LMFDB - Embedded newform 297.2.x.a.41.34

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [297,2,Mod(2,297)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(297, base_ring=CyclotomicField(90))

chi = DirichletCharacter(H, H._module([5, 9]))

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

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

chi := DirichletCharacter("297.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 297 = 3^{3} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	297.x (of order $90$, degree $24$, 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:	$2.37155694003$
Analytic rank:	$0$
Dimension:	$816$
Relative dimension:	$34$ over $\Q(\zeta_{90})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{90}]$

Embedding invariants

Embedding label			41.34
Character	$\chi$	$=$	297.41
Dual form			297.2.x.a.29.34

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.90595 + 1.84056i) q^{2} +(1.60172 - 0.659162i) q^{3} +(0.175206 + 5.01725i) q^{4} +(-0.596870 + 0.148816i) q^{5} +(4.26603 + 1.69173i) q^{6} +(-1.35158 - 1.05597i) q^{7} +(-5.35476 + 5.94706i) q^{8} +(2.13101 - 2.11158i) q^{9} +O(q^{10})$	\(q+(1.90595 + 1.84056i) q^{2} +(1.60172 - 0.659162i) q^{3} +(0.175206 + 5.01725i) q^{4} +(-0.596870 + 0.148816i) q^{5} +(4.26603 + 1.69173i) q^{6} +(-1.35158 - 1.05597i) q^{7} +(-5.35476 + 5.94706i) q^{8} +(2.13101 - 2.11158i) q^{9} +(-1.41151 - 0.814937i) q^{10} +(-2.02183 - 2.62910i) q^{11} +(3.58781 + 7.92073i) q^{12} +(1.16895 - 0.570137i) q^{13} +(-0.632476 - 4.50030i) q^{14} +(-0.857925 + 0.631796i) q^{15} +(-11.1357 + 0.778681i) q^{16} +(-0.422020 + 0.187896i) q^{17} +(7.94810 - 0.102330i) q^{18} +(0.505207 + 0.454891i) q^{19} +(-0.851224 - 2.96857i) q^{20} +(-2.86092 - 0.800461i) q^{21} +(0.985499 - 8.73225i) q^{22} +(-1.57794 - 4.33534i) q^{23} +(-4.65675 + 13.0552i) q^{24} +(-4.08063 + 2.16971i) q^{25} +(3.27734 + 1.06487i) q^{26} +(2.02141 - 4.78685i) q^{27} +(5.06127 - 6.96624i) q^{28} +(10.1195 + 1.42220i) q^{29} +(-2.79802 - 0.374886i) q^{30} +(-2.67248 + 3.96211i) q^{31} +(-10.3966 - 8.72380i) q^{32} +(-4.97141 - 2.87837i) q^{33} +(-1.15018 - 0.418632i) q^{34} +(0.963866 + 0.429141i) q^{35} +(10.9677 + 10.3219i) q^{36} +(4.81972 + 5.35285i) q^{37} +(0.125649 + 1.79686i) q^{38} +(1.49653 - 1.68373i) q^{39} +(2.31107 - 4.34650i) q^{40} +(-9.35861 + 1.31527i) q^{41} +(-3.97948 - 6.79132i) q^{42} +(3.76508 + 4.48705i) q^{43} +(12.8366 - 10.6047i) q^{44} +(-0.957699 + 1.57747i) q^{45} +(4.97198 - 11.1672i) q^{46} +(-7.78223 - 0.271762i) q^{47} +(-17.3229 + 8.58743i) q^{48} +(-0.981753 - 3.93760i) q^{49} +(-11.7710 - 3.37527i) q^{50} +(-0.552105 + 0.579135i) q^{51} +(3.06533 + 5.76504i) q^{52} +(-3.92774 - 5.40607i) q^{53} +(12.6632 - 5.40299i) q^{54} +(1.59803 + 1.26835i) q^{55} +(13.5173 - 2.38347i) q^{56} +(1.10905 + 0.395594i) q^{57} +(16.6696 + 21.3362i) q^{58} +(-6.29133 - 10.0682i) q^{59} +(-3.32019 - 4.19373i) q^{60} +(4.72808 - 3.18913i) q^{61} +(-12.3861 + 2.63275i) q^{62} +(-5.11002 + 0.603692i) q^{63} +(-1.42514 - 13.5593i) q^{64} +(-0.612868 + 0.514258i) q^{65} +(-4.17747 - 14.6362i) q^{66} +(0.459764 - 2.60745i) q^{67} +(-1.01666 - 2.08446i) q^{68} +(-5.38510 - 5.90389i) q^{69} +(1.04723 + 2.59197i) q^{70} +(4.57064 + 10.2658i) q^{71} +(1.14667 + 23.9803i) q^{72} +(3.33968 + 15.7120i) q^{73} +(-0.666053 + 19.0733i) q^{74} +(-5.10584 + 6.16506i) q^{75} +(-2.19378 + 2.61445i) q^{76} +(-0.0435864 + 5.68846i) q^{77} +(5.95131 - 0.454670i) q^{78} +(0.817920 - 0.846981i) q^{79} +(6.53066 - 2.12194i) q^{80} +(0.0824242 - 8.99962i) q^{81} +(-20.2579 - 14.7182i) q^{82} +(-7.00971 + 14.3720i) q^{83} +(3.51486 - 14.4942i) q^{84} +(0.223929 - 0.174953i) q^{85} +(-1.08260 + 15.4820i) q^{86} +(17.1461 - 4.39241i) q^{87} +(26.4619 + 2.05425i) q^{88} +(11.2798 - 6.51241i) q^{89} +(-4.72876 + 1.24389i) q^{90} +(-2.18199 - 0.463796i) q^{91} +(21.4750 - 8.67647i) q^{92} +(-1.66889 + 8.10778i) q^{93} +(-14.3324 - 14.8416i) q^{94} +(-0.369238 - 0.196328i) q^{95} +(-22.4029 - 7.12003i) q^{96} +(1.89794 - 7.61221i) q^{97} +(5.37620 - 9.31185i) q^{98} +(-9.86013 - 1.33338i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 816 q - 30 q^{2} - 18 q^{3} - 18 q^{4} - 21 q^{5} - 30 q^{6} - 30 q^{7} - 45 q^{8} - 36 q^{9}+O(q^{10}) $ 816 * q - 30 * q^2 - 18 * q^3 - 18 * q^4 - 21 * q^5 - 30 * q^6 - 30 * q^7 - 45 * q^8 - 36 * q^9	\( 816 q - 30 q^{2} - 18 q^{3} - 18 q^{4} - 21 q^{5} - 30 q^{6} - 30 q^{7} - 45 q^{8} - 36 q^{9} - 33 q^{11} - 30 q^{12} - 30 q^{13} - 18 q^{14} - 21 q^{15} - 30 q^{16} - 45 q^{17} - 15 q^{19} - 60 q^{20} - 15 q^{22} - 84 q^{23} - 30 q^{24} - 27 q^{25} + 36 q^{27} - 60 q^{28} + 60 q^{29} - 75 q^{30} - 9 q^{31} - 63 q^{33} - 42 q^{34} - 45 q^{35} + 36 q^{36} - 9 q^{37} - 18 q^{38} - 150 q^{39} - 90 q^{40} - 30 q^{41} - 66 q^{42} - 108 q^{44} + 24 q^{45} - 15 q^{46} - 6 q^{47} + 174 q^{48} - 18 q^{49} - 105 q^{50} - 30 q^{51} - 30 q^{52} - 48 q^{55} + 54 q^{56} - 75 q^{57} - 18 q^{58} + 81 q^{59} - 72 q^{60} - 30 q^{61} - 45 q^{62} - 30 q^{63} + 51 q^{64} - 75 q^{66} + 6 q^{67} - 225 q^{68} + 9 q^{69} - 93 q^{70} - 27 q^{71} - 30 q^{72} - 15 q^{73} - 30 q^{74} + 42 q^{75} - 141 q^{77} + 30 q^{78} - 30 q^{79} + 48 q^{81} - 36 q^{82} + 15 q^{83} + 90 q^{84} - 30 q^{85} + 93 q^{86} - 108 q^{88} + 54 q^{89} - 15 q^{90} - 9 q^{91} + 276 q^{92} + 87 q^{93} - 30 q^{94} + 90 q^{95} + 90 q^{96} - 81 q^{97} + 3 q^{99}+O(q^{100}) \) 816 * q - 30 * q^2 - 18 * q^3 - 18 * q^4 - 21 * q^5 - 30 * q^6 - 30 * q^7 - 45 * q^8 - 36 * q^9 - 33 * q^11 - 30 * q^12 - 30 * q^13 - 18 * q^14 - 21 * q^15 - 30 * q^16 - 45 * q^17 - 15 * q^19 - 60 * q^20 - 15 * q^22 - 84 * q^23 - 30 * q^24 - 27 * q^25 + 36 * q^27 - 60 * q^28 + 60 * q^29 - 75 * q^30 - 9 * q^31 - 63 * q^33 - 42 * q^34 - 45 * q^35 + 36 * q^36 - 9 * q^37 - 18 * q^38 - 150 * q^39 - 90 * q^40 - 30 * q^41 - 66 * q^42 - 108 * q^44 + 24 * q^45 - 15 * q^46 - 6 * q^47 + 174 * q^48 - 18 * q^49 - 105 * q^50 - 30 * q^51 - 30 * q^52 - 48 * q^55 + 54 * q^56 - 75 * q^57 - 18 * q^58 + 81 * q^59 - 72 * q^60 - 30 * q^61 - 45 * q^62 - 30 * q^63 + 51 * q^64 - 75 * q^66 + 6 * q^67 - 225 * q^68 + 9 * q^69 - 93 * q^70 - 27 * q^71 - 30 * q^72 - 15 * q^73 - 30 * q^74 + 42 * q^75 - 141 * q^77 + 30 * q^78 - 30 * q^79 + 48 * q^81 - 36 * q^82 + 15 * q^83 + 90 * q^84 - 30 * q^85 + 93 * q^86 - 108 * q^88 + 54 * q^89 - 15 * q^90 - 9 * q^91 + 276 * q^92 + 87 * q^93 - 30 * q^94 + 90 * q^95 + 90 * q^96 - 81 * q^97 + 3 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/297\mathbb{Z}\right)^\times$.

$n$	$56$	$244$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{3}{10}\right)$

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 $

$2$	1.90595	+	1.84056i	1.34771	+	1.30147i	0.916949	+	0.399005i	$0.130645\pi$
$2$	1.90595	+	1.84056i	1.34771	+	1.30147i	0.430763	+	0.902465i	$0.358244\pi$
$3$	1.60172	−	0.659162i	0.924753	−	0.380567i
$3$	1.60172	−	0.659162i	0.924753	−	0.380567i
$4$	0.175206	+	5.01725i	0.0876031	+	2.50862i
$5$	−0.596870	+	0.148816i	−0.266928	+	0.0665527i	−0.373087	−	0.927797i	$-0.621701\pi$
$5$	−0.596870	+	0.148816i	−0.266928	+	0.0665527i	0.106158	+	0.994349i	$0.466145\pi$
$6$	4.26603	+	1.69173i	1.74160	+	0.690644i
$7$	−1.35158	−	1.05597i	−0.510851	−	0.399120i	0.326996	−	0.945026i	$-0.393964\pi$
$7$	−1.35158	−	1.05597i	−0.510851	−	0.399120i	−0.837847	+	0.545905i	$0.816186\pi$
$8$	−5.35476	+	5.94706i	−1.89319	+	2.10260i
$9$	2.13101	−	2.11158i	0.710337	−	0.703861i
$10$	−1.41151	−	0.814937i	−0.446359	−	0.257706i
$11$	−2.02183	−	2.62910i	−0.609606	−	0.792705i
$11$	−2.02183	−	2.62910i	−0.609606	−	0.792705i
$12$	3.58781	+	7.92073i	1.03571	+	2.28652i
$13$	1.16895	−	0.570137i	0.324210	−	0.158128i	−0.269077	−	0.963119i	$-0.586719\pi$
$13$	1.16895	−	0.570137i	0.324210	−	0.158128i	0.593287	+	0.804991i	$0.297830\pi$
$14$	−0.632476	−	4.50030i	−0.169036	−	1.20276i
$15$	−0.857925	+	0.631796i	−0.221515	+	0.163129i
$16$	−11.1357	+	0.778681i	−2.78392	+	0.194670i
$17$	−0.422020	+	0.187896i	−0.102355	+	0.0455714i	−0.457275	−	0.889325i	$-0.651175\pi$
$17$	−0.422020	+	0.187896i	−0.102355	+	0.0455714i	0.354920	+	0.934897i	$0.384508\pi$
$18$	7.94810	−	0.102330i	1.87338	−	0.0241195i
$19$	0.505207	+	0.454891i	0.115902	+	0.104359i	0.725044	−	0.688702i	$-0.241819\pi$
$19$	0.505207	+	0.454891i	0.115902	+	0.104359i	−0.609142	+	0.793061i	$0.708486\pi$
$20$	−0.851224	−	2.96857i	−0.190340	−	0.663793i
$21$	−2.86092	−	0.800461i	−0.624303	−	0.174675i
$22$	0.985499	−	8.73225i	0.210109	−	1.86172i
$23$	−1.57794	−	4.33534i	−0.329022	−	0.903982i	−0.988360	−	0.152134i	$-0.951385\pi$
$23$	−1.57794	−	4.33534i	−0.329022	−	0.903982i	0.659337	−	0.751847i	$-0.270837\pi$
$24$	−4.65675	+	13.0552i	−0.950554	+	2.66488i
$25$	−4.08063	+	2.16971i	−0.816126	+	0.433942i
$26$	3.27734	+	1.06487i	0.642740	+	0.208839i
$27$	2.02141	−	4.78685i	0.389020	−	0.921229i
$28$	5.06127	−	6.96624i	0.956491	−	1.31650i
$29$	10.1195	+	1.42220i	1.87914	+	0.264096i	0.983531	−	0.180740i	$-0.0578492\pi$
$29$	10.1195	+	1.42220i	1.87914	+	0.264096i	0.895612	+	0.444836i	$0.146738\pi$
$30$	−2.79802	−	0.374886i	−0.510846	−	0.0684445i
$31$	−2.67248	+	3.96211i	−0.479991	+	0.711616i	−0.988797	−	0.149265i	$-0.952309\pi$
$31$	−2.67248	+	3.96211i	−0.479991	+	0.711616i	0.508806	+	0.860881i	$0.330087\pi$
$32$	−10.3966	−	8.72380i	−1.83788	−	1.54216i
$33$	−4.97141	−	2.87837i	−0.865412	−	0.501061i
$34$	−1.15018	−	0.418632i	−0.197255	−	0.0717949i
$35$	0.963866	+	0.429141i	0.162923	+	0.0725381i
$36$	10.9677	+	10.3219i	1.82795	+	1.72031i
$37$	4.81972	+	5.35285i	0.792358	+	0.880003i	0.995064	−	0.0992371i	$-0.0316402\pi$
$37$	4.81972	+	5.35285i	0.792358	+	0.880003i	−0.202706	+	0.979240i	$0.564974\pi$
$38$	0.125649	+	1.79686i	0.0203829	+	0.291490i
$39$	1.49653	−	1.68373i	0.239636	−	0.269613i
$40$	2.31107	−	4.34650i	0.365413	−	0.687242i
$41$	−9.35861	+	1.31527i	−1.46157	+	0.205410i	−0.824704	−	0.565565i	$-0.808658\pi$
$41$	−9.35861	+	1.31527i	−1.46157	+	0.205410i	−0.636866	+	0.770975i	$0.719769\pi$
$42$	−3.97948	−	6.79132i	−0.614046	−	1.04792i
$43$	3.76508	+	4.48705i	0.574170	+	0.684269i	0.972481	−	0.232981i	$-0.0748481\pi$
