LMFDB - Embedded newform 588.2.x.b.55.3

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			55.3
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.37146 + 0.345091i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.76182 - 0.946559i) q^{4} +(1.63442 - 3.39390i) q^{5} +(-1.38538 - 0.284140i) q^{6} +(-0.364664 - 2.62050i) q^{7} +(-2.08963 + 1.90616i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.37146 + 0.345091i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.76182 - 0.946559i) q^{4} +(1.63442 - 3.39390i) q^{5} +(-1.38538 - 0.284140i) q^{6} +(-0.364664 - 2.62050i) q^{7} +(-2.08963 + 1.90616i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-1.07034 + 5.21863i) q^{10} +(3.48475 + 2.77900i) q^{11} +(1.99805 - 0.0883928i) q^{12} +(0.0601076 + 0.0479342i) q^{13} +(1.40443 + 3.46808i) q^{14} +(2.94511 - 2.34865i) q^{15} +(2.20805 - 3.33534i) q^{16} +(-5.54435 - 1.26546i) q^{17} +(-1.12490 - 0.857093i) q^{18} +8.34358 q^{19} +(-0.332970 - 7.52652i) q^{20} +(0.808442 - 2.51921i) q^{21} +(-5.73821 - 2.60874i) q^{22} +(-6.27198 + 1.43154i) q^{23} +(-2.70974 + 0.810734i) q^{24} +(-5.72978 - 7.18492i) q^{25} +(-0.0989770 - 0.0449974i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-3.12293 - 4.27169i) q^{28} +(1.35757 - 5.94790i) q^{29} +(-3.22862 + 4.23742i) q^{30} +0.0893613 q^{31} +(-1.87727 + 5.33628i) q^{32} +(1.93389 + 4.01576i) q^{33} +(8.04057 - 0.177769i) q^{34} +(-9.48972 - 3.04535i) q^{35} +(1.83853 + 0.787280i) q^{36} +(1.67314 - 7.33048i) q^{37} +(-11.4429 + 2.87929i) q^{38} +(0.0333572 + 0.0692669i) q^{39} +(3.05399 + 10.2074i) q^{40} +(-2.59948 + 5.39787i) q^{41} +(-0.239392 + 3.73399i) q^{42} +(1.87459 + 3.89263i) q^{43} +(8.77000 + 1.59758i) q^{44} +(3.67250 - 0.838224i) q^{45} +(8.10778 - 4.12771i) q^{46} +(0.265244 - 0.332606i) q^{47} +(3.43654 - 2.04700i) q^{48} +(-6.73404 + 1.91120i) q^{49} +(10.3376 + 7.87656i) q^{50} +(-4.44622 - 3.54574i) q^{51} +(0.151272 + 0.0275563i) q^{52} +(-1.25947 - 5.51810i) q^{53} +(-0.641618 - 1.26029i) q^{54} +(15.1272 - 7.28485i) q^{55} +(5.75711 + 4.78077i) q^{56} +(7.51730 + 3.62014i) q^{57} +(0.190708 + 8.62582i) q^{58} +(3.16168 - 1.52258i) q^{59} +(2.96564 - 6.92563i) q^{60} +(9.24207 + 2.10944i) q^{61} +(-0.122556 + 0.0308377i) q^{62} +(1.82143 - 1.91896i) q^{63} +(0.733107 - 7.96634i) q^{64} +(0.260925 - 0.125655i) q^{65} +(-4.03806 - 4.84011i) q^{66} -0.257085i q^{67} +(-10.9660 + 3.01853i) q^{68} +(-6.27198 - 1.43154i) q^{69} +(14.0657 + 0.901776i) q^{70} +(-8.57858 + 1.95800i) q^{71} +(-2.79316 - 0.445267i) q^{72} +(-1.62689 + 1.29740i) q^{73} +(0.235038 + 10.6309i) q^{74} +(-2.04494 - 8.95945i) q^{75} +(14.6999 - 7.89769i) q^{76} +(6.01159 - 10.1452i) q^{77} +(-0.0696516 - 0.0834858i) q^{78} +3.00184i q^{79} +(-7.71093 - 12.9452i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(1.70233 - 8.30004i) q^{82} +(9.36338 + 11.7413i) q^{83} +(-0.960248 - 5.20365i) q^{84} +(-13.3566 + 16.7487i) q^{85} +(-3.91425 - 4.69170i) q^{86} +(3.80383 - 4.76985i) q^{87} +(-12.5790 + 0.835419i) q^{88} +(6.00822 - 4.79140i) q^{89} +(-4.74743 + 2.41694i) q^{90} +(0.103693 - 0.174992i) q^{91} +(-9.69510 + 8.45892i) q^{92} +(0.0805117 + 0.0387724i) q^{93} +(-0.248994 + 0.547690i) q^{94} +(13.6369 - 28.3173i) q^{95} +(-4.00669 + 3.99330i) q^{96} +1.98364i q^{97} +(8.57595 - 4.94500i) q^{98} +4.45716i 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} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 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} + 23 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} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * 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 + 23 * 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 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * 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 $

$2$	−1.37146	+	0.345091i	−0.969771	+	0.244016i
$2$	−1.37146	+	0.345091i	−0.969771	+	0.244016i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	1.76182	−	0.946559i	0.880912	−	0.473279i
$5$	1.63442	−	3.39390i	0.730933	−	1.51780i	−0.120144	−	0.992756i	$-0.538336\pi$
$5$	1.63442	−	3.39390i	0.730933	−	1.51780i	0.851077	−	0.525041i	$-0.175950\pi$
$6$	−1.38538	−	0.284140i	−0.565577	−	0.116000i
$7$	−0.364664	−	2.62050i	−0.137830	−	0.990456i
$7$	−0.364664	−	2.62050i	−0.137830	−	0.990456i
$8$	−2.08963	+	1.90616i	−0.738796	+	0.673929i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−1.07034	+	5.21863i	−0.338471	+	1.65028i
$11$	3.48475	+	2.77900i	1.05069	+	0.837899i	0.987104	−	0.160078i	$-0.0511745\pi$
$11$	3.48475	+	2.77900i	1.05069	+	0.837899i	0.0635872	+	0.997976i	$0.479746\pi$
$12$	1.99805	−	0.0883928i	0.576786	−	0.0255168i
$13$	0.0601076	+	0.0479342i	0.0166708	+	0.0132946i	0.631790	−	0.775140i	$-0.282321\pi$
$13$	0.0601076	+	0.0479342i	0.0166708	+	0.0132946i	−0.615119	+	0.788434i	$0.710892\pi$
$14$	1.40443	+	3.46808i	0.375351	+	0.926883i
$15$	2.94511	−	2.34865i	0.760425	−	0.606419i
$16$	2.20805	−	3.33534i	0.552013	−	0.833835i
$17$	−5.54435	−	1.26546i	−1.34470	−	0.306920i	−0.511212	−	0.859454i	$-0.670803\pi$
$17$	−5.54435	−	1.26546i	−1.34470	−	0.306920i	−0.833490	+	0.552535i	$0.813661\pi$
$18$	−1.12490	−	0.857093i	−0.265141	−	0.202019i
$19$	8.34358			1.91415			0.957074	−	0.289843i	$-0.0936032\pi$
$19$	8.34358			1.91415			0.957074	+	0.289843i	$0.0936032\pi$
$20$	−0.332970	−	7.52652i	−0.0744545	−	1.68298i
$21$	0.808442	−	2.51921i	0.176416	−	0.549737i
$22$	−5.73821	−	2.60874i	−1.22339	−	0.556184i
$23$	−6.27198	+	1.43154i	−1.30780	+	0.298496i	−0.818946	−	0.573870i	$-0.805441\pi$
$23$	−6.27198	+	1.43154i	−1.30780	+	0.298496i	−0.488852	+	0.872367i	$0.662584\pi$
$24$	−2.70974	+	0.810734i	−0.553124	+	0.165490i
$25$	−5.72978	−	7.18492i	−1.14596	−	1.43698i
$26$	−0.0989770	−	0.0449974i	−0.0194110	−	0.00882472i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	−3.12293	−	4.27169i	−0.590178	−	0.807273i
$29$	1.35757	−	5.94790i	0.252094	−	1.10450i	−0.677386	−	0.735627i	$-0.736888\pi$
$29$	1.35757	−	5.94790i	0.252094	−	1.10450i	0.929481	−	0.368870i	$-0.120255\pi$
$30$	−3.22862	+	4.23742i	−0.589463	+	0.773643i
$31$	0.0893613			0.0160498			0.00802488	−	0.999968i	$-0.497446\pi$
$31$	0.0893613			0.0160498			0.00802488	+	0.999968i	$0.497446\pi$
$32$	−1.87727	+	5.33628i	−0.331858	+	0.943330i
$33$	1.93389	+	4.01576i	0.336647	+	0.699055i
$34$	8.04057	−	0.177769i	1.37895	−	0.0304871i
$35$	−9.48972	−	3.04535i	−1.60406	−	0.514759i
$36$	1.83853	+	0.787280i	0.306422	+	0.131213i
$37$	1.67314	−	7.33048i	0.275062	−	1.20512i	−0.628892	−	0.777493i	$-0.716491\pi$
$37$	1.67314	−	7.33048i	0.275062	−	1.20512i	0.903953	−	0.427631i	$-0.140652\pi$
$38$	−11.4429	+	2.87929i	−1.85629	+	0.467083i
$39$	0.0333572	+	0.0692669i	0.00534143	+	0.0110916i
$40$	3.05399	+	10.2074i	0.482878	+	1.61394i
$41$	−2.59948	+	5.39787i	−0.405970	+	0.843006i	0.593307	+	0.804977i	$0.297822\pi$
$41$	−2.59948	+	5.39787i	−0.405970	+	0.843006i	−0.999277	+	0.0380290i	$0.987892\pi$
$42$	−0.239392	+	3.73399i	−0.0369390	+	0.576167i
$43$	1.87459	+	3.89263i	0.285873	+	0.593621i	0.993612	−	0.112853i	$-0.0359990\pi$
$43$	1.87459	+	3.89263i	0.285873	+	0.593621i	−0.707739	+	0.706474i	$0.750285\pi$
$44$	8.77000	+	1.59758i	1.32213	+	0.240845i
$45$	3.67250	−	0.838224i	0.547464	−	0.124955i
$46$	8.10778	−	4.12771i	1.19543	−	0.608597i
$47$	0.265244	−	0.332606i	0.0386899	−	0.0485155i	−0.762110	−	0.647447i	$-0.775837\pi$
$47$	0.265244	−	0.332606i	0.0386899	−	0.0485155i	0.800800	+	0.598932i	$0.204408\pi$
$48$	3.43654	−	2.04700i	0.496021	−	0.295459i
$49$	−6.73404	+	1.91120i	−0.962006	+	0.273029i
$50$	10.3376	+	7.87656i	1.46196	+	1.11391i
$51$	−4.44622	−	3.54574i	−0.622596	−	0.496504i
$52$	0.151272	+	0.0275563i	0.0209776	+	0.00382137i
$53$	−1.25947	−	5.51810i	−0.173002	−	0.757969i	−0.984752	−	0.173965i	$-0.944342\pi$
$53$	−1.25947	−	5.51810i	−0.173002	−	0.757969i	0.811750	−	0.584005i	$-0.198515\pi$
$54$	−0.641618	−	1.26029i	−0.0873131	−	0.171504i
$55$	15.1272	−	7.28485i	2.03974	−	0.982289i
$56$	5.75711	+	4.78077i	0.769326	+	0.638857i
$57$	7.51730	+	3.62014i	0.995691	+	0.479500i
$58$	0.190708	+	8.62582i	0.0250412	+	1.13263i
$59$	3.16168	−	1.52258i	0.411616	−	0.198224i	−0.216604	−	0.976260i	$-0.569498\pi$
$59$	3.16168	−	1.52258i	0.411616	−	0.198224i	0.628220	+	0.778036i	$0.283784\pi$
$60$	2.96564	−	6.92563i	0.382862	−	0.894095i
$61$	9.24207	+	2.10944i	1.18333	+	0.270086i	0.768521	−	0.639824i	$-0.220993\pi$
$61$	9.24207	+	2.10944i	1.18333	+	0.270086i	0.414805	+	0.909910i	$0.363850\pi$
$62$	−0.122556	+	0.0308377i	−0.0155646	+	0.00391640i
$63$	1.82143	−	1.91896i	0.229478	−	0.241766i
$64$	0.733107	−	7.96634i	0.0916384	−	0.995792i
$65$	0.260925	−	0.125655i	0.0323637	−	0.0155855i
$66$	−4.03806	−	4.84011i	−0.497051	−	0.595776i
$67$		−	0.257085i		−	0.0314079i	−0.999877	−	0.0157039i	$-0.995001\pi$
$67$		−	0.257085i		−	0.0314079i	0.999877	−	0.0157039i	$-0.00499893\pi$
$68$	−10.9660	+	3.01853i	−1.32982	+	0.366051i
$69$	−6.27198	−	1.43154i	−0.755058	−	0.172337i
$70$	14.0657	+	0.901776i	1.68118	+	0.107783i
$71$	−8.57858	+	1.95800i	−1.01809	+	0.232372i	−0.698825	−	0.715293i	$-0.746293\pi$
$71$	−8.57858	+	1.95800i	−1.01809	+	0.232372i	−0.319265	+	0.947665i	$0.603436\pi$
$72$	−2.79316	−	0.445267i	−0.329177	−	0.0524752i
$73$	−1.62689	+	1.29740i	−0.190413	+	0.151849i	−0.714056	−	0.700088i	$-0.753144\pi$
