LMFDB - Embedded newform 150.2.l.a.113.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,2,Mod(17,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 13]))

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

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

chi := DirichletCharacter("150.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	150.l (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.19775603032$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			113.2
Character	$\chi$	$=$	150.113
Dual form			150.2.l.a.77.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156434 - 0.987688i) q^{2} +(-1.21627 + 1.23316i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(0.103560 - 2.23367i) q^{5} +(1.40824 + 1.00839i) q^{6} +(2.28673 - 2.28673i) q^{7} +(0.453990 + 0.891007i) q^{8} +(-0.0413664 - 2.99971i) q^{9} +O(q^{10})$	\(q+(-0.156434 - 0.987688i) q^{2} +(-1.21627 + 1.23316i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(0.103560 - 2.23367i) q^{5} +(1.40824 + 1.00839i) q^{6} +(2.28673 - 2.28673i) q^{7} +(0.453990 + 0.891007i) q^{8} +(-0.0413664 - 2.99971i) q^{9} +(-2.22237 + 0.247138i) q^{10} +(2.43923 - 3.35732i) q^{11} +(0.775676 - 1.54865i) q^{12} +(-2.10294 - 0.333073i) q^{13} +(-2.61630 - 1.90085i) q^{14} +(2.62851 + 2.84445i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-4.19457 + 2.13724i) q^{17} +(-2.95631 + 0.510116i) q^{18} +(7.55516 + 2.45482i) q^{19} +(0.591750 + 2.15635i) q^{20} +(0.0386186 + 5.60118i) q^{21} +(-3.69756 - 1.88400i) q^{22} +(-3.35168 + 0.530854i) q^{23} +(-1.65093 - 0.523863i) q^{24} +(-4.97855 - 0.462637i) q^{25} +2.12915i q^{26} +(3.74944 + 3.59746i) q^{27} +(-1.46817 + 2.88144i) q^{28} +(-0.0799714 - 0.246127i) q^{29} +(2.39824 - 3.04112i) q^{30} +(-0.605045 + 1.86214i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(1.17334 + 7.09137i) q^{33} +(2.76710 + 3.80859i) q^{34} +(-4.87098 - 5.34460i) q^{35} +(0.966305 + 2.84012i) q^{36} +(0.925865 - 5.84568i) q^{37} +(1.24271 - 7.84617i) q^{38} +(2.96848 - 2.18815i) q^{39} +(2.03723 - 0.921792i) q^{40} +(2.94138 + 4.04846i) q^{41} +(5.52618 - 0.914361i) q^{42} +(6.41535 + 6.41535i) q^{43} +(-1.28238 + 3.94676i) q^{44} +(-6.70465 - 0.218252i) q^{45} +(1.04864 + 3.22737i) q^{46} +(-1.85197 + 3.63470i) q^{47} +(-0.259151 + 1.71255i) q^{48} -3.45825i q^{49} +(0.321875 + 4.98963i) q^{50} +(2.46618 - 7.77205i) q^{51} +(2.10294 - 0.333073i) q^{52} +(6.16604 + 3.14175i) q^{53} +(2.96662 - 4.26604i) q^{54} +(-7.24652 - 5.79612i) q^{55} +(3.07564 + 0.999337i) q^{56} +(-12.2163 + 6.33100i) q^{57} +(-0.230586 + 0.117490i) q^{58} +(5.82928 - 4.23522i) q^{59} +(-3.37885 - 1.89298i) q^{60} +(-5.87923 - 4.27151i) q^{61} +(1.93386 + 0.306293i) q^{62} +(-6.95412 - 6.76494i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-0.961755 + 4.66278i) q^{65} +(6.82052 - 2.26823i) q^{66} +(-1.94227 - 3.81192i) q^{67} +(3.32883 - 3.32883i) q^{68} +(3.42192 - 4.77882i) q^{69} +(-4.51682 + 5.64709i) q^{70} +(-10.3128 + 3.35084i) q^{71} +(2.65399 - 1.39870i) q^{72} +(0.126822 + 0.800725i) q^{73} -5.91855 q^{74} +(6.62578 - 5.57666i) q^{75} -7.94397 q^{76} +(-2.09941 - 13.2551i) q^{77} +(-2.62559 - 2.58963i) q^{78} +(-3.93956 + 1.28004i) q^{79} +(-1.22914 - 1.86795i) q^{80} +(-8.99658 + 0.248175i) q^{81} +(3.53849 - 3.53849i) q^{82} +(5.20210 + 10.2097i) q^{83} +(-1.76759 - 5.31511i) q^{84} +(4.33950 + 9.59062i) q^{85} +(5.33279 - 7.33995i) q^{86} +(0.400781 + 0.200739i) q^{87} +(4.09878 + 0.649183i) q^{88} +(13.0522 + 9.48300i) q^{89} +(0.833274 + 6.65625i) q^{90} +(-5.57050 + 4.04720i) q^{91} +(3.02359 - 1.54060i) q^{92} +(-1.56041 - 3.01098i) q^{93} +(3.87966 + 1.26058i) q^{94} +(6.26567 - 16.6215i) q^{95} +(1.73201 - 0.0119417i) q^{96} +(0.292688 + 0.149132i) q^{97} +(-3.41567 + 0.540989i) q^{98} +(-10.1719 - 7.17812i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) $ 80 * q + 4 * q^3 + 4 * q^7	$ 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) $ 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$-1$	$e\left(\frac{19}{20}\right)$

Coefficient data

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

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

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

$2$	−0.156434	−	0.987688i	−0.110616	−	0.698401i
$2$	−0.156434	−	0.987688i	−0.110616	−	0.698401i
$3$	−1.21627	+	1.23316i	−0.702215	+	0.711965i
$3$	−1.21627	+	1.23316i	−0.702215	+	0.711965i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	0.103560	−	2.23367i	0.0463134	−	0.998927i
$5$	0.103560	−	2.23367i	0.0463134	−	0.998927i
$6$	1.40824	+	1.00839i	0.574913	+	0.411673i
$7$	2.28673	−	2.28673i	0.864302	−	0.864302i	−0.127533	−	0.991834i	$-0.540706\pi$
$7$	2.28673	−	2.28673i	0.864302	−	0.864302i	0.991834	+	0.127533i	$0.0407057\pi$
$8$	0.453990	+	0.891007i	0.160510	+	0.315018i
$9$	−0.0413664	−	2.99971i	−0.0137888	−	0.999905i
$10$	−2.22237	+	0.247138i	−0.702775	+	0.0781518i
$11$	2.43923	−	3.35732i	0.735456	−	1.01227i	−0.263411	−	0.964684i	$-0.584847\pi$
$11$	2.43923	−	3.35732i	0.735456	−	1.01227i	0.998867	−	0.0475851i	$-0.0151525\pi$
$12$	0.775676	−	1.54865i	0.223918	−	0.447058i
$13$	−2.10294	−	0.333073i	−0.583250	−	0.0923778i	−0.142165	−	0.989843i	$-0.545406\pi$
$13$	−2.10294	−	0.333073i	−0.583250	−	0.0923778i	−0.441085	+	0.897465i	$0.645406\pi$
$14$	−2.61630	−	1.90085i	−0.699235	−	0.508024i
$15$	2.62851	+	2.84445i	0.678679	+	0.734435i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	−4.19457	+	2.13724i	−1.01733	+	0.518357i	−0.881405	−	0.472361i	$-0.843402\pi$
$17$	−4.19457	+	2.13724i	−1.01733	+	0.518357i	−0.135928	+	0.990719i	$0.543402\pi$
$18$	−2.95631	+	0.510116i	−0.696809	+	0.120235i
$19$	7.55516	+	2.45482i	1.73327	+	0.563175i	0.993916	−	0.110139i	$-0.0351295\pi$
$19$	7.55516	+	2.45482i	1.73327	+	0.563175i	0.739357	+	0.673313i	$0.235129\pi$
$20$	0.591750	+	2.15635i	0.132319	+	0.482174i
$21$	0.0386186	+	5.60118i	0.00842727	+	1.22228i
$22$	−3.69756	−	1.88400i	−0.788323	−	0.401671i
$23$	−3.35168	+	0.530854i	−0.698873	+	0.110691i	−0.495754	−	0.868463i	$-0.665108\pi$
$23$	−3.35168	+	0.530854i	−0.698873	+	0.110691i	−0.203120	+	0.979154i	$0.565108\pi$
$24$	−1.65093	−	0.523863i	−0.336995	−	0.106933i
$25$	−4.97855	−	0.462637i	−0.995710	−	0.0925275i
$26$			2.12915i			0.417561i
$27$	3.74944	+	3.59746i	0.721580	+	0.692331i
$28$	−1.46817	+	2.88144i	−0.277458	+	0.544542i
$29$	−0.0799714	−	0.246127i	−0.0148503	−	0.0457046i	0.943357	−	0.331780i	$-0.107649\pi$
$29$	−0.0799714	−	0.246127i	−0.0148503	−	0.0457046i	−0.958207	+	0.286075i	$0.907649\pi$
$30$	2.39824	−	3.04112i	0.437857	−	0.555230i
$31$	−0.605045	+	1.86214i	−0.108669	+	0.334450i	−0.990574	−	0.136978i	$-0.956261\pi$
$31$	−0.605045	+	1.86214i	−0.108669	+	0.334450i	0.881905	+	0.471427i	$0.156261\pi$
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	1.17334	+	7.09137i	0.204252	+	1.23445i
$34$	2.76710	+	3.80859i	0.474555	+	0.653168i
$35$	−4.87098	−	5.34460i	−0.823346	−	0.903403i
$36$	0.966305	+	2.84012i	0.161051	+	0.473353i
$37$	0.925865	−	5.84568i	0.152211	−	0.961025i	−0.786817	−	0.617186i	$-0.788273\pi$
$37$	0.925865	−	5.84568i	0.152211	−	0.961025i	0.939029	−	0.343839i	$-0.111727\pi$
$38$	1.24271	−	7.84617i	0.201594	−	1.27282i
$39$	2.96848	−	2.18815i	0.475337	−	0.350385i
$40$	2.03723	−	0.921792i	0.322114	−	0.145748i
$41$	2.94138	+	4.04846i	0.459366	+	0.632264i	0.974377	−	0.224920i	$-0.0722121\pi$
$41$	2.94138	+	4.04846i	0.459366	+	0.632264i	−0.515011	+	0.857184i	$0.672212\pi$
$42$	5.52618	−	0.914361i	0.852708	−	0.141089i
$43$	6.41535	+	6.41535i	0.978332	+	0.978332i	0.999770	−	0.0214378i	$-0.00682438\pi$
$43$	6.41535	+	6.41535i	0.978332	+	0.978332i	−0.0214378	+	0.999770i	$0.506824\pi$
$44$	−1.28238	+	3.94676i	−0.193326	+	0.594997i
$45$	−6.70465	−	0.218252i	−0.999471	−	0.0325350i
$46$	1.04864	+	3.22737i	0.154613	+	0.475850i
$47$	−1.85197	+	3.63470i	−0.270138	+	0.530175i	−0.985728	−	0.168345i	$-0.946158\pi$
$47$	−1.85197	+	3.63470i	−0.270138	+	0.530175i	0.715590	+	0.698520i	$0.246158\pi$
$48$	−0.259151	+	1.71255i	−0.0374053	+	0.247186i
$49$		−	3.45825i		−	0.494035i
$50$	0.321875	+	4.98963i	0.0455201	+	0.705640i
$51$	2.46618	−	7.77205i	0.345334	−	1.08830i
$52$	2.10294	−	0.333073i	0.291625	−	0.0461889i
$53$	6.16604	+	3.14175i	0.846970	+	0.431553i	0.822920	−	0.568158i	$-0.192344\pi$
$53$	6.16604	+	3.14175i	0.846970	+	0.431553i	0.0240506	+	0.999711i	$0.492344\pi$
$54$	2.96662	−	4.26604i	0.403706	−	0.580535i
$55$	−7.24652	−	5.79612i	−0.977121	−	0.781549i
$56$	3.07564	+	0.999337i	0.411000	+	0.133542i
$57$	−12.2163	+	6.33100i	−1.61809	+	0.838561i
$58$	−0.230586	+	0.117490i	−0.0302775	+	0.0154271i
$59$	5.82928	−	4.23522i	0.758908	−	0.551379i	−0.139667	−	0.990198i	$-0.544603\pi$
$59$	5.82928	−	4.23522i	0.758908	−	0.551379i	0.898575	+	0.438820i	$0.144603\pi$
$60$	−3.37885	−	1.89298i	−0.436208	−	0.244383i
$61$	−5.87923	−	4.27151i	−0.752758	−	0.546911i	0.143922	−	0.989589i	$-0.454029\pi$
$61$	−5.87923	−	4.27151i	−0.752758	−	0.546911i	−0.896681	+	0.442678i	$0.854029\pi$
$62$	1.93386	+	0.306293i	0.245600	+	0.0388993i
$63$	−6.95412	−	6.76494i	−0.876137	−	0.852302i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	−0.961755	+	4.66278i	−0.119291	+	0.578346i
$66$	6.82052	−	2.26823i	0.839547	−	0.279199i
$67$	−1.94227	−	3.81192i	−0.237286	−	0.465700i	0.741400	−	0.671064i	$-0.234162\pi$
$67$	−1.94227	−	3.81192i	−0.237286	−	0.465700i	−0.978686	+	0.205363i	$0.934162\pi$
$68$	3.32883	−	3.32883i	0.403680	−	0.403680i
$69$	3.42192	−	4.77882i	0.411951	−	0.575302i
