	−0.598751	−	0.800935i
$45$	1.27353	+	2.20582i	0.189847	+	0.328825i
$46$	3.04105	+	6.87299i	0.448378	+	1.01337i
$47$	1.04202	+	1.43421i	0.151994	+	0.209201i	0.878223	−	0.478251i	$-0.158729\pi$
$47$	1.04202	+	1.43421i	0.151994	+	0.209201i	−0.726230	+	0.687452i	$0.758729\pi$
$48$	−2.92870	+	2.58842i	−0.422722	+	0.373607i
$49$	2.08791	+	0.443798i	0.298272	+	0.0633997i
$50$	−4.87757	−	0.0112663i	−0.689792	−	0.00159330i
$51$	−5.81406	−	4.22417i	−0.814132	−	0.591501i
$52$	−0.207788	−	7.20811i	−0.0288150	−	0.999585i
$53$	−3.27368	+	10.0753i	−0.449674	+	1.38396i	0.427601	+	0.903968i	$0.359359\pi$
$53$	−3.27368	+	10.0753i	−0.449674	+	1.38396i	−0.877275	+	0.479988i	$0.840641\pi$
$54$	6.62571	+	2.16976i	0.901645	+	0.295266i
$55$	2.48842	+	3.29683i	0.335539	+	0.444545i
$56$	5.68178	+	2.57701i	0.759259	+	0.344368i
$57$	2.59595	+	0.843476i	0.343842	+	0.111721i
$58$	−1.47384	+	6.85597i	−0.193525	+	0.900233i
$59$	4.14439	+	0.435593i	0.539553	+	0.0567094i	0.370386	−	0.928878i	$-0.379225\pi$
$59$	4.14439	+	0.435593i	0.539553	+	0.0567094i	0.169168	+	0.985587i	$0.445892\pi$
$60$	1.81624	−	1.62022i	0.234476	−	0.209170i
$61$	−6.99652	−	6.29970i	−0.895813	−	0.806594i	0.0860293	−	0.996293i	$-0.472582\pi$
$61$	−6.99652	−	6.29970i	−0.895813	−	0.806594i	−0.981842	+	0.189699i	$0.939249\pi$
$62$	−1.53234	−	2.11936i	−0.194608	−	0.269160i
$63$	−0.471548	−	4.48648i	−0.0594095	−	0.565244i
$64$	−6.40635	−	4.79152i	−0.800794	−	0.598941i
$65$	0.150124	+	4.48786i	0.0186206	+	0.556650i
$66$	4.49771	+	0.881368i	0.553630	+	0.108489i
$67$	5.72553	+	3.30563i	0.699484	+	0.403847i	0.807155	−	0.590339i	$-0.201006\pi$
$67$	5.72553	+	3.30563i	0.699484	+	0.403847i	−0.107671	+	0.994187i	$0.534339\pi$
$68$	6.04480	−	13.4098i	0.733039	−	1.62617i
$69$	−4.74403	−	2.11218i	−0.571115	−	0.254277i
$70$	−3.54543	−	1.58835i	−0.423760	−	0.189844i
$71$	6.78920	+	6.11303i	0.805730	+	0.725483i	0.965141	−	0.261730i	$-0.0842928\pi$
$71$	6.78920	+	6.11303i	0.805730	+	0.725483i	−0.159411	+	0.987212i	$0.550960\pi$
$72$	−0.644508	+	5.74861i	−0.0759560	+	0.677480i
$73$	−9.55244	+	13.1478i	−1.11803	+	1.53883i	−0.309002	+	0.951061i	$0.599995\pi$
$73$	−9.55244	+	13.1478i	−1.11803	+	1.53883i	−0.809026	+	0.587772i	$0.800005\pi$
$74$	0.505962	+	0.108768i	0.0588169	+	0.0126440i
$75$	2.50452	−	2.25508i	0.289197	−	0.260394i
$76$	−0.609634	+	5.55337i	−0.0699298	+	0.637016i
$77$	−1.65130	−	7.12693i	−0.188184	−	0.812189i
$78$	3.44758	+	3.59717i	0.390362	+	0.407300i
$79$	−5.26488	+	16.2036i	−0.592346	+	1.82305i	−0.0248269	+	0.999692i	$0.507903\pi$
$79$	−5.26488	+	16.2036i	−0.592346	+	1.82305i	−0.567519	+	0.823360i	$0.692097\pi$
$80$	4.00299	+	2.96523i	0.447548	+	0.331523i
$81$	1.20429	−	0.536182i	0.133809	−	0.0595758i
$82$	2.15926	+	1.25331i	0.238451	+	0.138405i
$83$	−1.16753	−	3.59328i	−0.128153	−	0.394414i	0.866309	−	0.499508i	$-0.166486\pi$
$83$	−1.16753	−	3.59328i	−0.128153	−	0.394414i	−0.994462	+	0.105094i	$0.966486\pi$
$84$	−4.10589	+	1.31314i	−0.447989	+	0.143276i
$85$	−3.72549	+	8.36759i	−0.404086	+	0.907593i
$86$	−0.706923	+	6.57970i	−0.0762295	+	0.709507i
$87$	−2.42268	−	4.19621i	−0.259739	−	0.449881i
$88$	0.106120	+	9.38023i	0.0113124	+	0.999936i
$89$	−0.871355	+	1.50923i	−0.0923634	+	0.159978i	−0.908505	−	0.417874i	$-0.862775\pi$
$89$	−0.871355	+	1.50923i	−0.0923634	+	0.159978i	0.816142	+	0.577852i	$0.196109\pi$
$90$	0.384795	−	3.58149i	0.0405610	−	0.377522i
$91$	2.99008	−	7.36955i	0.313446	−	0.772539i
$92$	2.25786	−	10.3862i	0.235398	−	1.08284i
$93$	1.76755	+	0.375705i	0.183287	+	0.0389588i
$94$	0.00579093	−	2.50709i	0.000597288	−	0.258587i
$95$	0.363641	−	3.45981i	0.0373088	−	0.354969i
$96$	5.50363	−	0.514266i	0.561712	−	0.0524871i
$97$	0.337044	−	0.0716409i	0.0342216	−	0.00727403i	−0.190769	−	0.981635i	$-0.561098\pi$
$97$	0.337044	−	0.0716409i	0.0342216	−	0.00727403i	0.224991	+	0.974361i	$0.427765\pi$
$98$	−2.01472	−	2.24800i	−0.203518	−	0.227082i
$99$	5.81147	−	3.49813i	0.584075	−	0.351575i
$100$	5.56176	+	4.08024i	0.556176	+	0.408024i
$101$	1.03364	−	0.930698i	0.102852	−	0.0926079i	−0.616101	−	0.787667i	$-0.711289\pi$
$101$	1.03364	−	0.930698i	0.102852	−	0.0926079i	0.718952	+	0.695059i	$0.244622\pi$
$102$	3.11832	+	9.67316i	0.308759	+	0.957785i
$103$	−1.52620	+	2.10063i	−0.150381	+	0.206981i	−0.877561	−	0.479466i	$-0.840831\pi$
$103$	−1.52620	+	2.10063i	−0.150381	+	0.206981i	0.727180	+	0.686447i	$0.240831\pi$
$104$	−5.77347	+	8.40637i	−0.566135	+	0.824313i
$105$	2.55294	−	0.829500i	0.249141	−	0.0809509i
$106$	12.1410	−	8.77816i	1.17924	−	0.852610i
$107$	−0.623999	−	5.93696i	−0.0603243	−	0.573947i	−0.982381	−	0.186892i	$-0.940159\pi$
$107$	−0.623999	−	5.93696i	−0.0603243	−	0.573947i	0.922056	−	0.387056i	$-0.126508\pi$
$108$	−5.75854	−	8.00344i	−0.554115	−	0.770131i
$109$		−	9.85632i		−	0.944064i	−0.881581	−	0.472032i	$-0.843521\pi$
$109$		−	9.85632i		−	0.944064i	0.881581	−	0.472032i	$-0.156479\pi$
$110$	−0.0930638	−	5.84072i	−0.00887328	−	0.556891i
$111$	−0.309675	+	0.178791i	−0.0293930	+	0.0169701i
$112$	−4.34077	−	7.68147i	−0.410164	−	0.725830i
$113$	−0.0323472	−	0.0144019i	−0.00304297	−	0.00135482i	0.405215	−	0.914222i	$-0.367197\pi$
$113$	−0.0323472	−	0.0144019i	−0.00304297	−	0.00135482i	−0.408258	+	0.912867i	$0.633863\pi$
$114$	−2.26173	−	3.12817i	−0.211830	−	0.292980i
$115$	−1.37608	+	6.47396i	−0.128320	+	0.603700i
$116$	7.40058	−	6.60186i	0.687126	−	0.612967i
$117$	7.35525	+	0.525181i	0.679993	+	0.0485530i
$118$	−4.37048	−	3.95352i	−0.402335	−	0.363951i
$119$	12.0558	−	10.8551i	1.10515	−	0.995082i
$120$	−3.42561	+	0.336063i	−0.312714	+	0.0306782i
$121$	8.65742	−	6.78594i	0.787039	−	0.616904i
$122$	2.73814	+	13.0299i	0.247900	+	1.17967i
$123$	−1.68736	+	0.358659i	−0.152144	+	0.0323392i
$124$	−0.0170861	+	3.69855i	−0.00153437	+	0.332140i
$125$	−8.51278	−	6.18490i	−0.761407	−	0.553194i
$126$	−3.20265	+	5.51768i	−0.285315	+	0.491554i
$127$	−12.7016	−	2.69981i	−1.12709	−	0.239570i	−0.393606	−	0.919279i	$-0.628772\pi$
$127$	−12.7016	−	2.69981i	−1.12709	−	0.239570i	−0.733481	+	0.679710i	$0.762106\pi$
$128$	3.32170	+	10.8151i	0.293600	+	0.955928i
$129$	−2.68760	−	3.69916i	−0.236630	−	0.325693i
$130$	3.57093	−	5.25122i	0.313191	−	0.460562i
$131$	18.6736			1.63152			0.815760	−	0.578391i	$-0.196319\pi$
$131$	18.6736			1.63152			0.815760	+	0.578391i	$0.196319\pi$
$132$	−4.40231	−	4.75731i	−0.383172	−	0.414071i
$133$	−3.08077	+	5.33605i	−0.267137	+	0.462695i
$134$	−3.78314	−	8.55018i	−0.326814	−	0.738623i
$135$	3.60884	+	4.96714i	0.310599	+	0.427503i
$136$	−18.0867	+	10.2759i	−1.55092	+	0.881152i
$137$	6.54713	−	7.27133i	0.559359	−	0.621231i	−0.395437	−	0.918493i	$-0.629407\pi$
$137$	6.54713	−	7.27133i	0.559359	−	0.621231i	0.954796	+	0.297262i	$0.0960734\pi$
$138$	3.65730	+	6.36855i	0.311330	+	0.542127i
$139$	1.51368	−	14.4017i	0.128389	−	1.22154i	−0.720685	−	0.693263i	$-0.756172\pi$
$139$	1.51368	−	14.4017i	0.128389	−	1.22154i	0.849074	−	0.528275i	$-0.177161\pi$
$140$	2.72507	+	4.77073i	0.230311	+	0.403200i
$141$	1.15912	+	1.28734i	0.0976157	+	0.108413i
$142$	−2.65701	−	12.6438i	−0.222971	−	1.06104i
$143$	11.9423	−	0.617736i	0.998665	−	0.0516577i
$144$	5.52989	−	6.02861i	0.460824	−	0.502384i
$145$	−4.58931	+	4.13224i	−0.381122	+	0.343164i
$146$	21.8747	−	7.05169i	1.81036	−	0.583602i
$147$	2.07436	+	0.218024i	0.171090	+	0.0179823i
$148$	−0.487209	−	0.546153i	−0.0400483	−	0.0448935i
$149$	3.00921	+	2.70951i	0.246524	+	0.221971i	0.783124	−	0.621865i	$-0.213625\pi$
$149$	3.00921	+	2.70951i	0.246524	+	0.221971i	−0.536600	+	0.843837i	$0.680292\pi$
$150$	−4.74117	+	0.487247i	−0.387115	+	0.0397836i
$151$	−3.74395	+	2.72014i	−0.304678	+	0.221362i	−0.729610	−	0.683864i	$-0.760298\pi$
$151$	−3.74395	+	2.72014i	−0.304678	+	0.221362i	0.424931	+	0.905226i	$0.360298\pi$
$152$	5.32725	−	5.83469i	0.432097	−	0.473256i
$153$	13.0263	+	7.52073i	1.05311	+	0.608015i
$154$	−4.05699	+	9.51739i	−0.326921	+	0.766933i
$155$		−	2.30312i		−	0.184991i
$156$	−0.938166	−	6.98361i	−0.0751134	−	0.559136i
$157$	12.4696	−	9.05972i	0.995185	−	0.723044i	0.0341346	−	0.999417i	$-0.489133\pi$
$157$	12.4696	−	9.05972i	0.995185	−	0.723044i	0.961050	+	0.276373i	$0.0891325\pi$
$158$	19.5257	−	14.1174i	1.55338	−	1.12312i
$159$	−2.15226	+	10.1256i	−0.170685	+	0.803012i
$160$	−2.09952	−	6.72495i	−0.165982	−	0.531654i
$161$	6.89026	−	9.48363i	0.543028	−	0.747415i
$162$	−1.82265	−	0.391819i	−0.143201	−	0.0307842i
$163$	−3.46766	−	16.3141i	−0.271608	−	1.27782i	−0.876458	−	0.481478i	$-0.840100\pi$
$163$	−3.46766	−	16.3141i	−0.271608	−	1.27782i	0.604850	−	0.796339i	$-0.293233\pi$