$73$	−1.62689	+	1.29740i	−0.190413	+	0.151849i	0.523643	+	0.851938i	$0.324572\pi$
$74$	0.235038	+	10.6309i	0.0273226	+	1.23581i
$75$	−2.04494	−	8.95945i	−0.236129	−	1.03455i
$76$	14.6999	−	7.89769i	1.68620	−	0.905927i
$77$	6.01159	−	10.1452i	0.685085	−	1.15615i
$78$	−0.0696516	−	0.0834858i	−0.00788649	−	0.00945291i
$79$			3.00184i			0.337733i	0.985639	+	0.168867i	$0.0540107\pi$
$79$			3.00184i			0.337733i	−0.985639	+	0.168867i	$0.945989\pi$
$80$	−7.71093	−	12.9452i	−0.862108	−	1.44732i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	1.70233	−	8.30004i	0.187991	−	0.916586i
$83$	9.36338	+	11.7413i	1.02776	+	1.28878i	0.956629	+	0.291309i	$0.0940909\pi$
$83$	9.36338	+	11.7413i	1.02776	+	1.28878i	0.0711357	+	0.997467i	$0.477338\pi$
$84$	−0.960248	−	5.20365i	−0.104772	−	0.567764i
$85$	−13.3566	+	16.7487i	−1.44873	+	1.81665i
$86$	−3.91425	−	4.69170i	−0.422084	−	0.505919i
$87$	3.80383	−	4.76985i	0.407813	−	0.511381i
$88$	−12.5790	+	0.835419i	−1.34093	+	0.0890560i
$89$	6.00822	−	4.79140i	0.636870	−	0.507887i	−0.250997	−	0.967988i	$-0.580758\pi$
$89$	6.00822	−	4.79140i	0.636870	−	0.507887i	0.887867	+	0.460101i	$0.152187\pi$
$90$	−4.74743	+	2.41694i	−0.500423	+	0.254768i
$91$	0.103693	−	0.174992i	0.0108699	−	0.0183441i
$92$	−9.69510	+	8.45892i	−1.01078	+	0.881903i
$93$	0.0805117	+	0.0387724i	0.00834868	+	0.00402051i
$94$	−0.248994	+	0.547690i	−0.0256817	+	0.0564899i
$95$	13.6369	−	28.3173i	1.39911	−	2.90529i
$96$	−4.00669	+	3.99330i	−0.408931	+	0.407565i
$97$			1.98364i			0.201408i	0.994916	+	0.100704i	$0.0321095\pi$
$97$			1.98364i			0.201408i	−0.994916	+	0.100704i	$0.967891\pi$
$98$	8.57595	−	4.94500i	0.866302	−	0.499520i
$99$			4.45716i			0.447962i
$100$	−16.8958	−	7.23499i	−1.68958	−	0.723499i
$101$	−2.35672	+	4.89378i	−0.234502	+	0.486949i	−0.984699	−	0.174266i	$-0.944245\pi$
$101$	−2.35672	+	4.89378i	−0.234502	+	0.486949i	0.750196	+	0.661215i	$0.229959\pi$
$102$	7.32144	+	3.32851i	0.724930	+	0.329572i
$103$	−5.06447	−	2.43892i	−0.499017	−	0.240314i	0.167405	−	0.985888i	$-0.446461\pi$
$103$	−5.06447	−	2.43892i	−0.499017	−	0.240314i	−0.666423	+	0.745574i	$0.732175\pi$
$104$	−0.216973	+	0.0144099i	−0.0212759	+	0.00141301i
$105$	−7.22861	−	6.86120i	−0.705441	−	0.669585i
$106$	3.63156	+	7.13324i	0.352728	+	0.692841i
$107$	1.97319	−	1.57357i	0.190755	−	0.152122i	−0.523455	−	0.852053i	$-0.675357\pi$
$107$	1.97319	−	1.57357i	0.190755	−	0.152122i	0.714211	+	0.699931i	$0.246786\pi$
$108$	1.31487	+	1.50702i	0.126523	+	0.145013i
$109$	−5.78930	+	7.25955i	−0.554514	+	0.695339i	−0.977533	−	0.210782i	$-0.932399\pi$
$109$	−5.78930	+	7.25955i	−0.554514	+	0.695339i	0.423019	+	0.906121i	$0.360970\pi$
$110$	−18.2324	+	15.2112i	−1.73839	+	1.45033i
$111$	4.68802	−	5.87859i	0.444967	−	0.557971i
$112$	−9.54546	−	4.56993i	−0.901961	−	0.431817i
$113$	12.8097	+	16.0628i	1.20503	+	1.51106i	0.803598	+	0.595172i	$0.202916\pi$
$113$	12.8097	+	16.0628i	1.20503	+	1.51106i	0.401433	+	0.915889i	$0.368512\pi$
$114$	−11.5590	−	2.37074i	−1.08260	−	0.222040i
$115$	−5.39252	+	23.6262i	−0.502855	+	2.20315i
$116$	−3.23824	−	11.7642i	−0.300663	−	1.09228i
$117$			0.0768805i			0.00710760i
$118$	−3.81070	+	3.17924i	−0.350803	+	0.292672i
$119$	−1.29432	+	14.9904i	−0.118650	+	1.37417i
$120$	−1.67730	+	10.5217i	−0.153115	+	0.960493i
$121$	1.97294	+	8.64400i	0.179358	+	0.785818i
$122$	−13.4031	+	0.296329i	−1.21346	+	0.0268284i
$123$	−4.68410	+	3.73544i	−0.422351	+	0.336813i
$124$	0.157439	−	0.0845857i	0.0141384	−	0.00759602i
$125$	−15.3872	+	3.51203i	−1.37628	+	0.314126i
$126$	−1.83580	+	3.26034i	−0.163546	+	0.290454i
$127$	10.7669	+	2.45748i	0.955410	+	0.218066i	0.671683	−	0.740839i	$-0.265572\pi$
$127$	10.7669	+	2.45748i	0.955410	+	0.218066i	0.283727	+	0.958905i	$0.408429\pi$
$128$	1.74368	+	11.1785i	0.154121	+	0.988052i
$129$			4.32049i			0.380398i
$130$	−0.314486	+	0.262373i	−0.0275823	+	0.0230117i
$131$	−6.73614	+	3.24395i	−0.588539	+	0.283426i	−0.704358	−	0.709845i	$-0.748765\pi$
$131$	−6.73614	+	3.24395i	−0.588539	+	0.283426i	0.115819	+	0.993270i	$0.463051\pi$
$132$	7.20833	+	5.24453i	0.627405	+	0.456478i
$133$	−3.04260	−	21.8643i	−0.263827	−	1.89588i
$134$	0.0887175	+	0.352582i	0.00766403	+	0.0304585i
$135$	3.67250	+	0.838224i	0.316078	+	0.0721428i
$136$	13.9978	−	7.92407i	1.20030	−	0.679484i
$137$	5.64705	−	2.71948i	0.482460	−	0.232341i	−0.176812	−	0.984245i	$-0.556579\pi$
$137$	5.64705	−	2.71948i	0.482460	−	0.232341i	0.659273	+	0.751904i	$0.270864\pi$
$138$	9.09580	−	0.201099i	0.774286	−	0.0171187i
$139$	4.34349	+	2.09172i	0.368410	+	0.177417i	0.608924	−	0.793229i	$-0.291602\pi$
$139$	4.34349	+	2.09172i	0.368410	+	0.177417i	−0.240514	+	0.970646i	$0.577316\pi$
$140$	−19.6018	+	3.61720i	−1.65666	+	0.305709i
$141$	0.383289	−	0.184582i	0.0322788	−	0.0155446i
$142$	11.0895	−	5.64572i	0.930612	−	0.473778i
$143$	0.0762510	+	0.334077i	0.00637643	+	0.0279370i
$144$	3.98437	−	0.353226i	0.332031	−	0.0294355i
$145$	−17.9677	−	14.3288i	−1.49214	−	1.18994i
$146$	1.78350	−	2.34076i	0.147603	−	0.193723i
$147$	−6.89640	−	1.19986i	−0.568806	−	0.0989625i
$148$	−3.99096	−	14.4988i	−0.328055	−	1.19179i
$149$	−3.13413	+	3.93007i	−0.256758	+	0.321964i	−0.893458	−	0.449148i	$-0.851728\pi$
$149$	−3.13413	+	3.93007i	−0.256758	+	0.321964i	0.636700	+	0.771112i	$0.280299\pi$
$150$	5.89638	+	11.5819i	0.481437	+	0.945655i
$151$	−11.3242	+	2.58466i	−0.921546	+	0.210337i	−0.656873	−	0.754001i	$-0.728121\pi$
$151$	−11.3242	+	2.58466i	−0.921546	+	0.210337i	−0.264673	+	0.964338i	$0.585264\pi$
$152$	−17.4350	+	15.9042i	−1.41416	+	1.29000i
$153$	−2.46747	−	5.12375i	−0.199483	−	0.414231i
$154$	−4.74367	+	15.9883i	−0.382256	+	1.28837i
$155$	0.146053	−	0.303283i	0.0117313	−	0.0243603i
$156$	0.124335	+	0.0904617i	0.00995475	+	0.00724273i
$157$	7.15561	+	14.8588i	0.571080	+	1.18586i	0.963905	+	0.266246i	$0.0857835\pi$
$157$	7.15561	+	14.8588i	0.571080	+	1.18586i	−0.392825	+	0.919613i	$0.628502\pi$
$158$	−1.03591	−	4.11691i	−0.0824123	−	0.327524i
$159$	1.25947	−	5.51810i	0.0998825	−	0.437614i
$160$	15.0425	+	15.0930i	1.18922	+	1.19320i
$161$	6.03851	+	15.9137i	0.475901	+	1.25417i
$162$	−0.0312592	−	1.41387i	−0.00245595	−	0.111084i
$163$	0.490893	+	1.01935i	0.0384497	+	0.0798416i	0.919309	−	0.393537i	$-0.128749\pi$
$163$	0.490893	+	1.01935i	0.0384497	+	0.0798416i	−0.880859	+	0.473378i	$0.843034\pi$
$164$	0.529577	+	11.9707i	0.0413530	+	0.934751i
$165$	16.7899			1.30709
$166$	−16.8934	−	12.8716i	−1.31118	−	0.999027i
$167$	−1.08277	+	4.74391i	−0.0837870	+	0.367095i	−0.999388	−	0.0349945i	$-0.988859\pi$
$167$	−1.08277	+	4.74391i	−0.0837870	+	0.367095i	0.915601	+	0.402089i	$0.131716\pi$
$168$	3.11268	+	6.80524i	0.240148	+	0.525035i
$169$	−2.89146	−	12.6683i	−0.222420	−	0.974485i
$170$	12.5383	−	27.5794i	0.961644	−	2.11525i
$171$	5.20214	+	6.52327i	0.397817	+	0.498847i
$172$	6.98731	+	5.08372i	0.532777	+	0.387630i
$173$	−4.19969	+	0.958553i	−0.319297	+	0.0728774i	−0.379166	−	0.925329i	$-0.623789\pi$
$173$	−4.19969	+	0.958553i	−0.319297	+	0.0728774i	0.0598688	+	0.998206i	$0.480932\pi$
$174$	−3.57078	+	7.85434i	−0.270700	+	0.595436i
$175$	−16.7386	+	17.6350i	−1.26532	+	1.33308i
$176$	16.9634	−	5.48666i	1.27867	−	0.413573i
$177$	3.50920			0.263768
$178$	−6.58659	+	8.64461i	−0.493686	+	0.647941i
$179$	−18.0438	−	4.11838i	−1.34866	−	0.307822i	−0.513621	−	0.858017i	$-0.671696\pi$
$179$	−18.0438	−	4.11838i	−1.34866	−	0.307822i	−0.835037	+	0.550195i	$0.814554\pi$
$180$	5.67687	−	4.95304i	0.423129	−	0.369178i
$181$	−4.01113	+	3.19877i	−0.298145	+	0.237763i	−0.761124	−	0.648607i	$-0.775352\pi$
$181$	−4.01113	+	3.19877i	−0.298145	+	0.237763i	0.462979	+	0.886369i	$0.346781\pi$
$182$	−0.0818225	+	0.275778i	−0.00606508	+	0.0204420i
$183$	7.41157	+	5.91053i	0.547879	+	0.436919i
$184$	10.3774	−	14.9468i	0.765030	−	1.10189i
$185$	−22.1443	−	17.6595i	−1.62808	−	1.29835i
$186$	−0.123799	−	0.0253911i	−0.00907737	−	0.00186176i
$187$	−15.8040	−	19.8175i	−1.15570	−	1.44920i
$188$	0.152483	−	0.837062i	0.0111210	−	0.0610491i
$189$	2.47365	−	0.938637i	0.179932	−	0.0682758i
$190$	−8.93045	+	43.5420i	−0.647883	+	3.15887i
$191$	3.00513	−	6.24021i	0.217443	−	0.451526i	−0.763503	−	0.645804i	$-0.776522\pi$
$191$	3.00513	−	6.24021i	0.217443	−	0.451526i	0.980946	+	0.194278i	$0.0622365\pi$
$192$	4.11697	−	6.85934i	0.297117	−	0.495030i
$193$	−16.5445	−	7.96742i	−1.19090	−	0.573507i	−0.269831	−	0.962908i	$-0.586968\pi$
$193$	−16.5445	−	7.96742i	−1.19090	−	0.573507i	−0.921069	+	0.389400i	$0.872682\pi$
$194$	−0.684535	−	2.72049i	−0.0491467	−	0.195320i
$195$	0.289604			0.0207390
$196$	−10.0551	+	9.74137i	−0.718224	+	0.695812i
$197$	25.1794			1.79395			0.896977	−	0.442077i	$-0.145758\pi$
$197$	25.1794			1.79395			0.896977	+	0.442077i	$0.145758\pi$
$198$	−1.53813	−	6.11284i	−0.109310	−	0.434420i
$199$	−16.7246	−	8.05416i	−1.18558	−	0.570944i	−0.266047	−	0.963960i	$-0.585717\pi$
$199$	−16.7246	−	8.05416i	−1.18558	−	0.570944i	−0.919532	+	0.393016i	$0.871432\pi$
$200$	25.6687	+	4.09194i	1.81505	+	0.289344i
$201$	0.111545	−	0.231625i	0.00786777	−	0.0163376i
$202$	1.54336	−	7.52492i	0.108590	−	0.529452i
$203$	−16.0815	−	1.38853i	−1.12870	−	0.0974555i
$204$	−11.1897	−	2.03837i	−0.783437	−	0.142714i
$205$	14.0712	+	17.6447i	0.982775	+	1.23236i
$206$	7.78739	+	1.59719i	0.542573	+	0.111281i
$207$	−5.02974	−	4.01108i	−0.349591	−	0.278790i
