LMFDB - Embedded newform 588.2.x.a.55.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.19
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.652439 + 1.25472i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.14865 + 1.63726i) q^{4} +(-0.0842420 + 0.174930i) q^{5} +(-0.0434247 - 1.41355i) q^{6} +(2.61856 + 0.378316i) q^{7} +(-2.80372 - 0.373018i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(0.652439 + 1.25472i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.14865 + 1.63726i) q^{4} +(-0.0842420 + 0.174930i) q^{5} +(-0.0434247 - 1.41355i) q^{6} +(2.61856 + 0.378316i) q^{7} +(-2.80372 - 0.373018i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.274451 + 0.00843125i) q^{10} +(1.26765 + 1.01092i) q^{11} +(1.74527 - 0.976739i) q^{12} +(3.76001 + 2.99851i) q^{13} +(1.23377 + 3.53239i) q^{14} +(0.151799 - 0.121055i) q^{15} +(-1.36122 - 3.76126i) q^{16} +(1.09312 + 0.249496i) q^{17} +(-0.574191 + 1.29240i) q^{18} -6.56771 q^{19} +(-0.189642 - 0.338859i) q^{20} +(-2.19510 - 1.47700i) q^{21} +(-0.441355 + 2.25011i) q^{22} +(-5.93966 + 1.35569i) q^{23} +(2.36422 + 1.55257i) q^{24} +(3.09395 + 3.87968i) q^{25} +(-1.30911 + 6.67411i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-3.62720 + 3.85271i) q^{28} +(-2.33762 + 10.2418i) q^{29} +(0.250930 + 0.111484i) q^{30} +4.97538 q^{31} +(3.83121 - 4.16195i) q^{32} +(-0.703494 - 1.46082i) q^{33} +(0.400143 + 1.53434i) q^{34} +(-0.286772 + 0.426196i) q^{35} +(-1.99623 + 0.122766i) q^{36} +(-1.73582 + 7.60512i) q^{37} +(-4.28503 - 8.24063i) q^{38} +(-2.08665 - 4.33297i) q^{39} +(0.301443 - 0.459032i) q^{40} +(1.79187 - 3.72085i) q^{41} +(0.421057 - 3.71789i) q^{42} +(-1.62030 - 3.36458i) q^{43} +(-3.11122 + 0.914285i) q^{44} +(-0.189290 + 0.0432042i) q^{45} +(-5.57627 - 6.56810i) q^{46} +(0.502093 - 0.629604i) q^{47} +(-0.405528 + 3.97939i) q^{48} +(6.71375 + 1.98129i) q^{49} +(-2.84931 + 6.41329i) q^{50} +(-0.876611 - 0.699074i) q^{51} +(-9.22826 + 2.71188i) q^{52} +(-3.09964 - 13.5804i) q^{53} +(1.07808 - 0.915283i) q^{54} +(-0.283630 + 0.136589i) q^{55} +(-7.20061 - 2.03747i) q^{56} +(5.91730 + 2.84962i) q^{57} +(-14.3757 + 3.74908i) q^{58} +(11.7511 - 5.65905i) q^{59} +(0.0238359 + 0.387584i) q^{60} +(9.88689 + 2.25662i) q^{61} +(3.24613 + 6.24271i) q^{62} +(1.33687 + 2.28315i) q^{63} +(7.72171 + 2.09168i) q^{64} +(-0.841281 + 0.405140i) q^{65} +(1.37393 - 1.83578i) q^{66} +9.60101i q^{67} +(-1.66409 + 1.50313i) q^{68} +(5.93966 + 1.35569i) q^{69} +(-0.721858 - 0.0817516i) q^{70} +(-10.0370 + 2.29089i) q^{71} +(-1.45645 - 2.42461i) q^{72} +(2.14613 - 1.71148i) q^{73} +(-10.6748 + 2.78391i) q^{74} +(-1.10422 - 4.83789i) q^{75} +(7.54397 - 10.7530i) q^{76} +(2.93698 + 3.12673i) q^{77} +(4.07526 - 5.44517i) q^{78} -13.3933i q^{79} +(0.772630 + 0.0787365i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(5.83770 - 0.179337i) q^{82} +(-3.09776 - 3.88447i) q^{83} +(4.93963 - 1.89739i) q^{84} +(-0.135731 + 0.170201i) q^{85} +(3.16446 - 4.22821i) q^{86} +(6.54987 - 8.21328i) q^{87} +(-3.17705 - 3.30719i) q^{88} +(-1.41782 + 1.13068i) q^{89} +(-0.177709 - 0.209318i) q^{90} +(8.71145 + 9.27427i) q^{91} +(4.60295 - 11.2820i) q^{92} +(-4.48266 - 2.15874i) q^{93} +(1.11756 + 0.219207i) q^{94} +(0.553276 - 1.14889i) q^{95} +(-5.25760 + 2.08749i) q^{96} -16.9791i q^{97} +(1.89435 + 9.71655i) q^{98} +1.62139i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

Coefficient data

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

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

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

$2$	0.652439	+	1.25472i	0.461344	+	0.887221i
$2$	0.652439	+	1.25472i	0.461344	+	0.887221i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	−1.14865	+	1.63726i	−0.574323	+	0.818629i
$5$	−0.0842420	+	0.174930i	−0.0376742	+	0.0782312i	−0.918956	−	0.394359i	$-0.870967\pi$
$5$	−0.0842420	+	0.174930i	−0.0376742	+	0.0782312i	0.881282	+	0.472590i	$0.156681\pi$
$6$	−0.0434247	−	1.41355i	−0.0177281	−	0.577078i
$7$	2.61856	+	0.378316i	0.989724	+	0.142990i
$7$	2.61856	+	0.378316i	0.989724	+	0.142990i
$8$	−2.80372	−	0.373018i	−0.991265	−	0.131882i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−0.274451	+	0.00843125i	−0.0867891	+	0.00266620i
$11$	1.26765	+	1.01092i	0.382212	+	0.304804i	0.795683	−	0.605714i	$-0.207112\pi$
$11$	1.26765	+	1.01092i	0.382212	+	0.304804i	−0.413471	+	0.910517i	$0.635684\pi$
$12$	1.74527	−	0.976739i	0.503817	−	0.281960i
$13$	3.76001	+	2.99851i	1.04284	+	0.831637i	0.986000	−	0.166746i	$-0.0533259\pi$
$13$	3.76001	+	2.99851i	1.04284	+	0.831637i	0.0568405	+	0.998383i	$0.481897\pi$
$14$	1.23377	+	3.53239i	0.329740	+	0.944072i
$15$	0.151799	−	0.121055i	0.0391943	−	0.0312564i
$16$	−1.36122	−	3.76126i	−0.340306	−	0.940315i
$17$	1.09312	+	0.249496i	0.265119	+	0.0605118i	0.353014	−	0.935618i	$-0.385157\pi$
$17$	1.09312	+	0.249496i	0.265119	+	0.0605118i	−0.0878947	+	0.996130i	$0.528014\pi$
$18$	−0.574191	+	1.29240i	−0.135338	+	0.304622i
$19$	−6.56771			−1.50673			−0.753367	−	0.657600i	$-0.771572\pi$
$19$	−6.56771			−1.50673			−0.753367	+	0.657600i	$0.771572\pi$
$20$	−0.189642	−	0.338859i	−0.0424052	−	0.0757711i
$21$	−2.19510	−	1.47700i	−0.479010	−	0.322309i
$22$	−0.441355	+	2.25011i	−0.0940971	+	0.479726i
$23$	−5.93966	+	1.35569i	−1.23850	+	0.282680i	−0.791120	−	0.611662i	$-0.790501\pi$
$23$	−5.93966	+	1.35569i	−1.23850	+	0.282680i	−0.447384	+	0.894342i	$0.647644\pi$
$24$	2.36422	+	1.55257i	0.482594	+	0.316917i
$25$	3.09395	+	3.87968i	0.618789	+	0.775937i
$26$	−1.30911	+	6.67411i	−0.256738	+	1.30890i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	−3.62720	+	3.85271i	−0.685477	+	0.728094i
$29$	−2.33762	+	10.2418i	−0.434085	+	1.90185i	−0.00204587	+	0.999998i	$0.500651\pi$
$29$	−2.33762	+	10.2418i	−0.434085	+	1.90185i	−0.432040	+	0.901855i	$0.642206\pi$
$30$	0.250930	+	0.111484i	0.0458134	+	0.0203540i
$31$	4.97538			0.893605			0.446803	−	0.894633i	$-0.352563\pi$
$31$	4.97538			0.893605			0.446803	+	0.894633i	$0.352563\pi$
$32$	3.83121	−	4.16195i	0.677269	−	0.735736i
$33$	−0.703494	−	1.46082i	−0.122463	−	0.254296i
$34$	0.400143	+	1.53434i	0.0686240	+	0.263136i
$35$	−0.286772	+	0.426196i	−0.0484733	+	0.0720403i
$36$	−1.99623	+	0.122766i	−0.332705	+	0.0204610i
$37$	−1.73582	+	7.60512i	−0.285367	+	1.25027i	0.605439	+	0.795891i	$0.292997\pi$
$37$	−1.73582	+	7.60512i	−0.285367	+	1.25027i	−0.890806	+	0.454383i	$0.849860\pi$
$38$	−4.28503	−	8.24063i	−0.695123	−	1.33681i
$39$	−2.08665	−	4.33297i	−0.334132	−	0.693831i
$40$	0.301443	−	0.459032i	0.0476624	−	0.0725793i
$41$	1.79187	−	3.72085i	0.279842	−	0.581099i	−0.712913	−	0.701253i	$-0.752625\pi$
$41$	1.79187	−	3.72085i	0.279842	−	0.581099i	0.992755	+	0.120154i	$0.0383388\pi$
$42$	0.421057	−	3.71789i	0.0649706	−	0.573683i
$43$	−1.62030	−	3.36458i	−0.247093	−	0.513094i	0.740125	−	0.672469i	$-0.234766\pi$
$43$	−1.62030	−	3.36458i	−0.247093	−	0.513094i	−0.987218	+	0.159375i	$0.949052\pi$
$44$	−3.11122	+	0.914285i	−0.469034	+	0.137834i
$45$	−0.189290	+	0.0432042i	−0.0282177	+	0.00644050i
$46$	−5.57627	−	6.56810i	−0.822177	−	0.968414i
$47$	0.502093	−	0.629604i	0.0732378	−	0.0918372i	−0.743863	−	0.668332i	$-0.767009\pi$
$47$	0.502093	−	0.629604i	0.0732378	−	0.0918372i	0.817101	+	0.576495i	$0.195580\pi$
$48$	−0.405528	+	3.97939i	−0.0585330	+	0.574376i
$49$	6.71375	+	1.98129i	0.959108	+	0.283041i
$50$	−2.84931	+	6.41329i	−0.402953	+	0.906977i
$51$	−0.876611	−	0.699074i	−0.122750	−	0.0978899i
$52$	−9.22826	+	2.71188i	−1.27973	+	0.376071i
$53$	−3.09964	−	13.5804i	−0.425769	−	1.86542i	−0.496681	−	0.867933i	$-0.665448\pi$
$53$	−3.09964	−	13.5804i	−0.425769	−	1.86542i	0.0709122	−	0.997483i	$-0.477409\pi$
$54$	1.07808	−	0.915283i	0.146708	−	0.124554i
$55$	−0.283630	+	0.136589i	−0.0382446	+	0.0184176i
$56$	−7.20061	−	2.03747i	−0.962221	−	0.272268i
$57$	5.91730	+	2.84962i	0.783765	+	0.377441i
$58$	−14.3757	+	3.74908i	−1.88763	+	0.492279i
$59$	11.7511	−	5.65905i	1.52987	−	0.736745i	0.535681	−	0.844420i	$-0.320055\pi$
$59$	11.7511	−	5.65905i	1.52987	−	0.736745i	0.994186	+	0.107675i	$0.0343406\pi$
$60$	0.0238359	+	0.387584i	0.00307721	+	0.0500368i
$61$	9.88689	+	2.25662i	1.26589	+	0.288930i	0.802193	−	0.597065i	$-0.203667\pi$
$61$	9.88689	+	2.25662i	1.26589	+	0.288930i	0.463694	+	0.885995i	$0.346524\pi$
$62$	3.24613	+	6.24271i	0.412260	+	0.792825i
$63$	1.33687	+	2.28315i	0.168430	+	0.287650i
$64$	7.72171	+	2.09168i	0.965214	+	0.261460i
$65$	−0.841281	+	0.405140i	−0.104348	+	0.0502514i
$66$	1.37393	−	1.83578i	0.169120	−	0.225970i
$67$			9.60101i			1.17295i	0.809967	+	0.586475i	$0.199485\pi$
$67$			9.60101i			1.17295i	−0.809967	+	0.586475i	$0.800515\pi$
$68$	−1.66409	+	1.50313i	−0.201801	+	0.182281i
$69$	5.93966	+	1.35569i	0.715050	+	0.163206i
$70$	−0.721858	−	0.0817516i	−0.0862785	−	0.00977119i
$71$	−10.0370	+	2.29089i	−1.19118	+	0.271878i	−0.771759	−	0.635915i	$-0.780623\pi$
$71$	−10.0370	+	2.29089i	−1.19118	+	0.271878i	−0.419417	+	0.907794i	$0.637766\pi$
$72$	−1.45645	−	2.42461i	−0.171645	−	0.285743i
$73$	2.14613	−	1.71148i	0.251186	−	0.200314i	−0.489800	−	0.871835i	$-0.662930\pi$
$73$	2.14613	−	1.71148i	0.251186	−	0.200314i	0.740986	+	0.671521i	$0.234359\pi$
$74$	−10.6748	+	2.78391i	−1.24092	+	0.323623i
