LMFDB - Embedded newform 588.2.x.a.55.17

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			55.17
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.311114 + 1.37957i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.80642 + 0.858405i) q^{4} +(0.477768 - 0.992096i) q^{5} +(0.318268 - 1.37794i) q^{6} +(-2.27188 - 1.35593i) q^{7} +(-1.74623 - 2.22501i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(0.311114 + 1.37957i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.80642 + 0.858405i) q^{4} +(0.477768 - 0.992096i) q^{5} +(0.318268 - 1.37794i) q^{6} +(-2.27188 - 1.35593i) q^{7} +(-1.74623 - 2.22501i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.51730 + 0.350459i) q^{10} +(1.30247 + 1.03868i) q^{11} +(1.99997 + 0.0103783i) q^{12} +(2.97068 + 2.36904i) q^{13} +(1.16378 - 3.55607i) q^{14} +(-0.860908 + 0.686552i) q^{15} +(2.52628 - 3.10127i) q^{16} +(4.80790 + 1.09737i) q^{17} +(-0.884614 + 1.10339i) q^{18} +4.75410 q^{19} +(-0.0114279 + 2.20226i) q^{20} +(1.45858 + 2.20738i) q^{21} +(-1.02772 + 2.11999i) q^{22} +(0.687683 - 0.156959i) q^{23} +(0.607902 + 2.76233i) q^{24} +(2.36146 + 2.96117i) q^{25} +(-2.34403 + 4.83530i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(5.26790 + 0.499177i) q^{28} +(1.26523 - 5.54334i) q^{29} +(-1.21499 - 0.974086i) q^{30} +0.923958 q^{31} +(5.06438 + 2.52033i) q^{32} +(-0.722815 - 1.50094i) q^{33} +(-0.0180952 + 6.97423i) q^{34} +(-2.43065 + 1.60611i) q^{35} +(-1.79741 - 0.877106i) q^{36} +(2.30980 - 10.1199i) q^{37} +(1.47907 + 6.55860i) q^{38} +(-1.64860 - 3.42336i) q^{39} +(-3.04172 + 0.669387i) q^{40} +(-1.93144 + 4.01068i) q^{41} +(-2.59145 + 2.69896i) q^{42} +(-1.07381 - 2.22980i) q^{43} +(-3.24441 - 0.758249i) q^{44} +(1.07354 - 0.245027i) q^{45} +(0.430484 + 0.899874i) q^{46} +(2.15096 - 2.69722i) q^{47} +(-3.62169 + 1.69804i) q^{48} +(3.32291 + 6.16103i) q^{49} +(-3.35046 + 4.17905i) q^{50} +(-3.85563 - 3.07476i) q^{51} +(-7.39989 - 1.72942i) q^{52} +(2.03963 + 8.93618i) q^{53} +(1.27575 - 0.610296i) q^{54} +(1.65275 - 0.795923i) q^{55} +(0.950269 + 7.42273i) q^{56} +(-4.28330 - 2.06273i) q^{57} +(8.04104 + 0.0208631i) q^{58} +(-10.9919 + 5.29344i) q^{59} +(0.965820 - 1.97921i) q^{60} +(-1.46080 - 0.333417i) q^{61} +(0.287456 + 1.27466i) q^{62} +(-0.356388 - 2.62164i) q^{63} +(-1.90136 + 7.77077i) q^{64} +(3.76961 - 1.81535i) q^{65} +(1.84577 - 1.46414i) q^{66} -3.80325i q^{67} +(-9.62705 + 2.14481i) q^{68} +(-0.687683 - 0.156959i) q^{69} +(-2.97194 - 2.85356i) q^{70} +(-2.52044 + 0.575275i) q^{71} +(0.650829 - 2.75253i) q^{72} +(9.44759 - 7.53420i) q^{73} +(14.6797 + 0.0380877i) q^{74} +(-0.842794 - 3.69252i) q^{75} +(-8.58788 + 4.08094i) q^{76} +(-1.55067 - 4.12582i) q^{77} +(4.20986 - 3.33942i) q^{78} -9.75534i q^{79} +(-1.86979 - 3.98800i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.13390 - 1.41678i) q^{82} +(10.3125 + 12.9314i) q^{83} +(-4.52963 - 2.73540i) q^{84} +(3.38576 - 4.24560i) q^{85} +(2.74208 - 2.17512i) q^{86} +(-3.54510 + 4.44541i) q^{87} +(0.0366760 - 4.71179i) q^{88} +(-0.468102 + 0.373299i) q^{89} +(0.672024 + 1.40478i) q^{90} +(-3.53679 - 9.41022i) q^{91} +(-1.10751 + 0.873845i) q^{92} +(-0.832457 - 0.400890i) q^{93} +(4.39019 + 2.12825i) q^{94} +(2.27136 - 4.71652i) q^{95} +(-3.46932 - 4.46809i) q^{96} -5.63973i q^{97} +(-7.46576 + 6.50096i) q^{98} +1.66592i 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 $

$2$	0.311114	+	1.37957i	0.219991	+	0.975502i
$2$	0.311114	+	1.37957i	0.219991	+	0.975502i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	−1.80642	+	0.858405i	−0.903208	+	0.429203i
$5$	0.477768	−	0.992096i	0.213664	−	0.443679i	−0.766399	−	0.642365i	$-0.777953\pi$
$5$	0.477768	−	0.992096i	0.213664	−	0.443679i	0.980063	+	0.198686i	$0.0636675\pi$
$6$	0.318268	−	1.37794i	0.129933	−	0.562540i
$7$	−2.27188	−	1.35593i	−0.858691	−	0.512493i
$7$	−2.27188	−	1.35593i	−0.858691	−	0.512493i
$8$	−1.74623	−	2.22501i	−0.617385	−	0.786661i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	1.51730	+	0.350459i	0.479814	+	0.110825i
$11$	1.30247	+	1.03868i	0.392709	+	0.313175i	0.799861	−	0.600186i	$-0.204907\pi$
$11$	1.30247	+	1.03868i	0.392709	+	0.313175i	−0.407152	+	0.913360i	$0.633478\pi$
$12$	1.99997	+	0.0103783i	0.577342	+	0.00299594i
$13$	2.97068	+	2.36904i	0.823919	+	0.657054i	0.941874	−	0.335965i	$-0.109062\pi$
$13$	2.97068	+	2.36904i	0.823919	+	0.657054i	−0.117955	+	0.993019i	$0.537634\pi$
$14$	1.16378	−	3.55607i	0.311034	−	0.950399i
$15$	−0.860908	+	0.686552i	−0.222286	+	0.177267i
$16$	2.52628	−	3.10127i	0.631570	−	0.775319i
$17$	4.80790	+	1.09737i	1.16609	+	0.266152i	0.761386	−	0.648298i	$-0.224519\pi$
$17$	4.80790	+	1.09737i	1.16609	+	0.266152i	0.404699	+	0.914450i	$0.367376\pi$
$18$	−0.884614	+	1.10339i	−0.208505	+	0.260070i
$19$	4.75410			1.09067			0.545333	−	0.838220i	$-0.316403\pi$
$19$	4.75410			1.09067			0.545333	+	0.838220i	$0.316403\pi$
$20$	−0.0114279	+	2.20226i	−0.00255537	+	0.492440i
$21$	1.45858	+	2.20738i	0.318288	+	0.481691i
$22$	−1.02772	+	2.11999i	−0.219110	+	0.451984i
$23$	0.687683	−	0.156959i	0.143392	−	0.0327283i	−0.150222	−	0.988652i	$-0.547999\pi$
$23$	0.687683	−	0.156959i	0.143392	−	0.0327283i	0.293614	+	0.955924i	$0.405142\pi$
$24$	0.607902	+	2.76233i	0.124087	+	0.563858i
$25$	2.36146	+	2.96117i	0.472291	+	0.592235i
$26$	−2.34403	+	4.83530i	−0.459703	+	0.948280i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	5.26790	+	0.499177i	0.995540	+	0.0943356i
$29$	1.26523	−	5.54334i	0.234947	−	1.02937i	−0.710526	−	0.703671i	$-0.751543\pi$
$29$	1.26523	−	5.54334i	0.234947	−	1.02937i	0.945473	−	0.325700i	$-0.105600\pi$
$30$	−1.21499	−	0.974086i	−0.221825	−	0.177843i
$31$	0.923958			0.165948			0.0829739	−	0.996552i	$-0.473558\pi$
$31$	0.923958			0.165948			0.0829739	+	0.996552i	$0.473558\pi$
$32$	5.06438	+	2.52033i	0.895264	+	0.445535i
$33$	−0.722815	−	1.50094i	−0.125826	−	0.261280i
$34$	−0.0180952	+	6.97423i	−0.00310330	+	1.19607i
$35$	−2.43065	+	1.60611i	−0.410854	+	0.271481i
$36$	−1.79741	−	0.877106i	−0.299568	−	0.146184i
$37$	2.30980	−	10.1199i	0.379729	−	1.66370i	−0.318572	−	0.947899i	$-0.603203\pi$
$37$	2.30980	−	10.1199i	0.379729	−	1.66370i	0.698302	−	0.715804i	$-0.253939\pi$
$38$	1.47907	+	6.55860i	0.239936	+	1.06395i
$39$	−1.64860	−	3.42336i	−0.263988	−	0.548177i
$40$	−3.04172	+	0.669387i	−0.480938	+	0.105839i
$41$	−1.93144	+	4.01068i	−0.301640	+	0.626363i	−0.995606	−	0.0936458i	$-0.970148\pi$
$41$	−1.93144	+	4.01068i	−0.301640	+	0.626363i	0.693965	+	0.720009i	$0.255862\pi$
$42$	−2.59145	+	2.69896i	−0.399870	+	0.416458i
$43$	−1.07381	−	2.22980i	−0.163755	−	0.340041i	0.802904	−	0.596109i	$-0.203287\pi$
$43$	−1.07381	−	2.22980i	−0.163755	−	0.340041i	−0.966659	+	0.256068i	$0.917573\pi$
$44$	−3.24441	−	0.758249i	−0.489113	−	0.114310i
$45$	1.07354	−	0.245027i	0.160033	−	0.0365265i
$46$	0.430484	+	0.899874i	0.0634714	+	0.132679i
$47$	2.15096	−	2.69722i	0.313750	−	0.393429i	−0.599805	−	0.800146i	$-0.704755\pi$
$47$	2.15096	−	2.69722i	0.313750	−	0.393429i	0.913554	+	0.406717i	$0.133326\pi$
$48$	−3.62169	+	1.69804i	−0.522746	+	0.245091i
$49$	3.32291	+	6.16103i	0.474701	+	0.880147i
$50$	−3.35046	+	4.17905i	−0.473826	+	0.591007i
$51$	−3.85563	−	3.07476i	−0.539897	−	0.430553i
$52$	−7.39989	−	1.72942i	−1.02618	−	0.239828i
$53$	2.03963	+	8.93618i	0.280164	+	1.22748i	0.897583	+	0.440845i	$0.145321\pi$
$53$	2.03963	+	8.93618i	0.280164	+	1.22748i	−0.617419	+	0.786634i	$0.711822\pi$
$54$	1.27575	−	0.610296i	0.173608	−	0.0830508i
$55$	1.65275	−	0.795923i	0.222857	−	0.107322i
$56$	0.950269	+	7.42273i	0.126985	+	0.991905i
$57$	−4.28330	−	2.06273i	−0.567336	−	0.273215i
$58$	8.04104	+	0.0208631i	1.05584	+	0.00273946i
$59$	−10.9919	+	5.29344i	−1.43103	+	0.689148i	−0.979189	−	0.202951i	$-0.934947\pi$
$59$	−10.9919	+	5.29344i	−1.43103	+	0.689148i	−0.451841	+	0.892098i	$0.649233\pi$
$60$	0.965820	−	1.97921i	0.124687	−	0.255514i
$61$	−1.46080	−	0.333417i	−0.187036	−	0.0426897i	0.127977	−	0.991777i	$-0.459152\pi$
$61$	−1.46080	−	0.333417i	−0.187036	−	0.0426897i	−0.315013	+	0.949087i	$0.602009\pi$
$62$	0.287456	+	1.27466i	0.0365070	+	0.161882i
$63$	−0.356388	−	2.62164i	−0.0449006	−	0.330295i
$64$	−1.90136	+	7.77077i	−0.237671	+	0.971346i
$65$	3.76961	−	1.81535i	0.467563	−	0.225166i
$66$	1.84577	−	1.46414i	0.227199	−	0.180223i
$67$		−	3.80325i		−	0.464641i	−0.972639	−	0.232321i	$-0.925368\pi$
$67$		−	3.80325i		−	0.464641i	0.972639	−	0.232321i	$-0.0746319\pi$
$68$	−9.62705	+	2.14481i	−1.16745	+	0.260097i
$69$	−0.687683	−	0.156959i	−0.0827874	−	0.0188957i
$70$	−2.97194	−	2.85356i	−0.355215	−	0.341066i
$71$	−2.52044	+	0.575275i	−0.299122	+	0.0682726i	−0.369448	−	0.929251i	$-0.620453\pi$
$71$	−2.52044	+	0.575275i	−0.299122	+	0.0682726i	0.0703261	+	0.997524i	$0.477596\pi$
$72$	0.650829	−	2.75253i	0.0767009	−	0.324389i
$73$	9.44759	−	7.53420i	1.10576	−	0.881811i	0.112036	−	0.993704i	$-0.464263\pi$
$73$	9.44759	−	7.53420i	1.10576	−	0.881811i	0.993720	+	0.111893i	$0.0356913\pi$
$74$	14.6797	+	0.0380877i	1.70648	+	0.00442761i
$75$	−0.842794	−	3.69252i	−0.0973175	−	0.426376i
$76$	−8.58788	+	4.08094i	−0.985098	+	0.468116i
$77$	−1.55067	−	4.12582i	−0.176716	−	0.470181i
$78$	4.20986	−	3.33942i	0.476673	−	0.378115i