$43$	3.76508	+	4.48705i	0.574170	+	0.684269i	−0.398311	+	0.917250i	$0.630404\pi$
$44$	12.8366	−	10.6047i	1.93519	−	1.59871i
$45$	−0.957699	+	1.57747i	−0.142765	+	0.235156i
$46$	4.97198	−	11.1672i	0.733078	−	1.64652i
$47$	−7.78223	−	0.271762i	−1.13516	−	0.0396405i	−0.538852	−	0.842400i	$-0.681142\pi$
$47$	−7.78223	−	0.271762i	−1.13516	−	0.0396405i	−0.596303	+	0.802760i	$0.703364\pi$
$48$	−17.3229	+	8.58743i	−2.50035	+	1.23949i
$49$	−0.981753	−	3.93760i	−0.140250	−	0.562514i
$50$	−11.7710	−	3.37527i	−1.66467	−	0.477335i
$51$	−0.552105	+	0.579135i	−0.0773101	+	0.0810952i
$52$	3.06533	+	5.76504i	0.425084	+	0.799468i
$53$	−3.92774	−	5.40607i	−0.539517	−	0.742581i	0.449027	−	0.893518i	$-0.351771\pi$
$53$	−3.92774	−	5.40607i	−0.539517	−	0.742581i	−0.988543	+	0.150938i	$0.951771\pi$
$54$	12.6632	−	5.40299i	1.72324	−	0.735253i
$55$	1.59803	+	1.26835i	0.215478	+	0.171025i
$56$	13.5173	−	2.38347i	1.80633	−	0.318505i
$57$	1.10905	+	0.395594i	0.146897	+	0.0523977i
$58$	16.6696	+	21.3362i	2.18883	+	2.80157i
$59$	−6.29133	−	10.0682i	−0.819061	−	1.31077i	−0.947727	−	0.319083i	$-0.896625\pi$
$59$	−6.29133	−	10.0682i	−0.819061	−	1.31077i	0.128666	−	0.991688i	$-0.458931\pi$
$60$	−3.32019	−	4.19373i	−0.428635	−	0.541408i
$61$	4.72808	−	3.18913i	0.605369	−	0.408326i	−0.217906	−	0.975970i	$-0.569923\pi$
$61$	4.72808	−	3.18913i	0.605369	−	0.408326i	0.823275	+	0.567643i	$0.192145\pi$
$62$	−12.3861	+	2.63275i	−1.57304	+	0.334359i
$63$	−5.11002	+	0.603692i	−0.643802	+	0.0760580i
$64$	−1.42514	−	13.5593i	−0.178143	−	1.69491i
$65$	−0.612868	+	0.514258i	−0.0760170	+	0.0637858i
$66$	−4.17747	−	14.6362i	−0.514211	−	1.80159i
$67$	0.459764	−	2.60745i	0.0561691	−	0.318551i	−0.943758	−	0.330637i	$-0.892736\pi$
$67$	0.459764	−	2.60745i	0.0561691	−	0.318551i	0.999927	+	0.0120867i	$0.00384742\pi$
$68$	−1.01666	−	2.08446i	−0.123288	−	0.252778i
$69$	−5.38510	−	5.90389i	−0.648290	−	0.710745i
$70$	1.04723	+	2.59197i	0.125167	+	0.309800i
$71$	4.57064	+	10.2658i	0.542436	+	1.21833i	0.952014	+	0.306055i	$0.0990092\pi$
$71$	4.57064	+	10.2658i	0.542436	+	1.21833i	−0.409578	+	0.912275i	$0.634324\pi$
$72$	1.14667	+	23.9803i	0.135136	+	2.82610i
$73$	3.33968	+	15.7120i	0.390880	+	1.83895i	0.529118	+	0.848548i	$0.322523\pi$
$73$	3.33968	+	15.7120i	0.390880	+	1.83895i	−0.138238	+	0.990399i	$0.544144\pi$
$74$	−0.666053	+	19.0733i	−0.0774270	+	2.21722i
$75$	−5.10584	+	6.16506i	−0.589571	+	0.711880i
$76$	−2.19378	+	2.61445i	−0.251644	+	0.299898i
$77$	−0.0435864	+	5.68846i	−0.00496714	+	0.648260i
$78$	5.95131	−	0.454670i	0.673853	−	0.0514812i
$79$	0.817920	−	0.846981i	0.0920232	−	0.0952928i	−0.671749	−	0.740779i	$-0.734456\pi$
$79$	0.817920	−	0.846981i	0.0920232	−	0.0952928i	0.763772	+	0.645486i	$0.223345\pi$
$80$	6.53066	−	2.12194i	0.730151	−	0.237240i
$81$	0.0824242	−	8.99962i	0.00915824	−	0.999958i
$82$	−20.2579	−	14.7182i	−2.23711	−	1.62536i
$83$	−7.00971	+	14.3720i	−0.769416	+	1.57754i	0.0461928	+	0.998933i	$0.485291\pi$
$83$	−7.00971	+	14.3720i	−0.769416	+	1.57754i	−0.815609	+	0.578604i	$0.803598\pi$
$84$	3.51486	−	14.4942i	0.383503	−	1.58144i
$85$	0.223929	−	0.174953i	0.0242885	−	0.0189763i
$86$	−1.08260	+	15.4820i	−0.116740	+	1.66946i
$87$	17.1461	−	4.39241i	1.83825	−	0.470916i
$88$	26.4619	+	2.05425i	2.82084	+	0.218984i
$89$	11.2798	−	6.51241i	1.19566	−	0.690314i	0.236074	−	0.971735i	$-0.424139\pi$
$89$	11.2798	−	6.51241i	1.19566	−	0.690314i	0.959584	+	0.281422i	$0.0908059\pi$
$90$	−4.72876	+	1.24389i	−0.498455	+	0.131117i
$91$	−2.18199	−	0.463796i	−0.228735	−	0.0486191i
$92$	21.4750	−	8.67647i	2.23893	−	0.904585i
$93$	−1.66889	+	8.10778i	−0.173056	+	0.840738i
$94$	−14.3324	−	14.8416i	−1.47827	−	1.53079i
$95$	−0.369238	−	0.196328i	−0.0378831	−	0.0201428i
$96$	−22.4029	−	7.12003i	−2.28648	−	0.726685i
$97$	1.89794	−	7.61221i	0.192706	−	0.772903i	−0.793663	−	0.608357i	$-0.791829\pi$
$97$	1.89794	−	7.61221i	0.192706	−	0.772903i	0.986370	−	0.164545i	$-0.0526157\pi$
$98$	5.37620	−	9.31185i	0.543078	−	0.940639i
$99$	−9.86013	−	1.33338i	−0.990980	−	0.134010i
$100$	−11.6009	−	20.0934i	−1.16009	−	2.00934i
$101$	−1.38305	+	0.396583i	−0.137619	+	0.0394615i	−0.343740	−	0.939065i	$-0.611694\pi$
$101$	−1.38305	+	0.396583i	−0.137619	+	0.0394615i	0.206121	+	0.978527i	$0.433916\pi$
$102$	−2.11822	+	0.0876247i	−0.209735	+	0.00867614i
$103$	4.92884	−	3.07988i	0.485653	−	0.303470i	−0.264905	−	0.964275i	$-0.585340\pi$
$103$	4.92884	−	3.07988i	0.485653	−	0.303470i	0.750558	+	0.660805i	$0.229785\pi$
$104$	−2.86883	+	10.0048i	−0.281312	+	0.981050i
$105$	1.82672	+	0.0520198i	0.178269	+	0.00507662i
$106$	2.46409	−	17.5329i	0.239334	−	1.70295i
$107$	−3.36033	−	10.3420i	−0.324856	−	0.999803i	−0.971506	−	0.237016i	$-0.923831\pi$
$107$	−3.36033	−	10.3420i	−0.324856	−	0.999803i	0.646650	−	0.762787i	$-0.276169\pi$
$108$	24.3710	+	9.30322i	2.34510	+	0.895203i
$109$			8.12587i			0.778318i	0.921171	+	0.389159i	$0.127234\pi$
$109$			8.12587i			0.778318i	−0.921171	+	0.389159i	$0.872766\pi$
$110$	0.711287	+	5.35868i	0.0678186	+	0.510930i
$111$	11.2482	+	5.39678i	1.06764	+	0.512240i
$112$	15.8731	+	10.7065i	1.49986	+	1.01167i
$113$	5.12737	+	2.07159i	0.482343	+	0.194879i	0.602883	−	0.797829i	$-0.294018\pi$
$113$	5.12737	+	2.07159i	0.482343	+	0.194879i	−0.120541	+	0.992708i	$0.538463\pi$
$114$	1.38568	+	2.79525i	0.129781	+	0.261799i
$115$	1.58699	+	2.35281i	0.147988	+	0.219401i
$116$	−5.36254	+	51.0212i	−0.497900	+	4.73720i
$117$	1.28716	−	3.68332i	0.118998	−	0.340523i
$118$	6.54018	−	30.7691i	0.602072	−	2.83253i
$119$	0.768808	+	0.191685i	0.0704766	+	0.0175718i
$120$	0.836648	−	8.48524i	0.0763752	−	0.774593i
$121$	−2.82438	+	10.6312i	−0.256762	+	0.966475i
$122$	14.8813	+	2.62397i	1.34729	+	0.237563i
$123$	−14.1229	+	8.27553i	−1.27342	+	0.746179i
$124$	−20.3471	−	12.7143i	−1.82723	−	1.14178i
$125$	4.39842	−	3.96035i	0.393406	−	0.354225i
$126$	−10.8506	−	8.25467i	−0.966647	−	0.735385i
$127$	14.1913	+	1.49157i	1.25928	+	0.132355i	0.710551	−	0.703646i	$-0.248446\pi$
$127$	14.1913	+	1.49157i	1.25928	+	0.132355i	0.548727	+	0.836001i	$0.315113\pi$
$128$	5.52915	−	7.07699i	0.488712	−	0.625523i
$129$	8.98830	+	4.70520i	0.791376	+	0.414270i
$130$	−2.11462	−	0.147869i	−0.185464	−	0.0129689i
$131$	−14.2204	+	5.17580i	−1.24244	+	0.452211i	−0.877841	−	0.478953i	$-0.841016\pi$
$131$	−14.2204	+	5.17580i	−1.24244	+	0.452211i	−0.364600	+	0.931164i	$0.618794\pi$
$132$	13.5705	−	25.4471i	1.18116	−	2.21489i
$133$	−0.202478	−	1.14831i	−0.0175570	−	0.0995710i
$134$	5.67545	−	4.12345i	0.490284	−	0.356212i
$135$	−0.494157	+	3.15795i	−0.0425303	+	0.271793i
$136$	1.14239	−	3.51591i	0.0979591	−	0.301487i
$137$	−18.5152	−	9.03045i	−1.58186	−	0.771524i	−0.582705	−	0.812684i	$-0.698006\pi$
$137$	−18.5152	−	9.03045i	−1.58186	−	0.771524i	−0.999153	+	0.0411598i	$0.986895\pi$
$138$	0.602696	−	21.1641i	0.0513049	−	1.80161i
$139$	−0.0210034		0.000733455i	−0.00178148		6.22108e-5i	−0.0357902	−	0.999359i	$-0.511395\pi$
$139$	−0.0210034		0.000733455i	−0.00178148		6.22108e-5i	0.0340087	+	0.999422i	$0.489173\pi$
$140$	−1.98423	+	4.91114i	−0.167698	+	0.415067i
$141$	−12.6441	+	4.69446i	−1.06482	+	0.395345i
$142$	−10.1834	+	27.9787i	−0.854574	+	2.34792i
$143$	−3.86238	−	1.92058i	−0.322989	−	0.160607i
$144$	−22.0860	+	25.1733i	−1.84050	+	2.09777i
$145$	−6.25167	+	0.657077i	−0.519173	+	0.0545673i
$146$	−22.5535	+	36.0931i	−1.86654	+	2.98709i
$147$	−4.16801	−	5.65979i	−0.343771	−	0.466812i
$148$	−26.0121	+	25.1196i	−2.13818	+	2.06482i
$149$	7.00310	−	6.76281i	0.573716	−	0.554031i	−0.350176	−	0.936684i	$-0.613878\pi$
$149$	7.00310	−	6.76281i	0.573716	−	0.554031i	0.923892	+	0.382653i	$0.124989\pi$
$150$	−21.0786	+	2.35273i	−1.72106	+	0.192100i
$151$	0.131974	−	0.211203i	0.0107399	−	0.0171875i	−0.842635	−	0.538486i	$-0.818997\pi$
$151$	0.131974	−	0.211203i	0.0107399	−	0.0171875i	0.853375	+	0.521298i	$0.174552\pi$
$152$	−5.41052	+	0.568669i	−0.438851	+	0.0461251i
$153$	−0.502573	+	1.29154i	−0.0406306	+	0.104415i
$154$	−10.5530	+	10.7617i	−0.850385	+	0.867203i
$155$	1.00549	−	2.76257i	0.0807633	−	0.221895i
$156$	8.70989	+	7.21344i	0.697349	+	0.577537i
$157$	−1.63793	+	4.05402i	−0.130721	+	0.323546i	−0.978322	−	0.207088i	$-0.933601\pi$
$157$	−1.63793	+	4.05402i	−0.130721	+	0.323546i	0.847601	+	0.530633i	$0.178046\pi$
$158$	3.11783	−	0.108877i	0.248042	−	0.00866180i
$159$	−9.85461	−	6.06999i	−0.781522	−	0.481382i
$160$	7.50368	+	3.65979i	0.593218	+	0.289332i
$161$	−2.44529	+	7.52584i	−0.192716	+	0.593119i
$162$	16.7214	−	17.0011i	1.31376	−	1.33574i
$163$	0.657814	−	0.477930i	0.0515240	−	0.0374343i	−0.561725	−	0.827324i	$-0.689862\pi$
$163$	0.657814	−	0.477930i	0.0515240	−	0.0374343i	0.613249	+	0.789890i	$0.289862\pi$
$164$	−8.23871	−	46.7240i	−0.643335	−	3.64853i
$165$	3.39564	+	0.978187i	0.264350	+	0.0761518i
$166$	−39.8127	+	14.4907i	−3.09007	+	1.12469i
$167$	7.70276	+	0.538629i	0.596057	+	0.0416804i	0.364599	−	0.931165i	$-0.381206\pi$
$167$	7.70276	+	0.538629i	0.596057	+	0.0416804i	0.231458	+	0.972845i	$0.425650\pi$
$168$	20.0799	−	12.7278i	1.54920	−	0.981968i
$169$	−6.96220	+	8.91121i	−0.535554	+	0.685478i
$170$	0.748809	+	0.0787030i	0.0574311	+	0.00603625i
$171$	2.03714	−	0.0974102i	0.155784	−	0.00744915i
$172$	−21.8530	+	19.6765i	−1.66627	+	1.50032i
$173$	1.84933	+	1.15559i	0.140602	+	0.0878580i	0.598396	−	0.801200i	$-0.295805\pi$
$173$	1.84933	+	1.15559i	0.140602	+	0.0878580i	−0.457794	+	0.889058i	$0.651360\pi$
$174$	40.7641	+	23.1866i	3.09031	+	1.75777i
$175$	7.80647	+	1.37649i	0.590114	+	0.104053i
$176$	24.5617	+	27.7025i	1.85141	+	2.08815i
$177$	−16.7135	−	11.9795i	−1.25627	−	0.900433i
$178$	33.4852	+	8.34881i	2.50983	+	0.625770i
$179$	−0.427129	+	2.00948i	−0.0319251	+	0.150196i	−0.991223	−	0.132200i	$-0.957796\pi$
$179$	−0.427129	+	2.00948i	−0.0319251	+	0.150196i	0.959298	+	0.282396i	$0.0911292\pi$
$180$	−8.08236	−	4.52863i	−0.602423	−	0.337544i
$181$	0.101364	−	0.964411i	0.00753430	−	0.0716841i	−0.990109	−	0.140303i	$-0.955192\pi$
$181$	0.101364	−	0.964411i	0.00753430	−	0.0716841i	0.997643	+	0.0686185i	$0.0218591\pi$
$182$	−3.30513	−	4.90005i	−0.244992	−	0.363216i
$183$	5.47091	−	8.22466i	0.404421	−	0.607985i