$75$	−1.10422	−	4.83789i	−0.127504	−	0.558631i
$76$	7.54397	−	10.7530i	0.865353	−	1.23346i
$77$	2.93698	+	3.12673i	0.334700	+	0.356324i
$78$	4.07526	−	5.44517i	0.461432	−	0.616544i
$79$		−	13.3933i		−	1.50687i	−0.657524	−	0.753434i	$-0.728396\pi$
$79$		−	13.3933i		−	1.50687i	0.657524	−	0.753434i	$-0.271604\pi$
$80$	0.772630	+	0.0787365i	0.0863827	+	0.00880301i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	5.83770	−	0.179337i	0.644667	−	0.0198044i
$83$	−3.09776	−	3.88447i	−0.340024	−	0.426376i	0.582192	−	0.813051i	$-0.302195\pi$
$83$	−3.09776	−	3.88447i	−0.340024	−	0.426376i	−0.922216	+	0.386675i	$0.873624\pi$
$84$	4.93963	−	1.89739i	0.538958	−	0.207022i
$85$	−0.135731	+	0.170201i	−0.0147221	+	0.0184609i
$86$	3.16446	−	4.22821i	0.341233	−	0.455939i
$87$	6.54987	−	8.21328i	0.702220	−	0.880556i
$88$	−3.17705	−	3.30719i	−0.338675	−	0.352548i
$89$	−1.41782	+	1.13068i	−0.150289	+	0.119851i	−0.695748	−	0.718286i	$-0.744927\pi$
$89$	−1.41782	+	1.13068i	−0.150289	+	0.119851i	0.545459	+	0.838138i	$0.316355\pi$
$90$	−0.177709	−	0.209318i	−0.0187322	−	0.0220640i
$91$	8.71145	+	9.27427i	0.913208	+	0.972208i
$92$	4.60295	−	11.2820i	0.479891	−	1.17622i
$93$	−4.48266	−	2.15874i	−0.464831	−	0.223851i
$94$	1.11756	+	0.219207i	0.115268	+	0.0226095i
$95$	0.553276	−	1.14889i	0.0567650	−	0.117874i
$96$	−5.25760	+	2.08749i	−0.536602	+	0.213053i
$97$		−	16.9791i		−	1.72397i	−0.506933	−	0.861985i	$-0.669221\pi$
$97$		−	16.9791i		−	1.72397i	0.506933	−	0.861985i	$-0.330779\pi$
$98$	1.89435	+	9.71655i	0.191358	+	0.981520i
$99$			1.62139i			0.162956i
$100$	−9.90589	+	0.609201i	−0.990589	+	0.0609201i
$101$	−3.12183	+	6.48255i	−0.310634	+	0.645038i	−0.996582	−	0.0826127i	$-0.973674\pi$
$101$	−3.12183	+	6.48255i	−0.310634	+	0.645038i	0.685948	+	0.727651i	$0.259388\pi$
$102$	0.305207	−	1.55600i	0.0302200	−	0.154067i
$103$	12.5895	+	6.06280i	1.24048	+	0.597386i	0.934945	−	0.354794i	$-0.115449\pi$
$103$	12.5895	+	6.06280i	1.24048	+	0.597386i	0.305540	+	0.952179i	$0.401163\pi$
$104$	−9.42354	−	9.80955i	−0.924054	−	0.961905i
$105$	0.443292	−	0.259564i	0.0432609	−	0.0253308i
$106$	15.0173	−	12.7496i	1.45861	−	1.23835i
$107$	−3.78731	+	3.02028i	−0.366133	+	0.291981i	−0.789223	−	0.614106i	$-0.789517\pi$
$107$	−3.78731	+	3.02028i	−0.366133	+	0.291981i	0.423091	+	0.906087i	$0.360945\pi$
$108$	1.85181	+	0.755523i	0.178190	+	0.0727002i
$109$	7.69923	−	9.65453i	0.737453	−	0.924736i	−0.261731	−	0.965141i	$-0.584293\pi$
$109$	7.69923	−	9.65453i	0.737453	−	0.924736i	0.999183	+	0.0404046i	$0.0128647\pi$
$110$	−0.356432	−	0.266760i	−0.0339845	−	0.0254346i
$111$	4.86366	−	6.09883i	0.461638	−	0.578876i
$112$	−2.14151	−	10.3641i	−0.202353	−	0.979313i
$113$	−0.602171	−	0.755098i	−0.0566474	−	0.0710336i	0.752701	−	0.658363i	$-0.228751\pi$
$113$	−0.602171	−	0.755098i	−0.0566474	−	0.0710336i	−0.809348	+	0.587329i	$0.800179\pi$
$114$	0.285201	+	9.28376i	0.0267115	+	0.869504i
$115$	0.263217	−	1.15323i	0.0245452	−	0.107539i
$116$	−14.0833	−	15.5915i	−1.30761	−	1.44763i
$117$			4.80924i			0.444614i
$118$	14.7674	+	11.0522i	1.35945	+	1.01744i
$119$	2.76800	+	1.06687i	0.253743	+	0.0977994i
$120$	−0.470757	+	0.282782i	−0.0429741	+	0.0258144i
$121$	−1.86274	−	8.16122i	−0.169340	−	0.741929i
$122$	3.61917	+	13.8776i	0.327664	+	1.25642i
$123$	−3.22883	+	2.57491i	−0.291134	+	0.232171i
$124$	−5.71495	+	8.14598i	−0.513218	+	0.731531i
$125$	−1.88576	+	0.430413i	−0.168668	+	0.0384973i
$126$	−1.99249	+	3.16701i	−0.177505	+	0.282140i
$127$	15.9501	+	3.64051i	1.41535	+	0.323043i	0.860729	−	0.509063i	$-0.170008\pi$
$127$	15.9501	+	3.64051i	1.41535	+	0.323043i	0.554616	+	0.832106i	$0.312865\pi$
$128$	2.41348	+	11.0533i	0.213323	+	0.976982i
$129$			3.73440i			0.328796i
$130$	−1.05722	−	0.791244i	−0.0927245	−	0.0693967i
$131$	−2.85813	+	1.37640i	−0.249716	+	0.120257i	−0.554555	−	0.832147i	$-0.687112\pi$
$131$	−2.85813	+	1.37640i	−0.249716	+	0.120257i	0.304839	+	0.952404i	$0.401397\pi$
$132$	3.19981	+	0.526165i	0.278507	+	0.0457968i
$133$	−17.1980	−	2.48467i	−1.49125	−	0.215448i
$134$	−12.0466	+	6.26407i	−1.04067	+	0.541134i
$135$	0.189290	+	0.0432042i	0.0162915	+	0.00371843i
$136$	−2.97173	−	1.10727i	−0.254823	−	0.0949477i
$137$	11.7179	−	5.64305i	1.00113	−	0.482119i	0.139808	−	0.990179i	$-0.455352\pi$
$137$	11.7179	−	5.64305i	1.00113	−	0.482119i	0.861322	+	0.508060i	$0.169637\pi$
$138$	2.17426	+	8.33711i	0.185085	+	0.709702i
$139$	−7.62414	−	3.67159i	−0.646671	−	0.311420i	0.0816454	−	0.996661i	$-0.473983\pi$
$139$	−7.62414	−	3.67159i	−0.646671	−	0.311420i	−0.728316	+	0.685241i	$0.759697\pi$
$140$	−0.368393	−	0.959068i	−0.0311349	−	0.0810560i
$141$	−0.725545	+	0.349404i	−0.0611019	+	0.0294251i
$142$	−9.42297	−	11.0990i	−0.790758	−	0.931407i
$143$	1.73514	+	7.60214i	0.145100	+	0.635723i
$144$	2.09196	−	3.40935i	0.174330	−	0.284113i
$145$	−1.59467	−	1.27171i	−0.132430	−	0.105610i
$146$	3.54766	+	1.57616i	0.293606	+	0.130444i
$147$	−5.18923	−	4.69807i	−0.428001	−	0.387490i
$148$	−10.4577	−	11.5776i	−0.859618	−	0.951671i
$149$	−5.26130	+	6.59746i	−0.431022	+	0.540485i	−0.949152	−	0.314817i	$-0.898057\pi$
$149$	−5.26130	+	6.59746i	−0.431022	+	0.540485i	0.518130	+	0.855302i	$0.326628\pi$
$150$	5.34976	−	4.54191i	0.436806	−	0.370845i
$151$	2.77193	−	0.632674i	0.225576	−	0.0514863i	−0.108239	−	0.994125i	$-0.534521\pi$
$151$	2.77193	−	0.632674i	0.225576	−	0.0514863i	0.333815	+	0.942639i	$0.391664\pi$
$152$	18.4140	+	2.44988i	1.49357	+	0.198711i
$153$	0.486482	+	1.01019i	0.0393298	+	0.0816691i
$154$	−2.00697	+	5.72509i	−0.161726	+	0.461341i
$155$	−0.419136	+	0.870345i	−0.0336658	+	0.0699078i
$156$	9.49102	+	1.56067i	0.759890	+	0.124954i
$157$	−3.64906	−	7.57735i	−0.291227	−	0.604738i	0.703102	−	0.711089i	$-0.251798\pi$
$157$	−3.64906	−	7.57735i	−0.291227	−	0.604738i	−0.994329	+	0.106351i	$0.966083\pi$
$158$	16.8049	−	8.73834i	1.33693	−	0.695185i
$159$	−3.09964	+	13.5804i	−0.245818	+	1.07700i
$160$	0.405302	+	1.02081i	0.0320419	+	0.0807018i
$161$	−16.0662	+	1.30289i	−1.26620	+	0.102682i
$162$	−1.36844	+	0.356880i	−0.107515	+	0.0280391i
$163$	5.89332	+	12.2376i	0.461601	+	0.958523i	0.993724	+	0.111857i	$0.0356798\pi$
$163$	5.89332	+	12.2376i	0.461601	+	0.958523i	−0.532124	+	0.846667i	$0.678606\pi$
$164$	4.03376	+	7.20768i	0.314984	+	0.562825i
$165$	0.314805			0.0245076
$166$	2.85282	−	6.42121i	0.221422	−	0.498383i
$167$	4.72036	−	20.6812i	0.365272	−	1.60036i	−0.374315	−	0.927302i	$-0.622122\pi$
$167$	4.72036	−	20.6812i	0.365272	−	1.60036i	0.739587	−	0.673061i	$-0.235021\pi$
$168$	5.60350	+	4.95992i	0.432319	+	0.382666i
$169$	2.25387	+	9.87483i	0.173374	+	0.759602i
$170$	−0.302111	−	0.0592583i	−0.0231708	−	0.00454490i
$171$	−4.09490	−	5.13484i	−0.313145	−	0.392671i
$172$	7.36984	+	1.21187i	0.561945	+	0.0924042i
$173$	−15.6096	+	3.56278i	−1.18677	+	0.270873i	−0.769944	−	0.638112i	$-0.779716\pi$
$173$	−15.6096	+	3.56278i	−1.18677	+	0.270873i	−0.416829	+	0.908985i	$0.636859\pi$
$174$	14.5788	+	2.85959i	1.10521	+	0.216785i
$175$	6.63395	+	11.3297i	0.501479	+	0.856444i
$176$	2.07677	−	6.14406i	0.156542	−	0.463126i
$177$	−13.0428			−0.980355
$178$	−2.34372	−	1.04127i	−0.175669	−	0.0780467i
$179$	−12.6591	−	2.88935i	−0.946182	−	0.215960i	−0.278525	−	0.960429i	$-0.589846\pi$
$179$	−12.6591	−	2.88935i	−0.946182	−	0.215960i	−0.667657	+	0.744469i	$0.732703\pi$
$180$	0.146691	−	0.359543i	0.0109337	−	0.0267987i
$181$	2.76784	−	2.20728i	0.205732	−	0.164066i	−0.515204	−	0.857068i	$-0.672284\pi$
$181$	2.76784	−	2.20728i	0.205732	−	0.164066i	0.720936	+	0.693002i	$0.243712\pi$
$182$	−5.95292	+	16.9813i	−0.441260	+	1.25874i
$183$	−7.92867	−	6.32290i	−0.586104	−	0.467402i
$184$	17.1588	−	1.58537i	1.26497	−	0.116875i
$185$	−1.18414	−	0.944318i	−0.0870595	−	0.0694276i
$186$	−0.216055	−	7.03294i	−0.0158419	−	0.515680i
$187$	1.13347	+	1.42133i	0.0828875	+	0.103938i
$188$	0.454098	+	1.54525i	0.0331185	+	0.112699i
$189$	−0.213854	−	2.63709i	−0.0155556	−	0.191820i
$190$	1.80252	−	0.0553740i	0.130768	−	0.00401725i
$191$	2.84880	−	5.91559i	0.206132	−	0.428037i	−0.772115	−	0.635483i	$-0.780801\pi$
$191$	2.84880	−	5.91559i	0.206132	−	0.428037i	0.978246	+	0.207446i	$0.0665152\pi$
$192$	−6.04948	−	5.23487i	−0.436583	−	0.377794i
$193$	−5.13759	−	2.47413i	−0.369812	−	0.178092i	0.239742	−	0.970837i	$-0.422937\pi$
$193$	−5.13759	−	2.47413i	−0.369812	−	0.178092i	−0.609554	+	0.792745i	$0.708651\pi$
$194$	21.3041	−	11.0779i	1.52954	−	0.795344i
$195$	0.933752			0.0668674
$196$	−10.9556	+	8.71634i	−0.782544	+	0.622596i
$197$	16.7730			1.19503			0.597514	−	0.801859i	$-0.296155\pi$
$197$	16.7730			1.19503			0.597514	+	0.801859i	$0.296155\pi$
$198$	−2.03439	+	1.05786i	−0.144578	+	0.0751787i
$199$	8.51555	+	4.10087i	0.603651	+	0.290703i	0.710639	−	0.703557i	$-0.248406\pi$
$199$	8.51555	+	4.10087i	0.603651	+	0.290703i	−0.106987	+	0.994260i	$0.534120\pi$
$200$	−7.22737	−	12.0317i	−0.511052	−	0.850767i
$201$	4.16572	−	8.65021i	0.293827	−	0.610139i
$202$	−10.1706	+	0.312445i	−0.715601	+	0.0219835i
$203$	−9.99585	+	25.9344i	−0.701571	+	1.82024i
$204$	2.15148	−	0.632249i	0.150634	−	0.0442663i
$205$	0.499938	+	0.626903i	0.0349172	+	0.0437848i
$206$	0.606788	+	19.7520i	0.0422769	+	1.37618i
$207$	−4.76323	−	3.79855i	−0.331068	−	0.264018i
$208$	6.15995	−	18.2240i	0.427116	−	1.26361i
$209$	−8.32557	−	6.63942i	−0.575892	−	0.459258i