$79$		−	9.75534i		−	1.09756i	−0.835966	−	0.548781i	$-0.815092\pi$
$79$		−	9.75534i		−	1.09756i	0.835966	−	0.548781i	$-0.184908\pi$
$80$	−1.86979	−	3.98800i	−0.209048	−	0.445872i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−6.13390	−	1.41678i	−0.677376	−	0.156457i
$83$	10.3125	+	12.9314i	1.13194	+	1.41941i	0.893966	+	0.448134i	$0.147911\pi$
$83$	10.3125	+	12.9314i	1.13194	+	1.41941i	0.237972	+	0.971272i	$0.423517\pi$
$84$	−4.52963	−	2.73540i	−0.494224	−	0.298457i
$85$	3.38576	−	4.24560i	0.367237	−	0.460500i
$86$	2.74208	−	2.17512i	0.295686	−	0.234549i
$87$	−3.54510	+	4.44541i	−0.380074	+	0.476598i
$88$	0.0366760	−	4.71179i	0.00390967	−	0.502278i
$89$	−0.468102	+	0.373299i	−0.0496187	+	0.0395696i	−0.647985	−	0.761653i	$-0.724388\pi$
$89$	−0.468102	+	0.373299i	−0.0496187	+	0.0395696i	0.598366	+	0.801223i	$0.295817\pi$
$90$	0.672024	+	1.40478i	0.0708375	+	0.148077i
$91$	−3.53679	−	9.41022i	−0.370757	−	0.986459i
$92$	−1.10751	+	0.873845i	−0.115466	+	0.0911046i
$93$	−0.832457	−	0.400890i	−0.0863218	−	0.0415704i
$94$	4.39019	+	2.12825i	0.452813	+	0.219512i
$95$	2.27136	−	4.71652i	0.233036	−	0.483905i
$96$	−3.46932	−	4.46809i	−0.354086	−	0.456022i
$97$		−	5.63973i		−	0.572628i	−0.958136	−	0.286314i	$-0.907570\pi$
$97$		−	5.63973i		−	0.572628i	0.958136	−	0.286314i	$-0.0924301\pi$
$98$	−7.46576	+	6.50096i	−0.754155	+	0.656696i
$99$			1.66592i			0.167431i
$100$	−6.80766	−	3.32203i	−0.680766	−	0.332203i
$101$	−7.95176	+	16.5120i	−0.791229	+	1.64300i	−0.0256429	+	0.999671i	$0.508163\pi$
$101$	−7.95176	+	16.5120i	−0.791229	+	1.64300i	−0.765586	+	0.643333i	$0.777551\pi$
$102$	3.04231	−	6.27571i	0.301233	−	0.621388i
$103$	−2.33791	−	1.12588i	−0.230361	−	0.110936i	0.315143	−	0.949044i	$-0.397947\pi$
$103$	−2.33791	−	1.12588i	−0.230361	−	0.110936i	−0.545504	+	0.838108i	$0.683662\pi$
$104$	0.0836510	−	10.7467i	0.00820266	−	1.05380i
$105$	2.88680	−	0.392434i	0.281723	−	0.0382976i
$106$	−11.6935	+	5.59397i	−1.13577	+	0.543335i
$107$	5.75973	−	4.59323i	0.556815	−	0.444045i	−0.304212	−	0.952604i	$-0.598393\pi$
$107$	5.75973	−	4.59323i	0.556815	−	0.444045i	0.861027	+	0.508559i	$0.169822\pi$
$108$	1.23885	+	1.57011i	0.119208	+	0.151084i
$109$	1.50332	−	1.88510i	0.143992	−	0.180560i	−0.704606	−	0.709599i	$-0.748876\pi$
$109$	1.50332	−	1.88510i	0.143992	−	0.180560i	0.848597	+	0.529039i	$0.177448\pi$
$110$	1.61222	+	2.03246i	0.153719	+	0.193787i
$111$	−6.47192	+	8.11553i	−0.614288	+	0.770292i
$112$	−9.94453	+	3.62028i	−0.939669	+	0.342084i
$113$	−11.2515	−	14.1089i	−1.05845	−	1.32726i	−0.942576	−	0.333991i	$-0.891604\pi$
$113$	−11.2515	−	14.1089i	−1.05845	−	1.32726i	−0.115874	−	0.993264i	$-0.536967\pi$
$114$	1.51308	−	6.55084i	0.141713	−	0.613542i
$115$	0.172835	−	0.757238i	0.0161169	−	0.0706128i
$116$	2.47290	+	11.0997i	0.229603	+	1.03058i
$117$			3.79965i			0.351277i
$118$	−10.7224	−	13.5173i	−0.987078	−	1.24437i
$119$	−9.43502	−	9.01227i	−0.864907	−	0.826153i
$120$	3.03093	+	0.716656i	0.276685	+	0.0654214i
$121$	−1.83017	−	8.01851i	−0.166379	−	0.728955i
$122$	0.00549791	−	2.11900i	0.000497757	−	0.191845i
$123$	3.48034	−	2.77548i	0.313811	−	0.250256i
$124$	−1.66905	+	0.793131i	−0.149885	+	0.0712252i
$125$	9.43367	−	2.15317i	0.843773	−	0.192586i
$126$	3.50585	−	1.30729i	0.312326	−	0.116463i
$127$	11.7031	+	2.67116i	1.03848	+	0.237027i	0.707576	−	0.706637i	$-0.249789\pi$
$127$	11.7031	+	2.67116i	1.03848	+	0.237027i	0.330906	+	0.943664i	$0.392646\pi$
$128$	−11.3118	−	0.205469i	−0.999835	−	0.0181610i
$129$			2.47489i			0.217902i
$130$	3.67718	+	4.63566i	0.322510	+	0.406574i
$131$	−4.87113	+	2.34581i	−0.425593	+	0.204955i	−0.634405	−	0.773001i	$-0.718755\pi$
$131$	−4.87113	+	2.34581i	−0.425593	+	0.204955i	0.208812	+	0.977956i	$0.433040\pi$
$132$	2.59412	+	2.09086i	0.225789	+	0.181986i
$133$	−10.8008	−	6.44622i	−0.936545	−	0.558959i
$134$	5.24685	−	1.18324i	0.453259	−	0.102217i
$135$	−1.07354	−	0.245027i	−0.0923952	−	0.0210886i
$136$	−5.95403	−	12.6139i	−0.510553	−	1.08163i
$137$	−9.64836	+	4.64641i	−0.824315	+	0.396969i	−0.797980	−	0.602684i	$-0.794098\pi$
$137$	−9.64836	+	4.64641i	−0.824315	+	0.396969i	−0.0263352	+	0.999653i	$0.508384\pi$
$138$	0.00258819	−	0.997538i	0.000220322	−	0.0849161i
$139$	19.2896	+	9.28936i	1.63612	+	0.787914i	0.999865	+	0.0164342i	$0.00523142\pi$
$139$	19.2896	+	9.28936i	1.63612	+	0.787914i	0.636254	+	0.771479i	$0.280483\pi$
$140$	3.01207	−	4.98778i	0.254566	−	0.421544i
$141$	−3.10823	+	1.49684i	−0.261760	+	0.126057i
$142$	−1.57778	−	3.29815i	−0.132404	−	0.276774i
$143$	1.40854	+	6.17120i	0.117788	+	0.516061i
$144$	3.99978	+	0.0415125i	0.333315	+	0.00345937i
$145$	−4.89503	−	3.90366i	−0.406510	−	0.324181i
$146$	13.3332	+	10.6896i	1.10346	+	0.884677i
$147$	−0.320668	−	6.99265i	−0.0264482	−	0.576744i
$148$	4.51452	+	20.2635i	0.371091	+	1.66565i
$149$	−4.07343	+	5.10792i	−0.333709	+	0.418457i	−0.920169	−	0.391520i	$-0.871949\pi$
$149$	−4.07343	+	5.10792i	−0.333709	+	0.418457i	0.586461	+	0.809977i	$0.300521\pi$
$150$	4.83188	−	2.31149i	0.394522	−	0.188732i
$151$	4.20290	−	0.959285i	0.342027	−	0.0780655i	−0.0480572	−	0.998845i	$-0.515303\pi$
$151$	4.20290	−	0.959285i	0.342027	−	0.0780655i	0.390084	+	0.920779i	$0.372446\pi$
$152$	−8.30175	−	10.5779i	−0.673361	−	0.857983i
$153$	2.13971	+	4.44316i	0.172986	+	0.359208i
$154$	5.20942	−	3.42286i	0.419787	−	0.275822i
$155$	0.441438	−	0.916655i	0.0354571	−	0.0736275i
$156$	5.91670	+	4.76885i	0.473715	+	0.381813i
$157$	−3.65606	−	7.59189i	−0.291785	−	0.605899i	0.702616	−	0.711570i	$-0.252015\pi$
$157$	−3.65606	−	7.59189i	−0.291785	−	0.605899i	−0.994401	+	0.105671i	$0.966301\pi$
$158$	13.4582	−	3.03502i	1.07067	−	0.241453i
$159$	2.03963	−	8.93618i	0.161753	−	0.708685i
$160$	4.92001	−	3.82022i	0.388961	−	0.302015i
$161$	−1.77516	−	0.575857i	−0.139902	−	0.0453839i
$162$	−1.41421	−	0.00366928i	−0.111111	−	0.000288286i
$163$	9.39553	+	19.5100i	0.735914	+	1.52814i	0.845388	+	0.534152i	$0.179369\pi$
$163$	9.39553	+	19.5100i	0.735914	+	1.52814i	−0.109474	+	0.993990i	$0.534917\pi$
$164$	0.0461990	−	8.90292i	0.00360753	−	0.695201i
$165$	−1.83441			−0.142809
$166$	−14.6314	+	18.2499i	−1.13562	+	1.41646i
$167$	1.03499	−	4.53459i	0.0800899	−	0.350897i	−0.918966	−	0.394336i	$-0.870974\pi$
$167$	1.03499	−	4.53459i	0.0800899	−	0.350897i	0.999056	+	0.0434396i	$0.0138316\pi$
$168$	2.36444	−	7.09996i	0.182421	−	0.547774i
$169$	0.319831	+	1.40127i	0.0246024	+	0.107790i
$170$	6.91046	+	3.35002i	0.530008	+	0.256934i
$171$	2.96413	+	3.71690i	0.226673	+	0.284239i
$172$	3.85383	+	3.10618i	0.293852	+	0.236844i
$173$	2.12438	−	0.484876i	0.161514	−	0.0368644i	−0.140999	−	0.990010i	$-0.545032\pi$
$173$	2.12438	−	0.484876i	0.161514	−	0.0368644i	0.302513	+	0.953145i	$0.402174\pi$
$174$	−7.23567	−	3.50767i	−0.548535	−	0.265916i
$175$	−1.34981	−	9.92941i	−0.102036	−	0.750593i
$176$	6.51164	−	1.41530i	0.490833	−	0.106683i
$177$	12.2001			0.917019
$178$	−0.660624	−	0.529640i	−0.0495158	−	0.0396982i
$179$	17.8481	+	4.07372i	1.33403	+	0.304484i	0.829306	−	0.558795i	$-0.188736\pi$
$179$	17.8481	+	4.07372i	1.33403	+	0.304484i	0.504727	+	0.863279i	$0.331593\pi$
$180$	−1.72892	+	1.36415i	−0.128866	+	0.101678i
$181$	−9.42031	+	7.51244i	−0.700206	+	0.558396i	−0.907587	−	0.419865i	$-0.862078\pi$
$181$	−9.42031	+	7.51244i	−0.700206	+	0.558396i	0.207381	+	0.978260i	$0.433506\pi$
$182$	11.8817	−	7.80690i	0.880730	−	0.578686i
$183$	1.17147	+	0.934213i	0.0865973	+	0.0690590i
$184$	−1.55009	−	1.25602i	−0.114274	−	0.0925948i
$185$	−8.93637	−	7.12651i	−0.657015	−	0.523952i
$186$	0.294067	−	1.27315i	0.0215620	−	0.0933522i
$187$	5.12231	+	6.42317i	0.374580	+	0.469709i
$188$	−1.57022	+	6.71869i	−0.114520	+	0.490011i
$189$	−0.816392	+	2.51665i	−0.0593838	+	0.183059i
$190$	7.21341	+	1.66612i	0.523316	+	0.120873i
$191$	3.10491	−	6.44742i	0.224664	−	0.466519i	−0.757918	−	0.652350i	$-0.773783\pi$
$191$	3.10491	−	6.44742i	0.224664	−	0.466519i	0.982582	+	0.185831i	$0.0594976\pi$
$192$	5.08468	−	6.17625i	0.366955	−	0.445732i
$193$	−20.1531	−	9.70520i	−1.45065	−	0.698595i	−0.467941	−	0.883760i	$-0.655004\pi$
$193$	−20.1531	−	9.70520i	−1.45065	−	0.698595i	−0.982708	+	0.185164i	$0.940718\pi$
$194$	7.78040	−	1.75460i	0.558600	−	0.125973i
$195$	−4.18395			−0.299619
$196$	−11.2912	−	8.27698i	−0.806516	−	0.591213i
$197$	3.04417			0.216888			0.108444	−	0.994103i	$-0.465413\pi$
$197$	3.04417			0.216888			0.108444	+	0.994103i	$0.465413\pi$
$198$	−2.29825	+	0.518290i	−0.163329	+	0.0368333i
$199$	−3.18293	−	1.53282i	−0.225632	−	0.108659i	0.317653	−	0.948207i	$-0.397105\pi$
$199$	−3.18293	−	1.53282i	−0.225632	−	0.108659i	−0.543285	+	0.839548i	$0.682820\pi$
$200$	2.46500	−	10.4252i	0.174302	−	0.737170i
$201$	−1.65017	+	3.42661i	−0.116394	+	0.241695i
$202$	−25.2533	−	5.83288i	−1.77682	−	0.410400i
$203$	−10.3908	+	10.8782i	−0.729293	+	0.763503i
$204$	9.60427	+	2.24461i	0.672434	+	0.157154i
$205$	3.05620	+	3.83235i	0.213454	+	0.267663i
$206$	0.825869	−	3.57558i	0.0575410	−	0.249122i
$207$	0.551479	+	0.439790i	0.0383305	+	0.0305675i
$208$	14.8518	−	3.22804i	1.02979	−	0.223825i
$209$	6.19206	+	4.93800i	0.428314	+	0.341569i
$210$	1.43951	+	3.86044i	0.0993358	+	0.266396i
$211$	−11.9773	+	9.55156i	−0.824550	+	0.657556i	−0.942034	−	0.335518i	$-0.891089\pi$