$164$	−1.42118	−	3.23213i	−0.110976	−	0.252387i
$165$	2.75499	+	2.94969i	0.214475	+	0.229633i
$166$	−1.66287	+	5.07784i	−0.129064	+	0.394117i
$167$	−2.72052	−	3.02145i	−0.210521	−	0.233807i	0.628632	−	0.777703i	$-0.283615\pi$
$167$	−2.72052	−	3.02145i	−0.210521	−	0.233807i	−0.839153	+	0.543896i	$0.816949\pi$
$168$	5.78476	+	1.92400i	0.446304	+	0.148440i
$169$	11.0044	+	6.92129i	0.846489	+	0.532407i
$170$	11.2329	−	6.45079i	0.861527	−	0.494753i
$171$	−5.58808	−	1.18778i	−0.427331	−	0.0908320i
$172$	6.29422	−	6.92583i	0.479930	−	0.528089i
$173$	−6.92794	+	15.5604i	−0.526722	+	1.18304i	0.432823	+	0.901479i	$0.357518\pi$
$173$	−6.92794	+	15.5604i	−0.526722	+	1.18304i	−0.959544	+	0.281557i	$0.909149\pi$
$174$	−0.732008	+	6.81317i	−0.0554934	+	0.516505i
$175$	3.80383	+	6.58842i	0.287542	+	0.498038i
$176$	7.70091	−	10.8026i	0.580478	−	0.814276i
$177$	4.07201			0.306071
$178$	2.25380	−	0.997225i	0.168929	−	0.0747452i
$179$	−12.0509	+	1.26661i	−0.900730	+	0.0946705i	−0.543561	−	0.839369i	$-0.682925\pi$
$179$	−12.0509	+	1.26661i	−0.900730	+	0.0946705i	−0.357169	+	0.934040i	$0.616258\pi$
$180$	−3.42609	+	3.76989i	−0.255366	+	0.280991i
$181$	−0.622100	−	1.91463i	−0.0462403	−	0.142313i	0.925271	−	0.379307i	$-0.123838\pi$
$181$	−0.622100	−	1.91463i	−0.0462403	−	0.142313i	−0.971511	+	0.236994i	$0.923838\pi$
$182$	−9.56070	+	5.92408i	−0.708686	+	0.439122i
$183$	−7.44267	−	5.40742i	−0.550178	−	0.399728i
$184$	−11.2400	+	9.98035i	−0.828621	+	0.735761i
$185$	0.304954	+	0.338686i	0.0224207	+	0.0249007i
$186$	−1.70560	−	1.90308i	−0.125061	−	0.139541i
$187$	22.4609	+	9.51320i	1.64251	+	0.695674i
$188$	−2.09726	+	2.85877i	−0.152959	+	0.208497i
$189$	−2.26089	−	10.6366i	−0.164455	−	0.773701i
$190$	−3.30047	+	3.64856i	−0.239441	+	0.264694i
$191$	−4.50537	−	0.473533i	−0.325997	−	0.0342637i	−0.0598835	−	0.998205i	$-0.519073\pi$
$191$	−4.50537	−	0.473533i	−0.325997	−	0.0342637i	−0.266114	+	0.963942i	$0.585740\pi$
$192$	−6.71509	−	4.00205i	−0.484620	−	0.288823i
$193$	5.76282	−	27.1120i	0.414817	−	1.95156i	0.139403	−	0.990236i	$-0.455482\pi$
$193$	5.76282	−	27.1120i	0.414817	−	1.95156i	0.275414	−	0.961326i	$-0.411185\pi$
$194$	−0.444713	−	0.199231i	−0.0319285	−	0.0143039i
$195$	0.604281	+	4.34596i	0.0432735	+	0.311221i
$196$	0.426624	+	4.24773i	0.0304732	+	0.303409i
$197$	−8.54565	−	4.93383i	−0.608852	−	0.351521i	0.163664	−	0.986516i	$-0.447669\pi$
$197$	−8.54565	−	4.93383i	−0.608852	−	0.351521i	−0.772516	+	0.634995i	$0.781002\pi$
$198$	−9.55493	−	0.850594i	−0.679039	−	0.0604491i
$199$	−12.5152	+	7.22566i	−0.887179	+	0.512213i	−0.873019	−	0.487687i	$-0.837841\pi$
$199$	−12.5152	+	7.22566i	−0.887179	+	0.512213i	−0.0141605	+	0.999900i	$0.504508\pi$
$200$	−2.95015	−	9.29837i	−0.208607	−	0.657494i
$201$	5.90170	+	2.62761i	0.416274	+	0.185337i
$202$	−1.95673	+	0.201092i	−0.137675	+	0.0141488i
$203$	10.4024	−	3.37993i	0.730103	−	0.237225i
$204$	4.50465	−	13.6490i	0.315389	−	0.955623i
$205$	0.894261	+	2.00854i	0.0624579	+	0.140283i
$206$	3.49493	−	1.12665i	0.243503	−	0.0784976i
$207$	10.3369	+	3.35867i	0.718467	+	0.233444i
$208$	13.6045	−	4.78730i	0.943301	−	0.331939i
$209$	−9.22993	−	0.800179i	−0.638448	−	0.0553495i
$210$	−3.60768	−	1.18143i	−0.248954	−	0.0815262i
$211$	−3.72076	−	4.13232i	−0.256148	−	0.284481i	0.601331	−	0.799000i	$-0.294637\pi$
$211$	−3.72076	−	4.13232i	−0.256148	−	0.284481i	−0.857479	+	0.514519i	$0.827970\pi$
$212$	−21.1875	−	0.0978790i	−1.45516	−	0.00672236i
$213$	7.22213	+	5.24718i	0.494852	+	0.359531i
$214$	−4.23806	+	7.30154i	−0.289708	+	0.499123i
$215$	−3.89946	+	4.33079i	−0.265941	+	0.295357i
$216$	−0.0966226	+	13.9435i	−0.00657433	+	0.948737i
$217$	−1.65913	+	3.72647i	−0.112629	+	0.252969i
$218$	−8.21913	+	11.2579i	−0.556670	+	0.762480i
$219$	−7.94013	+	13.7527i	−0.536544	+	0.929322i
$220$	−4.76425	+	6.74888i	−0.321205	+	0.455009i
$221$	14.0191	+	22.5087i	0.943025	+	1.51410i
$222$	0.502803	+	0.0540213i	0.0337459	+	0.00362567i
$223$	−15.7433	+	1.65469i	−1.05425	+	0.110806i	−0.615763	−	0.787931i	$-0.711152\pi$
$223$	−15.7433	+	1.65469i	−1.05425	+	0.110806i	−0.438487	+	0.898737i	$0.644486\pi$
$224$	−1.44751	+	12.3935i	−0.0967157	+	0.828076i
$225$	−4.71987	+	5.24195i	−0.314658	+	0.349463i
$226$	0.0249373	+	0.0434240i	0.00165881	+	0.00288852i
$227$	0.343304	−	3.26632i	0.0227859	−	0.216793i	−0.977204	−	0.212302i	$-0.931904\pi$
$227$	0.343304	−	3.26632i	0.0227859	−	0.216793i	0.999990	−	0.00449098i	$-0.00142953\pi$
$228$	−0.0252189	+	5.45903i	−0.00167016	+	0.361533i
$229$	−5.33758	+	16.4274i	−0.352717	+	1.08555i	0.604604	+	0.796526i	$0.293331\pi$
$229$	−5.33758	+	16.4274i	−0.352717	+	1.08555i	−0.957321	+	0.289026i	$0.906669\pi$
$230$	6.97036	−	6.24705i	0.459612	−	0.411918i
$231$	−2.33268	−	6.75728i	−0.153479	−	0.444596i
$232$	−13.9582	+	1.36934i	−0.916400	+	0.0899018i
$233$	−6.82480	−	2.21751i	−0.447107	−	0.145274i	0.0768051	−	0.997046i	$-0.475528\pi$
$233$	−6.82480	−	2.21751i	−0.447107	−	0.145274i	−0.523912	+	0.851772i	$0.675528\pi$
$234$	−7.96322	−	6.73336i	−0.520572	−	0.440174i
$235$	1.29773	−	1.78617i	0.0846547	−	0.116517i
$236$	1.69515	+	8.16023i	0.110345	+	0.531185i
$237$	−3.46137	+	16.2844i	−0.224840	+	1.05779i
$238$	−22.8221	+	2.34541i	−1.47934	+	0.152030i
$239$	−22.6446	+	16.4522i	−1.46475	+	1.06421i	−0.482662	+	0.875807i	$0.660330\pi$
$239$	−22.6446	+	16.4522i	−1.46475	+	1.06421i	−0.982092	+	0.188400i	$0.939670\pi$
$240$	4.19297	+	2.47274i	0.270655	+	0.159615i
$241$	19.3514	−	11.1725i	1.24653	−	0.719685i	0.276114	−	0.961125i	$-0.410953\pi$
$241$	19.3514	−	11.1725i	1.24653	−	0.719685i	0.970416	+	0.241440i	$0.0776198\pi$
$242$	−15.5473	+	0.531524i	−0.999416	+	0.0341677i
$243$	13.9238	−	8.03892i	0.893214	−	0.515697i
$244$	7.73803	−	17.1660i	0.495377	−	1.09894i
$245$	−0.277876	−	2.64382i	−0.0177529	−	0.168907i
$246$	2.22639	+	0.997419i	0.141949	+	0.0635931i
$247$	−7.70580	−	6.48524i	−0.490309	−	0.412646i
$248$	3.10371	−	4.21023i	0.197086	−	0.267350i
$249$	−1.50162	−	3.37270i	−0.0951614	−	0.213736i
$250$	4.56575	+	14.1632i	0.288763	+	0.895756i
$251$	4.13910	+	19.4729i	0.261257	+	1.22912i	0.891608	+	0.452809i	$0.149578\pi$
$251$	4.13910	+	19.4729i	0.261257	+	1.22912i	−0.630350	+	0.776311i	$0.717089\pi$
$252$	8.25923	−	3.63162i	0.520282	−	0.228771i
$253$	17.3047	+	3.34953i	1.08794	+	0.210583i
$254$	12.2564	+	13.6755i	0.769037	+	0.858080i
$255$	−2.76576	+	8.51214i	−0.173199	+	0.533051i
$256$	5.22460	−	15.1229i	0.326537	−	0.945184i
$257$	−16.6707	+	7.42229i	−1.03989	+	0.462990i	−0.854378	−	0.519652i	$-0.826062\pi$
$257$	−16.6707	+	7.42229i	−1.03989	+	0.462990i	−0.185514	+	0.982642i	$0.559395\pi$
$258$	−0.0149361	+	6.46635i	−0.000929881	+	0.402577i
$259$	−0.249435	−	0.767681i	−0.0154991	−	0.0477014i
$260$	−8.45767	+	3.02016i	−0.524523	+	0.187302i
$261$	5.96091	+	8.20450i	0.368971	+	0.507846i
$262$	−21.3290	−	15.5718i	−1.31771	−	0.962029i
$263$	9.35178	−	16.1978i	0.576655	−	0.998796i	−0.419204	−	0.907892i	$-0.637691\pi$
$263$	9.35178	−	16.1978i	0.576655	−	0.998796i	0.995860	−	0.0909044i	$-0.0289758\pi$
$264$	1.06123	+	9.10486i	0.0653139	+	0.560366i
$265$	13.1936			0.810478
$266$	7.96856	−	3.52580i	0.488584	−	0.216181i
$267$	−0.692629	+	1.55567i	−0.0423882	+	0.0952054i
$268$	−2.80884	+	12.9208i	−0.171577	+	0.789261i
$269$	2.26065	−	2.51071i	0.137834	−	0.153080i	−0.670276	−	0.742112i	$-0.733824\pi$
$269$	2.26065	−	2.51071i	0.137834	−	0.153080i	0.808110	+	0.589032i	$0.200491\pi$
$270$	0.0200558	−	8.68285i	0.00122056	−	0.528422i
$271$	−29.9699	+	13.3435i	−1.82054	+	0.810557i	−0.875862	+	0.482562i	$0.839706\pi$
$271$	−29.9699	+	13.3435i	−1.82054	+	0.810557i	−0.944679	+	0.327996i	$0.893627\pi$
$272$	29.2276	+	3.34525i	1.77219	+	0.202835i
$273$	2.15303	−	7.46713i	0.130307	−	0.451931i
$274$	−13.5417	+	2.84569i	−0.818081	+	0.171914i
$275$	−6.55371	+	9.37540i	−0.395204	+	0.565358i
$276$	1.13334	−	10.3240i	0.0682188	−	0.621430i
$277$	−4.27681	−	20.1208i	−0.256969	−	1.20894i	−0.897501	−	0.441012i	$-0.854620\pi$
$277$	−4.27681	−	20.1208i	−0.256969	−	1.20894i	0.640532	−	0.767931i	$-0.278714\pi$
$278$	−13.7384	+	15.1874i	−0.823977	+	0.910879i
$279$	−3.76141	−	0.395340i	−0.225190	−	0.0236684i
$280$	0.865705	−	7.72155i	0.0517357	−	0.461451i
$281$	2.21692	−	0.720322i	0.132250	−	0.0429708i	−0.242144	−	0.970240i	$-0.577851\pi$
$281$	2.21692	−	0.720322i	0.132250	−	0.0429708i	0.374394	+	0.927270i	$0.377851\pi$
$282$	−0.250447	−	2.43698i	−0.0149139	−	0.145120i
$283$	3.26201	+	31.0359i	0.193906	+	1.84489i	0.468658	+	0.883379i	$0.344737\pi$
$283$	3.26201	+	31.0359i	0.193906	+	1.84489i	−0.274752	+	0.961515i	$0.588596\pi$