$70$	−4.51682	+	5.64709i	−0.539863	+	0.674956i
$71$	−10.3128	+	3.35084i	−1.22391	+	0.397671i	−0.848503	−	0.529191i	$-0.822496\pi$
$71$	−10.3128	+	3.35084i	−1.22391	+	0.397671i	−0.375403	+	0.926862i	$0.622496\pi$
$72$	2.65399	−	1.39870i	0.312775	−	0.164838i
$73$	0.126822	+	0.800725i	0.0148434	+	0.0937177i	0.993998	−	0.109399i	$-0.0348928\pi$
$73$	0.126822	+	0.800725i	0.0148434	+	0.0937177i	−0.979154	+	0.203117i	$0.934893\pi$
$74$	−5.91855			−0.688018
$75$	6.62578	−	5.57666i	0.765079	−	0.643937i
$76$	−7.94397			−0.911236
$77$	−2.09941	−	13.2551i	−0.239250	−	1.51056i
$78$	−2.62559	−	2.58963i	−0.297289	−	0.293218i
$79$	−3.93956	+	1.28004i	−0.443235	+	0.144016i	−0.522128	−	0.852867i	$-0.674862\pi$
$79$	−3.93956	+	1.28004i	−0.443235	+	0.144016i	0.0788925	+	0.996883i	$0.474862\pi$
$80$	−1.22914	−	1.86795i	−0.137422	−	0.208843i
$81$	−8.99658	+	0.248175i	−0.999620	+	0.0275750i
$82$	3.53849	−	3.53849i	0.390760	−	0.390760i
$83$	5.20210	+	10.2097i	0.571005	+	1.12066i	0.978267	+	0.207349i	$0.0664834\pi$
$83$	5.20210	+	10.2097i	0.571005	+	1.12066i	−0.407262	+	0.913311i	$0.633517\pi$
$84$	−1.76759	−	5.31511i	−0.192860	−	0.579926i
$85$	4.33950	+	9.59062i	0.470685	+	1.04025i
$86$	5.33279	−	7.33995i	0.575049	−	0.791488i
$87$	0.400781	+	0.200739i	0.0429682	+	0.0215215i
$88$	4.09878	+	0.649183i	0.436931	+	0.0692031i
$89$	13.0522	+	9.48300i	1.38353	+	1.00520i	0.996540	+	0.0831132i	$0.0264863\pi$
$89$	13.0522	+	9.48300i	1.38353	+	1.00520i	0.386993	+	0.922083i	$0.373514\pi$
$90$	0.833274	+	6.65625i	0.0878348	+	0.701630i
$91$	−5.57050	+	4.04720i	−0.583947	+	0.424262i
$92$	3.02359	−	1.54060i	0.315231	−	0.160618i
$93$	−1.56041	−	3.01098i	−0.161807	−	0.312224i
$94$	3.87966	+	1.26058i	0.400156	+	0.130019i
$95$	6.26567	−	16.6215i	0.642844	−	1.70533i
$96$	1.73201	−	0.0119417i	0.176772	−	0.00121880i
$97$	0.292688	+	0.149132i	0.0297179	+	0.0151420i	0.468786	−	0.883312i	$-0.344691\pi$
$97$	0.292688	+	0.149132i	0.0297179	+	0.0151420i	−0.439068	+	0.898454i	$0.644691\pi$
$98$	−3.41567	+	0.540989i	−0.345035	+	0.0546481i
$99$	−10.1719	−	7.17812i	−1.02231	−	0.721429i
$100$	4.87785	−	1.09846i	0.487785	−	0.109846i
$101$		−	1.17314i		−	0.116731i	−0.998295	−	0.0583657i	$-0.981411\pi$
$101$		−	1.17314i		−	0.116731i	0.998295	−	0.0583657i	$-0.0185890\pi$
$102$	−8.06215	−	1.22000i	−0.798272	−	0.120798i
$103$	4.46181	−	8.75679i	0.439635	−	0.862832i	−0.559780	−	0.828641i	$-0.689115\pi$
$103$	4.46181	−	8.75679i	0.439635	−	0.862832i	0.999415	−	0.0341911i	$-0.0108855\pi$
$104$	−0.657944	−	2.02494i	−0.0645168	−	0.198562i
$105$	12.5152	+	0.493797i	1.22136	+	0.0481897i
$106$	2.13849	−	6.58160i	0.207709	−	0.639261i
$107$	8.52875	+	8.52875i	0.824506	+	0.824506i	0.986751	−	0.162245i	$-0.0518735\pi$
$107$	8.52875	+	8.52875i	0.824506	+	0.824506i	−0.162245	+	0.986751i	$0.551873\pi$
$108$	−4.67761	−	2.26274i	−0.450103	−	0.217733i
$109$	2.25230	+	3.10003i	0.215732	+	0.296929i	0.903144	−	0.429339i	$-0.141253\pi$
$109$	2.25230	+	3.10003i	0.215732	+	0.296929i	−0.687412	+	0.726268i	$0.741253\pi$
$110$	−4.59116	+	8.06402i	−0.437749	+	0.768874i
$111$	6.08256	+	8.25168i	0.577331	+	0.783215i
$112$	0.505897	−	3.19411i	0.0478027	−	0.301815i
$113$	1.69932	−	10.7291i	0.159858	−	1.00930i	−0.769102	−	0.639126i	$-0.779296\pi$
$113$	1.69932	−	10.7291i	0.159858	−	1.00930i	0.928960	−	0.370179i	$-0.120704\pi$
$114$	8.16410	+	11.0755i	0.764638	+	1.03732i
$115$	0.838652	+	7.54152i	0.0782047	+	0.703250i
$116$	0.152115	+	0.209368i	0.0141235	+	0.0194393i
$117$	−0.912133	+	6.32200i	−0.0843267	+	0.584469i
$118$	−5.09498	−	5.09498i	−0.469031	−	0.469031i
$119$	−4.70456	+	14.4791i	−0.431266	+	1.32730i
$120$	−1.34111	+	3.63338i	−0.122426	+	0.331680i
$121$	−1.92253	−	5.91693i	−0.174775	−	0.537903i
$122$	−3.29921	+	6.47506i	−0.298696	+	0.586224i
$123$	−8.56992	−	1.29684i	−0.772724	−	0.116932i
$124$		−	1.95797i		−	0.175831i
$125$	−1.54896	+	11.0725i	−0.138543	+	0.990356i
$126$	−5.59378	+	7.92678i	−0.498334	+	0.706173i
$127$	8.37033	−	1.32573i	0.742747	−	0.117640i	0.226418	−	0.974030i	$-0.427298\pi$
$127$	8.37033	−	1.32573i	0.742747	−	0.117640i	0.516328	+	0.856391i	$0.327298\pi$
$128$	0.891007	+	0.453990i	0.0787546	+	0.0401275i
$129$	−15.7140	+	0.108344i	−1.38354	+	0.00953912i
$130$	4.75582	+	0.220495i	0.417113	+	0.0193387i
$131$	1.25649	+	0.408257i	0.109780	+	0.0356696i	0.363392	−	0.931636i	$-0.381619\pi$
$131$	1.25649	+	0.408257i	0.109780	+	0.0356696i	−0.253612	+	0.967306i	$0.581619\pi$
$132$	−3.30726	−	6.38171i	−0.287860	−	0.555457i
$133$	22.8901	−	11.6631i	1.98482	−	1.01132i
$134$	−3.46115	+	2.51467i	−0.298998	+	0.217235i
$135$	8.42382	−	8.00246i	0.725007	−	0.688742i
$136$	−3.80859	−	2.76710i	−0.326584	−	0.237277i
$137$	−11.0215	−	1.74563i	−0.941627	−	0.149139i	−0.333296	−	0.942822i	$-0.608161\pi$
$137$	−11.0215	−	1.74563i	−0.941627	−	0.149139i	−0.608331	+	0.793683i	$0.708161\pi$
$138$	−5.25529	−	2.63222i	−0.447360	−	0.224070i
$139$	−8.50366	+	11.7043i	−0.721271	+	0.992744i	0.278210	+	0.960520i	$0.410259\pi$
$139$	−8.50366	+	11.7043i	−0.721271	+	0.992744i	−0.999481	+	0.0322239i	$0.989741\pi$
$140$	6.28415	+	3.57781i	0.531108	+	0.302380i
$141$	−2.22966	−	6.70455i	−0.187771	−	0.564625i
$142$	4.92286	+	9.66166i	0.413117	+	0.810788i
$143$	−6.24779	+	6.24779i	−0.522466	+	0.522466i
$144$	−1.79665	−	2.40251i	−0.149721	−	0.200209i
$145$	−0.558047	+	0.153141i	−0.0463433	+	0.0127176i
$146$	0.771027	−	0.250522i	0.0638106	−	0.0207333i
$147$	4.26457	+	4.20617i	0.351736	+	0.346919i
$148$	0.925865	+	5.84568i	0.0761057	+	0.480512i
$149$	0.726481			0.0595157			0.0297578	−	0.999557i	$-0.490526\pi$
$149$	0.726481			0.0595157			0.0297578	+	0.999557i	$0.490526\pi$
$150$	−6.54450	−	5.67182i	−0.534356	−	0.463102i
$151$	6.70958			0.546018			0.273009	−	0.962012i	$-0.411981\pi$
$151$	6.70958			0.546018			0.273009	+	0.962012i	$0.411981\pi$
$152$	1.24271	+	7.84617i	0.100797	+	0.636408i
$153$	6.58463	+	12.4941i	0.532336	+	1.01009i
$154$	−12.7635	+	4.14712i	−1.02851	+	0.334184i
$155$	4.09674	+	1.54431i	0.329058	+	0.124042i
$156$	−2.14701	+	2.99837i	−0.171899	+	0.240062i
$157$	−3.31755	+	3.31755i	−0.264770	+	0.264770i	−0.826988	−	0.562219i	$-0.809948\pi$
$157$	−3.31755	+	3.31755i	−0.264770	+	0.264770i	0.562219	+	0.826988i	$0.309948\pi$
$158$	1.88056	+	3.69082i	0.149610	+	0.293626i
$159$	−11.3739	+	3.78248i	−0.902006	+	0.299970i
$160$	−1.65267	+	1.50621i	−0.130655	+	0.119077i
$161$	−6.45046	+	8.87829i	−0.508367	+	0.699708i
$162$	1.65249	+	8.84699i	0.129832	+	0.695085i
$163$	−2.78576	−	0.441222i	−0.218198	−	0.0345592i	0.0463782	−	0.998924i	$-0.485232\pi$
$163$	−2.78576	−	0.441222i	−0.218198	−	0.0345592i	−0.264576	+	0.964365i	$0.585232\pi$
$164$	−4.04846	−	2.94138i	−0.316132	−	0.229683i
$165$	15.9613	−	1.88646i	1.24258	−	0.146861i
$166$	9.27021	−	6.73520i	0.719508	−	0.522753i
$167$	12.5922	−	6.41606i	0.974416	−	0.496490i	0.107100	−	0.994248i	$-0.465843\pi$
$167$	12.5922	−	6.41606i	0.974416	−	0.496490i	0.867316	+	0.497759i	$0.165843\pi$
$168$	−4.97316	+	2.57729i	−0.383687	+	0.198842i
$169$	−8.05232	−	2.61636i	−0.619409	−	0.201258i
$170$	8.79370	−	5.78638i	0.674446	−	0.443795i
$171$	7.05124	−	22.7649i	0.539221	−	1.74087i
$172$	−8.08382	−	4.11891i	−0.616385	−	0.314064i
$173$	−23.5254	+	3.72606i	−1.78860	+	0.283287i	−0.960701	−	0.277586i	$-0.910466\pi$
$173$	−23.5254	+	3.72606i	−1.78860	+	0.283287i	−0.827902	+	0.560873i	$0.810466\pi$
$174$	0.135572	−	0.427249i	0.0102777	−	0.0323897i
$175$	−12.4425	+	10.3267i	−0.940566	+	0.780622i
$176$		−	4.14987i		−	0.312808i
$177$	−1.86729	+	12.3396i	−0.140354	+	0.927502i
$178$	7.32443	−	14.3750i	0.548989	−	1.07745i
$179$	−5.27300	−	16.2286i	−0.394122	−	1.21298i	−0.929643	−	0.368462i	$-0.879884\pi$
$179$	−5.27300	−	16.2286i	−0.394122	−	1.21298i	0.535520	−	0.844522i	$-0.320116\pi$
$180$	6.44395	−	1.86428i	0.480303	−	0.138955i
$181$	4.21277	−	12.9656i	0.313133	−	0.963723i	−0.663384	−	0.748279i	$-0.730880\pi$
$181$	4.21277	−	12.9656i	0.313133	−	0.963723i	0.976516	−	0.215444i	$-0.0691198\pi$
$182$	4.86879	+	4.86879i	0.360899	+	0.360899i
$183$	12.4182	−	2.05471i	0.917980	−	0.151889i
$184$	−1.99462	−	2.74537i	−0.147046	−	0.202391i
$185$	−12.9614	−	2.67346i	−0.952944	−	0.196556i
$186$	−2.72981	+	2.01222i	−0.200159	+	0.147543i
$187$	−3.05614	+	19.2957i	−0.223487	+	1.41104i
$188$	0.638146	−	4.02909i	0.0465415	−	0.293852i
$189$	16.8004	−	0.347546i	1.22205	−	0.0252802i
$190$	−17.3970	−	3.58835i	−1.26211	−	0.260326i
$191$	2.54587	+	3.50409i	0.184213	+	0.253547i	0.891129	−	0.453750i	$-0.149914\pi$
$191$	2.54587	+	3.50409i	0.184213	+	0.253547i	−0.706916	+	0.707297i	$0.749914\pi$
$192$	−0.282741	−	1.70882i	−0.0204051	−	0.123323i
$193$	−3.55219	−	3.55219i	−0.255692	−	0.255692i	0.567607	−	0.823299i	$-0.307869\pi$
$193$	−3.55219	−	3.55219i	−0.255692	−	0.255692i	−0.823299	+	0.567607i	$0.807869\pi$
$194$	0.101509	−	0.312414i	0.00728794	−	0.0224300i
$195$	−4.58019	−	6.85720i	−0.327994	−	0.491054i
$196$	1.06866	+	3.28899i	0.0763326	+	0.234928i
$197$	5.35950	−	10.5186i	0.381849	−	0.749421i	−0.617460	−	0.786603i	$-0.711838\pi$
$197$	5.35950	−	10.5186i	0.381849	−	0.749421i	0.999309	+	0.0371819i	$0.0118381\pi$
$198$	−5.49851	+	11.1696i	−0.390762	+	0.793786i
$199$			21.2504i			1.50640i	0.657791	+	0.753200i	$0.271491\pi$
$199$			21.2504i			1.50640i	−0.657791	+	0.753200i	$0.728509\pi$
$200$	−1.84800	−	4.64595i	−0.130673	−	0.328519i
$201$	7.06304	+	2.24120i	0.498188	+	0.158082i
$202$	−1.15869	+	0.183519i	−0.0815254	+	0.0129124i
$203$	−0.745698	−	0.379952i	−0.0523377	−	0.0266674i
$204$	0.0562179	+	8.15375i	0.00393604	+	0.570876i