$211$	−11.9773	+	9.55156i	−0.824550	+	0.657556i	0.117484	+	0.993075i	$0.462517\pi$
$212$	−11.3553	−	14.3916i	−0.779884	−	0.988422i
$213$	2.52044	+	0.575275i	0.172698	+	0.0394172i
$214$	8.12861	+	6.51693i	0.555661	+	0.445488i
$215$	−2.72521			−0.185858
$216$	−1.78065	+	2.19756i	−0.121158	+	0.149525i
$217$	−2.09913	−	1.25282i	−0.142498	−	0.0850471i
$218$	3.06833	+	1.48745i	0.207814	+	0.100743i
$219$	−11.7810	+	2.68893i	−0.796083	+	0.181701i
$220$	−2.30233	+	2.85650i	−0.155223	+	0.192585i
$221$	11.6830	+	14.6500i	0.785885	+	0.985468i
$222$	−13.2094	−	6.40360i	−0.886559	−	0.429782i
$223$	3.35634	+	14.7051i	0.224757	+	0.984725i	0.953844	+	0.300303i	$0.0970879\pi$
$223$	3.35634	+	14.7051i	0.224757	+	0.984725i	−0.729087	+	0.684421i	$0.760055\pi$
$224$	−8.08830	−	12.5928i	−0.540422	−	0.841394i
$225$	−0.842794	+	3.69252i	−0.0561863	+	0.246168i
$226$	15.9637	−	19.9117i	1.06189	−	1.32450i
$227$	−13.9614			−0.926654			−0.463327	−	0.886187i	$-0.653344\pi$
$227$	−13.9614			−0.926654			−0.463327	+	0.886187i	$0.653344\pi$
$228$	9.50807	+	0.0493393i	0.629687	+	0.00326757i
$229$	−0.788267	−	1.63685i	−0.0520902	−	0.108166i	0.873299	−	0.487184i	$-0.161976\pi$
$229$	−0.788267	−	1.63685i	−0.0520902	−	0.108166i	−0.925389	+	0.379018i	$0.876262\pi$
$230$	1.09843	+	0.00284997i	0.0724285	+	0.000187922i
$231$	−0.393019	+	4.39005i	−0.0258587	+	0.288844i
$232$	−14.5434	+	6.86478i	−0.954819	+	0.450695i
$233$	−0.435572	+	1.90836i	−0.0285353	+	0.125021i	−0.987189	−	0.159552i	$-0.948995\pi$
$233$	−0.435572	+	1.90836i	−0.0285353	+	0.125021i	0.958654	+	0.284574i	$0.0918520\pi$
$234$	−5.24187	+	1.18212i	−0.342672	+	0.0772777i
$235$	−1.64824	−	3.42260i	−0.107519	−	0.223266i
$236$	15.3121	−	18.9977i	0.996734	−	1.23665i
$237$	−4.23268	+	8.78926i	−0.274942	+	0.570924i
$238$	9.49767	−	15.8201i	0.615643	−	1.02546i
$239$	−7.36156	−	15.2864i	−0.476180	−	0.988798i	−0.991293	−	0.131675i	$-0.957964\pi$
$239$	−7.36156	−	15.2864i	−0.476180	−	0.988798i	0.515113	−	0.857122i	$-0.327750\pi$
$240$	−0.0457112	+	4.40434i	−0.00295064	+	0.284299i
$241$	−0.848820	+	0.193738i	−0.0546773	+	0.0124797i	−0.249772	−	0.968305i	$-0.580356\pi$
$241$	−0.848820	+	0.193738i	−0.0546773	+	0.0124797i	0.195095	+	0.980784i	$0.437499\pi$
$242$	10.4927	−	5.01951i	0.674495	−	0.322667i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	2.92501	−	0.651664i	0.187255	−	0.0417185i
$245$	7.69991	−	0.353101i	0.491929	−	0.0225588i
$246$	4.91174	+	3.93787i	0.313161	+	0.251070i
$247$	14.1229	+	11.2627i	0.898620	+	0.716625i
$248$	−1.61344	−	2.05582i	−0.102454	−	0.130545i
$249$	−3.68047	−	16.1252i	−0.233240	−	1.02189i
$250$	5.90540	+	12.3445i	0.373490	+	0.780736i
$251$	−23.2284	+	11.1862i	−1.46616	+	0.706066i	−0.985316	−	0.170739i	$-0.945384\pi$
$251$	−23.2284	+	11.1862i	−1.46616	+	0.706066i	−0.480845	+	0.876805i	$0.659670\pi$
$252$	2.89421	+	4.42985i	0.182318	+	0.279054i
$253$	1.05872	+	0.509851i	0.0665609	+	0.0320540i
$254$	−0.0440463	+	16.9763i	−0.00276371	+	1.06518i
$255$	−4.89256	+	2.35613i	−0.306384	+	0.147547i
$256$	−3.23581	−	15.6694i	−0.202238	−	0.979336i
$257$	1.19958	+	0.273796i	0.0748277	+	0.0170789i	0.259771	−	0.965670i	$-0.416353\pi$
$257$	1.19958	+	0.273796i	0.0748277	+	0.0170789i	−0.184943	+	0.982749i	$0.559210\pi$
$258$	−3.41428	+	0.769973i	−0.212564	+	0.0479364i
$259$	−18.9695	+	19.8593i	−1.17871	+	1.23400i
$260$	−5.25118	+	6.51513i	−0.325665	+	0.404051i
$261$	5.12281	−	2.46702i	0.317094	−	0.152704i
$262$	−4.75169	−	5.99024i	−0.293560	−	0.370078i
$263$		−	9.47880i		−	0.584488i	−0.956344	−	0.292244i	$-0.905598\pi$
$263$		−	9.47880i		−	0.584488i	0.956344	−	0.292244i	$-0.0944019\pi$
$264$	−2.07741	+	4.22926i	−0.127856	+	0.260293i
$265$	9.84002	+	2.24592i	0.604467	+	0.137966i
$266$	5.53274	−	16.9059i	0.339234	−	1.03657i
$267$	0.583713	−	0.133229i	0.0357227	−	0.00815346i
$268$	3.26473	+	6.87026i	0.199425	+	0.419668i
$269$	1.63184	−	1.30135i	0.0994948	−	0.0793444i	−0.572479	−	0.819919i	$-0.694018\pi$
$269$	1.63184	−	1.30135i	0.0994948	−	0.0793444i	0.671974	+	0.740575i	$0.265447\pi$
$270$	0.00404040	−	1.55725i	0.000245891	−	0.0947710i
$271$	−0.568840	−	2.49225i	−0.0345546	−	0.151394i	0.954707	−	0.297546i	$-0.0961682\pi$
$271$	−0.568840	−	2.49225i	−0.0345546	−	0.151394i	−0.989262	+	0.146152i	$0.953311\pi$
$272$	15.5493	−	12.1383i	0.942817	−	0.735995i
$273$	−0.896402	+	10.0129i	−0.0542527	+	0.606007i
$274$	−9.41177	−	11.8650i	−0.568586	−	0.716792i
$275$			6.30964i			0.380485i
$276$	1.37698	−	0.306777i	0.0828843	−	0.0184658i
$277$	−6.67069	+	29.2262i	−0.400803	+	1.75603i	0.223359	+	0.974736i	$0.428298\pi$
$277$	−6.67069	+	29.2262i	−0.400803	+	1.75603i	−0.624162	+	0.781295i	$0.714559\pi$
$278$	−6.81406	+	29.5013i	−0.408680	+	1.76937i
$279$	0.576078	+	0.722380i	0.0344889	+	0.0432477i
$280$	7.81807	+	2.60359i	0.467219	+	0.155594i
$281$	−16.9002	+	21.1922i	−1.00818	+	1.26422i	−0.0439881	+	0.999032i	$0.514006\pi$
$281$	−16.9002	+	21.1922i	−1.00818	+	1.26422i	−0.964196	+	0.265191i	$0.914565\pi$
$282$	−3.03201	−	3.82232i	−0.180553	−	0.227616i
$283$	−13.5924	+	17.0443i	−0.807982	+	1.01318i	0.191516	+	0.981490i	$0.438660\pi$
$283$	−13.5924	+	17.0443i	−0.807982	+	1.01318i	−0.999498	+	0.0316878i	$0.989912\pi$
$284$	4.05915	−	3.20275i	0.240866	−	0.190048i
$285$	−4.09284	+	3.26393i	−0.242439	+	0.193339i
$286$	−8.07537	+	3.86311i	−0.477507	+	0.228431i
$287$	9.82621	−	6.49290i	0.580023	−	0.383264i
$288$	1.18712	+	5.53089i	0.0699516	+	0.325911i
$289$	6.59516	+	3.17606i	0.387951	+	0.186827i
$290$	3.86245	−	7.96751i	0.226811	−	0.467869i
$291$	−2.44699	+	5.08122i	−0.143445	+	0.297867i
$292$	−10.5989	+	21.7198i	−0.620253	+	1.27105i
$293$		−	18.6200i		−	1.08779i	−0.839152	−	0.543897i	$-0.816948\pi$
$293$		−	18.6200i		−	1.08779i	0.839152	−	0.543897i	$-0.183052\pi$
$294$	9.54707	−	2.61789i	0.556797	−	0.152679i
$295$			13.4341i			0.782164i
$296$	−26.5504	+	12.5323i	−1.54321	+	0.728427i
$297$	0.722815	−	1.50094i	0.0419420	−	0.0870934i
$298$	−8.31403	−	4.03043i	−0.481619	−	0.233477i
$299$	2.41473	+	1.16287i	0.139648	+	0.0672507i
$300$	4.69212	+	5.94678i	0.270900	+	0.343337i
$301$	−0.583869	+	6.52186i	−0.0336537	+	0.375914i
$302$	2.63098	+	5.49974i	0.151396	+	0.316475i
$303$	14.3286	−	11.4267i	0.823155	−	0.656444i
$304$	12.0102	−	14.7438i	0.688832	−	0.845613i
$305$	−1.02870	+	1.28995i	−0.0589034	+	0.0738625i
$306$	−5.46395	+	4.33421i	−0.312353	+	0.247770i
$307$	17.2921	−	21.6837i	0.986915	−	1.23755i	0.0155697	−	0.999879i	$-0.495044\pi$
$307$	17.2921	−	21.6837i	0.986915	−	1.23755i	0.971345	−	0.237673i	$-0.0763848\pi$
$308$	6.34279	+	6.12184i	0.361414	+	0.348824i
$309$	1.61788	+	2.02876i	0.0920381	+	0.115412i
$310$	1.40193	+	0.323809i	0.0796240	+	0.0183911i
$311$	−2.52659	+	11.0697i	−0.143270	+	0.627706i	0.851393	+	0.524528i	$0.175758\pi$
$311$	−2.52659	+	11.0697i	−0.143270	+	0.627706i	−0.994663	+	0.103178i	$0.967099\pi$
$312$	−4.73818	+	9.64614i	−0.268247	+	0.546105i
$313$		−	19.6867i		−	1.11276i	−0.830928	−	0.556379i	$-0.812190\pi$
$313$		−	19.6867i		−	1.11276i	0.830928	−	0.556379i	$-0.187810\pi$
$314$	9.33608	−	7.40573i	0.526865	−	0.417929i
$315$	−2.77119	−	0.898965i	−0.156139	−	0.0506509i
$316$	8.37403	+	17.6222i	0.471076	+	0.991326i
$317$	−2.20791	−	9.67349i	−0.124009	−	0.543317i	−0.998319	−	0.0579509i	$-0.981543\pi$
$317$	−2.20791	−	9.67349i	−0.124009	−	0.543317i	0.874311	−	0.485367i	$-0.161314\pi$
$318$	12.9626	+	0.0336326i	0.726908	+	0.00188602i
$319$	7.40569	−	5.90584i	0.414639	−	0.330664i
$320$	6.80093	+	5.59896i	0.380184	+	0.312991i
$321$	−7.18227	+	1.63931i	−0.400875	+	0.0914972i
$322$	0.242157	−	2.62811i	0.0134949	−	0.146459i
$323$	22.8572	+	5.21701i	1.27181	+	0.290282i
$324$	−0.434918	−	1.95214i	−0.0241621	−	0.108452i
$325$			14.3911i			0.798274i
$326$	−23.9923	+	19.0316i	−1.32881	+	1.05406i
$327$	−2.17236	+	1.04615i	−0.120132	+	0.0578524i
$328$	12.2966	−	2.70609i	0.678964	−	0.149419i
$329$	−8.54396	+	3.21121i	−0.471044	+	0.177040i
$330$	−0.570712	−	2.53070i	−0.0314166	−	0.139310i
$331$	25.6987	+	5.86557i	1.41253	+	0.322401i	0.859660	−	0.510867i	$-0.170675\pi$
$331$	25.6987	+	5.86557i	1.41253	+	0.322401i	0.552870	+	0.833267i	$0.313533\pi$
$332$	−29.7290	−	14.5072i	−1.63159	−	0.796188i
$333$	9.35220	−	4.50378i	0.512497	−	0.246806i
$334$	6.57777	+	0.0170666i	0.359920	+	0.000933840i
$335$	−3.77319	−	1.81707i	−0.206152	−	0.0992773i
$336$	10.5305	+	1.05301i	0.574485	+	0.0574465i
$337$	−1.71631	+	0.826532i	−0.0934934	+	0.0450241i	−0.480046	−	0.877243i	$-0.659380\pi$
$337$	−1.71631	+	0.826532i	−0.0934934	+	0.0450241i	0.386553	+	0.922267i	$0.373666\pi$
$338$	−1.83365	+	0.877185i	−0.0997373	+	0.0477125i
$339$	4.01561	+	17.5935i	0.218098	+	0.955549i
$340$	−2.47164	+	10.5757i	−0.134043	+	0.573547i
$341$	1.20343	+	0.959700i	0.0651691	+	0.0519706i
$342$	−4.20554	+	5.24560i	−0.227410	+	0.283650i
$343$	0.804659	−	18.5028i	0.0434475	−	0.999056i
$344$	−3.08621	+	6.28299i	−0.166397	+	0.338756i
$345$	−0.484272	+	0.607258i	−0.0260723	+	0.0326937i
$346$	1.32984	+	2.77988i	0.0714929	+	0.149447i
$347$	−15.0020	+	3.42412i	−0.805351	+	0.183816i	−0.605329	−	0.795975i	$-0.706959\pi$
$347$	−15.0020	+	3.42412i	−0.805351	+	0.183816i	−0.200022	+	0.979791i	$0.564101\pi$
$348$	2.58796	−	11.0734i	0.138729	−	0.593596i
$349$	4.79383	+	9.95450i	0.256608	+	0.532852i	0.988979	−	0.148053i	$-0.0473007\pi$