$184$	34.2320	+	13.8306i	2.52362	+	1.01961i
$185$	−3.67334	−	2.47770i	−0.270069	−	0.182164i
$186$	−18.1037	+	12.3814i	−1.32742	+	0.907846i
$187$	1.34725	+	0.729642i	0.0985208	+	0.0533567i
$188$		−	39.0930i		−	2.85115i
$189$	−7.78689	+	4.33527i	−0.566413	+	0.315345i
$190$	−0.342399	−	1.05380i	−0.0248402	−	0.0764503i
$191$	1.11542	−	7.93660i	0.0807087	−	0.574273i	−0.907371	−	0.420330i	$-0.861914\pi$
$191$	1.11542	−	7.93660i	0.0807087	−	0.574273i	0.988080	−	0.153942i	$-0.0491969\pi$
$192$	−11.2205	−	20.7788i	−0.809767	−	1.49958i
$193$	−2.47720	+	8.63903i	−0.178313	+	0.621851i	0.820431	+	0.571746i	$0.193734\pi$
$193$	−2.47720	+	8.63903i	−0.178313	+	0.621851i	−0.998744	+	0.0501056i	$0.984044\pi$
$194$	17.6281	−	11.0152i	1.26562	−	0.790849i
$195$	−0.642664	+	1.22768i	−0.0460222	+	0.0879157i
$196$	19.5839	−	5.61559i	1.39885	−	0.401114i
$197$	9.22560	+	15.9792i	0.657297	+	1.13847i	0.981313	+	0.192420i	$0.0616335\pi$
$197$	9.22560	+	15.9792i	0.657297	+	1.13847i	−0.324016	+	0.946052i	$0.605033\pi$
$198$	−16.3388	−	20.6895i	−1.16115	−	1.47034i
$199$	0.564555	−	0.977838i	0.0400202	−	0.0693171i	−0.845321	−	0.534258i	$-0.820591\pi$
$199$	0.564555	−	0.977838i	0.0400202	−	0.0693171i	0.885342	+	0.464941i	$0.153924\pi$
$200$	8.94739	−	35.8860i	0.632676	−	2.53752i
$201$	−0.982318	−	4.47946i	−0.0692874	−	0.315957i
$202$	−3.36596	−	1.78971i	−0.236828	−	0.125924i
$203$	−12.1755	−	12.6081i	−0.854555	−	0.884918i
$204$	−3.00240	−	2.66858i	−0.210210	−	0.186838i
$205$	5.39014	−	2.17776i	0.376464	−	0.152101i
$206$	15.0628	+	3.20170i	1.04948	+	0.223073i
$207$	−12.5170	−	5.90672i	−0.869995	−	0.410546i
$208$	−12.5731	+	7.25910i	−0.871790	+	0.503328i
$209$	0.174510	−	2.24796i	0.0120711	−	0.155494i
$210$	3.38589	+	3.46132i	0.233649	+	0.238854i
$211$	0.824810	−	11.7953i	0.0567823	−	0.812025i	−0.882810	−	0.469730i	$-0.844351\pi$
$211$	0.824810	−	11.7953i	0.0567823	−	0.812025i	0.939593	−	0.342295i	$-0.111204\pi$
$212$	26.4354	−	20.6536i	1.81559	−	1.41850i
$213$	14.0877	+	13.4302i	0.965275	+	0.920222i
$214$	12.6305	−	25.8963i	0.863402	−	1.77024i
$215$	−2.91501	−	2.11788i	−0.198802	−	0.144438i
$216$	17.6435	+	37.6538i	1.20049	+	2.56202i
$217$	7.79596	−	2.53306i	0.529224	−	0.171955i
$218$	−14.9561	+	15.4875i	−1.01296	+	1.04895i
$219$	15.7060	+	22.9648i	1.06131	+	1.55182i
$220$	−6.08365	+	8.23991i	−0.410160	+	0.555535i
$221$	−0.386196	+	0.460251i	−0.0259784	+	0.0309598i
$222$	11.5055	+	30.9890i	0.772200	+	2.07985i
$223$	0.943706	−	27.0242i	0.0631952	−	1.80967i	−0.392728	−	0.919655i	$-0.628468\pi$
$223$	0.943706	−	27.0242i	0.0631952	−	1.80967i	0.455923	−	0.890019i	$-0.349309\pi$
$224$	4.83981	+	22.7695i	0.323373	+	1.52135i
$225$	−4.11435	+	13.2403i	−0.274290	+	0.882685i
$226$	5.95964	+	13.3856i	0.396430	+	0.890396i
$227$	−4.64921	−	11.5072i	−0.308579	−	0.763760i	−0.999179	−	0.0405229i	$-0.987098\pi$
$227$	−4.64921	−	11.5072i	−0.308579	−	0.763760i	0.690599	−	0.723238i	$-0.257347\pi$
$228$	−1.79048	+	5.63367i	−0.118578	+	0.373099i
$229$	8.36794	+	17.1568i	0.552969	+	1.13375i	0.973966	+	0.226693i	$0.0727913\pi$
$229$	8.36794	+	17.1568i	0.552969	+	1.13375i	−0.420997	+	0.907062i	$0.638320\pi$
$230$	−1.30576	+	7.40531i	−0.0860989	+	0.488291i
$231$	3.67980	+	9.14004i	0.242113	+	0.601371i
$232$	−62.6453	+	52.5657i	−4.11287	+	3.45111i
$233$	0.583211	+	5.54888i	0.0382074	+	0.363519i	0.996875	+	0.0789917i	$0.0251700\pi$
$233$	0.583211	+	5.54888i	0.0382074	+	0.363519i	−0.958668	+	0.284528i	$0.908163\pi$
$234$	9.23262	−	4.65113i	0.603556	−	0.304054i
$235$	4.68543	−	0.995918i	0.305643	−	0.0649665i
$236$	49.4125	−	33.3292i	3.21648	−	2.16954i
$237$	0.751781	−	1.89577i	0.0488334	−	0.123143i
$238$	1.11250	+	1.78038i	0.0721129	+	0.115405i
$239$	−3.88440	−	4.97180i	−0.251261	−	0.321599i	0.645800	−	0.763507i	$-0.276524\pi$
$239$	−3.88440	−	4.97180i	−0.251261	−	0.321599i	−0.897061	+	0.441908i	$0.854302\pi$
$240$	9.06159	−	7.70352i	0.584923	−	0.497260i
$241$	4.00179	−	0.705624i	0.257778	−	0.0454532i	−0.0432656	−	0.999064i	$-0.513776\pi$
$241$	4.00179	−	0.705624i	0.257778	−	0.0454532i	0.301044	+	0.953610i	$0.402665\pi$
$242$	−24.9505	+	15.0642i	−1.60388	+	0.968361i
$243$	−5.80019	−	14.4692i	−0.372082	−	0.928200i
$244$	16.8290	+	23.1632i	1.07737	+	1.48287i
$245$	1.17196	+	2.20413i	0.0748737	+	0.140817i
$246$	−42.1492	−	10.2212i	−2.68733	−	0.651682i
$247$	0.849914	+	0.243709i	0.0540788	+	0.0155068i
$248$	−9.25244	−	37.1095i	−0.587531	−	2.35646i
$249$	−1.75410	+	27.6405i	−0.111161	+	1.75165i
$250$	15.6724	+	0.547293i	0.991212	+	0.0346139i
$251$	7.95464	−	17.8664i	0.502092	−	1.12772i	−0.467723	−	0.883875i	$-0.654925\pi$
$251$	7.95464	−	17.8664i	0.502092	−	1.12772i	0.969815	−	0.243842i	$-0.0784080\pi$
$252$	−3.92418	−	25.5325i	−0.247200	−	1.60839i
$253$	−8.20775	+	12.9139i	−0.516017	+	0.811890i
$254$	24.3027	+	28.9628i	1.52489	+	1.81729i
$255$	0.243350	−	0.427831i	0.0152392	−	0.0267918i
$256$	−3.43876	+	0.483286i	−0.214922	+	0.0302054i
$257$	−0.0826412	+	0.155425i	−0.00515502	+	0.00969518i	−0.885512	−	0.464617i	$-0.846192\pi$
$257$	−0.0826412	+	0.155425i	−0.00515502	+	0.00969518i	0.880357	+	0.474312i	$0.157303\pi$
$258$	8.47108	+	25.5114i	0.527387	+	1.58827i
$259$	−0.861801	−	12.3243i	−0.0535497	−	0.765796i
$260$	−2.68754	−	2.98481i	−0.166674	−	0.185110i
$261$	24.5679	−	18.3374i	1.52071	−	1.13506i
$262$	−36.6297	−	16.3086i	−2.26299	−	1.00755i
$263$	14.6793	+	5.34285i	0.905167	+	0.329454i	0.752322	−	0.658796i	$-0.228934\pi$
$263$	14.6793	+	5.34285i	0.905167	+	0.329454i	0.152846	+	0.988250i	$0.451156\pi$
$264$	43.7386	−	14.1523i	2.69192	−	0.871014i
$265$	3.14886	+	2.64221i	0.193433	+	0.162310i
$266$	1.72761	−	2.56129i	0.105927	−	0.157043i
$267$	13.7744	−	17.8663i	0.842978	−	1.09340i
$268$	13.1628	+	1.84991i	0.804044	+	0.113001i
$269$	3.43294	−	4.72504i	0.209310	−	0.288091i	−0.691435	−	0.722439i	$-0.743021\pi$
$269$	3.43294	−	4.72504i	0.209310	−	0.288091i	0.900745	+	0.434348i	$0.143021\pi$
$270$	−6.75422	+	5.10937i	−0.411049	+	0.310946i
$271$	−0.0396553	−	0.0128848i	−0.00240889	−	0.000782695i	0.307812	−	0.951447i	$-0.400403\pi$
$271$	−0.0396553	−	0.0128848i	−0.00240889	−	0.000782695i	−0.310221	+	0.950664i	$0.600403\pi$
$272$	4.55316	−	2.42096i	0.276076	−	0.146792i
$273$	−3.80065	+	0.695412i	−0.230026	+	0.0420883i
$274$	−18.6680	−	51.2898i	−1.12777	−	3.09853i
$275$	13.9547	+	6.34161i	0.841503	+	0.382414i
$276$	28.6778	−	28.0528i	1.72620	−	1.68858i
$277$	1.87811	+	6.54975i	0.112845	+	0.393536i	0.997330	−	0.0730326i	$-0.0232677\pi$
$277$	1.87811	+	6.54975i	0.112845	+	0.393536i	−0.884485	+	0.466569i	$0.845490\pi$
$278$	−0.0413814	−	0.0372600i	−0.00248189	−	0.00223471i
$279$	2.67125	+	14.0865i	0.159923	+	0.843334i
$280$	−7.71340	+	3.43423i	−0.460964	+	0.205234i
$281$	26.6226	−	1.86163i	1.58817	−	0.111056i	0.751863	−	0.659319i	$-0.229155\pi$
$281$	26.6226	−	1.86163i	1.58817	−	0.111056i	0.836305	+	0.548264i	$0.184711\pi$
$282$	−32.7395	−	14.3247i	−1.94961	−	0.853026i
$283$	−2.70610	−	19.2549i	−0.160861	−	1.14459i	−0.888584	−	0.458714i	$-0.848310\pi$
$283$	−2.70610	−	19.2549i	−0.160861	−	1.14459i	0.727723	−	0.685871i	$-0.240579\pi$
$284$	−50.7054	+	24.7307i	−3.00881	+	1.46750i
$285$	−0.720828	−	0.0710739i	−0.0426982	−	0.00421006i
$286$	−3.82658	−	10.7695i	−0.226270	−	0.636812i
$287$	14.0378	+	8.10475i	0.828627	+	0.478408i
$288$	−40.5764	+	3.36282i	−2.39099	+	0.198156i
$289$	−11.2324	+	12.4749i	−0.660731	+	0.733816i
$290$	−13.1248	−	10.2542i	−0.770713	−	0.602147i
$291$	−1.97771	−	13.4437i	−0.115936	−	0.788082i
$292$	−78.2457	+	19.5088i	−4.57898	+	1.14167i
$293$	−0.667015	−	19.1008i	−0.0389674	−	1.11588i	−0.848630	−	0.528986i	$-0.822572\pi$
$293$	−0.667015	−	19.1008i	−0.0389674	−	1.11588i	0.809663	−	0.586895i	$-0.199650\pi$
$294$	2.47315	−	18.4588i	0.144237	−	1.07654i
$295$	5.25342	+	5.07317i	0.305866	+	0.295371i
$296$	−57.6422			−3.35038
$297$	−16.6721	+	4.36371i	−0.967412	+	0.253208i
$298$	25.7949			1.49426
$299$	−4.31628	−	4.16818i	−0.249617	−	0.241052i
$300$	−31.8262	−	24.5371i	−1.83749	−	1.41665i
$301$	−0.350620	−	10.0405i	−0.0202094	−	0.578722i
$302$	0.640268	−	0.159637i	0.0368433	−	0.00918606i
$303$	−1.95385	+	1.54687i	−0.112246	+	0.0888653i
$304$	−5.98003	−	4.67211i	−0.342978	−	0.267964i
$305$	−2.34746	+	2.60711i	−0.134415	+	0.149283i
$306$	−3.33503	+	1.53660i	−0.190651	+	0.0878414i
$307$	0.669905	+	0.386770i	0.0382335	+	0.0220741i	0.518995	−	0.854777i	$-0.326306\pi$
$307$	0.669905	+	0.386770i	0.0382335	+	0.0220741i	−0.480761	+	0.876851i	$0.659640\pi$
$308$	−28.5480	+	0.777969i	−1.62668	+	0.0443289i
$309$	5.86448	−	8.18201i	0.333619	−	0.465458i
$310$	7.00110	−	3.41466i	0.397636	−	0.193940i
$311$	−2.25803	−	16.0667i	−0.128041	−	0.911060i	−0.943295	−	0.331956i	$-0.892291\pi$
$311$	−2.25803	−	16.0667i	−0.128041	−	0.911060i	0.815254	−	0.579104i	$-0.196597\pi$
$312$	1.99972	+	17.9159i	0.113212	+	1.01429i
$313$	14.3347	−	1.00238i	0.810247	−	0.0566580i	0.341378	−	0.939926i	$-0.389106\pi$
$313$	14.3347	−	1.00238i	0.810247	−	0.0566580i	0.468869	+	0.883268i	$0.344662\pi$
$314$	−10.5835	+	4.71206i	−0.597259	+	0.265917i
$315$	2.96018	−	1.12078i	0.166787	−	0.0631488i
$316$	4.39282	+	3.95531i	0.247115	+	0.222504i
$317$	6.02966	+	21.0279i	0.338659	+	1.18105i	0.927820	+	0.373029i	$0.121681\pi$
$317$	6.02966	+	21.0279i	0.338659	+	1.18105i	−0.589160	+	0.808016i	$0.700541\pi$
$318$	−7.61025	−	29.7071i	−0.426762	−	1.66589i
$319$	−16.7208	−	29.4807i	−0.936186	−	1.65060i
$320$	2.86847	+	7.88107i	0.160353	+	0.440565i
$321$	−12.1994	−	14.3500i	−0.680903	−	0.800941i
$322$	−18.5124	+	9.84319i	−1.03165	+	0.548540i
$323$	−0.298680	−	0.0970469i	−0.0166190	−	0.00539983i
$324$	45.1678	−	1.16325i	2.50932	−	0.0646248i
$325$	−3.53304	+	4.86281i	−0.195978	+	0.269740i
$326$	2.13342	+	0.299832i	0.118159	+	0.0166062i
$327$	5.35626	+	13.0154i	0.296202	+	0.719752i
$328$	42.2911	−	62.6992i	2.33514	−	3.46198i
$329$	10.2314	+	8.58514i	0.564074	+	0.473314i
$330$	4.67152	+	8.11425i	0.257159	+	0.446674i
$331$	8.23558	+	2.99751i	0.452668	+	0.164758i	0.558285	−	0.829649i	$-0.311459\pi$
$331$	8.23558	+	2.99751i	0.452668	+	0.164758i	−0.105617	+	0.994407i	$0.533682\pi$
$332$	−73.3362	−	32.6514i	−4.02485	−	1.79198i
