LMFDB - Embedded newform 588.2.x.a.223.5

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			223.5
Character	$\chi$	$=$	588.223
Dual form			588.2.x.a.559.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.20962 + 0.732680i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.926360 - 1.77253i) q^{4} +(2.14831 + 0.490338i) q^{5} +(-0.445144 - 1.34233i) q^{6} +(1.67043 + 2.05175i) q^{7} +(0.178152 + 2.82281i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(-1.20962 + 0.732680i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.926360 - 1.77253i) q^{4} +(2.14831 + 0.490338i) q^{5} +(-0.445144 - 1.34233i) q^{6} +(1.67043 + 2.05175i) q^{7} +(0.178152 + 2.82281i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-2.95790 + 0.980901i) q^{10} +(1.39130 + 2.88907i) q^{11} +(1.52195 + 1.29756i) q^{12} +(-1.12155 - 2.32892i) q^{13} +(-3.52386 - 1.25795i) q^{14} +(-0.956088 + 1.98534i) q^{15} +(-2.28371 - 3.28400i) q^{16} +(1.59399 - 1.27116i) q^{17} +(1.40773 - 0.135287i) q^{18} +2.54983 q^{19} +(2.85925 - 3.35371i) q^{20} +(-2.37201 + 1.17199i) q^{21} +(-3.79971 - 2.47530i) q^{22} +(1.26830 + 1.01143i) q^{23} +(-2.79168 - 0.454449i) q^{24} +(-0.130038 - 0.0626230i) q^{25} +(3.06300 + 1.99537i) q^{26} +(0.623490 - 0.781831i) q^{27} +(5.18420 - 1.06022i) q^{28} +(4.92110 + 6.17086i) q^{29} +(-0.298114 - 3.10201i) q^{30} +4.58100 q^{31} +(5.16855 + 2.29916i) q^{32} +(-3.12623 + 0.713542i) q^{33} +(-0.996764 + 2.70551i) q^{34} +(2.58254 + 5.22687i) q^{35} +(-1.60369 + 1.19506i) q^{36} +(-5.04065 - 6.32077i) q^{37} +(-3.08432 + 1.86821i) q^{38} +(2.52010 - 0.575196i) q^{39} +(-1.00141 + 6.15163i) q^{40} +(-1.58946 - 0.362785i) q^{41} +(2.01054 - 3.15559i) q^{42} +(-6.91951 + 1.57933i) q^{43} +(6.40981 + 0.210196i) q^{44} +(-1.72281 - 1.37390i) q^{45} +(-2.27521 - 0.294194i) q^{46} +(-7.79226 + 3.75255i) q^{47} +(3.70984 - 1.49570i) q^{48} +(-1.41935 + 6.85459i) q^{49} +(0.203179 - 0.0195262i) q^{50} +(0.884596 + 1.83688i) q^{51} +(-5.16704 - 0.169442i) q^{52} +(3.59364 - 4.50629i) q^{53} +(-0.181353 + 1.40254i) q^{54} +(1.57233 + 6.88883i) q^{55} +(-5.49411 + 5.08082i) q^{56} +(-0.567390 + 2.48590i) q^{57} +(-10.4739 - 3.85881i) q^{58} +(2.42301 + 10.6159i) q^{59} +(2.63338 + 3.53383i) q^{60} +(-5.04557 + 4.02370i) q^{61} +(-5.54126 + 3.35640i) q^{62} +(-0.614781 - 2.57333i) q^{63} +(-7.93652 + 1.00578i) q^{64} +(-1.26748 - 5.55318i) q^{65} +(3.25875 - 3.15364i) q^{66} +2.06226i q^{67} +(-0.776565 - 4.00294i) q^{68} +(-1.26830 + 1.01143i) q^{69} +(-6.95352 - 4.43035i) q^{70} +(-0.0808511 - 0.0644766i) q^{71} +(1.06426 - 2.62056i) q^{72} +(5.32433 - 11.0561i) q^{73} +(10.7284 + 3.95255i) q^{74} +(0.0899890 - 0.112843i) q^{75} +(2.36206 - 4.51964i) q^{76} +(-3.60358 + 7.68059i) q^{77} +(-2.62693 + 2.54219i) q^{78} -0.363543i q^{79} +(-3.29586 - 8.17484i) q^{80} +(0.623490 + 0.781831i) q^{81} +(2.18845 - 0.725737i) q^{82} +(-2.97368 - 1.43205i) q^{83} +(-0.119956 + 5.29014i) q^{84} +(4.04768 - 1.94926i) q^{85} +(7.21283 - 6.98018i) q^{86} +(-7.11119 + 3.42457i) q^{87} +(-7.90744 + 4.44208i) q^{88} +(-3.25601 + 6.76118i) q^{89} +(3.09057 + 0.399623i) q^{90} +(2.90490 - 6.19143i) q^{91} +(2.96769 - 1.31114i) q^{92} +(-1.01937 + 4.46614i) q^{93} +(6.67625 - 10.2484i) q^{94} +(5.47782 + 1.25028i) q^{95} +(-3.39163 + 4.52735i) q^{96} +2.62144i q^{97} +(-3.30535 - 9.33138i) q^{98} -3.20663i 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 $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

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

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 $

$2$	−1.20962	+	0.732680i	−0.855330	+	0.518083i
$2$	−1.20962	+	0.732680i	−0.855330	+	0.518083i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$4$	0.926360	−	1.77253i	0.463180	−	0.886264i
$5$	2.14831	+	0.490338i	0.960754	+	0.219286i	0.674011	−	0.738722i	$-0.264570\pi$
$5$	2.14831	+	0.490338i	0.960754	+	0.219286i	0.286743	+	0.958008i	$0.407427\pi$
$6$	−0.445144	−	1.34233i	−0.181729	−	0.548003i
$7$	1.67043	+	2.05175i	0.631362	+	0.775488i
$7$	1.67043	+	2.05175i	0.631362	+	0.775488i
$8$	0.178152	+	2.82281i	0.0629863	+	0.998014i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	−2.95790	+	0.980901i	−0.935370	+	0.310188i
$11$	1.39130	+	2.88907i	0.419494	+	0.871088i	0.998446	+	0.0557264i	$0.0177475\pi$
$11$	1.39130	+	2.88907i	0.419494	+	0.871088i	−0.578952	+	0.815361i	$0.696538\pi$
$12$	1.52195	+	1.29756i	0.439350	+	0.374573i
$13$	−1.12155	−	2.32892i	−0.311062	−	0.645927i	0.685563	−	0.728013i	$-0.259556\pi$
$13$	−1.12155	−	2.32892i	−0.311062	−	0.645927i	−0.996625	+	0.0820864i	$0.973842\pi$
$14$	−3.52386	−	1.25795i	−0.941790	−	0.336201i
$15$	−0.956088	+	1.98534i	−0.246861	+	0.512612i
$16$	−2.28371	−	3.28400i	−0.570928	−	0.821000i
$17$	1.59399	−	1.27116i	0.386599	−	0.308302i	−0.410834	−	0.911710i	$-0.634762\pi$
$17$	1.59399	−	1.27116i	0.386599	−	0.308302i	0.797433	+	0.603408i	$0.206191\pi$
$18$	1.40773	−	0.135287i	0.331805	−	0.0318875i
$19$	2.54983			0.584970			0.292485	−	0.956270i	$-0.405518\pi$
$19$	2.54983			0.584970			0.292485	+	0.956270i	$0.405518\pi$
$20$	2.85925	−	3.35371i	0.639347	−	0.749913i
$21$	−2.37201	+	1.17199i	−0.517616	+	0.255749i
$22$	−3.79971	−	2.47530i	−0.810102	−	0.527735i
$23$	1.26830	+	1.01143i	0.264458	+	0.210898i	0.746737	−	0.665119i	$-0.231619\pi$
$23$	1.26830	+	1.01143i	0.264458	+	0.210898i	−0.482279	+	0.876018i	$0.660191\pi$
$24$	−2.79168	−	0.454449i	−0.569849	−	0.0927640i
$25$	−0.130038	−	0.0626230i	−0.0260076	−	0.0125246i
$26$	3.06300	+	1.99537i	0.600704	+	0.391325i
$27$	0.623490	−	0.781831i	0.119991	−	0.150464i
$28$	5.18420	−	1.06022i	0.979722	−	0.200363i
$29$	4.92110	+	6.17086i	0.913825	+	1.14590i	0.988879	+	0.148721i	$0.0475155\pi$
$29$	4.92110	+	6.17086i	0.913825	+	1.14590i	−0.0750546	+	0.997179i	$0.523913\pi$
$30$	−0.298114	−	3.10201i	−0.0544279	−	0.566347i
$31$	4.58100			0.822771			0.411386	−	0.911461i	$-0.365045\pi$
$31$	4.58100			0.822771			0.411386	+	0.911461i	$0.365045\pi$
$32$	5.16855	+	2.29916i	0.913678	+	0.406438i
$33$	−3.12623	+	0.713542i	−0.544207	+	0.124212i
$34$	−0.996764	+	2.70551i	−0.170944	+	0.463990i
$35$	2.58254	+	5.22687i	0.436530	+	0.883502i
$36$	−1.60369	+	1.19506i	−0.267282	+	0.199177i
$37$	−5.04065	−	6.32077i	−0.828677	−	1.03913i	−0.998559	−	0.0536637i	$-0.982910\pi$
$37$	−5.04065	−	6.32077i	−0.828677	−	1.03913i	0.169882	−	0.985464i	$-0.445661\pi$
$38$	−3.08432	+	1.86821i	−0.500343	+	0.303063i
$39$	2.52010	−	0.575196i	0.403539	−	0.0921051i
$40$	−1.00141	+	6.15163i	−0.158336	+	0.972658i
$41$	−1.58946	−	0.362785i	−0.248233	−	0.0566575i	0.0965940	−	0.995324i	$-0.469205\pi$
$41$	−1.58946	−	0.362785i	−0.248233	−	0.0566575i	−0.344827	+	0.938666i	$0.612062\pi$
$42$	2.01054	−	3.15559i	0.310233	−	0.486917i
$43$	−6.91951	+	1.57933i	−1.05521	+	0.240846i	−0.714727	−	0.699403i	$-0.753449\pi$
$43$	−6.91951	+	1.57933i	−1.05521	+	0.240846i	−0.340488	+	0.940249i	$0.610592\pi$
$44$	6.40981	+	0.210196i	0.966315	+	0.0316883i
$45$	−1.72281	−	1.37390i	−0.256822	−	0.204808i
$46$	−2.27521	−	0.294194i	−0.335462	−	0.0433765i
$47$	−7.79226	+	3.75255i	−1.13662	+	0.547366i	−0.904988	−	0.425438i	$-0.860120\pi$
$47$	−7.79226	+	3.75255i	−1.13662	+	0.547366i	−0.231630	+	0.972804i	$0.574406\pi$
$48$	3.70984	−	1.49570i	0.535469	−	0.215885i
$49$	−1.41935	+	6.85459i	−0.202765	+	0.979228i
$50$	0.203179	−	0.0195262i	0.0287339	−	0.00276142i
$51$	0.884596	+	1.83688i	0.123868	+	0.257215i
$52$	−5.16704	−	0.169442i	−0.716539	−	0.0234974i
$53$	3.59364	−	4.50629i	0.493625	−	0.618986i	−0.471153	−	0.882051i	$-0.656162\pi$
$53$	3.59364	−	4.50629i	0.493625	−	0.618986i	0.964778	+	0.263065i	$0.0847335\pi$
$54$	−0.181353	+	1.40254i	−0.0246791	+	0.190861i
$55$	1.57233	+	6.88883i	0.212013	+	0.928890i
$56$	−5.49411	+	5.08082i	−0.734181	+	0.678953i
$57$	−0.567390	+	2.48590i	−0.0751526	+	0.329265i
$58$	−10.4739	−	3.85881i	−1.37529	−	0.506686i
$59$	2.42301	+	10.6159i	0.315449	+	1.38207i	0.845441	+	0.534070i	$0.179338\pi$
$59$	2.42301	+	10.6159i	0.315449	+	1.38207i	−0.529991	+	0.848003i	$0.677805\pi$
$60$	2.63338	+	3.53383i	0.339968	+	0.456216i
$61$	−5.04557	+	4.02370i	−0.646018	+	0.515182i	−0.890800	−	0.454396i	$-0.849855\pi$
$61$	−5.04557	+	4.02370i	−0.646018	+	0.515182i	0.244781	+	0.969578i	$0.421284\pi$
$62$	−5.54126	+	3.35640i	−0.703741	+	0.426264i
$63$	−0.614781	−	2.57333i	−0.0774552	−	0.324210i
$64$	−7.93652	+	1.00578i	−0.992065	+	0.125722i
$65$	−1.26748	−	5.55318i	−0.157211	−	0.688788i
$66$	3.25875	−	3.15364i	0.401125	−	0.388186i
$67$			2.06226i			0.251945i	0.992034	+	0.125973i	$0.0402052\pi$
$67$			2.06226i			0.251945i	−0.992034	+	0.125973i	$0.959795\pi$
$68$	−0.776565	−	4.00294i	−0.0941723	−	0.485428i
$69$	−1.26830	+	1.01143i	−0.152685	+	0.121762i
$70$	−6.95352	−	4.43035i	−0.831104	−	0.529528i
$71$	−0.0808511	−	0.0644766i	−0.00959527	−	0.00765197i	0.618680	−	0.785643i	$-0.287668\pi$
$71$	−0.0808511	−	0.0644766i	−0.00959527	−	0.00765197i	−0.628276	+	0.777991i	$0.716239\pi$
$72$	1.06426	−	2.62056i	0.125425	−	0.308836i
$73$	5.32433	−	11.0561i	0.623165	−	1.29402i	−0.315415	−	0.948954i	$-0.602144\pi$
$73$	5.32433	−	11.0561i	0.623165	−	1.29402i	0.938580	−	0.345062i	$-0.112142\pi$
$74$	10.7284	+	3.95255i	1.24715	+	0.459474i