$349$	4.79383	+	9.95450i	0.256608	+	0.532852i	−0.732371	+	0.680905i	$0.761586\pi$
$350$	13.2784	−	4.95134i	0.709758	−	0.264660i
$351$	1.64860	−	3.42336i	0.0879960	−	0.182726i
$352$	3.97837	+	8.54293i	0.212048	+	0.455340i
$353$	15.1017	+	31.3591i	0.803785	+	1.66908i	0.741437	+	0.671022i	$0.234144\pi$
$353$	15.1017	+	31.3591i	0.803785	+	1.66908i	0.0623475	+	0.998055i	$0.480141\pi$
$354$	3.79563	+	16.8309i	0.201736	+	0.894554i
$355$	−0.633460	+	2.77537i	−0.0336206	+	0.147301i
$356$	0.525145	−	1.07615i	0.0278326	−	0.0570360i
$357$	4.59038	+	12.2135i	0.242949	+	0.646406i
$358$	−0.0671740	+	25.8901i	−0.00355026	+	1.36834i
$359$	0.148534	+	0.308434i	0.00783933	+	0.0162785i	0.904852	−	0.425727i	$-0.139982\pi$
$359$	0.148534	+	0.308434i	0.00783933	+	0.0162785i	−0.897012	+	0.442005i	$0.854267\pi$
$360$	−2.41983	−	1.96076i	−0.127536	−	0.103341i
$361$	3.60146			0.189550
$362$	−13.2947	−	10.6587i	−0.698755	−	0.560210i
$363$	−1.83017	+	8.01851i	−0.0960591	+	0.420862i
$364$	14.4667	+	13.9628i	0.758261	+	0.731848i
$365$	−2.96089	−	12.9725i	−0.154980	−	0.679012i
$366$	−0.924352	+	1.90676i	−0.0483166	+	0.0996682i
$367$	−12.2642	−	15.3788i	−0.640186	−	0.802768i	0.350840	−	0.936435i	$-0.385896\pi$
$367$	−12.2642	−	15.3788i	−0.640186	−	0.802768i	−0.991026	+	0.133667i	$0.957325\pi$
$368$	1.25051	−	2.52922i	0.0651872	−	0.131845i
$369$	−4.33991	+	0.990556i	−0.225927	+	0.0515663i
$370$	7.05128	−	14.5455i	0.366579	−	0.756184i
$371$	7.48304	−	23.0676i	0.388500	−	1.19761i
$372$	1.84789	+	0.00958907i	0.0958087	+	0.000497170i
$373$	−18.8281			−0.974884			−0.487442	−	0.873155i	$-0.662070\pi$
$373$	−18.8281			−0.974884			−0.487442	+	0.873155i	$0.662070\pi$
$374$	−7.26758	+	9.06491i	−0.375798	+	0.468735i
$375$	−9.43367	−	2.15317i	−0.487153	−	0.111189i
$376$	−9.75741	−	0.0759505i	−0.503200	−	0.00391685i
$377$	16.8910	−	13.4701i	0.869930	−	0.693746i
$378$	−3.72587	−	0.343305i	−0.191638	−	0.0176577i
$379$	−14.2687	−	11.3789i	−0.732935	−	0.584496i	0.184287	−	0.982872i	$-0.441002\pi$
$379$	−14.2687	−	11.3789i	−0.732935	−	0.584496i	−0.917222	+	0.398376i	$0.869574\pi$
$380$	−0.0543296	+	10.4697i	−0.00278705	+	0.537087i
$381$	−9.38515	−	7.48441i	−0.480816	−	0.383438i
$382$	9.86064	+	2.27756i	0.504514	+	0.116530i
$383$	10.2976	+	12.9128i	0.526185	+	0.659815i	0.971910	−	0.235355i	$-0.0756252\pi$
$383$	10.2976	+	12.9128i	0.526185	+	0.659815i	−0.445724	+	0.895170i	$0.647054\pi$
$384$	10.1025	+	5.09315i	0.515539	+	0.259908i
$385$	−4.83407	−	0.432770i	−0.246367	−	0.0220560i
$386$	7.11909	−	30.8219i	0.362352	−	1.56879i
$387$	1.07381	−	2.22980i	0.0545851	−	0.113347i
$388$	4.84118	+	10.1877i	0.245773	+	0.517202i
$389$	−30.4675	−	14.6724i	−1.54476	−	0.743918i	−0.548994	−	0.835826i	$-0.684989\pi$
$389$	−30.4675	−	14.6724i	−1.54476	−	0.743918i	−0.995768	+	0.0919080i	$0.970703\pi$
$390$	−1.30169	−	5.77205i	−0.0659134	−	0.292279i
$391$	3.47855			0.175918
$392$	7.90580	−	18.1521i	0.399303	−	0.916819i
$393$	5.40655			0.272724
$394$	0.947082	+	4.19964i	0.0477133	+	0.211575i
$395$	−9.67823	−	4.66079i	−0.486965	−	0.234510i
$396$	−1.43003	−	3.00934i	−0.0718619	−	0.151225i
$397$	13.5283	−	28.0918i	0.678966	−	1.40989i	−0.221586	−	0.975141i	$-0.571123\pi$
$397$	13.5283	−	28.0918i	0.678966	−	1.40989i	0.900553	−	0.434747i	$-0.143162\pi$
$398$	1.12438	−	4.86796i	0.0563598	−	0.244009i
$399$	6.93424	+	10.4941i	0.347146	+	0.525363i
$400$	15.1491	+	0.157228i	0.757456	+	0.00786139i
$401$	2.06606	+	2.59076i	0.103174	+	0.129376i	0.830738	−	0.556664i	$-0.187919\pi$
$401$	2.06606	+	2.59076i	0.103174	+	0.129376i	−0.727564	+	0.686040i	$0.759347\pi$
$402$	−5.24064	−	1.21046i	−0.261379	−	0.0603720i
$403$	2.74479	+	2.18889i	0.136728	+	0.109037i
$404$	0.190202	−	36.6534i	0.00946288	−	1.82357i
$405$	0.860908	+	0.686552i	0.0427789	+	0.0341150i
$406$	−18.2400	−	10.9505i	−0.905237	−	0.543463i
$407$	13.5198	−	10.7817i	0.670152	−	0.534429i
$408$	−0.108570	+	13.9481i	−0.00537503	+	0.690533i
$409$	−9.68459	−	2.21045i	−0.478872	−	0.109299i	−0.0237304	−	0.999718i	$-0.507554\pi$
$409$	−9.68459	−	2.21045i	−0.478872	−	0.109299i	−0.455142	+	0.890419i	$0.650411\pi$
$410$	−4.33616	+	5.40853i	−0.214148	+	0.267108i
$411$	10.7089			0.528230
$412$	5.18970	+	0.0269304i	0.255678	+	0.00132676i
$413$	32.1500	+	2.87822i	1.58200	+	0.141628i
$414$	−0.435148	+	0.897628i	−0.0213863	+	0.0441160i
$415$	17.7562	−	4.05273i	0.871615	−	0.198940i
$416$	9.07391	+	19.4848i	0.444885	+	0.955322i
$417$	−13.3488	−	16.7389i	−0.653693	−	0.819705i
$418$	−4.88588	+	10.0786i	−0.238976	+	0.492963i
$419$	5.45289	+	23.8907i	0.266391	+	1.16714i	0.914178	+	0.405314i	$0.132838\pi$
$419$	5.45289	+	23.8907i	0.266391	+	1.16714i	−0.647787	+	0.761822i	$0.724305\pi$
$420$	−4.87789	+	3.18694i	−0.238017	+	0.155507i
$421$	−3.65165	+	15.9989i	−0.177970	+	0.779740i	0.804595	+	0.593824i	$0.202382\pi$
$421$	−3.65165	+	15.9989i	−0.177970	+	0.779740i	−0.982566	+	0.185916i	$0.940475\pi$
$422$	−16.9033	−	13.5518i	−0.822841	−	0.659694i
$423$	3.44987			0.167738
$424$	16.3215	−	20.1428i	0.792640	−	0.978222i
$425$	8.10413	+	16.8284i	0.393108	+	0.816298i
$426$	−0.00948605	+	3.65610i	−0.000459601	+	0.177139i
$427$	2.86667	+	2.73822i	0.138728	+	0.132512i
$428$	−6.46162	+	13.2415i	−0.312334	+	0.640051i
$429$	1.40854	−	6.17120i	0.0680047	−	0.297948i
$430$	−0.847850	−	3.75961i	−0.0408870	−	0.181305i
$431$	−15.3681	−	31.9123i	−0.740257	−	1.53716i	−0.840267	−	0.542173i	$-0.817602\pi$
$431$	−15.3681	−	31.9123i	−0.740257	−	1.53716i	0.100009	−	0.994986i	$-0.468113\pi$
$432$	−3.58567	−	1.77284i	−0.172516	−	0.0852959i
$433$	3.38359	−	7.02611i	0.162605	−	0.337653i	−0.803707	−	0.595025i	$-0.797142\pi$
$433$	3.38359	−	7.02611i	0.162605	−	0.337653i	0.966312	+	0.257372i	$0.0828565\pi$
$434$	1.07529	−	3.28566i	0.0516154	−	0.157717i
$435$	2.71654	+	5.64095i	0.130248	+	0.270463i
$436$	−1.09744	+	4.69574i	−0.0525578	+	0.224885i
$437$	3.26932	−	0.746200i	0.156393	−	0.0356956i
$438$	−7.37477	−	15.4161i	−0.352380	−	0.736608i
$439$	5.38630	−	6.75421i	0.257074	−	0.322361i	−0.636500	−	0.771277i	$-0.719618\pi$
$439$	5.38630	−	6.75421i	0.257074	−	0.322361i	0.893574	+	0.448916i	$0.148190\pi$
$440$	−4.65702	−	2.28753i	−0.222015	−	0.109054i
$441$	−2.74509	+	6.43929i	−0.130718	+	0.306633i
$442$	−16.5760	+	20.6753i	−0.788439	+	0.983426i
$443$	−17.5345	−	13.9833i	−0.833091	−	0.664368i	0.111084	−	0.993811i	$-0.464568\pi$
$443$	−17.5345	−	13.9833i	−0.833091	−	0.664368i	−0.944175	+	0.329443i	$0.893139\pi$
$444$	4.72457	−	20.2156i	0.224218	−	0.959388i
$445$	0.146704	+	0.642752i	0.00695443	+	0.0304694i
$446$	−19.2424	+	9.20525i	−0.911156	+	0.435881i
$447$	5.88628	−	2.83468i	0.278411	−	0.134076i
$448$	14.8563	−	15.0762i	0.701894	−	0.712282i
$449$	−35.7934	−	17.2372i	−1.68919	−	0.813473i	−0.995662	−	0.0930488i	$-0.970339\pi$
$449$	−35.7934	−	17.2372i	−1.68919	−	0.813473i	−0.693533	−	0.720425i	$-0.743947\pi$
$450$	−5.35629	−	0.0138973i	−0.252498	−	0.000655127i
$451$	−6.68146	+	3.21762i	−0.314618	+	0.151512i
$452$	32.4360	+	15.8282i	1.52566	+	0.744498i
$453$	−4.20290	−	0.959285i	−0.197469	−	0.0450711i
$454$	−4.34360	−	19.2608i	−0.203855	−	0.903952i
$455$	−11.0256	−	0.987067i	−0.516888	−	0.0462744i
$456$	2.89002	+	13.1324i	0.135338	+	0.614980i
$457$	36.1754	−	17.4212i	1.69222	−	0.814928i	0.697016	−	0.717055i	$-0.254510\pi$
$457$	36.1754	−	17.4212i	1.69222	−	0.814928i	0.995199	−	0.0978729i	$-0.0312039\pi$
$458$	2.01291	−	1.59672i	0.0940571	−	0.0746097i
$459$		−	4.93154i		−	0.230185i
$460$	0.337806	+	1.51625i	0.0157503	+	0.0706955i
$461$	9.18927	+	2.09739i	0.427987	+	0.0976853i	0.431088	−	0.902310i	$-0.358130\pi$
$461$	9.18927	+	2.09739i	0.427987	+	0.0976853i	−0.00310081	+	0.999995i	$0.500987\pi$
$462$	−6.17864	+	0.823608i	−0.287457	+	0.0383177i
$463$	26.4200	−	6.03020i	1.22784	−	0.280247i	0.441061	−	0.897477i	$-0.354602\pi$
$463$	26.4200	−	6.03020i	1.22784	−	0.280247i	0.786783	+	0.617230i	$0.211745\pi$
$464$	−13.9951	−	17.9278i	−0.649705	−	0.832279i
$465$	−0.795443	+	0.634345i	−0.0368878	+	0.0294170i
$466$	−2.76823	−	0.00718240i	−0.128236	−	0.000332718i
$467$	−0.859692	−	3.76656i	−0.0397818	−	0.174296i	0.951134	−	0.308778i	$-0.0999200\pi$
$467$	−0.859692	−	3.76656i	−0.0397818	−	0.174296i	−0.990916	+	0.134482i	$0.957063\pi$
$468$	−3.26164	−	6.86374i	−0.150769	−	0.317277i
$469$	−5.15695	+	8.64055i	−0.238126	+	0.398984i
$470$	4.20892	−	3.33867i	0.194143	−	0.154002i
$471$			8.42636i			0.388266i
$472$	30.9725	+	15.2137i	1.42562	+	0.700265i
$473$	0.917446	−	4.01959i	0.0421842	−	0.184821i
$474$	−13.4422	−	3.10482i	−0.617422	−	0.142609i
$475$	11.2266	+	14.0777i	0.515112	+	0.645930i
$476$	24.7798	+	8.18083i	1.13578	+	0.374968i
$477$	−5.71490	+	7.16626i	−0.261667	+	0.328121i
$478$	18.7984	−	14.9116i	0.859819	−	0.682041i
$479$	−5.89075	+	7.38677i	−0.269155	+	0.337510i	−0.897979	−	0.440037i	$-0.854965\pi$
$479$	−5.89075	+	7.38677i	−0.269155	+	0.337510i	0.628824	+	0.777548i	$0.283537\pi$
$480$	−6.09030	+	1.30719i	−0.277983	+	0.0596647i
$481$	30.8362	−	24.5910i	1.40601	−	1.12125i
$482$	−0.531354	−	1.11073i	−0.0242025	−	0.0505924i
$483$	1.34951	+	1.28904i	0.0614049	+	0.0586535i
$484$	10.1892	+	12.9137i	0.463145	+	0.586988i
$485$	−5.59515	−	2.69448i	−0.254063	−	0.122350i
$486$	1.27257	+	0.616908i	0.0577248	+	0.0279835i