$333$	21.5739	+	1.22973i	1.18224	+	0.0673885i
$334$	13.6897	+	15.2040i	0.749068	+	0.831924i
$335$	0.113612	+	1.62473i	0.00620729	+	0.0887684i
$336$	32.4815	+	6.68592i	1.77201	+	0.364747i
$337$	14.9002	−	28.0232i	0.811665	−	1.52652i	−0.0380484	−	0.999276i	$-0.512114\pi$
$337$	14.9002	−	28.0232i	0.811665	−	1.52652i	0.849714	−	0.527244i	$-0.176775\pi$
$338$	−29.6712	+	4.17002i	−1.61390	+	0.226819i
$339$	9.57813	−	0.0616558i	0.520213	−	0.00334868i
$340$	0.917015	+	1.09286i	0.0497321	+	0.0592684i
$341$	15.8201	−	0.984504i	0.856707	−	0.0533139i
$342$	4.06199	+	3.56382i	0.219647	+	0.192709i
$343$	−7.71447	+	17.3270i	−0.416542	+	0.935570i
$344$	−46.8459	−	1.63589i	−2.52576	−	0.0882015i
$345$	4.09280	+	2.72246i	0.220349	+	0.146573i
$346$	1.39781	+	5.60630i	0.0751467	+	0.301397i
$347$	−2.59593	−	0.744371i	−0.139357	−	0.0399599i	0.205234	−	0.978713i	$-0.434205\pi$
$347$	−2.59593	−	0.744371i	−0.139357	−	0.0399599i	−0.344591	+	0.938753i	$0.611982\pi$
$348$	25.0419	+	85.2564i	1.34239	+	4.57022i
$349$	−8.27583	−	15.5646i	−0.442995	−	0.833153i	−0.999997	−	0.00264120i	$-0.999159\pi$
$349$	−8.27583	−	15.5646i	−0.442995	−	0.833153i	0.557001	−	0.830512i	$-0.311952\pi$
$350$	12.3453	+	16.9918i	0.659881	+	0.908249i
$351$	−0.366225	−	6.74809i	−0.0195476	−	0.360186i
$352$	−1.91555	+	44.9719i	−0.102099	+	2.39701i
$353$	7.87364	−	1.38833i	0.419071	−	0.0738936i	0.0398636	−	0.999205i	$-0.487308\pi$
$353$	7.87364	−	1.38833i	0.419071	−	0.0738936i	0.379208	+	0.925312i	$0.376197\pi$
$354$	−9.80628	−	53.5945i	−0.521198	−	2.84852i
$355$	−4.25581	−	5.44718i	−0.225875	−	0.289106i
$356$	34.6506	+	55.4526i	1.83648	+	2.93898i
$357$	1.35777	−	0.199743i	0.0718607	−	0.0105715i
$358$	−4.51266	+	3.04383i	−0.238501	+	0.160871i
$359$	31.1299	−	6.61687i	1.64297	−	0.349225i	0.708626	−	0.705584i	$-0.249315\pi$
$359$	31.1299	−	6.61687i	1.64297	−	0.349225i	0.934349	+	0.356359i	$0.115982\pi$
$360$	−4.25307	−	14.1425i	−0.224157	−	0.745374i
$361$	−1.93773	−	18.4363i	−0.101986	−	0.970331i
$362$	1.96825	−	1.65156i	0.103449	−	0.0868038i
$363$	2.48383	+	18.8900i	0.130367	+	0.991466i
$364$	1.94468	−	11.0288i	0.101929	−	0.578068i
$365$	−4.33156	−	8.88101i	−0.226724	−	0.464853i
$366$	25.5653	−	5.60630i	1.33632	−	0.293046i
$367$	−4.96034	−	12.2773i	−0.258928	−	0.640869i	0.740589	−	0.671958i	$-0.234547\pi$
$367$	−4.96034	−	12.2773i	−0.258928	−	0.640869i	−0.999517	+	0.0310898i	$0.990102\pi$
$368$	20.9472	+	47.0482i	1.09195	+	2.45256i
$369$	−17.1660	+	22.5643i	−0.893627	+	1.17465i
$370$	−2.44087	−	11.4834i	−0.126895	−	0.596992i
$371$	−0.399995	+	11.4543i	−0.0207667	+	0.594680i
$372$	−40.9712	−	6.95269i	−2.12426	−	0.360480i
$373$	−20.1696	+	24.0372i	−1.04434	+	1.24460i	−0.0754405	+	0.997150i	$0.524036\pi$
$373$	−20.1696	+	24.0372i	−1.04434	+	1.24460i	−0.968901	+	0.247448i	$0.920408\pi$
$374$	1.22485	+	3.87036i	0.0633355	+	0.200131i
$375$	4.43452	−	9.24264i	0.228998	−	0.477288i
$376$	43.2881	−	44.8262i	2.23242	−	2.31173i
$377$	12.6401	−	4.10701i	0.650997	−	0.211522i
$378$	−22.8208	−	6.06938i	−1.17377	−	0.312175i
$379$	14.3649	+	10.4367i	0.737874	+	0.536097i	0.892045	−	0.451947i	$-0.149270\pi$
$379$	14.3649	+	10.4367i	0.737874	+	0.536097i	−0.154170	+	0.988044i	$0.549270\pi$
$380$	0.920331	−	1.88696i	0.0472120	−	0.0967989i
$381$	23.7137	−	6.96531i	1.21489	−	0.356844i
$382$	16.7337	−	13.0738i	0.856171	−	0.668914i
$383$	−0.256081	+	3.66213i	−0.0130851	+	0.187126i	0.986624	+	0.163012i	$0.0521210\pi$
$383$	−0.256081	+	3.66213i	−0.0130851	+	0.187126i	−0.999709	+	0.0241141i	$0.992323\pi$
$384$	4.19127	−	14.9799i	0.213885	−	0.764442i
$385$	−0.820521	−	3.40176i	−0.0418176	−	0.173370i
$386$	−20.6221	+	11.9062i	−1.04964	+	0.606007i
$387$	17.4982	+	1.61167i	0.889485	+	0.0819258i
$388$	38.5249	+	8.18871i	1.95580	+	0.415719i
$389$	2.43583	−	0.984140i	0.123502	−	0.0498979i	−0.312024	−	0.950074i	$-0.601007\pi$
$389$	2.43583	−	0.984140i	0.123502	−	0.0498979i	0.435526	+	0.900176i	$0.356563\pi$
$390$	−3.48450	+	1.15703i	−0.176444	+	0.0585886i
$391$	1.48051	+	1.53312i	0.0748727	+	0.0775330i
$392$	28.6742	+	15.2463i	1.44826	+	0.770056i
$393$	−19.3654	+	17.6637i	−0.976854	+	0.891016i
$394$	−11.8271	+	47.4359i	−0.595840	+	2.38978i
$395$	−0.362147	+	0.627258i	−0.0182216	+	0.0315608i
$396$	4.96235	−	49.7043i	0.249368	−	2.49774i
$397$	10.4449	+	18.0911i	0.524215	+	0.907968i	0.999603	+	0.0281909i	$0.00897464\pi$
$397$	10.4449	+	18.0911i	0.524215	+	0.907968i	−0.475387	+	0.879777i	$0.657692\pi$
$398$	2.87578	−	0.824617i	0.144150	−	0.0413343i
$399$	−1.08123	−	1.70580i	−0.0541294	−	0.0853969i
$400$	43.7510	−	27.3387i	2.18755	−	1.36693i
$401$	−7.01147	+	24.4519i	−0.350136	+	1.22107i	0.567408	+	0.823436i	$0.307946\pi$
$401$	−7.01147	+	24.4519i	−0.350136	+	1.22107i	−0.917545	+	0.397633i	$0.869832\pi$
$402$	6.37245	−	10.3457i	0.317829	−	0.515994i
$403$	−0.865058	+	6.15521i	−0.0430916	+	0.306613i
$404$	−2.23207	−	6.86962i	−0.111050	−	0.341776i
$405$	1.29010	+	5.38387i	0.0641054	+	0.267527i
$406$		−	46.4403i		−	2.30479i
$407$	4.32851	−	23.4941i	0.214556	−	1.16456i
$408$	−0.487767	−	6.38453i	−0.0241481	−	0.316081i
$409$	−23.8243	−	16.0697i	−1.17804	−	0.794596i	−0.195507	−	0.980702i	$-0.562635\pi$
$409$	−23.8243	−	16.0697i	−1.17804	−	0.794596i	−0.982530	+	0.186107i	$0.940413\pi$
$410$	14.2816	+	5.77016i	0.705320	+	0.284968i
$411$	−35.6086	−	2.25976i	−1.75644	−	0.111466i
$412$	16.3161	+	24.1896i	0.803836	+	1.19174i
$413$	−2.12852	+	20.2515i	−0.104738	+	0.996512i
$414$	−12.9852	−	34.2963i	−0.638189	−	1.68557i
$415$	2.04509	−	9.62140i	0.100390	−	0.472296i
$416$	−17.1269	−	4.27023i	−0.839717	−	0.209365i
$417$	−0.0331581	+	0.0150194i	−0.00162376	+	0.000735504i
$418$	4.47010	−	3.96330i	0.218640	−	0.193851i
$419$	−16.4329	−	2.89757i	−0.802802	−	0.141556i	−0.242832	−	0.970068i	$-0.578076\pi$
$419$	−16.4329	−	2.89757i	−0.802802	−	0.141556i	−0.559970	+	0.828513i	$0.689187\pi$
$420$	0.0590557	+	9.17421i	0.00288162	+	0.447655i
$421$	−27.4785	−	17.1705i	−1.33922	−	0.836839i	−0.344435	−	0.938810i	$-0.611929\pi$
$421$	−27.4785	−	17.1705i	−1.33922	−	0.836839i	−0.994787	+	0.101971i	$0.967485\pi$
$422$	23.2820	−	20.9632i	1.13335	−	1.02047i
$423$	−17.1579	+	15.8537i	−0.834245	+	0.770834i
$424$	53.1823	+	5.58969i	2.58276	+	0.271459i
$425$	1.31443	−	1.68239i	0.0637592	−	0.0816081i
$426$	2.13151	+	51.5266i	0.103272	+	2.49647i
$427$	−9.75804	−	0.682348i	−0.472224	−	0.0330212i
$428$	51.2998	−	18.6716i	2.47967	−	0.902526i
$429$	−7.45243	−	0.530300i	−0.359807	−	0.0256031i
$430$	−1.65780	−	9.40183i	−0.0799460	−	0.453396i
$431$	7.69080	−	5.58769i	0.370453	−	0.269150i	−0.386946	−	0.922102i	$-0.626470\pi$
$431$	7.69080	−	5.58769i	0.370453	−	0.269150i	0.757399	+	0.652953i	$0.226470\pi$
$432$	−18.7823	+	54.8787i	−0.903664	+	2.64036i
$433$	−7.09353	+	21.8317i	−0.340894	+	1.04916i	0.622852	+	0.782340i	$0.285974\pi$
$433$	−7.09353	+	21.8317i	−0.340894	+	1.04916i	−0.963746	+	0.266823i	$0.914026\pi$
$434$	19.5210	+	9.52101i	0.937037	+	0.457023i
$435$	−9.58031	+	5.17332i	−0.459340	+	0.248041i
$436$	−40.7695	+	1.42370i	−1.95251	+	0.0681830i
$437$	1.17492	−	2.90804i	0.0562042	−	0.139110i
$438$	−12.3332	+	72.6775i	−0.589302	+	3.47267i
$439$	1.91262	−	5.25489i	0.0912845	−	0.250802i	−0.885645	−	0.464362i	$-0.846284\pi$
$439$	1.91262	−	5.25489i	0.0912845	−	0.250802i	0.976930	+	0.213560i	$0.0685059\pi$
$440$	−16.1000	+	2.71184i	−0.767538	+	0.129282i
$441$	−10.4067	−	6.31801i	−0.495557	−	0.300858i
$442$	−1.58319	+	0.166400i	−0.0753047	+	0.00791484i
$443$	−6.04824	+	9.67920i	−0.287360	+	0.459873i	−0.959961	−	0.280133i	$-0.909622\pi$
$443$	−6.04824	+	9.67920i	−0.287360	+	0.459873i	0.672601	+	0.740005i	$0.265177\pi$
$444$	−25.1062	+	57.3807i	−1.19149	+	2.72317i
$445$	−5.76343	+	5.56568i	−0.273213	+	0.263839i
$446$	51.5382	−	49.7699i	2.44041	−	2.35667i
$447$	6.75921	−	15.4483i	0.319700	−	0.730680i
$448$	−12.3921	+	19.8315i	−0.585471	+	0.936949i
$449$	−13.3876	+	1.40709i	−0.631800	+	0.0664049i	−0.415015	−	0.909814i	$-0.636224\pi$
$449$	−13.3876	+	1.40709i	−0.631800	+	0.0664049i	−0.216785	+	0.976219i	$0.569557\pi$
$450$	−32.2112	+	17.6626i	−1.51845	+	0.832625i
$451$	22.3795	+	21.9455i	1.05381	+	1.03337i
$452$	−9.49535	+	26.0883i	−0.446624	+	1.22709i
$453$	0.0721689	−	0.425280i	0.00339079	−	0.0199814i
$454$	12.3185	−	30.4893i	0.578136	−	1.43094i
$455$	1.37139	−	0.0478898i	0.0642915	−	0.00224511i
$456$	−8.29130	+	4.47726i	−0.388276	+	0.209667i
$457$	2.22758	+	1.08646i	0.104202	+	0.0508226i	0.489735	−	0.871871i	$-0.337094\pi$
$457$	2.22758	+	1.08646i	0.104202	+	0.0508226i	−0.385533	+	0.922694i	$0.625982\pi$
$458$	−15.6292	+	48.1018i	−0.730305	+	2.24765i
$459$	0.0463518	+	2.39996i	0.00216352	+	0.112021i
$460$	−11.5266	+	8.37457i	−0.537431	+	0.390466i
$461$	2.24987	+	12.7596i	0.104787	+	0.594275i	0.991305	+	0.131582i	$0.0420057\pi$
$461$	2.24987	+	12.7596i	0.104787	+	0.594275i	−0.886519	+	0.462693i	$0.846883\pi$
$462$	−9.80925	+	24.1934i	−0.456368	+	1.12558i
$463$	9.89023	−	3.59975i	0.459638	−	0.167294i	−0.101815	−	0.994803i	$-0.532465\pi$
$463$	9.89023	−	3.59975i	0.459638	−	0.167294i	0.561453	+	0.827509i	$0.310243\pi$
$464$	−113.795	−	7.95730i	−5.28279	−	0.369408i
$465$	−0.210462	−	5.08765i	−0.00975994	−	0.235934i
$466$	−9.10146	+	11.6493i	−0.421617	+	0.539645i
$467$	−13.6794	−	1.43777i	−0.633008	−	0.0665318i	−0.217410	−	0.976080i	$-0.569761\pi$
$467$	−13.6794	−	1.43777i	−0.633008	−	0.0665318i	−0.415598	+	0.909548i	$0.636428\pi$
$468$	18.7056	+	5.81268i	0.864668	+	0.268691i
$469$	−3.37481	+	3.03869i	−0.155834	+	0.140314i
$470$	10.7632	+	6.72562i	0.496471	+	0.310230i
$471$	0.0487489	+	7.57306i	0.00224623	+	0.348948i
$472$	93.5649	+	16.4980i	4.30667	+	0.759382i
$473$	4.18456	−	18.9709i	0.192406	−	0.872281i
$474$	4.92213	−	2.22955i	0.226081	−	0.102406i
$475$	−3.04854	−	0.760088i	−0.139877	−	0.0348752i
$476$	−0.827033	+	3.89089i	−0.0379070	+	0.178338i
$477$	−19.7854	−	3.22665i	−0.905913	−	0.147738i
$478$	1.74741	−	16.6255i	0.0799246	−	0.760432i
$479$	−2.91492	−	4.32154i	−0.133186	−	0.197456i	0.756545	−	0.653942i	$-0.226886\pi$
$479$	−2.91492	−	4.32154i	−0.133186	−	0.197456i	−0.889731	+	0.456485i	$0.849108\pi$
$480$	14.4312	+	0.915819i	0.658690	+	0.0418012i