$75$	0.0899890	−	0.112843i	0.0103910	−	0.0130300i
$76$	2.36206	−	4.51964i	0.270947	−	0.518438i
$77$	−3.60358	+	7.68059i	−0.410666	+	0.875284i
$78$	−2.62693	+	2.54219i	−0.297441	+	0.287847i
$79$		−	0.363543i		−	0.0409018i	−0.999791	−	0.0204509i	$-0.993490\pi$
$79$		−	0.363543i		−	0.0409018i	0.999791	−	0.0204509i	$-0.00651017\pi$
$80$	−3.29586	−	8.17484i	−0.368488	−	0.913975i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	2.18845	−	0.725737i	0.241674	−	0.0801443i
$83$	−2.97368	−	1.43205i	−0.326404	−	0.157188i	0.263504	−	0.964658i	$-0.415122\pi$
$83$	−2.97368	−	1.43205i	−0.326404	−	0.157188i	−0.589908	+	0.807470i	$0.700836\pi$
$84$	−0.119956	+	5.29014i	−0.0130883	+	0.577202i
$85$	4.04768	−	1.94926i	0.439032	−	0.211427i
$86$	7.21283	−	6.98018i	0.777779	−	0.752692i
$87$	−7.11119	+	3.42457i	−0.762400	+	0.367152i
$88$	−7.90744	+	4.44208i	−0.842936	+	0.473527i
$89$	−3.25601	+	6.76118i	−0.345137	+	0.716684i	−0.999210	−	0.0397476i	$-0.987345\pi$
$89$	−3.25601	+	6.76118i	−0.345137	+	0.716684i	0.654073	+	0.756431i	$0.273059\pi$
$90$	3.09057	+	0.399623i	0.325775	+	0.0421239i
$91$	2.90490	−	6.19143i	0.304516	−	0.649038i
$92$	2.96769	−	1.31114i	0.309403	−	0.136696i
$93$	−1.01937	+	4.46614i	−0.105703	+	0.463117i
$94$	6.67625	−	10.2484i	0.688603	−	1.05704i
$95$	5.47782	+	1.25028i	0.562012	+	0.128276i
$96$	−3.39163	+	4.52735i	−0.346156	+	0.462070i
$97$			2.62144i			0.266167i	0.991105	+	0.133084i	$0.0424879\pi$
$97$			2.62144i			0.266167i	−0.991105	+	0.133084i	$0.957512\pi$
$98$	−3.30535	−	9.33138i	−0.333890	−	0.942612i
$99$		−	3.20663i		−	0.322278i
$100$	−0.231463	+	0.172484i	−0.0231463	+	0.0172484i
$101$	15.8899	+	3.62677i	1.58111	+	0.360877i	0.920774	−	0.390096i	$-0.127558\pi$
$101$	15.8899	+	3.62677i	1.58111	+	0.360877i	0.660333	+	0.750973i	$0.270415\pi$
$102$	−2.41587	−	1.57380i	−0.239207	−	0.155830i
$103$	−1.31755	+	5.77255i	−0.129822	+	0.568787i	0.867615	+	0.497236i	$0.165652\pi$
$103$	−1.31755	+	5.77255i	−0.129822	+	0.568787i	−0.997437	+	0.0715504i	$0.977205\pi$
$104$	6.37430	−	3.58082i	0.625051	−	0.351129i
$105$	−5.67049	+	1.35471i	−0.553383	+	0.132206i
$106$	−1.04528	+	8.08389i	−0.101526	+	0.785176i
$107$	3.44231	−	7.14803i	0.332780	−	0.691026i	−0.665695	−	0.746224i	$-0.731865\pi$
$107$	3.44231	−	7.14803i	0.332780	−	0.691026i	0.998475	+	0.0551982i	$0.0175791\pi$
$108$	−0.808242	−	1.82941i	−0.0777731	−	0.176035i
$109$	10.1448	−	4.88547i	0.971694	−	0.467943i	0.120453	−	0.992719i	$-0.461565\pi$
$109$	10.1448	−	4.88547i	0.971694	−	0.467943i	0.851240	+	0.524776i	$0.175851\pi$
$110$	−6.94923	−	7.18085i	−0.662583	−	0.684667i
$111$	7.28394	−	3.50776i	0.691361	−	0.332942i
$112$	2.92317	−	10.1713i	0.276214	−	0.961096i
$113$	−6.89236	−	3.31918i	−0.648378	−	0.312243i	0.0806333	−	0.996744i	$-0.474306\pi$
$113$	−6.89236	−	3.31918i	−0.648378	−	0.312243i	−0.729012	+	0.684501i	$0.760020\pi$
$114$	−1.13504	−	3.42270i	−0.106306	−	0.320566i
$115$	2.22875	+	2.79477i	0.207832	+	0.260613i
$116$	15.4967	−	3.00634i	1.43884	−	0.279132i
$117$			2.58491i			0.238975i
$118$	−10.7090	−	11.0659i	−0.985841	−	1.01870i
$119$	5.27075	+	1.14708i	0.483168	+	0.105153i
$120$	−5.77456	−	2.34516i	−0.527143	−	0.214083i
$121$	0.447378	−	0.560995i	0.0406707	−	0.0509995i
$122$	3.15513	−	8.56394i	0.285652	−	0.775342i
$123$	0.707378	−	1.46889i	0.0637822	−	0.132445i
$124$	4.24365	−	8.11995i	0.381091	−	0.729193i
$125$	−8.86271	−	7.06778i	−0.792705	−	0.632161i
$126$	2.62908	+	2.66232i	0.234217	+	0.237178i
$127$	10.2242	−	8.15353i	0.907252	−	0.723509i	−0.0541862	−	0.998531i	$-0.517256\pi$
$127$	10.2242	−	8.15353i	0.907252	−	0.723509i	0.961438	+	0.275022i	$0.0886850\pi$
$128$	8.86326	−	7.03154i	0.783409	−	0.621506i
$129$		−	7.09746i		−	0.624896i
$130$	5.60187	+	5.78859i	0.491317	+	0.507693i
$131$	−4.34100	−	19.0192i	−0.379275	−	1.66171i	−0.699698	−	0.714439i	$-0.746682\pi$
$131$	−4.34100	−	19.0192i	−0.379275	−	1.66171i	0.320423	−	0.947275i	$-0.396175\pi$
$132$	−1.63124	+	6.20233i	−0.141981	+	0.539843i
$133$	4.25930	+	5.23160i	0.369328	+	0.453638i
$134$	−1.51098	−	2.49455i	−0.130529	−	0.215496i
$135$	1.72281	−	1.37390i	0.148276	−	0.118246i
$136$	3.87222	+	4.27307i	0.332040	+	0.366412i
$137$	−0.281494	−	1.23331i	−0.0240497	−	0.105368i	0.961479	−	0.274880i	$-0.0886381\pi$
$137$	−0.281494	−	1.23331i	−0.0240497	−	0.105368i	−0.985528	+	0.169512i	$0.945781\pi$
$138$	0.793100	−	2.15270i	0.0675132	−	0.183250i
$139$	−2.20770	+	9.67255i	−0.187254	+	0.820415i	0.790802	+	0.612073i	$0.209664\pi$
$139$	−2.20770	+	9.67255i	−0.187254	+	0.820415i	−0.978056	+	0.208342i	$0.933193\pi$
$140$	11.6571	+	0.264331i	0.985208	+	0.0223400i
$141$	−1.92453	−	8.43191i	−0.162075	−	0.710095i
$142$	0.145040	+	0.0187542i	0.0121715	+	0.00157382i
$143$	5.16801	−	6.48047i	0.432170	−	0.541924i
$144$	0.632680	+	3.94965i	0.0527234	+	0.329137i
$145$	7.54624	+	15.6699i	0.626681	+	1.30132i
$146$	1.66016	+	17.2747i	0.137395	+	1.42966i
$147$	−6.36690	−	2.90906i	−0.525133	−	0.239935i
$148$	−15.8732	+	3.07938i	−1.30477	+	0.253123i
$149$	−12.0750	+	5.81504i	−0.989226	+	0.476386i	−0.857269	−	0.514869i	$-0.827841\pi$
$149$	−12.0750	+	5.81504i	−0.989226	+	0.476386i	−0.131958	+	0.991255i	$0.542126\pi$
$150$	−0.0261750	+	0.202430i	−0.00213718	+	0.0165283i
$151$	−13.7382	−	10.9559i	−1.11800	−	0.891578i	−0.123098	−	0.992395i	$-0.539283\pi$
$151$	−13.7382	−	10.9559i	−1.11800	−	0.891578i	−0.994905	+	0.100817i	$0.967854\pi$
$152$	0.454257	+	7.19768i	0.0368451	+	0.583809i
$153$	−1.98767	+	0.453673i	−0.160694	+	0.0366773i
$154$	−1.26845	−	11.9309i	−0.102215	−	0.961416i
$155$	9.84140	+	2.24624i	0.790480	+	0.180422i
$156$	1.31497	−	4.99979i	0.105282	−	0.400303i
$157$	18.9207	−	4.31852i	1.51003	−	0.344655i	0.614238	−	0.789121i	$-0.289464\pi$
$157$	18.9207	−	4.31852i	1.51003	−	0.344655i	0.895796	+	0.444466i	$0.146606\pi$
$158$	0.266361	+	0.439749i	0.0211905	+	0.0349845i
$159$	3.59364	+	4.50629i	0.284995	+	0.357372i
$160$	9.97627	+	7.47364i	0.788694	+	0.590843i
$161$	0.0433894	+	4.29175i	0.00341957	+	0.338237i
$162$	−1.32702	−	0.488900i	−0.104260	−	0.0384116i
$163$	−9.84435	+	2.24691i	−0.771069	+	0.175992i	−0.589917	−	0.807464i	$-0.700840\pi$
$163$	−9.84435	+	2.24691i	−0.771069	+	0.175992i	−0.181152	+	0.983455i	$0.557983\pi$
$164$	−2.11546	+	2.48130i	−0.165190	+	0.193757i
$165$	−7.06599			−0.550087
$166$	4.64626	−	0.446521i	0.360620	−	0.0346568i
$167$	−14.6538	−	18.3752i	−1.13394	−	1.42192i	−0.892236	−	0.451570i	$-0.850864\pi$
$167$	−14.6538	−	18.3752i	−1.13394	−	1.42192i	−0.241707	−	0.970349i	$-0.577707\pi$
$168$	−3.73088	−	6.48695i	−0.287844	−	0.500479i
$169$	3.93937	−	4.93981i	0.303028	−	0.379985i
$170$	−3.46797	+	5.32352i	−0.265981	+	0.408295i
$171$	−2.29731	−	1.10633i	−0.175680	−	0.0846030i
$172$	−3.61055	+	13.7281i	−0.275302	+	1.04675i
$173$	14.5608	+	11.6119i	1.10704	+	0.882833i	0.993849	−	0.110741i	$-0.0353224\pi$
$173$	14.5608	+	11.6119i	1.10704	+	0.882833i	0.113188	+	0.993574i	$0.463894\pi$
$174$	6.09272	−	9.35265i	0.461888	−	0.709023i
$175$	−0.0887321	−	0.371412i	−0.00670752	−	0.0280761i
$176$	6.31037	−	11.1669i	0.475662	−	0.841733i
$177$	−10.8889			−0.818460
$178$	−1.01524	−	10.5641i	−0.0760957	−	0.791811i
$179$	19.9925	−	15.9435i	1.49431	−	1.19167i	0.563531	−	0.826095i	$-0.309443\pi$
$179$	19.9925	−	15.9435i	1.49431	−	1.19167i	0.930780	−	0.365579i	$-0.119129\pi$
$180$	−4.03121	+	1.78101i	−0.300469	+	0.132749i
$181$	2.37562	−	4.93302i	0.176578	−	0.366669i	−0.793830	−	0.608140i	$-0.791916\pi$
$181$	2.37562	−	4.93302i	0.176578	−	0.366669i	0.970408	+	0.241472i	$0.0776301\pi$
$182$	1.02251	+	9.61764i	0.0757938	+	0.712907i
$183$	−2.80008	−	5.81442i	−0.206988	−	0.429814i
$184$	−2.62913	+	3.76035i	−0.193822	+	0.277217i
$185$	−7.72956	−	16.0506i	−0.568288	−	1.18006i
$186$	−2.03920	−	6.14920i	−0.149522	−	0.450881i
$187$	5.89020	+	2.83657i	0.430734	+	0.207431i
$188$	−0.566931	+	17.2882i	−0.0413477	+	1.26087i
$189$	2.64562	−	0.0267471i	0.192440	−	0.00194556i
$190$	−7.54213	+	2.50113i	−0.547164	+	0.181451i
$191$	−14.7172	−	3.35910i	−1.06490	−	0.243056i	−0.346044	−	0.938218i	$-0.612475\pi$
$191$	−14.7172	−	3.35910i	−1.06490	−	0.243056i	−0.718853	+	0.695162i	$0.755333\pi$
$192$	0.785481	−	7.96135i	0.0566872	−	0.574561i
$193$	3.27460	−	14.3470i	0.235711	−	1.03272i	−0.709102	−	0.705106i	$-0.750899\pi$
$193$	3.27460	−	14.3470i	0.235711	−	1.03272i	0.944813	−	0.327611i	$-0.106244\pi$
$194$	−1.92068	−	3.17095i	−0.137897	−	0.227661i
$195$	5.69599			0.407899
$196$	10.8351	+	8.86566i	0.773938	+	0.633262i
$197$	−22.6546			−1.61407			−0.807035	−	0.590503i	$-0.798929\pi$
$197$	−22.6546			−1.61407			−0.807035	+	0.590503i	$0.798929\pi$
$198$	2.34943	+	3.87880i	0.166967	+	0.275654i
$199$	2.59018	−	11.3483i	0.183613	−	0.804463i	−0.796278	−	0.604931i	$-0.793201\pi$
$199$	2.59018	−	11.3483i	0.183613	−	0.804463i	0.979891	−	0.199532i	$-0.0639421\pi$
$200$	0.153606	−	0.378229i	0.0108616	−	0.0267448i
$201$	−2.01056	−	0.458896i	−0.141814	−	0.0323680i
$202$	−21.8780	+	7.25522i	−1.53933	+	0.510475i
$203$	−4.44073	+	20.4048i	−0.311678	+	1.43214i
$204$	4.07538	+	0.133644i	0.285334	+	0.00935693i
$205$	−3.23678	−	1.55875i	−0.226066	−	0.108868i
$206$	−2.63570	−	7.94794i	−0.183638	−	0.553759i
$207$	−0.703852	−	1.46156i	−0.0489211	−	0.101586i
$208$	−5.08688	+	9.00176i	−0.352712	+	0.624160i