$205$	9.34753	−	6.15081i	0.652860	−	0.429591i
$206$	−9.34696	−	3.03701i	−0.651234	−	0.211599i
$207$	1.73106	+	10.0321i	0.120317	+	0.697281i
$208$	−1.89709	+	0.966615i	−0.131539	+	0.0670227i
$209$	26.6704	−	19.3772i	1.84483	−	1.34035i
$210$	−1.47009	−	12.4383i	−0.101446	−	0.858328i
$211$	−13.9066	−	10.1037i	−0.957368	−	0.695568i	−0.00482966	−	0.999988i	$-0.501537\pi$
$211$	−13.9066	−	10.1037i	−0.957368	−	0.695568i	−0.952538	+	0.304420i	$0.901537\pi$
$212$	−6.83510	−	1.08257i	−0.469437	−	0.0743515i
$213$	8.41106	−	16.7929i	0.576317	−	1.15063i
$214$	7.08956	−	9.75794i	0.484632	−	0.667039i
$215$	14.9941	−	13.6654i	1.02259	−	0.931973i
$216$	−1.50315	+	4.97399i	−0.102276	+	0.338437i
$217$	2.87463	+	5.64177i	0.195142	+	0.382988i
$218$	2.70953	−	2.70953i	0.183512	−	0.183512i
$219$	−1.14167	−	0.817506i	−0.0771470	−	0.0552420i
$220$	8.68295	+	3.27314i	0.585405	+	0.220675i
$221$	9.53279	−	3.09739i	0.641245	−	0.208353i
$222$	7.19857	−	7.29852i	0.483136	−	0.489845i
$223$	1.41010	+	8.90303i	0.0944273	+	0.596191i	0.988844	+	0.148956i	$0.0475912\pi$
$223$	1.41010	+	8.90303i	0.0944273	+	0.596191i	−0.894417	+	0.447235i	$0.852409\pi$
$224$	−3.23392			−0.216075
$225$	−1.18184	+	14.9534i	−0.0787890	+	0.996891i
$226$	−10.8628			−0.722582
$227$	0.146769	+	0.926664i	0.00974142	+	0.0615049i	0.992080	−	0.125606i	$-0.0400876\pi$
$227$	0.146769	+	0.926664i	0.00974142	+	0.0615049i	−0.982339	+	0.187111i	$0.940088\pi$
$228$	9.66203	−	9.79618i	0.639883	−	0.648768i
$229$	12.7060	−	4.12842i	0.839634	−	0.272814i	0.142536	−	0.989790i	$-0.454474\pi$
$229$	12.7060	−	4.12842i	0.839634	−	0.272814i	0.697098	+	0.716976i	$0.254474\pi$
$230$	7.31747	−	2.00808i	0.482500	−	0.132409i
$231$	18.8991	+	13.5329i	1.24347	+	0.890402i
$232$	0.182994	−	0.182994i	0.0120142	−	0.0120142i
$233$	−7.94675	−	15.5964i	−0.520609	−	1.02175i	−0.990303	−	0.138924i	$-0.955636\pi$
$233$	−7.94675	−	15.5964i	−0.520609	−	1.02175i	0.469694	−	0.882829i	$-0.344364\pi$
$234$	6.38685	−	0.0880754i	0.417522	−	0.00575767i
$235$	7.92692	+	4.51310i	0.517095	+	0.294402i
$236$	−4.23522	+	5.82928i	−0.275689	+	0.379454i
$237$	3.21308	−	6.41499i	0.208712	−	0.416698i
$238$	15.0368	+	2.38160i	0.974693	+	0.154376i
$239$	−22.7805	−	16.5510i	−1.47354	−	1.07059i	−0.979567	−	0.201119i	$-0.935542\pi$
$239$	−22.7805	−	16.5510i	−1.47354	−	1.07059i	−0.493978	−	0.869474i	$-0.664458\pi$
$240$	3.79844	+	0.756210i	0.245188	+	0.0488132i
$241$	−24.2497	+	17.6185i	−1.56206	+	1.13491i	−0.627771	+	0.778398i	$0.716032\pi$
$241$	−24.2497	+	17.6185i	−1.56206	+	1.13491i	−0.934293	+	0.356507i	$0.883968\pi$
$242$	−5.54333	+	2.82447i	−0.356339	+	0.181564i
$243$	10.6362	−	11.3961i	0.682315	−	0.731058i
$244$	6.91145	+	2.24567i	0.442460	+	0.143764i
$245$	−7.72457	−	0.358136i	−0.493505	−	0.0228805i
$246$	0.0597585	+	8.66728i	0.00381006	+	0.552606i
$247$	−15.0704	−	7.67876i	−0.958908	−	0.488588i
$248$	−1.93386	+	0.306293i	−0.122800	+	0.0194496i
$249$	−18.9174	−	6.00274i	−1.19884	−	0.380408i
$250$	11.1785	−	0.202237i	0.706991	−	0.0127906i
$251$			4.80121i			0.303050i	0.988453	+	0.151525i	$0.0484184\pi$
$251$			4.80121i			0.303050i	−0.988453	+	0.151525i	$0.951582\pi$
$252$	8.70425	+	4.28489i	0.548316	+	0.269923i
$253$	−6.39328	+	12.5475i	−0.401942	+	0.788856i
$254$	−2.61882	−	8.05989i	−0.164319	−	0.505722i
$255$	−17.1048	−	6.31350i	−1.07114	−	0.395367i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	1.72232	+	1.72232i	0.107435	+	0.107435i	0.758781	−	0.651346i	$-0.225795\pi$
$257$	1.72232	+	1.72232i	0.107435	+	0.107435i	−0.651346	+	0.758781i	$0.725795\pi$
$258$	2.56522	+	15.5036i	0.159703	+	0.965209i
$259$	−11.2503	−	15.4847i	−0.699059	−	0.962172i
$260$	−0.526194	−	4.73176i	−0.0326332	−	0.293451i
$261$	−0.735002	+	0.250073i	−0.0454955	+	0.0154791i
$262$	0.206673	−	1.30488i	0.0127683	−	0.0806159i
$263$	−1.32670	+	8.37644i	−0.0818077	+	0.516514i	0.912423	+	0.409249i	$0.134209\pi$
$263$	−1.32670	+	8.37644i	−0.0818077	+	0.516514i	−0.994230	+	0.107265i	$0.965791\pi$
$264$	−5.78578	+	4.26487i	−0.356090	+	0.262484i
$265$	7.65619	−	13.4475i	0.470316	−	0.826075i
$266$	−15.1003	−	20.7838i	−0.925859	−	1.27434i
$267$	−27.5691	+	4.56158i	−1.68720	+	0.279164i
$268$	3.02516	+	3.02516i	0.184791	+	0.184791i
$269$	−9.64838	+	29.6947i	−0.588272	+	1.81052i	−0.00255910	+	0.999997i	$0.500815\pi$
$269$	−9.64838	+	29.6947i	−0.588272	+	1.81052i	−0.585713	+	0.810519i	$0.699185\pi$
$270$	−9.22171	−	7.06825i	−0.561215	−	0.430160i
$271$	−4.41195	−	13.5786i	−0.268007	−	0.824840i	−0.990985	−	0.133969i	$-0.957228\pi$
$271$	−4.41195	−	13.5786i	−0.268007	−	0.824840i	0.722979	−	0.690870i	$-0.242772\pi$
$272$	−2.13724	+	4.19457i	−0.129589	+	0.254333i
$273$	1.78439	−	11.7918i	0.107996	−	0.713673i
$274$			11.1588i			0.674130i
$275$	−13.6971	+	15.5861i	−0.825964	+	0.939876i
$276$	−1.77771	+	5.60236i	−0.107005	+	0.337222i
$277$	−1.01738	+	0.161137i	−0.0611283	+	0.00968177i	−0.186924	−	0.982374i	$-0.559852\pi$
$277$	−1.01738	+	0.161137i	−0.0611283	+	0.00968177i	0.125795	+	0.992056i	$0.459852\pi$
$278$	12.8904	+	6.56801i	0.773118	+	0.393923i
$279$	5.61091	+	1.73793i	0.335916	+	0.104047i
$280$	2.55070	−	6.76647i	0.152433	−	0.404374i
$281$	−9.41859	−	3.06028i	−0.561866	−	0.182561i	0.0142948	−	0.999898i	$-0.495450\pi$
$281$	−9.41859	−	3.06028i	−0.561866	−	0.182561i	−0.576160	+	0.817337i	$0.695450\pi$
$282$	−6.27321	+	3.25104i	−0.373564	+	0.193596i
$283$	−20.4282	+	10.4087i	−1.21433	+	0.618733i	−0.939430	−	0.342740i	$-0.888645\pi$
$283$	−20.4282	+	10.4087i	−1.21433	+	0.618733i	−0.274901	+	0.961473i	$0.588645\pi$
$284$	8.77260	−	6.37367i	0.520558	−	0.378208i
$285$	12.8762	+	27.9428i	0.762722	+	1.65519i
$286$	7.14824	+	5.19350i	0.422684	+	0.307098i
$287$	15.9839	+	2.53160i	0.943498	+	0.149435i
$288$	−2.09187	+	2.15037i	−0.123265	+	0.126712i
$289$	3.03429	−	4.17635i	0.178488	−	0.245667i
$290$	0.238553	+	0.527220i	0.0140083	+	0.0309594i
$291$	−0.539891	+	0.179546i	−0.0316490	+	0.0105252i
$292$	−0.368053	−	0.722344i	−0.0215387	−	0.0422720i
$293$	15.8273	−	15.8273i	0.924643	−	0.924643i	−0.0727102	−	0.997353i	$-0.523165\pi$
$293$	15.8273	−	15.8273i	0.924643	−	0.924643i	0.997353	+	0.0727102i	$0.0231648\pi$
$294$	3.48726	−	4.87006i	0.203381	−	0.284027i
$295$	−8.85640	−	13.4593i	−0.515640	−	0.783630i
$296$	5.62888	−	1.82893i	0.327172	−	0.106305i
$297$	21.2236	−	3.81302i	1.23152	−	0.221254i
$298$	−0.113647	−	0.717537i	−0.00658338	−	0.0415658i
$299$	7.22519			0.417844
$300$	−4.57821	+	7.35119i	−0.264323	+	0.424421i
$301$	29.3403			1.69115
$302$	−1.04961	−	6.62697i	−0.0603982	−	0.381339i
$303$	1.44667	+	1.42685i	0.0831087	+	0.0819706i
$304$	7.55516	−	2.45482i	0.433318	−	0.140794i
$305$	−10.1500	+	12.6899i	−0.581187	+	0.726621i
$306$	11.3102	−	8.45807i	0.646563	−	0.483516i
$307$	17.9634	−	17.9634i	1.02523	−	1.02523i	0.0255531	−	0.999673i	$-0.491865\pi$
$307$	17.9634	−	17.9634i	1.02523	−	1.02523i	0.999673	−	0.0255531i	$-0.00813470\pi$
$308$	6.09271	+	11.9576i	0.347165	+	0.681349i
$309$	5.37175	+	16.1528i	0.305588	+	0.918898i
$310$	0.884428	−	4.28788i	0.0502322	−	0.243535i
$311$	0.0645141	−	0.0887961i	0.00365826	−	0.00503516i	−0.807184	−	0.590300i	$-0.799009\pi$
$311$	0.0645141	−	0.0887961i	0.00365826	−	0.00503516i	0.810842	+	0.585265i	$0.199009\pi$
$312$	3.29732	+	1.65153i	0.186674	+	0.0934996i
$313$	−23.8631	−	3.77954i	−1.34882	−	0.213633i	−0.560122	−	0.828410i	$-0.689246\pi$
$313$	−23.8631	−	3.77954i	−1.34882	−	0.213633i	−0.788701	+	0.614778i	$0.789246\pi$
$314$	3.79569	+	2.75773i	0.214203	+	0.155628i
$315$	−15.8308	+	14.8326i	−0.891964	+	0.835724i
$316$	3.35119	−	2.43478i	0.188519	−	0.136967i
$317$	15.5247	−	7.91021i	0.871951	−	0.444281i	0.0400453	−	0.999198i	$-0.487250\pi$
$317$	15.5247	−	7.91021i	0.871951	−	0.444281i	0.831906	+	0.554916i	$0.187250\pi$
$318$	5.51518	+	10.6421i	0.309276	+	0.596780i
$319$	−1.02139	−	0.331871i	−0.0571871	−	0.0185812i
$320$	1.74620	+	1.39670i	0.0976158	+	0.0780779i
$321$	−20.8906	+	0.144035i	−1.16600	+	0.00803925i
$322$	9.77806	+	4.98217i	0.544910	+	0.277646i
$323$	−36.9372	+	5.85028i	−2.05524	+	0.325518i
$324$	8.47956	−	3.01612i	0.471087	−	0.167562i
$325$	10.3155	+	2.63112i	0.572201	+	0.145948i
$326$			2.82049i			0.156212i
$327$	−6.56225	−	0.993029i	−0.362893	−	0.0549146i
$328$	−2.27185	+	4.45875i	−0.125442	+	0.246193i
$329$	4.07661	+	12.5465i	0.224751	+	0.691712i
$330$	−4.36013	−	15.4697i	−0.240018	−	0.851577i
$331$	−6.00597	+	18.4845i	−0.330118	+	1.01600i	0.638959	+	0.769240i	$0.279365\pi$
$331$	−6.00597	+	18.4845i	−0.330118	+	1.01600i	−0.969077	+	0.246758i	$0.920635\pi$
$332$	−8.10246	−	8.10246i	−0.444680	−	0.444680i
$333$	−17.5737	−	2.53552i	−0.963032	−	0.138945i
$334$	−8.30693	−	11.4335i	−0.454535	−	0.625613i
$335$	−8.71571	+	3.94363i	−0.476190	+	0.215463i
$336$	3.32354	+	4.50875i	0.181314	+	0.245973i
$337$	1.59645	−	10.0796i	0.0869642	−	0.549070i	−0.905285	−	0.424805i	$-0.860343\pi$
$337$	1.59645	−	10.0796i	0.0869642	−	0.549070i	0.992249	−	0.124265i	$-0.0396574\pi$
$338$	−1.32448	+	8.36247i	−0.0720425	+	0.454858i
$339$	11.1638	+	15.1450i	0.606335	+	0.822562i
$340$	−7.09077	−	7.78024i	−0.384551	−	0.421943i
$341$	4.77593	+	6.57351i	0.258631	+	0.355976i
$342$	−23.5877	−	3.40321i	−1.27548	−	0.184025i
$343$	8.09903	+	8.09903i	0.437306	+	0.437306i
$344$	−2.80361	+	8.62863i	−0.151161	+	0.465225i
$345$	−10.3199	−	8.13834i	−0.555606	−	0.438153i
$346$	7.36036	+	22.6529i	0.395696	+	1.21783i
$347$	−0.353015	+	0.692830i	−0.0189508	+	0.0371931i	−0.900288	−	0.435295i	$-0.856644\pi$
$347$	−0.353015	+	0.692830i	−0.0189508	+	0.0371931i	0.881337	+	0.472488i	$0.156644\pi$