$208$	0.292598	−	0.0946380i	0.0202880	−	0.00656197i
$209$	29.0753	+	23.1868i	2.01118	+	1.60386i
$210$	12.2815	+	6.91536i	0.847505	+	0.477205i
$211$	−2.77179	+	2.21043i	−0.190818	+	0.152172i	−0.714239	−	0.699902i	$-0.753227\pi$
$211$	−2.77179	+	2.21043i	−0.190818	+	0.152172i	0.523421	+	0.852074i	$0.324656\pi$
$212$	−7.44217	−	8.52976i	−0.511130	−	0.585826i
$213$	−8.57858	−	1.95800i	−0.587794	−	0.134160i
$214$	−2.16313	+	2.83902i	−0.147869	+	0.194071i
$215$	16.2751			1.10995
$216$	−2.32336	−	1.61308i	−0.158084	−	0.109756i
$217$	−0.0325868	−	0.234171i	−0.00221214	−	0.0158966i
$218$	5.43461	−	11.9540i	0.368078	−	0.809630i
$219$	−2.02870	+	0.463037i	−0.137087	+	0.0312891i
$220$	19.7559	−	27.1534i	1.33194	−	1.83068i
$221$	−0.272599	−	0.341828i	−0.0183370	−	0.0229938i
$222$	−4.40080	+	9.68007i	−0.295363	+	0.649684i
$223$	−0.322048	−	1.41098i	−0.0215659	−	0.0944864i	0.963000	−	0.269503i	$-0.0868593\pi$
$223$	−0.322048	−	1.41098i	−0.0215659	−	0.0944864i	−0.984566	+	0.175016i	$0.944002\pi$
$224$	14.6683	+	2.97344i	0.980066	+	0.198671i
$225$	2.04494	−	8.95945i	0.136329	−	0.597296i
$226$	−23.1111	−	17.6090i	−1.53733	−	1.17134i
$227$	11.1496			0.740023			0.370011	−	0.929027i	$-0.379354\pi$
$227$	11.1496			0.740023			0.370011	+	0.929027i	$0.379354\pi$
$228$	16.6709	−	0.737512i	1.10405	−	0.0488429i
$229$	11.6347	+	24.1596i	0.768841	+	1.59651i	0.802189	+	0.597071i	$0.203669\pi$
$229$	11.6347	+	24.1596i	0.768841	+	1.59651i	−0.0333478	+	0.999444i	$0.510617\pi$
$230$	−0.757529	−	34.2634i	−0.0499500	−	2.25926i
$231$	9.81809	−	6.53216i	0.645983	−	0.429785i
$232$	8.50083	+	15.0167i	0.558107	+	0.985892i
$233$	−3.52263	+	15.4336i	−0.230775	+	1.01109i	0.718224	+	0.695812i	$0.244955\pi$
$233$	−3.52263	+	15.4336i	−0.230775	+	1.01109i	−0.948999	+	0.315279i	$0.897902\pi$
$234$	−0.0265307	−	0.105439i	−0.00173437	−	0.00689275i
$235$	−0.695311	−	1.44383i	−0.0453571	−	0.0941849i
$236$	4.12911	−	5.67524i	0.268782	−	0.369427i
$237$	−1.30245	+	2.70456i	−0.0846031	+	0.175680i
$238$	−3.39795	−	21.0055i	−0.220256	−	1.36158i
$239$	3.18491	+	6.61353i	0.206015	+	0.427794i	0.978218	−	0.207582i	$-0.0665594\pi$
$239$	3.18491	+	6.61353i	0.206015	+	0.427794i	−0.772203	+	0.635376i	$0.780845\pi$
$240$	−1.33058	−	15.0089i	−0.0858886	−	0.968821i
$241$	8.17989	−	1.86701i	0.526913	−	0.120264i	0.0492144	−	0.998788i	$-0.484328\pi$
$241$	8.17989	−	1.86701i	0.526913	−	0.120264i	0.477699	+	0.878524i	$0.341471\pi$
$242$	−5.68877	−	11.1741i	−0.365688	−	0.718298i
$243$	−0.623490	+	0.781831i	−0.0399969	+	0.0501545i
$244$	18.2796	−	5.03170i	1.17023	−	0.322121i
$245$	−4.51979	+	25.9783i	−0.288759	+	1.65970i
$246$	5.13500	−	6.73946i	0.327396	−	0.429692i
$247$	0.501512	+	0.399943i	0.0319105	+	0.0254477i
$248$	−0.186732	+	0.170337i	−0.0118575	+	0.0108164i
$249$	3.34175	+	14.6412i	0.211775	+	0.927847i
$250$	19.8911	−	10.1266i	1.25802	−	0.640464i
$251$	7.50388	−	3.61368i	0.473641	−	0.228093i	−0.181807	−	0.983334i	$-0.558194\pi$
$251$	7.50388	−	3.61368i	0.473641	−	0.228093i	0.655447	+	0.755241i	$0.272480\pi$
$252$	1.39262	−	5.10496i	0.0877270	−	0.321582i
$253$	−25.8345	−	12.4413i	−1.62420	−	0.782175i
$254$	−15.6145	+	0.345221i	−0.979741	+	0.0216611i
$255$	−19.3009	+	9.29481i	−1.20867	+	0.582063i
$256$	−6.24900	−	14.7292i	−0.390563	−	0.920576i
$257$	−14.8690	−	3.39375i	−0.927502	−	0.211696i	−0.268017	−	0.963414i	$-0.586368\pi$
$257$	−14.8690	−	3.39375i	−0.927502	−	0.211696i	−0.659485	+	0.751718i	$0.729226\pi$
$258$	−1.49096	−	5.92540i	−0.0928233	−	0.368899i
$259$	−19.8197	−	1.71129i	−1.23153	−	0.106334i
$260$	0.340764	−	0.468362i	0.0211333	−	0.0290466i
$261$	5.49669	−	2.64707i	0.340236	−	0.163849i
$262$	8.11891	−	6.77355i	0.501588	−	0.418471i
$263$			5.98284i			0.368918i	0.982840	+	0.184459i	$0.0590533\pi$
$263$			5.98284i			0.368918i	−0.982840	+	0.184459i	$0.940947\pi$
$264$	−11.6958	−	4.70516i	−0.719827	−	0.289582i
$265$	−20.7864	−	4.74435i	−1.27690	−	0.291443i
$266$	11.7180	+	28.9362i	0.718477	+	1.77419i
$267$	7.49213	−	1.71003i	0.458511	−	0.104652i
$268$	−0.243346	−	0.452938i	−0.0148647	−	0.0276676i
$269$	12.4542	−	9.93187i	0.759344	−	0.605557i	−0.165364	−	0.986233i	$-0.552880\pi$
$269$	12.4542	−	9.93187i	0.759344	−	0.605557i	0.924709	+	0.380676i	$0.124309\pi$
$270$	−5.32596	+	0.117752i	−0.324128	+	0.00716613i
$271$	4.54435	+	19.9101i	0.276049	+	1.20945i	0.902741	+	0.430184i	$0.141551\pi$
$271$	4.54435	+	19.9101i	0.276049	+	1.20945i	−0.626692	+	0.779267i	$0.715592\pi$
$272$	−16.4630	+	15.6981i	−0.998214	+	0.951837i
$273$	0.169350	−	0.112672i	0.0102495	−	0.00681920i
$274$	−6.80626	+	5.67841i	−0.411181	+	0.343045i
$275$		−	40.9607i		−	2.47002i
$276$	−12.4052	+	3.41468i	−0.746703	+	0.205539i
$277$	1.15096	−	5.04269i	0.0691545	−	0.302986i	−0.928509	−	0.371311i	$-0.878908\pi$
$277$	1.15096	−	5.04269i	0.0691545	−	0.302986i	0.997663	+	0.0683251i	$0.0217655\pi$
$278$	−6.67877	−	1.36981i	−0.400566	−	0.0821559i
$279$	0.0557158	+	0.0698654i	0.00333562	+	0.00418273i
$280$	25.6349	−	11.7253i	1.53198	−	0.700719i
$281$	14.1158	−	17.7007i	0.842081	−	1.05594i	−0.155596	−	0.987821i	$-0.549730\pi$
$281$	14.1158	−	17.7007i	0.842081	−	1.05594i	0.997677	−	0.0681154i	$-0.0216986\pi$
$282$	−0.461969	+	0.385417i	−0.0275099	+	0.0229513i
$283$	−0.873038	+	1.09475i	−0.0518967	+	0.0650764i	−0.807102	−	0.590411i	$-0.798966\pi$
$283$	−0.873038	+	1.09475i	−0.0518967	+	0.0650764i	0.755206	+	0.655488i	$0.227537\pi$
$284$	−13.2606	+	11.5698i	−0.786871	+	0.686541i
$285$	24.5728	−	19.5961i	1.45557	−	1.16078i
$286$	−0.219862	−	0.431862i	−0.0130007	−	0.0255365i
$287$	15.0931	+	4.84352i	0.890915	+	0.285904i
$288$	−5.34253	+	1.85941i	−0.314811	+	0.109567i
$289$	13.8219	+	6.65630i	0.813056	+	0.391547i
$290$	29.5868	+	13.4509i	1.73740	+	0.789865i
$291$	−0.860668	+	1.78720i	−0.0504533	+	0.104767i
$292$	−1.63823	+	3.82574i	−0.0958699	+	0.223884i
$293$		−	10.4140i		−	0.608393i	−0.952609	−	0.304196i	$-0.901612\pi$
$293$		−	10.4140i		−	0.608393i	0.952609	−	0.304196i	$-0.0983879\pi$
$294$	9.87222	−	0.734325i	0.575760	−	0.0428267i
$295$		−	13.2190i		−	0.769637i
$296$	10.4768	+	18.5073i	0.608954	+	1.07571i
$297$	−1.93389	+	4.01576i	−0.112216	+	0.233018i
$298$	2.94211	−	6.47151i	0.170432	−	0.374885i
$299$	−0.445613	−	0.214596i	−0.0257705	−	0.0124104i
$300$	−12.0835	−	13.8493i	−0.697639	−	0.799591i
$301$	9.51704	−	6.33187i	0.548553	−	0.364963i
$302$	14.6387	−	7.45263i	0.842364	−	0.428851i
$303$	−4.24666	+	3.38660i	−0.243964	+	0.194555i
$304$	18.4231	−	27.8287i	1.05664	−	1.59608i
$305$	22.2646	−	27.9189i	1.27487	−	1.59863i
$306$	5.15220	+	6.17554i	0.294532	+	0.353032i
$307$	−12.6385	+	15.8481i	−0.721315	+	0.904501i	−0.998412	−	0.0563413i	$-0.982056\pi$
$307$	−12.6385	+	15.8481i	−0.721315	+	0.904501i	0.277096	+	0.960842i	$0.410628\pi$
$308$	0.988363	−	23.5644i	0.0563172	−	1.34270i
$309$	−3.50472	−	4.39479i	−0.199377	−	0.250011i
$310$	−0.0956468	+	0.466343i	−0.00543237	+	0.0264865i
$311$	−7.04714	+	30.8755i	−0.399607	+	1.75079i	0.229343	+	0.973346i	$0.426342\pi$
$311$	−7.04714	+	30.8755i	−0.399607	+	1.75079i	−0.628950	+	0.777446i	$0.716515\pi$
$312$	−0.201738	−	0.0811581i	−0.0114212	−	0.00459467i
$313$			16.9127i			0.955961i	0.878371	+	0.477980i	$0.158631\pi$
$313$			16.9127i			0.955961i	−0.878371	+	0.477980i	$0.841369\pi$
$314$	−14.9413	−	17.9089i	−0.843186	−	1.01066i
$315$	−3.53579	−	9.31811i	−0.199219	−	0.525016i
$316$	2.84142	+	5.28871i	0.159842	+	0.297513i
$317$	−5.41319	−	23.7167i	−0.304035	−	1.33206i	−0.863977	−	0.503532i	$-0.832034\pi$
$317$	−5.41319	−	23.7167i	−0.304035	−	1.33206i	0.559942	−	0.828532i	$-0.310823\pi$
$318$	0.176927	+	8.00250i	0.00992159	+	0.448758i
$319$	21.2600	−	16.9543i	1.19033	−	0.949257i
$320$	−25.8387	−	15.5084i	−1.44443	−	0.866946i
$321$	2.46053	−	0.561599i	0.137333	−	0.0313454i
$322$	−13.7733	−	19.7412i	−0.767554	−	1.10014i
$323$	−46.2597	−	10.5585i	−2.57396	−	0.587489i
$324$	0.530784	+	1.92828i	0.0294880	+	0.107127i
$325$		−	0.706521i		−	0.0391907i
$326$	−1.02501	−	1.22860i	−0.0567700	−	0.0680457i
$327$	−8.36578	+	4.02875i	−0.462629	+	0.222790i
$328$	−4.85726	−	16.2346i	−0.268197	−	0.896404i
$329$	−0.968318	−	0.573783i	−0.0533851	−	0.0316337i
$330$	−23.0267	+	5.79403i	−1.26758	+	0.318951i
$331$	16.3050	+	3.72152i	0.896205	+	0.204553i	0.645726	−	0.763569i	$-0.276555\pi$
$331$	16.3050	+	3.72152i	0.896205	+	0.204553i	0.250479	+	0.968122i	$0.419412\pi$
$332$	27.6105	+	11.8231i	1.51532	+	0.648879i
$333$	6.77439	−	3.26237i	0.371234	−	0.178777i
$334$	−0.152104	−	6.87975i	−0.00832278	−	0.376443i
$335$	−0.872519	−	0.420183i	−0.0476708	−	0.0229570i
$336$	−6.61734	−	8.25898i	−0.361006	−	0.450564i
$337$	16.9468	−	8.16117i	0.923153	−	0.444567i	0.0889573	−	0.996035i	$-0.471647\pi$
$337$	16.9468	−	8.16117i	0.923153	−	0.444567i	0.834196	+	0.551468i	$0.185932\pi$
$338$	8.33724	+	16.3763i	0.453486	+	0.890753i
$339$	4.57171	+	20.0300i	0.248301	+	1.08788i
$340$	−7.67842	+	42.1510i	−0.416421	+	2.28596i
$341$	0.311402	+	0.248335i	0.0168633	+	0.0134481i
$342$	−9.38566	−	7.15122i	−0.507518	−	0.386694i
$343$	7.46397	+	16.9496i	0.403016	+	0.915193i
$344$	−11.3372	−	4.56088i	−0.611260	−	0.245906i
$345$	−15.1095	+	18.9467i	−0.813469	+	1.02006i
$346$	5.42894	−	2.76390i	0.291862	−	0.148588i
$347$	10.0370	−	2.29088i	0.538814	−	0.122981i	0.0555507	−	0.998456i	$-0.482309\pi$
$347$	10.0370	−	2.29088i	0.538814	−	0.122981i	0.483263	+	0.875475i	$0.339451\pi$