$487$	1.69241	−	3.51433i	0.0766906	−	0.159250i	−0.859098	−	0.511811i	$-0.828975\pi$
$487$	1.69241	−	3.51433i	0.0766906	−	0.159250i	0.935789	+	0.352561i	$0.114689\pi$
$488$	1.80903	+	3.83251i	0.0818908	+	0.173490i
$489$		−	21.6545i		−	0.979249i
$490$	2.88268	+	10.5127i	0.130226	+	0.474915i
$491$		−	18.5950i		−	0.839182i	−0.907713	−	0.419591i	$-0.862174\pi$
$491$		−	18.5950i		−	0.839182i	0.907713	−	0.419591i	$-0.137826\pi$
$492$	−3.90445	+	8.00121i	−0.176026	+	0.360722i
$493$	12.1662	−	25.2634i	0.547938	−	1.13780i
$494$	−11.1438	+	22.9875i	−0.501382	+	1.03426i
$495$	1.65275	+	0.795923i	0.0742856	+	0.0357741i
$496$	2.33418	−	2.86545i	0.104808	−	0.128662i
$497$	6.50619	+	2.11059i	0.291842	+	0.0946728i
$498$	21.1008	−	10.0942i	0.945548	−	0.452333i
$499$	−16.8513	+	13.4385i	−0.754368	+	0.601589i	−0.923318	−	0.384036i	$-0.874534\pi$
$499$	−16.8513	+	13.4385i	−0.754368	+	0.601589i	0.168950	+	0.985625i	$0.445962\pi$
$500$	−15.1928	+	11.9874i	−0.679445	+	0.536095i
$501$	−2.89998	+	3.63646i	−0.129561	+	0.162465i
$502$	−22.6588	−	28.5649i	−1.01131	−	1.27492i
$503$	−2.92619	+	3.66932i	−0.130472	+	0.163607i	−0.842776	−	0.538264i	$-0.819080\pi$
$503$	−2.92619	+	3.66932i	−0.130472	+	0.163607i	0.712304	+	0.701871i	$0.247652\pi$
$504$	−5.21084	+	5.37095i	−0.232109	+	0.239241i
$505$	12.5824	+	15.7778i	0.559909	+	0.702103i
$506$	−0.373993	+	1.61919i	−0.0166260	+	0.0719819i
$507$	0.319831	−	1.40127i	0.0142042	−	0.0622327i
$508$	−23.4336	+	5.22078i	−1.03970	+	0.231635i
$509$		−	27.4868i		−	1.21833i	−0.793043	−	0.609166i	$-0.791504\pi$
$509$		−	27.4868i		−	1.21833i	0.793043	−	0.609166i	$-0.208496\pi$
$510$	−4.77259	−	6.01659i	−0.211334	−	0.266419i
$511$	−31.6797	+	4.30656i	−1.40143	+	0.190511i
$512$	20.6103	−	9.33898i	0.910854	−	0.412729i
$513$	−1.05789	−	4.63490i	−0.0467068	−	0.204636i
$514$	−0.00451479	+	1.74008i	−0.000199139	+	0.0767518i
$515$	−2.23396	+	1.78152i	−0.0984399	+	0.0785032i
$516$	−2.12446	−	4.47068i	−0.0935241	−	0.196811i
$517$	5.60311	−	1.27887i	0.246424	−	0.0562447i
$518$	−33.2989	−	19.9912i	−1.46307	−	0.878362i
$519$	−2.12438	−	0.484876i	−0.0932500	−	0.0212837i
$520$	−10.6218	−	5.21742i	−0.465796	−	0.228799i
$521$			25.8196i			1.13118i	0.824687	+	0.565589i	$0.191351\pi$
$521$			25.8196i			1.13118i	−0.824687	+	0.565589i	$0.808649\pi$
$522$	4.99719	+	6.29975i	0.218721	+	0.275732i
$523$	−3.26317	+	1.57146i	−0.142689	+	0.0687152i	−0.503866	−	0.863782i	$-0.668089\pi$
$523$	−3.26317	+	1.57146i	−0.142689	+	0.0687152i	0.361177	+	0.932497i	$0.382375\pi$
$524$	6.78563	−	8.41892i	0.296432	−	0.367782i
$525$	−3.09207	+	9.53175i	−0.134949	+	0.416000i
$526$	13.0767	−	2.94899i	0.570169	−	0.128582i
$527$	4.44229	+	1.01392i	0.193509	+	0.0441672i
$528$	−6.48086	−	1.55015i	−0.282043	−	0.0674616i
$529$	−20.2740	+	9.76345i	−0.881479	+	0.424498i
$530$	−0.0370343	+	14.2737i	−0.00160867	+	0.620010i
$531$	−10.9919	−	5.29344i	−0.477010	−	0.229716i
$532$	25.0441	+	2.37314i	1.08580	+	0.102888i
$533$	−15.2392	+	7.33879i	−0.660081	+	0.317878i
$534$	0.365399	+	0.763823i	0.0158124	+	0.0330538i
$535$	−1.80511	−	7.90871i	−0.0780418	−	0.341923i
$536$	−8.46229	+	6.64135i	−0.365515	+	0.286863i
$537$	−14.3131	−	11.4143i	−0.617656	−	0.492564i
$538$	2.30298	+	1.84636i	0.0992886	+	0.0796023i
$539$	−2.07138	+	11.4760i	−0.0892204	+	0.494306i
$540$	2.14958	−	0.478907i	0.0925034	−	0.0206089i
$541$	−17.7373	+	22.2418i	−0.762585	+	0.956252i	−0.999885	−	0.0151849i	$-0.995166\pi$
$541$	−17.7373	+	22.2418i	−0.762585	+	0.956252i	0.237299	+	0.971437i	$0.423738\pi$
$542$	3.26126	−	1.56013i	0.140083	−	0.0670132i
$543$	11.7469	−	2.68116i	0.504109	−	0.115060i
$544$	21.5833	+	17.6750i	0.925375	+	0.757808i
$545$	−1.15196	−	2.39208i	−0.0493447	−	0.102465i
$546$	−14.0923	+	1.87850i	−0.603096	+	0.0803922i
$547$	14.7649	−	30.6595i	0.631300	−	1.31091i	−0.302513	−	0.953145i	$-0.597826\pi$
$547$	14.7649	−	30.6595i	0.631300	−	1.31091i	0.933813	−	0.357762i	$-0.116460\pi$
$548$	13.4405	−	16.6756i	0.574148	−	0.712344i
$549$	−0.650115	−	1.34998i	−0.0277462	−	0.0576156i
$550$	−8.70458	+	1.96302i	−0.371164	+	0.0837033i
$551$	6.01503	−	26.3536i	0.256249	−	1.12270i
$552$	0.851617	+	1.80419i	0.0362472	+	0.0767915i
$553$	−13.2276	+	22.1630i	−0.562493	+	0.942466i
$554$	−42.3949	−	0.109997i	−1.80118	−	0.00467332i
$555$	4.95931	+	10.2981i	0.210511	+	0.437130i
$556$	−42.8190	−	0.222196i	−1.81593	−	0.00942322i
$557$	26.8701			1.13852			0.569262	−	0.822156i	$-0.307229\pi$
$557$	26.8701			1.13852			0.569262	+	0.822156i	$0.307229\pi$
$558$	−0.817346	+	1.01948i	−0.0346010	+	0.0431581i
$559$	2.09252	−	9.16794i	0.0885043	−	0.387762i
$560$	−1.15952	+	11.5956i	−0.0489985	+	0.490002i
$561$	−1.82813	−	8.00956i	−0.0771837	−	0.338164i
$562$	−34.4940	−	16.7218i	−1.45504	−	0.705368i
$563$	22.1230	+	27.7414i	0.932374	+	1.16916i	0.985347	+	0.170564i	$0.0545590\pi$
$563$	22.1230	+	27.7414i	0.932374	+	1.16916i	−0.0529726	+	0.998596i	$0.516870\pi$
$564$	4.32985	−	5.37204i	0.182320	−	0.226204i
$565$	−19.3730	+	4.42176i	−0.815028	+	0.186025i
$566$	−27.7425	−	13.4489i	−1.16610	−	0.565298i
$567$	1.82748	−	1.91320i	0.0767468	−	0.0803468i
$568$	5.68127	+	4.60346i	0.238381	+	0.193157i
$569$	−8.38463			−0.351502			−0.175751	−	0.984435i	$-0.556235\pi$
$569$	−8.38463			−0.351502			−0.175751	+	0.984435i	$0.556235\pi$
$570$	−5.77616	−	4.63090i	−0.241937	−	0.193967i
$571$	−30.4531	−	6.95073i	−1.27442	−	0.290879i	−0.468799	−	0.883305i	$-0.655313\pi$
$571$	−30.4531	−	6.95073i	−1.27442	−	0.290879i	−0.805625	+	0.592426i	$0.798170\pi$
$572$	−7.84179	−	9.93865i	−0.327882	−	0.415556i
$573$	−5.59486	+	4.46175i	−0.233729	+	0.186392i
$574$	12.0145	+	11.5359i	0.501474	+	0.481499i
$575$	2.08872	+	1.66570i	0.0871056	+	0.0694644i
$576$	−7.26091	+	3.35845i	−0.302538	+	0.139935i
$577$	18.3169	+	14.6073i	0.762544	+	0.608109i	0.925598	−	0.378508i	$-0.123563\pi$
$577$	18.3169	+	14.6073i	0.762544	+	0.608109i	−0.163053	+	0.986617i	$0.552134\pi$
$578$	−2.32975	+	10.0866i	−0.0969048	+	0.419547i
$579$	13.9463	+	17.4882i	0.579590	+	0.726783i
$580$	12.1934	+	2.84971i	0.506303	+	0.118328i
$581$	−5.89461	−	43.3616i	−0.244550	−	1.79894i
$582$	−7.77119	−	1.79495i	−0.322126	−	0.0744030i
$583$	−6.62532	+	13.7576i	−0.274393	+	0.569782i
$584$	−33.2614	−	7.86456i	−1.37636	−	0.325438i
$585$	3.76961	+	1.81535i	0.155854	+	0.0750555i
$586$	25.6876	−	5.79295i	1.06114	−	0.239304i
$587$	−2.19302			−0.0905155			−0.0452577	−	0.998975i	$-0.514411\pi$
$587$	−2.19302			−0.0905155			−0.0452577	+	0.998975i	$0.514411\pi$
$588$	6.58179	+	12.3564i	0.271428	+	0.509568i
$589$	4.39259			0.180993
$590$	−18.5333	+	4.17954i	−0.763002	+	0.172069i
$591$	−2.74270	−	1.32081i	−0.112820	−	0.0543310i
$592$	−25.5494	−	32.7291i	−1.05007	−	1.34516i
$593$	−7.17649	+	14.9021i	−0.294703	+	0.611957i	−0.994772	−	0.102118i	$-0.967438\pi$
$593$	−7.17649	+	14.9021i	−0.294703	+	0.611957i	0.700069	+	0.714075i	$0.253152\pi$
$594$	2.29553	+	0.530209i	0.0941866	+	0.0217547i
$595$	−13.4488	+	5.05467i	−0.551346	+	0.207221i
$596$	2.97365	−	12.7237i	0.121805	−	0.521183i
$597$	2.20266	+	2.76205i	0.0901488	+	0.113043i
$598$	−0.853007	+	3.69307i	−0.0348821	+	0.151021i
$599$	−11.8930	−	9.48433i	−0.485934	−	0.387519i	0.349652	−	0.936880i	$-0.386300\pi$
$599$	−11.8930	−	9.48433i	−0.485934	−	0.387519i	−0.835585	+	0.549360i	$0.814871\pi$
$600$	−6.74420	+	8.32322i	−0.275331	+	0.339794i
$601$	29.3834	+	23.4325i	1.19857	+	0.955830i	0.999707	−	0.0241966i	$-0.00770277\pi$
$601$	29.3834	+	23.4325i	1.19857	+	0.955830i	0.198866	+	0.980027i	$0.436274\pi$
$602$	−9.17900	+	1.22355i	−0.374108	+	0.0498683i
$603$	2.97350	−	2.37129i	0.121090	−	0.0965664i
$604$	−6.76873	+	5.34066i	−0.275416	+	0.217308i
$605$	−8.82952	−	2.01528i	−0.358971	−	0.0819328i
$606$	20.2217	+	16.2122i	0.821449	+	0.658578i
$607$	−47.5785			−1.93115			−0.965576	−	0.260122i	$-0.916237\pi$
$607$	−47.5785			−1.93115			−0.965576	+	0.260122i	$0.916237\pi$
$608$	24.0766	+	11.9819i	0.976434	+	0.485930i
$609$	14.0817	−	5.29255i	0.570620	−	0.214465i
$610$	−2.09962	−	1.01784i	−0.0850112	−	0.0412113i
$611$	12.7796	−	2.91687i	0.517009	−	0.118004i
$612$	−7.67925	−	6.18946i	−0.310415	−	0.250194i
$613$	−11.4718	−	14.3851i	−0.463340	−	0.581010i	0.494186	−	0.869356i	$-0.335466\pi$
$613$	−11.4718	−	14.3851i	−0.463340	−	0.581010i	−0.957526	+	0.288346i	$0.906895\pi$
$614$	35.2939	+	17.1096i	1.42435	+	0.690487i
$615$	−1.09074	−	4.77886i	−0.0439830	−	0.192702i
$616$	−6.47217	+	10.6549i	−0.260771	+	0.429298i
$617$	4.05051	−	17.7465i	0.163068	−	0.714446i	−0.825591	−	0.564268i	$-0.809158\pi$
$617$	4.05051	−	17.7465i	0.163068	−	0.714446i	0.988659	−	0.150177i	$-0.0479845\pi$
$618$	−2.29547	+	2.86316i	−0.0923373	+	0.115173i
$619$	−24.6790			−0.991931			−0.495966	−	0.868342i	$-0.665186\pi$
$619$	−24.6790			−0.991931			−0.495966	+	0.868342i	$0.665186\pi$
$620$	−0.0105589	+	2.03479i	−0.000424057	+	0.0817193i
$621$	−0.306048	−	0.635515i	−0.0122813	−	0.0255023i
$622$	−16.0575	−	0.0416624i	−0.643846	−	0.00167051i
$623$	1.56964	−	0.213378i	0.0628863	−	0.00854881i
$624$	−14.7816	−	3.53560i	−0.591739	−	0.141537i
$625$	−1.84302	+	8.07479i	−0.0737207	+	0.322992i
$626$	27.1592	−	6.12481i	1.08550	−	0.244797i
$627$	−3.43633	−	7.13562i	−0.137234	−	0.284969i
$628$	13.1213	+	10.5757i	0.523596	+	0.422018i