$209$	3.54758	+	7.36663i	0.245391	+	0.509560i
$210$	5.86657	−	5.79333i	0.404832	−	0.399778i
$211$	10.9358	−	22.7084i	0.752851	−	1.56331i	−0.0716359	−	0.997431i	$-0.522822\pi$
$211$	10.9358	−	22.7084i	0.752851	−	1.56331i	0.824487	−	0.565881i	$-0.191464\pi$
$212$	−4.65851	−	10.5443i	−0.319948	−	0.724184i
$213$	0.0808511	−	0.0644766i	0.00553983	−	0.00441787i
$214$	1.07333	+	11.1685i	0.0733714	+	0.763463i
$215$	−15.6397			−1.06662
$216$	2.31804	+	1.62071i	0.157723	+	0.110275i
$217$	7.65222	+	9.39906i	0.519466	+	0.638050i
$218$	−8.69184	+	13.3424i	−0.588686	+	0.903664i
$219$	9.59411	+	7.65104i	0.648310	+	0.517010i
$220$	13.6672	+	3.59454i	0.921442	+	0.242344i
$221$	−4.74817	−	2.28660i	−0.319397	−	0.153813i
$222$	−6.24074	+	9.57986i	−0.418851	+	0.642958i
$223$	−14.2264	+	17.8394i	−0.952673	+	1.19461i	0.0281277	+	0.999604i	$0.491046\pi$
$223$	−14.2264	+	17.8394i	−0.952673	+	1.19461i	−0.980801	+	0.195010i	$0.937526\pi$
$224$	3.91637	+	14.4451i	0.261674	+	0.965156i
$225$	0.0899890	+	0.112843i	0.00599927	+	0.00752285i
$226$	10.7690	−	1.03494i	0.716345	−	0.0688432i
$227$	−1.16707			−0.0774613			−0.0387307	−	0.999250i	$-0.512331\pi$
$227$	−1.16707			−0.0774613			−0.0387307	+	0.999250i	$0.512331\pi$
$228$	3.88071	+	3.30855i	0.257007	+	0.219114i
$229$	27.0763	−	6.17998i	1.78925	−	0.408385i	0.806188	−	0.591660i	$-0.201527\pi$
$229$	27.0763	−	6.17998i	1.78925	−	0.408385i	0.983062	+	0.183275i	$0.0586699\pi$
$230$	−4.74361	−	1.74764i	−0.312784	−	0.115236i
$231$	−6.68615	−	5.22232i	−0.439916	−	0.343604i
$232$	−16.5425	+	14.9907i	−1.08607	+	0.984186i
$233$	−8.73635	−	10.9550i	−0.572337	−	0.717688i	0.408447	−	0.912782i	$-0.366070\pi$
$233$	−8.73635	−	10.9550i	−0.572337	−	0.717688i	−0.980785	+	0.195093i	$0.937499\pi$
$234$	−1.89391	−	3.12676i	−0.123809	−	0.204402i
$235$	−18.5802	+	4.24081i	−1.21204	+	0.276640i
$236$	21.0616	+	5.53930i	1.37099	+	0.360577i
$237$	0.354428	+	0.0808959i	0.0230226	+	0.00525475i
$238$	−7.21604	+	2.47424i	−0.467746	+	0.160381i
$239$	−23.5092	+	5.36582i	−1.52068	+	0.347086i	−0.899620	−	0.436675i	$-0.856156\pi$
$239$	−23.5092	+	5.36582i	−1.52068	+	0.347086i	−0.621063	+	0.783760i	$0.713299\pi$
$240$	8.70328	−	1.39415i	0.561794	−	0.0899919i
$241$	11.0630	+	8.82245i	0.712631	+	0.568304i	0.911290	−	0.411764i	$-0.135087\pi$
$241$	11.0630	+	8.82245i	0.712631	+	0.568304i	−0.198659	+	0.980069i	$0.563659\pi$
$242$	−0.130128	+	1.00638i	−0.00836495	+	0.0646922i
$243$	−0.900969	+	0.433884i	−0.0577972	+	0.0278337i
$244$	2.45812	+	12.6708i	0.157365	+	0.811165i
$245$	−6.41027	+	14.0298i	−0.409537	+	0.896333i
$246$	0.220565	+	2.29508i	0.0140627	+	0.146329i
$247$	−2.85976	−	5.93834i	−0.181962	−	0.377848i
$248$	0.816114	+	12.9313i	0.0518233	+	0.821138i
$249$	2.05785	−	2.58047i	0.130411	−	0.163530i
$250$	15.8989	+	2.05579i	1.00554	+	0.130020i
$251$	1.51391	+	6.63289i	0.0955573	+	0.418664i	0.999968	−	0.00799895i	$-0.00254617\pi$
$251$	1.51391	+	6.63289i	0.0955573	+	0.418664i	−0.904411	+	0.426663i	$0.859689\pi$
$252$	−5.13082	−	1.29412i	−0.323211	−	0.0815217i
$253$	−1.15752	+	5.07141i	−0.0727724	+	0.318837i
$254$	−6.39347	+	17.3537i	−0.401162	+	1.08887i
$255$	0.999694	+	4.37995i	0.0626033	+	0.274283i
$256$	−5.56931	+	14.9994i	−0.348082	+	0.937464i
$257$	8.50771	−	6.78467i	0.530696	−	0.423216i	−0.321134	−	0.947034i	$-0.604064\pi$
$257$	8.50771	−	6.78467i	0.530696	−	0.423216i	0.851831	+	0.523817i	$0.175493\pi$
$258$	5.20016	+	8.58522i	0.323748	+	0.534493i
$259$	4.54861	−	20.9005i	0.282637	−	1.29870i
$260$	−11.0173	−	2.89761i	−0.683265	−	0.179702i
$261$	−1.75632	−	7.69494i	−0.108713	−	0.476305i
$262$	19.1859	+	19.8254i	1.18531	+	1.22482i
$263$			7.16551i			0.441844i	0.975291	+	0.220922i	$0.0709066\pi$
$263$			7.16551i			0.441844i	−0.975291	+	0.220922i	$0.929093\pi$
$264$	−2.57114	−	8.69764i	−0.158243	−	0.535303i
$265$	9.92987	−	7.91880i	0.609987	−	0.486448i
$266$	−8.98522	−	3.20755i	−0.550919	−	0.196668i
$267$	−5.86713	−	4.67888i	−0.359063	−	0.286343i
$268$	3.65542	+	1.91040i	0.223290	+	0.116696i
$269$	−1.61263	+	3.34865i	−0.0983236	+	0.204171i	−0.944329	−	0.329004i	$-0.893287\pi$
$269$	−1.61263	+	3.34865i	−0.0983236	+	0.204171i	0.846005	+	0.533175i	$0.179001\pi$
$270$	−1.07732	+	2.92416i	−0.0655636	+	0.177959i
$271$	4.80678	−	6.02751i	0.291991	−	0.366145i	−0.614100	−	0.789228i	$-0.710481\pi$
$271$	4.80678	−	6.02751i	0.291991	−	0.366145i	0.906091	+	0.423083i	$0.139052\pi$
$272$	−7.81471	−	2.33168i	−0.473836	−	0.141379i
$273$	5.38980	+	4.20979i	0.326205	+	0.254788i
$274$	1.24412	+	1.28559i	0.0751600	+	0.0776651i
$275$		−	0.462816i		−	0.0279089i
$276$	0.617894	+	3.18504i	0.0371928	+	0.191717i
$277$	−4.33368	−	5.43426i	−0.260385	−	0.326513i	0.634404	−	0.773002i	$-0.281246\pi$
$277$	−4.33368	−	5.43426i	−0.260385	−	0.326513i	−0.894789	+	0.446489i	$0.852674\pi$
$278$	−4.41641	−	13.3176i	−0.264879	−	0.798739i
$279$	−4.12734	−	1.98762i	−0.247097	−	0.118996i
$280$	−14.2944	+	8.22121i	−0.854252	+	0.491311i
$281$	17.4236	−	8.39078i	1.03941	−	0.500552i	0.165278	−	0.986247i	$-0.447148\pi$
$281$	17.4236	−	8.39078i	1.03941	−	0.500552i	0.874128	+	0.485695i	$0.161433\pi$
$282$	8.50584	+	8.78935i	0.506516	+	0.523398i
$283$	0.736566	−	0.354711i	0.0437843	−	0.0210854i	−0.411863	−	0.911246i	$-0.635122\pi$
$283$	0.736566	−	0.354711i	0.0437843	−	0.0210854i	0.455648	+	0.890160i	$0.349408\pi$
$284$	−0.189184	+	0.0835823i	−0.0112260	+	0.00495970i
$285$	−2.43786	+	5.06226i	−0.144406	+	0.299863i
$286$	−1.50321	+	11.6254i	−0.0888866	+	0.687425i
$287$	−1.91074	−	3.86719i	−0.112787	−	0.228273i
$288$	−3.65913	−	4.31402i	−0.215616	−	0.254206i
$289$	−2.85791	+	12.5213i	−0.168113	+	0.736549i
$290$	−20.6091	−	13.4257i	−1.21021	−	0.788383i
$291$	−2.55572	−	0.583326i	−0.149819	−	0.0341952i
$292$	−14.6650	−	19.6794i	−0.858202	−	1.15165i
$293$		−	3.02341i		−	0.176630i	−0.996093	−	0.0883148i	$-0.971852\pi$
$293$		−	3.02341i		−	0.176630i	0.996093	−	0.0883148i	$-0.0281481\pi$
$294$	9.83293	−	1.14605i	0.573468	−	0.0668388i
$295$			23.9943i			1.39700i
$296$	16.9443	−	15.3548i	0.984870	−	0.892482i
$297$	3.12623	+	0.713542i	0.181402	+	0.0414039i
$298$	10.3457	−	15.8811i	0.599308	−	0.919969i
$299$	0.933090	−	4.08814i	0.0539620	−	0.236423i
$300$	−0.116655	−	0.264041i	−0.00673506	−	0.0152444i
$301$	−14.7989	−	11.5589i	−0.852996	−	0.666246i
$302$	24.6452	+	3.18672i	1.41817	+	0.183375i
$303$	−7.07168	+	14.6845i	−0.406258	+	0.843603i
$304$	−5.82307	−	8.37363i	−0.333976	−	0.480260i
$305$	−12.8124	+	6.17013i	−0.733637	+	0.353301i
$306$	2.07193	−	2.00510i	0.118444	−	0.114624i
$307$	19.6695	−	9.47234i	1.12260	−	0.540615i	0.221905	−	0.975068i	$-0.428773\pi$
$307$	19.6695	−	9.47234i	1.12260	−	0.540615i	0.900694	+	0.434453i	$0.143058\pi$
$308$	10.2758	+	13.5024i	0.585521	+	0.769373i
$309$	−5.33464	−	2.56903i	−0.303477	−	0.146147i
$310$	−13.5501	+	4.49351i	−0.769596	+	0.255214i
$311$	7.80404	+	9.78596i	0.442527	+	0.554911i	0.952207	−	0.305453i	$-0.0988079\pi$
$311$	7.80404	+	9.78596i	0.442527	+	0.554911i	−0.509681	+	0.860364i	$0.670236\pi$
$312$	2.07263	+	7.01129i	0.117340	+	0.396936i
$313$			5.07896i			0.287080i	0.989645	+	0.143540i	$0.0458485\pi$
$313$			5.07896i			0.287080i	−0.989645	+	0.143540i	$0.954151\pi$
$314$	−19.7227	+	19.0866i	−1.11302	+	1.07712i
$315$	−0.0589387	−	5.82977i	−0.00332082	−	0.328470i
$316$	−0.644390	−	0.336772i	−0.0362498	−	0.0189449i
$317$	−7.44737	+	9.33870i	−0.418286	+	0.524514i	−0.945677	−	0.325109i	$-0.894599\pi$
$317$	−7.44737	+	9.33870i	−0.418286	+	0.524514i	0.527391	+	0.849623i	$0.323170\pi$
$318$	−7.64861	−	2.81790i	−0.428913	−	0.158020i
$319$	−10.9813	+	22.8029i	−0.614836	+	1.27672i
$320$	−17.5433	−	1.73085i	−0.980700	−	0.0967576i
$321$	6.20282	+	4.94659i	0.346208	+	0.276092i
$322$	−3.19696	−	5.15960i	−0.178160	−	0.287533i
$323$	4.06439	−	3.24124i	0.226149	−	0.180348i
$324$	1.96339	−	0.380896i	0.109077	−	0.0211609i
$325$			0.373083i			0.0206949i
$326$	10.2617	−	9.93067i	0.568341	−	0.550009i
$327$	2.50555	+	10.9775i	0.138557	+	0.607060i
$328$	0.740907	−	4.55139i	0.0409097	−	0.251308i
$329$	−20.7157	−	9.71940i	−1.14209	−	0.535848i
$330$	8.54716	−	5.17711i	0.470506	−	0.284990i
$331$	26.1697	−	20.8697i	1.43842	−	1.14710i	0.474711	−	0.880142i	$-0.342553\pi$
$331$	26.1697	−	20.8697i	1.43842	−	1.14710i	0.963708	−	0.266959i	$-0.0860187\pi$
$332$	−5.29305	+	3.94434i	−0.290494	+	0.216474i
$333$	1.79899	+	7.88187i	0.0985838	+	0.431924i
$334$	31.1887	+	11.4905i	1.70657	+	0.628734i
$335$	−1.01120	+	4.43038i	−0.0552480	+	0.242057i
$336$	9.26580	+	5.11320i	0.505491	+	0.278948i
$337$	−3.31114	−	14.5071i	−0.180369	−	0.790250i	−0.981454	−	0.191699i	$-0.938600\pi$
$337$	−3.31114	−	14.5071i	−0.180369	−	0.790250i	0.801084	−	0.598551i	$-0.204257\pi$
$338$	−1.14584	+	8.86158i	−0.0623253	+	0.482007i
$339$	4.76966	−	5.98096i	0.259052	−	0.324841i
$340$	0.294492	−	8.98034i	0.0159711	−	0.487027i
$341$	6.37356	+	13.2348i	0.345147	+	0.716706i
$342$	3.58946	−	0.344959i	0.194096	−	0.0186533i
$343$	−16.4348	+	8.53794i	−0.887397	+	0.461005i
$344$	−5.69088	−	19.2511i	−0.306832	−	1.03795i
$345$	−3.22064	+	1.55098i	−0.173393	+	0.0835018i
$346$	−26.1208	−	3.37752i	−1.40426	−	0.181577i
$347$	21.9429	+	17.4989i	1.17796	+	0.939389i	0.999011	−	0.0444704i	$-0.0141600\pi$
$347$	21.9429	+	17.4989i	1.17796	+	0.939389i	0.178945	+	0.983859i	$0.442731\pi$