$348$	2.18673	−	12.0042i	0.117221	−	0.643492i
$349$	8.79407	+	18.2611i	0.470736	+	0.977493i	0.992251	+	0.124251i	$0.0396528\pi$
$349$	8.79407	+	18.2611i	0.470736	+	0.977493i	−0.521515	+	0.853242i	$0.674633\pi$
$350$	16.8708	−	29.9621i	0.901780	−	1.60154i
$351$	−0.0333572	+	0.0692669i	−0.00178048	+	0.00369720i
$352$	−21.3713	+	13.3787i	−1.13909	+	0.713085i
$353$	−12.3477	−	25.6403i	−0.657202	−	1.36469i	−0.916944	−	0.399016i	$-0.869352\pi$
$353$	−12.3477	−	25.6403i	−0.657202	−	1.36469i	0.259742	−	0.965678i	$-0.416362\pi$
$354$	−4.81274	+	1.21099i	−0.255794	+	0.0643635i
$355$	−7.37569	+	32.3150i	−0.391461	+	1.71510i
$356$	6.05009	−	14.1287i	0.320654	−	0.748821i
$357$	−7.67025	+	12.9443i	−0.405953	+	0.685087i
$358$	26.1676	−	0.578540i	1.38300	−	0.0305768i
$359$	0.123646	+	0.256753i	0.00652577	+	0.0135509i	0.904206	−	0.427096i	$-0.140463\pi$
$359$	0.123646	+	0.256753i	0.00652577	+	0.0135509i	−0.897681	+	0.440647i	$0.854749\pi$
$360$	−6.07637	+	8.75194i	−0.320253	+	0.461268i
$361$	50.6153			2.66396
$362$	4.39725	−	5.77120i	0.231114	−	0.303327i
$363$	−1.97294	+	8.64400i	−0.103552	+	0.453692i
$364$	0.0170480	−	0.406456i	0.000893560	−	0.0213041i
$365$	1.74423	+	7.64198i	0.0912973	+	0.399999i
$366$	−12.2044	−	5.54841i	−0.637932	−	0.290020i
$367$	21.4848	+	26.9411i	1.12150	+	1.40632i	0.902552	+	0.430580i	$0.141691\pi$
$367$	21.4848	+	26.9411i	1.12150	+	1.40632i	0.218948	+	0.975737i	$0.429738\pi$
$368$	−9.07420	+	24.0801i	−0.473025	+	1.25526i
$369$	−5.84097	+	1.33316i	−0.304069	+	0.0694017i
$370$	36.4643	+	16.5776i	1.89569	+	0.861827i
$371$	−14.0009	+	5.31269i	−0.726890	+	0.275821i
$372$	0.178548	−	0.00789889i	0.00925728	−	0.000409538i
$373$	−6.46609			−0.334802			−0.167401	−	0.985889i	$-0.553537\pi$
$373$	−6.46609			−0.334802			−0.167401	+	0.985889i	$0.553537\pi$
$374$	28.5134	+	21.7252i	1.47439	+	1.12339i
$375$	−15.3872	−	3.51203i	−0.794593	−	0.181361i
$376$	0.0797375	+	1.20062i	0.00411215	+	0.0619173i
$377$	0.366708	−	0.292440i	0.0188864	−	0.0150614i
$378$	−3.06861	+	2.14094i	−0.157832	+	0.110118i
$379$	−10.4295	−	8.31721i	−0.535725	−	0.427226i	0.317892	−	0.948127i	$-0.397025\pi$
$379$	−10.4295	−	8.31721i	−0.535725	−	0.427226i	−0.853618	+	0.520900i	$0.825596\pi$
$380$	−2.77817	−	62.7981i	−0.142517	−	3.22148i
$381$	8.63440	+	6.88571i	0.442354	+	0.352765i
$382$	−1.96798	+	9.59527i	−0.100691	+	0.490937i
$383$	−6.27628	−	7.87021i	−0.320703	−	0.402149i	0.595181	−	0.803592i	$-0.297080\pi$
$383$	−6.27628	−	7.87021i	−0.320703	−	0.402149i	−0.915884	+	0.401443i	$0.868509\pi$
$384$	−3.27918	+	10.8281i	−0.167340	+	0.552567i
$385$	−24.6063	−	36.9842i	−1.25405	−	1.88489i
$386$	25.4397	+	5.21767i	1.29485	+	0.265572i
$387$	−1.87459	+	3.89263i	−0.0952909	+	0.197874i
$388$	1.87763	+	3.49482i	0.0953222	+	0.177423i
$389$	−20.3556	−	9.80274i	−1.03207	−	0.497019i	−0.160369	−	0.987057i	$-0.551268\pi$
$389$	−20.3556	−	9.80274i	−1.03207	−	0.497019i	−0.871701	+	0.490038i	$0.836983\pi$
$390$	−0.397182	+	0.0999398i	−0.0201121	+	0.00506065i
$391$	36.5856			1.85021
$392$	10.4286	−	16.8299i	0.526724	−	0.850037i
$393$	−7.47655			−0.377142
$394$	−34.5326	+	8.68916i	−1.73973	+	0.437754i
$395$	10.1879	+	4.90625i	0.512610	+	0.246860i
$396$	4.21897	+	7.85274i	0.212011	+	0.394615i
$397$	−9.26563	+	19.2403i	−0.465028	+	0.965642i	0.528162	+	0.849143i	$0.322881\pi$
$397$	−9.26563	+	19.2403i	−0.465028	+	0.965642i	−0.993191	+	0.116498i	$0.962833\pi$
$398$	25.7167	+	5.27447i	1.28906	+	0.264385i
$399$	6.74530	−	21.0192i	0.337687	−	1.05228i
$400$	−36.6158	+	3.24609i	−1.83079	+	0.162305i
$401$	9.08266	+	11.3893i	0.453566	+	0.568754i	0.955062	−	0.296406i	$-0.0957881\pi$
$401$	9.08266	+	11.3893i	0.453566	+	0.568754i	−0.501496	+	0.865160i	$0.667217\pi$
$402$	−0.0730480	+	0.356159i	−0.00364330	+	0.0177636i
$403$	0.00537129	+	0.00428346i	0.000267563	+	0.000213374i
$404$	0.480122	+	10.8528i	0.0238869	+	0.539945i
$405$	2.94511	+	2.34865i	0.146344	+	0.116705i
$406$	22.5344	−	3.64527i	1.11836	−	0.180912i
$407$	26.2018	−	20.8953i	1.29878	−	1.03574i
$408$	16.0497	−	1.06592i	0.794579	−	0.0527709i
$409$	−25.3227	−	5.77974i	−1.25213	−	0.285790i	−0.455486	−	0.890243i	$-0.650535\pi$
$409$	−25.3227	−	5.77974i	−1.25213	−	0.285790i	−0.796641	+	0.604453i	$0.793392\pi$
$410$	−25.3872	−	19.3433i	−1.25378	−	0.955295i
$411$	6.26775			0.309166
$412$	−11.2313	+	0.496868i	−0.553326	+	0.0244789i
$413$	−5.14288	−	7.72995i	−0.253065	−	0.380366i
$414$	8.28229	+	3.76534i	0.407052	+	0.185056i
$415$	55.1525	−	12.5882i	2.70733	−	0.617930i
$416$	−0.368628	+	0.230765i	−0.0180735	+	0.0113142i
$417$	3.00579	+	3.76914i	0.147194	+	0.184576i
$418$	−47.8772	−	21.7662i	−2.34175	−	1.06462i
$419$	−1.93869	−	8.49397i	−0.0947114	−	0.414958i	0.905239	−	0.424902i	$-0.139692\pi$
$419$	−1.93869	−	8.49397i	−0.0947114	−	0.414958i	−0.999951	+	0.00994465i	$0.996834\pi$
$420$	−19.2301	−	5.24593i	−0.938332	−	0.255975i
$421$	−0.697356	+	3.05532i	−0.0339870	+	0.148907i	−0.989074	−	0.147418i	$-0.952904\pi$
$421$	−0.697356	+	3.05532i	−0.0339870	+	0.148907i	0.955087	+	0.296325i	$0.0957610\pi$
$422$	3.03861	−	3.98805i	0.147917	−	0.194135i
$423$	0.425419			0.0206846
$424$	13.1502	+	9.13003i	0.638630	+	0.443394i
$425$	22.6757	+	47.0865i	1.09993	+	2.28403i
$426$	12.4409	−	0.275056i	0.602763	−	0.0133265i
$427$	2.15755	−	24.9881i	0.104411	−	1.20926i
$428$	1.98694	−	4.64009i	0.0960424	−	0.224287i
$429$	−0.0762510	+	0.334077i	−0.00368143	+	0.0161294i
$430$	−22.3206	+	5.61637i	−1.07640	+	0.270845i
$431$	11.9123	+	24.7362i	0.573797	+	1.19150i	0.962787	+	0.270260i	$0.0871096\pi$
$431$	11.9123	+	24.7362i	0.573797	+	1.19150i	−0.388991	+	0.921242i	$0.627176\pi$
$432$	3.74306	+	1.41051i	0.180088	+	0.0678632i
$433$	−0.392179	+	0.814368i	−0.0188469	+	0.0391360i	−0.910180	−	0.414213i	$-0.864057\pi$
$433$	−0.392179	+	0.814368i	−0.0188469	+	0.0391360i	0.891333	+	0.453349i	$0.149771\pi$
$434$	0.125502	+	0.309912i	0.00602429	+	0.0148762i
$435$	−9.97134	−	20.7057i	−0.478089	−	0.992763i
$436$	−3.32814	+	18.2700i	−0.159389	+	0.874973i
$437$	−52.3308	+	11.9442i	−2.50332	+	0.571366i
$438$	2.62249	−	1.33512i	0.125308	−	0.0637946i
$439$	−5.55109	+	6.96085i	−0.264939	+	0.332223i	−0.896451	−	0.443143i	$-0.853863\pi$
$439$	−5.55109	+	6.96085i	−0.264939	+	0.332223i	0.631512	+	0.775366i	$0.282435\pi$
$440$	−17.7241	+	44.0574i	−0.844961	+	2.10036i
$441$	−5.69284	−	4.07327i	−0.271088	−	0.193965i
$442$	0.491821	+	0.374733i	0.0233935	+	0.0178242i
$443$	14.5397	+	11.5950i	0.690803	+	0.550897i	0.904747	−	0.425949i	$-0.140060\pi$
$443$	14.5397	+	11.5950i	0.690803	+	0.550897i	−0.213944	+	0.976846i	$0.568631\pi$
$444$	2.69504	−	14.7945i	0.127901	−	0.702118i
$445$	−6.44158	−	28.2224i	−0.305360	−	1.33787i
$446$	0.928593	+	1.82398i	0.0439702	+	0.0863677i
$447$	−4.52895	+	2.18103i	−0.214212	+	0.103159i
$448$	−21.1431	+	0.983929i	−0.998919	+	0.0464863i
$449$	−17.1312	−	8.24994i	−0.808470	−	0.389339i	−0.0164738	−	0.999864i	$-0.505244\pi$
$449$	−17.1312	−	8.24994i	−0.808470	−	0.389339i	−0.791997	+	0.610525i	$0.790958\pi$
$450$	0.287268	+	12.9932i	0.0135419	+	0.612507i
$451$	−24.0592	+	11.5863i	−1.13290	+	0.545577i
$452$	37.7727	+	16.1747i	1.77668	+	0.760796i
$453$	−11.3242	−	2.58466i	−0.532055	−	0.121438i
$454$	−15.2912	+	3.84761i	−0.717653	+	0.180577i
$455$	−0.424428	−	0.637931i	−0.0198975	−	0.0299067i
$456$	−22.6090	+	6.76443i	−1.05876	+	0.316773i
$457$	−6.26006	+	3.01469i	−0.292833	+	0.141021i	−0.574533	−	0.818482i	$-0.694816\pi$
$457$	−6.26006	+	3.01469i	−0.292833	+	0.141021i	0.281699	+	0.959503i	$0.409102\pi$
$458$	−24.2938	−	29.1191i	−1.13517	−	1.36064i
$459$		−	5.68693i		−	0.265443i
$460$	12.8629	+	46.7296i	0.599736	+	2.17878i
$461$	3.19807	+	0.729938i	0.148949	+	0.0339966i	0.296345	−	0.955081i	$-0.404232\pi$
$461$	3.19807	+	0.729938i	0.148949	+	0.0339966i	−0.147396	+	0.989078i	$0.547089\pi$
$462$	−11.2110	+	12.3468i	−0.521581	+	0.574423i
$463$	−23.8427	+	5.44194i	−1.10807	+	0.252909i	−0.737131	−	0.675750i	$-0.763820\pi$
$463$	−23.8427	+	5.44194i	−1.10807	+	0.252909i	−0.370935	+	0.928659i	$0.620963\pi$
$464$	−16.8407	−	17.6612i	−0.781810	−	0.819903i
$465$	0.263179	−	0.209878i	0.0122046	−	0.00973287i
$466$	−0.494850	−	22.3823i	−0.0229235	−	1.03684i
$467$	5.21078	+	22.8299i	0.241126	+	1.05644i	0.939994	+	0.341192i	$0.110831\pi$
$467$	5.21078	+	22.8299i	0.241126	+	1.05644i	−0.698867	+	0.715251i	$0.746312\pi$
$468$	0.0727719	+	0.135450i	0.00336388	+	0.00626118i
$469$	−0.673690	+	0.0937494i	−0.0311081	+	0.00432895i
$470$	1.45185	+	1.74021i	0.0669686	+	0.0802700i
$471$			16.4920i			0.759911i
$472$	−3.70445	+	9.20831i	−0.170511	+	0.423847i
$473$	−4.28512	+	18.7743i	−0.197030	+	0.863244i
$474$	0.852941	−	4.15867i	0.0391769	−	0.191014i
$475$	−47.8069	−	59.9479i	−2.19353	−	2.75060i
$476$	11.9090	+	27.6357i	0.545847	+	1.26668i
$477$	3.52896	−	4.42517i	0.161580	−	0.202615i
$478$	−6.65026	−	7.97114i	−0.304176	−	0.364591i
$479$	21.8584	−	27.4096i	0.998737	−	1.25238i	0.0312354	−	0.999512i	$-0.490056\pi$
$479$	21.8584	−	27.4096i	0.998737	−	1.25238i	0.967502	−	0.252865i	$-0.0813727\pi$
$480$	7.00428	+	20.1250i	0.319700	+	0.918576i
$481$	0.451949	−	0.360417i	0.0206071	−	0.0164336i
$482$	−10.5741	+	5.38334i	−0.481639	+	0.245204i
$483$	−1.46418	+	16.9578i	−0.0666226	+	0.771605i
$484$	11.6580	+	13.3617i	0.529910	+	0.607351i
$485$	6.73226	+	3.24209i	0.305696	+	0.147216i