$348$	−0.443197	−	0.0670665i	−0.0237578	−	0.00359514i
$349$		−	17.4564i		−	0.934420i	−0.884146	−	0.467210i	$-0.845259\pi$
$349$		−	17.4564i		−	0.934420i	0.884146	−	0.467210i	$-0.154741\pi$
$350$	12.1460	+	10.6739i	0.649229	+	0.570543i
$351$	−6.68663	−	8.81407i	−0.356906	−	0.470460i
$352$	−4.09878	+	0.649183i	−0.218466	+	0.0346016i
$353$	17.8715	+	9.10601i	0.951207	+	0.484664i	0.859508	−	0.511123i	$-0.170770\pi$
$353$	17.8715	+	9.10601i	0.951207	+	0.484664i	0.0916989	+	0.995787i	$0.470770\pi$
$354$	12.4798	−	0.0860448i	0.663294	−	0.00457323i
$355$	6.41666	+	23.3824i	0.340561	+	1.24101i
$356$	−15.3438	−	4.98551i	−0.813220	−	0.264231i
$357$	−12.1331	−	23.4120i	−0.642150	−	1.23910i
$358$	−15.2039	+	7.74680i	−0.803553	+	0.409431i
$359$	−8.90157	+	6.46737i	−0.469807	+	0.341335i	−0.797366	−	0.603496i	$-0.793774\pi$
$359$	−8.90157	+	6.46737i	−0.469807	+	0.341335i	0.327559	+	0.944831i	$0.393774\pi$
$360$	−2.84939	−	6.07297i	−0.150176	−	0.320074i
$361$	35.6830	+	25.9252i	1.87805	+	1.36449i
$362$	−13.4650	−	2.13264i	−0.707703	−	0.112089i
$363$	9.63484	+	4.82581i	0.505698	+	0.253289i
$364$	4.04720	−	5.57050i	0.212131	−	0.291973i
$365$	1.80169	−	0.200356i	0.0943046	−	0.0104871i
$366$	−3.97205	−	11.9439i	−0.207622	−	0.624317i
$367$	−2.78767	−	5.47112i	−0.145515	−	0.285590i	0.806732	−	0.590917i	$-0.201234\pi$
$367$	−2.78767	−	5.47112i	−0.145515	−	0.285590i	−0.952247	+	0.305327i	$0.901234\pi$
$368$	−2.39954	+	2.39954i	−0.125085	+	0.125085i
$369$	12.0226	−	8.99077i	0.625869	−	0.468041i
$370$	−0.612925	+	13.2201i	−0.0318645	+	0.687279i
$371$	21.2844	−	6.91571i	1.10503	−	0.359046i
$372$	2.41448	+	2.38142i	0.125185	+	0.123471i
$373$	−0.780034	−	4.92494i	−0.0403886	−	0.255004i	0.959230	−	0.282627i	$-0.0912060\pi$
$373$	−0.780034	−	4.92494i	−0.0403886	−	0.255004i	−0.999618	+	0.0276236i	$0.991206\pi$
$374$	19.5363			1.01020
$375$	−11.7702	−	15.3773i	−0.607812	−	0.794081i
$376$	−4.07932			−0.210375
$377$	0.0861969	+	0.544226i	0.00443937	+	0.0280291i
$378$	−2.97142	−	16.5391i	−0.152833	−	0.850682i
$379$	12.3464	−	4.01158i	0.634190	−	0.206061i	0.0257600	−	0.999668i	$-0.491799\pi$
$379$	12.3464	−	4.01158i	0.634190	−	0.206061i	0.608430	+	0.793607i	$0.291799\pi$
$380$	−0.822677	+	17.7442i	−0.0422025	+	0.910258i
$381$	−8.54576	+	11.9344i	−0.437812	+	0.611418i
$382$	3.06269	−	3.06269i	0.156701	−	0.156701i
$383$	10.6277	+	20.8580i	0.543049	+	1.06579i	0.985607	+	0.169054i	$0.0540712\pi$
$383$	10.6277	+	20.8580i	0.543049	+	1.06579i	−0.442558	+	0.896740i	$0.645929\pi$
$384$	−1.64355	+	0.546578i	−0.0838720	+	0.0278924i
$385$	−29.8250	+	3.31668i	−1.52002	+	0.169033i
$386$	−2.95277	+	4.06414i	−0.150292	+	0.206859i
$387$	18.9789	−	19.5096i	0.964749	−	0.991729i
$388$	−0.324447	−	0.0513873i	−0.0164713	−	0.00260880i
$389$	−13.2509	−	9.62737i	−0.671849	−	0.488127i	0.198794	−	0.980041i	$-0.436297\pi$
$389$	−13.2509	−	9.62737i	−0.671849	−	0.488127i	−0.870644	+	0.491914i	$0.836297\pi$
$390$	−6.05628	+	5.59651i	−0.306672	+	0.283390i
$391$	12.9243	−	9.39005i	0.653610	−	0.474875i
$392$	3.08132	−	1.57001i	0.155630	−	0.0792975i
$393$	−2.03168	+	1.05290i	−0.102484	+	0.0531116i
$394$	−11.2275	−	3.64805i	−0.565635	−	0.183786i
$395$	2.45121	+	8.93224i	0.123334	+	0.449430i
$396$	11.8922	+	3.68351i	0.597606	+	0.185103i
$397$	−9.95826	−	5.07399i	−0.499791	−	0.254656i	0.185874	−	0.982574i	$-0.440488\pi$
$397$	−9.95826	−	5.07399i	−0.499791	−	0.254656i	−0.685665	+	0.727918i	$0.740488\pi$
$398$	20.9888	−	3.32429i	1.05207	−	0.166632i
$399$	−13.4581	+	42.4127i	−0.673749	+	2.12329i
$400$	−4.29966	+	2.55204i	−0.214983	+	0.127602i
$401$			1.92108i			0.0959344i	0.998849	+	0.0479672i	$0.0152743\pi$
$401$			1.92108i			0.0959344i	−0.998849	+	0.0479672i	$0.984726\pi$
$402$	1.10871	−	7.32668i	0.0552972	−	0.365422i
$403$	1.89260	−	3.71444i	0.0942771	−	0.185029i
$404$	0.362519	+	1.11572i	0.0180360	+	0.0555091i
$405$	−0.377345	+	20.1211i	−0.0187504	+	0.999824i
$406$	−0.258621	+	0.795954i	−0.0128352	+	0.0395026i
$407$	−17.3674	−	17.3674i	−0.860870	−	0.860870i
$408$	8.04457	−	1.33105i	0.398265	−	0.0658969i
$409$	17.6951	+	24.3552i	0.874965	+	1.20429i	0.977790	+	0.209586i	$0.0672117\pi$
$409$	17.6951	+	24.3552i	0.874965	+	1.20429i	−0.102825	+	0.994699i	$0.532788\pi$
$410$	−7.53736	−	8.27025i	−0.372244	−	0.408439i
$411$	15.5577	−	11.4681i	0.767406	−	0.565678i
$412$	−1.53743	+	9.70698i	−0.0757439	+	0.478228i
$413$	3.64518	−	23.0148i	0.179368	−	1.13248i
$414$	9.63781	−	3.27911i	0.473673	−	0.161160i
$415$	23.3438	−	10.5625i	1.14590	−	0.518490i
$416$	1.25148	+	1.72252i	0.0613591	+	0.0844535i
$417$	−4.09049	−	24.7220i	−0.200312	−	1.21064i
$418$	−23.3108	−	23.3108i	−1.14017	−	1.14017i
$419$	3.90949	−	12.0322i	0.190991	−	0.587809i	−0.809009	−	0.587796i	$-0.799996\pi$
$419$	3.90949	−	12.0322i	0.190991	−	0.587809i	1.00000		1.33744e-5i	$-4.25721e-6\pi$
$420$	−12.0552	+	3.39778i	−0.588235	+	0.165794i
$421$	1.01762	+	3.13191i	0.0495958	+	0.152640i	0.972787	−	0.231700i	$-0.0744289\pi$
$421$	1.01762	+	3.13191i	0.0495958	+	0.152640i	−0.923191	+	0.384340i	$0.874429\pi$
$422$	−7.80385	+	15.3159i	−0.379886	+	0.745567i
$423$	10.9797	+	5.40503i	0.533849	+	0.262801i
$424$			6.92030i			0.336080i
$425$	21.8717	−	8.69980i	1.06093	−	0.422002i
$426$	−17.9019	−	5.68053i	−0.867350	−	0.275222i
$427$	−23.2120	+	3.67642i	−1.12331	+	0.177914i
$428$	−10.7469	−	5.47580i	−0.519469	−	0.264683i
$429$	−0.105514	−	15.3035i	−0.00509425	−	0.738862i
$430$	−15.8428	−	12.6718i	−0.764006	−	0.611089i
$431$	20.9947	+	6.82158i	1.01128	+	0.328584i	0.767363	−	0.641213i	$-0.221568\pi$
$431$	20.9947	+	6.82158i	1.01128	+	0.328584i	0.243914	+	0.969797i	$0.421568\pi$
$432$	5.14789	+	0.706538i	0.247678	+	0.0339933i
$433$	4.32426	−	2.20332i	0.207811	−	0.105885i	−0.346988	−	0.937870i	$-0.612795\pi$
$433$	4.32426	−	2.20332i	0.207811	−	0.105885i	0.554798	+	0.831985i	$0.312795\pi$
$434$	5.12262	−	3.72180i	0.245894	−	0.178652i
$435$	0.489890	−	0.874422i	0.0234884	−	0.0419253i
$436$	−3.10003	−	2.25230i	−0.148465	−	0.107866i
$437$	−26.6256	−	4.21709i	−1.27368	−	0.201731i
$438$	−0.628845	+	1.25550i	−0.0300474	+	0.0599902i
$439$	18.6603	−	25.6837i	0.890609	−	1.22582i	−0.0827589	−	0.996570i	$-0.526373\pi$
$439$	18.6603	−	25.6837i	0.890609	−	1.22582i	0.973368	−	0.229249i	$-0.0736269\pi$
$440$	1.87453	−	9.08808i	0.0893647	−	0.433257i
$441$	−10.3738	+	0.143055i	−0.493988	+	0.00681215i
$442$	−4.55051	−	8.93089i	−0.216446	−	0.424799i
$443$	−7.52521	+	7.52521i	−0.357533	+	0.357533i	−0.862903	−	0.505370i	$-0.831356\pi$
$443$	−7.52521	+	7.52521i	−0.357533	+	0.357533i	0.505370	+	0.862903i	$0.331356\pi$
$444$	−8.33477	−	5.96820i	−0.395551	−	0.283238i
$445$	22.5336	−	28.1723i	1.06819	−	1.33549i
$446$	8.57283	−	2.78548i	0.405935	−	0.131896i
$447$	−0.883599	+	0.895868i	−0.0417928	+	0.0423731i
$448$	0.505897	+	3.19411i	0.0239014	+	0.150907i
$449$	25.0738			1.18331			0.591654	−	0.806192i	$-0.298475\pi$
$449$	25.0738			1.18331			0.591654	+	0.806192i	$0.298475\pi$
$450$	14.9541	−	1.17194i	0.704945	−	0.0552457i
$451$	20.7667			0.977865
$452$	1.69932	+	10.7291i	0.0799291	+	0.504652i
$453$	−8.16067	+	8.27398i	−0.383422	+	0.388746i
$454$	0.892296	−	0.289924i	0.0418775	−	0.0136068i
$455$	8.46323	+	12.8618i	0.396762	+	0.602969i
$456$	−11.1871	−	8.01061i	−0.523882	−	0.375131i
$457$	2.79354	−	2.79354i	0.130676	−	0.130676i	−0.638744	−	0.769420i	$-0.720546\pi$
$457$	2.79354	−	2.79354i	0.130676	−	0.130676i	0.769420	+	0.638744i	$0.220546\pi$
$458$	−6.06524	−	11.9037i	−0.283410	−	0.556224i
$459$	−23.4159	−	7.07633i	−1.09296	−	0.330295i
$460$	−3.12806	−	6.91325i	−0.145847	−	0.322332i
$461$	−1.72146	+	2.36939i	−0.0801764	+	0.110353i	−0.847221	−	0.531240i	$-0.821726\pi$
$461$	−1.72146	+	2.36939i	−0.0801764	+	0.110353i	0.767045	+	0.641593i	$0.221726\pi$
$462$	10.4098	−	20.7835i	0.484310	−	0.966935i
$463$	−29.8805	−	4.73261i	−1.38867	−	0.219943i	−0.583077	−	0.812417i	$-0.698151\pi$
$463$	−29.8805	−	4.73261i	−1.38867	−	0.219943i	−0.805589	+	0.592474i	$0.798151\pi$
$464$	−0.209368	−	0.152115i	−0.00971966	−	0.00706175i
$465$	−6.88713	+	3.17363i	−0.319383	+	0.147173i
$466$	−14.1612	+	10.2887i	−0.656006	+	0.476616i
$467$	29.7766	−	15.1719i	1.37790	−	0.702073i	0.401057	−	0.916053i	$-0.368643\pi$
$467$	29.7766	−	15.1719i	1.37790	−	0.702073i	0.976838	+	0.213980i	$0.0686428\pi$
$468$	−1.08611	−	6.29444i	−0.0502057	−	0.290961i
$469$	−13.1583	−	4.27538i	−0.607593	−	0.197419i
$470$	3.21749	−	8.53533i	0.148412	−	0.393705i
$471$	−0.0560274	−	8.12612i	−0.00258160	−	0.374432i
$472$	6.42005	+	3.27118i	0.295507	+	0.150568i
$473$	37.1869	−	5.88983i	1.70986	−	0.270815i
$474$	−6.83864	−	2.17000i	−0.314109	−	0.0996713i
$475$	−36.4781	−	15.7168i	−1.67373	−	0.721134i
$476$		−	15.2243i		−	0.697803i
$477$	9.16929	−	18.6263i	0.419833	−	0.852840i
$478$	−12.7835	+	25.0891i	−0.584706	+	1.14755i
$479$	−5.54891	−	17.0778i	−0.253536	−	0.780303i	−0.994115	−	0.108334i	$-0.965448\pi$
$479$	−5.54891	−	17.0778i	−0.253536	−	0.780303i	0.740579	−	0.671970i	$-0.234552\pi$
$480$	0.152693	−	3.86997i	0.00696945	−	0.176639i
$481$	−3.89408	+	11.9847i	−0.177555	+	0.546457i
$482$	21.1951	+	21.1951i	0.965408	+	0.965408i
$483$	−3.10285	−	18.7529i	−0.141184	−	0.853285i
$484$	3.65686	+	5.03324i	0.166221	+	0.228784i
$485$	0.363422	−	0.638323i	0.0165021	−	0.0289848i
$486$	−12.9196	−	8.72256i	−0.586047	−	0.395663i
$487$	−4.63925	+	29.2911i	−0.210225	+	1.32731i	0.626388	+	0.779511i	$0.284532\pi$
$487$	−4.63925	+	29.2911i	−0.210225	+	1.32731i	−0.836613	+	0.547794i	$0.815468\pi$
$488$	1.13683	−	7.17766i	0.0514619	−	0.324917i