$481$	8.68590	+	3.50933i	0.396043	+	0.160012i
$482$	8.92596	+	6.02064i	0.406567	+	0.274233i
$483$	1.04407	+	13.6661i	0.0475068	+	0.621830i
$484$	−53.8343	−	12.3080i	−2.44701	−	0.559453i
$485$			4.82594i			0.219135i
$486$	15.5765	−	38.2532i	0.706565	−	1.73520i
$487$	−6.05340	−	18.6304i	−0.274306	−	0.844226i	−0.989402	−	0.145200i	$-0.953617\pi$
$487$	−6.05340	−	18.6304i	−0.274306	−	0.844226i	0.715097	−	0.699025i	$-0.246383\pi$
$488$	−6.35177	+	45.1952i	−0.287531	+	2.04589i
$489$	0.738600	−	1.19911i	0.0334007	−	0.0542259i
$490$	−1.82314	+	6.35803i	−0.0823609	+	0.287227i
$491$	−2.74180	+	1.71326i	−0.123735	+	0.0773185i	−0.590375	−	0.807129i	$-0.701020\pi$
$491$	−2.74180	+	1.71326i	−0.123735	+	0.0773185i	0.466639	+	0.884448i	$0.345465\pi$
$492$	−43.9948	−	69.4081i	−1.98344	−	3.12916i
$493$	−4.53786	+	1.30121i	−0.204375	+	0.0586035i
$494$	1.17134	+	2.02881i	0.0527009	+	0.0912807i
$495$	6.08364	−	0.671493i	0.273440	−	0.0301814i
$496$	26.6746	−	46.2017i	1.19772	−	2.07452i
$497$	4.66284	−	18.7016i	0.209157	−	0.838882i
$498$	−54.2172	+	49.4530i	−2.42953	+	2.21604i
$499$	22.6673	+	12.0524i	1.01473	+	0.539540i	0.891587	−	0.452849i	$-0.149592\pi$
$499$	22.6673	+	12.0524i	1.01473	+	0.539540i	0.123141	+	0.992389i	$0.460703\pi$
$500$	20.6407	+	21.3741i	0.923080	+	0.955878i
$501$	12.6927	−	4.21463i	0.567068	−	0.188296i
$502$	48.0453	−	19.4116i	2.14437	−	0.866381i
$503$	−2.75001	−	0.584533i	−0.122617	−	0.0260630i	0.146194	−	0.989256i	$-0.453297\pi$
$503$	−2.75001	−	0.584533i	−0.122617	−	0.0260630i	−0.268811	+	0.963193i	$0.586631\pi$
$504$	23.7727	−	33.6222i	1.05892	−	1.49765i
$505$	0.766483	−	0.442529i	0.0341081	−	0.0196923i
$506$	−39.4124	+	9.50645i	−1.75209	+	0.422613i
$507$	−5.27757	+	18.8625i	−0.234385	+	0.837712i
$508$	−4.99717	+	71.4628i	−0.221713	+	3.17065i
$509$	−4.72478	+	3.69140i	−0.209422	+	0.163618i	−0.714913	−	0.699214i	$-0.753534\pi$
$509$	−4.72478	+	3.69140i	−0.209422	+	0.163618i	0.505491	+	0.862832i	$0.331311\pi$
$510$	1.25126	−	0.367526i	0.0554068	−	0.0162743i
$511$	12.0776	−	24.7627i	0.534280	−	1.09544i
$512$	−21.9749	−	15.9657i	−0.971163	−	0.705591i
$513$	3.19872	−	1.49883i	0.141227	−	0.0661750i
$514$	−0.443580	+	0.144128i	−0.0195655	+	0.00635720i
$515$	−2.48354	+	2.57178i	−0.109438	+	0.113326i
$516$	−22.0324	+	45.9209i	−0.969920	+	2.02156i
$517$	15.0199	+	21.0098i	0.660574	+	0.924008i
$518$	21.0411	−	25.0758i	0.924491	−	1.10177i
$519$	3.72383	+	0.631924i	0.163458	+	0.0277384i
$520$	0.223440	−	6.39849i	0.00979850	−	0.280592i
$521$	−1.17636	−	5.53433i	−0.0515372	−	0.242463i	0.944837	−	0.327540i	$-0.106220\pi$
$521$	−1.17636	−	5.53433i	−0.0515372	−	0.242463i	−0.996374	+	0.0850769i	$0.972886\pi$
$522$	80.5763	+	10.2683i	3.52673	+	0.449430i
$523$	−14.7766	−	33.1888i	−0.646136	−	1.45125i	−0.878079	−	0.478516i	$-0.841175\pi$
$523$	−14.7766	−	33.1888i	−0.646136	−	1.45125i	0.231943	−	0.972729i	$-0.425492\pi$
$524$	−28.4597	−	70.4403i	−1.24327	−	3.07720i
$525$	13.4111	−	2.94097i	0.585309	−	0.128355i
$526$	18.1443	+	37.2014i	0.791130	+	1.62206i
$527$	0.383377	−	2.17424i	0.0167001	−	0.0947112i
$528$	57.6013	+	28.1815i	2.50678	+	1.22644i
$529$	1.31370	−	1.10232i	0.0571173	−	0.0479271i
$530$	1.13845	+	10.8316i	0.0494509	+	0.470494i
$531$	−34.6668	−	8.17085i	−1.50441	−	0.354585i
$532$	5.72587	−	1.21707i	0.248248	−	0.0527667i
$533$	−10.1899	+	6.87318i	−0.441374	+	0.297710i
$534$	59.1372	−	8.69974i	2.55912	−	0.376474i
$535$	3.54475	+	5.67278i	0.153253	+	0.245256i
$536$	13.0447	+	16.6965i	0.563447	+	0.721179i
$537$	0.640434	+	3.50018i	0.0276368	+	0.151044i
$538$	15.2397	−	2.68717i	0.657031	−	0.115852i
$539$	−8.36741	+	10.5423i	−0.360410	+	0.454089i
$540$	−15.9308	−	1.92602i	−0.685551	−	0.0828825i
$541$	−1.17931	−	1.62318i	−0.0507024	−	0.0697858i	0.782913	−	0.622131i	$-0.213733\pi$
$541$	−1.17931	−	1.62318i	−0.0507024	−	0.0697858i	−0.833615	+	0.552345i	$0.813733\pi$
$542$	−0.0518659	−	0.0975456i	−0.00222783	−	0.00418994i
$543$	−0.473346	−	1.61153i	−0.0203132	−	0.0691574i
$544$	6.02675	+	1.72814i	0.258395	+	0.0740935i
$545$	−1.20926	−	4.85009i	−0.0517992	−	0.207755i
$546$	−8.52381	−	5.66990i	−0.364785	−	0.242649i
$547$	−19.8674	−	0.693783i	−0.849467	−	0.0296640i	−0.393143	−	0.919478i	$-0.628612\pi$
$547$	−19.8674	−	0.693783i	−0.849467	−	0.0296640i	−0.456324	+	0.889814i	$0.650834\pi$
$548$	42.0640	−	94.4774i	1.79689	−	4.03587i
$549$	3.34148	−	16.7798i	0.142611	−	0.716145i
$550$	14.9250	+	37.7713i	0.636404	+	1.61057i
$551$	4.46550	+	5.32177i	0.190236	+	0.226715i
$552$	63.9467	−	0.411634i	2.72175	−	0.0175203i
$553$	−1.99988	+	0.281064i	−0.0850434	+	0.0119521i
$554$	−8.47560	+	15.9403i	−0.360094	+	0.677238i
$555$	−7.51687	−	1.54726i	−0.319073	−	0.0656773i
$556$	−0.00735985	−	0.105251i	−0.000312127	−	0.00446362i
$557$	2.31027	+	2.56582i	0.0978893	+	0.108717i	0.790099	−	0.612980i	$-0.210029\pi$
$557$	2.31027	+	2.56582i	0.0978893	+	0.108717i	−0.692209	+	0.721697i	$0.743363\pi$
$558$	−20.8357	+	31.7647i	−0.882044	+	1.34471i
$559$	6.95945	+	3.09855i	0.294353	+	0.131055i
$560$	−11.0675	−	4.02822i	−0.467685	−	0.170224i
$561$	2.63887	+	0.280625i	0.111413	+	0.0118480i
$562$	54.1678	+	45.4521i	2.28493	+	1.91728i
$563$	−24.9444	+	36.9816i	−1.05128	+	1.55859i	−0.242789	+	0.970079i	$0.578062\pi$
$563$	−24.9444	+	36.9816i	−1.05128	+	1.55859i	−0.808491	+	0.588508i	$0.799715\pi$
$564$	−25.7686	−	62.6160i	−1.08505	−	2.63661i
$565$	−3.36866	−	0.473435i	−0.141721	−	0.0199175i
$566$	30.2820	−	41.6797i	1.27285	−	1.75193i
$567$	−9.61476	+	12.0767i	−0.403782	+	0.507174i
$568$	−85.5262	−	27.7891i	−3.58860	−	1.16601i
$569$	1.76324	−	0.937531i	0.0739188	−	0.0393033i	−0.432101	−	0.901825i	$-0.642227\pi$
$569$	1.76324	−	0.937531i	0.0739188	−	0.0393033i	0.506019	+	0.862522i	$0.331116\pi$
$570$	−1.24305	−	1.46219i	−0.0520656	−	0.0612443i
$571$	−1.41619	−	3.89096i	−0.0592658	−	0.162832i	0.906526	−	0.422150i	$-0.138724\pi$
$571$	−1.41619	−	3.89096i	−0.0592658	−	0.162832i	−0.965792	+	0.259318i	$0.916502\pi$
$572$	8.95932	−	19.7150i	0.374608	−	0.824326i
$573$	−3.44492	−	13.4475i	−0.143914	−	0.561776i
$574$	11.8382	+	41.2847i	0.494117	+	1.72319i
$575$	15.8454	+	14.2673i	0.660799	+	0.594986i
$576$	−31.6686	−	25.8858i	−1.31953	−	1.07857i
$577$	−30.8085	+	13.7168i	−1.28258	+	0.571040i	−0.930966	−	0.365107i	$-0.881032\pi$
$577$	−30.8085	+	13.7168i	−1.28258	+	0.571040i	−0.351610	+	0.936146i	$0.614366\pi$
$578$	−44.3692	+	3.10260i	−1.84551	+	0.129051i
$579$	1.72673	+	15.4702i	0.0717606	+	0.642919i
$580$	−4.39205	−	31.2511i	−0.182370	−	1.29763i
$581$	24.6507	−	12.0230i	1.02268	−	0.498796i
$582$	20.9744	−	29.2631i	0.869417	−	1.21299i
$583$	−6.27189	+	21.2566i	−0.259755	+	0.880359i
$584$	−111.323	−	64.2725i	−4.60659	−	2.65961i
$585$	−0.220132	+	2.39001i	−0.00910132	+	0.0988149i
$586$	33.8848	−	37.6329i	1.39977	−	1.55460i
$587$	−16.5469	−	12.9279i	−0.682965	−	0.533591i	0.213368	−	0.976972i	$-0.431557\pi$
$587$	−16.5469	−	12.9279i	−0.682965	−	0.533591i	−0.896333	+	0.443381i	$0.853779\pi$
$588$	27.6663	−	21.9035i	1.14094	−	0.903287i
$589$	−3.15248	+	0.786002i	−0.129896	+	0.0323866i
$590$	0.675313	+	19.3384i	0.0278022	+	0.796151i
$591$	25.3097	+	19.5131i	1.04110	+	0.802660i
$592$	−57.8390	−	55.8545i	−2.37717	−	2.29560i
$593$	6.44646			0.264724			0.132362	−	0.991201i	$-0.457744\pi$
$593$	6.44646			0.264724			0.132362	+	0.991201i	$0.457744\pi$
$594$	−39.8078	−	22.3689i	−1.63334	−	0.917806i
$595$	−0.487405			−0.0199816
$596$	35.1577	+	33.9514i	1.44011	+	1.39070i
$597$	0.259706	−	1.93835i	0.0106290	−	0.0793316i
$598$	−0.554846	−	15.8887i	−0.0226893	−	0.649738i
$599$	−38.2527	+	9.53747i	−1.56296	+	0.389691i	−0.924875	−	0.380272i	$-0.875830\pi$
$599$	−38.2527	+	9.53747i	−1.56296	+	0.389691i	−0.638089	+	0.769963i	$0.720275\pi$
$600$	−9.32348	−	63.3771i	−0.380629	−	2.58736i
$601$	2.99395	+	2.33913i	0.122126	+	0.0954152i	0.674873	−	0.737934i	$-0.264198\pi$
$601$	2.99395	+	2.33913i	0.122126	+	0.0954152i	−0.552747	+	0.833349i	$0.686421\pi$
$602$	17.8118	−	19.7820i	0.725953	−	0.806253i
$603$	−4.52609	−	6.52733i	−0.184316	−	0.265814i
$604$	1.08278	+	0.625144i	0.0440577	+	0.0254367i
$605$	0.103688	−	6.76577i	0.00421553	−	0.275068i
$606$	−6.57104	−	0.647907i	−0.266930	−	0.0263194i
$607$	−29.5372	+	14.4062i	−1.19888	+	0.584731i	−0.926075	−	0.377340i	$-0.876839\pi$
$607$	−29.5372	+	14.4062i	−1.19888	+	0.584731i	−0.272801	+	0.962070i	$0.587950\pi$
$608$	−1.28407	−	9.13665i	−0.0520760	−	0.370540i
$609$	−27.8126	−	12.1691i	−1.12702	−	0.493115i
$610$	−9.27268	+	0.648409i	−0.375440	+	0.0262533i
$611$	−9.25202	+	4.11926i	−0.374297	+	0.166648i
$612$	−6.56802	−	2.29525i	−0.265497	−	0.0927799i
$613$	−24.0394	−	21.6452i	−0.970943	−	0.874241i	0.0211464	−	0.999776i	$-0.493268\pi$
$613$	−24.0394	−	21.6452i	−0.970943	−	0.874241i	−0.992089	+	0.125536i	$0.959935\pi$
$614$	0.564936	+	1.97016i	0.0227989	+	0.0795094i
$615$	7.19800	−	7.04113i	0.290251	−	0.283926i
$616$	−33.5962	−	30.7195i	−1.35363	−	1.23772i
$617$	1.50850	+	4.14458i	0.0607301	+	0.166855i	0.966347	−	0.257242i	$-0.0828138\pi$
$617$	1.50850	+	4.14458i	0.0607301	+	0.166855i	−0.905617	+	0.424097i	$0.860592\pi$
$618$	26.2369	−	4.80061i	1.05540	−	0.193109i
$619$	−31.8406	+	16.9300i	−1.27978	+	0.680472i	−0.963377	−	0.268152i	$-0.913587\pi$
$619$	−31.8406	+	16.9300i	−1.27978	+	0.680472i	−0.316406	+	0.948624i	$0.602476\pi$
$620$	14.0367	+	4.56080i	0.563727	+	0.183166i
$621$	−23.9423	−	1.21016i	−0.960771	−	0.0485621i
$622$	25.2680	−	34.7784i	1.01315	−	1.39449i
$623$	−22.1225	−	3.10912i	−0.886321	−	0.124564i
$624$	−15.3537	+	19.9148i	−0.614640	+	0.797229i
$625$	10.8859	−	16.1390i	0.435436	−	0.645561i
$626$	29.1663	+	24.4734i	1.16572	+	0.978154i
$627$	−1.20225	−	3.71563i	−0.0480132	−	0.148388i
$628$	−20.6270	−	7.50761i	−0.823106	−	0.299586i
$629$	−3.03980	−	1.35340i	−0.121205	−	0.0539638i
$630$	7.70482	+	3.31222i	0.306967	+	0.131962i
$631$	−5.68225	−	6.31078i	−0.226207	−	0.251228i	0.619348	−	0.785116i	$-0.287397\pi$
$631$	−5.68225	−	6.31078i	−0.226207	−	0.251228i	−0.845555	+	0.533888i	$0.820730\pi$
$632$	0.657284	+	9.39960i	0.0261453	+	0.373896i
$633$	−6.45392	−	19.4365i	−0.256520	−	0.772532i
$634$	−27.2108	+	51.1761i	−1.08068	+	2.03246i
$635$	−8.69236	+	1.22163i	−0.344946	+	0.0484790i