$284$	−7.50874	+	16.6574i	−0.445562	+	0.988434i
$285$		−	3.39939i		−	0.201362i
$286$	−14.1556	−	9.25303i	−0.837039	−	0.547143i
$287$		−	3.89406i		−	0.229859i
$288$	−11.3435	+	2.27453i	−0.668420	+	0.134028i
$289$	3.87700	+	36.8872i	0.228059	+	2.16983i
$290$	8.68776	−	0.892837i	0.510163	−	0.0524292i
$291$	0.320222	−	0.104046i	0.0187717	−	0.00609931i
$292$	−30.8656	−	10.1867i	−1.80627	−	0.596133i
$293$	−12.6787	−	1.33258i	−0.740697	−	0.0778504i	−0.273338	−	0.961918i	$-0.588128\pi$
$293$	−12.6787	−	1.33258i	−0.740697	−	0.0778504i	−0.467359	+	0.884068i	$0.654794\pi$
$294$	−2.18752	−	1.97882i	−0.127579	−	0.115407i
$295$	−1.07903	−	5.07646i	−0.0628238	−	0.295563i
$296$	0.101056	+	1.03010i	0.00587375	+	0.0598732i
$297$	13.0504	−	9.85036i	0.757263	−	0.571576i
$298$	−1.17768	−	5.60416i	−0.0682211	−	0.324640i
$299$	13.2904	+	13.8031i	0.768602	+	0.798253i
$300$	5.82167	+	3.39710i	0.336114	+	0.196132i
$301$	9.42920	−	4.19815i	0.543490	−	0.241977i
$302$	6.54465	+	0.0151170i	0.376602	+	0.000869883i
$303$	0.909434	−	1.01003i	0.0522456	−	0.0580246i
$304$	−10.9503	+	2.22202i	−0.628043	+	0.127442i
$305$	−4.76906	+	10.7115i	−0.273075	+	0.613337i
$306$	−8.60713	−	19.4527i	−0.492037	−	1.11204i
$307$	2.83349			0.161716			0.0808578	−	0.996726i	$-0.474234\pi$
$307$	2.83349			0.161716			0.0808578	+	0.996726i	$0.474234\pi$
$308$	12.5704	−	7.48766i	0.716264	−	0.426649i
$309$	−1.26860	+	2.19728i	−0.0721681	+	0.124999i
$310$	−1.92056	+	2.63062i	−0.109080	+	0.149409i
$311$	−15.1654	−	20.8734i	−0.859952	−	1.18362i	−0.981581	−	0.191047i	$-0.938812\pi$
$311$	−15.1654	−	20.8734i	−0.859952	−	1.18362i	0.121629	−	0.992576i	$-0.461188\pi$
$312$	−4.75202	+	8.75901i	−0.269030	+	0.495881i
$313$	−7.56141	−	23.2716i	−0.427396	−	1.31539i	−0.900681	−	0.434480i	$-0.856932\pi$
$313$	−7.56141	−	23.2716i	−0.427396	−	1.31539i	0.473285	−	0.880909i	$-0.343068\pi$
$314$	−21.7977	−	0.0503487i	−1.23011	−	0.00284134i
$315$	−5.13254	+	2.28515i	−0.289186	+	0.128754i
$316$	−34.0747	−	0.157414i	−1.91685	−	0.00885521i
$317$	4.13480	−	12.7256i	0.232234	−	0.714742i	−0.765243	−	0.643742i	$-0.777381\pi$
$317$	4.13480	−	12.7256i	0.232234	−	0.714742i	0.997476	−	0.0709999i	$-0.0226190\pi$
$318$	10.9020	−	9.77069i	0.611353	−	0.547913i
$319$	11.2256	+	12.0190i	0.628515	+	0.672935i
$320$	−3.20983	+	9.43202i	−0.179435	+	0.527266i
$321$	−1.21280	−	5.70580i	−0.0676922	−	0.318467i
$322$	−15.7784	+	5.08645i	−0.879296	+	0.283457i
$323$	−8.35606	−	18.7680i	−0.464943	−	1.04428i
$324$	1.75510	+	1.96744i	0.0975055	+	0.109302i
$325$	−11.6917	+	4.23601i	−0.648540	+	0.234972i
$326$	−9.64345	+	21.5256i	−0.534101	+	1.19219i
$327$	−1.00673	−	9.57837i	−0.0556721	−	0.529685i
$328$	−1.07198	+	4.87685i	−0.0591902	+	0.269279i
$329$	−3.38648	+	1.95518i	−0.186702	+	0.107793i
$330$	−0.687012	−	5.66650i	−0.0378188	−	0.311931i
$331$	−2.87579	+	1.66034i	−0.158067	+	0.0912603i	−0.576947	−	0.816781i	$-0.695756\pi$
$331$	−2.87579	+	1.66034i	−0.158067	+	0.0912603i	0.418880	+	0.908042i	$0.362423\pi$
$332$	6.13371	−	4.41325i	0.336631	−	0.242209i
$333$	0.605482	−	0.439908i	0.0331802	−	0.0241068i
$334$	0.587813	+	5.71973i	0.0321637	+	0.312970i
$335$	1.71188	−	8.05377i	0.0935301	−	0.440025i
$336$	−5.00294	−	7.02148i	−0.272933	−	0.383053i
$337$	10.0064	−	13.7726i	0.545081	−	0.750240i	−0.444253	−	0.895901i	$-0.646531\pi$
$337$	10.0064	−	13.7726i	0.545081	−	0.750240i	0.989335	+	0.145661i	$0.0465309\pi$
$338$	−6.79754	−	17.0820i	−0.369738	−	0.929136i
$339$	−0.0329060	−	0.0106918i	−0.00178721	−	0.000580700i
$340$	−18.2095	−	1.99899i	−0.987551	−	0.108411i
$341$	−6.13239	+	0.111880i	−0.332088	+	0.00605864i
$342$	5.39222	+	6.01655i	0.291578	+	0.325338i
$343$	−6.22631	+	19.1626i	−0.336189	+	1.03468i
$344$	−12.9647	+	2.66196i	−0.699008	+	0.143523i
$345$	−0.676025	+	6.43194i	−0.0363959	+	0.346284i
$346$	20.8888	−	11.9959i	1.12299	−	0.644905i
$347$	22.4838	−	24.9708i	1.20699	−	1.34050i	0.282518	−	0.959262i	$-0.408830\pi$
$347$	22.4838	−	24.9708i	1.20699	−	1.34050i	0.924476	−	0.381241i	$-0.124503\pi$
$348$	6.51756	−	7.17158i	0.349378	−	0.384437i
$349$	7.05746	−	0.741769i	0.377777	−	0.0397060i	0.0862628	−	0.996272i	$-0.472508\pi$
$349$	7.05746	−	0.741769i	0.377777	−	0.0397060i	0.291514	+	0.956566i	$0.405841\pi$
$350$	1.14932	−	10.6973i	0.0614336	−	0.571794i
$351$	17.7651	−	0.594261i	0.948230	−	0.0317193i
$352$	−17.8042	+	5.91697i	−0.948967	+	0.315375i
$353$	4.00766	−	6.94147i	0.213306	−	0.369457i	−0.739441	−	0.673221i	$-0.764910\pi$
$353$	4.00766	−	6.94147i	0.213306	−	0.369457i	0.952747	+	0.303764i	$0.0982435\pi$
$354$	−4.65104	−	3.39562i	−0.247200	−	0.180475i
$355$	4.62774	−	10.3941i	0.245615	−	0.551660i
$356$	−3.40587	−	0.740401i	−0.180511	−	0.0392412i
$357$	10.6070	−	11.7803i	0.561385	−	0.623481i
$358$	14.8208	+	8.60250i	0.783304	+	0.454656i
$359$	4.64420	+	3.37421i	0.245112	+	0.178084i	0.703558	−	0.710638i	$-0.251594\pi$
$359$	4.64420	+	3.37421i	0.245112	+	0.178084i	−0.458446	+	0.888722i	$0.651594\pi$
$360$	7.05698	−	1.44897i	0.371935	−	0.0763674i
$361$	−7.49232	−	8.32106i	−0.394333	−	0.437951i
$362$	−0.886034	+	2.70565i	−0.0465689	+	0.142206i
$363$	7.72016	−	7.47885i	0.405203	−	0.392538i
$364$	15.8603	+	1.20612i	0.831305	+	0.0632181i
$365$	19.2492	+	6.25444i	1.00755	+	0.327372i
$366$	3.99180	+	12.3827i	0.208655	+	0.647257i
$367$	−7.32877	−	16.4607i	−0.382559	−	0.859241i	−0.997500	−	0.0706677i	$-0.977487\pi$
$367$	−7.32877	−	16.4607i	−0.382559	−	0.859241i	0.614941	−	0.788573i	$-0.289180\pi$
$368$	21.1608	−	2.02661i	1.10308	−	0.105644i
$369$	3.43382	−	1.11572i	0.178757	−	0.0580818i
$370$	−0.0658902	−	0.641146i	−0.00342547	−	0.0333316i
$371$	−21.3474	−	9.50448i	−1.10830	−	0.493448i
$372$	0.361166	+	3.59599i	0.0187256	+	0.186444i
$373$	−2.25730	+	1.30325i	−0.116879	+	0.0674799i	−0.557300	−	0.830311i	$-0.688163\pi$
$373$	−2.25730	+	1.30325i	−0.116879	+	0.0674799i	0.440421	+	0.897791i	$0.354829\pi$
$374$	−17.7219	−	29.5960i	−0.916376	−	1.53037i
$375$	−8.90445	−	5.14098i	−0.459824	−	0.265479i
$376$	4.77940	−	1.51639i	0.246479	−	0.0782018i
$377$	2.46224	+	17.7083i	0.126812	+	0.912026i
$378$	−6.28745	+	14.0345i	−0.323391	+	0.721857i
$379$	−4.24566	+	19.9743i	−0.218085	+	1.02601i	0.723784	+	0.690027i	$0.242401\pi$
$379$	−4.24566	+	19.9743i	−0.218085	+	1.02601i	−0.941868	+	0.335982i	$0.890932\pi$
$380$	6.81231	−	1.41514i	0.349464	−	0.0725952i
$381$	−12.6192	−	1.32633i	−0.646501	−	0.0679500i
$382$	4.75115	+	4.29787i	0.243090	+	0.219898i
$383$	4.00535	+	18.8437i	0.204664	+	0.962867i	0.953798	+	0.300449i	$0.0971364\pi$
$383$	4.00535	+	18.8437i	0.204664	+	0.962867i	−0.749134	+	0.662418i	$0.769530\pi$
$384$	4.33269	+	10.1708i	0.221101	+	0.519028i
$385$	−7.80598	+	4.69869i	−0.397830	+	0.239468i
$386$	−29.1908	+	26.1617i	−1.48577	+	1.33159i
$387$	6.40360	+	7.11192i	0.325513	+	0.361519i
$388$	0.341813	+	0.598405i	0.0173529	+	0.0303794i
$389$	21.7711	+	15.8176i	1.10384	+	0.801986i	0.981682	−	0.190525i	$-0.0610190\pi$
$389$	21.7711	+	15.8176i	1.10384	+	0.801986i	0.122156	+	0.992511i	$0.461019\pi$
$390$	2.93387	−	5.46787i	0.148562	−	0.276876i
$391$	12.0781	+	37.1725i	0.610815	+	1.87989i
$392$	3.05487	−	5.20752i	0.154294	−	0.263019i
$393$	18.1470	−	1.90732i	0.915394	−	0.0962118i
$394$	5.64654	+	12.7616i	0.284469	+	0.642920i
$395$	21.2186			1.06762
$396$	10.2043	+	8.93935i	0.512787	+	0.449219i
$397$	−5.16653	−	8.94870i	−0.259301	−	0.449122i	0.706754	−	0.707459i	$-0.250159\pi$
$397$	−5.16653	−	8.94870i	−0.259301	−	0.449122i	−0.966055	+	0.258337i	$0.916825\pi$
$398$	20.3203	+	2.18322i	1.01856	+	0.109435i
$399$	−2.44887	+	5.50024i	−0.122597	+	0.275357i
$400$	−4.38420	+	13.0807i	−0.219210	+	0.654035i
$401$	−31.2161	−	6.63519i	−1.55886	−	0.331346i	−0.653812	−	0.756657i	$-0.726831\pi$
$401$	−31.2161	−	6.63519i	−1.55886	−	0.331346i	−0.905047	+	0.425312i	$0.860164\pi$
$402$	−4.54977	−	7.92265i	−0.226922	−	0.395146i
$403$	−5.52232	−	3.73666i	−0.275086	−	0.186136i
$404$	2.40267	+	1.40202i	0.119537	+	0.0697531i
$405$	−1.09855	−	1.22007i	−0.0545875	−	0.0606255i
$406$	−14.7001	−	4.81391i	−0.729553	−	0.238910i
$407$	0.886987	−	0.828438i	0.0439663	−	0.0410641i
$408$	−16.5271	+	11.8335i	−0.818211	+	0.585846i
$409$	1.50894	+	7.09903i	0.0746125	+	0.351024i	0.999579	−	0.0290252i	$-0.00924030\pi$
$409$	1.50894	+	7.09903i	0.0746125	+	0.351024i	−0.924966	+	0.380049i	$0.875907\pi$
$410$	0.653488	−	3.03988i	0.0322735	−	0.150129i
$411$	5.61980	−	7.73500i	0.277204	−	0.381539i
$412$	−4.93141	−	1.62754i	−0.242953	−	0.0801830i
$413$	−1.91111	+	8.99108i	−0.0940398	+	0.442422i