$489$	3.93234	−	2.89865i	0.177827	−	0.131081i
$490$	0.854663	+	7.68550i	0.0386097	+	0.347195i
$491$	3.11567	+	4.28835i	0.140608	+	0.193531i	0.873513	−	0.486800i	$-0.161836\pi$
$491$	3.11567	+	4.28835i	0.140608	+	0.193531i	−0.732905	+	0.680331i	$0.761836\pi$
$492$	8.55122	−	1.41488i	0.385519	−	0.0637879i
$493$	0.861478	+	0.861478i	0.0387990	+	0.0387990i
$494$	−5.22669	+	16.0861i	−0.235160	+	0.723748i
$495$	−17.0869	+	21.9773i	−0.768001	+	0.987805i
$496$	0.605045	+	1.86214i	0.0271673	+	0.0836124i
$497$	−15.9201	+	31.2450i	−0.714116	+	1.40153i
$498$	−2.96951	+	19.6235i	−0.133067	+	0.879349i
$499$		−	6.85423i		−	0.306837i	−0.988161	−	0.153419i	$-0.950972\pi$
$499$		−	6.85423i		−	0.306837i	0.988161	−	0.153419i	$-0.0490283\pi$
$500$	−1.94845	−	11.0092i	−0.0871374	−	0.492349i
$501$	−7.40354	+	23.3319i	−0.330766	+	1.04239i
$502$	4.74210	−	0.751075i	0.211650	−	0.0335221i
$503$	−15.5468	−	7.92150i	−0.693198	−	0.353202i	0.0716346	−	0.997431i	$-0.477178\pi$
$503$	−15.5468	−	7.92150i	−0.693198	−	0.353202i	−0.764833	+	0.644229i	$0.777178\pi$
$504$	2.87050	−	9.26739i	0.127862	−	0.412802i
$505$	−2.62040	−	0.121490i	−0.116606	−	0.00540623i
$506$	13.3932	+	4.35170i	0.595399	+	0.193457i
$507$	13.0202	−	6.74759i	0.578247	−	0.299671i
$508$	−7.55098	+	3.84742i	−0.335021	+	0.170702i
$509$	−15.1140	+	10.9809i	−0.669914	+	0.486721i	−0.869997	−	0.493058i	$-0.835879\pi$
$509$	−15.1140	+	10.9809i	−0.669914	+	0.486721i	0.200082	+	0.979779i	$0.435879\pi$
$510$	−3.55999	+	17.8818i	−0.157639	+	0.791821i
$511$	2.12105	+	1.54103i	0.0938296	+	0.0681712i
$512$	−0.987688	−	0.156434i	−0.0436501	−	0.00691349i
$513$	19.4965	+	36.3836i	0.860793	+	1.60637i
$514$	1.43168	−	1.97054i	0.0631489	−	0.0869170i
$515$	−19.0977	−	10.8731i	−0.841545	−	0.479124i
$516$	14.9114	−	4.95893i	0.656438	−	0.218305i
$517$	7.68544	+	15.0835i	0.338005	+	0.663373i
$518$	−13.5341	+	13.5341i	−0.594655	+	0.594655i
$519$	24.0184	−	33.5425i	1.05429	−	1.47235i
$520$	−4.59119	+	1.25993i	−0.201337	+	0.0552514i
$521$	−39.6353	+	12.8783i	−1.73645	+	0.564208i	−0.994357	−	0.106086i	$-0.966168\pi$
$521$	−39.6353	+	12.8783i	−1.73645	+	0.564208i	−0.742096	+	0.670294i	$0.766168\pi$
$522$	0.361974	+	0.686833i	0.0158432	+	0.0300619i
$523$	−0.235880	−	1.48929i	−0.0103143	−	0.0651221i	0.981994	−	0.188910i	$-0.0604956\pi$
$523$	−0.235880	−	1.48929i	−0.0103143	−	0.0651221i	−0.992309	+	0.123788i	$0.960496\pi$
$524$	−1.32115			−0.0577146
$525$	2.39905	−	27.9036i	0.104703	−	1.21781i
$526$	8.48086			0.369783
$527$	−1.44193	−	9.10399i	−0.0628115	−	0.396576i
$528$	5.11745	+	5.04737i	0.222709	+	0.219659i
$529$	−10.9224	+	3.54889i	−0.474885	+	0.154299i
$530$	−14.4797	−	5.45827i	−0.628956	−	0.237092i
$531$	−12.9456	−	17.3110i	−0.561791	−	0.751233i
$532$	−18.1657	+	18.1657i	−0.787583	+	0.787583i
$533$	−4.83711	−	9.49337i	−0.209519	−	0.411203i
$534$	8.81818	+	26.5161i	0.381600	+	1.14746i
$535$	19.9336	−	18.1672i	0.861807	−	0.785435i
$536$	2.51467	−	3.46115i	0.108617	−	0.149499i
$537$	26.4259	+	13.2360i	1.14036	+	0.571174i
$538$	30.8384	+	4.88432i	1.32954	+	0.210578i
$539$	−11.6104	−	8.43547i	−0.500096	−	0.363341i
$540$	−5.53863	+	10.2139i	−0.238345	+	0.439536i
$541$	5.13325	−	3.72953i	0.220696	−	0.160345i	−0.471944	−	0.881629i	$-0.656448\pi$
$541$	5.13325	−	3.72953i	0.220696	−	0.160345i	0.692640	+	0.721284i	$0.256448\pi$
$542$	−12.7212	+	6.48178i	−0.546423	+	0.278416i
$543$	10.8647	+	20.9647i	0.466251	+	0.899680i
$544$	4.47727	+	1.45475i	0.191961	+	0.0623720i
$545$	7.15769	−	4.70986i	0.306602	−	0.201748i
$546$	−11.9258	+	0.0822249i	−0.510376	+	0.00351890i
$547$	38.9139	+	19.8276i	1.66384	+	0.847769i	0.994491	+	0.104820i	$0.0334268\pi$
$547$	38.9139	+	19.8276i	1.66384	+	0.847769i	0.669349	+	0.742948i	$0.266573\pi$
$548$	11.0215	−	1.74563i	0.470813	−	0.0745695i
$549$	−12.5701	+	17.8127i	−0.536479	+	0.760228i
$550$	17.5369	+	11.0902i	0.747776	+	0.472889i
$551$		−	2.05584i		−	0.0875819i
$552$	5.81148	+	0.879419i	0.247353	+	0.0374306i
$553$	−6.08160	+	11.9358i	−0.258616	+	0.507562i
$554$	0.318306	+	0.979644i	0.0135235	+	0.0416211i
$555$	19.0614	−	12.7319i	0.809113	−	0.540438i
$556$	4.47064	−	13.7592i	0.189597	−	0.583520i
$557$	20.2280	+	20.2280i	0.857087	+	0.857087i	0.990994	−	0.133907i	$-0.0427523\pi$
$557$	20.2280	+	20.2280i	0.857087	+	0.857087i	−0.133907	+	0.990994i	$0.542752\pi$
$558$	0.838796	−	5.81370i	0.0355091	−	0.246113i
$559$	−11.3543	−	15.6279i	−0.480237	−	0.660989i
$560$	−7.08218	−	1.46079i	−0.299277	−	0.0617295i
$561$	−20.0776	−	27.2376i	−0.847678	−	1.14997i
$562$	−1.54922	+	9.78136i	−0.0653497	+	0.412602i
$563$	−5.05943	+	31.9440i	−0.213230	+	1.34628i	0.616166	+	0.787616i	$0.288685\pi$
$563$	−5.05943	+	31.9440i	−0.213230	+	1.34628i	−0.829396	+	0.558662i	$0.811315\pi$
$564$	4.19236	+	5.68741i	0.176530	+	0.239483i
$565$	−23.7892	−	4.90681i	−1.00082	−	0.206431i
$566$	13.4762	+	18.5484i	0.566448	+	0.779649i
$567$	−20.0052	+	21.1402i	−0.840140	+	0.887806i
$568$	−7.66753	−	7.66753i	−0.321723	−	0.321723i
$569$	−6.31946	+	19.4493i	−0.264925	+	0.815356i	0.726785	+	0.686865i	$0.241014\pi$
$569$	−6.31946	+	19.4493i	−0.264925	+	0.815356i	−0.991711	+	0.128492i	$0.958986\pi$
$570$	25.5845	−	17.0889i	1.07162	−	0.715776i
$571$	4.67018	+	14.3733i	0.195441	+	0.601505i	0.999971	+	0.00759356i	$0.00241713\pi$
$571$	4.67018	+	14.3733i	0.195441	+	0.601505i	−0.804530	+	0.593912i	$0.797583\pi$
$572$	4.01133	−	7.87267i	0.167722	−	0.329173i
$573$	−7.41758	−	1.12246i	−0.309874	−	0.0468915i
$574$		−	16.1831i		−	0.675470i
$575$	16.9321	−	1.09227i	0.706117	−	0.0455508i
$576$	2.45113	+	1.72972i	0.102131	+	0.0720717i
$577$	−11.1059	+	1.75900i	−0.462343	+	0.0732279i	−0.383261	−	0.923640i	$-0.625199\pi$
$577$	−11.1059	+	1.75900i	−0.462343	+	0.0732279i	−0.0790822	+	0.996868i	$0.525199\pi$
$578$	−4.59960	−	2.34361i	−0.191318	−	0.0974814i
$579$	8.70085	−	0.0599899i	0.361595	−	0.00249310i
$580$	0.483411	−	0.318092i	0.0200726	−	0.0132080i
$581$	35.2426	+	11.4510i	1.46211	+	0.475068i
$582$	0.261793	+	0.505157i	0.0108517	+	0.0209394i
$583$	25.5883	−	13.0379i	1.05976	−	0.539973i
$584$	−0.655875	+	0.476521i	−0.0271403	+	0.0197186i
$585$	14.0268	+	2.69211i	0.579936	+	0.111305i
$586$	−18.1084	−	13.1565i	−0.748052	−	0.543491i
$587$	−3.10689	−	0.492083i	−0.128235	−	0.0203104i	0.0919870	−	0.995760i	$-0.470678\pi$
$587$	−3.10689	−	0.492083i	−0.128235	−	0.0203104i	−0.220222	+	0.975450i	$0.570678\pi$
$588$	−5.35562	−	2.68248i	−0.220862	−	0.110624i
$589$	−9.14242	+	12.5835i	−0.376707	+	0.518493i
$590$	−11.9081	+	10.8529i	−0.490250	+	0.446805i
$591$	6.45253	+	19.4026i	0.265421	+	0.798117i
$592$	−2.68697	−	5.27347i	−0.110434	−	0.216738i
$593$	−6.10055	+	6.10055i	−0.250519	+	0.250519i	−0.821184	−	0.570664i	$-0.806686\pi$
$593$	−6.10055	+	6.10055i	−0.250519	+	0.250519i	0.570664	+	0.821184i	$0.306686\pi$
$594$	−7.08617	−	20.3658i	−0.290749	−	0.835618i
$595$	31.8544	+	12.0079i	1.30590	+	0.492275i
$596$	−0.690925	+	0.224495i	−0.0283014	+	0.00919568i
$597$	−26.2051	−	25.8463i	−1.07250	−	1.05782i
$598$	−1.13027	−	7.13624i	−0.0462201	−	0.291822i
$599$	9.03274			0.369068			0.184534	−	0.982826i	$-0.440922\pi$
$599$	9.03274			0.369068			0.184534	+	0.982826i	$0.440922\pi$
$600$	7.97688	+	3.37186i	0.325655	+	0.137656i
$601$	−26.1467			−1.06654			−0.533272	−	0.845944i	$-0.679038\pi$
$601$	−26.1467			−1.06654			−0.533272	+	0.845944i	$0.679038\pi$
$602$	−4.58984	−	28.9791i	−0.187068	−	1.18110i
$603$	−11.3543	+	5.98395i	−0.462384	+	0.243685i
$604$	−6.38119	+	2.07337i	−0.259647	+	0.0843644i
$605$	−13.4156	+	3.68153i	−0.545420	+	0.149676i
$606$	1.18298	−	1.65206i	0.0480552	−	0.0671105i
$607$	2.58049	−	2.58049i	0.104739	−	0.104739i	−0.652795	−	0.757534i	$-0.726404\pi$
$607$	2.58049	−	2.58049i	0.104739	−	0.104739i	0.757534	+	0.652795i	$0.226404\pi$
$608$	−3.60649	−	7.07813i	−0.146262	−	0.287056i
$609$	1.37551	−	0.457440i	0.0557386	−	0.0185364i
$610$	14.1215	+	8.03989i	0.571762	+	0.325526i
$611$	5.10520	−	7.02671i	0.206534	−	0.284270i
$612$	−10.1232	−	9.84785i	−0.409208	−	0.398076i
$613$	−17.4916	−	2.77040i	−0.706479	−	0.111895i	−0.207152	−	0.978309i	$-0.566419\pi$
$613$	−17.4916	−	2.77040i	−0.706479	−	0.111895i	−0.499327	+	0.866414i	$0.666419\pi$
$614$	−20.5524	−	14.9322i	−0.829426	−	0.602613i
$615$	−3.78421	+	19.0081i	−0.152594	+	0.766479i
$616$	10.8573	−	7.88829i	0.437453	−	0.317828i
$617$	−30.3282	+	15.4530i	−1.22097	+	0.622115i	−0.941167	−	0.337943i	$-0.890269\pi$
$617$	−30.3282	+	15.4530i	−1.22097	+	0.622115i	−0.279802	+	0.960058i	$0.590269\pi$
$618$	15.1136	−	7.83246i	0.607957	−	0.315068i
$619$	−19.0736	−	6.19740i	−0.766634	−	0.249095i	−0.100511	−	0.994936i	$-0.532048\pi$
$619$	−19.0736	−	6.19740i	−0.766634	−	0.249095i	−0.666124	+	0.745841i	$0.732048\pi$
$620$	−4.37345	−	0.202767i	−0.175642	−	0.00814331i
$621$	−14.4766	−	10.0671i	−0.580928	−	0.403979i
$622$	−0.0977951	−	0.0498291i	−0.00392122	−	0.00199796i
$623$	51.5319	−	8.16185i	2.06458	−	0.326998i
$624$	1.11538	−	3.51508i	0.0446511	−	0.140716i
$625$	24.5719	+	4.60653i	0.982877	+	0.184261i
$626$			24.1606i			0.965650i
$627$	−8.54330	+	56.4568i	−0.341186	+	2.25467i
$628$	2.13000	−	4.18036i	0.0849962	−	0.166815i
$629$	8.61003	+	26.4990i	0.343304	+	1.05658i
$630$	17.1265	+	13.3156i	0.682336	+	0.530505i
$631$	6.17329	−	18.9994i	0.245755	−	0.756356i	−0.749756	−	0.661714i	$-0.769829\pi$
$631$	6.17329	−	18.9994i	0.245755	−	0.756356i	0.995511	−	0.0946420i	$-0.0301706\pi$
$632$	−2.92905	−	2.92905i	−0.116511	−	0.116511i
$633$	29.3737	−	4.86016i	1.16750	−	0.193174i