$636$	28.7281	−	50.5065i	1.13914	−	2.00271i
$637$	−3.39260	−	4.04314i	−0.134420	−	0.160195i
$638$	22.3918	−	86.9644i	0.886499	−	3.44295i
$639$	31.4173	+	12.2253i	1.24285	+	0.483626i
$640$	−2.24701	+	5.04687i	−0.0888209	+	0.199495i
$641$	24.8086	+	0.866336i	0.979881	+	0.0342182i	0.520359	−	0.853948i	$-0.325798\pi$
$641$	24.8086	+	0.866336i	0.979881	+	0.0342182i	0.459523	+	0.888166i	$0.348020\pi$
$642$	3.16063	−	49.8042i	0.124740	−	1.96561i
$643$	0.629637	+	2.52534i	0.0248305	+	0.0995896i	0.981432	−	0.191808i	$-0.0614352\pi$
$643$	0.629637	+	2.52534i	0.0248305	+	0.0995896i	−0.956602	+	0.291398i	$0.905880\pi$
$644$	−38.1874	−	10.9501i	−1.50480	−	0.431493i
$645$	−6.06506	−	1.47079i	−0.238812	−	0.0579122i
$646$	−0.390649	−	0.734704i	−0.0153699	−	0.0289065i
$647$	17.8579	+	24.5794i	0.702068	+	0.966314i	0.999931	+	0.0117056i	$0.00372610\pi$
$647$	17.8579	+	24.5794i	0.702068	+	0.966314i	−0.297863	+	0.954609i	$0.596274\pi$
$648$	53.0799	+	48.6810i	2.08518	+	1.91237i
$649$	−13.7504	+	36.8968i	−0.539751	+	1.44833i
$650$	−15.6841	+	2.76553i	−0.615181	+	0.108473i
$651$	10.8172	−	9.19605i	0.423961	−	0.360422i
$652$	2.51314	+	3.21668i	0.0984223	+	0.125975i
$653$	16.0821	+	25.7367i	0.629340	+	1.00715i	0.997016	+	0.0772001i	$0.0245980\pi$
$653$	16.0821	+	25.7367i	0.629340	+	1.00715i	−0.367676	+	0.929954i	$0.619846\pi$
$654$	−13.7468	+	34.6652i	−0.537540	+	1.35552i
$655$	7.71748	−	5.20550i	0.301547	−	0.203396i
$656$	103.190	−	21.9337i	4.02890	−	0.856369i
$657$	40.2941	+	26.4304i	1.57202	+	1.03115i
$658$	3.69907	+	35.1943i	0.144205	+	1.37202i
$659$	−4.92089	+	4.12912i	−0.191691	+	0.160848i	−0.733582	−	0.679601i	$-0.762153\pi$
$659$	−4.92089	+	4.12912i	−0.191691	+	0.160848i	0.541891	+	0.840449i	$0.317708\pi$
$660$	−4.31287	+	17.2081i	−0.167878	+	0.669826i
$661$	7.94027	−	45.0315i	0.308841	−	1.75152i	−0.296012	−	0.955184i	$-0.595657\pi$
$661$	7.94027	−	45.0315i	0.308841	−	1.75152i	0.604853	−	0.796338i	$-0.293232\pi$
$662$	10.1795	+	20.8712i	0.395639	+	0.811180i
$663$	−0.315199	+	0.991759i	−0.0122413	+	0.0385167i
$664$	−47.9361	−	118.646i	−1.86028	−	4.60436i
$665$	0.291740	+	0.655259i	0.0113132	+	0.0254099i
$666$	38.8554	+	42.0518i	1.50562	+	1.62947i
$667$	−9.80218	−	46.1156i	−0.379542	−	1.78560i
$668$	−1.35287	+	38.7410i	−0.0523439	+	1.49893i
$669$	−16.3018	−	43.9072i	−0.630263	−	1.69755i
$670$	−2.77387	+	3.30577i	−0.107164	+	0.127713i
$671$	−17.9440	−	5.98273i	−0.692719	−	0.230961i
$672$	22.7608	+	33.2801i	0.878017	+	1.28381i
$673$	−22.2843	+	23.0761i	−0.858997	+	0.889517i	−0.994865	−	0.101210i	$-0.967729\pi$
$673$	−22.2843	+	23.0761i	−0.858997	+	0.889517i	0.135869	+	0.990727i	$0.456618\pi$
$674$	79.9773	−	25.9862i	3.08061	−	1.00095i
$675$	2.13745	+	23.9192i	0.0822704	+	0.920651i
$676$	−45.9296	−	33.3698i	−1.76652	−	1.28345i
$677$	−9.78355	+	20.0593i	−0.376012	+	0.770940i	−0.999944	−	0.0105388i	$-0.996645\pi$
$677$	−9.78355	+	20.0593i	−0.376012	+	0.770940i	0.623932	+	0.781479i	$0.285534\pi$
$678$	18.3689	+	17.5116i	0.705455	+	0.672528i
$679$	−10.6035	+	8.28437i	−0.406925	+	0.317925i
$680$	−0.158633	+	2.26855i	−0.00608328	+	0.0869950i
$681$	−15.0318	−	15.3667i	−0.576022	−	0.588855i
$682$	31.9644	+	27.2414i	1.22398	+	1.04313i
$683$	−0.999916	+	0.577302i	−0.0382607	+	0.0220898i	−0.519008	−	0.854769i	$-0.673699\pi$
$683$	−0.999916	+	0.577302i	−0.0382607	+	0.0220898i	0.480748	+	0.876859i	$0.340365\pi$
$684$	0.845651	+	10.2038i	0.0323343	+	0.390151i
$685$	12.3950	+	2.63465i	0.473590	+	0.100665i
$686$	−46.5947	+	18.8255i	−1.77900	+	0.718761i
$687$	24.7122	+	21.9646i	0.942830	+	0.838001i
$688$	−45.4207	−	47.0345i	−1.73165	−	1.79317i
$689$	−7.67355	−	4.08010i	−0.292339	−	0.155439i
$690$	2.78984	+	12.7219i	0.106207	+	0.484316i
$691$	−0.807116	+	3.23717i	−0.0307042	+	0.123148i	−0.983692	−	0.179860i	$-0.942435\pi$
$691$	−0.807116	+	3.23717i	−0.0307042	+	0.123148i	0.952988	+	0.303008i	$0.0979909\pi$
$692$	−5.47387	+	9.48103i	−0.208085	+	0.360415i
$693$	11.9188	+	12.2142i	0.452757	+	0.463979i
$694$	−3.57766	−	6.19669i	−0.135806	−	0.235223i
$695$	0.0124272	−	0.00356343i	0.000471389	−	0.000135169i
$696$	−65.6910	+	125.489i	−2.49001	+	4.75664i
$697$	3.70239	−	2.31351i	0.140238	−	0.0876304i
$698$	12.8741	−	44.8975i	0.487294	−	1.69940i
$699$	4.59175	+	8.50332i	0.173676	+	0.321625i
$700$	−5.53846	+	39.4082i	−0.209334	+	1.48949i
$701$	−5.28920	−	16.2785i	−0.199770	−	0.614829i	−0.999888	−	0.0149862i	$-0.995230\pi$
$701$	−5.28920	−	16.2785i	−0.199770	−	0.614829i	0.800118	−	0.599843i	$-0.204770\pi$
$702$	11.7222	−	13.5356i	0.442427	−	0.510868i
$703$			4.89674i			0.184684i
$704$	−32.7675	+	31.1615i	−1.23497	+	1.17444i
$705$	6.84827	−	4.68363i	0.257921	−	0.176396i
$706$	17.5621	+	11.8458i	0.660958	+	0.445822i
$707$	2.28809	+	0.924448i	0.0860525	+	0.0347675i
$708$	57.1757	−	85.9548i	2.14879	−	3.23038i
$709$	−9.13602	−	13.5447i	−0.343110	−	0.508682i	0.617504	−	0.786568i	$-0.288144\pi$
$709$	−9.13602	−	13.5447i	−0.343110	−	0.508682i	−0.960614	+	0.277886i	$0.910366\pi$
$710$	1.91449	−	18.2151i	0.0718494	−	0.683601i
$711$	−0.0454743	−	3.53203i	−0.00170542	−	0.132462i
$712$	−21.6710	+	101.954i	−0.812155	+	3.82089i
$713$	21.3941	+	5.33415i	0.801216	+	0.199765i
$714$	2.95548	+	2.11835i	0.110606	+	0.0792772i
$715$	2.59115	+	0.571552i	0.0969037	+	0.0213748i
$716$	−10.1569	−	1.79094i	−0.379582	−	0.0669305i
$717$	−9.49894	−	5.40299i	−0.354744	−	0.201778i
$718$	71.5109	+	44.6850i	2.66876	+	1.66763i
$719$	17.5280	−	15.7823i	0.653685	−	0.588581i	−0.274098	−	0.961702i	$-0.588379\pi$
$719$	17.5280	−	15.7823i	0.653685	−	0.588581i	0.927783	+	0.373121i	$0.121712\pi$
$720$	9.43627	−	18.3119i	0.351669	−	0.682445i
$721$	−9.91401	−	1.04200i	−0.369217	−	0.0388063i
$722$	30.2398	−	38.7052i	1.12541	−	1.44046i
$723$	5.94463	−	3.76804i	0.221083	−	0.140135i
$724$	4.85645	+	0.339596i	0.180488	+	0.0126210i
$725$	−44.3797	+	16.1529i	−1.64822	+	0.599903i
$726$	−30.0340	+	40.5750i	−1.11467	+	1.50588i
$727$	5.17861	+	29.3693i	0.192064	+	1.08925i	0.916538	+	0.399947i	$0.130971\pi$
$727$	5.17861	+	29.3693i	0.192064	+	1.08925i	−0.724474	+	0.689302i	$0.757917\pi$
$728$	14.4423	−	10.4929i	0.535265	−	0.388893i
$729$	−18.8278	−	19.3523i	−0.697326	−	0.716754i
$730$	8.09026	−	24.8993i	0.299434	−	0.921563i
$731$	−2.43204	−	1.18618i	−0.0899522	−	0.0438726i
$732$	42.2237	+	26.0079i	1.56063	+	0.961279i
$733$	−26.9299	+	0.940411i	−0.994677	+	0.0347349i	−0.527610	−	0.849487i	$-0.676912\pi$
$733$	−26.9299	+	0.940411i	−0.994677	+	0.0347349i	−0.467067	+	0.884222i	$0.654689\pi$
$734$	13.1429	−	32.5297i	0.485111	−	1.20069i
$735$	3.33003	+	2.75789i	0.122830	+	0.101726i
$736$	−21.4155	+	58.8385i	−0.789385	+	2.16882i
$737$	−7.78482	+	4.06306i	−0.286758	+	0.149665i
$738$	−74.2486	+	11.4115i	−2.73313	+	0.420065i
$739$	8.64270	−	0.908384i	0.317927	−	0.0334155i	0.0557789	−	0.998443i	$-0.482236\pi$
$739$	8.64270	−	0.908384i	0.317927	−	0.0334155i	0.262148	+	0.965028i	$0.415569\pi$
$740$	11.7876	−	18.8642i	0.433322	−	0.693461i
$741$	1.52197	−	0.169877i	0.0559109	−	0.00624060i
$742$	−21.8447	+	21.0952i	−0.801946	+	0.774430i
$743$	5.16550	−	4.98827i	0.189504	−	0.183002i	−0.593854	−	0.804573i	$-0.702394\pi$
$743$	5.16550	−	4.98827i	0.189504	−	0.183002i	0.783358	+	0.621571i	$0.213505\pi$
$744$	−39.2810	−	53.3402i	−1.44011	−	1.95555i
$745$	−3.17352	+	5.07870i	−0.116269	+	0.186069i
$746$	−82.6841	+	8.69045i	−3.02728	+	0.318180i
$747$	15.4100	+	45.4286i	0.563822	+	1.66215i
$748$	−3.42475	+	6.88733i	−0.125221	+	0.251826i
$749$	−6.37914	+	17.5266i	−0.233089	+	0.640406i
$750$	25.4636	−	9.45406i	0.929799	−	0.345213i
$751$	−1.77556	+	4.39466i	−0.0647911	+	0.160364i	−0.956106	−	0.293021i	$-0.905339\pi$
$751$	−1.77556	+	4.39466i	−0.0647911	+	0.160364i	0.891315	+	0.453385i	$0.149784\pi$
$752$	86.8719	−	3.03363i	3.16789	−	0.110625i
$753$	0.964249	−	33.8604i	0.0351392	−	1.23394i
$754$	31.6506	+	15.4370i	1.15265	+	0.562183i
$755$	−0.0473410	+	0.145701i	−0.00172292	+	0.00530259i
$756$	−23.1154	−	38.3092i	−0.840701	−	1.39329i
$757$	−8.61542	+	6.25947i	−0.313133	+	0.227504i	−0.733240	−	0.679970i	$-0.761993\pi$
$757$	−8.61542	+	6.25947i	−0.313133	+	0.227504i	0.420107	+	0.907475i	$0.361993\pi$
$758$	8.16944	+	46.3312i	0.296728	+	1.68283i
$759$	−4.63417	+	26.0947i	−0.168210	+	0.947177i
$760$	3.14475	−	1.14460i	0.114072	−	0.0415189i
$761$	36.2615	+	2.53565i	1.31448	+	0.0919174i	0.709716	−	0.704488i	$-0.248823\pi$
$761$	36.2615	+	2.53565i	1.31448	+	0.0919174i	0.604764	+	0.796405i	$0.293268\pi$
$762$	58.0173	+	30.3709i	2.10175	+	1.10022i
$763$	8.58071	−	10.9828i	0.310642	−	0.397604i
$764$	40.0153	+	4.20578i	1.44770	+	0.152160i
$765$	0.107769	−	0.845672i	0.00389638	−	0.0305753i
$766$	−7.22844	+	6.50852i	−0.261174	+	0.235162i
$767$	−13.0945	−	8.18238i	−0.472817	−	0.295449i
$768$	−5.18936	+	3.04079i	−0.187255	+	0.109725i
$769$	21.4421	+	3.78082i	0.773221	+	0.136340i	0.546318	−	0.837578i	$-0.316029\pi$
$769$	21.4421	+	3.78082i	0.773221	+	0.136340i	0.226903	+	0.973917i	$0.427140\pi$
$770$	4.69725	−	7.99380i	0.169277	−	0.288077i
$771$	−0.0299175	+	0.303422i	−0.00107745	+	0.0109275i
$772$	−43.7782	−	10.9151i	−1.57561	−	0.392844i
$773$	−10.8130	+	50.8713i	−0.388917	+	1.82971i	0.151679	+	0.988430i	$0.451532\pi$
$773$	−10.8130	+	50.8713i	−0.388917	+	1.82971i	−0.540596	+	0.841282i	$0.681801\pi$
$774$	30.3844	+	35.2783i	1.09215	+	1.26805i
$775$	2.30876	−	21.9664i	0.0829332	−	0.789057i
$776$	35.1073	+	52.0487i	1.26028	+	1.86844i
$777$	−9.50408	−	19.1720i	−0.340957	−	0.687793i
$778$	6.45395	+	2.60756i	0.231385	+	0.0934857i
$779$	−5.32634	−	3.59266i	−0.190836	−	0.128720i
$780$	−6.27215	−	3.00931i	−0.224579	−	0.107751i
$781$	17.7489	−	32.7725i	0.635104	−	1.17269i
$782$			5.64701i			0.201937i
$783$	27.2635	−	45.5656i	0.974318	−	1.62838i
$784$	13.9986	+	43.0833i	0.499950	+	1.53869i
$785$	0.374327	−	2.66347i	0.0133603	−	0.0950634i
$786$	−69.4205	−	1.97690i	−2.47615	−	0.0705138i
$787$	−9.24426	+	32.2386i	−0.329522	+	1.14918i	0.605868	+	0.795565i	$0.292826\pi$
$787$	−9.24426	+	32.2386i	−0.329522	+	1.14918i	−0.935391	+	0.353616i	$0.884952\pi$
$788$	−78.5553	+	49.0868i	−2.79841	+	1.74864i
$789$	27.0340	−	1.11832i	0.962436	−	0.0398133i