$629$	22.2106	−	46.1207i	0.885594	−	1.83895i
$630$	0.378028	−	4.10272i	0.0150610	−	0.163456i
$631$	−16.2888	−	33.8241i	−0.648448	−	1.34652i	−0.922946	−	0.384928i	$-0.874226\pi$
$631$	−16.2888	−	33.8241i	−0.648448	−	1.34652i	0.274498	−	0.961588i	$-0.411488\pi$
$632$	−21.7058	+	17.0351i	−0.863408	+	0.677618i
$633$	14.9354	−	3.40891i	0.593630	−	0.135492i
$634$	12.6583	−	6.05552i	0.502726	−	0.240495i
$635$	8.24141	−	10.3344i	0.327050	−	0.410108i
$636$	3.98645	+	17.8933i	0.158073	+	0.709515i
$637$	−4.72442	+	26.1746i	−0.187188	+	1.03707i
$638$	10.4515	+	8.37926i	0.413780	+	0.331738i
$639$	−2.02124	−	1.61188i	−0.0799590	−	0.0637652i
$640$	−5.60828	+	11.1243i	−0.221687	+	0.439725i
$641$	0.789722	+	3.46000i	0.0311921	+	0.136662i	0.988126	−	0.153643i	$-0.0491005\pi$
$641$	0.789722	+	3.46000i	0.0311921	+	0.136662i	−0.956934	+	0.290305i	$0.906243\pi$
$642$	−4.49604	−	9.39842i	−0.177444	−	0.370926i
$643$	−26.1726	+	12.6041i	−1.03215	+	0.497056i	−0.871726	−	0.489993i	$-0.836999\pi$
$643$	−26.1726	+	12.6041i	−1.03215	+	0.497056i	−0.160420	+	0.987049i	$0.551285\pi$
$644$	3.70100	−	0.483571i	0.145840	−	0.0190554i
$645$	2.45533	+	1.18242i	0.0966785	+	0.0465579i
$646$	−0.0860264	+	33.1562i	−0.00338466	+	1.30451i
$647$	23.8971	−	11.5082i	0.939492	−	0.452435i	0.0995017	−	0.995037i	$-0.468275\pi$
$647$	23.8971	−	11.5082i	0.939492	−	0.452435i	0.839990	+	0.542602i	$0.182561\pi$
$648$	2.55780	−	1.20734i	0.100480	−	0.0474286i
$649$	−19.8149	−	4.52261i	−0.777802	−	0.177528i
$650$	−19.8535	+	4.47727i	−0.778718	+	0.175613i
$651$	1.34767	+	2.03953i	0.0528192	+	0.0799355i
$652$	−33.7197	−	27.1780i	−1.32057	−	1.06437i
$653$	14.5177	−	6.99134i	0.568120	−	0.273592i	−0.127695	−	0.991814i	$-0.540758\pi$
$653$	14.5177	−	6.99134i	0.568120	−	0.273592i	0.695815	+	0.718221i	$0.255043\pi$
$654$	−2.11909	−	2.67144i	−0.0828630	−	0.104462i
$655$			5.95338i			0.232618i
$656$	7.55886	+	16.1220i	0.295124	+	0.629460i
$657$	11.7810	+	2.68893i	0.459619	+	0.104905i
$658$	−7.08823	−	10.7879i	−0.276328	−	0.420557i
$659$	−32.9547	+	7.52169i	−1.28373	+	0.293003i	−0.809356	−	0.587319i	$-0.800184\pi$
$659$	−32.9547	+	7.52169i	−1.28373	+	0.293003i	−0.474376	+	0.880322i	$0.657326\pi$
$660$	3.31372	−	1.57467i	0.128986	−	0.0612940i
$661$	36.2416	−	28.9017i	1.40963	−	1.12415i	0.434978	−	0.900441i	$-0.356756\pi$
$661$	36.2416	−	28.9017i	1.40963	−	1.12415i	0.974657	−	0.223705i	$-0.0718152\pi$
$662$	−0.0967208	+	37.2780i	−0.00375916	+	1.44885i
$663$	−4.16962	−	18.2683i	−0.161935	−	0.709482i
$664$	10.7646	−	45.5265i	0.417749	−	1.76677i
$665$	−11.5555	+	7.63559i	−0.448104	+	0.296095i
$666$	9.12287	+	11.5008i	0.353504	+	0.445647i
$667$		−	4.01065i		−	0.155293i
$668$	2.02289	+	9.07979i	0.0782680	+	0.351308i
$669$	3.35634	−	14.7051i	0.129763	−	0.568531i
$670$	1.33288	−	5.77069i	0.0514938	−	0.222941i
$671$	−1.55632	−	1.95157i	−0.0600812	−	0.0753394i
$672$	1.82348	+	14.8551i	0.0703422	+	0.573049i
$673$	24.5616	−	30.7993i	0.946781	−	1.18723i	−0.0354161	−	0.999373i	$-0.511276\pi$
$673$	24.5616	−	30.7993i	0.946781	−	1.18723i	0.982197	−	0.187853i	$-0.0601529\pi$
$674$	−1.67422	−	2.11062i	−0.0644887	−	0.0812981i
$675$	2.36146	−	2.96117i	0.0908925	−	0.113976i
$676$	−1.78061	−	2.25674i	−0.0684850	−	0.0867976i
$677$	11.1372	−	8.88165i	0.428039	−	0.341349i	−0.385655	−	0.922643i	$-0.626025\pi$
$677$	11.1372	−	8.88165i	0.428039	−	0.341349i	0.813694	+	0.581294i	$0.197453\pi$
$678$	−23.0222	+	11.0134i	−0.884161	+	0.422967i
$679$	−7.64708	+	12.8128i	−0.293468	+	0.491711i
$680$	−15.3588	−	0.119551i	−0.588984	−	0.00458458i
$681$	12.5788	+	6.05764i	0.482022	+	0.232129i
$682$	−0.949569	+	1.95878i	−0.0363609	+	0.0750057i
$683$	−12.1241	+	25.1759i	−0.463914	+	0.963328i	0.529452	+	0.848340i	$0.322397\pi$
$683$	−12.1241	+	25.1759i	−0.463914	+	0.963328i	−0.993367	+	0.114989i	$0.963317\pi$
$684$	−8.54507	−	4.16985i	−0.326729	−	0.159438i
$685$			11.7920i			0.450549i
$686$	25.7762	−	4.64639i	0.984139	−	0.177400i
$687$			1.81677i			0.0693141i
$688$	−9.62798	−	2.30290i	−0.367063	−	0.0877974i
$689$	−15.1111	+	31.3785i	−0.575687	+	1.19543i
$690$	−0.988417	−	0.479160i	−0.0376284	−	0.0182413i
$691$	12.4401	+	5.99082i	0.473242	+	0.227901i	0.655274	−	0.755391i	$-0.272553\pi$
$691$	12.4401	+	5.99082i	0.473242	+	0.227901i	−0.182032	+	0.983293i	$0.558267\pi$
$692$	−3.42130	+	2.69947i	−0.130058	+	0.102618i
$693$	2.25887	−	3.78477i	0.0858073	−	0.143772i
$694$	−9.39114	−	19.6310i	−0.356483	−	0.745184i
$695$	18.4319	−	14.6989i	0.699161	−	0.557562i
$696$	16.0816	+	0.125178i	0.609573	+	0.00474485i
$697$	−13.6874	+	17.1634i	−0.518446	+	0.650111i
$698$	−12.2415	+	9.71040i	−0.463347	+	0.367544i
$699$	1.22045	−	1.53039i	0.0461615	−	0.0578847i
$700$	10.9618	+	16.7780i	0.414316	+	0.634148i
$701$	6.81689	+	8.54811i	0.257471	+	0.322858i	0.893720	−	0.448626i	$-0.148086\pi$
$701$	6.81689	+	8.54811i	0.257471	+	0.322858i	−0.636249	+	0.771484i	$0.719515\pi$
$702$	5.23567	+	1.20931i	0.197607	+	0.0456424i
$703$	10.9810	−	48.1110i	0.414157	−	1.81454i
$704$	−10.5478	+	8.14625i	−0.397536	+	0.307024i
$705$			3.79880i			0.143071i
$706$	−38.5637	+	30.5901i	−1.45136	+	1.15128i
$707$	40.4546	−	26.7313i	1.52145	−	1.00533i
$708$	−22.0385	+	10.4727i	−0.828259	+	0.393587i
$709$	0.256041	+	1.12179i	0.00961582	+	0.0421297i	0.979508	−	0.201404i	$-0.0645505\pi$
$709$	0.256041	+	1.12179i	0.00961582	+	0.0421297i	−0.969892	+	0.243534i	$0.921693\pi$
$710$	−4.02589	−	0.0104455i	−0.151089	−	0.000392013i
$711$	7.62703	−	6.08235i	0.286036	−	0.228106i
$712$	1.64801	+	0.389667i	0.0617617	+	0.0146034i
$713$	0.635391	−	0.145024i	0.0237956	−	0.00543118i
$714$	−15.4212	+	10.1325i	−0.577123	+	0.379200i
$715$	6.79537	+	1.55100i	0.254132	+	0.0580041i
$716$	−35.7381	+	7.96210i	−1.33560	+	0.297558i
$717$			16.9667i			0.633632i
$718$	−0.379295	+	0.300871i	−0.0141552	+	0.0112284i
$719$	18.7706	−	9.03945i	0.700026	−	0.337115i	−0.0497914	−	0.998760i	$-0.515856\pi$
$719$	18.7706	−	9.03945i	0.700026	−	0.337115i	0.749817	+	0.661645i	$0.230141\pi$
$720$	1.95215	−	3.94834i	0.0727525	−	0.147146i
$721$	3.78485	+	5.72790i	0.140955	+	0.213318i
$722$	1.12046	+	4.96845i	0.0416993	+	0.184907i
$723$	0.848820	+	0.193738i	0.0315679	+	0.00720518i
$724$	10.5683	−	21.6570i	0.392767	−	0.804878i
$725$	19.4026	−	9.34378i	0.720593	−	0.347019i
$726$	−11.6315	−	0.0301788i	−0.431684	−	0.00112004i
$727$	−36.2936	−	17.4781i	−1.34605	−	0.648226i	−0.384573	−	0.923095i	$-0.625651\pi$
$727$	−36.2936	−	17.4781i	−1.34605	−	0.648226i	−0.961482	+	0.274869i	$0.911365\pi$
$728$	−14.7618	+	24.3018i	−0.547109	+	0.900685i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	16.9753	−	8.12068i	0.628284	−	0.300560i
$731$	−2.71587	−	11.8990i	−0.100450	−	0.440101i
$732$	−2.91809	−	0.681985i	−0.107856	−	0.0252069i
$733$	−34.6408	−	27.6251i	−1.27949	−	1.02036i	−0.998153	−	0.0607450i	$-0.980652\pi$
$733$	−34.6408	−	27.6251i	−1.27949	−	1.02036i	−0.281332	−	0.959610i	$-0.590776\pi$
$734$	17.4006	−	21.7039i	0.642267	−	0.801104i
$735$	−7.09058	−	3.02273i	−0.261540	−	0.111495i
$736$	3.87828	+	0.938286i	0.142955	+	0.0345857i
$737$	3.95038	−	4.95361i	0.145514	−	0.182469i
$738$	−2.71674	−	5.67902i	−0.100005	−	0.209048i
$739$	20.4028	−	4.65680i	0.750528	−	0.171303i	0.169888	−	0.985463i	$-0.445660\pi$
$739$	20.4028	−	4.65680i	0.750528	−	0.171303i	0.580640	+	0.814160i	$0.302802\pi$
$740$	22.2602	+	5.20243i	0.818302	+	0.191245i
$741$	−7.83763	−	16.2750i	−0.287923	−	0.597877i
$742$	34.1513	+	3.14673i	1.25374	+	0.115520i
$743$	6.46657	−	13.4280i	0.237236	−	0.492625i	−0.748028	−	0.663667i	$-0.768999\pi$
$743$	6.46657	−	13.4280i	0.237236	−	0.492625i	0.985264	+	0.171042i	$0.0547135\pi$
$744$	0.561676	+	2.55228i	0.0205920	+	0.0935709i
$745$	3.12139	+	6.48164i	0.114359	+	0.237469i
$746$	−5.85770	−	25.9747i	−0.214465	−	0.951002i
$747$	−3.68047	+	16.1252i	−0.134661	+	0.589990i
$748$	−14.7667	−	7.20590i	−0.539924	−	0.263474i
$749$	−19.3135	+	2.62550i	−0.705702	+	0.0959337i
$750$	0.0355050	−	13.6843i	0.00129646	−	0.499679i
$751$	22.2933	+	46.2926i	0.813495	+	1.68924i	0.720375	+	0.693585i	$0.243970\pi$
$751$	22.2933	+	46.2926i	0.813495	+	1.68924i	0.0931204	+	0.995655i	$0.470316\pi$
$752$	−2.93089	−	13.4846i	−0.106878	−	0.491734i
$753$	25.7815			0.939532
$754$	23.8380	+	19.1115i	0.868127	+	0.696001i
$755$	1.05631	−	4.62800i	0.0384430	−	0.168430i
$756$	−0.685558	−	5.24690i	−0.0249335	−	0.190828i
$757$	10.3695	+	45.4317i	0.376885	+	1.65124i	0.706935	+	0.707279i	$0.250078\pi$
$757$	10.3695	+	45.4317i	0.376885	+	1.65124i	−0.330049	+	0.943964i	$0.607065\pi$
$758$	11.2588	−	23.2248i	0.408938	−	0.843563i
$759$	−0.732654	−	0.918719i	−0.0265937	−	0.0333474i
$760$	−14.4606	+	3.18233i	−0.524542	+	0.115435i
$761$	33.2041	−	7.57862i	1.20365	−	0.274725i	0.426761	−	0.904365i	$-0.359655\pi$
$761$	33.2041	−	7.57862i	1.20365	−	0.274725i	0.776887	+	0.629640i	$0.216798\pi$
$762$	7.40540	−	15.2760i	0.268269	−	0.553390i
$763$	−5.97143	+	2.24434i	−0.216180	+	0.0812505i
$764$	−0.0742678	+	14.3120i	−0.00268692	+	0.517790i
$765$	5.43033			0.196334
$766$	−14.6104	+	18.2237i	−0.527895	+	0.658448i
$767$	−45.1940	−	10.3152i	−1.63186	−	0.372461i
$768$	−3.88332	+	15.5216i	−0.140127	+	0.560087i
$769$	−39.5015	+	31.5014i	−1.42446	+	1.13597i	−0.455068	+	0.890457i	$0.650385\pi$