$348$	−0.517380	+	15.7772i	−0.0277345	+	0.845745i
$349$	−16.5964	+	3.78802i	−0.888385	+	0.202768i	−0.642276	−	0.766474i	$-0.722010\pi$
$349$	−16.5964	+	3.78802i	−0.888385	+	0.202768i	−0.246110	+	0.969242i	$0.579152\pi$
$350$	0.379458	+	0.384255i	0.0202829	+	0.0205393i
$351$	−2.52010	−	0.575196i	−0.134513	−	0.0307017i
$352$	0.548576	+	18.1311i	0.0292392	+	0.966392i
$353$	7.86681	−	1.79555i	0.418708	−	0.0955674i	−0.00797576	−	0.999968i	$-0.502539\pi$
$353$	7.86681	−	1.79555i	0.418708	−	0.0955674i	0.426684	+	0.904401i	$0.359682\pi$
$354$	13.1714	−	7.97808i	0.700054	−	0.424030i
$355$	−0.142078	−	0.178160i	−0.00754072	−	0.00945576i
$356$	8.96815	+	12.0347i	0.475311	+	0.637836i
$357$	−2.29117	+	4.88335i	−0.121262	+	0.258454i
$358$	−12.5019	+	33.9337i	−0.660744	+	1.79345i
$359$	−26.5145	+	6.05175i	−1.39938	+	0.319399i	−0.854647	−	0.519210i	$-0.826226\pi$
$359$	−26.5145	+	6.05175i	−1.39938	+	0.319399i	−0.544733	+	0.838609i	$0.683369\pi$
$360$	3.57133	−	5.10793i	0.188225	−	0.269212i
$361$	−12.4984			−0.657810
$362$	0.740731	+	7.70765i	0.0389320	+	0.405105i
$363$	0.447378	+	0.560995i	0.0234813	+	0.0294446i
$364$	−8.28350	−	10.8845i	−0.434174	−	0.570503i
$365$	16.8595	−	21.1412i	0.882468	−	1.10658i
$366$	7.64714	+	4.98168i	0.399722	+	0.260396i
$367$	−14.1314	−	6.80533i	−0.737654	−	0.355235i	0.0270356	−	0.999634i	$-0.491393\pi$
$367$	−14.1314	−	6.80533i	−0.737654	−	0.355235i	−0.764689	+	0.644399i	$0.777108\pi$
$368$	0.425119	−	6.47491i	0.0221609	−	0.337528i
$369$	1.27465	+	1.01650i	0.0663557	+	0.0529169i
$370$	21.1098	+	13.7518i	1.09744	+	0.714923i
$371$	15.2487	−	0.154164i	0.791673	−	0.00800378i
$372$	6.97206	+	5.94411i	0.361484	+	0.308188i
$373$	−13.8045			−0.714768			−0.357384	−	0.933957i	$-0.616331\pi$
$373$	−13.8045			−0.714768			−0.357384	+	0.933957i	$0.616331\pi$
$374$	−9.20320	+	0.884459i	−0.475886	+	0.0457343i
$375$	8.86271	−	7.06778i	0.457668	−	0.364978i
$376$	−11.9810	−	21.3276i	−0.617871	−	1.09988i
$377$	8.85220	−	18.3818i	0.455911	−	0.946709i
$378$	−3.18059	+	1.97074i	−0.163592	+	0.101364i
$379$	16.0780	+	33.3863i	0.825872	+	1.71494i	0.689503	+	0.724283i	$0.257829\pi$
$379$	16.0780	+	33.3863i	0.825872	+	1.71494i	0.136369	+	0.990658i	$0.456457\pi$
$380$	7.29058	−	8.55138i	0.373999	−	0.438677i
$381$	5.67401	+	11.7822i	0.290688	+	0.603620i
$382$	20.2633	−	6.71975i	1.03676	−	0.343812i
$383$	−4.24407	−	2.04383i	−0.216862	−	0.104435i	0.322299	−	0.946638i	$-0.395544\pi$
$383$	−4.24407	−	2.04383i	−0.216862	−	0.104435i	−0.539161	+	0.842203i	$0.681259\pi$
$384$	4.88298	+	10.2057i	0.249184	+	0.520808i
$385$	−11.5077	+	14.7333i	−0.586486	+	0.750879i
$386$	6.55071	+	19.7536i	0.333423	+	1.00543i
$387$	6.91951	+	1.57933i	0.351738	+	0.0802820i
$388$	4.64658	+	2.42840i	0.235895	+	0.123283i
$389$	−3.29800	+	14.4495i	−0.167215	+	0.732618i	0.819887	+	0.572526i	$0.194036\pi$
$389$	−3.29800	+	14.4495i	−0.167215	+	0.732618i	−0.987102	+	0.160092i	$0.948821\pi$
$390$	−6.88999	+	4.17334i	−0.348888	+	0.211325i
$391$	3.30734			0.167260
$392$	−19.6021	−	2.78540i	−0.990055	−	0.140684i
$393$	19.5083			0.984063
$394$	27.4034	−	16.5985i	1.38056	−	0.836222i
$395$	0.178259	−	0.781003i	0.00896918	−	0.0392965i
$396$	−5.68384	−	2.97049i	−0.285624	−	0.149273i
$397$	28.4558	+	6.49485i	1.42815	+	0.325967i	0.865576	−	0.500777i	$-0.166952\pi$
$397$	28.4558	+	6.49485i	1.42815	+	0.325967i	0.562578	+	0.826744i	$0.309810\pi$
$398$	5.18156	+	15.6250i	0.259728	+	0.783208i
$399$	−6.04822	+	2.98837i	−0.302790	+	0.149605i
$400$	0.0913155	+	0.570057i	0.00456578	+	0.0285029i
$401$	−19.3244	−	9.30616i	−0.965017	−	0.464728i	−0.116090	−	0.993239i	$-0.537036\pi$
$401$	−19.3244	−	9.30616i	−0.965017	−	0.464728i	−0.848926	+	0.528511i	$0.822750\pi$
$402$	2.76823	−	0.918004i	0.138067	−	0.0457859i
$403$	−5.13781	−	10.6688i	−0.255933	−	0.531450i
$404$	21.1484	−	24.8057i	1.05217	−	1.23413i
$405$	0.956088	+	1.98534i	0.0475084	+	0.0986522i
$406$	−9.57861	−	27.9357i	−0.475378	−	1.38643i
$407$	11.2481	−	23.3569i	0.557547	−	1.15776i
$408$	−5.02758	+	2.82429i	−0.248902	+	0.139823i
$409$	−18.7725	+	14.9706i	−0.928241	+	0.740247i	−0.965865	−	0.259045i	$-0.916592\pi$
$409$	−18.7725	+	14.9706i	−0.928241	+	0.740247i	0.0376245	+	0.999292i	$0.488021\pi$
$410$	5.05733	−	0.486027i	0.249764	−	0.0240032i
$411$	1.26502			0.0623990
$412$	9.01149	+	7.68286i	0.443964	+	0.378507i
$413$	−17.7337	+	22.7045i	−0.872619	+	1.11721i
$414$	1.92225	+	1.25224i	0.0944735	+	0.0615441i
$415$	−5.68621	−	4.53460i	−0.279125	−	0.222595i
$416$	−0.442215	−	14.6158i	−0.0216814	−	0.716597i
$417$	−8.93878	−	4.30469i	−0.437734	−	0.210802i
$418$	−9.68861	−	6.31158i	−0.473885	−	0.308709i
$419$	8.05131	−	10.0960i	0.393332	−	0.493223i	−0.545253	−	0.838272i	$-0.683566\pi$
$419$	8.05131	−	10.0960i	0.393332	−	0.493223i	0.938585	+	0.345049i	$0.112138\pi$
$420$	−2.85166	+	11.3060i	−0.139147	+	0.551679i
$421$	−21.1749	−	26.5525i	−1.03200	−	1.29409i	−0.954855	−	0.297072i	$-0.903990\pi$
$421$	−21.1749	−	26.5525i	−1.03200	−	1.29409i	−0.0771485	−	0.997020i	$-0.524582\pi$
$422$	3.40984	+	35.4810i	0.165989	+	1.72719i
$423$	8.64876			0.420517
$424$	13.3606	+	9.34137i	0.648849	+	0.453657i
$425$	−0.286883	+	0.0654791i	−0.0139159	+	0.00317620i
$426$	−0.0505584	+	0.137230i	−0.00244956	+	0.00664883i
$427$	−16.6839	−	3.63093i	−0.807389	−	0.175713i
$428$	−9.48126	−	12.7232i	−0.458294	−	0.615001i
$429$	5.16801	+	6.48047i	0.249514	+	0.312880i
$430$	18.9180	−	11.4589i	0.912309	−	0.552595i
$431$	9.23025	−	2.10675i	0.444606	−	0.101478i	0.00564389	−	0.999984i	$-0.498203\pi$
$431$	9.23025	−	2.10675i	0.444606	−	0.101478i	0.438962	+	0.898506i	$0.355346\pi$
$432$	−3.99141	−	0.262062i	−0.192037	−	0.0126084i
$433$	23.0647	+	5.26437i	1.10842	+	0.252989i	0.737279	−	0.675588i	$-0.236110\pi$
$433$	23.0647	+	5.26437i	1.10842	+	0.252989i	0.371139	+	0.928577i	$0.378967\pi$
$434$	−16.1428	−	5.76266i	−0.774878	−	0.276617i
$435$	−16.9562	+	3.87015i	−0.812990	+	0.185560i
$436$	0.738090	−	22.5076i	0.0353481	−	1.07792i
$437$	3.23394	+	2.57898i	0.154700	+	0.123369i
$438$	−17.2110	−	2.22545i	−0.822373	−	0.106336i
$439$	−14.7104	+	7.08414i	−0.702087	+	0.338107i	−0.750638	−	0.660713i	$-0.770254\pi$
$439$	−14.7104	+	7.08414i	−0.702087	+	0.338107i	0.0485511	+	0.998821i	$0.484540\pi$
$440$	−19.1658	+	5.66565i	−0.913692	+	0.270099i
$441$	4.25289	−	5.55994i	0.202518	−	0.264759i
$442$	7.41883	−	0.712975i	0.352878	−	0.0339128i
$443$	−7.59971	−	15.7810i	−0.361073	−	0.749776i	0.638734	−	0.769428i	$-0.279458\pi$
$443$	−7.59971	−	15.7810i	−0.361073	−	0.749776i	−0.999807	+	0.0196519i	$0.993744\pi$
$444$	0.529948	−	16.1604i	0.0251502	−	0.766941i
$445$	−10.3102	+	12.9286i	−0.488750	+	0.612873i
$446$	4.13802	−	32.0023i	0.195941	−	1.51535i
$447$	−2.98229	−	13.0663i	−0.141057	−	0.618013i
$448$	−15.3210	−	14.6037i	−0.723849	−	0.689959i
$449$	5.97583	−	26.1818i	0.282017	−	1.23560i	−0.613186	−	0.789939i	$-0.710112\pi$
$449$	5.97583	−	26.1818i	0.282017	−	1.23560i	0.895203	−	0.445659i	$-0.147030\pi$
$450$	−0.191530	−	0.0705636i	−0.00902882	−	0.00332640i
$451$	−1.16332	−	5.09682i	−0.0547784	−	0.240000i
$452$	−12.2682	+	9.14214i	−0.577045	+	0.430010i
$453$	13.7382	−	10.9559i	0.645479	−	0.514753i
$454$	1.41171	−	0.855091i	0.0662550	−	0.0401314i
$455$	9.27651	−	11.8767i	0.434890	−	0.556790i
$456$	−7.11830	−	1.15877i	−0.333345	−	0.0542642i
$457$	−0.694941	−	3.04473i	−0.0325080	−	0.142427i	0.956070	−	0.293140i	$-0.0947002\pi$
$457$	−0.694941	−	3.04473i	−0.0325080	−	0.142427i	−0.988578	+	0.150713i	$0.951843\pi$
$458$	−28.2240	+	27.3137i	−1.31882	+	1.27628i
$459$		−	2.03879i		−	0.0951624i
$460$	7.01843	−	1.36156i	0.327236	−	0.0634833i
$461$	3.81082	−	3.03903i	0.177488	−	0.141542i	−0.530717	−	0.847549i	$-0.678077\pi$
$461$	3.81082	−	3.03903i	0.177488	−	0.141542i	0.708204	+	0.706008i	$0.249506\pi$
$462$	11.9140	+	1.41822i	0.554289	+	0.0659816i
$463$	1.77038	+	1.41183i	0.0822766	+	0.0656134i	0.663764	−	0.747942i	$-0.268958\pi$
$463$	1.77038	+	1.41183i	0.0822766	+	0.0656134i	−0.581488	+	0.813555i	$0.697529\pi$
$464$	9.02673	−	30.2534i	0.419055	−	1.40448i
$465$	−4.37984	+	9.09482i	−0.203110	+	0.421762i
$466$	18.5942	+	6.85048i	0.861360	+	0.317342i
$467$	17.2153	−	21.5873i	0.796628	−	0.998940i	−0.203176	−	0.979142i	$-0.565126\pi$
$467$	17.2153	−	21.5873i	0.796628	−	0.998940i	0.999804	−	0.0197981i	$-0.00630235\pi$
$468$	4.58182	+	2.39456i	0.211795	+	0.110688i
$469$	−4.23124	+	3.44486i	−0.195381	+	0.159069i
$470$	19.3678	−	18.7431i	0.893372	−	0.864556i
$471$			19.4072i			0.894239i
$472$	−29.5350	+	8.73094i	−1.35946	+	0.401874i
$473$	−14.1899	−	17.7936i	−0.652454	−	0.818152i
$474$	−0.487994	+	0.161829i	−0.0224143	+	0.00743306i
$475$	−0.331574	−	0.159678i	−0.0152137	−	0.00732651i
$476$	6.91584	−	8.27994i	0.316987	−	0.379510i
$477$	−5.19297	+	2.50080i	−0.237770	+	0.114504i
$478$	24.5057	−	23.7153i	1.12087	−	1.08471i
$479$	−27.4238	+	13.2066i	−1.25303	+	0.603425i	−0.938321	−	0.345765i	$-0.887619\pi$
$479$	−27.4238	+	13.2066i	−1.25303	+	0.603425i	−0.314704	+	0.949190i	$0.601905\pi$
$480$	−9.50619	+	8.06311i	−0.433896	+	0.368029i
$481$	−9.06724	+	18.8283i	−0.413431	+	0.858498i
$482$	−19.8461	−	2.56617i	−0.903964	−	0.116886i
$483$	−4.19380	−	0.912703i	−0.190825	−	0.0415294i
$484$	−0.579945	−	1.31267i	−0.0263611	−	0.0596670i