$414$	−9.00607	−	12.4562i	−0.442624	−	0.612188i
$415$	−3.80674	+	2.76576i	−0.186865	+	0.135766i
$416$	−19.5311	−	5.87665i	−0.957592	−	0.288126i
$417$		−	14.1502i		−	0.692938i
$418$	9.87516	+	8.61075i	0.483010	+	0.421166i
$419$	−13.0963	−	7.56118i	−0.639799	−	0.369388i	0.144738	−	0.989470i	$-0.453766\pi$
$419$	−13.0963	−	7.56118i	−0.639799	−	0.369388i	−0.784537	+	0.620082i	$0.787099\pi$
$420$	3.13551	+	4.35785i	0.152997	+	0.212641i
$421$	19.6203	−	14.2550i	0.956235	−	0.694745i	0.00396166	−	0.999992i	$-0.498739\pi$
$421$	19.6203	−	14.2550i	0.956235	−	0.694745i	0.952273	+	0.305247i	$0.0987390\pi$
$422$	0.803930	+	7.82266i	0.0391347	+	0.380801i
$423$	−2.69438	−	2.42603i	−0.131005	−	0.117958i
$424$	24.1187	+	17.7799i	1.17131	+	0.863469i
$425$	−25.2269	−	2.65145i	−1.22368	−	0.128614i
$426$	−3.87352	−	12.0158i	−0.187673	−	0.582169i
$427$	15.4328	−	13.8957i	0.746844	−	0.672461i
$428$	10.9294	−	4.80572i	0.528294	−	0.232293i
$429$	11.5424	−	1.82010i	0.557273	−	0.0878755i
$430$	8.06538	−	1.69489i	0.388947	−	0.0817347i
$431$	14.3104	+	15.8933i	0.689308	+	0.765554i	0.981636	−	0.190764i	$-0.0610965\pi$
$431$	14.3104	+	15.8933i	0.689308	+	0.765554i	−0.292328	+	0.956318i	$0.594430\pi$
$432$	11.7378	−	15.8457i	0.564735	−	0.762378i
$433$	−0.0221830	+	0.211057i	−0.00106605	+	0.0101428i	−0.995042	−	0.0994557i	$-0.968290\pi$
$433$	−0.0221830	+	0.211057i	−0.00106605	+	0.0101428i	0.993976	+	0.109598i	$0.0349565\pi$
$434$	5.00254	−	2.87283i	0.240130	−	0.137900i
$435$	−4.03783	+	4.48446i	−0.193599	+	0.215013i
$436$	18.7758	−	6.00487i	0.899197	−	0.287581i
$437$	−8.72574	−	12.0099i	−0.417409	−	0.574514i
$438$	20.5375	−	9.08711i	0.981321	−	0.434199i
$439$	−8.87124	+	15.3654i	−0.423401	+	0.733353i	−0.996270	−	0.0862948i	$-0.972497\pi$
$439$	−8.87124	+	15.3654i	−0.423401	+	0.733353i	0.572868	+	0.819647i	$0.305831\pi$
$440$	11.0696	−	3.73568i	0.527721	−	0.178092i
$441$	−4.36553			−0.207882
$442$	2.75727	−	37.3998i	0.131150	−	1.77893i
$443$	−18.7206	−	25.7668i	−0.889445	−	1.22422i	−0.973714	−	0.227773i	$-0.926856\pi$
$443$	−18.7206	−	25.7668i	−0.889445	−	1.22422i	0.0842698	−	0.996443i	$-0.473144\pi$
$444$	−0.529254	−	0.480988i	−0.0251173	−	0.0228267i
$445$	2.12295	+	0.451247i	0.100637	+	0.0213911i
$446$	19.3619	+	11.2383i	0.916810	+	0.532148i
$447$	3.20110	+	2.32573i	0.151407	+	0.110003i
$448$	11.9882	−	12.9488i	0.566390	−	0.611773i
$449$	−21.4815	+	4.56604i	−1.01378	+	0.215485i	−0.684705	−	0.728820i	$-0.740069\pi$
$449$	−21.4815	+	4.56604i	−1.01378	+	0.215485i	−0.329071	+	0.944305i	$0.606736\pi$
$450$	9.76227	−	2.05148i	0.460198	−	0.0967076i
$451$	5.30461	−	2.47867i	0.249784	−	0.116716i
$452$	0.00772765	−	0.0703940i	0.000363478	−	0.00331105i
$453$	−3.36053	+	3.02584i	−0.157892	+	0.142166i
$454$	−3.11589	+	3.44451i	−0.146236	+	0.161659i
$455$	−9.87960	−	0.705424i	−0.463163	−	0.0330708i
$456$	4.58106	−	6.21428i	0.214528	−	0.291010i
$457$	−4.54243	+	21.3704i	−0.212486	+	0.999667i	0.734554	+	0.678550i	$0.237391\pi$
$457$	−4.54243	+	21.3704i	−0.212486	+	0.999667i	−0.947040	+	0.321117i	$0.895942\pi$
$458$	19.7953	−	14.3124i	0.924973	−	0.668773i
$459$	33.1229	+	14.7473i	1.54605	+	0.688344i
$460$	−13.1709	+	1.32283i	−0.614097	+	0.0616774i
$461$	8.58117	−	4.95434i	0.399665	−	0.230747i	−0.286674	−	0.958028i	$-0.592550\pi$
$461$	8.58117	−	4.95434i	0.399665	−	0.230747i	0.686339	+	0.727281i	$0.259216\pi$
$462$	−2.97047	+	9.66338i	−0.138199	+	0.449581i
$463$			22.0233i			1.02351i	0.859132	+	0.511754i	$0.171004\pi$
$463$			22.0233i			1.02351i	−0.859132	+	0.511754i	$0.828996\pi$
$464$	17.0849	+	10.0756i	0.793148	+	0.467748i
$465$	−0.235241	−	2.23817i	−0.0109090	−	0.103793i
$466$	5.94611	+	8.22400i	0.275448	+	0.380969i
$467$	−1.77694	+	0.577363i	−0.0822269	+	0.0267172i	−0.349842	−	0.936809i	$-0.613765\pi$
$467$	−1.77694	+	0.577363i	−0.0822269	+	0.0267172i	0.267615	+	0.963526i	$0.413765\pi$
$468$	3.48067	+	14.3313i	0.160894	+	0.662466i
$469$	−8.57166	+	11.7979i	−0.395802	+	0.544775i
$470$	−2.97175	+	0.957997i	−0.137077	+	0.0441891i
$471$	11.1926	−	10.0779i	0.515729	−	0.464364i
$472$	4.86857	−	10.7342i	0.224094	−	0.494081i
$473$	11.7208	+	10.1725i	0.538922	+	0.467732i
$474$	17.5331	−	15.7137i	0.805321	−	0.721753i
$475$	9.42371	−	2.00307i	0.432389	−	0.0919072i
$476$	28.0232	+	16.3523i	1.28444	+	0.749505i
$477$	2.26474	−	21.5476i	0.103695	−	0.986595i
$478$	39.5840	+	0.0914320i	1.81053	+	0.00418200i
$479$	19.1678	+	4.07423i	0.875797	+	0.186156i	0.623812	−	0.781575i	$-0.285583\pi$
$479$	19.1678	+	4.07423i	0.875797	+	0.186156i	0.251985	+	0.967731i	$0.418916\pi$
$480$	−2.72720	−	6.32086i	−0.124479	−	0.288507i
$481$	1.30685	−	0.181710i	0.0595874	−	0.00828528i
$482$	−31.4198	−	3.37575i	−1.43113	−	0.153761i
$483$	5.72729	−	9.91996i	0.260601	−	0.451374i
$484$	18.2013	+	12.3577i	0.827333	+	0.561712i
$485$	−0.214567	−	0.371641i	−0.00974298	−	0.0168753i
$486$	−22.6074	−	2.42894i	−1.02549	−	0.110179i
$487$	8.44310	−	18.9635i	0.382593	−	0.859319i	−0.614903	−	0.788603i	$-0.710805\pi$
$487$	8.44310	−	18.9635i	0.382593	−	0.859319i	0.997496	−	0.0707162i	$-0.0225285\pi$
$488$	−23.1530	+	13.1543i	−1.04809	+	0.595469i
$489$	−5.03620	−	15.4998i	−0.227745	−	0.700926i
$490$	−1.88727	+	3.25148i	−0.0852583	+	0.146887i
$491$	10.7930	−	4.80534i	0.487080	−	0.216862i	−0.148477	−	0.988916i	$-0.547437\pi$
$491$	10.7930	−	4.80534i	0.487080	−	0.216862i	0.635557	+	0.772054i	$0.280770\pi$
$492$	−1.71123	−	2.99582i	−0.0771484	−	0.135062i
$493$	−11.2695	+	34.6841i	−0.507555	+	1.56209i
$494$	3.39356	+	13.8333i	0.152684	+	0.622388i
$495$	−6.37990	−	5.53714i	−0.286755	−	0.248876i
$496$	−7.05595	+	2.22076i	−0.316822	+	0.0997149i
$497$	−14.9755	+	13.4840i	−0.671741	+	0.604839i
$498$	−1.09732	+	5.10449i	−0.0491722	+	0.228738i
$499$	17.2014	−	23.6757i	0.770041	−	1.05987i	−0.226271	−	0.974064i	$-0.572654\pi$
$499$	17.2014	−	23.6757i	0.770041	−	1.05987i	0.996312	−	0.0858057i	$-0.0273464\pi$
$500$	6.59558	−	19.9845i	0.294963	−	0.893734i
$501$	−2.95242	−	2.65837i	−0.131904	−	0.118767i
$502$	11.5107	−	25.6935i	0.513747	−	1.14676i
$503$	−30.3803	−	13.5262i	−1.35459	−	0.603102i	−0.404345	−	0.914607i	$-0.632500\pi$
$503$	−30.3803	−	13.5262i	−1.35459	−	0.603102i	−0.950245	+	0.311505i	$0.899167\pi$
$504$	−12.4621	−	2.73929i	−0.555105	−	0.122018i
$505$	−1.50016	−	0.866120i	−0.0667564	−	0.0385418i
$506$	−16.9723	−	18.2562i	−0.754511	−	0.811585i
$507$	11.4010	+	5.60212i	0.506335	+	0.248799i
$508$	−2.59534	−	25.8408i	−0.115150	−	1.14650i
$509$	−3.51961	−	33.4868i	−0.156004	−	1.48428i	−0.740047	−	0.672555i	$-0.765197\pi$
$509$	−3.51961	−	33.4868i	−0.156004	−	1.48428i	0.584043	−	0.811723i	$-0.301470\pi$
$510$	10.2573	−	7.41621i	0.454200	−	0.328395i
$511$	−26.6398	−	23.9866i	−1.17847	−	1.06110i
$512$	−18.5785	+	12.9167i	−0.821060	+	0.570841i
$513$	−13.6956	−	1.43946i	−0.604675	−	0.0635539i
$514$	25.2307	+	5.42390i	1.11288	+	0.239238i
$515$	3.07545	+	0.999274i	0.135521	+	0.0440333i
$516$	5.40931	−	7.37341i	0.238132	−	0.324596i
$517$	−4.81900	−	3.36864i	−0.211939	−	0.148152i
$518$	−0.355261	+	1.08485i	−0.0156093	+	0.0476655i
$519$	−5.14322	+	15.8292i	−0.225763	+	0.694826i
$520$	12.1788	+	3.60318i	0.534078	+	0.158010i
$521$	2.39573	+	1.74060i	0.104959	+	0.0762570i	0.639027	−	0.769185i	$-0.279337\pi$
$521$	2.39573	+	1.74060i	0.104959	+	0.0762570i	−0.534068	+	0.845442i	$0.679337\pi$
$522$	0.0331273	−	14.3419i	0.00144994	−	0.627730i
$523$	32.1545	+	6.83464i	1.40602	+	0.298858i	0.847571	−	0.530683i	$-0.178064\pi$
$523$	32.1545	+	6.83464i	1.40602	+	0.298858i	0.558446	+	0.829541i	$0.311398\pi$
$524$	11.3767	+	35.5722i	0.496994	+	1.55398i
$525$	4.36950	+	6.01410i	0.190701	+	0.262477i
$526$	−24.1888	+	10.7027i	−1.05468	+	0.466659i
$527$	−6.80042	−	11.7787i	−0.296231	−	0.513087i
$528$	6.38036	−	11.2845i	0.277670	−	0.491096i
$529$	2.62150	+	4.54057i	0.113978	+	0.197416i
$530$	−15.0698	−	11.0021i	−0.654588	−	0.477900i
$531$	−8.47599	+	0.890863i	−0.367827	+	0.0386602i
$532$	−12.0418	−	2.61777i	−0.522080	−	0.113495i
$533$	6.26688	+	1.11451i	0.271449	+	0.0482747i
$534$	2.08838	−	1.19931i	0.0903732	−	0.0518991i
$535$	−6.79188	+	3.02394i	−0.293639	+	0.130736i
$536$	13.9828	−	12.4158i	0.603965	−	0.536281i
$537$	−11.5817	+	2.46177i	−0.499789	+	0.106233i
$538$	−4.67578	+	0.982585i	−0.201587	+	0.0423622i
$539$	−7.02605	+	0.868317i	−0.302634	+	0.0374011i
$540$	−7.26349	+	9.90083i	−0.312571	+	0.426064i
$541$	−35.9204	−	11.6713i	−1.54434	−	0.501787i	−0.591770	−	0.806107i	$-0.701571\pi$
$541$	−35.9204	−	11.6713i	−1.54434	−	0.501787i	−0.952570	+	0.304320i	$0.901571\pi$
$542$	45.3586	+	9.75083i	1.94832	+	0.418834i