$210$	0.614901	+	0.386858i	0.0424322	+	0.0266957i
$211$	−9.35137	+	7.45747i	−0.643775	+	0.513393i	−0.890083	−	0.455798i	$-0.849354\pi$
$211$	−9.35137	+	7.45747i	−0.643775	+	0.513393i	0.246308	+	0.969192i	$0.420782\pi$
$212$	25.7951	+	10.5242i	1.77161	+	0.722804i
$213$	10.0370	+	2.29089i	0.687726	+	0.156969i
$214$	−6.26059	−	2.78146i	−0.427965	−	0.190137i
$215$	0.725064			0.0494490
$216$	0.260221	+	2.81643i	0.0177058	+	0.191634i
$217$	13.0284	+	1.88227i	0.884422	+	0.127777i
$218$	17.1370	+	3.36139i	1.16067	+	0.227662i
$219$	−2.67619	+	0.610822i	−0.180840	+	0.0412755i
$220$	0.102159	−	0.621267i	0.00688756	−	0.0418858i
$221$	3.36201	+	4.21583i	0.226153	+	0.283587i
$222$	10.8256	+	2.12341i	0.726565	+	0.142514i
$223$	0.649689	+	2.84647i	0.0435064	+	0.190614i	0.992011	−	0.126148i	$-0.0402615\pi$
$223$	0.649689	+	2.84647i	0.0435064	+	0.190614i	−0.948505	+	0.316762i	$0.897404\pi$
$224$	11.6068	−	9.44892i	0.775512	−	0.631332i
$225$	−1.10422	+	4.83789i	−0.0736144	+	0.322526i
$226$	0.554557	−	1.24821i	0.0368886	−	0.0830298i
$227$	11.5849			0.768918			0.384459	−	0.923142i	$-0.374388\pi$
$227$	11.5849			0.768918			0.384459	+	0.923142i	$0.374388\pi$
$228$	−11.4624	+	6.41494i	−0.759119	+	0.424839i
$229$	−2.59462	−	5.38779i	−0.171458	−	0.356035i	0.797478	−	0.603348i	$-0.206167\pi$
$229$	−2.59462	−	5.38779i	−0.171458	−	0.356035i	−0.968936	+	0.247312i	$0.920453\pi$
$230$	1.61872	−	0.422149i	0.106735	−	0.0278357i
$231$	−1.28949	−	4.09140i	−0.0848424	−	0.269194i
$232$	10.3744	−	27.8432i	0.681114	−	1.82799i
$233$	1.67477	−	7.33765i	0.109718	−	0.480706i	−0.889977	−	0.456005i	$-0.849280\pi$
$233$	1.67477	−	7.33765i	0.109718	−	0.480706i	0.999695	−	0.0247002i	$-0.00786311\pi$
$234$	−6.03425	+	3.13774i	−0.394471	+	0.205120i
$235$	0.0678396	+	0.140870i	0.00442537	+	0.00918937i
$236$	−4.23258	+	25.7399i	−0.275517	+	1.67552i
$237$	−5.81115	+	12.0670i	−0.377475	+	0.783834i
$238$	0.467336	+	4.16914i	0.0302929	+	0.270245i
$239$	−1.93460	−	4.01723i	−0.125139	−	0.259853i	0.828982	−	0.559275i	$-0.188920\pi$
$239$	−1.93460	−	4.01723i	−0.125139	−	0.259853i	−0.954121	+	0.299422i	$0.903206\pi$
$240$	−0.661953	−	0.406171i	−0.0427289	−	0.0262182i
$241$	−11.9723	+	2.73261i	−0.771206	+	0.176023i	−0.589979	−	0.807419i	$-0.700864\pi$
$241$	−11.9723	+	2.73261i	−0.771206	+	0.176023i	−0.181227	+	0.983441i	$0.558007\pi$
$242$	9.02472	−	7.66192i	0.580131	−	0.492527i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	−15.0512	+	13.5953i	−0.963555	+	0.870352i
$245$	−0.912167	+	1.00753i	−0.0582762	+	0.0643688i
$246$	−5.33740	−	2.37131i	−0.340300	−	0.151189i
$247$	−24.6947	−	19.6933i	−1.57128	−	1.25306i
$248$	−13.9496	−	1.85591i	−0.885800	−	0.117850i
$249$	1.10558	+	4.84386i	0.0700632	+	0.306967i
$250$	−1.77039	−	2.08529i	−0.111970	−	0.131885i
$251$	0.110904	−	0.0534085i	0.00700019	−	0.00337111i	−0.430380	−	0.902648i	$-0.641621\pi$
$251$	0.110904	−	0.0534085i	0.00700019	−	0.00337111i	0.437381	+	0.899277i	$0.355906\pi$
$252$	−5.27370	−	0.433736i	−0.332212	−	0.0273228i
$253$	−8.89991	−	4.28597i	−0.559533	−	0.269457i
$254$	5.83867	+	22.3882i	0.366350	+	1.40476i
$255$	0.196137	−	0.0944544i	0.0122825	−	0.00591496i
$256$	−12.2941	+	10.2398i	−0.768384	+	0.639990i
$257$	−5.41363	−	1.23563i	−0.337693	−	0.0770762i	0.0503118	−	0.998734i	$-0.483978\pi$
$257$	−5.41363	−	1.23563i	−0.337693	−	0.0770762i	−0.388005	+	0.921657i	$0.626836\pi$
$258$	−4.68563	+	2.43647i	−0.291715	+	0.151688i
$259$	−7.42250	+	19.2578i	−0.461211	+	1.19662i
$260$	0.303016	−	1.84276i	0.0187923	−	0.114283i
$261$	−9.46484	+	4.55803i	−0.585859	+	0.282135i
$262$	−3.59175	−	2.68813i	−0.221899	−	0.166073i
$263$			8.95783i			0.552363i	0.961105	+	0.276182i	$0.0890691\pi$
$263$			8.95783i			0.552363i	−0.961105	+	0.276182i	$0.910931\pi$
$264$	1.42749	+	4.35815i	0.0878559	+	0.268226i
$265$	2.63675	+	0.601821i	0.161974	+	0.0369695i
$266$	−8.10306	−	23.1997i	−0.496830	−	1.42247i
$267$	1.76799	−	0.403533i	0.108200	−	0.0246958i
$268$	−15.7193	−	11.0282i	−0.960211	−	0.673652i
$269$	12.2504	−	9.76934i	0.746918	−	0.595647i	−0.174301	−	0.984692i	$-0.555766\pi$
$269$	12.2504	−	9.76934i	0.746918	−	0.595647i	0.921219	+	0.389045i	$0.127195\pi$
$270$	0.0692910	+	0.265694i	0.00421692	+	0.0161696i
$271$	−3.68350	−	16.1385i	−0.223757	−	0.980341i	−0.954622	−	0.297820i	$-0.903741\pi$
$271$	−3.68350	−	16.1385i	−0.223757	−	0.980341i	0.730866	−	0.682521i	$-0.239117\pi$
$272$	−0.549555	−	4.45111i	−0.0333216	−	0.269888i
$273$	−3.82479	−	12.1356i	−0.231487	−	0.734479i
$274$	14.7257	+	11.0210i	0.889611	+	0.665801i
$275$			8.04582i			0.485181i
$276$	−9.04217	+	8.16754i	−0.544275	+	0.491628i
$277$	0.168400	−	0.737810i	0.0101182	−	0.0443307i	−0.969617	−	0.244629i	$-0.921334\pi$
$277$	0.168400	−	0.737810i	0.0101182	−	0.0443307i	0.979735	+	0.200298i	$0.0641911\pi$
$278$	−0.367467	−	11.9616i	−0.0220392	−	0.717412i
$279$	3.10210	+	3.88991i	0.185718	+	0.232883i
$280$	0.963008	−	1.08796i	0.0575507	−	0.0650183i
$281$	−6.64513	+	8.33272i	−0.396415	+	0.497089i	−0.939481	−	0.342601i	$-0.888692\pi$
$281$	−6.64513	+	8.33272i	−0.396415	+	0.497089i	0.543066	+	0.839690i	$0.317263\pi$
$282$	−0.911778	−	0.682391i	−0.0542956	−	0.0406358i
$283$	−4.43929	+	5.56669i	−0.263888	+	0.330906i	−0.896068	−	0.443916i	$-0.853589\pi$
$283$	−4.43929	+	5.56669i	−0.263888	+	0.330906i	0.632180	+	0.774822i	$0.282160\pi$
$284$	7.77822	−	19.0646i	0.461553	−	1.13128i
$285$	−0.996970	+	0.795057i	−0.0590554	+	0.0470951i
$286$	−8.40649	+	7.13705i	−0.497086	+	0.422023i
$287$	6.09977	−	9.06538i	0.360058	−	0.535113i
$288$	5.64266	+	0.400429i	0.332497	+	0.0235955i
$289$	−14.1838	−	6.83057i	−0.834342	−	0.401798i
$290$	0.555212	−	2.83058i	0.0326032	−	0.166217i
$291$	−7.36697	+	15.2977i	−0.431860	+	0.896766i
$292$	0.336993	+	5.47966i	0.0197210	+	0.320673i
$293$		−	3.51162i		−	0.205151i	−0.994725	−	0.102576i	$-0.967292\pi$
$293$		−	3.51162i		−	0.205151i	0.994725	−	0.102576i	$-0.0327083\pi$
$294$	2.50910	−	9.57624i	0.146334	−	0.558498i
$295$			2.53236i			0.147440i
$296$	7.70361	−	20.6752i	0.447763	−	1.20172i
$297$	0.703494	−	1.46082i	0.0408209	−	0.0847654i
$298$	−11.7106	−	2.29702i	−0.678379	−	0.133063i
$299$	−26.3982	−	12.7127i	−1.52665	−	0.735196i
$300$	9.18922	+	3.74913i	0.530540	+	0.216456i
$301$	−2.96998	−	9.42336i	−0.171187	−	0.543153i
$302$	2.60234	+	3.06521i	0.149748	+	0.176383i
$303$	5.62535	−	4.48607i	0.323168	−	0.257718i
$304$	8.94012	+	24.7028i	0.512751	+	1.41681i
$305$	−1.22764	+	1.53941i	−0.0702946	+	0.0881466i
$306$	−0.950107	+	1.26949i	−0.0543140	+	0.0725717i
$307$	5.61522	−	7.04126i	0.320478	−	0.401866i	−0.595331	−	0.803480i	$-0.702979\pi$
$307$	5.61522	−	7.04126i	0.320478	−	0.401866i	0.915809	+	0.401614i	$0.131551\pi$
$308$	−8.49282	+	1.21709i	−0.483923	+	0.0693501i
$309$	−8.71223	−	10.9248i	−0.495622	−	0.621490i
$310$	−1.36550	+	0.0419487i	−0.0775552	+	0.00238253i
$311$	3.93664	−	17.2476i	0.223227	−	0.978020i	−0.731805	−	0.681515i	$-0.761322\pi$
$311$	3.93664	−	17.2476i	0.223227	−	0.978020i	0.955031	−	0.296505i	$-0.0958212\pi$
$312$	4.23411	+	12.9268i	0.239709	+	0.731837i
$313$			21.7956i			1.23196i	0.787761	+	0.615981i	$0.211240\pi$
$313$			21.7956i			1.23196i	−0.787761	+	0.615981i	$0.788760\pi$
$314$	7.12666	−	9.52231i	0.402181	−	0.537375i
$315$	−0.512013	+	0.0415215i	−0.0288486	+	0.00233947i
$316$	21.9283	+	15.3842i	1.23357	+	0.865429i
$317$	0.613582	+	2.68828i	0.0344622	+	0.150989i	0.989232	−	0.146358i	$-0.0467553\pi$
$317$	0.613582	+	2.68828i	0.0344622	+	0.150989i	−0.954769	+	0.297347i	$0.903898\pi$
$318$	−19.0620	+	4.97122i	−1.06894	+	0.278772i
$319$	−13.3169	+	10.6199i	−0.745604	+	0.594599i
$320$	−1.01639	+	1.17455i	−0.0568180	+	0.0656596i
$321$	4.72270	−	1.07792i	0.263595	−	0.0601639i
$322$	−12.1170	−	19.3086i	−0.675254	−	1.07603i
$323$	−7.17926	−	1.63862i	−0.399465	−	0.0911752i
$324$	−1.34061	−	1.48417i	−0.0744783	−	0.0824540i
$325$			23.8649i			1.32379i
$326$	−11.5097	+	15.3788i	−0.637466	+	0.851751i
$327$	−11.1257	+	5.35786i	−0.615253	+	0.296290i
$328$	−6.41184	+	9.76382i	−0.354034	+	0.539117i
$329$	1.55295	−	1.45871i	0.0856170	−	0.0804213i
$330$	0.205391	+	0.394993i	0.0113064	+	0.0217436i
$331$	−18.5599	−	4.23618i	−1.02014	−	0.232841i	−0.320436	−	0.947270i	$-0.603830\pi$
$331$	−18.5599	−	4.23618i	−1.02014	−	0.232841i	−0.699708	+	0.714429i	$0.746687\pi$
$332$	9.91812	−	0.609953i	0.544327	−	0.0334755i
$333$	−7.02819	+	3.38460i	−0.385142	+	0.185475i
$334$	29.0289	−	7.57052i	1.58839	−	0.414241i
$335$	−1.67951	−	0.808808i	−0.0917613	−	0.0441899i
$336$	−2.56737	+	10.2669i	−0.140061	+	0.560104i
$337$	13.4093	−	6.45757i	0.730450	−	0.351766i	−0.0314109	−	0.999507i	$-0.510000\pi$
$337$	13.4093	−	6.45757i	0.730450	−	0.351766i	0.761861	+	0.647740i	$0.224286\pi$
$338$	−10.9196	+	9.27070i	−0.593950	+	0.504260i
$339$	0.214912	+	0.941592i	0.0116724	+	0.0511402i
$340$	−0.122756	−	0.417727i	−0.00665739	−	0.0226544i
$341$	6.30706	+	5.02971i	0.341546	+	0.272374i
$342$	3.77111	−	8.48812i	0.203919	−	0.458985i
$343$	16.8308	+	7.72806i	0.908780	+	0.417276i
$344$	3.28781	+	10.0378i	0.177267	+	0.541199i
$345$	−0.737519	+	0.924819i	−0.0397067	+	0.0497906i
$346$	−14.6546	−	17.2611i	−0.787835	−	0.927965i
$347$	3.49523	−	0.797764i	0.187634	−	0.0428262i	−0.127671	−	0.991817i	$-0.540750\pi$