$485$	−1.28539	+	5.63168i	−0.0583667	+	0.255721i
$486$	0.771932	−	1.18496i	0.0350155	−	0.0537507i
$487$	−33.0546	−	7.54450i	−1.49785	−	0.341874i	−0.606460	−	0.795114i	$-0.707411\pi$
$487$	−33.0546	−	7.54450i	−1.49785	−	0.341874i	−0.891389	+	0.453240i	$0.850268\pi$
$488$	−12.2570	−	13.5258i	−0.554850	−	0.612286i
$489$		−	10.0975i		−	0.456626i
$490$	−2.52538	−	21.6674i	−0.114085	−	0.978835i
$491$		−	9.28098i		−	0.418845i	−0.977825	−	0.209422i	$-0.932842\pi$
$491$		−	9.28098i		−	0.418845i	0.977825	−	0.209422i	$-0.0671584\pi$
$492$	−1.94836	−	2.61457i	−0.0878386	−	0.117874i
$493$	15.6883	+	3.58076i	0.706567	+	0.161269i
$494$	7.81012	+	5.08785i	0.351394	+	0.228913i
$495$	1.57233	−	6.88883i	0.0706710	−	0.309630i
$496$	−10.4617	−	15.0440i	−0.469743	−	0.675495i
$497$	−0.00276598	−	0.273590i	−0.000124071	−	0.0122722i
$498$	−0.598564	+	4.62913i	−0.0268223	+	0.207436i
$499$	5.26617	−	10.9353i	0.235746	−	0.489532i	−0.749211	−	0.662332i	$-0.769567\pi$
$499$	5.26617	−	10.9353i	0.235746	−	0.489532i	0.984957	+	0.172799i	$0.0552812\pi$
$500$	−20.7379	+	9.16210i	−0.927427	+	0.409742i
$501$	21.1753	−	10.1975i	0.946043	−	0.455590i
$502$	−6.69104	−	6.91406i	−0.298636	−	0.308589i
$503$	9.31172	−	4.48429i	0.415189	−	0.199944i	−0.214615	−	0.976699i	$-0.568850\pi$
$503$	9.31172	−	4.48429i	0.415189	−	0.199944i	0.629804	+	0.776754i	$0.283135\pi$
$504$	7.15451	−	2.19386i	0.318687	−	0.0977221i
$505$	32.3582	+	15.5829i	1.43992	+	0.693429i
$506$	−2.31557	−	6.98257i	−0.102939	−	0.310413i
$507$	3.93937	+	4.93981i	0.174953	+	0.219385i
$508$	−4.98107	−	25.6758i	−0.220999	−	1.13918i
$509$		−	9.54171i		−	0.422929i	−0.977386	−	0.211464i	$-0.932177\pi$
$509$		−	9.54171i		−	0.422929i	0.977386	−	0.211464i	$-0.0678232\pi$
$510$	−4.41835	−	4.56561i	−0.195648	−	0.202169i
$511$	31.5782	−	7.54418i	1.39694	−	0.333735i
$512$	−4.25303	−	22.2241i	−0.187959	−	0.982177i
$513$	1.58979	−	1.99353i	0.0701910	−	0.0880167i
$514$	−5.32010	+	14.4403i	−0.234660	+	0.636935i
$515$	−5.66100	+	11.7552i	−0.249454	+	0.517996i
$516$	−12.5804	−	6.57480i	−0.553823	−	0.289439i
$517$	−21.6828	−	17.2915i	−0.953608	−	0.760477i
$518$	9.81131	+	28.6144i	0.431084	+	1.25724i
$519$	−14.5608	+	11.6119i	−0.639148	+	0.509704i
$520$	15.4498	−	4.56716i	0.677518	−	0.200283i
$521$			34.6145i			1.51649i	0.651970	+	0.758245i	$0.273943\pi$
$521$			34.6145i			1.51649i	−0.651970	+	0.758245i	$0.726057\pi$
$522$	7.76240	+	8.02113i	0.339751	+	0.351075i
$523$	6.86359	+	30.0714i	0.300124	+	1.31493i	0.869940	+	0.493157i	$0.164157\pi$
$523$	6.86359	+	30.0714i	0.300124	+	1.31493i	−0.569816	+	0.821772i	$0.692986\pi$
$524$	−37.7334	−	9.92406i	−1.64839	−	0.433535i
$525$	0.381845	−	0.00386044i	0.0166651	−	0.000168483i
$526$	−5.25002	−	8.66754i	−0.228912	−	0.377923i
$527$	7.30205	−	5.82319i	0.318082	−	0.253662i
$528$	9.48269	+	8.63702i	0.412681	+	0.375878i
$529$	−4.53240	−	19.8577i	−0.197061	−	0.863380i
$530$	−6.20942	+	16.8542i	−0.269720	+	0.732098i
$531$	2.42301	−	10.6159i	0.105150	−	0.460691i
$532$	13.2188	−	2.70337i	0.573108	−	0.117206i
$533$	0.937766	+	4.10862i	0.0406191	+	0.177964i
$534$	10.5251	+	1.36094i	0.455467	+	0.0588936i
$535$	10.9001	−	13.6683i	0.471252	−	0.590931i
$536$	−5.82137	+	0.367396i	−0.251445	+	0.0158691i
$537$	11.0950	+	23.0390i	0.478785	+	0.994208i
$538$	−0.502826	−	5.23214i	−0.0216784	−	0.225573i
$539$	−21.7782	+	5.43621i	−0.938052	+	0.234154i
$540$	−0.839326	−	4.32645i	−0.0361188	−	0.186181i
$541$	24.5831	−	11.8386i	1.05691	−	0.508982i	0.177045	−	0.984203i	$-0.443346\pi$
$541$	24.5831	−	11.8386i	1.05691	−	0.508982i	0.879867	+	0.475221i	$0.157632\pi$
$542$	−1.39814	+	10.8128i	−0.0600552	+	0.464451i
$543$	4.28071	+	3.41376i	0.183703	+	0.146498i
$544$	11.1612	−	2.90523i	0.478533	−	0.124561i
$545$	24.1897	−	5.52113i	1.03617	−	0.236499i
$546$	−9.60403	−	1.14325i	−0.411015	−	0.0489265i
$547$	41.9056	+	9.56467i	1.79175	+	0.408956i	0.983651	−	0.180086i	$-0.0576377\pi$
$547$	41.9056	+	9.56467i	1.79175	+	0.408956i	0.808102	+	0.589042i	$0.200495\pi$
$548$	−2.44684	−	0.643530i	−0.104524	−	0.0274902i
$549$	6.29172	−	1.43604i	0.268524	−	0.0612888i
$550$	0.339096	+	0.559832i	0.0144591	+	0.0238713i
$551$	12.5479	+	15.7346i	0.534560	+	0.670317i
$552$	−3.08103	−	3.39997i	−0.131137	−	0.144712i
$553$	0.745899	−	0.607272i	0.0317189	−	0.0258238i
$554$	9.22367	+	3.39819i	0.391876	+	0.144375i
$555$	17.3682	−	3.96417i	0.737237	−	0.168270i
$556$	15.0997	+	12.8735i	0.640372	+	0.545957i
$557$	9.44242			0.400088			0.200044	−	0.979787i	$-0.435891\pi$
$557$	9.44242			0.400088			0.200044	+	0.979787i	$0.435891\pi$
$558$	6.44880	−	0.619751i	0.272999	−	0.0262362i
$559$	11.4387	+	14.3437i	0.483806	+	0.606673i
$560$	11.2672	−	20.4177i	0.476128	−	0.862807i
$561$	−4.07615	+	5.11132i	−0.172095	+	0.215800i
$562$	−14.9282	+	22.9156i	−0.629709	+	0.966636i
$563$	−6.69933	−	3.22623i	−0.282343	−	0.135969i	0.287353	−	0.957825i	$-0.407225\pi$
$563$	−6.69933	−	3.22623i	−0.282343	−	0.135969i	−0.569696	+	0.821856i	$0.692939\pi$
$564$	−16.7286	−	4.39971i	−0.704402	−	0.185261i
$565$	−13.1794	−	10.5102i	−0.554462	−	0.442168i
$566$	−0.631075	+	0.968733i	−0.0265260	+	0.0407189i
$567$	−0.562629	+	2.58524i	−0.0236282	+	0.108570i
$568$	0.167602	−	0.239714i	0.00703241	−	0.0100582i
$569$	23.6500			0.991458			0.495729	−	0.868477i	$-0.334901\pi$
$569$	23.6500			0.991458			0.495729	+	0.868477i	$0.334901\pi$
$570$	−0.760138	−	7.90958i	−0.0318387	−	0.331296i
$571$	13.8318	−	11.0305i	0.578842	−	0.461611i	−0.289775	−	0.957095i	$-0.593581\pi$
$571$	13.8318	−	11.0305i	0.578842	−	0.461611i	0.868617	+	0.495484i	$0.165009\pi$
$572$	−6.69939	−	15.1637i	−0.280115	−	0.634026i
$573$	6.54976	−	13.6007i	0.273620	−	0.568178i
$574$	5.14468	+	3.27787i	0.214735	+	0.136816i
$575$	−0.101588	−	0.210949i	−0.00423650	−	0.00879719i
$576$	7.58695	+	2.53735i	0.316123	+	0.105723i
$577$	7.25953	+	15.0746i	0.302218	+	0.627563i	0.995672	−	0.0929387i	$-0.0296261\pi$
$577$	7.25953	+	15.0746i	0.302218	+	0.627563i	−0.693454	+	0.720501i	$0.743912\pi$
$578$	−5.71714	−	17.2400i	−0.237802	−	0.717089i
$579$	13.2586	+	6.38500i	0.551008	+	0.265352i
$580$	34.7659	+	1.14008i	1.44358	+	0.0473391i
$581$	−2.02911	−	8.49339i	−0.0841817	−	0.352365i
$582$	3.51884	−	1.16692i	0.145861	−	0.0483704i
$583$	18.0188	+	4.11268i	0.746264	+	0.170330i
$584$	32.1578	+	13.0599i	1.33070	+	0.540423i
$585$	−1.26748	+	5.55318i	−0.0524038	+	0.229596i
$586$	2.21519	+	3.65718i	0.0915088	+	0.151077i
$587$	−19.1229			−0.789286			−0.394643	−	0.918835i	$-0.629132\pi$
$587$	−19.1229			−0.789286			−0.394643	+	0.918835i	$0.629132\pi$
$588$	−11.0544	+	8.59067i	−0.455877	+	0.354273i
$589$	11.6807			0.481297
$590$	−17.5802	−	29.0240i	−0.723764	−	1.19490i
$591$	5.04111	−	22.0866i	0.207364	−	0.908520i
$592$	−9.24602	+	30.9883i	−0.380009	+	1.27361i
$593$	−17.8305	−	4.06970i	−0.732212	−	0.167123i	−0.159871	−	0.987138i	$-0.551108\pi$
$593$	−17.8305	−	4.06970i	−0.732212	−	0.167123i	−0.572342	+	0.820015i	$0.693965\pi$
$594$	−4.30435	+	1.42741i	−0.176610	+	0.0585674i
$595$	10.7607	+	5.04873i	0.441147	+	0.206978i
$596$	−0.878528	+	26.7902i	−0.0359859	+	1.09737i
$597$	10.4874	+	5.05049i	0.429223	+	0.206703i
$598$	1.86661	+	5.62875i	0.0763314	+	0.230177i
$599$	9.80601	+	20.3624i	0.400663	+	0.831985i	0.999515	+	0.0311257i	$0.00990922\pi$
$599$	9.80601	+	20.3624i	0.400663	+	0.831985i	−0.598853	+	0.800859i	$0.704376\pi$
$600$	0.334565	+	0.233919i	0.0136586	+	0.00954970i
$601$	−7.43572	−	15.4404i	−0.303309	−	0.629829i	0.692486	−	0.721431i	$-0.256515\pi$
$601$	−7.43572	−	15.4404i	−0.303309	−	0.629829i	−0.995796	+	0.0916025i	$0.970801\pi$
$602$	26.3701	+	3.13905i	1.07476	+	0.127938i
$603$	0.894782	−	1.85803i	0.0364383	−	0.0756650i
$604$	−32.1462	+	14.2023i	−1.30801	+	0.577885i
$605$	1.23618	−	0.985824i	0.0502580	−	0.0400794i
$606$	−2.20499	−	22.9439i	−0.0895716	−	0.932034i
$607$	−45.0724			−1.82943			−0.914717	−	0.404096i	$-0.867586\pi$
$607$	−45.0724			−1.82943			−0.914717	+	0.404096i	$0.867586\pi$
$608$	13.1789	+	5.86246i	0.534475	+	0.237754i
$609$	−18.9051	−	8.86989i	−0.766072	−	0.359426i
$610$	10.9774	−	16.8509i	0.444463	−	0.682274i
$611$	17.4788	+	13.9389i	0.707117	+	0.563907i
$612$	−1.03715	+	3.94347i	−0.0419243	+	0.159405i
$613$	−36.7931	−	17.7186i	−1.48606	−	0.715649i	−0.497639	−	0.867384i	$-0.665800\pi$
$613$	−36.7931	−	17.7186i	−1.48606	−	0.715649i	−0.988421	+	0.151735i	$0.951514\pi$
$614$	−16.8524	+	25.8694i	−0.680109	+	1.04400i
$615$	2.23992	−	2.80877i	0.0903223	−	0.113261i
$616$	−22.3228	−	8.80392i	−0.899413	−	0.354720i
$617$	15.3144	+	19.2036i	0.616533	+	0.773108i	0.987852	−	0.155397i	$-0.0496658\pi$
$617$	15.3144	+	19.2036i	0.616533	+	0.773108i	−0.371319	+	0.928505i	$0.621094\pi$
$618$	8.33517	−	0.801038i	0.335290	−	0.0322225i
$619$	−18.3946			−0.739343			−0.369672	−	0.929163i	$-0.620530\pi$
$619$	−18.3946			−0.739343			−0.369672	+	0.929163i	$0.620530\pi$
$620$	13.0982	−	15.3633i	0.526036	−	0.617007i
$621$	1.58154	−	0.360976i	0.0634650	−	0.0144855i
$622$	−16.6099	−	6.11942i	−0.665996	−	0.245367i
$623$	−19.3112	+	4.61353i	−0.773686	+	0.184837i
$624$	−7.64413	−	6.96242i	−0.306010	−	0.278720i
$625$	−15.1243	−	18.9653i	−0.604972	−	0.758611i
$626$	−3.72125	−	6.14361i	−0.148731	−	0.245548i
$627$	−7.97134	+	1.81941i	−0.318345	+	0.0726601i