$790$	−1.84474	+	0.528970i	−0.0656329	+	0.0188199i
$791$	−4.74253	−	8.21430i	−0.168625	−	0.292067i
$792$	60.7283	−	51.4988i	2.15789	−	1.82993i
$793$	3.70867	−	6.42361i	0.131699	−	0.228109i
$794$	−13.3902	+	53.7053i	−0.475202	+	1.90593i
$795$	6.78524	+	2.15647i	0.240648	+	0.0764821i
$796$	5.00497	+	2.66119i	0.177396	+	0.0943233i
$797$	−27.1186	−	28.0821i	−0.960589	−	0.994719i	0.0394010	−	0.999223i	$-0.487455\pi$
$797$	−27.1186	−	28.0821i	−0.960589	−	0.994719i	−0.999990	+	0.00450455i	$0.998566\pi$
$798$	1.07885	−	5.24125i	0.0381908	−	0.185538i
$799$	3.33532	−	1.34756i	0.117995	−	0.0476732i
$800$	61.3529	+	13.0410i	2.16915	+	0.461067i
$801$	10.2859	−	37.6963i	0.363436	−	1.33193i
$802$	−58.3686	+	33.6991i	−2.06107	+	1.18996i
$803$	34.5561	−	40.5474i	1.21946	−	1.43089i
$804$	22.3025	−	5.71336i	0.786547	−	0.201495i
$805$	0.339554	−	4.85585i	0.0119677	−	0.171146i
$806$	−12.9778	+	10.1393i	−0.457122	+	0.357143i
$807$	2.38405	−	9.83105i	0.0839224	−	0.346069i
$808$	5.04739	−	10.3487i	0.177567	−	0.364066i
$809$	−2.83436	−	2.05928i	−0.0996507	−	0.0724004i	0.536844	−	0.843681i	$-0.319616\pi$
$809$	−2.83436	−	2.05928i	−0.0996507	−	0.0724004i	−0.636495	+	0.771281i	$0.719616\pi$
$810$	−7.45046	+	12.6359i	−0.261783	+	0.443980i
$811$	9.72074	−	3.15846i	0.341342	−	0.110909i	−0.133330	−	0.991072i	$-0.542567\pi$
$811$	9.72074	−	3.15846i	0.341342	−	0.110909i	0.474671	+	0.880163i	$0.342567\pi$
$812$	61.1249	−	63.2967i	2.14506	−	2.22128i
$813$	−0.0720098	+	0.00550143i	−0.00252549	+	0.000192944i
$814$	51.4922	−	36.8118i	1.80480	−	1.29025i
$815$	−0.321506	+	0.383156i	−0.0112619	+	0.0134214i
$816$	5.69709	−	6.87897i	0.199438	−	0.240812i
$817$	−0.138970	+	3.97959i	−0.00486196	+	0.139228i
$818$	−15.8308	−	74.4781i	−0.553511	−	2.60407i
$819$	−5.62919	+	3.61910i	−0.196700	+	0.126462i
$820$	11.8707	+	26.6621i	0.414544	+	0.931082i
$821$	3.54449	+	8.77292i	0.123704	+	0.306177i	0.976310	−	0.216377i	$-0.0694239\pi$
$821$	3.54449	+	8.77292i	0.123704	+	0.306177i	−0.852606	+	0.522554i	$0.824979\pi$
$822$	−63.7092	−	69.8467i	−2.22211	−	2.43618i
$823$	7.02589	+	14.4052i	0.244907	+	0.502134i	0.985469	−	0.169854i	$-0.0543296\pi$
$823$	7.02589	+	14.4052i	0.244907	+	0.502134i	−0.740562	+	0.671988i	$0.765441\pi$
$824$	−8.07650	+	45.8041i	−0.281358	+	1.59566i
$825$	26.5317	+	0.959053i	0.923717	+	0.0333899i
$826$	−41.3309	+	34.6808i	−1.43809	+	1.20670i
$827$	2.36548	+	22.5061i	0.0822559	+	0.782613i	0.955433	+	0.295209i	$0.0953893\pi$
$827$	2.36548	+	22.5061i	0.0822559	+	0.782613i	−0.873177	+	0.487404i	$0.837944\pi$
$828$	27.4424	−	63.8360i	0.953691	−	2.21845i
$829$	13.8865	−	2.95167i	0.482299	−	0.102516i	0.0396555	−	0.999213i	$-0.487374\pi$
$829$	13.8865	−	2.95167i	0.482299	−	0.102516i	0.442644	+	0.896698i	$0.354041\pi$
$830$	21.6066	−	14.5738i	0.749976	−	0.505865i
$831$	7.32555	+	9.25289i	0.254121	+	0.320979i
$832$	−9.39660	−	15.0377i	−0.325768	−	0.521339i
$833$	1.15418	+	1.47728i	0.0399898	+	0.0511847i
$834$	−0.0908418	−	0.0324030i	−0.00314560	−	0.00112203i
$835$	−4.67770	+	0.824805i	−0.161879	+	0.0285436i
$836$	11.3091	+	0.481706i	0.391134	+	0.0166601i
$837$	13.5638	+	20.8018i	0.468835	+	0.719015i
$838$	−25.9873	−	35.7684i	−0.897716	−	1.23560i
$839$	0.648782	+	1.22018i	0.0223985	+	0.0421254i	0.893896	−	0.448275i	$-0.147962\pi$
$839$	0.648782	+	1.22018i	0.0223985	+	0.0421254i	−0.871497	+	0.490401i	$0.836850\pi$
$840$	−10.0910	+	10.5850i	−0.348172	+	0.365219i
$841$	72.5049	+	20.7904i	2.50017	+	0.716912i
$842$	−20.7695	−	83.3020i	−0.715765	−	2.87078i
$843$	41.4148	−	20.5304i	1.42640	−	0.707104i
$844$	59.3246	+	2.07166i	2.04204	+	0.0713095i
$845$	2.82940	−	6.35493i	0.0973342	−	0.218616i
$846$	−61.8818	−	1.36363i	−2.12754	−	0.0468825i
$847$	15.0437	−	11.3865i	0.516907	−	0.391245i
$848$	47.9476	+	57.1417i	1.64653	+	1.96225i
$849$	−17.0265	−	29.0572i	−0.584348	−	0.997240i
$850$	5.60178	−	0.787279i	0.192140	−	0.0270035i
$851$	15.6012	−	29.3416i	0.534803	−	1.00582i
$852$	−64.9143	+	73.0347i	−2.22393	+	2.50213i
$853$	1.86451	+	26.6638i	0.0638397	+	0.912951i	0.918917	+	0.394451i	$0.129065\pi$
$853$	1.86451	+	26.6638i	0.0638397	+	0.912951i	−0.855077	+	0.518500i	$0.826490\pi$
$854$	−17.3425	−	19.2607i	−0.593447	−	0.659089i
$855$	−1.20141	+	0.361302i	−0.0410875	+	0.0123563i
$856$	79.4985	+	35.3950i	2.71720	+	1.20978i
$857$	−15.8178	−	5.75720i	−0.540325	−	0.196662i	0.0574176	−	0.998350i	$-0.481713\pi$
$857$	−15.8178	−	5.75720i	−0.540325	−	0.196662i	−0.597743	+	0.801688i	$0.703936\pi$
$858$	−13.2279	−	14.7273i	−0.451594	−	0.502783i
$859$	−14.7210	−	12.3524i	−0.502275	−	0.421459i	0.356126	−	0.934438i	$-0.384097\pi$
$859$	−14.7210	−	12.3524i	−0.502275	−	0.421459i	−0.858401	+	0.512979i	$0.828542\pi$
$860$	10.1152	−	14.9964i	0.344926	−	0.511373i
$861$	27.8270	+	3.72833i	0.948342	+	0.127061i
$862$	24.9428	+	3.50548i	0.849554	+	0.119397i
$863$	−27.5578	+	37.9300i	−0.938078	+	1.29115i	0.0185466	+	0.999828i	$0.494096\pi$
$863$	−27.5578	+	37.9300i	−0.938078	+	1.29115i	−0.956624	+	0.291325i	$0.905904\pi$
$864$	−62.7753	+	32.1327i	−2.13566	+	1.09318i
$865$	−1.27578	−	0.414527i	−0.0433779	−	0.0140943i
$866$	−53.7023	+	28.5540i	−1.82488	+	0.970306i
$867$	−9.76824	+	27.3852i	−0.331747	+	0.930051i
$868$	14.0749	+	38.6704i	0.477733	+	1.31256i
$869$	−3.88050	−	0.437943i	−0.131637	−	0.0148562i
$870$	−27.7814	−	7.77300i	−0.941877	−	0.263530i
$871$	−0.949161	−	3.31012i	−0.0321611	−	0.112159i
$872$	−48.3251	−	43.5121i	−1.63649	−	1.47350i
$873$	−12.0293	−	20.2294i	−0.407130	−	0.684660i
$874$	7.59175	−	3.38007i	0.256795	−	0.114332i
$875$	−10.1269	+	0.708139i	−0.342350	+	0.0239395i
$876$	−112.468	+	82.8243i	−3.79995	+	2.79837i
$877$	0.259749	+	1.84821i	0.00877109	+	0.0624095i	0.994162	−	0.107899i	$-0.0344124\pi$
$877$	0.259749	+	1.84821i	0.00877109	+	0.0624095i	−0.985391	+	0.170309i	$0.945523\pi$
$878$	13.3173	−	6.49527i	0.449437	−	0.219205i
$879$	−13.6589	−	30.1545i	−0.460703	−	1.01709i
$880$	−18.7827	−	12.8796i	−0.633165	−	0.434171i
$881$	−44.4271	−	25.6500i	−1.49679	−	0.864171i	−0.496795	−	0.867868i	$-0.665490\pi$
$881$	−44.4271	−	25.6500i	−1.49679	−	0.864171i	−0.999993	+	0.00369717i	$0.998823\pi$
$882$	−8.20601	−	31.1959i	−0.276311	−	1.05042i
$883$	−6.74628	+	7.49250i	−0.227030	+	0.252143i	−0.845888	−	0.533360i	$-0.820929\pi$
$883$	−6.74628	+	7.49250i	−0.227030	+	0.252143i	0.618858	+	0.785503i	$0.287596\pi$
$884$	−2.37686	−	1.85700i	−0.0799423	−	0.0624578i
$885$	11.7586	+	4.66294i	0.395259	+	0.156743i
$886$	−29.3428	+	7.31598i	−0.985790	+	0.245785i
$887$	1.82039	+	52.1291i	0.0611226	+	1.75032i	0.513132	+	0.858310i	$0.328485\pi$
$887$	1.82039	+	52.1291i	0.0611226	+	1.75032i	−0.452009	+	0.892013i	$0.649292\pi$
$888$	−92.3266	+	37.9955i	−3.09828	+	1.27505i
$889$	−17.6057	−	17.0017i	−0.590477	−	0.570217i
$890$	−21.2288			−0.711591
$891$	−23.8276	+	17.9790i	−0.798255	+	0.602320i
$892$	135.752			4.54533
$893$	−3.80802	−	3.67736i	−0.127430	−	0.123058i
$894$	41.3162	−	17.0030i	1.38182	−	0.568666i
$895$	−0.0441037	−	1.26296i	−0.00147422	−	0.0422163i
$896$	−14.9462	+	3.72651i	−0.499318	+	0.124494i
$897$	−9.66097	−	3.83113i	−0.322570	−	0.127918i
$898$	−28.1060	−	21.9588i	−0.937909	−	0.732775i
$899$	−32.6790	+	36.2937i	−1.08991	+	1.21046i
$900$	−67.1506	−	18.3229i	−2.23835	−	0.610764i
$901$	2.67336	+	1.54347i	0.0890626	+	0.0514203i
$902$	2.26234	+	83.0179i	0.0753276	+	2.76419i
$903$	−7.17988	−	15.8509i	−0.238931	−	0.527484i
$904$	−39.7757	+	19.3999i	−1.32292	+	0.645232i
$905$	0.0830192	+	0.590713i	0.00275965	+	0.0196359i
$906$	0.920303	−	0.677733i	0.0305750	−	0.0225162i
$907$	15.6258	−	1.09266i	0.518845	−	0.0362812i	0.192066	−	0.981382i	$-0.438481\pi$
$907$	15.6258	−	1.09266i	0.518845	−	0.0362812i	0.326779	+	0.945101i	$0.394037\pi$
$908$	56.9199	−	25.3424i	1.88895	−	0.841017i
$909$	−2.10988	+	3.76555i	−0.0699802	+	0.124895i
$910$	2.70194	+	2.43284i	0.0895684	+	0.0806478i
$911$	−10.8960	−	37.9990i	−0.361002	−	1.25896i	−0.906983	−	0.421166i	$-0.861621\pi$
$911$	−10.8960	−	37.9990i	−0.361002	−	1.25896i	0.545981	−	0.837797i	$-0.316157\pi$
$912$	−12.6580	−	3.54161i	−0.419149	−	0.117274i
$913$	51.9581	−	10.6286i	1.71956	−	0.351755i
$914$	2.24596	+	6.17073i	0.0742899	+	0.204110i
$915$	−2.04146	+	5.72322i	−0.0674885	+	0.189204i
$916$	−84.6139	+	44.9900i	−2.79572	+	1.48651i
$917$	24.6855	+	8.02082i	0.815188	+	0.264871i
$918$	−4.32892	+	4.65952i	−0.142876	+	0.153787i
$919$	−12.2576	+	16.8711i	−0.404340	+	0.556527i	−0.961827	−	0.273659i	$-0.911766\pi$
$919$	−12.2576	+	16.8711i	−0.404340	+	0.556527i	0.557486	+	0.830186i	$0.311766\pi$
$920$	−22.4903	−	3.16080i	−0.741483	−	0.104209i
$921$	1.32794	+	0.177921i	0.0437573	+	0.00586271i
$922$	−19.1967	+	28.4602i	−0.632209	+	0.937288i
$923$	11.1958	+	9.39440i	0.368514	+	0.309220i
$924$	−45.2131	+	20.0639i	−1.48740	+	0.660052i
$925$	−31.2816	−	11.3856i	−1.02853	−	0.374356i
$926$	25.4758	+	11.3426i	0.837188	+	0.372740i
$927$	3.99999	−	16.9709i	0.131377	−	0.557398i
$928$	−92.8015	−	103.067i	−3.04636	−	3.38333i
$929$	−3.65114	−	52.2138i	−0.119790	−	1.71308i	−0.571240	−	0.820783i	$-0.693538\pi$
$929$	−3.65114	−	52.2138i	−0.119790	−	1.71308i	0.451450	−	0.892296i	$-0.350907\pi$
$930$	8.96298	−	10.0842i	0.293908	−	0.330674i
$931$	1.29519	−	2.43589i	0.0424480	−	0.0798332i
$932$	−27.7379	+	3.89831i	−0.908586	+	0.127693i
$933$	−14.2073	−	24.2460i	−0.465126	−	0.793777i
$934$	−23.4260	−	27.9181i	−0.766524	−	0.913507i
$935$	−0.912717	−	0.235008i	−0.0298490	−	0.00768559i
$936$	15.0125	+	27.3781i	0.490697	+	0.894881i
$937$	16.2224	−	36.4362i	0.529963	−	1.19032i	−0.428092	−	0.903735i	$-0.640814\pi$
$937$	16.2224	−	36.4362i	0.529963	−	1.19032i	0.958056	−	0.286582i	$-0.0925192\pi$
$938$	−12.0251	−	0.419926i	−0.392633	−	0.0137111i
$939$	22.2995	−	11.0544i	0.727717	−	0.360748i
$940$	5.81768	+	23.3334i	0.189752	+	0.761053i
$941$	40.5143	+	11.6173i	1.32073	+	0.378713i	0.860665	−	0.509172i	$-0.170048\pi$
$941$	40.5143	+	11.6173i	1.32073	+	0.378713i	0.460065	+	0.887885i	$0.347826\pi$
$942$	−13.8457	+	14.5236i	−0.451118	+	0.473205i
$943$	20.4694	+	38.4974i	0.666576	+	1.25365i
$944$	77.8980	+	107.217i	2.53536	+	3.48963i
$945$	4.00260	−	3.74641i	0.130205	−	0.121871i