$543$	−0.800116	−	1.79709i	−0.0343363	−	0.0771205i
$544$	−30.5942	−	28.1937i	−1.31172	−	1.20880i
$545$	−11.6743	+	3.79322i	−0.500073	+	0.162484i
$546$	−8.68599	+	6.73355i	−0.371726	+	0.288169i
$547$	17.7816	−	12.9191i	0.760287	−	0.552381i	−0.138712	−	0.990333i	$-0.544296\pi$
$547$	17.7816	−	12.9191i	0.760287	−	0.552381i	0.898998	+	0.437952i	$0.144296\pi$
$548$	17.8403	+	8.04196i	0.762099	+	0.343535i
$549$	16.6751	+	9.62740i	0.711678	+	0.410887i
$550$	15.3037	−	5.24348i	0.652554	−	0.223583i
$551$		−	13.8514i		−	0.590088i
$552$	−9.90359	+	10.8469i	−0.421525	+	0.461677i
$553$	−34.3319	−	15.2856i	−1.45994	−	0.650008i
$554$	−11.8937	+	26.5484i	−0.505314	+	1.12793i
$555$	0.330948	+	0.297986i	0.0140479	+	0.0126488i
$556$	28.3567	−	5.89062i	1.20259	−	0.249818i
$557$	−5.65809	−	12.7083i	−0.239741	−	0.538467i	0.753101	−	0.657905i	$-0.228557\pi$
$557$	−5.65809	−	12.7083i	−0.239741	−	0.538467i	−0.992842	+	0.119438i	$0.961891\pi$
$558$	3.96661	+	3.58817i	0.167920	+	0.151900i
$559$	4.05756	+	16.3764i	0.171616	+	0.692646i
$560$	−7.42776	+	8.09764i	−0.313880	+	0.342188i
$561$	22.7992	+	6.95075i	0.962583	+	0.293461i
$562$	−3.13284	−	1.02593i	−0.132151	−	0.0432761i
$563$	−38.1902	+	8.11757i	−1.60952	+	0.342115i	−0.922942	−	0.384939i	$-0.874223\pi$
$563$	−38.1902	+	8.11757i	−1.60952	+	0.342115i	−0.686581	+	0.727053i	$0.740889\pi$
$564$	−1.74612	+	2.99236i	−0.0735250	+	0.126001i
$565$	−0.00460948	+	0.0438562i	−0.000193922	+	0.00184505i
$566$	22.1548	−	38.1694i	0.931237	−	1.60438i
$567$	0.898552	+	2.76546i	0.0377356	+	0.116138i
$568$	22.4670	−	12.7646i	0.942693	−	0.535589i
$569$	−28.0535	+	2.94854i	−1.17606	+	0.123609i	−0.672332	−	0.740250i	$-0.734707\pi$
$569$	−28.0535	+	2.94854i	−1.17606	+	0.123609i	−0.503733	+	0.863860i	$0.668040\pi$
$570$	−2.83473	+	3.88278i	−0.118734	+	0.162632i
$571$	−4.51876			−0.189104			−0.0945520	−	0.995520i	$-0.530142\pi$
$571$	−4.51876			−0.189104			−0.0945520	+	0.995520i	$0.530142\pi$
$572$	8.45248	+	22.3731i	0.353416	+	0.935466i
$573$	−4.42668			−0.184927
$574$	−3.24723	+	4.44779i	−0.135537	+	0.185647i
$575$	−18.2288	+	1.91593i	−0.760195	+	0.0798997i
$576$	14.8532	+	6.86128i	0.618884	+	0.285887i
$577$	9.32909	+	28.7120i	0.388375	+	1.19530i	0.934002	+	0.357268i	$0.116292\pi$
$577$	9.32909	+	28.7120i	0.388375	+	1.19530i	−0.545627	+	0.838028i	$0.683708\pi$
$578$	26.3317	−	45.3655i	1.09525	−	1.88696i
$579$	2.83109	−	26.9360i	0.117656	−	1.11942i
$580$	−10.6677	−	6.22488i	−0.442952	−	0.258474i
$581$	8.15175	−	1.73271i	0.338192	−	0.0718848i
$582$	−0.452521	−	0.148189i	−0.0187576	−	0.00614265i
$583$	−0.640915	−	35.1300i	−0.0265440	−	1.45493i
$584$	26.7600	+	37.3739i	1.10734	+	1.54654i
$585$	−2.20863	−	8.91404i	−0.0913155	−	0.368550i
$586$	13.3704	+	12.0948i	0.552325	+	0.499630i
$587$	4.55595	+	10.2328i	0.188044	+	0.422354i	0.982824	−	0.184543i	$-0.0590806\pi$
$587$	4.55595	+	10.2328i	0.188044	+	0.422354i	−0.794780	+	0.606897i	$0.792414\pi$
$588$	0.848458	+	4.08437i	0.0349898	+	0.168436i
$589$	3.83891	+	3.45657i	0.158179	+	0.142425i
$590$	−3.00076	+	6.69813i	−0.123539	+	0.275758i
$591$	−8.80860	−	3.92184i	−0.362337	−	0.161323i
$592$	0.743566	−	1.26085i	0.0305604	−	0.0518205i
$593$			43.0356i			1.76726i	0.468186	+	0.883630i	$0.344908\pi$
$593$			43.0356i			1.76726i	−0.468186	+	0.883630i	$0.655092\pi$
$594$	−23.1204	+	0.368391i	−0.948640	+	0.0151153i
$595$	−17.4969	−	10.1019i	−0.717305	−	0.414136i
$596$	−3.32813	+	7.38313i	−0.136326	+	0.302425i
$597$	−11.4242	+	8.30019i	−0.467563	+	0.339704i
$598$	−3.66995	−	26.8486i	−0.150076	−	1.09792i
$599$	−12.3456	+	4.01132i	−0.504426	+	0.163898i	−0.550166	−	0.835055i	$-0.685436\pi$
$599$	−12.3456	+	4.01132i	−0.504426	+	0.163898i	0.0457397	+	0.998953i	$0.485436\pi$
$600$	−3.81669	−	8.73482i	−0.155816	−	0.356598i
$601$	11.9670	+	26.8782i	0.488142	+	1.09639i	0.974858	+	0.222825i	$0.0715280\pi$
$601$	11.9670	+	26.8782i	0.488142	+	1.09639i	−0.486716	+	0.873560i	$0.661805\pi$
$602$	−14.2708	−	3.06783i	−0.581636	−	0.125035i
$603$	−12.8594	−	4.17828i	−0.523676	−	0.170153i
$604$	−7.46269	−	5.47481i	−0.303653	−	0.222767i
$605$	−11.3694	−	7.64271i	−0.462233	−	0.310720i
$606$	−1.88101	+	0.395283i	−0.0764109	+	0.0160573i
$607$	29.4628	−	6.26252i	1.19586	−	0.254188i	0.433387	−	0.901208i	$-0.357318\pi$
$607$	29.4628	−	6.26252i	1.19586	−	0.254188i	0.762473	+	0.647020i	$0.223985\pi$
$608$	14.3604	+	6.59340i	0.582389	+	0.267398i
$609$	9.76378	−	4.34711i	0.395648	−	0.176154i
$610$	14.3795	−	8.25775i	0.582207	−	0.334347i
$611$	−2.17733	−	6.00959i	−0.0880852	−	0.243122i
$612$	−6.39046	+	29.3963i	−0.258319	+	1.18828i
$613$	1.66188	−	0.174671i	0.0671229	−	0.00705490i	−0.0709075	−	0.997483i	$-0.522590\pi$
$613$	1.66188	−	0.174671i	0.0671229	−	0.00705490i	0.138030	+	0.990428i	$0.455923\pi$
$614$	−3.23641	−	2.36283i	−0.130611	−	0.0953560i
$615$	1.07420	+	1.86056i	0.0433158	+	0.0750251i
$616$	−20.6018	−	1.92997i	−0.830071	−	0.0777608i
$617$	4.05138	+	7.01719i	0.163102	+	0.282501i	0.935980	−	0.352054i	$-0.114517\pi$
$617$	4.05138	+	7.01719i	0.163102	+	0.282501i	−0.772877	+	0.634555i	$0.781183\pi$
$618$	3.28129	−	1.45185i	0.131993	−	0.0584021i
$619$	−14.6706	−	20.1923i	−0.589661	−	0.811599i	0.405052	−	0.914294i	$-0.367253\pi$
$619$	−14.6706	−	20.1923i	−0.589661	−	0.811599i	−0.994713	+	0.102695i	$0.967253\pi$
$620$	4.38732	−	1.40315i	0.176199	−	0.0563520i
$621$	25.6270	+	5.44719i	1.02838	+	0.218588i
$622$	−0.0842806	+	36.4880i	−0.00337935	+	1.46303i
$623$	−3.10988	−	2.25946i	−0.124595	−	0.0905234i
$624$	12.7318	−	6.04185i	0.509682	−	0.241868i
$625$	1.27940	−	3.93759i	0.0511760	−	0.157504i
$626$	−10.7694	+	32.8862i	−0.430433	+	1.31440i
$627$	−9.05137	+	0.165134i	−0.361477	+	0.00659482i
$628$	24.8553	+	18.2345i	0.991834	+	0.727634i
$629$	2.55964	+	0.831678i	0.102060	+	0.0331612i
$630$	7.76796	+	1.66989i	0.309483	+	0.0665301i
$631$	21.6454	+	2.27503i	0.861691	+	0.0905674i	0.525056	−	0.851068i	$-0.324044\pi$
$631$	21.6454	+	2.27503i	0.861691	+	0.0905674i	0.336635	+	0.941635i	$0.390711\pi$
$632$	38.7888	+	28.5945i	1.54294	+	1.13743i
$633$	−4.03791	−	3.63575i	−0.160492	−	0.144508i
$634$	−15.3346	+	11.0872i	−0.609014	+	0.440329i
$635$	1.69044	+	16.0835i	0.0670831	+	0.638253i
$636$	−20.6000	+	2.06897i	−0.816842	+	0.0820402i
$637$	−6.79006	−	3.62313i	−0.269032	−	0.143554i
$638$	−2.79934	−	23.0891i	−0.110827	−	0.914106i
$639$	−16.1810	−	9.34212i	−0.640112	−	0.369569i
$640$	11.5316	−	8.09659i	0.455826	−	0.320046i
$641$	2.93682	+	1.30756i	0.115997	+	0.0516453i	0.463915	−	0.885880i	$-0.346444\pi$
$641$	2.93682	+	1.30756i	0.115997	+	0.0516453i	−0.347917	+	0.937525i	$0.613111\pi$
$642$	−3.37277	+	7.52851i	−0.133112	+	0.297127i
$643$	−18.2558	−	16.4376i	−0.719939	−	0.648236i	0.225422	−	0.974261i	$-0.427624\pi$
$643$	−18.2558	−	16.4376i	−0.719939	−	0.648236i	−0.945361	+	0.326025i	$0.894291\pi$
$644$	22.2636	+	7.34777i	0.877310	+	0.289543i
$645$	−3.34714	+	4.60695i	−0.131794	+	0.181398i
$646$	−6.10625	+	28.4049i	−0.240247	+	1.11758i
$647$	−5.53495	+	4.98369i	−0.217601	+	0.195929i	−0.770721	−	0.637173i	$-0.780104\pi$
$647$	−5.53495	+	4.98369i	−0.217601	+	0.195929i	0.553120	+	0.833102i	$0.313437\pi$
$648$	−0.364039	−	3.71077i	−0.0143008	−	0.145773i
$649$	−13.4644	+	3.11969i	−0.528524	+	0.122459i
$650$	16.8867	+	4.91129i	0.662349	+	0.192637i
$651$	−1.23172	+	3.79085i	−0.0482749	+	0.148575i
$652$	28.9648	−	16.5449i	1.13435	−	0.647949i
$653$	−40.2396	+	17.9158i	−1.57470	+	0.701101i	−0.993623	−	0.112750i	$-0.964034\pi$
$653$	−40.2396	+	17.9158i	−1.57470	+	0.701101i	−0.581075	+	0.813850i	$0.697368\pi$
$654$	−6.83746	+	11.7799i	−0.267366	+	0.460631i
$655$	−7.18655	−	22.1179i	−0.280802	−	0.864219i
$656$	5.29120	−	4.67642i	0.206587	−	0.182584i
$657$	13.5188	−	30.3638i	0.527420	−	1.18460i
$658$	5.49845	+	0.590754i	0.214352	+	0.0230300i
$659$	10.5552	+	18.2821i	0.411172	+	0.712171i	0.995018	−	0.0996933i	$-0.0317862\pi$
$659$	10.5552	+	18.2821i	0.411172	+	0.712171i	−0.583846	+	0.811864i	$0.698453\pi$
$660$	−3.94056	+	7.04517i	−0.153386	+	0.274233i
$661$	15.7832	−	27.3373i	0.613895	−	1.06330i	−0.376682	−	0.926343i	$-0.622935\pi$
$661$	15.7832	−	27.3373i	0.613895	−	1.06330i	0.990577	−	0.136955i	$-0.0437316\pi$
$662$	4.66927	+	0.501667i	0.181476	+	0.0194978i
$663$	15.9228	+	20.4420i	0.618389	+	0.793902i
$664$	−10.6861	−	0.0740500i	−0.414701	−	0.00287370i
$665$	7.50593	+	1.59543i	0.291067	+	0.0618683i
$666$	−1.05842	−	0.00244475i	−0.0410129	−	9.47323e-5i
$667$	−2.75457	+	26.2080i	−0.106657	+	1.01478i
$668$	4.09825	−	7.02325i	0.158566	−	0.271738i