$347$	3.49523	−	0.797764i	0.187634	−	0.0428262i	0.315305	+	0.948990i	$0.397893\pi$
$348$	5.92377	+	20.1580i	0.317547	+	1.08058i
$349$	−12.5764	−	26.1151i	−0.673197	−	1.39791i	−0.905113	−	0.425172i	$-0.860214\pi$
$349$	−12.5764	−	26.1151i	−0.673197	−	1.39791i	0.231916	−	0.972736i	$-0.425501\pi$
$350$	−9.88735	+	15.7157i	−0.528501	+	0.840038i
$351$	2.08665	−	4.33297i	0.111377	−	0.231277i
$352$	9.06404	−	1.40286i	0.483115	−	0.0747727i
$353$	−0.281598	−	0.584744i	−0.0149879	−	0.0311228i	0.893341	−	0.449380i	$-0.148355\pi$
$353$	−0.281598	−	0.584744i	−0.0149879	−	0.0311228i	−0.908328	+	0.418258i	$0.862641\pi$
$354$	−8.50962	−	16.3650i	−0.452281	−	0.869792i
$355$	0.444794	−	1.94877i	0.0236072	−	0.103430i
$356$	−0.222631	−	3.62008i	−0.0117994	−	0.191864i
$357$	−2.03099	−	2.16221i	−0.107491	−	0.114436i
$358$	−4.63394	−	17.7687i	−0.244911	−	0.939105i
$359$	4.59151	+	9.53437i	0.242331	+	0.503205i	0.986290	−	0.165020i	$-0.0527688\pi$
$359$	4.59151	+	9.53437i	0.242331	+	0.503205i	−0.743960	+	0.668225i	$0.767055\pi$
$360$	0.546832	−	0.0505239i	0.0288206	−	0.00266284i
$361$	24.1348			1.27025
$362$	4.57536	+	2.03275i	0.240476	+	0.106839i
$363$	−1.86274	+	8.16122i	−0.0977687	+	0.428353i
$364$	−25.1907	+	3.61004i	−1.32035	+	0.189217i
$365$	0.118596	+	0.519603i	0.00620759	+	0.0271972i
$366$	2.76050	−	14.0736i	0.144294	−	0.735638i
$367$	15.0997	+	18.9345i	0.788200	+	0.988372i	0.999939	+	0.0110456i	$0.00351601\pi$
$367$	15.0997	+	18.9345i	0.788200	+	0.988372i	−0.211739	+	0.977326i	$0.567913\pi$
$368$	13.1843	+	20.4952i	0.687279	+	1.06839i
$369$	4.02628	−	0.918973i	0.209600	−	0.0478398i
$370$	0.412277	−	2.10187i	0.0214333	−	0.109271i
$371$	−2.97892	−	36.7339i	−0.154658	−	1.90713i
$372$	8.68340	−	4.85965i	0.450214	−	0.251961i
$373$	16.9203			0.876100			0.438050	−	0.898951i	$-0.355669\pi$
$373$	16.9203			0.876100			0.438050	+	0.898951i	$0.355669\pi$
$374$	−1.04385	+	2.34952i	−0.0539760	+	0.121491i
$375$	1.88576	+	0.430413i	0.0973804	+	0.0222264i
$376$	−1.64258	+	1.57795i	−0.0847097	+	0.0813763i
$377$	−39.4996	+	31.4999i	−2.03433	+	1.62233i
$378$	3.16929	−	1.98887i	0.163011	−	0.102296i
$379$	3.50687	+	2.79664i	0.180136	+	0.143654i	0.709407	−	0.704799i	$-0.248963\pi$
$379$	3.50687	+	2.79664i	0.180136	+	0.143654i	−0.529271	+	0.848453i	$0.677534\pi$
$380$	1.24551	+	2.22552i	0.0638933	+	0.114167i
$381$	−12.7910	−	10.2005i	−0.655303	−	0.522587i
$382$	9.28107	−	0.285118i	0.474861	−	0.0145879i
$383$	7.86466	+	9.86197i	0.401865	+	0.503923i	0.941051	−	0.338263i	$-0.109839\pi$
$383$	7.86466	+	9.86197i	0.401865	+	0.503923i	−0.539186	+	0.842187i	$0.681268\pi$
$384$	2.62137	−	11.0058i	0.133771	−	0.561639i
$385$	−0.794377	+	0.250365i	−0.0404852	+	0.0127598i
$386$	−0.247621	−	8.06047i	−0.0126036	−	0.410267i
$387$	1.62030	−	3.36458i	0.0823643	−	0.171031i
$388$	27.7992	+	19.5030i	1.41129	+	0.990116i
$389$	−18.9092	−	9.10617i	−0.958732	−	0.461701i	−0.111993	−	0.993709i	$-0.535723\pi$
$389$	−18.9092	−	9.10617i	−0.958732	−	0.461701i	−0.846739	+	0.532008i	$0.821438\pi$
$390$	0.609216	+	1.17160i	0.0308489	+	0.0593261i
$391$	−6.83097			−0.345457
$392$	−18.0844	−	8.05934i	−0.913402	−	0.407058i
$393$	3.17228			0.160021
$394$	10.9434	+	21.0454i	0.551319	+	1.06025i
$395$	2.34290	+	1.12828i	0.117884	+	0.0567700i
$396$	−2.65463	−	1.86240i	−0.133400	−	0.0935892i
$397$	−16.0980	+	33.4278i	−0.807935	+	1.67769i	−0.0752109	+	0.997168i	$0.523963\pi$
$397$	−16.0980	+	33.4278i	−0.807935	+	1.67769i	−0.732724	+	0.680526i	$0.761751\pi$
$398$	0.410431	+	13.3602i	0.0205730	+	0.669686i
$399$	14.4168	+	9.70052i	0.721741	+	0.485634i
$400$	10.3809	−	16.9182i	0.519047	−	0.845912i
$401$	−0.184412	−	0.231245i	−0.00920909	−	0.0115478i	0.777206	−	0.629247i	$-0.216636\pi$
$401$	−0.184412	−	0.231245i	−0.00920909	−	0.0115478i	−0.786415	+	0.617699i	$0.788065\pi$
$402$	13.5715	−	0.416921i	0.676884	−	0.0207941i
$403$	18.7075	+	14.9187i	0.931887	+	0.743155i
$404$	−7.02773	−	12.5574i	−0.349643	−	0.624754i
$405$	−0.151799	−	0.121055i	−0.00754294	−	0.00601530i
$406$	−39.0621	+	4.37864i	−1.93862	+	0.217308i
$407$	−9.88858	+	7.88588i	−0.490159	+	0.390889i
$408$	2.19701	+	2.28700i	0.108768	+	0.113223i
$409$	−26.6364	−	6.07959i	−1.31709	−	0.300617i	−0.494462	−	0.869200i	$-0.664635\pi$
$409$	−26.6364	−	6.07959i	−1.31709	−	0.300617i	−0.822626	+	0.568583i	$0.807492\pi$
$410$	−0.460408	+	1.03630i	−0.0227379	+	0.0511791i
$411$	−13.0059			−0.641534
$412$	−24.3873	+	13.6483i	−1.20148	+	0.672404i
$413$	32.9120	−	10.3729i	1.61949	−	0.510419i
$414$	1.65840	−	8.45485i	0.0815059	−	0.415533i
$415$	0.940473	−	0.214657i	0.0461660	−	0.0105371i
$416$	26.8851	−	4.16106i	1.31815	−	0.204013i
$417$	5.27607	+	6.61598i	0.258370	+	0.323986i
$418$	2.89869	−	14.7781i	0.141779	−	0.722819i
$419$	−4.97230	−	21.7851i	−0.242913	−	1.06427i	−0.938351	−	0.345684i	$-0.887647\pi$
$419$	−4.97230	−	21.7851i	−0.242913	−	1.06427i	0.695438	−	0.718586i	$-0.255210\pi$
$420$	−0.0842132	+	1.02393i	−0.00410919	+	0.0499627i
$421$	2.81166	−	12.3187i	0.137032	−	0.600376i	−0.859046	−	0.511898i	$-0.828943\pi$
$421$	2.81166	−	12.3187i	0.137032	−	0.600376i	0.996078	−	0.0884778i	$-0.0282002\pi$
$422$	−15.4582	−	6.86781i	−0.752495	−	0.334320i
$423$	0.805294			0.0391547
$424$	3.62479	+	39.2320i	0.176035	+	1.90527i
$425$	2.41407	+	5.01287i	0.117100	+	0.243160i
$426$	3.67413	+	14.0883i	0.178012	+	0.682582i
$427$	25.0357	+	9.64947i	1.21156	+	0.466971i
$428$	−0.594695	−	9.67003i	−0.0287457	−	0.467418i
$429$	1.73514	−	7.60214i	0.0837733	−	0.367035i
$430$	0.473060	+	0.909753i	0.0228130	+	0.0438722i
$431$	12.8779	+	26.7411i	0.620304	+	1.28808i	0.940200	+	0.340623i	$0.110638\pi$
$431$	12.8779	+	26.7411i	0.620304	+	1.28808i	−0.319896	+	0.947453i	$0.603648\pi$
$432$	−3.36406	+	2.16405i	−0.161853	+	0.104118i
$433$	3.61279	−	7.50204i	0.173620	−	0.360525i	−0.795942	−	0.605373i	$-0.793024\pi$
$433$	3.61279	−	7.50204i	0.173620	−	0.360525i	0.969561	+	0.244848i	$0.0787382\pi$
$434$	6.13849	+	17.5750i	0.294657	+	0.843627i
$435$	0.884977	+	1.83767i	0.0424314	+	0.0881097i
$436$	6.96326	+	23.6953i	0.333480	+	1.13480i
$437$	39.0099	−	8.90376i	1.86610	−	0.425924i
$438$	−2.51246	−	2.95934i	−0.120050	−	0.141403i
$439$	2.19633	−	2.75411i	0.104825	−	0.131446i	−0.726652	−	0.687006i	$-0.758925\pi$
$439$	2.19633	−	2.75411i	0.104825	−	0.131446i	0.831477	+	0.555560i	$0.187496\pi$
$440$	0.846170	−	0.277158i	0.0403395	−	0.0132130i
$441$	2.63692	+	6.48434i	0.125568	+	0.308778i
$442$	−3.09618	+	6.96896i	−0.147270	+	0.331480i
$443$	−18.0981	−	14.4328i	−0.859867	−	0.685721i	0.0908217	−	0.995867i	$-0.471051\pi$
$443$	−18.0981	−	14.4328i	−0.859867	−	0.685721i	−0.950689	+	0.310146i	$0.899622\pi$
$444$	4.39874	+	14.9685i	0.208755	+	0.710372i
$445$	−0.0783492	−	0.343270i	−0.00371411	−	0.0162726i
$446$	−3.14764	+	2.67233i	−0.149045	+	0.126538i
$447$	7.60279	−	3.66131i	0.359600	−	0.173174i
$448$	19.4285	+	8.39845i	0.917910	+	0.396789i
$449$	29.9645	+	14.4302i	1.41411	+	0.681001i	0.975970	−	0.217904i	$-0.0699219\pi$
$449$	29.9645	+	14.4302i	1.41411	+	0.681001i	0.438143	+	0.898905i	$0.355636\pi$
$450$	−6.79063	+	1.77095i	−0.320113	+	0.0834832i
$451$	6.03294	−	2.90531i	0.284080	−	0.136806i
$452$	1.92797	−	0.118568i	0.0906841	−	0.00557697i
$453$	−2.77193	−	0.632674i	−0.130237	−	0.0297256i
$454$	7.55846	+	14.5358i	0.354736	+	0.682201i
$455$	−2.35622	+	0.742614i	−0.110461	+	0.0348143i
$456$	−15.5275	−	10.1968i	−0.727142	−	0.477509i
$457$	21.3851	−	10.2985i	1.00035	−	0.481744i	0.139294	−	0.990251i	$-0.455517\pi$
$457$	21.3851	−	10.2985i	1.00035	−	0.481744i	0.861058	+	0.508507i	$0.169802\pi$
$458$	5.06734	−	6.77074i	0.236781	−	0.316376i
$459$		−	1.12123i		−	0.0523344i
$460$	1.58579	+	1.75561i	0.0739380	+	0.0818557i
$461$	14.3664	+	3.27903i	0.669109	+	0.152720i	0.543563	−	0.839368i	$-0.317075\pi$
$461$	14.3664	+	3.27903i	0.669109	+	0.152720i	0.125545	+	0.992088i	$0.459932\pi$
$462$	4.29224	−	4.28734i	0.199693	−	0.199465i
$463$	−7.08091	+	1.61617i	−0.329078	+	0.0751099i	−0.383868	−	0.923388i	$-0.625408\pi$
$463$	−7.08091	+	1.61617i	−0.329078	+	0.0751099i	0.0547899	+	0.998498i	$0.482551\pi$
$464$	41.7040	−	5.14897i	1.93606	−	0.239035i
$465$	0.755257	−	0.602297i	0.0350242	−	0.0279309i
$466$	10.2994	−	2.68600i	0.477110	−	0.124427i
$467$	5.62685	+	24.6528i	0.260380	+	1.14080i	0.920841	+	0.389938i	$0.127504\pi$
$467$	5.62685	+	24.6528i	0.260380	+	1.14080i	−0.660462	+	0.750860i	$0.729639\pi$
$468$	−7.87396	−	5.52411i	−0.363974	−	0.255352i
$469$	−3.63222	+	25.1409i	−0.167720	+	1.16090i
$470$	−0.132492	+	0.177029i	−0.00611138	+	0.00816574i
$471$			8.41022i			0.387523i
$472$	−35.0578	+	11.4830i	−1.61367	+	0.528548i
$473$	1.34735	−	5.90311i	0.0619511	−	0.271425i
$474$	−18.9321	+	0.581602i	−0.869580	+	0.0267139i
$475$	−20.3201	−	25.4806i	−0.932351	−	1.16913i
$476$	−4.92619	+	3.30648i	−0.225792	+	0.151552i
$477$	8.68501	−	10.8907i	0.397659	−	0.498649i
$478$	3.77830	−	5.04838i	0.172815	−	0.230907i
$479$	22.0968	−	27.7085i	1.00963	−	1.26604i	0.0459587	−	0.998943i	$-0.485366\pi$
$479$	22.0968	−	27.7085i	1.00963	−	1.26604i	0.963671	−	0.267092i	$-0.0860628\pi$
$480$	0.0777465	−	1.09557i	0.00354863	−	0.0500056i
$481$	−29.3308	+	23.3905i	−1.33737	+	1.06651i
$482$	−11.2399	−	13.2391i	−0.511962	−	0.603023i
$483$	15.0405	+	5.79702i	0.684366	+	0.263774i
$484$	15.5017	+	6.32456i	0.704620	+	0.287480i