$946$	42.8925	−	28.4557i	1.39456	−	0.925173i
$947$	32.7602	−	5.77651i	1.06456	−	0.187711i	0.386183	−	0.922422i	$-0.373793\pi$
$947$	32.7602	−	5.77651i	1.06456	−	0.187711i	0.678381	+	0.734711i	$0.262682\pi$
$948$	9.64325	+	3.43972i	0.313198	+	0.111717i
$949$	12.8619	+	16.4625i	0.417515	+	0.534395i
$950$	−4.41140	−	7.05971i	−0.143125	−	0.229047i
$951$	23.5186	+	29.7063i	0.762643	+	0.963293i
$952$	−5.25675	+	3.54572i	−0.170372	+	0.114917i
$953$	23.8326	−	5.06577i	0.772013	−	0.164097i	0.194969	−	0.980809i	$-0.437539\pi$
$953$	23.8326	−	5.06577i	0.772013	−	0.164097i	0.577044	+	0.816713i	$0.304206\pi$
$954$	−31.7713	−	42.5661i	−1.02863	−	1.37813i
$955$	0.515338	+	4.90312i	0.0166760	+	0.158661i
$956$	24.2642	−	20.3601i	0.784760	−	0.658492i
$957$	−46.2146	−	36.1980i	−1.49390	−	1.17012i
$958$	2.39835	−	13.6017i	0.0774872	−	0.439452i
$959$	15.4889	+	31.7569i	0.500163	+	1.02549i
$960$	9.78939	+	10.7325i	0.315951	+	0.346389i
$961$	3.05662	+	7.56541i	0.0986007	+	0.244045i
$962$	10.0958	+	22.6755i	0.325501	+	0.731088i
$963$	−28.9990	−	14.9434i	−0.934480	−	0.481544i
$964$	4.24143	+	19.9543i	0.136607	+	0.642686i
$965$	0.192938	−	5.52503i	0.00621090	−	0.177857i
$966$	−23.1633	+	27.9687i	−0.745268	+	0.899877i
$967$	27.4619	−	32.7278i	0.883115	−	1.05246i	−0.115136	−	0.993350i	$-0.536731\pi$
$967$	27.4619	−	32.7278i	0.883115	−	1.05246i	0.998252	−	0.0591061i	$-0.0188250\pi$
$968$	−48.1006	−	73.7244i	−1.54601	−	2.36959i
$969$	−0.542371	+	0.0414362i	−0.0174235	+	0.00133112i
$970$	−8.88242	+	9.19802i	−0.285197	+	0.295331i
$971$	−30.4399	+	9.89052i	−0.976863	+	0.317402i	−0.753583	−	0.657352i	$-0.771676\pi$
$971$	−30.4399	+	9.89052i	−0.976863	+	0.317402i	−0.223280	+	0.974754i	$0.571676\pi$
$972$	71.5793	−	31.6361i	2.29591	−	1.01473i
$973$	0.0291624	+	0.0211877i	0.000934902	+	0.000679246i
$974$	22.7529	−	46.6503i	0.729050	−	1.49477i
$975$	−2.45356	+	10.1177i	−0.0785768	+	0.324026i
$976$	−50.1670	+	39.1948i	−1.60581	+	1.25459i
$977$	2.37190	−	33.9197i	0.0758837	−	1.08519i	−0.799152	−	0.601129i	$-0.794718\pi$
$977$	2.37190	−	33.9197i	0.0758837	−	1.08519i	0.875036	−	0.484059i	$-0.160838\pi$
$978$	3.61478	−	0.926020i	0.115588	−	0.0296109i
$979$	−39.9277	−	16.4888i	−1.27609	−	0.526985i
$980$	−10.8533	+	6.26618i	−0.346697	+	0.200166i
$981$	17.1585	+	17.3163i	0.547828	+	0.552868i
$982$	−8.37909	−	1.78103i	−0.267388	−	0.0568350i
$983$	−32.8951	+	13.2905i	−1.04919	+	0.423900i	−0.833475	−	0.552557i	$-0.813652\pi$
$983$	−32.8951	+	13.2905i	−1.04919	+	0.423900i	−0.215714	+	0.976457i	$0.569208\pi$
$984$	26.4096	−	128.303i	0.841908	−	4.09015i
$985$	−7.88445	−	8.16459i	−0.251220	−	0.260146i
$986$	−11.0439	−	5.87214i	−0.351709	−	0.187007i
$987$	22.0468	+	7.00686i	0.701757	+	0.223031i
$988$	−1.07384	+	4.30693i	−0.0341633	+	0.137022i
$989$	13.5119	−	23.4032i	0.429652	−	0.744179i
$990$	12.8311	+	9.91746i	0.407798	+	0.315198i
$991$	24.1598	+	41.8460i	0.767461	+	1.32928i	0.938936	+	0.344093i	$0.111813\pi$
$991$	24.1598	+	41.8460i	0.767461	+	1.32928i	−0.171475	+	0.985189i	$0.554853\pi$
$992$	62.3494	−	17.8784i	1.97960	−	0.567640i
$993$	15.1669	−	0.627414i	0.481308	−	0.0199104i
$994$	43.3085	−	27.0622i	1.37366	−	0.858360i
$995$	−0.191448	+	0.667657i	−0.00606930	+	0.0211662i
$996$	−138.987	−	3.95795i	−4.40396	−	0.125413i
$997$	−1.11975	+	7.96742i	−0.0354628	+	0.252331i	−0.999930	−	0.0118736i	$-0.996220\pi$
$997$	−1.11975	+	7.96742i	−0.0354628	+	0.252331i	0.964467	+	0.264204i	$0.0851093\pi$
$998$	21.0196	+	64.6918i	0.665365	+	2.04778i
$999$	35.3659	−	12.2510i	1.11893	−	0.387604i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	297.2.x.a.41.34	yes	816
3.2	odd	2		891.2.bb.a.800.1		816
11.7	odd	10	inner	297.2.x.a.95.34	yes	816
27.2	odd	18	inner	297.2.x.a.272.34	yes	816
27.25	even	9		891.2.bb.a.8.1		816
33.29	even	10		891.2.bb.a.557.1		816
297.29	even	90	inner	297.2.x.a.29.34	✓	816
297.106	odd	90		891.2.bb.a.656.1		816

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
297.2.x.a.29.34	✓	816	297.29	even	90	inner
297.2.x.a.41.34	yes	816	1.1	even	1	trivial
297.2.x.a.95.34	yes	816	11.7	odd	10	inner
297.2.x.a.272.34	yes	816	27.2	odd	18	inner
891.2.bb.a.8.1		816	27.25	even	9
891.2.bb.a.557.1		816	33.29	even	10
891.2.bb.a.656.1		816	297.106	odd	90
891.2.bb.a.800.1		816	3.2	odd	2

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:	\( N \)	\(=\)	\( 297 = 3^{3} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	297.x (of order \(90\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(1.90595 + 1.84056i) q^{2} +(1.60172 - 0.659162i) q^{3} +(0.175206 + 5.01725i) q^{4} +(-0.596870 + 0.148816i) q^{5} +(4.26603 + 1.69173i) q^{6} +(-1.35158 - 1.05597i) q^{7} +(-5.35476 + 5.94706i) q^{8} +(2.13101 - 2.11158i) q^{9} +O(q^{10})\)	\(q+(1.90595 + 1.84056i) q^{2} +(1.60172 - 0.659162i) q^{3} +(0.175206 + 5.01725i) q^{4} +(-0.596870 + 0.148816i) q^{5} +(4.26603 + 1.69173i) q^{6} +(-1.35158 - 1.05597i) q^{7} +(-5.35476 + 5.94706i) q^{8} +(2.13101 - 2.11158i) q^{9} +(-1.41151 - 0.814937i) q^{10} +(-2.02183 - 2.62910i) q^{11} +(3.58781 + 7.92073i) q^{12} +(1.16895 - 0.570137i) q^{13} +(-0.632476 - 4.50030i) q^{14} +(-0.857925 + 0.631796i) q^{15} +(-11.1357 + 0.778681i) q^{16} +(-0.422020 + 0.187896i) q^{17} +(7.94810 - 0.102330i) q^{18} +(0.505207 + 0.454891i) q^{19} +(-0.851224 - 2.96857i) q^{20} +(-2.86092 - 0.800461i) q^{21} +(0.985499 - 8.73225i) q^{22} +(-1.57794 - 4.33534i) q^{23} +(-4.65675 + 13.0552i) q^{24} +(-4.08063 + 2.16971i) q^{25} +(3.27734 + 1.06487i) q^{26} +(2.02141 - 4.78685i) q^{27} +(5.06127 - 6.96624i) q^{28} +(10.1195 + 1.42220i) q^{29} +(-2.79802 - 0.374886i) q^{30} +(-2.67248 + 3.96211i) q^{31} +(-10.3966 - 8.72380i) q^{32} +(-4.97141 - 2.87837i) q^{33} +(-1.15018 - 0.418632i) q^{34} +(0.963866 + 0.429141i) q^{35} +(10.9677 + 10.3219i) q^{36} +(4.81972 + 5.35285i) q^{37} +(0.125649 + 1.79686i) q^{38} +(1.49653 - 1.68373i) q^{39} +(2.31107 - 4.34650i) q^{40} +(-9.35861 + 1.31527i) q^{41} +(-3.97948 - 6.79132i) q^{42} +(3.76508 + 4.48705i) q^{43} +(12.8366 - 10.6047i) q^{44} +(-0.957699 + 1.57747i) q^{45} +(4.97198 - 11.1672i) q^{46} +(-7.78223 - 0.271762i) q^{47} +(-17.3229 + 8.58743i) q^{48} +(-0.981753 - 3.93760i) q^{49} +(-11.7710 - 3.37527i) q^{50} +(-0.552105 + 0.579135i) q^{51} +(3.06533 + 5.76504i) q^{52} +(-3.92774 - 5.40607i) q^{53} +(12.6632 - 5.40299i) q^{54} +(1.59803 + 1.26835i) q^{55} +(13.5173 - 2.38347i) q^{56} +(1.10905 + 0.395594i) q^{57} +(16.6696 + 21.3362i) q^{58} +(-6.29133 - 10.0682i) q^{59} +(-3.32019 - 4.19373i) q^{60} +(4.72808 - 3.18913i) q^{61} +(-12.3861 + 2.63275i) q^{62} +(-5.11002 + 0.603692i) q^{63} +(-1.42514 - 13.5593i) q^{64} +(-0.612868 + 0.514258i) q^{65} +(-4.17747 - 14.6362i) q^{66} +(0.459764 - 2.60745i) q^{67} +(-1.01666 - 2.08446i) q^{68} +(-5.38510 - 5.90389i) q^{69} +(1.04723 + 2.59197i) q^{70} +(4.57064 + 10.2658i) q^{71} +(1.14667 + 23.9803i) q^{72} +(3.33968 + 15.7120i) q^{73} +(-0.666053 + 19.0733i) q^{74} +(-5.10584 + 6.16506i) q^{75} +(-2.19378 + 2.61445i) q^{76} +(-0.0435864 + 5.68846i) q^{77} +(5.95131 - 0.454670i) q^{78} +(0.817920 - 0.846981i) q^{79} +(6.53066 - 2.12194i) q^{80} +(0.0824242 - 8.99962i) q^{81} +(-20.2579 - 14.7182i) q^{82} +(-7.00971 + 14.3720i) q^{83} +(3.51486 - 14.4942i) q^{84} +(0.223929 - 0.174953i) q^{85} +(-1.08260 + 15.4820i) q^{86} +(17.1461 - 4.39241i) q^{87} +(26.4619 + 2.05425i) q^{88} +(11.2798 - 6.51241i) q^{89} +(-4.72876 + 1.24389i) q^{90} +(-2.18199 - 0.463796i) q^{91} +(21.4750 - 8.67647i) q^{92} +(-1.66889 + 8.10778i) q^{93} +(-14.3324 - 14.8416i) q^{94} +(-0.369238 - 0.196328i) q^{95} +(-22.4029 - 7.12003i) q^{96} +(1.89794 - 7.61221i) q^{97} +(5.37620 - 9.31185i) q^{98} +(-9.86013 - 1.33338i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 816 q - 30 q^{2} - 18 q^{3} - 18 q^{4} - 21 q^{5} - 30 q^{6} - 30 q^{7} - 45 q^{8} - 36 q^{9}+O(q^{10}) \) 816 * q - 30 * q^2 - 18 * q^3 - 18 * q^4 - 21 * q^5 - 30 * q^6 - 30 * q^7 - 45 * q^8 - 36 * q^9	\( 816 q - 30 q^{2} - 18 q^{3} - 18 q^{4} - 21 q^{5} - 30 q^{6} - 30 q^{7} - 45 q^{8} - 36 q^{9} - 33 q^{11} - 30 q^{12} - 30 q^{13} - 18 q^{14} - 21 q^{15} - 30 q^{16} - 45 q^{17} - 15 q^{19} - 60 q^{20} - 15 q^{22} - 84 q^{23} - 30 q^{24} - 27 q^{25} + 36 q^{27} - 60 q^{28} + 60 q^{29} - 75 q^{30} - 9 q^{31} - 63 q^{33} - 42 q^{34} - 45 q^{35} + 36 q^{36} - 9 q^{37} - 18 q^{38} - 150 q^{39} - 90 q^{40} - 30 q^{41} - 66 q^{42} - 108 q^{44} + 24 q^{45} - 15 q^{46} - 6 q^{47} + 174 q^{48} - 18 q^{49} - 105 q^{50} - 30 q^{51} - 30 q^{52} - 48 q^{55} + 54 q^{56} - 75 q^{57} - 18 q^{58} + 81 q^{59} - 72 q^{60} - 30 q^{61} - 45 q^{62} - 30 q^{63} + 51 q^{64} - 75 q^{66} + 6 q^{67} - 225 q^{68} + 9 q^{69} - 93 q^{70} - 27 q^{71} - 30 q^{72} - 15 q^{73} - 30 q^{74} + 42 q^{75} - 141 q^{77} + 30 q^{78} - 30 q^{79} + 48 q^{81} - 36 q^{82} + 15 q^{83} + 90 q^{84} - 30 q^{85} + 93 q^{86} - 108 q^{88} + 54 q^{89} - 15 q^{90} - 9 q^{91} + 276 q^{92} + 87 q^{93} - 30 q^{94} + 90 q^{95} + 90 q^{96} - 81 q^{97} + 3 q^{99}+O(q^{100}) \) 816 * q - 30 * q^2 - 18 * q^3 - 18 * q^4 - 21 * q^5 - 30 * q^6 - 30 * q^7 - 45 * q^8 - 36 * q^9 - 33 * q^11 - 30 * q^12 - 30 * q^13 - 18 * q^14 - 21 * q^15 - 30 * q^16 - 45 * q^17 - 15 * q^19 - 60 * q^20 - 15 * q^22 - 84 * q^23 - 30 * q^24 - 27 * q^25 + 36 * q^27 - 60 * q^28 + 60 * q^29 - 75 * q^30 - 9 * q^31 - 63 * q^33 - 42 * q^34 - 45 * q^35 + 36 * q^36 - 9 * q^37 - 18 * q^38 - 150 * q^39 - 90 * q^40 - 30 * q^41 - 66 * q^42 - 108 * q^44 + 24 * q^45 - 15 * q^46 - 6 * q^47 + 174 * q^48 - 18 * q^49 - 105 * q^50 - 30 * q^51 - 30 * q^52 - 48 * q^55 + 54 * q^56 - 75 * q^57 - 18 * q^58 + 81 * q^59 - 72 * q^60 - 30 * q^61 - 45 * q^62 - 30 * q^63 + 51 * q^64 - 75 * q^66 + 6 * q^67 - 225 * q^68 + 9 * q^69 - 93 * q^70 - 27 * q^71 - 30 * q^72 - 15 * q^73 - 30 * q^74 + 42 * q^75 - 141 * q^77 + 30 * q^78 - 30 * q^79 + 48 * q^81 - 36 * q^82 + 15 * q^83 + 90 * q^84 - 30 * q^85 + 93 * q^86 - 108 * q^88 + 54 * q^89 - 15 * q^90 - 9 * q^91 + 276 * q^92 + 87 * q^93 - 30 * q^94 + 90 * q^95 + 90 * q^96 - 81 * q^97 + 3 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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