$669$	−15.1303	+	3.21605i	−0.584973	+	0.124340i
$670$	−8.67131	+	7.77149i	−0.335002	+	0.300239i
$671$	28.7526	+	12.1780i	1.10998	+	0.470126i
$672$	−0.140811	+	12.1919i	−0.00543190	+	0.470311i
$673$	22.5697	−	20.3219i	0.869999	−	0.783350i	−0.107519	−	0.994203i	$-0.534291\pi$
$673$	22.5697	−	20.3219i	0.869999	−	0.783350i	0.977518	+	0.210853i	$0.0676240\pi$
$674$	−22.9141	+	7.38678i	−0.882620	+	0.284528i
$675$	−9.99416	+	13.7558i	−0.384675	+	0.529460i
$676$	−6.48040	+	25.1794i	−0.249246	+	0.968440i
$677$	−1.94838	+	0.633066i	−0.0748822	+	0.0243307i	−0.346219	−	0.938154i	$-0.612534\pi$
$677$	−1.94838	+	0.633066i	−0.0748822	+	0.0243307i	0.271336	+	0.962485i	$0.412534\pi$
$678$	0.0286694	+	0.0396523i	0.00110104	+	0.00152284i
$679$	0.0794472	+	0.755889i	0.00304890	+	0.0290084i
$680$	19.1320	+	17.4681i	0.733678	+	0.669870i
$681$		−	3.20928i		−	0.122980i
$682$	7.09772	+	4.98598i	0.271786	+	0.190923i
$683$	24.1427	−	13.9388i	0.923796	−	0.533354i	0.0389518	−	0.999241i	$-0.487598\pi$
$683$	24.1427	−	13.9388i	0.923796	−	0.533354i	0.884844	+	0.465887i	$0.154265\pi$
$684$	−1.14182	−	11.3686i	−0.0436585	−	0.434691i
$685$	−11.1322	−	4.95637i	−0.425339	−	0.189373i
$686$	23.0913	−	16.6955i	0.881630	−	0.637435i
$687$	−3.50916	+	16.5093i	−0.133883	+	0.629869i
$688$	17.0280	+	7.77067i	0.649188	+	0.296254i
$689$	21.4058	−	31.6351i	0.815495	−	1.20520i
$690$	6.13572	−	6.78283i	0.233583	−	0.258218i
$691$	8.96248	−	8.06985i	0.340949	−	0.306992i	−0.480813	−	0.876823i	$-0.659658\pi$
$691$	8.96248	−	8.06985i	0.340949	−	0.306992i	0.821761	+	0.569832i	$0.192992\pi$
$692$	−33.8626	−	3.71734i	−1.28726	−	0.141312i
$693$	6.33388	+	13.5551i	0.240604	+	0.514917i
$694$	−46.5040	+	9.77252i	−1.76527	+	0.370960i
$695$	−17.6407	+	3.74964i	−0.669148	+	0.142232i
$696$	−13.4247	+	2.75642i	−0.508862	+	0.104482i
$697$	10.5041	+	7.63167i	0.397871	+	0.289070i
$698$	−8.67959	−	5.03793i	−0.328527	−	0.190688i
$699$	−6.85883	−	1.45789i	−0.259425	−	0.0551424i
$700$	−10.2332	+	11.2600i	−0.386777	+	0.425589i
$701$	−0.0341150	−	0.0469553i	−0.00128851	−	0.00177348i	0.808372	−	0.588672i	$-0.200349\pi$
$701$	−0.0341150	−	0.0469553i	−0.00128851	−	0.00177348i	−0.809661	+	0.586898i	$0.800349\pi$
$702$	−20.7868	−	14.1354i	−0.784548	−	0.533508i
$703$	−1.02221			−0.0385535
$704$	25.2701	+	8.08846i	0.952402	+	0.304845i
$705$	1.07869	−	1.86835i	0.0406260	−	0.0703663i
$706$	−10.3660	+	4.58658i	−0.390130	+	0.172618i
$707$	1.80334	+	2.48209i	0.0678216	+	0.0933485i
$708$	2.48083	+	7.75696i	0.0932353	+	0.291524i
$709$	−18.3595	+	20.3903i	−0.689505	+	0.765773i	−0.981669	−	0.190596i	$-0.938958\pi$
$709$	−18.3595	+	20.3903i	−0.689505	+	0.765773i	0.292164	+	0.956368i	$0.405625\pi$
$710$	−13.9534	+	8.01306i	−0.523660	+	0.300725i
$711$	3.64226	−	34.6538i	0.136595	−	1.29962i
$712$	3.27277	+	3.68582i	0.122652	+	0.138132i
$713$	−6.57616	−	7.30356i	−0.246279	−	0.273521i
$714$	−21.9389	+	4.61032i	−0.821043	+	0.172537i
$715$	−5.32768	−	13.9073i	−0.199244	−	0.520104i
$716$	−9.75474	−	22.1848i	−0.364552	−	0.829083i
$717$	−20.3255	+	18.3012i	−0.759071	+	0.683470i
$718$	−2.49087	−	7.72680i	−0.0929585	−	0.288362i
$719$	18.7913	+	1.97504i	0.700796	+	0.0736566i	0.448224	−	0.893921i	$-0.352057\pi$
$719$	18.7913	+	1.97504i	0.700796	+	0.0736566i	0.252572	+	0.967578i	$0.418723\pi$
$720$	−9.26876	−	4.22976i	−0.345426	−	0.157634i
$721$	−4.25625	−	3.83234i	−0.158511	−	0.142724i
$722$	1.61884	+	15.7521i	0.0602469	+	0.586233i
$723$	17.6645	−	12.8340i	0.656949	−	0.477301i
$724$	3.26825	−	2.35153i	0.121464	−	0.0873941i
$725$	−14.8110	−	8.55113i	−0.550066	−	0.317581i
$726$	−15.0545	+	2.10454i	−0.558726	+	0.0781067i
$727$			0.523591i			0.0194189i	0.999953	+	0.00970945i	$0.00309066\pi$
$727$			0.523591i			0.0194189i	−0.999953	+	0.00970945i	$0.996909\pi$
$728$	−17.1098	−	14.6034i	−0.634133	−	0.541239i
$729$	9.51059	−	6.90985i	0.352244	−	0.255920i
$730$	−16.7709	−	23.1956i	−0.620717	−	0.858507i
$731$	−7.15520	+	33.6626i	−0.264645	+	1.24506i
$732$	5.76647	−	17.4723i	0.213135	−	0.645795i
$733$	4.82580	−	6.64214i	0.178245	−	0.245333i	−0.710541	−	0.703656i	$-0.751550\pi$
$733$	4.82580	−	6.64214i	0.178245	−	0.245333i	0.888786	+	0.458323i	$0.151550\pi$
$734$	−5.35555	+	24.9128i	−0.197677	+	0.919548i
$735$	−0.540080	−	2.54088i	−0.0199211	−	0.0937216i
$736$	−25.8599	−	15.3311i	−0.953208	−	0.565112i
$737$	−21.5275	−	4.16691i	−0.792977	−	0.153490i
$738$	−4.85250	−	1.58907i	−0.178623	−	0.0584946i
$739$	26.5061	+	29.4380i	0.975043	+	1.08290i	0.996539	+	0.0831261i	$0.0264904\pi$
$739$	26.5061	+	29.4380i	0.975043	+	1.08290i	−0.0214959	+	0.999769i	$0.506843\pi$
$740$	−0.459388	+	0.787262i	−0.0168875	+	0.0289403i
$741$	−8.15090	−	5.51528i	−0.299431	−	0.202609i
$742$	16.4573	+	28.6575i	0.604166	+	1.05205i
$743$	−12.6337	−	2.68538i	−0.463487	−	0.0985172i	−0.0297512	−	0.999557i	$-0.509471\pi$
$743$	−12.6337	−	2.68538i	−0.463487	−	0.0985172i	−0.433736	+	0.901040i	$0.642805\pi$
$744$	2.58615	−	4.40852i	0.0948130	−	0.161624i
$745$	2.05118	−	4.60702i	0.0751493	−	0.168788i
$746$	3.66506	+	0.393775i	0.134188	+	0.0144171i
$747$	3.86354	+	6.69184i	0.141359	+	0.244842i
$748$	−4.43804	+	48.5827i	−0.162271	+	1.77636i
$749$	13.1677			0.481139
$750$	5.88362	+	13.2974i	0.214839	+	0.485552i
$751$	−4.90626	+	0.515669i	−0.179032	+	0.0188170i	−0.193620	−	0.981077i	$-0.562023\pi$
$751$	−4.90626	+	0.515669i	−0.179032	+	0.0188170i	0.0145881	+	0.999894i	$0.495356\pi$
$752$	−6.72354	−	2.25350i	−0.245182	−	0.0821766i
$753$	6.01134	+	18.5010i	0.219065	+	0.674214i
$754$	11.9545	−	22.2797i	0.435358	−	0.811379i
$755$	4.66273	+	3.38767i	0.169694	+	0.123290i
$756$	18.8848	−	10.7871i	0.686834	−	0.392324i
$757$	12.7212	+	14.1283i	0.462359	+	0.513502i	0.928563	−	0.371176i	$-0.121045\pi$
$757$	12.7212	+	14.1283i	0.462359	+	0.513502i	−0.466203	+	0.884678i	$0.654379\pi$
$758$	21.5058	−	19.2742i	0.781126	−	0.700069i
$759$	17.1588	+	1.48757i	0.622827	+	0.0539953i
$760$	−8.96110	−	4.06437i	−0.325053	−	0.147430i
$761$	−2.09083	−	9.83656i	−0.0757924	−	0.356575i	0.923866	−	0.382716i	$-0.125011\pi$
$761$	−2.09083	−	9.83656i	−0.0757924	−	0.356575i	−0.999658	+	0.0261413i	$0.991678\pi$
$762$	13.3076	+	12.0380i	0.482084	+	0.436091i
$763$	21.6217	+	2.27254i	0.782760	+	0.0822714i
$764$	−1.84280	−	8.87099i	−0.0666700	−	0.320941i
$765$	3.89475	−	18.3233i	0.140815	−	0.662482i
$766$	11.1387	−	24.8633i	0.402459	−	0.898347i
$767$	−13.9228	−	5.64895i	−0.502722	−	0.203972i
$768$	3.53260	−	15.2301i	0.127472	−	0.549569i
$769$	−27.6767	−	15.9791i	−0.998046	−	0.576222i	−0.0903766	−	0.995908i	$-0.528807\pi$
$769$	−27.6767	−	15.9791i	−0.998046	−	0.576222i	−0.907670	+	0.419685i	$0.862140\pi$
$770$	12.8342	+	1.14252i	0.462513	+	0.0411736i
$771$	−15.4425	+	8.91573i	−0.556148	+	0.321092i
$772$	55.1578	−	5.53982i	1.98517	−	0.199382i
$773$	−17.4260	−	7.75855i	−0.626770	−	0.279056i	0.0686710	−	0.997639i	$-0.478124\pi$
$773$	−17.4260	−	7.75855i	−0.626770	−	0.279056i	−0.695441	+	0.718584i	$0.744791\pi$
$774$	−1.38360	−	13.4632i	−0.0497325	−	0.483923i
$775$	6.06599	−	1.97096i	0.217897	−	0.0707989i
$776$	0.108588	−	0.968534i	0.00389807	−	0.0347683i
$777$	−0.320812	−	0.720555i	−0.0115091	−	0.0258498i
$778$	−11.6767	−	36.2217i	−0.418630	−	1.29861i
$779$	−4.69003	−	1.52388i	−0.168038	−	0.0545987i
$780$	−7.91068	+	3.79886i	−0.283248	+	0.136021i
$781$	−27.9006	−	11.8171i	−0.998361	−	0.422850i
$782$	17.2024	−	52.5302i	0.615155	−	1.87848i
$783$	16.3574	+	18.1667i	0.584565	+	0.649225i
$784$	−7.83179	+	3.40059i	−0.279707	+	0.121450i
$785$	−15.5297	−	11.2830i	−0.554280	−	0.402708i
$786$	−22.3180	−	12.9541i	−0.796056	−	0.462058i
$787$	−6.07758	+	6.74983i	−0.216642	+	0.240606i	−0.841664	−	0.540002i	$-0.818423\pi$
$787$	−6.07758	+	6.74983i	−0.216642	+	0.240606i	0.625022	+	0.780607i	$0.285090\pi$
$788$	4.19234	−	19.2849i	0.149346	−	0.686996i
$789$	7.43361	−	16.6962i	0.264644	−	0.594399i
$790$	−24.2359	−	17.6941i	−0.862274	−	0.629527i
$791$	0.0390515	−	0.0676393i	0.00138851	−	0.00240498i
$792$	−4.20091	−	18.7199i	−0.149273	−	0.665181i
$793$	17.9460	+	28.8137i	0.637282	+	1.02320i
$794$	−1.56106	+	14.5295i	−0.0553998	+	0.515634i
$795$	12.8216	−	1.34760i	0.454734	−	0.0477944i
$796$	−21.3893	−	19.4386i	−0.758122	−	0.688985i
$797$	−0.818053	+	0.908540i	−0.0289769	+	0.0321821i	−0.757459	−	0.652883i	$-0.773559\pi$
$797$	−0.818053	+	0.908540i	−0.0289769	+	0.0321821i	0.728482	+	0.685065i	$0.240226\pi$
$798$	7.38372	−	4.24028i	0.261381	−	0.150104i
$799$	1.36286	−	12.9667i	0.0482144	−	0.458730i
$800$	15.9156	−	11.2848i	0.562700	−	0.398979i
$801$	1.10138	−	3.38970i	0.0389154	−	0.119769i