$486$	0.585291	−	1.28741i	0.0265493	−	0.0583983i
$487$	−2.83961	+	5.89652i	−0.128675	+	0.267197i	−0.955346	−	0.295489i	$-0.904517\pi$
$487$	−2.83961	+	5.89652i	−0.128675	+	0.267197i	0.826671	+	0.562685i	$0.190232\pi$
$488$	−23.3334	+	13.2089i	−1.05626	+	0.597939i
$489$			1.13139i			0.0511633i
$490$	−2.76616	−	37.1881i	−0.124962	−	1.67999i
$491$		−	16.3127i		−	0.736180i	−0.929790	−	0.368090i	$-0.880012\pi$
$491$		−	16.3127i		−	0.736180i	0.929790	−	0.368090i	$-0.119988\pi$
$492$	−4.71674	+	11.0150i	−0.212647	+	0.496593i
$493$	−15.0537	+	31.2593i	−0.677984	+	1.40785i
$494$	−0.825823	−	0.375440i	−0.0371555	−	0.0168918i
$495$	15.1272	+	7.28485i	0.679915	+	0.327430i
$496$	0.197314	−	0.298050i	0.00885968	−	0.0133829i
$497$	8.25925	+	21.7661i	0.370478	+	0.976345i
$498$	−9.63562	−	18.9266i	−0.431783	−	0.848122i
$499$	−10.5297	+	8.39719i	−0.471376	+	0.375910i	−0.830173	−	0.557506i	$-0.811758\pi$
$499$	−10.5297	+	8.39719i	−0.471376	+	0.375910i	0.358797	+	0.933416i	$0.383187\pi$
$500$	−23.7853	+	20.7525i	−1.06371	+	0.928080i
$501$	−3.03384	+	3.80432i	−0.135542	+	0.169964i
$502$	−9.04425	+	7.54554i	−0.403665	+	0.336774i
$503$	−15.1241	+	18.9650i	−0.674350	+	0.845608i	−0.994820	−	0.101651i	$-0.967588\pi$
$503$	−15.1241	+	18.9650i	−0.674350	+	0.845608i	0.320470	+	0.947259i	$0.396159\pi$
$504$	−0.148258	+	7.48185i	−0.00660396	+	0.333268i
$505$	12.7571	+	15.9969i	0.567685	+	0.711854i
$506$	39.7245	+	8.14747i	1.76597	+	0.362199i
$507$	2.89146	−	12.6683i	0.128414	−	0.562619i
$508$	21.2956	−	5.86188i	0.944839	−	0.260079i
$509$		−	26.8049i		−	1.18811i	−0.804426	−	0.594053i	$-0.797527\pi$
$509$		−	26.8049i		−	1.18811i	0.804426	−	0.594053i	$-0.202473\pi$
$510$	23.2629	−	19.4080i	1.03010	−	0.859403i
$511$	3.99310	+	3.79014i	0.176644	+	0.167666i
$512$	13.6532	+	18.0441i	0.603392	+	0.797445i
$513$	1.85662	+	8.13439i	0.0819718	+	0.359142i
$514$	21.5634	−	0.476746i	0.951122	−	0.0210284i
$515$	−16.5549	+	13.2021i	−0.729496	+	0.581754i
$516$	4.08960	+	7.61195i	0.180035	+	0.335098i
$517$	1.84862	−	0.421935i	0.0813022	−	0.0185567i
$518$	27.7725	−	4.49261i	1.22025	−	0.197394i
$519$	−4.19969	−	0.958553i	−0.184346	−	0.0420758i
$520$	−0.305718	+	0.759936i	−0.0134066	+	0.0333254i
$521$		−	6.76266i		−	0.296277i	−0.988967	−	0.148139i	$-0.952672\pi$
$521$		−	6.76266i		−	0.296277i	0.988967	−	0.148139i	$-0.0473282\pi$
$522$	−6.62503	+	5.52721i	−0.289970	+	0.241919i
$523$	5.75424	−	2.77109i	0.251615	−	0.121172i	−0.303825	−	0.952728i	$-0.598264\pi$
$523$	5.75424	−	2.77109i	0.251615	−	0.121172i	0.555441	+	0.831556i	$0.312550\pi$
$524$	−8.79731	+	12.0914i	−0.384312	+	0.528217i
$525$	−22.7325	+	8.62594i	−0.992128	+	0.376467i
$526$	−2.06462	−	8.20525i	−0.0900218	−	0.357766i
$527$	−0.495450	−	0.113083i	−0.0215821	−	0.00492598i
$528$	17.6641	+	2.41684i	0.768730	+	0.105179i
$529$	16.5662	−	7.97784i	0.720268	−	0.346863i
$530$	30.1450	−	0.666475i	1.30941	−	0.0289498i
$531$	3.16168	+	1.52258i	0.137205	+	0.0660746i
$532$	−26.0564	−	35.6411i	−1.12969	−	1.54524i
$533$	−0.414991	+	0.199849i	−0.0179752	+	0.00865642i
$534$	−9.68506	+	4.93071i	−0.419114	+	0.213373i
$535$	−2.11551	−	9.26866i	−0.0914615	−	0.400719i
$536$	0.490044	+	0.537212i	0.0211667	+	0.0232040i
$537$	−14.4700	−	11.5395i	−0.624427	−	0.497964i
$538$	−13.6530	+	17.9190i	−0.588625	+	0.772544i
$539$	−28.7777	−	12.0538i	−1.23954	−	0.519194i
$540$	7.26372	−	1.99943i	0.312581	−	0.0860418i
$541$	−14.2115	+	17.8206i	−0.610998	+	0.766167i	−0.987047	−	0.160433i	$-0.948711\pi$
$541$	−14.2115	+	17.8206i	−0.610998	+	0.766167i	0.376049	+	0.926600i	$0.377282\pi$
$542$	−13.1032	−	25.7377i	−0.562830	−	1.10553i
$543$	−5.00179	+	1.14163i	−0.214648	+	0.0489919i
$544$	17.1611	−	27.2106i	0.735776	−	1.16664i
$545$	15.1761	+	31.5134i	0.650071	+	1.34989i
$546$	−0.193375	+	0.212966i	−0.00827569	+	0.00911411i
$547$	10.5783	−	21.9660i	0.452294	−	0.939197i	−0.542763	−	0.839886i	$-0.682622\pi$
$547$	10.5783	−	21.9660i	0.452294	−	0.939197i	0.995056	−	0.0993113i	$-0.0316640\pi$
$548$	7.37497	−	10.1365i	0.315043	−	0.433010i
$549$	4.11311	+	8.54096i	0.175543	+	0.364519i
$550$	14.1351	+	56.1761i	0.602725	+	2.39536i
$551$	11.3270	−	49.6268i	0.482546	−	2.11417i
$552$	15.8349	−	8.96401i	0.673976	−	0.381534i
$553$	7.86631	−	1.09466i	0.334510	−	0.0465497i
$554$	0.161684	+	7.31305i	0.00686930	+	0.310702i
$555$	−12.2892	−	25.5187i	−0.521646	−	1.08321i
$556$	9.63240	−	0.426134i	0.408505	−	0.0180721i
$557$	−30.0667			−1.27397			−0.636984	−	0.770877i	$-0.719818\pi$
$557$	−30.0667			−1.27397			−0.636984	+	0.770877i	$0.719818\pi$
$558$	−0.100522	−	0.0765909i	−0.00425544	−	0.00324235i
$559$	−0.0739129	+	0.323834i	−0.00312618	+	0.0136967i
$560$	−31.1111	+	24.9272i	−1.31468	+	1.05336i
$561$	−5.64037	−	24.7121i	−0.238137	−	1.04334i
$562$	−13.2510	+	29.1471i	−0.558961	+	1.22950i
$563$	2.89058	+	3.62467i	0.121823	+	0.152762i	0.839003	−	0.544127i	$-0.183139\pi$
$563$	2.89058	+	3.62467i	0.121823	+	0.152762i	−0.717180	+	0.696888i	$0.754567\pi$
$564$	0.500570	−	0.688007i	0.0210778	−	0.0289703i
$565$	75.4518	−	17.2214i	3.17428	−	0.724509i
$566$	0.819550	−	1.80269i	0.0344482	−	0.0757728i
$567$	2.63594	+	0.227595i	0.110699	+	0.00955810i
$568$	14.1938	−	20.4436i	0.595558	−	0.857796i
$569$	−1.98747			−0.0833190			−0.0416595	−	0.999132i	$-0.513264\pi$
$569$	−1.98747			−0.0833190			−0.0416595	+	0.999132i	$0.513264\pi$
$570$	−26.9382	+	35.3552i	−1.12832	+	1.48087i
$571$	−22.8708	−	5.22011i	−0.957113	−	0.218455i	−0.284688	−	0.958620i	$-0.591890\pi$
$571$	−22.8708	−	5.22011i	−0.957113	−	0.218455i	−0.672425	+	0.740166i	$0.734747\pi$
$572$	0.450565	+	0.516410i	0.0188391	+	0.0215922i
$573$	5.41505	−	4.31836i	0.226217	−	0.180402i
$574$	−22.3710	−	1.43424i	−0.933749	−	0.0598641i
$575$	46.2226	+	36.8613i	1.92761	+	1.53722i
$576$	6.68542	−	4.39376i	0.278559	−	0.183074i
$577$	−22.8027	−	18.1845i	−0.949289	−	0.757032i	0.0207999	−	0.999784i	$-0.493379\pi$
$577$	−22.8027	−	18.1845i	−0.949289	−	0.757032i	−0.970089	+	0.242751i	$0.921950\pi$
$578$	−21.2533	−	4.35905i	−0.884022	−	0.181312i
$579$	−11.4492	−	14.3568i	−0.475811	−	0.596648i
$580$	−45.2191	−	8.23730i	−1.87762	−	0.342035i
$581$	27.3536	−	28.8184i	1.13482	−	1.19559i
$582$	0.563630	−	2.74808i	0.0233632	−	0.113912i
$583$	10.9458	−	22.7293i	0.453330	−	0.941349i
$584$	0.926542	−	5.81219i	0.0383406	−	0.240510i
$585$	0.260925	+	0.125655i	0.0107879	+	0.00519518i
$586$	3.59378	+	14.2824i	0.148458	+	0.590002i
$587$	−15.7767			−0.651175			−0.325587	−	0.945512i	$-0.605562\pi$
$587$	−15.7767			−0.651175			−0.325587	+	0.945512i	$0.605562\pi$
$588$	−13.2860	+	4.41391i	−0.547905	+	0.182027i
$589$	0.745593			0.0307216
$590$	4.56174	+	18.1293i	0.187804	+	0.746372i
$591$	22.6858	+	10.9249i	0.933170	+	0.449391i
$592$	−20.7553	−	21.7666i	−0.853037	−	0.894601i
$593$	−4.52741	+	9.40127i	−0.185918	+	0.386064i	−0.973007	−	0.230777i	$-0.925873\pi$
$593$	−4.52741	+	9.40127i	−0.185918	+	0.386064i	0.787088	+	0.616840i	$0.211588\pi$
$594$	1.26646	−	6.17484i	0.0519634	−	0.253357i
$595$	48.7606	+	28.8934i	1.99899	+	1.18451i
$596$	−1.80174	+	9.89074i	−0.0738022	+	0.405140i
$597$	−11.5738	−	14.5131i	−0.473685	−	0.593982i
$598$	0.685198	+	0.140534i	0.0280198	+	0.00574685i
$599$	−30.1746	−	24.0635i	−1.23290	−	0.983207i	−0.999943	−	0.0107201i	$-0.996588\pi$
$599$	−30.1746	−	24.0635i	−1.23290	−	0.983207i	−0.232959	−	0.972486i	$-0.574841\pi$
$600$	21.3513	+	14.8240i	0.871663	+	0.605185i
$601$	−30.5095	−	24.3305i	−1.24451	−	0.992464i	−0.999738	−	0.0228831i	$-0.992715\pi$
$601$	−30.5095	−	24.3305i	−1.24451	−	0.992464i	−0.244772	−	0.969581i	$-0.578713\pi$
$602$	−10.8672	+	11.9682i	−0.442914	+	0.487786i
$603$	0.200997	−	0.160290i	0.00818522	−	0.00652750i
$604$	−17.5046	+	15.2727i	−0.712254	+	0.621437i
$605$	32.5614	+	7.43194i	1.32381	+	0.302151i
$606$	4.65546	−	6.11008i	0.189115	−	0.248205i
$607$	−1.30155			−0.0528281			−0.0264140	−	0.999651i	$-0.508409\pi$
$607$	−1.30155			−0.0528281			−0.0264140	+	0.999651i	$0.508409\pi$
$608$	−15.6631	+	44.5237i	−0.635224	+	1.80567i
$609$	−13.8865	−	8.22854i	−0.562709	−	0.333437i
$610$	−20.9005	+	45.9731i	−0.846238	+	1.86140i
$611$	0.0318864	−	0.00727786i	0.00128999	−	0.000294431i
$612$	−9.19718	−	6.69155i	−0.371774	−	0.270490i
$613$	−4.62973	−	5.80549i	−0.186993	−	0.234482i	0.679495	−	0.733681i	$-0.262199\pi$
$613$	−4.62973	−	5.80549i	−0.186993	−	0.234482i	−0.866487	+	0.499199i	$0.833628\pi$
$614$	11.8642	−	26.0966i	0.478798	−	1.05317i
$615$	5.02195	+	22.0026i	0.202505	+	0.887231i
$616$	6.77634	+	32.6587i	0.273027	+	1.31586i
$617$	7.52170	−	32.9547i	0.302812	−	1.32671i	−0.563049	−	0.826423i	$-0.690372\pi$
$617$	7.52170	−	32.9547i	0.302812	−	1.32671i	0.865862	−	0.500284i	$-0.166771\pi$
$618$	6.32320	+	4.81784i	0.254356	+	0.193802i
$619$	−38.0761			−1.53041			−0.765204	−	0.643788i	$-0.777362\pi$
$619$	−38.0761			−1.53041			−0.765204	+	0.643788i	$0.777362\pi$
$620$	−0.0297547	−	0.672580i	−0.00119498	−	0.0270114i
$621$	−2.79129	−	5.79618i	−0.112011	−	0.232593i
$622$	−0.989965	−	44.7766i	−0.0396940	−	1.79538i
$623$	−14.7468	−	13.9973i	−0.590819	−	0.560790i
$624$	0.304683	+	0.0416874i	0.0121971	+	0.00166883i
$625$	−3.00496	+	13.1656i	−0.120198	+	0.526623i
$626$	−5.83640	−	23.1951i	−0.233270	−	0.927063i
$627$	16.1356	+	33.5058i	0.644392	+	1.33809i
$628$	26.6716	+	19.4054i	1.06431	+	0.774358i
$629$	−18.5529	+	38.5255i	−0.739752	+	1.53611i