$769$	−39.5015	+	31.5014i	−1.42446	+	1.13597i	−0.969393	+	0.245513i	$0.921044\pi$
$770$	−0.906911	−	6.80357i	−0.0326828	−	0.245184i
$771$	−0.961988	−	0.767160i	−0.0346451	−	0.0276286i
$772$	44.7358	+	0.232143i	1.61008	+	0.00835501i
$773$	−21.9524	−	17.5064i	−0.789572	−	0.629663i	0.143378	−	0.989668i	$-0.454203\pi$
$773$	−21.9524	−	17.5064i	−0.789572	−	0.629663i	−0.932950	+	0.360005i	$0.882775\pi$
$774$	3.41024	+	0.787679i	0.122579	+	0.0283126i
$775$	2.18189	+	2.73600i	0.0783757	+	0.0982800i
$776$	−12.5485	+	9.84827i	−0.450464	+	0.353532i
$777$	25.7075	−	9.66208i	0.922253	−	0.346625i
$778$	10.7627	−	46.5967i	0.385860	−	1.67057i
$779$	−9.18226	+	19.0672i	−0.328989	+	0.683152i
$780$	7.55796	−	3.59153i	0.270619	−	0.128597i
$781$	−3.88032	−	1.86867i	−0.138849	−	0.0668661i
$782$	1.08223	+	4.79890i	0.0387003	+	0.171608i
$783$	−5.68589			−0.203197
$784$	27.5016	+	5.25923i	0.982202	+	0.187830i
$785$	−9.27863			−0.331169
$786$	1.68205	+	7.45870i	0.0599968	+	0.266043i
$787$	18.7588	+	9.03377i	0.668680	+	0.322019i	0.737243	−	0.675628i	$-0.236127\pi$
$787$	18.7588	+	9.03377i	0.668680	+	0.322019i	−0.0685635	+	0.997647i	$0.521842\pi$
$788$	−5.49903	+	2.61313i	−0.195895	+	0.0930889i
$789$	−4.11270	+	8.54010i	−0.146416	+	0.304036i
$790$	3.41885	−	14.8018i	0.121637	−	0.526625i
$791$	6.43136	+	47.3100i	0.228673	+	1.68215i
$792$	3.70669	−	2.90908i	0.131711	−	0.103370i
$793$	−3.54968	−	4.45116i	−0.126053	−	0.158065i
$794$	42.9634	+	9.92347i	1.52471	+	0.352171i
$795$	−7.89108	−	6.29293i	−0.279868	−	0.223187i
$796$	7.06548	+	0.0366642i	0.250429	+	0.00129953i
$797$	−5.18854	−	4.13772i	−0.183787	−	0.146566i	0.527274	−	0.849695i	$-0.323214\pi$
$797$	−5.18854	−	4.13772i	−0.183787	−	0.146566i	−0.711062	+	0.703130i	$0.751785\pi$
$798$	−12.3200	+	12.8311i	−0.436124	+	0.454217i
$799$	13.3014	−	10.6075i	0.470571	−	0.375268i
$800$	4.49619	+	20.9482i	0.158964	+	0.740629i
$801$	−0.583713	−	0.133229i	−0.0206245	−	0.00470741i
$802$	−2.93135	+	3.65629i	−0.103509	+	0.129108i
$803$	20.1308			0.710401
$804$	0.0394711	−	7.60641i	0.00139204	−	0.268257i
$805$	−1.41942	+	1.48600i	−0.0500280	+	0.0523748i
$806$	−2.16579	+	4.46761i	−0.0762866	+	0.157365i
$807$	−2.03487	+	0.464445i	−0.0716307	+	0.0163492i
$808$	50.6250	−	11.1410i	1.78098	−	0.391938i
$809$	12.3328	+	15.4648i	0.433597	+	0.543714i	0.949843	−	0.312727i	$-0.101242\pi$
$809$	12.3328	+	15.4648i	0.433597	+	0.543714i	−0.516246	+	0.856440i	$0.672671\pi$
$810$	−0.679304	+	1.40128i	−0.0238683	+	0.0492359i
$811$	−2.38255	−	10.4386i	−0.0836628	−	0.366551i	0.915715	−	0.401829i	$-0.131625\pi$
$811$	−2.38255	−	10.4386i	−0.0836628	−	0.366551i	−0.999378	+	0.0352784i	$0.988768\pi$
$812$	9.43222	−	28.5702i	0.331006	−	1.00262i
$813$	−0.568840	+	2.49225i	−0.0199501	+	0.0874071i
$814$	19.0803	+	15.2972i	0.668764	+	0.536166i
$815$	23.8447			0.835243
$816$	−19.2761	+	4.18966i	−0.674798	+	0.146667i
$817$	−5.10502	−	10.6007i	−0.178602	−	0.370871i
$818$	0.0364493	−	14.0483i	0.00127442	−	0.491186i
$819$	5.15205	−	8.63235i	0.180027	−	0.301639i
$820$	−8.81047	−	4.29936i	−0.307675	−	0.150140i
$821$	−4.49439	+	19.6912i	−0.156855	+	0.687228i	0.833940	+	0.551856i	$0.186080\pi$
$821$	−4.49439	+	19.6912i	−0.156855	+	0.687228i	−0.990795	+	0.135372i	$0.956777\pi$
$822$	3.33168	+	14.7736i	0.116206	+	0.515289i
$823$	4.96142	+	10.3025i	0.172944	+	0.359122i	0.969367	−	0.245618i	$-0.0789910\pi$
$823$	4.96142	+	10.3025i	0.172944	+	0.359122i	−0.796422	+	0.604741i	$0.793277\pi$
$824$	1.57743	+	7.16792i	0.0549525	+	0.249706i
$825$	2.73765	−	5.68479i	0.0953127	−	0.197919i
$826$	6.03159	+	45.2485i	0.209866	+	1.57440i
$827$	21.1103	+	43.8360i	0.734078	+	1.52433i	0.847509	+	0.530782i	$0.178102\pi$
$827$	21.1103	+	43.8360i	0.734078	+	1.52433i	−0.113431	+	0.993546i	$0.536184\pi$
$828$	−1.37372	−	0.321051i	−0.0477400	−	0.0111573i
$829$	37.6013	−	8.58226i	1.30595	−	0.298074i	0.487737	−	0.872991i	$-0.337823\pi$
$829$	37.6013	−	8.58226i	1.30595	−	0.298074i	0.818212	+	0.574916i	$0.194965\pi$
$830$	11.1152	+	23.2350i	0.385814	+	0.806497i
$831$	18.6908	−	23.4376i	0.648378	−	0.813041i
$832$	−24.0576	+	18.5801i	−0.834048	+	0.644148i
$833$	9.21527	+	33.2680i	0.319290	+	1.15267i
$834$	18.9394	−	23.6233i	0.655818	−	0.818006i
$835$	−4.00426	−	3.19329i	−0.138573	−	0.110508i
$836$	−15.4242	−	3.60479i	−0.533459	−	0.124674i
$837$	−0.205600	−	0.900793i	−0.00710658	−	0.0311359i
$838$	−31.2623	+	14.9554i	−1.07994	+	0.516624i
$839$	−30.5143	+	14.6949i	−1.05347	+	0.507324i	−0.878744	−	0.477293i	$-0.841618\pi$
$839$	−30.5143	+	14.6949i	−1.05347	+	0.507324i	−0.174726	+	0.984617i	$0.555904\pi$
$840$	−5.91419	−	5.73789i	−0.204059	−	0.197976i
$841$	−2.99967	−	1.44456i	−0.103437	−	0.0498125i
$842$	−23.2077	−	0.0602142i	−0.799789	−	0.00207512i
$843$	24.4216	−	11.7608i	0.841123	−	0.405064i
$844$	13.4368	−	27.5354i	0.462515	−	0.947809i
$845$	1.54300	+	0.352180i	0.0530809	+	0.0121154i
$846$	1.07330	+	4.75933i	0.0369009	+	0.163629i
$847$	−6.71459	+	20.6987i	−0.230716	+	0.711216i
$848$	32.8662	+	16.2499i	1.12863	+	0.558023i
$849$	19.6415	−	9.45886i	0.674096	−	0.324627i
$850$	−20.6946	+	16.4158i	−0.709820	+	0.563056i
$851$		−	7.32184i		−	0.250989i
$852$	−5.04679	+	1.12438i	−0.172900	+	0.0385205i
$853$	−2.23639	−	0.510440i	−0.0765724	−	0.0174771i	0.184063	−	0.982914i	$-0.441075\pi$
$853$	−2.23639	−	0.510440i	−0.0765724	−	0.0174771i	−0.260635	+	0.965437i	$0.583932\pi$
$854$	−2.88570	+	4.80666i	−0.0987467	+	0.164480i
$855$	5.10369	−	1.16488i	0.174543	−	0.0398382i
$856$	−20.2778	−	4.79464i	−0.693082	−	0.163877i
$857$	−3.76290	+	3.00082i	−0.128538	+	0.102506i	−0.685649	−	0.727932i	$-0.740481\pi$
$857$	−3.76290	+	3.00082i	−0.128538	+	0.102506i	0.557110	+	0.830438i	$0.311910\pi$
$858$	8.95180	+	0.0232262i	0.305609	+	0.000792928i
$859$	0.261143	+	1.14414i	0.00891009	+	0.0390376i	0.979188	−	0.202958i	$-0.0650553\pi$
$859$	0.261143	+	1.14414i	0.00891009	+	0.0390376i	−0.970277	+	0.241995i	$0.922198\pi$
$860$	4.92286	−	2.33933i	0.167868	−	0.0797706i
$861$	−11.6703	+	1.58647i	−0.397722	+	0.0540666i
$862$	39.2439	−	31.1297i	1.33665	−	1.06028i
$863$			17.6929i			0.602273i	0.953581	+	0.301136i	$0.0973660\pi$
$863$			17.6929i			0.602273i	−0.953581	+	0.301136i	$0.902634\pi$
$864$	1.33021	−	5.49823i	0.0452545	−	0.187054i
$865$	0.533918	−	2.33925i	0.0181538	−	0.0795368i
$866$	10.7457	+	2.48198i	0.365153	+	0.0843411i
$867$	−4.56400	−	5.72307i	−0.155001	−	0.194366i
$868$	4.86732	+	0.461218i	0.165208	+	0.0156548i
$869$	10.1327	−	12.7060i	0.343728	−	0.431022i
$870$	−6.93692	+	5.50263i	−0.235184	+	0.186557i
$871$	9.01006	−	11.2983i	0.305294	−	0.382827i
$872$	−6.81952	−	0.0530823i	−0.230938	−	0.00179759i
$873$	4.40932	−	3.51632i	0.149233	−	0.119009i
$874$	2.04656	+	4.27809i	0.0692260	+	0.144709i
$875$	−24.3518	−	7.89964i	−0.823240	−	0.267056i
$876$	18.9731	−	14.9701i	0.641042	−	0.505794i
$877$	−27.6794	−	13.3297i	−0.934668	−	0.450113i	−0.0963830	−	0.995344i	$-0.530727\pi$
$877$	−27.6794	−	13.3297i	−0.934668	−	0.450113i	−0.838285	+	0.545232i	$0.816442\pi$
$878$	10.9936	+	5.32944i	0.371017	+	0.179860i
$879$	−8.07893	+	16.7761i	−0.272495	+	0.565843i
$880$	1.70694	−	7.13636i	0.0575408	−	0.240567i
$881$			3.30322i			0.111288i	0.998451	+	0.0556441i	$0.0177212\pi$
$881$			3.30322i			0.111288i	−0.998451	+	0.0556441i	$0.982279\pi$
$882$	−9.73748	−	1.78368i	−0.327878	−	0.0600596i
$883$		−	14.4642i		−	0.486760i	−0.969931	−	0.243380i	$-0.921744\pi$
$883$		−	14.4642i		−	0.486760i	0.969931	−	0.243380i	$-0.0782563\pi$
$884$	−33.6801	−	16.4353i	−1.13278	−	0.552779i
$885$	5.82884	−	12.1037i	0.195934	−	0.406862i
$886$	13.8357	−	28.5405i	0.464820	−	0.958837i
$887$	29.5458	+	14.2285i	0.992051	+	0.477747i	0.858233	−	0.513259i	$-0.171562\pi$
$887$	29.5458	+	14.2285i	0.992051	+	0.477747i	0.133817	+	0.991006i	$0.457276\pi$
$888$	29.3586	+	0.228524i	0.985211	+	0.00766877i
$889$	−22.9662	−	21.9371i	−0.770261	−	0.735748i
$890$	−0.841078	+	0.402357i	−0.0281930	+	0.0134870i
$891$	−1.30247	+	1.03868i	−0.0436343	+	0.0347972i
$892$	−18.6859	−	23.6824i	−0.625649	−	0.792945i
$893$	10.2259	−	12.8228i	0.342196	−	0.429100i
$894$	5.74194	+	7.23861i	0.192039	+	0.242095i
$895$	12.5688	−	15.7608i	0.420129	−	0.526825i
$896$	25.4206	+	15.8049i	0.849242	+	0.528003i
$897$	−1.67105	−	2.09543i	−0.0557946	−	0.0699642i
$898$	12.6441	−	54.7422i	0.421938	−	1.82677i
$899$	1.16902	−	5.12181i	0.0389890	−	0.170822i
$900$	−1.64724	−	7.39369i	−0.0549081	−	0.246456i
$901$			45.2025i			1.50591i
$902$	−6.51763	−	8.21649i	−0.217013	−	0.273579i
$903$	3.35578	−	5.62266i	0.111673	−	0.187111i
$904$	−11.7448	+	49.6721i	−0.390628	+	1.65207i
$905$	2.95234	+	12.9351i	0.0981391	+	0.429976i
$906$	0.0158182	−	6.09663i	0.000525525	−	0.202547i
$907$	−22.7160	+	18.1154i	−0.754273	+	0.601512i	−0.923291	−	0.384100i	$-0.874512\pi$
$907$	−22.7160	+	18.1154i	−0.754273	+	0.601512i	0.169019	+	0.985613i	$0.445940\pi$
$908$	25.2202	−	11.9846i	0.836961	−	0.397722i
$909$	−17.8674	+	4.07812i	−0.592625	+	0.135263i
$910$	−2.06849	−	15.5177i	−0.0685699	−	0.514406i
$911$	29.9511	+	6.83615i	0.992326	+	0.226492i	0.687712	−	0.725984i	$-0.258615\pi$
$911$	29.9511	+	6.83615i	0.992326	+	0.226492i	0.304614	+	0.952476i	$0.401473\pi$
$912$	−17.2179	+	8.07265i	−0.570141	+	0.267312i
$913$			27.5541i			0.911907i
$914$	35.2884	+	44.4865i	1.16724	+	1.47148i