$802$	30.1220	+	33.6097i	1.06364	+	1.18680i
$803$	15.7183	−	51.5576i	0.554686	−	1.81943i
$804$	−1.40990	+	12.8433i	−0.0497233	+	0.452947i
$805$	−13.8846	−	4.51138i	−0.489368	−	0.159005i
$806$	3.19161	+	8.87303i	0.112420	+	0.312539i
$807$	1.94045	−	2.67081i	0.0683072	−	0.0940168i
$808$	−1.57519	−	3.60496i	−0.0554150	−	0.126822i
$809$	−4.88582	+	22.9860i	−0.171776	+	0.808144i	0.804897	+	0.593414i	$0.202220\pi$
$809$	−4.88582	+	22.9860i	−0.171776	+	0.808144i	−0.976674	+	0.214730i	$0.931113\pi$
$810$	0.237360	+	2.30963i	0.00833998	+	0.0811523i
$811$	−36.7347	+	26.6894i	−1.28993	+	0.937190i	−0.999804	−	0.0197980i	$-0.993698\pi$
$811$	−36.7347	+	26.6894i	−1.28993	+	0.937190i	−0.290127	+	0.956988i	$0.593698\pi$
$812$	12.7761	+	17.7568i	0.448354	+	0.623140i
$813$	−27.7618	+	16.0283i	−0.973649	+	0.562137i
$814$	−1.70395	+	0.206588i	−0.0597233	+	0.00724090i
$815$	−17.9887	+	10.3858i	−0.630116	+	0.363797i
$816$	28.7451	+	0.265591i	1.00628	+	0.00929755i
$817$	−1.36630	−	12.9995i	−0.0478008	−	0.454794i
$818$	4.19632	−	9.36681i	0.146721	−	0.327503i
$819$	−2.84796	+	16.0141i	−0.0995157	+	0.559577i
$820$	−3.28135	+	2.92721i	−0.114590	+	0.102223i
$821$	19.3571	+	43.4769i	0.675569	+	1.51735i	0.846681	+	0.532101i	$0.178598\pi$
$821$	19.3571	+	43.4769i	0.675569	+	1.51735i	−0.171111	+	0.985252i	$0.554736\pi$
$822$	−12.8691	+	4.14859i	−0.448862	+	0.144699i
$823$	4.22884	+	19.8951i	0.147408	+	0.693501i	0.988328	+	0.152341i	$0.0486813\pi$
$823$	4.22884	+	19.8951i	0.147408	+	0.693501i	−0.840920	+	0.541160i	$0.817985\pi$
$824$	4.27546	+	5.97125i	0.148943	+	0.208018i
$825$	−5.41129	+	9.78040i	−0.188397	+	0.340510i
$826$	9.68049	−	8.67595i	0.336827	−	0.301875i
$827$	−14.6367	+	45.0471i	−0.508968	+	1.56644i	0.285028	+	0.958519i	$0.407997\pi$
$827$	−14.6367	+	45.0471i	−0.508968	+	1.56644i	−0.793996	+	0.607923i	$0.792003\pi$
$828$	−0.100420	+	21.7376i	−0.00348985	+	0.755433i
$829$	14.3746	−	6.40000i	0.499252	−	0.222281i	−0.141631	−	0.989919i	$-0.545235\pi$
$829$	14.3746	−	6.40000i	0.499252	−	0.222281i	0.640884	+	0.767638i	$0.278568\pi$
$830$	6.65440	+	0.0153705i	0.230978	+	0.000533517i
$831$	−6.21135	−	19.1166i	−0.215469	−	0.663147i
$832$	17.4079	+	22.9992i	0.603512	+	0.797354i
$833$	−9.22752	−	12.7006i	−0.319715	−	0.440050i
$834$	−11.7998	+	16.1623i	−0.408592	+	0.559656i
$835$	−2.53176	+	4.38513i	−0.0876151	+	0.151754i
$836$	−4.09895	−	18.0700i	−0.141765	−	0.624965i
$837$	−9.11684			−0.315124
$838$	8.65342	+	19.5574i	0.298927	+	0.675597i
$839$	−17.7543	+	39.8767i	−0.612945	+	1.37670i	0.294145	+	0.955761i	$0.404965\pi$
$839$	−17.7543	+	39.8767i	−0.612945	+	1.37670i	−0.907090	+	0.420937i	$0.861701\pi$
$840$	0.0526107	−	7.59222i	0.00181524	−	0.261956i
$841$	2.95201	−	3.27854i	0.101794	−	0.113053i
$842$	−34.2975	−	0.0792209i	−1.18197	−	0.00273013i
$843$	2.08083	−	0.926445i	0.0716676	−	0.0319085i
$844$	5.60502	−	9.60543i	0.192933	−	0.330632i
$845$	3.96288	−	15.6978i	0.136327	−	0.540020i
$846$	1.05447	+	5.01785i	0.0362534	+	0.172517i
$847$	12.8902	+	20.5563i	0.442911	+	0.706324i
$848$	−12.7218	−	40.4207i	−0.436869	−	1.38805i
$849$	6.34003	+	29.8275i	0.217589	+	1.02368i
$850$	26.6031	+	24.0650i	0.912479	+	0.825424i
$851$	1.93412	+	0.203284i	0.0663007	+	0.00696848i
$852$	−5.59560	+	16.9546i	−0.191702	+	0.580854i
$853$	6.45417	−	2.09709i	0.220987	−	0.0718029i	−0.196431	−	0.980518i	$-0.562935\pi$
$853$	6.45417	−	2.09709i	0.220987	−	0.0718029i	0.417418	+	0.908715i	$0.362935\pi$
$854$	−29.2149	+	3.00240i	−0.999712	+	0.102740i
$855$	0.743709	+	7.07592i	0.0254343	+	0.241991i
$856$	−16.4911	−	3.62490i	−0.563653	−	0.123896i
$857$		−	6.29724i		−	0.215110i	−0.994199	−	0.107555i	$-0.965698\pi$
$857$		−	6.29724i		−	0.215110i	0.994199	−	0.107555i	$-0.0343021\pi$
$858$	−14.7015	−	7.54624i	−0.501902	−	0.257624i
$859$		−	24.1365i		−	0.823526i	−0.911291	−	0.411763i	$-0.864913\pi$
$859$		−	24.1365i		−	0.823526i	0.911291	−	0.411763i	$-0.135087\pi$
$860$	−10.6256	−	4.78977i	−0.362331	−	0.163330i
$861$	−0.397740	−	3.78424i	−0.0135549	−	0.128967i
$862$	−3.09200	−	30.0867i	−0.105314	−	1.02476i
$863$	20.1295	−	6.54048i	0.685217	−	0.222640i	0.0543390	−	0.998523i	$-0.482695\pi$
$863$	20.1295	−	6.54048i	0.685217	−	0.222640i	0.630878	+	0.775882i	$0.282695\pi$
$864$	−26.6206	+	8.31090i	−0.905650	+	0.282743i
$865$	21.0967	+	2.21736i	0.717311	+	0.0753924i
$866$	0.201337	−	0.222571i	0.00684171	−	0.00756328i
$867$	7.53533	+	35.4509i	0.255913	+	1.20398i
$868$	−8.10954	−	0.890243i	−0.275256	−	0.0302168i
$869$	−1.03075	−	56.4977i	−0.0349658	−	1.91655i
$870$	8.35157	−	1.75503i	0.283145	−	0.0595010i
$871$	−16.5336	−	17.1714i	−0.560219	−	0.581830i
$872$	−26.4531	−	8.79826i	−0.895816	−	0.297947i
$873$	−0.643788	+	0.286633i	−0.0217889	+	0.00970105i
$874$	−0.0484926	+	20.9941i	−0.00164029	+	0.710136i
$875$	15.5305	−	17.2484i	0.525028	−	0.583102i
$876$	−31.0356	−	6.74683i	−1.04860	−	0.227954i
$877$	10.6817	−	23.9915i	0.360696	−	0.810136i	−0.638484	−	0.769635i	$-0.720438\pi$
$877$	10.6817	−	23.9915i	0.360696	−	0.810136i	0.999180	−	0.0405008i	$-0.0128953\pi$
$878$	22.9459	−	10.1527i	0.774386	−	0.342638i
$879$	−12.4573			−0.420173
$880$	−15.7588	−	4.96396i	−0.531230	−	0.167335i
$881$	−5.92945	+	10.2701i	−0.199768	+	0.346009i	−0.948453	−	0.316917i	$-0.897352\pi$
$881$	−5.92945	+	10.2701i	−0.199768	+	0.346009i	0.748685	+	0.662926i	$0.230686\pi$
$882$	4.98630	+	3.64039i	0.167898	+	0.122578i
$883$	−20.8256	−	28.6640i	−0.700838	−	0.964620i	−0.999946	−	0.0104010i	$-0.996689\pi$
$883$	−20.8256	−	28.6640i	−0.700838	−	0.964620i	0.299108	−	0.954219i	$-0.403311\pi$
$884$	−34.3369	+	40.4188i	−1.15487	+	1.35943i
$885$	−1.56712	−	4.82309i	−0.0526780	−	0.162126i
$886$	−0.104038	+	45.0418i	−0.00349524	+	1.51321i
$887$	−35.5215	+	15.8152i	−1.19270	+	0.531023i	−0.904469	−	0.426539i	$-0.859733\pi$
$887$	−35.5215	+	15.8152i	−1.19270	+	0.531023i	−0.288228	+	0.957562i	$0.593066\pi$
$888$	0.203420	+	0.990726i	0.00682634	+	0.0332466i
$889$	8.85113	−	27.2410i	0.296857	−	0.913633i
$890$	−2.04854	−	2.28573i	−0.0686672	−	0.0766178i
$891$	−3.19524	+	2.98432i	−0.107045	+	0.0999786i
$892$	−12.7436	−	28.9821i	−0.426686	−	0.970392i
$893$	1.02959	+	4.84383i	0.0344538	+	0.162092i
$894$	−1.71688	−	5.32583i	−0.0574210	−	0.178122i
$895$	6.13805	+	13.7863i	0.205172	+	0.460825i
$896$	−24.4909	+	4.79320i	−0.818183	+	0.160130i
$897$	14.3254	+	12.0563i	0.478312	+	0.402549i
$898$	28.3438	+	12.6980i	0.945845	+	0.423738i
$899$	−0.958528	−	9.11978i	−0.0319687	−	0.304162i
$900$	−12.8612	−	5.79750i	−0.428706	−	0.193250i
$901$	67.4752	−	38.9568i	2.24793	−	1.29784i
$902$	−8.12587	−	1.59234i	−0.270562	−	0.0530191i
$903$	8.73449	−	5.04286i	0.290666	−	0.167816i
$904$	−0.0675277	+	0.0739599i	−0.00224594	+	0.00245987i
$905$	−2.02836	+	1.47369i	−0.0674250	+	0.0489872i
$906$	6.36163	−	0.653781i	0.211351	−	0.0217204i
$907$	1.80824	−	8.50710i	0.0600416	−	0.282474i	−0.937876	−	0.346970i	$-0.887211\pi$
$907$	1.80824	−	8.50710i	0.0600416	−	0.282474i	0.997918	+	0.0644961i	$0.0205440\pi$
$908$	6.43133	−	1.33600i	0.213431	−	0.0443367i
$909$	−1.67204	+	2.30137i	−0.0554581	+	0.0763315i
$910$	10.6962	+	9.04427i	0.354576	+	0.299815i
$911$	19.4006	+	6.30364i	0.642771	+	0.208849i	0.612224	−	0.790684i	$-0.290275\pi$
$911$	19.4006	+	6.30364i	0.642771	+	0.208849i	0.0305471	+	0.999533i	$0.490275\pi$
$912$	−10.4145	+	3.27782i	−0.344860	+	0.108540i
$913$	7.54916	+	10.0016i	0.249841	+	0.331006i
$914$	23.0090	−	20.6214i	0.761072	−	0.682095i
$915$	−3.54049	+	10.8965i	−0.117045	+	0.360228i
$916$	−34.5452	−	0.159587i	−1.14141	−	0.00527291i
$917$	−4.30550	+	40.9641i	−0.142180	+	1.35275i
$918$	−25.5353	−	44.4653i	−0.842791	−	1.46757i
$919$	−18.6829	+	20.7494i	−0.616292	+	0.684461i	−0.967799	−	0.251724i	$-0.919003\pi$
$919$	−18.6829	+	20.7494i	−0.616292	+	0.684461i	0.351507	+	0.936185i	$0.385669\pi$
$920$	16.1469	+	9.47222i	0.532348	+	0.312290i
$921$	2.75358	−	0.289413i	0.0907336	−	0.00953648i
$922$	−13.9328	−	1.49694i	−0.458853	−	0.0492992i
$923$	−17.4143	−	27.9599i	−0.573197	−	0.920311i
$924$	11.4511	−	8.56045i	0.376714	−	0.281618i
$925$	−0.631063	+	1.09303i	−0.0207492	+	0.0359387i
$926$	18.3651	−	25.1550i	0.603514	−	0.826643i
$927$	2.15991	−	4.85124i	0.0709407	−	0.159335i
$928$	−11.1124	−	25.7554i	−0.364783	−	0.845461i
$929$	−3.56066	+	3.95452i	−0.116822	+	0.129743i	−0.798719	−	0.601705i	$-0.794488\pi$
$929$	−3.56066	+	3.95452i	−0.116822	+	0.129743i	0.681897	+	0.731448i	$0.261155\pi$
$930$	−1.59770	+	2.75260i	−0.0523908	+	0.0902614i
$931$	4.82383	+	3.50472i	0.158095	+	0.114863i
$932$	0.0663009	−	14.3519i	0.00217176	−	0.470111i