$634$	−10.2414	−	14.0961i	−0.406738	−	0.559827i
$635$	−2.09441	−	18.8338i	−0.0831141	−	0.747398i
$636$	9.64833	−	7.11207i	0.382581	−	0.282012i
$637$	−1.15185	+	7.27248i	−0.0456379	+	0.288146i
$638$	−0.168004	+	1.06074i	−0.00665134	+	0.0419949i
$639$	10.4782	+	30.7969i	0.414509	+	1.21831i
$640$	1.10634	−	1.94320i	0.0437318	−	0.0768116i
$641$	−10.5427	−	14.5108i	−0.416411	−	0.573140i	0.548357	−	0.836245i	$-0.315254\pi$
$641$	−10.5427	−	14.5108i	−0.416411	−	0.573140i	−0.964767	+	0.263104i	$0.915254\pi$
$642$	3.41027	+	20.6109i	0.134593	+	0.813446i
$643$	15.8850	+	15.8850i	0.626441	+	0.626441i	0.947171	−	0.320729i	$-0.103928\pi$
$643$	15.8850	+	15.8850i	0.626441	+	0.626441i	−0.320729	+	0.947171i	$0.603928\pi$
$644$	3.39121	−	10.4371i	0.133632	−	0.411278i
$645$	−1.38533	+	35.1110i	−0.0545475	+	1.38250i
$646$	11.5565	+	35.5673i	0.454685	+	1.39938i
$647$	−2.64083	+	5.18292i	−0.103822	+	0.203762i	−0.937074	−	0.349132i	$-0.886476\pi$
$647$	−2.64083	+	5.18292i	−0.103822	+	0.203762i	0.833252	+	0.552894i	$0.186476\pi$
$648$	−4.30549	−	7.90334i	−0.169135	−	0.310473i
$649$		−	29.9014i		−	1.17373i
$650$	0.985026	−	10.6001i	0.0386359	−	0.415770i
$651$	−10.4535	−	3.31705i	−0.409706	−	0.130006i
$652$	2.78576	−	0.441222i	0.109099	−	0.0172796i
$653$	−43.3609	−	22.0935i	−1.69684	−	0.864586i	−0.987096	−	0.160131i	$-0.948808\pi$
$653$	−43.3609	−	22.0935i	−1.69684	−	0.864586i	−0.709749	−	0.704455i	$-0.751192\pi$
$654$	0.0457589	+	6.63680i	0.00178932	+	0.259519i
$655$	1.04203	−	2.76430i	0.0407156	−	0.108010i
$656$	4.75925	+	1.54638i	0.185818	+	0.0603758i
$657$	2.39670	−	0.413554i	0.0935041	−	0.0161343i
$658$	11.7543	−	5.98913i	0.458231	−	0.233480i
$659$	−7.82256	+	5.68342i	−0.304724	+	0.221395i	−0.729629	−	0.683843i	$-0.760307\pi$
$659$	−7.82256	+	5.68342i	−0.304724	+	0.221395i	0.424906	+	0.905238i	$0.360307\pi$
$660$	−14.5971	+	6.72644i	−0.568193	+	0.261826i
$661$	−18.4358	−	13.3944i	−0.717069	−	0.520981i	0.168377	−	0.985723i	$-0.446147\pi$
$661$	−18.4358	−	13.3944i	−0.717069	−	0.520981i	−0.885447	+	0.464741i	$0.846147\pi$
$662$	19.1964	+	3.04042i	0.746090	+	0.118169i
$663$	−7.77488	+	15.5227i	−0.301952	+	0.602853i
$664$	−6.73520	+	9.27021i	−0.261377	+	0.359754i
$665$	−23.6810	−	52.3368i	−0.918309	−	2.02953i
$666$	0.244829	+	17.7540i	0.00948694	+	0.687952i
$667$	0.398696	+	0.782485i	0.0154376	+	0.0302979i
$668$	−9.99325	+	9.99325i	−0.386650	+	0.386650i
$669$	−12.6939	−	9.08962i	−0.490775	−	0.351425i
$670$	5.25851	+	7.99149i	0.203154	+	0.308738i
$671$	−28.6816	+	9.31923i	−1.10724	+	0.359765i
$672$	3.93333	−	3.98794i	0.151731	−	0.153838i
$673$	−2.98296	−	18.8337i	−0.114985	−	0.725985i	−0.976059	−	0.217506i	$-0.930208\pi$
$673$	−2.98296	−	18.8337i	−0.114985	−	0.725985i	0.861074	−	0.508479i	$-0.169792\pi$
$674$	−10.2052			−0.393091
$675$	−17.0025	−	19.6448i	−0.654425	−	0.756127i
$676$	8.46671			0.325643
$677$	−2.13887	−	13.5043i	−0.0822035	−	0.519012i	−0.994089	−	0.108568i	$-0.965374\pi$
$677$	−2.13887	−	13.5043i	−0.0822035	−	0.519012i	0.911886	−	0.410445i	$-0.134626\pi$
$678$	13.2121	−	13.3956i	0.507408	−	0.514454i
$679$	1.01032	−	0.328273i	0.0387725	−	0.0125980i
$680$	−6.57521	+	8.22057i	−0.252148	+	0.315245i
$681$	−1.32124	−	0.946086i	−0.0506299	−	0.0362541i
$682$	5.74546	−	5.74546i	0.220005	−	0.220005i
$683$	−10.3197	−	20.2536i	−0.394874	−	0.774984i	0.604898	−	0.796303i	$-0.293214\pi$
$683$	−10.3197	−	20.2536i	−0.394874	−	0.774984i	−0.999773	+	0.0213182i	$0.993214\pi$
$684$	0.328613	+	23.8296i	0.0125648	+	0.911149i
$685$	−5.04054	+	24.4375i	−0.192589	+	0.933709i
$686$	6.73235	−	9.26628i	0.257042	−	0.353788i
$687$	−10.3629	+	20.6898i	−0.395370	+	0.789364i
$688$	8.96098	+	1.41928i	0.341634	+	0.0541095i
$689$	−11.9204	−	8.66065i	−0.454130	−	0.329945i
$690$	−6.42375	+	11.4660i	−0.244548	+	0.436503i
$691$	−1.73154	+	1.25804i	−0.0658711	+	0.0478581i	−0.620234	−	0.784417i	$-0.712962\pi$
$691$	−1.73154	+	1.25804i	−0.0658711	+	0.0478581i	0.554362	+	0.832275i	$0.312962\pi$
$692$	21.2226	−	10.8134i	0.806761	−	0.411065i
$693$	−39.6748	+	6.84594i	−1.50712	+	0.260056i
$694$	0.739524	+	0.240286i	0.0280720	+	0.00912113i
$695$	25.2628	+	20.2065i	0.958274	+	0.766474i
$696$	0.00309044	+	0.448232i	0.000117143	+	0.0169902i
$697$	−20.9904	−	10.6951i	−0.795067	−	0.405107i
$698$	−17.2415	+	2.73078i	−0.652600	+	0.103362i
$699$	28.8982	+	9.16982i	1.09303	+	0.346834i
$700$	8.64242	−	13.6662i	0.326653	−	0.516533i
$701$		−	41.0774i		−	1.55147i	−0.631057	−	0.775736i	$-0.717379\pi$
$701$		−	41.0774i		−	1.55147i	0.631057	−	0.775736i	$-0.282621\pi$
$702$	−7.65954	+	7.98313i	−0.289091	+	0.301304i
$703$	21.3452	−	41.8923i	0.805049	−	1.58000i
$704$	1.28238	+	3.94676i	0.0483315	+	0.148749i
$705$	−15.2067	+	4.28600i	−0.572716	+	0.161420i
$706$	6.19817	−	19.0760i	0.233271	−	0.717935i
$707$	−2.68264	−	2.68264i	−0.100891	−	0.100891i
$708$	−2.03726	−	12.3127i	−0.0765648	−	0.462739i
$709$	8.41710	+	11.5851i	0.316111	+	0.435089i	0.937275	−	0.348591i	$-0.113340\pi$
$709$	8.41710	+	11.5851i	0.316111	+	0.435089i	−0.621164	+	0.783681i	$0.713340\pi$
$710$	22.0908	−	9.99548i	0.829051	−	0.375124i
$711$	4.00272	+	11.7646i	0.150114	+	0.441207i
$712$	−2.52383	+	15.9348i	−0.0945844	+	0.597182i
$713$	1.03939	−	6.56247i	0.0389256	−	0.245767i
$714$	−21.2258	+	15.6461i	−0.794354	+	0.585542i
$715$	13.3085	+	14.6025i	0.497709	+	0.546103i
$716$	10.0298	+	13.8049i	0.374833	+	0.515913i
$717$	48.1172	−	7.96147i	1.79697	−	0.297326i
$718$	7.78025	+	7.78025i	0.290357	+	0.290357i
$719$	1.52577	−	4.69583i	0.0569015	−	0.175125i	−0.918566	−	0.395267i	$-0.870652\pi$
$719$	1.52577	−	4.69583i	0.0569015	−	0.175125i	0.975468	+	0.220142i	$0.0706521\pi$
$720$	−5.55246	+	3.76433i	−0.206928	+	0.140288i
$721$	−9.82145	−	30.2273i	−0.365770	−	1.12572i
$722$	20.0240	−	39.2993i	0.745216	−	1.46257i
$723$	7.76789	−	51.3327i	0.288891	−	1.90908i
$724$			13.6328i			0.506659i
$725$	0.284274	+	1.26235i	0.0105577	+	0.0468826i
$726$	3.25918	−	10.2711i	0.120959	−	0.381198i
$727$	11.2362	−	1.77964i	0.416729	−	0.0660033i	0.0554505	−	0.998461i	$-0.482340\pi$
$727$	11.2362	−	1.77964i	0.416729	−	0.0660033i	0.361278	+	0.932458i	$0.382340\pi$
$728$	−6.13504	−	3.12596i	−0.227380	−	0.115856i
$729$	1.11661	+	26.9769i	0.0413559	+	0.999144i
$730$	−0.479735	−	1.74816i	−0.0177558	−	0.0647024i
$731$	−40.6208	−	13.1985i	−1.50242	−	0.488165i
$732$	−11.1755	+	5.79158i	−0.413057	+	0.214063i
$733$	−41.0960	+	20.9395i	−1.51792	+	0.773417i	−0.996790	−	0.0800619i	$-0.974488\pi$
$733$	−41.0960	+	20.9395i	−1.51792	+	0.773417i	−0.521127	+	0.853479i	$0.674488\pi$
$734$	−4.96767	+	3.60922i	−0.183360	+	0.133219i
$735$	9.83682	−	9.09005i	0.362837	−	0.335291i
$736$	2.74537	+	1.99462i	0.101196	+	0.0735228i
$737$	−17.5355	−	2.77735i	−0.645928	−	0.102305i
$738$	−10.7608	−	10.4681i	−0.396111	−	0.385335i
$739$	−22.5951	+	31.0995i	−0.831175	+	1.14401i	0.156528	+	0.987674i	$0.449970\pi$
$739$	−22.5951	+	31.0995i	−0.831175	+	1.14401i	−0.987703	+	0.156341i	$0.950030\pi$
$740$	13.1532	−	1.46270i	0.483521	−	0.0537698i
$741$	27.7989	−	9.24477i	1.02122	−	0.339615i
$742$	−10.1602	−	19.9405i	−0.372992	−	0.732038i
$743$	16.0682	−	16.0682i	0.589485	−	0.589485i	−0.348007	−	0.937492i	$-0.613141\pi$
$743$	16.0682	−	16.0682i	0.589485	−	0.589485i	0.937492	+	0.348007i	$0.113141\pi$
$744$	1.97439	−	2.75729i	0.0723847	−	0.101087i
$745$	0.0752344	−	1.62272i	0.00275637	−	0.0594518i
$746$	−4.74228	+	1.54086i	−0.173627	+	0.0564149i
$747$	30.4110	−	16.0272i	1.11268	−	0.586403i
$748$	−3.05614	−	19.2957i	−0.111744	−	0.705522i
$749$	39.0059			1.42524
$750$	−13.3467	+	14.0309i	−0.487353	+	0.512335i
$751$	−3.78871			−0.138252			−0.0691261	−	0.997608i	$-0.522021\pi$
$751$	−3.78871			−0.138252			−0.0691261	+	0.997608i	$0.522021\pi$
$752$	0.638146	+	4.02909i	0.0232708	+	0.146926i
$753$	−5.92066	−	5.83958i	−0.215761	−	0.212806i
$754$	0.524041	−	0.170271i	0.0190845	−	0.00620092i
$755$	0.694844	−	14.9870i	0.0252879	−	0.545432i
$756$	−15.8707	+	5.52213i	−0.577211	+	0.200838i
$757$	−28.0026	+	28.0026i	−1.01777	+	1.01777i	−0.0179316	+	0.999839i	$0.505708\pi$
$757$	−28.0026	+	28.0026i	−1.01777	+	1.01777i	−0.999839	+	0.0179316i	$0.994292\pi$
$758$	−5.89359	−	11.5668i	−0.214065	−	0.420126i
$759$	−7.69713	−	23.1451i	−0.279388	−	0.840115i
$760$	17.6544	−	1.96326i	0.640394	−	0.0712147i
$761$	2.20853	−	3.03978i	0.0800592	−	0.110192i	−0.767109	−	0.641517i	$-0.778306\pi$
$761$	2.20853	−	3.03978i	0.0800592	−	0.110192i	0.847168	+	0.531325i	$0.178306\pi$
$762$	13.1243	+	6.57359i	0.475444	+	0.238136i
$763$	12.2393	+	1.93852i	0.443094	+	0.0701791i
$764$	−3.50409	−	2.54587i	−0.126774	−	0.0921064i
$765$	28.5896	−	13.4140i	1.03366	−	0.484984i
$766$	18.9387	−	13.7597i	0.684282	−	0.497160i
$767$	−13.6693	+	6.96484i	−0.493569	+	0.251486i
$768$	0.796956	+	1.53781i	0.0287577	+	0.0554910i
$769$	−26.5144	−	8.61506i	−0.956135	−	0.310667i	−0.210929	−	0.977501i	$-0.567649\pi$
$769$	−26.5144	−	8.61506i	−0.956135	−	0.310667i	−0.745206	+	0.666834i	$0.767649\pi$
$770$	7.94150	+	28.9389i	0.286192	+	1.04289i
$771$	−4.21870	+	0.0290868i	−0.151933	+	0.00104754i
$772$	4.47602	+	2.28065i	0.161095	+	0.0820823i
$773$	27.7544	−	4.39587i	0.998258	−	0.158108i	0.364139	−	0.931344i	$-0.381363\pi$
$773$	27.7544	−	4.39587i	0.998258	−	0.158108i	0.634118	+	0.773236i	$0.281363\pi$
$774$	−22.2384	−	15.6932i	−0.799342	−	0.564081i
$775$	3.87374	−	8.99082i	0.139149	−	0.322960i
$776$			0.328491i			0.0117921i
$777$	32.7785	+	4.96019i	1.17592	+	0.177946i
$778$	−7.43594	+	14.5938i	−0.266591	+	0.523215i
$779$	12.2844	+	37.8074i	0.440133	+	1.35459i