$628$	9.87266	−	37.5379i	0.393962	−	1.49793i
$629$	−16.0695	−	3.66775i	−0.640731	−	0.146243i
$630$	4.34265	+	7.00862i	0.173015	+	0.279230i
$631$	−25.7096	+	5.86805i	−1.02348	+	0.233604i	−0.701143	−	0.713020i	$-0.747327\pi$
$631$	−25.7096	+	5.86805i	−1.02348	+	0.233604i	−0.322340	+	0.946624i	$0.604470\pi$
$632$	1.02621	−	0.0647659i	0.0408206	−	0.00257625i
$633$	19.7056	+	15.7147i	0.783228	+	0.624604i
$634$	2.16620	−	16.7528i	0.0860309	−	0.665339i
$635$	25.9628	−	12.5030i	1.03030	−	0.496167i
$636$	11.3165	−	2.19539i	0.448730	−	0.0870529i
$637$	17.5557	−	4.38221i	0.695581	−	0.173629i
$638$	−3.42404	−	35.6287i	−0.135559	−	1.41055i
$639$	0.0448690	+	0.0931714i	0.00177499	+	0.00368581i
$640$	22.4889	−	10.7599i	0.888951	−	0.425324i
$641$	7.14389	−	8.95815i	0.282167	−	0.353826i	−0.620469	−	0.784231i	$-0.713058\pi$
$641$	7.14389	−	8.95815i	0.282167	−	0.353826i	0.902636	+	0.430405i	$0.141629\pi$
$642$	−11.1273	−	1.43881i	−0.439160	−	0.0567851i
$643$	7.30838	+	32.0201i	0.288214	+	1.26275i	0.886973	+	0.461821i	$0.152804\pi$
$643$	7.30838	+	32.0201i	0.288214	+	1.26275i	−0.598759	+	0.800929i	$0.704339\pi$
$644$	7.64744	+	3.89880i	0.301352	+	0.153634i
$645$	3.48015	−	15.2475i	0.137031	−	0.600371i
$646$	−2.54157	+	6.89857i	−0.0999969	+	0.271421i
$647$	10.3654	+	45.4139i	0.407507	+	1.78541i	0.595628	+	0.803260i	$0.296903\pi$
$647$	10.3654	+	45.4139i	0.407507	+	1.78541i	−0.188121	+	0.982146i	$0.560240\pi$
$648$	−2.09589	+	1.89928i	−0.0823342	+	0.0746107i
$649$	−27.2990	+	21.7702i	−1.07158	+	0.854555i
$650$	−0.273350	−	0.451288i	−0.0107217	−	0.0177010i
$651$	−10.8662	+	5.36887i	−0.425879	+	0.210423i
$652$	−5.13671	+	19.5308i	−0.201169	+	0.764887i
$653$	4.09957	+	17.9614i	0.160429	+	0.702884i	0.989595	+	0.143882i	$0.0459584\pi$
$653$	4.09957	+	17.9614i	0.160429	+	0.702884i	−0.829166	+	0.559002i	$0.811184\pi$
$654$	−11.0738	−	11.4429i	−0.433020	−	0.447452i
$655$		−	42.9877i		−	1.67967i
$656$	2.43850	+	6.04830i	0.0952073	+	0.236146i
$657$	−9.59411	+	7.65104i	−0.374302	+	0.298496i
$658$	32.1793	−	3.42120i	1.25448	−	0.133372i
$659$	−0.569857	−	0.454446i	−0.0221985	−	0.0177027i	0.612328	−	0.790604i	$-0.290233\pi$
$659$	−0.569857	−	0.454446i	−0.0221985	−	0.0177027i	−0.634526	+	0.772901i	$0.718805\pi$
$660$	−6.54565	+	12.5247i	−0.254789	+	0.487522i
$661$	2.06935	−	4.29706i	0.0804885	−	0.167136i	−0.856841	−	0.515581i	$-0.827576\pi$
$661$	2.06935	−	4.29706i	0.0804885	−	0.167136i	0.937329	+	0.348445i	$0.113290\pi$
$662$	−16.3646	+	44.4184i	−0.636030	+	1.72637i
$663$	3.28584	−	4.12031i	0.127611	−	0.160020i
$664$	3.51264	−	8.64927i	0.136317	−	0.335657i
$665$	6.58504	+	13.3276i	0.255357	+	0.516822i
$666$	−7.95098	−	8.21599i	−0.308094	−	0.318363i
$667$			12.8038i			0.495767i
$668$	−46.1453	+	8.95212i	−1.78542	+	0.346368i
$669$	−14.2264	−	17.8394i	−0.550026	−	0.689711i
$670$	−2.02288	−	6.09996i	−0.0781505	−	0.235662i
$671$	−18.6447	−	8.97881i	−0.719770	−	0.346623i
$672$	−14.9544	+	0.603836i	−0.576880	+	0.0232935i
$673$	−9.94978	+	4.79156i	−0.383536	+	0.184701i	−0.615710	−	0.787973i	$-0.711131\pi$
$673$	−9.94978	+	4.79156i	−0.383536	+	0.184701i	0.232174	+	0.972674i	$0.425416\pi$
$674$	14.6343	+	15.1220i	0.563691	+	0.582479i
$675$	−0.130038	+	0.0626230i	−0.00500516	+	0.00241036i
$676$	−5.10668	−	11.5587i	−0.196411	−	0.444565i
$677$	−9.18042	+	19.0633i	−0.352832	+	0.732663i	−0.999548	−	0.0300677i	$-0.990428\pi$
$677$	−9.18042	+	19.0633i	−0.352832	+	0.732663i	0.646716	+	0.762731i	$0.276142\pi$
$678$	−1.38734	+	10.7293i	−0.0532806	+	0.412057i
$679$	−5.37855	+	4.37893i	−0.206410	+	0.168048i
$680$	6.22349	+	11.0786i	0.238660	+	0.424844i
$681$	0.259698	−	1.13781i	0.00995165	−	0.0436010i
$682$	−17.4065	−	11.3393i	−0.666528	−	0.434205i
$683$	−0.492527	−	0.112416i	−0.0188460	−	0.00430148i	0.213088	−	0.977033i	$-0.431648\pi$
$683$	−0.492527	−	0.112416i	−0.0188460	−	0.00430148i	−0.231934	+	0.972732i	$0.574505\pi$
$684$	−4.08914	+	3.04720i	−0.156352	+	0.116512i
$685$		−	2.78755i		−	0.106507i
$686$	13.6243	−	22.3691i	0.520179	−	0.854057i
$687$			27.7726i			1.05959i
$688$	20.9887	+	19.1169i	0.800187	+	0.728826i
$689$	−14.5252	−	3.31529i	−0.553368	−	0.126303i
$690$	2.75938	−	4.23579i	0.105048	−	0.161254i
$691$	−3.84688	+	16.8543i	−0.146342	+	0.641168i	0.847541	+	0.530730i	$0.178082\pi$
$691$	−3.84688	+	16.8543i	−0.146342	+	0.641168i	−0.993883	+	0.110437i	$0.964775\pi$
$692$	34.0709	−	15.0527i	1.29518	−	0.572217i
$693$	6.57920	−	5.35644i	0.249923	−	0.203474i
$694$	−39.3636	−	5.08987i	−1.49422	−	0.193209i
$695$	−9.48564	+	19.6971i	−0.359811	+	0.747155i
$696$	−10.9338	−	19.4635i	−0.414444	−	0.737760i
$697$	−2.99475	+	1.44219i	−0.113434	+	0.0546270i
$698$	17.2999	−	16.7419i	0.654812	−	0.633691i
$699$	12.6244	−	6.07959i	0.477498	−	0.229951i
$700$	−0.740537	−	0.186781i	−0.0279897	−	0.00705967i
$701$	3.83714	+	1.84787i	0.144927	+	0.0697930i	0.504941	−	0.863154i	$-0.331514\pi$
$701$	3.83714	+	1.84787i	0.144927	+	0.0697930i	−0.360015	+	0.932947i	$0.617228\pi$
$702$	3.46980	−	1.15066i	0.130959	−	0.0434288i
$703$	−12.8528	−	16.1169i	−0.484751	−	0.607859i
$704$	−13.9479	−	21.5298i	−0.525681	−	0.811436i
$705$		−	19.0580i		−	0.717767i
$706$	−8.20029	+	7.93579i	−0.308622	+	0.298667i
$707$	19.1017	+	38.6604i	0.718394	+	1.45397i
$708$	−10.0871	+	19.3009i	−0.379095	+	0.725372i
$709$	−29.0010	+	36.3661i	−1.08915	+	1.36576i	−0.163870	+	0.986482i	$0.552398\pi$
$709$	−29.0010	+	36.3661i	−1.08915	+	1.36576i	−0.925284	+	0.379274i	$0.876174\pi$
$710$	0.302395	+	0.111408i	0.0113487	+	0.00418108i
$711$	−0.157735	+	0.327541i	−0.00591554	+	0.0122837i
$712$	−19.6656	−	7.98659i	−0.737000	−	0.299310i
$713$	5.81006	+	4.63337i	0.217589	+	0.173521i
$714$	−0.806485	−	7.58569i	−0.0301819	−	0.283887i
$715$	14.2801	−	11.3880i	0.534046	−	0.425887i
$716$	−9.74003	−	50.2067i	−0.364002	−	1.87631i
$717$		−	24.1138i		−	0.900545i
$718$	27.6384	−	26.7469i	1.03146	−	0.998187i
$719$	5.94251	+	26.0358i	0.221618	+	0.970973i	0.956260	+	0.292518i	$0.0944931\pi$
$719$	5.94251	+	26.0358i	0.221618	+	0.970973i	−0.734642	+	0.678455i	$0.762650\pi$
$720$	−0.577468	+	8.79530i	−0.0215210	+	0.327781i
$721$	−14.0447	+	6.93935i	−0.523052	+	0.258435i
$722$	15.1183	−	9.15732i	0.562645	−	0.340800i
$723$	−11.0630	+	8.82245i	−0.411438	+	0.328111i
$724$	−6.54324	−	8.78060i	−0.243178	−	0.326329i
$725$	−0.253492	−	1.11062i	−0.00941444	−	0.0412474i
$726$	−0.952187	−	0.350805i	−0.0353390	−	0.0130196i
$727$	−6.98601	+	30.6077i	−0.259097	+	1.13518i	0.663123	+	0.748511i	$0.269231\pi$
$727$	−6.98601	+	30.6077i	−0.259097	+	1.13518i	−0.922220	+	0.386667i	$0.873626\pi$
$728$	17.9948	+	7.09696i	0.666930	+	0.263031i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	−4.90390	+	37.9254i	−0.181501	+	1.40368i
$731$	−9.02202	+	11.3133i	−0.333691	+	0.418436i
$732$	−12.9001	−	0.423032i	−0.476802	−	0.0156357i
$733$	−17.8611	−	37.0890i	−0.659715	−	1.36991i	−0.915161	−	0.403089i	$-0.867936\pi$
$733$	−17.8611	−	37.0890i	−0.659715	−	1.36991i	0.255446	−	0.966823i	$-0.417778\pi$
$734$	22.0798	−	2.12194i	0.814979	−	0.0783222i
$735$	−12.2517	−	9.37149i	−0.451909	−	0.345672i
$736$	4.22980	+	8.14365i	0.155913	+	0.300179i
$737$	−5.95802	+	2.86923i	−0.219467	+	0.105689i
$738$	−2.28661	−	0.295668i	−0.0841714	−	0.0108837i
$739$	10.3354	+	8.24219i	0.380193	+	0.303194i	0.794876	−	0.606772i	$-0.207536\pi$
$739$	10.3354	+	8.24219i	0.380193	+	0.303194i	−0.414683	+	0.909966i	$0.636107\pi$
$740$	−35.6105	−	1.16777i	−1.30907	−	0.0429281i
$741$	6.42581	−	1.46665i	0.236058	−	0.0538787i
$742$	−18.3322	+	11.3589i	−0.672995	+	0.416998i
$743$	20.8168	+	4.75131i	0.763696	+	0.174309i	0.586591	−	0.809883i	$-0.300470\pi$
$743$	20.8168	+	4.75131i	0.763696	+	0.174309i	0.177105	+	0.984192i	$0.443327\pi$
$744$	−12.7887	−	2.08183i	−0.468856	−	0.0763236i
$745$	−28.7923	+	6.57165i	−1.05487	+	0.240767i
$746$	16.6982	−	10.1143i	0.611363	−	0.370309i
$747$	2.05785	+	2.58047i	0.0752929	+	0.0944143i
$748$	10.4844	−	7.81286i	0.383346	−	0.285666i
$749$	20.4161	−	4.87750i	0.745987	−	0.178220i
$750$	−5.54209	+	15.0429i	−0.202369	+	0.549287i
$751$	46.4547	−	10.6030i	1.69516	−	0.386908i	0.737619	−	0.675217i	$-0.235950\pi$
$751$	46.4547	−	10.6030i	1.69516	−	0.386908i	0.957537	+	0.288309i	$0.0930931\pi$
$752$	30.1187	+	17.0200i	1.09832	+	0.620656i
$753$	−6.80346			−0.247932
$754$	2.76016	+	28.7208i	0.100519	+	1.04595i
$755$	−24.1419	−	30.2730i	−0.878615	−	1.10175i
$756$	2.40338	−	4.71421i	0.0874102	−	0.171454i
$757$	−2.36416	+	2.96456i	−0.0859269	+	0.107749i	−0.822937	−	0.568133i	$-0.807666\pi$
$757$	−2.36416	+	2.96456i	−0.0859269	+	0.107749i	0.737010	+	0.675882i	$0.236237\pi$
$758$	−43.9098	−	28.6047i	−1.59488	−	1.03897i
$759$	−4.68669	−	2.25699i	−0.170116	−	0.0819235i
$760$	−2.55341	+	15.6856i	−0.0926219	+	0.568976i
$761$	8.88343	+	7.08430i	0.322024	+	0.256806i	0.771137	−	0.636670i	$-0.219688\pi$
$761$	8.88343	+	7.08430i	0.322024	+	0.256806i	−0.449113	+	0.893475i	$0.648260\pi$
$762$	−15.4960	−	10.0947i	−0.561360	−	0.365694i
$763$	26.9699	+	12.6537i	0.976375	+	0.458096i
$764$	−19.5875	+	22.9749i	−0.708651	+	0.831202i
$765$	−4.49258			−0.162430
$766$	6.63118	−	0.637279i	0.239594	−	0.0230258i
$767$	22.0061	−	17.5493i	0.794593	−	0.633667i
$768$	−13.3841	−	8.76736i	−0.482956	−	0.316365i