$485$	2.97017	+	1.43036i	0.134868	+	0.0649491i
$486$	1.38777	+	0.272208i	0.0629505	+	0.0123476i
$487$	1.98655	−	4.12512i	0.0900194	−	0.186927i	−0.851098	−	0.525006i	$-0.824063\pi$
$487$	1.98655	−	4.12512i	0.0900194	−	0.186927i	0.941118	+	0.338079i	$0.109777\pi$
$488$	−26.8783	−	10.0149i	−1.21672	−	0.453354i
$489$		−	13.5827i		−	0.614232i
$490$	−1.85930	−	0.487162i	−0.0839947	−	0.0220078i
$491$			32.7911i			1.47984i	0.672694	+	0.739921i	$0.265137\pi$
$491$			32.7911i			1.47984i	−0.672694	+	0.739921i	$0.734863\pi$
$492$	−0.507001	−	8.24408i	−0.0228574	−	0.371672i
$493$	−5.11058	+	10.6122i	−0.230169	+	0.477951i
$494$	8.59786	−	43.8336i	0.386836	−	1.97217i
$495$	−0.283630	−	0.136589i	−0.0127482	−	0.00613922i
$496$	−6.77261	−	18.7137i	−0.304099	−	0.840270i
$497$	−27.1493	+	2.20166i	−1.21781	+	0.0987580i
$498$	−5.35636	+	4.54752i	−0.240024	+	0.203779i
$499$	7.85186	−	6.26165i	0.351497	−	0.280310i	−0.431784	−	0.901977i	$-0.642116\pi$
$499$	7.85186	−	6.26165i	0.351497	−	0.280310i	0.783282	+	0.621667i	$0.213544\pi$
$500$	1.46138	−	3.58187i	0.0653548	−	0.160186i
$501$	−13.2261	+	16.5851i	−0.590901	+	0.740966i
$502$	0.139371	+	0.104308i	0.00622042	+	0.00465547i
$503$	26.0534	−	32.6700i	1.16167	−	1.45668i	0.296615	−	0.954997i	$-0.404142\pi$
$503$	26.0534	−	32.6700i	1.16167	−	1.45668i	0.865051	−	0.501685i	$-0.167286\pi$
$504$	−2.89655	−	6.90000i	−0.129023	−	0.307350i
$505$	−0.871005	−	1.09221i	−0.0387592	−	0.0486025i
$506$	−0.428956	−	13.9632i	−0.0190694	−	0.620741i
$507$	2.25387	−	9.87483i	0.100098	−	0.438557i
$508$	−24.2815	+	21.9328i	−1.07732	+	0.973111i
$509$		−	40.9427i		−	1.81476i	−0.420316	−	0.907378i	$-0.638081\pi$
$509$		−	40.9427i		−	1.81476i	0.420316	−	0.907378i	$-0.361919\pi$
$510$	0.246481	+	0.184471i	0.0109144	+	0.00816850i
$511$	6.26727	−	3.66971i	0.277248	−	0.162339i
$512$	−20.8693	−	8.74483i	−0.922302	−	0.386471i
$513$	1.46145	+	6.40304i	0.0645247	+	0.282701i
$514$	−1.98170	−	7.59876i	−0.0874091	−	0.335167i
$515$	−2.12113	+	1.69155i	−0.0934684	+	0.0745385i
$516$	−6.11418	−	4.28951i	−0.269162	−	0.188835i
$517$	1.27296	−	0.290544i	0.0559846	−	0.0127781i
$518$	−29.0059	+	3.25139i	−1.27445	+	0.142858i
$519$	15.6096	+	3.56278i	0.685184	+	0.156389i
$520$	2.50984	−	0.822086i	0.110064	−	0.0360508i
$521$			1.39457i			0.0610973i	0.999533	+	0.0305486i	$0.00972545\pi$
$521$			1.39457i			0.0610973i	−0.999533	+	0.0305486i	$0.990275\pi$
$522$	−11.8943	−	8.90189i	−0.520598	−	0.389625i
$523$	−28.4464	+	13.6990i	−1.24387	+	0.599018i	−0.935862	−	0.352366i	$-0.885377\pi$
$523$	−28.4464	+	13.6990i	−1.24387	+	0.599018i	−0.308010	+	0.951383i	$0.599663\pi$
$524$	1.02945	−	6.26049i	0.0449719	−	0.273491i
$525$	−1.06121	−	13.0861i	−0.0463150	−	0.571122i
$526$	−11.2396	+	5.84444i	−0.490068	+	0.254830i
$527$	5.43867	+	1.24134i	0.236912	+	0.0540736i
$528$	−4.53691	+	4.63453i	−0.197444	+	0.201692i
$529$	12.7193	−	6.12531i	0.553014	−	0.266318i
$530$	0.965201	+	3.70103i	0.0419257	+	0.160763i
$531$	11.7511	+	5.65905i	0.509956	+	0.245582i
$532$	23.8224	−	25.3035i	1.03283	−	1.09704i
$533$	17.8944	−	8.61751i	0.775094	−	0.373266i
$534$	1.65983	+	1.95506i	0.0718279	+	0.0846036i
$535$	−0.209288	−	0.916949i	−0.00904829	−	0.0396431i
$536$	3.58135	−	26.9186i	0.154691	−	1.16270i
$537$	10.1518	+	8.09577i	0.438081	+	0.349358i
$538$	20.2504	+	8.99688i	0.873057	+	0.387883i
$539$	6.50778	+	9.29865i	0.280310	+	0.400521i
$540$	−0.288164	+	0.260290i	−0.0124006	+	0.0112011i
$541$	1.37573	−	1.72511i	0.0591471	−	0.0741681i	−0.751378	−	0.659872i	$-0.770610\pi$
$541$	1.37573	−	1.72511i	0.0591471	−	0.0741681i	0.810525	+	0.585704i	$0.199182\pi$
$542$	17.8460	−	15.1511i	0.766551	−	0.650796i
$543$	−3.45144	+	0.787768i	−0.148115	+	0.0338063i
$544$	5.22635	−	3.59362i	0.224078	−	0.154075i
$545$	1.04027	+	2.16014i	0.0445603	+	0.0925304i
$546$	12.7313	−	12.7168i	0.544850	−	0.544228i
$547$	−3.57896	+	7.43179i	−0.153025	+	0.317760i	−0.963362	−	0.268204i	$-0.913570\pi$
$547$	−3.57896	+	7.43179i	−0.153025	+	0.317760i	0.810337	+	0.585964i	$0.199284\pi$
$548$	−4.22061	+	25.6671i	−0.180296	+	1.09645i
$549$	4.40008	+	9.13686i	0.187791	+	0.389952i
$550$	−10.0953	+	5.24941i	−0.430463	+	0.223836i
$551$	15.3528	−	67.2651i	0.654052	−	2.86559i
$552$	−16.1474	−	6.01657i	−0.687281	−	0.256082i
$553$	5.06692	−	35.0713i	0.215467	−	1.49138i
$554$	1.03562	−	0.270081i	0.0439991	−	0.0114746i
$555$	0.657146	+	1.36458i	0.0278943	+	0.0579231i
$556$	14.7688	−	8.26532i	0.626336	−	0.350528i
$557$	21.3934			0.906468			0.453234	−	0.891392i	$-0.350270\pi$
$557$	21.3934			0.906468			0.453234	+	0.891392i	$0.350270\pi$
$558$	−2.85682	+	6.43020i	−0.120939	+	0.272212i
$559$	3.99640	−	17.5094i	0.169030	−	0.740567i
$560$	1.99339	+	0.498475i	0.0842363	+	0.0210644i
$561$	−0.404531	−	1.77236i	−0.0170793	−	0.0748293i
$562$	−14.7908	−	2.90118i	−0.623911	−	0.122379i
$563$	25.5086	+	31.9868i	1.07506	+	1.34808i	0.933672	+	0.358130i	$0.116586\pi$
$563$	25.5086	+	31.9868i	1.07506	+	1.34808i	0.141390	+	0.989954i	$0.454843\pi$
$564$	0.261330	−	1.58925i	0.0110040	−	0.0669193i
$565$	0.182818	−	0.0417269i	0.00769119	−	0.00175546i
$566$	−9.88101	−	1.93814i	−0.415330	−	0.0814660i
$567$	−0.951516	+	2.46873i	−0.0399599	+	0.103677i
$568$	28.9956	−	2.67901i	1.21663	−	0.112409i
$569$	−11.6024			−0.486399			−0.243200	−	0.969976i	$-0.578197\pi$
$569$	−11.6024			−0.486399			−0.243200	+	0.969976i	$0.578197\pi$
$570$	−1.64804	−	0.732192i	−0.0690286	−	0.0306681i
$571$	−35.7076	−	8.15002i	−1.49431	−	0.341068i	−0.604211	−	0.796825i	$-0.706511\pi$
$571$	−35.7076	−	8.15002i	−1.49431	−	0.341068i	−0.890104	+	0.455757i	$0.849369\pi$
$572$	−14.4397	−	5.89130i	−0.603755	−	0.246328i
$573$	−5.13335	+	4.09371i	−0.214449	+	0.171017i
$574$	15.3542	+	1.73889i	0.640874	+	0.0725800i
$575$	−23.6366	−	18.8496i	−0.985715	−	0.786081i
$576$	3.17907	+	7.34122i	0.132461	+	0.305884i
$577$	−8.97703	−	7.15894i	−0.373719	−	0.298031i	0.418561	−	0.908189i	$-0.362535\pi$
$577$	−8.97703	−	7.15894i	−0.373719	−	0.298031i	−0.792280	+	0.610158i	$0.791106\pi$
$578$	−0.683629	−	22.2533i	−0.0284352	−	0.925613i
$579$	3.55533	+	4.45824i	0.147754	+	0.185278i
$580$	3.91383	−	1.15015i	0.162513	−	0.0477572i
$581$	−6.64213	−	11.3437i	−0.275562	−	0.470615i
$582$	−24.0008	+	0.737314i	−0.994866	+	0.0305627i
$583$	9.79945	−	20.3488i	0.405852	−	0.842759i
$584$	−6.65558	+	3.99798i	−0.275410	+	0.165438i
$585$	−0.841281	−	0.405140i	−0.0347827	−	0.0167505i
$586$	4.40610	−	2.29112i	0.182014	−	0.0946453i
$587$	28.4578			1.17458			0.587290	−	0.809376i	$-0.300195\pi$
$587$	28.4578			1.17458			0.587290	+	0.809376i	$0.300195\pi$
$588$	13.6525	−	3.09969i	0.563021	−	0.127829i
$589$	−32.6768			−1.34643
$590$	−3.17740	+	1.65221i	−0.130812	+	0.0680204i
$591$	−15.1120	−	7.27754i	−0.621623	−	0.299358i
$592$	30.9677	−	3.82341i	1.27276	−	0.157141i
$593$	−4.06599	+	8.44312i	−0.166970	+	0.346718i	−0.967618	−	0.252417i	$-0.918774\pi$
$593$	−4.06599	+	8.44312i	−0.166970	+	0.346718i	0.800648	+	0.599135i	$0.204489\pi$
$594$	2.29191	−	0.0704083i	0.0940381	−	0.00288889i
$595$	−0.419809	+	0.394333i	−0.0172105	+	0.0161661i
$596$	−4.75837	−	16.1922i	−0.194910	−	0.663260i
$597$	−5.89294	−	7.38952i	−0.241182	−	0.302433i
$598$	−1.27234	−	41.4167i	−0.0520297	−	1.69365i
$599$	21.8117	+	17.3943i	0.891203	+	0.710711i	0.957912	−	0.287062i	$-0.0926785\pi$
$599$	21.8117	+	17.3943i	0.891203	+	0.710711i	−0.0667092	+	0.997772i	$0.521250\pi$
$600$	1.29129	+	13.9760i	0.0527169	+	0.570567i
$601$	10.4282	+	8.31619i	0.425374	+	0.339224i	0.812663	−	0.582734i	$-0.198017\pi$
$601$	10.4282	+	8.31619i	0.425374	+	0.339224i	−0.387289	+	0.921958i	$0.626588\pi$
$602$	9.88595	−	9.87466i	0.402921	−	0.402461i
$603$	−7.50637	+	5.98613i	−0.305683	+	0.243774i
$604$	−2.14811	+	5.26508i	−0.0874055	+	0.214233i
$605$	1.58457	+	0.361667i	0.0644217	+	0.0147038i
$606$	9.29896	+	4.13135i	0.377744	+	0.167825i
$607$	−18.0976			−0.734558			−0.367279	−	0.930111i	$-0.619711\pi$
$607$	−18.0976			−0.734558			−0.367279	+	0.930111i	$0.619711\pi$
$608$	−25.1623	+	27.3345i	−1.02046	+	1.10856i
$609$	20.2585	−	19.0291i	0.820915	−	0.771097i
$610$	−2.73250	−	0.535973i	−0.110636	−	0.0217009i
$611$	3.77575	−	0.861791i	0.152751	−	0.0348643i
$612$	−2.21274	−	0.363855i	−0.0894446	−	0.0147080i
$613$	15.8309	+	19.8513i	0.639403	+	0.801786i	0.990928	−	0.134393i	$-0.0429083\pi$
$613$	15.8309	+	19.8513i	0.639403	+	0.801786i	−0.351525	+	0.936178i	$0.614337\pi$
$614$	12.4984	+	2.45153i	0.504395	+	0.0989359i
$615$	−0.178426	−	0.781735i	−0.00719483	−	0.0315226i
$616$	−7.06815	−	9.86203i	−0.284784	−	0.397353i
$617$	−3.72839	+	16.3352i	−0.150099	+	0.657629i	0.842755	+	0.538297i	$0.180932\pi$
$617$	−3.72839	+	16.3352i	−0.150099	+	0.657629i	−0.992854	+	0.119332i	$0.961925\pi$
$618$	8.02336	−	18.0592i	0.322747	−	0.726447i
$619$	−31.1807			−1.25326			−0.626629	−	0.779318i	$-0.715566\pi$
$619$	−31.1807			−1.25326			−0.626629	+	0.779318i	$0.715566\pi$
$620$	−0.943540	−	1.68595i	−0.0378935	−	0.0677094i
$621$	2.64340	+	5.48907i	0.106076	+	0.220269i
$622$	24.2093	−	6.31360i	0.970704	−	0.253152i
$623$	−4.14041	+	2.42436i	−0.165882	+	0.0971299i
$624$	−13.4570	+	13.7466i	−0.538713	+	0.550304i
$625$	−5.43751	+	23.8233i	−0.217501	+	0.952932i
$626$	−27.3474	+	14.2203i	−1.09302	+	0.568359i
$627$	4.62034	+	9.59424i	0.184519	+	0.383157i