$630$	8.06480	+	11.5593i	0.321309	+	0.460533i
$631$	−18.0268	−	37.4330i	−0.717635	−	1.49018i	−0.865357	−	0.501155i	$-0.832909\pi$
$631$	−18.0268	−	37.4330i	−0.717635	−	1.49018i	0.147723	−	0.989029i	$-0.452806\pi$
$632$	−5.72198	−	6.27273i	−0.227608	−	0.249516i
$633$	−3.45637	+	0.788894i	−0.137378	+	0.0313557i
$634$	15.6084	+	30.6586i	0.619889	+	1.21761i
$635$	25.9381	−	32.5253i	1.02932	−	1.29073i
$636$	−3.00424	−	10.9141i	−0.119126	−	0.432772i
$637$	−0.496379	−	0.207913i	−0.0196672	−	0.00823782i
$638$	−23.3065	+	30.5888i	−0.922714	+	1.21102i
$639$	−6.87948	−	5.48621i	−0.272148	−	0.217031i
$640$	40.7887	+	12.3525i	1.61231	+	0.488275i
$641$	6.39434	+	28.0154i	0.252561	+	1.10654i	0.929010	+	0.370054i	$0.120661\pi$
$641$	6.39434	+	28.0154i	0.252561	+	1.10654i	−0.676449	+	0.736489i	$0.736482\pi$
$642$	−3.18072	+	1.61932i	−0.125533	+	0.0639094i
$643$	43.2035	−	20.8057i	1.70378	−	0.820497i	0.710641	−	0.703555i	$-0.248405\pi$
$643$	43.2035	−	20.8057i	1.70378	−	0.820497i	0.993139	−	0.116943i	$-0.0373094\pi$
$644$	25.7020	+	22.3213i	1.01280	+	0.879584i
$645$	14.6633	+	7.06148i	0.577367	+	0.278046i
$646$	67.0871	−	1.48323i	2.63951	−	0.0583569i
$647$	0.126999	−	0.0611596i	0.00499285	−	0.00240443i	−0.431386	−	0.902168i	$-0.641975\pi$
$647$	0.126999	−	0.0611596i	0.00499285	−	0.00240443i	0.436378	+	0.899763i	$0.356261\pi$
$648$	−1.39338	−	2.46140i	−0.0547372	−	0.0966929i
$649$	15.2489	+	3.48047i	0.598572	+	0.136620i
$650$	0.243814	+	0.968967i	0.00956316	+	0.0380060i
$651$	0.0722434	−	0.225120i	0.00283144	−	0.00882314i
$652$	1.82974	+	1.33126i	0.0716582	+	0.0521360i
$653$	34.6293	−	16.6766i	1.35515	−	0.652605i	0.391599	−	0.920136i	$-0.371922\pi$
$653$	34.6293	−	16.6766i	1.35515	−	0.652605i	0.963549	+	0.267531i	$0.0862077\pi$
$654$	10.0831	−	8.41223i	0.394280	−	0.328944i
$655$			28.1637i			1.10045i
$656$	12.2640	+	20.5889i	0.478827	+	0.803862i
$657$	−2.02870	−	0.463037i	−0.0791470	−	0.0180648i
$658$	1.52602	+	0.452765i	0.0594905	+	0.0176506i
$659$	36.4302	−	8.31495i	1.41912	−	0.323905i	0.556959	−	0.830540i	$-0.311968\pi$
$659$	36.4302	−	8.31495i	1.41912	−	0.323905i	0.862160	+	0.506636i	$0.169111\pi$
$660$	29.5808	−	15.8926i	1.15143	−	0.618619i
$661$	31.5131	−	25.1308i	1.22572	−	0.977476i	0.225722	−	0.974192i	$-0.427526\pi$
$661$	31.5131	−	25.1308i	1.22572	−	0.977476i	0.999995	−	0.00328459i	$-0.00104552\pi$
$662$	−23.6460	+	0.522790i	−0.919028	+	0.0203188i
$663$	−0.0972893	−	0.426252i	−0.00377840	−	0.0165543i
$664$	−41.9468	−	6.68689i	−1.62785	−	0.259502i
$665$	−79.1782	−	25.4091i	−3.07040	−	0.985324i
$666$	−8.16501	+	6.81200i	−0.316388	+	0.263960i
$667$			39.2485i			1.51971i
$668$	2.58274	+	9.38284i	0.0999293	+	0.363033i
$669$	0.322048	−	1.41098i	0.0124511	−	0.0545517i
$670$	1.34163	+	0.275167i	0.0518317	+	0.0106306i
$671$	26.3442	+	33.0346i	1.01701	+	1.27528i
$672$	11.9255	+	9.04331i	0.460038	+	0.348853i
$673$	15.8649	−	19.8939i	0.611547	−	0.766855i	−0.375581	−	0.926790i	$-0.622557\pi$
$673$	15.8649	−	19.8939i	0.611547	−	0.766855i	0.987128	+	0.159934i	$0.0511283\pi$
$674$	−20.4256	+	17.0409i	−0.786766	+	0.656393i
$675$	5.72978	−	7.18492i	0.220539	−	0.276548i
$676$	−17.0855	−	19.5824i	−0.657136	−	0.753169i
$677$	−7.62244	+	6.07869i	−0.292954	+	0.233623i	−0.758927	−	0.651176i	$-0.774276\pi$
$677$	−7.62244	+	6.07869i	−0.292954	+	0.233623i	0.465973	+	0.884799i	$0.345705\pi$
$678$	−13.1821	−	25.8927i	−0.506255	−	0.994404i
$679$	5.19812	−	0.723361i	0.199486	−	0.0277600i
$680$	−4.01526	−	60.4584i	−0.153978	−	2.31847i
$681$	10.0454	+	4.83762i	0.384941	+	0.185378i
$682$	−0.512774	−	0.233120i	−0.0196351	−	0.00892662i
$683$	5.23185	−	10.8640i	0.200191	−	0.415701i	−0.776570	−	0.630031i	$-0.783042\pi$
$683$	5.23185	−	10.8640i	0.200191	−	0.415701i	0.976761	+	0.214329i	$0.0687566\pi$
$684$	15.3399	+	6.56874i	0.586536	+	0.251162i
$685$		−	23.6103i		−	0.902102i
$686$	−16.0857	−	20.6700i	−0.614155	−	0.789185i
$687$			26.8152i			1.02306i
$688$	17.1224	+	2.34273i	0.652787	+	0.0893158i
$689$	0.188802	−	0.392051i	0.00719278	−	0.0149360i
$690$	14.1838	−	31.1989i	0.539968	−	1.18772i
$691$	−7.02323	−	3.38221i	−0.267176	−	0.128665i	0.295500	−	0.955343i	$-0.404514\pi$
$691$	−7.02323	−	3.38221i	−0.267176	−	0.128665i	−0.562676	+	0.826678i	$0.690228\pi$
$692$	−6.49180	+	5.66406i	−0.246781	+	0.215315i
$693$	11.6800	−	1.62537i	0.443686	−	0.0617425i
$694$	−12.9748	+	6.60553i	−0.492517	+	0.250742i
$695$	14.1981	−	11.3226i	0.538566	−	0.429492i
$696$	1.14350	+	17.2179i	0.0433444	+	0.652643i
$697$	21.2432	−	26.6381i	0.804644	−	1.00899i
$698$	−18.3625	−	22.0097i	−0.695030	−	0.833078i
$699$	−9.87019	+	12.3768i	−0.373325	+	0.468134i
$700$	−12.7980	+	46.9138i	−0.483719	+	1.77318i
$701$	−3.11122	−	3.90135i	−0.117509	−	0.147352i	0.719598	−	0.694391i	$-0.244326\pi$
$701$	−3.11122	−	3.90135i	−0.117509	−	0.147352i	−0.837107	+	0.547039i	$0.815755\pi$
$702$	0.0218448	−	0.106508i	0.000824479	−	0.00401990i
$703$	13.9599	−	61.1625i	0.526509	−	2.30679i
$704$	24.6931	−	25.7234i	0.930657	−	0.969487i
$705$		−	1.60253i		−	0.0603547i
$706$	25.7826	+	30.9036i	0.970343	+	1.16307i
$707$	13.6836	+	4.39120i	0.514623	+	0.165148i
$708$	6.18260	−	3.32166i	0.232356	−	0.124836i
$709$	−4.64857	−	20.3667i	−0.174581	−	0.764888i	−0.984074	−	0.177759i	$-0.943115\pi$
$709$	−4.64857	−	20.3667i	−0.174581	−	0.764888i	0.809493	−	0.587129i	$-0.199742\pi$
$710$	−1.03612	−	46.8641i	−0.0388848	−	1.75878i
$711$	−2.34693	+	1.87161i	−0.0880168	+	0.0701910i
$712$	−3.42179	+	21.4649i	−0.128237	+	0.804430i
$713$	−0.560472	+	0.127924i	−0.0209898	+	0.00479080i
$714$	6.05250	−	20.3996i	0.226509	−	0.763436i
$715$	1.25845	+	0.287233i	0.0470634	+	0.0107419i
$716$	−35.6883	+	9.82366i	−1.33374	+	0.367127i
$717$			7.34047i			0.274135i
$718$	−0.258179	−	0.309458i	−0.00963514	−	0.0115489i
$719$	−3.30991	+	1.59397i	−0.123439	+	0.0594451i	−0.494584	−	0.869130i	$-0.664680\pi$
$719$	−3.30991	+	1.59397i	−0.123439	+	0.0594451i	0.371145	+	0.928575i	$0.378965\pi$
$720$	5.31331	−	14.0999i	0.198015	−	0.525471i
$721$	−4.54436	+	14.1608i	−0.169241	+	0.527377i
$722$	−69.4170	+	17.4669i	−2.58343	+	0.650050i
$723$	8.17989	+	1.86701i	0.304213	+	0.0694347i
$724$	−4.03908	+	9.43244i	−0.150111	+	0.350554i
$725$	−50.5138	+	24.3261i	−1.87603	+	0.903450i
$726$	−0.277153	−	12.5358i	−0.0102861	−	0.465246i
$727$	21.9013	+	10.5471i	0.812275	+	0.391171i	0.793438	−	0.608652i	$-0.208289\pi$
$727$	21.9013	+	10.5471i	0.812275	+	0.391171i	0.0188372	+	0.999823i	$0.494004\pi$
$728$	0.116883	+	0.563323i	0.00433199	+	0.0208781i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−5.02933	−	9.87878i	−0.186144	−	0.365630i
$731$	−5.46742	−	23.9543i	−0.202220	−	0.885983i
$732$	18.6525	+	3.39783i	0.689418	+	0.125587i
$733$	−0.308010	−	0.245630i	−0.0113766	−	0.00907256i	0.617785	−	0.786347i	$-0.288030\pi$
$733$	−0.308010	−	0.245630i	−0.0113766	−	0.00907256i	−0.629162	+	0.777275i	$0.716602\pi$
$734$	−38.7628	−	29.5346i	−1.43076	−	1.09014i
$735$	−15.3438	+	21.4446i	−0.565964	+	0.790997i
$736$	4.13511	−	36.1564i	0.152422	−	1.33274i
$737$	0.714437	−	0.895876i	0.0263166	−	0.0330000i
$738$	7.55062	−	3.84405i	0.277942	−	0.141501i
$739$	−2.70373	+	0.617109i	−0.0994584	+	0.0227007i	−0.271960	−	0.962308i	$-0.587672\pi$
$739$	−2.70373	+	0.617109i	−0.0994584	+	0.0227007i	0.172502	+	0.985009i	$0.444815\pi$
$740$	−55.7302	−	10.1521i	−2.04868	−	0.373197i
$741$	0.278318	+	0.577934i	0.0102243	+	0.0212309i
$742$	17.3684	−	12.1177i	0.637612	−	0.444856i
$743$	−5.39373	+	11.2002i	−0.197877	+	0.410896i	−0.976171	−	0.217005i	$-0.930371\pi$
$743$	−5.39373	+	11.2002i	−0.197877	+	0.410896i	0.778294	+	0.627900i	$0.216086\pi$
$744$	−0.242146	+	0.0724483i	−0.00887751	+	0.00265608i
$745$	8.21580	+	17.0603i	0.301004	+	0.625041i
$746$	8.86801	−	2.23139i	0.324681	−	0.0816969i
$747$	−3.34175	+	14.6412i	−0.122268	+	0.535692i
$748$	−46.6023	−	19.9557i	−1.70395	−	0.729651i
$749$	−4.84308	−	4.59692i	−0.176962	−	0.167968i
$750$	22.3150	−	0.493362i	0.814828	−	0.0180150i
$751$	−10.7992	−	22.4248i	−0.394069	−	0.818292i	−0.999745	−	0.0225810i	$-0.992812\pi$
$751$	−10.7992	−	22.4248i	−0.394069	−	0.818292i	0.605676	−	0.795711i	$-0.292903\pi$
$752$	−0.523680	−	1.61909i	−0.0190967	−	0.0590422i
$753$	8.32868			0.303514
$754$	−0.402009	+	0.527618i	−0.0146403	+	0.0192147i
$755$	−9.73628	+	42.6574i	−0.354340	+	1.55246i
$756$	3.46967	−	3.99517i	0.126191	−	0.145303i
$757$	8.21554	+	35.9946i	0.298599	+	1.30825i	0.872215	+	0.489123i	$0.162683\pi$
$757$	8.21554	+	35.9946i	0.298599	+	1.30825i	−0.573616	+	0.819124i	$0.694460\pi$
$758$	17.1738	+	7.80765i	0.623781	+	0.283586i
$759$	−17.8780	−	22.4184i	−0.648932	−	0.813735i
$760$	25.4812	+	85.1666i	0.924300	+	3.08932i
$761$	5.48637	−	1.25223i	0.198881	−	0.0453932i	−0.121920	−	0.992540i	$-0.538905\pi$
$761$	5.48637	−	1.25223i	0.198881	−	0.0453932i	0.320801	+	0.947147i	$0.396048\pi$
$762$	−14.2180	−	6.46384i	−0.515063	−	0.234160i
$763$	21.1348	+	12.5236i	0.765131	+	0.453383i
$764$	−0.612218	−	13.8387i	−0.0221493	−	0.500666i
$765$	−21.4223			−0.774527
$766$	11.3236	+	8.62782i	0.409139	+	0.311736i
$767$	0.263025	+	0.0600337i	0.00949728	+	0.00216769i
$768$	0.760614	−	15.9819i	0.0274463	−	0.576698i
$769$	−16.6358	+	13.2666i	−0.599903	+	0.478406i	−0.875730	−	0.482801i	$-0.839620\pi$
$769$	−16.6358	+	13.2666i	−0.599903	+	0.478406i	0.275828	+	0.961207i	$0.411048\pi$