$769$	−6.14073	+	12.7514i	−0.221440	+	0.459826i	−0.981860	−	0.189606i	$-0.939279\pi$
$769$	−6.14073	+	12.7514i	−0.221440	+	0.459826i	0.760420	+	0.649432i	$0.224993\pi$
$770$	3.12513	−	26.2532i	0.112622	−	0.946098i
$771$	4.72142	+	9.80414i	0.170038	+	0.353087i
$772$	−22.3969	−	19.0948i	−0.806084	−	0.687237i
$773$	−7.39493	−	15.3557i	−0.265977	−	0.552307i	0.724615	−	0.689154i	$-0.242018\pi$
$773$	−7.39493	−	15.3557i	−0.265977	−	0.552307i	−0.990592	+	0.136847i	$0.956303\pi$
$774$	−9.52712	+	3.15939i	−0.342445	+	0.113562i
$775$	−0.595703	−	0.286876i	−0.0213983	−	0.0103049i
$776$	−7.39984	+	0.467016i	−0.265639	+	0.0167649i
$777$	19.3643	+	9.08537i	0.694692	+	0.325936i
$778$	−6.59752	−	19.8948i	−0.236533	−	0.713262i
$779$	−4.05286	−	0.925039i	−0.145209	−	0.0331429i
$780$	5.27654	−	10.0963i	0.188931	−	0.361506i
$781$	0.0737891	−	0.323291i	0.00264038	−	0.0115683i
$782$	−4.00063	+	2.42322i	−0.143062	+	0.0866543i
$783$	7.89283			0.282067
$784$	25.7519	−	10.9928i	0.919710	−	0.392599i
$785$	42.7650			1.52635
$786$	−23.5976	+	14.2933i	−0.841699	+	0.509826i
$787$	8.34167	−	36.5472i	0.297348	−	1.30277i	−0.576711	−	0.816949i	$-0.695664\pi$
$787$	8.34167	−	36.5472i	0.297348	−	1.30277i	0.874059	−	0.485820i	$-0.161479\pi$
$788$	−20.9863	+	40.1558i	−0.747605	+	1.43049i
$789$	−6.98585	−	1.59448i	−0.248703	−	0.0567648i
$790$	0.356600	+	1.07532i	0.0126873	+	0.0382583i
$791$	−4.70304	−	19.6858i	−0.167221	−	0.699948i
$792$	9.05170	−	0.571267i	0.321638	−	0.0202991i
$793$	15.0297	+	7.23794i	0.533722	+	0.257027i
$794$	−39.1793	+	12.9927i	−1.39042	+	0.461093i
$795$	5.51066	+	11.4430i	0.195443	+	0.405842i
$796$	−17.7158	−	15.1038i	−0.627920	−	0.535341i
$797$	−9.97687	−	20.7172i	−0.353399	−	0.733841i	0.646170	−	0.763193i	$-0.276370\pi$
$797$	−9.97687	−	20.7172i	−0.353399	−	0.733841i	−0.999569	+	0.0293529i	$0.990655\pi$
$798$	5.12653	−	8.04619i	0.181477	−	0.284832i
$799$	−7.65066	+	15.8868i	−0.270661	+	0.562033i
$800$	−0.528127	−	0.622648i	−0.0186721	−	0.0220139i
$801$	5.86713	−	4.67888i	0.207305	−	0.165320i
$802$	30.1937	−	2.90171i	1.06618	−	0.102463i
$803$	39.3496			1.38862
$804$	−2.67591	+	3.13866i	−0.0943719	+	0.110692i
$805$	−2.01119	+	9.24129i	−0.0708853	+	0.325713i
$806$	14.0316	+	9.14080i	0.494242	+	0.321971i
$807$	−2.90585	−	2.31734i	−0.102291	−	0.0815742i
$808$	−7.40687	+	45.5004i	−0.260573	+	1.60070i
$809$	−35.6262	−	17.1567i	−1.25255	−	0.603197i	−0.314357	−	0.949305i	$-0.601789\pi$
$809$	−35.6262	−	17.1567i	−1.25255	−	0.603197i	−0.938195	+	0.346107i	$0.887503\pi$
$810$	−2.61112	−	1.70100i	−0.0917454	−	0.0597669i
$811$	7.49231	−	9.39505i	0.263090	−	0.329905i	−0.632687	−	0.774407i	$-0.718048\pi$
$811$	7.49231	−	9.39505i	0.263090	−	0.329905i	0.895778	+	0.444502i	$0.146620\pi$
$812$	32.0544	+	26.7735i	1.12489	+	0.939567i
$813$	4.80678	+	6.02751i	0.168581	+	0.211394i
$814$	3.50722	+	36.4942i	0.122928	+	1.27912i
$815$	−22.2505			−0.779400
$816$	4.01216	−	7.09993i	0.140454	−	0.248547i
$817$	−17.6435	+	4.02702i	−0.617269	+	0.140888i
$818$	11.7390	−	31.8629i	0.410443	−	1.11406i
$819$	−5.30358	+	4.31790i	−0.185322	+	0.150880i
$820$	−5.76135	+	4.29331i	−0.201195	+	0.149929i
$821$	31.1154	+	39.0174i	1.08593	+	1.36172i	0.927273	+	0.374385i	$0.122146\pi$
$821$	31.1154	+	39.0174i	1.08593	+	1.36172i	0.158661	+	0.987333i	$0.449282\pi$
$822$	−1.53020	+	0.926857i	−0.0533717	+	0.0323278i
$823$	−32.1749	+	7.34370i	−1.12155	+	0.255985i	−0.742799	−	0.669515i	$-0.766502\pi$
$823$	−32.1749	+	7.34370i	−1.12155	+	0.255985i	−0.378747	+	0.925500i	$0.623645\pi$
$824$	−16.5296	−	2.69080i	−0.575834	−	0.0937383i
$825$	0.451213	+	0.102986i	0.0157092	+	0.00358552i
$826$	4.81592	−	40.4569i	0.167567	−	1.40768i
$827$	−40.4354	+	9.22911i	−1.40608	+	0.320928i	−0.857203	−	0.514978i	$-0.827800\pi$
$827$	−40.4354	+	9.22911i	−1.40608	+	0.320928i	−0.548873	+	0.835906i	$0.684943\pi$
$828$	−3.24268	−	0.106337i	−0.112691	−	0.00369547i
$829$	13.5314	+	10.7910i	0.469966	+	0.374786i	0.829646	−	0.558290i	$-0.188542\pi$
$829$	13.5314	+	10.7910i	0.469966	+	0.374786i	−0.359679	+	0.933076i	$0.617114\pi$
$830$	10.2006	+	1.31897i	0.354067	+	0.0457822i
$831$	6.26234	−	3.01579i	0.217238	−	0.104616i
$832$	11.2436	+	17.3555i	0.389801	+	0.601694i
$833$	6.45087	+	12.7304i	0.223510	+	0.441081i
$834$	13.9665	−	1.34223i	0.483620	−	0.0464775i
$835$	−22.4708	−	46.6610i	−0.777633	−	1.61477i
$836$	16.3439	+	0.535964i	0.565266	+	0.0185367i
$837$	2.85620	−	3.58157i	0.0987249	−	0.123797i
$838$	−2.34187	+	18.1114i	−0.0808986	+	0.625647i
$839$	7.85127	+	34.3986i	0.271056	+	1.18757i	0.908769	+	0.417299i	$0.137023\pi$
$839$	7.85127	+	34.3986i	0.271056	+	1.18757i	−0.637713	+	0.770274i	$0.720120\pi$
$840$	−4.83429	−	15.7654i	−0.166799	−	0.543957i
$841$	−7.40921	+	32.4619i	−0.255490	+	1.11938i
$842$	45.0681	+	16.6040i	1.55315	+	0.572212i
$843$	4.30328	+	18.8539i	0.148213	+	0.649363i
$844$	−30.1208	−	40.4202i	−1.03680	−	1.39132i
$845$	10.8852	−	8.68062i	0.374461	−	0.298622i
$846$	−10.4617	+	6.33677i	−0.359681	+	0.217863i
$847$	1.89833	−	0.0191921i	0.0652275	−	0.000659447i
$848$	−23.0055	−	1.51046i	−0.790012	−	0.0518694i
$849$	0.181917	+	0.797029i	0.00624336	+	0.0273540i
$850$	0.299044	−	0.289398i	0.0102571	−	0.00992627i
$851$		−	13.1149i		−	0.449572i
$852$	−0.0393894	−	0.203040i	−0.00134946	−	0.00695602i
$853$	6.77390	−	5.40201i	0.231934	−	0.184961i	−0.500626	−	0.865664i	$-0.666897\pi$
$853$	6.77390	−	5.40201i	0.231934	−	0.184961i	0.732560	+	0.680702i	$0.238325\pi$
$854$	22.8415	−	7.83189i	0.781619	−	0.268002i
$855$	−4.39287	−	3.50320i	−0.150233	−	0.119807i
$856$	20.7908	+	8.44355i	0.710614	+	0.288595i
$857$	14.9327	−	31.0080i	0.510090	−	1.05921i	−0.473832	−	0.880615i	$-0.657130\pi$
$857$	14.9327	−	31.0080i	0.510090	−	1.05921i	0.983922	−	0.178598i	$-0.0571562\pi$
$858$	−10.9994	−	4.05242i	−0.375515	−	0.138347i
$859$	−18.0943	+	22.6895i	−0.617369	+	0.774156i	−0.987972	−	0.154636i	$-0.950580\pi$
$859$	−18.0943	+	22.6895i	−0.617369	+	0.774156i	0.370603	+	0.928791i	$0.379151\pi$
$860$	−14.4880	+	27.7217i	−0.494035	+	0.945303i
$861$	4.19541	−	1.00230i	0.142979	−	0.0341584i
$862$	−9.62153	+	9.31118i	−0.327711	+	0.317140i
$863$			24.0645i			0.819165i	0.912273	+	0.409583i	$0.134326\pi$
$863$			24.0645i			0.819165i	−0.912273	+	0.409583i	$0.865674\pi$
$864$	5.02009	−	2.60743i	0.170787	−	0.0887065i
$865$	25.5874	+	32.0856i	0.869997	+	1.09094i
$866$	−31.7566	+	10.5312i	−1.07913	+	0.357863i
$867$	−11.5715	−	5.57252i	−0.392987	−	0.189253i
$868$	23.7488	−	4.85686i	0.806087	−	0.164853i
$869$	1.05030	−	0.505799i	0.0356290	−	0.0171580i
$870$	17.6750	−	17.1049i	0.599239	−	0.579911i
$871$	4.80284	−	2.31293i	0.162738	−	0.0783706i
$872$	15.5981	+	27.7664i	0.528217	+	0.940290i
$873$	1.13740	−	2.36184i	0.0384952	−	0.0799362i
$874$	−5.80140	−	0.750143i	−0.196235	−	0.0253740i
$875$	−0.303200	−	29.9903i	−0.0102500	−	1.01386i
$876$	22.4493	−	9.91820i	0.758491	−	0.335105i
$877$	−9.98503	+	43.7473i	−0.337170	+	1.47724i	0.467752	+	0.883860i	$0.345064\pi$
$877$	−9.98503	+	43.7473i	−0.337170	+	1.47724i	−0.804922	+	0.593380i	$0.797793\pi$
$878$	12.6035	−	19.3471i	0.425349	−	0.652933i
$879$	2.94761	+	0.672772i	0.0994204	+	0.0226921i
$880$	19.0322	−	20.8956i	0.641574	−	0.704392i
$881$			5.99775i			0.202069i	0.994883	+	0.101035i	$0.0322153\pi$
$881$			5.99775i			0.202069i	−0.994883	+	0.101035i	$0.967785\pi$
$882$	−1.07072	+	9.84142i	−0.0360530	+	0.331378i
$883$		−	3.33241i		−	0.112144i	−0.998427	−	0.0560722i	$-0.982142\pi$
$883$		−	3.33241i		−	0.112144i	0.998427	−	0.0560722i	$-0.0178577\pi$
$884$	−8.45158	+	6.29806i	−0.284257	+	0.211827i
$885$	−23.3928	−	5.33924i	−0.786339	−	0.179477i
$886$	20.7551	+	13.5208i	0.697283	+	0.454240i
$887$	8.28610	−	36.3038i	0.278220	−	1.21896i	−0.621822	−	0.783159i	$-0.713607\pi$
$887$	8.28610	−	36.3038i	0.278220	−	1.21896i	0.900042	−	0.435803i	$-0.143536\pi$
$888$	11.1994	+	19.9363i	0.375827	+	0.669018i
$889$	33.8078	+	7.35764i	1.13388	+	0.246767i
$890$	2.99891	−	23.1927i	0.100524	−	0.777422i
$891$	−1.39130	+	2.88907i	−0.0466104	+	0.0967875i
$892$	18.4420	+	41.7425i	0.617485	+	1.39764i
$893$	−19.8689	+	9.56836i	−0.664888	+	0.320193i
$894$	13.1808	+	13.6202i	0.440833	+	0.455526i
$895$	50.7679	−	24.4485i	1.69698	−	0.817224i
$896$	29.2324	+	6.43952i	0.976586	+	0.215129i
$897$	3.77800	+	1.81939i	0.126144	+	0.0607477i
$898$	11.9544	+	36.0484i	0.398924	+	1.20295i
$899$	22.5435	+	28.2687i	0.751869	+	0.942814i
$900$	0.283379	−	0.0549751i	0.00944597	−	0.00183250i
$901$		−	11.7511i		−	0.391485i
$902$	5.14151	+	5.31288i	0.171194	+	0.176900i
$903$	14.5622	−	11.8558i	0.484600	−	0.394536i
$904$	8.14154	−	20.0471i	0.270784	−	0.666758i
$905$	7.52241	−	9.43280i	0.250053	−	0.313557i
$906$	−8.59090	+	23.3182i	−0.285414	+	0.774695i
$907$	−17.9690	+	37.3130i	−0.596651	+	1.23896i	0.355884	+	0.934530i	$0.384180\pi$
$907$	−17.9690	+	37.3130i	−0.596651	+	1.23896i	−0.952535	+	0.304429i	$0.901534\pi$
$908$	−1.08113	+	2.06867i	−0.0358785	+	0.0686512i
$909$	−12.7427	−	10.1620i	−0.422650	−	0.337052i
$910$	−2.51921	+	21.1630i	−0.0835111	+	0.701548i
$911$	13.9910	−	11.1575i	0.463543	−	0.369664i	−0.363692	−	0.931519i	$-0.618484\pi$
$911$	13.9910	−	11.1575i	0.463543	−	0.369664i	0.827235	+	0.561856i	$0.189912\pi$
$912$	9.45944	−	3.81377i	0.313233	−	0.126286i
$913$		−	10.5836i		−	0.350266i