$933$	−16.8698	−	18.7358i	−0.552291	−	0.613382i
$934$	2.51108	+	0.822316i	0.0821650	+	0.0269070i
$935$	2.62379	−	30.2650i	0.0858071	−	0.989771i
$936$	7.97519	−	19.2718i	0.260677	−	0.629917i
$937$	48.9051	+	15.8902i	1.59766	+	0.519111i	0.966527	−	0.256563i	$-0.0825902\pi$
$937$	48.9051	+	15.8902i	1.59766	+	0.519111i	0.631133	+	0.775675i	$0.282590\pi$
$938$	19.6287	−	6.32767i	0.640901	−	0.206606i
$939$	−9.72514	−	21.8430i	−0.317368	−	0.712820i
$940$	4.19320	+	1.38390i	0.136767	+	0.0451379i
$941$	54.2515	−	17.6274i	1.76855	−	0.574636i	0.770519	−	0.637417i	$-0.219997\pi$
$941$	54.2515	−	17.6274i	1.76855	−	0.574636i	0.998027	+	0.0627808i	$0.0199969\pi$
$942$	−21.1881	+	2.17749i	−0.690345	+	0.0709464i
$943$	8.57090	+	3.81601i	0.279107	+	0.124266i
$944$	−14.5121	+	8.20071i	−0.472327	+	0.266910i
$945$	−11.7285	+	6.77143i	−0.381527	+	0.220274i
$946$	−4.90469	−	21.3929i	−0.159465	−	0.695544i
$947$	10.1968	+	5.88712i	0.331351	+	0.191306i	0.656441	−	0.754377i	$-0.272061\pi$
$947$	10.1968	+	5.88712i	0.331351	+	0.191306i	−0.325090	+	0.945683i	$0.605394\pi$
$948$	−33.1298	+	3.32742i	−1.07601	+	0.108070i
$949$	46.2271	−	36.0074i	1.50060	−	1.16885i
$950$	−12.4341	−	5.57047i	−0.403416	−	0.180730i
$951$	2.71840	−	12.7891i	0.0881502	−	0.414714i
$952$	−18.3720	−	42.0459i	−0.595440	−	1.36272i
$953$	−17.6045	−	1.85030i	−0.570264	−	0.0599372i	−0.184992	−	0.982740i	$-0.559226\pi$
$953$	−17.6045	−	1.85030i	−0.570264	−	0.0599372i	−0.385272	+	0.922803i	$0.625893\pi$
$954$	−20.5552	+	22.7231i	−0.665499	+	0.735687i
$955$	1.17302	+	5.51862i	0.0379580	+	0.178578i
$956$	−45.1366	−	33.1133i	−1.45982	−	1.07096i
$957$	12.1367	+	10.5335i	0.392323	+	0.340499i
$958$	−18.4959	−	20.6375i	−0.597576	−	0.666767i
$959$	14.4415	+	16.0389i	0.466341	+	0.517924i
$960$	−2.15592	+	9.49388i	−0.0695821	+	0.306414i
$961$	−22.3128	−	16.2112i	−0.719767	−	0.522941i
$962$	−1.64421	−	0.882228i	−0.0530116	−	0.0284442i
$963$	3.77279	+	11.6114i	0.121576	+	0.374173i
$964$	33.0727	+	30.0566i	1.06520	+	0.968057i
$965$	−34.3306	+	3.60829i	−1.10514	+	0.116155i
$966$	−14.8139	+	6.55462i	−0.476630	+	0.210891i
$967$	21.7902			0.700725			0.350363	−	0.936614i	$-0.386058\pi$
$967$	21.7902			0.700725			0.350363	+	0.936614i	$0.386058\pi$
$968$	−10.4845	−	29.2929i	−0.336986	−	0.941510i
$969$	−10.0374	−	17.3853i	−0.322447	−	0.558495i
$970$	−0.0648309	+	0.603414i	−0.00208159	+	0.0193745i
$971$	−4.64737	+	10.4382i	−0.149141	+	0.334977i	−0.972631	−	0.232354i	$-0.925357\pi$
$971$	−4.64737	+	10.4382i	−0.149141	+	0.334977i	0.823490	+	0.567331i	$0.192024\pi$
$972$	23.7967	+	21.6265i	0.763279	+	0.693671i
$973$	31.2439	+	6.64110i	1.00163	+	0.212904i
$974$	−25.4573	+	14.6195i	−0.815704	+	0.468438i
$975$	−10.9293	+	5.31075i	−0.350019	+	0.170080i
$976$	37.4147	+	4.28230i	1.19762	+	0.137073i
$977$	30.3754	+	33.7353i	0.971795	+	1.07929i	0.996827	+	0.0796007i	$0.0253645\pi$
$977$	30.3754	+	33.7353i	0.971795	+	1.07929i	−0.0250321	+	0.999687i	$0.507969\pi$
$978$	−7.17287	+	21.9035i	−0.229363	+	0.700398i
$979$	1.09838	−	5.67459i	0.0351045	−	0.181361i
$980$	4.86704	−	2.14006i	0.155472	−	0.0683617i
$981$	4.19106	+	19.7174i	0.133810	+	0.629528i
$982$	−16.3349	−	3.51154i	−0.521267	−	0.112058i
$983$	−14.9931	+	20.6362i	−0.478205	+	0.658193i	−0.978159	−	0.207859i	$-0.933350\pi$
$983$	−14.9931	+	20.6362i	−0.478205	+	0.658193i	0.499954	+	0.866052i	$0.333350\pi$
$984$	−0.543627	+	4.84882i	−0.0173302	+	0.154575i
$985$	−2.55508	+	12.0207i	−0.0814115	+	0.383011i
$986$	41.7949	−	30.2186i	1.33102	−	0.962355i
$987$	−3.09127	+	2.24594i	−0.0983963	+	0.0714891i
$988$	7.65935	−	18.6302i	0.243676	−	0.592706i
$989$			24.8679i			0.790752i
$990$	2.66974	+	11.6447i	0.0848498	+	0.370092i
$991$	−10.6592	−	6.15410i	−0.338601	−	0.195491i	0.321052	−	0.947062i	$-0.395964\pi$
$991$	−10.6592	−	6.15410i	−0.338601	−	0.195491i	−0.659653	+	0.751570i	$0.729297\pi$
$992$	9.91118	+	3.34737i	0.314680	+	0.106279i
$993$	−2.62510	+	1.90725i	−0.0833050	+	0.0605246i
$994$	28.3492	−	2.91343i	0.899181	−	0.0924084i
$995$	13.3749	+	12.0428i	0.424013	+	0.381783i
$996$	5.50996	−	4.91530i	0.174590	−	0.155747i
$997$	−9.41454	−	0.989508i	−0.298162	−	0.0313380i	−0.0457334	−	0.998954i	$-0.514562\pi$
$997$	−9.41454	−	0.989508i	−0.298162	−	0.0313380i	−0.252428	+	0.967616i	$0.581229\pi$
$998$	−39.3905	+	12.6982i	−1.24688	+	0.401955i
$999$	1.34068	−	1.20715i	0.0424172	−	0.0381926i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bm.a.35.16	✓	640
4.3	odd	2	inner	572.2.bm.a.35.54	yes	640
11.6	odd	10	inner	572.2.bm.a.347.1	yes	640
13.3	even	3	inner	572.2.bm.a.211.69	yes	640
44.39	even	10	inner	572.2.bm.a.347.69	yes	640
52.3	odd	6	inner	572.2.bm.a.211.1	yes	640
143.94	odd	30	inner	572.2.bm.a.523.54	yes	640
572.523	even	30	inner	572.2.bm.a.523.16	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bm.a.35.16	✓	640	1.1	even	1	trivial
572.2.bm.a.35.54	yes	640	4.3	odd	2	inner
572.2.bm.a.211.1	yes	640	52.3	odd	6	inner
572.2.bm.a.211.69	yes	640	13.3	even	3	inner
572.2.bm.a.347.1	yes	640	11.6	odd	10	inner
572.2.bm.a.347.69	yes	640	44.39	even	10	inner
572.2.bm.a.523.16	yes	640	572.523	even	30	inner
572.2.bm.a.523.54	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)

\(f(q)\)	\(=\)	\(q+(-1.14220 - 0.833894i) q^{2} +(0.971799 - 0.102140i) q^{3} +(0.609240 + 1.90495i) q^{4} +(-0.384851 - 1.18445i) q^{5} +(-1.19516 - 0.693713i) q^{6} +(-0.230566 + 2.19369i) q^{7} +(0.892651 - 2.68387i) q^{8} +(-2.00048 + 0.425215i) q^{9} +O(q^{10})\)	\(q+(-1.14220 - 0.833894i) q^{2} +(0.971799 - 0.102140i) q^{3} +(0.609240 + 1.90495i) q^{4} +(-0.384851 - 1.18445i) q^{5} +(-1.19516 - 0.693713i) q^{6} +(-0.230566 + 2.19369i) q^{7} +(0.892651 - 2.68387i) q^{8} +(-2.00048 + 0.425215i) q^{9} +(-0.548129 + 1.67380i) q^{10} +(-3.13508 + 1.08226i) q^{11} +(0.786631 + 1.78900i) q^{12} +(-3.46442 - 0.998911i) q^{13} +(2.09266 - 2.31337i) q^{14} +(-0.494978 - 1.11174i) q^{15} +(-3.25765 + 2.32114i) q^{16} +(-5.46554 - 4.92120i) q^{17} +(2.63953 + 1.18251i) q^{18} +(2.55187 + 1.13617i) q^{19} +(2.02185 - 1.45474i) q^{20} +2.15538i q^{21} +(4.48338 + 1.37817i) q^{22} +(-4.60242 - 2.65721i) q^{23} +(0.593346 - 2.69936i) q^{24} +(2.79027 - 2.02725i) q^{25} +(3.12407 + 4.02991i) q^{26} +(-4.68862 + 1.52342i) q^{27} +(-4.31934 + 0.897269i) q^{28} +(-2.01687 - 4.52996i) q^{29} +(-0.361709 + 1.68259i) q^{30} +(1.75878 + 0.571463i) q^{31} +(5.65648 + 0.0653300i) q^{32} +(-2.93612 + 1.37196i) q^{33} +(2.13898 + 10.1787i) q^{34} +(2.68705 - 0.571151i) q^{35} +(-2.02879 - 3.55175i) q^{36} +(-0.334305 + 0.148842i) q^{37} +(-1.96730 - 3.42572i) q^{38} +(-3.46875 - 0.616885i) q^{39} +(-3.52245 - 0.0244090i) q^{40} +(-1.75572 + 0.184534i) q^{41} +(1.79736 - 2.46187i) q^{42} +(-2.33966 - 4.05241i) q^{43} +(-3.97167 - 5.31280i) q^{44} +(1.27353 + 2.20582i) q^{45} +(3.04105 + 6.87299i) q^{46} +(1.04202 + 1.43421i) q^{47} +(-2.92870 + 2.58842i) q^{48} +(2.08791 + 0.443798i) q^{49} +(-4.87757 - 0.0112663i) q^{50} +(-5.81406 - 4.22417i) q^{51} +(-0.207788 - 7.20811i) q^{52} +(-3.27368 + 10.0753i) q^{53} +(6.62571 + 2.16976i) q^{54} +(2.48842 + 3.29683i) q^{55} +(5.68178 + 2.57701i) q^{56} +(2.59595 + 0.843476i) q^{57} +(-1.47384 + 6.85597i) q^{58} +(4.14439 + 0.435593i) q^{59} +(1.81624 - 1.62022i) q^{60} +(-6.99652 - 6.29970i) q^{61} +(-1.53234 - 2.11936i) q^{62} +(-0.471548 - 4.48648i) q^{63} +(-6.40635 - 4.79152i) q^{64} +(0.150124 + 4.48786i) q^{65} +(4.49771 + 0.881368i) q^{66} +(5.72553 + 3.30563i) q^{67} +(6.04480 - 13.4098i) q^{68} +(-4.74403 - 2.11218i) q^{69} +(-3.54543 - 1.58835i) q^{70} +(6.78920 + 6.11303i) q^{71} +(-0.644508 + 5.74861i) q^{72} +(-9.55244 + 13.1478i) q^{73} +(0.505962 + 0.108768i) q^{74} +(2.50452 - 2.25508i) q^{75} +(-0.609634 + 5.55337i) q^{76} +(-1.65130 - 7.12693i) q^{77} +(3.44758 + 3.59717i) q^{78} +(-5.26488 + 16.2036i) q^{79} +(4.00299 + 2.96523i) q^{80} +(1.20429 - 0.536182i) q^{81} +(2.15926 + 1.25331i) q^{82} +(-1.16753 - 3.59328i) q^{83} +(-4.10589 + 1.31314i) q^{84} +(-3.72549 + 8.36759i) q^{85} +(-0.706923 + 6.57970i) q^{86} +(-2.42268 - 4.19621i) q^{87} +(0.106120 + 9.38023i) q^{88} +(-0.871355 + 1.50923i) q^{89} +(0.384795 - 3.58149i) q^{90} +(2.99008 - 7.36955i) q^{91} +(2.25786 - 10.3862i) q^{92} +(1.76755 + 0.375705i) q^{93} +(0.00579093 - 2.50709i) q^{94} +(0.363641 - 3.45981i) q^{95} +(5.50363 - 0.514266i) q^{96} +(0.337044 - 0.0716409i) q^{97} +(-2.01472 - 2.24800i) q^{98} +(5.81147 - 3.49813i) 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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