$628$	16.5975	+	2.72924i	0.662314	+	0.108909i
$629$	−3.79490	+	7.88020i	−0.151313	+	0.314204i
$630$	−0.386155	−	0.615343i	−0.0153848	−	0.0245158i
$631$	−5.05742	−	10.5018i	−0.201333	−	0.418072i	0.775718	−	0.631080i	$-0.217388\pi$
$631$	−5.05742	−	10.5018i	−0.201333	−	0.418072i	−0.977050	+	0.213008i	$0.931674\pi$
$632$	−4.99596	+	37.5512i	−0.198729	+	1.49371i
$633$	11.6610	−	2.66154i	0.463482	−	0.105787i
$634$	−2.97271	+	2.52381i	−0.118061	+	0.100233i
$635$	−1.98051	+	2.48348i	−0.0785940	+	0.0985538i
$636$	−18.6743	−	20.6740i	−0.740483	−	0.819778i
$637$	19.3029	+	27.5809i	0.764808	+	1.09280i
$638$	−22.0135	−	9.78017i	−0.871521	−	0.387201i
$639$	−8.04907	−	6.41892i	−0.318416	−	0.253929i
$640$	−2.13687	−	0.508961i	−0.0844672	−	0.0201184i
$641$	8.65120	+	37.9034i	0.341702	+	1.49709i	0.795480	+	0.605979i	$0.207219\pi$
$641$	8.65120	+	37.9034i	0.341702	+	1.49709i	−0.453778	+	0.891115i	$0.649924\pi$
$642$	4.43377	+	5.22238i	0.174987	+	0.206111i
$643$	−20.9123	+	10.0709i	−0.824702	+	0.397156i	−0.798126	−	0.602491i	$-0.794175\pi$
$643$	−20.9123	+	10.0709i	−0.824702	+	0.397156i	−0.0265767	+	0.999647i	$0.508461\pi$
$644$	16.3213	−	27.8011i	0.643148	−	1.09552i
$645$	−0.653260	−	0.314594i	−0.0257221	−	0.0123871i
$646$	−2.62802	−	10.0771i	−0.103398	−	0.396477i
$647$	−32.4062	+	15.6060i	−1.27402	+	0.613536i	−0.943846	−	0.330385i	$-0.892821\pi$
$647$	−32.4062	+	15.6060i	−1.27402	+	0.613536i	−0.330173	+	0.943920i	$0.607107\pi$
$648$	0.987553	−	2.65042i	0.0387947	−	0.104118i
$649$	20.6172	+	4.70574i	0.809296	+	0.184716i
$650$	−29.9438	+	15.5704i	−1.17449	+	0.610721i
$651$	−10.9215	−	7.34866i	−0.428046	−	0.288017i
$652$	−26.8055	−	4.40780i	−1.04978	−	0.172623i
$653$	29.9551	−	14.4256i	1.17223	−	0.564518i	0.256595	−	0.966519i	$-0.417399\pi$
$653$	29.9551	−	14.4256i	1.17223	−	0.564518i	0.915639	+	0.402001i	$0.131685\pi$
$654$	−13.9815	−	10.4640i	−0.546719	−	0.409174i
$655$		−	0.615924i		−	0.0240661i
$656$	−16.4342	−	1.67476i	−0.641648	−	0.0653885i
$657$	2.67619	+	0.610822i	0.104408	+	0.0238304i
$658$	2.84348	+	0.996801i	0.110850	+	0.0388593i
$659$	−21.4918	+	4.90536i	−0.837202	+	0.191086i	−0.619566	−	0.784944i	$-0.712691\pi$
$659$	−21.4918	+	4.90536i	−0.837202	+	0.191086i	−0.217635	+	0.976030i	$0.569834\pi$
$660$	−0.361600	+	0.515418i	−0.0140753	+	0.0200626i
$661$	9.04876	−	7.21614i	0.351956	−	0.280676i	−0.431513	−	0.902107i	$-0.642020\pi$
$661$	9.04876	−	7.21614i	0.351956	−	0.280676i	0.783469	+	0.621431i	$0.213449\pi$
$662$	−6.79399	−	26.0513i	−0.264056	−	1.01251i
$663$	−1.19989	−	5.25705i	−0.0465998	−	0.204167i
$664$	7.23629	+	12.0465i	0.280822	+	0.467495i
$665$	1.88343	−	2.79913i	0.0730364	−	0.108546i
$666$	−8.83219	−	6.61017i	−0.342240	−	0.256139i
$667$		−	64.0018i		−	2.47816i
$668$	28.4385	+	31.4839i	1.10032	+	1.21815i
$669$	0.649689	−	2.84647i	0.0251184	−	0.110051i
$670$	−0.0809485	−	2.63501i	−0.00312731	−	0.101799i
$671$	10.2519	+	12.8555i	0.395770	+	0.496279i
$672$	−14.5571	+	3.47718i	−0.561552	+	0.134135i
$673$	10.9357	−	13.7130i	0.421541	−	0.528595i	−0.525033	−	0.851082i	$-0.675947\pi$
$673$	10.9357	−	13.7130i	0.421541	−	0.528595i	0.946574	+	0.322486i	$0.104519\pi$
$674$	16.8512	+	12.6117i	0.649084	+	0.485786i
$675$	3.09395	−	3.87968i	0.119086	−	0.149329i
$676$	−18.7565	−	7.65253i	−0.721405	−	0.294328i
$677$	17.5635	−	14.0065i	0.675022	−	0.538312i	−0.224890	−	0.974384i	$-0.572202\pi$
$677$	17.5635	−	14.0065i	0.675022	−	0.538312i	0.899912	+	0.436072i	$0.143631\pi$
$678$	−1.04122	+	0.883986i	−0.0399877	+	0.0339493i
$679$	6.42349	−	44.4610i	0.246511	−	1.70626i
$680$	0.444039	−	0.426566i	0.0170281	−	0.0163581i
$681$	−10.4377	−	5.02651i	−0.399972	−	0.192616i
$682$	−2.19591	+	11.1952i	−0.0840857	+	0.428685i
$683$	−4.08266	+	8.47772i	−0.156218	+	0.324391i	−0.964358	−	0.264600i	$-0.914760\pi$
$683$	−4.08266	+	8.47772i	−0.156218	+	0.324391i	0.808140	+	0.588991i	$0.200475\pi$
$684$	13.1106	−	0.806289i	0.501298	−	0.0308292i
$685$			2.52520i			0.0964829i
$686$	1.28455	+	26.1601i	0.0490443	+	0.998797i
$687$			5.98000i			0.228151i
$688$	−10.4495	+	10.6743i	−0.398383	+	0.406954i
$689$	29.0664	−	60.3569i	1.10734	−	2.29942i
$690$	−1.64158	−	0.321991i	−0.0624937	−	0.0122580i
$691$	−8.71265	−	4.19579i	−0.331445	−	0.159615i	0.260758	−	0.965404i	$-0.416027\pi$
$691$	−8.71265	−	4.19579i	−0.331445	−	0.159615i	−0.592203	+	0.805789i	$0.701742\pi$
$692$	12.0967	−	29.6492i	0.459847	−	1.12710i
$693$	−0.613398	+	4.24571i	−0.0233010	+	0.161281i
$694$	3.28140	+	3.86505i	0.124560	+	0.146715i
$695$	1.28454	−	1.02439i	0.0487256	−	0.0388573i
$696$	−21.4277	+	20.5845i	−0.812216	+	0.780254i
$697$	2.88705	−	3.62025i	0.109355	−	0.137127i
$698$	24.5618	−	32.8183i	0.929678	−	1.24219i
$699$	−4.69261	+	5.88434i	−0.177491	+	0.222566i
$700$	−26.1697	−	2.15233i	−0.989121	−	0.0813504i
$701$	16.2526	+	20.3801i	0.613851	+	0.769744i	0.987465	−	0.157840i	$-0.0504530\pi$
$701$	16.2526	+	20.3801i	0.613851	+	0.769744i	−0.373614	+	0.927584i	$0.621882\pi$
$702$	6.79808	−	0.208840i	0.256577	−	0.00788215i
$703$	11.4004	−	49.9482i	0.429972	−	1.88383i
$704$	7.67393	+	10.4576i	0.289222	+	0.394134i
$705$		−	0.156354i		−	0.00588864i
$706$	0.549964	−	0.734836i	0.0206982	−	0.0276559i
$707$	−10.6272	+	15.7939i	−0.399676	+	0.593992i
$708$	14.9815	−	21.3544i	0.563040	−	0.802547i
$709$	−6.88496	−	30.1650i	−0.258570	−	1.13287i	−0.922781	−	0.385324i	$-0.874090\pi$
$709$	−6.88496	−	30.1650i	−0.258570	−	1.13287i	0.664211	−	0.747545i	$-0.268768\pi$
$710$	2.73536	−	0.713361i	0.102656	−	0.0267720i
$711$	10.4713	−	8.35061i	0.392706	−	0.313172i
$712$	4.39694	−	2.64122i	0.164782	−	0.0989841i
$713$	−29.5521	+	6.74506i	−1.10673	+	0.252605i
$714$	1.38786	−	3.95903i	0.0519395	−	0.148163i
$715$	−1.47602	−	0.336891i	−0.0551999	−	0.0125990i
$716$	19.2714	−	17.4073i	0.720205	−	0.650541i
$717$			4.45879i			0.166517i
$718$	−8.96729	+	11.9817i	−0.334656	+	0.447152i
$719$	−26.8905	+	12.9498i	−1.00285	+	0.482945i	−0.861903	−	0.507072i	$-0.830728\pi$
$719$	−26.8905	+	12.9498i	−1.00285	+	0.482945i	−0.140943	+	0.990018i	$0.545013\pi$
$720$	0.420168	+	0.653158i	0.0156587	+	0.0243418i
$721$	30.6729	+	20.6387i	1.14232	+	0.768624i
$722$	15.7465	+	30.2824i	0.586023	+	1.12699i
$723$	11.9723	+	2.73261i	0.445256	+	0.101627i
$724$	0.434615	+	7.06704i	0.0161523	+	0.262644i
$725$	−46.9674	+	22.6183i	−1.74432	+	0.840023i
$726$	−11.4554	+	2.98748i	−0.425149	+	0.110876i
$727$	18.9489	+	9.12532i	0.702777	+	0.338439i	0.750913	−	0.660401i	$-0.229614\pi$
$727$	18.9489	+	9.12532i	0.702777	+	0.338439i	−0.0481361	+	0.998841i	$0.515328\pi$
$728$	−20.9650	−	29.2520i	−0.777015	−	1.08415i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−0.574579	+	0.487814i	−0.0212661	+	0.0180548i
$731$	−0.931721	−	4.08214i	−0.0344609	−	0.150983i
$732$	19.4595	−	5.71850i	0.719242	−	0.211362i
$733$	20.3280	+	16.2110i	0.750832	+	0.598769i	0.922324	−	0.386417i	$-0.126287\pi$
$733$	20.3280	+	16.2110i	0.750832	+	0.598769i	−0.171492	+	0.985186i	$0.554859\pi$
$734$	−13.9058	+	31.2996i	−0.513273	+	1.15529i
$735$	1.25899	−	0.511979i	0.0464384	−	0.0188846i
$736$	−17.1138	+	29.9145i	−0.630822	+	1.10266i
$737$	−9.70584	+	12.1707i	−0.357519	+	0.448315i
$738$	3.77996	+	4.45229i	0.139142	+	0.163891i
$739$	3.45730	−	0.789107i	0.127179	−	0.0290278i	−0.158458	−	0.987366i	$-0.550652\pi$
$739$	3.45730	−	0.789107i	0.127179	−	0.0290278i	0.285637	+	0.958338i	$0.407795\pi$
$740$	2.90625	−	0.854050i	0.106836	−	0.0313955i
$741$	13.7045	+	28.4577i	0.503448	+	1.04542i
$742$	44.1472	−	27.7043i	1.62069	−	1.01706i
$743$	−7.07758	+	14.6967i	−0.259651	+	0.539171i	−0.989517	−	0.144420i	$-0.953868\pi$
$743$	−7.07758	+	14.6967i	−0.259651	+	0.539171i	0.729865	+	0.683591i	$0.239583\pi$
$744$	11.7629	+	7.72462i	0.431249	+	0.283198i
$745$	−0.710873	−	1.47614i	−0.0260444	−	0.0540817i
$746$	11.0395	+	21.2302i	0.404184	+	0.777294i
$747$	1.10558	−	4.84386i	0.0404510	−	0.177228i
$748$	−3.62903	+	0.223181i	−0.132691	+	0.00816032i
$749$	−11.0599	+	6.47599i	−0.404121	+	0.236627i
$750$	0.690298	+	2.64692i	0.0252061	+	0.0966520i
$751$	5.11587	+	10.6232i	0.186681	+	0.387647i	0.973214	−	0.229901i	$-0.0738404\pi$
$751$	5.11587	+	10.6232i	0.186681	+	0.387647i	−0.786533	+	0.617548i	$0.788126\pi$
$752$	−3.05157	−	1.03147i	−0.111279	−	0.0376138i
$753$	−0.123094			−0.00448579
$754$	−65.2947	−	29.0092i	−2.37789	−	1.05645i
$755$	−0.122839	+	0.538192i	−0.00447056	+	0.0195868i
$756$	4.56325	+	2.67895i	0.165964	+	0.0974326i
$757$	−5.52051	−	24.1869i	−0.200646	−	0.879089i	−0.970545	−	0.240922i	$-0.922550\pi$
$757$	−5.52051	−	24.1869i	−0.200646	−	0.879089i	0.769898	−	0.638167i	$-0.220307\pi$
$758$	−1.22098	+	6.22478i	−0.0443479	+	0.226094i
$759$	6.15893	+	7.72305i	0.223555	+	0.280329i
$760$	−1.97979	+	3.01479i	−0.0718145	+	0.109358i
$761$	−6.26459	+	1.42985i	−0.227091	+	0.0518321i	−0.334552	−	0.942377i	$-0.608585\pi$
$761$	−6.26459	+	1.42985i	−0.227091	+	0.0518321i	0.107461	+	0.994209i	$0.465728\pi$
$762$	4.45341	−	22.7043i	0.161330	−	0.822492i
$763$	23.8134	−	22.3683i	0.862103	−	0.809785i
$764$	6.41308	+	11.4591i	0.232017	+	0.414577i
$765$	−0.217695			−0.00787078
$766$	−7.24281	+	16.3023i	−0.261693	+	0.589026i
$767$	61.1532	+	13.9578i	2.20811	+	0.503987i
$768$	15.5195	−	3.89155i	0.560013	−	0.140424i
$769$	−4.68472	+	3.73594i	−0.168935	+	0.134721i	−0.704308	−	0.709895i	$-0.748743\pi$