$915$	1.48652	−	0.715870i	0.0491428	−	0.0236659i
$916$	2.82902	+	2.28019i	0.0934736	+	0.0753395i
$917$	14.2474	+	1.27550i	0.470491	+	0.0421206i
$918$	6.80339	−	1.53427i	0.224545	−	0.0506385i
$919$	−52.4729	−	11.9766i	−1.73092	−	0.395072i	−0.763015	−	0.646381i	$-0.776282\pi$
$919$	−52.4729	−	11.9766i	−1.73092	−	0.395072i	−0.967907	+	0.251309i	$0.919139\pi$
$920$	−1.98667	+	0.937752i	−0.0654987	+	0.0309168i
$921$	−24.9879	+	12.0335i	−0.823378	+	0.396518i
$922$	−0.0345851	+	13.3298i	−0.00113900	+	0.438992i
$923$	−8.85029	−	4.26207i	−0.291311	−	0.140288i
$924$	−3.05848	−	8.26762i	−0.100617	−	0.271985i
$925$	35.4213	−	17.0580i	1.16465	−	0.560864i
$926$	16.5387	+	34.5722i	0.543496	+	1.13611i
$927$	−0.577416	−	2.52982i	−0.0189648	−	0.0830903i
$928$	20.3786	−	24.8848i	0.668961	−	0.816883i
$929$	15.9504	+	12.7200i	0.523316	+	0.417331i	0.849194	−	0.528081i	$-0.177088\pi$
$929$	15.9504	+	12.7200i	0.523316	+	0.417331i	−0.325878	+	0.945412i	$0.605660\pi$
$930$	−1.12260	−	0.900015i	−0.0368114	−	0.0295126i
$931$	15.7974	+	29.2901i	0.517740	+	0.959946i
$932$	−0.851326	−	3.82120i	−0.0278861	−	0.125168i
$933$	7.07935	−	8.87722i	0.231767	−	0.290627i
$934$	4.92876	−	2.35783i	0.161274	−	0.0771506i
$935$	8.81967	−	2.01303i	0.288434	−	0.0658332i
$936$	8.45426	−	6.63505i	0.276336	−	0.216874i
$937$	4.43239	+	9.20395i	0.144800	+	0.300680i	0.960737	−	0.277461i	$-0.0894928\pi$
$937$	4.43239	+	9.20395i	0.144800	+	0.300680i	−0.815937	+	0.578141i	$0.803779\pi$
$938$	−13.5246	−	4.42616i	−0.441595	−	0.144519i
$939$	−8.54174	+	17.7371i	−0.278749	+	0.578829i
$940$	5.91538	+	4.76779i	0.192939	+	0.155508i
$941$	8.07990	+	16.7781i	0.263397	+	0.546950i	0.990160	−	0.139938i	$-0.0446904\pi$
$941$	8.07990	+	16.7781i	0.263397	+	0.546950i	−0.726763	+	0.686888i	$0.758976\pi$
$942$	−11.6247	+	2.62156i	−0.378755	+	0.0854150i
$943$	−0.698707	+	3.06124i	−0.0227530	+	0.0996875i
$944$	−11.3523	+	47.4618i	−0.369487	+	1.54475i
$945$	2.10671	+	2.01231i	0.0685312	+	0.0654605i
$946$	5.83073	+	0.0151283i	0.189574	+	0.000491864i
$947$	−1.40624	−	2.92010i	−0.0456968	−	0.0948904i	0.876870	−	0.480727i	$-0.159627\pi$
$947$	−1.40624	−	2.92010i	−0.0456968	−	0.0948904i	−0.922567	+	0.385837i	$0.873913\pi$
$948$	0.101243	−	19.5104i	0.00328823	−	0.633669i
$949$	45.9146			1.49045
$950$	−15.9284	+	19.8676i	−0.516786	+	0.644591i
$951$	−2.20791	+	9.67349i	−0.0715964	+	0.313684i
$952$	−3.57670	+	36.7305i	−0.115921	+	1.19044i
$953$	−8.12768	−	35.6097i	−0.263282	−	1.15351i	−0.917667	−	0.397350i	$-0.869930\pi$
$953$	−8.12768	−	35.6097i	−0.263282	−	1.15351i	0.654385	−	0.756161i	$-0.272927\pi$
$954$	−11.6643	−	5.65458i	−0.377647	−	0.183074i
$955$	−4.91303	−	6.16075i	−0.158982	−	0.199357i
$956$	26.4200	+	21.2945i	0.854484	+	0.688712i
$957$	−9.23474	+	2.10777i	−0.298517	+	0.0681345i
$958$	−12.0232	−	5.82857i	−0.388454	−	0.188313i
$959$	28.2202	+	2.52641i	0.911276	+	0.0815819i
$960$	−3.69813	−	7.99530i	−0.119357	−	0.258047i
$961$	−30.1463			−0.972461
$962$	43.5185	+	34.8900i	1.40309	+	1.12490i
$963$	7.18227	+	1.63931i	0.231445	+	0.0528259i
$964$	1.36702	−	1.07860i	0.0440286	−	0.0347394i
$965$	−19.2570	+	15.3569i	−0.619904	+	0.494357i
$966$	−1.35847	+	2.26278i	−0.0437081	+	0.0728038i
$967$	−41.8864	−	33.4033i	−1.34697	−	1.07418i	−0.990151	−	0.140005i	$-0.955288\pi$
$967$	−41.8864	−	33.4033i	−1.34697	−	1.07418i	−0.356824	−	0.934172i	$-0.616140\pi$
$968$	−14.6454	+	18.0743i	−0.470720	+	0.580930i
$969$	−18.3301	−	14.6177i	−0.588846	−	0.469589i
$970$	1.97650	−	8.55719i	0.0634614	−	0.274755i
$971$	26.1441	+	32.7837i	0.839005	+	1.05208i	0.997899	+	0.0647834i	$0.0206356\pi$
$971$	26.1441	+	32.7837i	0.839005	+	1.05208i	−0.158894	+	0.987296i	$0.550793\pi$
$972$	−0.455154	+	1.94752i	−0.0145991	+	0.0624667i
$973$	−31.2279	−	47.2596i	−1.00112	−	1.51507i
$974$	5.37480	+	1.24144i	0.172220	+	0.0397784i
$975$	6.24406	−	12.9659i	0.199970	−	0.415242i
$976$	−4.72440	+	3.68802i	−0.151224	+	0.118051i
$977$	7.82675	+	3.76916i	0.250400	+	0.120586i	0.554874	−	0.831934i	$-0.312766\pi$
$977$	7.82675	+	3.76916i	0.250400	+	0.120586i	−0.304474	+	0.952521i	$0.598481\pi$
$978$	29.8738	−	6.73701i	0.955260	−	0.215426i
$979$	−0.997426			−0.0318779
$980$	−13.6061	+	7.24749i	−0.434632	+	0.231513i
$981$	2.41114			0.0769817
$982$	25.6531	−	5.78517i	0.818624	−	0.184612i
$983$	−11.5792	−	5.57626i	−0.369320	−	0.177855i	0.240013	−	0.970770i	$-0.422848\pi$
$983$	−11.5792	−	5.57626i	−0.369320	−	0.177855i	−0.609333	+	0.792915i	$0.708563\pi$
$984$	−12.2529	−	2.89718i	−0.390609	−	0.0923586i
$985$	1.45441	−	3.02010i	0.0463412	−	0.0962285i
$986$	38.6376	+	8.92431i	1.23047	+	0.284208i
$987$	9.09114	+	0.813883i	0.289374	+	0.0259062i
$988$	−35.1798	−	8.22185i	−1.11922	−	0.261572i
$989$	−1.08843	−	1.36485i	−0.0346101	−	0.0433997i
$990$	−0.583836	+	2.52770i	−0.0185555	+	0.0803357i
$991$	26.2819	+	20.9591i	0.834871	+	0.665788i	0.944618	−	0.328172i	$-0.106433\pi$
$991$	26.2819	+	20.9591i	0.834871	+	0.665788i	−0.109747	+	0.993960i	$0.535004\pi$
$992$	4.67928	+	2.32868i	0.148567	+	0.0739355i
$993$	−20.6088	−	16.4350i	−0.654000	−	0.521548i
$994$	−0.887534	+	9.63236i	−0.0281509	+	0.305520i
$995$	−3.04141	+	2.42544i	−0.0964191	+	0.0768917i
$996$	20.4904	+	25.9695i	0.649264	+	0.822875i
$997$	−32.5231	−	7.42319i	−1.03002	−	0.235095i	−0.326069	−	0.945346i	$-0.605724\pi$
$997$	−32.5231	−	7.42319i	−1.03002	−	0.235095i	−0.703949	+	0.710251i	$0.748581\pi$
$998$	−23.7820	−	19.0666i	−0.752805	−	0.603544i
$999$	−10.3802			−0.328414

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.17	✓	168
4.3	odd	2		588.2.x.b.55.1	yes	168
49.41	odd	14		588.2.x.b.139.1	yes	168
196.139	even	14	inner	588.2.x.a.139.17	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.17	✓	168	1.1	even	1	trivial
588.2.x.a.139.17	yes	168	196.139	even	14	inner
588.2.x.b.55.1	yes	168	4.3	odd	2
588.2.x.b.139.1	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)

\(f(q)\)	\(=\)	\(q+(0.311114 + 1.37957i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.80642 + 0.858405i) q^{4} +(0.477768 - 0.992096i) q^{5} +(0.318268 - 1.37794i) q^{6} +(-2.27188 - 1.35593i) q^{7} +(-1.74623 - 2.22501i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(0.311114 + 1.37957i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.80642 + 0.858405i) q^{4} +(0.477768 - 0.992096i) q^{5} +(0.318268 - 1.37794i) q^{6} +(-2.27188 - 1.35593i) q^{7} +(-1.74623 - 2.22501i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.51730 + 0.350459i) q^{10} +(1.30247 + 1.03868i) q^{11} +(1.99997 + 0.0103783i) q^{12} +(2.97068 + 2.36904i) q^{13} +(1.16378 - 3.55607i) q^{14} +(-0.860908 + 0.686552i) q^{15} +(2.52628 - 3.10127i) q^{16} +(4.80790 + 1.09737i) q^{17} +(-0.884614 + 1.10339i) q^{18} +4.75410 q^{19} +(-0.0114279 + 2.20226i) q^{20} +(1.45858 + 2.20738i) q^{21} +(-1.02772 + 2.11999i) q^{22} +(0.687683 - 0.156959i) q^{23} +(0.607902 + 2.76233i) q^{24} +(2.36146 + 2.96117i) q^{25} +(-2.34403 + 4.83530i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(5.26790 + 0.499177i) q^{28} +(1.26523 - 5.54334i) q^{29} +(-1.21499 - 0.974086i) q^{30} +0.923958 q^{31} +(5.06438 + 2.52033i) q^{32} +(-0.722815 - 1.50094i) q^{33} +(-0.0180952 + 6.97423i) q^{34} +(-2.43065 + 1.60611i) q^{35} +(-1.79741 - 0.877106i) q^{36} +(2.30980 - 10.1199i) q^{37} +(1.47907 + 6.55860i) q^{38} +(-1.64860 - 3.42336i) q^{39} +(-3.04172 + 0.669387i) q^{40} +(-1.93144 + 4.01068i) q^{41} +(-2.59145 + 2.69896i) q^{42} +(-1.07381 - 2.22980i) q^{43} +(-3.24441 - 0.758249i) q^{44} +(1.07354 - 0.245027i) q^{45} +(0.430484 + 0.899874i) q^{46} +(2.15096 - 2.69722i) q^{47} +(-3.62169 + 1.69804i) q^{48} +(3.32291 + 6.16103i) q^{49} +(-3.35046 + 4.17905i) q^{50} +(-3.85563 - 3.07476i) q^{51} +(-7.39989 - 1.72942i) q^{52} +(2.03963 + 8.93618i) q^{53} +(1.27575 - 0.610296i) q^{54} +(1.65275 - 0.795923i) q^{55} +(0.950269 + 7.42273i) q^{56} +(-4.28330 - 2.06273i) q^{57} +(8.04104 + 0.0208631i) q^{58} +(-10.9919 + 5.29344i) q^{59} +(0.965820 - 1.97921i) q^{60} +(-1.46080 - 0.333417i) q^{61} +(0.287456 + 1.27466i) q^{62} +(-0.356388 - 2.62164i) q^{63} +(-1.90136 + 7.77077i) q^{64} +(3.76961 - 1.81535i) q^{65} +(1.84577 - 1.46414i) q^{66} -3.80325i q^{67} +(-9.62705 + 2.14481i) q^{68} +(-0.687683 - 0.156959i) q^{69} +(-2.97194 - 2.85356i) q^{70} +(-2.52044 + 0.575275i) q^{71} +(0.650829 - 2.75253i) q^{72} +(9.44759 - 7.53420i) q^{73} +(14.6797 + 0.0380877i) q^{74} +(-0.842794 - 3.69252i) q^{75} +(-8.58788 + 4.08094i) q^{76} +(-1.55067 - 4.12582i) q^{77} +(4.20986 - 3.33942i) q^{78} -9.75534i q^{79} +(-1.86979 - 3.98800i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.13390 - 1.41678i) q^{82} +(10.3125 + 12.9314i) q^{83} +(-4.52963 - 2.73540i) q^{84} +(3.38576 - 4.24560i) q^{85} +(2.74208 - 2.17512i) q^{86} +(-3.54510 + 4.44541i) q^{87} +(0.0366760 - 4.71179i) q^{88} +(-0.468102 + 0.373299i) q^{89} +(0.672024 + 1.40478i) q^{90} +(-3.53679 - 9.41022i) q^{91} +(-1.10751 + 0.873845i) q^{92} +(-0.832457 - 0.400890i) q^{93} +(4.39019 + 2.12825i) q^{94} +(2.27136 - 4.71652i) q^{95} +(-3.46932 - 4.46809i) q^{96} -5.63973i q^{97} +(-7.46576 + 6.50096i) q^{98} +1.66592i 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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