$780$	6.47501	+	5.10623i	0.231843	+	0.182832i
$781$	−13.9055	+	42.7968i	−0.497579	+	1.53139i
$782$	−11.2963	−	11.2963i	−0.403953	−	0.403953i
$783$	0.585582	−	1.21053i	0.0209270	−	0.0432609i
$784$	−2.03271	−	2.79778i	−0.0725966	−	0.0999207i
$785$	7.06675	+	7.75388i	0.252223	+	0.276748i
$786$	1.35776	+	1.84195i	0.0484296	+	0.0657003i
$787$	5.04761	−	31.8694i	0.179928	−	1.13602i	−0.718054	−	0.695987i	$-0.754967\pi$
$787$	5.04761	−	31.8694i	0.179928	−	1.13602i	0.897982	−	0.440033i	$-0.145033\pi$
$788$	−1.84676	+	11.6600i	−0.0657881	+	0.415370i
$789$	−8.71587	−	11.8241i	−0.310293	−	0.420948i
$790$	8.43881	−	3.81834i	0.300239	−	0.135850i
$791$	−20.6486	−	28.4203i	−0.734178	−	1.01051i
$792$	1.77781	−	12.3220i	0.0631718	−	0.437844i
$793$	10.9409	+	10.9409i	0.388524	+	0.388524i
$794$	−3.45370	+	10.6294i	−0.122567	+	0.377223i
$795$	7.27094	+	25.7971i	0.257874	+	0.914930i
$796$	−6.56673	−	20.2103i	−0.232752	−	0.716336i
$797$	−19.5331	+	38.3358i	−0.691897	+	1.35792i	0.231030	+	0.972947i	$0.425791\pi$
$797$	−19.5331	+	38.3358i	−0.691897	+	1.35792i	−0.922926	+	0.384977i	$0.874209\pi$
$798$	43.9958	+	6.65764i	1.55743	+	0.235678i
$799$		−	19.2041i		−	0.679393i
$800$	3.19323	+	3.84750i	0.112898	+	0.136030i
$801$	27.9064	−	39.5452i	0.986023	−	1.39726i
$802$	1.89743	−	0.300524i	0.0670007	−	0.0106119i
$803$	2.99763	+	1.52737i	0.105784	+	0.0538998i
$804$	−7.40992	+	0.0510894i	−0.261328	+	0.00180178i
$805$	19.1632	+	15.3276i	0.675413	+	0.540228i
$806$	−3.96477	−	1.28823i	−0.139653	−	0.0453761i
$807$	−24.8832	−	48.0148i	−0.875930	−	1.69020i
$808$	1.04527	−	0.532593i	0.0367726	−	0.0187366i
$809$	41.5683	−	30.2011i	1.46146	−	1.06181i	0.478483	−	0.878097i	$-0.341187\pi$
$809$	41.5683	−	30.2011i	1.46146	−	1.06181i	0.982979	−	0.183718i	$-0.0588132\pi$
$810$	19.9324	−	2.77493i	0.700352	−	0.0975011i
$811$	−8.15608	−	5.92574i	−0.286399	−	0.208081i	0.435305	−	0.900283i	$-0.356641\pi$
$811$	−8.15608	−	5.92574i	−0.286399	−	0.208081i	−0.721704	+	0.692202i	$0.756641\pi$
$812$	0.826612	+	0.130923i	0.0290084	+	0.00459448i
$813$	22.1107	+	11.0746i	0.775455	+	0.388403i
$814$	−14.4367	+	19.8704i	−0.506007	+	0.696459i
$815$	−1.27404	+	6.17678i	−0.0446276	+	0.216363i
$816$	−2.57311	−	7.73730i	−0.0900770	−	0.270860i
$817$	32.7205	+	64.2176i	1.14475	+	2.24669i
$818$	21.2872	−	21.2872i	0.744290	−	0.744290i
$819$	12.3709	+	16.5425i	0.432274	+	0.578041i
$820$	−6.98933	+	8.73832i	−0.244078	+	0.305155i
$821$	48.8450	−	15.8707i	1.70470	−	0.553891i	0.715264	−	0.698855i	$-0.246307\pi$
$821$	48.8450	−	15.8707i	1.70470	−	0.553891i	0.989437	+	0.144964i	$0.0463066\pi$
$822$	−13.7606	−	13.5722i	−0.479957	−	0.473384i
$823$	−1.24703	−	7.87346i	−0.0434689	−	0.274452i	0.956375	−	0.292143i	$-0.0943683\pi$
$823$	−1.24703	−	7.87346i	−0.0434689	−	0.274452i	−0.999843	+	0.0176915i	$0.994368\pi$
$824$	9.82797			0.342374
$825$	−2.56079	−	35.8476i	−0.0891551	−	1.24805i
$826$	−23.3017			−0.810768
$827$	−0.742663	−	4.68899i	−0.0258249	−	0.163052i	0.971405	−	0.237427i	$-0.0763040\pi$
$827$	−0.742663	−	4.68899i	−0.0258249	−	0.163052i	−0.997230	+	0.0743745i	$0.976304\pi$
$828$	−4.74643	−	9.00619i	−0.164950	−	0.312987i
$829$	−29.4902	+	9.58196i	−1.02424	+	0.332795i	−0.772510	−	0.635003i	$-0.780999\pi$
$829$	−29.4902	+	9.58196i	−1.02424	+	0.332795i	−0.251729	+	0.967798i	$0.580999\pi$
$830$	−14.0842	−	21.4041i	−0.488869	−	0.742946i
$831$	1.03870	−	1.45057i	0.0360321	−	0.0503199i
$832$	1.50554	−	1.50554i	0.0521952	−	0.0521952i
$833$	7.39111	+	14.5059i	0.256087	+	0.502598i
$834$	−23.7777	+	7.90750i	−0.823354	+	0.273814i
$835$	−13.0273	−	28.7913i	−0.450828	−	0.996364i
$836$	−19.3772	+	26.6704i	−0.670174	+	0.922416i
$837$	−8.96753	+	4.80535i	−0.309963	+	0.166097i
$838$	−12.4956	−	1.97911i	−0.431653	−	0.0683672i
$839$	−21.8902	−	15.9042i	−0.755734	−	0.549073i	0.141865	−	0.989886i	$-0.454690\pi$
$839$	−21.8902	−	15.9042i	−0.755734	−	0.549073i	−0.897599	+	0.440813i	$0.854690\pi$
$840$	5.24180	+	11.3753i	0.180859	+	0.392485i
$841$	23.4073	−	17.0064i	0.807149	−	0.586428i
$842$	2.93416	−	1.49503i	0.101118	−	0.0515222i
$843$	15.2294	−	7.89249i	0.524528	−	0.271832i
$844$	16.3481	+	5.31184i	0.562727	+	0.182841i
$845$	−6.67797	+	17.7153i	−0.229729	+	0.609423i
$846$	3.62089	−	11.6900i	0.124489	−	0.401911i
$847$	−17.9267	−	9.13411i	−0.615969	−	0.313852i
$848$	6.83510	−	1.08257i	0.234718	−	0.0371757i
$849$	12.0107	−	37.8511i	0.412205	−	1.29904i
$850$	−12.0142	−	20.2414i	−0.412083	−	0.694276i
$851$			20.0844i			0.688483i
$852$	−2.81012	+	18.5701i	−0.0962730	+	0.636202i
$853$	5.33449	−	10.4695i	0.182650	−	0.358470i	−0.781468	−	0.623945i	$-0.785529\pi$
$853$	5.33449	−	10.4695i	0.182650	−	0.358470i	0.964118	+	0.265475i	$0.0855289\pi$
$854$	7.26231	+	22.3511i	0.248511	+	0.764839i
$855$	−50.1190	−	18.1077i	−1.71403	−	0.619269i
$856$	−3.72720	+	11.4711i	−0.127393	+	0.392076i
$857$	16.7084	+	16.7084i	0.570749	+	0.570749i	0.932338	−	0.361588i	$-0.117765\pi$
$857$	16.7084	+	16.7084i	0.570749	+	0.570749i	−0.361588	+	0.932338i	$0.617765\pi$
$858$	−15.0986	+	2.49821i	−0.515458	+	0.0852876i
$859$	17.7522	+	24.4338i	0.605698	+	0.833672i	0.996215	−	0.0869239i	$-0.0277037\pi$
$859$	17.7522	+	24.4338i	0.605698	+	0.833672i	−0.390517	+	0.920596i	$0.627704\pi$
$860$	−10.0374	+	17.6300i	−0.342274	+	0.601179i
$861$	−22.5626	+	16.6316i	−0.768931	+	0.566802i
$862$	3.45331	−	21.8033i	0.117620	−	0.742624i
$863$	−5.92575	+	37.4137i	−0.201715	+	1.27358i	0.654145	+	0.756369i	$0.273029\pi$
$863$	−5.92575	+	37.4137i	−0.201715	+	1.27358i	−0.855860	+	0.517208i	$0.826971\pi$
$864$	−0.107469	−	5.19504i	−0.00365616	−	0.176739i
$865$	5.88649	+	52.9338i	0.200147	+	1.79980i
$866$	−2.85266	−	3.92635i	−0.0969372	−	0.133423i
$867$	1.45958	+	8.82134i	0.0495699	+	0.299588i
$868$	−4.47733	−	4.47733i	−0.151971	−	0.151971i
$869$	−5.31201	+	16.3487i	−0.180197	+	0.554591i
$870$	−0.940293	−	0.347069i	−0.0318789	−	0.0117667i
$871$	2.81483	+	8.66316i	0.0953769	+	0.293540i
$872$	−1.73962	+	3.41420i	−0.0589111	+	0.115620i
$873$	0.435245	−	0.884148i	0.0147308	−	0.0299239i
$874$			26.9575i			0.911852i
$875$	21.7778	+	28.8619i	0.736224	+	0.975710i
$876$	1.33842	+	0.424699i	0.0452209	+	0.0143492i
$877$	22.7610	−	3.60498i	0.768583	−	0.121732i	0.240183	−	0.970728i	$-0.422792\pi$
$877$	22.7610	−	3.60498i	0.768583	−	0.121732i	0.528399	+	0.848996i	$0.322792\pi$
$878$	−28.2867	−	14.4128i	−0.954628	−	0.486407i
$879$	0.267295	+	38.7680i	0.00901562	+	1.30761i
$880$	−9.26944	−	0.429761i	−0.312473	−	0.0144872i
$881$	−17.8899	−	5.81277i	−0.602725	−	0.195837i	−0.00826973	−	0.999966i	$-0.502632\pi$
$881$	−17.8899	−	5.81277i	−0.602725	−	0.195837i	−0.594456	+	0.804129i	$0.702632\pi$
$882$	1.76411	+	10.2237i	0.0594005	+	0.344248i
$883$	−1.53112	+	0.780142i	−0.0515261	+	0.0262539i	−0.479564	−	0.877507i	$-0.659205\pi$
$883$	−1.53112	+	0.780142i	−0.0515261	+	0.0262539i	0.428038	+	0.903761i	$0.359205\pi$
$884$	−8.10908	+	5.89159i	−0.272738	+	0.198156i
$885$	27.3692	+	5.44879i	0.920007	+	0.183159i
$886$	8.60976	+	6.25536i	0.289251	+	0.210153i
$887$	−9.35284	−	1.48134i	−0.314038	−	0.0497387i	−0.00257386	−	0.999997i	$-0.500819\pi$
$887$	−9.35284	−	1.48134i	−0.314038	−	0.0497387i	−0.311464	+	0.950258i	$0.600819\pi$
$888$	−4.59088	+	9.16578i	−0.154060	+	0.307584i
$889$	16.1091	−	22.1722i	0.540281	−	0.743633i
$890$	−31.3505	−	17.8490i	−1.05087	−	0.598301i
$891$	−21.1115	+	30.8097i	−0.707263	+	1.03216i
$892$	−4.09227	−	8.03154i	−0.137019	−	0.268916i
$893$	−22.9145	+	22.9145i	−0.766804	+	0.766804i
$894$	1.02306	+	0.732576i	0.0342164	+	0.0245010i
$895$	−36.7954	+	10.0975i	−1.22994	+	0.337522i
$896$	3.07564	−	0.999337i	0.102750	−	0.0333855i
$897$	−8.78779	+	8.90982i	−0.293416	+	0.297490i
$898$	−3.92241	−	24.7651i	−0.130893	−	0.826423i
$899$	0.506708			0.0168997
$900$	−3.49685	−	14.5867i	−0.116562	−	0.486224i
$901$	−32.5786			−1.08535
$902$	−3.24862	−	20.5110i	−0.108167	−	0.682942i
$903$	−35.6858	+	36.1813i	−1.18755	+	1.20404i
$904$	10.3311	−	3.35679i	0.343608	−	0.111645i
$905$	−28.5245	−	10.7526i	−0.948187	−	0.357430i
$906$	9.44872	+	6.76586i	0.313913	+	0.224781i
$907$	−31.9675	+	31.9675i	−1.06146	+	1.06146i	−0.0634811	+	0.997983i	$0.520220\pi$
$907$	−31.9675	+	31.9675i	−1.06146	+	1.06146i	−0.997983	+	0.0634811i	$0.979780\pi$
$908$	−0.425941	−	0.835956i	−0.0141353	−	0.0277422i
$909$	−3.51908	+	0.0485284i	−0.116720	+	0.00160959i
$910$	11.3795	−	10.3711i	0.377226	−	0.343797i
$911$	−0.323364	+	0.445072i	−0.0107135	+	0.0147459i	−0.814340	−	0.580388i	$-0.802901\pi$
$911$	−0.323364	+	0.445072i	−0.0107135	+	0.0147459i	0.803627	+	0.595134i	$0.202901\pi$
$912$	−6.16194	+	12.3025i	−0.204042	+	0.407375i
$913$	46.9663	+	7.43873i	1.55436	+	0.246186i
$914$	−3.19615	−	2.32214i	−0.105719	−	0.0768095i
$915$	−3.30352	−	27.9509i	−0.109211	−	0.924029i
$916$	−10.8083	+	7.85272i	−0.357118	+	0.259461i
$917$	3.80682	−	1.93967i	0.125712	−	0.0640535i
$918$	−3.32615	+	24.2346i	−0.109779	+	0.799862i
$919$	26.9142	+	8.74495i	0.887817	+	0.288469i	0.717199	−	0.696868i	$-0.245424\pi$
$919$	26.9142	+	8.74495i	0.887817	+	0.288469i	0.170618	+	0.985337i	$0.445424\pi$
$920$	−6.33880	+	4.17102i	−0.208984	+	0.137514i
$921$	0.303369	+	44.0002i	0.00999635	+	1.44985i
$922$	2.60951	+	1.32961i	0.0859397	+	0.0437885i
$923$	22.8033	−	3.61169i	0.750579	−	0.118880i
$924$	−22.1561	−	7.03043i	−0.728881	−	0.231284i
$925$	−7.31390	+	28.6747i	−0.240480	+	0.942818i
$926$			30.2530i			0.994175i
$927$	−26.4524	−	13.0219i	−0.868812	−	0.427696i
$928$	−0.117490	+	0.230586i	−0.00385678	+	0.00756936i
$929$	−8.51025	−	26.1919i	−0.279212	−	0.859327i	−0.988074	−	0.153980i	$-0.950791\pi$