$769$	−4.68472	+	3.73594i	−0.168935	+	0.134721i	0.535373	+	0.844616i	$0.320171\pi$
$770$	−0.832421	−	0.833373i	−0.0299984	−	0.0300327i
$771$	4.34140	+	3.46215i	0.156352	+	0.124686i
$772$	9.95207	−	5.56966i	0.358183	−	0.200456i
$773$	−39.9151	−	31.8313i	−1.43565	−	1.14489i	−0.964898	−	0.262624i	$-0.915412\pi$
$773$	−39.9151	−	31.8313i	−1.43565	−	1.14489i	−0.470749	−	0.882267i	$-0.656016\pi$
$774$	5.27876	−	0.162165i	0.189741	−	0.00582892i
$775$	15.3936	+	19.3029i	0.552953	+	0.693381i
$776$	−6.33353	+	47.6048i	−0.227361	+	1.70891i
$777$	15.0431	−	14.1302i	0.539668	−	0.506918i
$778$	−0.911380	−	29.6669i	−0.0326745	−	1.06361i
$779$	−11.7684	+	24.4374i	−0.421648	+	0.875561i
$780$	−1.07255	+	1.52879i	−0.0384035	+	0.0547395i
$781$	−15.0394	−	7.24258i	−0.538151	−	0.259160i
$782$	−4.45679	−	8.57095i	−0.159375	−	0.306497i
$783$	10.5052			0.375424
$784$	−1.68678	−	27.9491i	−0.0602421	−	0.998184i
$785$	1.63291			0.0582811
$786$	2.06972	+	3.98033i	0.0738245	+	0.141974i
$787$	19.5706	+	9.42469i	0.697615	+	0.335954i	0.748856	−	0.662733i	$-0.230603\pi$
$787$	19.5706	+	9.42469i	0.697615	+	0.335954i	−0.0512410	+	0.998686i	$0.516318\pi$
$788$	−19.2663	+	27.4617i	−0.686332	+	0.978284i
$789$	3.88666	−	8.07072i	0.138369	−	0.287325i
$790$	0.112923	+	3.67582i	0.00401760	+	0.130780i
$791$	−1.29116	−	2.20508i	−0.0459082	−	0.0784037i
$792$	0.604808	−	4.54592i	0.0214909	−	0.161532i
$793$	30.4084	+	38.1309i	1.07983	+	1.35407i
$794$	−52.4455	+	1.61115i	−1.86122	+	0.0571775i
$795$	−2.11451	−	1.68626i	−0.0749939	−	0.0598056i
$796$	−16.4955	+	9.23170i	−0.584669	+	0.327209i
$797$	33.1860	+	26.4649i	1.17551	+	0.937436i	0.998902	−	0.0468459i	$-0.0149170\pi$
$797$	33.1860	+	26.4649i	1.17551	+	0.937436i	0.176605	+	0.984282i	$0.443488\pi$
$798$	−2.76538	+	24.4180i	−0.0978934	+	0.864388i
$799$	0.705930	−	0.562960i	0.0249740	−	0.0199161i
$800$	28.0006	+	1.98705i	0.989971	+	0.0702529i
$801$	−1.76799	−	0.403533i	−0.0624690	−	0.0142581i
$802$	0.169831	−	0.382259i	0.00599692	−	0.0134980i
$803$	4.45072			0.157063
$804$	9.37768	+	16.7564i	0.330725	+	0.590952i
$805$	1.12554	−	2.92023i	0.0396700	−	0.102925i
$806$	−6.51333	+	33.2063i	−0.229422	+	1.16964i
$807$	−15.2760	+	3.48664i	−0.537739	+	0.122735i
$808$	11.1709	−	17.0108i	0.392990	−	0.598437i
$809$	−4.34919	−	5.45371i	−0.152909	−	0.191742i	0.699477	−	0.714656i	$-0.253417\pi$
$809$	−4.34919	−	5.45371i	−0.152909	−	0.191742i	−0.852386	+	0.522913i	$0.824845\pi$
$810$	0.0528513	−	0.269446i	0.00185701	−	0.00946738i
$811$	9.19290	+	40.2767i	0.322806	+	1.41431i	0.832536	+	0.553972i	$0.186888\pi$
$811$	9.19290	+	40.2767i	0.322806	+	1.41431i	−0.509729	+	0.860335i	$0.670254\pi$
$812$	−30.9796	−	46.1552i	−1.08717	−	1.61973i
$813$	−3.68350	+	16.1385i	−0.129186	+	0.566000i
$814$	−16.3463	−	7.26234i	−0.572936	−	0.254545i
$815$	−2.63719			−0.0923768
$816$	−1.43613	+	4.24876i	−0.0502747	+	0.148736i
$817$	10.6416	+	22.0976i	0.372304	+	0.773097i
$818$	−9.75047	−	37.3879i	−0.340917	−	1.30724i
$819$	−1.81941	+	12.5933i	−0.0635754	+	0.440046i
$820$	−1.60065	+	0.0984383i	−0.0558972	+	0.00343761i
$821$	−5.69088	+	24.9334i	−0.198613	+	0.870180i	0.773150	+	0.634223i	$0.218680\pi$
$821$	−5.69088	+	24.9334i	−0.198613	+	0.870180i	−0.971763	+	0.235957i	$0.924177\pi$
$822$	−8.48557	−	16.3188i	−0.295968	−	0.569183i
$823$	−2.59248	−	5.38333i	−0.0903680	−	0.187651i	0.850886	−	0.525350i	$-0.176066\pi$
$823$	−2.59248	−	5.38333i	−0.0903680	−	0.187651i	−0.941254	+	0.337699i	$0.890351\pi$
$824$	−33.0360	−	21.6945i	−1.15086	−	0.755765i
$825$	3.49095	−	7.24903i	0.121539	−	0.252379i
$826$	34.4882	+	34.5277i	1.20000	+	1.20137i
$827$	7.68871	+	15.9658i	0.267362	+	0.555184i	0.990820	−	0.135185i	$-0.0431627\pi$
$827$	7.68871	+	15.9658i	0.267362	+	0.555184i	−0.723458	+	0.690368i	$0.757448\pi$
$828$	11.6905	−	3.43545i	0.406272	−	0.119390i
$829$	−49.5032	+	11.2988i	−1.71932	+	0.392423i	−0.964619	−	0.263649i	$-0.915074\pi$
$829$	−49.5032	+	11.2988i	−1.71932	+	0.392423i	−0.754699	+	0.656072i	$0.772217\pi$
$830$	0.882936	+	1.03998i	0.0306472	+	0.0360983i
$831$	−0.471847	+	0.591678i	−0.0163682	+	0.0205251i
$832$	22.7618	+	31.0184i	0.789125	+	1.07537i
$833$	6.84458	+	3.84084i	0.237151	+	0.133077i
$834$	−4.85889	+	10.9365i	−0.168250	+	0.378700i
$835$	3.22012	+	2.56796i	0.111437	+	0.0888680i
$836$	20.4336	−	6.00476i	0.706710	−	0.207679i
$837$	−1.10713	−	4.85064i	−0.0382679	−	0.167663i
$838$	24.0900	−	20.4523i	0.832177	−	0.706512i
$839$	−20.1240	+	9.69118i	−0.694756	+	0.334577i	−0.747715	−	0.664020i	$-0.768849\pi$
$839$	−20.1240	+	9.69118i	−0.694756	+	0.334577i	0.0529590	+	0.998597i	$0.483135\pi$
$840$	−1.33969	+	0.562388i	−0.0462237	+	0.0194042i
$841$	−73.3017	−	35.3002i	−2.52764	−	1.21725i
$842$	17.2909	−	4.50934i	0.595885	−	0.155402i
$843$	9.60248	−	4.62431i	0.330727	−	0.159270i
$844$	−1.46838	−	23.8766i	−0.0505438	−	0.821866i
$845$	−1.91728	−	0.437606i	−0.0659563	−	0.0150541i
$846$	0.525406	+	1.01042i	0.0180638	+	0.0347389i
$847$	−1.79019	−	22.0754i	−0.0615118	−	0.758519i
$848$	−46.8602	+	30.1446i	−1.60919	+	1.03517i
$849$	6.41496	−	3.08928i	0.220161	−	0.106024i
$850$	−4.71472	+	6.29958i	−0.161713	+	0.216074i
$851$		−	47.5250i		−	1.62914i
$852$	−15.2798	+	13.8018i	−0.523476	+	0.472841i
$853$	−35.2501	−	8.04561i	−1.20694	−	0.275477i	−0.428703	−	0.903445i	$-0.641029\pi$
$853$	−35.2501	−	8.04561i	−1.20694	−	0.275477i	−0.778239	+	0.627969i	$0.783887\pi$
$854$	4.22691	+	37.7085i	0.144642	+	1.29036i
$855$	1.24320	−	0.283752i	0.0425166	−	0.00970413i
$856$	11.7452	−	7.05528i	0.401442	−	0.241145i
$857$	5.38486	−	4.29429i	0.183943	−	0.146690i	−0.527189	−	0.849748i	$-0.676754\pi$
$857$	5.38486	−	4.29429i	0.183943	−	0.146690i	0.711132	+	0.703058i	$0.248183\pi$
$858$	10.6706	−	2.78282i	0.364289	−	0.0950039i
$859$	−2.43238	−	10.6569i	−0.0829916	−	0.363610i	0.916331	−	0.400423i	$-0.131137\pi$
$859$	−2.43238	−	10.6569i	−0.0829916	−	0.363610i	−0.999322	+	0.0368126i	$0.988280\pi$
$860$	−0.832842	+	1.18712i	−0.0283997	+	0.0404803i
$861$	−9.42902	+	5.52104i	−0.321340	+	0.188156i
$862$	−25.1506	+	33.6051i	−0.856634	+	1.14459i
$863$			12.9734i			0.441621i	0.975317	+	0.220810i	$0.0708702\pi$
$863$			12.9734i			0.441621i	−0.975317	+	0.220810i	$0.929130\pi$
$864$	−4.91012	−	2.80903i	−0.167046	−	0.0955653i
$865$	0.691742	−	3.03072i	0.0235199	−	0.103048i
$866$	11.7701	−	0.361582i	0.399964	−	0.0122870i
$867$	9.81551	+	12.3083i	0.333352	+	0.418010i
$868$	−18.0467	+	19.1687i	−0.612546	+	0.650629i
$869$	13.5396	−	16.9781i	0.459299	−	0.575942i
$870$	−1.72837	+	2.30937i	−0.0585973	+	0.0782949i
$871$	−28.7887	+	36.0999i	−0.975469	+	1.22320i
$872$	−25.1878	+	24.1967i	−0.852967	+	0.819402i
$873$	13.2748	−	10.5863i	0.449285	−	0.358293i
$874$	36.6233	+	43.1374i	1.23880	+	1.45914i
$875$	−5.10083	+	0.413650i	−0.172439	+	0.0139839i
$876$	2.07392	−	5.08322i	0.0700712	−	0.171746i
$877$	37.3540	+	17.9887i	1.26135	+	0.607436i	0.940533	−	0.339704i	$-0.110327\pi$
$877$	37.3540	+	17.9887i	1.26135	+	0.607436i	0.320821	+	0.947140i	$0.396041\pi$
$878$	4.88861	+	0.958889i	0.164982	+	0.0323609i
$879$	−1.52364	+	3.16386i	−0.0513909	+	0.106714i
$880$	0.899830	+	0.880877i	0.0303333	+	0.0296944i
$881$		−	0.419975i		−	0.0141493i	−0.999975	−	0.00707465i	$-0.997748\pi$
$881$		−	0.419975i		−	0.0141493i	0.999975	−	0.00707465i	$-0.00225195\pi$
$882$	−6.41560	+	7.53924i	−0.216024	+	0.253859i
$883$			6.79523i			0.228678i	0.993442	+	0.114339i	$0.0364749\pi$
$883$			6.79523i			0.228678i	−0.993442	+	0.114339i	$0.963525\pi$
$884$	−10.7642	+	0.661983i	−0.362038	+	0.0222649i
$885$	1.09875	−	2.28158i	0.0369340	−	0.0766943i
$886$	6.30116	−	32.1246i	0.211692	−	1.07925i
$887$	−10.2556	−	4.93882i	−0.344348	−	0.165829i	0.253714	−	0.967279i	$-0.418348\pi$
$887$	−10.2556	−	4.93882i	−0.344348	−	0.165829i	−0.598062	+	0.801450i	$0.704062\pi$
$888$	−15.9113	+	15.2852i	−0.533949	+	0.512938i
$889$	40.3892	+	15.5671i	1.35461	+	0.522104i
$890$	0.379590	−	0.322269i	0.0127239	−	0.0108025i
$891$	−1.26765	+	1.01092i	−0.0424680	+	0.0338671i
$892$	−5.40667	−	2.20588i	−0.181029	−	0.0738584i
$893$	−3.29760	+	4.13506i	−0.110350	+	0.138374i
$894$	9.55428	+	7.15060i	0.319543	+	0.239152i
$895$	1.57186	−	1.97105i	0.0525414	−	0.0658848i
$896$	2.13820	+	29.8568i	0.0714323	+	0.997445i
$897$	18.2681	+	22.9075i	0.609956	+	0.764860i
$898$	1.44422	+	47.0119i	0.0481944	+	1.56881i
$899$	−11.6306	+	50.9568i	−0.387901	+	1.69951i
$900$	−6.65251	−	7.36491i	−0.221750	−	0.245497i
$901$		−	15.6183i		−	0.520322i
$902$	7.58148	+	5.67411i	0.252436	+	0.188927i
$903$	−1.41279	+	9.77878i	−0.0470146	+	0.325417i
$904$	1.40665	+	2.34171i	0.0467846	+	0.0778840i
$905$	0.152951	+	0.670124i	0.00508427	+	0.0222757i
$906$	−1.01468	−	3.89078i	−0.0337106	−	0.129262i
$907$	14.2731	−	11.3824i	0.473931	−	0.377947i	−0.357197	−	0.934029i	$-0.616267\pi$
$907$	14.2731	−	11.3824i	0.473931	−	0.377947i	0.831127	+	0.556082i	$0.187696\pi$
$908$	−13.3070	+	18.9675i	−0.441608	+	0.629459i
$909$	−7.01469	+	1.60106i	−0.232663	+	0.0531038i
$910$	−2.46906	−	2.47189i	−0.0818486	−	0.0819422i
$911$	44.8172	+	10.2292i	1.48486	+	0.338910i	0.886655	−	0.462432i	$-0.153023\pi$
$911$	44.8172	+	10.2292i	1.48486	+	0.338910i	0.598207	+	0.801342i	$0.295880\pi$
$912$	2.66339	−	26.1355i	0.0881937	−	0.865432i
$913$		−	8.05575i		−	0.266606i