$770$	46.5095	+	42.2311i	1.67609	+	1.52190i
$771$	−11.9240	−	9.50908i	−0.429433	−	0.342461i
$772$	−36.6902	+	1.62316i	−1.32051	+	0.0584188i
$773$	−25.5154	−	20.3479i	−0.917726	−	0.731862i	0.0459476	−	0.998944i	$-0.485369\pi$
$773$	−25.5154	−	20.3479i	−0.917726	−	0.731862i	−0.963674	+	0.267081i	$0.913941\pi$
$774$	1.22762	−	5.98551i	0.0441260	−	0.215145i
$775$	−0.512020	−	0.642053i	−0.0183923	−	0.0230632i
$776$	−3.78113	−	4.14507i	−0.135735	−	0.148799i
$777$	−17.1144	−	10.1412i	−0.613976	−	0.363815i
$778$	31.2998	+	6.41957i	1.12215	+	0.230153i
$779$	−21.6889	+	45.0375i	−0.777087	+	1.61364i
$780$	0.510232	−	0.274128i	0.0182692	−	0.00981534i
$781$	−35.3355	−	17.0167i	−1.26440	−	0.608904i
$782$	−50.1758	+	12.6254i	−1.79428	+	0.451482i
$783$	6.10086			0.218027
$784$	−8.49461	+	26.6804i	−0.303379	+	0.952870i
$785$	62.1244			2.21732
$786$	10.2538	−	2.58009i	0.365742	−	0.0920287i
$787$	−9.39920	−	4.52642i	−0.335045	−	0.161349i	0.258795	−	0.965932i	$-0.416675\pi$
$787$	−9.39920	−	4.52642i	−0.335045	−	0.161349i	−0.593840	+	0.804583i	$0.702389\pi$
$788$	44.3616	−	23.8337i	1.58032	−	0.849042i
$789$	−2.59586	+	5.39035i	−0.0924150	+	0.191902i
$790$	−15.6655	−	3.21298i	−0.557353	−	0.114313i
$791$	37.4213	−	39.4252i	1.33055	−	1.40180i
$792$	−8.49607	−	9.31382i	−0.301895	−	0.330952i
$793$	0.454404	+	0.569805i	0.0161364	+	0.0202344i
$794$	6.06783	−	29.5848i	0.215339	−	1.04993i
$795$	−16.6694	−	13.2934i	−0.591201	−	0.471467i
$796$	−37.0896	+	1.64083i	−1.31461	+	0.0581577i
$797$	−24.7003	−	19.6978i	−0.874929	−	0.697732i	0.0792868	−	0.996852i	$-0.474736\pi$
$797$	−24.7003	−	19.6978i	−0.874929	−	0.697732i	−0.954216	+	0.299119i	$0.903307\pi$
$798$	−1.99739	+	31.1548i	−0.0707067	+	1.10287i
$799$	−1.89151	+	1.50843i	−0.0669167	+	0.0533643i
$800$	49.0971	−	17.0877i	1.73584	−	0.604140i
$801$	7.49213	+	1.71003i	0.264721	+	0.0604209i
$802$	−16.3869	−	12.4857i	−0.578641	−	0.440884i
$803$	−9.27476			−0.327299
$804$	−0.0227244	−	0.513667i	−0.000801429	−	0.0181156i
$805$	63.8789	+	5.51549i	2.25144	+	0.194396i
$806$	−0.00884471	−	0.00402103i	−0.000311542	−	0.000141635i
$807$	15.5301	−	3.54464i	0.546685	−	0.124777i
$808$	−4.40365	−	14.7185i	−0.154920	−	0.517794i
$809$	−6.39616	−	8.02052i	−0.224877	−	0.281987i	0.656575	−	0.754261i	$-0.272005\pi$
$809$	−6.39616	−	8.02052i	−0.224877	−	0.281987i	−0.881452	+	0.472274i	$0.843433\pi$
$810$	−4.84961	−	2.20476i	−0.170398	−	0.0774673i
$811$	−4.81531	−	21.0972i	−0.169088	−	0.740824i	−0.986364	−	0.164578i	$-0.947374\pi$
$811$	−4.81531	−	21.0972i	−0.169088	−	0.740824i	0.817276	−	0.576247i	$-0.195483\pi$
$812$	−29.6472	+	12.7758i	−1.04041	+	0.448342i
$813$	−4.54435	+	19.9101i	−0.159377	+	0.698277i
$814$	−28.7241	+	37.6991i	−1.00678	+	1.32135i
$815$	4.26189			0.149287
$816$	−21.6438	+	7.00048i	−0.757683	+	0.245066i
$817$	15.6408	+	32.4785i	0.547203	+	1.13628i
$818$	36.7237	−	0.811924i	1.28401	−	0.0283883i
$819$	0.201465	−	0.0280355i	0.00703977	−	0.000979641i
$820$	41.4927	+	17.7677i	1.44899	+	0.620475i
$821$	6.78055	−	29.7075i	0.236643	−	1.03680i	−0.707358	−	0.706856i	$-0.750113\pi$
$821$	6.78055	−	29.7075i	0.236643	−	1.03680i	0.944001	−	0.329944i	$-0.107030\pi$
$822$	−8.59600	+	2.16294i	−0.299820	+	0.0754413i
$823$	−10.9106	−	22.6561i	−0.380319	−	0.789741i	−0.999988	−	0.00487749i	$-0.998447\pi$
$823$	−10.9106	−	22.6561i	−0.380319	−	0.789741i	0.619669	−	0.784863i	$-0.287267\pi$
$824$	15.2319	−	4.55725i	0.530627	−	0.158759i
$825$	17.7722	−	36.9043i	0.618748	−	1.28484i
$826$	9.72081	+	8.82658i	0.338230	+	0.307116i
$827$	12.0630	+	25.0491i	0.419472	+	0.871043i	0.998448	+	0.0556982i	$0.0177385\pi$
$827$	12.0630	+	25.0491i	0.419472	+	0.871043i	−0.578975	+	0.815345i	$0.696547\pi$
$828$	−12.6582	−	2.30588i	−0.439904	−	0.0801349i
$829$	8.28204	−	1.89032i	0.287647	−	0.0656535i	−0.0762628	−	0.997088i	$-0.524299\pi$
$829$	8.28204	−	1.89032i	0.287647	−	0.0656535i	0.363910	+	0.931434i	$0.381442\pi$
$830$	−71.2955	+	36.2968i	−2.47470	+	1.25988i
$831$	3.22492	−	4.04392i	0.111871	−	0.140282i
$832$	0.425925	−	0.443697i	0.0147663	−	0.0153824i
$833$	39.7544	−	2.07471i	1.37741	−	0.0718844i
$834$	−5.42303	−	4.13197i	−0.187784	−	0.143078i
$835$	14.3306	+	11.4283i	0.495933	+	0.395493i
$836$	73.1732	+	13.3296i	2.53075	+	0.461012i
$837$	0.0198848	+	0.0871208i	0.000687318	+	0.00301133i
$838$	5.59004	+	10.9802i	0.193105	+	0.379303i
$839$	−29.9936	+	14.4441i	−1.03549	+	0.498667i	−0.872835	−	0.488015i	$-0.837721\pi$
$839$	−29.9936	+	14.4441i	−1.03549	+	0.498667i	−0.162658	+	0.986682i	$0.552007\pi$
$840$	28.1837	+	0.558481i	0.972429	+	0.0192694i
$841$	−7.40644	−	3.56675i	−0.255395	−	0.122992i
$842$	−0.0979628	−	4.43090i	−0.00337602	−	0.152699i
$843$	20.3980	−	9.82316i	0.702544	−	0.338327i
$844$	−2.79111	+	6.51806i	−0.0960740	+	0.224361i
$845$	−47.7208	−	10.8920i	−1.64164	−	0.374695i
$846$	−0.583446	+	0.146808i	−0.0200593	+	0.00504737i
$847$	21.9321	−	8.32223i	0.753597	−	0.285955i
$848$	−21.1857	−	7.98349i	−0.727521	−	0.274154i
$849$	−1.26158	+	0.607543i	−0.0432972	+	0.0208508i
$850$	−47.3480	−	56.7523i	−1.62402	−	1.94659i
$851$			48.3718i			1.65816i
$852$	−16.9673	+	4.67047i	−0.581291	+	0.160008i
$853$	−0.276154	−	0.0630304i	−0.00945533	−	0.00215812i	0.217791	−	0.975996i	$-0.430115\pi$
$853$	−0.276154	−	0.0630304i	−0.00945533	−	0.00215812i	−0.227246	+	0.973837i	$0.572972\pi$
$854$	5.66416	+	35.0148i	0.193824	+	1.19818i
$855$	30.6418	−	6.99378i	1.04793	−	0.239182i
$856$	−1.12377	+	7.04938i	−0.0384095	+	0.240943i
$857$	26.7864	−	21.3614i	0.915006	−	0.729693i	−0.0480920	−	0.998843i	$-0.515314\pi$
$857$	26.7864	−	21.3614i	0.915006	−	0.729693i	0.963098	+	0.269150i	$0.0867426\pi$
$858$	−0.0107116	−	0.484489i	−0.000365686	−	0.0165402i
$859$	−0.717181	−	3.14217i	−0.0244699	−	0.107210i	0.961218	−	0.275789i	$-0.0889391\pi$
$859$	−0.717181	−	3.14217i	−0.0244699	−	0.107210i	−0.985688	+	0.168580i	$0.946082\pi$
$860$	28.6738	−	15.4053i	0.977768	−	0.525316i
$861$	11.4968	+	10.9125i	0.391811	+	0.371897i
$862$	−24.8736	−	29.8140i	−0.847197	−	1.01547i
$863$			27.8256i			0.947195i	0.880741	+	0.473597i	$0.157045\pi$
$863$			27.8256i			0.947195i	−0.880741	+	0.473597i	$0.842955\pi$
$864$	−5.62022	−	0.642769i	−0.191204	−	0.0218674i
$865$	−3.61081	+	15.8200i	−0.122771	+	0.537896i
$866$	0.256828	−	1.25221i	0.00872739	−	0.0425520i
$867$	9.56508	+	11.9942i	0.324847	+	0.407346i
$868$	−0.279069	−	0.381723i	−0.00947222	−	0.0129565i
$869$	−8.34209	+	10.4607i	−0.282986	+	0.354853i
$870$	20.8207	+	24.9561i	0.705887	+	0.846091i
$871$	0.0123231	−	0.0154527i	0.000417554	−	0.000523596i
$872$	−1.74037	−	26.2051i	−0.0589365	−	0.887417i
$873$	−1.55087	+	1.23678i	−0.0524890	+	0.0418586i
$874$	67.6479	−	34.4398i	2.28823	−	1.16494i
$875$	14.8145	+	39.0415i	0.500820	+	1.31984i
$876$	−3.13592	+	2.73607i	−0.105953	+	0.0924432i
$877$	−32.7822	−	15.7871i	−1.10698	−	0.533092i	−0.211131	−	0.977458i	$-0.567715\pi$
$877$	−32.7822	−	15.7871i	−1.10698	−	0.533092i	−0.895845	+	0.444366i	$0.853429\pi$
$878$	5.21099	−	11.4622i	0.175863	−	0.386830i
$879$	4.51847	−	9.38270i	0.152404	−	0.316470i
$880$	9.10409	−	66.5396i	0.306899	−	2.24305i
$881$		−	35.2771i		−	1.18851i	−0.804275	−	0.594257i	$-0.797446\pi$
$881$		−	35.2771i		−	1.18851i	0.804275	−	0.594257i	$-0.202554\pi$
$882$	9.21318	+	3.62179i	0.310224	+	0.121952i
$883$		−	23.6936i		−	0.797354i	−0.917092	−	0.398677i	$-0.869470\pi$
$883$		−	23.6936i		−	0.797354i	0.917092	−	0.398677i	$-0.130530\pi$
$884$	−0.803831	−	0.344210i	−0.0270358	−	0.0115770i
$885$	5.73549	−	11.9099i	0.192796	−	0.400346i
$886$	−23.9420	−	10.8846i	−0.804348	−	0.365677i
$887$	−23.6571	−	11.3926i	−0.794327	−	0.382528i	−0.00771101	−	0.999970i	$-0.502455\pi$
$887$	−23.6571	−	11.3926i	−0.794327	−	0.382528i	−0.786616	+	0.617443i	$0.788169\pi$
$888$	1.40931	+	21.2202i	0.0472933	+	0.712103i
$889$	2.51352	−	29.1109i	0.0843007	−	0.976348i
$890$	18.5737	+	36.4831i	0.622591	+	1.22292i
$891$	−3.48475	+	2.77900i	−0.116744	+	0.0930998i
$892$	−1.90297	−	2.18107i	−0.0637161	−	0.0730275i
$893$	2.21309	−	2.77512i	0.0740581	−	0.0928659i
$894$	5.45864	−	4.55410i	0.182564	−	0.152312i
$895$	−43.4685	+	54.5077i	−1.45299	+	1.82199i
$896$	28.6575	−	8.64572i	0.957379	−	0.288833i
$897$	−0.308374	−	0.386689i	−0.0102963	−	0.0129112i
$898$	26.3418	+	5.40268i	0.879036	+	0.180290i
$899$	0.121314	−	0.531512i	0.00404605	−	0.0177269i
$900$	−4.87782	−	17.7206i	−0.162594	−	0.590687i
$901$			32.1881i			1.07234i
$902$	28.9980	−	24.1928i	0.965527	−	0.805531i
$903$	11.3219	−	1.57553i	0.376768	−	0.0524303i
$904$	−57.3857	−	9.14805i	−1.90862	−	0.304260i
$905$	4.30044	+	18.8415i	0.142952	+	0.626312i
$906$	16.4226	−	0.363087i	0.545605	−	0.0120628i
$907$	44.7718	−	35.7043i	1.48662	−	1.18554i	0.550022	−	0.835150i	$-0.314620\pi$
$907$	44.7718	−	35.7043i	1.48662	−	1.18554i	0.936603	−	0.350393i	$-0.113952\pi$
$908$	19.6436	−	10.5537i	0.651895	−	0.350237i
$909$	−5.29550	+	1.20866i	−0.175641	+	0.0400888i
$910$	0.802231	+	0.728433i	0.0265937	+	0.0241473i
$911$	2.82047	+	0.643754i	0.0934463	+	0.0213285i	0.268988	−	0.963143i	$-0.413311\pi$
$911$	2.82047	+	0.643754i	0.0934463	+	0.0213285i	−0.175542	+	0.984472i	$0.556168\pi$
$912$	28.6730	−	17.0793i	0.949459	−	0.565552i
$913$			66.9363i			2.21527i
$914$	7.54511	−	6.29482i	0.249570	−	0.208214i
$915$	32.1733	−	15.4938i	1.06362	−	0.512211i
$916$	43.3668	+	31.5522i	1.43288	+	1.04251i