$929$	−8.51025	−	26.1919i	−0.279212	−	0.859327i	0.708862	−	0.705348i	$-0.249209\pi$
$930$	4.21194	+	6.30587i	0.138115	+	0.206778i
$931$	8.48938	−	26.1276i	0.278228	−	0.856298i
$932$	12.3774	+	12.3774i	0.405434	+	0.405434i
$933$	0.0310330	+	0.187556i	0.00101598	+	0.00614032i
$934$	−19.6432	−	27.0366i	−0.642745	−	0.884663i
$935$	42.7838	+	8.82468i	1.39918	+	0.288598i
$936$	−6.04704	+	2.05741i	−0.197654	+	0.0672486i
$937$	5.87766	−	37.1101i	0.192015	−	1.21233i	−0.683794	−	0.729675i	$-0.739671\pi$
$937$	5.87766	−	37.1101i	0.192015	−	1.21233i	0.875809	−	0.482658i	$-0.160329\pi$
$938$	−2.16434	+	13.6651i	−0.0706681	+	0.446181i
$939$	33.6848	−	24.8301i	1.09926	−	0.810299i
$940$	−8.93357	−	1.84266i	−0.291381	−	0.0601009i
$941$	12.4653	+	17.1570i	0.406358	+	0.559304i	0.962325	−	0.271900i	$-0.0876521\pi$
$941$	12.4653	+	17.1570i	0.406358	+	0.559304i	−0.555968	+	0.831204i	$0.687652\pi$
$942$	−8.01731	+	1.32654i	−0.261218	+	0.0432211i
$943$	−12.0077	−	12.0077i	−0.391025	−	0.391025i
$944$	2.22659	−	6.85273i	0.0724693	−	0.223037i
$945$	0.963542	−	37.5624i	0.0313440	−	1.22191i
$946$	−11.6346	−	35.8077i	−0.378274	−	1.16421i
$947$	15.8634	−	31.1336i	0.515490	−	1.01171i	−0.475744	−	0.879584i	$-0.657821\pi$
$947$	15.8634	−	31.1336i	0.515490	−	1.01171i	0.991234	−	0.132122i	$-0.0421789\pi$
$948$	−1.07348	+	7.09391i	−0.0348651	+	0.230400i
$949$		−	1.72612i		−	0.0560321i
$950$	−9.81683	+	38.4876i	−0.318500	+	1.24870i
$951$	−9.12765	+	28.7653i	−0.295984	+	0.932780i
$952$	−15.0368	+	2.38160i	−0.487346	+	0.0771881i
$953$	38.7848	+	19.7619i	1.25636	+	0.640150i	0.950144	−	0.311811i	$-0.100936\pi$
$953$	38.7848	+	19.7619i	1.25636	+	0.640150i	0.306220	+	0.951961i	$0.400936\pi$
$954$	−19.8314	−	6.14261i	−0.642065	−	0.198874i
$955$	8.09063	−	5.32375i	0.261807	−	0.172273i
$956$	26.7800	+	8.70136i	0.866128	+	0.281422i
$957$	1.65154	−	0.855897i	0.0533868	−	0.0276672i
$958$	−15.9995	+	8.15214i	−0.516920	+	0.263384i
$959$	−29.1949	+	21.2113i	−0.942751	+	0.684949i
$960$	−3.84621	+	0.454584i	−0.124136	+	0.0146716i
$961$	21.9781	+	15.9680i	0.708970	+	0.515097i
$962$	12.4464	+	1.97131i	0.401287	+	0.0635576i
$963$	25.2310	−	25.9366i	0.813058	−	0.835796i
$964$	17.6185	−	24.2497i	0.567453	−	0.781032i
$965$	−8.30228	+	7.56655i	−0.267260	+	0.243576i
$966$	−18.0366	+	5.99824i	−0.580318	+	0.192990i
$967$	−22.2871	−	43.7408i	−0.716704	−	1.40661i	−0.905393	−	0.424574i	$-0.860424\pi$
$967$	−22.2871	−	43.7408i	−0.716704	−	1.40661i	0.188689	−	0.982037i	$-0.439576\pi$
$968$	4.39921	−	4.39921i	0.141396	−	0.141396i
$969$	37.7114	−	52.6651i	1.21146	−	1.69185i
$970$	−0.687316	−	0.259092i	−0.0220684	−	0.00831893i
$971$	−33.3615	+	10.8398i	−1.07062	+	0.347866i	−0.790730	−	0.612166i	$-0.790299\pi$
$971$	−33.3615	+	10.8398i	−1.07062	+	0.347866i	−0.279892	+	0.960032i	$0.590299\pi$
$972$	−6.59409	+	14.1251i	−0.211506	+	0.453062i
$973$	7.31895	+	46.2101i	0.234635	+	1.48143i
$974$	29.6562			0.950246
$975$	−15.7910	+	9.52050i	−0.505718	+	0.304900i
$976$	−7.26713			−0.232615
$977$	1.87057	+	11.8103i	0.0598448	+	0.377845i	0.999374	+	0.0353765i	$0.0112630\pi$
$977$	1.87057	+	11.8103i	0.0598448	+	0.377845i	−0.939529	+	0.342469i	$0.888737\pi$
$978$	−3.47811	−	3.43048i	−0.111218	−	0.109695i
$979$	63.6748	−	20.6892i	2.03506	−	0.661230i
$980$	7.45718	−	2.04642i	0.238211	−	0.0653704i
$981$	9.20604	−	6.88451i	0.293926	−	0.219805i
$982$	3.74816	−	3.74816i	0.119609	−	0.119609i
$983$	−13.2156	−	25.9371i	−0.421512	−	0.827264i	−0.999934	−	0.0115261i	$-0.996331\pi$
$983$	−13.2156	−	25.9371i	−0.421512	−	0.827264i	0.578421	−	0.815738i	$-0.303669\pi$
$984$	−2.73517	−	8.22461i	−0.0871941	−	0.262191i
$985$	−22.9401	−	13.0607i	−0.730932	−	0.416147i
$986$	0.716107	−	0.985637i	0.0228055	−	0.0313891i
$987$	−20.4301	−	10.2329i	−0.650298	−	0.325715i
$988$	16.7057	+	2.64592i	0.531479	+	0.0841780i
$989$	−24.9078	−	18.0966i	−0.792023	−	0.575438i
$990$	24.3797	+	13.4386i	0.774837	+	0.427106i
$991$	−15.9396	+	11.5808i	−0.506337	+	0.367875i	−0.811432	−	0.584447i	$-0.801312\pi$
$991$	−15.9396	+	11.5808i	−0.506337	+	0.367875i	0.305095	+	0.952322i	$0.401312\pi$
$992$	1.74456	−	0.888898i	0.0553898	−	0.0282225i
$993$	−15.4894	−	29.8884i	−0.491542	−	0.948481i
$994$	33.3508	+	10.8363i	1.05782	+	0.343708i
$995$	47.4663	+	2.20069i	1.50478	+	0.0697666i
$996$	19.8464	−	0.136836i	0.628858	−	0.00433580i
$997$	0.834811	+	0.425357i	0.0264387	+	0.0134712i	0.467160	−	0.884173i	$-0.345277\pi$
$997$	0.834811	+	0.425357i	0.0264387	+	0.0134712i	−0.440721	+	0.897644i	$0.645277\pi$
$998$	−6.76984	+	1.07224i	−0.214296	+	0.0339411i
$999$	24.5011	−	18.5873i	0.775180	−	0.588076i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.l.a.113.2	yes	80
3.2	odd	2	inner	150.2.l.a.113.8	yes	80
5.2	odd	4		750.2.l.c.707.9		80
5.3	odd	4		750.2.l.a.707.2		80
5.4	even	2		750.2.l.b.293.9		80
15.2	even	4		750.2.l.c.707.5		80
15.8	even	4		750.2.l.a.707.6		80
15.14	odd	2		750.2.l.b.293.3		80
25.2	odd	20	inner	150.2.l.a.77.8	yes	80
25.11	even	5		750.2.l.c.593.5		80
25.14	even	10		750.2.l.a.593.6		80
25.23	odd	20		750.2.l.b.407.3		80
75.2	even	20	inner	150.2.l.a.77.2	✓	80
75.11	odd	10		750.2.l.c.593.9		80
75.14	odd	10		750.2.l.a.593.2		80
75.23	even	20		750.2.l.b.407.9		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.l.a.77.2	✓	80	75.2	even	20	inner
150.2.l.a.77.8	yes	80	25.2	odd	20	inner
150.2.l.a.113.2	yes	80	1.1	even	1	trivial
150.2.l.a.113.8	yes	80	3.2	odd	2	inner
750.2.l.a.593.2		80	75.14	odd	10
750.2.l.a.593.6		80	25.14	even	10
750.2.l.a.707.2		80	5.3	odd	4
750.2.l.a.707.6		80	15.8	even	4
750.2.l.b.293.3		80	15.14	odd	2
750.2.l.b.293.9		80	5.4	even	2
750.2.l.b.407.3		80	25.23	odd	20
750.2.l.b.407.9		80	75.23	even	20
750.2.l.c.593.5		80	25.11	even	5
750.2.l.c.593.9		80	75.11	odd	10
750.2.l.c.707.5		80	15.2	even	4
750.2.l.c.707.9		80	5.2	odd	4

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:	\( N \)	\(=\)	\( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	150.l (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156434 - 0.987688i) q^{2} +(-1.21627 + 1.23316i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(0.103560 - 2.23367i) q^{5} +(1.40824 + 1.00839i) q^{6} +(2.28673 - 2.28673i) q^{7} +(0.453990 + 0.891007i) q^{8} +(-0.0413664 - 2.99971i) q^{9} +O(q^{10})\)	\(q+(-0.156434 - 0.987688i) q^{2} +(-1.21627 + 1.23316i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(0.103560 - 2.23367i) q^{5} +(1.40824 + 1.00839i) q^{6} +(2.28673 - 2.28673i) q^{7} +(0.453990 + 0.891007i) q^{8} +(-0.0413664 - 2.99971i) q^{9} +(-2.22237 + 0.247138i) q^{10} +(2.43923 - 3.35732i) q^{11} +(0.775676 - 1.54865i) q^{12} +(-2.10294 - 0.333073i) q^{13} +(-2.61630 - 1.90085i) q^{14} +(2.62851 + 2.84445i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-4.19457 + 2.13724i) q^{17} +(-2.95631 + 0.510116i) q^{18} +(7.55516 + 2.45482i) q^{19} +(0.591750 + 2.15635i) q^{20} +(0.0386186 + 5.60118i) q^{21} +(-3.69756 - 1.88400i) q^{22} +(-3.35168 + 0.530854i) q^{23} +(-1.65093 - 0.523863i) q^{24} +(-4.97855 - 0.462637i) q^{25} +2.12915i q^{26} +(3.74944 + 3.59746i) q^{27} +(-1.46817 + 2.88144i) q^{28} +(-0.0799714 - 0.246127i) q^{29} +(2.39824 - 3.04112i) q^{30} +(-0.605045 + 1.86214i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(1.17334 + 7.09137i) q^{33} +(2.76710 + 3.80859i) q^{34} +(-4.87098 - 5.34460i) q^{35} +(0.966305 + 2.84012i) q^{36} +(0.925865 - 5.84568i) q^{37} +(1.24271 - 7.84617i) q^{38} +(2.96848 - 2.18815i) q^{39} +(2.03723 - 0.921792i) q^{40} +(2.94138 + 4.04846i) q^{41} +(5.52618 - 0.914361i) q^{42} +(6.41535 + 6.41535i) q^{43} +(-1.28238 + 3.94676i) q^{44} +(-6.70465 - 0.218252i) q^{45} +(1.04864 + 3.22737i) q^{46} +(-1.85197 + 3.63470i) q^{47} +(-0.259151 + 1.71255i) q^{48} -3.45825i q^{49} +(0.321875 + 4.98963i) q^{50} +(2.46618 - 7.77205i) q^{51} +(2.10294 - 0.333073i) q^{52} +(6.16604 + 3.14175i) q^{53} +(2.96662 - 4.26604i) q^{54} +(-7.24652 - 5.79612i) q^{55} +(3.07564 + 0.999337i) q^{56} +(-12.2163 + 6.33100i) q^{57} +(-0.230586 + 0.117490i) q^{58} +(5.82928 - 4.23522i) q^{59} +(-3.37885 - 1.89298i) q^{60} +(-5.87923 - 4.27151i) q^{61} +(1.93386 + 0.306293i) q^{62} +(-6.95412 - 6.76494i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-0.961755 + 4.66278i) q^{65} +(6.82052 - 2.26823i) q^{66} +(-1.94227 - 3.81192i) q^{67} +(3.32883 - 3.32883i) q^{68} +(3.42192 - 4.77882i) q^{69} +(-4.51682 + 5.64709i) q^{70} +(-10.3128 + 3.35084i) q^{71} +(2.65399 - 1.39870i) q^{72} +(0.126822 + 0.800725i) q^{73} -5.91855 q^{74} +(6.62578 - 5.57666i) q^{75} -7.94397 q^{76} +(-2.09941 - 13.2551i) q^{77} +(-2.62559 - 2.58963i) q^{78} +(-3.93956 + 1.28004i) q^{79} +(-1.22914 - 1.86795i) q^{80} +(-8.99658 + 0.248175i) q^{81} +(3.53849 - 3.53849i) q^{82} +(5.20210 + 10.2097i) q^{83} +(-1.76759 - 5.31511i) q^{84} +(4.33950 + 9.59062i) q^{85} +(5.33279 - 7.33995i) q^{86} +(0.400781 + 0.200739i) q^{87} +(4.09878 + 0.649183i) q^{88} +(13.0522 + 9.48300i) q^{89} +(0.833274 + 6.65625i) q^{90} +(-5.57050 + 4.04720i) q^{91} +(3.02359 - 1.54060i) q^{92} +(-1.56041 - 3.01098i) q^{93} +(3.87966 + 1.26058i) q^{94} +(6.26567 - 16.6215i) q^{95} +(1.73201 - 0.0119417i) q^{96} +(0.292688 + 0.149132i) q^{97} +(-3.41567 + 0.540989i) q^{98} +(-10.1719 - 7.17812i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) \) 80 * q + 4 * q^3 + 4 * q^7	\( 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) \) 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Introduction

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