$914$	26.8742	+	20.1132i	0.888921	+	0.665284i
$915$	1.77399	−	0.854310i	0.0586464	−	0.0282426i
$916$	11.8015	+	1.94060i	0.389933	+	0.0641192i
$917$	−8.00491	+	2.52292i	−0.264345	+	0.0833142i
$918$	1.40683	−	0.731533i	0.0464322	−	0.0241442i
$919$	−1.92359	−	0.439047i	−0.0634534	−	0.0144828i	0.190676	−	0.981653i	$-0.438932\pi$
$919$	−1.92359	−	0.439047i	−0.0634534	−	0.0144828i	−0.254130	+	0.967170i	$0.581789\pi$
$920$	−1.16817	+	3.13515i	−0.0385133	+	0.103363i
$921$	−8.11423	+	3.90761i	−0.267373	+	0.128760i
$922$	5.25892	+	20.1651i	0.173193	+	0.664104i
$923$	−44.6086	−	21.4824i	−1.46831	−	0.707101i
$924$	8.17984	+	2.58833i	0.269097	+	0.0851499i
$925$	−34.8760	+	16.7954i	−1.14672	+	0.552229i
$926$	−6.64771	−	7.83011i	−0.218457	−	0.257313i
$927$	3.10936	+	13.6230i	0.102125	+	0.447438i
$928$	33.6699	+	48.9675i	1.10527	+	1.60744i
$929$	−44.2731	−	35.3066i	−1.45255	−	1.15837i	−0.957107	−	0.289734i	$-0.906433\pi$
$929$	−44.2731	−	35.3066i	−1.45255	−	1.15837i	−0.495446	−	0.868639i	$-0.664995\pi$
$930$	1.24847	+	0.554674i	0.0409391	+	0.0181885i
$931$	−44.0940	−	13.0125i	−1.44512	−	0.426469i
$932$	10.0899	+	11.1704i	0.330506	+	0.365899i
$933$	−11.0302	+	13.8315i	−0.361114	+	0.452822i
$934$	−27.2612	+	23.1446i	−0.892015	+	0.757315i
$935$	−0.344119	+	0.0785428i	−0.0112539	+	0.00256863i
$936$	1.79394	−	13.4838i	0.0586366	−	0.440731i
$937$	−10.5685	−	21.9458i	−0.345259	−	0.716939i	0.653956	−	0.756532i	$-0.273108\pi$
$937$	−10.5685	−	21.9458i	−0.345259	−	0.716939i	−0.999216	+	0.0395936i	$0.987394\pi$
$938$	−33.9145	+	11.8455i	−1.10735	+	0.386768i
$939$	9.45677	−	19.6372i	0.308610	−	0.640835i
$940$	−0.308565	−	0.0507393i	−0.0100643	−	0.00165493i
$941$	22.7132	+	47.1644i	0.740428	+	1.53751i	0.840062	+	0.542491i	$0.182519\pi$
$941$	22.7132	+	47.1644i	0.740428	+	1.53751i	−0.0996338	+	0.995024i	$0.531767\pi$
$942$	−10.5525	+	5.48716i	−0.343818	+	0.178781i
$943$	−5.59876	+	24.5298i	−0.182321	+	0.798799i
$944$	−37.2811	−	36.4958i	−1.21340	−	1.18784i
$945$	0.479323	+	0.184744i	0.0155924	+	0.00600974i
$946$	8.28582	−	2.16088i	0.269395	−	0.0702562i
$947$	13.4708	+	27.9725i	0.437743	+	0.908984i	0.996806	+	0.0798582i	$0.0254468\pi$
$947$	13.4708	+	27.9725i	0.437743	+	0.908984i	−0.559063	+	0.829125i	$0.688839\pi$
$948$	−13.0818	−	23.3750i	−0.424877	−	0.759186i
$949$	13.2014			0.428536
$950$	18.7134	−	42.1206i	0.607143	−	1.36657i
$951$	0.613582	−	2.68828i	0.0198968	−	0.0871734i
$952$	−7.36275	−	4.02371i	−0.238628	−	0.130409i
$953$	−1.13714	−	4.98214i	−0.0368356	−	0.161387i	0.953165	−	0.302451i	$-0.0978049\pi$
$953$	−1.13714	−	4.98214i	−0.0368356	−	0.161387i	−0.990001	+	0.141064i	$0.954948\pi$
$954$	19.3312	+	3.79177i	0.625870	+	0.122763i
$955$	0.794827	+	0.996681i	0.0257200	+	0.0322519i
$956$	8.79941	+	1.44694i	0.284593	+	0.0467975i
$957$	16.6059	−	3.79019i	0.536793	−	0.122520i
$958$	49.1833	+	9.64719i	1.58904	+	0.311687i
$959$	32.8190	−	10.3436i	1.05978	−	0.334013i
$960$	1.42536	−	0.617241i	0.0460032	−	0.0199214i
$961$	−6.24557			−0.201470
$962$	−48.4851	−	21.5410i	−1.56322	−	0.694510i
$963$	−4.72270	−	1.07792i	−0.152187	−	0.0347356i
$964$	9.27799	−	22.7406i	0.298824	−	0.732425i
$965$	0.865602	−	0.690295i	0.0278647	−	0.0222214i
$966$	2.53936	+	22.6538i	0.0817027	+	0.728874i
$967$	−32.1980	−	25.6770i	−1.03542	−	0.825718i	−0.0504968	−	0.998724i	$-0.516080\pi$
$967$	−32.1980	−	25.6770i	−1.03542	−	0.825718i	−0.984921	+	0.173006i	$0.944652\pi$
$968$	2.17833	+	23.5766i	0.0700143	+	0.757781i
$969$	5.75732	+	4.59131i	0.184952	+	0.147494i
$970$	0.143155	+	4.65995i	0.00459644	+	0.149622i
$971$	−4.94811	−	6.20474i	−0.158793	−	0.199120i	0.696070	−	0.717974i	$-0.254930\pi$
$971$	−4.94811	−	6.20474i	−0.158793	−	0.199120i	−0.854863	+	0.518854i	$0.826359\pi$
$972$	0.563890	+	1.91886i	0.0180868	+	0.0615475i
$973$	−18.5753	−	12.4986i	−0.595496	−	0.400688i
$974$	6.47198	−	0.198822i	0.207376	−	0.00637066i
$975$	10.3546	−	21.5015i	0.331612	−	0.688600i
$976$	−4.97055	−	40.2589i	−0.159103	−	1.28866i
$977$	−16.4341	−	7.91427i	−0.525775	−	0.253200i	0.152116	−	0.988363i	$-0.451391\pi$
$977$	−16.4341	−	7.91427i	−0.525775	−	0.253200i	−0.677890	+	0.735163i	$0.737106\pi$
$978$	17.0425	−	8.86190i	0.544959	−	0.283372i
$979$	−2.94033			−0.0939732
$980$	−0.601830	−	2.65075i	−0.0192247	−	0.0846751i
$981$	12.3486			0.394261
$982$	−41.1436	+	21.3942i	−1.31295	+	0.682716i
$983$	−28.9911	−	13.9614i	−0.924673	−	0.445299i	−0.0899358	−	0.995948i	$-0.528666\pi$
$983$	−28.9911	−	13.9614i	−0.924673	−	0.445299i	−0.834737	+	0.550649i	$0.814380\pi$
$984$	10.0132	−	6.01491i	0.319210	−	0.191748i
$985$	−1.41299	+	2.93411i	−0.0450216	+	0.0934884i
$986$	−16.6497	+	0.511486i	−0.530235	+	0.0162890i
$987$	−2.03207	+	0.640451i	−0.0646815	+	0.0203858i
$988$	60.6085	−	17.8109i	1.92821	−	0.566639i
$989$	14.1853	+	17.7878i	0.451067	+	0.565620i
$990$	−0.0136703	−	0.444992i	−0.000434472	−	0.0141428i
$991$	−12.7354	−	10.1561i	−0.404552	−	0.322620i	0.399985	−	0.916522i	$-0.369015\pi$
$991$	−12.7354	−	10.1561i	−0.404552	−	0.322620i	−0.804538	+	0.593902i	$0.797587\pi$
$992$	19.0617	−	20.7073i	0.605211	−	0.657457i
$993$	14.8839	+	11.8695i	0.472326	+	0.376667i
$994$	−20.4757	−	32.6283i	−0.649451	−	1.03491i
$995$	−1.43473	+	1.14416i	−0.0454841	+	0.0362724i
$996$	−9.20056	−	3.75376i	−0.291531	−	0.118942i
$997$	−52.6629	−	12.0200i	−1.66785	−	0.380676i	−0.718656	−	0.695366i	$-0.755242\pi$
$997$	−52.6629	−	12.0200i	−1.66785	−	0.380676i	−0.949195	+	0.314690i	$0.898099\pi$
$998$	12.9795	+	5.76654i	0.410858	+	0.182537i
$999$	7.80070			0.246803

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.19	✓	168
4.3	odd	2		588.2.x.b.55.4	yes	168
49.41	odd	14		588.2.x.b.139.4	yes	168
196.139	even	14	inner	588.2.x.a.139.19	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.19	✓	168	1.1	even	1	trivial
588.2.x.a.139.19	yes	168	196.139	even	14	inner
588.2.x.b.55.4	yes	168	4.3	odd	2
588.2.x.b.139.4	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.652439 + 1.25472i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.14865 + 1.63726i) q^{4} +(-0.0842420 + 0.174930i) q^{5} +(-0.0434247 - 1.41355i) q^{6} +(2.61856 + 0.378316i) q^{7} +(-2.80372 - 0.373018i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(0.652439 + 1.25472i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.14865 + 1.63726i) q^{4} +(-0.0842420 + 0.174930i) q^{5} +(-0.0434247 - 1.41355i) q^{6} +(2.61856 + 0.378316i) q^{7} +(-2.80372 - 0.373018i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.274451 + 0.00843125i) q^{10} +(1.26765 + 1.01092i) q^{11} +(1.74527 - 0.976739i) q^{12} +(3.76001 + 2.99851i) q^{13} +(1.23377 + 3.53239i) q^{14} +(0.151799 - 0.121055i) q^{15} +(-1.36122 - 3.76126i) q^{16} +(1.09312 + 0.249496i) q^{17} +(-0.574191 + 1.29240i) q^{18} -6.56771 q^{19} +(-0.189642 - 0.338859i) q^{20} +(-2.19510 - 1.47700i) q^{21} +(-0.441355 + 2.25011i) q^{22} +(-5.93966 + 1.35569i) q^{23} +(2.36422 + 1.55257i) q^{24} +(3.09395 + 3.87968i) q^{25} +(-1.30911 + 6.67411i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-3.62720 + 3.85271i) q^{28} +(-2.33762 + 10.2418i) q^{29} +(0.250930 + 0.111484i) q^{30} +4.97538 q^{31} +(3.83121 - 4.16195i) q^{32} +(-0.703494 - 1.46082i) q^{33} +(0.400143 + 1.53434i) q^{34} +(-0.286772 + 0.426196i) q^{35} +(-1.99623 + 0.122766i) q^{36} +(-1.73582 + 7.60512i) q^{37} +(-4.28503 - 8.24063i) q^{38} +(-2.08665 - 4.33297i) q^{39} +(0.301443 - 0.459032i) q^{40} +(1.79187 - 3.72085i) q^{41} +(0.421057 - 3.71789i) q^{42} +(-1.62030 - 3.36458i) q^{43} +(-3.11122 + 0.914285i) q^{44} +(-0.189290 + 0.0432042i) q^{45} +(-5.57627 - 6.56810i) q^{46} +(0.502093 - 0.629604i) q^{47} +(-0.405528 + 3.97939i) q^{48} +(6.71375 + 1.98129i) q^{49} +(-2.84931 + 6.41329i) q^{50} +(-0.876611 - 0.699074i) q^{51} +(-9.22826 + 2.71188i) q^{52} +(-3.09964 - 13.5804i) q^{53} +(1.07808 - 0.915283i) q^{54} +(-0.283630 + 0.136589i) q^{55} +(-7.20061 - 2.03747i) q^{56} +(5.91730 + 2.84962i) q^{57} +(-14.3757 + 3.74908i) q^{58} +(11.7511 - 5.65905i) q^{59} +(0.0238359 + 0.387584i) q^{60} +(9.88689 + 2.25662i) q^{61} +(3.24613 + 6.24271i) q^{62} +(1.33687 + 2.28315i) q^{63} +(7.72171 + 2.09168i) q^{64} +(-0.841281 + 0.405140i) q^{65} +(1.37393 - 1.83578i) q^{66} +9.60101i q^{67} +(-1.66409 + 1.50313i) q^{68} +(5.93966 + 1.35569i) q^{69} +(-0.721858 - 0.0817516i) q^{70} +(-10.0370 + 2.29089i) q^{71} +(-1.45645 - 2.42461i) q^{72} +(2.14613 - 1.71148i) q^{73} +(-10.6748 + 2.78391i) q^{74} +(-1.10422 - 4.83789i) q^{75} +(7.54397 - 10.7530i) q^{76} +(2.93698 + 3.12673i) q^{77} +(4.07526 - 5.44517i) q^{78} -13.3933i q^{79} +(0.772630 + 0.0787365i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(5.83770 - 0.179337i) q^{82} +(-3.09776 - 3.88447i) q^{83} +(4.93963 - 1.89739i) q^{84} +(-0.135731 + 0.170201i) q^{85} +(3.16446 - 4.22821i) q^{86} +(6.54987 - 8.21328i) q^{87} +(-3.17705 - 3.30719i) q^{88} +(-1.41782 + 1.13068i) q^{89} +(-0.177709 - 0.209318i) q^{90} +(8.71145 + 9.27427i) q^{91} +(4.60295 - 11.2820i) q^{92} +(-4.48266 - 2.15874i) q^{93} +(1.11756 + 0.219207i) q^{94} +(0.553276 - 1.14889i) q^{95} +(-5.25760 + 2.08749i) q^{96} -16.9791i q^{97} +(1.89435 + 9.71655i) q^{98} +1.62139i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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