$917$	10.9572	+	16.4691i	0.361839	+	0.543858i
$918$	1.96251	+	7.79942i	0.0647724	+	0.257419i
$919$	1.80022	+	0.410888i	0.0593837	+	0.0135539i	0.252110	−	0.967699i	$-0.418876\pi$
$919$	1.80022	+	0.410888i	0.0593837	+	0.0135539i	−0.192726	+	0.981253i	$0.561733\pi$
$920$	−33.7669	−	59.6490i	−1.11326	−	1.96657i
$921$	−18.2631	+	8.79505i	−0.601790	+	0.289807i
$922$	−4.63793	+	0.102540i	−0.152742	+	0.00337697i
$923$	−0.609493	−	0.293516i	−0.0200617	−	0.00966121i
$924$	11.1147	−	20.8019i	0.365646	−	0.684333i
$925$	−62.2556	+	29.9807i	−2.04695	+	0.985760i
$926$	30.8215	−	15.6913i	1.01286	−	0.515649i
$927$	−1.25082	−	5.48021i	−0.0410824	−	0.179994i
$928$	29.1911	+	18.4102i	0.958246	+	0.604344i
$929$	32.0036	+	25.5220i	1.05000	+	0.837350i	0.987009	−	0.160664i	$-0.0513635\pi$
$929$	32.0036	+	25.5220i	1.05000	+	0.837350i	0.0629945	+	0.998014i	$0.479935\pi$
$930$	−0.288514	+	0.378661i	−0.00946073	+	0.0124168i
$931$	−56.1860	+	15.9463i	−1.84142	+	0.522618i
$932$	8.40260	+	30.5258i	0.275236	+	0.999904i
$933$	−19.7456	+	24.7603i	−0.646444	+	0.810615i
$934$	−15.0248	−	29.5122i	−0.491627	−	0.965670i
$935$	−93.0889	+	21.2469i	−3.04433	+	0.694849i
$936$	−0.146547	−	0.160652i	−0.00479002	−	0.00525107i
$937$	3.90633	+	8.11158i	0.127614	+	0.264994i	0.954980	−	0.296669i	$-0.0958760\pi$
$937$	3.90633	+	8.11158i	0.127614	+	0.264994i	−0.827366	+	0.561663i	$0.810162\pi$
$938$	0.891590	−	0.361058i	0.0291114	−	0.0117890i
$939$	−7.33813	+	15.2378i	−0.239471	+	0.497266i
$940$	−2.59168	−	1.88562i	−0.0845314	−	0.0615021i
$941$	21.1655	+	43.9506i	0.689975	+	1.43275i	0.891387	+	0.453242i	$0.149733\pi$
$941$	21.1655	+	43.9506i	0.689975	+	1.43275i	−0.201412	+	0.979507i	$0.564553\pi$
$942$	−5.69124	−	22.6182i	−0.185430	−	0.736940i
$943$	8.57661	−	37.5766i	0.279293	−	1.22366i
$944$	1.90282	−	13.9072i	0.0619315	−	0.452642i
$945$	0.857338	−	9.92945i	0.0278892	−	0.323005i
$946$	−0.601963	−	27.2271i	−0.0195715	−	0.885228i
$947$	18.0855	+	37.5548i	0.587698	+	1.22037i	0.956737	+	0.290954i	$0.0939727\pi$
$947$	18.0855	+	37.5548i	0.587698	+	1.22037i	−0.369039	+	0.929414i	$0.620313\pi$
$948$	0.265341	+	5.99781i	0.00861787	+	0.194800i
$949$	−0.159978			−0.00519311
$950$	86.2529	+	65.7187i	2.79841	+	2.13220i
$951$	5.41319	−	23.7167i	0.175535	−	0.769067i
$952$	−25.8695	−	33.7916i	−0.838436	−	1.09519i
$953$	7.15707	+	31.3572i	0.231840	+	1.01576i	0.948112	+	0.317937i	$0.102990\pi$
$953$	7.15707	+	31.3572i	0.231840	+	1.01576i	−0.716272	+	0.697822i	$0.754153\pi$
$954$	−3.31275	+	7.28677i	−0.107254	+	0.235918i
$955$	−16.2670	−	20.3982i	−0.526388	−	0.660070i
$956$	11.8714	+	8.63718i	0.383947	+	0.279346i
$957$	26.5108	−	6.05091i	0.856971	−	0.195598i
$958$	−20.5192	+	45.1344i	−0.662947	+	1.45823i
$959$	−9.18566	−	13.8064i	−0.296621	−	0.445832i
$960$	−16.5511	−	25.1836i	−0.534183	−	0.812797i
$961$	−30.9920			−0.999742
$962$	−0.495455	+	0.650263i	−0.0159741	+	0.0209653i
$963$	2.46053	+	0.561599i	0.0792893	+	0.0180973i
$964$	12.6443	−	11.0321i	0.407246	−	0.355320i
$965$	−54.0812	+	43.1283i	−1.74094	+	1.38835i
$966$	−3.84389	−	23.7622i	−0.123675	−	0.764537i
$967$	−44.0580	−	35.1350i	−1.41681	−	1.12987i	−0.972203	−	0.234140i	$-0.924772\pi$
$967$	−44.0580	−	35.1350i	−1.41681	−	1.12987i	−0.444606	−	0.895726i	$-0.646656\pi$
$968$	−20.5996	−	14.3020i	−0.662095	−	0.459685i
$969$	−37.0974	−	29.5842i	−1.19174	−	0.950381i
$970$	−10.3519	−	2.12316i	−0.332378	−	0.0681707i
$971$	−8.85703	−	11.1064i	−0.284236	−	0.356420i	0.619132	−	0.785287i	$-0.287484\pi$
$971$	−8.85703	−	11.1064i	−0.284236	−	0.356420i	−0.903368	+	0.428867i	$0.858913\pi$
$972$	−0.358430	+	1.96762i	−0.0114967	+	0.0631114i
$973$	3.89743	−	12.1449i	0.124946	−	0.389347i
$974$	1.85959	−	9.06678i	0.0595852	−	0.290518i
$975$	0.306548	−	0.636553i	0.00981739	−	0.0203860i
$976$	27.4427	−	26.1677i	0.878419	−	0.837608i
$977$	−52.0524	−	25.0671i	−1.66530	−	0.801968i	−0.998383	−	0.0568402i	$-0.981897\pi$
$977$	−52.0524	−	25.0671i	−1.66530	−	0.801968i	−0.666921	−	0.745128i	$-0.732388\pi$
$978$	−0.390433	−	1.55166i	−0.0124847	−	0.0496167i
$979$	34.2524			1.09471
$980$	16.6270	+	50.0475i	0.531128	+	1.59871i
$981$	−9.28532			−0.296457
$982$	5.62935	+	22.3722i	0.179640	+	0.713926i
$983$	−0.455845	−	0.219524i	−0.0145392	−	0.00700171i	0.426600	−	0.904440i	$-0.359711\pi$
$983$	−0.455845	−	0.219524i	−0.0145392	−	0.00700171i	−0.441139	+	0.897439i	$0.645426\pi$
$984$	2.66768	−	16.7343i	0.0850424	−	0.533471i
$985$	41.1535	−	85.4562i	1.31126	−	2.72286i
$986$	9.85829	−	48.0659i	0.313952	−	1.53073i
$987$	−0.623470	−	0.937099i	−0.0198453	−	0.0298282i
$988$	1.26215	+	0.229918i	0.0401542	+	0.00731467i
$989$	−17.3299	−	21.7310i	−0.551057	−	0.691004i
$990$	−23.2603	−	4.77067i	−0.739260	−	0.151622i
$991$	23.4583	+	18.7074i	0.745177	+	0.594259i	0.920725	−	0.390212i	$-0.127598\pi$
$991$	23.4583	+	18.7074i	0.745177	+	0.594259i	−0.175548	+	0.984471i	$0.556170\pi$
$992$	−0.167755	+	0.476857i	−0.00532623	+	0.0151402i
$993$	13.0756	+	10.4275i	0.414942	+	0.330905i
$994$	−18.8386	−	27.0013i	−0.597523	−	0.856429i
$995$	−54.6700	+	43.5979i	−1.73316	+	1.38215i
$996$	19.7463	+	22.6320i	0.625686	+	0.717123i
$997$	7.93383	+	1.81084i	0.251267	+	0.0573500i	0.346299	−	0.938124i	$-0.387438\pi$
$997$	7.93383	+	1.81084i	0.251267	+	0.0573500i	−0.0950322	+	0.995474i	$0.530295\pi$
$998$	11.5434	−	15.1502i	0.365399	−	0.479570i
$999$	7.51900			0.237891

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.55.3	yes	168
4.3	odd	2		588.2.x.a.55.14	✓	168
49.41	odd	14		588.2.x.a.139.14	yes	168
196.139	even	14	inner	588.2.x.b.139.3	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.14	✓	168	4.3	odd	2
588.2.x.a.139.14	yes	168	49.41	odd	14
588.2.x.b.55.3	yes	168	1.1	even	1	trivial
588.2.x.b.139.3	yes	168	196.139	even	14	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.37146 + 0.345091i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.76182 - 0.946559i) q^{4} +(1.63442 - 3.39390i) q^{5} +(-1.38538 - 0.284140i) q^{6} +(-0.364664 - 2.62050i) q^{7} +(-2.08963 + 1.90616i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.37146 + 0.345091i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.76182 - 0.946559i) q^{4} +(1.63442 - 3.39390i) q^{5} +(-1.38538 - 0.284140i) q^{6} +(-0.364664 - 2.62050i) q^{7} +(-2.08963 + 1.90616i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-1.07034 + 5.21863i) q^{10} +(3.48475 + 2.77900i) q^{11} +(1.99805 - 0.0883928i) q^{12} +(0.0601076 + 0.0479342i) q^{13} +(1.40443 + 3.46808i) q^{14} +(2.94511 - 2.34865i) q^{15} +(2.20805 - 3.33534i) q^{16} +(-5.54435 - 1.26546i) q^{17} +(-1.12490 - 0.857093i) q^{18} +8.34358 q^{19} +(-0.332970 - 7.52652i) q^{20} +(0.808442 - 2.51921i) q^{21} +(-5.73821 - 2.60874i) q^{22} +(-6.27198 + 1.43154i) q^{23} +(-2.70974 + 0.810734i) q^{24} +(-5.72978 - 7.18492i) q^{25} +(-0.0989770 - 0.0449974i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-3.12293 - 4.27169i) q^{28} +(1.35757 - 5.94790i) q^{29} +(-3.22862 + 4.23742i) q^{30} +0.0893613 q^{31} +(-1.87727 + 5.33628i) q^{32} +(1.93389 + 4.01576i) q^{33} +(8.04057 - 0.177769i) q^{34} +(-9.48972 - 3.04535i) q^{35} +(1.83853 + 0.787280i) q^{36} +(1.67314 - 7.33048i) q^{37} +(-11.4429 + 2.87929i) q^{38} +(0.0333572 + 0.0692669i) q^{39} +(3.05399 + 10.2074i) q^{40} +(-2.59948 + 5.39787i) q^{41} +(-0.239392 + 3.73399i) q^{42} +(1.87459 + 3.89263i) q^{43} +(8.77000 + 1.59758i) q^{44} +(3.67250 - 0.838224i) q^{45} +(8.10778 - 4.12771i) q^{46} +(0.265244 - 0.332606i) q^{47} +(3.43654 - 2.04700i) q^{48} +(-6.73404 + 1.91120i) q^{49} +(10.3376 + 7.87656i) q^{50} +(-4.44622 - 3.54574i) q^{51} +(0.151272 + 0.0275563i) q^{52} +(-1.25947 - 5.51810i) q^{53} +(-0.641618 - 1.26029i) q^{54} +(15.1272 - 7.28485i) q^{55} +(5.75711 + 4.78077i) q^{56} +(7.51730 + 3.62014i) q^{57} +(0.190708 + 8.62582i) q^{58} +(3.16168 - 1.52258i) q^{59} +(2.96564 - 6.92563i) q^{60} +(9.24207 + 2.10944i) q^{61} +(-0.122556 + 0.0308377i) q^{62} +(1.82143 - 1.91896i) q^{63} +(0.733107 - 7.96634i) q^{64} +(0.260925 - 0.125655i) q^{65} +(-4.03806 - 4.84011i) q^{66} -0.257085i q^{67} +(-10.9660 + 3.01853i) q^{68} +(-6.27198 - 1.43154i) q^{69} +(14.0657 + 0.901776i) q^{70} +(-8.57858 + 1.95800i) q^{71} +(-2.79316 - 0.445267i) q^{72} +(-1.62689 + 1.29740i) q^{73} +(0.235038 + 10.6309i) q^{74} +(-2.04494 - 8.95945i) q^{75} +(14.6999 - 7.89769i) q^{76} +(6.01159 - 10.1452i) q^{77} +(-0.0696516 - 0.0834858i) q^{78} +3.00184i q^{79} +(-7.71093 - 12.9452i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(1.70233 - 8.30004i) q^{82} +(9.36338 + 11.7413i) q^{83} +(-0.960248 - 5.20365i) q^{84} +(-13.3566 + 16.7487i) q^{85} +(-3.91425 - 4.69170i) q^{86} +(3.80383 - 4.76985i) q^{87} +(-12.5790 + 0.835419i) q^{88} +(6.00822 - 4.79140i) q^{89} +(-4.74743 + 2.41694i) q^{90} +(0.103693 - 0.174992i) q^{91} +(-9.69510 + 8.45892i) q^{92} +(0.0805117 + 0.0387724i) q^{93} +(-0.248994 + 0.547690i) q^{94} +(13.6369 - 28.3173i) q^{95} +(-4.00669 + 3.99330i) q^{96} +1.98364i q^{97} +(8.57595 - 4.94500i) q^{98} +4.45716i 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	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * 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 + 23 * 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 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

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