$914$	3.07143	+	3.17380i	0.101594	+	0.104980i
$915$	−3.16441	−	13.8642i	−0.104612	−	0.458335i
$916$	14.1282	−	53.7183i	0.466808	−	1.77490i
$917$	31.7713	−	40.6768i	1.04918	−	1.34327i
$918$	1.49378	+	2.46616i	0.0493020	+	0.0813953i
$919$	−8.22580	+	6.55986i	−0.271344	+	0.216390i	−0.749703	−	0.661775i	$-0.769803\pi$
$919$	−8.22580	+	6.55986i	−0.271344	+	0.216390i	0.478358	+	0.878165i	$0.341232\pi$
$920$	−7.49204	+	6.78924i	−0.247005	+	0.223834i
$921$	4.85797	+	21.2842i	0.160076	+	0.701337i
$922$	−2.38301	+	6.46818i	−0.0784802	+	0.213018i
$923$	−0.0594825	+	0.260610i	−0.00195789	+	0.00857807i
$924$	−15.4505	+	7.01363i	−0.508284	+	0.230732i
$925$	0.259650	+	1.13760i	0.00853723	+	0.0374041i
$926$	−3.17591	−	0.410657i	−0.104367	−	0.0134950i
$927$	3.69169	−	4.62923i	0.121251	−	0.152044i
$928$	11.2471	+	43.2088i	0.369205	+	1.41840i
$929$	−3.37196	−	7.00195i	−0.110630	−	0.229727i	0.838302	−	0.545207i	$-0.183549\pi$
$929$	−3.37196	−	7.00195i	−0.110630	−	0.229727i	−0.948932	+	0.315480i	$0.897834\pi$
$930$	−1.36566	−	14.2103i	−0.0447817	−	0.465974i
$931$	−3.61910	+	17.4780i	−0.118611	+	0.572819i
$932$	−27.5111	+	5.33712i	−0.901157	+	0.174823i
$933$	−11.2772	+	5.43080i	−0.369198	+	0.177796i
$934$	−5.00738	+	38.7257i	−0.163847	+	1.26714i
$935$	11.2631	+	8.98202i	0.368343	+	0.293744i
$936$	−7.29671	+	0.460507i	−0.238500	+	0.0150521i
$937$	−30.9100	+	7.05500i	−1.00978	+	0.230477i	−0.695249	−	0.718769i	$-0.744706\pi$
$937$	−30.9100	+	7.05500i	−1.00978	+	0.230477i	−0.314536	+	0.949246i	$0.601849\pi$
$938$	2.59422	−	7.26711i	0.0847043	−	0.237280i
$939$	−4.95162	−	1.13017i	−0.161590	−	0.0368819i
$940$	−9.69501	+	36.8625i	−0.316216	+	1.20232i
$941$	32.5309	−	7.42497i	1.06048	−	0.242047i	0.343507	−	0.939150i	$-0.388385\pi$
$941$	32.5309	−	7.42497i	1.06048	−	0.242047i	0.716971	+	0.697103i	$0.245528\pi$
$942$	−14.2193	−	23.4754i	−0.463290	−	0.764870i
$943$	−1.64898	−	2.06776i	−0.0536982	−	0.0673354i
$944$	29.3292	−	32.2008i	0.954583	−	1.04805i
$945$	5.69672	+	1.23978i	0.185314	+	0.0403302i
$946$	30.2015	+	11.1268i	0.981934	+	0.361765i
$947$	−27.6143	+	6.30278i	−0.897344	+	0.204813i	−0.646228	−	0.763144i	$-0.723655\pi$
$947$	−27.6143	+	6.30278i	−0.897344	+	0.204813i	−0.251116	+	0.967957i	$0.580798\pi$
$948$	0.471718	−	0.553295i	0.0153207	−	0.0179702i
$949$	−31.7202			−1.02968
$950$	0.518071	−	0.0497884i	0.0168084	−	0.00161535i
$951$	−7.44737	−	9.33870i	−0.241497	−	0.302828i
$952$	−2.29899	+	15.0827i	−0.0745108	+	0.488832i
$953$	−8.69686	+	10.9055i	−0.281719	+	0.353264i	−0.902477	−	0.430738i	$-0.858253\pi$
$953$	−8.69686	+	10.9055i	−0.281719	+	0.353264i	0.620758	+	0.784002i	$0.286825\pi$
$954$	4.44923	−	6.82980i	0.144049	−	0.221123i
$955$	−29.9700	−	14.4328i	−0.969805	−	0.467034i
$956$	−12.2669	+	46.6414i	−0.396740	+	1.50849i
$957$	−19.7877	−	15.7801i	−0.639644	−	0.510099i
$958$	23.4962	−	36.0678i	0.759126	−	1.16530i
$959$	2.06022	−	2.63770i	0.0665280	−	0.0851759i
$960$	5.59120	−	16.7183i	0.180455	−	0.539580i
$961$	−10.0145			−0.323047
$962$	−2.82722	−	29.4185i	−0.0911532	−	0.948491i
$963$	−6.20282	+	4.94659i	−0.199883	+	0.159402i
$964$	25.8864	−	11.4367i	0.833744	−	0.368352i
$965$	14.0697	−	29.2161i	0.452920	−	0.940499i
$966$	5.74163	−	1.96869i	0.184734	−	0.0633416i
$967$	−20.7535	−	43.0951i	−0.667389	−	1.38585i	−0.909543	−	0.415609i	$-0.863569\pi$
$967$	−20.7535	−	43.0951i	−0.667389	−	1.38585i	0.242155	−	0.970238i	$-0.422146\pi$
$968$	1.66328	+	1.16292i	0.0534599	+	0.0373777i
$969$	2.25557	+	4.68373i	0.0724592	+	0.150463i
$970$	−2.57138	−	7.75397i	−0.0825620	−	0.248965i
$971$	−44.5743	−	21.4659i	−1.43046	−	0.688873i	−0.451376	−	0.892334i	$-0.649067\pi$
$971$	−44.5743	−	21.4659i	−1.43046	−	0.688873i	−0.979083	+	0.203461i	$0.934781\pi$
$972$	−0.0655506	+	1.99893i	−0.00210254	+	0.0641156i
$973$	−23.5334	+	11.6276i	−0.754448	+	0.372765i
$974$	45.5112	−	15.0925i	1.45827	−	0.483594i
$975$	−0.363729	−	0.0830188i	−0.0116486	−	0.00265873i
$976$	24.7365	+	7.38065i	0.791795	+	0.236249i
$977$	−2.50508	+	10.9755i	−0.0801447	+	0.351137i	−0.999061	−	0.0433146i	$-0.986208\pi$
$977$	−2.50508	+	10.9755i	−0.0801447	+	0.351137i	0.918917	+	0.394451i	$0.129065\pi$
$978$	7.39825	+	12.2142i	0.236570	+	0.390566i
$979$	−24.0636			−0.769077
$980$	18.9300	+	24.3591i	0.604698	+	0.778122i
$981$	−11.2599			−0.359500
$982$	6.79999	+	11.2265i	0.216996	+	0.358251i
$983$	0.374335	−	1.64007i	0.0119394	−	0.0523100i	−0.968607	−	0.248596i	$-0.920031\pi$
$983$	0.374335	−	1.64007i	0.0119394	−	0.0523100i	0.980547	+	0.196286i	$0.0628880\pi$
$984$	4.27241	+	1.73511i	0.136199	+	0.0553133i
$985$	−48.6690	−	11.1084i	−1.55072	−	0.353943i
$986$	−21.6005	+	7.16317i	−0.687899	+	0.228122i
$987$	14.0854	−	18.0335i	0.448343	−	0.574014i
$988$	−13.1750	−	0.432048i	−0.419154	−	0.0137453i
$989$	−10.3734	−	4.99555i	−0.329854	−	0.158849i
$990$	3.14539	+	9.48488i	0.0999669	+	0.301449i
$991$	−12.4838	−	25.9230i	−0.396562	−	0.823470i	−0.999667	−	0.0258082i	$-0.991784\pi$
$991$	−12.4838	−	25.9230i	−0.396562	−	0.823470i	0.603104	−	0.797662i	$-0.293930\pi$
$992$	23.6771	+	10.5324i	0.751748	+	0.334406i
$993$	14.5231	+	30.1575i	0.460877	+	0.957021i
$994$	0.203800	+	0.328913i	0.00646413	+	0.0104325i
$995$	11.1290	−	23.1097i	0.352814	−	0.732627i
$996$	−2.66764	−	6.03804i	−0.0845273	−	0.191323i
$997$	16.3052	−	13.0030i	0.516391	−	0.411808i	−0.330314	−	0.943871i	$-0.607155\pi$
$997$	16.3052	−	13.0030i	0.516391	−	0.411808i	0.846705	+	0.532063i	$0.178583\pi$
$998$	1.64202	+	17.0860i	0.0519773	+	0.540848i
$999$	−8.08457			−0.255784

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.223.5	✓	168
4.3	odd	2		588.2.x.b.223.3	yes	168
49.20	odd	14		588.2.x.b.559.3	yes	168
196.167	even	14	inner	588.2.x.a.559.5	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.5	✓	168	1.1	even	1	trivial
588.2.x.a.559.5	yes	168	196.167	even	14	inner
588.2.x.b.223.3	yes	168	4.3	odd	2
588.2.x.b.559.3	yes	168	49.20	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)

\(f(q)\)	\(=\)	\(q+(-1.20962 + 0.732680i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.926360 - 1.77253i) q^{4} +(2.14831 + 0.490338i) q^{5} +(-0.445144 - 1.34233i) q^{6} +(1.67043 + 2.05175i) q^{7} +(0.178152 + 2.82281i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(-1.20962 + 0.732680i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.926360 - 1.77253i) q^{4} +(2.14831 + 0.490338i) q^{5} +(-0.445144 - 1.34233i) q^{6} +(1.67043 + 2.05175i) q^{7} +(0.178152 + 2.82281i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-2.95790 + 0.980901i) q^{10} +(1.39130 + 2.88907i) q^{11} +(1.52195 + 1.29756i) q^{12} +(-1.12155 - 2.32892i) q^{13} +(-3.52386 - 1.25795i) q^{14} +(-0.956088 + 1.98534i) q^{15} +(-2.28371 - 3.28400i) q^{16} +(1.59399 - 1.27116i) q^{17} +(1.40773 - 0.135287i) q^{18} +2.54983 q^{19} +(2.85925 - 3.35371i) q^{20} +(-2.37201 + 1.17199i) q^{21} +(-3.79971 - 2.47530i) q^{22} +(1.26830 + 1.01143i) q^{23} +(-2.79168 - 0.454449i) q^{24} +(-0.130038 - 0.0626230i) q^{25} +(3.06300 + 1.99537i) q^{26} +(0.623490 - 0.781831i) q^{27} +(5.18420 - 1.06022i) q^{28} +(4.92110 + 6.17086i) q^{29} +(-0.298114 - 3.10201i) q^{30} +4.58100 q^{31} +(5.16855 + 2.29916i) q^{32} +(-3.12623 + 0.713542i) q^{33} +(-0.996764 + 2.70551i) q^{34} +(2.58254 + 5.22687i) q^{35} +(-1.60369 + 1.19506i) q^{36} +(-5.04065 - 6.32077i) q^{37} +(-3.08432 + 1.86821i) q^{38} +(2.52010 - 0.575196i) q^{39} +(-1.00141 + 6.15163i) q^{40} +(-1.58946 - 0.362785i) q^{41} +(2.01054 - 3.15559i) q^{42} +(-6.91951 + 1.57933i) q^{43} +(6.40981 + 0.210196i) q^{44} +(-1.72281 - 1.37390i) q^{45} +(-2.27521 - 0.294194i) q^{46} +(-7.79226 + 3.75255i) q^{47} +(3.70984 - 1.49570i) q^{48} +(-1.41935 + 6.85459i) q^{49} +(0.203179 - 0.0195262i) q^{50} +(0.884596 + 1.83688i) q^{51} +(-5.16704 - 0.169442i) q^{52} +(3.59364 - 4.50629i) q^{53} +(-0.181353 + 1.40254i) q^{54} +(1.57233 + 6.88883i) q^{55} +(-5.49411 + 5.08082i) q^{56} +(-0.567390 + 2.48590i) q^{57} +(-10.4739 - 3.85881i) q^{58} +(2.42301 + 10.6159i) q^{59} +(2.63338 + 3.53383i) q^{60} +(-5.04557 + 4.02370i) q^{61} +(-5.54126 + 3.35640i) q^{62} +(-0.614781 - 2.57333i) q^{63} +(-7.93652 + 1.00578i) q^{64} +(-1.26748 - 5.55318i) q^{65} +(3.25875 - 3.15364i) q^{66} +2.06226i q^{67} +(-0.776565 - 4.00294i) q^{68} +(-1.26830 + 1.01143i) q^{69} +(-6.95352 - 4.43035i) q^{70} +(-0.0808511 - 0.0644766i) q^{71} +(1.06426 - 2.62056i) q^{72} +(5.32433 - 11.0561i) q^{73} +(10.7284 + 3.95255i) q^{74} +(0.0899890 - 0.112843i) q^{75} +(2.36206 - 4.51964i) q^{76} +(-3.60358 + 7.68059i) q^{77} +(-2.62693 + 2.54219i) q^{78} -0.363543i q^{79} +(-3.29586 - 8.17484i) q^{80} +(0.623490 + 0.781831i) q^{81} +(2.18845 - 0.725737i) q^{82} +(-2.97368 - 1.43205i) q^{83} +(-0.119956 + 5.29014i) q^{84} +(4.04768 - 1.94926i) q^{85} +(7.21283 - 6.98018i) q^{86} +(-7.11119 + 3.42457i) q^{87} +(-7.90744 + 4.44208i) q^{88} +(-3.25601 + 6.76118i) q^{89} +(3.09057 + 0.399623i) q^{90} +(2.90490 - 6.19143i) q^{91} +(2.96769 - 1.31114i) q^{92} +(-1.01937 + 4.46614i) q^{93} +(6.67625 - 10.2484i) q^{94} +(5.47782 + 1.25028i) q^{95} +(-3.39163 + 4.52735i) q^{96} +2.62144i q^{97} +(-3.30535 - 9.33138i) q^{98} -3.20663i 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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